pyne.cc

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// This file is composed of the following original files:

//   license.txt
//   src/utils.cpp
//   src/state_map.cpp
//   src/nucname.cpp
//   src/rxname.cpp
//   src/_atomic_data.cpp
//   src/data.cpp
//   src/jsoncpp.cpp
//   src/jsoncustomwriter.cpp
//   src/material.cpp
//   src/enrichment_cascade.cpp
//   src/enrichment.cpp
//   src/enrichment_symbolic20.cpp
//   src/_decay.cpp

// PyNE amalgated source http://pyne.io/
#include "pyne.h"

//
// start of license.txt
//
// Copyright 2011-2015, the PyNE Development Team. All rights reserved.
// 
// Redistribution and use in source and binary forms, with or without modification, are
// permitted provided that the following conditions are met:
// 
//    1. Redistributions of source code must retain the above copyright notice, this list of
//       conditions and the following disclaimer.
// 
//    2. Redistributions in binary form must reproduce the above copyright notice, this list
//       of conditions and the following disclaimer in the documentation and/or other materials
//       provided with the distribution.
// 
// THIS SOFTWARE IS PROVIDED BY THE PYNE DEVELOPMENT TEAM ``AS IS'' AND ANY EXPRESS OR IMPLIED
// WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
// FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL <COPYRIGHT HOLDER> OR
// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
// CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
// SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
// ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
// ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
// 
// The views and conclusions contained in the software and documentation are those of the
// authors and should not be interpreted as representing official policies, either expressed
// or implied, of the stakeholders of the PyNE project or the employers of PyNE developers.
// 
// -------------------------------------------------------------------------------
// The files cpp/measure.cpp and cpp/measure.hpp are covered by:
// 
// Copyright 2004 Sandia Corporation.  Under the terms of Contract
// DE-AC04-94AL85000 with Sandia Coroporation, the U.S. Government
// retains certain rights in this software.
// 
// http://trac.mcs.anl.gov/projects/ITAPS/wiki/MOAB
// //
// end of license.txt
//


//
// start of src/utils.cpp
//
// General Library
#ifndef PYNE_IS_AMALGAMATED
extern "C" double endftod_(char *str, int len);
#endif

#ifndef PYNE_IS_AMALGAMATED
#include "utils.h"
#endif


// PyNE Globals

std::string pyne::PYNE_DATA = "";
std::string pyne::NUC_DATA_PATH = "";

void pyne::pyne_start() {
#if defined __WIN_MSVC__
  char * tmpPYNE_DATA;
  size_t lenPYNE_DATA;
  errno_t errPYNE_DATA = _dupenv_s(&tmpPYNE_DATA, &lenPYNE_DATA, "PYNE_DATA");
  if (errPYNE_DATA)
    tmpPYNE_DATA = (char *) "<NOT_FOUND>";
  PYNE_DATA = (std::string) tmpPYNE_DATA;

  char * tmpNUC_DATA_PATH;
  size_t lenNUC_DATA_PATH;
  errno_t errNUC_DATA_PATH = _dupenv_s(&tmpNUC_DATA_PATH, &lenNUC_DATA_PATH, "NUC_DATA_PATH");
  if (errPYNE_DATA)
    tmpNUC_DATA_PATH = (char *) "<NOT_FOUND>";
  NUC_DATA_PATH = (std::string) tmpNUC_DATA_PATH;
#else
  char * tmppath;
  tmppath = getenv("PYNE_DATA");
  if (tmppath == NULL)
      tmppath = (char *) "<NOT_FOUND>";
  PYNE_DATA = std::string(tmppath);

  tmppath = getenv("NUC_DATA_PATH");
  if (tmppath == NULL)
      tmppath = (char *) "<NOT_FOUND>";
  NUC_DATA_PATH = std::string(tmppath);
#endif
  return;
}



// String Transformations
std::string pyne::to_str(int t) {
  std::stringstream ss;
  ss << t;
  return ss.str();
}

std::string pyne::to_str(unsigned int t) {
  std::stringstream ss;
  ss << t;
  return ss.str();
}

std::string pyne::to_str(double t) {
  std::stringstream ss;
  ss << t;
  return ss.str();
}

std::string pyne::to_str(bool t) {
  std::stringstream ss;
  ss << t;
  return ss.str();
}


int pyne::to_int(std::string s) {
  return atoi( s.c_str() );
}

double pyne::to_dbl(std::string s) {
  return strtod( s.c_str(), NULL );
}

double pyne::endftod_cpp(char * s) {
  // Converts string from ENDF only handles "E-less" format but is 5x faster
  int pos, mant, exp;
  double v, dbl_exp;

  mant = exp = 0;
  if (s[2] == '.') {
    // Convert an ENDF float
    if (s[9] == '+' or s[9] == '-') {
      // All these factors of ten are from place values.
      mant = s[8] + 10 * s[7] + 100 * s[6] + 1000 * s[5] + 10000 * s[4] + \
             100000 * s[3] + 1000000 * s[1] - 1111111 * '0';
      exp = s[10] - '0';
      // Make the right power of 10.
      dbl_exp = exp & 01? 10.: 1;
      dbl_exp *= (exp >>= 1) & 01? 100.: 1;
      dbl_exp *= (exp >>= 1) & 01? 1.0e4: 1;
      dbl_exp *= (exp >>= 1) & 01? 1.0e8: 1;
      // Adjust for powers of ten from treating mantissa as an integer.
      dbl_exp = (s[9] == '-'? 1/dbl_exp: dbl_exp) * 1.0e-6;
      // Get mantissa sign, apply exponent.
      v = mant * (s[0] == '-'? -1: 1) * dbl_exp;
    }
    else {
      mant = s[7] + 10 * s[6] + 100 * s[5] + 1000 * s[4] + 10000 * s[3] + \
             100000 * s[1] - 111111 * '0';
      exp = s[10] + 10 * s[9] - 11 * '0';
      dbl_exp = exp & 01? 10.: 1;
      dbl_exp *= (exp >>= 1) & 01? 100.: 1;
      dbl_exp *= (exp >>= 1) & 01? 1.0e4: 1;
      dbl_exp *= (exp >>= 1) & 01? 1.0e8: 1;
      dbl_exp *= (exp >>= 1) & 01? 1.0e16: 1;
      dbl_exp *= (exp >>= 1) & 01? 1.0e32: 1;
      dbl_exp *= (exp >>= 1) & 01? 1.0e64: 1;
      dbl_exp = (s[8] == '-'? 1/dbl_exp: dbl_exp) * 1.0e-5;
      v = mant * (s[0] == '-'? -1: 1) * dbl_exp;
    }
  }

  // Convert an ENDF int to float; we start from the last char in the field and
  // move forward until we hit a non-digit.
  else {
    v = 0;
    mant = 1; // Here we use mant for the place value about to be read in.
    pos = 10;
    while (s[pos] != '-' and s[pos] != '+' and s[pos] != ' ' and pos > 0) {
      v += mant * (s[pos] - '0');
      mant *= 10;
      pos--;
    }
    v *= (s[pos] == '-'? -1: 1);
  }
  return v;
}

double pyne::endftod_f(char * s) {
#ifdef PYNE_IS_AMALGAMATED
  return endftod_cpp(s);
#else
  return endftod_(s, 12);
#endif
}

double (*pyne::endftod)(char * s) = &pyne::endftod_f;

void pyne::use_fast_endftod() {
  pyne::endftod = &pyne::endftod_cpp;
}

std::string pyne::to_upper(std::string s) {
  // change each element of the string to upper case.
  for(unsigned int i = 0; i < s.length(); i++)
    s[i] = toupper(s[i]);
  return s;
}

std::string pyne::to_lower(std::string s) {
  // change each element of the string to lower case
  for(unsigned int i = 0; i < s.length(); i++)
    s[i] = tolower(s[i]);
  return s;
}


std::string pyne::capitalize(std::string s) {
  unsigned int slen = s.length();
  if (slen == 0)
    return s;
  // uppercase the first character
  s[0] = toupper(s[0]);
  // change each subsequent element of the string to lower case
  for(unsigned int i = 1; i < slen; i++)
    s[i] = tolower(s[i]);
  return s;
}


std::string pyne::get_flag(char line[], int max_l) {
  char tempflag [10];
  for (int i = 0; i < max_l; i++)
  {
    if (line[i] == '\t' || line[i] == '\n' || line[i] == ' ' || line[i] == '\0')
    {
      tempflag[i] = '\0';
      break;
    }
    else
      tempflag[i] = line[i];
  }
  return std::string (tempflag);
}



std::string pyne::remove_substring(std::string s, std::string substr) {
  // Removes a substring from the string s
  int n_found = s.find(substr);
  while ( 0 <= n_found ) {
    s.erase( n_found , substr.length() );
    n_found = s.find(substr);
  }
  return s;
}


std::string pyne::remove_characters(std::string s, std::string chars) {
  // Removes all characters in the string chars from the string s
  for (int i = 0; i < chars.length(); i++ ) {
    s = remove_substring(s, chars.substr(i, 1) );
  }
  return s;
}


std::string pyne::replace_all_substrings(std::string s, std::string substr, std::string repstr) {
  // Replaces all instance of substr in s with the string repstr
  int n_found = s.find(substr);
  while ( 0 <= n_found ) {
    s.replace( n_found , substr.length(), repstr );
    n_found = s.find(substr);
  }
  return s;
}



std::string pyne::last_char(std::string s) {
    // Returns the last character in a string.
    return s.substr(s.length()-1, 1);
}


std::string pyne::slice_from_end(std::string s, int n, int l) {
  // Returns the slice of a string using negative indices.
  return s.substr(s.length()+n, l);
}


bool pyne::ternary_ge(int a, int b, int c) {
  // Returns true id a <= b <= c and flase otherwise.
  return (a <= b && b <= c);
}


bool pyne::contains_substring(std::string s, std::string substr) {
  // Returns a boolean based on if the sub is in s.
  int n = s.find(substr);
  return ( 0 <= n && n < s.length() );
}


std::string pyne::natural_naming(std::string name) {
  // Calculates a version on the string name that is a valid
  // variable name, ie it uses only word characters.
  std::string nat_name (name);

  // Replace Whitespace characters with underscores
  nat_name = pyne::replace_all_substrings(nat_name, " ",  "_");
  nat_name = pyne::replace_all_substrings(nat_name, "\t", "_");
  nat_name = pyne::replace_all_substrings(nat_name, "\n", "_");

  // Remove non-word characters
  int n = 0;
  while ( n < nat_name.length() ) {
    if ( pyne::words.find(nat_name[n]) == std::string::npos )
      nat_name.erase(n, 1);
    else
      n++;
  }

  // Make sure that the name in non-empty before continuing
  if (nat_name.length() == 0)
    return nat_name;

  // Make sure that the name doesn't begin with a number.
  if ( pyne::digits.find(nat_name[0]) != std::string::npos)
    nat_name.insert(0, "_");

  return nat_name;
}


//
// Math Helpers
//

double pyne::slope(double x2, double y2, double x1, double y1) {
  // Finds the slope of a line.
  return (y2 - y1) / (x2 - x1);
}


double pyne::solve_line(double x, double x2, double y2, double x1, double y1) {
  return (slope(x2,y2,x1,y1) * (x - x2)) + y2;
}


double pyne::tanh(double x) {
  return std::tanh(x);
}

double pyne::coth(double x) {
  return 1.0 / std::tanh(x);
}



// File Helpers

bool pyne::file_exists(std::string strfilename) {
  // Thank you intarwebz for this function!
  // Sepcifically: http://www.techbytes.ca/techbyte103.html
  struct stat stFileInfo;
  bool blnReturn;
  int intStat;

  // Attempt to get the file attributes
  intStat = stat(strfilename.c_str(), &stFileInfo);

  if(intStat == 0) {
    // We were able to get the file attributes
    // so the file obviously exists.
    blnReturn = true;
  }
  else {
    // We were not able to get the file attributes.
    // This may mean that we don't have permission to
    // access the folder which contains this file. If you
    // need to do that level of checking, lookup the
    // return values of stat which will give you
    // more details on why stat failed.
    blnReturn = false;
  }

  return(blnReturn);
}

// Message Helpers
 
bool pyne::USE_WARNINGS = true;

bool pyne::toggle_warnings(){
  USE_WARNINGS = !USE_WARNINGS;
  return USE_WARNINGS;
}

void pyne::warning(std::string s){
  // Prints a warning message
  if (USE_WARNINGS){
    std::cout << "\033[1;33m WARNING: \033[0m" << s << "\n"; 
  }  
}




//
// end of src/utils.cpp
//


//
// start of src/state_map.cpp
//
//Mapping file for state ids to nuc ids
//This File was autogenerated!!
#ifndef PYNE_4HFU6PUEQJB3ZJ4UIFLVU4SPCM
#define PYNE_4HFU6PUEQJB3ZJ4UIFLVU4SPCM
namespace pyne {
namespace nucname {
#define TOTAL_STATE_MAPS 922
std::map<int, int> state_id_map;
int map_nuc_ids [TOTAL_STATE_MAPS] = {110240001,
130240001,
130260001,
130320002,
170340001,
170380001,
190380001,
190380015,
210420002,
210430001,
210440004,
230440001,
210450001,
210460002,
230460001,
210500001,
250500001,
250520001,
260520041,
260530022,
270540001,
210560001,
210560004,
250580001,
270580001,
270580002,
230600000,
230600001,
250600001,
270600001,
250620001,
270620001,
230640001,
250640002,
260650003,
260670002,
290670023,
280690001,
280690008,
300690001,
340690004,
290700001,
290700003,
350700006,
280710002,
300710001,
320710002,
300730001,
300730002,
320730002,
340730001,
360730004,
310740002,
350740002,
290750001,
290750002,
300750001,
320750002,
330750004,
280760004,
290760001,
350760002,
300770002,
320770001,
330770004,
340770001,
350770001,
300780004,
310780004,
350780004,
370780003,
390780001,
320790001,
330790007,
340790001,
350790001,
360790001,
310800001,
350800002,
390800001,
390800003,
320810001,
340810001,
360810002,
370810001,
330820001,
340820015,
350820001,
370820001,
410820003,
340830001,
360830002,
380830002,
390830001,
310840001,
350840001,
360840019,
360840061,
370840002,
390840002,
410840007,
360850001,
370850003,
380850002,
390850001,
400850002,
410850003,
410850005,
370860002,
390860002,
410860001,
410860002,
380870001,
390870001,
400870002,
350880003,
410880001,
430880000,
430880001,
390890001,
400890001,
410890001,
420890002,
430890001,
370900001,
390900002,
400900003,
410900002,
410900007,
430900001,
430900006,
390910001,
400910040,
410910001,
420910001,
430910001,
440910001,
450910001,
410920001,
450920001,
390930002,
410930001,
420930016,
430930001,
440930001,
470940001,
470940002,
390970001,
390970029,
410970001,
430970001,
450970001,
370980001,
390980005,
410980001,
450980001,
410990001,
430990002,
450990001,
470990002,
371000001,
391000004,
411000001,
411000009,
411000012,
431000002,
431000004,
451000004,
471000001,
471010002,
411020001,
431020001,
451020005,
471020001,
441030005,
451030001,
471030002,
491030001,
411040004,
451040003,
471040001,
491040003,
451050001,
471050001,
491050001,
451060001,
471060001,
491060001,
431070000,
461070002,
471070001,
491070001,
401080003,
461090002,
471090001,
491090001,
491090021,
451100000,
451100001,
471100002,
491100001,
461110002,
471110001,
491110001,
451120000,
451120001,
491120001,
491120004,
491120010,
471130001,
481130001,
491130001,
501130001,
451140005,
491140001,
491140005,
531140005,
461150001,
471150001,
481150001,
491150001,
521150001,
451160001,
471160001,
471160004,
511160003,
551160001,
471180004,
491180001,
491180003,
511180007,
531180002,
551180001,
471190000,
471190001,
481190002,
491190001,
501190002,
511190072,
521190002,
551190001,
451200002,
471200002,
491200001,
491200002,
511200001,
531200013,
551200001,
571200000,
461210001,
481210002,
491210001,
501210001,
521210002,
551210001,
451220002,
471220001,
471220002,
491220001,
491220005,
511220005,
511220006,
551220007,
551220008,
481230003,
491230001,
501230001,
521230002,
551230005,
461240004,
491240002,
501240016,
511240001,
511240002,
551240025,
481250001,
491250001,
501250001,
521250002,
541250002,
571250005,
461260003,
461260004,
491260001,
511260001,
511260002,
481270006,
491270001,
491270009,
501270001,
521270002,
541270002,
561270002,
571270001,
581270001,
461280004,
491280003,
501280003,
511280001,
571280001,
471290001,
481290001,
491290001,
491290010,
491290012,
491290013,
501290001,
501290017,
501290018,
501290025,
511290011,
511290012,
511290023,
521290001,
541290002,
551290010,
561290001,
571290002,
601290001,
601290003,
491300001,
491300002,
491300003,
501300002,
511300001,
531300001,
551300004,
561300030,
591300002,
491310001,
491310004,
501310001,
521310001,
521310033,
541310002,
561310002,
571310006,
581310001,
591310002,
501320006,
511320001,
521320006,
521320022,
531320003,
541320030,
571320004,
581320030,
491330001,
521330002,
531330016,
531330059,
531330065,
541330001,
561330002,
581330001,
591330003,
601330001,
611330005,
621330000,
511340002,
521340003,
531340005,
541340007,
601340017,
611340000,
611340001,
521350010,
541350002,
551350010,
561350002,
581350004,
591350004,
601350001,
611350000,
611350003,
501360003,
531360006,
551360001,
561360005,
611360000,
611360001,
631360001,
561370002,
581370002,
601370004,
501380003,
551380003,
581380005,
591380005,
581390002,
601390002,
611390001,
621390004,
641390001,
591400003,
591400015,
601400009,
611400008,
631400004,
601410002,
621410002,
631410001,
641410004,
651410001,
591420001,
591420024,
601420004,
611420012,
631420031,
641420019,
641420020,
651420003,
621430002,
621430043,
641430002,
651430001,
661430003,
551440004,
591440001,
651440004,
651440006,
651440007,
671440003,
641450002,
651450004,
661450002,
681450002,
571460001,
631460013,
651460022,
651460026,
661460008,
651470001,
661470002,
681470002,
691470001,
591480000,
591480001,
611480003,
651480001,
671480001,
671480012,
681480008,
651490001,
661490027,
671490001,
681490002,
631500001,
651500002,
671500001,
691500005,
581510001,
621510012,
631510002,
651510003,
671510001,
681510021,
691510001,
691510012,
701510001,
701510005,
701510010,
611520004,
611520014,
631520001,
631520016,
651520006,
671520001,
691520006,
691520018,
691520019,
701520006,
621530006,
641530003,
641530008,
651530003,
671530001,
691530001,
601540003,
611540000,
611540001,
631540013,
651540001,
651540002,
711540015,
721540006,
641550006,
661550009,
671550002,
691550001,
711550001,
711550004,
611560002,
651560002,
651560004,
671560001,
671560012,
711560001,
721560004,
641570012,
661570005,
651580003,
651580019,
671580001,
671580007,
711580000,
621590006,
641590002,
661590009,
671590003,
671600001,
671600006,
691600002,
711600001,
671610002,
681610014,
691610001,
711610004,
671620003,
691620020,
711620008,
711620009,
751620001,
671630003,
751630001,
671640003,
691640001,
771640001,
661650002,
751650001,
771650001,
671660001,
691660006,
711660001,
711660002,
681670003,
711670001,
751670001,
671680001,
711680013,
771680001,
701690001,
711690001,
751690001,
771690001,
671700001,
711700008,
771700001,
711710001,
721710001,
771710001,
781710002,
711720001,
711720005,
751720001,
771720002,
791720001,
771730000,
771730029,
791730001,
711740003,
771740001,
701750007,
711750053,
791750001,
701760005,
711760001,
731760012,
731760090,
791760001,
791760002,
691770000,
701770006,
711770029,
711770203,
721770048,
721770107,
791770002,
711780003,
721780005,
721780109,
731780000,
731780059,
731780094,
731780139,
711790006,
721790005,
721790046,
731790117,
741790002,
751790137,
791790007,
811790001,
711800010,
721800007,
731800002,
721810025,
721810078,
761810001,
811810002,
721820009,
721820026,
731820001,
731820029,
751820001,
761820029,
741830007,
751830058,
761830002,
781830001,
811830002,
721840005,
751840005,
771840007,
781840034,
791840003,
741850006,
781850002,
791850001,
801850004,
811850003,
751860004,
771860001,
811860000,
811860005,
831860001,
791870002,
801870001,
811870002,
821870001,
831870002,
751880007,
811880001,
761890001,
771890006,
771890084,
791890003,
801890002,
811890001,
821890001,
831890002,
831890003,
731900002,
741900006,
751900003,
761900032,
771900002,
771900037,
791900014,
811900000,
811900001,
811900006,
831900000,
831900001,
761910001,
771910003,
771910071,
791910004,
801910035,
811910002,
821910002,
831910002,
751920002,
751920003,
761920047,
761920112,
771920003,
771920015,
791920004,
791920015,
811920002,
811920008,
821920011,
821920014,
821920017,
821920020,
821920021,
831920001,
841920006,
851920000,
851920001,
771930002,
781930005,
791930004,
801930003,
811930002,
821930001,
831930001,
851930001,
851930002,
751940001,
751940002,
751940003,
771940007,
771940012,
791940003,
791940008,
811940001,
831940001,
831940002,
851940000,
851940001,
761950002,
761950004,
771950002,
781950007,
791950004,
791950055,
801950003,
811950002,
821950002,
831950001,
841950002,
851950001,
861950001,
751960001,
771960004,
791960003,
791960054,
811960006,
831960002,
831960003,
841960015,
761970001,
771970002,
781970009,
791970004,
801970004,
811970002,
821970002,
831970001,
841970002,
851970001,
861970001,
761980006,
761980010,
771980001,
791980050,
811980007,
811980012,
831980001,
831980003,
851980001,
871980001,
781990008,
791990006,
801990007,
811990003,
821990003,
831990001,
841990002,
861990001,
812000010,
832000001,
832000003,
852000001,
852000003,
802010013,
812010003,
822010004,
832010001,
842010003,
862010001,
872010001,
882010000,
782020003,
822020014,
852020001,
852020002,
872020001,
822030006,
822030053,
832030006,
842030005,
862030001,
882030001,
812040029,
822040021,
832040008,
832040038,
852040001,
872040001,
872040002,
802050008,
822050009,
842050010,
842050017,
882050001,
812060045,
832060016,
872060001,
872060002,
892060001,
812070002,
822070003,
832070036,
842070014,
862070007,
882070001,
802080004,
832080018,
802100002,
802100005,
832100002,
822110014,
832110021,
842110015,
852110076,
872110013,
872110019,
832120005,
832120012,
842120030,
852120004,
882130005,
852140006,
862140004,
862140005,
872140001,
902140004,
832150009,
862150013,
902150003,
872160001,
832170005,
892170010,
902170001,
912170001,
872180002,
922180001,
892220001,
912340002,
922350001,
932360001,
952360001,
942370003,
922380101,
932380128,
942380041,
942380044,
952380001,
942390090,
942390094,
952390011,
932400001,
942400102,
952400057,
962400002,
962400003,
942410106,
942410107,
952410075,
962410007,
932420007,
942420044,
942420045,
952420002,
952420141,
962420004,
962420005,
972420002,
972420003,
942440032,
952440001,
952440112,
952440113,
962440009,
962440013,
962440014,
972440004,
982440002,
942450024,
952450021,
962450061,
972450003,
1012450001,
952460001,
952460008,
972460000,
982460002,
992460000,
1012460000,
1012460001,
1002470001,
1002470002,
972480001,
992500001,
1002500001,
1002500002,
1022500001,
1022510002,
1002530008,
1022530003,
1022530030,
1022530031,
1022530032,
1032530000,
1032530001,
992540002,
1012540000,
1012540001,
1022540011,
1032550001,
1032550027,
992560001,
1002560022,
1042560007,
1042560009,
1042560012,
1042570002,
1052570002,
1012580001,
1052580001,
1042610001,
1072620001,
1062630003,
1062650001,
1082650001,
1082670002,
1102700001,
1102710001,
1082770001,
};int map_metastable [TOTAL_STATE_MAPS] = {1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
2,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
2,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
2,
3,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
3,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
2,
1,
1,
1,
1,
1,
1,
2,
1,
2,
3,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
2,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
2,
1,
2,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
3,
4,
1,
2,
3,
4,
1,
2,
3,
1,
1,
1,
1,
1,
1,
2,
1,
2,
3,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
2,
3,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
2,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
2,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
2,
3,
1,
2,
1,
2,
1,
1,
1,
2,
3,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
2,
1,
2,
1,
1,
2,
1,
1,
2,
1,
2,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
2,
1,
1,
1,
2,
1,
2,
3,
4,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
2,
3,
1,
1,
1,
2,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
2,
1,
1,
2,
3,
1,
2,
1,
1,
2,
1,
1,
1,
1,
1,
1,
2,
1,
2,
1,
2,
1,
2,
1,
2,
1,
2,
3,
4,
5,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
2,
3,
1,
2,
1,
2,
1,
1,
2,
1,
2,
1,
2,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
2,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
2,
1,
1,
1,
2,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
2,
1,
2,
2,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
2,
1,
1,
2,
1,
2,
1,
2,
1,
2,
1,
2,
1,
1,
2,
3,
1,
2,
3,
1,
1,
1,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
2,
2,
1,
1,
1,
1,
2,
1,
1,
1,
1,
2,
3,
4,
1,
1,
1,
1,
2,
1,
1,
2,
1,
1,
1,
2,
3,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
};
}
}
#endif//
// end of src/state_map.cpp
//


//
// start of src/nucname.cpp
//
// Converts between naming conventions for nuclides.
// zzaaam is for numerals only (923350).
// name is for letters  as well (U-235).
// MCNP is for numerals without the meta-stable flag (92235), as used in MCNP.

#ifndef PYNE_IS_AMALGAMATED
#include "nucname.h"
#include "state_map.cpp"
#endif


/*** Constructs the LL to zz Dictionary ***/
pyne::nucname::name_zz_t pyne::nucname::get_name_zz() {
  pyne::nucname::name_zz_t lzd;

  lzd["Be"] = 04;
  lzd["Ba"] = 56;
  lzd["Bh"] = 107;
  lzd["Bi"] = 83;
  lzd["Bk"] = 97;
  lzd["Br"] = 35;
  lzd["Ru"] = 44;
  lzd["Re"] = 75;
  lzd["Rf"] = 104;
  lzd["Rg"] = 111;
  lzd["Ra"] = 88;
  lzd["Rb"] = 37;
  lzd["Rn"] = 86;
  lzd["Rh"] = 45;
  lzd["Tm"] = 69;
  lzd["H"] = 01;
  lzd["P"] = 15;
  lzd["Ge"] = 32;
  lzd["Gd"] = 64;
  lzd["Ga"] = 31;
  lzd["Os"] = 76;
  lzd["Hs"] = 108;
  lzd["Zn"] = 30;
  lzd["Ho"] = 67;
  lzd["Hf"] = 72;
  lzd["Hg"] = 80;
  lzd["He"] = 02;
  lzd["Pr"] = 59;
  lzd["Pt"] = 78;
  lzd["Pu"] = 94;
  lzd["Pb"] = 82;
  lzd["Pa"] = 91;
  lzd["Pd"] = 46;
  lzd["Po"] = 84;
  lzd["Pm"] = 61;
  lzd["C"] = 6;
  lzd["K"] = 19;
  lzd["O"] = 8;
  lzd["S"] = 16;
  lzd["W"] = 74;
  lzd["Eu"] = 63;
  lzd["Es"] = 99;
  lzd["Er"] = 68;
  lzd["Md"] = 101;
  lzd["Mg"] = 12;
  lzd["Mo"] = 42;
  lzd["Mn"] = 25;
  lzd["Mt"] = 109;
  lzd["U"] = 92;
  lzd["Fr"] = 87;
  lzd["Fe"] = 26;
  lzd["Fm"] = 100;
  lzd["Ni"] = 28;
  lzd["No"] = 102;
  lzd["Na"] = 11;
  lzd["Nb"] = 41;
  lzd["Nd"] = 60;
  lzd["Ne"] = 10;
  lzd["Zr"] = 40;
  lzd["Np"] = 93;
  lzd["B"] = 05;
  lzd["Co"] = 27;
  lzd["Cm"] = 96;
  lzd["F"] = 9;
  lzd["Ca"] = 20;
  lzd["Cf"] = 98;
  lzd["Ce"] = 58;
  lzd["Cd"] = 48;
  lzd["V"] = 23;
  lzd["Cs"] = 55;
  lzd["Cr"] = 24;
  lzd["Cu"] = 29;
  lzd["Sr"] = 38;
  lzd["Kr"] = 36;
  lzd["Si"] = 14;
  lzd["Sn"] = 50;
  lzd["Sm"] = 62;
  lzd["Sc"] = 21;
  lzd["Sb"] = 51;
  lzd["Sg"] = 106;
  lzd["Se"] = 34;
  lzd["Yb"] = 70;
  lzd["Db"] = 105;
  lzd["Dy"] = 66;
  lzd["Ds"] = 110;
  lzd["La"] = 57;
  lzd["Cl"] = 17;
  lzd["Li"] = 03;
  lzd["Tl"] = 81;
  lzd["Lu"] = 71;
  lzd["Lr"] = 103;
  lzd["Th"] = 90;
  lzd["Ti"] = 22;
  lzd["Te"] = 52;
  lzd["Tb"] = 65;
  lzd["Tc"] = 43;
  lzd["Ta"] = 73;
  lzd["Ac"] = 89;
  lzd["Ag"] = 47;
  lzd["I"] = 53;
  lzd["Ir"] = 77;
  lzd["Am"] = 95;
  lzd["Al"] = 13;
  lzd["As"] = 33;
  lzd["Ar"] = 18;
  lzd["Au"] = 79;
  lzd["At"] = 85;
  lzd["In"] = 49;
  lzd["Y"] = 39;
  lzd["N"] = 07;
  lzd["Xe"] = 54;
  lzd["Cn"] = 112;
  lzd["Fl"] = 114;
  lzd["Lv"] = 116;

  return lzd;
}
pyne::nucname::name_zz_t pyne::nucname::name_zz = pyne::nucname::get_name_zz();


/*** Constructs zz to LL dictionary **/
pyne::nucname::zzname_t pyne::nucname::get_zz_name()
{
  zzname_t zld;
  for (name_zz_iter i = name_zz.begin(); i != name_zz.end(); i++)
  {
    zld[i->second] = i->first;
  }
  return zld;
}
pyne::nucname::zzname_t pyne::nucname::zz_name = pyne::nucname::get_zz_name();



/*** Constructs the fluka to zz Dictionary ***/
pyne::nucname::name_zz_t pyne::nucname::get_fluka_zz() {
  pyne::nucname::name_zz_t fzd;

  fzd["BERYLLIU"] = 40000000;
  fzd["BARIUM"]   = 560000000;
  fzd["BOHRIUM"]  = 1070000000;   // No fluka
  fzd["BISMUTH"]  = 830000000;
  fzd["BERKELIU"] = 970000000;    // No fluka 
  fzd["BROMINE"]  = 350000000;
  fzd["RUTHENIU"] = 440000000;    // No fluka
  fzd["RHENIUM"]  = 750000000;
  fzd["RUTHERFO"] = 1040000000;   
  fzd["ROENTGEN"] = 1110000000;
  fzd["RADIUM"]   = 880000000;    // No fluka
  fzd["RUBIDIUM"] = 370000000;    // No fluka
  fzd["RADON"]    = 860000000;    // no fluka
  fzd["RHODIUM"]  = 450000000;    // no fluka
  fzd["THULIUM"]  = 690000000;    // no fluka
  fzd["HYDROGEN"] = 10000000;        
  fzd["PHOSPHO"]  = 150000000;
  fzd["GERMANIU"] = 320000000;
  fzd["GADOLINI"] = 640000000;
  fzd["GALLIUM"]  = 310000000;
  fzd["OSMIUM"]   = 760000000;    // no fluka
  fzd["HASSIUM"]  = 1080000000;
  fzd["ZINC"]     = 300000000;
  fzd["HOLMIUM"]  = 670000000;    // no fluka
  fzd["HAFNIUM"]  = 720000000;
  fzd["MERCURY"]  = 800000000;
  fzd["HELIUM"]   = 20000000;
  fzd["PRASEODY"] = 590000000;   // no fluka
  fzd["PLATINUM"] = 780000000;
  fzd["239-PU"]   = 940000000;   // "239-PU"
  fzd["LEAD"]     = 820000000;
  fzd["PROTACTI"] = 910000000;   // no fluka
  fzd["PALLADIU"] = 460000000;   // no fluka
  fzd["POLONIUM"] = 840000000;   // no fluka 
  fzd["PROMETHI"] = 610000000;   // no fluka
  fzd["CARBON"]   = 60000000;
  fzd["POTASSIU"] = 190000000;
  fzd["OXYGEN"]   = 80000000;
  fzd["SULFUR"]   = 160000000;
  fzd["TUNGSTEN"] = 740000000;
  fzd["EUROPIUM"] = 630000000;
  fzd["EINSTEIN"] = 990000000;   // no fluka
  fzd["ERBIUM"]   = 680000000;   // no fluka
  fzd["MENDELEV"] = 1010000000;  // no fluka
  fzd["MAGNESIU"] = 120000000;
  fzd["MOLYBDEN"] = 420000000;
  fzd["MANGANES"] = 250000000;
  fzd["MEITNERI"] = 1090000000;  // no fluka
  fzd["URANIUM"]  = 920000000;
  fzd["FRANCIUM"] = 870000000;   // no fluka
  fzd["IRON"]     = 260000000;
  fzd["FERMIUM"]  = 1000000000;  // no fluka
  fzd["NICKEL"]   = 280000000;
  fzd["NITROGEN"] = 70000000;
  fzd["NOBELIUM"] = 1020000000;  // no fluka
  fzd["SODIUM"]   = 110000000;
  fzd["NIOBIUM"]  = 410000000;
  fzd["NEODYMIU"] = 600000000;
  fzd["NEON"]     = 100000000;
  fzd["ZIRCONIU"] = 400000000;
  fzd["NEPTUNIU"] = 930000000;   // no fluka
  fzd["BORON"]    = 50000000;
  fzd["COBALT"]   = 270000000;
  fzd["CURIUM"]   = 960000000;   // no fluka
  fzd["FLUORINE"] = 90000000;
  fzd["CALCIUM"]  = 200000000;
  fzd["CALIFORN"] = 980000000;   // no fluka
  fzd["CERIUM"]   = 580000000;
  fzd["CADMIUM"]  = 480000000;
  fzd["VANADIUM"] = 230000000;
  fzd["CESIUM"]   = 550000000;
  fzd["CHROMIUM"] = 240000000;
  fzd["COPPER"]   = 290000000;
  fzd["STRONTIU"] = 380000000;
  fzd["KRYPTON"]  = 360000000;
  fzd["SILICON"]  = 140000000;
  fzd["TIN"]      = 500000000;
  fzd["SAMARIUM"] = 620000000;
  fzd["SCANDIUM"] = 210000000;
  fzd["ANTIMONY"] = 510000000;
  fzd["SEABORGI"] = 1060000000;  // no fluka
  fzd["SELENIUM"] = 340000000;   // no fluka
  fzd["YTTERBIU"] = 700000000;   // no fluka
  fzd["DUBNIUM"]  = 1050000000;  // no fluka
  fzd["DYSPROSI"] = 660000000;   // no fluka
  fzd["DARMSTAD"] = 1100000000;  // no fluka
  fzd["LANTHANU"] = 570000000;
  fzd["CHLORINE"] = 170000000;
  fzd["LITHIUM"]  = 030000000;
  fzd["THALLIUM"] = 810000000;   // no fluka
  fzd["LUTETIUM"] = 710000000;   // no fluka
  fzd["LAWRENCI"] = 1030000000;  // no fluka
  fzd["THORIUM"]  = 900000000;   // no fluka
  fzd["TITANIUM"] = 220000000;
  fzd["TELLURIU"] = 520000000;   // no fluka
  fzd["TERBIUM"]  = 650000000;
  fzd["99-TC"]    = 430000000;   // "99-TC"
  fzd["TANTALUM"] = 730000000;
  fzd["ACTINIUM"] = 890000000;   // no fluka
  fzd["SILVER"]   = 470000000;
  fzd["IODINE"]   = 530000000;
  fzd["IRIDIUM"]  = 770000000;
  fzd["241-AM"]   = 950000000;   // "241-AM"
  fzd["ALUMINUM"] = 130000000;
  fzd["ARSENIC"]  = 330000000;
  fzd["ARGON"]    = 180000000;
  fzd["GOLD"]     = 790000000;
  fzd["ASTATINE"] = 850000000;   // no fluka
  fzd["INDIUM"]   = 490000000;
  fzd["YTTRIUM"]  = 390000000;
  fzd["XENON"]    = 540000000;
  fzd["COPERNIC"] = 1120000000;  // no fluka
  fzd["UNUNQUAD"] = 1140000000;  // no fluka:  UNUNQUADIUM,  "Flerovium"
  fzd["UNUNHEXI"] = 1160000000;  // no fluka:  UNUNHEXIUM , "Livermorium" 
  fzd["HYDROG-1"] = 10010000;        
  fzd["DEUTERIU"] = 10020000;        
  fzd["TRITIUM"]  = 10040000;        
  fzd["HELIUM-3"] = 20030000;
  fzd["HELIUM-4"] = 20040000;
  fzd["LITHIU-6"] = 30060000;
  fzd["LITHIU-7"] = 30070000;
  fzd["BORON-10"] = 50100000;
  fzd["BORON-11"] = 50110000;
  fzd["90-SR"]    = 380900000;   // fluka "90-SR"
  fzd["129-I"]    = 531290000;   // fluka "129-I"
  fzd["124-XE"]   = 541240000;   // fluka "124-XE"
  fzd["126-XE"]   = 541260000;   // fluka "126-XE"
  fzd["128-XE"]   = 541280000;   // fluka "128-XE"
  fzd["130-XE"]   = 541300000;   // fluka "130-XE"
  fzd["131-XE"]   = 541310000;   // fluka "131-XE"
  fzd["132-XE"]   = 541320000;   // fluka "132-XE"
  fzd["134-XE"]   = 541340000;   // fluka "134-XE"
  fzd["135-XE"]   = 541350000;   // fluka "135-XE"
  fzd["136-XE"]   = 541360000;   // fluka "136-XE"
  fzd["135-CS"]   = 551350000;   // fluka "135-CS"
  fzd["137-CS"]   = 551370000;   // fluka "137-CS"
  fzd["230-TH"]   = 902300000;   // fluka "230-TH"
  fzd["232-TH"]   = 902320000;   // fluka "232-TH"
  fzd["233-U"]    = 922330000;   // fluka "233-U"
  fzd["234-U"]    = 922340000;   // fluka "234-U"
  fzd["235-U"]    = 922350000;   // fluka "235-U"
  fzd["238-U"]    = 922380000;   // fluka "238-U"

  return fzd;
}
pyne::nucname::name_zz_t pyne::nucname::fluka_zz = pyne::nucname::get_fluka_zz();


/*** Constructs zz to fluka dictionary **/
pyne::nucname::zzname_t pyne::nucname::get_zz_fluka()
{
  zzname_t zfd;
  for (name_zz_iter i = fluka_zz.begin(); i != fluka_zz.end(); i++)
  {
    zfd[i->second] = i->first;
  }
  return zfd;
}
pyne::nucname::zzname_t pyne::nucname::zz_fluka = pyne::nucname::get_zz_fluka();



/******************************************/
/*** Define useful elemental group sets ***/
/******************************************/

pyne::nucname::zz_group pyne::nucname::name_to_zz_group(pyne::nucname::name_group eg)
{
  zz_group zg;
  for (name_group_iter i = eg.begin(); i != eg.end(); i++)
    zg.insert(name_zz[*i]);
  return zg;
}

// Lanthanides
pyne::nucname::name_t pyne::nucname::LAN_array[15] = {"La", "Ce", "Pr", "Nd", 
  "Pm", "Sm", "Eu", "Gd", "Tb", "Dy", "Ho", "Er", "Tm", "Yb", "Lu"};
pyne::nucname::name_group pyne::nucname::LAN (pyne::nucname::LAN_array, 
                                              pyne::nucname::LAN_array+15);
pyne::nucname::zz_group pyne::nucname::lan = \
  pyne::nucname::name_to_zz_group(pyne::nucname::LAN);

// Actinides
pyne::nucname::name_t pyne::nucname::ACT_array[15] = {"Ac", "Th", "Pa", "U", 
  "Np", "Pu", "Am", "Cm", "Bk", "Cf", "Es", "Fm", "Md", "No", "Lr"};
pyne::nucname::name_group pyne::nucname::ACT (pyne::nucname::ACT_array, pyne::nucname::ACT_array+15);
pyne::nucname::zz_group pyne::nucname::act = pyne::nucname::name_to_zz_group(pyne::nucname::ACT);

// Transuarnics
pyne::nucname::name_t pyne::nucname::TRU_array[22] = {"Np", "Pu", "Am", "Cm", 
  "Bk", "Cf", "Es", "Fm", "Md", "No", "Lr", "Rf", "Db", "Sg", "Bh", "Hs", "Mt", 
  "Ds", "Rg", "Cn", "Fl", "Lv"};
pyne::nucname::name_group pyne::nucname::TRU (pyne::nucname::TRU_array, 
                                              pyne::nucname::TRU_array+22);
pyne::nucname::zz_group pyne::nucname::tru = \
  pyne::nucname::name_to_zz_group(pyne::nucname::TRU);

//Minor Actinides
pyne::nucname::name_t pyne::nucname::MA_array[10] = {"Np", "Am", "Cm", "Bk", 
  "Cf", "Es", "Fm", "Md", "No", "Lr"};
pyne::nucname::name_group pyne::nucname::MA (pyne::nucname::MA_array, 
                                             pyne::nucname::MA_array+10);
pyne::nucname::zz_group pyne::nucname::ma = \
  pyne::nucname::name_to_zz_group(pyne::nucname::MA);

//Fission Products
pyne::nucname::name_t pyne::nucname::FP_array[88] = {"Ag", "Al", "Ar", "As", 
  "At", "Au", "B",  "Ba", "Be", "Bi", "Br", "C",  "Ca", "Cd", "Ce", "Cl", "Co",
  "Cr", "Cs", "Cu", "Dy", "Er", "Eu", "F",  "Fe", "Fr", "Ga", "Gd", "Ge", "H",  
  "He", "Hf", "Hg", "Ho", "I",  "In", "Ir", "K",  "Kr", "La", "Li", "Lu", "Mg", 
  "Mn", "Mo", "N",  "Na", "Nb", "Nd", "Ne", "Ni", "O",  "Os", "P",  "Pb", "Pd", 
  "Pm", "Po", "Pr", "Pt", "Ra", "Rb", "Re", "Rh", "Rn", "Ru", "S",  "Sb", "Sc", 
  "Se", "Si", "Sm", "Sn", "Sr", "Ta", "Tb", "Tc", "Te", "Ti", "Tl", "Tm", "V",  
  "W",  "Xe", "Y",  "Yb", "Zn", "Zr"};
pyne::nucname::name_group pyne::nucname::FP (pyne::nucname::FP_array, 
                                             pyne::nucname::FP_array+88);
pyne::nucname::zz_group pyne::nucname::fp = \
  pyne::nucname::name_to_zz_group(pyne::nucname::FP);


/***************************/
/*** isnuclide functions ***/
/***************************/

bool pyne::nucname::isnuclide(std::string nuc) {
  int n;
  try {
    n = id(nuc);
  }
  catch(NotANuclide) {
    return false;
  }
  catch(IndeterminateNuclideForm) {
    return false;
  }
  return isnuclide(n);
}

bool pyne::nucname::isnuclide(const char * nuc) {
  return isnuclide(std::string(nuc));
}

bool pyne::nucname::isnuclide(int nuc) {
  int n;
  try {
    n = id(nuc);
  }
  catch(NotANuclide) {
    return false;
  }
  catch(IndeterminateNuclideForm) {
    return false;
  }
  if (n <= 10000000)
    return false;
  int zzz = n / 10000000;
  int aaa = (n % 10000000) / 10000;
  if (aaa == 0)
    return false;  // is element
  else if (aaa < zzz)
    return false;
  return true;
}



/********************/
/*** id functions ***/
/********************/
int pyne::nucname::id(int nuc) {
  if (nuc < 0)
    throw NotANuclide(nuc, "");

  int newnuc;
  int zzz = nuc / 10000000;     // ZZZ ?
  int aaassss = nuc % 10000000; // AAA-SSSS ?
  int aaa = aaassss / 10000;    // AAA ?
  int ssss = aaassss % 10000;   // SSSS ?
  // Nuclide must already be in id form
  if (0 < zzz && zzz <= aaa && aaa <= zzz * 7) {
    // Normal nuclide
    if (5 < ssss){
    // Unphysical metastable state warning 
     warning("You have indicated a metastable state of " + pyne::to_str(ssss) + ". Metastable state above 5, possibly unphysical. ");
    }
    return nuc;
  } else if (aaassss == 0 && 0 < zz_name.count(zzz)) {
    // Natural elemental nuclide:  ie for Uranium = 920000000
    return nuc;
  } else if (nuc < 1000 && 0 < zz_name.count(nuc))
    //  Gave Z-number
    return nuc * 10000000;

  // Not in id form, try  ZZZAAAM form.
  zzz = nuc / 10000;     // ZZZ ?
  aaassss = nuc % 10000; // AAA-SSSS ?
  aaa = aaassss / 10;    // AAA ?
  ssss = nuc % 10;       // SSSS ?          
  if (zzz <= aaa && aaa <= zzz * 7) {
    // ZZZAAAM nuclide
    if (5 < ssss){
    // Unphysical metastable state warning
      warning("You have indicated a metastable state of " + pyne::to_str(ssss) + ". Metastable state above 5, possibly unphysical. ");
    }
    return (zzz*10000000) + (aaa*10000) + (nuc%10);
  } else if (aaa <= zzz && zzz <= aaa * 7 && 0 < zz_name.count(aaa)) {
    // Cinder-form (aaazzzm), ie 2350920
    if (5 < ssss){
    // Unphysical metastable state warning
      warning("You have indicated a metastable state of " + pyne::to_str(ssss) + ". Metastable state above 5, possibly unphysical. ");
    }
    return (aaa*10000000) + (zzz*10000) + (nuc%10);
  }
  //else if (aaassss == 0 && 0 == zz_name.count(nuc/1000) && 0 < zz_name.count(zzz))
  else if (aaassss == 0 && 0 < zz_name.count(zzz)) {
    // zzaaam form natural nuclide
    return zzz * 10000000;
  }

  if (nuc >= 1000000){
    // From now we assume no metastable info has been given.
    throw IndeterminateNuclideForm(nuc, "");
  }

  // Nuclide is not in zzaaam form, 
  // Try MCNP form, ie zzaaa
  // This is the same form as SZA for the 0th state.
  zzz = nuc / 1000;
  aaa = nuc % 1000; 
  if (zzz <= aaa) {
    if (aaa - 400 < 0) {
      if (nuc == 95242)
        return nuc * 10000 + 1;  // special case MCNP Am-242m
      else
        return nuc * 10000;  // Nuclide in normal MCNP form
    } else {
      // Nuclide in MCNP metastable form
      if (nuc == 95642)
        return (95642 - 400)*10000;  // special case MCNP Am-242
      nuc = ((nuc - 400) * 10000) + 1;
      while (3.0 < (float ((nuc/10000)%1000) / float (nuc/10000000)))
        nuc -= 999999;
      return nuc;
    }
  } else if (aaa == 0 && 0 < zz_name.count(zzz)) {
    // MCNP form natural nuclide
    return zzz * 10000000;
  }

  // Not a normal nuclide, might be a 
  // Natural elemental nuclide.  
  // ie 92 for Uranium = 920000
  if (0 < zz_name.count(nuc))
    return nuc * 10000000;
  throw IndeterminateNuclideForm(nuc, "");
}

int pyne::nucname::id(const char * nuc) {
  std::string newnuc (nuc);
  return id(newnuc);
}

int pyne::nucname::id(std::string nuc) {
  size_t npos = std::string::npos;
  if (nuc.empty())
    throw NotANuclide(nuc, "<empty>");
  int newnuc;
  std::string elem_name;
  int dash1 = nuc.find("-"); 
  int dash2;
  if (dash1 == npos)
    dash2 = npos;
  else
    dash2 = nuc.find("-", dash1+1);
  
  // nuc must be at least 4 characters or greater if it is in ZZLLAAAM form.
  if (nuc.length() >= 5 && dash1 != npos && dash2 != npos) {
    // Nuclide most likely in ZZLLAAAM Form, only form that contains two "-"'s.
    std::string zz = nuc.substr(0, dash1);
    std::string ll = nuc.substr(dash1+1, dash2);
    int zz_int = to_int(zz);
    // Verifying that the LL and ZZ point to the same element as secondary
    if(znum(ll) != zz_int)
      throw NotANuclide(nuc, "mismatched znum and chemical symbol");
    return zzllaaam_to_id(nuc);
  }

  // Get the string into a regular form
  std::string nucstr = pyne::to_upper(nuc);
  nucstr = pyne::remove_substring(nucstr, "-");
  int nuclen = nucstr.length();

  if (pyne::contains_substring(pyne::digits, nucstr.substr(0, 1))) {
    if (pyne::contains_substring(pyne::digits, nucstr.substr(nuclen-1, nuclen))) {
      // Nuclide must actually be an integer that 
      // just happens to be living in string form.
      newnuc = pyne::to_int(nucstr);
      newnuc = id(newnuc);
    } else {
      // probably in NIST-like form (242Am)
      // Here we know we have both digits and letters
      std::string anum_str = pyne::remove_characters(nucstr, pyne::alphabet);
      newnuc = pyne::to_int(anum_str) * 10000;

      // Add the Z-number
      elem_name = pyne::remove_characters(nucstr, pyne::digits);
      elem_name = pyne::capitalize(elem_name);
      if (0 < name_zz.count(elem_name))
        newnuc = (10000000 * name_zz[elem_name]) + newnuc;
      else
        throw NotANuclide(nucstr, newnuc);
    }
  } else if (pyne::contains_substring(pyne::alphabet, nucstr.substr(0, 1))) {
    // Nuclide is probably in name form, or some variation therein
    std::string anum_str = pyne::remove_characters(nucstr, pyne::alphabet);

    // natural element form, a la 'U' -> 920000000
    if (anum_str.empty()) {
      elem_name = pyne::capitalize(nucstr);    
      if (0 < name_zz.count(elem_name))
        return 10000000 * name_zz[elem_name]; 
    }

    int anum = pyne::to_int(anum_str);

    // bad form
    if (anum < 0)
      throw NotANuclide(nucstr, anum); 

    // Figure out if we are meta-stable or not
    std::string end_char = pyne::last_char(nucstr);
    if (end_char == "M")
      newnuc = (10000 * anum) + 1;
    else if (pyne::contains_substring(pyne::digits, end_char))
      newnuc = (10000 * anum);
    else
      throw NotANuclide(nucstr, newnuc);

    // Add the Z-number
    elem_name = pyne::remove_characters(nucstr.substr(0, nuclen-1), pyne::digits);
    elem_name = pyne::capitalize(elem_name);
    if (0 < name_zz.count(elem_name))
      newnuc = (10000000 * name_zz[elem_name]) + newnuc;
    else
      throw NotANuclide(nucstr, newnuc);
  } else {
    // Clearly not a nuclide
    throw NotANuclide(nuc, nucstr);
  }
  return newnuc;  
}


/***************************/
/*** iselement functions ***/
/***************************/

bool pyne::nucname::iselement(std::string nuc) {
  int n;
  try {
    n = id(nuc);
  }
  catch(NotANuclide) {
    return false;
  }
  return iselement(n);
}

bool pyne::nucname::iselement(const char * nuc) {
  return iselement(std::string(nuc));
}

bool pyne::nucname::iselement(int nuc) {
  int n;
  try {
    n = id(nuc);
  }
  catch(NotANuclide) {
    return false;
  }
 
  if (n < 10000000)
    return false;
  int zzz = znum(n);
  int aaa = anum(n);
  if (zzz > 0 && aaa == 0)
    return true;  // is element
  return false;
}

/**********************/
/*** name functions ***/
/**********************/
std::string pyne::nucname::name(int nuc) {
  int nucid = id(nuc);
  std::string newnuc = "";

  int zzz = nucid / 10000000;
  int ssss = nucid % 10000;
  int aaassss = nucid % 10000000;
  int aaa = aaassss / 10000;

  // Make sure the LL value is correct
  if (0 == zz_name.count(zzz))
    throw NotANuclide(nuc, nucid);

  // Add LL
  newnuc += zz_name[zzz];

  // Add A-number
  if (0 < aaa)
    newnuc += pyne::to_str(aaa);

  // Add meta-stable flag
  if (0 < ssss)
    newnuc += "M";

  return newnuc;
}



std::string pyne::nucname::name(const char * nuc) {
  std::string newnuc (nuc);
  return name(newnuc);
}


std::string pyne::nucname::name(std::string nuc) {
  return name(id(nuc));
}


/**********************/
/*** znum functions ***/
/**********************/
int pyne::nucname::znum(int nuc) {
  return id(nuc) / 10000000;
}

int pyne::nucname::znum(const char * nuc) {
  return id(nuc) / 10000000;
}

int pyne::nucname::znum(std::string nuc) {
  return id(nuc) / 10000000;
}

/**********************/
/*** anum functions ***/
/**********************/
int pyne::nucname::anum(int nuc) {
  return (id(nuc) / 10000) % 1000;
}

int pyne::nucname::anum(const char * nuc) {
  return (id(nuc) / 10000) % 1000;
}

int pyne::nucname::anum(std::string nuc) {
  return (id(nuc) / 10000) % 1000;
}

/**********************/
/*** snum functions ***/
/**********************/
int pyne::nucname::snum(int nuc) {
  return id(nuc) % 10000;
}

int pyne::nucname::snum(const char * nuc) {
  return id(nuc) % 10000;
}

int pyne::nucname::snum(std::string nuc) {
  return id(nuc) % 10000;
}

/************************/
/*** zzaaam functions ***/
/************************/
int pyne::nucname::zzaaam(int nuc) {
  int nucid = id(nuc);
  int zzzaaa = nucid / 10000;
  int ssss = nucid % 10000;
  if (10 <= ssss)
    ssss = 9;
  return zzzaaa*10 + ssss;
}


int pyne::nucname::zzaaam(const char * nuc) {
  std::string newnuc (nuc);
  return zzaaam(newnuc);
}


int pyne::nucname::zzaaam(std::string nuc) {
  return zzaaam(id(nuc));
}


int pyne::nucname::zzaaam_to_id(int nuc) {
  return (nuc/10)*10000 + (nuc%10);
}


int pyne::nucname::zzaaam_to_id(const char * nuc) {
  return zzaaam_to_id(std::string(nuc));
}


int pyne::nucname::zzaaam_to_id(std::string nuc) {
  return zzaaam_to_id(pyne::to_int(nuc));
}

/************************/
/*** zzzaaa functions ***/
/************************/
int pyne::nucname::zzzaaa(int nuc) {
  int nucid = id(nuc);
  int zzzaaa = nucid/10000;

  return zzzaaa;
}


int pyne::nucname::zzzaaa(const char * nuc) {
  std::string newnuc (nuc);
  return zzzaaa(newnuc);
}


int pyne::nucname::zzzaaa(std::string nuc) {
  return zzzaaa(id(nuc));
}


int pyne::nucname::zzzaaa_to_id(int nuc) {
  return (nuc)*10000;
}


int pyne::nucname::zzzaaa_to_id(const char * nuc) {
  return zzzaaa_to_id(std::string(nuc));
}


int pyne::nucname::zzzaaa_to_id(std::string nuc) {
  return zzzaaa_to_id(pyne::to_int(nuc));
}

/*************************/
/*** zzllaaam functions ***/
/*************************/
std::string pyne::nucname::zzllaaam(int nuc) {
  int nucid = id(nuc);
  std::string newnuc = "";

  int ssss = nucid % 10000;
  int aaassss = nucid % 10000000;
  int zzz = nucid / 10000000;
  int aaa = aaassss / 10000;

  // Make sure the LL value is correct
  if (0 == zz_name.count(zzz))
    throw NotANuclide(nuc, nucid);
  //Adding ZZ
  newnuc += pyne::to_str(zzz);
  newnuc += "-";
  // Add LL
  newnuc += zz_name[zzz];
  // Add required dash
  newnuc += "-";
  // Add AAA
  if (0 < aaassss)
    newnuc += pyne::to_str(aaa);
  // Add meta-stable flag
  if (0 < ssss)
    newnuc += "m";
  return newnuc;
}


std::string pyne::nucname::zzllaaam(const char * nuc) {
  std::string newnuc (nuc);
  return zzllaaam(newnuc);
}


std::string pyne::nucname::zzllaaam(std::string nuc) {
  return zzllaaam(id(nuc));
}


int pyne::nucname::zzllaaam_to_id(const char * nuc) {
  return zzllaaam_to_id(std::string(nuc));
}


int pyne::nucname::zzllaaam_to_id(std::string nuc) {
  if (nuc.empty())
    throw NotANuclide(nuc, "<empty>");
  int nucid;
  std::string elem_name;

  // Get the string into a regular form
  std::string nucstr = pyne::to_upper(nuc);
  // Removing first two characters (redundant), for 1 digit nuclides, such
  // as 2-He-4, the first slash will be removed, and the second attempt to
  // remove the second slash will do nothing.  
  nucstr.erase(0,2);
  nucstr = pyne::remove_substring(nucstr, "-");
  // Does nothing if nuclide is short, otherwise removes the second "-" instance
  nucstr = pyne::remove_substring(nucstr, "-");
  int nuclen = nucstr.length();

  // Nuclide is probably in name form, or some variation therein
  std::string anum_str = pyne::remove_characters(nucstr, pyne::alphabet);

  // natural element form, a la 'U' -> 920000000
  if (anum_str.empty() || pyne::contains_substring(nucstr, "NAT")) {
    elem_name = pyne::capitalize(pyne::remove_substring(nucstr, "NAT")); 
    if (0 < name_zz.count(elem_name))
      return 10000000 * name_zz[elem_name]; 
  }
  int anum = pyne::to_int(anum_str);

  // Figure out if we are meta-stable or not
  std::string end_char = pyne::last_char(nucstr);
  if (end_char == "M")
    nucid = (10000 * anum) + 1;
  else if (pyne::contains_substring(pyne::digits, end_char))
    nucid = (10000 * anum);
  else
    throw NotANuclide(nucstr, nucid);

  // Add the Z-number
  elem_name = pyne::remove_characters(nucstr.substr(0, nuclen-1), pyne::digits);
  elem_name = pyne::capitalize(elem_name);
  if (0 < name_zz.count(elem_name))
    nucid = (10000000 * name_zz[elem_name]) + nucid;
  else
    throw NotANuclide(nucstr, nucid);
  return nucid;
}

/**********************/
/*** mcnp functions ***/
/**********************/
int pyne::nucname::mcnp(int nuc) {
  nuc = id(nuc);
  int ssss = nuc % 10000;
  int newnuc = nuc / 10000;

  // special case Am242(m)
  if (newnuc == 95242 && ssss < 2)
    ssss = (ssss + 1) % 2;

  // Handle the crazy MCNP meta-stable format
  if (0 != ssss && ssss < 10) 
    newnuc += 300 + (ssss * 100);

  return newnuc;
}



int pyne::nucname::mcnp(const char * nuc) {
  std::string newnuc (nuc);
  return mcnp(newnuc);
}



int pyne::nucname::mcnp(std::string nuc) {
  return mcnp(id(nuc));
}

//
// MCNP -> id
//
int pyne::nucname::mcnp_to_id(int nuc) {
  int zzz = nuc / 1000;
  int aaa = nuc % 1000; 
  if (zzz == 0)
    throw NotANuclide(nuc, "not in the MCNP format");
  else if (zzz <= aaa) {
    if (aaa - 400 < 0) {
      if (nuc == 95242)
        return nuc * 10000 + 1;  // special case MCNP Am-242m
      else
        return nuc * 10000;  // Nuclide in normal MCNP form
    } else {
      // Nuclide in MCNP metastable form
      if (nuc == 95642)
        return (95642 - 400)*10000;  // special case MCNP Am-242
      nuc = ((nuc - 400) * 10000) + 1;
      while (3.0 < (float ((nuc/10000)%1000) / float (nuc/10000000)))
        nuc -= 999999;
      return nuc;
    }
  } else if (aaa == 0)
    // MCNP form natural nuclide
    return zzz * 10000000;
  throw IndeterminateNuclideForm(nuc, "");
}


int pyne::nucname::mcnp_to_id(const char * nuc) {
  return mcnp_to_id(std::string(nuc));
}


int pyne::nucname::mcnp_to_id(std::string nuc) {
  return mcnp_to_id(pyne::to_int(nuc));
}


/**********************/
/*** fluka functions ***/
/**********************/
std::string pyne::nucname::fluka(int nuc) {
  int x = id(nuc);
  if (zz_fluka.count(x) == 0) {
    throw NotANuclide(nuc, "fluka name could not be found");
  }
  return zz_fluka[x];
}


//
// FLUKA name -> id
//
int pyne::nucname::fluka_to_id(std::string name) {
  if (fluka_zz.count(name) == 0) {
    throw NotANuclide(-1, "No nuclide: fluka name could not be found");
  }
  return fluka_zz[name];
}

int pyne::nucname::fluka_to_id(char * name) {
  return fluka_to_id(std::string(name));
}


/*************************/
/*** serpent functions ***/
/*************************/
std::string pyne::nucname::serpent(int nuc) {
  int nucid = id(nuc);
  std::string newnuc = "";

  int ssss = nucid % 10000;
  int aaassss = nucid % 10000000;
  int zzz = nucid / 10000000;
  int aaa = aaassss / 10000;

  // Make sure the LL value is correct
  if (0 == zz_name.count(zzz))
    throw NotANuclide(nuc, nucid);

  // Add LL
  std::string llupper = pyne::to_upper(zz_name[zzz]);
  std::string lllower = pyne::to_lower(zz_name[zzz]);
  newnuc += llupper[0];
  for (int l = 1; l < lllower.size(); l++)
    newnuc += lllower[l];  

  // Add required dash
  newnuc += "-";

  // Add A-number
  if (0 < aaassss)
    newnuc += pyne::to_str(aaa);
  else if (0 == aaassss)
    newnuc += "nat";

  // Add meta-stable flag
  if (0 < ssss)
    newnuc += "m";

  return newnuc;
}


std::string pyne::nucname::serpent(const char * nuc) {
  std::string newnuc (nuc);
  return serpent(newnuc);
}


std::string pyne::nucname::serpent(std::string nuc) {
  return serpent(id(nuc));
}

//
// Serpent -> id
//
//int pyne::nucname::serpent_to_id(int nuc)
//{
// Should be ZAID
//}


int pyne::nucname::serpent_to_id(const char * nuc) {
  return serpent_to_id(std::string(nuc));
}


int pyne::nucname::serpent_to_id(std::string nuc) {
  if (nuc.empty())
    throw NotANuclide(nuc, "<empty>");
  int nucid;
  std::string elem_name;

  // Get the string into a regular form
  std::string nucstr = pyne::to_upper(nuc);
  nucstr = pyne::remove_substring(nucstr, "-");
  int nuclen = nucstr.length();

  // Nuclide is probably in name form, or some variation therein
  std::string anum_str = pyne::remove_characters(nucstr, pyne::alphabet);

  // natural element form, a la 'U' -> 920000000
  if (anum_str.empty() || pyne::contains_substring(nucstr, "NAT")) {
    elem_name = pyne::capitalize(pyne::remove_substring(nucstr, "NAT")); 
    if (0 < name_zz.count(elem_name))
      return 10000000 * name_zz[elem_name]; 
  }
  int anum = pyne::to_int(anum_str);

  // Figure out if we are meta-stable or not
  std::string end_char = pyne::last_char(nucstr);
  if (end_char == "M")
    nucid = (10000 * anum) + 1;
  else if (pyne::contains_substring(pyne::digits, end_char))
    nucid = (10000 * anum);
  else
    throw NotANuclide(nucstr, nucid);

  // Add the Z-number
  elem_name = pyne::remove_characters(nucstr.substr(0, nuclen-1), pyne::digits);
  elem_name = pyne::capitalize(elem_name);
  if (0 < name_zz.count(elem_name))
    nucid = (10000000 * name_zz[elem_name]) + nucid;
  else
    throw NotANuclide(nucstr, nucid);
  return nucid;
}


/**********************/
/*** nist functions ***/
/**********************/
std::string pyne::nucname::nist(int nuc) {
  int nucid = id(nuc);
  std::string newnuc = "";

  int zzz = nucid / 10000000;
  int ssss = nucid % 10000;
  int aaassss = nucid % 10000000;
  int aaa = aaassss / 10000;

  // Make sure the LL value is correct
  if (0 == zz_name.count(zzz))
    throw NotANuclide(nuc, nucid);

  // Add A-number
  if (0 < aaassss)
    newnuc += pyne::to_str(aaa);

  // Add name
  std::string name_upper = pyne::to_upper(zz_name[zzz]);
  std::string name_lower = pyne::to_lower(zz_name[zzz]);
  newnuc += name_upper[0];
  for (int l = 1; l < name_lower.size(); l++)
    newnuc += name_lower[l];  

  // Add meta-stable flag
  // No metastable flag for NIST, 
  // but could add star, by uncommenting below
  //if (0 < mod_10)
  //  newnuc += "*";

  return newnuc;
}


std::string pyne::nucname::nist(const char * nuc) {
  std::string newnuc (nuc);
  return nist(newnuc);
}


std::string pyne::nucname::nist(std::string nuc) {
  return nist(id(nuc));
}


//
// NIST -> id
//
//int pyne::nucname::nist_to_id(int nuc)
//{
// NON-EXISTANT
//};

int pyne::nucname::nist_to_id(const char * nuc) {
  return nist_to_id(std::string(nuc));
}

int pyne::nucname::nist_to_id(std::string nuc) {
  if (nuc.empty())
    throw NotANuclide(nuc, "<empty>");
  int nucid;
  nuc = pyne::to_upper(nuc);
  std::string elem_name;
  int nuclen = nuc.length();

  // Nuclide is probably in name form, or some variation therein
  std::string anum_str = pyne::remove_characters(nuc, pyne::alphabet);

  // natural element form, a la 'U' -> 920000000
  if (anum_str.empty()) {
    elem_name = pyne::capitalize(nuc);
    if (0 < name_zz.count(elem_name))
      return 10000000 * name_zz[elem_name]; 
  }
  nucid = pyne::to_int(anum_str) * 10000;

  // Add the Z-number
  elem_name = pyne::remove_characters(nuc, pyne::digits);
  elem_name = pyne::capitalize(elem_name);
  if (0 < name_zz.count(elem_name))
    nucid = (10000000 * name_zz[elem_name]) + nucid;
  else
    throw NotANuclide(nuc, nucid);
  return nucid;
}


/************************/
/*** cinder functions ***/
/************************/
int pyne::nucname::cinder(int nuc) {
  // cinder nuclides of form aaazzzm
  int nucid = id(nuc);
  int zzz = nucid / 10000000;
  int ssss = nucid % 10000;
  int aaassss = nucid % 10000000;
  int aaa = aaassss / 10000;
  if (10 <= ssss)
    ssss = 9;
  return (aaa*10000) + (zzz*10) + ssss;
}



int pyne::nucname::cinder(const char * nuc) {
  std::string newnuc (nuc);
  return cinder(newnuc);
}



int pyne::nucname::cinder(std::string nuc) {
  return cinder(id(nuc));
}

//
// Cinder -> Id
//
int pyne::nucname::cinder_to_id(int nuc) {
  int ssss = nuc % 10;
  int aaazzz = nuc / 10;
  int zzz = aaazzz % 1000;
  int aaa = aaazzz / 1000;
  return (zzz * 10000000) + (aaa * 10000) + ssss;
}


int pyne::nucname::cinder_to_id(const char * nuc) {
  return cinder_to_id(std::string(nuc));
}


int pyne::nucname::cinder_to_id(std::string nuc) {
  return cinder_to_id(pyne::to_int(nuc));
}




/**********************/
/*** ALARA functions ***/
/**********************/
std::string pyne::nucname::alara(int nuc) {
  int nucid = id(nuc);
  std::string newnuc = "";
  std::string ll = "";

  int zzz = nucid / 10000000;
  int ssss = nucid % 10000;
  int aaassss = nucid % 10000000;
  int aaa = aaassss / 10000;

  // Make sure the LL value is correct
  if (0 == zz_name.count(zzz))
    throw NotANuclide(nuc, nucid);

  // Add LL, in lower case
  ll += zz_name[zzz];

  for(int i = 0; ll[i] != '\0'; i++)
    ll[i] = tolower(ll[i]);
  newnuc += ll;

  // Add A-number
  if (0 < aaassss){
    newnuc += ":";
    newnuc += pyne::to_str(aaa);
  }

  // Note, ALARA input format does not use metastable flag
  return newnuc;
}


std::string pyne::nucname::alara(const char * nuc) {
  std::string newnuc (nuc);
  return alara(newnuc);
}


std::string pyne::nucname::alara(std::string nuc) {
  return alara(id(nuc));
}


//
// Cinder -> Id
//
//int pyne::nucname::alara_to_id(int nuc)
//{
// Not Possible
//}


int pyne::nucname::alara_to_id(const char * nuc) {
  return alara_to_id(std::string(nuc));
}


int pyne::nucname::alara_to_id(std::string nuc) {
  if (nuc.empty())
    throw NotANuclide(nuc, "<empty>");
  int nucid;
  nuc = pyne::to_upper(pyne::remove_characters(nuc, ":"));
  std::string elem_name;
  int nuclen = nuc.length();

  // Nuclide is probably in name form, or some variation therein
  std::string anum_str = pyne::remove_characters(nuc, pyne::alphabet);

  // natural element form, a la 'U' -> 920000000
  if (anum_str.empty()) {
    elem_name = pyne::capitalize(nuc);
    if (0 < name_zz.count(elem_name))
      return 10000000 * name_zz[elem_name]; 
  }
  nucid = pyne::to_int(anum_str) * 10000;

  // Add the Z-number
  elem_name = pyne::remove_characters(nuc, pyne::digits);
  elem_name = pyne::capitalize(elem_name);
  if (0 < name_zz.count(elem_name))
    nucid = (10000000 * name_zz[elem_name]) + nucid;
  else
    throw NotANuclide(nuc, nucid);
  return nucid;
}




/***********************/
/***  SZA functions  ***/
/***********************/
int pyne::nucname::sza(int nuc) {
  int nucid = id(nuc);
  int zzzaaa = nucid / 10000;
  int sss = nucid % 10000;
  return sss * 1000000 + zzzaaa;
}


int pyne::nucname::sza(const char * nuc) {
  std::string newnuc (nuc);
  return sza(newnuc);
}


int pyne::nucname::sza(std::string nuc) {
  return sza(id(nuc));
}


int pyne::nucname::sza_to_id(int nuc) {
  int sss = nuc / 1000000;
  int zzzaaa = nuc % 1000000;
  if (5 < sss){
  // Unphysical metastable state warning 
   warning("You have indicated a metastable state of " + pyne::to_str(sss) + ". Metastable state above 5, possibly unphysical. ");
  }
  return zzzaaa * 10000 + sss;
}


int pyne::nucname::sza_to_id(const char * nuc) {
  std::string newnuc (nuc);
  return sza_to_id(newnuc);
}


int pyne::nucname::sza_to_id(std::string nuc) {
  return sza_to_id(pyne::to_int(nuc));
}


void pyne::nucname::_load_state_map(){
    for (int i = 0; i < TOTAL_STATE_MAPS; ++i) {
       state_id_map[map_nuc_ids[i]] = map_metastable[i];
    }
}

int pyne::nucname::state_id_to_id(int state) {
    int zzzaaa = (state / 10000) * 10000;
    int state_number = state % 10000;
    if (state_number == 0) return state;
    std::map<int, int>::iterator nuc_iter, nuc_end;

    nuc_iter = state_id_map.find(state);
    nuc_end = state_id_map.end();
    if (nuc_iter != nuc_end){ 
     int m = (*nuc_iter).second;
     return zzzaaa + m;
    }        

    if (state_id_map.empty())  {
      _load_state_map();
      return state_id_to_id(state);
    }
    throw IndeterminateNuclideForm(state, "no matching metastable state");
}


int pyne::nucname::id_to_state_id(int nuc_id) {
    int zzzaaa = (nuc_id / 10000) * 10000;
    int state = nuc_id % 10000;
    if (state == 0) return nuc_id;
    std::map<int, int>::iterator nuc_iter, nuc_end, it;
    
    nuc_iter = state_id_map.lower_bound(nuc_id);
    nuc_end = state_id_map.upper_bound(nuc_id + 10000);
    for (it = nuc_iter; it!= nuc_end; ++it){
        if (state == it->second) {
          return it->first;
        }
    }
    int m = (*nuc_iter).second;
    
    if (state_id_map.empty())  {
      _load_state_map();
      return id_to_state_id(nuc_id);
    }
    throw IndeterminateNuclideForm(state, "no matching state id");
}


/************************/
/*** ENSDF functions ***/
/************************/
//
// ENSDF  -> Id
//

int pyne::nucname::ensdf_to_id(const char * nuc) {
  return ensdf_to_id(std::string(nuc));
}

int pyne::nucname::ensdf_to_id(std::string nuc) {
  if (nuc.size() < 4) {
    return nucname::id(nuc);
  } else if (std::isdigit(nuc[3])) {
    int aaa = to_int(nuc.substr(0, 3));
    int zzz;
    std::string xx_str = nuc.substr(3,2); 
    zzz = to_int(xx_str) + 100;
    int nid = 10000 * aaa + 10000000 * zzz;
    return nid;
  } else {
    return nucname::id(nuc);
  }
  
}

//
// end of src/nucname.cpp
//


//
// start of src/rxname.cpp
//
#ifndef PYNE_IS_AMALGAMATED
#include "rxname.h"
#endif

std::string pyne::rxname::_names[NUM_RX_NAMES] = {
  "total",
  "scattering",
  "elastic",
  "nonelastic",
  "n",
  "misc",
  "continuum",
  "z_2nd",
  "z_2n",
  "z_2n_0",
  "z_2n_1",
  "z_2n_2",
  "z_3n",
  "z_3n_0",
  "z_3n_1",
  "z_3n_2",
  "fission",
  "fission_first",
  "fission_second",
  "fission_third",
  "na",
  "na_0",
  "na_1",
  "na_2",
  "n3a",
  "z_2na",
  "z_3na",
  "absorption",
  "np",
  "np_0",
  "np_1",
  "np_2",
  "npd",
  "n2a",
  "z_2n2a",
  "nd",
  "nd_0",
  "nd_1",
  "nd_2",
  "nt",
  "nt_0",
  "nt_1",
  "nt_2",
  "nHe3",
  "nHe3_0",
  "nHe3_1",
  "nHe3_2",
  "nd3a",
  "nt2a",
  "z_4n",
  "z_4n_0",
  "z_4n_1",
  "fission_fourth",
  "z_2np",
  "z_3np",
  "n2p",
  "npa",
  "n_0",
  "n_1",
  "n_2",
  "n_3",
  "n_4",
  "n_5",
  "n_6",
  "n_7",
  "n_8",
  "n_9",
  "n_10",
  "n_11",
  "n_12",
  "n_13",
  "n_14",
  "n_15",
  "n_16",
  "n_17",
  "n_18",
  "n_19",
  "n_20",
  "n_21",
  "n_22",
  "n_23",
  "n_24",
  "n_25",
  "n_26",
  "n_27",
  "n_28",
  "n_29",
  "n_30",
  "n_31",
  "n_32",
  "n_33",
  "n_34",
  "n_35",
  "n_36",
  "n_37",
  "n_38",
  "n_39",
  "n_40",
  "n_continuum",
  "disappearance",
  "gamma",
  "gamma_0",
  "gamma_1",
  "gamma_2",
  "p",
  "d",
  "t",
  "He3",
  "a",
  "z_2a",
  "z_3a",
  "z_2p",
  "z_2p_0",
  "z_2p_1",
  "z_2p_2",
  "pa",
  "t2a",
  "d2a",
  "pd",
  "pt",
  "da",
  "resonance_parameters",
  "n_total",
  "gamma_total",
  "p_total",
  "d_total",
  "t_total",
  "He3_total",
  "a_total",
  "pionp",
  "pion0",
  "pionm",
  "muonp",
  "muonm",
  "kaonp",
  "kaon0_long",
  "kaon0_short",
  "kaonm",
  "antip",
  "antin",
  "mubar",
  "epsilon",
  "y",
  "erel_total",
  "erel_elastic",
  "erel_nonelastic",
  "erel_n",
  "erel_misc",
  "erel_continuum",
  "erel_2nd",
  "erel_2n",
  "erel_3n",
  "erel_fission",
  "erel_fission_first",
  "erel_fission_second",
  "erel_fission_third",
  "erel_na",
  "erel_n3a",
  "erel_2na",
  "erel_3na",
  "erel_absorption",
  "erel_np",
  "erel_n2a",
  "erel_2n2a",
  "erel_nd",
  "erel_nt",
  "erel_nHe3",
  "erel_nd3a",
  "erel_nt2a",
  "erel_4n",
  "erel_fission_fourth",
  "erel_2np",
  "erel_3np",
  "erel_n2p",
  "erel_npa",
  "erel_n_0",
  "erel_n_1",
  "erel_n_2",
  "erel_n_3",
  "erel_n_4",
  "erel_n_5",
  "erel_n_6",
  "erel_n_7",
  "erel_n_8",
  "erel_n_9",
  "erel_n_10",
  "erel_n_11",
  "erel_n_12",
  "erel_n_13",
  "erel_n_14",
  "erel_n_15",
  "erel_n_16",
  "erel_n_17",
  "erel_n_18",
  "erel_n_19",
  "erel_n_20",
  "erel_n_21",
  "erel_n_22",
  "erel_n_23",
  "erel_n_24",
  "erel_n_25",
  "erel_n_26",
  "erel_n_27",
  "erel_n_28",
  "erel_n_29",
  "erel_n_30",
  "erel_n_31",
  "erel_n_32",
  "erel_n_33",
  "erel_n_34",
  "erel_n_35",
  "erel_n_36",
  "erel_n_37",
  "erel_n_38",
  "erel_n_39",
  "erel_n_40",
  "erel_n_continuum",
  "erel_disappearance",
  "erel_gamma",
  "erel_p",
  "erel_d",
  "erel_t",
  "erel_He3",
  "erel_a",
  "erel_2a",
  "erel_3a",
  "erel_2p",
  "erel_pa",
  "erel_t2a",
  "erel_d2a",
  "erel_pd",
  "erel_pt",
  "erel_da",
  "damage",
  "heading",
  "nubar",
  "fission_product_yield_independent",
  "nubar_delayed",
  "nubar_prompt",
  "decay",
  "energy_per_fission",
  "fission_product_yield_cumulative",
  "gamma_delayed",
  "stopping_power",
  "photon_total",
  "photon_coherent",
  "photon_incoherent",
  "scattering_factor_imag",
  "scattering_factor_real",
  "pair_prod_elec",
  "pair_prod",
  "pair_prod_nuc",
  "absorption_photoelectric",
  "photoexcitation",
  "scattering_electroatomic",
  "bremsstrahlung",
  "excitation_electroatomic",
  "atomic_relaxation",
  "k_photoelectric",
  "l1_photoelectric",
  "l2_photoelectric",
  "l3_photoelectric",
  "m1_photoelectric",
  "m2_photoelectric",
  "m3_photoelectric",
  "m4_photoelectric",
  "m5_photoelectric",
  "n1_photoelectric",
  "n2_photoelectric",
  "n3_photoelectric",
  "n4_photoelectric",
  "n5_photoelectric",
  "n6_photoelectric",
  "n7_photoelectric",
  "o1_photoelectric",
  "o2_photoelectric",
  "o3_photoelectric",
  "o4_photoelectric",
  "o5_photoelectric",
  "o6_photoelectric",
  "o7_photoelectric",
  "o8_photoelectric",
  "o9_photoelectric",
  "p1_photoelectric",
  "p2_photoelectric",
  "p3_photoelectric",
  "p4_photoelectric",
  "p5_photoelectric",
  "p6_photoelectric",
  "p7_photoelectric",
  "p8_photoelectric",
  "p9_photoelectric",
  "p10_photoelectric",
  "p11_photoelectric",
  "q1_photoelectric",
  "q2_photoelectric",
  "q3_photoelectric",
  "p_0",
  "p_1",
  "p_2",
  "p_3",
  "p_4",
  "p_5",
  "p_6",
  "p_7",
  "p_8",
  "p_9",
  "p_10",
  "p_11",
  "p_12",
  "p_13",
  "p_14",
  "p_15",
  "p_16",
  "p_17",
  "p_18",
  "p_19",
  "p_20",
  "p_21",
  "p_22",
  "p_23",
  "p_24",
  "p_25",
  "p_26",
  "p_27",
  "p_28",
  "p_29",
  "p_30",
  "p_31",
  "p_32",
  "p_33",
  "p_34",
  "p_35",
  "p_36",
  "p_37",
  "p_38",
  "p_39",
  "p_40",
  "p_41",
  "p_42",
  "p_43",
  "p_44",
  "p_45",
  "p_46",
  "p_47",
  "p_48",
  "p_continuum",
  "d_0",
  "d_1",
  "d_2",
  "d_3",
  "d_4",
  "d_5",
  "d_6",
  "d_7",
  "d_8",
  "d_9",
  "d_10",
  "d_11",
  "d_12",
  "d_13",
  "d_14",
  "d_15",
  "d_16",
  "d_17",
  "d_18",
  "d_19",
  "d_20",
  "d_21",
  "d_22",
  "d_23",
  "d_24",
  "d_25",
  "d_26",
  "d_27",
  "d_28",
  "d_29",
  "d_30",
  "d_31",
  "d_32",
  "d_33",
  "d_34",
  "d_35",
  "d_36",
  "d_37",
  "d_38",
  "d_39",
  "d_40",
  "d_41",
  "d_42",
  "d_43",
  "d_44",
  "d_45",
  "d_46",
  "d_47",
  "d_48",
  "d_continuum",
  "t_0",
  "t_1",
  "t_2",
  "t_3",
  "t_4",
  "t_5",
  "t_6",
  "t_7",
  "t_8",
  "t_9",
  "t_10",
  "t_11",
  "t_12",
  "t_13",
  "t_14",
  "t_15",
  "t_16",
  "t_17",
  "t_18",
  "t_19",
  "t_20",
  "t_21",
  "t_22",
  "t_23",
  "t_24",
  "t_25",
  "t_26",
  "t_27",
  "t_28",
  "t_29",
  "t_30",
  "t_31",
  "t_32",
  "t_33",
  "t_34",
  "t_35",
  "t_36",
  "t_37",
  "t_38",
  "t_39",
  "t_40",
  "t_41",
  "t_42",
  "t_43",
  "t_44",
  "t_45",
  "t_46",
  "t_47",
  "t_48",
  "t_continuum",
  "He3_0",
  "He3_1",
  "He3_2",
  "He3_3",
  "He3_4",
  "He3_5",
  "He3_6",
  "He3_7",
  "He3_8",
  "He3_9",
  "He3_10",
  "He3_11",
  "He3_12",
  "He3_13",
  "He3_14",
  "He3_15",
  "He3_16",
  "He3_17",
  "He3_18",
  "He3_19",
  "He3_20",
  "He3_21",
  "He3_22",
  "He3_23",
  "He3_24",
  "He3_25",
  "He3_26",
  "He3_27",
  "He3_28",
  "He3_29",
  "He3_30",
  "He3_31",
  "He3_32",
  "He3_33",
  "He3_34",
  "He3_35",
  "He3_36",
  "He3_37",
  "He3_38",
  "He3_39",
  "He3_40",
  "He3_41",
  "He3_42",
  "He3_43",
  "He3_44",
  "He3_45",
  "He3_46",
  "He3_47",
  "He3_48",
  "He3_continuum",
  "a_0",
  "a_1",
  "a_2",
  "a_3",
  "a_4",
  "a_5",
  "a_6",
  "a_7",
  "a_8",
  "a_9",
  "a_10",
  "a_11",
  "a_12",
  "a_13",
  "a_14",
  "a_15",
  "a_16",
  "a_17",
  "a_18",
  "a_19",
  "a_20",
  "a_21",
  "a_22",
  "a_23",
  "a_24",
  "a_25",
  "a_26",
  "a_27",
  "a_28",
  "a_29",
  "a_30",
  "a_31",
  "a_32",
  "a_33",
  "a_34",
  "a_35",
  "a_36",
  "a_37",
  "a_38",
  "a_39",
  "a_40",
  "a_41",
  "a_42",
  "a_43",
  "a_44",
  "a_45",
  "a_46",
  "a_47",
  "a_48",
  "a_continuum",
  "lumped_covar",
  "excited",
  "bminus",
  "bplus",
  "ec",
  "bminus_n",
  "bminus_a",
  "it",
  "bplus_a",
  "ec_bplus",
  "bplus_p",
  "bminus_2n",
  "bminus_3n",
  "bminus_4n",
  "ecp",
  "eca",
  "bplus_2p",
  "ec_2p",
  "decay_2bminus",
  "bminus_p",
  "decay_14c",
  "bplus_3p",
  "sf",
  "decay_2bplus",
  "decay_2ec"
  };
std::set<std::string> pyne::rxname::names(pyne::rxname::_names, 
                                          pyne::rxname::_names+NUM_RX_NAMES);


std::map<std::string, unsigned int> pyne::rxname::altnames;
std::map<unsigned int, std::string> pyne::rxname::id_name;
std::map<std::string, unsigned int> pyne::rxname::name_id;
std::map<unsigned int, unsigned int> pyne::rxname::id_mt;
std::map<unsigned int, unsigned int> pyne::rxname::mt_id;
std::map<unsigned int, std::string> pyne::rxname::labels;
std::map<unsigned int, std::string> pyne::rxname::docs;
std::map<std::pair<std::string, int>, unsigned int> pyne::rxname::offset_id;
std::map<std::pair<std::string, unsigned int>, int> pyne::rxname::id_offset;

void * pyne::rxname::_fill_maps() {
  using std::make_pair;
  std::string rx;
  unsigned int rxid;
  unsigned int _mts [NUM_RX_NAMES] = {
    1,
    0,
    2,
    3,
    4,
    5,
    10,
    11,
    16,
    0,
    0,
    0,
    17,
    0,
    0,
    0,
    18,
    19,
    20,
    21,
    22,
    0,
    0,
    0,
    23,
    24,
    25,
    27,
    28,
    0,
    0,
    0,
    0,
    29,
    30,
    32,
    0,
    0,
    0,
    33,
    0,
    0,
    0,
    34,
    0,
    0,
    0,
    35,
    36,
    37,
    0,
    0,
    38,
    41,
    42,
    44,
    45,
    50,
    51,
    52,
    53,
    54,
    55,
    56,
    57,
    58,
    59,
    60,
    61,
    62,
    63,
    64,
    65,
    66,
    67,
    68,
    69,
    70,
    71,
    72,
    73,
    74,
    75,
    76,
    77,
    78,
    79,
    80,
    81,
    82,
    83,
    84,
    85,
    86,
    87,
    88,
    89,
    90,
    91,
    101,
    102,
    0,
    0,
    0,
    103,
    104,
    105,
    106,
    107,
    108,
    109,
    111,
    0,
    0,
    0,
    112,
    113,
    114,
    115,
    116,
    117,
    151,
    201,
    202,
    203,
    204,
    205,
    206,
    207,
    208,
    209,
    210,
    211,
    212,
    213,
    214,
    215,
    216,
    217,
    218,
    251,
    252,
    253,
    301,
    302,
    303,
    304,
    305,
    310,
    311,
    316,
    317,
    318,
    319,
    320,
    321,
    322,
    323,
    324,
    325,
    327,
    328,
    329,
    330,
    332,
    333,
    334,
    335,
    336,
    337,
    338,
    341,
    342,
    344,
    345,
    350,
    351,
    352,
    353,
    354,
    355,
    356,
    357,
    358,
    359,
    360,
    361,
    362,
    363,
    364,
    365,
    366,
    367,
    368,
    369,
    370,
    371,
    372,
    373,
    374,
    375,
    376,
    377,
    378,
    379,
    380,
    381,
    382,
    383,
    384,
    385,
    386,
    387,
    388,
    389,
    390,
    391,
    401,
    402,
    403,
    404,
    405,
    406,
    407,
    408,
    409,
    411,
    412,
    413,
    414,
    415,
    416,
    417,
    444,
    451,
    452,
    454,
    455,
    456,
    457,
    458,
    459,
    460,
    500,
    501,
    502,
    504,
    505,
    506,
    515,
    516,
    517,
    522,
    523,
    526,
    527,
    528,
    533,
    534,
    535,
    536,
    537,
    538,
    539,
    540,
    541,
    542,
    543,
    544,
    545,
    546,
    547,
    548,
    549,
    550,
    551,
    552,
    553,
    554,
    555,
    556,
    557,
    558,
    559,
    560,
    561,
    562,
    563,
    564,
    565,
    566,
    567,
    568,
    569,
    570,
    571,
    572,
    600,
    601,
    602,
    603,
    604,
    605,
    606,
    607,
    608,
    609,
    610,
    611,
    612,
    613,
    614,
    615,
    616,
    617,
    618,
    619,
    620,
    621,
    622,
    623,
    624,
    625,
    626,
    627,
    628,
    629,
    630,
    631,
    632,
    633,
    634,
    635,
    636,
    637,
    638,
    639,
    640,
    641,
    642,
    643,
    644,
    645,
    646,
    647,
    648,
    649,
    650,
    651,
    652,
    653,
    654,
    655,
    656,
    657,
    658,
    659,
    660,
    661,
    662,
    663,
    664,
    665,
    666,
    667,
    668,
    669,
    670,
    671,
    672,
    673,
    674,
    675,
    676,
    677,
    678,
    679,
    680,
    681,
    682,
    683,
    684,
    685,
    686,
    687,
    688,
    689,
    690,
    691,
    692,
    693,
    694,
    695,
    696,
    697,
    698,
    699,
    700,
    701,
    702,
    703,
    704,
    705,
    706,
    707,
    708,
    709,
    710,
    711,
    712,
    713,
    714,
    715,
    716,
    717,
    718,
    719,
    720,
    721,
    722,
    723,
    724,
    725,
    726,
    727,
    728,
    729,
    730,
    731,
    732,
    733,
    734,
    735,
    736,
    737,
    738,
    739,
    740,
    741,
    742,
    743,
    744,
    745,
    746,
    747,
    748,
    749,
    750,
    751,
    752,
    753,
    754,
    755,
    756,
    757,
    758,
    759,
    760,
    761,
    762,
    763,
    764,
    765,
    766,
    767,
    768,
    769,
    770,
    771,
    772,
    773,
    774,
    775,
    776,
    777,
    778,
    779,
    780,
    781,
    782,
    783,
    784,
    785,
    786,
    787,
    788,
    789,
    790,
    791,
    792,
    793,
    794,
    795,
    796,
    797,
    798,
    799,
    800,
    801,
    802,
    803,
    804,
    805,
    806,
    807,
    808,
    809,
    810,
    811,
    812,
    813,
    814,
    815,
    816,
    817,
    818,
    819,
    820,
    821,
    822,
    823,
    824,
    825,
    826,
    827,
    828,
    829,
    830,
    831,
    832,
    833,
    834,
    835,
    836,
    837,
    838,
    839,
    840,
    841,
    842,
    843,
    844,
    845,
    846,
    847,
    848,
    849,
    851,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0
  };
  std::string _labels[NUM_RX_NAMES] = {
    "(z,total)",
    "(z,scattering)",
    "(z,elastic)",
    "(z,nonelastic)",
    "(z,n)",
    "(misc)",
    "(z,continuum)",
    "(z,2nd)",
    "(z,2n)",
    "(z,2n0)",
    "(z,2n1)",
    "(z,2n2)",
    "(z,3n)",
    "(z,3n0)",
    "(z,3n1)",
    "(z,3n2)",
    "(z,fission)",
    "(z,f)",
    "(z,nf)",
    "(z,2nf)",
    "(z,n+a)",
    "(z,n+a0)",
    "(z,n+a1)",
    "(z,n+a2)",
    "(z,n+3a)",
    "(z,2n+a)",
    "(z,3n+a)",
    "(z,abs) Absorption",
    "(z,n+p)",
    "(z,n+p0)",
    "(z,n+p1)",
    "(z,n+p2)",
    "(z,n+p+d)",
    "(z,n+2a)",
    "(z,2n+2a)",
    "(z,nd)",
    "(z,nd0)",
    "(z,nd1)",
    "(z,nd2)",
    "(z,nt)",
    "(z,nt0)",
    "(z,nt1)",
    "(z,nt2)",
    "(z,n+He3)",
    "(z,n+He3-0)",
    "(z,n+He3-1)",
    "(z,n+He3-2)",
    "(z,n+d+3a)",
    "(z,n+t+2a)",
    "(z,4n)",
    "(z,4n0)",
    "(z,4n1)",
    "(z,3nf)",
    "(z,2n+p)",
    "(z,3n+p)",
    "(z,n+2p)",
    "(z,npa)",
    "(z,n0)",
    "(z,n1)",
    "(z,n2)",
    "(z,n3)",
    "(z,n4)",
    "(z,n5)",
    "(z,n6)",
    "(z,n7)",
    "(z,n8)",
    "(z,n9)",
    "(z,n10)",
    "(z,n11)",
    "(z,n12)",
    "(z,n13)",
    "(z,n14)",
    "(z,n15)",
    "(z,n16)",
    "(z,n17)",
    "(z,n18)",
    "(z,n19)",
    "(z,n20)",
    "(z,n21)",
    "(z,n22)",
    "(z,n23)",
    "(z,n24)",
    "(z,n25)",
    "(z,n26)",
    "(z,n27)",
    "(z,n28)",
    "(z,n29)",
    "(z,n30)",
    "(z,n31)",
    "(z,n32)",
    "(z,n33)",
    "(z,n34)",
    "(z,n35)",
    "(z,n36)",
    "(z,n37)",
    "(z,n38)",
    "(z,n39)",
    "(z,n40)",
    "(z,nc)",
    "(z,disap) Neutron disappearance",
    "(z,gamma)",
    "(z,gamma0)",
    "(z,gamma1)",
    "(z,gamma2)",
    "(z,p)",
    "(z,d)",
    "(z,t)",
    "(z,3He)",
    "(z,a)",
    "(z,2a)",
    "(z,3a)",
    "(z,2p)",
    "(z,2p0)",
    "(z,2p1)",
    "(z,2p2)",
    "(z,pa)",
    "(z,t2a)",
    "(z,d2a)",
    "(z,pd)",
    "(z,pt)",
    "(z,da)",
    "Resonance Parameters",
    "(z,Xn)",
    "(z,Xgamma)",
    "(z,Xp)",
    "(z,Xd)",
    "(z,Xt)",
    "(z,X3He)",
    "(z,Xa)",
    "(z,Xpi+) Total pi+ meson production",
    "(z,Xpi0) Total pi0 meson production",
    "(z,Xpi-) Total pi- meson production",
    "(z,Xmu+) Total anti-muon production",
    "(z,Xmu-) Total muon production",
    "(z,Xk+) Total positive kaon production",
    "(z,Xk0long) Total long-lived neutral kaon production",
    "(z,Xk0short) Total short-lived neutral kaon production",
    "(z,Xk-) Total negative kaon production",
    "(z,Xp-) Total anti-proton production",
    "(z,Xn-) Total anti-neutron production",
    "Average cosine of scattering angle",
    "Average logarithmic energy decrement",
    "Average xi^2/(2*xi)",
    "Energy Release from (z,total)",
    "Energy Release from (z,elastic)",
    "Energy Release from (z,nonelastic)",
    "Energy Release from (z,inelastic)",
    "Energy Release from (misc)",
    "Energy Release from (z,continuum)",
    "Energy Release from (z,2nd)",
    "Energy Release from (z,2n)",
    "Energy Release from (z,3n)",
    "Energy Release from (z,fission)",
    "Energy Release from (z,f)",
    "Energy Release from (z,nf)",
    "Energy Release from (z,2nf)",
    "Energy Release from (z,n+a)",
    "Energy Release from (z,n+3a)",
    "Energy Release from (z,2n+a)",
    "Energy Release from (z,3n+a)",
    "Energy Release from (z,abs) Absorption",
    "Energy Release from (z,n+p)",
    "Energy Release from (z,n+2a)",
    "Energy Release from (z,2n+2a)",
    "Energy Release from (z,nd)",
    "Energy Release from (z,nt)",
    "Energy Release from (z,n+He3)",
    "Energy Release from (z,n+d+3a)",
    "Energy Release from (z,n+t+2a)",
    "Energy Release from (z,4n)",
    "Energy Release from (z,3nf)",
    "Energy Release from (z,2n+p)",
    "Energy Release from (z,3n+p)",
    "Energy Release from (z,n+2p)",
    "Energy Release from (z,npa)",
    "Energy Release from (z,n0)",
    "Energy Release from (z,n1)",
    "Energy Release from (z,n2)",
    "Energy Release from (z,n3)",
    "Energy Release from (z,n4)",
    "Energy Release from (z,n5)",
    "Energy Release from (z,n6)",
    "Energy Release from (z,n7)",
    "Energy Release from (z,n8)",
    "Energy Release from (z,n9)",
    "Energy Release from (z,n10)",
    "Energy Release from (z,n11)",
    "Energy Release from (z,n12)",
    "Energy Release from (z,n13)",
    "Energy Release from (z,n14)",
    "Energy Release from (z,n15)",
    "Energy Release from (z,n16)",
    "Energy Release from (z,n17)",
    "Energy Release from (z,n18)",
    "Energy Release from (z,n19)",
    "Energy Release from (z,n20)",
    "Energy Release from (z,n21)",
    "Energy Release from (z,n22)",
    "Energy Release from (z,n23)",
    "Energy Release from (z,n24)",
    "Energy Release from (z,n25)",
    "Energy Release from (z,n26)",
    "Energy Release from (z,n27)",
    "Energy Release from (z,n28)",
    "Energy Release from (z,n29)",
    "Energy Release from (z,n30)",
    "Energy Release from (z,n31)",
    "Energy Release from (z,n32)",
    "Energy Release from (z,n33)",
    "Energy Release from (z,n34)",
    "Energy Release from (z,n35)",
    "Energy Release from (z,n36)",
    "Energy Release from (z,n37)",
    "Energy Release from (z,n38)",
    "Energy Release from (z,n39)",
    "Energy Release from (z,n40)",
    "Energy Release from (z,nc)",
    "Energy Release from (z,disap) Neutron disappearance",
    "Energy Release from (z,gamma)",
    "Energy Release from (z,p)",
    "Energy Release from (z,d)",
    "Energy Release from (z,t)",
    "Energy Release from (z,3He)",
    "Energy Release from (z,a)",
    "Energy Release from (z,2a)",
    "Energy Release from (z,3a)",
    "Energy Release from (z,2p)",
    "Energy Release from (z,pa)",
    "Energy Release from (z,t2a)",
    "Energy Release from (z,d2a)",
    "Energy Release from (z,pd)",
    "Energy Release from (z,pt)",
    "Energy Release from (z,da)",
    "(damage)",
    "Descriptive Data",
    "Total Neutrons per Fission",
    "Independent fission product yield",
    "Delayed Neutron Data",
    "Prompt Neutrons per Fission",
    "Radioactive Decay Data",
    "Energy Release Due to Fission",
    "Cumulative Fission Product Yield",
    "Delayed Photon Data",
    "Total charged-particle stopping power",
    "Total photon interaction",
    "Photon coherent scattering",
    "Photon incoherent scattering",
    "Imaginary scattering factor",
    "Real scattering factor",
    "Pair production, electron field",
    "Total pair production",
    "Pair production, nuclear field",
    "Photoelectric absorption",
    "Photo-excitation cross section",
    "Electro-atomic scattering",
    "Electro-atomic bremsstrahlung",
    "Electro-atomic excitation cross section",
    "Atomic relaxation data",
    "K (1s1/2) subshell",
    "L1 (2s1/2) subshell",
    "L2 (2p1/2) subshell",
    "L3 (2p3/2) subshell",
    "M1 (3s1/2) subshell",
    "M2 (3p1/2) subshell",
    "M3 (3p3/2) subshell",
    "M4 (3d1/2) subshell",
    "M5 (3d1/2) subshell",
    "N1 (4s1/2) subshell",
    "N2 (4p1/2) subshell",
    "N3 (4p3/2) subshell",
    "N4 (4d3/2) subshell",
    "N5 (4d5/2) subshell",
    "N6 (4f5/2) subshell",
    "N7 (4f7/2) subshell",
    "O1 (5s1/2) subshell",
    "O2 (5p1/2) subshell",
    "O3 (5p3/2) subshell",
    "O4 (5d3/2) subshell",
    "O5 (5d5/2) subshell",
    "O6 (5f5/2) subshell",
    "O7 (5f7/2) subshell",
    "O8 (5g7/2) subshell",
    "O9 (5g9/2) subshell",
    "P1 (6s1/2) subshell",
    "P2 (6p1/2) subshell",
    "P3 (6p3/2) subshell",
    "P4 (6d3/2) subshell",
    "P5 (6d5/2) subshell",
    "P6 (6f5/2) subshell",
    "P7 (6f7/2) subshell",
    "P8 (6g7/2) subshell",
    "P9 (6g9/2) subshell",
    "P10 (6h9/2) subshell",
    "P11 (6h11/2) subshell",
    "Q1 (7s1/2) subshell",
    "Q2 (7p1/2) subshell",
    "Q3 (7p3/2) subshell",
    "(z,p0)",
    "(z,p1)",
    "(z,p2)",
    "(z,p3)",
    "(z,p4)",
    "(z,p5)",
    "(z,p6)",
    "(z,p7)",
    "(z,p8)",
    "(z,p9)",
    "(z,p10)",
    "(z,p11)",
    "(z,p12)",
    "(z,p13)",
    "(z,p14)",
    "(z,p15)",
    "(z,p16)",
    "(z,p17)",
    "(z,p18)",
    "(z,p19)",
    "(z,p20)",
    "(z,p21)",
    "(z,p22)",
    "(z,p23)",
    "(z,p24)",
    "(z,p25)",
    "(z,p26)",
    "(z,p27)",
    "(z,p28)",
    "(z,p29)",
    "(z,p30)",
    "(z,p31)",
    "(z,p32)",
    "(z,p33)",
    "(z,p34)",
    "(z,p35)",
    "(z,p36)",
    "(z,p37)",
    "(z,p38)",
    "(z,p39)",
    "(z,p40)",
    "(z,p41)",
    "(z,p42)",
    "(z,p43)",
    "(z,p44)",
    "(z,p45)",
    "(z,p46)",
    "(z,p47)",
    "(z,p48)",
    "(z,pc)",
    "(z,d0)",
    "(z,d1)",
    "(z,d2)",
    "(z,d3)",
    "(z,d4)",
    "(z,d5)",
    "(z,d6)",
    "(z,d7)",
    "(z,d8)",
    "(z,d9)",
    "(z,d10)",
    "(z,d11)",
    "(z,d12)",
    "(z,d13)",
    "(z,d14)",
    "(z,d15)",
    "(z,d16)",
    "(z,d17)",
    "(z,d18)",
    "(z,d19)",
    "(z,d20)",
    "(z,d21)",
    "(z,d22)",
    "(z,d23)",
    "(z,d24)",
    "(z,d25)",
    "(z,d26)",
    "(z,d27)",
    "(z,d28)",
    "(z,d29)",
    "(z,d30)",
    "(z,d31)",
    "(z,d32)",
    "(z,d33)",
    "(z,d34)",
    "(z,d35)",
    "(z,d36)",
    "(z,d37)",
    "(z,d38)",
    "(z,d39)",
    "(z,d40)",
    "(z,d41)",
    "(z,d42)",
    "(z,d43)",
    "(z,d44)",
    "(z,d45)",
    "(z,d46)",
    "(z,d47)",
    "(z,d48)",
    "(z,dc)",
    "(z,t0)",
    "(z,t1)",
    "(z,t2)",
    "(z,t3)",
    "(z,t4)",
    "(z,t5)",
    "(z,t6)",
    "(z,t7)",
    "(z,t8)",
    "(z,t9)",
    "(z,t10)",
    "(z,t11)",
    "(z,t12)",
    "(z,t13)",
    "(z,t14)",
    "(z,t15)",
    "(z,t16)",
    "(z,t17)",
    "(z,t18)",
    "(z,t19)",
    "(z,t20)",
    "(z,t21)",
    "(z,t22)",
    "(z,t23)",
    "(z,t24)",
    "(z,t25)",
    "(z,t26)",
    "(z,t27)",
    "(z,t28)",
    "(z,t29)",
    "(z,t30)",
    "(z,t31)",
    "(z,t32)",
    "(z,t33)",
    "(z,t34)",
    "(z,t35)",
    "(z,t36)",
    "(z,t37)",
    "(z,t38)",
    "(z,t39)",
    "(z,t40)",
    "(z,t41)",
    "(z,t42)",
    "(z,t43)",
    "(z,t44)",
    "(z,t45)",
    "(z,t46)",
    "(z,t47)",
    "(z,t48)",
    "(z,tc)",
    "(z,3He0)",
    "(z,3He1)",
    "(z,3He2)",
    "(z,3He3)",
    "(z,3He4)",
    "(z,3He5)",
    "(z,3He6)",
    "(z,3He7)",
    "(z,3He8)",
    "(z,3He9)",
    "(z,3He10)",
    "(z,3He11)",
    "(z,3He12)",
    "(z,3He13)",
    "(z,3He14)",
    "(z,3He15)",
    "(z,3He16)",
    "(z,3He17)",
    "(z,3He18)",
    "(z,3He19)",
    "(z,3He20)",
    "(z,3He21)",
    "(z,3He22)",
    "(z,3He23)",
    "(z,3He24)",
    "(z,3He25)",
    "(z,3He26)",
    "(z,3He27)",
    "(z,3He28)",
    "(z,3He29)",
    "(z,3He30)",
    "(z,3He31)",
    "(z,3He32)",
    "(z,3He33)",
    "(z,3He34)",
    "(z,3He35)",
    "(z,3He36)",
    "(z,3He37)",
    "(z,3He38)",
    "(z,3He39)",
    "(z,3He40)",
    "(z,3He41)",
    "(z,3He42)",
    "(z,3He43)",
    "(z,3He44)",
    "(z,3He45)",
    "(z,3He46)",
    "(z,3He47)",
    "(z,3He48)",
    "(z,3Hec)",
    "(z,a0)",
    "(z,a1)",
    "(z,a2)",
    "(z,a3)",
    "(z,a4)",
    "(z,a5)",
    "(z,a6)",
    "(z,a7)",
    "(z,a8)",
    "(z,a9)",
    "(z,a10)",
    "(z,a11)",
    "(z,a12)",
    "(z,a13)",
    "(z,a14)",
    "(z,a15)",
    "(z,a16)",
    "(z,a17)",
    "(z,a18)",
    "(z,a19)",
    "(z,a20)",
    "(z,a21)",
    "(z,a22)",
    "(z,a23)",
    "(z,a24)",
    "(z,a25)",
    "(z,a26)",
    "(z,a27)",
    "(z,a28)",
    "(z,a29)",
    "(z,a30)",
    "(z,a31)",
    "(z,a32)",
    "(z,a33)",
    "(z,a34)",
    "(z,a35)",
    "(z,a36)",
    "(z,a37)",
    "(z,a38)",
    "(z,a39)",
    "(z,a40)",
    "(z,a41)",
    "(z,a42)",
    "(z,a43)",
    "(z,a44)",
    "(z,a45)",
    "(z,a46)",
    "(z,a47)",
    "(z,a48)",
    "(z,ac)",
    "Lumped Covariances",
    "Any Excited State",
    "(z,b-)",
    "(z,b+)",
    "(z,ec)",
    "(z,b-n)",
    "(z,b-a)",
    "(z,it)",
    "(z,b+a)",
    "(z,ec+b+)",
    "(z,b+p)",
    "(z,b-2n)",
    "(z,b-3n)",
    "(z,b-4n)",
    "(z,ecp)",
    "(z,eca)",
    "(z,b+2p)",
    "(z,ec2p)",
    "(z,2b-)",
    "(z,b-p)",
    "(z,14c)",
    "(z,b+3p)",
    "(z,sf)",
    "(z,2b+)",
    "(z,2ec)"
  };
  std::string _docs[NUM_RX_NAMES] = {
    "(n,total) Neutron total",
    "Total scattering",
    "(z,z0) Elastic scattering",
    "(z,nonelas) Nonelastic neutron",
    "(z,n) One neutron in exit channel",
    "(z,anything) Miscellaneous",
    "(z,contin) Total continuum reaction",
    "(z,2nd) Production of 2n and d",
    "(z,2n) Production of 2n",
    "(z,2n0) Production of 2n, ground state",
    "(z,2n1) Production of 2n, 1st excited state",
    "(z,2n2) Production of 2n, 2nd excited state",
    "(z,3n) Production of 3n",
    "(z,3n0) Production of 3n, ground state",
    "(z,3n1) Production of 3n, 1st excited state",
    "(z,3n2) Production of 3n, 2nd excited state",
    "(z,fiss) Particle-induced fission",
    "(z,f) First-chance fission",
    "(z,nf) Second chance fission",
    "(z,2nf) Third-chance fission",
    "(z,na) Production of n and alpha",
    "(z,na0) Production of n and alpha, ground state",
    "(z,na1) Production of n and alpha, 1st excited state",
    "(z,na2) Production of n and alpha, 2nd excited state",
    "(z,n3a) Production of n and 3 alphas",
    "(z,2na) Production of 2n and alpha",
    "(z,3na) Production of 3n and alpha",
    "(n,abs) Absorption",
    "(z,np) Production of n and p",
    "(z,np0) Production of n and p, ground state",
    "(z,np1) Production of n and p, 1st excited state",
    "(z,np2) Production of n and p, 2nd excited state",
    "(z,npd) Production of n, p, and d",
    "(z,n2a) Production of n and 2 alphas",
    "(z,2n2a) Production of 2n and 2 alphas",
    "(z,nd) Production of n and d",
    "(z,nd0) Production of n and d, ground state",
    "(z,nd1) Production of n and d, 1st excited state",
    "(z,nd2) Production of n and d, 2nd excited state",
    "(z,nt) Production of n and t",
    "(z,nt0) Production of n and t, ground state",
    "(z,nt1) Production of n and t, 1st excited state",
    "(z,nt2) Production of n and t, 2nd excited state",
    "(z,n3He) Production of n and He-3",
    "(z,n3He-0) Production of n and He-3, ground state",
    "(z,n3He-1) Production of n and He-3, 1st excited state",
    "(z,n3He-2) Production of n and He-3, 2nd excited state",
    "(z,nd2a) Production of n, d, and alpha",
    "(z,nt2a) Production of n, t, and 2 alphas",
    "(z,4n) Production of 4n",
    "(z,4n0) Production of 4n, ground state",
    "(z,4n1) Production of 4n, 1st excited state",
    "(z,3nf) Fourth-chance fission",
    "(z,2np) Production of 2n and p",
    "(z,3np) Production of 3n and p",
    "(z,n2p) Production of n and 2p",
    "(z,npa) Production of n, p, and alpha",
    "(z,n0) Production of n, ground state",
    "(z,n1) Production of n, 1st excited state",
    "(z,n2) Production of n, 2nd excited state",
    "(z,n3) Production of n, 3rd excited state",
    "(z,n4) Production of n, 4th excited state",
    "(z,n5) Production of n, 5th excited state",
    "(z,n6) Production of n, 6th excited state",
    "(z,n7) Production of n, 7th excited state",
    "(z,n8) Production of n, 8th excited state",
    "(z,n9) Production of n, 9th excited state",
    "(z,n10) Production of n, 10th excited state",
    "(z,n11) Production of n, 11th excited state",
    "(z,n12) Production of n, 12th excited state",
    "(z,n13) Production of n, 13th excited state",
    "(z,n14) Production of n, 14th excited state",
    "(z,n15) Production of n, 15th excited state",
    "(z,n16) Production of n, 16th excited state",
    "(z,n17) Production of n, 17th excited state",
    "(z,n18) Production of n, 18th excited state",
    "(z,n19) Production of n, 19th excited state",
    "(z,n20) Production of n, 20th excited state",
    "(z,n21) Production of n, 21st excited state",
    "(z,n22) Production of n, 22nd excited state",
    "(z,n23) Production of n, 23rd excited state",
    "(z,n24) Production of n, 24th excited state",
    "(z,n25) Production of n, 25th excited state",
    "(z,n26) Production of n, 26th excited state",
    "(z,n27) Production of n, 27th excited state",
    "(z,n28) Production of n, 28th excited state",
    "(z,n29) Production of n, 29th excited state",
    "(z,n30) Production of n, 30th excited state",
    "(z,n31) Production of n, 31st excited state",
    "(z,n32) Production of n, 32nd excited state",
    "(z,n33) Production of n, 33rd excited state",
    "(z,n34) Production of n, 34th excited state",
    "(z,n35) Production of n, 35th excited state",
    "(z,n36) Production of n, 36th excited state",
    "(z,n37) Production of n, 37th excited state",
    "(z,n38) Production of n, 38th excited state",
    "(z,n39) Production of n, 39th excited state",
    "(z,n40) Production of n, 40th excited state",
    "(z,nc) Production of n in continuum",
    "(n,disap) Neutron disappearance",
    "(z,gamma) Radiative capture",
    "(z,gamma0) Radiative capture, ground state",
    "(z,gamma1) Radiative capture, 1st excited state",
    "(z,gamma2) Radiative capture, 2st excited state",
    "(z,p) Production of p",
    "(z,d) Production of d",
    "(z,t) Production of t",
    "(z,3He) Production of He-3",
    "(z,a) Production of alpha",
    "(z,2a) Production of 2 alphas",
    "(z,3a) Production of 3 alphas",
    "(z,2p) Production of 2p",
    "(z,2p0) Production of 2p, ground state",
    "(z,2p1) Production of 2p, 1st excited state",
    "(z,2p2) Production of 2p, 2nd excited state",
    "(z,pa) Production of p and alpha",
    "(z,t2a) Production of t and 2 alphas",
    "(z,d2a) Production of d and 2 alphas",
    "(z,pd) Production of p and d",
    "(z,pt) Production of p and t",
    "(z,da) Production of d and a",
    "Resonance Parameters",
    "(z,Xn) Total neutron production",
    "(z,Xgamma) Total gamma production",
    "(z,Xp) Total proton production",
    "(z,Xd) Total deuteron production",
    "(z,Xt) Total triton production",
    "(z,X3He) Total He-3 production",
    "(z,Xa) Total alpha production",
    "(z,Xpi+) Total pi+ meson production",
    "(z,Xpi0) Total pi0 meson production",
    "(z,Xpi-) Total pi- meson production",
    "(z,Xmu+) Total anti-muon production",
    "(z,Xmu-) Total muon production",
    "(z,Xk+) Total positive kaon production",
    "(z,Xk0long) Total long-lived neutral kaon production",
    "(z,Xk0short) Total short-lived neutral kaon production",
    "(z,Xk-) Total negative kaon production",
    "(z,Xp-) Total anti-proton production",
    "(z,Xn-) Total anti-neutron production",
    "Average cosine of scattering angle",
    "Average logarithmic energy decrement",
    "Average xi^2/(2*xi)",
    "Energy Release from (n,total) Neutron total",
    "Energy Release from (z,z0) Elastic scattering",
    "Energy Release from (z,nonelas) Nonelastic neutron",
    "Energy Release from (z,n) One neutron in exit channel",
    "Energy Release from (z,anything) Miscellaneous",
    "Energy Release from (z,contin) Total continuum reaction",
    "Energy Release from (z,2nd) Production of 2n and d",
    "Energy Release from (z,2n) Production of 2n",
    "Energy Release from (z,3n) Production of 3n",
    "Energy Release from (z,fiss) Particle-induced fission",
    "Energy Release from (z,f) First-chance fission",
    "Energy Release from (z,nf) Second chance fission",
    "Energy Release from (z,2nf) Third-chance fission",
    "Energy Release from (z,na) Production of n and alpha",
    "Energy Release from (z,n3a) Production of n and 3 alphas",
    "Energy Release from (z,2na) Production of 2n and alpha",
    "Energy Release from (z,3na) Production of 3n and alpha",
    "Energy Release from (n,abs) Absorption",
    "Energy Release from (z,np) Production of n and p",
    "Energy Release from (z,n2a) Production of n and 2 alphas",
    "Energy Release from (z,2n2a) Production of 2n and 2 alphas",
    "Energy Release from (z,nd) Production of n and d",
    "Energy Release from (z,nt) Production of n and t",
    "Energy Release from (z,n3He) Production of n and He-3",
    "Energy Release from (z,nd2a) Production of n, d, and alpha",
    "Energy Release from (z,nt2a) Production of n, t, and 2 alphas",
    "Energy Release from (z,4n) Production of 4n",
    "Energy Release from (z,3nf) Fourth-chance fission",
    "Energy Release from (z,2np) Production of 2n and p",
    "Energy Release from (z,3np) Production of 3n and p",
    "Energy Release from (z,n2p) Production of n and 2p",
    "Energy Release from (z,npa) Production of n, p, and alpha",
    "Energy Release from (z,n0) Production of n, ground state",
    "Energy Release from (z,n1) Production of n, 1st excited state",
    "Energy Release from (z,n2) Production of n, 2nd excited state",
    "Energy Release from (z,n3) Production of n, 3rd excited state",
    "Energy Release from (z,n4) Production of n, 4th excited state",
    "Energy Release from (z,n5) Production of n, 5th excited state",
    "Energy Release from (z,n6) Production of n, 6th excited state",
    "Energy Release from (z,n7) Production of n, 7th excited state",
    "Energy Release from (z,n8) Production of n, 8th excited state",
    "Energy Release from (z,n9) Production of n, 9th excited state",
    "Energy Release from (z,n10) Production of n, 10th excited state",
    "Energy Release from (z,n11) Production of n, 11th excited state",
    "Energy Release from (z,n12) Production of n, 12th excited state",
    "Energy Release from (z,n13) Production of n, 13th excited state",
    "Energy Release from (z,n14) Production of n, 14th excited state",
    "Energy Release from (z,n15) Production of n, 15th excited state",
    "Energy Release from (z,n16) Production of n, 16th excited state",
    "Energy Release from (z,n17) Production of n, 17th excited state",
    "Energy Release from (z,n18) Production of n, 18th excited state",
    "Energy Release from (z,n19) Production of n, 19th excited state",
    "Energy Release from (z,n20) Production of n, 20th excited state",
    "Energy Release from (z,n21) Production of n, 21st excited state",
    "Energy Release from (z,n22) Production of n, 22nd excited state",
    "Energy Release from (z,n23) Production of n, 23rd excited state",
    "Energy Release from (z,n24) Production of n, 24th excited state",
    "Energy Release from (z,n25) Production of n, 25th excited state",
    "Energy Release from (z,n26) Production of n, 26th excited state",
    "Energy Release from (z,n27) Production of n, 27th excited state",
    "Energy Release from (z,n28) Production of n, 28th excited state",
    "Energy Release from (z,n29) Production of n, 29th excited state",
    "Energy Release from (z,n30) Production of n, 30th excited state",
    "Energy Release from (z,n31) Production of n, 31st excited state",
    "Energy Release from (z,n32) Production of n, 32nd excited state",
    "Energy Release from (z,n33) Production of n, 33rd excited state",
    "Energy Release from (z,n34) Production of n, 34th excited state",
    "Energy Release from (z,n35) Production of n, 35th excited state",
    "Energy Release from (z,n36) Production of n, 36th excited state",
    "Energy Release from (z,n37) Production of n, 37th excited state",
    "Energy Release from (z,n38) Production of n, 38th excited state",
    "Energy Release from (z,n39) Production of n, 39th excited state",
    "Energy Release from (z,n40) Production of n, 40th excited state",
    "Energy Release from (z,nc) Production of n in continuum",
    "Energy Release from (n,disap) Neutron disappearance",
    "Energy Release from (z,gamma) Radiative capture",
    "Energy Release from (z,p) Production of p",
    "Energy Release from (z,d) Production of d",
    "Energy Release from (z,t) Production of t",
    "Energy Release from (z,3He) Production of He-3",
    "Energy Release from (z,a) Production of alpha",
    "Energy Release from (z,2a) Production of 2 alphas",
    "Energy Release from (z,3a) Production of 3 alphas",
    "Energy Release from (z,2p) Production of 2p",
    "Energy Release from (z,pa) Production of p and alpha",
    "Energy Release from (z,t2a) Production of t and 2 alphas",
    "Energy Release from (z,d2a) Production of d and 2 alphas",
    "Energy Release from (z,pd) Production of p and d",
    "Energy Release from (z,pt) Production of p and t",
    "Energy Release from (z,da) Production of d and a",
    "(damage)",
    "Descriptive Data",
    "Total Neutrons per Fission",
    "Independent fission product yield",
    "Delayed Neutron Data",
    "Prompt Neutrons per Fission",
    "Radioactive Decay Data",
    "Energy Release Due to Fission",
    "Cumulative Fission Product Yield",
    "Delayed Photon Data",
    "Total charged-particle stopping power",
    "Total photon interaction",
    "Photon coherent scattering",
    "Photon incoherent scattering",
    "Imaginary scattering factor",
    "Real scattering factor",
    "Pair production, electron field",
    "Total pair production",
    "Pair production, nuclear field",
    "Photoelectric absorption",
    "Photo-excitation cross section",
    "Electro-atomic scattering",
    "Electro-atomic bremsstrahlung",
    "Electro-atomic excitation cross section",
    "Atomic relaxation data",
    "K (1s1/2) subshell",
    "L1 (2s1/2) subshell",
    "L2 (2p1/2) subshell",
    "L3 (2p3/2) subshell",
    "M1 (3s1/2) subshell",
    "M2 (3p1/2) subshell",
    "M3 (3p3/2) subshell",
    "M4 (3d1/2) subshell",
    "M5 (3d1/2) subshell",
    "N1 (4s1/2) subshell",
    "N2 (4p1/2) subshell",
    "N3 (4p3/2) subshell",
    "N4 (4d3/2) subshell",
    "N5 (4d5/2) subshell",
    "N6 (4f5/2) subshell",
    "N7 (4f7/2) subshell",
    "O1 (5s1/2) subshell",
    "O2 (5p1/2) subshell",
    "O3 (5p3/2) subshell",
    "O4 (5d3/2) subshell",
    "O5 (5d5/2) subshell",
    "O6 (5f5/2) subshell",
    "O7 (5f7/2) subshell",
    "O8 (5g7/2) subshell",
    "O9 (5g9/2) subshell",
    "P1 (6s1/2) subshell",
    "P2 (6p1/2) subshell",
    "P3 (6p3/2) subshell",
    "P4 (6d3/2) subshell",
    "P5 (6d5/2) subshell",
    "P6 (6f5/2) subshell",
    "P7 (6f7/2) subshell",
    "P8 (6g7/2) subshell",
    "P9 (6g9/2) subshell",
    "P10 (6h9/2) subshell",
    "P11 (6h11/2) subshell",
    "Q1 (7s1/2) subshell",
    "Q2 (7p1/2) subshell",
    "Q3 (7p3/2) subshell",
    "(n,p0)",
    "(n,p1)",
    "(n,p2)",
    "(n,p3)",
    "(n,p4)",
    "(n,p5)",
    "(n,p6)",
    "(n,p7)",
    "(n,p8)",
    "(n,p9)",
    "(n,p10)",
    "(n,p11)",
    "(n,p12)",
    "(n,p13)",
    "(n,p14)",
    "(n,p15)",
    "(n,p16)",
    "(n,p17)",
    "(n,p18)",
    "(n,p19)",
    "(n,p20)",
    "(n,p21)",
    "(n,p22)",
    "(n,p23)",
    "(n,p24)",
    "(n,p25)",
    "(n,p26)",
    "(n,p27)",
    "(n,p28)",
    "(n,p29)",
    "(n,p30)",
    "(n,p31)",
    "(n,p32)",
    "(n,p33)",
    "(n,p34)",
    "(n,p35)",
    "(n,p36)",
    "(n,p37)",
    "(n,p38)",
    "(n,p39)",
    "(n,p40)",
    "(n,p41)",
    "(n,p42)",
    "(n,p43)",
    "(n,p44)",
    "(n,p45)",
    "(n,p46)",
    "(n,p47)",
    "(n,p48)",
    "(n,pc)",
    "(n,d0)",
    "(n,d1)",
    "(n,d2)",
    "(n,d3)",
    "(n,d4)",
    "(n,d5)",
    "(n,d6)",
    "(n,d7)",
    "(n,d8)",
    "(n,d9)",
    "(n,d10)",
    "(n,d11)",
    "(n,d12)",
    "(n,d13)",
    "(n,d14)",
    "(n,d15)",
    "(n,d16)",
    "(n,d17)",
    "(n,d18)",
    "(n,d19)",
    "(n,d20)",
    "(n,d21)",
    "(n,d22)",
    "(n,d23)",
    "(n,d24)",
    "(n,d25)",
    "(n,d26)",
    "(n,d27)",
    "(n,d28)",
    "(n,d29)",
    "(n,d30)",
    "(n,d31)",
    "(n,d32)",
    "(n,d33)",
    "(n,d34)",
    "(n,d35)",
    "(n,d36)",
    "(n,d37)",
    "(n,d38)",
    "(n,d39)",
    "(n,d40)",
    "(n,d41)",
    "(n,d42)",
    "(n,d43)",
    "(n,d44)",
    "(n,d45)",
    "(n,d46)",
    "(n,d47)",
    "(n,d48)",
    "(n,dc)",
    "(z,t0)",
    "(z,t1)",
    "(z,t2)",
    "(z,t3)",
    "(z,t4)",
    "(z,t5)",
    "(z,t6)",
    "(z,t7)",
    "(z,t8)",
    "(z,t9)",
    "(z,t10)",
    "(z,t11)",
    "(z,t12)",
    "(z,t13)",
    "(z,t14)",
    "(z,t15)",
    "(z,t16)",
    "(z,t17)",
    "(z,t18)",
    "(z,t19)",
    "(z,t20)",
    "(z,t21)",
    "(z,t22)",
    "(z,t23)",
    "(z,t24)",
    "(z,t25)",
    "(z,t26)",
    "(z,t27)",
    "(z,t28)",
    "(z,t29)",
    "(z,t30)",
    "(z,t31)",
    "(z,t32)",
    "(z,t33)",
    "(z,t34)",
    "(z,t35)",
    "(z,t36)",
    "(z,t37)",
    "(z,t38)",
    "(z,t39)",
    "(z,t40)",
    "(z,t41)",
    "(z,t42)",
    "(z,t43)",
    "(z,t44)",
    "(z,t45)",
    "(z,t46)",
    "(z,t47)",
    "(z,t48)",
    "(n,tc)",
    "(n,3He0)",
    "(n,3He1)",
    "(n,3He2)",
    "(n,3He3)",
    "(n,3He4)",
    "(n,3He5)",
    "(n,3He6)",
    "(n,3He7)",
    "(n,3He8)",
    "(n,3He9)",
    "(n,3He10)",
    "(n,3He11)",
    "(n,3He12)",
    "(n,3He13)",
    "(n,3He14)",
    "(n,3He15)",
    "(n,3He16)",
    "(n,3He17)",
    "(n,3He18)",
    "(n,3He19)",
    "(n,3He20)",
    "(n,3He21)",
    "(n,3He22)",
    "(n,3He23)",
    "(n,3He24)",
    "(n,3He25)",
    "(n,3He26)",
    "(n,3He27)",
    "(n,3He28)",
    "(n,3He29)",
    "(n,3He30)",
    "(n,3He31)",
    "(n,3He32)",
    "(n,3He33)",
    "(n,3He34)",
    "(n,3He35)",
    "(n,3He36)",
    "(n,3He37)",
    "(n,3He38)",
    "(n,3He39)",
    "(n,3He40)",
    "(n,3He41)",
    "(n,3He42)",
    "(n,3He43)",
    "(n,3He44)",
    "(n,3He45)",
    "(n,3He46)",
    "(n,3He47)",
    "(n,3He48)",
    "(n,3Hec)",
    "(z,a0)",
    "(z,a1)",
    "(z,a2)",
    "(z,a3)",
    "(z,a4)",
    "(z,a5)",
    "(z,a6)",
    "(z,a7)",
    "(z,a8)",
    "(z,a9)",
    "(z,a10)",
    "(z,a11)",
    "(z,a12)",
    "(z,a13)",
    "(z,a14)",
    "(z,a15)",
    "(z,a16)",
    "(z,a17)",
    "(z,a18)",
    "(z,a19)",
    "(z,a20)",
    "(z,a21)",
    "(z,a22)",
    "(z,a23)",
    "(z,a24)",
    "(z,a25)",
    "(z,a26)",
    "(z,a27)",
    "(z,a28)",
    "(z,a29)",
    "(z,a30)",
    "(z,a31)",
    "(z,a32)",
    "(z,a33)",
    "(z,a34)",
    "(z,a35)",
    "(z,a36)",
    "(z,a37)",
    "(z,a38)",
    "(z,a39)",
    "(z,a40)",
    "(z,a41)",
    "(z,a42)",
    "(z,a43)",
    "(z,a44)",
    "(z,a45)",
    "(z,a46)",
    "(z,a47)",
    "(z,a48)",
    "(n,ac)",
    "Lumped-Reaction Covariances",
    "production of any excited state nucleus",
    "(z,b-)",
    "(z,b+)",
    "(z,ec)",
    "(z,b-n)",
    "(z,b-a)",
    "(z,it)",
    "(z,b+a)",
    "(z,ec+b+)",
    "(z,b+p)",
    "(z,b-2n)",
    "(z,b-3n)",
    "(z,b-4n)",
    "(z,ecp)",
    "(z,eca)",
    "(z,b+2p)",
    "(z,ec2p)",
    "(z,2b-)",
    "(z,b-p)",
    "(z,14c)",
    "(z,b+3p)",
    "(z,sf)",
    "(z,2b+)",
    "(z,2ec)"
  };

  // fill the maps
  for (int i = 0; i < NUM_RX_NAMES; i++) {
    rx = _names[i];
    rxid = pyne::rxname::hash(rx);
    id_name[rxid] = rx;
    name_id[rx] = rxid;
    if (0 < _mts[i]) {
      id_mt[rxid] = _mts[i];
      mt_id[_mts[i]] = rxid;
    }
    labels[rxid] = _labels[i];
    docs[rxid] = _docs[i];
  }

  // set alternative names
  altnames["tot"] = name_id["total"];
  altnames["s"] = name_id["scattering"];
  altnames["scat"] = name_id["scattering"];
  altnames["e"] = name_id["elastic"];
  altnames["elas"] = name_id["elastic"];
  altnames["i"] = name_id["n"];
  altnames["inel"] = name_id["n"];
  altnames["inelastic"] = name_id["n"];
  altnames["abs"] = name_id["absorption"];
  altnames["fis"] = name_id["fission"];
  altnames["fiss"] = name_id["fission"];
  altnames["alpha"] = name_id["a"];
  altnames["deut"] = name_id["d"];
  altnames["deuteron"] = name_id["d"];
  altnames["deuterium"] = name_id["d"];
  altnames["trit"] = name_id["t"];
  altnames["triton"] = name_id["t"];
  altnames["tritium"] = name_id["t"];
  altnames["proton"] = name_id["p"];
  altnames["h"] = name_id["He3"];  // 'h' stands for helion
  altnames["he3"] = name_id["He3"];
  altnames["HE3"] = name_id["He3"];
  altnames["3HE"] = name_id["He3"];
  altnames["3He"] = name_id["He3"];
  altnames["3he"] = name_id["He3"];
  altnames["he-3"] = name_id["He3"];
  altnames["HE-3"] = name_id["He3"];
  altnames["*"] = name_id["excited"];
  altnames["2n"] = name_id["z_2n"];
  altnames["2p"] = name_id["z_2p"];
  altnames["3h"] = name_id["t"];
  altnames["g"] = name_id["it"];
  altnames["b-"] = name_id["bminus"];
  altnames["b+"] = name_id["bplus"];
  altnames["b-n"] = name_id["bminus_n"];
  altnames["b-a"] = name_id["bminus_a"];
  altnames["b+a"] = name_id["bplus_a"];
  altnames["ec+b+"] = name_id["ec_bplus"];
  altnames["b+p"] = name_id["bplus_p"];
  altnames["b-2n"] = name_id["bminus_2n"];
  altnames["b-3n"] = name_id["bminus_3n"];
  altnames["b-4n"] = name_id["bminus_4n"];
  altnames["b+2p"] = name_id["bplus_2p"];
  altnames["ec2p"] = name_id["ec_2p"];
  altnames["2b-"] = name_id["decay_2bminus"];
  altnames["b-p"] = name_id["bminus_p"];
  altnames["14c"] = name_id["decay_14c"];
  altnames["b+3p"] = name_id["bplus_3p"];
  altnames["2b+"] = name_id["decay_2bplus"];
  altnames["2ec"] = name_id["decay_2ec"];
  

  // set the nuclide difference mappings, offset_id
  // offset_id[incident particle type "n", "p", ...][delta Z num][delta A num][rxid]
  // offset_id mapping may be ambiquious so they must come before the id_offsets!
  // the following should be sorted by (dz, da, ds)
  // neutrons:
  offset_id[make_pair("n", offset(-4, -8))] = name_id["n2a"];
  offset_id[make_pair("n", offset(-4, -7))] = name_id["z_2a"];
  offset_id[make_pair("n", offset(-2, -5))] = name_id["z_2na"];
  offset_id[make_pair("n", offset(-2, -4))] = name_id["na"];
  offset_id[make_pair("n", offset(-2, -4, 1))] = name_id["na_1"];
  offset_id[make_pair("n", offset(-2, -4, 2))] = name_id["na_2"];
  offset_id[make_pair("n", offset(-2, -3))] = name_id["a"];
  offset_id[make_pair("n", offset(-2, -3, 1))] = name_id["a_1"];
  offset_id[make_pair("n", offset(-2, -3, 2))] = name_id["a_2"];
  offset_id[make_pair("n", offset(-2, -2))] = name_id["He3"];
  offset_id[make_pair("n", offset(-2, -2, 1))] = name_id["He3_1"];
  offset_id[make_pair("n", offset(-2, -2, 2))] = name_id["He3_2"];
  offset_id[make_pair("n", offset(-2, -1))] = name_id["z_2p"];
  offset_id[make_pair("n", offset(-2, -1, 1))] = name_id["z_2p_1"];
  offset_id[make_pair("n", offset(-2, -1, 2))] = name_id["z_2p_2"];
  offset_id[make_pair("n", offset(-1, -3))] = name_id["nt"];
  offset_id[make_pair("n", offset(-1, -3, 1))] = name_id["nt_1"];
  offset_id[make_pair("n", offset(-1, -3, 2))] = name_id["nt_2"];
  offset_id[make_pair("n", offset(-1, -2))] = name_id["t"];
  offset_id[make_pair("n", offset(-1, -2, 1))] = name_id["t_1"];
  offset_id[make_pair("n", offset(-1, -2, 2))] = name_id["t_2"];
  offset_id[make_pair("n", offset(-1, -1))] = name_id["d"];
  offset_id[make_pair("n", offset(-1, -1, 1))] = name_id["d_1"];
  offset_id[make_pair("n", offset(-1, -1, 2))] = name_id["d_2"];
  offset_id[make_pair("n", offset(-1, 0))] = name_id["p"];
  offset_id[make_pair("n", offset(-1, 0, 1))] = name_id["p_1"];
  offset_id[make_pair("n", offset(-1, 0, 2))] = name_id["p_2"];
  offset_id[make_pair("n", offset(0, -3))] = name_id["z_4n"];
  offset_id[make_pair("n", offset(0, -3, 1))] = name_id["z_4n_1"];
  offset_id[make_pair("n", offset(0, -2))] = name_id["z_3n"];
  offset_id[make_pair("n", offset(0, -2, 1))] = name_id["z_3n_1"];
  offset_id[make_pair("n", offset(0, -2, 2))] = name_id["z_3n_2"];
  offset_id[make_pair("n", offset(0, -1))] = name_id["z_2n"];
  offset_id[make_pair("n", offset(0, -1, 1))] = name_id["z_2n_1"];
  offset_id[make_pair("n", offset(0, -1, 2))] = name_id["z_2n_2"];
  offset_id[make_pair("n", offset(0, 0))] = name_id["scattering"];
  offset_id[make_pair("n", offset(0, 0, 1))] = name_id["n_1"];
  offset_id[make_pair("n", offset(0, 0, 2))] = name_id["n_2"];
  offset_id[make_pair("n", offset(0, 1))] = name_id["absorption"];
  offset_id[make_pair("n", offset(0, 1, 1))] = name_id["gamma_1"];
  offset_id[make_pair("n", offset(0, 1, 2))] = name_id["gamma_2"];
  // proton:
  offset_id[make_pair("p", offset(0, 0))] = name_id["scattering"];
  offset_id[make_pair("p", offset(1, 1))] = name_id["absorption"];
  offset_id[make_pair("p", offset(1, 0))] = name_id["n"];
  offset_id[make_pair("p", offset(1, -1))] = name_id["z_2n"];
  offset_id[make_pair("p", offset(1, -2))] = name_id["z_3n"];
  offset_id[make_pair("p", offset(1, -3))] = name_id["z_4n"];
  offset_id[make_pair("p", offset(-1, -1))] = name_id["z_2p"];
  offset_id[make_pair("p", offset(0, -1))] = name_id["d"];
  offset_id[make_pair("p", offset(0, -2))] = name_id["t"];
  offset_id[make_pair("p", offset(-1, -2))] = name_id["He3"];
  offset_id[make_pair("p", offset(-1, -3))] = name_id["a"];
  // deuterium:
  offset_id[make_pair("d", offset(0, 0))] = name_id["scattering"];
  offset_id[make_pair("d", offset(1, 2))] = name_id["absorption"];
  offset_id[make_pair("d", offset(1, 1))] = name_id["n"];
  offset_id[make_pair("d", offset(1, 0))] = name_id["z_2n"];
  offset_id[make_pair("d", offset(1, -1))] = name_id["z_3n"];
  offset_id[make_pair("d", offset(1, -2))] = name_id["z_4n"];
  offset_id[make_pair("d", offset(0, 1))] = name_id["p"];
  offset_id[make_pair("d", offset(-1, 0))] = name_id["z_2p"];
  offset_id[make_pair("d", offset(0, -1))] = name_id["t"];
  offset_id[make_pair("d", offset(-1, -1))] = name_id["He3"];
  offset_id[make_pair("d", offset(-1, -2))] = name_id["a"];
  // tritium:
  offset_id[make_pair("t", offset(0, 0))] = name_id["scattering"];
  offset_id[make_pair("t", offset(1, 3))] = name_id["absorption"];
  offset_id[make_pair("t", offset(1, 2))] = name_id["n"];
  offset_id[make_pair("t", offset(1, 1))] = name_id["z_2n"];
  offset_id[make_pair("t", offset(1, 0))] = name_id["z_3n"];
  offset_id[make_pair("t", offset(1, -1))] = name_id["z_4n"];
  offset_id[make_pair("t", offset(0, 2))] = name_id["p"];
  offset_id[make_pair("t", offset(-1, 1))] = name_id["z_2p"];
  offset_id[make_pair("t", offset(0, 1))] = name_id["d"];
  offset_id[make_pair("t", offset(-1, 0))] = name_id["He3"];
  offset_id[make_pair("t", offset(-1, -1))] = name_id["a"];
  // He3:
  offset_id[make_pair("He3", offset(0, 0))] = name_id["scattering"];
  offset_id[make_pair("He3", offset(2, 3))] = name_id["absorption"];
  offset_id[make_pair("He3", offset(2, 2))] = name_id["n"];
  offset_id[make_pair("He3", offset(2, 1))] = name_id["z_2n"];
  offset_id[make_pair("He3", offset(2, 0))] = name_id["z_3n"];
  offset_id[make_pair("He3", offset(2, -1))] = name_id["z_4n"];
  offset_id[make_pair("He3", offset(1, 2))] = name_id["p"];
  offset_id[make_pair("He3", offset(0, 1))] = name_id["z_2p"];
  offset_id[make_pair("He3", offset(1, 1))] = name_id["d"];
  offset_id[make_pair("He3", offset(1, 0))] = name_id["t"];
  offset_id[make_pair("He3", offset(0, -1))] = name_id["a"];
  // alpha:
  offset_id[make_pair("a", offset(0, 0))] = name_id["scattering"];
  offset_id[make_pair("a", offset(2, 4))] = name_id["absorption"];
  offset_id[make_pair("a", offset(2, 3))] = name_id["n"];
  offset_id[make_pair("a", offset(2, 2))] = name_id["z_2n"];
  offset_id[make_pair("a", offset(2, 1))] = name_id["z_3n"];
  offset_id[make_pair("a", offset(2, 0))] = name_id["z_4n"];
  offset_id[make_pair("a", offset(1, 3))] = name_id["p"];
  offset_id[make_pair("a", offset(0, 2))] = name_id["z_2p"];
  offset_id[make_pair("a", offset(1, 2))] = name_id["d"];
  offset_id[make_pair("a", offset(1, 1))] = name_id["t"];
  offset_id[make_pair("a", offset(0, 1))] = name_id["He3"];
  // gamma:
  offset_id[make_pair("gamma", offset(0, -1))] = name_id["n"];
  offset_id[make_pair("gamma", offset(0, -2))] = name_id["z_2n"];
  offset_id[make_pair("gamma", offset(0, -3))] = name_id["z_3n"];
  offset_id[make_pair("gamma", offset(0, -4))] = name_id["z_4n"];
  offset_id[make_pair("gamma", offset(-1, -1))] = name_id["p"];
  offset_id[make_pair("gamma", offset(-2, -2))] = name_id["z_2p"];
  offset_id[make_pair("gamma", offset(-1, -2))] = name_id["d"];
  offset_id[make_pair("gamma", offset(-1, -3))] = name_id["t"];
  offset_id[make_pair("gamma", offset(-2, -3))] = name_id["He3"];
  offset_id[make_pair("gamma", offset(-2, -4))] = name_id["a"];
  // decay:
  offset_id[make_pair("decay", offset(0, -1))] = name_id["n"];
  offset_id[make_pair("decay", offset(0, -2))] = name_id["z_2n"];
  offset_id[make_pair("decay", offset(0, -3))] = name_id["z_3n"];
  offset_id[make_pair("decay", offset(0, -4))] = name_id["z_4n"];
  offset_id[make_pair("decay", offset(-1, -1))] = name_id["p"];
  offset_id[make_pair("decay", offset(-2, -2))] = name_id["z_2p"];
  offset_id[make_pair("decay", offset(-1, -2))] = name_id["d"];
  offset_id[make_pair("decay", offset(-1, -3))] = name_id["t"];
  offset_id[make_pair("decay", offset(-2, -3))] = name_id["He3"];
  offset_id[make_pair("decay", offset(-2, -4))] = name_id["a"];
  offset_id[make_pair("decay", offset(1, 0))] = name_id["bminus"];
  offset_id[make_pair("decay", offset(-1, 0))] = name_id["bplus"];
  offset_id[make_pair("decay", offset(1, -1))] = name_id["bminus_n"];
  offset_id[make_pair("decay", offset(-1, -4))] = name_id["bminus_a"];
  offset_id[make_pair("decay", offset(0, 0))] = name_id["it"];
  offset_id[make_pair("decay", offset(-3, -4))] = name_id["bplus_a"];
  offset_id[make_pair("decay", offset(-2, -1))] = name_id["bplus_p"];
  offset_id[make_pair("decay", offset(1, -2))] = name_id["bminus_2n"];
  offset_id[make_pair("decay", offset(1, -3))] = name_id["bminus_3n"];
  offset_id[make_pair("decay", offset(1, -4))] = name_id["bminus_4n"];
  offset_id[make_pair("decay", offset(-3, -2))] = name_id["bplus_2p"];
  offset_id[make_pair("decay", offset(-4, -3))] = name_id["bplus_3p"];
  offset_id[make_pair("decay", offset(2, 0))] = name_id["decay_2bminus"];
  offset_id[make_pair("decay", offset(-2, 0))] = name_id["decay_2bplus"];
  offset_id[make_pair("decay", offset(-6, -14))] = name_id["decay_14c"];
  
  // pre-loaded child offsets
  std::map<std::pair<std::string, int>, unsigned int>::iterator ioffid;
  for (ioffid = offset_id.begin(); ioffid != offset_id.end(); ioffid++) {
    id_offset[make_pair(ioffid->first.first, ioffid->second)] = ioffid->first.second;
  }
  // neutrons:
  id_offset[make_pair("n", name_id["nHe3"])] = offset(-2, -3);
  id_offset[make_pair("n", name_id["nHe3_1"])] = offset(-2, -3, 2);
  id_offset[make_pair("n", name_id["nHe3_2"])] = offset(-2, -3, 2);
  id_offset[make_pair("n", name_id["z_3np"])] = offset(-1, -3);
  id_offset[make_pair("n", name_id["nd"])] = offset(-1, -2);
  id_offset[make_pair("n", name_id["nd_1"])] = offset(-1, -2, 1);
  id_offset[make_pair("n", name_id["nd_2"])] = offset(-1, -2, 2);
  id_offset[make_pair("n", name_id["np"])] = offset(-1, -1);
  id_offset[make_pair("n", name_id["np_1"])] = offset(-1, -1, 1);
  id_offset[make_pair("n", name_id["np_2"])] = offset(-1, -1, 2);
  id_offset[make_pair("n", name_id["n"])] = offset(0, 0);
  id_offset[make_pair("n", name_id["gamma"])] = offset(0, 1);
  // decay:
  id_offset[make_pair("decay", name_id["bminus_p"])] = offset(0, -1);
  id_offset[make_pair("decay", name_id["ec_2p"])] = offset(-3, -2);
  id_offset[make_pair("decay", name_id["ec"])] = offset(-1, 0);
  id_offset[make_pair("decay", name_id["ec_bplus"])] = offset(-1, 0);
  id_offset[make_pair("decay", name_id["ecp"])] = offset(-2, -1);
  id_offset[make_pair("decay", name_id["eca"])] = offset(-3, -4);
  id_offset[make_pair("decay", name_id["decay_2ec"])] = offset(-2, 0);
  return NULL;
}
void * pyne::rxname::_ = pyne::rxname::_fill_maps();


unsigned int pyne::rxname::hash(std::string s) {
  return pyne::rxname::hash(s.c_str());
}

unsigned int pyne::rxname::hash(const char * s) {
  // Modified from http://cboard.cprogramming.com/tech-board/114650-string-hashing-algorithm.html#post853145
  // starting from h = 32*2^5 > 1000, rather than 0, to reserve space for MT numbers
  int c;
  unsigned int h = 32; 
  while((c = *s++)) {
    h = ((h << 5) + h) ^ c;
  }
  return h;
}


// ************************
// *** name functions *****
// ************************

std::string pyne::rxname::name(char * s) {
  return pyne::rxname::name(std::string(s));
}

std::string pyne::rxname::name(std::string s) {
  if (0 < names.count(s))
    return s;
  if (0 < altnames.count(s))
    return id_name[altnames[s]];
  // see if id in string form
  int i = 0;
  int I = s.length();
  int found = 0;
  while(0 <= found && i < I) {
    found = pyne::digits.find(s[i]);
    i++;
  }
  if (0<=found)
    return pyne::rxname::name(atoi(s.c_str()));
  // dead...
  throw NotAReaction(s, "???");
}


std::string pyne::rxname::name(int n) {
  return pyne::rxname::name((unsigned int) n);
}

std::string pyne::rxname::name(unsigned int n) {
  if (0 < id_name.count(n))
    return id_name[n];
  if (0 < mt_id.count(n))
    return id_name[mt_id[n]];
  throw NotAReaction(n, "???");
}


std::string pyne::rxname::name(int from_nuc, int to_nuc, std::string z) {
  // This assumes nuclides are in id form
  std::pair<std::string, int> key = std::make_pair(z, to_nuc - from_nuc);
  if (0 == offset_id.count(key))
    throw IndeterminateReactionForm("z=" + z + ", " + pyne::to_str(from_nuc) + \
                                    ", " + pyne::to_str(to_nuc), "???");
  return id_name[offset_id[key]];
}

std::string pyne::rxname::name(std::string from_nuc, int to_nuc, std::string z) {
  return pyne::rxname::name(pyne::nucname::id(from_nuc), 
                            pyne::nucname::id(to_nuc), z);
}

std::string pyne::rxname::name(int from_nuc, std::string to_nuc, std::string z) {
  return pyne::rxname::name(pyne::nucname::id(from_nuc), 
                            pyne::nucname::id(to_nuc), z);
}

std::string pyne::rxname::name(std::string from_nuc, std::string to_nuc, std::string z) {
  return pyne::rxname::name(pyne::nucname::id(from_nuc), 
                            pyne::nucname::id(to_nuc), z);
}



// **********************
// *** id functions *****
// **********************
unsigned int pyne::rxname::id(int x) {
  return name_id[pyne::rxname::name(x)];
}
  
unsigned int pyne::rxname::id(unsigned int x) {
  if (0 < id_name.count(x))
    return x;
  if (0 < mt_id.count(x))
    return mt_id[x];
  return name_id[pyne::rxname::name(x)];
}
  
unsigned int pyne::rxname::id(const char * x) {
  return name_id[pyne::rxname::name(x)];
}
  
unsigned int pyne::rxname::id(std::string x) {
  if (0 < names.count(x))
    return name_id[x];
  if (0 < altnames.count(x))
    return altnames[x];
  return name_id[pyne::rxname::name(x)];  
}
  
unsigned int pyne::rxname::id(int from_nuc, int to_nuc, std::string z) {
  // This assumes nuclides are in id form
  std::pair<std::string, int> key = std::make_pair(z, to_nuc - from_nuc);
  if (0 == offset_id.count(key))
    throw IndeterminateReactionForm("z=" + z + ", " + pyne::to_str(from_nuc) + \
                                    ", " + pyne::to_str(to_nuc), "???");
  return offset_id[key];
}
  
unsigned int pyne::rxname::id(int from_nuc, std::string to_nuc, std::string z) {
  return pyne::rxname::id(pyne::nucname::id(from_nuc), 
                          pyne::nucname::id(to_nuc), z);
}
  
unsigned int pyne::rxname::id(std::string from_nuc, int to_nuc, std::string z) {
  return pyne::rxname::id(pyne::nucname::id(from_nuc), 
                          pyne::nucname::id(to_nuc), z);
}
  
unsigned int pyne::rxname::id(std::string from_nuc, std::string to_nuc, std::string z) {
  return pyne::rxname::id(pyne::nucname::id(from_nuc), 
                          pyne::nucname::id(to_nuc), z);
}


// **********************
// *** MT functions *****
// **********************
unsigned int pyne::rxname::mt(int x) {
  unsigned int rxid = pyne::rxname::id(x);
  if (0 == id_mt.count(rxid))
    throw NotAReaction();
  return id_mt[rxid];
}
  
unsigned int pyne::rxname::mt(unsigned int x) {
  unsigned int rxid = pyne::rxname::id(x);
  if (0 == id_mt.count(rxid))
    throw NotAReaction();
  return id_mt[rxid];
}
  
unsigned int pyne::rxname::mt(char * x) {
  unsigned int rxid = pyne::rxname::id(x);
  if (0 == id_mt.count(rxid))
    throw NotAReaction();
  return id_mt[rxid];
}
  
unsigned int pyne::rxname::mt(std::string x) {
  unsigned int rxid = pyne::rxname::id(x);
  if (0 == id_mt.count(rxid))
    throw NotAReaction();
  return id_mt[rxid];
}
  
unsigned int pyne::rxname::mt(int from_nuc, int to_nuc, std::string z) {
  unsigned int rxid = pyne::rxname::id(from_nuc, to_nuc, z);
  if (0 == id_mt.count(rxid))
    throw NotAReaction();
  return id_mt[rxid];
}
  
unsigned int pyne::rxname::mt(int from_nuc, std::string to_nuc, std::string z) {
  unsigned int rxid = pyne::rxname::id(from_nuc, to_nuc, z);
  if (0 == id_mt.count(rxid))
    throw NotAReaction();
  return id_mt[rxid];
}
  
unsigned int pyne::rxname::mt(std::string from_nuc, int to_nuc, std::string z) {
  unsigned int rxid = pyne::rxname::id(from_nuc, to_nuc, z);
  if (0 == id_mt.count(rxid))
    throw NotAReaction();
  return id_mt[rxid];
}
  
unsigned int pyne::rxname::mt(std::string from_nuc, std::string to_nuc, std::string z) {
  unsigned int rxid = pyne::rxname::id(from_nuc, to_nuc, z);
  if (0 == id_mt.count(rxid))
    throw NotAReaction();
  return id_mt[rxid];
}


// ***********************
// *** label functions ***
// ***********************
std::string pyne::rxname::label(int x) {
  return labels[pyne::rxname::id(x)];
}
  
std::string pyne::rxname::label(unsigned int x) {
  return labels[pyne::rxname::id(x)];
}
  
std::string pyne::rxname::label(char * x) {
  return labels[pyne::rxname::id(x)];
}
  
std::string pyne::rxname::label(std::string x) {
  return labels[pyne::rxname::id(x)];
}
  
std::string pyne::rxname::label(int from_nuc, int to_nuc, std::string z) {
  return labels[pyne::rxname::id(from_nuc, to_nuc, z)];
}
  
std::string pyne::rxname::label(int from_nuc, std::string to_nuc, std::string z) {
  return labels[pyne::rxname::id(from_nuc, to_nuc, z)];
}
  
std::string pyne::rxname::label(std::string from_nuc, int to_nuc, std::string z) {
  return labels[pyne::rxname::id(from_nuc, to_nuc, z)];
}
  
std::string pyne::rxname::label(std::string from_nuc, std::string to_nuc, std::string z) {
  return labels[pyne::rxname::id(from_nuc, to_nuc, z)];
}


// *********************
// *** doc functions ***
// *********************
std::string pyne::rxname::doc(int x) {
  return docs[pyne::rxname::id(x)];
}
  
std::string pyne::rxname::doc(unsigned int x) {
  return docs[pyne::rxname::id(x)];
}
  
std::string pyne::rxname::doc(char * x) {
  return docs[pyne::rxname::id(x)];
}
  
std::string pyne::rxname::doc(std::string x) {
  return docs[pyne::rxname::id(x)];
}
  
std::string pyne::rxname::doc(int from_nuc, int to_nuc, std::string z) {
  return docs[pyne::rxname::id(from_nuc, to_nuc, z)];
}
  
std::string pyne::rxname::doc(int from_nuc, std::string to_nuc, std::string z) {
  return docs[pyne::rxname::id(from_nuc, to_nuc, z)];
}
  
std::string pyne::rxname::doc(std::string from_nuc, int to_nuc, std::string z) {
  return docs[pyne::rxname::id(from_nuc, to_nuc, z)];
}
  
std::string pyne::rxname::doc(std::string from_nuc, std::string to_nuc, std::string z) {
  return docs[pyne::rxname::id(from_nuc, to_nuc, z)];
}


// ***********************
// *** child functions ***
// ***********************

int pyne::rxname::child(int nuc, unsigned int rx, std::string z) {
  // This assumes nuclides are in id form
  std::pair<std::string, unsigned int> key = std::make_pair(z, rx);
  if (0 == id_offset.count(key))
    throw IndeterminateReactionForm("z=" + z + ", rx=" + pyne::to_str(rx), "???");
  int to_nuc = nuc + id_offset[key];
  if (!pyne::nucname::isnuclide(to_nuc))
    throw pyne::nucname::NotANuclide(nuc, to_nuc);
  return to_nuc;
}

int pyne::rxname::child(int nuc, std::string rx, std::string z) {
  return child(nuc, id(rx), z);
}

int pyne::rxname::child(std::string nuc, unsigned int rx, std::string z) {
  return child(pyne::nucname::id(nuc), rx, z);
}

int pyne::rxname::child(std::string nuc, std::string rx, std::string z) {
  return child(pyne::nucname::id(nuc), id(rx), z);
}

// ************************
// *** parent functions ***
// ************************

int pyne::rxname::parent(int nuc, unsigned int rx, std::string z) {
  // This assumes nuclides are in id form
  std::pair<std::string, unsigned int> key = std::make_pair(z, rx);
  if (0 == id_offset.count(key))
    throw IndeterminateReactionForm("z=" + z + ", rx=" + pyne::to_str(rx), "???");
  int from_nuc = nuc - id_offset[key];
  if (!pyne::nucname::isnuclide(from_nuc))
    throw pyne::nucname::NotANuclide(from_nuc, nuc);
  return from_nuc;
}

int pyne::rxname::parent(int nuc, std::string rx, std::string z) {
  return parent(nuc, id(rx), z);
}

int pyne::rxname::parent(std::string nuc, unsigned int rx, std::string z) {
  return parent(pyne::nucname::id(nuc), rx, z);
}

int pyne::rxname::parent(std::string nuc, std::string rx, std::string z) {
  return parent(pyne::nucname::id(nuc), id(rx), z);
}

//
// end of src/rxname.cpp
//


//
// start of src/_atomic_data.cpp
//
// Implements basic nuclear data functions.
#ifndef PYNE_IS_AMALGAMATED
  #include "atomic_data.h"
  #include "nucname.h"
#endif

void pyne::_load_atomic_mass_map_memory() {
  // header version of atomic weight table data
  //see if the data table is already loaded
  if(!atomic_mass_map.empty()) {
    return;
  } else {
    _insert_atomic_mass_map();
  }
  //see if the data table is already loaded
  if(!natural_abund_map.empty()) {
    return;
  } else {
    _insert_abund_map();
  }

  // calculate the atomic_masses of the elements
  std::map<int,double> :: iterator it;

  for (int z=1; z<= 92; z++) {
    // loop through the natural abundance map
    double element_atomic_weight = 0.0;
    for (it = natural_abund_map.begin(); it != natural_abund_map.end(); ++it){
      // if the atomic number of the abudance matches the
      // that of index
      if(pyne::nucname::znum(it->first) == z) {
  // take atomic abundance and multiply by mass
  // to get the mass of that nuclide / 100 since abundance is in %
  element_atomic_weight += (it->second*atomic_mass_map[it->first]/100.0);
      }
    }
    // insert the abundance of the element into the list
    atomic_mass_map[z*10000000] = element_atomic_weight;
  }
}

void pyne::_insert_atomic_mass_map() {
  atomic_mass_map[10010000] = 1.00782503223;
  atomic_mass_map[10020000] = 2.01410177812;
  atomic_mass_map[10030000] = 3.01604927791;
  atomic_mass_map[20030000] = 3.01602932008;
  atomic_mass_map[30030000] = 3.030775;
  atomic_mass_map[10040000] = 4.026431864;
  atomic_mass_map[20040000] = 4.00260325413;
  atomic_mass_map[30040000] = 4.027185559;
  atomic_mass_map[10050000] = 5.035311489;
  atomic_mass_map[20050000] = 5.012057224;
  atomic_mass_map[30050000] = 5.0125378;
  atomic_mass_map[40050000] = 5.03987;
  atomic_mass_map[10060000] = 6.044955433;
  atomic_mass_map[20060000] = 6.018885891;
  atomic_mass_map[30060000] = 6.01512288742;
  atomic_mass_map[40060000] = 6.019726411;
  atomic_mass_map[50060000] = 6.0508;
  atomic_mass_map[10070000] = 7.052749;
  atomic_mass_map[20070000] = 7.027990654;
  atomic_mass_map[30070000] = 7.01600343659;
  atomic_mass_map[40070000] = 7.016928717;
  atomic_mass_map[50070000] = 7.029712;
  atomic_mass_map[20080000] = 8.03393439;
  atomic_mass_map[30080000] = 8.022486246;
  atomic_mass_map[40080000] = 8.005305102;
  atomic_mass_map[50080000] = 8.024607326;
  atomic_mass_map[60080000] = 8.037643042;
  atomic_mass_map[20090000] = 9.043946494;
  atomic_mass_map[30090000] = 9.026790191;
  atomic_mass_map[40090000] = 9.012183065;
  atomic_mass_map[50090000] = 9.013329649;
  atomic_mass_map[60090000] = 9.031037204;
  atomic_mass_map[20100000] = 10.052788655;
  atomic_mass_map[30100000] = 10.035483453;
  atomic_mass_map[40100000] = 10.013534695;
  atomic_mass_map[50100000] = 10.012936949;
  atomic_mass_map[60100000] = 10.016853307;
  atomic_mass_map[70100000] = 10.04165363;
  atomic_mass_map[30110000] = 11.043723581;
  atomic_mass_map[40110000] = 11.021661081;
  atomic_mass_map[50110000] = 11.009305355;
  atomic_mass_map[60110000] = 11.011433563;
  atomic_mass_map[70110000] = 11.026091034;
  atomic_mass_map[30120000] = 12.052517322;
  atomic_mass_map[40120000] = 12.026922082;
  atomic_mass_map[50120000] = 12.014352658;
  atomic_mass_map[60120000] = 12.0;
  atomic_mass_map[70120000] = 12.018613187;
  atomic_mass_map[80120000] = 12.034261836;
  atomic_mass_map[30130000] = 13.062631523;
  atomic_mass_map[40130000] = 13.036134506;
  atomic_mass_map[50130000] = 13.017780166;
  atomic_mass_map[60130000] = 13.0033548351;
  atomic_mass_map[70130000] = 13.005738609;
  atomic_mass_map[80130000] = 13.024815446;
  atomic_mass_map[40140000] = 14.04289292;
  atomic_mass_map[50140000] = 14.025404012;
  atomic_mass_map[60140000] = 14.0032419884;
  atomic_mass_map[70140000] = 14.0030740044;
  atomic_mass_map[80140000] = 14.008596359;
  atomic_mass_map[90140000] = 14.034315207;
  atomic_mass_map[40150000] = 15.05342;
  atomic_mass_map[50150000] = 15.03108768;
  atomic_mass_map[60150000] = 15.010599256;
  atomic_mass_map[70150000] = 15.0001088989;
  atomic_mass_map[80150000] = 15.003065618;
  atomic_mass_map[90150000] = 15.018042853;
  atomic_mass_map[40160000] = 16.061672036;
  atomic_mass_map[50160000] = 16.039841663;
  atomic_mass_map[60160000] = 16.014701252;
  atomic_mass_map[70160000] = 16.006101925;
  atomic_mass_map[80160000] = 15.9949146196;
  atomic_mass_map[90160000] = 16.011465725;
  atomic_mass_map[100160000] = 16.025750197;
  atomic_mass_map[50170000] = 17.046989906;
  atomic_mass_map[60170000] = 17.02257747;
  atomic_mass_map[70170000] = 17.008448873;
  atomic_mass_map[80170000] = 16.9991317565;
  atomic_mass_map[90170000] = 17.002095237;
  atomic_mass_map[100170000] = 17.017713963;
  atomic_mass_map[50180000] = 18.055660189;
  atomic_mass_map[60180000] = 18.026750708;
  atomic_mass_map[70180000] = 18.014077565;
  atomic_mass_map[80180000] = 17.9991596129;
  atomic_mass_map[90180000] = 18.000937325;
  atomic_mass_map[100180000] = 18.005708703;
  atomic_mass_map[110180000] = 18.026878252;
  atomic_mass_map[50190000] = 19.0631;
  atomic_mass_map[60190000] = 19.034796372;
  atomic_mass_map[70190000] = 19.017021603;
  atomic_mass_map[80190000] = 19.00357797;
  atomic_mass_map[90190000] = 18.9984031627;
  atomic_mass_map[100190000] = 19.001880907;
  atomic_mass_map[110190000] = 19.013880272;
  atomic_mass_map[120190000] = 19.034169186;
  atomic_mass_map[50200000] = 20.07207;
  atomic_mass_map[60200000] = 20.040319754;
  atomic_mass_map[70200000] = 20.023365807;
  atomic_mass_map[80200000] = 20.004075354;
  atomic_mass_map[90200000] = 19.999981252;
  atomic_mass_map[100200000] = 19.9924401762;
  atomic_mass_map[110200000] = 20.007354426;
  atomic_mass_map[120200000] = 20.018850004;
  atomic_mass_map[50210000] = 21.08129;
  atomic_mass_map[60210000] = 21.049;
  atomic_mass_map[70210000] = 21.02710824;
  atomic_mass_map[80210000] = 21.008654813;
  atomic_mass_map[90210000] = 20.999948889;
  atomic_mass_map[100210000] = 20.993846685;
  atomic_mass_map[110210000] = 20.997654695;
  atomic_mass_map[120210000] = 21.01171614;
  atomic_mass_map[130210000] = 21.028975;
  atomic_mass_map[60220000] = 22.057531496;
  atomic_mass_map[70220000] = 22.034394934;
  atomic_mass_map[80220000] = 22.009966057;
  atomic_mass_map[90220000] = 22.002998813;
  atomic_mass_map[100220000] = 21.991385114;
  atomic_mass_map[110220000] = 21.994437411;
  atomic_mass_map[120220000] = 21.999570648;
  atomic_mass_map[130220000] = 22.01954;
  atomic_mass_map[140220000] = 22.03579;
  atomic_mass_map[60230000] = 23.06889;
  atomic_mass_map[70230000] = 23.04114;
  atomic_mass_map[80230000] = 23.015695922;
  atomic_mass_map[90230000] = 23.003556696;
  atomic_mass_map[100230000] = 22.994466905;
  atomic_mass_map[110230000] = 22.989769282;
  atomic_mass_map[120230000] = 22.994124208;
  atomic_mass_map[130230000] = 23.007244351;
  atomic_mass_map[140230000] = 23.02544;
  atomic_mass_map[70240000] = 24.05039;
  atomic_mass_map[80240000] = 24.019861;
  atomic_mass_map[90240000] = 24.008115485;
  atomic_mass_map[100240000] = 23.99361065;
  atomic_mass_map[110240000] = 23.99096295;
  atomic_mass_map[120240000] = 23.985041697;
  atomic_mass_map[130240000] = 23.999948883;
  atomic_mass_map[140240000] = 24.011534538;
  atomic_mass_map[150240000] = 24.03577;
  atomic_mass_map[70250000] = 25.0601;
  atomic_mass_map[80250000] = 25.029358986;
  atomic_mass_map[90250000] = 25.012199229;
  atomic_mass_map[100250000] = 24.997788707;
  atomic_mass_map[110250000] = 24.989953969;
  atomic_mass_map[120250000] = 24.985836976;
  atomic_mass_map[130250000] = 24.990428102;
  atomic_mass_map[140250000] = 25.004108808;
  atomic_mass_map[150250000] = 25.02119;
  atomic_mass_map[80260000] = 26.03728745;
  atomic_mass_map[90260000] = 26.020037768;
  atomic_mass_map[100260000] = 26.000514705;
  atomic_mass_map[110260000] = 25.992634649;
  atomic_mass_map[120260000] = 25.982592968;
  atomic_mass_map[130260000] = 25.986891904;
  atomic_mass_map[140260000] = 25.992333845;
  atomic_mass_map[150260000] = 26.01178;
  atomic_mass_map[160260000] = 26.02907;
  atomic_mass_map[80270000] = 27.04772;
  atomic_mass_map[90270000] = 27.026441;
  atomic_mass_map[100270000] = 27.007553268;
  atomic_mass_map[110270000] = 26.994076531;
  atomic_mass_map[120270000] = 26.984340624;
  atomic_mass_map[130270000] = 26.981538531;
  atomic_mass_map[140270000] = 26.986704811;
  atomic_mass_map[150270000] = 26.999224406;
  atomic_mass_map[160270000] = 27.01828;
  atomic_mass_map[80280000] = 28.05591;
  atomic_mass_map[90280000] = 28.035342095;
  atomic_mass_map[100280000] = 28.012121998;
  atomic_mass_map[110280000] = 27.998939;
  atomic_mass_map[120280000] = 27.983876728;
  atomic_mass_map[130280000] = 27.98191021;
  atomic_mass_map[140280000] = 27.9769265347;
  atomic_mass_map[150280000] = 27.992326585;
  atomic_mass_map[160280000] = 28.004372766;
  atomic_mass_map[170280000] = 28.02954;
  atomic_mass_map[90290000] = 29.04254;
  atomic_mass_map[100290000] = 29.019753;
  atomic_mass_map[110290000] = 29.002877073;
  atomic_mass_map[120290000] = 28.988617393;
  atomic_mass_map[130290000] = 28.98045649;
  atomic_mass_map[140290000] = 28.9764946649;
  atomic_mass_map[150290000] = 28.981800794;
  atomic_mass_map[160290000] = 28.996611456;
  atomic_mass_map[170290000] = 29.01478;
  atomic_mass_map[90300000] = 30.05165;
  atomic_mass_map[100300000] = 30.024734;
  atomic_mass_map[110300000] = 30.009097932;
  atomic_mass_map[120300000] = 29.990462926;
  atomic_mass_map[130300000] = 29.98296022;
  atomic_mass_map[140300000] = 29.973770136;
  atomic_mass_map[150300000] = 29.978313753;
  atomic_mass_map[160300000] = 29.984907033;
  atomic_mass_map[170300000] = 30.00477;
  atomic_mass_map[180300000] = 30.02307;
  atomic_mass_map[90310000] = 31.059709;
  atomic_mass_map[100310000] = 31.033087;
  atomic_mass_map[110310000] = 31.013162656;
  atomic_mass_map[120310000] = 30.996648032;
  atomic_mass_map[130310000] = 30.983945171;
  atomic_mass_map[140310000] = 30.975363194;
  atomic_mass_map[150310000] = 30.9737619984;
  atomic_mass_map[160310000] = 30.979557007;
  atomic_mass_map[170310000] = 30.992414203;
  atomic_mass_map[180310000] = 31.012124;
  atomic_mass_map[100320000] = 32.03972;
  atomic_mass_map[110320000] = 32.020193;
  atomic_mass_map[120320000] = 31.999110239;
  atomic_mass_map[130320000] = 31.988085239;
  atomic_mass_map[140320000] = 31.974151539;
  atomic_mass_map[150320000] = 31.973907643;
  atomic_mass_map[160320000] = 31.9720711744;
  atomic_mass_map[170320000] = 31.985684637;
  atomic_mass_map[180320000] = 31.997637826;
  atomic_mass_map[190320000] = 32.02265;
  atomic_mass_map[100330000] = 33.04938;
  atomic_mass_map[110330000] = 33.02573;
  atomic_mass_map[120330000] = 33.005327145;
  atomic_mass_map[130330000] = 32.990908977;
  atomic_mass_map[140330000] = 32.977976964;
  atomic_mass_map[150330000] = 32.971725694;
  atomic_mass_map[160330000] = 32.9714589098;
  atomic_mass_map[170330000] = 32.977451989;
  atomic_mass_map[180330000] = 32.989925546;
  atomic_mass_map[190330000] = 33.00756;
  atomic_mass_map[100340000] = 34.056728;
  atomic_mass_map[110340000] = 34.03359;
  atomic_mass_map[120340000] = 34.008935481;
  atomic_mass_map[130340000] = 33.996705398;
  atomic_mass_map[140340000] = 33.978575569;
  atomic_mass_map[150340000] = 33.973645886;
  atomic_mass_map[160340000] = 33.967867004;
  atomic_mass_map[170340000] = 33.973762485;
  atomic_mass_map[180340000] = 33.98027009;
  atomic_mass_map[190340000] = 33.99869;
  atomic_mass_map[200340000] = 34.01487;
  atomic_mass_map[110350000] = 35.040623;
  atomic_mass_map[120350000] = 35.01679;
  atomic_mass_map[130350000] = 34.999764;
  atomic_mass_map[140350000] = 34.984583476;
  atomic_mass_map[150350000] = 34.973314062;
  atomic_mass_map[160350000] = 34.96903231;
  atomic_mass_map[170350000] = 34.968852682;
  atomic_mass_map[180350000] = 34.975257586;
  atomic_mass_map[190350000] = 34.988005407;
  atomic_mass_map[200350000] = 35.00514;
  atomic_mass_map[110360000] = 36.049288;
  atomic_mass_map[120360000] = 36.021879;
  atomic_mass_map[130360000] = 36.006388;
  atomic_mass_map[140360000] = 35.986695219;
  atomic_mass_map[150360000] = 35.978259625;
  atomic_mass_map[160360000] = 35.967080706;
  atomic_mass_map[170360000] = 35.968306809;
  atomic_mass_map[180360000] = 35.967545105;
  atomic_mass_map[190360000] = 35.98130201;
  atomic_mass_map[200360000] = 35.993074404;
  atomic_mass_map[210360000] = 36.01648;
  atomic_mass_map[110370000] = 37.057051;
  atomic_mass_map[120370000] = 37.03037;
  atomic_mass_map[130370000] = 37.010531;
  atomic_mass_map[140370000] = 36.99292074;
  atomic_mass_map[150370000] = 36.979606841;
  atomic_mass_map[160370000] = 36.971125514;
  atomic_mass_map[170370000] = 36.965902602;
  atomic_mass_map[180370000] = 36.966776331;
  atomic_mass_map[190370000] = 36.973375889;
  atomic_mass_map[200370000] = 36.985897852;
  atomic_mass_map[210370000] = 37.00374;
  atomic_mass_map[120380000] = 38.03658;
  atomic_mass_map[130380000] = 38.017402;
  atomic_mass_map[140380000] = 37.995523;
  atomic_mass_map[150380000] = 37.984251583;
  atomic_mass_map[160380000] = 37.971163328;
  atomic_mass_map[170380000] = 37.968010436;
  atomic_mass_map[180380000] = 37.962732106;
  atomic_mass_map[190380000] = 37.969081117;
  atomic_mass_map[200380000] = 37.976319224;
  atomic_mass_map[210380000] = 37.99512;
  atomic_mass_map[220380000] = 38.01145;
  atomic_mass_map[120390000] = 39.045384;
  atomic_mass_map[130390000] = 39.02254;
  atomic_mass_map[140390000] = 39.002491;
  atomic_mass_map[150390000] = 38.986227208;
  atomic_mass_map[160390000] = 38.975134197;
  atomic_mass_map[170390000] = 38.968008176;
  atomic_mass_map[180390000] = 38.964313038;
  atomic_mass_map[190390000] = 38.9637064864;
  atomic_mass_map[200390000] = 38.970710813;
  atomic_mass_map[210390000] = 38.984784968;
  atomic_mass_map[220390000] = 39.00236;
  atomic_mass_map[120400000] = 40.05218;
  atomic_mass_map[130400000] = 40.03003;
  atomic_mass_map[140400000] = 40.005829;
  atomic_mass_map[150400000] = 39.991331748;
  atomic_mass_map[160400000] = 39.975482562;
  atomic_mass_map[170400000] = 39.970415469;
  atomic_mass_map[180400000] = 39.9623831237;
  atomic_mass_map[190400000] = 39.963998166;
  atomic_mass_map[200400000] = 39.962590863;
  atomic_mass_map[210400000] = 39.977967291;
  atomic_mass_map[220400000] = 39.990498719;
  atomic_mass_map[230400000] = 40.01276;
  atomic_mass_map[130410000] = 41.03638;
  atomic_mass_map[140410000] = 41.013011;
  atomic_mass_map[150410000] = 40.994654;
  atomic_mass_map[160410000] = 40.979593451;
  atomic_mass_map[170410000] = 40.970684525;
  atomic_mass_map[180410000] = 40.96450057;
  atomic_mass_map[190410000] = 40.9618252579;
  atomic_mass_map[200410000] = 40.962277924;
  atomic_mass_map[210410000] = 40.969251105;
  atomic_mass_map[220410000] = 40.983148;
  atomic_mass_map[230410000] = 41.00021;
  atomic_mass_map[130420000] = 42.04384;
  atomic_mass_map[140420000] = 42.01778;
  atomic_mass_map[150420000] = 42.001084;
  atomic_mass_map[160420000] = 41.9810651;
  atomic_mass_map[170420000] = 41.973254804;
  atomic_mass_map[180420000] = 41.963045736;
  atomic_mass_map[190420000] = 41.962402306;
  atomic_mass_map[200420000] = 41.95861783;
  atomic_mass_map[210420000] = 41.965516532;
  atomic_mass_map[220420000] = 41.973049034;
  atomic_mass_map[230420000] = 41.99182;
  atomic_mass_map[240420000] = 42.0067;
  atomic_mass_map[130430000] = 43.05147;
  atomic_mass_map[140430000] = 43.0248;
  atomic_mass_map[150430000] = 43.005024;
  atomic_mass_map[160430000] = 42.986907635;
  atomic_mass_map[170430000] = 42.973888584;
  atomic_mass_map[180430000] = 42.965636055;
  atomic_mass_map[190430000] = 42.960734702;
  atomic_mass_map[200430000] = 42.958766438;
  atomic_mass_map[210430000] = 42.961150474;
  atomic_mass_map[220430000] = 42.96852252;
  atomic_mass_map[230430000] = 42.980766;
  atomic_mass_map[240430000] = 42.99753;
  atomic_mass_map[140440000] = 44.03061;
  atomic_mass_map[150440000] = 44.01121;
  atomic_mass_map[160440000] = 43.990118848;
  atomic_mass_map[170440000] = 43.977874543;
  atomic_mass_map[180440000] = 43.964923815;
  atomic_mass_map[190440000] = 43.961586985;
  atomic_mass_map[200440000] = 43.955481561;
  atomic_mass_map[210440000] = 43.959402875;
  atomic_mass_map[220440000] = 43.959689949;
  atomic_mass_map[230440000] = 43.97411;
  atomic_mass_map[240440000] = 43.98536;
  atomic_mass_map[250440000] = 44.00715;
  atomic_mass_map[140450000] = 45.03995;
  atomic_mass_map[150450000] = 45.01645;
  atomic_mass_map[160450000] = 44.995717;
  atomic_mass_map[170450000] = 44.98029;
  atomic_mass_map[180450000] = 44.968039733;
  atomic_mass_map[190450000] = 44.960691493;
  atomic_mass_map[200450000] = 44.95618635;
  atomic_mass_map[210450000] = 44.955908275;
  atomic_mass_map[220450000] = 44.958121983;
  atomic_mass_map[230450000] = 44.96577482;
  atomic_mass_map[240450000] = 44.97905;
  atomic_mass_map[250450000] = 44.99449;
  atomic_mass_map[260450000] = 45.014419;
  atomic_mass_map[150460000] = 46.02446;
  atomic_mass_map[160460000] = 46.00004;
  atomic_mass_map[170460000] = 45.985174;
  atomic_mass_map[180460000] = 45.968082712;
  atomic_mass_map[190460000] = 45.961981586;
  atomic_mass_map[200460000] = 45.953689023;
  atomic_mass_map[210460000] = 45.955168257;
  atomic_mass_map[220460000] = 45.952627718;
  atomic_mass_map[230460000] = 45.960198775;
  atomic_mass_map[240460000] = 45.968358861;
  atomic_mass_map[250460000] = 45.98609;
  atomic_mass_map[260460000] = 46.00063;
  atomic_mass_map[150470000] = 47.03139;
  atomic_mass_map[160470000] = 47.00795;
  atomic_mass_map[170470000] = 46.98916;
  atomic_mass_map[180470000] = 46.972934865;
  atomic_mass_map[190470000] = 46.961661614;
  atomic_mass_map[200470000] = 46.95454243;
  atomic_mass_map[210470000] = 46.95240374;
  atomic_mass_map[220470000] = 46.951758787;
  atomic_mass_map[230470000] = 46.954904914;
  atomic_mass_map[240470000] = 46.962897359;
  atomic_mass_map[250470000] = 46.975775;
  atomic_mass_map[260470000] = 46.99185;
  atomic_mass_map[270470000] = 47.01057;
  atomic_mass_map[160480000] = 48.0137;
  atomic_mass_map[170480000] = 47.99564;
  atomic_mass_map[180480000] = 47.97591;
  atomic_mass_map[190480000] = 47.965341186;
  atomic_mass_map[200480000] = 47.952522765;
  atomic_mass_map[210480000] = 47.952223611;
  atomic_mass_map[220480000] = 47.947941979;
  atomic_mass_map[230480000] = 47.952252223;
  atomic_mass_map[240480000] = 47.954029061;
  atomic_mass_map[250480000] = 47.96852;
  atomic_mass_map[260480000] = 47.98023;
  atomic_mass_map[270480000] = 48.00093;
  atomic_mass_map[280480000] = 48.017688;
  atomic_mass_map[160490000] = 49.022762;
  atomic_mass_map[170490000] = 49.00123;
  atomic_mass_map[180490000] = 48.9819;
  atomic_mass_map[190490000] = 48.968210755;
  atomic_mass_map[200490000] = 48.955662736;
  atomic_mass_map[210490000] = 48.950014629;
  atomic_mass_map[220490000] = 48.947865676;
  atomic_mass_map[230490000] = 48.948511795;
  atomic_mass_map[240490000] = 48.951333349;
  atomic_mass_map[250490000] = 48.959595297;
  atomic_mass_map[260490000] = 48.973429;
  atomic_mass_map[270490000] = 48.98891;
  atomic_mass_map[280490000] = 49.0077;
  atomic_mass_map[170500000] = 50.00905;
  atomic_mass_map[180500000] = 49.98613;
  atomic_mass_map[190500000] = 49.972380017;
  atomic_mass_map[200500000] = 49.957499217;
  atomic_mass_map[210500000] = 49.952176274;
  atomic_mass_map[220500000] = 49.944786889;
  atomic_mass_map[230500000] = 49.947156014;
  atomic_mass_map[240500000] = 49.946041833;
  atomic_mass_map[250500000] = 49.954237781;
  atomic_mass_map[260500000] = 49.962974929;
  atomic_mass_map[270500000] = 49.98091;
  atomic_mass_map[280500000] = 49.99474;
  atomic_mass_map[170510000] = 51.01554;
  atomic_mass_map[180510000] = 50.9937;
  atomic_mass_map[190510000] = 50.975828036;
  atomic_mass_map[200510000] = 50.960988981;
  atomic_mass_map[210510000] = 50.953591956;
  atomic_mass_map[220510000] = 50.946610651;
  atomic_mass_map[230510000] = 50.943957036;
  atomic_mass_map[240510000] = 50.944765018;
  atomic_mass_map[250510000] = 50.948208475;
  atomic_mass_map[260510000] = 50.956841021;
  atomic_mass_map[270510000] = 50.970647;
  atomic_mass_map[280510000] = 50.98611;
  atomic_mass_map[180520000] = 51.99896;
  atomic_mass_map[190520000] = 51.98224;
  atomic_mass_map[200520000] = 51.963217145;
  atomic_mass_map[210520000] = 51.956879479;
  atomic_mass_map[220520000] = 51.946893006;
  atomic_mass_map[230520000] = 51.944773007;
  atomic_mass_map[240520000] = 51.940506231;
  atomic_mass_map[250520000] = 51.945563949;
  atomic_mass_map[260520000] = 51.948113146;
  atomic_mass_map[270520000] = 51.96351;
  atomic_mass_map[280520000] = 51.9748;
  atomic_mass_map[290520000] = 51.99671;
  atomic_mass_map[180530000] = 53.00729;
  atomic_mass_map[190530000] = 52.98746;
  atomic_mass_map[200530000] = 52.96945;
  atomic_mass_map[210530000] = 52.95909;
  atomic_mass_map[220530000] = 52.949725933;
  atomic_mass_map[230530000] = 52.944336741;
  atomic_mass_map[240530000] = 52.940648147;
  atomic_mass_map[250530000] = 52.941288891;
  atomic_mass_map[260530000] = 52.945306428;
  atomic_mass_map[270530000] = 52.954204077;
  atomic_mass_map[280530000] = 52.96819;
  atomic_mass_map[290530000] = 52.98459;
  atomic_mass_map[190540000] = 53.99463;
  atomic_mass_map[200540000] = 53.9734;
  atomic_mass_map[210540000] = 53.96393;
  atomic_mass_map[220540000] = 53.951049547;
  atomic_mass_map[230540000] = 53.946438617;
  atomic_mass_map[240540000] = 53.938879158;
  atomic_mass_map[250540000] = 53.940357615;
  atomic_mass_map[260540000] = 53.939608986;
  atomic_mass_map[270540000] = 53.948459872;
  atomic_mass_map[280540000] = 53.957892463;
  atomic_mass_map[290540000] = 53.97666;
  atomic_mass_map[300540000] = 53.992039;
  atomic_mass_map[190550000] = 55.00076;
  atomic_mass_map[200550000] = 54.9803;
  atomic_mass_map[210550000] = 54.967818892;
  atomic_mass_map[220550000] = 54.955268064;
  atomic_mass_map[230550000] = 54.94724215;
  atomic_mass_map[240550000] = 54.940838434;
  atomic_mass_map[250550000] = 54.93804391;
  atomic_mass_map[260550000] = 54.938291994;
  atomic_mass_map[270550000] = 54.941997202;
  atomic_mass_map[280550000] = 54.951330632;
  atomic_mass_map[290550000] = 54.966038;
  atomic_mass_map[300550000] = 54.98398;
  atomic_mass_map[190560000] = 56.00851;
  atomic_mass_map[200560000] = 55.98508;
  atomic_mass_map[210560000] = 55.97345;
  atomic_mass_map[220560000] = 55.957911353;
  atomic_mass_map[230560000] = 55.95048481;
  atomic_mass_map[240560000] = 55.940653139;
  atomic_mass_map[250560000] = 55.938903691;
  atomic_mass_map[260560000] = 55.934936326;
  atomic_mass_map[270560000] = 55.939838798;
  atomic_mass_map[280560000] = 55.942128549;
  atomic_mass_map[290560000] = 55.95895;
  atomic_mass_map[300560000] = 55.97254;
  atomic_mass_map[310560000] = 55.99536;
  atomic_mass_map[200570000] = 56.99262;
  atomic_mass_map[210570000] = 56.97777;
  atomic_mass_map[220570000] = 56.963641626;
  atomic_mass_map[230570000] = 56.952518869;
  atomic_mass_map[240570000] = 56.943613013;
  atomic_mass_map[250570000] = 56.938286096;
  atomic_mass_map[260570000] = 56.935392841;
  atomic_mass_map[270570000] = 56.936290574;
  atomic_mass_map[280570000] = 56.939792184;
  atomic_mass_map[290570000] = 56.949212498;
  atomic_mass_map[300570000] = 56.96506;
  atomic_mass_map[310570000] = 56.9832;
  atomic_mass_map[200580000] = 57.99794;
  atomic_mass_map[210580000] = 57.98403;
  atomic_mass_map[220580000] = 57.9666;
  atomic_mass_map[230580000] = 57.956715235;
  atomic_mass_map[240580000] = 57.944353129;
  atomic_mass_map[250580000] = 57.940066645;
  atomic_mass_map[260580000] = 57.933274431;
  atomic_mass_map[270580000] = 57.935752073;
  atomic_mass_map[280580000] = 57.935342414;
  atomic_mass_map[290580000] = 57.944533046;
  atomic_mass_map[300580000] = 57.954591062;
  atomic_mass_map[310580000] = 57.97478;
  atomic_mass_map[320580000] = 57.99172;
  atomic_mass_map[210590000] = 58.98894;
  atomic_mass_map[220590000] = 58.97247;
  atomic_mass_map[230590000] = 58.959385659;
  atomic_mass_map[240590000] = 58.948586367;
  atomic_mass_map[250590000] = 58.940391113;
  atomic_mass_map[260590000] = 58.934874338;
  atomic_mass_map[270590000] = 58.933194288;
  atomic_mass_map[280590000] = 58.934346202;
  atomic_mass_map[290590000] = 58.939497482;
  atomic_mass_map[300590000] = 58.949312657;
  atomic_mass_map[310590000] = 58.96353;
  atomic_mass_map[320590000] = 58.98249;
  atomic_mass_map[210600000] = 59.99565;
  atomic_mass_map[220600000] = 59.97603;
  atomic_mass_map[230600000] = 59.96431329;
  atomic_mass_map[240600000] = 59.950076033;
  atomic_mass_map[250600000] = 59.943136576;
  atomic_mass_map[260600000] = 59.9340711;
  atomic_mass_map[270600000] = 59.933816299;
  atomic_mass_map[280600000] = 59.930785885;
  atomic_mass_map[290600000] = 59.937364544;
  atomic_mass_map[300600000] = 59.941842103;
  atomic_mass_map[310600000] = 59.95729;
  atomic_mass_map[320600000] = 59.97036;
  atomic_mass_map[330600000] = 59.99388;
  atomic_mass_map[210610000] = 61.001;
  atomic_mass_map[220610000] = 60.98245;
  atomic_mass_map[230610000] = 60.96725;
  atomic_mass_map[240610000] = 60.954422585;
  atomic_mass_map[250610000] = 60.944452544;
  atomic_mass_map[260610000] = 60.936746244;
  atomic_mass_map[270610000] = 60.93247662;
  atomic_mass_map[280610000] = 60.93105557;
  atomic_mass_map[290610000] = 60.933457612;
  atomic_mass_map[300610000] = 60.939507188;
  atomic_mass_map[310610000] = 60.949398984;
  atomic_mass_map[320610000] = 60.96379;
  atomic_mass_map[330610000] = 60.98112;
  atomic_mass_map[220620000] = 61.98651;
  atomic_mass_map[230620000] = 61.97265;
  atomic_mass_map[240620000] = 61.956097451;
  atomic_mass_map[250620000] = 61.947954;
  atomic_mass_map[260620000] = 61.936791812;
  atomic_mass_map[270620000] = 61.934058809;
  atomic_mass_map[280620000] = 61.928345365;
  atomic_mass_map[290620000] = 61.932595415;
  atomic_mass_map[300620000] = 61.934333971;
  atomic_mass_map[310620000] = 61.944190251;
  atomic_mass_map[320620000] = 61.95502;
  atomic_mass_map[330620000] = 61.97361;
  atomic_mass_map[220630000] = 62.99375;
  atomic_mass_map[230630000] = 62.97639;
  atomic_mass_map[240630000] = 62.961650731;
  atomic_mass_map[250630000] = 62.949664675;
  atomic_mass_map[260630000] = 62.9402727;
  atomic_mass_map[270630000] = 62.933600217;
  atomic_mass_map[280630000] = 62.929669626;
  atomic_mass_map[290630000] = 62.929597723;
  atomic_mass_map[300630000] = 62.933211474;
  atomic_mass_map[310630000] = 62.939294196;
  atomic_mass_map[320630000] = 62.949628;
  atomic_mass_map[330630000] = 62.9639;
  atomic_mass_map[230640000] = 63.98264;
  atomic_mass_map[240640000] = 63.96408;
  atomic_mass_map[250640000] = 63.95384937;
  atomic_mass_map[260640000] = 63.940987763;
  atomic_mass_map[270640000] = 63.935810764;
  atomic_mass_map[280640000] = 63.927966816;
  atomic_mass_map[290640000] = 63.929764342;
  atomic_mass_map[300640000] = 63.929142013;
  atomic_mass_map[310640000] = 63.93684044;
  atomic_mass_map[320640000] = 63.941689913;
  atomic_mass_map[330640000] = 63.957432;
  atomic_mass_map[340640000] = 63.97109;
  atomic_mass_map[230650000] = 64.9875;
  atomic_mass_map[240650000] = 64.96996;
  atomic_mass_map[250650000] = 64.95601975;
  atomic_mass_map[260650000] = 64.945011462;
  atomic_mass_map[270650000] = 64.936462072;
  atomic_mass_map[280650000] = 64.930085173;
  atomic_mass_map[290650000] = 64.927789704;
  atomic_mass_map[300650000] = 64.92924077;
  atomic_mass_map[310650000] = 64.932734588;
  atomic_mass_map[320650000] = 64.939368137;
  atomic_mass_map[330650000] = 64.949611;
  atomic_mass_map[340650000] = 64.9644;
  atomic_mass_map[230660000] = 65.99398;
  atomic_mass_map[240660000] = 65.97366;
  atomic_mass_map[250660000] = 65.960546834;
  atomic_mass_map[260660000] = 65.94624996;
  atomic_mass_map[270660000] = 65.939442945;
  atomic_mass_map[280660000] = 65.929139334;
  atomic_mass_map[290660000] = 65.928869032;
  atomic_mass_map[300660000] = 65.926033809;
  atomic_mass_map[310660000] = 65.931589401;
  atomic_mass_map[320660000] = 65.933862126;
  atomic_mass_map[330660000] = 65.944148779;
  atomic_mass_map[340660000] = 65.95559;
  atomic_mass_map[240670000] = 66.98016;
  atomic_mass_map[250670000] = 66.96424;
  atomic_mass_map[260670000] = 66.950543395;
  atomic_mass_map[270670000] = 66.940609627;
  atomic_mass_map[280670000] = 66.931569414;
  atomic_mass_map[290670000] = 66.927730314;
  atomic_mass_map[300670000] = 66.927127746;
  atomic_mass_map[310670000] = 66.928202547;
  atomic_mass_map[320670000] = 66.932733861;
  atomic_mass_map[330670000] = 66.939251112;
  atomic_mass_map[340670000] = 66.949994;
  atomic_mass_map[350670000] = 66.96465;
  atomic_mass_map[240680000] = 67.98403;
  atomic_mass_map[250680000] = 67.96962;
  atomic_mass_map[260680000] = 67.95295155;
  atomic_mass_map[270680000] = 67.944257589;
  atomic_mass_map[280680000] = 67.931868789;
  atomic_mass_map[290680000] = 67.929610889;
  atomic_mass_map[300680000] = 67.924844554;
  atomic_mass_map[310680000] = 67.927980485;
  atomic_mass_map[320680000] = 67.928095307;
  atomic_mass_map[330680000] = 67.93677413;
  atomic_mass_map[340680000] = 67.941825238;
  atomic_mass_map[350680000] = 67.958732;
  atomic_mass_map[250690000] = 68.97366;
  atomic_mass_map[260690000] = 68.95807;
  atomic_mass_map[270690000] = 68.946141268;
  atomic_mass_map[280690000] = 68.935610269;
  atomic_mass_map[290690000] = 68.929429269;
  atomic_mass_map[300690000] = 68.926550682;
  atomic_mass_map[310690000] = 68.925573541;
  atomic_mass_map[320690000] = 68.927964481;
  atomic_mass_map[330690000] = 68.932246302;
  atomic_mass_map[340690000] = 68.939414847;
  atomic_mass_map[350690000] = 68.950497297;
  atomic_mass_map[360690000] = 68.96518;
  atomic_mass_map[250700000] = 69.97937;
  atomic_mass_map[260700000] = 69.96102;
  atomic_mass_map[270700000] = 69.94963;
  atomic_mass_map[280700000] = 69.936431302;
  atomic_mass_map[290700000] = 69.932392079;
  atomic_mass_map[300700000] = 69.925319208;
  atomic_mass_map[310700000] = 69.926021927;
  atomic_mass_map[320700000] = 69.92424875;
  atomic_mass_map[330700000] = 69.930926195;
  atomic_mass_map[340700000] = 69.933515523;
  atomic_mass_map[350700000] = 69.944792323;
  atomic_mass_map[360700000] = 69.95604;
  atomic_mass_map[250710000] = 70.98368;
  atomic_mass_map[260710000] = 70.96672;
  atomic_mass_map[270710000] = 70.952366923;
  atomic_mass_map[280710000] = 70.940518964;
  atomic_mass_map[290710000] = 70.932676833;
  atomic_mass_map[300710000] = 70.927719582;
  atomic_mass_map[310710000] = 70.924702577;
  atomic_mass_map[320710000] = 70.924952327;
  atomic_mass_map[330710000] = 70.927113801;
  atomic_mass_map[340710000] = 70.932209433;
  atomic_mass_map[350710000] = 70.939342155;
  atomic_mass_map[360710000] = 70.950265696;
  atomic_mass_map[370710000] = 70.96532;
  atomic_mass_map[260720000] = 71.96983;
  atomic_mass_map[270720000] = 71.95729;
  atomic_mass_map[280720000] = 71.941785926;
  atomic_mass_map[290720000] = 71.935820307;
  atomic_mass_map[300720000] = 71.926842807;
  atomic_mass_map[310720000] = 71.926367474;
  atomic_mass_map[320720000] = 71.922075826;
  atomic_mass_map[330720000] = 71.926752294;
  atomic_mass_map[340720000] = 71.927140507;
  atomic_mass_map[350720000] = 71.936588619;
  atomic_mass_map[360720000] = 71.942092407;
  atomic_mass_map[370720000] = 71.95908;
  atomic_mass_map[260730000] = 72.97572;
  atomic_mass_map[270730000] = 72.96039;
  atomic_mass_map[280730000] = 72.946206683;
  atomic_mass_map[290730000] = 72.936674378;
  atomic_mass_map[300730000] = 72.929582582;
  atomic_mass_map[310730000] = 72.925174682;
  atomic_mass_map[320730000] = 72.923458956;
  atomic_mass_map[330730000] = 72.923829086;
  atomic_mass_map[340730000] = 72.926754882;
  atomic_mass_map[350730000] = 72.931671503;
  atomic_mass_map[360730000] = 72.939289195;
  atomic_mass_map[370730000] = 72.950529;
  atomic_mass_map[380730000] = 72.9657;
  atomic_mass_map[260740000] = 73.97935;
  atomic_mass_map[270740000] = 73.96515;
  atomic_mass_map[280740000] = 73.94798;
  atomic_mass_map[290740000] = 73.939874862;
  atomic_mass_map[300740000] = 73.929407262;
  atomic_mass_map[310740000] = 73.926945727;
  atomic_mass_map[320740000] = 73.921177761;
  atomic_mass_map[330740000] = 73.923928598;
  atomic_mass_map[340740000] = 73.922475934;
  atomic_mass_map[350740000] = 73.929910177;
  atomic_mass_map[360740000] = 73.93308402;
  atomic_mass_map[370740000] = 73.944265894;
  atomic_mass_map[380740000] = 73.95617;
  atomic_mass_map[270750000] = 74.96876;
  atomic_mass_map[280750000] = 74.9525;
  atomic_mass_map[290750000] = 74.941522606;
  atomic_mass_map[300750000] = 74.932840246;
  atomic_mass_map[310750000] = 74.926500246;
  atomic_mass_map[320750000] = 74.92285837;
  atomic_mass_map[330750000] = 74.921594567;
  atomic_mass_map[340750000] = 74.92252287;
  atomic_mass_map[350750000] = 74.925810452;
  atomic_mass_map[360750000] = 74.930945746;
  atomic_mass_map[370750000] = 74.938573201;
  atomic_mass_map[380750000] = 74.94995277;
  atomic_mass_map[270760000] = 75.97413;
  atomic_mass_map[280760000] = 75.95533;
  atomic_mass_map[290760000] = 75.945275026;
  atomic_mass_map[300760000] = 75.933114957;
  atomic_mass_map[310760000] = 75.928827626;
  atomic_mass_map[320760000] = 75.921402726;
  atomic_mass_map[330760000] = 75.922392015;
  atomic_mass_map[340760000] = 75.919213704;
  atomic_mass_map[350760000] = 75.924541576;
  atomic_mass_map[360760000] = 75.925910271;
  atomic_mass_map[370760000] = 75.935073032;
  atomic_mass_map[380760000] = 75.941762761;
  atomic_mass_map[390760000] = 75.95856;
  atomic_mass_map[280770000] = 76.96055;
  atomic_mass_map[290770000] = 76.94792;
  atomic_mass_map[300770000] = 76.936887199;
  atomic_mass_map[310770000] = 76.9291543;
  atomic_mass_map[320770000] = 76.923549843;
  atomic_mass_map[330770000] = 76.920647563;
  atomic_mass_map[340770000] = 76.919914154;
  atomic_mass_map[350770000] = 76.921379198;
  atomic_mass_map[360770000] = 76.92467;
  atomic_mass_map[370770000] = 76.9304016;
  atomic_mass_map[380770000] = 76.937945455;
  atomic_mass_map[390770000] = 76.949781;
  atomic_mass_map[280780000] = 77.96336;
  atomic_mass_map[290780000] = 77.95223;
  atomic_mass_map[300780000] = 77.938289206;
  atomic_mass_map[310780000] = 77.931608845;
  atomic_mass_map[320780000] = 77.922852908;
  atomic_mass_map[330780000] = 77.921827773;
  atomic_mass_map[340780000] = 77.91730928;
  atomic_mass_map[350780000] = 77.921145895;
  atomic_mass_map[360780000] = 77.920364944;
  atomic_mass_map[370780000] = 77.928141868;
  atomic_mass_map[380780000] = 77.93217998;
  atomic_mass_map[390780000] = 77.94361;
  atomic_mass_map[400780000] = 77.95566;
  atomic_mass_map[280790000] = 78.970252;
  atomic_mass_map[290790000] = 78.95502;
  atomic_mass_map[300790000] = 78.942638069;
  atomic_mass_map[310790000] = 78.932852301;
  atomic_mass_map[320790000] = 78.925360127;
  atomic_mass_map[330790000] = 78.920948423;
  atomic_mass_map[340790000] = 78.918499287;
  atomic_mass_map[350790000] = 78.918337579;
  atomic_mass_map[360790000] = 78.920082923;
  atomic_mass_map[370790000] = 78.923989864;
  atomic_mass_map[380790000] = 78.929707664;
  atomic_mass_map[390790000] = 78.937351299;
  atomic_mass_map[400790000] = 78.94948;
  atomic_mass_map[290800000] = 79.96089;
  atomic_mass_map[300800000] = 79.944552931;
  atomic_mass_map[310800000] = 79.936420775;
  atomic_mass_map[320800000] = 79.925350775;
  atomic_mass_map[330800000] = 79.922474584;
  atomic_mass_map[340800000] = 79.916521762;
  atomic_mass_map[350800000] = 79.918529788;
  atomic_mass_map[360800000] = 79.916378084;
  atomic_mass_map[370800000] = 79.922516444;
  atomic_mass_map[380800000] = 79.924517516;
  atomic_mass_map[390800000] = 79.934356096;
  atomic_mass_map[400800000] = 79.9404;
  atomic_mass_map[290810000] = 80.965872;
  atomic_mass_map[300810000] = 80.950402619;
  atomic_mass_map[310810000] = 80.938133843;
  atomic_mass_map[320810000] = 80.928832943;
  atomic_mass_map[330810000] = 80.92213228;
  atomic_mass_map[340810000] = 80.917993023;
  atomic_mass_map[350810000] = 80.91628969;
  atomic_mass_map[360810000] = 80.916591181;
  atomic_mass_map[370810000] = 80.918993936;
  atomic_mass_map[380810000] = 80.923211395;
  atomic_mass_map[390810000] = 80.929455556;
  atomic_mass_map[400810000] = 80.937308892;
  atomic_mass_map[410810000] = 80.9496;
  atomic_mass_map[290820000] = 81.972442;
  atomic_mass_map[300820000] = 81.95426;
  atomic_mass_map[310820000] = 81.943176533;
  atomic_mass_map[320820000] = 81.929774033;
  atomic_mass_map[330820000] = 81.924741233;
  atomic_mass_map[340820000] = 81.916699497;
  atomic_mass_map[350820000] = 81.916803246;
  atomic_mass_map[360820000] = 81.91348273;
  atomic_mass_map[370820000] = 81.918209024;
  atomic_mass_map[380820000] = 81.918399855;
  atomic_mass_map[390820000] = 81.926931401;
  atomic_mass_map[400820000] = 81.931354;
  atomic_mass_map[410820000] = 81.94396;
  atomic_mass_map[300830000] = 82.96056;
  atomic_mass_map[310830000] = 82.947120301;
  atomic_mass_map[320830000] = 82.934539101;
  atomic_mass_map[330830000] = 82.925206901;
  atomic_mass_map[340830000] = 82.919118569;
  atomic_mass_map[350830000] = 82.91517562;
  atomic_mass_map[360830000] = 82.914127164;
  atomic_mass_map[370830000] = 82.915114183;
  atomic_mass_map[380830000] = 82.917554374;
  atomic_mass_map[390830000] = 82.92248525;
  atomic_mass_map[400830000] = 82.92924215;
  atomic_mass_map[410830000] = 82.937293731;
  atomic_mass_map[420830000] = 82.94988;
  atomic_mass_map[300840000] = 83.965206;
  atomic_mass_map[310840000] = 83.95246;
  atomic_mass_map[320840000] = 83.937575092;
  atomic_mass_map[330840000] = 83.929303292;
  atomic_mass_map[340840000] = 83.918466763;
  atomic_mass_map[350840000] = 83.916496419;
  atomic_mass_map[360840000] = 83.9114977282;
  atomic_mass_map[370840000] = 83.914375229;
  atomic_mass_map[380840000] = 83.913419136;
  atomic_mass_map[390840000] = 83.920672086;
  atomic_mass_map[400840000] = 83.923326899;
  atomic_mass_map[410840000] = 83.934492;
  atomic_mass_map[420840000] = 83.94149;
  atomic_mass_map[300850000] = 84.97226;
  atomic_mass_map[310850000] = 84.95699;
  atomic_mass_map[320850000] = 84.94296966;
  atomic_mass_map[330850000] = 84.93216366;
  atomic_mass_map[340850000] = 84.92226076;
  atomic_mass_map[350850000] = 84.91564576;
  atomic_mass_map[360850000] = 84.912527262;
  atomic_mass_map[370850000] = 84.9117897379;
  atomic_mass_map[380850000] = 84.912932046;
  atomic_mass_map[390850000] = 84.916433039;
  atomic_mass_map[400850000] = 84.921444448;
  atomic_mass_map[410850000] = 84.928845837;
  atomic_mass_map[420850000] = 84.938260737;
  atomic_mass_map[430850000] = 84.95058;
  atomic_mass_map[310860000] = 85.96301;
  atomic_mass_map[320860000] = 85.94658;
  atomic_mass_map[330860000] = 85.936701533;
  atomic_mass_map[340860000] = 85.924311733;
  atomic_mass_map[350860000] = 85.918805433;
  atomic_mass_map[360860000] = 85.9106106269;
  atomic_mass_map[370860000] = 85.911167425;
  atomic_mass_map[380860000] = 85.909260608;
  atomic_mass_map[390860000] = 85.91488598;
  atomic_mass_map[400860000] = 85.916297204;
  atomic_mass_map[410860000] = 85.925782798;
  atomic_mass_map[420860000] = 85.931174817;
  atomic_mass_map[430860000] = 85.94493;
  atomic_mass_map[310870000] = 86.968245;
  atomic_mass_map[320870000] = 86.95268;
  atomic_mass_map[330870000] = 86.940291718;
  atomic_mass_map[340870000] = 86.928688618;
  atomic_mass_map[350870000] = 86.920674018;
  atomic_mass_map[360870000] = 86.91335476;
  atomic_mass_map[370870000] = 86.909180531;
  atomic_mass_map[380870000] = 86.908877531;
  atomic_mass_map[390870000] = 86.910876138;
  atomic_mass_map[400870000] = 86.914817988;
  atomic_mass_map[410870000] = 86.920693747;
  atomic_mass_map[420870000] = 86.928196201;
  atomic_mass_map[430870000] = 86.938067187;
  atomic_mass_map[440870000] = 86.95069;
  atomic_mass_map[320880000] = 87.95691;
  atomic_mass_map[330880000] = 87.94555;
  atomic_mass_map[340880000] = 87.931417492;
  atomic_mass_map[350880000] = 87.924083292;
  atomic_mass_map[360880000] = 87.914447881;
  atomic_mass_map[370880000] = 87.911315592;
  atomic_mass_map[380880000] = 87.905612542;
  atomic_mass_map[390880000] = 87.909501563;
  atomic_mass_map[400880000] = 87.91022129;
  atomic_mass_map[410880000] = 87.91822171;
  atomic_mass_map[420880000] = 87.921967781;
  atomic_mass_map[430880000] = 87.933782381;
  atomic_mass_map[440880000] = 87.9416;
  atomic_mass_map[320890000] = 88.96379;
  atomic_mass_map[330890000] = 88.94976;
  atomic_mass_map[340890000] = 88.93666906;
  atomic_mass_map[350890000] = 88.92670456;
  atomic_mass_map[360890000] = 88.917835451;
  atomic_mass_map[370890000] = 88.912278298;
  atomic_mass_map[380890000] = 88.907451095;
  atomic_mass_map[390890000] = 88.905840348;
  atomic_mass_map[400890000] = 88.908881441;
  atomic_mass_map[410890000] = 88.913445073;
  atomic_mass_map[420890000] = 88.919468151;
  atomic_mass_map[430890000] = 88.927648651;
  atomic_mass_map[440890000] = 88.93762;
  atomic_mass_map[450890000] = 88.950584;
  atomic_mass_map[320900000] = 89.96863;
  atomic_mass_map[330900000] = 89.95563;
  atomic_mass_map[340900000] = 89.940096;
  atomic_mass_map[350900000] = 89.93129285;
  atomic_mass_map[360900000] = 89.919527931;
  atomic_mass_map[370900000] = 89.914798453;
  atomic_mass_map[380900000] = 89.907730037;
  atomic_mass_map[390900000] = 89.907143942;
  atomic_mass_map[400900000] = 89.904697659;
  atomic_mass_map[410900000] = 89.911258449;
  atomic_mass_map[420900000] = 89.913930861;
  atomic_mass_map[430900000] = 89.924073921;
  atomic_mass_map[440900000] = 89.93034438;
  atomic_mass_map[450900000] = 89.94422;
  atomic_mass_map[330910000] = 90.96039;
  atomic_mass_map[340910000] = 90.94596;
  atomic_mass_map[350910000] = 90.934398619;
  atomic_mass_map[360910000] = 90.923806311;
  atomic_mass_map[370910000] = 90.916537169;
  atomic_mass_map[380910000] = 90.910195442;
  atomic_mass_map[390910000] = 90.907297442;
  atomic_mass_map[400910000] = 90.905639587;
  atomic_mass_map[410910000] = 90.906989658;
  atomic_mass_map[420910000] = 90.911745312;
  atomic_mass_map[430910000] = 90.918425397;
  atomic_mass_map[440910000] = 90.926741859;
  atomic_mass_map[450910000] = 90.93688;
  atomic_mass_map[460910000] = 90.95032;
  atomic_mass_map[330920000] = 91.96674;
  atomic_mass_map[340920000] = 91.94984;
  atomic_mass_map[350920000] = 91.939631597;
  atomic_mass_map[360920000] = 91.926173094;
  atomic_mass_map[370920000] = 91.919728389;
  atomic_mass_map[380920000] = 91.91103819;
  atomic_mass_map[390920000] = 91.908945142;
  atomic_mass_map[400920000] = 91.905034675;
  atomic_mass_map[410920000] = 91.907188081;
  atomic_mass_map[420920000] = 91.906807959;
  atomic_mass_map[430920000] = 91.915269779;
  atomic_mass_map[440920000] = 91.920234375;
  atomic_mass_map[450920000] = 91.932367694;
  atomic_mass_map[460920000] = 91.94088;
  atomic_mass_map[340930000] = 92.95629;
  atomic_mass_map[350930000] = 92.943134;
  atomic_mass_map[360930000] = 92.931147174;
  atomic_mass_map[370930000] = 92.922039269;
  atomic_mass_map[380930000] = 92.914024228;
  atomic_mass_map[390930000] = 92.909577886;
  atomic_mass_map[400930000] = 92.906469947;
  atomic_mass_map[410930000] = 92.906373004;
  atomic_mass_map[420930000] = 92.906809577;
  atomic_mass_map[430930000] = 92.910245952;
  atomic_mass_map[440930000] = 92.917104444;
  atomic_mass_map[450930000] = 92.925912781;
  atomic_mass_map[460930000] = 92.936511;
  atomic_mass_map[470930000] = 92.95033;
  atomic_mass_map[340940000] = 93.96049;
  atomic_mass_map[350940000] = 93.9489;
  atomic_mass_map[360940000] = 93.934140454;
  atomic_mass_map[370940000] = 93.926394814;
  atomic_mass_map[380940000] = 93.915355602;
  atomic_mass_map[390940000] = 93.911590582;
  atomic_mass_map[400940000] = 93.906310828;
  atomic_mass_map[410940000] = 93.907278836;
  atomic_mass_map[420940000] = 93.905084903;
  atomic_mass_map[430940000] = 93.909653637;
  atomic_mass_map[440940000] = 93.911342863;
  atomic_mass_map[450940000] = 93.921730453;
  atomic_mass_map[460940000] = 93.929037603;
  atomic_mass_map[470940000] = 93.943734;
  atomic_mass_map[340950000] = 94.9673;
  atomic_mass_map[350950000] = 94.95301;
  atomic_mass_map[360950000] = 94.939710924;
  atomic_mass_map[370950000] = 94.929260004;
  atomic_mass_map[380950000] = 94.919352941;
  atomic_mass_map[390950000] = 94.912816058;
  atomic_mass_map[400950000] = 94.90803853;
  atomic_mass_map[410950000] = 94.906832404;
  atomic_mass_map[420950000] = 94.905838766;
  atomic_mass_map[430950000] = 94.907653612;
  atomic_mass_map[440950000] = 94.910405759;
  atomic_mass_map[450950000] = 94.915897895;
  atomic_mass_map[460950000] = 94.924889838;
  atomic_mass_map[470950000] = 94.93602;
  atomic_mass_map[480950000] = 94.94994;
  atomic_mass_map[350960000] = 95.95903;
  atomic_mass_map[360960000] = 95.943016618;
  atomic_mass_map[370960000] = 95.93413338;
  atomic_mass_map[380960000] = 95.921706575;
  atomic_mass_map[390960000] = 95.915896835;
  atomic_mass_map[400960000] = 95.908271433;
  atomic_mass_map[410960000] = 95.908097286;
  atomic_mass_map[420960000] = 95.904676115;
  atomic_mass_map[430960000] = 95.907868022;
  atomic_mass_map[440960000] = 95.907590255;
  atomic_mass_map[450960000] = 95.914453051;
  atomic_mass_map[460960000] = 95.918215084;
  atomic_mass_map[470960000] = 95.930743906;
  atomic_mass_map[480960000] = 95.94034;
  atomic_mass_map[350970000] = 96.96344;
  atomic_mass_map[360970000] = 96.949088785;
  atomic_mass_map[370970000] = 96.937177136;
  atomic_mass_map[380970000] = 96.92637396;
  atomic_mass_map[390970000] = 96.918274106;
  atomic_mass_map[400970000] = 96.910951206;
  atomic_mass_map[410970000] = 96.908095932;
  atomic_mass_map[420970000] = 96.906018118;
  atomic_mass_map[430970000] = 96.906366706;
  atomic_mass_map[440970000] = 96.90754712;
  atomic_mass_map[450970000] = 96.911329216;
  atomic_mass_map[460970000] = 96.916471988;
  atomic_mass_map[470970000] = 96.923965326;
  atomic_mass_map[480970000] = 96.9351;
  atomic_mass_map[490970000] = 96.94934;
  atomic_mass_map[350980000] = 97.96946;
  atomic_mass_map[360980000] = 97.95243;
  atomic_mass_map[370980000] = 97.941686868;
  atomic_mass_map[380980000] = 97.928688778;
  atomic_mass_map[390980000] = 97.922382119;
  atomic_mass_map[400980000] = 97.912728892;
  atomic_mass_map[410980000] = 97.910326459;
  atomic_mass_map[420980000] = 97.90540482;
  atomic_mass_map[430980000] = 97.907212365;
  atomic_mass_map[440980000] = 97.905286813;
  atomic_mass_map[450980000] = 97.910707839;
  atomic_mass_map[460980000] = 97.912698337;
  atomic_mass_map[470980000] = 97.921559973;
  atomic_mass_map[480980000] = 97.927389318;
  atomic_mass_map[490980000] = 97.94214;
  atomic_mass_map[360990000] = 98.95839;
  atomic_mass_map[370990000] = 98.945028735;
  atomic_mass_map[380990000] = 98.932890666;
  atomic_mass_map[390990000] = 98.924147979;
  atomic_mass_map[400990000] = 98.916666746;
  atomic_mass_map[410990000] = 98.911613177;
  atomic_mass_map[420990000] = 98.907708509;
  atomic_mass_map[430990000] = 98.906250844;
  atomic_mass_map[440990000] = 98.905934082;
  atomic_mass_map[450990000] = 98.908128239;
  atomic_mass_map[460990000] = 98.911774806;
  atomic_mass_map[470990000] = 98.917645768;
  atomic_mass_map[480990000] = 98.924925848;
  atomic_mass_map[490990000] = 98.93411;
  atomic_mass_map[500990000] = 98.94853;
  atomic_mass_map[361000000] = 99.96237;
  atomic_mass_map[371000000] = 99.95003;
  atomic_mass_map[381000000] = 99.935769692;
  atomic_mass_map[391000000] = 99.927714692;
  atomic_mass_map[401000000] = 99.918000576;
  atomic_mass_map[411000000] = 99.914327592;
  atomic_mass_map[421000000] = 99.907471782;
  atomic_mass_map[431000000] = 99.907653877;
  atomic_mass_map[441000000] = 99.904214256;
  atomic_mass_map[451000000] = 99.908117264;
  atomic_mass_map[461000000] = 99.908504805;
  atomic_mass_map[471000000] = 99.916115445;
  atomic_mass_map[481000000] = 99.92034882;
  atomic_mass_map[491000000] = 99.93095718;
  atomic_mass_map[501000000] = 99.938504196;
  atomic_mass_map[361010000] = 100.96873;
  atomic_mass_map[371010000] = 100.954039;
  atomic_mass_map[381010000] = 100.940351743;
  atomic_mass_map[391010000] = 100.930147705;
  atomic_mass_map[401010000] = 100.921447964;
  atomic_mass_map[411010000] = 100.915310254;
  atomic_mass_map[421010000] = 100.910341447;
  atomic_mass_map[431010000] = 100.907309057;
  atomic_mass_map[441010000] = 100.905576872;
  atomic_mass_map[451010000] = 100.906160613;
  atomic_mass_map[461010000] = 100.908286412;
  atomic_mass_map[471010000] = 100.912683953;
  atomic_mass_map[481010000] = 100.918586211;
  atomic_mass_map[491010000] = 100.92634;
  atomic_mass_map[501010000] = 100.935259244;
  atomic_mass_map[371020000] = 101.95952;
  atomic_mass_map[381020000] = 101.943790979;
  atomic_mass_map[391020000] = 101.934327687;
  atomic_mass_map[401020000] = 101.92314093;
  atomic_mass_map[411020000] = 101.918077197;
  atomic_mass_map[421020000] = 101.910283414;
  atomic_mass_map[431020000] = 101.909209733;
  atomic_mass_map[441020000] = 101.904344096;
  atomic_mass_map[451020000] = 101.906837373;
  atomic_mass_map[461020000] = 101.905602187;
  atomic_mass_map[471020000] = 101.911704708;
  atomic_mass_map[481020000] = 101.914481967;
  atomic_mass_map[491020000] = 101.924107138;
  atomic_mass_map[501020000] = 101.930290753;
  atomic_mass_map[371030000] = 102.96392;
  atomic_mass_map[381030000] = 102.94909;
  atomic_mass_map[391030000] = 102.937243004;
  atomic_mass_map[401030000] = 102.927190678;
  atomic_mass_map[411030000] = 102.919457238;
  atomic_mass_map[421030000] = 102.913078578;
  atomic_mass_map[431030000] = 102.909176131;
  atomic_mass_map[441030000] = 102.906318627;
  atomic_mass_map[451030000] = 102.905497993;
  atomic_mass_map[461030000] = 102.906080949;
  atomic_mass_map[471030000] = 102.908963138;
  atomic_mass_map[481030000] = 102.913416517;
  atomic_mass_map[491030000] = 102.919881915;
  atomic_mass_map[501030000] = 102.928105264;
  atomic_mass_map[511030000] = 102.93969;
  atomic_mass_map[381040000] = 103.95265;
  atomic_mass_map[391040000] = 103.94196;
  atomic_mass_map[401040000] = 103.929435691;
  atomic_mass_map[411040000] = 103.922892491;
  atomic_mass_map[421040000] = 103.913734373;
  atomic_mass_map[431040000] = 103.911424888;
  atomic_mass_map[441040000] = 103.905427481;
  atomic_mass_map[451040000] = 103.90664922;
  atomic_mass_map[461040000] = 103.90403054;
  atomic_mass_map[471040000] = 103.908623864;
  atomic_mass_map[481040000] = 103.909856386;
  atomic_mass_map[491040000] = 103.918214541;
  atomic_mass_map[501040000] = 103.923105204;
  atomic_mass_map[511040000] = 103.936477804;
  atomic_mass_map[381050000] = 104.95855;
  atomic_mass_map[391050000] = 104.94544;
  atomic_mass_map[401050000] = 104.934008204;
  atomic_mass_map[411050000] = 104.924946471;
  atomic_mass_map[421050000] = 104.916968617;
  atomic_mass_map[431050000] = 104.911654883;
  atomic_mass_map[441050000] = 104.907747645;
  atomic_mass_map[451050000] = 104.905688549;
  atomic_mass_map[461050000] = 104.905079626;
  atomic_mass_map[471050000] = 104.906525615;
  atomic_mass_map[481050000] = 104.909463896;
  atomic_mass_map[491050000] = 104.914502325;
  atomic_mass_map[501050000] = 104.921268429;
  atomic_mass_map[511050000] = 104.931275897;
  atomic_mass_map[521050000] = 104.943304508;
  atomic_mass_map[381060000] = 105.962651;
  atomic_mass_map[391060000] = 105.95056;
  atomic_mass_map[401060000] = 105.93676;
  atomic_mass_map[411060000] = 105.928931712;
  atomic_mass_map[421060000] = 105.918259464;
  atomic_mass_map[431060000] = 105.914357598;
  atomic_mass_map[441060000] = 105.907329104;
  atomic_mass_map[451060000] = 105.907286801;
  atomic_mass_map[461060000] = 105.903480426;
  atomic_mass_map[471060000] = 105.906663637;
  atomic_mass_map[481060000] = 105.906459928;
  atomic_mass_map[491060000] = 105.913463735;
  atomic_mass_map[501060000] = 105.916957404;
  atomic_mass_map[511060000] = 105.928637982;
  atomic_mass_map[521060000] = 105.937499664;
  atomic_mass_map[381070000] = 106.968975;
  atomic_mass_map[391070000] = 106.95452;
  atomic_mass_map[401070000] = 106.94174;
  atomic_mass_map[411070000] = 106.931593654;
  atomic_mass_map[421070000] = 106.922105877;
  atomic_mass_map[431070000] = 106.915460645;
  atomic_mass_map[441070000] = 106.909972045;
  atomic_mass_map[451070000] = 106.906747811;
  atomic_mass_map[461070000] = 106.905128195;
  atomic_mass_map[471070000] = 106.905091611;
  atomic_mass_map[481070000] = 106.906612122;
  atomic_mass_map[491070000] = 106.910290084;
  atomic_mass_map[501070000] = 106.915713652;
  atomic_mass_map[511070000] = 106.924150641;
  atomic_mass_map[521070000] = 106.935011573;
  atomic_mass_map[531070000] = 106.94678;
  atomic_mass_map[391080000] = 107.95996;
  atomic_mass_map[401080000] = 107.94487;
  atomic_mass_map[411080000] = 107.936074773;
  atomic_mass_map[421080000] = 107.92403349;
  atomic_mass_map[431080000] = 107.918495722;
  atomic_mass_map[441080000] = 107.910188022;
  atomic_mass_map[451080000] = 107.908714473;
  atomic_mass_map[461080000] = 107.90389164;
  atomic_mass_map[471080000] = 107.905950346;
  atomic_mass_map[481080000] = 107.90418344;
  atomic_mass_map[491080000] = 107.909693524;
  atomic_mass_map[501080000] = 107.911894287;
  atomic_mass_map[511080000] = 107.922226735;
  atomic_mass_map[521080000] = 107.929380467;
  atomic_mass_map[531080000] = 107.943481623;
  atomic_mass_map[391090000] = 108.964358;
  atomic_mass_map[401090000] = 108.95041;
  atomic_mass_map[411090000] = 108.939216;
  atomic_mass_map[421090000] = 108.92842416;
  atomic_mass_map[431090000] = 108.920256356;
  atomic_mass_map[441090000] = 108.913325956;
  atomic_mass_map[451090000] = 108.908748821;
  atomic_mass_map[461090000] = 108.905950406;
  atomic_mass_map[471090000] = 108.904755282;
  atomic_mass_map[481090000] = 108.904986653;
  atomic_mass_map[491090000] = 108.907151381;
  atomic_mass_map[501090000] = 108.91129206;
  atomic_mass_map[511090000] = 108.918141122;
  atomic_mass_map[521090000] = 108.927304534;
  atomic_mass_map[531090000] = 108.938085287;
  atomic_mass_map[541090000] = 108.950434864;
  atomic_mass_map[401100000] = 109.95396;
  atomic_mass_map[411100000] = 109.94403;
  atomic_mass_map[421100000] = 109.930703673;
  atomic_mass_map[431100000] = 109.923743534;
  atomic_mass_map[441100000] = 109.914040696;
  atomic_mass_map[451100000] = 109.911079429;
  atomic_mass_map[461100000] = 109.905172199;
  atomic_mass_map[471100000] = 109.906110226;
  atomic_mass_map[481100000] = 109.903006606;
  atomic_mass_map[491100000] = 109.90716981;
  atomic_mass_map[501100000] = 109.907844835;
  atomic_mass_map[511100000] = 109.916854287;
  atomic_mass_map[521100000] = 109.922458091;
  atomic_mass_map[531100000] = 109.935089034;
  atomic_mass_map[541100000] = 109.944263102;
  atomic_mass_map[401110000] = 110.959678;
  atomic_mass_map[411110000] = 110.94753;
  atomic_mass_map[421110000] = 110.935654257;
  atomic_mass_map[431110000] = 110.925901257;
  atomic_mass_map[441110000] = 110.917569857;
  atomic_mass_map[451110000] = 110.91164231;
  atomic_mass_map[461110000] = 110.907689679;
  atomic_mass_map[471110000] = 110.905295923;
  atomic_mass_map[481110000] = 110.904182872;
  atomic_mass_map[491110000] = 110.905108458;
  atomic_mass_map[501110000] = 110.907740127;
  atomic_mass_map[511110000] = 110.913218189;
  atomic_mass_map[521110000] = 110.921000589;
  atomic_mass_map[531110000] = 110.930269214;
  atomic_mass_map[541110000] = 110.941607206;
  atomic_mass_map[401120000] = 111.963703;
  atomic_mass_map[411120000] = 111.95247;
  atomic_mass_map[421120000] = 111.93831;
  atomic_mass_map[431120000] = 111.929945813;
  atomic_mass_map[441120000] = 111.918809234;
  atomic_mass_map[451120000] = 111.914403222;
  atomic_mass_map[461120000] = 111.907329698;
  atomic_mass_map[471120000] = 111.90704855;
  atomic_mass_map[481120000] = 111.902762868;
  atomic_mass_map[491120000] = 111.905537694;
  atomic_mass_map[501120000] = 111.904823874;
  atomic_mass_map[511120000] = 111.912399903;
  atomic_mass_map[521120000] = 111.91672785;
  atomic_mass_map[531120000] = 111.92800455;
  atomic_mass_map[541120000] = 111.935558982;
  atomic_mass_map[551120000] = 111.950308558;
  atomic_mass_map[411130000] = 112.95651;
  atomic_mass_map[421130000] = 112.94335;
  atomic_mass_map[431130000] = 112.932569035;
  atomic_mass_map[441130000] = 112.922843999;
  atomic_mass_map[451130000] = 112.915439342;
  atomic_mass_map[461130000] = 112.910261042;
  atomic_mass_map[471130000] = 112.906572893;
  atomic_mass_map[481130000] = 112.904408133;
  atomic_mass_map[491130000] = 112.904061839;
  atomic_mass_map[501130000] = 112.905175728;
  atomic_mass_map[511130000] = 112.909374536;
  atomic_mass_map[521130000] = 112.915891;
  atomic_mass_map[531130000] = 112.923650064;
  atomic_mass_map[541130000] = 112.93322165;
  atomic_mass_map[551130000] = 112.944429144;
  atomic_mass_map[411140000] = 113.96201;
  atomic_mass_map[421140000] = 113.94653;
  atomic_mass_map[431140000] = 113.93691;
  atomic_mass_map[441140000] = 113.924613554;
  atomic_mass_map[451140000] = 113.918718294;
  atomic_mass_map[461140000] = 113.910368554;
  atomic_mass_map[471140000] = 113.908823031;
  atomic_mass_map[481140000] = 113.903365086;
  atomic_mass_map[491140000] = 113.904917909;
  atomic_mass_map[501140000] = 113.902782695;
  atomic_mass_map[511140000] = 113.909290189;
  atomic_mass_map[521140000] = 113.912089;
  atomic_mass_map[531140000] = 113.92185;
  atomic_mass_map[541140000] = 113.927980331;
  atomic_mass_map[551140000] = 113.941296176;
  atomic_mass_map[561140000] = 113.950660438;
  atomic_mass_map[411150000] = 114.96634;
  atomic_mass_map[421150000] = 114.95196;
  atomic_mass_map[431150000] = 114.93998;
  atomic_mass_map[441150000] = 114.928819898;
  atomic_mass_map[451150000] = 114.920311589;
  atomic_mass_map[461150000] = 114.913658506;
  atomic_mass_map[471150000] = 114.908767355;
  atomic_mass_map[481150000] = 114.905437513;
  atomic_mass_map[491150000] = 114.903878776;
  atomic_mass_map[501150000] = 114.903344699;
  atomic_mass_map[511150000] = 114.906598;
  atomic_mass_map[521150000] = 114.911902;
  atomic_mass_map[531150000] = 114.918048;
  atomic_mass_map[541150000] = 114.926293945;
  atomic_mass_map[551150000] = 114.93591;
  atomic_mass_map[561150000] = 114.94737;
  atomic_mass_map[421160000] = 115.955448;
  atomic_mass_map[431160000] = 115.94476;
  atomic_mass_map[441160000] = 115.931219195;
  atomic_mass_map[451160000] = 115.924058528;
  atomic_mass_map[461160000] = 115.914296979;
  atomic_mass_map[471160000] = 115.911386812;
  atomic_mass_map[481160000] = 115.904763148;
  atomic_mass_map[491160000] = 115.905259995;
  atomic_mass_map[501160000] = 115.901742797;
  atomic_mass_map[511160000] = 115.906793115;
  atomic_mass_map[521160000] = 115.90846;
  atomic_mass_map[531160000] = 115.916808658;
  atomic_mass_map[541160000] = 115.921581112;
  atomic_mass_map[551160000] = 115.933373;
  atomic_mass_map[561160000] = 115.94128;
  atomic_mass_map[571160000] = 115.956304;
  atomic_mass_map[421170000] = 116.96117;
  atomic_mass_map[431170000] = 116.94806;
  atomic_mass_map[441170000] = 116.936103;
  atomic_mass_map[451170000] = 116.926035391;
  atomic_mass_map[461170000] = 116.917954721;
  atomic_mass_map[471170000] = 116.911773934;
  atomic_mass_map[481170000] = 116.907225956;
  atomic_mass_map[491170000] = 116.904515678;
  atomic_mass_map[501170000] = 116.902953983;
  atomic_mass_map[511170000] = 116.904841508;
  atomic_mass_map[521170000] = 116.908646298;
  atomic_mass_map[531170000] = 116.913648312;
  atomic_mass_map[541170000] = 116.920358761;
  atomic_mass_map[551170000] = 116.928616726;
  atomic_mass_map[561170000] = 116.93814057;
  atomic_mass_map[571170000] = 116.949985;
  atomic_mass_map[431180000] = 117.95299;
  atomic_mass_map[441180000] = 117.93853;
  atomic_mass_map[451180000] = 117.930340208;
  atomic_mass_map[461180000] = 117.9190667;
  atomic_mass_map[471180000] = 117.914595487;
  atomic_mass_map[481180000] = 117.906921869;
  atomic_mass_map[491180000] = 117.906356616;
  atomic_mass_map[501180000] = 117.901606574;
  atomic_mass_map[511180000] = 117.905532139;
  atomic_mass_map[521180000] = 117.905853629;
  atomic_mass_map[531180000] = 117.913074;
  atomic_mass_map[541180000] = 117.91617868;
  atomic_mass_map[551180000] = 117.926559519;
  atomic_mass_map[561180000] = 117.93306;
  atomic_mass_map[571180000] = 117.94673;
  atomic_mass_map[431190000] = 118.95666;
  atomic_mass_map[441190000] = 118.94357;
  atomic_mass_map[451190000] = 118.932556954;
  atomic_mass_map[461190000] = 118.923340223;
  atomic_mass_map[471190000] = 118.915570287;
  atomic_mass_map[481190000] = 118.909846851;
  atomic_mass_map[491190000] = 118.905850708;
  atomic_mass_map[501190000] = 118.903311172;
  atomic_mass_map[511190000] = 118.903945471;
  atomic_mass_map[521190000] = 118.906407108;
  atomic_mass_map[531190000] = 118.910074;
  atomic_mass_map[541190000] = 118.915410714;
  atomic_mass_map[551190000] = 118.92237733;
  atomic_mass_map[561190000] = 118.930659686;
  atomic_mass_map[571190000] = 118.94099;
  atomic_mass_map[581190000] = 118.95271;
  atomic_mass_map[431200000] = 119.96187;
  atomic_mass_map[441200000] = 119.94631;
  atomic_mass_map[451200000] = 119.93686;
  atomic_mass_map[461200000] = 119.924551089;
  atomic_mass_map[471200000] = 119.918784768;
  atomic_mass_map[481200000] = 119.909868068;
  atomic_mass_map[491200000] = 119.907966567;
  atomic_mass_map[501200000] = 119.902201634;
  atomic_mass_map[511200000] = 119.905079385;
  atomic_mass_map[521200000] = 119.9040593;
  atomic_mass_map[531200000] = 119.910087251;
  atomic_mass_map[541200000] = 119.91178427;
  atomic_mass_map[551200000] = 119.920677279;
  atomic_mass_map[561200000] = 119.926045;
  atomic_mass_map[571200000] = 119.93807;
  atomic_mass_map[581200000] = 119.94654;
  atomic_mass_map[441210000] = 120.95164;
  atomic_mass_map[451210000] = 120.93942;
  atomic_mass_map[461210000] = 120.928950345;
  atomic_mass_map[471210000] = 120.920125282;
  atomic_mass_map[481210000] = 120.912963663;
  atomic_mass_map[491210000] = 120.907851062;
  atomic_mass_map[501210000] = 120.904242554;
  atomic_mass_map[511210000] = 120.903811967;
  atomic_mass_map[521210000] = 120.904943812;
  atomic_mass_map[531210000] = 120.90740505;
  atomic_mass_map[541210000] = 120.911453015;
  atomic_mass_map[551210000] = 120.917227238;
  atomic_mass_map[561210000] = 120.92405229;
  atomic_mass_map[571210000] = 120.93315;
  atomic_mass_map[581210000] = 120.94335;
  atomic_mass_map[591210000] = 120.95532;
  atomic_mass_map[441220000] = 121.95447;
  atomic_mass_map[451220000] = 121.94399;
  atomic_mass_map[461220000] = 121.930631696;
  atomic_mass_map[471220000] = 121.923664449;
  atomic_mass_map[481220000] = 121.913459053;
  atomic_mass_map[491220000] = 121.910280738;
  atomic_mass_map[501220000] = 121.903443774;
  atomic_mass_map[511220000] = 121.905169948;
  atomic_mass_map[521220000] = 121.903043455;
  atomic_mass_map[531220000] = 121.907588841;
  atomic_mass_map[541220000] = 121.908367658;
  atomic_mass_map[551220000] = 121.916108146;
  atomic_mass_map[561220000] = 121.919904;
  atomic_mass_map[571220000] = 121.93071;
  atomic_mass_map[581220000] = 121.93787;
  atomic_mass_map[591220000] = 121.95175;
  atomic_mass_map[441230000] = 122.95989;
  atomic_mass_map[451230000] = 122.94685;
  atomic_mass_map[461230000] = 122.93514;
  atomic_mass_map[471230000] = 122.925337063;
  atomic_mass_map[481230000] = 122.916892453;
  atomic_mass_map[491230000] = 122.910433718;
  atomic_mass_map[501230000] = 122.905725221;
  atomic_mass_map[511230000] = 122.904213204;
  atomic_mass_map[521230000] = 122.904269769;
  atomic_mass_map[531230000] = 122.905588537;
  atomic_mass_map[541230000] = 122.908481757;
  atomic_mass_map[551230000] = 122.912996063;
  atomic_mass_map[561230000] = 122.918781063;
  atomic_mass_map[571230000] = 122.9263;
  atomic_mass_map[581230000] = 122.93528;
  atomic_mass_map[591230000] = 122.94596;
  atomic_mass_map[441240000] = 123.96305;
  atomic_mass_map[451240000] = 123.95151;
  atomic_mass_map[461240000] = 123.93714;
  atomic_mass_map[471240000] = 123.928931229;
  atomic_mass_map[481240000] = 123.917657364;
  atomic_mass_map[491240000] = 123.913182245;
  atomic_mass_map[501240000] = 123.905276645;
  atomic_mass_map[511240000] = 123.905934978;
  atomic_mass_map[521240000] = 123.902817085;
  atomic_mass_map[531240000] = 123.906209041;
  atomic_mass_map[541240000] = 123.905891984;
  atomic_mass_map[551240000] = 123.912257798;
  atomic_mass_map[561240000] = 123.915093629;
  atomic_mass_map[571240000] = 123.924574275;
  atomic_mass_map[581240000] = 123.93031;
  atomic_mass_map[591240000] = 123.94294;
  atomic_mass_map[601240000] = 123.9522;
  atomic_mass_map[451250000] = 124.95469;
  atomic_mass_map[461250000] = 124.94179;
  atomic_mass_map[471250000] = 124.931046;
  atomic_mass_map[481250000] = 124.921257577;
  atomic_mass_map[491250000] = 124.913604553;
  atomic_mass_map[501250000] = 124.907786395;
  atomic_mass_map[511250000] = 124.905253007;
  atomic_mass_map[521250000] = 124.90442992;
  atomic_mass_map[531250000] = 124.904629353;
  atomic_mass_map[541250000] = 124.906394445;
  atomic_mass_map[551250000] = 124.909727985;
  atomic_mass_map[561250000] = 124.914471843;
  atomic_mass_map[571250000] = 124.920815932;
  atomic_mass_map[581250000] = 124.92844;
  atomic_mass_map[591250000] = 124.9377;
  atomic_mass_map[601250000] = 124.9489;
  atomic_mass_map[451260000] = 125.95946;
  atomic_mass_map[461260000] = 125.94416;
  atomic_mass_map[471260000] = 125.93475;
  atomic_mass_map[481260000] = 125.922429128;
  atomic_mass_map[491260000] = 125.916507322;
  atomic_mass_map[501260000] = 125.907658786;
  atomic_mass_map[511260000] = 125.907252987;
  atomic_mass_map[521260000] = 125.903310886;
  atomic_mass_map[531260000] = 125.905623329;
  atomic_mass_map[541260000] = 125.904298292;
  atomic_mass_map[551260000] = 125.909446057;
  atomic_mass_map[561260000] = 125.911250204;
  atomic_mass_map[571260000] = 125.919512667;
  atomic_mass_map[581260000] = 125.923971;
  atomic_mass_map[591260000] = 125.93524;
  atomic_mass_map[601260000] = 125.94311;
  atomic_mass_map[611260000] = 125.95792;
  atomic_mass_map[461270000] = 126.94907;
  atomic_mass_map[471270000] = 126.93711;
  atomic_mass_map[481270000] = 126.926472404;
  atomic_mass_map[491270000] = 126.917446276;
  atomic_mass_map[501270000] = 126.910389943;
  atomic_mass_map[511270000] = 126.906924278;
  atomic_mass_map[521270000] = 126.905225735;
  atomic_mass_map[531270000] = 126.904471853;
  atomic_mass_map[541270000] = 126.905182914;
  atomic_mass_map[551270000] = 126.907417384;
  atomic_mass_map[561270000] = 126.911091275;
  atomic_mass_map[571270000] = 126.916375084;
  atomic_mass_map[581270000] = 126.922727;
  atomic_mass_map[591270000] = 126.93071;
  atomic_mass_map[601270000] = 126.94038;
  atomic_mass_map[611270000] = 126.95192;
  atomic_mass_map[461280000] = 127.95183;
  atomic_mass_map[471280000] = 127.94106;
  atomic_mass_map[481280000] = 127.927812858;
  atomic_mass_map[491280000] = 127.920401044;
  atomic_mass_map[501280000] = 127.910507184;
  atomic_mass_map[511280000] = 127.909145628;
  atomic_mass_map[521280000] = 127.904461279;
  atomic_mass_map[531280000] = 127.905808615;
  atomic_mass_map[541280000] = 127.903531018;
  atomic_mass_map[551280000] = 127.907748666;
  atomic_mass_map[561280000] = 127.908341967;
  atomic_mass_map[571280000] = 127.915592123;
  atomic_mass_map[581280000] = 127.918911;
  atomic_mass_map[591280000] = 127.928791;
  atomic_mass_map[601280000] = 127.93525;
  atomic_mass_map[611280000] = 127.9487;
  atomic_mass_map[621280000] = 127.95842;
  atomic_mass_map[471290000] = 128.94395;
  atomic_mass_map[481290000] = 128.93182;
  atomic_mass_map[491290000] = 128.921805301;
  atomic_mass_map[501290000] = 128.913464711;
  atomic_mass_map[511290000] = 128.909146665;
  atomic_mass_map[521290000] = 128.90659646;
  atomic_mass_map[531290000] = 128.904983669;
  atomic_mass_map[541290000] = 128.904780861;
  atomic_mass_map[551290000] = 128.906065683;
  atomic_mass_map[561290000] = 128.908680798;
  atomic_mass_map[571290000] = 128.912694431;
  atomic_mass_map[581290000] = 128.918102;
  atomic_mass_map[591290000] = 128.925095;
  atomic_mass_map[601290000] = 128.933102;
  atomic_mass_map[611290000] = 128.94323;
  atomic_mass_map[621290000] = 128.95476;
  atomic_mass_map[471300000] = 129.950703;
  atomic_mass_map[481300000] = 129.933940679;
  atomic_mass_map[491300000] = 129.924976585;
  atomic_mass_map[501300000] = 129.91397383;
  atomic_mass_map[511300000] = 129.911662054;
  atomic_mass_map[521300000] = 129.906222748;
  atomic_mass_map[531300000] = 129.906670193;
  atomic_mass_map[541300000] = 129.903509349;
  atomic_mass_map[551300000] = 129.906709283;
  atomic_mass_map[561300000] = 129.906320669;
  atomic_mass_map[571300000] = 129.912369413;
  atomic_mass_map[581300000] = 129.914736;
  atomic_mass_map[591300000] = 129.92359;
  atomic_mass_map[601300000] = 129.928506;
  atomic_mass_map[611300000] = 129.94053;
  atomic_mass_map[621300000] = 129.949;
  atomic_mass_map[631300000] = 129.963689;
  atomic_mass_map[481310000] = 130.9406;
  atomic_mass_map[491310000] = 130.926971529;
  atomic_mass_map[501310000] = 130.917044954;
  atomic_mass_map[511310000] = 130.911988799;
  atomic_mass_map[521310000] = 130.908522213;
  atomic_mass_map[531310000] = 130.906126305;
  atomic_mass_map[541310000] = 130.905084057;
  atomic_mass_map[551310000] = 130.905464899;
  atomic_mass_map[561310000] = 130.906940977;
  atomic_mass_map[571310000] = 130.91007;
  atomic_mass_map[581310000] = 130.914429465;
  atomic_mass_map[591310000] = 130.92023496;
  atomic_mass_map[601310000] = 130.92724802;
  atomic_mass_map[611310000] = 130.93567;
  atomic_mass_map[621310000] = 130.94618;
  atomic_mass_map[631310000] = 130.957842;
  atomic_mass_map[481320000] = 131.94604;
  atomic_mass_map[491320000] = 131.933001273;
  atomic_mass_map[501320000] = 131.917826725;
  atomic_mass_map[511320000] = 131.914507691;
  atomic_mass_map[521320000] = 131.908546716;
  atomic_mass_map[531320000] = 131.907993514;
  atomic_mass_map[541320000] = 131.904155086;
  atomic_mass_map[551320000] = 131.906433914;
  atomic_mass_map[561320000] = 131.905061128;
  atomic_mass_map[571320000] = 131.910118979;
  atomic_mass_map[581320000] = 131.911463775;
  atomic_mass_map[591320000] = 131.919255;
  atomic_mass_map[601320000] = 131.923321237;
  atomic_mass_map[611320000] = 131.93384;
  atomic_mass_map[621320000] = 131.94087;
  atomic_mass_map[631320000] = 131.95467;
  atomic_mass_map[481330000] = 132.95285;
  atomic_mass_map[491330000] = 132.93831;
  atomic_mass_map[501330000] = 132.923913404;
  atomic_mass_map[511330000] = 132.915273198;
  atomic_mass_map[521330000] = 132.910968766;
  atomic_mass_map[531330000] = 132.907796968;
  atomic_mass_map[541330000] = 132.905910751;
  atomic_mass_map[551330000] = 132.905451961;
  atomic_mass_map[561330000] = 132.906007351;
  atomic_mass_map[571330000] = 132.908218;
  atomic_mass_map[581330000] = 132.911520402;
  atomic_mass_map[591330000] = 132.916330561;
  atomic_mass_map[601330000] = 132.922348;
  atomic_mass_map[611330000] = 132.929782;
  atomic_mass_map[621330000] = 132.93856;
  atomic_mass_map[631330000] = 132.94929;
  atomic_mass_map[641330000] = 132.96133;
  atomic_mass_map[491340000] = 133.94454;
  atomic_mass_map[501340000] = 133.928682064;
  atomic_mass_map[511340000] = 133.920535676;
  atomic_mass_map[521340000] = 133.911393959;
  atomic_mass_map[531340000] = 133.909758836;
  atomic_mass_map[541340000] = 133.905394664;
  atomic_mass_map[551340000] = 133.906718503;
  atomic_mass_map[561340000] = 133.904508182;
  atomic_mass_map[571340000] = 133.908514011;
  atomic_mass_map[581340000] = 133.908928142;
  atomic_mass_map[591340000] = 133.915696729;
  atomic_mass_map[601340000] = 133.91879021;
  atomic_mass_map[611340000] = 133.928353;
  atomic_mass_map[621340000] = 133.93411;
  atomic_mass_map[631340000] = 133.9464;
  atomic_mass_map[641340000] = 133.95566;
  atomic_mass_map[491350000] = 134.95005;
  atomic_mass_map[501350000] = 134.934908606;
  atomic_mass_map[511350000] = 134.925185106;
  atomic_mass_map[521350000] = 134.916555706;
  atomic_mass_map[531350000] = 134.910048847;
  atomic_mass_map[541350000] = 134.90722778;
  atomic_mass_map[551350000] = 134.905977049;
  atomic_mass_map[561350000] = 134.905688375;
  atomic_mass_map[571350000] = 134.906984363;
  atomic_mass_map[581350000] = 134.909160599;
  atomic_mass_map[591350000] = 134.913111775;
  atomic_mass_map[601350000] = 134.918181321;
  atomic_mass_map[611350000] = 134.924823;
  atomic_mass_map[621350000] = 134.93252;
  atomic_mass_map[631350000] = 134.94187;
  atomic_mass_map[641350000] = 134.95245;
  atomic_mass_map[651350000] = 134.96476;
  atomic_mass_map[501360000] = 135.93999;
  atomic_mass_map[511360000] = 135.930745879;
  atomic_mass_map[521360000] = 135.920100608;
  atomic_mass_map[531360000] = 135.914604412;
  atomic_mass_map[541360000] = 135.907214484;
  atomic_mass_map[551360000] = 135.907311358;
  atomic_mass_map[561360000] = 135.904575727;
  atomic_mass_map[571360000] = 135.907634962;
  atomic_mass_map[581360000] = 135.907129205;
  atomic_mass_map[591360000] = 135.912677456;
  atomic_mass_map[601360000] = 135.914976064;
  atomic_mass_map[611360000] = 135.923584586;
  atomic_mass_map[621360000] = 135.928275556;
  atomic_mass_map[631360000] = 135.93962;
  atomic_mass_map[641360000] = 135.9473;
  atomic_mass_map[651360000] = 135.96129;
  atomic_mass_map[501370000] = 136.94655;
  atomic_mass_map[511370000] = 136.935555;
  atomic_mass_map[521370000] = 136.925598852;
  atomic_mass_map[531370000] = 136.918028188;
  atomic_mass_map[541370000] = 136.911557781;
  atomic_mass_map[551370000] = 136.907089231;
  atomic_mass_map[561370000] = 136.905827141;
  atomic_mass_map[571370000] = 136.906450385;
  atomic_mass_map[581370000] = 136.907762364;
  atomic_mass_map[591370000] = 136.91067915;
  atomic_mass_map[601370000] = 136.914562448;
  atomic_mass_map[611370000] = 136.920479523;
  atomic_mass_map[621370000] = 136.926970517;
  atomic_mass_map[631370000] = 136.93546;
  atomic_mass_map[641370000] = 136.94502;
  atomic_mass_map[651370000] = 136.95602;
  atomic_mass_map[501380000] = 137.95184;
  atomic_mass_map[511380000] = 137.94145;
  atomic_mass_map[521380000] = 137.929472226;
  atomic_mass_map[531380000] = 137.922726402;
  atomic_mass_map[541380000] = 137.914146273;
  atomic_mass_map[551380000] = 137.911017089;
  atomic_mass_map[561380000] = 137.905246995;
  atomic_mass_map[571380000] = 137.907114919;
  atomic_mass_map[581380000] = 137.905991089;
  atomic_mass_map[591380000] = 137.910754405;
  atomic_mass_map[601380000] = 137.911949718;
  atomic_mass_map[611380000] = 137.919548077;
  atomic_mass_map[621380000] = 137.923243991;
  atomic_mass_map[631380000] = 137.933709;
  atomic_mass_map[641380000] = 137.94025;
  atomic_mass_map[651380000] = 137.95312;
  atomic_mass_map[661380000] = 137.9625;
  atomic_mass_map[511390000] = 138.94655;
  atomic_mass_map[521390000] = 138.935367194;
  atomic_mass_map[531390000] = 138.926506206;
  atomic_mass_map[541390000] = 138.918792203;
  atomic_mass_map[551390000] = 138.913363758;
  atomic_mass_map[561390000] = 138.908841099;
  atomic_mass_map[571390000] = 138.906356256;
  atomic_mass_map[581390000] = 138.906655111;
  atomic_mass_map[591390000] = 138.908940762;
  atomic_mass_map[601390000] = 138.911953649;
  atomic_mass_map[611390000] = 138.91679967;
  atomic_mass_map[621390000] = 138.922296635;
  atomic_mass_map[631390000] = 138.92979231;
  atomic_mass_map[641390000] = 138.93813;
  atomic_mass_map[651390000] = 138.94833;
  atomic_mass_map[661390000] = 138.95959;
  atomic_mass_map[511400000] = 139.95283;
  atomic_mass_map[521400000] = 139.939498567;
  atomic_mass_map[531400000] = 139.931727;
  atomic_mass_map[541400000] = 139.921645817;
  atomic_mass_map[551400000] = 139.917283063;
  atomic_mass_map[561400000] = 139.91060573;
  atomic_mass_map[571400000] = 139.909480635;
  atomic_mass_map[581400000] = 139.905443107;
  atomic_mass_map[591400000] = 139.909080275;
  atomic_mass_map[601400000] = 139.909549849;
  atomic_mass_map[611400000] = 139.916039639;
  atomic_mass_map[621400000] = 139.918994717;
  atomic_mass_map[631400000] = 139.928087637;
  atomic_mass_map[641400000] = 139.933674;
  atomic_mass_map[651400000] = 139.945805049;
  atomic_mass_map[661400000] = 139.95402;
  atomic_mass_map[671400000] = 139.968589;
  atomic_mass_map[521410000] = 140.9458;
  atomic_mass_map[531410000] = 140.93569;
  atomic_mass_map[541410000] = 140.926787184;
  atomic_mass_map[551410000] = 140.920045491;
  atomic_mass_map[561410000] = 140.914403333;
  atomic_mass_map[571410000] = 140.91096603;
  atomic_mass_map[581410000] = 140.908280674;
  atomic_mass_map[591410000] = 140.907657568;
  atomic_mass_map[601410000] = 140.909614653;
  atomic_mass_map[611410000] = 140.913555084;
  atomic_mass_map[621410000] = 140.918481636;
  atomic_mass_map[631410000] = 140.924931754;
  atomic_mass_map[641410000] = 140.932126;
  atomic_mass_map[651410000] = 140.941448;
  atomic_mass_map[661410000] = 140.95128;
  atomic_mass_map[671410000] = 140.963108;
  atomic_mass_map[521420000] = 141.95022;
  atomic_mass_map[531420000] = 141.941202;
  atomic_mass_map[541420000] = 141.929973098;
  atomic_mass_map[551420000] = 141.924295991;
  atomic_mass_map[561420000] = 141.916432382;
  atomic_mass_map[571420000] = 141.91409089;
  atomic_mass_map[581420000] = 141.909250375;
  atomic_mass_map[591420000] = 141.910049607;
  atomic_mass_map[601420000] = 141.907728996;
  atomic_mass_map[611420000] = 141.912890411;
  atomic_mass_map[621420000] = 141.915204385;
  atomic_mass_map[631420000] = 141.92344169;
  atomic_mass_map[641420000] = 141.928116;
  atomic_mass_map[651420000] = 141.939280859;
  atomic_mass_map[661420000] = 141.946194;
  atomic_mass_map[671420000] = 141.96001;
  atomic_mass_map[681420000] = 141.9701;
  atomic_mass_map[521430000] = 142.95676;
  atomic_mass_map[531430000] = 142.94565;
  atomic_mass_map[541430000] = 142.935369554;
  atomic_mass_map[551430000] = 142.927349327;
  atomic_mass_map[561430000] = 142.920625293;
  atomic_mass_map[571430000] = 142.916079512;
  atomic_mass_map[581430000] = 142.91239212;
  atomic_mass_map[591430000] = 142.910822796;
  atomic_mass_map[601430000] = 142.909819989;
  atomic_mass_map[611430000] = 142.910938262;
  atomic_mass_map[621430000] = 142.914635303;
  atomic_mass_map[631430000] = 142.920298681;
  atomic_mass_map[641430000] = 142.926750682;
  atomic_mass_map[651430000] = 142.935137335;
  atomic_mass_map[661430000] = 142.943994335;
  atomic_mass_map[671430000] = 142.95486;
  atomic_mass_map[681430000] = 142.96662;
  atomic_mass_map[531440000] = 143.95139;
  atomic_mass_map[541440000] = 143.938945079;
  atomic_mass_map[551440000] = 143.932076313;
  atomic_mass_map[561440000] = 143.922954866;
  atomic_mass_map[571440000] = 143.919645589;
  atomic_mass_map[581440000] = 143.913652939;
  atomic_mass_map[591440000] = 143.913310859;
  atomic_mass_map[601440000] = 143.910092974;
  atomic_mass_map[611440000] = 143.912596396;
  atomic_mass_map[621440000] = 143.912006466;
  atomic_mass_map[631440000] = 143.918819553;
  atomic_mass_map[641440000] = 143.922963;
  atomic_mass_map[651440000] = 143.933045;
  atomic_mass_map[661440000] = 143.939269515;
  atomic_mass_map[671440000] = 143.952109715;
  atomic_mass_map[681440000] = 143.9607;
  atomic_mass_map[691440000] = 143.976283;
  atomic_mass_map[531450000] = 144.95605;
  atomic_mass_map[541450000] = 144.944719634;
  atomic_mass_map[551450000] = 144.935527435;
  atomic_mass_map[561450000] = 144.9275184;
  atomic_mass_map[571450000] = 144.921808068;
  atomic_mass_map[581450000] = 144.917265228;
  atomic_mass_map[591450000] = 144.914518156;
  atomic_mass_map[601450000] = 144.912579322;
  atomic_mass_map[611450000] = 144.912755935;
  atomic_mass_map[621450000] = 144.913417339;
  atomic_mass_map[631450000] = 144.916272629;
  atomic_mass_map[641450000] = 144.921712821;
  atomic_mass_map[651450000] = 144.928821947;
  atomic_mass_map[661450000] = 144.937473995;
  atomic_mass_map[671450000] = 144.947267395;
  atomic_mass_map[681450000] = 144.95805;
  atomic_mass_map[691450000] = 144.970389;
  atomic_mass_map[541460000] = 145.948518249;
  atomic_mass_map[551460000] = 145.940344271;
  atomic_mass_map[561460000] = 145.930283712;
  atomic_mass_map[571460000] = 145.925875174;
  atomic_mass_map[581460000] = 145.918802412;
  atomic_mass_map[591460000] = 145.91767985;
  atomic_mass_map[601460000] = 145.913122628;
  atomic_mass_map[611460000] = 145.914702396;
  atomic_mass_map[621460000] = 145.913046991;
  atomic_mass_map[631460000] = 145.917211039;
  atomic_mass_map[641460000] = 145.918318817;
  atomic_mass_map[651460000] = 145.927252984;
  atomic_mass_map[661460000] = 145.93284453;
  atomic_mass_map[671460000] = 145.944993506;
  atomic_mass_map[681460000] = 145.95241836;
  atomic_mass_map[691460000] = 145.966837;
  atomic_mass_map[541470000] = 146.95426;
  atomic_mass_map[551470000] = 146.944156156;
  atomic_mass_map[561470000] = 146.9353039;
  atomic_mass_map[571470000] = 146.9284178;
  atomic_mass_map[581470000] = 146.922689913;
  atomic_mass_map[591470000] = 146.919007518;
  atomic_mass_map[601470000] = 146.916106136;
  atomic_mass_map[611470000] = 146.915144988;
  atomic_mass_map[621470000] = 146.914904435;
  atomic_mass_map[631470000] = 146.916752659;
  atomic_mass_map[641470000] = 146.919101384;
  atomic_mass_map[651470000] = 146.924054788;
  atomic_mass_map[661470000] = 146.931082715;
  atomic_mass_map[671470000] = 146.940142296;
  atomic_mass_map[681470000] = 146.949964459;
  atomic_mass_map[691470000] = 146.961379891;
  atomic_mass_map[541480000] = 147.95813;
  atomic_mass_map[551480000] = 147.949225137;
  atomic_mass_map[561480000] = 147.938170578;
  atomic_mass_map[571480000] = 147.9326794;
  atomic_mass_map[581480000] = 147.924424225;
  atomic_mass_map[591480000] = 147.922130083;
  atomic_mass_map[601480000] = 147.916899294;
  atomic_mass_map[611480000] = 147.917481945;
  atomic_mass_map[621480000] = 147.914829226;
  atomic_mass_map[631480000] = 147.918089243;
  atomic_mass_map[641480000] = 147.918121511;
  atomic_mass_map[651480000] = 147.924281552;
  atomic_mass_map[661480000] = 147.927156571;
  atomic_mass_map[671480000] = 147.937743928;
  atomic_mass_map[681480000] = 147.944735029;
  atomic_mass_map[691480000] = 147.958384029;
  atomic_mass_map[701480000] = 147.96758;
  atomic_mass_map[551490000] = 148.95302;
  atomic_mass_map[561490000] = 148.94308;
  atomic_mass_map[571490000] = 148.93535126;
  atomic_mass_map[581490000] = 148.9284269;
  atomic_mass_map[591490000] = 148.9237361;
  atomic_mass_map[601490000] = 148.920154849;
  atomic_mass_map[611490000] = 148.918342277;
  atomic_mass_map[621490000] = 148.917192062;
  atomic_mass_map[631490000] = 148.917937763;
  atomic_mass_map[641490000] = 148.919348117;
  atomic_mass_map[651490000] = 148.923253549;
  atomic_mass_map[661490000] = 148.927321692;
  atomic_mass_map[671490000] = 148.933802646;
  atomic_mass_map[681490000] = 148.942306;
  atomic_mass_map[691490000] = 148.95289;
  atomic_mass_map[701490000] = 148.96436;
  atomic_mass_map[551500000] = 149.95833;
  atomic_mass_map[561500000] = 149.94605;
  atomic_mass_map[571500000] = 149.93947;
  atomic_mass_map[581500000] = 149.930384042;
  atomic_mass_map[591500000] = 149.926676502;
  atomic_mass_map[601500000] = 149.920902249;
  atomic_mass_map[611500000] = 149.920990941;
  atomic_mass_map[621500000] = 149.917282919;
  atomic_mass_map[631500000] = 149.919707671;
  atomic_mass_map[641500000] = 149.918664422;
  atomic_mass_map[651500000] = 149.923664941;
  atomic_mass_map[661500000] = 149.925593264;
  atomic_mass_map[671500000] = 149.933498408;
  atomic_mass_map[681500000] = 149.937915567;
  atomic_mass_map[691500000] = 149.95009;
  atomic_mass_map[701500000] = 149.95852;
  atomic_mass_map[711500000] = 149.973548;
  atomic_mass_map[551510000] = 150.96258;
  atomic_mass_map[561510000] = 150.95127;
  atomic_mass_map[571510000] = 150.94232;
  atomic_mass_map[581510000] = 150.9342722;
  atomic_mass_map[591510000] = 150.928309285;
  atomic_mass_map[601510000] = 150.923840289;
  atomic_mass_map[611510000] = 150.921217539;
  atomic_mass_map[621510000] = 150.919939796;
  atomic_mass_map[631510000] = 150.919857803;
  atomic_mass_map[641510000] = 150.92035595;
  atomic_mass_map[651510000] = 150.923109599;
  atomic_mass_map[661510000] = 150.926191564;
  atomic_mass_map[671510000] = 150.931698345;
  atomic_mass_map[681510000] = 150.937448567;
  atomic_mass_map[691510000] = 150.945487875;
  atomic_mass_map[701510000] = 150.955402497;
  atomic_mass_map[711510000] = 150.967677;
  atomic_mass_map[561520000] = 151.95481;
  atomic_mass_map[571520000] = 151.94682;
  atomic_mass_map[581520000] = 151.9366;
  atomic_mass_map[591520000] = 151.9315529;
  atomic_mass_map[601520000] = 151.924692216;
  atomic_mass_map[611520000] = 151.923506181;
  atomic_mass_map[621520000] = 151.919739721;
  atomic_mass_map[631520000] = 151.921752184;
  atomic_mass_map[641520000] = 151.919799494;
  atomic_mass_map[651520000] = 151.924082936;
  atomic_mass_map[661520000] = 151.924725286;
  atomic_mass_map[671520000] = 151.931723623;
  atomic_mass_map[681520000] = 151.935057085;
  atomic_mass_map[691520000] = 151.944422;
  atomic_mass_map[701520000] = 151.9502727;
  atomic_mass_map[711520000] = 151.96412;
  atomic_mass_map[561530000] = 152.96036;
  atomic_mass_map[571530000] = 152.95036;
  atomic_mass_map[581530000] = 152.94093;
  atomic_mass_map[591530000] = 152.933903539;
  atomic_mass_map[601530000] = 152.927717978;
  atomic_mass_map[611530000] = 152.924156686;
  atomic_mass_map[621530000] = 152.92210465;
  atomic_mass_map[631530000] = 152.921238003;
  atomic_mass_map[641530000] = 152.921758027;
  atomic_mass_map[651530000] = 152.923442403;
  atomic_mass_map[661530000] = 152.925772378;
  atomic_mass_map[671530000] = 152.930206429;
  atomic_mass_map[681530000] = 152.93508044;
  atomic_mass_map[691530000] = 152.942040101;
  atomic_mass_map[701530000] = 152.94932;
  atomic_mass_map[711530000] = 152.958751054;
  atomic_mass_map[721530000] = 152.97069;
  atomic_mass_map[571540000] = 153.95517;
  atomic_mass_map[581540000] = 153.9438;
  atomic_mass_map[591540000] = 153.937525741;
  atomic_mass_map[601540000] = 153.929484894;
  atomic_mass_map[611540000] = 153.926471531;
  atomic_mass_map[621540000] = 153.922216861;
  atomic_mass_map[631540000] = 153.922986962;
  atomic_mass_map[641540000] = 153.92087406;
  atomic_mass_map[651540000] = 153.924684767;
  atomic_mass_map[661540000] = 153.924429277;
  atomic_mass_map[671540000] = 153.930606834;
  atomic_mass_map[681540000] = 153.932790842;
  atomic_mass_map[691540000] = 153.941570033;
  atomic_mass_map[701540000] = 153.946395655;
  atomic_mass_map[711540000] = 153.957364;
  atomic_mass_map[721540000] = 153.96486;
  atomic_mass_map[571550000] = 154.95901;
  atomic_mass_map[581550000] = 154.94855;
  atomic_mass_map[591550000] = 154.940509281;
  atomic_mass_map[601550000] = 154.933135691;
  atomic_mass_map[611550000] = 154.928137048;
  atomic_mass_map[621550000] = 154.924647748;
  atomic_mass_map[631550000] = 154.922901107;
  atomic_mass_map[641550000] = 154.922630473;
  atomic_mass_map[651550000] = 154.923510547;
  atomic_mass_map[661550000] = 154.925759086;
  atomic_mass_map[671550000] = 154.929104049;
  atomic_mass_map[681550000] = 154.933215911;
  atomic_mass_map[691550000] = 154.93920966;
  atomic_mass_map[701550000] = 154.945783132;
  atomic_mass_map[711550000] = 154.9543206;
  atomic_mass_map[721550000] = 154.96311;
  atomic_mass_map[731550000] = 154.974245;
  atomic_mass_map[581560000] = 155.95183;
  atomic_mass_map[591560000] = 155.94464;
  atomic_mass_map[601560000] = 155.935078894;
  atomic_mass_map[611560000] = 155.931117516;
  atomic_mass_map[621560000] = 155.925536067;
  atomic_mass_map[631560000] = 155.924760494;
  atomic_mass_map[641560000] = 155.922131241;
  atomic_mass_map[651560000] = 155.924755181;
  atomic_mass_map[661560000] = 155.924284713;
  atomic_mass_map[671560000] = 155.929706112;
  atomic_mass_map[681560000] = 155.931067313;
  atomic_mass_map[691560000] = 155.938991573;
  atomic_mass_map[701560000] = 155.942824698;
  atomic_mass_map[711560000] = 155.953032522;
  atomic_mass_map[721560000] = 155.959347805;
  atomic_mass_map[731560000] = 155.97203;
  atomic_mass_map[581570000] = 156.95705;
  atomic_mass_map[591570000] = 156.94789;
  atomic_mass_map[601570000] = 156.939386061;
  atomic_mass_map[611570000] = 156.933121393;
  atomic_mass_map[621570000] = 156.928418698;
  atomic_mass_map[631570000] = 156.925433446;
  atomic_mass_map[641570000] = 156.923968569;
  atomic_mass_map[651570000] = 156.924033028;
  atomic_mass_map[661570000] = 156.92547066;
  atomic_mass_map[671570000] = 156.928254427;
  atomic_mass_map[681570000] = 156.931948658;
  atomic_mass_map[691570000] = 156.93694412;
  atomic_mass_map[701570000] = 156.942645349;
  atomic_mass_map[711570000] = 156.950126667;
  atomic_mass_map[721570000] = 156.958236;
  atomic_mass_map[731570000] = 156.968176167;
  atomic_mass_map[741570000] = 156.97884;
  atomic_mass_map[591580000] = 157.95241;
  atomic_mass_map[601580000] = 157.94197;
  atomic_mass_map[611580000] = 157.936565144;
  atomic_mass_map[621580000] = 157.929951004;
  atomic_mass_map[631580000] = 157.927798606;
  atomic_mass_map[641580000] = 157.924112348;
  atomic_mass_map[651580000] = 157.925420947;
  atomic_mass_map[661580000] = 157.924415875;
  atomic_mass_map[671580000] = 157.928945969;
  atomic_mass_map[681580000] = 157.929893474;
  atomic_mass_map[691580000] = 157.936979525;
  atomic_mass_map[701580000] = 157.939870549;
  atomic_mass_map[711580000] = 157.949315507;
  atomic_mass_map[721580000] = 157.954801092;
  atomic_mass_map[731580000] = 157.966541;
  atomic_mass_map[741580000] = 157.974562;
  atomic_mass_map[591590000] = 158.95589;
  atomic_mass_map[601590000] = 158.94653;
  atomic_mass_map[611590000] = 158.939286502;
  atomic_mass_map[621590000] = 158.933217226;
  atomic_mass_map[631590000] = 158.929100067;
  atomic_mass_map[641590000] = 158.926396969;
  atomic_mass_map[651590000] = 158.92535471;
  atomic_mass_map[661590000] = 158.925746958;
  atomic_mass_map[671590000] = 158.927719703;
  atomic_mass_map[681590000] = 158.93069181;
  atomic_mass_map[691590000] = 158.934975;
  atomic_mass_map[701590000] = 158.940054623;
  atomic_mass_map[711590000] = 158.946635615;
  atomic_mass_map[721590000] = 158.953995669;
  atomic_mass_map[731590000] = 158.963022556;
  atomic_mass_map[741590000] = 158.972638;
  atomic_mass_map[751590000] = 158.984179;
  atomic_mass_map[601600000] = 159.9494;
  atomic_mass_map[611600000] = 159.9431;
  atomic_mass_map[621600000] = 159.935335311;
  atomic_mass_map[631600000] = 159.931850939;
  atomic_mass_map[641600000] = 159.927062411;
  atomic_mass_map[651600000] = 159.927175556;
  atomic_mass_map[661600000] = 159.925204646;
  atomic_mass_map[671600000] = 159.928736606;
  atomic_mass_map[681600000] = 159.92907713;
  atomic_mass_map[691600000] = 159.935263106;
  atomic_mass_map[701600000] = 159.937557406;
  atomic_mass_map[711600000] = 159.946033;
  atomic_mass_map[721600000] = 159.950690749;
  atomic_mass_map[731600000] = 159.96148751;
  atomic_mass_map[741600000] = 159.968462584;
  atomic_mass_map[751600000] = 159.981823;
  atomic_mass_map[601610000] = 160.95428;
  atomic_mass_map[611610000] = 160.94607;
  atomic_mass_map[621610000] = 160.93916017;
  atomic_mass_map[631610000] = 160.933664091;
  atomic_mass_map[641610000] = 160.929677476;
  atomic_mass_map[651610000] = 160.927577825;
  atomic_mass_map[661610000] = 160.926940492;
  atomic_mass_map[671610000] = 160.927861547;
  atomic_mass_map[681610000] = 160.930004599;
  atomic_mass_map[691610000] = 160.933549;
  atomic_mass_map[701610000] = 160.937907138;
  atomic_mass_map[711610000] = 160.943572;
  atomic_mass_map[721610000] = 160.95027837;
  atomic_mass_map[731610000] = 160.958452265;
  atomic_mass_map[741610000] = 160.967197;
  atomic_mass_map[751610000] = 160.977572951;
  atomic_mass_map[761610000] = 160.989029;
  atomic_mass_map[611620000] = 161.95022;
  atomic_mass_map[621620000] = 161.94146;
  atomic_mass_map[631620000] = 161.936988761;
  atomic_mass_map[641620000] = 161.930993017;
  atomic_mass_map[651620000] = 161.92949536;
  atomic_mass_map[661620000] = 161.926805573;
  atomic_mass_map[671620000] = 161.929102274;
  atomic_mass_map[681620000] = 161.928788364;
  atomic_mass_map[691620000] = 161.934002277;
  atomic_mass_map[701620000] = 161.935773604;
  atomic_mass_map[711620000] = 161.943282776;
  atomic_mass_map[721620000] = 161.947214837;
  atomic_mass_map[731620000] = 161.957294083;
  atomic_mass_map[741620000] = 161.963499142;
  atomic_mass_map[751620000] = 161.975844;
  atomic_mass_map[761620000] = 161.984431;
  atomic_mass_map[611630000] = 162.95357;
  atomic_mass_map[621630000] = 162.94555;
  atomic_mass_map[631630000] = 162.939195675;
  atomic_mass_map[641630000] = 162.934176855;
  atomic_mass_map[651630000] = 162.930654659;
  atomic_mass_map[661630000] = 162.928738284;
  atomic_mass_map[671630000] = 162.928741027;
  atomic_mass_map[681630000] = 162.930040797;
  atomic_mass_map[691630000] = 162.932659172;
  atomic_mass_map[701630000] = 162.936339632;
  atomic_mass_map[711630000] = 162.941179;
  atomic_mass_map[721630000] = 162.947112946;
  atomic_mass_map[731630000] = 162.95433711;
  atomic_mass_map[741630000] = 162.962524342;
  atomic_mass_map[751630000] = 162.97207986;
  atomic_mass_map[761630000] = 162.98241;
  atomic_mass_map[621640000] = 163.94836;
  atomic_mass_map[631640000] = 163.942744;
  atomic_mass_map[641640000] = 163.93583;
  atomic_mass_map[651640000] = 163.933357961;
  atomic_mass_map[661640000] = 163.929181874;
  atomic_mass_map[671640000] = 163.930240273;
  atomic_mass_map[681640000] = 163.929208791;
  atomic_mass_map[691640000] = 163.933543614;
  atomic_mass_map[701640000] = 163.934494934;
  atomic_mass_map[711640000] = 163.941339;
  atomic_mass_map[721640000] = 163.944370845;
  atomic_mass_map[731640000] = 163.953534;
  atomic_mass_map[741640000] = 163.958960683;
  atomic_mass_map[751640000] = 163.97045287;
  atomic_mass_map[761640000] = 163.978021712;
  atomic_mass_map[771640000] = 163.991909;
  atomic_mass_map[621650000] = 164.95297;
  atomic_mass_map[631650000] = 164.945587;
  atomic_mass_map[641650000] = 164.93936;
  atomic_mass_map[651650000] = 164.93498;
  atomic_mass_map[661650000] = 164.931710456;
  atomic_mass_map[671650000] = 164.930328835;
  atomic_mass_map[681650000] = 164.930734496;
  atomic_mass_map[691650000] = 164.93244314;
  atomic_mass_map[701650000] = 164.935270241;
  atomic_mass_map[711650000] = 164.939406758;
  atomic_mass_map[721650000] = 164.944567;
  atomic_mass_map[731650000] = 164.950780572;
  atomic_mass_map[741650000] = 164.958280788;
  atomic_mass_map[751650000] = 164.96710266;
  atomic_mass_map[761650000] = 164.976602;
  atomic_mass_map[771650000] = 164.987501;
  atomic_mass_map[631660000] = 165.94962;
  atomic_mass_map[641660000] = 165.94146;
  atomic_mass_map[651660000] = 165.937859521;
  atomic_mass_map[661660000] = 165.932813863;
  atomic_mass_map[671660000] = 165.932290927;
  atomic_mass_map[681660000] = 165.93029953;
  atomic_mass_map[691660000] = 165.9335606;
  atomic_mass_map[701660000] = 165.933874749;
  atomic_mass_map[711660000] = 165.939859;
  atomic_mass_map[721660000] = 165.94218;
  atomic_mass_map[731660000] = 165.950512;
  atomic_mass_map[741660000] = 165.95503121;
  atomic_mass_map[751660000] = 165.965760821;
  atomic_mass_map[761660000] = 165.972692476;
  atomic_mass_map[771660000] = 165.985664;
  atomic_mass_map[781660000] = 165.994855;
  atomic_mass_map[631670000] = 166.95289;
  atomic_mass_map[641670000] = 166.94545;
  atomic_mass_map[651670000] = 166.93996;
  atomic_mass_map[661670000] = 166.935661379;
  atomic_mass_map[671670000] = 166.93313855;
  atomic_mass_map[681670000] = 166.932054617;
  atomic_mass_map[691670000] = 166.932856192;
  atomic_mass_map[701670000] = 166.934952988;
  atomic_mass_map[711670000] = 166.93827;
  atomic_mass_map[721670000] = 166.9426;
  atomic_mass_map[731670000] = 166.948093;
  atomic_mass_map[741670000] = 166.95480456;
  atomic_mass_map[751670000] = 166.962595;
  atomic_mass_map[761670000] = 166.971548768;
  atomic_mass_map[771670000] = 166.981666315;
  atomic_mass_map[781670000] = 166.992695;
  atomic_mass_map[641680000] = 167.94808;
  atomic_mass_map[651680000] = 167.9434;
  atomic_mass_map[661680000] = 167.937133273;
  atomic_mass_map[671680000] = 167.935522173;
  atomic_mass_map[681680000] = 167.932376688;
  atomic_mass_map[691680000] = 167.934177409;
  atomic_mass_map[701680000] = 167.933889602;
  atomic_mass_map[711680000] = 167.938735635;
  atomic_mass_map[721680000] = 167.940568;
  atomic_mass_map[731680000] = 167.948047;
  atomic_mass_map[741680000] = 167.951805537;
  atomic_mass_map[751680000] = 167.961572608;
  atomic_mass_map[761680000] = 167.967807751;
  atomic_mass_map[771680000] = 167.979906642;
  atomic_mass_map[781680000] = 167.988128665;
  atomic_mass_map[641690000] = 168.9526;
  atomic_mass_map[651690000] = 168.94597;
  atomic_mass_map[661690000] = 168.940313531;
  atomic_mass_map[671690000] = 168.936878189;
  atomic_mass_map[681690000] = 168.93459685;
  atomic_mass_map[691690000] = 168.934217889;
  atomic_mass_map[701690000] = 168.935182512;
  atomic_mass_map[711690000] = 168.937644149;
  atomic_mass_map[721690000] = 168.941259;
  atomic_mass_map[731690000] = 168.946011;
  atomic_mass_map[741690000] = 168.951778845;
  atomic_mass_map[751690000] = 168.958766063;
  atomic_mass_map[761690000] = 168.967017574;
  atomic_mass_map[771690000] = 168.976298488;
  atomic_mass_map[781690000] = 168.986567;
  atomic_mass_map[791690000] = 168.99808;
  atomic_mass_map[651700000] = 169.94984;
  atomic_mass_map[661700000] = 169.94239;
  atomic_mass_map[671700000] = 169.939624846;
  atomic_mass_map[681700000] = 169.93547023;
  atomic_mass_map[691700000] = 169.935806032;
  atomic_mass_map[701700000] = 169.934766376;
  atomic_mass_map[711700000] = 169.938478365;
  atomic_mass_map[721700000] = 169.939609;
  atomic_mass_map[731700000] = 169.946175;
  atomic_mass_map[741700000] = 169.949231588;
  atomic_mass_map[751700000] = 169.958220071;
  atomic_mass_map[761700000] = 169.963578454;
  atomic_mass_map[771700000] = 169.974922;
  atomic_mass_map[781700000] = 169.982496345;
  atomic_mass_map[791700000] = 169.995972;
  atomic_mass_map[651710000] = 170.95273;
  atomic_mass_map[661710000] = 170.94612;
  atomic_mass_map[671710000] = 170.941471022;
  atomic_mass_map[681710000] = 170.938035681;
  atomic_mass_map[691710000] = 170.936433871;
  atomic_mass_map[701710000] = 170.936330208;
  atomic_mass_map[711710000] = 170.93791696;
  atomic_mass_map[721710000] = 170.940492;
  atomic_mass_map[731710000] = 170.944476;
  atomic_mass_map[741710000] = 170.949451;
  atomic_mass_map[751710000] = 170.955716;
  atomic_mass_map[761710000] = 170.963173969;
  atomic_mass_map[771710000] = 170.971640252;
  atomic_mass_map[781710000] = 170.981245248;
  atomic_mass_map[791710000] = 170.991875791;
  atomic_mass_map[801710000] = 171.003529;
  atomic_mass_map[661720000] = 171.94846;
  atomic_mass_map[671720000] = 171.94473;
  atomic_mass_map[681720000] = 171.939361858;
  atomic_mass_map[691720000] = 171.938405521;
  atomic_mass_map[701720000] = 171.936385872;
  atomic_mass_map[711720000] = 171.939089103;
  atomic_mass_map[721720000] = 171.939449716;
  atomic_mass_map[731720000] = 171.944895;
  atomic_mass_map[741720000] = 171.947292;
  atomic_mass_map[751720000] = 171.955419665;
  atomic_mass_map[761720000] = 171.960017317;
  atomic_mass_map[771720000] = 171.970607036;
  atomic_mass_map[781720000] = 171.977350921;
  atomic_mass_map[791720000] = 171.989942284;
  atomic_mass_map[801720000] = 171.998808967;
  atomic_mass_map[661730000] = 172.95283;
  atomic_mass_map[671730000] = 172.94702;
  atomic_mass_map[681730000] = 172.9424;
  atomic_mass_map[691730000] = 172.939608371;
  atomic_mass_map[701730000] = 172.938215136;
  atomic_mass_map[711730000] = 172.938934029;
  atomic_mass_map[721730000] = 172.940513;
  atomic_mass_map[731730000] = 172.94375;
  atomic_mass_map[741730000] = 172.947689;
  atomic_mass_map[751730000] = 172.953243;
  atomic_mass_map[761730000] = 172.959808465;
  atomic_mass_map[771730000] = 172.967505636;
  atomic_mass_map[781730000] = 172.976443058;
  atomic_mass_map[791730000] = 172.986240924;
  atomic_mass_map[801730000] = 172.997091;
  atomic_mass_map[671740000] = 173.95095;
  atomic_mass_map[681740000] = 173.94423;
  atomic_mass_map[691740000] = 173.942172953;
  atomic_mass_map[701740000] = 173.938866437;
  atomic_mass_map[711740000] = 173.940340854;
  atomic_mass_map[721740000] = 173.940046141;
  atomic_mass_map[731740000] = 173.944454;
  atomic_mass_map[741740000] = 173.946079;
  atomic_mass_map[751740000] = 173.953115;
  atomic_mass_map[761740000] = 173.957063507;
  atomic_mass_map[771740000] = 173.966861045;
  atomic_mass_map[781740000] = 173.972819528;
  atomic_mass_map[791740000] = 173.984717;
  atomic_mass_map[801740000] = 173.992864748;
  atomic_mass_map[671750000] = 174.95362;
  atomic_mass_map[681750000] = 174.94777;
  atomic_mass_map[691750000] = 174.9438412;
  atomic_mass_map[701750000] = 174.941280797;
  atomic_mass_map[711750000] = 174.940775191;
  atomic_mass_map[721750000] = 174.941509187;
  atomic_mass_map[731750000] = 174.943737;
  atomic_mass_map[741750000] = 174.946717;
  atomic_mass_map[751750000] = 174.951381;
  atomic_mass_map[761750000] = 174.956945313;
  atomic_mass_map[771750000] = 174.964149589;
  atomic_mass_map[781750000] = 174.972409721;
  atomic_mass_map[791750000] = 174.981303712;
  atomic_mass_map[801750000] = 174.991440747;
  atomic_mass_map[681760000] = 175.94994;
  atomic_mass_map[691760000] = 175.946999449;
  atomic_mass_map[701760000] = 175.942576447;
  atomic_mass_map[711760000] = 175.94268968;
  atomic_mass_map[721760000] = 175.941407628;
  atomic_mass_map[731760000] = 175.944857;
  atomic_mass_map[741760000] = 175.945634;
  atomic_mass_map[751760000] = 175.951623;
  atomic_mass_map[761760000] = 175.954806;
  atomic_mass_map[771760000] = 175.963650389;
  atomic_mass_map[781760000] = 175.968938362;
  atomic_mass_map[791760000] = 175.980250432;
  atomic_mass_map[801760000] = 175.987360863;
  atomic_mass_map[811760000] = 176.000624028;
  atomic_mass_map[681770000] = 176.95399;
  atomic_mass_map[691770000] = 176.94904;
  atomic_mass_map[701770000] = 176.945265586;
  atomic_mass_map[711770000] = 176.943761525;
  atomic_mass_map[721770000] = 176.943227717;
  atomic_mass_map[731770000] = 176.944479469;
  atomic_mass_map[741770000] = 176.946643;
  atomic_mass_map[751770000] = 176.950328;
  atomic_mass_map[761770000] = 176.954965628;
  atomic_mass_map[771770000] = 176.9613015;
  atomic_mass_map[781770000] = 176.968469537;
  atomic_mass_map[791770000] = 176.976870439;
  atomic_mass_map[801770000] = 176.986277319;
  atomic_mass_map[811770000] = 176.996430829;
  atomic_mass_map[691780000] = 177.95264;
  atomic_mass_map[701780000] = 177.946651444;
  atomic_mass_map[711780000] = 177.945958018;
  atomic_mass_map[721780000] = 177.943705833;
  atomic_mass_map[731780000] = 177.945678;
  atomic_mass_map[741780000] = 177.945883303;
  atomic_mass_map[751780000] = 177.950989;
  atomic_mass_map[761780000] = 177.953253627;
  atomic_mass_map[771780000] = 177.961082;
  atomic_mass_map[781780000] = 177.965649523;
  atomic_mass_map[791780000] = 177.97603192;
  atomic_mass_map[801780000] = 177.982483769;
  atomic_mass_map[811780000] = 177.994854;
  atomic_mass_map[821780000] = 178.003831243;
  atomic_mass_map[691790000] = 178.95534;
  atomic_mass_map[701790000] = 178.95004;
  atomic_mass_map[711790000] = 178.947330935;
  atomic_mass_map[721790000] = 178.945823212;
  atomic_mass_map[731790000] = 178.945936555;
  atomic_mass_map[741790000] = 178.947077043;
  atomic_mass_map[751790000] = 178.94998913;
  atomic_mass_map[761790000] = 178.953816881;
  atomic_mass_map[771790000] = 178.959120178;
  atomic_mass_map[781790000] = 178.965358953;
  atomic_mass_map[791790000] = 178.973173654;
  atomic_mass_map[801790000] = 178.981831329;
  atomic_mass_map[811790000] = 178.991110696;
  atomic_mass_map[821790000] = 179.002201112;
  atomic_mass_map[701800000] = 179.95212;
  atomic_mass_map[711800000] = 179.94988825;
  atomic_mass_map[721800000] = 179.946557042;
  atomic_mass_map[731800000] = 179.947464832;
  atomic_mass_map[741800000] = 179.946710805;
  atomic_mass_map[751800000] = 179.950791568;
  atomic_mass_map[761800000] = 179.952375485;
  atomic_mass_map[771800000] = 179.959229446;
  atomic_mass_map[781800000] = 179.963031955;
  atomic_mass_map[791800000] = 179.972523397;
  atomic_mass_map[801800000] = 179.978260335;
  atomic_mass_map[811800000] = 179.990056524;
  atomic_mass_map[821800000] = 179.997928286;
  atomic_mass_map[701810000] = 180.95589;
  atomic_mass_map[711810000] = 180.951908;
  atomic_mass_map[721810000] = 180.949108338;
  atomic_mass_map[731810000] = 180.947995769;
  atomic_mass_map[741810000] = 180.948197783;
  atomic_mass_map[751810000] = 180.950057673;
  atomic_mass_map[761810000] = 180.953247188;
  atomic_mass_map[771810000] = 180.957625456;
  atomic_mass_map[781810000] = 180.963097588;
  atomic_mass_map[791810000] = 180.970079047;
  atomic_mass_map[801810000] = 180.977819371;
  atomic_mass_map[811810000] = 180.986259979;
  atomic_mass_map[821810000] = 180.99665331;
  atomic_mass_map[711820000] = 181.95504;
  atomic_mass_map[721820000] = 181.950561185;
  atomic_mass_map[731820000] = 181.950151853;
  atomic_mass_map[741820000] = 181.948203945;
  atomic_mass_map[751820000] = 181.951209869;
  atomic_mass_map[761820000] = 181.952110187;
  atomic_mass_map[771820000] = 181.958076296;
  atomic_mass_map[781820000] = 181.961171823;
  atomic_mass_map[791820000] = 181.969617874;
  atomic_mass_map[801820000] = 181.974689351;
  atomic_mass_map[811820000] = 181.985713159;
  atomic_mass_map[821820000] = 181.992672466;
  atomic_mass_map[711830000] = 182.957363;
  atomic_mass_map[721830000] = 182.953530444;
  atomic_mass_map[731830000] = 182.95137262;
  atomic_mass_map[741830000] = 182.950222748;
  atomic_mass_map[751830000] = 182.950819638;
  atomic_mass_map[761830000] = 182.953124719;
  atomic_mass_map[771830000] = 182.956839968;
  atomic_mass_map[781830000] = 182.961596804;
  atomic_mass_map[791830000] = 182.967590635;
  atomic_mass_map[801830000] = 182.974444783;
  atomic_mass_map[811830000] = 182.982192839;
  atomic_mass_map[821830000] = 182.991872098;
  atomic_mass_map[711840000] = 183.96091;
  atomic_mass_map[721840000] = 183.955446243;
  atomic_mass_map[731840000] = 183.954007694;
  atomic_mass_map[741840000] = 183.950930916;
  atomic_mass_map[751840000] = 183.952522809;
  atomic_mass_map[761840000] = 183.952488536;
  atomic_mass_map[771840000] = 183.957476;
  atomic_mass_map[781840000] = 183.959915113;
  atomic_mass_map[791840000] = 183.967451524;
  atomic_mass_map[801840000] = 183.971713528;
  atomic_mass_map[811840000] = 183.981885851;
  atomic_mass_map[821840000] = 183.988135701;
  atomic_mass_map[831840000] = 184.001274756;
  atomic_mass_map[711850000] = 184.96362;
  atomic_mass_map[721850000] = 184.958862;
  atomic_mass_map[731850000] = 184.955559084;
  atomic_mass_map[741850000] = 184.953418974;
  atomic_mass_map[751850000] = 184.952954486;
  atomic_mass_map[761850000] = 184.954041741;
  atomic_mass_map[771850000] = 184.956698;
  atomic_mass_map[781850000] = 184.960613659;
  atomic_mass_map[791850000] = 184.965789569;
  atomic_mass_map[801850000] = 184.971899388;
  atomic_mass_map[811850000] = 184.97878905;
  atomic_mass_map[821850000] = 184.987610004;
  atomic_mass_map[831850000] = 184.9976;
  atomic_mass_map[721860000] = 185.960897;
  atomic_mass_map[731860000] = 185.958550667;
  atomic_mass_map[741860000] = 185.954362771;
  atomic_mass_map[751860000] = 185.954985595;
  atomic_mass_map[761860000] = 185.953835044;
  atomic_mass_map[771860000] = 185.957944153;
  atomic_mass_map[781860000] = 185.959350812;
  atomic_mass_map[791860000] = 185.965952703;
  atomic_mass_map[801860000] = 185.969362272;
  atomic_mass_map[811860000] = 185.978650841;
  atomic_mass_map[821860000] = 185.984238331;
  atomic_mass_map[831860000] = 185.996643681;
  atomic_mass_map[841860000] = 186.004393241;
  atomic_mass_map[721870000] = 186.96477;
  atomic_mass_map[731870000] = 186.960386;
  atomic_mass_map[741870000] = 186.957158841;
  atomic_mass_map[751870000] = 186.955750071;
  atomic_mass_map[761870000] = 186.955747422;
  atomic_mass_map[771870000] = 186.957542;
  atomic_mass_map[781870000] = 186.960616976;
  atomic_mass_map[791870000] = 186.964543155;
  atomic_mass_map[801870000] = 186.969814428;
  atomic_mass_map[811870000] = 186.975906348;
  atomic_mass_map[821870000] = 186.983910895;
  atomic_mass_map[831870000] = 186.993147184;
  atomic_mass_map[841870000] = 187.003041054;
  atomic_mass_map[721880000] = 187.96685;
  atomic_mass_map[731880000] = 187.963916;
  atomic_mass_map[741880000] = 187.958486177;
  atomic_mass_map[751880000] = 187.95811151;
  atomic_mass_map[761880000] = 187.955835174;
  atomic_mass_map[771880000] = 187.958828095;
  atomic_mass_map[781880000] = 187.959388889;
  atomic_mass_map[791880000] = 187.965349392;
  atomic_mass_map[801880000] = 187.967566887;
  atomic_mass_map[811880000] = 187.976020886;
  atomic_mass_map[821880000] = 187.980874815;
  atomic_mass_map[831880000] = 187.992286943;
  atomic_mass_map[841880000] = 187.999415569;
  atomic_mass_map[721890000] = 188.97084;
  atomic_mass_map[731890000] = 188.96583;
  atomic_mass_map[741890000] = 188.961763;
  atomic_mass_map[751890000] = 188.95922602;
  atomic_mass_map[761890000] = 188.958144162;
  atomic_mass_map[771890000] = 188.958715028;
  atomic_mass_map[781890000] = 188.960831282;
  atomic_mass_map[791890000] = 188.963948286;
  atomic_mass_map[801890000] = 188.968194927;
  atomic_mass_map[811890000] = 188.973588471;
  atomic_mass_map[821890000] = 188.980807;
  atomic_mass_map[831890000] = 188.989194984;
  atomic_mass_map[841890000] = 188.998473429;
  atomic_mass_map[731900000] = 189.96939;
  atomic_mass_map[741900000] = 189.963090589;
  atomic_mass_map[751900000] = 189.96174426;
  atomic_mass_map[761900000] = 189.958443702;
  atomic_mass_map[771900000] = 189.960541215;
  atomic_mass_map[781900000] = 189.959929707;
  atomic_mass_map[791900000] = 189.96469839;
  atomic_mass_map[801900000] = 189.966322735;
  atomic_mass_map[811900000] = 189.973828;
  atomic_mass_map[821900000] = 189.978081999;
  atomic_mass_map[831900000] = 189.988621561;
  atomic_mass_map[841900000] = 189.995100569;
  atomic_mass_map[731910000] = 190.97156;
  atomic_mass_map[741910000] = 190.966531;
  atomic_mass_map[751910000] = 190.963121551;
  atomic_mass_map[761910000] = 190.960926361;
  atomic_mass_map[771910000] = 190.960589293;
  atomic_mass_map[781910000] = 190.961672912;
  atomic_mass_map[791910000] = 190.963702248;
  atomic_mass_map[801910000] = 190.96715716;
  atomic_mass_map[811910000] = 190.971784199;
  atomic_mass_map[821910000] = 190.978276;
  atomic_mass_map[831910000] = 190.985786556;
  atomic_mass_map[841910000] = 190.994558462;
  atomic_mass_map[851910000] = 191.004147909;
  atomic_mass_map[731920000] = 191.97514;
  atomic_mass_map[741920000] = 191.96817;
  atomic_mass_map[751920000] = 191.966088;
  atomic_mass_map[761920000] = 191.961476998;
  atomic_mass_map[771920000] = 191.962600247;
  atomic_mass_map[781920000] = 191.961038746;
  atomic_mass_map[791920000] = 191.964813694;
  atomic_mass_map[801920000] = 191.965634702;
  atomic_mass_map[811920000] = 191.972225;
  atomic_mass_map[821920000] = 191.975775008;
  atomic_mass_map[831920000] = 191.985469058;
  atomic_mass_map[841920000] = 191.991335925;
  atomic_mass_map[851920000] = 192.003151707;
  atomic_mass_map[741930000] = 192.97178;
  atomic_mass_map[751930000] = 192.967541;
  atomic_mass_map[761930000] = 192.96414787;
  atomic_mass_map[771930000] = 192.962921587;
  atomic_mass_map[781930000] = 192.96298238;
  atomic_mass_map[791930000] = 192.964137257;
  atomic_mass_map[801930000] = 192.966652658;
  atomic_mass_map[811930000] = 192.970501998;
  atomic_mass_map[821930000] = 192.976173234;
  atomic_mass_map[831930000] = 192.982959813;
  atomic_mass_map[841930000] = 192.991025678;
  atomic_mass_map[851930000] = 192.999927418;
  atomic_mass_map[861930000] = 193.009707979;
  atomic_mass_map[741940000] = 193.97367;
  atomic_mass_map[751940000] = 193.97076;
  atomic_mass_map[761940000] = 193.96517724;
  atomic_mass_map[771940000] = 193.965073536;
  atomic_mass_map[781940000] = 193.96268085;
  atomic_mass_map[791940000] = 193.965417754;
  atomic_mass_map[801940000] = 193.965449112;
  atomic_mass_map[811940000] = 193.971081412;
  atomic_mass_map[821940000] = 193.97401225;
  atomic_mass_map[831940000] = 193.982785;
  atomic_mass_map[841940000] = 193.988186101;
  atomic_mass_map[851940000] = 193.999236139;
  atomic_mass_map[861940000] = 194.006144389;
  atomic_mass_map[751950000] = 194.97254;
  atomic_mass_map[761950000] = 194.968318;
  atomic_mass_map[771950000] = 194.96597473;
  atomic_mass_map[781950000] = 194.964791719;
  atomic_mass_map[791950000] = 194.965035225;
  atomic_mass_map[801950000] = 194.96672054;
  atomic_mass_map[811950000] = 194.969774268;
  atomic_mass_map[821950000] = 194.974542922;
  atomic_mass_map[831950000] = 194.980648781;
  atomic_mass_map[841950000] = 194.988125532;
  atomic_mass_map[851950000] = 194.996268546;
  atomic_mass_map[861950000] = 195.005421673;
  atomic_mass_map[751960000] = 195.9758;
  atomic_mass_map[761960000] = 195.969641463;
  atomic_mass_map[771960000] = 195.968397112;
  atomic_mass_map[781960000] = 195.964952091;
  atomic_mass_map[791960000] = 195.966569908;
  atomic_mass_map[801960000] = 195.96583256;
  atomic_mass_map[811960000] = 195.970481193;
  atomic_mass_map[821960000] = 195.972774233;
  atomic_mass_map[831960000] = 195.980666509;
  atomic_mass_map[841960000] = 195.985525902;
  atomic_mass_map[851960000] = 195.995799619;
  atomic_mass_map[861960000] = 196.002115998;
  atomic_mass_map[751970000] = 196.97799;
  atomic_mass_map[761970000] = 196.97283;
  atomic_mass_map[771970000] = 196.969655415;
  atomic_mass_map[781970000] = 196.967340687;
  atomic_mass_map[791970000] = 196.966568786;
  atomic_mass_map[801970000] = 196.967212847;
  atomic_mass_map[811970000] = 196.96957589;
  atomic_mass_map[821970000] = 196.973431166;
  atomic_mass_map[831970000] = 196.978865099;
  atomic_mass_map[841970000] = 196.985659522;
  atomic_mass_map[851970000] = 196.993189187;
  atomic_mass_map[861970000] = 197.00158462;
  atomic_mass_map[751980000] = 197.9816;
  atomic_mass_map[761980000] = 197.97441;
  atomic_mass_map[771980000] = 197.97228;
  atomic_mass_map[781980000] = 197.96789492;
  atomic_mass_map[791980000] = 197.96824242;
  atomic_mass_map[801980000] = 197.966768602;
  atomic_mass_map[811980000] = 197.970483065;
  atomic_mass_map[821980000] = 197.972034077;
  atomic_mass_map[831980000] = 197.979206;
  atomic_mass_map[841980000] = 197.983389132;
  atomic_mass_map[851980000] = 197.992784;
  atomic_mass_map[861980000] = 197.998679156;
  atomic_mass_map[761990000] = 198.97801;
  atomic_mass_map[771990000] = 198.973805301;
  atomic_mass_map[781990000] = 198.970595224;
  atomic_mass_map[791990000] = 198.968765282;
  atomic_mass_map[801990000] = 198.968280643;
  atomic_mass_map[811990000] = 198.969877;
  atomic_mass_map[821990000] = 198.97291268;
  atomic_mass_map[831990000] = 198.97767301;
  atomic_mass_map[841990000] = 198.983667115;
  atomic_mass_map[851990000] = 198.990527654;
  atomic_mass_map[861990000] = 198.998389856;
  atomic_mass_map[871990000] = 199.007258594;
  atomic_mass_map[762000000] = 199.97984;
  atomic_mass_map[772000000] = 199.9768;
  atomic_mass_map[782000000] = 199.971442807;
  atomic_mass_map[792000000] = 199.970756456;
  atomic_mass_map[802000000] = 199.96832659;
  atomic_mass_map[812000000] = 199.970963258;
  atomic_mass_map[822000000] = 199.971818893;
  atomic_mass_map[832000000] = 199.978131179;
  atomic_mass_map[842000000] = 199.98179879;
  atomic_mass_map[852000000] = 199.990351015;
  atomic_mass_map[862000000] = 199.995690431;
  atomic_mass_map[872000000] = 200.006586003;
  atomic_mass_map[762010000] = 200.98364;
  atomic_mass_map[772010000] = 200.97864;
  atomic_mass_map[782010000] = 200.974513112;
  atomic_mass_map[792010000] = 200.971657484;
  atomic_mass_map[802010000] = 200.970302839;
  atomic_mass_map[812010000] = 200.970822212;
  atomic_mass_map[822010000] = 200.972882917;
  atomic_mass_map[832010000] = 200.977010416;
  atomic_mass_map[842010000] = 200.982259806;
  atomic_mass_map[852010000] = 200.988417147;
  atomic_mass_map[862010000] = 200.99562801;
  atomic_mass_map[872010000] = 201.003866593;
  atomic_mass_map[882010000] = 201.012712;
  atomic_mass_map[762020000] = 201.98595;
  atomic_mass_map[772020000] = 201.98199;
  atomic_mass_map[782020000] = 201.975639;
  atomic_mass_map[792020000] = 201.973856;
  atomic_mass_map[802020000] = 201.9706434;
  atomic_mass_map[812020000] = 201.972102441;
  atomic_mass_map[822020000] = 201.972152026;
  atomic_mass_map[832020000] = 201.977733861;
  atomic_mass_map[842020000] = 201.980757657;
  atomic_mass_map[852020000] = 201.988630302;
  atomic_mass_map[862020000] = 201.993264277;
  atomic_mass_map[872020000] = 202.00332;
  atomic_mass_map[882020000] = 202.009759744;
  atomic_mass_map[772030000] = 202.98423;
  atomic_mass_map[782030000] = 202.97893;
  atomic_mass_map[792030000] = 202.975154446;
  atomic_mass_map[802030000] = 202.972872837;
  atomic_mass_map[812030000] = 202.972344593;
  atomic_mass_map[822030000] = 202.973391126;
  atomic_mass_map[832030000] = 202.976892779;
  atomic_mass_map[842030000] = 202.981416133;
  atomic_mass_map[852030000] = 202.98694299;
  atomic_mass_map[862030000] = 202.993387741;
  atomic_mass_map[872030000] = 203.000940729;
  atomic_mass_map[882030000] = 203.009304274;
  atomic_mass_map[772040000] = 203.9896;
  atomic_mass_map[782040000] = 203.98076;
  atomic_mass_map[792040000] = 203.977831;
  atomic_mass_map[802040000] = 203.973493981;
  atomic_mass_map[812040000] = 203.9738639;
  atomic_mass_map[822040000] = 203.973043981;
  atomic_mass_map[832040000] = 203.977836062;
  atomic_mass_map[842040000] = 203.980310339;
  atomic_mass_map[852040000] = 203.987251198;
  atomic_mass_map[862040000] = 203.991429922;
  atomic_mass_map[872040000] = 204.000652059;
  atomic_mass_map[882040000] = 204.006491866;
  atomic_mass_map[782050000] = 204.98608;
  atomic_mass_map[792050000] = 204.97985;
  atomic_mass_map[802050000] = 204.976073417;
  atomic_mass_map[812050000] = 204.974427801;
  atomic_mass_map[822050000] = 204.974482157;
  atomic_mass_map[832050000] = 204.977386694;
  atomic_mass_map[842050000] = 204.981203091;
  atomic_mass_map[852050000] = 204.986075861;
  atomic_mass_map[862050000] = 204.99171884;
  atomic_mass_map[872050000] = 204.998593858;
  atomic_mass_map[882050000] = 205.006268245;
  atomic_mass_map[782060000] = 205.98966;
  atomic_mass_map[792060000] = 205.98474;
  atomic_mass_map[802060000] = 205.977514401;
  atomic_mass_map[812060000] = 205.976110589;
  atomic_mass_map[822060000] = 205.974465683;
  atomic_mass_map[832060000] = 205.978499317;
  atomic_mass_map[842060000] = 205.980473991;
  atomic_mass_map[852060000] = 205.986656933;
  atomic_mass_map[862060000] = 205.990214219;
  atomic_mass_map[872060000] = 205.998666132;
  atomic_mass_map[882060000] = 206.003828053;
  atomic_mass_map[892060000] = 206.014452;
  atomic_mass_map[792070000] = 206.9884;
  atomic_mass_map[802070000] = 206.9823;
  atomic_mass_map[812070000] = 206.977419712;
  atomic_mass_map[822070000] = 206.975897297;
  atomic_mass_map[832070000] = 206.978471022;
  atomic_mass_map[842070000] = 206.981593762;
  atomic_mass_map[852070000] = 206.985800332;
  atomic_mass_map[862070000] = 206.990730254;
  atomic_mass_map[872070000] = 206.996946478;
  atomic_mass_map[882070000] = 207.003799159;
  atomic_mass_map[892070000] = 207.01196583;
  atomic_mass_map[792080000] = 207.99345;
  atomic_mass_map[802080000] = 207.985759;
  atomic_mass_map[812080000] = 207.982019001;
  atomic_mass_map[822080000] = 207.976652481;
  atomic_mass_map[832080000] = 207.97974253;
  atomic_mass_map[842080000] = 207.981246092;
  atomic_mass_map[852080000] = 207.986613302;
  atomic_mass_map[862080000] = 207.989634687;
  atomic_mass_map[872080000] = 207.997138132;
  atomic_mass_map[882080000] = 208.001841122;
  atomic_mass_map[892080000] = 208.011550406;
  atomic_mass_map[902080000] = 208.017900275;
  atomic_mass_map[792090000] = 208.99735;
  atomic_mass_map[802090000] = 208.99072;
  atomic_mass_map[812090000] = 208.985359353;
  atomic_mass_map[822090000] = 208.981090461;
  atomic_mass_map[832090000] = 208.980399068;
  atomic_mass_map[842090000] = 208.982430836;
  atomic_mass_map[852090000] = 208.986170215;
  atomic_mass_map[862090000] = 208.99041451;
  atomic_mass_map[872090000] = 208.995954932;
  atomic_mass_map[882090000] = 209.001990455;
  atomic_mass_map[892090000] = 209.009494762;
  atomic_mass_map[902090000] = 209.017752974;
  atomic_mass_map[792100000] = 210.0025;
  atomic_mass_map[802100000] = 209.99424;
  atomic_mass_map[812100000] = 209.990073958;
  atomic_mass_map[822100000] = 209.984188861;
  atomic_mass_map[832100000] = 209.984120705;
  atomic_mass_map[842100000] = 209.982874076;
  atomic_mass_map[852100000] = 209.987147898;
  atomic_mass_map[862100000] = 209.989689107;
  atomic_mass_map[872100000] = 209.996422409;
  atomic_mass_map[882100000] = 210.000494169;
  atomic_mass_map[892100000] = 210.009436052;
  atomic_mass_map[902100000] = 210.015093642;
  atomic_mass_map[802110000] = 210.99933;
  atomic_mass_map[812110000] = 210.993475;
  atomic_mass_map[822110000] = 210.988737125;
  atomic_mass_map[832110000] = 210.987269741;
  atomic_mass_map[842110000] = 210.986653562;
  atomic_mass_map[852110000] = 210.987496614;
  atomic_mass_map[862110000] = 210.99060111;
  atomic_mass_map[872110000] = 210.995555723;
  atomic_mass_map[882110000] = 211.000893214;
  atomic_mass_map[892110000] = 211.007731899;
  atomic_mass_map[902110000] = 211.014929468;
  atomic_mass_map[802120000] = 212.00296;
  atomic_mass_map[812120000] = 211.998335;
  atomic_mass_map[822120000] = 211.991897703;
  atomic_mass_map[832120000] = 211.991286026;
  atomic_mass_map[842120000] = 211.988868376;
  atomic_mass_map[852120000] = 211.990737688;
  atomic_mass_map[862120000] = 211.990703919;
  atomic_mass_map[872120000] = 211.996225652;
  atomic_mass_map[882120000] = 211.999786715;
  atomic_mass_map[892120000] = 212.007813171;
  atomic_mass_map[902120000] = 212.012987595;
  atomic_mass_map[912120000] = 212.023202993;
  atomic_mass_map[802130000] = 213.00823;
  atomic_mass_map[812130000] = 213.001915;
  atomic_mass_map[822130000] = 212.996562894;
  atomic_mass_map[832130000] = 212.994385067;
  atomic_mass_map[842130000] = 212.992857623;
  atomic_mass_map[852130000] = 212.992936978;
  atomic_mass_map[862130000] = 212.993883069;
  atomic_mass_map[872130000] = 212.996186041;
  atomic_mass_map[882130000] = 213.000384258;
  atomic_mass_map[892130000] = 213.00660902;
  atomic_mass_map[902130000] = 213.013009223;
  atomic_mass_map[912130000] = 213.021109239;
  atomic_mass_map[802140000] = 214.012;
  atomic_mass_map[812140000] = 214.00694;
  atomic_mass_map[822140000] = 213.999805917;
  atomic_mass_map[832140000] = 213.998711926;
  atomic_mass_map[842140000] = 213.995201683;
  atomic_mass_map[852140000] = 213.996372066;
  atomic_mass_map[862140000] = 213.995362956;
  atomic_mass_map[872140000] = 213.998971333;
  atomic_mass_map[882140000] = 214.000099727;
  atomic_mass_map[892140000] = 214.006918488;
  atomic_mass_map[902140000] = 214.011500159;
  atomic_mass_map[912140000] = 214.020918483;
  atomic_mass_map[802150000] = 215.0174;
  atomic_mass_map[812150000] = 215.01064;
  atomic_mass_map[822150000] = 215.004741;
  atomic_mass_map[832150000] = 215.001769823;
  atomic_mass_map[842150000] = 214.999420146;
  atomic_mass_map[852150000] = 214.998652849;
  atomic_mass_map[862150000] = 214.99874589;
  atomic_mass_map[872150000] = 215.000341838;
  atomic_mass_map[882150000] = 215.00272042;
  atomic_mass_map[892150000] = 215.006474511;
  atomic_mass_map[902150000] = 215.011724774;
  atomic_mass_map[912150000] = 215.019182929;
  atomic_mass_map[802160000] = 216.02132;
  atomic_mass_map[812160000] = 216.0158;
  atomic_mass_map[822160000] = 216.00803;
  atomic_mass_map[832160000] = 216.006305989;
  atomic_mass_map[842160000] = 216.001915186;
  atomic_mass_map[852160000] = 216.002423555;
  atomic_mass_map[862160000] = 216.000271859;
  atomic_mass_map[872160000] = 216.003189865;
  atomic_mass_map[882160000] = 216.003533423;
  atomic_mass_map[892160000] = 216.008743482;
  atomic_mass_map[902160000] = 216.011056007;
  atomic_mass_map[912160000] = 216.019108913;
  atomic_mass_map[812170000] = 217.01966;
  atomic_mass_map[822170000] = 217.01314;
  atomic_mass_map[832170000] = 217.009372;
  atomic_mass_map[842170000] = 217.006318159;
  atomic_mass_map[852170000] = 217.004719222;
  atomic_mass_map[862170000] = 217.003928018;
  atomic_mass_map[872170000] = 217.004632282;
  atomic_mass_map[882170000] = 217.006320726;
  atomic_mass_map[892170000] = 217.009343872;
  atomic_mass_map[902170000] = 217.013116701;
  atomic_mass_map[912170000] = 217.018325363;
  atomic_mass_map[922170000] = 217.024661;
  atomic_mass_map[812180000] = 218.02479;
  atomic_mass_map[822180000] = 218.01659;
  atomic_mass_map[832180000] = 218.014188;
  atomic_mass_map[842180000] = 218.008973546;
  atomic_mass_map[852180000] = 218.008694723;
  atomic_mass_map[862180000] = 218.005601586;
  atomic_mass_map[872180000] = 218.007578653;
  atomic_mass_map[882180000] = 218.007140631;
  atomic_mass_map[892180000] = 218.01164164;
  atomic_mass_map[902180000] = 218.013276331;
  atomic_mass_map[912180000] = 218.020058579;
  atomic_mass_map[922180000] = 218.023523472;
  atomic_mass_map[822190000] = 219.02177;
  atomic_mass_map[832190000] = 219.01748;
  atomic_mass_map[842190000] = 219.013614;
  atomic_mass_map[852190000] = 219.011161848;
  atomic_mass_map[862190000] = 219.009480361;
  atomic_mass_map[872190000] = 219.009252427;
  atomic_mass_map[882190000] = 219.010085484;
  atomic_mass_map[892190000] = 219.01242073;
  atomic_mass_map[902190000] = 219.015537481;
  atomic_mass_map[912190000] = 219.019904029;
  atomic_mass_map[922190000] = 219.02499913;
  atomic_mass_map[932190000] = 219.03143;
  atomic_mass_map[822200000] = 220.02541;
  atomic_mass_map[832200000] = 220.02235;
  atomic_mass_map[842200000] = 220.016386;
  atomic_mass_map[852200000] = 220.015433;
  atomic_mass_map[862200000] = 220.01139413;
  atomic_mass_map[872200000] = 220.012327702;
  atomic_mass_map[882200000] = 220.011025872;
  atomic_mass_map[892200000] = 220.014754854;
  atomic_mass_map[902200000] = 220.015748148;
  atomic_mass_map[912200000] = 220.021705;
  atomic_mass_map[922200000] = 220.02462;
  atomic_mass_map[932200000] = 220.03254;
  atomic_mass_map[832210000] = 221.02587;
  atomic_mass_map[842210000] = 221.021228;
  atomic_mass_map[852210000] = 221.018017;
  atomic_mass_map[862210000] = 221.015537076;
  atomic_mass_map[872210000] = 221.014255163;
  atomic_mass_map[882210000] = 221.01391768;
  atomic_mass_map[892210000] = 221.015591579;
  atomic_mass_map[902210000] = 221.018184072;
  atomic_mass_map[912210000] = 221.021874941;
  atomic_mass_map[922210000] = 221.026284;
  atomic_mass_map[932210000] = 221.03204;
  atomic_mass_map[832220000] = 222.03078;
  atomic_mass_map[842220000] = 222.02414;
  atomic_mass_map[852220000] = 222.022494;
  atomic_mass_map[862220000] = 222.017578246;
  atomic_mass_map[872220000] = 222.017552192;
  atomic_mass_map[882220000] = 222.015374846;
  atomic_mass_map[892220000] = 222.017844181;
  atomic_mass_map[902220000] = 222.018468521;
  atomic_mass_map[912220000] = 222.023784;
  atomic_mass_map[922220000] = 222.026003;
  atomic_mass_map[932220000] = 222.0333;
  atomic_mass_map[832230000] = 223.0345;
  atomic_mass_map[842230000] = 223.02907;
  atomic_mass_map[852230000] = 223.025151;
  atomic_mass_map[862230000] = 223.021889286;
  atomic_mass_map[872230000] = 223.019736013;
  atomic_mass_map[882230000] = 223.018502327;
  atomic_mass_map[892230000] = 223.019137747;
  atomic_mass_map[902230000] = 223.020811853;
  atomic_mass_map[912230000] = 223.023962614;
  atomic_mass_map[922230000] = 223.027739187;
  atomic_mass_map[932230000] = 223.03285;
  atomic_mass_map[832240000] = 224.03947;
  atomic_mass_map[842240000] = 224.03211;
  atomic_mass_map[852240000] = 224.029749;
  atomic_mass_map[862240000] = 224.024095805;
  atomic_mass_map[872240000] = 224.023398;
  atomic_mass_map[882240000] = 224.020211968;
  atomic_mass_map[892240000] = 224.021723163;
  atomic_mass_map[902240000] = 224.021464382;
  atomic_mass_map[912240000] = 224.025617614;
  atomic_mass_map[922240000] = 224.027605163;
  atomic_mass_map[932240000] = 224.03422;
  atomic_mass_map[842250000] = 225.03707;
  atomic_mass_map[852250000] = 225.03263;
  atomic_mass_map[862250000] = 225.028485574;
  atomic_mass_map[872250000] = 225.025572682;
  atomic_mass_map[882250000] = 225.023611857;
  atomic_mass_map[892250000] = 225.023229987;
  atomic_mass_map[902250000] = 225.023951363;
  atomic_mass_map[912250000] = 225.026131009;
  atomic_mass_map[922250000] = 225.02939135;
  atomic_mass_map[932250000] = 225.033910892;
  atomic_mass_map[842260000] = 226.04031;
  atomic_mass_map[852260000] = 226.03716;
  atomic_mass_map[862260000] = 226.030861382;
  atomic_mass_map[872260000] = 226.029566;
  atomic_mass_map[882260000] = 226.02541033;
  atomic_mass_map[892260000] = 226.026098383;
  atomic_mass_map[902260000] = 226.024903383;
  atomic_mass_map[912260000] = 226.027948082;
  atomic_mass_map[922260000] = 226.029339101;
  atomic_mass_map[932260000] = 226.035188;
  atomic_mass_map[842270000] = 227.04539;
  atomic_mass_map[852270000] = 227.04024;
  atomic_mass_map[862270000] = 227.035304396;
  atomic_mass_map[872270000] = 227.031869;
  atomic_mass_map[882270000] = 227.029178349;
  atomic_mass_map[892270000] = 227.027752283;
  atomic_mass_map[902270000] = 227.027704227;
  atomic_mass_map[912270000] = 227.028805351;
  atomic_mass_map[922270000] = 227.031156773;
  atomic_mass_map[932270000] = 227.034957129;
  atomic_mass_map[852280000] = 228.04475;
  atomic_mass_map[862280000] = 228.037835418;
  atomic_mass_map[872280000] = 228.035823175;
  atomic_mass_map[882280000] = 228.031070728;
  atomic_mass_map[892280000] = 228.031021547;
  atomic_mass_map[902280000] = 228.028741272;
  atomic_mass_map[912280000] = 228.031051673;
  atomic_mass_map[922280000] = 228.031371492;
  atomic_mass_map[932280000] = 228.036066866;
  atomic_mass_map[942280000] = 228.038732491;
  atomic_mass_map[852290000] = 229.04812;
  atomic_mass_map[862290000] = 229.042257277;
  atomic_mass_map[872290000] = 229.038298;
  atomic_mass_map[882290000] = 229.034942262;
  atomic_mass_map[892290000] = 229.032955884;
  atomic_mass_map[902290000] = 229.031762713;
  atomic_mass_map[912290000] = 229.032097236;
  atomic_mass_map[922290000] = 229.03350628;
  atomic_mass_map[932290000] = 229.036264139;
  atomic_mass_map[942290000] = 229.040143614;
  atomic_mass_map[862300000] = 230.04514;
  atomic_mass_map[872300000] = 230.042416349;
  atomic_mass_map[882300000] = 230.037054781;
  atomic_mass_map[892300000] = 230.036327;
  atomic_mass_map[902300000] = 230.03313413;
  atomic_mass_map[912300000] = 230.034541047;
  atomic_mass_map[922300000] = 230.033940096;
  atomic_mass_map[932300000] = 230.037827926;
  atomic_mass_map[942300000] = 230.039650283;
  atomic_mass_map[952300000] = 230.04609;
  atomic_mass_map[862310000] = 231.04987;
  atomic_mass_map[872310000] = 231.045158;
  atomic_mass_map[882310000] = 231.041027087;
  atomic_mass_map[892310000] = 231.038393;
  atomic_mass_map[902310000] = 231.036304628;
  atomic_mass_map[912310000] = 231.035884243;
  atomic_mass_map[922310000] = 231.036293861;
  atomic_mass_map[932310000] = 231.038245364;
  atomic_mass_map[942310000] = 231.041101511;
  atomic_mass_map[952310000] = 231.04556;
  atomic_mass_map[872320000] = 232.049368;
  atomic_mass_map[882320000] = 232.04347527;
  atomic_mass_map[892320000] = 232.042034;
  atomic_mass_map[902320000] = 232.03805576;
  atomic_mass_map[912320000] = 232.038591737;
  atomic_mass_map[922320000] = 232.037156297;
  atomic_mass_map[932320000] = 232.040109;
  atomic_mass_map[942320000] = 232.041184582;
  atomic_mass_map[952320000] = 232.04645;
  atomic_mass_map[962320000] = 232.049817;
  atomic_mass_map[872330000] = 233.05264;
  atomic_mass_map[882330000] = 233.047582;
  atomic_mass_map[892330000] = 233.044346;
  atomic_mass_map[902330000] = 233.041582278;
  atomic_mass_map[912330000] = 233.040247222;
  atomic_mass_map[922330000] = 233.039635525;
  atomic_mass_map[932330000] = 233.040740989;
  atomic_mass_map[942330000] = 233.042997716;
  atomic_mass_map[952330000] = 233.046445;
  atomic_mass_map[962330000] = 233.050770001;
  atomic_mass_map[882340000] = 234.050342;
  atomic_mass_map[892340000] = 234.048139;
  atomic_mass_map[902340000] = 234.043601407;
  atomic_mass_map[912340000] = 234.043307161;
  atomic_mass_map[922340000] = 234.040952306;
  atomic_mass_map[932340000] = 234.042895256;
  atomic_mass_map[942340000] = 234.043317387;
  atomic_mass_map[952340000] = 234.047731;
  atomic_mass_map[962340000] = 234.050160237;
  atomic_mass_map[972340000] = 234.057267;
  atomic_mass_map[882350000] = 235.05497;
  atomic_mass_map[892350000] = 235.05084;
  atomic_mass_map[902350000] = 235.047255;
  atomic_mass_map[912350000] = 235.045399;
  atomic_mass_map[922350000] = 235.043930131;
  atomic_mass_map[932350000] = 235.044063487;
  atomic_mass_map[942350000] = 235.045286206;
  atomic_mass_map[952350000] = 235.047908245;
  atomic_mass_map[962350000] = 235.051542;
  atomic_mass_map[972350000] = 235.05658;
  atomic_mass_map[892360000] = 236.054988;
  atomic_mass_map[902360000] = 236.049657;
  atomic_mass_map[912360000] = 236.048668;
  atomic_mass_map[922360000] = 236.04556821;
  atomic_mass_map[932360000] = 236.046569744;
  atomic_mass_map[942360000] = 236.046058109;
  atomic_mass_map[952360000] = 236.049428;
  atomic_mass_map[962360000] = 236.051374477;
  atomic_mass_map[972360000] = 236.05748;
  atomic_mass_map[892370000] = 237.05827;
  atomic_mass_map[902370000] = 237.053629;
  atomic_mass_map[912370000] = 237.051023;
  atomic_mass_map[922370000] = 237.048730378;
  atomic_mass_map[932370000] = 237.048173649;
  atomic_mass_map[942370000] = 237.04840983;
  atomic_mass_map[952370000] = 237.049996;
  atomic_mass_map[962370000] = 237.052869294;
  atomic_mass_map[972370000] = 237.0571;
  atomic_mass_map[982370000] = 237.062197789;
  atomic_mass_map[902380000] = 238.056496;
  atomic_mass_map[912380000] = 238.054637;
  atomic_mass_map[922380000] = 238.050788423;
  atomic_mass_map[932380000] = 238.050946611;
  atomic_mass_map[942380000] = 238.049560111;
  atomic_mass_map[952380000] = 238.051984542;
  atomic_mass_map[962380000] = 238.05308142;
  atomic_mass_map[972380000] = 238.058204;
  atomic_mass_map[982380000] = 238.06149;
  atomic_mass_map[902390000] = 239.06077;
  atomic_mass_map[912390000] = 239.05726;
  atomic_mass_map[922390000] = 239.054293475;
  atomic_mass_map[932390000] = 239.052939241;
  atomic_mass_map[942390000] = 239.052163591;
  atomic_mass_map[952390000] = 239.053024699;
  atomic_mass_map[962390000] = 239.054910117;
  atomic_mass_map[972390000] = 239.058241;
  atomic_mass_map[982390000] = 239.062529;
  atomic_mass_map[992390000] = 239.06823;
  atomic_mass_map[912400000] = 240.06098;
  atomic_mass_map[922400000] = 240.056593356;
  atomic_mass_map[932400000] = 240.056165427;
  atomic_mass_map[942400000] = 240.05381375;
  atomic_mass_map[952400000] = 240.055300384;
  atomic_mass_map[962400000] = 240.055529681;
  atomic_mass_map[972400000] = 240.059759;
  atomic_mass_map[982400000] = 240.062255728;
  atomic_mass_map[992400000] = 240.06892;
  atomic_mass_map[912410000] = 241.06408;
  atomic_mass_map[922410000] = 241.06033;
  atomic_mass_map[932410000] = 241.058252636;
  atomic_mass_map[942410000] = 241.056851661;
  atomic_mass_map[952410000] = 241.056829349;
  atomic_mass_map[962410000] = 241.05765317;
  atomic_mass_map[972410000] = 241.060155;
  atomic_mass_map[982410000] = 241.06369;
  atomic_mass_map[992410000] = 241.06856;
  atomic_mass_map[1002410000] = 241.07421;
  atomic_mass_map[922420000] = 242.062932;
  atomic_mass_map[932420000] = 242.061641379;
  atomic_mass_map[942420000] = 242.058742809;
  atomic_mass_map[952420000] = 242.059549364;
  atomic_mass_map[962420000] = 242.058836039;
  atomic_mass_map[972420000] = 242.061982;
  atomic_mass_map[982420000] = 242.063754274;
  atomic_mass_map[992420000] = 242.069567;
  atomic_mass_map[1002420000] = 242.07343;
  atomic_mass_map[922430000] = 243.06699;
  atomic_mass_map[932430000] = 243.06428;
  atomic_mass_map[942430000] = 243.062003595;
  atomic_mass_map[952430000] = 243.061381302;
  atomic_mass_map[962430000] = 243.061389325;
  atomic_mass_map[972430000] = 243.063007791;
  atomic_mass_map[982430000] = 243.065477;
  atomic_mass_map[992430000] = 243.06951;
  atomic_mass_map[1002430000] = 243.074465;
  atomic_mass_map[932440000] = 244.06785;
  atomic_mass_map[942440000] = 244.06420526;
  atomic_mass_map[952440000] = 244.064285052;
  atomic_mass_map[962440000] = 244.062752783;
  atomic_mass_map[972440000] = 244.065180979;
  atomic_mass_map[982440000] = 244.066000801;
  atomic_mass_map[992440000] = 244.070883;
  atomic_mass_map[1002440000] = 244.074038;
  atomic_mass_map[932450000] = 245.0708;
  atomic_mass_map[942450000] = 245.067826058;
  atomic_mass_map[952450000] = 245.066454834;
  atomic_mass_map[962450000] = 245.065491454;
  atomic_mass_map[972450000] = 245.066361821;
  atomic_mass_map[982450000] = 245.068048677;
  atomic_mass_map[992450000] = 245.071249;
  atomic_mass_map[1002450000] = 245.075349;
  atomic_mass_map[1012450000] = 245.080808;
  atomic_mass_map[942460000] = 246.070205458;
  atomic_mass_map[952460000] = 246.069775;
  atomic_mass_map[962460000] = 246.067223841;
  atomic_mass_map[972460000] = 246.068673126;
  atomic_mass_map[982460000] = 246.068805531;
  atomic_mass_map[992460000] = 246.072896;
  atomic_mass_map[1002460000] = 246.07535047;
  atomic_mass_map[1012460000] = 246.081713;
  atomic_mass_map[942470000] = 247.07419;
  atomic_mass_map[952470000] = 247.072093;
  atomic_mass_map[962470000] = 247.070354131;
  atomic_mass_map[972470000] = 247.070307302;
  atomic_mass_map[982470000] = 247.070965463;
  atomic_mass_map[992470000] = 247.073622017;
  atomic_mass_map[1002470000] = 247.076945;
  atomic_mass_map[1012470000] = 247.081522;
  atomic_mass_map[952480000] = 248.075753;
  atomic_mass_map[962480000] = 248.072349862;
  atomic_mass_map[972480000] = 248.073088;
  atomic_mass_map[982480000] = 248.072185066;
  atomic_mass_map[992480000] = 248.075471;
  atomic_mass_map[1002480000] = 248.077186463;
  atomic_mass_map[1012480000] = 248.082823;
  atomic_mass_map[1022480000] = 248.08655;
  atomic_mass_map[952490000] = 249.07848;
  atomic_mass_map[962490000] = 249.075954767;
  atomic_mass_map[972490000] = 249.074987676;
  atomic_mass_map[982490000] = 249.074853903;
  atomic_mass_map[992490000] = 249.076411;
  atomic_mass_map[1002490000] = 249.07892755;
  atomic_mass_map[1012490000] = 249.082914;
  atomic_mass_map[1022490000] = 249.087797;
  atomic_mass_map[962500000] = 250.078358313;
  atomic_mass_map[972500000] = 250.078316698;
  atomic_mass_map[982500000] = 250.076406244;
  atomic_mass_map[992500000] = 250.078612;
  atomic_mass_map[1002500000] = 250.079521034;
  atomic_mass_map[1012500000] = 250.084415;
  atomic_mass_map[1022500000] = 250.087562;
  atomic_mass_map[962510000] = 251.082286441;
  atomic_mass_map[972510000] = 251.080762009;
  atomic_mass_map[982510000] = 251.079588625;
  atomic_mass_map[992510000] = 251.079993586;
  atomic_mass_map[1002510000] = 251.08153989;
  atomic_mass_map[1012510000] = 251.084774376;
  atomic_mass_map[1022510000] = 251.088944;
  atomic_mass_map[1032510000] = 251.09418;
  atomic_mass_map[962520000] = 252.08487;
  atomic_mass_map[972520000] = 252.084311;
  atomic_mass_map[982520000] = 252.081627199;
  atomic_mass_map[992520000] = 252.082979865;
  atomic_mass_map[1002520000] = 252.08246706;
  atomic_mass_map[1012520000] = 252.086432;
  atomic_mass_map[1022520000] = 252.088966908;
  atomic_mass_map[1032520000] = 252.095264;
  atomic_mass_map[972530000] = 253.08688;
  atomic_mass_map[982530000] = 253.085134499;
  atomic_mass_map[992530000] = 253.084825715;
  atomic_mass_map[1002530000] = 253.085184571;
  atomic_mass_map[1012530000] = 253.087144;
  atomic_mass_map[1022530000] = 253.090564103;
  atomic_mass_map[1032530000] = 253.095091;
  atomic_mass_map[1042530000] = 253.100438;
  atomic_mass_map[972540000] = 254.0906;
  atomic_mass_map[982540000] = 254.087324263;
  atomic_mass_map[992540000] = 254.088022199;
  atomic_mass_map[1002540000] = 254.086854397;
  atomic_mass_map[1012540000] = 254.089592;
  atomic_mass_map[1022540000] = 254.090955661;
  atomic_mass_map[1032540000] = 254.096483;
  atomic_mass_map[1042540000] = 254.100053;
  atomic_mass_map[982550000] = 255.091048;
  atomic_mass_map[992550000] = 255.090274958;
  atomic_mass_map[1002550000] = 255.089964038;
  atomic_mass_map[1012550000] = 255.091084149;
  atomic_mass_map[1022550000] = 255.093191404;
  atomic_mass_map[1032550000] = 255.096562404;
  atomic_mass_map[1042550000] = 255.101268;
  atomic_mass_map[1052550000] = 255.107068;
  atomic_mass_map[982560000] = 256.093442;
  atomic_mass_map[992560000] = 256.093599;
  atomic_mass_map[1002560000] = 256.091774469;
  atomic_mass_map[1012560000] = 256.093889;
  atomic_mass_map[1022560000] = 256.09428287;
  atomic_mass_map[1032560000] = 256.09849403;
  atomic_mass_map[1042560000] = 256.101152218;
  atomic_mass_map[1052560000] = 256.10789;
  atomic_mass_map[992570000] = 257.095979;
  atomic_mass_map[1002570000] = 257.095106078;
  atomic_mass_map[1012570000] = 257.095542387;
  atomic_mass_map[1022570000] = 257.09688783;
  atomic_mass_map[1032570000] = 257.099418;
  atomic_mass_map[1042570000] = 257.10291812;
  atomic_mass_map[1052570000] = 257.107578;
  atomic_mass_map[992580000] = 258.09952;
  atomic_mass_map[1002580000] = 258.097077;
  atomic_mass_map[1012580000] = 258.098431496;
  atomic_mass_map[1022580000] = 258.098207;
  atomic_mass_map[1032580000] = 258.101755;
  atomic_mass_map[1042580000] = 258.103427679;
  atomic_mass_map[1052580000] = 258.109285;
  atomic_mass_map[1062580000] = 258.112983;
  atomic_mass_map[1002590000] = 259.100597;
  atomic_mass_map[1012590000] = 259.100511;
  atomic_mass_map[1022590000] = 259.101032;
  atomic_mass_map[1032590000] = 259.102902;
  atomic_mass_map[1042590000] = 259.105596;
  atomic_mass_map[1052590000] = 259.109491866;
  atomic_mass_map[1062590000] = 259.114396;
  atomic_mass_map[1002600000] = 260.102809;
  atomic_mass_map[1012600000] = 260.103653;
  atomic_mass_map[1022600000] = 260.102644;
  atomic_mass_map[1032600000] = 260.105505;
  atomic_mass_map[1042600000] = 260.106441;
  atomic_mass_map[1052600000] = 260.111297;
  atomic_mass_map[1062600000] = 260.114384105;
  atomic_mass_map[1072600000] = 260.121659;
  atomic_mass_map[1012610000] = 261.105828;
  atomic_mass_map[1022610000] = 261.105697;
  atomic_mass_map[1032610000] = 261.106884;
  atomic_mass_map[1042610000] = 261.108773401;
  atomic_mass_map[1052610000] = 261.111917;
  atomic_mass_map[1062610000] = 261.115949461;
  atomic_mass_map[1072610000] = 261.121455;
  atomic_mass_map[1012620000] = 262.109101;
  atomic_mass_map[1022620000] = 262.107464;
  atomic_mass_map[1032620000] = 262.109612;
  atomic_mass_map[1042620000] = 262.109925;
  atomic_mass_map[1052620000] = 262.114072;
  atomic_mass_map[1062620000] = 262.116336679;
  atomic_mass_map[1072620000] = 262.122967;
  atomic_mass_map[1022630000] = 263.110715;
  atomic_mass_map[1032630000] = 263.111359;
  atomic_mass_map[1042630000] = 263.112495;
  atomic_mass_map[1052630000] = 263.11499;
  atomic_mass_map[1062630000] = 263.118294;
  atomic_mass_map[1072630000] = 263.122916;
  atomic_mass_map[1082630000] = 263.128522;
  atomic_mass_map[1022640000] = 264.112734;
  atomic_mass_map[1032640000] = 264.114201;
  atomic_mass_map[1042640000] = 264.113879;
  atomic_mass_map[1052640000] = 264.117405;
  atomic_mass_map[1062640000] = 264.118931;
  atomic_mass_map[1072640000] = 264.124593;
  atomic_mass_map[1082640000] = 264.128356917;
  atomic_mass_map[1032650000] = 265.116193;
  atomic_mass_map[1042650000] = 265.116684;
  atomic_mass_map[1052650000] = 265.118613;
  atomic_mass_map[1062650000] = 265.121093;
  atomic_mass_map[1072650000] = 265.124914;
  atomic_mass_map[1082650000] = 265.129792986;
  atomic_mass_map[1092650000] = 265.135996;
  atomic_mass_map[1032660000] = 266.119831;
  atomic_mass_map[1042660000] = 266.118172;
  atomic_mass_map[1052660000] = 266.121029;
  atomic_mass_map[1062660000] = 266.121975;
  atomic_mass_map[1072660000] = 266.126794;
  atomic_mass_map[1082660000] = 266.1300464;
  atomic_mass_map[1092660000] = 266.137374;
  atomic_mass_map[1042670000] = 267.121789;
  atomic_mass_map[1052670000] = 267.122465;
  atomic_mass_map[1062670000] = 267.124357;
  atomic_mass_map[1072670000] = 267.127501;
  atomic_mass_map[1082670000] = 267.131673;
  atomic_mass_map[1092670000] = 267.137189;
  atomic_mass_map[1102670000] = 267.143768;
  atomic_mass_map[1042680000] = 268.123968;
  atomic_mass_map[1052680000] = 268.125671;
  atomic_mass_map[1062680000] = 268.125392;
  atomic_mass_map[1072680000] = 268.129692;
  atomic_mass_map[1082680000] = 268.131865;
  atomic_mass_map[1092680000] = 268.138649;
  atomic_mass_map[1102680000] = 268.143478;
  atomic_mass_map[1052690000] = 269.127911;
  atomic_mass_map[1062690000] = 269.128627;
  atomic_mass_map[1072690000] = 269.130416;
  atomic_mass_map[1082690000] = 269.133753;
  atomic_mass_map[1092690000] = 269.138822;
  atomic_mass_map[1102690000] = 269.144752124;
  atomic_mass_map[1052700000] = 270.131356;
  atomic_mass_map[1062700000] = 270.130427;
  atomic_mass_map[1072700000] = 270.133363;
  atomic_mass_map[1082700000] = 270.13429;
  atomic_mass_map[1092700000] = 270.140327;
  atomic_mass_map[1102700000] = 270.144584153;
  atomic_mass_map[1062710000] = 271.133933;
  atomic_mass_map[1072710000] = 271.135256;
  atomic_mass_map[1082710000] = 271.13717;
  atomic_mass_map[1092710000] = 271.140744;
  atomic_mass_map[1102710000] = 271.145946;
  atomic_mass_map[1062720000] = 272.13589;
  atomic_mass_map[1072720000] = 272.138264;
  atomic_mass_map[1082720000] = 272.138495;
  atomic_mass_map[1092720000] = 272.143406;
  atomic_mass_map[1102720000] = 272.14602;
  atomic_mass_map[1112720000] = 272.153273;
  atomic_mass_map[1062730000] = 273.13958;
  atomic_mass_map[1072730000] = 273.14024;
  atomic_mass_map[1082730000] = 273.141679;
  atomic_mass_map[1092730000] = 273.144399;
  atomic_mass_map[1102730000] = 273.14856;
  atomic_mass_map[1112730000] = 273.153127;
  atomic_mass_map[1072740000] = 274.143548;
  atomic_mass_map[1082740000] = 274.143304;
  atomic_mass_map[1092740000] = 274.147245;
  atomic_mass_map[1102740000] = 274.149411;
  atomic_mass_map[1112740000] = 274.155253;
  atomic_mass_map[1072750000] = 275.14567;
  atomic_mass_map[1082750000] = 275.146668;
  atomic_mass_map[1092750000] = 275.14882;
  atomic_mass_map[1102750000] = 275.152033;
  atomic_mass_map[1112750000] = 275.155939;
  atomic_mass_map[1082760000] = 276.148455;
  atomic_mass_map[1092760000] = 276.151594;
  atomic_mass_map[1102760000] = 276.153025;
  atomic_mass_map[1112760000] = 276.158334;
  atomic_mass_map[1122760000] = 276.16141;
  atomic_mass_map[1082770000] = 277.151899;
  atomic_mass_map[1092770000] = 277.153268;
  atomic_mass_map[1102770000] = 277.155914;
  atomic_mass_map[1112770000] = 277.159069;
  atomic_mass_map[1122770000] = 277.163641;
  atomic_mass_map[1092780000] = 278.156307;
  atomic_mass_map[1102780000] = 278.15704;
  atomic_mass_map[1112780000] = 278.161493;
  atomic_mass_map[1122780000] = 278.164156;
  atomic_mass_map[1132780000] = 278.170578;
  atomic_mass_map[1092790000] = 279.158075;
  atomic_mass_map[1102790000] = 279.160097;
  atomic_mass_map[1112790000] = 279.162722;
  atomic_mass_map[1122790000] = 279.166542;
  atomic_mass_map[1132790000] = 279.17095;
  atomic_mass_map[1102800000] = 280.161311;
  atomic_mass_map[1112800000] = 280.165138;
  atomic_mass_map[1122800000] = 280.167147;
  atomic_mass_map[1132800000] = 280.17293;
  atomic_mass_map[1102810000] = 281.164511;
  atomic_mass_map[1112810000] = 281.16636;
  atomic_mass_map[1122810000] = 281.169746;
  atomic_mass_map[1132810000] = 281.17348;
  atomic_mass_map[1112820000] = 282.169119;
  atomic_mass_map[1122820000] = 282.170496;
  atomic_mass_map[1132820000] = 282.175672;
  atomic_mass_map[1112830000] = 283.170544;
  atomic_mass_map[1122830000] = 283.17327;
  atomic_mass_map[1132830000] = 283.176571;
  atomic_mass_map[1122840000] = 284.174156;
  atomic_mass_map[1132840000] = 284.178727;
  atomic_mass_map[1122850000] = 285.177117;
  atomic_mass_map[1132850000] = 285.179727;
  atomic_mass_map[1142850000] = 285.183643;
  atomic_mass_map[1132860000] = 286.182208;
  atomic_mass_map[1142860000] = 286.184235;
  atomic_mass_map[1132870000] = 287.183389;
  atomic_mass_map[1142870000] = 287.186783;
  atomic_mass_map[1152870000] = 287.190704;
  atomic_mass_map[1142880000] = 288.187572;
  atomic_mass_map[1152880000] = 288.19274;
  atomic_mass_map[1142890000] = 289.190419;
  atomic_mass_map[1152890000] = 289.193627;
  atomic_mass_map[1162890000] = 289.198162;
  atomic_mass_map[1152900000] = 290.195975;
  atomic_mass_map[1162900000] = 290.198638;
  atomic_mass_map[1152910000] = 291.197071;
  atomic_mass_map[1162910000] = 291.201077;
  atomic_mass_map[1172910000] = 291.205535;
  atomic_mass_map[1162920000] = 292.201742;
  atomic_mass_map[1172920000] = 292.207463;
  atomic_mass_map[1162930000] = 293.204487;
  atomic_mass_map[1172930000] = 293.208236;
  atomic_mass_map[1182930000] = 293.213562;
  atomic_mass_map[1172940000] = 294.210462;
  atomic_mass_map[1182940000] = 294.213921;
  atomic_mass_map[1182950000] = 295.21624;
}

void pyne::_insert_abund_map() {
  natural_abund_map[10010000] = 99.9885;
  natural_abund_map[10020000] = 0.0115;
  natural_abund_map[20030000] = 0.000134;
  natural_abund_map[20040000] = 99.999866;
  natural_abund_map[30060000] = 7.59;
  natural_abund_map[30070000] = 92.41;
  natural_abund_map[40090000] = 100.0;
  natural_abund_map[50100000] = 19.9;
  natural_abund_map[50110000] = 80.1;
  natural_abund_map[60120000] = 98.93;
  natural_abund_map[60130000] = 1.07;
  natural_abund_map[70140000] = 99.636;
  natural_abund_map[70150000] = 0.364;
  natural_abund_map[80160000] = 99.757;
  natural_abund_map[80170000] = 0.038;
  natural_abund_map[80180000] = 0.205;
  natural_abund_map[90190000] = 100.0;
  natural_abund_map[100200000] = 90.48;
  natural_abund_map[100210000] = 0.27;
  natural_abund_map[100220000] = 9.25;
  natural_abund_map[110230000] = 100.0;
  natural_abund_map[120240000] = 78.99;
  natural_abund_map[120250000] = 10.00;
  natural_abund_map[120260000] = 11.01;
  natural_abund_map[130270000] = 100.0;
  natural_abund_map[140280000] = 92.223;
  natural_abund_map[140290000] = 4.685;
  natural_abund_map[140300000] = 3.092;
  natural_abund_map[150310000] = 100.0;
  natural_abund_map[160320000] = 94.99;
  natural_abund_map[160330000] = 0.75;
  natural_abund_map[160340000] = 4.25;
  natural_abund_map[160360000] = 0.01;
  natural_abund_map[170350000] = 75.76;
  natural_abund_map[170370000] = 24.24;
  natural_abund_map[180360000] = 0.3336;
  natural_abund_map[180380000] = 0.0629;
  natural_abund_map[180400000] = 99.6035;
  natural_abund_map[190390000] = 93.2581;
  natural_abund_map[190400000] = 0.0117;
  natural_abund_map[190410000] = 6.7302;
  natural_abund_map[200400000] = 96.941;
  natural_abund_map[200420000] = 0.647;
  natural_abund_map[200430000] = 0.135;
  natural_abund_map[200440000] = 2.086;
  natural_abund_map[200460000] = 0.004;
  natural_abund_map[200480000] = 0.187;
  natural_abund_map[210450000] = 100.0;
  natural_abund_map[220460000] = 8.25;
  natural_abund_map[220470000] = 7.44;
  natural_abund_map[220480000] = 73.72;
  natural_abund_map[220490000] = 5.41;
  natural_abund_map[220500000] = 5.18;
  natural_abund_map[230500000] = 0.250;
  natural_abund_map[230510000] = 99.750;
  natural_abund_map[240500000] = 4.345;
  natural_abund_map[240520000] = 83.789;
  natural_abund_map[240530000] = 9.501;
  natural_abund_map[240540000] = 2.365;
  natural_abund_map[250550000] = 100.0;
  natural_abund_map[260540000] = 5.845;
  natural_abund_map[260560000] = 91.754;
  natural_abund_map[260570000] = 2.119;
  natural_abund_map[260580000] = 0.282;
  natural_abund_map[270590000] = 100.0;
  natural_abund_map[280580000] = 68.077;
  natural_abund_map[280600000] = 26.223;
  natural_abund_map[280610000] = 1.1399;
  natural_abund_map[280620000] = 3.6346;
  natural_abund_map[280640000] = 0.9255;
  natural_abund_map[290630000] = 69.15;
  natural_abund_map[290650000] = 30.85;
  natural_abund_map[300640000] = 49.17;
  natural_abund_map[300660000] = 27.73;
  natural_abund_map[300670000] = 4.04;
  natural_abund_map[300680000] = 18.45;
  natural_abund_map[300700000] = 0.61;
  natural_abund_map[310690000] = 60.108;
  natural_abund_map[310710000] = 39.892;
  natural_abund_map[320700000] = 20.57;
  natural_abund_map[320720000] = 27.45;
  natural_abund_map[320730000] = 7.75;
  natural_abund_map[320740000] = 36.50;
  natural_abund_map[320760000] = 7.73;
  natural_abund_map[330750000] = 100.0;
  natural_abund_map[340740000] = 0.89;
  natural_abund_map[340760000] = 9.37;
  natural_abund_map[340770000] = 7.63;
  natural_abund_map[340780000] = 23.77;
  natural_abund_map[340800000] = 49.61;
  natural_abund_map[340820000] = 8.73;
  natural_abund_map[350790000] = 50.69;
  natural_abund_map[350810000] = 49.31;
  natural_abund_map[360780000] = 0.355;
  natural_abund_map[360800000] = 2.286;
  natural_abund_map[360820000] = 11.593;
  natural_abund_map[360830000] = 11.500;
  natural_abund_map[360840000] = 56.987;
  natural_abund_map[360860000] = 17.279;
  natural_abund_map[370850000] = 72.17;
  natural_abund_map[370870000] = 27.83;
  natural_abund_map[380840000] = 0.56;
  natural_abund_map[380860000] = 9.86;
  natural_abund_map[380870000] = 7.00;
  natural_abund_map[380880000] = 82.58;
  natural_abund_map[390890000] = 100.0;
  natural_abund_map[400900000] = 51.45;
  natural_abund_map[400910000] = 11.22;
  natural_abund_map[400920000] = 17.15;
  natural_abund_map[400940000] = 17.38;
  natural_abund_map[400960000] = 2.80;
  natural_abund_map[410930000] = 100.0;
  natural_abund_map[420920000] = 14.53;
  natural_abund_map[420940000] = 9.15;
  natural_abund_map[420950000] = 15.84;
  natural_abund_map[420960000] = 16.67;
  natural_abund_map[420970000] = 9.60;
  natural_abund_map[420980000] = 24.39;
  natural_abund_map[421000000] = 9.82;
  natural_abund_map[440960000] = 5.54;
  natural_abund_map[440980000] = 1.87;
  natural_abund_map[440990000] = 12.76;
  natural_abund_map[441000000] = 12.60;
  natural_abund_map[441010000] = 17.06;
  natural_abund_map[441020000] = 31.55;
  natural_abund_map[441040000] = 18.62;
  natural_abund_map[451030000] = 100.0;
  natural_abund_map[461020000] = 1.02;
  natural_abund_map[461040000] = 11.14;
  natural_abund_map[461050000] = 22.33;
  natural_abund_map[461060000] = 27.33;
  natural_abund_map[461080000] = 26.46;
  natural_abund_map[461100000] = 11.72;
  natural_abund_map[471070000] = 51.839;
  natural_abund_map[471090000] = 48.161;
  natural_abund_map[481060000] = 1.25;
  natural_abund_map[481080000] = 0.89;
  natural_abund_map[481100000] = 12.49;
  natural_abund_map[481110000] = 12.80;
  natural_abund_map[481120000] = 24.13;
  natural_abund_map[481130000] = 12.22;
  natural_abund_map[481140000] = 28.73;
  natural_abund_map[481160000] = 7.49;
  natural_abund_map[491130000] = 4.29;
  natural_abund_map[491150000] = 95.71;
  natural_abund_map[501120000] = 0.97;
  natural_abund_map[501140000] = 0.66;
  natural_abund_map[501150000] = 0.34;
  natural_abund_map[501160000] = 14.54;
  natural_abund_map[501170000] = 7.68;
  natural_abund_map[501180000] = 24.22;
  natural_abund_map[501190000] = 8.59;
  natural_abund_map[501200000] = 32.58;
  natural_abund_map[501220000] = 4.63;
  natural_abund_map[501240000] = 5.79;
  natural_abund_map[511210000] = 57.21;
  natural_abund_map[511230000] = 42.79;
  natural_abund_map[521200000] = 0.09;
  natural_abund_map[521220000] = 2.55;
  natural_abund_map[521230000] = 0.89;
  natural_abund_map[521240000] = 4.74;
  natural_abund_map[521250000] = 7.07;
  natural_abund_map[521260000] = 18.84;
  natural_abund_map[521280000] = 31.74;
  natural_abund_map[521300000] = 34.08;
  natural_abund_map[531270000] = 100.0;
  natural_abund_map[541240000] = 0.0952;
  natural_abund_map[541260000] = 0.0890;
  natural_abund_map[541280000] = 1.9102;
  natural_abund_map[541290000] = 26.4006;
  natural_abund_map[541300000] = 4.0710;
  natural_abund_map[541310000] = 21.2324;
  natural_abund_map[541320000] = 26.9086;
  natural_abund_map[541340000] = 10.4357;
  natural_abund_map[541360000] = 8.8573;
  natural_abund_map[551330000] = 100.0;
  natural_abund_map[561300000] = 0.106;
  natural_abund_map[561320000] = 0.101;
  natural_abund_map[561340000] = 2.417;
  natural_abund_map[561350000] = 6.592;
  natural_abund_map[561360000] = 7.854;
  natural_abund_map[561370000] = 11.232;
  natural_abund_map[561380000] = 71.698;
  natural_abund_map[571380000] = 0.08881;
  natural_abund_map[571390000] = 99.91119;
  natural_abund_map[581360000] = 0.185;
  natural_abund_map[581380000] = 0.251;
  natural_abund_map[581400000] = 88.450;
  natural_abund_map[581420000] = 11.114;
  natural_abund_map[591410000] = 100.0;
  natural_abund_map[601420000] = 27.152;
  natural_abund_map[601430000] = 12.174;
  natural_abund_map[601440000] = 23.798;
  natural_abund_map[601450000] = 8.293;
  natural_abund_map[601460000] = 17.189;
  natural_abund_map[601480000] = 5.756;
  natural_abund_map[601500000] = 5.638;
  natural_abund_map[621440000] = 3.07;
  natural_abund_map[621470000] = 14.99;
  natural_abund_map[621480000] = 11.24;
  natural_abund_map[621490000] = 13.82;
  natural_abund_map[621500000] = 7.38;
  natural_abund_map[621520000] = 26.75;
  natural_abund_map[621540000] = 22.75;
  natural_abund_map[631510000] = 47.81;
  natural_abund_map[631530000] = 52.19;
  natural_abund_map[641520000] = 0.20;
  natural_abund_map[641540000] = 2.18;
  natural_abund_map[641550000] = 14.80;
  natural_abund_map[641560000] = 20.47;
  natural_abund_map[641570000] = 15.65;
  natural_abund_map[641580000] = 24.84;
  natural_abund_map[641600000] = 21.86;
  natural_abund_map[651590000] = 100.0;
  natural_abund_map[661560000] = 0.056;
  natural_abund_map[661580000] = 0.095;
  natural_abund_map[661600000] = 2.329;
  natural_abund_map[661610000] = 18.889;
  natural_abund_map[661620000] = 25.475;
  natural_abund_map[661630000] = 24.896;
  natural_abund_map[661640000] = 28.260;
  natural_abund_map[671650000] = 100.0;
  natural_abund_map[681620000] = 0.139;
  natural_abund_map[681640000] = 1.601;
  natural_abund_map[681660000] = 33.503;
  natural_abund_map[681670000] = 22.869;
  natural_abund_map[681680000] = 26.978;
  natural_abund_map[681700000] = 14.910;
  natural_abund_map[691690000] = 100.0;
  natural_abund_map[701680000] = 0.123;
  natural_abund_map[701700000] = 2.982;
  natural_abund_map[701710000] = 14.09;
  natural_abund_map[701720000] = 21.68;
  natural_abund_map[701730000] = 16.103;
  natural_abund_map[701740000] = 32.026;
  natural_abund_map[701760000] = 12.996;
  natural_abund_map[711750000] = 97.401;
  natural_abund_map[711760000] = 2.599;
  natural_abund_map[721740000] = 0.16;
  natural_abund_map[721760000] = 5.26;
  natural_abund_map[721770000] = 18.60;
  natural_abund_map[721780000] = 27.28;
  natural_abund_map[721790000] = 13.62;
  natural_abund_map[721800000] = 35.08;
  natural_abund_map[731800000] = 0.01201;
  natural_abund_map[731810000] = 99.98799;
  natural_abund_map[741800000] = 0.12;
  natural_abund_map[741820000] = 26.50;
  natural_abund_map[741830000] = 14.31;
  natural_abund_map[741840000] = 30.64;
  natural_abund_map[741860000] = 28.43;
  natural_abund_map[751850000] = 37.40;
  natural_abund_map[751870000] = 62.60;
  natural_abund_map[761840000] = 0.02;
  natural_abund_map[761860000] = 1.59;
  natural_abund_map[761870000] = 1.96;
  natural_abund_map[761880000] = 13.24;
  natural_abund_map[761890000] = 16.15;
  natural_abund_map[761900000] = 26.26;
  natural_abund_map[761920000] = 40.78;
  natural_abund_map[771910000] = 37.3;
  natural_abund_map[771930000] = 62.7;
  natural_abund_map[781900000] = 0.012;
  natural_abund_map[781920000] = 0.782;
  natural_abund_map[781940000] = 32.86;
  natural_abund_map[781950000] = 33.78;
  natural_abund_map[781960000] = 25.21;
  natural_abund_map[781980000] = 7.356;
  natural_abund_map[791970000] = 100.0;
  natural_abund_map[801960000] = 0.15;
  natural_abund_map[801980000] = 9.97;
  natural_abund_map[801990000] = 16.87;
  natural_abund_map[802000000] = 23.10;
  natural_abund_map[802010000] = 13.18;
  natural_abund_map[802020000] = 29.86;
  natural_abund_map[802040000] = 6.87;
  natural_abund_map[812030000] = 29.52;
  natural_abund_map[812050000] = 70.48;
  natural_abund_map[822040000] = 1.4;
  natural_abund_map[822060000] = 24.1;
  natural_abund_map[822070000] = 22.1;
  natural_abund_map[822080000] = 52.4;
  natural_abund_map[832090000] = 100.0;
  natural_abund_map[902320000] = 100.0;
  natural_abund_map[912310000] = 100.0;
  natural_abund_map[922340000] = 0.0054;
  natural_abund_map[922350000] = 0.7204;
  natural_abund_map[922380000] = 99.2742;
}
//
// end of src/_atomic_data.cpp
//


//
// start of src/data.cpp
//
// Implements basic nuclear data functions.
#ifndef PYNE_IS_AMALGAMATED
#include "data.h"
#include "atomic_data.h"
#endif

//
// Math Helpers
//

const double pyne::pi = 3.14159265359;
const double pyne::N_A = 6.0221415e+23;
const double pyne::barns_per_cm2 = 1e24;
const double pyne::cm2_per_barn = 1e-24;
const double pyne::sec_per_day = 24.0 * 3600.0;
const double pyne::MeV_per_K = 8.617343e-11;
const double pyne::MeV_per_MJ = 6.2415096471204E+18;
const double pyne::Bq_per_Ci = 3.7e10;
const double pyne::Ci_per_Bq = 2.7027027e-11;


/********************************/
/*** data_checksums Functions ***/
/********************************/

std::map<std::string, std::string> pyne::get_data_checksums() {
    std::map<std::string, std::string> temp_map;
    // Initialization of dataset hashes
    temp_map["/atomic_mass"]="10edfdc662e35bdfab91beb89285efff";
    temp_map["/material_library"]="8b10864378fbd88538434679acf908cc";
    temp_map["/neutron/eaf_xs"]="29622c636c4a3a46802207b934f9516c";
    temp_map["/neutron/scattering_lengths"]="a24d391cc9dc0fc146392740bb97ead4";
    temp_map["/neutron/simple_xs"]="3d6e086977783dcdf07e5c6b0c2416be";
    temp_map["/decay"]="4f41f3e46f4306cc44449f08a20922e0";
    temp_map["/dose_factors"]="dafa32c24b2303850a0bebdf3e6b122e";
    return temp_map;
}

std::map<std::string, std::string> pyne::data_checksums =
  pyne::get_data_checksums();

/*****************************/
/*** atomic_mass Functions ***/
/*****************************/
std::map<int, double> pyne::atomic_mass_map = std::map<int, double>();

void pyne::_load_atomic_mass_map() {
  // Loads the important parts of atomic_wight table into atomic_mass_map

  //Check to see if the file is in HDF5 format.
  if (!pyne::file_exists(pyne::NUC_DATA_PATH)) {
    pyne::_load_atomic_mass_map_memory();
    return;
  }

  bool ish5 = H5Fis_hdf5(pyne::NUC_DATA_PATH.c_str());
  if (!ish5)
    throw h5wrap::FileNotHDF5(pyne::NUC_DATA_PATH);

  // Get the HDF5 compound type (table) description
  hid_t desc = H5Tcreate(H5T_COMPOUND, sizeof(atomic_mass_data));
  H5Tinsert(desc, "nuc",   HOFFSET(atomic_mass_data, nuc),   H5T_NATIVE_INT);
  H5Tinsert(desc, "mass",  HOFFSET(atomic_mass_data, mass),  H5T_NATIVE_DOUBLE);
  H5Tinsert(desc, "error", HOFFSET(atomic_mass_data, error), H5T_NATIVE_DOUBLE);
  H5Tinsert(desc, "abund", HOFFSET(atomic_mass_data, abund), H5T_NATIVE_DOUBLE);

  // Open the HDF5 file
  hid_t nuc_data_h5 = H5Fopen(pyne::NUC_DATA_PATH.c_str(), H5F_ACC_RDONLY, H5P_DEFAULT);

  // Open the data set
  hid_t atomic_mass_set = H5Dopen2(nuc_data_h5, "/atomic_mass", H5P_DEFAULT);
  hid_t atomic_mass_space = H5Dget_space(atomic_mass_set);
  int atomic_mass_length = H5Sget_simple_extent_npoints(atomic_mass_space);

  // Read in the data
  atomic_mass_data * atomic_mass_array = new atomic_mass_data[atomic_mass_length];
  H5Dread(atomic_mass_set, desc, H5S_ALL, H5S_ALL, H5P_DEFAULT, atomic_mass_array);

  // close the nuc_data library, before doing anything stupid
  H5Dclose(atomic_mass_set);
  H5Fclose(nuc_data_h5);

  // Ok now that we have the array of structs, put it in the map
  for(int n = 0; n < atomic_mass_length; n++) {
    atomic_mass_map.insert(std::pair<int, double>(atomic_mass_array[n].nuc, \
                                                  atomic_mass_array[n].mass));
    natural_abund_map.insert(std::pair<int, double>(atomic_mass_array[n].nuc, \
                                                    atomic_mass_array[n].abund));
  }

  delete[] atomic_mass_array;
}


double pyne::atomic_mass(int nuc) {
  // Find the nuclide's mass in AMU
  std::map<int, double>::iterator nuc_iter, nuc_end;

  nuc_iter = atomic_mass_map.find(nuc);
  nuc_end = atomic_mass_map.end();

  // First check if we already have the nuc mass in the map
  if (nuc_iter != nuc_end) {
    return (*nuc_iter).second;
  }

  // Next, fill up the map with values from the
  // nuc_data.h5, if the map is empty.
  if (atomic_mass_map.empty()) {
    // Don't fail if we can't load the library
    _load_atomic_mass_map();
    return atomic_mass(nuc);
  }

  double aw;
  int nucid = nucname::id(nuc);

  // If in an excited state, return the ground
  // state mass...not strictly true, but good guess.
  if (0 < nucid%10000) {
    aw = atomic_mass((nucid/10000)*10000);
    if (atomic_mass_map.count(nuc) != 1) {
      atomic_mass_map.insert(std::pair<int, double>(nuc, aw));
    }
    return aw;
  };

  // Finally, if none of these work,
  // take a best guess based on the
  // aaa number.
  aw = (double) ((nucid/10000)%1000);
  if (atomic_mass_map.count(nuc) != 1) {
    atomic_mass_map.insert(std::pair<int, double>(nuc, aw));
  }
  return aw;
}


double pyne::atomic_mass(char * nuc) {
  int nuc_zz = nucname::id(nuc);
  return atomic_mass(nuc_zz);
}


double pyne::atomic_mass(std::string nuc) {
  int nuc_zz = nucname::id(nuc);
  return atomic_mass(nuc_zz);
}


/*******************************/
/*** natural_abund functions ***/
/*******************************/

std::map<int, double> pyne::natural_abund_map = std::map<int, double>();

double pyne::natural_abund(int nuc) {
  // Find the nuclide's natural abundance
  std::map<int, double>::iterator nuc_iter, nuc_end;

  nuc_iter = natural_abund_map.find(nuc);
  nuc_end = natural_abund_map.end();

  // First check if we already have the nuc mass in the map
  if (nuc_iter != nuc_end)
    return (*nuc_iter).second;

  // Next, fill up the map with values from the
  // nuc_data.h5, if the map is empty.
  if (natural_abund_map.empty()) {
    // Don't fail if we can't load the library
      _load_atomic_mass_map();
      return natural_abund(nuc);
  }

  double na;
  int nucid = nucname::id(nuc);

  // If in an excited state, return the ground
  // state abundance...not strictly true, but good guess.
  if (0 < nucid%10000) {
    na = natural_abund((nucid/10000)*10000);
    natural_abund_map[nuc] = na;
    return na;
  }

  // Finally, if none of these work,
  // take a best guess based on the
  // aaa number.
  na = 0.0;
  natural_abund_map[nuc] = na;
  return na;
}


double pyne::natural_abund(char * nuc) {
  int nuc_zz = nucname::id(nuc);
  return natural_abund(nuc_zz);
}


double pyne::natural_abund(std::string nuc) {
  int nuc_zz = nucname::id(nuc);
  return natural_abund(nuc_zz);
}



/*************************/
/*** Q_value Functions ***/
/*************************/

void pyne::_load_q_val_map() {
  // Loads the important parts of q_value table into q_value_map

  //Check to see if the file is in HDF5 format.
  if (!pyne::file_exists(pyne::NUC_DATA_PATH))
    throw pyne::FileNotFound(pyne::NUC_DATA_PATH);

  bool ish5 = H5Fis_hdf5(pyne::NUC_DATA_PATH.c_str());
  if (!ish5)
    throw h5wrap::FileNotHDF5(pyne::NUC_DATA_PATH);

  // Get the HDF5 compound type (table) description
  hid_t desc = H5Tcreate(H5T_COMPOUND, sizeof(q_val_data));
  H5Tinsert(desc, "nuc", HOFFSET(q_val_data, nuc),  H5T_NATIVE_INT);
  H5Tinsert(desc, "q_val", HOFFSET(q_val_data, q_val), H5T_NATIVE_DOUBLE);
  H5Tinsert(desc, "gamma_frac", HOFFSET(q_val_data, gamma_frac), H5T_NATIVE_DOUBLE);

  // Open the HDF5 file
  hid_t nuc_data_h5 = H5Fopen(pyne::NUC_DATA_PATH.c_str(), H5F_ACC_RDONLY, H5P_DEFAULT);

  // Open the data set
  hid_t q_val_set = H5Dopen2(nuc_data_h5, "/decay/q_values", H5P_DEFAULT);
  hid_t q_val_space = H5Dget_space(q_val_set);
  int q_val_length = H5Sget_simple_extent_npoints(q_val_space);

  // Read in the data
  q_val_data * q_val_array = new q_val_data[q_val_length];
  H5Dread(q_val_set, desc, H5S_ALL, H5S_ALL, H5P_DEFAULT, q_val_array);

  // close the nuc_data library, before doing anything stupid
  H5Dclose(q_val_set);
  H5Fclose(nuc_data_h5);

  // Ok now that we have the array of structs, put it in the map
  for(int n = 0; n < q_val_length; n++) {
    q_val_map[q_val_array[n].nuc] = q_val_array[n].q_val;
    gamma_frac_map[q_val_array[n].nuc] = q_val_array[n].gamma_frac;
  }

  delete[] q_val_array;
}

std::map<int, double> pyne::q_val_map = std::map<int, double>();

double pyne::q_val(int nuc) {
  // Find the nuclide's q_val in MeV/fission
  std::map<int, double>::iterator nuc_iter, nuc_end;

  nuc_iter = q_val_map.find(nuc);
  nuc_end = q_val_map.end();

  // First check if we already have the nuc q_val in the map
  if (nuc_iter != nuc_end)
    return (*nuc_iter).second;

  // Next, fill up the map with values from the nuc_data.h5 if the map is empty.
  if (q_val_map.empty()) {
      _load_q_val_map();
      return q_val(nuc);
  };

  double qv;
  int nucid = nucname::id(nuc);
  if (nucid != nuc)
    return q_val(nucid);

  // If nuclide is not found, return 0
  qv = 0.0;
  q_val_map[nuc] = qv;
  return qv;
}


double pyne::q_val(const char * nuc) {
  int nuc_zz = nucname::id(nuc);
  return q_val(nuc_zz);
}


double pyne::q_val(std::string nuc) {
  int nuc_zz = nucname::id(nuc);
  return q_val(nuc_zz);
}


/****************************/
/*** gamma_frac functions ***/
/****************************/

std::map<int, double> pyne::gamma_frac_map = std::map<int, double>();

double pyne::gamma_frac(int nuc) {
  // Find the nuclide's fraction of Q that comes from gammas
  std::map<int, double>::iterator nuc_iter, nuc_end;

  nuc_iter = gamma_frac_map.find(nuc);
  nuc_end = gamma_frac_map.end();

  // First check if we already have the gamma_frac in the map
  if (nuc_iter != nuc_end)
    return (*nuc_iter).second;

  // Next, fill up the map with values from nuc_data.h5 if the map is empty.
  if (gamma_frac_map.empty()) {
      _load_q_val_map();
      return gamma_frac(nuc);
  }

  double gf;
  int nucid = nucname::id(nuc);
  if (nucid != nuc)
    return gamma_frac(nucid);

  // If nuclide is not found, return 0
  gf = 0.0;
  gamma_frac_map[nucid] = gf;
  return gf;
}


double pyne::gamma_frac(const char * nuc) {
  int nuc_zz = nucname::id(nuc);
  return gamma_frac(nuc_zz);
}


double pyne::gamma_frac(std::string nuc) {
  int nuc_zz = nucname::id(nuc);
  return gamma_frac(nuc_zz);
}


/*****************************/
/*** Dose Factor Functions ***/
/*****************************/
/***************************************************************************
This data is from: [Exposure Scenarios and Unit Dose Factors for the Hanford
Immobilized Low-Activity Tank Waste Performance Assessment, ref.
HNF-SD-WM-TI-707 Rev. 1 December 1999] Appendix O of HNF-5636 [DATA PACKAGES
FOR THE HANFORD IMMOBILIZED LOW-ACTIVITY TANK WASTE PERFORMANCE ASSESSMENT:
2001 VERSION]

Liability Disclaimer: The PyNE Development Team shall not be liable for any
loss or injury resulting from decisions made with this data.
**************************************************************************/

void pyne::_load_dose_map(std::map<int, dose>& dm, std::string source_path) {
  herr_t status;

  //Check to see if the file is in HDF5 format.
  if (!pyne::file_exists(pyne::NUC_DATA_PATH))
    throw pyne::FileNotFound(pyne::NUC_DATA_PATH);

  bool ish5 = H5Fis_hdf5(pyne::NUC_DATA_PATH.c_str());
  if (!ish5)
    throw h5wrap::FileNotHDF5(pyne::NUC_DATA_PATH);

  // Defining string type for lung model data
  hid_t string_type_;
  string_type_ = H5Tcopy(H5T_C_S1);
  H5Tset_size(string_type_, 1);
  H5Tset_strpad(string_type_, H5T_STR_NULLPAD);

  // Get the HDF5 compound type (table) description
  hid_t desc = H5Tcreate(H5T_COMPOUND, sizeof(dose));
  status = H5Tinsert(desc, "nuc", HOFFSET(dose, nuc), H5T_NATIVE_INT);
  status = H5Tinsert(desc, "ext_air_dose", HOFFSET(dose, ext_air_dose), H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "ratio", HOFFSET(dose, ratio), H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "ext_soil_dose", HOFFSET(dose, ext_soil_dose), H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "ingest_dose", HOFFSET(dose, ingest_dose), H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "fluid_frac", HOFFSET(dose, fluid_frac), H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "inhale_dose", HOFFSET(dose, inhale_dose), H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "lung_mod", HOFFSET(dose, lung_mod), string_type_);

  // Open the HDF5 file
  hid_t nuc_data_h5 = H5Fopen(pyne::NUC_DATA_PATH.c_str(), H5F_ACC_RDONLY, H5P_DEFAULT);

  // Convert source_path to proper format for HD5open
  const char * c = source_path.c_str();

  // Open the data set
  hid_t dose_set = H5Dopen2(nuc_data_h5, c, H5P_DEFAULT);
  hid_t dose_space = H5Dget_space(dose_set);
  int dose_length = H5Sget_simple_extent_npoints(dose_space);

  // Read in the data
  dose * dose_array = new dose[dose_length];
  H5Dread(dose_set, desc, H5S_ALL, H5S_ALL, H5P_DEFAULT, dose_array);

  // Put array of structs in the map
  for (int n = 0; n < dose_length; n++) {
    dm[dose_array[n].nuc] = dose_array[n];
  }

  // Close the nuc_data library
  H5Dclose(dose_set);
  H5Tclose(string_type_);
  H5Fclose(nuc_data_h5);

  delete[] dose_array;
}

///
/// Functions for Source Location in nuc_data.h5
/// and related Map Pointers
///

std::string source_string(int source) {
  std::string source_location;
  if (source == 1) {
    source_location = "/dose_factors/DOE";
  } else if (source == 2) {
    source_location = "/dose_factors/GENII";
  } else {
    source_location = "/dose_factors/EPA";
  }
  return source_location;
}

std::map<int, pyne::dose>& dose_source_map(int source) {
  std::map<int, pyne::dose>* dm;
  if (source == 1) {
    dm = &pyne::doe_dose_map;
  } else if (source == 2) {
    dm = &pyne::genii_dose_map;
  } else {
    dm = &pyne::epa_dose_map;
  }
  if (dm->empty()) {
      std::string source_path = source_string(source);
      _load_dose_map(*dm, source_path);
  }
  return *dm;
}

std::map<int, pyne::dose> pyne::epa_dose_map;
std::map<int, pyne::dose> pyne::doe_dose_map;
std::map<int, pyne::dose> pyne::genii_dose_map;

///
/// Functions for External Air and
/// Ratio of External Air to Inhalation Dose Factors
///

/// External Air
double pyne::ext_air_dose(int nuc, int source) {
  std::map<int, pyne::dose>& dm = dose_source_map(source);
  int nucid = nucname::id(nuc);

  if (dm.count(nucid)==1) {
    return dm[nucid].ext_air_dose;
  } else {
    return -1;
  }
}

double pyne::ext_air_dose(const char * nuc, int source) {
  int nuc_zz = nucname::id(nuc);
  return ext_air_dose(nuc_zz, source);
}


double pyne::ext_air_dose(std::string nuc, int source) {
  int nuc_zz = nucname::id(nuc);
  return ext_air_dose(nuc_zz, source);
}

/// Dose Ratio
double pyne::dose_ratio(int nuc, int source) {
  std::map<int, pyne::dose>& dm = dose_source_map(source);
  int nucid = nucname::id(nuc);

  if (dm.count(nucid)==1) {
    return dm[nucid].ratio;
  } else {
    return -1;
  }
}

double pyne::dose_ratio(const char * nuc, int source) {
  int nuc_zz = nucname::id(nuc);
  return dose_ratio(nuc_zz, source);
}


double pyne::dose_ratio(std::string nuc, int source) {
  int nuc_zz = nucname::id(nuc);
  return dose_ratio(nuc_zz, source);
}

///
/// Function for External Soil Dose Factors
///

double pyne::ext_soil_dose(int nuc, int source) {
  std::map<int, pyne::dose>& dm = dose_source_map(source);
  int nucid = nucname::id(nuc);

  if (dm.count(nucid)==1) {
    return dm[nucid].ext_soil_dose;
  } else {
    return -1;
  }
}

double pyne::ext_soil_dose(const char * nuc, int source) {
  int nuc_zz = nucname::id(nuc);
  return ext_soil_dose(nuc_zz, source);
}


double pyne::ext_soil_dose(std::string nuc, int source) {
  int nuc_zz = nucname::id(nuc);
  return ext_soil_dose(nuc_zz, source);
}

///
/// Functions for Ingestion Dose Factors and
/// Fraction of activity that is absorbed by body fluids
///

/// Ingestion
double pyne::ingest_dose(int nuc, int source) {
  std::map<int, pyne::dose>& dm = dose_source_map(source);
  int nucid = nucname::id(nuc);

  if (dm.count(nucid)==1) {
    return dm[nucid].ingest_dose;
  } else {
    return -1;
  }
}

double pyne::ingest_dose(const char * nuc, int source) {
  int nuc_zz = nucname::id(nuc);
  return ingest_dose(nuc_zz, source);
}

double pyne::ingest_dose(std::string nuc, int source) {
  int nuc_zz = nucname::id(nuc);
  return ingest_dose(nuc_zz, source);
}

/// Fluid Fraction
double pyne::dose_fluid_frac(int nuc, int source) {
  std::map<int, pyne::dose>& dm = dose_source_map(source);
  int nucid = nucname::id(nuc);

  if (dm.count(nucid)==1) {
    return dm[nucid].fluid_frac;
  } else {
    return -1;
  }
}

double pyne::dose_fluid_frac(const char * nuc, int source) {
  int nuc_zz = nucname::id(nuc);
  return dose_fluid_frac(nuc_zz, source);
}

double pyne::dose_fluid_frac(std::string nuc, int source) {
  int nuc_zz = nucname::id(nuc);
  return dose_fluid_frac(nuc_zz, source);
}

///
/// Functions for Inhalation Dose Factors and
/// Lung Model used to obtain dose factors
///

/// Inhalation
double pyne::inhale_dose(int nuc, int source) {
  std::map<int, pyne::dose>& dm = dose_source_map(source);
  int nucid = nucname::id(nuc);

  if (dm.count(nucid)==1) {
    return dm[nucid].inhale_dose;
  } else {
    return -1;
  }
}

double pyne::inhale_dose(const char * nuc, int source) {
  int nuc_zz = nucname::id(nuc);
  return inhale_dose(nuc_zz, source);
}

double pyne::inhale_dose(std::string nuc, int source) {
  int nuc_zz = nucname::id(nuc);
  return inhale_dose(nuc_zz, source);
}

/// Lung Model
std::string pyne::dose_lung_model(int nuc, int source) {
  std::map<int, pyne::dose>& dm = dose_source_map(source);
  int nucid = nucname::id(nuc);

  if (dm.count(nucid)==1) {
    return std::string(1, dm[nucid].lung_mod);
  } else {
    return "Nada";
  }
}

std::string pyne::dose_lung_model(const char * nuc, int source) {
  int nuc_zz = nucname::id(nuc);
  return dose_lung_model(nuc_zz, source);
}


std::string pyne::dose_lung_model(std::string nuc, int source) {
  int nuc_zz = nucname::id(nuc);
  return dose_lung_model(nuc_zz, source);
}


/***********************************/
/*** scattering length functions ***/
/***********************************/
std::map<int, xd_complex_t> pyne::b_coherent_map = std::map<int, xd_complex_t>();
std::map<int, xd_complex_t> pyne::b_incoherent_map = std::map<int, xd_complex_t>();
std::map<int, double> pyne::b_map = std::map<int, double>();


void pyne::_load_scattering_lengths() {
  // Loads the important parts of atomic_wight table into atomic_mass_map
  herr_t status;

  //Check to see if the file is in HDF5 format.
  if (!pyne::file_exists(pyne::NUC_DATA_PATH))
    throw pyne::FileNotFound(pyne::NUC_DATA_PATH);

  bool ish5 = H5Fis_hdf5(pyne::NUC_DATA_PATH.c_str());
  if (!ish5)
    throw h5wrap::FileNotHDF5(pyne::NUC_DATA_PATH);

  // Get the HDF5 compound type (table) description
  hid_t desc = H5Tcreate(H5T_COMPOUND, sizeof(scattering_lengths));
  status = H5Tinsert(desc, "nuc", HOFFSET(scattering_lengths, nuc), H5T_NATIVE_INT);
  status = H5Tinsert(desc, "b_coherent", HOFFSET(scattering_lengths, b_coherent),
                      h5wrap::PYTABLES_COMPLEX128);
  status = H5Tinsert(desc, "b_incoherent", HOFFSET(scattering_lengths, b_incoherent),
                      h5wrap::PYTABLES_COMPLEX128);
  status = H5Tinsert(desc, "xs_coherent", HOFFSET(scattering_lengths, xs_coherent),
                      H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "xs_incoherent", HOFFSET(scattering_lengths, xs_incoherent),
                      H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "xs", HOFFSET(scattering_lengths, xs), H5T_NATIVE_DOUBLE);

  // Open the HDF5 file
  hid_t nuc_data_h5 = H5Fopen(pyne::NUC_DATA_PATH.c_str(), H5F_ACC_RDONLY, H5P_DEFAULT);

  // Open the data set
  hid_t scat_len_set = H5Dopen2(nuc_data_h5, "/neutron/scattering_lengths", H5P_DEFAULT);
  hid_t scat_len_space = H5Dget_space(scat_len_set);
  int scat_len_length = H5Sget_simple_extent_npoints(scat_len_space);

  // Read in the data
  scattering_lengths * scat_len_array = new scattering_lengths[scat_len_length];
  status = H5Dread(scat_len_set, desc, H5S_ALL, H5S_ALL, H5P_DEFAULT, scat_len_array);

  // close the nuc_data library, before doing anything stupid
  status = H5Dclose(scat_len_set);
  status = H5Fclose(nuc_data_h5);

  // Ok now that we have the array of stucts, put it in the maps
  for(int n = 0; n < scat_len_length; n++) {
    b_coherent_map[scat_len_array[n].nuc] = scat_len_array[n].b_coherent;
    b_incoherent_map[scat_len_array[n].nuc] = scat_len_array[n].b_incoherent;
  }

  delete[] scat_len_array;
}



//
// Coherent functions
//


xd_complex_t pyne::b_coherent(int nuc) {
  // Find the nuclide's bound scattering length in cm
  std::map<int, xd_complex_t>::iterator nuc_iter, nuc_end;

  nuc_iter = b_coherent_map.find(nuc);
  nuc_end = b_coherent_map.end();

  // First check if we already have the nuc in the map
  if (nuc_iter != nuc_end)
    return (*nuc_iter).second;

  // Next, fill up the map with values from the
  // nuc_data.h5, if the map is empty.
  if (b_coherent_map.empty()) {
    _load_scattering_lengths();
    return b_coherent(nuc);
  }

  xd_complex_t bc;
  int nucid = nucname::id(nuc);
  int znum = nucname::znum(nucid);
  int anum = nucname::anum(nucid);

  // Try to find a nuclide with matching A-number
  nuc_iter = b_coherent_map.begin();
  while (nuc_iter != nuc_end) {
    if (anum == nucname::anum((*nuc_iter).first)) {
      bc = (*nuc_iter).second;
      b_coherent_map[nuc] = bc;
      return bc;
    }
    nuc_iter++;
  }

  // Try to find a nuclide with matching Z-number
  nuc_iter = b_coherent_map.begin();
  while (nuc_iter != nuc_end) {
    if (znum == nucname::znum((*nuc_iter).first)) {
      bc = (*nuc_iter).second;
      b_coherent_map[nuc] = bc;
      return bc;
    }
    nuc_iter++;
  }

  // Finally, if none of these work,
  // just return zero...
  bc.re = 0.0;
  bc.im = 0.0;
  b_coherent_map[nuc] = bc;
  return bc;
}


xd_complex_t pyne::b_coherent(char * nuc) {
  int nuc_zz = nucname::id(nuc);
  return b_coherent(nuc_zz);
}


xd_complex_t pyne::b_coherent(std::string nuc) {
  int nuc_zz = nucname::id(nuc);
  return b_coherent(nuc_zz);
}



//
// Incoherent functions
//


xd_complex_t pyne::b_incoherent(int nuc) {
  // Find the nuclide's bound inchoherent scattering length in cm
  std::map<int, xd_complex_t>::iterator nuc_iter, nuc_end;

  nuc_iter = b_incoherent_map.find(nuc);
  nuc_end = b_incoherent_map.end();

  // First check if we already have the nuc in the map
  if (nuc_iter != nuc_end)
    return (*nuc_iter).second;

  // Next, fill up the map with values from the
  // nuc_data.h5, if the map is empty.
  if (b_incoherent_map.empty()) {
    _load_scattering_lengths();
    return b_incoherent(nuc);
  }

  xd_complex_t bi;
  int nucid = nucname::id(nuc);
  int znum = nucname::znum(nucid);
  int anum = nucname::anum(nucid);

  // Try to find a nuclide with matching A-number
  nuc_iter = b_incoherent_map.begin();
  while (nuc_iter != nuc_end) {
    if (anum == nucname::anum((*nuc_iter).first)) {
      bi = (*nuc_iter).second;
      b_incoherent_map[nuc] = bi;
      return bi;
    }
    nuc_iter++;
  }

  // Try to find a nuclide with matching Z-number
  nuc_iter = b_incoherent_map.begin();
  while (nuc_iter != nuc_end) {
    if (znum == nucname::znum((*nuc_iter).first)) {
      bi = (*nuc_iter).second;
      b_incoherent_map[nuc] = bi;
      return bi;
    }
    nuc_iter++;
  }

  // Finally, if none of these work,
  // just return zero...
  bi.re = 0.0;
  bi.im = 0.0;
  b_incoherent_map[nuc] = bi;
  return bi;
}


xd_complex_t pyne::b_incoherent(char * nuc) {
  return b_incoherent(nucname::id(nuc));
}


xd_complex_t pyne::b_incoherent(std::string nuc) {
  return b_incoherent(nucname::id(nuc));
}



//
// b functions
//

double pyne::b(int nuc) {
  // Find the nuclide's bound scattering length in cm
  std::map<int, double>::iterator nuc_iter, nuc_end;

  nuc_iter = b_map.find(nuc);
  nuc_end = b_map.end();

  // First check if we already have the nuc in the map
  if (nuc_iter != nuc_end)
    return (*nuc_iter).second;

  // Next, calculate the value from coherent and incoherent lengths
  xd_complex_t bc = b_coherent(nuc);
  xd_complex_t bi = b_incoherent(nuc);

  double b_val = sqrt(bc.re*bc.re + bc.im*bc.im + bi.re*bi.re + bi.im*bi.im);

  return b_val;
}


double pyne::b(char * nuc) {
  int nucid = nucname::id(nuc);
  return b(nucid);
}


double pyne::b(std::string nuc) {
  int nucid = nucname::id(nuc);
  return b(nucid);
}



//
// Fission Product Yield Data
//
std::map<std::pair<int, int>, double> pyne::wimsdfpy_data = \
  std::map<std::pair<int, int>, double>();

void pyne::_load_wimsdfpy() {
  herr_t status;

  //Check to see if the file is in HDF5 format.
  if (!pyne::file_exists(pyne::NUC_DATA_PATH))
    throw pyne::FileNotFound(pyne::NUC_DATA_PATH);

  bool ish5 = H5Fis_hdf5(pyne::NUC_DATA_PATH.c_str());
  if (!ish5)
    throw h5wrap::FileNotHDF5(pyne::NUC_DATA_PATH);

  // Get the HDF5 compound type (table) description
  hid_t desc = H5Tcreate(H5T_COMPOUND, sizeof(wimsdfpy));
  status = H5Tinsert(desc, "from_nuc", HOFFSET(wimsdfpy, from_nuc),
                     H5T_NATIVE_INT);
  status = H5Tinsert(desc, "to_nuc", HOFFSET(wimsdfpy, to_nuc),
                     H5T_NATIVE_INT);
  status = H5Tinsert(desc, "yields", HOFFSET(wimsdfpy, yields),
                     H5T_NATIVE_DOUBLE);

  // Open the HDF5 file
  hid_t nuc_data_h5 = H5Fopen(pyne::NUC_DATA_PATH.c_str(), H5F_ACC_RDONLY,
                              H5P_DEFAULT);

  // Open the data set
  hid_t wimsdfpy_set = H5Dopen2(nuc_data_h5, "/neutron/wimsd_fission_products",
                                H5P_DEFAULT);
  hid_t wimsdfpy_space = H5Dget_space(wimsdfpy_set);
  int wimsdfpy_length = H5Sget_simple_extent_npoints(wimsdfpy_space);

  // Read in the data
  wimsdfpy * wimsdfpy_array = new wimsdfpy[wimsdfpy_length];
  status = H5Dread(wimsdfpy_set, desc, H5S_ALL, H5S_ALL, H5P_DEFAULT, wimsdfpy_array);

  // close the nuc_data library, before doing anything stupid
  status = H5Dclose(wimsdfpy_set);
  status = H5Fclose(nuc_data_h5);

  // Ok now that we have the array of stucts, put it in the maps
  for(int n=0; n < wimsdfpy_length; n++) {
    wimsdfpy_data[std::make_pair(wimsdfpy_array[n].from_nuc,
      wimsdfpy_array[n].to_nuc)] = wimsdfpy_array[n].yields;
  }

  delete[] wimsdfpy_array;
}


std::map<std::pair<int, int>, pyne::ndsfpysub> pyne::ndsfpy_data = \
  std::map<std::pair<int, int>, pyne::ndsfpysub>();

void pyne::_load_ndsfpy() {
  herr_t status;

  //Check to see if the file is in HDF5 format.
  if (!pyne::file_exists(pyne::NUC_DATA_PATH))
    throw pyne::FileNotFound(pyne::NUC_DATA_PATH);

  bool ish5 = H5Fis_hdf5(pyne::NUC_DATA_PATH.c_str());
  if (!ish5)
    throw h5wrap::FileNotHDF5(pyne::NUC_DATA_PATH);

  // Get the HDF5 compound type (table) description
  hid_t desc = H5Tcreate(H5T_COMPOUND, sizeof(ndsfpy));
  status = H5Tinsert(desc, "from_nuc", HOFFSET(ndsfpy, from_nuc),
                     H5T_NATIVE_INT);
  status = H5Tinsert(desc, "to_nuc", HOFFSET(ndsfpy, to_nuc),
                     H5T_NATIVE_INT);
  status = H5Tinsert(desc, "yield_thermal", HOFFSET(ndsfpy, yield_thermal),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "yield_thermal_err", HOFFSET(ndsfpy, yield_thermal_err),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "yield_fast", HOFFSET(ndsfpy, yield_fast),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "yield_fast_err", HOFFSET(ndsfpy, yield_fast_err),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "yield_14MeV", HOFFSET(ndsfpy, yield_14MeV),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "yield_14MeV_err", HOFFSET(ndsfpy, yield_14MeV_err),
                     H5T_NATIVE_DOUBLE);

  // Open the HDF5 file
  hid_t nuc_data_h5 = H5Fopen(pyne::NUC_DATA_PATH.c_str(), H5F_ACC_RDONLY,
                              H5P_DEFAULT);

  // Open the data set
  hid_t ndsfpy_set = H5Dopen2(nuc_data_h5, "/neutron/nds_fission_products",
                                H5P_DEFAULT);
  hid_t ndsfpy_space = H5Dget_space(ndsfpy_set);
  int ndsfpy_length = H5Sget_simple_extent_npoints(ndsfpy_space);

  // Read in the data
  ndsfpy * ndsfpy_array = new ndsfpy[ndsfpy_length];
  status = H5Dread(ndsfpy_set, desc, H5S_ALL, H5S_ALL, H5P_DEFAULT, ndsfpy_array);

  // close the nuc_data library, before doing anything stupid
  status = H5Dclose(ndsfpy_set);
  status = H5Fclose(nuc_data_h5);

  ndsfpysub ndsfpysub_temp;

  // Ok now that we have the array of structs, put it in the maps
  for(int n=0; n < ndsfpy_length; n++) {
    ndsfpysub_temp.yield_thermal = ndsfpy_array[n].yield_thermal;
    ndsfpysub_temp.yield_thermal_err = ndsfpy_array[n].yield_thermal_err;
    ndsfpysub_temp.yield_fast = ndsfpy_array[n].yield_fast;
    ndsfpysub_temp.yield_fast_err = ndsfpy_array[n].yield_fast_err;
    ndsfpysub_temp.yield_14MeV = ndsfpy_array[n].yield_14MeV;
    ndsfpysub_temp.yield_14MeV_err = ndsfpy_array[n].yield_14MeV_err;
    ndsfpy_data[std::make_pair(ndsfpy_array[n].from_nuc,
      ndsfpy_array[n].to_nuc)] = ndsfpysub_temp;
  }



  delete[] ndsfpy_array;
}

double pyne::fpyield(std::pair<int, int> from_to, int source, bool get_error) {
  // Note that this may be expanded eventually to include other
  // sources of fission product data.

  // Find the parent/child pair branch ratio as a fraction
  if (source == 0) {
    std::map<std::pair<int, int>, double>::iterator fpy_iter, fpy_end;
    fpy_iter = wimsdfpy_data.find(from_to);
    fpy_end = wimsdfpy_data.end();
    if (fpy_iter != fpy_end)
        //if (get_error == true) return 0;
        return (*fpy_iter).second;
  } else {
    std::map<std::pair<int, int>, ndsfpysub>::iterator fpy_iter, fpy_end;
    fpy_iter = ndsfpy_data.find(from_to);
    fpy_end = ndsfpy_data.end();
    if (fpy_iter != fpy_end) {
        switch (source) {
          case 1:
            if (get_error)
                return (*fpy_iter).second.yield_thermal_err;
            return (*fpy_iter).second.yield_thermal;
            break;
          case 2:
            if (get_error)
                return (*fpy_iter).second.yield_fast_err;
            return (*fpy_iter).second.yield_fast;
            break;
          case 3:
            if (get_error)
                return (*fpy_iter).second.yield_14MeV_err;
            return (*fpy_iter).second.yield_14MeV;
            break;
        }
    }
  }


  // Next, fill up the map with values from the
  // nuc_data.h5, if the map is empty.
  if ((source == 0 ) && (wimsdfpy_data.empty())) {
    _load_wimsdfpy();
    return fpyield(from_to, 0, get_error);
  }else if (ndsfpy_data.empty()) {
    _load_ndsfpy();
    return fpyield(from_to, source, get_error);
  }

  // Finally, if none of these work,
  // assume the value is stable
  double fpy = 0.0;
  wimsdfpy_data[from_to] = fpy;
  return fpy;
}

double pyne::fpyield(int from_nuc, int to_nuc, int source, bool get_error) {
  return fpyield(std::pair<int, int>(nucname::id(from_nuc),
                                     nucname::id(to_nuc)), source, get_error);
}

double pyne::fpyield(char * from_nuc, char * to_nuc, int source, bool get_error) {
  return fpyield(std::pair<int, int>(nucname::id(from_nuc),
                                     nucname::id(to_nuc)), source, get_error);
}

double pyne::fpyield(std::string from_nuc, std::string to_nuc, int source,
                     bool get_error) {
  return fpyield(std::pair<int, int>(nucname::id(from_nuc),
                                     nucname::id(to_nuc)), source, get_error);
}


/***********************/
/*** decay functions ***/
/***********************/

//
// Data access tools
//

bool pyne::swapmapcompare::operator()(const std::pair<int, double>& lhs,
const std::pair<int, double>& rhs) const {
    return lhs.second<rhs.second || (!(rhs.second<lhs.second) &&
      lhs.first<rhs.first);
}

template<typename T, typename U> std::vector<T> pyne::data_access(
double energy_min, double energy_max, size_t valoffset, std::map<std::pair<int,
double>, U>  &data) {
  typename std::map<std::pair<int, double>, U, swapmapcompare>::iterator
    nuc_iter, nuc_end, it;
  std::map<std::pair<int, double>, U, swapmapcompare> dc(data.begin(),
    data.end());
  std::vector<T> result;
  if (energy_max < energy_min){
    double temp = energy_max;
    energy_max = energy_min;
    energy_min = temp;
  }
  nuc_iter = dc.lower_bound(std::make_pair(0, energy_min));
  nuc_end = dc.upper_bound(std::make_pair(9999999999, energy_max));
  T *ret;
  // First check if we already have the nuc in the map
  for (it = nuc_iter; it!= nuc_end; ++it){
    ret = (T *)((char *)&(it->second) + valoffset);
    result.push_back(*ret);
  }
  // Next, fill up the map with values from the
  // nuc_data.h5, if the map is empty.
  if (data.empty())
  {
    _load_data<U>();
    return data_access<T, U>(energy_min, energy_max, valoffset, data);
  }
  return result;
}

template<typename T, typename U> std::vector<T> pyne::data_access(int parent,
double min, double max, size_t valoffset,
std::map<std::pair<int, double>, U>  &data) {
  typename std::map<std::pair<int, double>, U>::iterator nuc_iter, nuc_end, it;
  std::vector<T> result;
  nuc_iter = data.lower_bound(std::make_pair(parent,min));
  nuc_end = data.upper_bound(std::make_pair(parent,max));
  T *ret;
  // First check if we already have the nuc in the map
  for (it = nuc_iter; it!= nuc_end; ++it){
    ret = (T *)((char *)&(it->second) + valoffset);
    result.push_back(*ret);
  }
  // Next, fill up the map with values from the
  // nuc_data.h5, if the map is empty.
  if (data.empty())
  {
    _load_data<U>();
    return data_access<T, U>(parent, min, max, valoffset, data);
  }
  return result;
}

template<typename T, typename U> T pyne::data_access(std::pair<int, int>
from_to, size_t valoffset, std::map<std::pair<int, int>, U> &data) {
  typename std::map<std::pair<int, int>, U>::iterator nuc_iter, nuc_end;

  nuc_iter = data.find(from_to);
  nuc_end = data.end();
  T *ret;
  // First check if we already have the nuc in the map
  if (nuc_iter != nuc_end){
    ret = (T *)((char *)&(nuc_iter->second) + valoffset);
    return *ret;
  }
  // Next, fill up the map with values from the
  // nuc_data.h5, if the map is empty.
  if (data.empty())
  {
    _load_data<U>();
    return data_access<T, U>(from_to, valoffset, data);
  }
  // This is okay for now because we only return ints and doubles
  return 0;
}

template<typename T, typename U> std::vector<T> pyne::data_access(int parent,
size_t valoffset, std::map<std::pair<int, int>, U> &data){
  typename std::map<std::pair<int, int>, U>::iterator nuc_iter, nuc_end, it;
  std::vector<T> result;
  nuc_iter = data.lower_bound(std::make_pair(parent,0));
  nuc_end = data.upper_bound(std::make_pair(parent,9999999999));
  T *ret;
  // First check if we already have the nuc in the map
  for (it = nuc_iter; it!= nuc_end; ++it){
    ret = (T *)((char *)&(it->second) + valoffset);
    result.push_back(*ret);
  }
  // Next, fill up the map with values from the
  // nuc_data.h5, if the map is empty.
  if (data.empty())
  {
    _load_data<U>();
    return data_access<T, U>(parent, valoffset, data);
  }
  return result;
}

template<typename T, typename U> std::vector<T> pyne::data_access(int parent,
size_t valoffset, std::map<std::pair<int, unsigned int>, U> &data){
  typename std::map<std::pair<int, unsigned int>, U>::iterator nuc_iter,
   nuc_end, it;
  std::vector<T> result;
  nuc_iter = data.lower_bound(std::make_pair(parent,0));
  nuc_end = data.upper_bound(std::make_pair(parent,UINT_MAX));
  T *ret;
  // First check if we already have the nuc in the map
  for (it = nuc_iter; it!= nuc_end; ++it){
    ret = (T *)((char *)&(it->second) + valoffset);
    result.push_back(*ret);
  }
  // Next, fill up the map with values from the
  // nuc_data.h5, if the map is empty.
  if (data.empty())
  {
    _load_data<U>();
    return data_access<T, U>(parent, valoffset, data);
  }
  return result;
}

template<typename U> double pyne::data_access(int nuc,
size_t valoffset, std::map<int, U> &data){
  typename std::map<int, U>::iterator nuc_iter,
   nuc_end;
  nuc_iter = data.find(nuc);
  nuc_end = data.end();
  // First check if we already have the nuc in the map
  if (nuc_iter != nuc_end){
    return *(double *)((char *)&(nuc_iter->second) + valoffset);
  }
  // Next, fill up the map with values from the
  // nuc_data.h5, if the map is empty.
  if (data.empty())
  {
    _load_data<U>();
    return data_access<U>(nuc, valoffset, data);
  }
  throw pyne::nucname::NotANuclide(nuc, "");
}


//
// Load atomic data
//

std::map<int, pyne::atomic> pyne::atomic_data_map;

template<> void pyne::_load_data<pyne::atomic>() {
  // Loads the atomic table into memory
  herr_t status;

  //Check to see if the file is in HDF5 format.
  if (!pyne::file_exists(pyne::NUC_DATA_PATH))
    throw pyne::FileNotFound(pyne::NUC_DATA_PATH);

  bool ish5 = H5Fis_hdf5(pyne::NUC_DATA_PATH.c_str());
  if (!ish5)
    throw h5wrap::FileNotHDF5(pyne::NUC_DATA_PATH);

  // Get the HDF5 compound type (table) description
  hid_t desc = H5Tcreate(H5T_COMPOUND, sizeof(atomic));
  status = H5Tinsert(desc, "z", HOFFSET(atomic, z),
                      H5T_NATIVE_INT);
  status = H5Tinsert(desc, "k_shell_fluor", HOFFSET(atomic, k_shell_fluor),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "k_shell_fluor_error", HOFFSET(atomic, k_shell_fluor_error),
                      H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "l_shell_fluor", HOFFSET(atomic, l_shell_fluor),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "l_shell_fluor_error", HOFFSET(atomic, l_shell_fluor_error),
                      H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "prob", HOFFSET(atomic, prob),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "k_shell_be", HOFFSET(atomic, k_shell_be),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "k_shell_be_err", HOFFSET(atomic, k_shell_be_err),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "li_shell_be", HOFFSET(atomic, li_shell_be),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "li_shell_be_err", HOFFSET(atomic, li_shell_be_err),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "mi_shell_be", HOFFSET(atomic, mi_shell_be),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "mi_shell_be_err", HOFFSET(atomic, mi_shell_be_err),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "ni_shell_be", HOFFSET(atomic, ni_shell_be),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "ni_shell_be_err", HOFFSET(atomic, ni_shell_be_err),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "kb_to_ka", HOFFSET(atomic, kb_to_ka),
                      H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "kb_to_ka_err", HOFFSET(atomic, kb_to_ka_err),
                      H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "ka2_to_ka1", HOFFSET(atomic, ka2_to_ka1),
                      H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "ka2_to_ka1_err", HOFFSET(atomic, ka2_to_ka1_err),
                      H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "l_auger", HOFFSET(atomic, l_auger),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "k_auger", HOFFSET(atomic, k_auger),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "ka1_x_ray_en", HOFFSET(atomic, ka1_x_ray_en),
                      H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "ka1_x_ray_en_err", HOFFSET(atomic, ka1_x_ray_en_err),
                      H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "ka2_x_ray_en", HOFFSET(atomic, ka2_x_ray_en),
                      H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "ka2_x_ray_en_err", HOFFSET(atomic, ka2_x_ray_en_err),
                      H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "kb_x_ray_en", HOFFSET(atomic, kb_x_ray_en),
                      H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "l_x_ray_en", HOFFSET(atomic, l_x_ray_en),
                      H5T_NATIVE_DOUBLE);

  // Open the HDF5 file
  hid_t nuc_data_h5 = H5Fopen(pyne::NUC_DATA_PATH.c_str(), H5F_ACC_RDONLY,
                              H5P_DEFAULT);
  // Open the data set
  hid_t atomic_set = H5Dopen2(nuc_data_h5, "/decay/atomic", H5P_DEFAULT);
  hid_t atomic_space = H5Dget_space(atomic_set);
  int atomic_length = H5Sget_simple_extent_npoints(atomic_space);

  // Read in the data
  atomic * atomic_array = new atomic[atomic_length];
  status = H5Dread(atomic_set, desc, H5S_ALL, H5S_ALL, H5P_DEFAULT,
                   atomic_array);

  // close the nuc_data library, before doing anything stupid
  status = H5Dclose(atomic_set);
  status = H5Fclose(nuc_data_h5);

  for (int i = 0; i < atomic_length; ++i) {
      atomic_data_map[atomic_array[i].z] = atomic_array[i];
  }

  delete[] atomic_array;

}

std::vector<std::pair<double, double> >
  pyne::calculate_xray_data(int z, double k_conv, double l_conv) {
  double xk = 0;
  double xka = 0;
  double xka1 = 0;
  double xka2 = 0;
  double xkb = 0;
  double xl = 0;
  if (!isnan(k_conv)) {
    xk = data_access<atomic> (z, offsetof(atomic, k_shell_fluor),
     atomic_data_map)*k_conv;
    xka = xk / (1.0 + data_access<atomic> (z, offsetof(atomic,
     kb_to_ka), atomic_data_map));
    xka1 = xka / (1.0 + data_access<atomic> (z, offsetof(atomic,
     ka2_to_ka1), atomic_data_map));
    xka2 = xka - xka1;
    xkb = xk - xka;
    if (!isnan(l_conv)) {
        xl = (l_conv + k_conv*data_access<atomic> (z, offsetof(atomic,
     prob), atomic_data_map))*data_access<atomic> (z, offsetof(atomic,
     l_shell_fluor), atomic_data_map);
    }
  } else if (!isnan(l_conv)) {
    xl = l_conv*data_access<atomic> (z, offsetof(atomic,
     l_shell_fluor), atomic_data_map);
  }
  std::vector<std::pair<double, double> > result;
  result.push_back(std::make_pair(data_access<atomic> (z, offsetof(atomic,
     ka1_x_ray_en), atomic_data_map),xka1));
  result.push_back(std::make_pair(data_access<atomic> (z, offsetof(atomic,
     ka2_x_ray_en), atomic_data_map),xka2));
  result.push_back(std::make_pair(data_access<atomic> (z, offsetof(atomic,
     kb_x_ray_en), atomic_data_map),xkb));
  result.push_back(std::make_pair(data_access<atomic> (z, offsetof(atomic,
     l_x_ray_en), atomic_data_map),xl));

  return result;
}


//
// Load level data
//

std::map<std::pair<int,double>, pyne::level_data> pyne::level_data_lvl_map;
std::map<std::pair<int,unsigned int>,
  pyne::level_data> pyne::level_data_rx_map;


template<> void pyne::_load_data<pyne::level_data>()
{

  // Loads the level table into memory
  herr_t status;

  //Check to see if the file is in HDF5 format.
  if (!pyne::file_exists(pyne::NUC_DATA_PATH))
    throw pyne::FileNotFound(pyne::NUC_DATA_PATH);

  bool ish5 = H5Fis_hdf5(pyne::NUC_DATA_PATH.c_str());
  if (!ish5)
    throw h5wrap::FileNotHDF5(pyne::NUC_DATA_PATH);

  // Get the HDF5 compound type (table) description
  hid_t desc = H5Tcreate(H5T_COMPOUND, sizeof(level_data));
  status = H5Tinsert(desc, "nuc_id", HOFFSET(level_data, nuc_id),
                      H5T_NATIVE_INT);
  status = H5Tinsert(desc, "rx_id", HOFFSET(level_data, rx_id),
                     H5T_NATIVE_UINT);
  status = H5Tinsert(desc, "half_life", HOFFSET(level_data, half_life),
                      H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "level", HOFFSET(level_data, level),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "branch_ratio", HOFFSET(level_data, branch_ratio),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "metastable", HOFFSET(level_data, metastable),
                      H5T_NATIVE_INT);
  status = H5Tinsert(desc, "special", HOFFSET(level_data, special),
                      H5T_C_S1);
  // Open the HDF5 file
  hid_t nuc_data_h5 = H5Fopen(pyne::NUC_DATA_PATH.c_str(), H5F_ACC_RDONLY,
                              H5P_DEFAULT);
  // Open the data set
  hid_t level_set = H5Dopen2(nuc_data_h5, "/decay/level_list", H5P_DEFAULT);
  hid_t level_space = H5Dget_space(level_set);
  int level_length = H5Sget_simple_extent_npoints(level_space);

  // Read in the data
  level_data * level_array = new level_data[level_length];
  status = H5Dread(level_set, desc, H5S_ALL, H5S_ALL, H5P_DEFAULT,
                   level_array);

  // close the nuc_data library, before doing anything stupid
  status = H5Dclose(level_set);
  status = H5Fclose(nuc_data_h5);

  for (int i = 0; i < level_length; ++i) {
    if (level_array[i].rx_id == 0)
      level_data_lvl_map[std::make_pair(level_array[i].nuc_id,
                                        level_array[i].level)] = level_array[i];
    else
      level_data_rx_map[std::make_pair(level_array[i].nuc_id,
                                       level_array[i].rx_id)] = level_array[i];
  }

  delete[] level_array;
}

//
// level id
//
int pyne::id_from_level(int nuc, double level, std::string special) {
  int nostate = (nuc / 10000) * 10000;
  if (level_data_lvl_map.empty()) {
    _load_data<level_data>();
  }

  std::map<std::pair<int, double>, level_data>::iterator nuc_lower, nuc_upper;

  nuc_lower = level_data_lvl_map.lower_bound(std::make_pair(nostate, 0.0));
  nuc_upper = level_data_lvl_map.upper_bound(std::make_pair(nostate+9999,
                                             DBL_MAX));
  double minv = DBL_MAX;
  //by default return input nuc_id with level stripped
  int ret_id = nuc;
  for (std::map<std::pair<int, double>, level_data>::iterator it=nuc_lower;
       it!=nuc_upper; ++it) {
    if ((std::abs(level - it->second.level) < minv) &&
    ((char)it->second.special == special.c_str()[0]) &&
    !isnan(it->second.level)) {
      minv = std::abs(level - it->second.level);
      ret_id = it->second.nuc_id;
    }
  }
  // This value was chosen so important transitions in U-235 are not missed
  if (minv > 3.0)
    return -nuc;
  else
    return ret_id;
}

int pyne::id_from_level(int nuc, double level){
    return id_from_level(nuc, level, " ");
}
//
// Metastable id data
//

int pyne::metastable_id(int nuc, int m) {
  int nostate = (nuc / 10000) * 10000;
  if (m==0) return nostate;
  if (level_data_lvl_map.empty()) {
    _load_data<level_data>();
  }

  std::map<std::pair<int, double>, level_data>::iterator nuc_lower, nuc_upper;

  nuc_lower = level_data_lvl_map.lower_bound(std::make_pair(nostate, 0.0));
  nuc_upper = level_data_lvl_map.upper_bound(std::make_pair(nostate+9999,
  DBL_MAX));
  for (std::map<std::pair<int, double>, level_data>::iterator it=nuc_lower;
  it!=nuc_upper; ++it) {
    if (it->second.metastable == m)
        return it->second.nuc_id;
  }

  return nuc;
}

int pyne::metastable_id(int nuc) {
  return metastable_id(nuc, 1);
}

//
// Decay children data
//


std::set<int> pyne::decay_children(int nuc) {
  // make sure spontaneous fission data is loaded
  if (wimsdfpy_data.empty())
    _load_wimsdfpy();

  std::vector<unsigned int> part = data_access<unsigned int, level_data>(nuc,
    offsetof(level_data, rx_id), level_data_rx_map);
  std::vector<unsigned int>::iterator it = part.begin();
  std::set<int> result;
  for (; it != part.end(); ++it) {
    switch (*it) {
      case 36125: {
        // internal conversion, rx == 'it'
        result.insert((nuc /10000) * 10000);
        break;
      }
      case 36565: {
        // spontaneous fission, rx == 'sf'
        std::map<std::pair<int, int>, double>::iterator sf = wimsdfpy_data.begin();
        for (; sf != wimsdfpy_data.end(); ++sf)
          if (sf->first.first == nuc)
            result.insert(sf->first.second);
        break;
      }
      default: {
        result.insert((rxname::child(nuc, *it, "decay") /10000) * 10000);
      }
    }
  }
  return result;
}

std::set<int> pyne::decay_children(char * nuc)
{
  return decay_children(nucname::id(nuc));
}

std::set<int> pyne::decay_children(std::string nuc)
{
  return decay_children(nucname::id(nuc));
}

//
// Excitation state energy data
//

double pyne::state_energy(int nuc)
{
  std::vector<double> result = data_access<double, level_data>(nuc, 0.0,
  DBL_MAX, offsetof(level_data, level), level_data_lvl_map);
  if (result.size() == 1)
    return result[0]/1000.0;
  return 0.0;
}

double pyne::state_energy(char * nuc)
{
  return state_energy(nucname::id(nuc));
}


double pyne::state_energy(std::string nuc)
{
  return state_energy(nucname::id(nuc));
}


//
// Decay constant data
//

double pyne::decay_const(int nuc)
{
    std::vector<double> result = data_access<double, level_data>(nuc, 0.0,
      DBL_MAX, offsetof(level_data, half_life), level_data_lvl_map);
    if (result.size() == 1) {
        return log(2.0)/result[0];
    }
    return 0.0;
}


double pyne::decay_const(char * nuc) {
  int nuc_zz = nucname::id(nuc);
  return decay_const(nuc_zz);
}


double pyne::decay_const(std::string nuc) {
  int nuc_zz = nucname::id(nuc);
  return decay_const(nuc_zz);
}


//
// Half-life data
//
double pyne::half_life(int nuc) {
    std::vector<double> result = data_access<double, level_data>(nuc, 0.0,
    DBL_MAX, offsetof(level_data, half_life), level_data_lvl_map);
    if (result.size() == 1) {
        return result[0];
    }
    return 1.0/0.0;
}


double pyne::half_life(char * nuc) {
  int nuc_zz = nucname::id(nuc);
  return half_life(nuc_zz);
}

double pyne::half_life(std::string nuc) {
  int nuc_zz = nucname::id(nuc);
  return half_life(nuc_zz);
}


//
// Branch ratio data
//
double pyne::branch_ratio(std::pair<int, int> from_to) {
  using std::vector;
  using pyne::nucname::groundstate;
  // make sure spontaneous fission data is loaded
  if (wimsdfpy_data.empty())
    _load_wimsdfpy();

  vector<unsigned int> part1 = \
    data_access<unsigned int, level_data>(from_to.first, offsetof(level_data, rx_id),
                                          level_data_rx_map);
  vector<double> part2 = \
    data_access<double, level_data>(from_to.first, offsetof(level_data, branch_ratio),
                                    level_data_rx_map);
  double result = 0.0;
  if ((from_to.first == from_to.second) && (decay_const(from_to.first) == 0.0))
    return 1.0;
  for (vector<unsigned int>::size_type i = 0; i < part1.size(); ++i) {
    if ((part1[i] == 36125) &&
        (groundstate(from_to.first) == groundstate(from_to.second)) &&
        (from_to.second % 10000 == 0)) {
      // internal conversion, rx == 'it'
      result = 1.0;
      break;
    } else if (part1[i] == 36565) {
      // spontaneous fission, rx == 'sf'
      result += part2[i] * 0.01 * wimsdfpy_data[from_to];
    } else if ((part1[i] != 0) && (groundstate(rxname::child(from_to.first,
                                   part1[i], "decay")) == from_to.second)) {
      result += part2[i] * 0.01;
    }
  }
  return result;
}

double pyne::branch_ratio(int from_nuc, int to_nuc) {
  return branch_ratio(std::pair<int, int>(nucname::id(from_nuc),
                                          nucname::id(to_nuc)));
}

double pyne::branch_ratio(char * from_nuc, char * to_nuc) {
  return branch_ratio(std::pair<int, int>(nucname::id(from_nuc),
                                          nucname::id(to_nuc)));
}

double pyne::branch_ratio(std::string from_nuc, std::string to_nuc) {
  return branch_ratio(std::pair<int, int>(nucname::id(from_nuc),
                                          nucname::id(to_nuc)));
}

std::map<std::pair<int, int>, pyne::decay> pyne::decay_data = \
  std::map<std::pair<int, int>, pyne::decay>();

template<> void pyne::_load_data<pyne::decay>() {

  // Loads the decay table into memory
  herr_t status;

  //Check to see if the file is in HDF5 format.
  if (!pyne::file_exists(pyne::NUC_DATA_PATH))
    throw pyne::FileNotFound(pyne::NUC_DATA_PATH);

  bool ish5 = H5Fis_hdf5(pyne::NUC_DATA_PATH.c_str());
  if (!ish5)
    throw h5wrap::FileNotHDF5(pyne::NUC_DATA_PATH);

  // Get the HDF5 compound type (table) description
  hid_t desc = H5Tcreate(H5T_COMPOUND, sizeof(decay));
  status = H5Tinsert(desc, "parent", HOFFSET(decay, parent),
                     H5T_NATIVE_INT);
  status = H5Tinsert(desc, "child", HOFFSET(decay, child),
                     H5T_NATIVE_INT);
  status = H5Tinsert(desc, "decay", HOFFSET(decay, decay),
                     H5T_NATIVE_UINT);
  status = H5Tinsert(desc, "half_life", HOFFSET(decay, half_life),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "half_life_error", HOFFSET(decay,
                     half_life_error), H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "branch_ratio", HOFFSET(decay, branch_ratio),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "branch_ratio_error", HOFFSET(decay, branch_ratio_error),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "photon_branch_ratio", HOFFSET(decay,
                     photon_branch_ratio), H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "photon_branch_ratio_err", HOFFSET(decay,
                     photon_branch_ratio_error), H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "beta_branch_ratio", HOFFSET(decay,
                     beta_branch_ratio), H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "beta_branch_ratio_err", HOFFSET(decay,
                     beta_branch_ratio_error), H5T_NATIVE_DOUBLE);

  // Open the HDF5 file
  hid_t nuc_data_h5 = H5Fopen(pyne::NUC_DATA_PATH.c_str(), H5F_ACC_RDONLY,
                              H5P_DEFAULT);

  // Open the data set
  hid_t decay_set = H5Dopen2(nuc_data_h5, "/decay/decays", H5P_DEFAULT);
  hid_t decay_space = H5Dget_space(decay_set);
  int decay_length = H5Sget_simple_extent_npoints(decay_space);

  // Read in the data
  decay * decay_array = new decay[decay_length];
  status = H5Dread(decay_set, desc, H5S_ALL, H5S_ALL, H5P_DEFAULT,
                   decay_array);

  // close the nuc_data library, before doing anything stupid
  status = H5Dclose(decay_set);
  status = H5Fclose(nuc_data_h5);

  for (int i = 0; i < decay_length; ++i) {
    decay_data[std::make_pair(decay_array[i].parent, decay_array[i].child)] = \
      decay_array[i];
  }
  delete[] decay_array;
}


std::vector<int> pyne::decay_data_children(int parent) {
  std::vector<int> result = data_access<int, decay>(parent,
    offsetof(decay, child), decay_data);
  return result;
}

std::pair<double, double> pyne::decay_half_life(std::pair<int, int> from_to){
  return std::make_pair(data_access<double, decay>(from_to, offsetof(
   decay, half_life), decay_data), data_access<double, decay>(
   from_to, offsetof(decay, half_life_error), decay_data));
}

std::vector<std::pair<double, double> >pyne::decay_half_lifes(int parent) {
  std::vector<std::pair<double, double> > result;
  std::vector<double> part1 = data_access<double, decay>(parent,
    offsetof(decay, half_life), decay_data);
  std::vector<double> part2 = data_access<double, decay>(parent,
    offsetof(decay, half_life_error), decay_data);
  for(int i = 0; i < part1.size(); ++i){
    result.push_back(std::make_pair(part1[i],part2[i]));
  }
  return result;
}

std::pair<double, double> pyne::decay_branch_ratio(std::pair<int, int> from_to) {
  return std::make_pair(data_access<double, decay>(from_to, offsetof(decay,
    branch_ratio), decay_data),data_access<double, decay>(from_to, offsetof(decay,
    branch_ratio_error), decay_data));
}

std::vector<double> pyne::decay_branch_ratios(int parent) {
  return data_access<double, decay>(parent, offsetof(decay,
    branch_ratio), decay_data);
}

std::pair<double, double> pyne::decay_photon_branch_ratio(std::pair<int,int>
from_to) {
  return std::make_pair(data_access<double, decay>(from_to,
    offsetof(decay, photon_branch_ratio), decay_data),
    data_access<double, decay>(from_to, offsetof(decay,
    photon_branch_ratio_error), decay_data));
}

std::vector<std::pair<double, double> >pyne::decay_photon_branch_ratios(
int parent) {
  std::vector<std::pair<double, double> > result;
  std::vector<double> part1 = data_access<double, decay>(parent,
    offsetof(decay, photon_branch_ratio), decay_data);
  std::vector<double> part2 = data_access<double, decay>(parent,
    offsetof(decay, photon_branch_ratio_error), decay_data);
  for(int i = 0; i < part1.size(); ++i){
    result.push_back(std::make_pair(part1[i],part2[i]));
  }
  return result;
}

std::pair<double, double> pyne::decay_beta_branch_ratio(std::pair<int,int>
from_to) {
  return std::make_pair(data_access<double, decay>(from_to,
    offsetof(decay, beta_branch_ratio), decay_data),
    data_access<double, decay>(from_to, offsetof(decay,
    beta_branch_ratio_error), decay_data));
}

std::vector<std::pair<double, double> >pyne::decay_beta_branch_ratios(
int parent) {
  std::vector<std::pair<double, double> > result;
  std::vector<double> part1 = data_access<double, decay>(parent,
    offsetof(decay, beta_branch_ratio), decay_data);
  std::vector<double> part2 = data_access<double, decay>(parent,
    offsetof(decay, beta_branch_ratio_error), decay_data);
  for(int i = 0; i < part1.size(); ++i){
    result.push_back(std::make_pair(part1[i],part2[i]));
  }
  return result;
}

std::map<std::pair<int, double>, pyne::gamma> pyne::gamma_data;

template<> void pyne::_load_data<pyne::gamma>() {

  // Loads the gamma table into memory
  herr_t status;

  //Check to see if the file is in HDF5 format.
  if (!pyne::file_exists(pyne::NUC_DATA_PATH))
    throw pyne::FileNotFound(pyne::NUC_DATA_PATH);

  bool ish5 = H5Fis_hdf5(pyne::NUC_DATA_PATH.c_str());
  if (!ish5)
    throw h5wrap::FileNotHDF5(pyne::NUC_DATA_PATH);

  // Get the HDF5 compound type (table) description
  hid_t desc = H5Tcreate(H5T_COMPOUND, sizeof(gamma));
  status = H5Tinsert(desc, "from_nuc", HOFFSET(gamma, from_nuc),
                     H5T_NATIVE_INT);
  status = H5Tinsert(desc, "to_nuc", HOFFSET(gamma, to_nuc),
                     H5T_NATIVE_INT);
  status = H5Tinsert(desc, "parent_nuc", HOFFSET(gamma, parent_nuc),
                     H5T_NATIVE_INT);
  status = H5Tinsert(desc, "child_nuc", HOFFSET(gamma, child_nuc),
                     H5T_NATIVE_INT);
  status = H5Tinsert(desc, "energy", HOFFSET(gamma, energy),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "energy_err", HOFFSET(gamma, energy_err),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "photon_intensity", HOFFSET(gamma,
                     photon_intensity), H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "photon_intensity_err", HOFFSET(gamma,
                     photon_intensity_err), H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "conv_intensity", HOFFSET(gamma,
                     conv_intensity), H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "conv_intensity_err", HOFFSET(gamma,
                     conv_intensity_err), H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "total_intensity", HOFFSET(gamma,
                     total_intensity), H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "total_intensity_err", HOFFSET(gamma,
                     total_intensity_err), H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "k_conv_e", HOFFSET(gamma, k_conv_e),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "l_conv_e", HOFFSET(gamma, l_conv_e),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "m_conv_e", HOFFSET(gamma, m_conv_e),
                     H5T_NATIVE_DOUBLE);


  // Open the HDF5 file
  hid_t nuc_data_h5 = H5Fopen(pyne::NUC_DATA_PATH.c_str(), H5F_ACC_RDONLY,
                              H5P_DEFAULT);

  // Open the data set
  hid_t gamma_set = H5Dopen2(nuc_data_h5, "/decay/gammas", H5P_DEFAULT);
  hid_t gamma_space = H5Dget_space(gamma_set);
  int gamma_length = H5Sget_simple_extent_npoints(gamma_space);

  // Read in the data
  gamma * gamma_array = new gamma[gamma_length];
  status = H5Dread(gamma_set, desc, H5S_ALL, H5S_ALL, H5P_DEFAULT,
                   gamma_array);

  // close the nuc_data library, before doing anything stupid
  status = H5Dclose(gamma_set);
  status = H5Fclose(nuc_data_h5);

  for (int i = 0; i < gamma_length; ++i) {
    if ((gamma_array[i].parent_nuc != 0) && !isnan(gamma_array[i].energy))
      gamma_data[std::make_pair(gamma_array[i].parent_nuc,
        gamma_array[i].energy)] = gamma_array[i];
  }
  delete[] gamma_array;
}

std::vector<std::pair<double, double> > pyne::gamma_energy(int parent) {
  std::vector<std::pair<double, double> > result;
  std::vector<double> part1 = data_access<double, gamma>(parent, 0.0,
    DBL_MAX, offsetof(gamma, energy), gamma_data);
  std::vector<double> part2 = data_access<double, gamma>(parent, 0.0,
    DBL_MAX, offsetof(gamma, energy_err), gamma_data);
  for(int i = 0; i < part1.size(); ++i){
    result.push_back(std::make_pair(part1[i],part2[i]));
  }
  return result;
}

std::vector<std::pair<double, double> > pyne::gamma_energy(double energy,
double error) {
  std::vector<std::pair<double, double> > result;
  std::vector<double> part1 = data_access<double, gamma>(energy+error,
    energy-error, offsetof(gamma, energy), gamma_data);
  std::vector<double> part2 = data_access<double, gamma>(energy+error,
    energy-error, offsetof(gamma, energy_err), gamma_data);
  for(int i = 0; i < part1.size(); ++i){
    result.push_back(std::make_pair(part1[i],part2[i]));
  }
  return result;
}

std::vector<std::pair<double, double> > pyne::gamma_photon_intensity(
int parent) {
  std::vector<std::pair<double, double> > result;
  std::vector<double> part1 = data_access<double, gamma>(parent, 0.0,
    DBL_MAX, offsetof(gamma, photon_intensity), gamma_data);
  std::vector<double> part2 = data_access<double, gamma>(parent, 0.0,
    DBL_MAX, offsetof(gamma, photon_intensity_err), gamma_data);
  for(int i = 0; i < part1.size(); ++i){
    result.push_back(std::make_pair(part1[i],part2[i]));
  }
  return result;
}

std::vector<std::pair<double, double> > pyne::gamma_photon_intensity(
double energy, double error) {
  std::vector<std::pair<double, double> > result;
  std::vector<double> part1 = data_access<double, gamma>(energy+error,
    energy-error, offsetof(gamma, photon_intensity), gamma_data);
  std::vector<double> part2 = data_access<double, gamma>(energy+error,
    energy-error, offsetof(gamma, photon_intensity_err), gamma_data);
  for(int i = 0; i < part1.size(); ++i){
    result.push_back(std::make_pair(part1[i],part2[i]));
  }
  return result;
}

std::vector<std::pair<double, double> > pyne::gamma_conversion_intensity(
int parent) {
  std::vector<std::pair<double, double> > result;
  std::vector<double> part1 = data_access<double, gamma>(parent, 0.0,
    DBL_MAX, offsetof(gamma, conv_intensity), gamma_data);
  std::vector<double> part2 = data_access<double, gamma>(parent, 0.0,
    DBL_MAX, offsetof(gamma, conv_intensity_err), gamma_data);
  for(int i = 0; i < part1.size(); ++i){
    result.push_back(std::make_pair(part1[i],part2[i]));
  }
  return result;
}

std::vector<std::pair<double, double> > pyne::gamma_total_intensity(
int parent) {
  std::vector<std::pair<double, double> > result;
  std::vector<double> part1 = data_access<double, gamma>(parent, 0.0,
    DBL_MAX, offsetof(gamma, total_intensity), gamma_data);
  std::vector<double> part2 = data_access<double, gamma>(parent, 0.0,
    DBL_MAX, offsetof(gamma, total_intensity_err), gamma_data);
  for(int i = 0; i < part1.size(); ++i){
    result.push_back(std::make_pair(part1[i],part2[i]));
  }
  return result;
}

std::vector<std::pair<int, int> > pyne::gamma_from_to(int parent) {
  std::vector<std::pair<int, int> > result;
  std::vector<int> part1 = data_access<int, gamma>(parent, 0.0, DBL_MAX,
    offsetof(gamma, from_nuc), gamma_data);
  std::vector<int> part2 = data_access<int, gamma>(parent, 0.0, DBL_MAX,
    offsetof(gamma, to_nuc), gamma_data);
  for(int i = 0; i < part1.size(); ++i){
    result.push_back(std::make_pair(part1[i],part2[i]));
  }
  return result;
}

std::vector<std::pair<int, int> > pyne::gamma_from_to(double energy,
double error) {
  std::vector<std::pair<int, int> > result;
  std::vector<int> part1 = data_access<int, gamma>(energy+error,
    energy-error, offsetof(gamma, from_nuc), gamma_data);
  std::vector<int> part2 = data_access<int, gamma>(energy+error,
    energy-error, offsetof(gamma, to_nuc), gamma_data);
  for(int i = 0; i < part1.size(); ++i){
    result.push_back(std::make_pair(part1[i],part2[i]));
  }
  return result;
}


std::vector<std::pair<int, int> > pyne::gamma_parent_child(double energy,
double error) {
  std::vector<std::pair<int, int> > result;
  std::vector<int> part1 = data_access<int, gamma>(energy+error,
    energy-error, offsetof(gamma, parent_nuc), gamma_data);
  std::vector<int> part2 = data_access<int, gamma>(energy+error,
    energy-error, offsetof(gamma, child_nuc), gamma_data);
  for(int i = 0; i < part1.size(); ++i){
    result.push_back(std::make_pair(part1[i],part2[i]));
  }
  return result;
}

std::vector<int> pyne::gamma_parent(double energy, double error) {
  return data_access<int, gamma>(energy+error, energy-error,
    offsetof(gamma, parent_nuc), gamma_data);
}

std::vector<int> pyne::gamma_child(double energy, double error) {
  return data_access<int, gamma>(energy+error, energy-error,
  offsetof(gamma, child_nuc), gamma_data);
}

std::vector<int> pyne::gamma_child(int parent) {
  return data_access<int, gamma>(parent, 0.0, DBL_MAX,
  offsetof(gamma, child_nuc), gamma_data);
}

std::vector<std::pair<double, double> > pyne::gamma_xrays(int parent) {
  std::vector<std::pair<double, double> > result;
  std::vector<std::pair<double, double> > temp;
  std::vector<double> k_list = data_access<double, gamma>(parent, 0.0, DBL_MAX,
    offsetof(gamma, k_conv_e), gamma_data);
  std::vector<double> l_list = data_access<double, gamma>(parent, 0.0, DBL_MAX,
    offsetof(gamma, l_conv_e), gamma_data);
  std::vector<int> children = data_access<int, gamma>(parent, 0.0,
    DBL_MAX, offsetof(gamma, from_nuc), gamma_data);
  std::vector<int> decay_children = decay_data_children(parent);
  std::vector<std::pair<double, double> > decay_br =
    decay_photon_branch_ratios(parent);
  for(int i = 0; i < k_list.size(); ++i){
    for (int j = 0; j < decay_children.size(); ++j) {
      if (nucname::zzzaaa(children[i]) == nucname::zzzaaa(decay_children[j])) {
        temp = calculate_xray_data(nucname::znum(children[i]),
          k_list[i]*decay_br[j].first, l_list[i]*decay_br[j].first);
        for (int k = 0; k < temp.size(); ++k) {
          if (!isnan(temp[k].second) && !isnan(temp[k].first)) {
            int found = 0;
            for (int l = 0; l < result.size(); ++l) {
              if (temp[k].first == result[l].first) {
                result[l].second = result[l].second + temp[k].second;
                found = 1;
                break;
              }
            }
            if (found == 0) {
              result.push_back(temp[k]);
            }
          }
        }
        break;
      }
    }
  }
  return result;
}

std::map<std::pair<int, double>, pyne::alpha> pyne::alpha_data;

template<> void pyne::_load_data<pyne::alpha>() {

  // Loads the alpha table into memory
  herr_t status;

  //Check to see if the file is in HDF5 format.
  if (!pyne::file_exists(pyne::NUC_DATA_PATH))
    throw pyne::FileNotFound(pyne::NUC_DATA_PATH);

  bool ish5 = H5Fis_hdf5(pyne::NUC_DATA_PATH.c_str());
  if (!ish5)
    throw h5wrap::FileNotHDF5(pyne::NUC_DATA_PATH);

  // Get the HDF5 compound type (table) description
  hid_t desc = H5Tcreate(H5T_COMPOUND, sizeof(alpha));
  status = H5Tinsert(desc, "from_nuc", HOFFSET(alpha, from_nuc),
                     H5T_NATIVE_INT);
  status = H5Tinsert(desc, "to_nuc", HOFFSET(alpha, to_nuc),
                     H5T_NATIVE_INT);
  status = H5Tinsert(desc, "energy", HOFFSET(alpha, energy),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "intensity", HOFFSET(alpha, intensity),
                     H5T_NATIVE_DOUBLE);


  // Open the HDF5 file
  hid_t nuc_data_h5 = H5Fopen(pyne::NUC_DATA_PATH.c_str(), H5F_ACC_RDONLY,
                              H5P_DEFAULT);

  // Open the data set
  hid_t alpha_set = H5Dopen2(nuc_data_h5, "/decay/alphas", H5P_DEFAULT);
  hid_t alpha_space = H5Dget_space(alpha_set);
  int alpha_length = H5Sget_simple_extent_npoints(alpha_space);

  // Read in the data
  alpha * alpha_array = new alpha[alpha_length];
  status = H5Dread(alpha_set, desc, H5S_ALL, H5S_ALL, H5P_DEFAULT,
                   alpha_array);

  // close the nuc_data library, before doing anything stupid
  status = H5Dclose(alpha_set);
  status = H5Fclose(nuc_data_h5);

  for (int i = 0; i < alpha_length; ++i) {
    if ((alpha_array[i].from_nuc != 0) && !isnan(alpha_array[i].energy))
      alpha_data[std::make_pair(alpha_array[i].from_nuc, alpha_array[i].energy)]
        = alpha_array[i];
  }
  delete[] alpha_array;
}

std::vector<double > pyne::alpha_energy(int parent){
  return data_access<double, alpha>(parent, 0.0, DBL_MAX,
                     offsetof(alpha,energy), alpha_data);
}
std::vector<double> pyne::alpha_intensity(int parent){
  return data_access<double, alpha>(parent, 0.0, DBL_MAX,
                     offsetof(alpha,intensity), alpha_data);
}

std::vector<int> pyne::alpha_parent(double energy, double error) {
  return data_access<int, alpha>(energy+error, energy-error,
                     offsetof(alpha, from_nuc), alpha_data);
}

std::vector<int> pyne::alpha_child(double energy, double error) {
  return data_access<int, alpha>(energy+error, energy-error,
                     offsetof(alpha, to_nuc), alpha_data);
}

std::vector<int> pyne::alpha_child(int parent){
  return data_access<int, alpha>(parent, 0.0, DBL_MAX,
                     offsetof(alpha, to_nuc), alpha_data);
}

std::map<std::pair<int, double>, pyne::beta> pyne::beta_data;

template<> void pyne::_load_data<pyne::beta>() {

  // Loads the beta table into memory
  herr_t status;

  //Check to see if the file is in HDF5 format.
  if (!pyne::file_exists(pyne::NUC_DATA_PATH))
    throw pyne::FileNotFound(pyne::NUC_DATA_PATH);

  bool ish5 = H5Fis_hdf5(pyne::NUC_DATA_PATH.c_str());
  if (!ish5)
    throw h5wrap::FileNotHDF5(pyne::NUC_DATA_PATH);

  // Get the HDF5 compound type (table) description
  hid_t desc = H5Tcreate(H5T_COMPOUND, sizeof(beta));
  status = H5Tinsert(desc, "endpoint_energy", HOFFSET(beta,
                     endpoint_energy), H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "avg_energy", HOFFSET(beta, avg_energy),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "intensity", HOFFSET(beta, intensity),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "from_nuc", HOFFSET(beta, from_nuc),
                     H5T_NATIVE_INT);
  status = H5Tinsert(desc, "to_nuc", HOFFSET(beta, to_nuc),
                     H5T_NATIVE_INT);


  // Open the HDF5 file
  hid_t nuc_data_h5 = H5Fopen(pyne::NUC_DATA_PATH.c_str(), H5F_ACC_RDONLY,
                              H5P_DEFAULT);

  // Open the data set
  hid_t beta_set = H5Dopen2(nuc_data_h5, "/decay/betas", H5P_DEFAULT);
  hid_t beta_space = H5Dget_space(beta_set);
  int beta_length = H5Sget_simple_extent_npoints(beta_space);

  // Read in the data
  beta * beta_array = new beta[beta_length];
  status = H5Dread(beta_set, desc, H5S_ALL, H5S_ALL, H5P_DEFAULT, beta_array);

  // close the nuc_data library, before doing anything stupid
  status = H5Dclose(beta_set);
  status = H5Fclose(nuc_data_h5);

  for (int i = 0; i < beta_length; ++i) {
    if ((beta_array[i].from_nuc != 0) && !isnan(beta_array[i].avg_energy))
      beta_data[std::make_pair(beta_array[i].from_nuc, beta_array[i].avg_energy)]
        = beta_array[i];
  }
  delete[] beta_array;
}

std::vector<double > pyne::beta_endpoint_energy(int parent){
  return data_access<double, beta>(parent, 0.0, DBL_MAX,
                     offsetof(beta, endpoint_energy), beta_data);
}

std::vector<double > pyne::beta_average_energy(int parent){
  return data_access<double, beta>(parent, 0.0, DBL_MAX,
                     offsetof(beta, avg_energy), beta_data);
}

std::vector<double> pyne::beta_intensity(int parent){
  return data_access<double, beta>(parent, 0.0, DBL_MAX,
                     offsetof(beta, intensity), beta_data);
}

std::vector<int> pyne::beta_parent(double energy, double error) {
  return data_access<int, beta>(energy+error, energy-error,
                     offsetof(beta, from_nuc), beta_data);
}

std::vector<int> pyne::beta_child(double energy, double error) {
  return data_access<int, beta>(energy+error, energy-error,
                     offsetof(beta, to_nuc), beta_data);
}

std::vector<int> pyne::beta_child(int parent){
  return data_access<int, beta>(parent, 0.0, DBL_MAX,
                     offsetof(beta, to_nuc),beta_data);
}


std::map<std::pair<int, double>, pyne::ecbp> pyne::ecbp_data;

template<> void pyne::_load_data<pyne::ecbp>() {

  // Loads the ecbp table into memory
  herr_t status;

  //Check to see if the file is in HDF5 format.
  if (!pyne::file_exists(pyne::NUC_DATA_PATH))
    throw pyne::FileNotFound(pyne::NUC_DATA_PATH);

  bool ish5 = H5Fis_hdf5(pyne::NUC_DATA_PATH.c_str());
  if (!ish5)
    throw h5wrap::FileNotHDF5(pyne::NUC_DATA_PATH);

  // Get the HDF5 compound type (table) description
  hid_t desc = H5Tcreate(H5T_COMPOUND, sizeof(ecbp));
  status = H5Tinsert(desc, "from_nuc", HOFFSET(ecbp, from_nuc),
                     H5T_NATIVE_INT);
  status = H5Tinsert(desc, "to_nuc", HOFFSET(ecbp, to_nuc),
                     H5T_NATIVE_INT);
  status = H5Tinsert(desc, "endpoint_energy", HOFFSET(ecbp,
                     endpoint_energy),H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "avg_energy", HOFFSET(ecbp, avg_energy),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "beta_plus_intensity", HOFFSET(ecbp,
                     beta_plus_intensity), H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "ec_intensity", HOFFSET(ecbp, ec_intensity),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "k_conv_e", HOFFSET(ecbp, k_conv_e),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "l_conv_e", HOFFSET(ecbp, l_conv_e),
                     H5T_NATIVE_DOUBLE);
  status = H5Tinsert(desc, "m_conv_e", HOFFSET(ecbp, m_conv_e),
                     H5T_NATIVE_DOUBLE);

  // Open the HDF5 file
  hid_t nuc_data_h5 = H5Fopen(pyne::NUC_DATA_PATH.c_str(), H5F_ACC_RDONLY,
                              H5P_DEFAULT);

  // Open the data set
  hid_t ecbp_set = H5Dopen2(nuc_data_h5, "/decay/ecbp", H5P_DEFAULT);
  hid_t ecbp_space = H5Dget_space(ecbp_set);
  int ecbp_length = H5Sget_simple_extent_npoints(ecbp_space);

  // Read in the data
  ecbp * ecbp_array = new ecbp[ecbp_length];
  status = H5Dread(ecbp_set, desc, H5S_ALL, H5S_ALL, H5P_DEFAULT, ecbp_array);

  // close the nuc_data library, before doing anything stupid
  status = H5Dclose(ecbp_set);
  status = H5Fclose(nuc_data_h5);

  for (int i = 0; i < ecbp_length; ++i) {
    if ((ecbp_array[i].from_nuc != 0) && !isnan(ecbp_array[i].avg_energy))
      ecbp_data[std::make_pair(ecbp_array[i].from_nuc, ecbp_array[i].avg_energy)]
        = ecbp_array[i];
  }
  delete[] ecbp_array;
}

std::vector<double > pyne::ecbp_endpoint_energy(int parent){
  return data_access<double, ecbp>(parent, 0.0, DBL_MAX,
                     offsetof(ecbp,endpoint_energy), ecbp_data);
}

std::vector<double > pyne::ecbp_average_energy(int parent){
  return data_access<double, ecbp>(parent, 0.0, DBL_MAX,
                     offsetof(ecbp, avg_energy), ecbp_data);
}

std::vector<double> pyne::ec_intensity(int parent){
  return data_access<double, ecbp>(parent, 0.0, DBL_MAX,
                     offsetof(ecbp, ec_intensity), ecbp_data);
}

std::vector<double> pyne::bp_intensity(int parent){
  return data_access<double, ecbp>(parent, 0.0, DBL_MAX,
                     offsetof(ecbp, beta_plus_intensity), ecbp_data);
}

std::vector<int> pyne::ecbp_parent(double energy, double error) {
  return data_access<int, ecbp>(energy+error, energy-error,
                     offsetof(ecbp, from_nuc), ecbp_data);
}

std::vector<int> pyne::ecbp_child(double energy, double error) {
  return data_access<int, ecbp>(energy+error, energy-error,
                     offsetof(ecbp, to_nuc), ecbp_data);
}

std::vector<int> pyne::ecbp_child(int parent){
  return data_access<int, ecbp>(parent, 0.0, DBL_MAX,
                     offsetof(ecbp, to_nuc), ecbp_data);
}

std::vector<std::pair<double, double> > pyne::ecbp_xrays(int parent) {
  std::vector<std::pair<double, double> > result;
  std::vector<std::pair<double, double> > temp;
  std::vector<double> k_list = data_access<double, ecbp>(parent, 0.0, DBL_MAX,
    offsetof(ecbp, k_conv_e), ecbp_data);
  std::vector<double> l_list = data_access<double, ecbp>(parent, 0.0, DBL_MAX,
    offsetof(ecbp, l_conv_e), ecbp_data);
  std::vector<int> children = data_access<int, ecbp>(parent, 0.0, DBL_MAX,
    offsetof(ecbp, to_nuc), ecbp_data);
  std::vector<int> decay_children = decay_data_children(parent);
  std::vector<std::pair<double, double> > decay_br =
    decay_beta_branch_ratios(parent);
  for(int i = 0; i < k_list.size(); ++i){
    for (int j = 0; j < decay_children.size(); ++j) {
      if (nucname::zzzaaa(children[i]) == nucname::zzzaaa(decay_children[j])) {
        temp = calculate_xray_data(nucname::znum(children[i]),
          k_list[i]*decay_br[j].first, l_list[i]*decay_br[j].first);
        for (int k = 0; k < temp.size(); ++k) {
          if (!isnan(temp[k].second) && !isnan(temp[k].first)) {
            int found = 0;
            for (int l = 0; l < result.size(); ++l) {
              if (temp[k].first == result[l].first) {
                result[l].second = result[l].second + temp[k].second;
                found = 1;
                break;
              }
            }
            if (found == 0) {
              result.push_back(temp[k]);
            }
          }
        }
        break;
      }
    }
  }
  return result;
}

///////////////////////////
/// Combined decay data ///
///////////////////////////

std::vector<std::pair<double, double> > pyne::gammas(int parent_state_id) {
  std::vector<std::pair<double, double> > result;
  double decay_c = decay_const(parent_state_id);
  std::vector<std::pair<double, double> > energies = gamma_energy(parent_state_id);
  std::vector<std::pair<double, double> > intensities =
    gamma_photon_intensity(parent_state_id);
  std::vector<std::pair<int, int> > children = gamma_from_to(parent_state_id);
  std::vector<int> decay_children = decay_data_children(parent_state_id);
  std::vector<std::pair<double, double> > decay_br =
    decay_photon_branch_ratios(parent_state_id);
  for (int i = 0; i < children.size(); ++i) {
    for (int j = 0; j < decay_children.size(); ++j) {
      if (nucname::zzzaaa(children[i].first) == nucname::zzzaaa(decay_children[j])) {
        result.push_back(std::make_pair(energies[i].first,
          decay_c*intensities[i].first*decay_br[j].first));
      }
    }
  }
  return result;
}

std::vector<std::pair<double, double> > pyne::alphas(int parent_state_id) {
  std::vector<std::pair<double, double> > result;
  double decay_c = decay_const(parent_state_id);
  std::vector<double> energies = alpha_energy(parent_state_id);
  std::vector<double> intensities = alpha_intensity(parent_state_id);
  std::vector<int> children = alpha_child(parent_state_id);
  std::vector<int> decay_children = decay_data_children(parent_state_id);
  std::vector<double> decay_br = decay_branch_ratios(parent_state_id);
  for (int i = 0; i < children.size(); ++i) {
    for (int j = 0; j < decay_children.size(); ++j) {
      if (nucname::zzzaaa(children[i]) == nucname::zzzaaa(decay_children[j])) {
        result.push_back(std::make_pair(energies[i],
          decay_c*decay_br[j]*intensities[i]));
      }
    }
  }
  return result;
}

std::vector<std::pair<double, double> > pyne::betas(int parent_state_id) {
  std::vector<std::pair<double, double> > result;
  double decay_c = decay_const(parent_state_id);
  std::vector<double> energies = beta_average_energy(parent_state_id);
  std::vector<double> intensities = beta_intensity(parent_state_id);
  std::vector<int> children = beta_child(parent_state_id);
  std::vector<int> decay_children = decay_data_children(parent_state_id);
  std::vector<std::pair<double, double> > decay_br =
    decay_beta_branch_ratios(parent_state_id);
  for (int i = 0; i < children.size(); ++i) {
    for (int j = 0; j < decay_children.size(); ++j) {
      if (nucname::zzzaaa(children[i]) == nucname::zzzaaa(decay_children[j])) {
        result.push_back(std::make_pair(energies[i],
          decay_c*decay_br[j].first*intensities[i]));
        break;
      }
    }
  }
  return result;
}

std::vector<std::pair<double, double> > pyne::xrays(int parent) {
  double decay_c = decay_const(parent);
  std::vector<std::pair<double, double> > result;
  std::vector<std::pair<double, double> > temp;
  std::vector<double> k_list = data_access<double, ecbp>(parent, 0.0, DBL_MAX,
    offsetof(ecbp, k_conv_e), ecbp_data);
  std::vector<double> l_list = data_access<double, ecbp>(parent, 0.0, DBL_MAX,
    offsetof(ecbp, l_conv_e), ecbp_data);
  std::vector<int> children = data_access<int, ecbp>(parent, 0.0, DBL_MAX,
                     offsetof(ecbp, to_nuc), ecbp_data);
  std::vector<int> decay_children = decay_data_children(parent);
  std::vector<std::pair<double, double> > decay_br =
    decay_beta_branch_ratios(parent);
  for(int i = 0; i < k_list.size(); ++i){
    for (int j = 0; j < decay_children.size(); ++j) {
      if (nucname::zzzaaa(children[i]) == nucname::zzzaaa(decay_children[j])) {
        temp = calculate_xray_data(nucname::znum(children[i]),
          k_list[i]*decay_br[j].first, l_list[i]*decay_br[j].first);
        for (int k = 0; k < temp.size(); ++k) {
          if (!isnan(temp[k].second) && !isnan(temp[k].first)) {
            int found = 0;
            for (int l = 0; l < result.size(); ++l) {
              if (temp[k].first == result[l].first) {
                result[l].second = result[l].second + temp[k].second;
                found = 1;
                break;
              }
            }
            if (found == 0) {
              result.push_back(temp[k]);
            }
          }
        }
        break;
      }
    }
  }
  std::vector<double> gk_list = data_access<double, gamma>(parent, 0.0, DBL_MAX,
    offsetof(gamma, k_conv_e), gamma_data);
  std::vector<double> gl_list = data_access<double, gamma>(parent, 0.0, DBL_MAX,
    offsetof(gamma, l_conv_e), gamma_data);
  std::vector<int> gchildren = data_access<int, gamma>(parent, 0.0,
    DBL_MAX, offsetof(gamma, from_nuc), gamma_data);
  std::vector<std::pair<double, double> > decay_nrbr =
    decay_photon_branch_ratios(parent);
  for(int i = 0; i < gk_list.size(); ++i){
    for (int j = 0; j < decay_children.size(); ++j) {
      if (nucname::zzzaaa(gchildren[i]) == nucname::zzzaaa(decay_children[j])) {
        temp = calculate_xray_data(nucname::znum(gchildren[i]),
          gk_list[i]*decay_nrbr[j].first, gl_list[i]*decay_nrbr[j].first);
        for (int k = 0; k < temp.size(); ++k) {
          if (!isnan(temp[k].second) && !isnan(temp[k].first)) {
            int found = 0;
            for (int l = 0; l < result.size(); ++l) {
              if (temp[k].first == result[l].first) {
                result[l].second = result[l].second + temp[k].second;
                found = 1;
                break;
              }
            }
            if (found == 0) {
              result.push_back(temp[k]);
            }
          }
        }
        break;
      }
    }
  }

  for(int i = 0; i < result.size(); ++i)
    result[i].second = result[i].second * decay_c;
  return result;
}

//////////////////////////////////////////
//////////// simple xs data //////////////
//////////////////////////////////////////

typedef struct simple_xs {
  int nuc;
  double sigma_t;
  double sigma_s;
  double sigma_e;
  double sigma_i;
  double sigma_a;
  double sigma_gamma;
  double sigma_f;
  double sigma_alpha;
  double sigma_proton;
  double sigma_deut;
  double sigma_trit;
  double sigma_2n;
  double sigma_3n;
  double sigma_4n;
} simple_xs;

std::map<std::string, std::map<int, std::map<int, double> > > pyne::simple_xs_map;

// loads the simple cross section data for the specified energy band from
// the nuc_data.h5 file into memory.
static void _load_simple_xs_map(std::string energy) {
  //Check to see if the file is in HDF5 format.
  if (!pyne::file_exists(pyne::NUC_DATA_PATH))
    throw pyne::FileNotFound(pyne::NUC_DATA_PATH);

  bool ish5 = H5Fis_hdf5(pyne::NUC_DATA_PATH.c_str());
  if (!ish5)
    throw h5wrap::FileNotHDF5(pyne::NUC_DATA_PATH);

  using pyne::rxname::id;
  std::map<unsigned int, size_t> rxns;
  rxns[id("tot")] = offsetof(simple_xs, sigma_t);
  rxns[id("scat")] = offsetof(simple_xs, sigma_s);
  rxns[id("elas")] = offsetof(simple_xs, sigma_e);
  rxns[id("inel")] = offsetof(simple_xs, sigma_i);
  rxns[id("abs")] = offsetof(simple_xs, sigma_a);
  rxns[id("gamma")] = offsetof(simple_xs, sigma_gamma);
  rxns[id("fiss")] = offsetof(simple_xs, sigma_f);
  rxns[id("alpha")] = offsetof(simple_xs, sigma_alpha);
  rxns[id("proton")] = offsetof(simple_xs, sigma_proton);
  rxns[id("deut")] = offsetof(simple_xs, sigma_deut);
  rxns[id("trit")] = offsetof(simple_xs, sigma_trit);
  rxns[id("z_2n")] = offsetof(simple_xs, sigma_2n);
  rxns[id("z_3n")] = offsetof(simple_xs, sigma_3n);
  rxns[id("z_4n")] = offsetof(simple_xs, sigma_4n);

  // Get the HDF5 compound type (table) description
  hid_t desc = H5Tcreate(H5T_COMPOUND, sizeof(simple_xs));
  H5Tinsert(desc, "nuc",   HOFFSET(simple_xs, nuc),   H5T_NATIVE_INT);
  H5Tinsert(desc, "sigma_t",  HOFFSET(simple_xs, sigma_t),  H5T_NATIVE_DOUBLE);
  H5Tinsert(desc, "sigma_s", HOFFSET(simple_xs, sigma_s), H5T_NATIVE_DOUBLE);
  H5Tinsert(desc, "sigma_e", HOFFSET(simple_xs, sigma_e), H5T_NATIVE_DOUBLE);
  H5Tinsert(desc, "sigma_i", HOFFSET(simple_xs, sigma_i), H5T_NATIVE_DOUBLE);
  H5Tinsert(desc, "sigma_a", HOFFSET(simple_xs, sigma_a), H5T_NATIVE_DOUBLE);
  H5Tinsert(desc, "sigma_gamma", HOFFSET(simple_xs, sigma_gamma), H5T_NATIVE_DOUBLE);
  H5Tinsert(desc, "sigma_f", HOFFSET(simple_xs, sigma_f), H5T_NATIVE_DOUBLE);
  H5Tinsert(desc, "sigma_alpha", HOFFSET(simple_xs, sigma_alpha), H5T_NATIVE_DOUBLE);
  H5Tinsert(desc, "sigma_proton", HOFFSET(simple_xs, sigma_proton), H5T_NATIVE_DOUBLE);
  H5Tinsert(desc, "sigma_deut", HOFFSET(simple_xs, sigma_deut), H5T_NATIVE_DOUBLE);
  H5Tinsert(desc, "sigma_trit", HOFFSET(simple_xs, sigma_trit), H5T_NATIVE_DOUBLE);
  H5Tinsert(desc, "sigma_2n", HOFFSET(simple_xs, sigma_2n), H5T_NATIVE_DOUBLE);
  H5Tinsert(desc, "sigma_3n", HOFFSET(simple_xs, sigma_3n), H5T_NATIVE_DOUBLE);
  H5Tinsert(desc, "sigma_4n", HOFFSET(simple_xs, sigma_4n), H5T_NATIVE_DOUBLE);

  // Open the HDF5 file
  hid_t nuc_data_h5 = H5Fopen(pyne::NUC_DATA_PATH.c_str(), H5F_ACC_RDONLY, H5P_DEFAULT);

  // build path to prober simple xs table
  std::string path = "/neutron/simple_xs/" + energy;

  // Open the data set
  hid_t simple_xs_set = H5Dopen2(nuc_data_h5, path.c_str(), H5P_DEFAULT);
  hid_t simple_xs_space = H5Dget_space(simple_xs_set);
  int n = H5Sget_simple_extent_npoints(simple_xs_space);

  // Read in the data
  simple_xs* array = new simple_xs[n];
  H5Dread(simple_xs_set, desc, H5S_ALL, H5S_ALL, H5P_DEFAULT, array);

  // close the nuc_data library, before doing anything stupid
  H5Dclose(simple_xs_set);
  H5Fclose(nuc_data_h5);

  // Ok now that we have the array of stucts, put it in the map
  for(int i = 0; i < n; i++) {
    std::map<unsigned int, size_t>::iterator it;
    for (it = rxns.begin(); it != rxns.end(); ++it) {
      double xs = *(double*)((char*)&array[i] + it->second);
      pyne::simple_xs_map[energy][array[i].nuc][it->first] = xs;
    }
  }
  delete[] array;
}

double pyne::simple_xs(int nuc, int rx_id, std::string energy) {
  std::set<std::string> energies;
  energies.insert("thermal");
  energies.insert("thermal_maxwell_ave");
  energies.insert("resonance_integral");
  energies.insert("fourteen_MeV");
  energies.insert("fission_spectrum_ave");

  if (energies.count(energy) == 0) {
    throw InvalidSimpleXS("Energy '" + energy +
        "' is not a valid simple_xs group");
  } else if (simple_xs_map.count(energy) == 0) {
    _load_simple_xs_map(energy);
  }

  if (simple_xs_map[energy].count(nuc) == 0) {
    throw InvalidSimpleXS(rxname::name(rx_id) +
        " is not a valid simple_xs nuclide");
  } else if (simple_xs_map[energy][nuc].count(rx_id) == 0) {
    throw InvalidSimpleXS(rxname::name(rx_id) +
        " is not a valid simple_xs reaction");
  }

  return simple_xs_map[energy][nuc][rx_id];
}

double pyne::simple_xs(int nuc, std::string rx, std::string energy) {
  return pyne::simple_xs(nucname::id(nuc), rxname::id(rx), energy);
}
double pyne::simple_xs(std::string nuc, int rx, std::string energy) {
  return pyne::simple_xs(nucname::id(nuc), rxname::id(rx), energy);
}
double pyne::simple_xs(std::string nuc, std::string rx, std::string energy) {
  return pyne::simple_xs(nucname::id(nuc), rxname::id(rx), energy);
}
//
// end of src/data.cpp
//


//
// start of src/jsoncpp.cpp
//
/// Json-cpp amalgated source (http://jsoncpp.sourceforge.net/).
/// It is intented to be used with #include <json.h>

// //////////////////////////////////////////////////////////////////////
// Beginning of content of file: LICENSE
// //////////////////////////////////////////////////////////////////////

/*
The JsonCpp library's source code, including accompanying documentation, 
tests and demonstration applications, are licensed under the following
conditions...

The author (Baptiste Lepilleur) explicitly disclaims copyright in all 
jurisdictions which recognize such a disclaimer. In such jurisdictions, 
this software is released into the Public Domain.

In jurisdictions which do not recognize Public Domain property (e.g. Germany as of
2010), this software is Copyright (c) 2007-2010 by Baptiste Lepilleur, and is
released under the terms of the MIT License (see below).

In jurisdictions which recognize Public Domain property, the user of this 
software may choose to accept it either as 1) Public Domain, 2) under the 
conditions of the MIT License (see below), or 3) under the terms of dual 
Public Domain/MIT License conditions described here, as they choose.

The MIT License is about as close to Public Domain as a license can get, and is
described in clear, concise terms at:

   http://en.wikipedia.org/wiki/MIT_License
   
The full text of the MIT License follows:

========================================================================
Copyright (c) 2007-2010 Baptiste Lepilleur

Permission is hereby granted, free of charge, to any person
obtaining a copy of this software and associated documentation
files (the "Software"), to deal in the Software without
restriction, including without limitation the rights to use, copy,
modify, merge, publish, distribute, sublicense, and/or sell copies
of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be
included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS
BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
========================================================================
(END LICENSE TEXT)

The MIT license is compatible with both the GPL and commercial
software, affording one all of the rights of Public Domain with the
minor nuisance of being required to keep the above copyright notice
and license text in the source code. Note also that by accepting the
Public Domain "license" you can re-license your copy using whatever
license you like.

*/

// //////////////////////////////////////////////////////////////////////
// End of content of file: LICENSE
// //////////////////////////////////////////////////////////////////////





#ifdef PYNE_IS_AMALGAMATED
  #if !defined(JSON_IS_AMALGAMATION)
    #define JSON_IS_AMALGAMATION
  #endif
#else
  #include "json.h"
#endif


// //////////////////////////////////////////////////////////////////////
// Beginning of content of file: src/lib_json/json_tool.h
// //////////////////////////////////////////////////////////////////////

// Copyright 2007-2010 Baptiste Lepilleur
// Distributed under MIT license, or public domain if desired and
// recognized in your jurisdiction.
// See file LICENSE for detail or copy at http://jsoncpp.sourceforge.net/LICENSE

#ifndef LIB_JSONCPP_JSON_TOOL_H_INCLUDED
# define LIB_JSONCPP_JSON_TOOL_H_INCLUDED

/* This header provides common string manipulation support, such as UTF-8,
 * portable conversion from/to string...
 *
 * It is an internal header that must not be exposed.
 */

namespace Json {

/// Converts a unicode code-point to UTF-8.
static inline std::string 
codePointToUTF8(unsigned int cp) {
   std::string result;
   
   // based on description from http://en.wikipedia.org/wiki/UTF-8

   if (cp <= 0x7f) {
      result.resize(1);
      result[0] = static_cast<char>(cp);
   } else if (cp <= 0x7FF) {
      result.resize(2);
      result[1] = static_cast<char>(0x80 | (0x3f & cp));
      result[0] = static_cast<char>(0xC0 | (0x1f & (cp >> 6)));
   } else if (cp <= 0xFFFF) {
      result.resize(3);
      result[2] = static_cast<char>(0x80 | (0x3f & cp));
      result[1] = 0x80 | static_cast<char>((0x3f & (cp >> 6)));
      result[0] = 0xE0 | static_cast<char>((0xf & (cp >> 12)));
   } else if (cp <= 0x10FFFF) {
      result.resize(4);
      result[3] = static_cast<char>(0x80 | (0x3f & cp));
      result[2] = static_cast<char>(0x80 | (0x3f & (cp >> 6)));
      result[1] = static_cast<char>(0x80 | (0x3f & (cp >> 12)));
      result[0] = static_cast<char>(0xF0 | (0x7 & (cp >> 18)));
   }

   return result;
}


/// Returns true if ch is a control character (in range [0,32[).
static inline bool 
isControlCharacter(char ch) {
   return ch > 0 && ch <= 0x1F;
}


enum { 
   /// Constant that specify the size of the buffer that must be passed to uintToString.
   uintToStringBufferSize = 3*sizeof(LargestUInt)+1 
};

// Defines a char buffer for use with uintToString().
typedef char UIntToStringBuffer[uintToStringBufferSize];


/** Converts an unsigned integer to string.
 * @param value Unsigned interger to convert to string
 * @param current Input/Output string buffer. 
 *        Must have at least uintToStringBufferSize chars free.
 */
static inline void 
uintToString( LargestUInt value, 
              char *&current ) {
   *--current = 0;
   do {
      *--current = char(value % 10) + '0';
      value /= 10;
   }
   while ( value != 0 );
}

} // namespace Json {

#endif // LIB_JSONCPP_JSON_TOOL_H_INCLUDED

// //////////////////////////////////////////////////////////////////////
// End of content of file: src/lib_json/json_tool.h
// //////////////////////////////////////////////////////////////////////






// //////////////////////////////////////////////////////////////////////
// Beginning of content of file: src/lib_json/json_reader.cpp
// //////////////////////////////////////////////////////////////////////

// Copyright 2007-2010 Baptiste Lepilleur
// Distributed under MIT license, or public domain if desired and
// recognized in your jurisdiction.
// See file LICENSE for detail or copy at http://jsoncpp.sourceforge.net/LICENSE

#if !defined(JSON_IS_AMALGAMATION)
# include <json/reader.h>
# include <json/value.h>
# include "json_tool.h"
#endif // if !defined(JSON_IS_AMALGAMATION)
#include <utility>
#include <cstdio>
#include <cassert>
#include <cstring>
#include <iostream>
#include <stdexcept>

#if _MSC_VER >= 1400 // VC++ 8.0
#pragma warning( disable : 4996 )   // disable warning about strdup being deprecated.
#endif

namespace Json {

// Implementation of class Features
// ////////////////////////////////

Features::Features()
   : allowComments_( true )
   , strictRoot_( false ) {
}


Features 
Features::all() {
   return Features();
}


Features 
Features::strictMode() {
   Features features;
   features.allowComments_ = false;
   features.strictRoot_ = true;
   return features;
}

// Implementation of class Reader
// ////////////////////////////////


static inline bool 
in( Reader::Char c, Reader::Char c1, Reader::Char c2, Reader::Char c3, Reader::Char c4 ) {
   return c == c1  ||  c == c2  ||  c == c3  ||  c == c4;
}

static inline bool 
in( Reader::Char c, Reader::Char c1, Reader::Char c2, Reader::Char c3, Reader::Char c4, Reader::Char c5 ) {
   return c == c1  ||  c == c2  ||  c == c3  ||  c == c4  ||  c == c5;
}


static bool 
containsNewLine( Reader::Location begin, 
                 Reader::Location end ) {
   for ( ;begin < end; ++begin )
      if ( *begin == '\n'  ||  *begin == '\r' )
         return true;
   return false;
}


// Class Reader
// //////////////////////////////////////////////////////////////////

Reader::Reader()
   : features_( Features::all() ) {
}


Reader::Reader( const Features &features )
   : features_( features ) {
}


bool
Reader::parse( const std::string &document, 
               Value &root,
               bool collectComments ) {
   document_ = document;
   const char *begin = document_.c_str();
   const char *end = begin + document_.length();
   return parse( begin, end, root, collectComments );
}


bool
Reader::parse( std::istream& sin,
               Value &root,
               bool collectComments ) {
   //std::istream_iterator<char> begin(sin);
   //std::istream_iterator<char> end;
   // Those would allow streamed input from a file, if parse() were a
   // template function.

   // Since std::string is reference-counted, this at least does not
   // create an extra copy.
   std::string doc;
   std::getline(sin, doc, (char)EOF);
   return parse( doc, root, collectComments );
}

bool 
Reader::parse( const char *beginDoc, const char *endDoc, 
               Value &root,
               bool collectComments ) {
   if ( !features_.allowComments_ ) {
      collectComments = false;
   }

   begin_ = beginDoc;
   end_ = endDoc;
   collectComments_ = collectComments;
   current_ = begin_;
   lastValueEnd_ = 0;
   lastValue_ = 0;
   commentsBefore_ = "";
   errors_.clear();
   while ( !nodes_.empty() )
      nodes_.pop();
   nodes_.push( &root );
   
   bool successful = readValue();
   Token token;
   skipCommentTokens( token );
   if ( collectComments_  &&  !commentsBefore_.empty() )
      root.setComment( commentsBefore_, commentAfter );
   if ( features_.strictRoot_ ) {
      if ( !root.isArray()  &&  !root.isObject() ) {
         // Set error location to start of doc, ideally should be first token found in doc
         token.type_ = tokenError;
         token.start_ = beginDoc;
         token.end_ = endDoc;
         addError( "A valid JSON document must be either an array or an object value.",
                   token );
         return false;
      }
   }
   return successful;
}


bool
Reader::readValue() {
   Token token;
   skipCommentTokens( token );
   bool successful = true;

   if ( collectComments_  &&  !commentsBefore_.empty() ) {
      currentValue().setComment( commentsBefore_, commentBefore );
      commentsBefore_ = "";
   }


   switch ( token.type_ ) {
   case tokenObjectBegin:
      successful = readObject( token );
      break;
   case tokenArrayBegin:
      successful = readArray( token );
      break;
   case tokenNumber:
      successful = decodeNumber( token );
      break;
   case tokenString:
      successful = decodeString( token );
      break;
   case tokenTrue:
      currentValue() = true;
      break;
   case tokenFalse:
      currentValue() = false;
      break;
   case tokenNull:
      currentValue() = Value();
      break;
   default:
      return addError( "Syntax error: value, object or array expected.", token );
   }

   if ( collectComments_ ) {
      lastValueEnd_ = current_;
      lastValue_ = &currentValue();
   }

   return successful;
}


void 
Reader::skipCommentTokens( Token &token ) {
   if ( features_.allowComments_ ) {
      do {
         readToken( token );
      }
      while ( token.type_ == tokenComment );
   } else {
      readToken( token );
   }
}


bool 
Reader::expectToken( TokenType type, Token &token, const char *message ) {
   readToken( token );
   if ( token.type_ != type )
      return addError( message, token );
   return true;
}


bool 
Reader::readToken( Token &token ) {
   skipSpaces();
   token.start_ = current_;
   Char c = getNextChar();
   bool ok = true;
   switch ( c ) {
   case '{':
      token.type_ = tokenObjectBegin;
      break;
   case '}':
      token.type_ = tokenObjectEnd;
      break;
   case '[':
      token.type_ = tokenArrayBegin;
      break;
   case ']':
      token.type_ = tokenArrayEnd;
      break;
   case '"':
      token.type_ = tokenString;
      ok = readString();
      break;
   case '/':
      token.type_ = tokenComment;
      ok = readComment();
      break;
   case '0':
   case '1':
   case '2':
   case '3':
   case '4':
   case '5':
   case '6':
   case '7':
   case '8':
   case '9':
   case '-':
      token.type_ = tokenNumber;
      readNumber();
      break;
   case 't':
      token.type_ = tokenTrue;
      ok = match( "rue", 3 );
      break;
   case 'f':
      token.type_ = tokenFalse;
      ok = match( "alse", 4 );
      break;
   case 'n':
      token.type_ = tokenNull;
      ok = match( "ull", 3 );
      break;
   case ',':
      token.type_ = tokenArraySeparator;
      break;
   case ':':
      token.type_ = tokenMemberSeparator;
      break;
   case 0:
      token.type_ = tokenEndOfStream;
      break;
   default:
      ok = false;
      break;
   }
   if ( !ok )
      token.type_ = tokenError;
   token.end_ = current_;
   return true;
}


void 
Reader::skipSpaces() {
   while ( current_ != end_ ) {
      Char c = *current_;
      if ( c == ' '  ||  c == '\t'  ||  c == '\r'  ||  c == '\n' )
         ++current_;
      else
         break;
   }
}


bool 
Reader::match( Location pattern, 
               int patternLength ) {
   if ( end_ - current_ < patternLength )
      return false;
   int index = patternLength;
   while ( index-- )
      if ( current_[index] != pattern[index] )
         return false;
   current_ += patternLength;
   return true;
}


bool
Reader::readComment() {
   Location commentBegin = current_ - 1;
   Char c = getNextChar();
   bool successful = false;
   if ( c == '*' )
      successful = readCStyleComment();
   else if ( c == '/' )
      successful = readCppStyleComment();
   if ( !successful )
      return false;

   if ( collectComments_ ) {
      CommentPlacement placement = commentBefore;
      if ( lastValueEnd_  &&  !containsNewLine( lastValueEnd_, commentBegin ) )
      {
         if ( c != '*'  ||  !containsNewLine( commentBegin, current_ ) )
            placement = commentAfterOnSameLine;
      }

      addComment( commentBegin, current_, placement );
   }
   return true;
}


void 
Reader::addComment( Location begin, 
                    Location end, 
                    CommentPlacement placement ) {
   assert( collectComments_ );
   if ( placement == commentAfterOnSameLine )
   {
      assert( lastValue_ != 0 );
      lastValue_->setComment( std::string( begin, end ), placement );
   } else {
      if ( !commentsBefore_.empty() )
         commentsBefore_ += "\n";
      commentsBefore_ += std::string( begin, end );
   }
}


bool 
Reader::readCStyleComment() {
   while ( current_ != end_ ) {
      Char c = getNextChar();
      if ( c == '*'  &&  *current_ == '/' )
         break;
   }
   return getNextChar() == '/';
}


bool 
Reader::readCppStyleComment() {
   while ( current_ != end_ ) {
      Char c = getNextChar();
      if (  c == '\r'  ||  c == '\n' )
         break;
   }
   return true;
}


void 
Reader::readNumber() {
   while ( current_ != end_ ) {
      if ( !(*current_ >= '0'  &&  *current_ <= '9')  &&
           !in( *current_, '.', 'e', 'E', '+', '-' ) )
         break;
      ++current_;
   }
}

bool
Reader::readString() {
   Char c = 0;
   while ( current_ != end_ ) {
      c = getNextChar();
      if ( c == '\\' )
         getNextChar();
      else if ( c == '"' )
         break;
   }
   return c == '"';
}


bool 
Reader::readObject( Token &/*tokenStart*/ ) {
   Token tokenName;
   std::string name;
   currentValue() = Value( objectValue );
   while ( readToken( tokenName ) ) {
      bool initialTokenOk = true;
      while ( tokenName.type_ == tokenComment  &&  initialTokenOk )
         initialTokenOk = readToken( tokenName );
      if  ( !initialTokenOk )
         break;
      if ( tokenName.type_ == tokenObjectEnd  &&  name.empty() )  // empty object
         return true;
      if ( tokenName.type_ != tokenString )
         break;
      
      name = "";
      if ( !decodeString( tokenName, name ) )
         return recoverFromError( tokenObjectEnd );

      Token colon;
      if ( !readToken( colon ) ||  colon.type_ != tokenMemberSeparator ) {
         return addErrorAndRecover( "Missing ':' after object member name", 
                                    colon, 
                                    tokenObjectEnd );
      }
      Value &value = currentValue()[ name ];
      nodes_.push( &value );
      bool ok = readValue();
      nodes_.pop();
      if ( !ok ) // error already set
         return recoverFromError( tokenObjectEnd );

      Token comma;
      if ( !readToken( comma )
            ||  ( comma.type_ != tokenObjectEnd  &&  
                  comma.type_ != tokenArraySeparator &&
                  comma.type_ != tokenComment ) ) {
         return addErrorAndRecover( "Missing ',' or '}' in object declaration", 
                                    comma, 
                                    tokenObjectEnd );
      }
      bool finalizeTokenOk = true;
      while ( comma.type_ == tokenComment &&
              finalizeTokenOk )
         finalizeTokenOk = readToken( comma );
      if ( comma.type_ == tokenObjectEnd )
         return true;
   }
   return addErrorAndRecover( "Missing '}' or object member name", 
                              tokenName, 
                              tokenObjectEnd );
}


bool 
Reader::readArray( Token &/*tokenStart*/ ) {
   currentValue() = Value( arrayValue );
   skipSpaces();
   if ( *current_ == ']' ) { // empty array
      Token endArray;
      readToken( endArray );
      return true;
   }
   int index = 0;
   for (;;) {
      Value &value = currentValue()[ index++ ];
      nodes_.push( &value );
      bool ok = readValue();
      nodes_.pop();
      if ( !ok ) // error already set
         return recoverFromError( tokenArrayEnd );

      Token token;
      // Accept Comment after last item in the array.
      ok = readToken( token );
      while ( token.type_ == tokenComment  &&  ok ) {
         ok = readToken( token );
      }
      bool badTokenType = ( token.type_ != tokenArraySeparator  &&
                            token.type_ != tokenArrayEnd );
      if ( !ok  ||  badTokenType ) {
         return addErrorAndRecover( "Missing ',' or ']' in array declaration", 
                                    token, 
                                    tokenArrayEnd );
      }
      if ( token.type_ == tokenArrayEnd )
         break;
   }
   return true;
}


bool 
Reader::decodeNumber( Token &token ) {
   bool isDouble = false;
   for ( Location inspect = token.start_; inspect != token.end_; ++inspect )
   {
      isDouble = isDouble  
                 ||  in( *inspect, '.', 'e', 'E', '+' )  
                 ||  ( *inspect == '-'  &&  inspect != token.start_ );
   }
   if ( isDouble )
      return decodeDouble( token );
   // Attempts to parse the number as an integer. If the number is
   // larger than the maximum supported value of an integer then
   // we decode the number as a double.
   Location current = token.start_;
   bool isNegative = *current == '-';
   if ( isNegative )
      ++current;
   Value::LargestUInt maxIntegerValue = isNegative ? Value::LargestUInt(-Value::minLargestInt) 
                                                   : Value::maxLargestUInt;
   Value::LargestUInt threshold = maxIntegerValue / 10;
   Value::UInt lastDigitThreshold = Value::UInt( maxIntegerValue % 10 );
   assert( lastDigitThreshold >=0  &&  lastDigitThreshold <= 9 );
   Value::LargestUInt value = 0;
   while ( current < token.end_ ) {
      Char c = *current++;
      if ( c < '0'  ||  c > '9' )
         return addError( "'" + std::string( token.start_, token.end_ ) + "' is not a number.", token );
      Value::UInt digit(c - '0');
      if ( value >= threshold ) {
         // If the current digit is not the last one, or if it is
         // greater than the last digit of the maximum integer value,
         // the parse the number as a double.
         if ( current != token.end_  ||  digit > lastDigitThreshold ) {
            return decodeDouble( token );
         }
      }
      value = value * 10 + digit;
   }
   if ( isNegative )
      currentValue() = -Value::LargestInt( value );
   else if ( value <= Value::LargestUInt(Value::maxInt) )
      currentValue() = Value::LargestInt( value );
   else
      currentValue() = value;
   return true;
}


bool 
Reader::decodeDouble( Token &token ) {
   double value = 0;
   const int bufferSize = 32;
   int count;
   int length = int(token.end_ - token.start_);
   if ( length <= bufferSize ) {
      Char buffer[bufferSize+1];
      memcpy( buffer, token.start_, length );
      buffer[length] = 0;
      count = sscanf( buffer, "%lf", &value );
   } else {
      std::string buffer( token.start_, token.end_ );
      count = sscanf( buffer.c_str(), "%lf", &value );
   }

   if ( count != 1 )
      return addError( "'" + std::string( token.start_, token.end_ ) + "' is not a number.", token );
   currentValue() = value;
   return true;
}


bool 
Reader::decodeString( Token &token ) {
   std::string decoded;
   if ( !decodeString( token, decoded ) )
      return false;
   currentValue() = decoded;
   return true;
}


bool 
Reader::decodeString( Token &token, std::string &decoded ) {
   decoded.reserve( token.end_ - token.start_ - 2 );
   Location current = token.start_ + 1; // skip '"'
   Location end = token.end_ - 1;      // do not include '"'
   while ( current != end ) {
      Char c = *current++;
      if ( c == '"' )
         break;
      else if ( c == '\\' ) {
         if ( current == end )
            return addError( "Empty escape sequence in string", token, current );
         Char escape = *current++;
         switch ( escape ) {
         case '"': decoded += '"'; break;
         case '/': decoded += '/'; break;
         case '\\': decoded += '\\'; break;
         case 'b': decoded += '\b'; break;
         case 'f': decoded += '\f'; break;
         case 'n': decoded += '\n'; break;
         case 'r': decoded += '\r'; break;
         case 't': decoded += '\t'; break;
         case 'u': {
               unsigned int unicode;
               if ( !decodeUnicodeCodePoint( token, current, end, unicode ) )
                  return false;
               decoded += codePointToUTF8(unicode);
            }
            break;
         default:
            return addError( "Bad escape sequence in string", token, current );
         }
      }
      else {
         decoded += c;
      }
   }
   return true;
}

bool
Reader::decodeUnicodeCodePoint( Token &token, 
                                     Location &current, 
                                     Location end, 
                                     unsigned int &unicode ) {

   if ( !decodeUnicodeEscapeSequence( token, current, end, unicode ) )
      return false;
   if (unicode >= 0xD800 && unicode <= 0xDBFF) {
      // surrogate pairs
      if (end - current < 6)
         return addError( "additional six characters expected to parse unicode surrogate pair.", token, current );
      unsigned int surrogatePair;
      if (*(current++) == '\\' && *(current++)== 'u') {
         if (decodeUnicodeEscapeSequence( token, current, end, surrogatePair )) {
            unicode = 0x10000 + ((unicode & 0x3FF) << 10) + (surrogatePair & 0x3FF);
         } else
            return false;
      } else
         return addError( "expecting another \\u token to begin the second half of a unicode surrogate pair", token, current );
   }
   return true;
}

bool 
Reader::decodeUnicodeEscapeSequence( Token &token, 
                                     Location &current, 
                                     Location end, 
                                     unsigned int &unicode ) {
   if ( end - current < 4 )
      return addError( "Bad unicode escape sequence in string: four digits expected.", token, current );
   unicode = 0;
   for ( int index =0; index < 4; ++index ) {
      Char c = *current++;
      unicode *= 16;
      if ( c >= '0'  &&  c <= '9' )
         unicode += c - '0';
      else if ( c >= 'a'  &&  c <= 'f' )
         unicode += c - 'a' + 10;
      else if ( c >= 'A'  &&  c <= 'F' )
         unicode += c - 'A' + 10;
      else
         return addError( "Bad unicode escape sequence in string: hexadecimal digit expected.", token, current );
   }
   return true;
}


bool 
Reader::addError( const std::string &message, 
                  Token &token,
                  Location extra ) {
   ErrorInfo info;
   info.token_ = token;
   info.message_ = message;
   info.extra_ = extra;
   errors_.push_back( info );
   return false;
}


bool 
Reader::recoverFromError( TokenType skipUntilToken ) {
   int errorCount = int(errors_.size());
   Token skip;
   for (;;) {
      if ( !readToken(skip) )
         errors_.resize( errorCount ); // discard errors caused by recovery
      if ( skip.type_ == skipUntilToken  ||  skip.type_ == tokenEndOfStream )
         break;
   }
   errors_.resize( errorCount );
   return false;
}


bool 
Reader::addErrorAndRecover( const std::string &message, 
                            Token &token,
                            TokenType skipUntilToken ) {
   addError( message, token );
   return recoverFromError( skipUntilToken );
}


Value &
Reader::currentValue() {
   return *(nodes_.top());
}


Reader::Char 
Reader::getNextChar() {
   if ( current_ == end_ )
      return 0;
   return *current_++;
}


void 
Reader::getLocationLineAndColumn( Location location,
                                  int &line,
                                  int &column ) const {
   Location current = begin_;
   Location lastLineStart = current;
   line = 0;
   while ( current < location  &&  current != end_ ) {
      Char c = *current++;
      if ( c == '\r' ) {
         if ( *current == '\n' )
            ++current;
         lastLineStart = current;
         ++line;
      } else if ( c == '\n' ) {
         lastLineStart = current;
         ++line;
      }
   }
   // column & line start at 1
   column = int(location - lastLineStart) + 1;
   ++line;
}


std::string
Reader::getLocationLineAndColumn( Location location ) const {
   int line, column;
   getLocationLineAndColumn( location, line, column );
   char buffer[18+16+16+1];
   sprintf( buffer, "Line %d, Column %d", line, column );
   return buffer;
}


// Deprecated. Preserved for backward compatibility
std::string 
Reader::getFormatedErrorMessages() const {
    return getFormattedErrorMessages();
}


std::string 
Reader::getFormattedErrorMessages() const {
   std::string formattedMessage;
   for ( Errors::const_iterator itError = errors_.begin();
         itError != errors_.end();
         ++itError ) {
      const ErrorInfo &error = *itError;
      formattedMessage += "* " + getLocationLineAndColumn( error.token_.start_ ) + "\n";
      formattedMessage += "  " + error.message_ + "\n";
      if ( error.extra_ )
         formattedMessage += "See " + getLocationLineAndColumn( error.extra_ ) + " for detail.\n";
   }
   return formattedMessage;
}


std::istream& operator>>( std::istream &sin, Value &root ) {
    Json::Reader reader;
    bool ok = reader.parse(sin, root, true);
    //JSON_ASSERT( ok );
    if (!ok) throw std::runtime_error(reader.getFormattedErrorMessages());
    return sin;
}


} // namespace Json

// //////////////////////////////////////////////////////////////////////
// End of content of file: src/lib_json/json_reader.cpp
// //////////////////////////////////////////////////////////////////////






// //////////////////////////////////////////////////////////////////////
// Beginning of content of file: src/lib_json/json_batchallocator.h
// //////////////////////////////////////////////////////////////////////

// Copyright 2007-2010 Baptiste Lepilleur
// Distributed under MIT license, or public domain if desired and
// recognized in your jurisdiction.
// See file LICENSE for detail or copy at http://jsoncpp.sourceforge.net/LICENSE

#ifndef JSONCPP_BATCHALLOCATOR_H_INCLUDED
# define JSONCPP_BATCHALLOCATOR_H_INCLUDED

# include <stdlib.h>
# include <assert.h>

# ifndef JSONCPP_DOC_EXCLUDE_IMPLEMENTATION

namespace Json {

/* Fast memory allocator.
 *
 * This memory allocator allocates memory for a batch of object (specified by
 * the page size, the number of object in each page).
 *
 * It does not allow the destruction of a single object. All the allocated objects
 * can be destroyed at once. The memory can be either released or reused for future
 * allocation.
 * 
 * The in-place new operator must be used to construct the object using the pointer
 * returned by allocate.
 */
template<typename AllocatedType
        ,const unsigned int objectPerAllocation>
class BatchAllocator {
public:
   typedef AllocatedType Type;

   BatchAllocator( unsigned int objectsPerPage = 255 )
      : freeHead_( 0 )
      , objectsPerPage_( objectsPerPage ) {
//      printf( "Size: %d => %s\n", sizeof(AllocatedType), typeid(AllocatedType).name() );
      assert( sizeof(AllocatedType) * objectPerAllocation >= sizeof(AllocatedType *) ); // We must be able to store a slist in the object free space.
      assert( objectsPerPage >= 16 );
      batches_ = allocateBatch( 0 );   // allocated a dummy page
      currentBatch_ = batches_;
   }

   ~BatchAllocator() {
      for ( BatchInfo *batch = batches_; batch;  ) {
         BatchInfo *nextBatch = batch->next_;
         free( batch );
         batch = nextBatch;
      }
   }

   /// allocate space for an array of objectPerAllocation object.
   /// @warning it is the responsability of the caller to call objects constructors.
   AllocatedType *allocate() {
      if ( freeHead_ ) { // returns node from free list.
         AllocatedType *object = freeHead_;
         freeHead_ = *(AllocatedType **)object;
         return object;
      }
      if ( currentBatch_->used_ == currentBatch_->end_ ) {
         currentBatch_ = currentBatch_->next_;
         while ( currentBatch_  &&  currentBatch_->used_ == currentBatch_->end_ )
            currentBatch_ = currentBatch_->next_;

         if ( !currentBatch_  ) { // no free batch found, allocate a new one
            currentBatch_ = allocateBatch( objectsPerPage_ );
            currentBatch_->next_ = batches_; // insert at the head of the list
            batches_ = currentBatch_;
         }
      }
      AllocatedType *allocated = currentBatch_->used_;
      currentBatch_->used_ += objectPerAllocation;
      return allocated;
   }

   /// Release the object.
   /// @warning it is the responsability of the caller to actually destruct the object.
   void release( AllocatedType *object ) {
      assert( object != 0 );
      *(AllocatedType **)object = freeHead_;
      freeHead_ = object;
   }

private:
   struct BatchInfo {
      BatchInfo *next_;
      AllocatedType *used_;
      AllocatedType *end_;
      AllocatedType buffer_[objectPerAllocation];
   };

   // disabled copy constructor and assignement operator.
   BatchAllocator( const BatchAllocator & );
   void operator =( const BatchAllocator &);

   static BatchInfo *allocateBatch( unsigned int objectsPerPage ) {
      const unsigned int mallocSize = sizeof(BatchInfo) - sizeof(AllocatedType)* objectPerAllocation
                                + sizeof(AllocatedType) * objectPerAllocation * objectsPerPage;
      BatchInfo *batch = static_cast<BatchInfo*>( malloc( mallocSize ) );
      batch->next_ = 0;
      batch->used_ = batch->buffer_;
      batch->end_ = batch->buffer_ + objectsPerPage;
      return batch;
   }

   BatchInfo *batches_;
   BatchInfo *currentBatch_;
   /// Head of a single linked list within the allocated space of freeed object
   AllocatedType *freeHead_;
   unsigned int objectsPerPage_;
};


} // namespace Json

# endif // ifndef JSONCPP_DOC_INCLUDE_IMPLEMENTATION

#endif // JSONCPP_BATCHALLOCATOR_H_INCLUDED


// //////////////////////////////////////////////////////////////////////
// End of content of file: src/lib_json/json_batchallocator.h
// //////////////////////////////////////////////////////////////////////






// //////////////////////////////////////////////////////////////////////
// Beginning of content of file: src/lib_json/json_valueiterator.inl
// //////////////////////////////////////////////////////////////////////

// Copyright 2007-2010 Baptiste Lepilleur
// Distributed under MIT license, or public domain if desired and
// recognized in your jurisdiction.
// See file LICENSE for detail or copy at http://jsoncpp.sourceforge.net/LICENSE

// included by json_value.cpp

namespace Json {

// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////
// class ValueIteratorBase
// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////

ValueIteratorBase::ValueIteratorBase()
#ifndef JSON_VALUE_USE_INTERNAL_MAP
   : current_()
   , isNull_( true ) {
}
#else
   : isArray_( true )
   , isNull_( true ) {
   iterator_.array_ = ValueInternalArray::IteratorState();
}
#endif


#ifndef JSON_VALUE_USE_INTERNAL_MAP
ValueIteratorBase::ValueIteratorBase( const Value::ObjectValues::iterator &current )
   : current_( current )
   , isNull_( false ) {
}
#else
ValueIteratorBase::ValueIteratorBase( const ValueInternalArray::IteratorState &state )
   : isArray_( true ) {
   iterator_.array_ = state;
}


ValueIteratorBase::ValueIteratorBase( const ValueInternalMap::IteratorState &state )
   : isArray_( false ) {
   iterator_.map_ = state;
}
#endif

Value &
ValueIteratorBase::deref() const {
#ifndef JSON_VALUE_USE_INTERNAL_MAP
   return current_->second;
#else
   if ( isArray_ )
      return ValueInternalArray::dereference( iterator_.array_ );
   return ValueInternalMap::value( iterator_.map_ );
#endif
}


void 
ValueIteratorBase::increment() {
#ifndef JSON_VALUE_USE_INTERNAL_MAP
   ++current_;
#else
   if ( isArray_ )
      ValueInternalArray::increment( iterator_.array_ );
   ValueInternalMap::increment( iterator_.map_ );
#endif
}


void 
ValueIteratorBase::decrement() {
#ifndef JSON_VALUE_USE_INTERNAL_MAP
   --current_;
#else
   if ( isArray_ )
      ValueInternalArray::decrement( iterator_.array_ );
   ValueInternalMap::decrement( iterator_.map_ );
#endif
}


ValueIteratorBase::difference_type 
ValueIteratorBase::computeDistance( const SelfType &other ) const {
#ifndef JSON_VALUE_USE_INTERNAL_MAP
# ifdef JSON_USE_CPPTL_SMALLMAP
   return current_ - other.current_;
# else
   // Iterator for null value are initialized using the default
   // constructor, which initialize current_ to the default
   // std::map::iterator. As begin() and end() are two instance 
   // of the default std::map::iterator, they can not be compared.
   // To allow this, we handle this comparison specifically.
   if ( isNull_  &&  other.isNull_ ) {
      return 0;
   }


   // Usage of std::distance is not portable (does not compile with Sun Studio 12 RogueWave STL,
   // which is the one used by default).
   // Using a portable hand-made version for non random iterator instead:
   //   return difference_type( std::distance( current_, other.current_ ) );
   difference_type myDistance = 0;
   for ( Value::ObjectValues::iterator it = current_; it != other.current_; ++it ) {
      ++myDistance;
   }
   return myDistance;
# endif
#else
   if ( isArray_ )
      return ValueInternalArray::distance( iterator_.array_, other.iterator_.array_ );
   return ValueInternalMap::distance( iterator_.map_, other.iterator_.map_ );
#endif
}


bool 
ValueIteratorBase::isEqual( const SelfType &other ) const {
#ifndef JSON_VALUE_USE_INTERNAL_MAP
   if ( isNull_ ) {
      return other.isNull_;
   }
   return current_ == other.current_;
#else
   if ( isArray_ )
      return ValueInternalArray::equals( iterator_.array_, other.iterator_.array_ );
   return ValueInternalMap::equals( iterator_.map_, other.iterator_.map_ );
#endif
}


void 
ValueIteratorBase::copy( const SelfType &other ) {
#ifndef JSON_VALUE_USE_INTERNAL_MAP
   current_ = other.current_;
#else
   if ( isArray_ )
      iterator_.array_ = other.iterator_.array_;
   iterator_.map_ = other.iterator_.map_;
#endif
}


Value 
ValueIteratorBase::key() const {
#ifndef JSON_VALUE_USE_INTERNAL_MAP
   const Value::CZString czstring = (*current_).first;
   if ( czstring.c_str() ) {
      if ( czstring.isStaticString() )
         return Value( StaticString( czstring.c_str() ) );
      return Value( czstring.c_str() );
   }
   return Value( czstring.index() );
#else
   if ( isArray_ )
      return Value( ValueInternalArray::indexOf( iterator_.array_ ) );
   bool isStatic;
   const char *memberName = ValueInternalMap::key( iterator_.map_, isStatic );
   if ( isStatic )
      return Value( StaticString( memberName ) );
   return Value( memberName );
#endif
}


UInt 
ValueIteratorBase::index() const {
#ifndef JSON_VALUE_USE_INTERNAL_MAP
   const Value::CZString czstring = (*current_).first;
   if ( !czstring.c_str() )
      return czstring.index();
   return Value::UInt( -1 );
#else
   if ( isArray_ )
      return Value::UInt( ValueInternalArray::indexOf( iterator_.array_ ) );
   return Value::UInt( -1 );
#endif
}


const char *
ValueIteratorBase::memberName() const {
#ifndef JSON_VALUE_USE_INTERNAL_MAP
   const char *name = (*current_).first.c_str();
   return name ? name : "";
#else
   if ( !isArray_ )
      return ValueInternalMap::key( iterator_.map_ );
   return "";
#endif
}


// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////
// class ValueConstIterator
// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////

ValueConstIterator::ValueConstIterator() {
}


#ifndef JSON_VALUE_USE_INTERNAL_MAP
ValueConstIterator::ValueConstIterator( const Value::ObjectValues::iterator &current )
   : ValueIteratorBase( current ) {
}
#else
ValueConstIterator::ValueConstIterator( const ValueInternalArray::IteratorState &state )
   : ValueIteratorBase( state ) {
}

ValueConstIterator::ValueConstIterator( const ValueInternalMap::IteratorState &state )
   : ValueIteratorBase( state ) {
}
#endif

ValueConstIterator &
ValueConstIterator::operator =( const ValueIteratorBase &other ) {
   copy( other );
   return *this;
}


// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////
// class ValueIterator
// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////

ValueIterator::ValueIterator() {
}


#ifndef JSON_VALUE_USE_INTERNAL_MAP
ValueIterator::ValueIterator( const Value::ObjectValues::iterator &current )
   : ValueIteratorBase( current ) {
}
#else
ValueIterator::ValueIterator( const ValueInternalArray::IteratorState &state )
   : ValueIteratorBase( state ) {
}

ValueIterator::ValueIterator( const ValueInternalMap::IteratorState &state )
   : ValueIteratorBase( state ) {
}
#endif

ValueIterator::ValueIterator( const ValueConstIterator &other )
   : ValueIteratorBase( other ) {
}

ValueIterator::ValueIterator( const ValueIterator &other )
   : ValueIteratorBase( other ) {
}

ValueIterator &
ValueIterator::operator =( const SelfType &other ) {
   copy( other );
   return *this;
}

} // namespace Json

// //////////////////////////////////////////////////////////////////////
// End of content of file: src/lib_json/json_valueiterator.inl
// //////////////////////////////////////////////////////////////////////






// //////////////////////////////////////////////////////////////////////
// Beginning of content of file: src/lib_json/json_value.cpp
// //////////////////////////////////////////////////////////////////////

// Copyright 2007-2010 Baptiste Lepilleur
// Distributed under MIT license, or public domain if desired and
// recognized in your jurisdiction.
// See file LICENSE for detail or copy at http://jsoncpp.sourceforge.net/LICENSE

#if !defined(JSON_IS_AMALGAMATION)
# include <json/value.h>
# include <json/writer.h>
# ifndef JSON_USE_SIMPLE_INTERNAL_ALLOCATOR
#  include "json_batchallocator.h"
# endif // #ifndef JSON_USE_SIMPLE_INTERNAL_ALLOCATOR
#endif // if !defined(JSON_IS_AMALGAMATION)
#include <iostream>
#include <utility>
#include <stdexcept>
#include <cstring>
#include <cassert>
#ifdef JSON_USE_CPPTL
# include <cpptl/conststring.h>
#endif
#include <cstddef>    // size_t

#define JSON_ASSERT_UNREACHABLE assert( false )
#define JSON_ASSERT( condition ) assert( condition );  // @todo <= change this into an exception throw
#define JSON_FAIL_MESSAGE( message ) throw std::runtime_error( message );
#define JSON_ASSERT_MESSAGE( condition, message ) if (!( condition )) JSON_FAIL_MESSAGE( message )

namespace Json {

const Value Value::null;
const Int Value::minInt = Int( ~(UInt(-1)/2) );
const Int Value::maxInt = Int( UInt(-1)/2 );
const UInt Value::maxUInt = UInt(-1);
const Int64 Value::minInt64 = Int64( ~(UInt64(-1)/2) );
const Int64 Value::maxInt64 = Int64( UInt64(-1)/2 );
const UInt64 Value::maxUInt64 = UInt64(-1);
const LargestInt Value::minLargestInt = LargestInt( ~(LargestUInt(-1)/2) );
const LargestInt Value::maxLargestInt = LargestInt( LargestUInt(-1)/2 );
const LargestUInt Value::maxLargestUInt = LargestUInt(-1);


/// Unknown size marker
static const unsigned int unknown = (unsigned)-1;


/** Duplicates the specified string value.
 * @param value Pointer to the string to duplicate. Must be zero-terminated if
 *              length is "unknown".
 * @param length Length of the value. if equals to unknown, then it will be
 *               computed using strlen(value).
 * @return Pointer on the duplicate instance of string.
 */
static inline char *
duplicateStringValue( const char *value, 
                      unsigned int length = unknown ) {
   if ( length == unknown )
      length = (unsigned int)strlen(value);
   char *newString = static_cast<char *>( malloc( length + 1 ) );
   JSON_ASSERT_MESSAGE( newString != 0, "Failed to allocate string value buffer" );
   memcpy( newString, value, length );
   newString[length] = 0;
   return newString;
}


/** Free the string duplicated by duplicateStringValue().
 */
static inline void 
releaseStringValue( char *value ) {
   if ( value )
      free( value );
}

} // namespace Json


// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////
// ValueInternals...
// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////
#if !defined(JSON_IS_AMALGAMATION)
# ifdef JSON_VALUE_USE_INTERNAL_MAP
#  include "json_internalarray.inl"
#  include "json_internalmap.inl"
# endif // JSON_VALUE_USE_INTERNAL_MAP

# include "json_valueiterator.inl"
#endif // if !defined(JSON_IS_AMALGAMATION)

namespace Json {

// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////
// class Value::CommentInfo
// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////


Value::CommentInfo::CommentInfo()
   : comment_( 0 ) {
}

Value::CommentInfo::~CommentInfo() {
   if ( comment_ )
      releaseStringValue( comment_ );
}


void 
Value::CommentInfo::setComment( const char *text ) {
   if ( comment_ )
      releaseStringValue( comment_ );
   JSON_ASSERT( text != 0 );
   JSON_ASSERT_MESSAGE( text[0]=='\0' || text[0]=='/', "Comments must start with /");
   // It seems that /**/ style comments are acceptable as well.
   comment_ = duplicateStringValue( text );
}


// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////
// class Value::CZString
// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////
# ifndef JSON_VALUE_USE_INTERNAL_MAP

// Notes: index_ indicates if the string was allocated when
// a string is stored.

Value::CZString::CZString( ArrayIndex index )
   : cstr_( 0 )
   , index_( index ) {
}

Value::CZString::CZString( const char *cstr, DuplicationPolicy allocate )
   : cstr_( allocate == duplicate ? duplicateStringValue(cstr) 
                                  : cstr )
   , index_( allocate ) {
}

Value::CZString::CZString( const CZString &other )
: cstr_( other.index_ != noDuplication &&  other.cstr_ != 0
                ?  duplicateStringValue( other.cstr_ )
                : other.cstr_ )
   , index_( other.cstr_ ? (other.index_ == noDuplication ? noDuplication : duplicate)
                         : other.index_ ) {
}

Value::CZString::~CZString() {
   if ( cstr_  &&  index_ == duplicate )
      releaseStringValue( const_cast<char *>( cstr_ ) );
}

void 
Value::CZString::swap( CZString &other ) {
   std::swap( cstr_, other.cstr_ );
   std::swap( index_, other.index_ );
}

Value::CZString &
Value::CZString::operator =( const CZString &other ) {
   CZString temp( other );
   swap( temp );
   return *this;
}

bool 
Value::CZString::operator<( const CZString &other ) const  {
   if ( cstr_ )
      return strcmp( cstr_, other.cstr_ ) < 0;
   return index_ < other.index_;
}

bool 
Value::CZString::operator==( const CZString &other ) const  {
   if ( cstr_ )
      return strcmp( cstr_, other.cstr_ ) == 0;
   return index_ == other.index_;
}


ArrayIndex 
Value::CZString::index() const {
   return index_;
}


const char *
Value::CZString::c_str() const {
   return cstr_;
}

bool 
Value::CZString::isStaticString() const {
   return index_ == noDuplication;
}

#endif // ifndef JSON_VALUE_USE_INTERNAL_MAP


// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////
// class Value::Value
// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////
// //////////////////////////////////////////////////////////////////

/*! \internal Default constructor initialization must be equivalent to:
 * memset( this, 0, sizeof(Value) )
 * This optimization is used in ValueInternalMap fast allocator.
 */
Value::Value( ValueType type )
   : type_( type )
   , allocated_( 0 )
   , comments_( 0 )
# ifdef JSON_VALUE_USE_INTERNAL_MAP
   , itemIsUsed_( 0 )
#endif
{
   switch ( type ) {
   case nullValue:
      break;
   case intValue:
   case uintValue:
      value_.int_ = 0;
      break;
   case realValue:
      value_.real_ = 0.0;
      break;
   case stringValue:
      value_.string_ = 0;
      break;
#ifndef JSON_VALUE_USE_INTERNAL_MAP
   case arrayValue:
   case objectValue:
      value_.map_ = new ObjectValues();
      break;
#else
   case arrayValue:
      value_.array_ = arrayAllocator()->newArray();
      break;
   case objectValue:
      value_.map_ = mapAllocator()->newMap();
      break;
#endif
   case booleanValue:
      value_.bool_ = false;
      break;
   default:
      JSON_ASSERT_UNREACHABLE;
   }
}


#if defined(JSON_HAS_INT64)
Value::Value( UInt value )
   : type_( uintValue )
   , comments_( 0 )
# ifdef JSON_VALUE_USE_INTERNAL_MAP
   , itemIsUsed_( 0 )
#endif
{
   value_.uint_ = value;
}

Value::Value( Int value )
   : type_( intValue )
   , comments_( 0 )
# ifdef JSON_VALUE_USE_INTERNAL_MAP
   , itemIsUsed_( 0 )
#endif
{
   value_.int_ = value;
}

#endif // if defined(JSON_HAS_INT64)


Value::Value( Int64 value )
   : type_( intValue )
   , comments_( 0 )
# ifdef JSON_VALUE_USE_INTERNAL_MAP
   , itemIsUsed_( 0 )
#endif
{
   value_.int_ = value;
}


Value::Value( UInt64 value )
   : type_( uintValue )
   , comments_( 0 )
# ifdef JSON_VALUE_USE_INTERNAL_MAP
   , itemIsUsed_( 0 )
#endif
{
   value_.uint_ = value;
}

Value::Value( double value )
   : type_( realValue )
   , comments_( 0 )
# ifdef JSON_VALUE_USE_INTERNAL_MAP
   , itemIsUsed_( 0 )
#endif
{
   value_.real_ = value;
}

Value::Value( const char *value )
   : type_( stringValue )
   , allocated_( true )
   , comments_( 0 )
# ifdef JSON_VALUE_USE_INTERNAL_MAP
   , itemIsUsed_( 0 )
#endif
{
   value_.string_ = duplicateStringValue( value );
}


Value::Value( const char *beginValue, 
              const char *endValue )
   : type_( stringValue )
   , allocated_( true )
   , comments_( 0 )
# ifdef JSON_VALUE_USE_INTERNAL_MAP
   , itemIsUsed_( 0 )
#endif
{
   value_.string_ = duplicateStringValue( beginValue, 
                                          (unsigned int)(endValue - beginValue) );
}


Value::Value( const std::string &value )
   : type_( stringValue )
   , allocated_( true )
   , comments_( 0 )
# ifdef JSON_VALUE_USE_INTERNAL_MAP
   , itemIsUsed_( 0 )
#endif 
{
   value_.string_ = duplicateStringValue( value.c_str(), 
                                          (unsigned int)value.length() );

}

Value::Value( const StaticString &value )
   : type_( stringValue )
   , allocated_( false )
   , comments_( 0 )
# ifdef JSON_VALUE_USE_INTERNAL_MAP
   , itemIsUsed_( 0 )
#endif
{
   value_.string_ = const_cast<char *>( value.c_str() );
}


# ifdef JSON_USE_CPPTL
Value::Value( const CppTL::ConstString &value )
   : type_( stringValue )
   , allocated_( true )
   , comments_( 0 )
# ifdef JSON_VALUE_USE_INTERNAL_MAP
   , itemIsUsed_( 0 )
#endif
{
   value_.string_ = duplicateStringValue( value, value.length() );
}
# endif

Value::Value( bool value )
   : type_( booleanValue )
   , comments_( 0 )
# ifdef JSON_VALUE_USE_INTERNAL_MAP
   , itemIsUsed_( 0 )
#endif
{
   value_.bool_ = value;
}


Value::Value( const Value &other )
   : type_( other.type_ )
   , comments_( 0 )
# ifdef JSON_VALUE_USE_INTERNAL_MAP
   , itemIsUsed_( 0 )
#endif
{
   switch ( type_ ) {
   case nullValue:
   case intValue:
   case uintValue:
   case realValue:
   case booleanValue:
      value_ = other.value_;
      break;
   case stringValue:
      if ( other.value_.string_ ) {
         value_.string_ = duplicateStringValue( other.value_.string_ );
         allocated_ = true;
      }
      else
         value_.string_ = 0;
      break;
#ifndef JSON_VALUE_USE_INTERNAL_MAP
   case arrayValue:
   case objectValue:
      value_.map_ = new ObjectValues( *other.value_.map_ );
      break;
#else
   case arrayValue:
      value_.array_ = arrayAllocator()->newArrayCopy( *other.value_.array_ );
      break;
   case objectValue:
      value_.map_ = mapAllocator()->newMapCopy( *other.value_.map_ );
      break;
#endif
   default:
      JSON_ASSERT_UNREACHABLE;
   }
   if ( other.comments_ ) {
      comments_ = new CommentInfo[numberOfCommentPlacement];
      for ( int comment =0; comment < numberOfCommentPlacement; ++comment ) {
         const CommentInfo &otherComment = other.comments_[comment];
         if ( otherComment.comment_ )
            comments_[comment].setComment( otherComment.comment_ );
      }
   }
}


Value::~Value() {
   switch ( type_ ) {
   case nullValue:
   case intValue:
   case uintValue:
   case realValue:
   case booleanValue:
      break;
   case stringValue:
      if ( allocated_ )
         releaseStringValue( value_.string_ );
      break;
#ifndef JSON_VALUE_USE_INTERNAL_MAP
   case arrayValue:
   case objectValue:
      delete value_.map_;
      break;
#else
   case arrayValue:
      arrayAllocator()->destructArray( value_.array_ );
      break;
   case objectValue:
      mapAllocator()->destructMap( value_.map_ );
      break;
#endif
   default:
      JSON_ASSERT_UNREACHABLE;
   }

   if ( comments_ )
      delete[] comments_;
}

Value &
Value::operator=( const Value &other ) {
   Value temp( other );
   swap( temp );
   return *this;
}

void 
Value::swap( Value &other ) {
   ValueType temp = type_;
   type_ = other.type_;
   other.type_ = temp;
   std::swap( value_, other.value_ );
   int temp2 = allocated_;
   allocated_ = other.allocated_;
   other.allocated_ = temp2;
}

ValueType 
Value::type() const {
   return type_;
}


int 
Value::compare( const Value &other ) const {
   if ( *this < other )
      return -1;
   if ( *this > other )
      return 1;
   return 0;
}


bool 
Value::operator <( const Value &other ) const {
   int typeDelta = type_ - other.type_;
   if ( typeDelta )
      return typeDelta < 0 ? true : false;
   switch ( type_ ) {
   case nullValue:
      return false;
   case intValue:
      return value_.int_ < other.value_.int_;
   case uintValue:
      return value_.uint_ < other.value_.uint_;
   case realValue:
      return value_.real_ < other.value_.real_;
   case booleanValue:
      return value_.bool_ < other.value_.bool_;
   case stringValue:
      return ( value_.string_ == 0  &&  other.value_.string_ )
             || ( other.value_.string_  
                  &&  value_.string_  
                  && strcmp( value_.string_, other.value_.string_ ) < 0 );
#ifndef JSON_VALUE_USE_INTERNAL_MAP
   case arrayValue:
   case objectValue: {
         int delta = int( value_.map_->size() - other.value_.map_->size() );
         if ( delta )
            return delta < 0;
         return (*value_.map_) < (*other.value_.map_);
      }
#else
   case arrayValue:
      return value_.array_->compare( *(other.value_.array_) ) < 0;
   case objectValue:
      return value_.map_->compare( *(other.value_.map_) ) < 0;
#endif
   default:
      JSON_ASSERT_UNREACHABLE;
   }
   return false;  // unreachable
}

bool 
Value::operator <=( const Value &other ) const {
   return !(other < *this);
}

bool 
Value::operator >=( const Value &other ) const {
   return !(*this < other);
}

bool 
Value::operator >( const Value &other ) const {
   return other < *this;
}

bool 
Value::operator ==( const Value &other ) const {
   //if ( type_ != other.type_ )
   // GCC 2.95.3 says:
   // attempt to take address of bit-field structure member `Json::Value::type_'
   // Beats me, but a temp solves the problem.
   int temp = other.type_;
   if ( type_ != temp )
      return false;
   switch ( type_ ) {
   case nullValue:
      return true;
   case intValue:
      return value_.int_ == other.value_.int_;
   case uintValue:
      return value_.uint_ == other.value_.uint_;
   case realValue:
      return value_.real_ == other.value_.real_;
   case booleanValue:
      return value_.bool_ == other.value_.bool_;
   case stringValue:
      return ( value_.string_ == other.value_.string_ )
             || ( other.value_.string_  
                  &&  value_.string_  
                  && strcmp( value_.string_, other.value_.string_ ) == 0 );
#ifndef JSON_VALUE_USE_INTERNAL_MAP
   case arrayValue:
   case objectValue:
      return value_.map_->size() == other.value_.map_->size()
             && (*value_.map_) == (*other.value_.map_);
#else
   case arrayValue:
      return value_.array_->compare( *(other.value_.array_) ) == 0;
   case objectValue:
      return value_.map_->compare( *(other.value_.map_) ) == 0;
#endif
   default:
      JSON_ASSERT_UNREACHABLE;
   }
   return false;  // unreachable
}

bool 
Value::operator !=( const Value &other ) const
{
   return !( *this == other );
}

const char *
Value::asCString() const {
   JSON_ASSERT( type_ == stringValue );
   return value_.string_;
}


std::string 
Value::asString() const {
   switch ( type_ ) {
   case nullValue:
      return "";
   case stringValue:
      return value_.string_ ? value_.string_ : "";
   case booleanValue:
      return value_.bool_ ? "true" : "false";
   case intValue:
   case uintValue:
   case realValue:
   case arrayValue:
   case objectValue:
      JSON_FAIL_MESSAGE( "Type is not convertible to string" );
   default:
      JSON_ASSERT_UNREACHABLE;
   }
   return ""; // unreachable
}

# ifdef JSON_USE_CPPTL
CppTL::ConstString 
Value::asConstString() const
{
   return CppTL::ConstString( asString().c_str() );
}
# endif


Value::Int 
Value::asInt() const {
   switch ( type_ )
   {
   case nullValue:
      return 0;
   case intValue:
      JSON_ASSERT_MESSAGE( value_.int_ >= minInt  &&  value_.int_ <= maxInt, "unsigned integer out of signed int range" );
      return Int(value_.int_);
   case uintValue:
      JSON_ASSERT_MESSAGE( value_.uint_ <= UInt(maxInt), "unsigned integer out of signed int range" );
      return Int(value_.uint_);
   case realValue:
      JSON_ASSERT_MESSAGE( value_.real_ >= minInt  &&  value_.real_ <= maxInt, "Real out of signed integer range" );
      return Int( value_.real_ );
   case booleanValue:
      return value_.bool_ ? 1 : 0;
   case stringValue:
   case arrayValue:
   case objectValue:
      JSON_FAIL_MESSAGE( "Type is not convertible to int" );
   default:
      JSON_ASSERT_UNREACHABLE;
   }
   return 0; // unreachable;
}


Value::UInt 
Value::asUInt() const {
   switch ( type_ ) {
   case nullValue:
      return 0;
   case intValue:
      JSON_ASSERT_MESSAGE( value_.int_ >= 0, "Negative integer can not be converted to unsigned integer" );
      JSON_ASSERT_MESSAGE( value_.int_ <= maxUInt, "signed integer out of UInt range" );
      return UInt(value_.int_);
   case uintValue:
      JSON_ASSERT_MESSAGE( value_.uint_ <= maxUInt, "unsigned integer out of UInt range" );
      return UInt(value_.uint_);
   case realValue:
      JSON_ASSERT_MESSAGE( value_.real_ >= 0  &&  value_.real_ <= maxUInt,  "Real out of unsigned integer range" );
      return UInt( value_.real_ );
   case booleanValue:
      return value_.bool_ ? 1 : 0;
   case stringValue:
   case arrayValue:
   case objectValue:
      JSON_FAIL_MESSAGE( "Type is not convertible to uint" );
   default:
      JSON_ASSERT_UNREACHABLE;
   }
   return 0; // unreachable;
}


# if defined(JSON_HAS_INT64)

Value::Int64
Value::asInt64() const {
   switch ( type_ ) {
   case nullValue:
      return 0;
   case intValue:
      return value_.int_;
   case uintValue:
      JSON_ASSERT_MESSAGE( value_.uint_ <= UInt64(maxInt64), "unsigned integer out of Int64 range" );
      return value_.uint_;
   case realValue:
      JSON_ASSERT_MESSAGE( value_.real_ >= minInt64  &&  value_.real_ <= maxInt64, "Real out of Int64 range" );
      return Int( value_.real_ );
   case booleanValue:
      return value_.bool_ ? 1 : 0;
   case stringValue:
   case arrayValue:
   case objectValue:
      JSON_FAIL_MESSAGE( "Type is not convertible to Int64" );
   default:
      JSON_ASSERT_UNREACHABLE;
   }
   return 0; // unreachable;
}


Value::UInt64
Value::asUInt64() const {
   switch ( type_ ) {
   case nullValue:
      return 0;
   case intValue:
      JSON_ASSERT_MESSAGE( value_.int_ >= 0, "Negative integer can not be converted to UInt64" );
      return value_.int_;
   case uintValue:
      return value_.uint_;
   case realValue:
      JSON_ASSERT_MESSAGE( value_.real_ >= 0  &&  value_.real_ <= maxUInt64,  "Real out of UInt64 range" );
      return UInt( value_.real_ );
   case booleanValue:
      return value_.bool_ ? 1 : 0;
   case stringValue:
   case arrayValue:
   case objectValue:
      JSON_FAIL_MESSAGE( "Type is not convertible to UInt64" );
   default:
      JSON_ASSERT_UNREACHABLE;
   }
   return 0; // unreachable;
}
# endif // if defined(JSON_HAS_INT64)


LargestInt 
Value::asLargestInt() const {
#if defined(JSON_NO_INT64)
    return asInt();
#else
    return asInt64();
#endif
}


LargestUInt 
Value::asLargestUInt() const {
#if defined(JSON_NO_INT64)
    return asUInt();
#else
    return asUInt64();
#endif
}


double 
Value::asDouble() const {
   switch ( type_ ) {
   case nullValue:
      return 0.0;
   case intValue:
      return static_cast<double>( value_.int_ );
   case uintValue:
#if !defined(JSON_USE_INT64_DOUBLE_CONVERSION)
      return static_cast<double>( value_.uint_ );
#else // if !defined(JSON_USE_INT64_DOUBLE_CONVERSION)
      return static_cast<double>( Int(value_.uint_/2) ) * 2 + Int(value_.uint_ & 1);
#endif // if !defined(JSON_USE_INT64_DOUBLE_CONVERSION)
   case realValue:
      return value_.real_;
   case booleanValue:
      return value_.bool_ ? 1.0 : 0.0;
   case stringValue:
   case arrayValue:
   case objectValue:
      JSON_FAIL_MESSAGE( "Type is not convertible to double" );
   default:
      JSON_ASSERT_UNREACHABLE;
   }
   return 0; // unreachable;
}

float
Value::asFloat() const {
   switch ( type_ ) {
   case nullValue:
      return 0.0f;
   case intValue:
      return static_cast<float>( value_.int_ );
   case uintValue:
#if !defined(JSON_USE_INT64_DOUBLE_CONVERSION)
      return static_cast<float>( value_.uint_ );
#else // if !defined(JSON_USE_INT64_DOUBLE_CONVERSION)
      return static_cast<float>( Int(value_.uint_/2) ) * 2 + Int(value_.uint_ & 1);
#endif // if !defined(JSON_USE_INT64_DOUBLE_CONVERSION)
   case realValue:
      return static_cast<float>( value_.real_ );
   case booleanValue:
      return value_.bool_ ? 1.0f : 0.0f;
   case stringValue:
   case arrayValue:
   case objectValue:
      JSON_FAIL_MESSAGE( "Type is not convertible to float" );
   default:
      JSON_ASSERT_UNREACHABLE;
   }
   return 0.0f; // unreachable;
}

bool 
Value::asBool() const {
   switch ( type_ ) {
   case nullValue:
      return false;
   case intValue:
   case uintValue:
      return value_.int_ != 0;
   case realValue:
      return value_.real_ != 0.0;
   case booleanValue:
      return value_.bool_;
   case stringValue:
      return value_.string_  &&  value_.string_[0] != 0;
   case arrayValue:
   case objectValue:
      return value_.map_->size() != 0;
   default:
      JSON_ASSERT_UNREACHABLE;
   }
   return false; // unreachable;
}


bool 
Value::isConvertibleTo( ValueType other ) const {
   switch ( type_ ) {
   case nullValue:
      return true;
   case intValue:
      return ( other == nullValue  &&  value_.int_ == 0 )
             || other == intValue
             || ( other == uintValue  && value_.int_ >= 0 )
             || other == realValue
             || other == stringValue
             || other == booleanValue;
   case uintValue:
      return ( other == nullValue  &&  value_.uint_ == 0 )
             || ( other == intValue  && value_.uint_ <= (unsigned)maxInt )
             || other == uintValue
             || other == realValue
             || other == stringValue
             || other == booleanValue;
   case realValue:
      return ( other == nullValue  &&  value_.real_ == 0.0 )
             || ( other == intValue  &&  value_.real_ >= minInt  &&  value_.real_ <= maxInt )
             || ( other == uintValue  &&  value_.real_ >= 0  &&  value_.real_ <= maxUInt )
             || other == realValue
             || other == stringValue
             || other == booleanValue;
   case booleanValue:
      return ( other == nullValue  &&  value_.bool_ == false )
             || other == intValue
             || other == uintValue
             || other == realValue
             || other == stringValue
             || other == booleanValue;
   case stringValue:
      return other == stringValue
             || ( other == nullValue  &&  (!value_.string_  ||  value_.string_[0] == 0) );
   case arrayValue:
      return other == arrayValue
             ||  ( other == nullValue  &&  value_.map_->size() == 0 );
   case objectValue:
      return other == objectValue
             ||  ( other == nullValue  &&  value_.map_->size() == 0 );
   default:
      JSON_ASSERT_UNREACHABLE;
   }
   return false; // unreachable;
}


/// Number of values in array or object
ArrayIndex 
Value::size() const {
   switch ( type_ ) {
   case nullValue:
   case intValue:
   case uintValue:
   case realValue:
   case booleanValue:
   case stringValue:
      return 0;
#ifndef JSON_VALUE_USE_INTERNAL_MAP
   case arrayValue:  // size of the array is highest index + 1
      if ( !value_.map_->empty() ) {
         ObjectValues::const_iterator itLast = value_.map_->end();
         --itLast;
         return (*itLast).first.index()+1;
      }
      return 0;
   case objectValue:
      return ArrayIndex( value_.map_->size() );
#else
   case arrayValue:
      return Int( value_.array_->size() );
   case objectValue:
      return Int( value_.map_->size() );
#endif
   default:
      JSON_ASSERT_UNREACHABLE;
   }
   return 0; // unreachable;
}


bool 
Value::empty() const {
   if ( isNull() || isArray() || isObject() )
      return size() == 0u;
   else
      return false;
}


bool
Value::operator!() const {
   return isNull();
}


void 
Value::clear() {
   JSON_ASSERT( type_ == nullValue  ||  type_ == arrayValue  || type_ == objectValue );

   switch ( type_ )
   {
#ifndef JSON_VALUE_USE_INTERNAL_MAP
   case arrayValue:
   case objectValue:
      value_.map_->clear();
      break;
#else
   case arrayValue:
      value_.array_->clear();
      break;
   case objectValue:
      value_.map_->clear();
      break;
#endif
   default:
      break;
   }
}

void 
Value::resize( ArrayIndex newSize ) {
   JSON_ASSERT( type_ == nullValue  ||  type_ == arrayValue );
   if ( type_ == nullValue )
      *this = Value( arrayValue );
#ifndef JSON_VALUE_USE_INTERNAL_MAP
   ArrayIndex oldSize = size();
   if ( newSize == 0 )
      clear();
   else if ( newSize > oldSize )
      (*this)[ newSize - 1 ];
   else {
      for ( ArrayIndex index = newSize; index < oldSize; ++index )
      {
         value_.map_->erase( index );
      }
      assert( size() == newSize );
   }
#else
   value_.array_->resize( newSize );
#endif
}


Value &
Value::operator[]( ArrayIndex index ) {
   JSON_ASSERT( type_ == nullValue  ||  type_ == arrayValue );
   if ( type_ == nullValue )
      *this = Value( arrayValue );
#ifndef JSON_VALUE_USE_INTERNAL_MAP
   CZString key( index );
   ObjectValues::iterator it = value_.map_->lower_bound( key );
   if ( it != value_.map_->end()  &&  (*it).first == key )
      return (*it).second;

   ObjectValues::value_type defaultValue( key, null );
   it = value_.map_->insert( it, defaultValue );
   return (*it).second;
#else
   return value_.array_->resolveReference( index );
#endif
}


Value &
Value::operator[]( int index ) {
   JSON_ASSERT( index >= 0 );
   return (*this)[ ArrayIndex(index) ];
}


const Value &
Value::operator[]( ArrayIndex index ) const {
   JSON_ASSERT( type_ == nullValue  ||  type_ == arrayValue );
   if ( type_ == nullValue )
      return null;
#ifndef JSON_VALUE_USE_INTERNAL_MAP
   CZString key( index );
   ObjectValues::const_iterator it = value_.map_->find( key );
   if ( it == value_.map_->end() )
      return null;
   return (*it).second;
#else
   Value *value = value_.array_->find( index );
   return value ? *value : null;
#endif
}


const Value &
Value::operator[]( int index ) const {
   JSON_ASSERT( index >= 0 );
   return (*this)[ ArrayIndex(index) ];
}


Value &
Value::operator[]( const char *key ) {
   return resolveReference( key, false );
}


Value &
Value::resolveReference( const char *key, 
                         bool isStatic ) {
   JSON_ASSERT( type_ == nullValue  ||  type_ == objectValue );
   if ( type_ == nullValue )
      *this = Value( objectValue );
#ifndef JSON_VALUE_USE_INTERNAL_MAP
   CZString actualKey( key, isStatic ? CZString::noDuplication 
                                     : CZString::duplicateOnCopy );
   ObjectValues::iterator it = value_.map_->lower_bound( actualKey );
   if ( it != value_.map_->end()  &&  (*it).first == actualKey )
      return (*it).second;

   ObjectValues::value_type defaultValue( actualKey, null );
   it = value_.map_->insert( it, defaultValue );
   Value &value = (*it).second;
   return value;
#else
   return value_.map_->resolveReference( key, isStatic );
#endif
}


Value 
Value::get( ArrayIndex index, 
            const Value &defaultValue ) const {
   const Value *value = &((*this)[index]);
   return value == &null ? defaultValue : *value;
}


bool 
Value::isValidIndex( ArrayIndex index ) const {
   return index < size();
}



const Value &
Value::operator[]( const char *key ) const {
   JSON_ASSERT( type_ == nullValue  ||  type_ == objectValue );
   if ( type_ == nullValue )
      return null;
#ifndef JSON_VALUE_USE_INTERNAL_MAP
   CZString actualKey( key, CZString::noDuplication );
   ObjectValues::const_iterator it = value_.map_->find( actualKey );
   if ( it == value_.map_->end() )
      return null;
   return (*it).second;
#else
   const Value *value = value_.map_->find( key );
   return value ? *value : null;
#endif
}


Value &
Value::operator[]( const std::string &key ) {
   return (*this)[ key.c_str() ];
}


const Value &
Value::operator[]( const std::string &key ) const {
   return (*this)[ key.c_str() ];
}

Value &
Value::operator[]( const StaticString &key ) {
   return resolveReference( key, true );
}


# ifdef JSON_USE_CPPTL
Value &
Value::operator[]( const CppTL::ConstString &key ) {
   return (*this)[ key.c_str() ];
}


const Value &
Value::operator[]( const CppTL::ConstString &key ) const {
   return (*this)[ key.c_str() ];
}
# endif


Value &
Value::append( const Value &value ) {
   return (*this)[size()] = value;
}


Value 
Value::get( const char *key, 
            const Value &defaultValue ) const {
   const Value *value = &((*this)[key]);
   return value == &null ? defaultValue : *value;
}


Value 
Value::get( const std::string &key,
            const Value &defaultValue ) const {
   return get( key.c_str(), defaultValue );
}

Value
Value::removeMember( const char* key ) {
   JSON_ASSERT( type_ == nullValue  ||  type_ == objectValue );
   if ( type_ == nullValue )
      return null;
#ifndef JSON_VALUE_USE_INTERNAL_MAP
   CZString actualKey( key, CZString::noDuplication );
   ObjectValues::iterator it = value_.map_->find( actualKey );
   if ( it == value_.map_->end() )
      return null;
   Value old(it->second);
   value_.map_->erase(it);
   return old;
#else
   Value *value = value_.map_->find( key );
   if (value){
      Value old(*value);
      value_.map_.remove( key );
      return old;
   } else {
      return null;
   }
#endif
}

Value
Value::removeMember( const std::string &key ) {
   return removeMember( key.c_str() );
}

# ifdef JSON_USE_CPPTL
Value 
Value::get( const CppTL::ConstString &key,
            const Value &defaultValue ) const {
   return get( key.c_str(), defaultValue );
}
# endif

bool 
Value::isMember( const char *key ) const {
   const Value *value = &((*this)[key]);
   return value != &null;
}


bool 
Value::isMember( const std::string &key ) const {
   return isMember( key.c_str() );
}


# ifdef JSON_USE_CPPTL
bool 
Value::isMember( const CppTL::ConstString &key ) const {
   return isMember( key.c_str() );
}
#endif

Value::Members 
Value::getMemberNames() const {
   JSON_ASSERT( type_ == nullValue  ||  type_ == objectValue );
   if ( type_ == nullValue )
       return Value::Members();
   Members members;
   members.reserve( value_.map_->size() );
#ifndef JSON_VALUE_USE_INTERNAL_MAP
   ObjectValues::const_iterator it = value_.map_->begin();
   ObjectValues::const_iterator itEnd = value_.map_->end();
   for ( ; it != itEnd; ++it )
      members.push_back( std::string( (*it).first.c_str() ) );
#else
   ValueInternalMap::IteratorState it;
   ValueInternalMap::IteratorState itEnd;
   value_.map_->makeBeginIterator( it );
   value_.map_->makeEndIterator( itEnd );
   for ( ; !ValueInternalMap::equals( it, itEnd ); ValueInternalMap::increment(it) )
      members.push_back( std::string( ValueInternalMap::key( it ) ) );
#endif
   return members;
}
//
//# ifdef JSON_USE_CPPTL
//EnumMemberNames
//Value::enumMemberNames() const
//{
//   if ( type_ == objectValue )
//   {
//      return CppTL::Enum::any(  CppTL::Enum::transform(
//         CppTL::Enum::keys( *(value_.map_), CppTL::Type<const CZString &>() ),
//         MemberNamesTransform() ) );
//   }
//   return EnumMemberNames();
//}
//
//
//EnumValues 
//Value::enumValues() const
//{
//   if ( type_ == objectValue  ||  type_ == arrayValue )
//      return CppTL::Enum::anyValues( *(value_.map_), 
//                                     CppTL::Type<const Value &>() );
//   return EnumValues();
//}
//
//# endif


bool
Value::isNull() const {
   return type_ == nullValue;
}


bool 
Value::isBool() const {
   return type_ == booleanValue;
}


bool 
Value::isInt() const {
   return type_ == intValue;
}


bool 
Value::isUInt() const {
   return type_ == uintValue;
}


bool 
Value::isIntegral() const {
   return type_ == intValue  
          ||  type_ == uintValue  
          ||  type_ == booleanValue;
}


bool 
Value::isDouble() const {
   return type_ == realValue;
}


bool 
Value::isNumeric() const {
   return isIntegral() || isDouble();
}


bool 
Value::isString() const {
   return type_ == stringValue;
}


bool 
Value::isArray() const {
   return type_ == nullValue  ||  type_ == arrayValue;
}


bool 
Value::isObject() const {
   return type_ == nullValue  ||  type_ == objectValue;
}


void 
Value::setComment( const char *comment,
                   CommentPlacement placement ) {
   if ( !comments_ )
      comments_ = new CommentInfo[numberOfCommentPlacement];
   comments_[placement].setComment( comment );
}


void 
Value::setComment( const std::string &comment,
                   CommentPlacement placement ) {
   setComment( comment.c_str(), placement );
}


bool 
Value::hasComment( CommentPlacement placement ) const {
   return comments_ != 0  &&  comments_[placement].comment_ != 0;
}

std::string 
Value::getComment( CommentPlacement placement ) const {
   if ( hasComment(placement) )
      return comments_[placement].comment_;
   return "";
}


std::string 
Value::toStyledString() const {
   StyledWriter writer;
   return writer.write( *this );
}


Value::const_iterator 
Value::begin() const {
   switch ( type_ ) {
#ifdef JSON_VALUE_USE_INTERNAL_MAP
   case arrayValue:
      if ( value_.array_ ) {
         ValueInternalArray::IteratorState it;
         value_.array_->makeBeginIterator( it );
         return const_iterator( it );
      }
      break;
   case objectValue:
      if ( value_.map_ ) {
         ValueInternalMap::IteratorState it;
         value_.map_->makeBeginIterator( it );
         return const_iterator( it );
      }
      break;
#else
   case arrayValue:
   case objectValue:
      if ( value_.map_ )
         return const_iterator( value_.map_->begin() );
      break;
#endif
   default:
      break;
   }
   return const_iterator();
}

Value::const_iterator 
Value::end() const {
   switch ( type_ ) {
#ifdef JSON_VALUE_USE_INTERNAL_MAP
   case arrayValue:
      if ( value_.array_ ) {
         ValueInternalArray::IteratorState it;
         value_.array_->makeEndIterator( it );
         return const_iterator( it );
      }
      break;
   case objectValue:
      if ( value_.map_ ) {
         ValueInternalMap::IteratorState it;
         value_.map_->makeEndIterator( it );
         return const_iterator( it );
      }
      break;
#else
   case arrayValue:
   case objectValue:
      if ( value_.map_ )
         return const_iterator( value_.map_->end() );
      break;
#endif
   default:
      break;
   }
   return const_iterator();
}


Value::iterator 
Value::begin() {
   switch ( type_ ) {
#ifdef JSON_VALUE_USE_INTERNAL_MAP
   case arrayValue:
      if ( value_.array_ ) {
         ValueInternalArray::IteratorState it;
         value_.array_->makeBeginIterator( it );
         return iterator( it );
      }
      break;
   case objectValue:
      if ( value_.map_ ) {
         ValueInternalMap::IteratorState it;
         value_.map_->makeBeginIterator( it );
         return iterator( it );
      }
      break;
#else
   case arrayValue:
   case objectValue:
      if ( value_.map_ )
         return iterator( value_.map_->begin() );
      break;
#endif
   default:
      break;
   }
   return iterator();
}

Value::iterator 
Value::end() {
   switch ( type_ ) {
#ifdef JSON_VALUE_USE_INTERNAL_MAP
   case arrayValue:
      if ( value_.array_ ) {
         ValueInternalArray::IteratorState it;
         value_.array_->makeEndIterator( it );
         return iterator( it );
      }
      break;
   case objectValue:
      if ( value_.map_ ) {
         ValueInternalMap::IteratorState it;
         value_.map_->makeEndIterator( it );
         return iterator( it );
      }
      break;
#else
   case arrayValue:
   case objectValue:
      if ( value_.map_ )
         return iterator( value_.map_->end() );
      break;
#endif
   default:
      break;
   }
   return iterator();
}


// class PathArgument
// //////////////////////////////////////////////////////////////////

PathArgument::PathArgument()
   : kind_( kindNone ) {
}


PathArgument::PathArgument( ArrayIndex index )
   : index_( index )
   , kind_( kindIndex ) {
}


PathArgument::PathArgument( const char *key )
   : key_( key )
   , kind_( kindKey ) {
}


PathArgument::PathArgument( const std::string &key )
   : key_( key.c_str() )
   , kind_( kindKey ) {
}

// class Path
// //////////////////////////////////////////////////////////////////

Path::Path( const std::string &path,
            const PathArgument &a1,
            const PathArgument &a2,
            const PathArgument &a3,
            const PathArgument &a4,
            const PathArgument &a5 ) {
   InArgs in;
   in.push_back( &a1 );
   in.push_back( &a2 );
   in.push_back( &a3 );
   in.push_back( &a4 );
   in.push_back( &a5 );
   makePath( path, in );
}


void 
Path::makePath( const std::string &path,
                const InArgs &in ) {
   const char *current = path.c_str();
   const char *end = current + path.length();
   InArgs::const_iterator itInArg = in.begin();
   while ( current != end ) {
      if ( *current == '[' ) {
         ++current;
         if ( *current == '%' )
            addPathInArg( path, in, itInArg, PathArgument::kindIndex );
         else {
            ArrayIndex index = 0;
            for ( ; current != end && *current >= '0'  &&  *current <= '9'; ++current )
               index = index * 10 + ArrayIndex(*current - '0');
            args_.push_back( index );
         }
         if ( current == end  ||  *current++ != ']' )
            invalidPath( path, int(current - path.c_str()) );
      }
      else if ( *current == '%' ) {
         addPathInArg( path, in, itInArg, PathArgument::kindKey );
         ++current;
      }
      else if ( *current == '.' ) {
         ++current;
      } else {
         const char *beginName = current;
         while ( current != end  &&  !strchr( "[.", *current ) )
            ++current;
         args_.push_back( std::string( beginName, current ) );
      }
   }
}


void 
Path::addPathInArg( const std::string &path, 
                    const InArgs &in, 
                    InArgs::const_iterator &itInArg, 
                    PathArgument::Kind kind ) {
   if ( itInArg == in.end() ) {
      // Error: missing argument %d
   } else if ( (*itInArg)->kind_ != kind ) {
      // Error: bad argument type
   } else {
      args_.push_back( **itInArg );
   }
}


void 
Path::invalidPath( const std::string &path, 
                   int location ) {
   // Error: invalid path.
}


const Value &
Path::resolve( const Value &root ) const {
   const Value *node = &root;
   for ( Args::const_iterator it = args_.begin(); it != args_.end(); ++it ) {
      const PathArgument &arg = *it;
      if ( arg.kind_ == PathArgument::kindIndex ) {
         if ( !node->isArray()  ||  node->isValidIndex( arg.index_ ) ) {
            // Error: unable to resolve path (array value expected at position...
         }
         node = &((*node)[arg.index_]);
      } else if ( arg.kind_ == PathArgument::kindKey ) {
         if ( !node->isObject() ) {
            // Error: unable to resolve path (object value expected at position...)
         }
         node = &((*node)[arg.key_]);
         if ( node == &Value::null ) {
            // Error: unable to resolve path (object has no member named '' at position...)
         }
      }
   }
   return *node;
}


Value 
Path::resolve( const Value &root, 
               const Value &defaultValue ) const {
   const Value *node = &root;
   for ( Args::const_iterator it = args_.begin(); it != args_.end(); ++it ) {
      const PathArgument &arg = *it;
      if ( arg.kind_ == PathArgument::kindIndex ) {
         if ( !node->isArray()  ||  node->isValidIndex( arg.index_ ) )
            return defaultValue;
         node = &((*node)[arg.index_]);
      } else if ( arg.kind_ == PathArgument::kindKey ) {
         if ( !node->isObject() )
            return defaultValue;
         node = &((*node)[arg.key_]);
         if ( node == &Value::null )
            return defaultValue;
      }
   }
   return *node;
}


Value &
Path::make( Value &root ) const {
   Value *node = &root;
   for ( Args::const_iterator it = args_.begin(); it != args_.end(); ++it ) {
      const PathArgument &arg = *it;
      if ( arg.kind_ == PathArgument::kindIndex ) {
         if ( !node->isArray() ) {
            // Error: node is not an array at position ...
         }
         node = &((*node)[arg.index_]);
      } else if ( arg.kind_ == PathArgument::kindKey ) {
         if ( !node->isObject() ) {
            // Error: node is not an object at position...
         }
         node = &((*node)[arg.key_]);
      }
   }
   return *node;
}


} // namespace Json

// //////////////////////////////////////////////////////////////////////
// End of content of file: src/lib_json/json_value.cpp
// //////////////////////////////////////////////////////////////////////






// //////////////////////////////////////////////////////////////////////
// Beginning of content of file: src/lib_json/json_writer.cpp
// //////////////////////////////////////////////////////////////////////

// Copyright 2007-2010 Baptiste Lepilleur
// Distributed under MIT license, or public domain if desired and
// recognized in your jurisdiction.
// See file LICENSE for detail or copy at http://jsoncpp.sourceforge.net/LICENSE

#if !defined(JSON_IS_AMALGAMATION)
# include <json/writer.h>
# include "json_tool.h"
#endif // if !defined(JSON_IS_AMALGAMATION)
#include <utility>
#include <assert.h>
#include <stdio.h>
#include <string.h>
#include <iostream>
#include <sstream>
#include <iomanip>

#if _MSC_VER >= 1400 // VC++ 8.0
#pragma warning( disable : 4996 )   // disable warning about strdup being deprecated.
#endif

namespace Json {

static bool containsControlCharacter( const char* str ) {
   while ( *str ) {
      if ( isControlCharacter( *(str++) ) )
         return true;
   }
   return false;
}


std::string valueToString( LargestInt value ) {
   UIntToStringBuffer buffer;
   char *current = buffer + sizeof(buffer);
   bool isNegative = value < 0;
   if ( isNegative )
      value = -value;
   uintToString( LargestUInt(value), current );
   if ( isNegative )
      *--current = '-';
   assert( current >= buffer );
   return current;
}


std::string valueToString( LargestUInt value ) {
   UIntToStringBuffer buffer;
   char *current = buffer + sizeof(buffer);
   uintToString( value, current );
   assert( current >= buffer );
   return current;
}

#if defined(JSON_HAS_INT64)

std::string valueToString( Int value )
{
   return valueToString( LargestInt(value) );
}


std::string valueToString( UInt value ) {
   return valueToString( LargestUInt(value) );
}

#endif // # if defined(JSON_HAS_INT64)


std::string valueToString( double value ) {
   char buffer[32];
#if defined(_MSC_VER) && defined(__STDC_SECURE_LIB__) // Use secure version with visual studio 2005 to avoid warning. 
   sprintf_s(buffer, sizeof(buffer), "%#.16g", value); 
#else   
   sprintf(buffer, "%#.16g", value); 
#endif
   char* ch = buffer + strlen(buffer) - 1;
   if (*ch != '0') return buffer; // nothing to truncate, so save time
   while(ch > buffer && *ch == '0'){
     --ch;
   }
   char* last_nonzero = ch;
   while(ch >= buffer){
     switch(*ch){
     case '0':
     case '1':
     case '2':
     case '3':
     case '4':
     case '5':
     case '6':
     case '7':
     case '8':
     case '9':
       --ch;
       continue;
     case '.':
       // Truncate zeroes to save bytes in output, but keep one.
       *(last_nonzero+2) = '\0';
       return buffer;
     default:
       return buffer;
     }
   }
   return buffer;
}


std::string valueToString( bool value ) {
   return value ? "true" : "false";
}

std::string valueToQuotedString( const char *value ) {
   // Not sure how to handle unicode...
   if (strpbrk(value, "\"\\\b\f\n\r\t") == NULL && !containsControlCharacter( value ))
      return std::string("\"") + value + "\"";
   // We have to walk value and escape any special characters.
   // Appending to std::string is not efficient, but this should be rare.
   // (Note: forward slashes are *not* rare, but I am not escaping them.)
   std::string::size_type maxsize = strlen(value)*2 + 3; // allescaped+quotes+NULL
   std::string result;
   result.reserve(maxsize); // to avoid lots of mallocs
   result += "\"";
   for (const char* c=value; *c != 0; ++c) {
      switch(*c) {
         case '\"':
            result += "\\\"";
            break;
         case '\\':
            result += "\\\\";
            break;
         case '\b':
            result += "\\b";
            break;
         case '\f':
            result += "\\f";
            break;
         case '\n':
            result += "\\n";
            break;
         case '\r':
            result += "\\r";
            break;
         case '\t':
            result += "\\t";
            break;
         //case '/':
            // Even though \/ is considered a legal escape in JSON, a bare
            // slash is also legal, so I see no reason to escape it.
            // (I hope I am not misunderstanding something.
            // blep notes: actually escaping \/ may be useful in javascript to avoid </ 
            // sequence.
            // Should add a flag to allow this compatibility mode and prevent this 
            // sequence from occurring.
         default:
            if ( isControlCharacter( *c ) ) {
               std::ostringstream oss;
               oss << "\\u" << std::hex << std::uppercase << std::setfill('0') << std::setw(4) << static_cast<int>(*c);
               result += oss.str();
            } else {
               result += *c;
            }
            break;
      }
   }
   result += "\"";
   return result;
}

// Class Writer
// //////////////////////////////////////////////////////////////////
Writer::~Writer() {
}


// Class FastWriter
// //////////////////////////////////////////////////////////////////

FastWriter::FastWriter()
   : yamlCompatiblityEnabled_( false ) {
}


void 
FastWriter::enableYAMLCompatibility() {
   yamlCompatiblityEnabled_ = true;
}


std::string 
FastWriter::write( const Value &root ) {
   document_ = "";
   writeValue( root );
   document_ += "\n";
   return document_;
}


void 
FastWriter::writeValue( const Value &value ) {
   switch ( value.type() ) {
   case nullValue:
      document_ += "null";
      break;
   case intValue:
      document_ += valueToString( value.asLargestInt() );
      break;
   case uintValue:
      document_ += valueToString( value.asLargestUInt() );
      break;
   case realValue:
      document_ += valueToString( value.asDouble() );
      break;
   case stringValue:
      document_ += valueToQuotedString( value.asCString() );
      break;
   case booleanValue:
      document_ += valueToString( value.asBool() );
      break;
   case arrayValue: {
         document_ += "[";
         int size = value.size();
         for ( int index =0; index < size; ++index ) {
            if ( index > 0 )
               document_ += ",";
            writeValue( value[index] );
         }
         document_ += "]";
      }
      break;
   case objectValue: {
         Value::Members members( value.getMemberNames() );
         document_ += "{";
         for ( Value::Members::iterator it = members.begin(); 
               it != members.end(); 
               ++it ) {
            const std::string &name = *it;
            if ( it != members.begin() )
               document_ += ",";
            document_ += valueToQuotedString( name.c_str() );
            document_ += yamlCompatiblityEnabled_ ? ": " 
                                                  : ":";
            writeValue( value[name] );
         }
         document_ += "}";
      }
      break;
   }
}


// Class StyledWriter
// //////////////////////////////////////////////////////////////////

StyledWriter::StyledWriter()
   : rightMargin_( 74 )
   , indentSize_( 3 ) {
}


std::string 
StyledWriter::write( const Value &root ) {
   document_ = "";
   addChildValues_ = false;
   indentString_ = "";
   writeCommentBeforeValue( root );
   writeValue( root );
   writeCommentAfterValueOnSameLine( root );
   document_ += "\n";
   return document_;
}


void 
StyledWriter::writeValue( const Value &value ) {
   switch ( value.type() ) {
   case nullValue:
      pushValue( "null" );
      break;
   case intValue:
      pushValue( valueToString( value.asLargestInt() ) );
      break;
   case uintValue:
      pushValue( valueToString( value.asLargestUInt() ) );
      break;
   case realValue:
      pushValue( valueToString( value.asDouble() ) );
      break;
   case stringValue:
      pushValue( valueToQuotedString( value.asCString() ) );
      break;
   case booleanValue:
      pushValue( valueToString( value.asBool() ) );
      break;
   case arrayValue:
      writeArrayValue( value);
      break;
   case objectValue:
      {
         Value::Members members( value.getMemberNames() );
         if ( members.empty() )
            pushValue( "{}" );
         else {
            writeWithIndent( "{" );
            indent();
            Value::Members::iterator it = members.begin();
            for (;;) {
               const std::string &name = *it;
               const Value &childValue = value[name];
               writeCommentBeforeValue( childValue );
               writeWithIndent( valueToQuotedString( name.c_str() ) );
               document_ += " : ";
               writeValue( childValue );
               if ( ++it == members.end() ) {
                  writeCommentAfterValueOnSameLine( childValue );
                  break;
               }
               document_ += ",";
               writeCommentAfterValueOnSameLine( childValue );
            }
            unindent();
            writeWithIndent( "}" );
         }
      }
      break;
   }
}


void 
StyledWriter::writeArrayValue( const Value &value ) {
   unsigned size = value.size();
   if ( size == 0 )
      pushValue( "[]" );
   else {
      bool isArrayMultiLine = isMultineArray( value );
      if ( isArrayMultiLine ) {
         writeWithIndent( "[" );
         indent();
         bool hasChildValue = !childValues_.empty();
         unsigned index =0;
         for (;;) {
            const Value &childValue = value[index];
            writeCommentBeforeValue( childValue );
            if ( hasChildValue )
               writeWithIndent( childValues_[index] );
            else {
               writeIndent();
               writeValue( childValue );
            }
            if ( ++index == size ) {
               writeCommentAfterValueOnSameLine( childValue );
               break;
            }
            document_ += ",";
            writeCommentAfterValueOnSameLine( childValue );
         }
         unindent();
         writeWithIndent( "]" );
      } else { // output on a single line
         assert( childValues_.size() == size );
         document_ += "[ ";
         for ( unsigned index =0; index < size; ++index ) {
            if ( index > 0 )
               document_ += ", ";
            document_ += childValues_[index];
         }
         document_ += " ]";
      }
   }
}


bool 
StyledWriter::isMultineArray( const Value &value ) {
   int size = value.size();
   bool isMultiLine = size*3 >= rightMargin_ ;
   childValues_.clear();
   for ( int index =0; index < size  &&  !isMultiLine; ++index ) {
      const Value &childValue = value[index];
      isMultiLine = isMultiLine  ||
                     ( (childValue.isArray()  ||  childValue.isObject())  &&  
                        childValue.size() > 0 );
   }
   if ( !isMultiLine ) { // check if line length > max line length
      childValues_.reserve( size );
      addChildValues_ = true;
      int lineLength = 4 + (size-1)*2; // '[ ' + ', '*n + ' ]'
      for ( int index =0; index < size  &&  !isMultiLine; ++index ) {
         writeValue( value[index] );
         lineLength += int( childValues_[index].length() );
         isMultiLine = isMultiLine  &&  hasCommentForValue( value[index] );
      }
      addChildValues_ = false;
      isMultiLine = isMultiLine  ||  lineLength >= rightMargin_;
   }
   return isMultiLine;
}


void 
StyledWriter::pushValue( const std::string &value ) {
   if ( addChildValues_ )
      childValues_.push_back( value );
   else
      document_ += value;
}


void 
StyledWriter::writeIndent() {
   if ( !document_.empty() )
   {
      char last = document_[document_.length()-1];
      if ( last == ' ' )     // already indented
         return;
      if ( last != '\n' )    // Comments may add new-line
         document_ += '\n';
   }
   document_ += indentString_;
}


void 
StyledWriter::writeWithIndent( const std::string &value ) {
   writeIndent();
   document_ += value;
}


void 
StyledWriter::indent() {
   indentString_ += std::string( indentSize_, ' ' );
}


void 
StyledWriter::unindent() {
   assert( int(indentString_.size()) >= indentSize_ );
   indentString_.resize( indentString_.size() - indentSize_ );
}


void 
StyledWriter::writeCommentBeforeValue( const Value &root ) {
   if ( !root.hasComment( commentBefore ) )
      return;
   document_ += normalizeEOL( root.getComment( commentBefore ) );
   document_ += "\n";
}


void 
StyledWriter::writeCommentAfterValueOnSameLine( const Value &root ) {
   if ( root.hasComment( commentAfterOnSameLine ) )
      document_ += " " + normalizeEOL( root.getComment( commentAfterOnSameLine ) );

   if ( root.hasComment( commentAfter ) ) {
      document_ += "\n";
      document_ += normalizeEOL( root.getComment( commentAfter ) );
      document_ += "\n";
   }
}


bool 
StyledWriter::hasCommentForValue( const Value &value ) {
   return value.hasComment( commentBefore )
          ||  value.hasComment( commentAfterOnSameLine )
          ||  value.hasComment( commentAfter );
}


std::string 
StyledWriter::normalizeEOL( const std::string &text ) {
   std::string normalized;
   normalized.reserve( text.length() );
   const char *begin = text.c_str();
   const char *end = begin + text.length();
   const char *current = begin;
   while ( current != end ) {
      char c = *current++;
      if ( c == '\r' ) { // mac or dos EOL
         if ( *current == '\n' ) // convert dos EOL
            ++current;
         normalized += '\n';
      } else // handle unix EOL & other char
         normalized += c;
   }
   return normalized;
}


// Class StyledStreamWriter
// //////////////////////////////////////////////////////////////////

StyledStreamWriter::StyledStreamWriter( std::string indentation )
   : document_(NULL)
   , rightMargin_( 74 )
   , indentation_( indentation ) {
}


void
StyledStreamWriter::write( std::ostream &out, const Value &root ) {
   document_ = &out;
   addChildValues_ = false;
   indentString_ = "";
   writeCommentBeforeValue( root );
   writeValue( root );
   writeCommentAfterValueOnSameLine( root );
   *document_ << "\n";
   document_ = NULL; // Forget the stream, for safety.
}


void 
StyledStreamWriter::writeValue( const Value &value ) {
   switch ( value.type() ) {
   case nullValue:
      pushValue( "null" );
      break;
   case intValue:
      pushValue( valueToString( value.asLargestInt() ) );
      break;
   case uintValue:
      pushValue( valueToString( value.asLargestUInt() ) );
      break;
   case realValue:
      pushValue( valueToString( value.asDouble() ) );
      break;
   case stringValue:
      pushValue( valueToQuotedString( value.asCString() ) );
      break;
   case booleanValue:
      pushValue( valueToString( value.asBool() ) );
      break;
   case arrayValue:
      writeArrayValue( value);
      break;
   case objectValue: {
         Value::Members members( value.getMemberNames() );
         if ( members.empty() )
            pushValue( "{}" );
         else {
            writeWithIndent( "{" );
            indent();
            Value::Members::iterator it = members.begin();
            for (;;) {
               const std::string &name = *it;
               const Value &childValue = value[name];
               writeCommentBeforeValue( childValue );
               writeWithIndent( valueToQuotedString( name.c_str() ) );
               *document_ << " : ";
               writeValue( childValue );
               if ( ++it == members.end() ) {
                  writeCommentAfterValueOnSameLine( childValue );
                  break;
               }
               *document_ << ",";
               writeCommentAfterValueOnSameLine( childValue );
            }
            unindent();
            writeWithIndent( "}" );
         }
      }
      break;
   }
}


void 
StyledStreamWriter::writeArrayValue( const Value &value ) {
   unsigned size = value.size();
   if ( size == 0 )
      pushValue( "[]" );
   else {
      bool isArrayMultiLine = isMultineArray( value );
      if ( isArrayMultiLine ) {
         writeWithIndent( "[" );
         indent();
         bool hasChildValue = !childValues_.empty();
         unsigned index =0;
         for (;;) {
            const Value &childValue = value[index];
            writeCommentBeforeValue( childValue );
            if ( hasChildValue )
               writeWithIndent( childValues_[index] );
            else {
               writeIndent();
               writeValue( childValue );
            }
            if ( ++index == size ) {
               writeCommentAfterValueOnSameLine( childValue );
               break;
            }
            *document_ << ",";
            writeCommentAfterValueOnSameLine( childValue );
         }
         unindent();
         writeWithIndent( "]" );
      }
      else { // output on a single line
         assert( childValues_.size() == size );
         *document_ << "[ ";
         for ( unsigned index =0; index < size; ++index ) {
            if ( index > 0 )
               *document_ << ", ";
            *document_ << childValues_[index];
         }
         *document_ << " ]";
      }
   }
}


bool 
StyledStreamWriter::isMultineArray( const Value &value ) {
   int size = value.size();
   bool isMultiLine = size*3 >= rightMargin_ ;
   childValues_.clear();
   for ( int index =0; index < size  &&  !isMultiLine; ++index ) {
      const Value &childValue = value[index];
      isMultiLine = isMultiLine  ||
                     ( (childValue.isArray()  ||  childValue.isObject())  &&  
                        childValue.size() > 0 );
   }
   if ( !isMultiLine ) { // check if line length > max line length
      childValues_.reserve( size );
      addChildValues_ = true;
      int lineLength = 4 + (size-1)*2; // '[ ' + ', '*n + ' ]'
      for ( int index =0; index < size  &&  !isMultiLine; ++index ) {
         writeValue( value[index] );
         lineLength += int( childValues_[index].length() );
         isMultiLine = isMultiLine  &&  hasCommentForValue( value[index] );
      }
      addChildValues_ = false;
      isMultiLine = isMultiLine  ||  lineLength >= rightMargin_;
   }
   return isMultiLine;
}


void 
StyledStreamWriter::pushValue( const std::string &value ) {
   if ( addChildValues_ )
      childValues_.push_back( value );
   else
      *document_ << value;
}


void 
StyledStreamWriter::writeIndent() {
  /*
    Some comments in this method would have been nice. ;-)

   if ( !document_.empty() )
   {
      char last = document_[document_.length()-1];
      if ( last == ' ' )     // already indented
         return;
      if ( last != '\n' )    // Comments may add new-line
         *document_ << '\n';
   }
  */
   *document_ << '\n' << indentString_;
}


void 
StyledStreamWriter::writeWithIndent( const std::string &value ) {
   writeIndent();
   *document_ << value;
}


void 
StyledStreamWriter::indent() {
   indentString_ += indentation_;
}


void 
StyledStreamWriter::unindent() {
   assert( indentString_.size() >= indentation_.size() );
   indentString_.resize( indentString_.size() - indentation_.size() );
}


void 
StyledStreamWriter::writeCommentBeforeValue( const Value &root ) {
   if ( !root.hasComment( commentBefore ) )
      return;
   *document_ << normalizeEOL( root.getComment( commentBefore ) );
   *document_ << "\n";
}


void 
StyledStreamWriter::writeCommentAfterValueOnSameLine( const Value &root ) {
   if ( root.hasComment( commentAfterOnSameLine ) )
      *document_ << " " + normalizeEOL( root.getComment( commentAfterOnSameLine ) );

   if ( root.hasComment( commentAfter ) ) {
      *document_ << "\n";
      *document_ << normalizeEOL( root.getComment( commentAfter ) );
      *document_ << "\n";
   }
}


bool 
StyledStreamWriter::hasCommentForValue( const Value &value ) {
   return value.hasComment( commentBefore )
          ||  value.hasComment( commentAfterOnSameLine )
          ||  value.hasComment( commentAfter );
}


std::string 
StyledStreamWriter::normalizeEOL( const std::string &text ) {
   std::string normalized;
   normalized.reserve( text.length() );
   const char *begin = text.c_str();
   const char *end = begin + text.length();
   const char *current = begin;
   while ( current != end ) {
      char c = *current++;
      if ( c == '\r' ) { // mac or dos EOL
         if ( *current == '\n' ) // convert dos EOL
            ++current;
         normalized += '\n';
      } else // handle unix EOL & other char
         normalized += c;
   }
   return normalized;
}


std::ostream& operator<<( std::ostream &sout, const Value &root ) {
   Json::StyledStreamWriter writer;
   writer.write(sout, root);
   return sout;
}


} // namespace Json

// //////////////////////////////////////////////////////////////////////
// End of content of file: src/lib_json/json_writer.cpp
// //////////////////////////////////////////////////////////////////////





//
// end of src/jsoncpp.cpp
//


//
// start of src/jsoncustomwriter.cpp
//
/**********************************************************************
Copyright (c) 2013 by Matt Swain <m.swain@me.com>

The MIT License

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE.

***********************************************************************/

#ifndef PYNE_IS_AMALGAMATED
  #include "json.h"
  #include "jsoncustomwriter.h"
#endif

namespace Json {

CustomWriter::CustomWriter( std::string opencurly,
                            std::string closecurly,
                            std::string opensquare,
                            std::string closesquare,
                            std::string colon,
                            std::string comma,
                            std::string indent,
                            int maxWidth)
   : opencurly_( opencurly )
   , closecurly_( closecurly )
   , opensquare_( opensquare )
   , closesquare_( closesquare )
   , colon_( colon )
   , comma_( comma )
   , indent_( indent )
   , maxWidth_( maxWidth )
{
}


std::string 
CustomWriter::write( const Value &root )
{
   document_ = "";
   indentString_ = "";
   writeValue( root, document_, false );
   document_ += "\n";
   return document_;
}


void 
CustomWriter::writeValue( const Value &value, std::string &doc, bool forceSingleLine )
{
   switch ( value.type() )
   {
   case nullValue:
      doc += "null";
      break;
   case intValue:
      doc += valueToString( value.asLargestInt() );
      break;
   case uintValue:
      doc += valueToString( value.asLargestUInt() );
      break;
   case realValue:
      doc += valueToString( value.asDouble() );
      break;
   case stringValue:
      doc += valueToQuotedString( value.asCString() );
      break;
   case booleanValue:
      doc += valueToString( value.asBool() );
      break;
   case arrayValue:
      {
         bool isMulti = false;
         if (!forceSingleLine)
         {
            std::string valLine = "";
            writeValue( value, valLine, true);
            if (valLine.length() > maxWidth_)
            {
               isMulti = true;
            }
            else
            {
               doc += valLine;
               break;
            }
         }
         doc += opensquare_;
         if (isMulti)
            indent();
         for ( int index =0; index < value.size(); ++index )
         {
            if (isMulti)
            {
               doc += "\n";
               doc += indentString_;
            }
            writeValue( value[index], doc, false );
            if ( index < value.size()-1 )
               doc += comma_;
         }
         if (isMulti)
         {
            unindent();
            doc += "\n";
            doc += indentString_;
         }
         doc += closesquare_;
      }
      break;
   case objectValue:
      {
         bool isMulti = false;
         if (!forceSingleLine)
         {
            std::string valLine = "";
            writeValue( value, valLine, true);
            if (valLine.length() > maxWidth_)
            {
               isMulti = true;
            }
            else
            {
               doc += valLine;
               break;
            }
         }
         Value::Members members( value.getMemberNames() );
         doc += opencurly_;
         if (isMulti)
            indent();
         for ( Value::Members::iterator it = members.begin(); 
               it != members.end(); 
               ++it )
         {
            if (isMulti)
            {
               doc += "\n";
               doc += indentString_;
               
            }
            const std::string &name = *it;
            doc += valueToQuotedString( name.c_str() );
            doc += colon_;
            writeValue( value[name], doc, forceSingleLine );
            if ( !(it + 1 == members.end()) )
               doc += comma_;
         }
         if (isMulti)
         {
            unindent();
            doc += "\n";
            doc += indentString_;
         }
         doc += closecurly_;
      }
      break;
   }
}


void 
CustomWriter::indent()
{
   indentString_ += indent_;
}


void 
CustomWriter::unindent()
{
   int idSize = int(indent_.size());
   int idsSize = int(indentString_.size());
   if (idsSize >= idSize)
      indentString_.resize (idsSize - idSize);
}

}
//
// end of src/jsoncustomwriter.cpp
//


//
// start of src/material.cpp
//
// Material.cpp
// The very central Material class
// -- Anthony Scopatz

#include <string>
#include <vector>
#include <iomanip>  // std::setprecision
#include <math.h>   // modf
#include <stdexcept>

#ifndef PYNE_IS_AMALGAMATED
#include "material.h"
#endif

// h5wrap template
template double h5wrap::get_array_index(hid_t, int, hid_t);



/***************************/
/*** Protected Functions ***/
/***************************/

double pyne::Material::get_comp_sum() {
  // Sums the weights in the composition dictionary
  double sum = 0.0;
  for (pyne::comp_iter i = comp.begin(); i != comp.end(); i++) {
    sum = sum + i->second;
  }
  return sum;
}



void pyne::Material::norm_comp() {
  double sum = get_comp_sum();
  if (sum != 1.0 && sum != 0.0) {
    for (comp_iter i = comp.begin(); i != comp.end(); i++)
      i->second = i->second / sum;
  }

  if (mass < 0.0)
    mass = sum;
}






void pyne::Material::_load_comp_protocol0(hid_t db, std::string datapath, int row) {
  hid_t matgroup = H5Gopen2(db, datapath.c_str(), H5P_DEFAULT);
  hid_t nucset;
  double nucvalue;
  ssize_t nuckeylen;
  std::string nuckey;

  // get the number of members in the material group
  H5G_info_t group_info;
  H5Gget_info(matgroup, &group_info);
  hsize_t matG = group_info.nlinks;

  // Iterate over datasets in the group.
  for (int matg = 0; matg < matG; matg++) {
    nuckeylen = 1 + H5Lget_name_by_idx(matgroup, ".", H5_INDEX_NAME, H5_ITER_INC, matg,
                                        NULL, 0, H5P_DEFAULT);
    char * nkey = new char[nuckeylen];
    nuckeylen = H5Lget_name_by_idx(matgroup, ".", H5_INDEX_NAME, H5_ITER_INC, matg,
                                    nkey, nuckeylen, H5P_DEFAULT);
    nuckey = nkey;
    nucset = H5Dopen2(matgroup, nkey, H5P_DEFAULT);
    nucvalue = h5wrap::get_array_index<double>(nucset, row);

    if (nuckey == "Mass" || nuckey == "MASS" || nuckey == "mass")
      mass = nucvalue;
    else
      comp[pyne::nucname::id(nuckey)] = nucvalue;

    H5Dclose(nucset);
    delete[] nkey;
  }

  // Set meta data
  atoms_per_molecule = -1.0;
}



void pyne::Material::_load_comp_protocol1(hid_t db, std::string datapath, int row) {
  std::string nucpath;
  hid_t data_set = H5Dopen2(db, datapath.c_str(), H5P_DEFAULT);

  hsize_t data_offset[1] = {static_cast<hsize_t>(row)};
  if (row < 0) {
    // Handle negative row indices
    hid_t data_space = H5Dget_space(data_set);
    hsize_t data_dims[1];
    H5Sget_simple_extent_dims(data_space, data_dims, NULL);
    data_offset[0] += data_dims[0];
  }

  // Grab the nucpath
  hid_t nuc_attr = H5Aopen(data_set, "nucpath", H5P_DEFAULT);
  H5A_info_t nuc_info;
  H5Aget_info(nuc_attr, &nuc_info);
  hsize_t nuc_attr_len = nuc_info.data_size;
  hid_t str_attr = H5Tcopy(H5T_C_S1);
  H5Tset_size(str_attr, nuc_attr_len);
  char * nucpathbuf = new char [nuc_attr_len];
  H5Aread(nuc_attr, str_attr, nucpathbuf);
  nucpath = std::string(nucpathbuf, nuc_attr_len);
  delete[] nucpathbuf;

  // Grab the nuclides
  std::vector<int> nuclides = h5wrap::h5_array_to_cpp_vector_1d<int>(db, nucpath, H5T_NATIVE_INT);
  int nuc_size = nuclides.size();
  hsize_t nuc_dims[1] = {static_cast<hsize_t>(nuc_size)};

  // Get the data hyperslab
  hid_t data_hyperslab = H5Dget_space(data_set);
  hsize_t data_count[1] = {1};
  H5Sselect_hyperslab(data_hyperslab, H5S_SELECT_SET, data_offset, NULL, data_count, NULL);

  // Get memory space for writing
  hid_t mem_space = H5Screate_simple(1, data_count, NULL);

  // Get material type
  size_t material_data_size = sizeof(pyne::material_data) + sizeof(double)*(nuc_size-1);
  hid_t desc = H5Tcreate(H5T_COMPOUND, material_data_size);
  hid_t comp_values_array_type = H5Tarray_create2(H5T_NATIVE_DOUBLE, 1, nuc_dims);

  // make the data table type
  H5Tinsert(desc, "mass", HOFFSET(pyne::material_data, mass), H5T_NATIVE_DOUBLE);
  H5Tinsert(desc, "density", HOFFSET(pyne::material_data, density),
            H5T_NATIVE_DOUBLE);
  H5Tinsert(desc, "atoms_per_molecule", HOFFSET(pyne::material_data, atoms_per_mol),
            H5T_NATIVE_DOUBLE);
  H5Tinsert(desc, "comp", HOFFSET(pyne::material_data, comp), comp_values_array_type);

  // make the data array, have to over-allocate
  material_data * mat_data = new material_data [material_data_size];

  // Finally, get data and put in on this instance
  H5Dread(data_set, desc, mem_space, data_hyperslab, H5P_DEFAULT, mat_data);

  mass = (*mat_data).mass;
  density = (*mat_data).density;
  atoms_per_molecule = (*mat_data).atoms_per_mol;
  for (int i = 0; i < nuc_size; i++)
    comp[nuclides[i]] = (double) (*mat_data).comp[i];

  delete[] mat_data;
  H5Tclose(str_attr);

  //
  // Get metadata from associated dataset, if available
  //
  std::string attrpath = datapath + "_metadata";
  bool attrpath_exists = h5wrap::path_exists(db, attrpath);
  if (!attrpath_exists)
    return;

  hid_t metadatapace, attrtype, metadataet, metadatalab, attrmemspace;
  int attrrank;
  hvl_t attrdata [1];

  attrtype = H5Tvlen_create(H5T_NATIVE_CHAR);

  // Get the metadata from the file
  metadataet = H5Dopen2(db, attrpath.c_str(), H5P_DEFAULT);
  metadatalab = H5Dget_space(metadataet);
  H5Sselect_hyperslab(metadatalab, H5S_SELECT_SET, data_offset, NULL, data_count, NULL);
  attrmemspace = H5Screate_simple(1, data_count, NULL);
  H5Dread(metadataet, attrtype, attrmemspace, metadatalab, H5P_DEFAULT, attrdata);

  // convert to in-memory JSON
  Json::Reader reader;
  reader.parse((char *) attrdata[0].p, (char *) attrdata[0].p+attrdata[0].len, metadata, false);

  // close attr data objects
  H5Fflush(db, H5F_SCOPE_GLOBAL);
  H5Dclose(metadataet);
  H5Sclose(metadatapace);
  H5Tclose(attrtype);

  // Close out the HDF5 file
  H5Fclose(db);
}





void pyne::Material::from_hdf5(char * filename, char * datapath, int row, int protocol) {
  std::string fname (filename);
  std::string dpath (datapath);
  from_hdf5(fname, dpath, row, protocol);
}



void pyne::Material::from_hdf5(std::string filename, std::string datapath, int row, int protocol) {
  // Turn off annoying HDF5 errors
  herr_t status;
  H5Eset_auto2(H5E_DEFAULT, NULL, NULL);

  // Check that the file is there
  if (!pyne::file_exists(filename))
    throw pyne::FileNotFound(filename);

  // Check to see if the file is in HDF5 format.
  bool ish5 = H5Fis_hdf5(filename.c_str());
  if (!ish5)
    throw h5wrap::FileNotHDF5(filename);

  //Set file access properties so it closes cleanly
  hid_t fapl;
  fapl = H5Pcreate(H5P_FILE_ACCESS);
  H5Pset_fclose_degree(fapl,H5F_CLOSE_STRONG);
  // Open the database
  hid_t db = H5Fopen(filename.c_str(), H5F_ACC_RDONLY, fapl);

  bool datapath_exists = h5wrap::path_exists(db, datapath);
  if (!datapath_exists)
    throw h5wrap::PathNotFound(filename, datapath);

  // Clear current content
  comp.clear();

  // Load via various protocols
  if (protocol == 0)
    _load_comp_protocol0(db, datapath, row);
  else if (protocol == 1)
    _load_comp_protocol1(db, datapath, row);
  else
    throw pyne::MaterialProtocolError();

  // Close the database
  status = H5Fclose(db);

  // Renormalize the composition, just to be safe.
  norm_comp();
}





void pyne::Material::write_hdf5(char * filename, char * datapath, char * nucpath, float row, int chunksize) {
  std::string fname (filename);
  std::string groupname (datapath);
  std::string nuclist (nucpath);
  write_hdf5(fname, groupname, nuclist, row, chunksize);
}



void pyne::Material::write_hdf5(std::string filename, std::string datapath,
                                std::string nucpath, float row, int chunksize) {
  int row_num = (int) row;

  // Turn off annoying HDF5 errors
  H5Eset_auto2(H5E_DEFAULT, NULL, NULL);

  //Set file access properties so it closes cleanly
  hid_t fapl;
  fapl = H5Pcreate(H5P_FILE_ACCESS);
  H5Pset_fclose_degree(fapl,H5F_CLOSE_STRONG);
  // Create new/open datafile.
  hid_t db;
  if (pyne::file_exists(filename)) {
    bool ish5 = H5Fis_hdf5(filename.c_str());
    if (!ish5)
      throw h5wrap::FileNotHDF5(filename);
    db = H5Fopen(filename.c_str(), H5F_ACC_RDWR, fapl);
  }
  else
    db = H5Fcreate(filename.c_str(), H5F_ACC_TRUNC, H5P_DEFAULT, fapl);

  //
  // Read in nuclist if available, write it out if not
  //
  bool nucpath_exists = h5wrap::path_exists(db, nucpath);
  std::vector<int> nuclides;
  int nuc_size;
  hsize_t nuc_dims[1];

  if (nucpath_exists) {
    nuclides = h5wrap::h5_array_to_cpp_vector_1d<int>(db, nucpath, H5T_NATIVE_INT);
    nuc_size = nuclides.size();
    nuc_dims[0] = nuc_size;
  } else {
    nuclides = std::vector<int>();
    for (pyne::comp_iter i = comp.begin(); i != comp.end(); i++)
      nuclides.push_back(i->first);
    nuc_size = nuclides.size();

    // Create the data if it doesn't exist
    int nuc_data [nuc_size];
    for (int n = 0; n != nuc_size; n++)
      nuc_data[n] = nuclides[n];
    nuc_dims[0] = nuc_size;
    hid_t nuc_space = H5Screate_simple(1, nuc_dims, NULL);
    hid_t nuc_set = H5Dcreate2(db, nucpath.c_str(), H5T_NATIVE_INT, nuc_space,
                               H5P_DEFAULT, H5P_DEFAULT, H5P_DEFAULT);
    H5Dwrite(nuc_set, H5T_NATIVE_INT, H5S_ALL, H5S_ALL, H5P_DEFAULT, nuc_data);
    H5Fflush(db, H5F_SCOPE_GLOBAL);
  }


  //
  // Write out the data itself to the file
  //
  hid_t data_set, data_space, data_hyperslab;
  int data_rank = 1;
  hsize_t data_dims[1] = {1};
  hsize_t data_max_dims[1] = {H5S_UNLIMITED};
  hsize_t data_offset[1] = {0};

  size_t material_data_size = sizeof(pyne::material_data) + sizeof(double)*(nuc_size-1);
  hid_t desc = H5Tcreate(H5T_COMPOUND, material_data_size);
  hid_t comp_values_array_type = H5Tarray_create2(H5T_NATIVE_DOUBLE, 1, nuc_dims);

  // make the data table type
  H5Tinsert(desc, "mass", HOFFSET(pyne::material_data, mass), H5T_NATIVE_DOUBLE);
  H5Tinsert(desc, "density", HOFFSET(pyne::material_data, density),
            H5T_NATIVE_DOUBLE);
  H5Tinsert(desc, "atoms_per_molecule", HOFFSET(pyne::material_data, atoms_per_mol),
            H5T_NATIVE_DOUBLE);
  H5Tinsert(desc, "comp", HOFFSET(pyne::material_data, comp),
            comp_values_array_type);

  material_data * mat_data  = new material_data[material_data_size];
  (*mat_data).mass = mass;
  (*mat_data).density = density;
  (*mat_data).atoms_per_mol = atoms_per_molecule;
  for (int n = 0; n != nuc_size; n++) {
    if (0 < comp.count(nuclides[n]))
      (*mat_data).comp[n] = comp[nuclides[n]];
    else
      (*mat_data).comp[n] = 0.0;
  }

  // get / make the data set
  bool datapath_exists = h5wrap::path_exists(db, datapath);
  if (datapath_exists) {
    data_set = H5Dopen2(db, datapath.c_str(), H5P_DEFAULT);
    data_space = H5Dget_space(data_set);
    data_rank = H5Sget_simple_extent_dims(data_space, data_dims, data_max_dims);

    // Determine the row size.
    if (std::signbit(row))
      row_num = data_dims[0] + row;  // careful, row is negative

    if (data_dims[0] <= row_num) {
      // row == -0, extend to data set so that we can append, or
      // row_num is larger than current dimension, resize to accomodate.
      data_dims[0] = row_num + 1;
      H5Dset_extent(data_set, data_dims);
    }

    data_offset[0] = row_num;
  } else {
    // Get full space
    data_space = H5Screate_simple(1, data_dims, data_max_dims);

    // Make data set properties to enable chunking
    hid_t data_set_params = H5Pcreate(H5P_DATASET_CREATE);
    hsize_t chunk_dims[1] = {static_cast<hsize_t>(chunksize)};
    H5Pset_chunk(data_set_params, 1, chunk_dims);
    H5Pset_deflate(data_set_params, 1);

    // Create the data set
    data_set = H5Dcreate2(db, datapath.c_str(), desc, data_space, H5P_DEFAULT,
                            data_set_params, H5P_DEFAULT);
    H5Dset_extent(data_set, data_dims);

    // Add attribute pointing to nuc path
    hid_t nuc_attr_type = H5Tcopy(H5T_C_S1);
    H5Tset_size(nuc_attr_type, nucpath.length());
    hid_t nuc_attr_space = H5Screate(H5S_SCALAR);
    hid_t nuc_attr = H5Acreate2(data_set, "nucpath", nuc_attr_type, nuc_attr_space,
                                H5P_DEFAULT, H5P_DEFAULT);
    H5Awrite(nuc_attr, nuc_attr_type, nucpath.c_str());
    H5Fflush(db, H5F_SCOPE_GLOBAL);
  }

  // Get the data hyperslab
  data_hyperslab = H5Dget_space(data_set);
  hsize_t data_count[1] = {1};
  H5Sselect_hyperslab(data_hyperslab, H5S_SELECT_SET, data_offset, NULL, data_count, NULL);

  // Get a memory space for writing
  hid_t mem_space = H5Screate_simple(1, data_count, data_max_dims);

  // Write the row...
  H5Dwrite(data_set, desc, mem_space, data_hyperslab, H5P_DEFAULT, mat_data);

  // Close out the Dataset
  H5Fflush(db, H5F_SCOPE_GLOBAL);
  H5Dclose(data_set);
  H5Sclose(data_space);
  H5Tclose(desc);

  //
  // Write out the metadata to the file
  //
  std::string attrpath = datapath + "_metadata";
  hid_t metadatapace, attrtype, metadataet, metadatalab, attrmemspace;
  int attrrank;

  attrtype = H5Tvlen_create(H5T_NATIVE_CHAR);

  // get / make the data set
  bool attrpath_exists = h5wrap::path_exists(db, attrpath);
  if (attrpath_exists) {
    metadataet = H5Dopen2(db, attrpath.c_str(), H5P_DEFAULT);
    metadatapace = H5Dget_space(metadataet);
    attrrank = H5Sget_simple_extent_dims(metadatapace, data_dims, data_max_dims);

    if (data_dims[0] <= row_num) {
      // row == -0, extend to data set so that we can append, or
      // row_num is larger than current dimension, resize to accomodate.
      data_dims[0] = row_num + 1;
      H5Dset_extent(metadataet, data_dims);
    }

    data_offset[0] = row_num;
  } else {
    hid_t metadataetparams;
    hsize_t attrchunkdims [1];

    // Make data set properties to enable chunking
    metadataetparams = H5Pcreate(H5P_DATASET_CREATE);
    attrchunkdims[0] = chunksize;
    H5Pset_chunk(metadataetparams, 1, attrchunkdims);
    H5Pset_deflate(metadataetparams, 1);

    hvl_t attrfillvalue [1];
    attrfillvalue[0].len = 3;
    attrfillvalue[0].p = (char *) "{}\n";
    H5Pset_fill_value(metadataetparams, attrtype, &attrfillvalue);

    // make dataset
    metadatapace = H5Screate_simple(1, data_dims, data_max_dims);
    metadataet = H5Dcreate2(db, attrpath.c_str(), attrtype, metadatapace,
                         H5P_DEFAULT, metadataetparams, H5P_DEFAULT);
    H5Dset_extent(metadataet, data_dims);
    H5Pclose(metadataetparams);
  }

  // set the attr string
  hvl_t attrdata [1];
  Json::FastWriter writer;
  std::string metadatatr = writer.write(metadata);
  attrdata[0].p = (char *) metadatatr.c_str();
  attrdata[0].len = metadatatr.length();

  // write the attr
  metadatalab = H5Dget_space(metadataet);
  H5Sselect_hyperslab(metadatalab, H5S_SELECT_SET, data_offset, NULL, data_count, NULL);
  attrmemspace = H5Screate_simple(1, data_count, data_max_dims);
  H5Dwrite(metadataet, attrtype, attrmemspace, metadatalab, H5P_DEFAULT, attrdata);

  // close attr data objects
  H5Fflush(db, H5F_SCOPE_GLOBAL);
  H5Dclose(metadataet);
  H5Sclose(metadatapace);
  H5Tclose(attrtype);

  // Close out the HDF5 file
  H5Fclose(db);
  // Remember the milk!
  // ...by which I mean to deallocate
  delete[] mat_data;
}

std::string pyne::Material::mcnp(std::string frac_type) {
  //////////////////// Begin card creation ///////////////////////
  std::ostringstream oss;
  // 'name'
  if (metadata.isMember("name")) {
    oss << "C name: " << metadata["name"].asString() << std::endl;
  }
  // 'density'
  if (density != -1.0) {
     std::stringstream ds;
     ds << std::setprecision(1) << std::fixed << "C density = " << density << std::endl;
     oss << ds.str();
  }
  // 'source'
  if (metadata.isMember("source")) {
     oss << "C source: " << metadata["source"].asString() << std::endl;
  }
  // Metadata comments
  if (metadata.isMember("comments")) {
    std::string comment_string = "comments: " + metadata["comments"].asString();
    // Include as is if short enough
    if (comment_string.length() <= 77) {
      oss << "C " << comment_string << std::endl;
    }
    else { // otherwise create a remainder string and iterate/update it
      oss << "C " << comment_string.substr(0,77) << std::endl;
      std::string remainder_string = comment_string.substr(77);
      while (remainder_string.length() > 77) {
        oss << "C " << remainder_string.substr(0,77) << std::endl;
        remainder_string.erase(0,77);
      }
      if (remainder_string.length() > 0) {
        oss << "C " << remainder_string << std::endl;
      }
    }
  }

  // Metadata mat_num
  oss << "m";
  if (metadata.isMember("mat_number")) {
    int mat_num = metadata["mat_number"].asInt();
    oss << mat_num << std::endl;
  } else {
    oss << "?" << std::endl;
  }

  // Set up atom or mass frac map
  std::map<int, double> fracs;
  std::string frac_sign;

  if ("atom" == frac_type) {
    fracs = to_atom_frac();
    frac_sign = "";
  } else {
    fracs = comp;
    frac_sign = "-";
  }

  // iterate through frac map
  // This is an awkward pre-C++11 way to put an int to a string
  std::stringstream ss;
  std::string nucmcnp;
  std::string table_item;
  for(pyne::comp_iter i = fracs.begin(); i != fracs.end(); ++i) {
    if (i->second > 0.0) {
      // Clear first
      ss.str(std::string());
      ss.str("");
      ss << pyne::nucname::mcnp(i->first);
      nucmcnp = ss.str();

      int mcnp_id;
      mcnp_id = pyne::nucname::mcnp(i->first);
      // Spaces are important for tests
      table_item = metadata["table_ids"][nucmcnp].asString();
      if (!table_item.empty()) {
        oss << "     " << mcnp_id << "." << table_item << " ";
      } else {
        oss << "     " << mcnp_id << " ";
      }
      // The int needs a little formatting
      std::stringstream fs;
      fs << std::setprecision(4) << std::scientific << frac_sign << i->second \
         << std::endl;
      oss << fs.str();
    }
  }

  return oss.str();
}

///---------------------------------------------------------------------------//
/// Create a set out of the static string array.
std::set<std::string> fluka_builtin(pyne::fluka_mat_strings,
                                    pyne::fluka_mat_strings+pyne::FLUKA_MAT_NUM);

///---------------------------------------------------------------------------//
/// not_fluka_builtin
///---------------------------------------------------------------------------//
/// Convenience function
/// This is written as a negative because that is what we care about
bool pyne::Material::not_fluka_builtin(std::string fluka_name) {
  return (fluka_builtin.find(fluka_name) == fluka_builtin.end());
}

///---------------------------------------------------------------------------//
/// fluka
///---------------------------------------------------------------------------//
/// Main external call
std::string pyne::Material::fluka(int id, std::string frac_type) {
  std::stringstream rs;

  // Element, one nucid
  if (comp.size() == 1) {
    rs << fluka_material_str(id);
  } else if (comp.size() > 1) {
  // Compound
    rs << fluka_compound_str(id, frac_type);
  } else {
    rs << "There is no nuclide information in the Material Object" << std::endl;
  }
  return rs.str();
}

///---------------------------------------------------------------------------//
/// fluka_material_str
///---------------------------------------------------------------------------//
///
/// Requirement:  the material upon which this function is called has
///               exactly one nucid component, i.e. it is elemental
/// Do not assume fluka_name is defined in the metadata.  This function
/// may be called from a user-defined material, i.e. on that is not
/// read out of a UW^2-tagged geometry file, and thus does not have
/// certain metadata.
std::string pyne::Material::fluka_material_str(int id) {
  std::stringstream ms;
  std::string fluka_name; // needed to determine if built-in

  int nucid = comp.begin()->first;

  // NOTE:  first part of 'if' may never be called
  if (metadata.isMember("fluka_name")) {
    fluka_name = metadata["fluka_name"].asString();
  } else {  // Should be elemental
    if (comp.size() > 1 ) {
      std::cerr << "Error: this mix is a compound, there should be a fluka_name defined."
                << std::endl;
      return ms.str();
    }
    fluka_name = nucname::fluka(nucid);
  }

  if (not_fluka_builtin(fluka_name)) {
    ms << fluka_material_component(id, nucid, fluka_name);
  }

  // could be empty
  return ms.str();
}

///---------------------------------------------------------------------------//
/// fluka_material_component
///---------------------------------------------------------------------------//
/// Material has only one component,
/// Density is either object density or it is ignored ==> use object density
/// This function is not called for a compound, but it is called on the
/// material-ized components of compounds
std::string pyne::Material::fluka_material_component(int fid, int nucid,
                                               std::string fluka_name) {
  int znum = pyne::nucname::znum(nucid);

  double atomic_mass;
  if (0 != pyne::NUC_DATA_PATH.length()) {
    // for compounds (i.e., unrecognized nucids), this will be 0
    atomic_mass = pyne::atomic_mass(nucid);
  } else {
    atomic_mass = 1.0;
  }

  return fluka_material_line(znum, atomic_mass, fid, fluka_name);
}

///---------------------------------------------------------------------------//
/// fluka_material_line
///---------------------------------------------------------------------------//
/// Given all the info, return the Material string
std::string pyne::Material::fluka_material_line(int znum, double atomic_mass,
                                          int fid, std::string fluka_name) {
  std::stringstream ls;

  if (metadata.isMember("comments") ) {
     std::string comment = metadata["comments"].asString();
     ls << "* " << comment;
     ls << std::endl;
  }
  ls << std::setw(10) << std::left << "MATERIAL";
  ls << std::setprecision(0) << std::fixed << std::showpoint <<
        std::setw(10) << std::right << (float)znum;

  ls << fluka_format_field(atomic_mass);
  // Note this is the current object density, and may or may not be meaningful
  ls << fluka_format_field(std::sqrt(density*density));

  ls << std::setprecision(0) << std::fixed << std::showpoint <<
        std::setw(10) << std::right << (float)fid;
  ls << std::setw(10) << std::right << "";
  ls << std::setw(10) << std::right << "";
  ls << std::setw(10) << std::left << fluka_name << std::endl;

  return ls.str();
}

///---------------------------------------------------------------------------//
/// fluka_format_field
///---------------------------------------------------------------------------//
/// Convenience function that returns a 10-character formatted string
/// 999 -> 999.
/// 999.12 -> 999.12
/// 999.123 -> 999.123
/// 999.1234 -> 999.123
std::string pyne::Material::fluka_format_field(float field) {
  std::stringstream ls;
  double intpart;
  modf (field, &intpart);
  if (field == intpart) {
    ls << std::setprecision(0) << std::fixed << std::showpoint
       << std::setw(10) << std::right << field;
  } else {
  // This will print however many digits after the decimal, up to a max of six
    ls.unsetf(std::ios::showpoint);
    ls.unsetf(std::ios::floatfield);
    ls.precision(6);
    ls << std::setw(10) << std::right << field;
  }

  return ls.str();
}

///---------------------------------------------------------------------------//
/// fluka_compound_str
///---------------------------------------------------------------------------//
/// Returns
/// -- MATERIAL line for compound
/// -- COMPOUND lines
std::string pyne::Material::fluka_compound_str(int id, std::string frac_type) {
  std::stringstream ss;
  std::map<double, std::string> frac_name_map;
  std::string compound_string = "";
  std::vector<std::string> material_names;

  // The nucid doesn't make sense for a compound
  int znum = 1;
  double atomic_mass = 1.;
  // This better be true
  std::string compound_name;
  if (metadata.isMember("fluka_name")) {
    compound_name = metadata["fluka_name"].asString();
  } else {
    std::cerr << "Error:  metadata \"fluka_name\" expected." << std::endl;
    compound_name = "NotFound";
  }
  ss << fluka_material_line(znum, atomic_mass, id, compound_name);

  std::string frac_sign;
  if ("atom" == frac_type) {
    frac_sign = "";
  } else {
    frac_sign = "-";
  }

  std::stringstream temp_s;
  temp_s << std::scientific;
  temp_s << std::setprecision(3);

  int counter = comp.size();
  pyne::comp_iter nuc = comp.begin();
  // This will pick up multiples of 3 components
  while (counter >= 3) {
    ss << std::setw(10) << std::left  << "COMPOUND";

    temp_s << frac_sign << nuc->second;

    ss << std::setw(10) << std::right << temp_s.str();
    ss << std::setw(10) << std::right << nucname::fluka(nuc->first);
    nuc++;
    temp_s.str("");  // reset the stringstream for reuse

    temp_s << frac_sign << nuc->second;
    ss << std::setw(10) << std::right << temp_s.str();
    ss << std::setw(10) << std::right << nucname::fluka(nuc->first);
    nuc++;
    temp_s.str("");

    temp_s << frac_sign << nuc->second;
    ss << std::setw(10) << std::right << temp_s.str();
    ss << std::setw(10) << std::right << nucname::fluka(nuc->first);
    nuc++;
    temp_s.str("");

    ss << std::setw(10) << std::left << compound_name;
    ss << std::endl;

    counter -= 3;
  }

  // Get the last (or only, as the case may be) one or two fractions
  if (nuc != comp.end()) {
    ss << std::setw(10) << std::left  << "COMPOUND";
    temp_s << frac_sign << nuc->second;
    ss << std::setw(10) << std::right << temp_s.str();
    ss << std::setw(10) << std::right << nucname::fluka(nuc->first);
    nuc++;
    temp_s.str("");

    if  (nuc != comp.end()) {
      temp_s << frac_sign << nuc->second;
      ss << std::setw(10) << std::right << temp_s.str();
      ss << std::setw(10) << std::right << nucname::fluka(nuc->first);
      nuc++;
      temp_s.str("");
    } else {
      ss << std::setw(10) << std::right << "";
      ss << std::setw(10) << std::right << "";
    }

    ss << std::setw(10) << std::right << "";
    ss << std::setw(10) << std::right << "";
    ss << std::setw(10) << std::left << compound_name;
    ss << std::endl;
    }

  return ss.str();
}

void pyne::Material::from_text(char * filename) {
  std::string fname (filename);
  from_text(fname);
}


void pyne::Material::from_text(std::string filename) {
  // Check that the file is there
  if (!pyne::file_exists(filename))
    throw pyne::FileNotFound(filename);

  // New filestream
  std::ifstream f;
  f.open(filename.c_str());

  // Read in
  comp.clear();
  std::string keystr, valstr;

  f >> keystr;
  while ( !f.eof() ) {

    if (0 == keystr.length())
      continue;

    if (keystr == "Mass"){
      f >> valstr;
      mass = pyne::to_dbl(valstr);
    } else if (keystr == "Density") {
      f >> valstr;
      density = pyne::to_dbl(valstr);
    } else if (keystr == "APerM") {
      f >> valstr;
      atoms_per_molecule = pyne::to_dbl(valstr);
    } else if (pyne::nucname::isnuclide(keystr) ||
               pyne::nucname::iselement(keystr)) {
      f >> valstr;
      if (comp.count(pyne::nucname::id(keystr))>0) {
        comp[pyne::nucname::id(keystr)] += pyne::to_dbl(valstr);
      } else {
        comp[pyne::nucname::id(keystr)] = pyne::to_dbl(valstr);
      }
    } else {
      getline(f, valstr);
      valstr= valstr.substr(0, valstr.length()-1);
      metadata[keystr]= valstr;

    }
    f >> keystr;
   }

   f.close();
   norm_comp();
}



void pyne::Material::write_text(char * filename) {
  std::string fname (filename);
  write_text(fname);
}


void pyne::Material::write_text(std::string filename) {
  std::ofstream f;
  f.open(filename.c_str(), std::ios_base::trunc);

  Json::Reader reader;
  std::vector<std::string> obj = metadata.getMemberNames();

  if (0 <= mass)
    f << "Mass    " << mass << "\n";

  if (0 <= density)
    f << "Density "  << density << "\n";

  if (0 <= atoms_per_molecule)
    f << "APerM   " << atoms_per_molecule << "\n";

  for (int i=0; i < metadata.size(); i=i+2){
    f <<metadata.get(obj.at(i), "") << metadata.get(obj.at(i+1), "");
  }

  std::string nuc_name;
  for(pyne::comp_iter i = comp.begin(); i != comp.end(); i++) {
    nuc_name = pyne::nucname::name( i->first ) + "  ";
    while (nuc_name.length() < 8)
      nuc_name += " ";
    f << nuc_name << i->second << "\n";
  }

  f.close();
}


void pyne::Material::load_json(Json::Value json) {
  Json::Value::Members keys = json["comp"].getMemberNames();
  Json::Value::Members::const_iterator ikey = keys.begin();
  Json::Value::Members::const_iterator ikey_end = keys.end();
  comp.clear();
  for (; ikey != ikey_end; ++ikey)
    comp[nucname::id(*ikey)] = json["comp"][*ikey].asDouble();
  norm_comp();
  mass = json["mass"].asDouble();
  density = json["density"].asDouble();
  atoms_per_molecule = json["atoms_per_molecule"].asDouble();
  metadata = json["metadata"];
}


Json::Value pyne::Material::dump_json() {
  Json::Value json = Json::Value(Json::objectValue);
  Json::Value jcomp = Json::Value(Json::objectValue);
  json["mass"] = mass;
  json["density"] = density;
  json["atoms_per_molecule"] = atoms_per_molecule;
  json["metadata"] = metadata;
  for(comp_iter i = comp.begin(); i != comp.end(); i++)
    jcomp[nucname::name(i->first)] = (i->second);
  json["comp"] = jcomp;
  return json;
}


void pyne::Material::from_json(char * filename) {
  std::string fname (filename);
  from_json(fname);
}

void pyne::Material::from_json(std::string filename) {
  if (!pyne::file_exists(filename))
    throw pyne::FileNotFound(filename);
  std::string s;
  std::ifstream f (filename.c_str(), std::ios::in | std::ios::binary);
  f.seekg(0, std::ios::end);
  s.resize(f.tellg());
  f.seekg(0, std::ios::beg);
  f.read(&s[0], s.size());
  f.close();
  Json::Reader reader;
  Json::Value json;
  reader.parse(s, json);
  load_json(json);
}


void pyne::Material::write_json(char * filename) {
  std::string fname (filename);
  write_json(fname);
}

void pyne::Material::write_json(std::string filename) {
  Json::Value json = dump_json();
  Json::StyledWriter writer;
  std::string s = writer.write(json);
  std::ofstream f;
  f.open(filename.c_str(), std::ios_base::trunc);
  f << s << "\n";
  f.close();
}


/************************/
/*** Public Functions ***/
/************************/

/*--- Constructors ---*/

pyne::Material::Material() {
  // Empty Material constructor
  mass = -1.0;
  density = -1.0;
  atoms_per_molecule = -1.0;
  metadata = Json::Value(Json::objectValue);
}


pyne::Material::Material(pyne::comp_map cm, double m, double d, double apm,
                         Json::Value attributes) {
  // Initializes the mass stream based on an isotopic component dictionary.
  comp = cm;
  mass = m;
  density=d;
  atoms_per_molecule = apm;
  metadata = attributes;
  if (!comp.empty())
    norm_comp();
}



pyne::Material::Material(char * filename, double m, double d, double apm,
                         Json::Value attributes) {
  mass = m;
  density=d;
  atoms_per_molecule = apm;
  metadata = attributes;

  // Check that the file is there
  std::string fname (filename);
  if (!pyne::file_exists(fname))
    throw pyne::FileNotFound(fname);

  // Check to see if the file is in HDF5 format.
  bool ish5 = H5Fis_hdf5(fname.c_str());
  if (ish5)
    from_hdf5(fname);
  else
    from_text(fname);
}


pyne::Material::Material(std::string filename, double m, double d, double apm,
                         Json::Value attributes) {
  // Initializes the mass stream based on an isotopic composition file with a string name.
  mass = m;
  density=d;
  atoms_per_molecule = apm;
  metadata = attributes;

  // Check that the file is there
  if (!pyne::file_exists(filename))
    throw pyne::FileNotFound(filename);

  // Check to see if the file is in HDF5 format.
  bool ish5 = H5Fis_hdf5(filename.c_str());
  if (ish5)
    from_hdf5(filename);
  else
    from_text(filename);
}


pyne::Material::~Material() {
}



/*--- Method definitions ---*/


std::ostream& operator<<(std::ostream& os, pyne::Material mat) {
  //print the Mass Stream to stdout
  os << "\tMass: " << mat.mass << "\n";
  os << "\t---------\n";
  for(pyne::comp_iter i = mat.comp.begin(); i != mat.comp.end(); i++)
  {
    os << "\t" << pyne::nucname::name( i->first ) << "\t" << i->second << "\n";
  }
  return os;
}

// Note this refines << for an inheritor of std::ostream.
std::ostringstream& operator<<(std::ostringstream& os, pyne::Material mat) {
  return os;
}

void pyne::Material::normalize () {
  // normalizes the mass
  mass = 1.0;
}


pyne::comp_map pyne::Material::mult_by_mass() {
  // bypass calculation if already normalized.
  if (mass == 1.0)
    return comp;

  pyne::comp_map cm;
  for (pyne::comp_iter i = comp.begin(); i != comp.end(); i++) {
    cm[i->first] = (i->second) * mass;
  }
  return cm;
}



pyne::comp_map pyne::Material::activity() {
  pyne::comp_map act;
  double masspermole = mass * pyne::N_A;
  for (pyne::comp_iter i = comp.begin(); i != comp.end(); ++i) {
    act[i->first] = masspermole * (i->second) * decay_const(i->first) / \
                    atomic_mass(i->first);
  }
  return act;
}


pyne::comp_map pyne::Material::decay_heat() {
  pyne::comp_map dh;
  double masspermole = mass * pyne::N_A;
  for (pyne::comp_iter i = comp.begin(); i != comp.end(); ++i) {
    dh[i->first] = masspermole * (i->second) * \
                   decay_const(i->first) * q_val(i->first) / \
                   atomic_mass(i->first) / pyne::MeV_per_MJ;
  }
  return dh;
}


pyne::comp_map pyne::Material::dose_per_g(std::string dose_type, int source) {
  pyne::comp_map dose;
  const double pCi_per_Bq = 27.027027;
  if (dose_type == "ext_air") {
    for (pyne::comp_iter i = comp.begin(); i != comp.end(); ++i) {
      dose[i->first] = Ci_per_Bq * pyne::N_A * (i->second) * \
                       decay_const(i->first) * ext_air_dose(i->first, source) / \
                       atomic_mass(i->first);
    }
  } else if (dose_type == "ext_soil") {
    for (pyne::comp_iter i = comp.begin(); i != comp.end(); ++i) {
      dose[i->first] = Ci_per_Bq * pyne::N_A * (i->second) * \
                       decay_const(i->first) * ext_soil_dose(i->first, source) / \
                       atomic_mass(i->first);
    }
  } else if (dose_type == "ingest") {
    for (pyne::comp_iter i = comp.begin(); i != comp.end(); ++i) {
      dose[i->first] = pCi_per_Bq * pyne::N_A * (i->second) * \
                       decay_const(i->first) * ingest_dose(i->first, source) / \
                       atomic_mass(i->first);
    }
  } else if (dose_type == "inhale") {
    for (pyne::comp_iter i = comp.begin(); i != comp.end(); ++i) {
      dose[i->first] = pCi_per_Bq * pyne::N_A * (i->second) * \
                       decay_const(i->first) * inhale_dose(i->first, source) / \
                       atomic_mass(i->first);
    }
  } else {
    throw std::invalid_argument("Dose type must be one of: ext_air, ext_soil, ingest, inhale.");
  }
  return dose;
}


double pyne::Material::molecular_mass(double apm) {
  // Calculate the atomic weight of the Material
  double inverseA = 0.0;

  for (pyne::comp_iter nuc = comp.begin(); nuc != comp.end(); nuc++)
    inverseA += (nuc->second) / pyne::atomic_mass(nuc->first);

  if (inverseA == 0.0)
    return inverseA;

  // select the atoms per mol
  double atsperm = 1.0; // default to 1.0
  if (0.0 <= apm) {
    atsperm = apm;            // take the function argument, if valid
    if (atoms_per_molecule < 0.0)
      atoms_per_molecule = apm;     // Store the function argument on class, if class has no value
  } else if (0.0 <= atoms_per_molecule)
    atsperm = atoms_per_molecule;  // select the class's value

  return atsperm / inverseA;
}


pyne::Material pyne::Material::expand_elements() {
  // Expands the natural elements of a material and returns a new material note
  // that this implementation relies on the fact that maps of ints are stored in
  // a sorted manner in C++.
  int n, nabund, znuc, zabund;
  comp_map newcomp;
  std::map<int, double>::iterator abund_itr, abund_end;
  if (pyne::natural_abund_map.empty())
    pyne::_load_atomic_mass_map();
  abund_itr = pyne::natural_abund_map.begin();
  abund_end = pyne::natural_abund_map.end();
  zabund = nucname::znum((*abund_itr).first);
  for (comp_iter nuc = comp.begin(); nuc != comp.end(); nuc++) {
    if(abund_itr == abund_end)
      newcomp.insert(*nuc);
    else if(0 == nucname::anum((*nuc).first)) {
      n = (*nuc).first;
      znuc = nucname::znum(n);
      if (znuc < zabund) {
        newcomp.insert(*nuc);
        continue;
      }
      while(zabund <= znuc) {
        nabund = (*abund_itr).first;
        if (zabund == znuc && 0 != nucname::anum(nabund) && 0.0 != (*abund_itr).second)
          newcomp[nabund] = (*abund_itr).second * (*nuc).second * \
                            atomic_mass(nabund) / atomic_mass(n);
        else if (n == nabund && 0.0 == (*abund_itr).second)
          newcomp.insert(*nuc);
        abund_itr++;
        if (abund_itr == abund_end) {
          zabund = INT_MAX;
          break;
        }
        zabund = nucname::znum(nabund);
      }
    } else
      newcomp.insert(*nuc);
  }
  return Material(newcomp, mass, density, atoms_per_molecule, metadata);
}

pyne::Material pyne::Material::collapse_elements(std::set<int> exception_ids) {
  ////////////////////////////////////////////////////////////////////////
  // Assumptions
  //    - list passed in is of nucid's formed from the znum-anum of
  //      Fluka-named isotopes, since we want to preserve the full
  //      nucid of any such material in the problem
  // Algorithm
  // for each component listed in this material that has a nonzero frac or
  //    weight amount, look at its 'stripped' nucid, that is, the last four
  //    places replaced by zeros.
  //    if it's on the exception list, copy the component
  //    else it is to be collapsed
  //       => add its frac to the component of the znum
  //
  // * When from_hdf5 reads from a file the comp iterator will produce a
  //   hit for EVERY nucid in EVERY material in the file.  Only the nucids
  //   belonging to the CURRENT material have a nonzero fraction/mass amount
  /////////////////////////////////////////////////////////////////////////
  pyne::comp_map cm;

  for (pyne::comp_iter ptr = comp.begin(); ptr != comp.end(); ptr++) {
      if (0 < ptr->second) {
        // There is a nonzero amount of this nucid in the current material,
        // check if znum and anum are in the exception list,
        int cur_stripped_id = nucname::znum(ptr->first)*10000000
                        + nucname::anum(ptr->first)*10000;
        if (0 < exception_ids.count(cur_stripped_id)) {
        // The znum/anum combination identify the current material as a
        // fluka-named exception list => copy, don't collapse
          cm[ptr->first] = (ptr->second) * mass;
        } else {
          // Not on exception list => add frac to id-component
          int znum_id = nucname::id(nucname::znum(ptr->first));
          cm[znum_id] += (ptr->second) * mass;
        }
      }
  }
  // Copy
  pyne::Material collapsed = pyne::Material(cm, mass, density,
                                            atoms_per_molecule, metadata);
  return collapsed;
}

// Wrapped version for calling from python
pyne::Material pyne::Material::collapse_elements(int** int_ptr_arry ) {
    std::set<int> nucvec;
    // Set first pointer to first int pointed to by arg
    int *int_ptr = *int_ptr_arry;
    while (int_ptr != NULL)
    {
      nucvec.insert(*int_ptr);
      int_ptr++;
    }
    return collapse_elements(nucvec);
}

double pyne::Material::mass_density(double num_dens, double apm) {
  if (0.0 <= num_dens) {
    double mw = molecular_mass(apm);
    density = num_dens * mw / pyne::N_A / atoms_per_molecule;
  }
  return density;
}


double pyne::Material::number_density(double mass_dens, double apm) {
  if (0 <= mass_dens)
    density = mass_dens;
  double mw = molecular_mass(apm);
  double num_dens = density * pyne::N_A * atoms_per_molecule / mw;
  return num_dens;
}


/*--- Stub-Stream Computation ---*/

pyne::Material pyne::Material::sub_mat(std::set<int> nucset) {
  // Grabs a sub-material from this mat based on a set of integers.
  // Integers can either be of id form -OR- they can be a z-numer (is 8 for O, 93 for Np, etc).

  pyne::comp_map cm;
  for (pyne::comp_iter i = comp.begin(); i != comp.end(); i++) {
    if ( 0 < nucset.count(i->first) )
      cm[i->first] = (i->second) * mass;
  }

  return pyne::Material(cm, -1, -1);
}



pyne::Material pyne::Material::sub_mat(std::set<std::string> nucset) {
  // Grabs a substream from this stream based on a set of strings.
  // Strings can be of any form.
  std::set<int> iset;
  for (std::set<std::string>::iterator i = nucset.begin(); i != nucset.end(); i++) {
    iset.insert(pyne::nucname::id(*i));
  }

  return sub_mat(iset);
}



pyne::Material pyne::Material::set_mat (std::set<int> nucset, double value) {
  // Sets a sub-material from this mat based on a set of integers.
  // Integers can either be of id form -OR- they can be a z-numer (is 8 for O, 93 for Np, etc).
  // n is the name of the new material.

  pyne::comp_map cm;

  // Add non-set components
  for (pyne::comp_iter i = comp.begin(); i != comp.end(); i++) {
    if ( 0 == nucset.count(i->first) )
      cm[i->first] = (i->second) * mass;
  }

  // Add set component
  for (std::set<int>::iterator nuc = nucset.begin(); nuc != nucset.end(); nuc++)
    cm[*nuc] = value;

  return pyne::Material(cm, -1, -1);
}



pyne::Material pyne::Material::set_mat(std::set<std::string> nucset, double value) {
  // Sets a substream from this stream based on a set of strings.
  // Strings can be of any form.
  std::set<int> iset;
  for (std::set<std::string>::iterator i = nucset.begin(); i != nucset.end(); i++) {
    iset.insert(pyne::nucname::id(*i));
  }

  return set_mat(iset, value);
}




pyne::Material pyne::Material::del_mat(std::set<int> nucset) {
  // Removes a sub-material from this mat based on a set of integers.
  // Integers can either be of id form -OR- they can be a z-numer (is 8 for O, 93 for Np, etc).
  // n is the name of the new material.

  pyne::comp_map cm;
  for (pyne::comp_iter i = comp.begin(); i != comp.end(); i++) {
    // Only add to new comp if not in nucset
    if ( 0 == nucset.count(i->first) )
      cm[i->first] = (i->second) * mass;
  }

  return pyne::Material(cm, -1, -1);
}



pyne::Material pyne::Material::del_mat (std::set<std::string> nucset) {
  // Removes a substream from this stream based on a set of strings.
  // Strings can be of any form.
  std::set<int> iset;
  for (std::set<std::string>::iterator i = nucset.begin(); i != nucset.end(); i++) {
    iset.insert(pyne::nucname::id(*i));
  }

  return del_mat(iset);
}






pyne::Material pyne::Material::sub_range(int lower, int upper) {
  // Grabs a sub-material from this mat based on a range of integers.
  if (upper < lower)
  {
    int temp_upper = upper;
    upper = lower;
    lower = temp_upper;
  }

  pyne::comp_map cm;
  for (pyne::comp_iter i = comp.begin(); i != comp.end(); i++) {
    if ((lower <= (i->first)) && ((i->first) < upper))
      cm[i->first] = (i->second) * mass;
  }

  return pyne::Material(cm, -1,-1);
}



pyne::Material pyne::Material::set_range(int lower, int upper, double value) {
  // Sets a sub-material from this mat based on a range of integers.
  if (upper < lower) {
    int temp_upper = upper;
    upper = lower;
    lower = temp_upper;
  }

  pyne::comp_map cm;
  for (pyne::comp_iter i = comp.begin(); i != comp.end(); i++) {
    if ((lower <= (i->first)) && ((i->first) < upper))
      cm[i->first] = value;
    else
      cm[i->first] = (i->second) * mass;
  }

  return pyne::Material(cm, -1,-1);
}



pyne::Material pyne::Material::del_range(int lower, int upper) {
  // Removes a sub-material from this mat based on a range of integers.
  if (upper < lower) {
    int temp_upper = upper;
    upper = lower;
    lower = temp_upper;
  }

  pyne::comp_map cm;
  for (pyne::comp_iter i = comp.begin(); i != comp.end(); i++) {
    if ((upper <= (i->first)) || ((i->first) < lower))
      cm[i->first] = (i->second) * mass;
  }

  return pyne::Material(cm, -1, -1);
}










pyne::Material pyne::Material::sub_elem(int elem) {
  // Returns a material of the element that is a submaterial of this one.
  return sub_range(elem, elem + 10000000);
}



pyne::Material pyne::Material::sub_lan() {
  // Returns a material of Lanthanides that is a sub-material of this one.
  return sub_range(570000000, 720000000);
}



pyne::Material pyne::Material::sub_act() {
  //Returns a material of Actindes that is a sub-material of this one.
  return sub_range(890000000, 1040000000);
}


pyne::Material pyne::Material::sub_tru() {
  // Returns a material of Transuranics that is a sub-material of this one.
  return sub_range(930000000, INT_MAX);
}



pyne::Material pyne::Material::sub_ma() {
  // Returns a material of Minor Actinides that is a sub-material of this one.
  return sub_range(930000000, 1040000000).del_range(940000000, 950000000);
}



pyne::Material pyne::Material::sub_fp() {
  // Returns a material of Fission Products that is a sub-material of this one.
  return sub_range(0, 890000000);
}




/*--- Atom Frac Functions ---*/

std::map<int, double> pyne::Material::to_atom_frac() {
  // Returns an atom fraction map from this material's composition
  // the material's molecular mass
  double mat_mw = molecular_mass();

  std::map<int, double> atom_fracs = std::map<int, double>();

  for (comp_iter ci = comp.begin(); ci != comp.end(); ci++)
    atom_fracs[ci->first] = (ci->second) * mat_mw / pyne::atomic_mass(ci->first);

  return atom_fracs;
}


void pyne::Material::from_atom_frac(std::map<int, double> atom_fracs) {
  // atom frac must be of the form {nuc: af}, eg, water
  //  80160: 1.0
  //  10010: 2.0

  // clear existing components
  comp.clear();
  atoms_per_molecule = 0.0;

  for (std::map<int, double>::iterator afi = atom_fracs.begin(); afi != atom_fracs.end(); afi++) {
    comp[afi->first] = (afi->second) * pyne::atomic_mass(afi->first);
    atoms_per_molecule += (afi->second);
  }

  norm_comp();
}


std::map<int, double> pyne::Material::to_atom_dens() {
  // Returns an atom density map from this material's composition
  // the material's density

  std::map<int, double> atom_dens = std::map<int, double>();

  for (comp_iter ci = comp.begin(); ci != comp.end(); ci++)
    atom_dens[ci->first] = (ci->second) * density * pyne::N_A / pyne::atomic_mass(ci->first);

  return atom_dens;
}


std::vector<std::pair<double, double> > pyne::Material::gammas() {
  std::vector<std::pair<double, double> > result;
  std::map<int, double> atom_fracs = this->to_atom_frac();
  int state_id;
  for (comp_iter ci = comp.begin(); ci != comp.end(); ci++) {
    if (ci->first % 10000 > 0)
        state_id = nucname::id_to_state_id(ci->first);
    else
        state_id = ci->first;

    std::vector<std::pair<double, double> > raw_gammas = pyne::gammas(state_id);
    for (int i = 0; i < raw_gammas.size(); ++i) {
      result.push_back(std::make_pair(raw_gammas[i].first,
        atom_fracs[ci->first]*raw_gammas[i].second));
    }
  }
  return result;
}

std::vector<std::pair<double, double> > pyne::Material::xrays() {
  std::vector<std::pair<double, double> > result;
  std::map<int, double> atom_fracs = this->to_atom_frac();
  int state_id;
  for (comp_iter ci = comp.begin(); ci != comp.end(); ci++) {
    if (ci->first % 10000 > 0)
        state_id = nucname::id_to_state_id(ci->first);
    else
        state_id = ci->first;

    std::vector<std::pair<double, double> > raw_xrays = pyne::xrays(state_id);
    for (int i = 0; i < raw_xrays.size(); ++i) {
      result.push_back(std::make_pair(raw_xrays[i].first,
        atom_fracs[ci->first]*raw_xrays[i].second));
    }
  }
  return result;
}

std::vector<std::pair<double, double> > pyne::Material::photons(bool norm) {
  std::vector<std::pair<double, double> >  txray = this->xrays();
  std::vector<std::pair<double, double> >  tgammas = this->gammas();
  for (int i = 0; i < txray.size(); ++i)
    tgammas.push_back(txray[i]);
  if (norm)
    tgammas = normalize_radioactivity(tgammas);
  return tgammas;
}

std::vector<std::pair<double, double> > pyne::Material::normalize_radioactivity(
std::vector<std::pair<double, double> > unnormed) {
  std::vector<std::pair<double, double> > normed;
  double sum = 0.0;
  for (int i = 0; i < unnormed.size(); ++i) {
    if (!isnan(unnormed[i].second))
      sum = sum + unnormed[i].second;
  }
  for (int i = 0; i < unnormed.size(); ++i) {
    if (!isnan(unnormed[i].second)) {
      normed.push_back(std::make_pair(unnormed[i].first,
        (unnormed[i].second)/sum));
    }
  }
  return normed;
}


pyne::Material pyne::Material::decay(double t) {
  Material rtn;
  comp_map out = pyne::decayers::decay(to_atom_frac(), t);
  rtn.from_atom_frac(out);
  rtn.mass = mass * rtn.molecular_mass() / molecular_mass();
  return rtn;
}


pyne::Material pyne::Material::operator+ (double y) {
  // Overloads x + y
  return pyne::Material(comp, mass + y, density);
}



pyne::Material pyne::Material::operator+ (Material y) {
  // Overloads x + y
  pyne::comp_map cm;
  pyne::comp_map xwgt = mult_by_mass();
  pyne::comp_map ywgt = y.mult_by_mass();

  for (pyne::comp_iter i = xwgt.begin(); i != xwgt.end(); i++) {
    if ( 0 < ywgt.count(i->first) )
      cm[i->first] = xwgt[i->first] + ywgt[i->first];
    else
      cm[i->first] = xwgt[i->first];
  }

  for (pyne::comp_iter i = ywgt.begin(); i != ywgt.end(); i++) {
    if ( 0 == cm.count(i->first) )
      cm[i->first] = ywgt[i->first];
  }

  return pyne::Material(cm, -1, -1);
}



pyne::Material pyne::Material::operator* (double y) {
  // Overloads x * y
  return pyne::Material(comp, mass * y, density);
}



pyne::Material pyne::Material::operator/ (double y) {
  // Overloads x / y
  return pyne::Material(comp, mass / y, density );
}
//
// end of src/material.cpp
//


//
// start of src/enrichment_cascade.cpp
//
// Enrichment Cascade
#ifndef PYNE_IS_AMALGAMATED
#include "enrichment_cascade.h"
#endif

namespace pyne_enr = pyne::enrichment;

/*********************************/
/*** Enrichment Helper Classes ***/
/*********************************/
pyne_enr::Cascade::Cascade() {
  alpha = 0.0;
  Mstar = 0.0;

  j = 0;
  k = 0;

  N = 0.0;
  M = 0.0;

  x_feed_j = 0.0;
  x_prod_j = 0.0;
  x_tail_j = 0.0;

  mat_feed = pyne::Material();
  mat_prod = pyne::Material();
  mat_tail = pyne::Material();

  l_t_per_feed = 0.0;
  swu_per_feed = 0.0;
  swu_per_prod = 0.0;
}


pyne_enr::Cascade::~Cascade() {
}


void pyne_enr::Cascade::_reset_xjs() {
  // resets the key enriment member variables
  x_feed_j = mat_feed.comp[j];
  x_prod_j = mat_prod.comp[j];
  x_tail_j = mat_tail.comp[j];
}

//
// end of src/enrichment_cascade.cpp
//


//
// start of src/enrichment.cpp
//
// Enrichment 
#ifndef PYNE_IS_AMALGAMATED
#include "enrichment.h"
#endif

namespace pyne_enr = pyne::enrichment;

pyne_enr::Cascade pyne_enr::_fill_default_uranium_cascade() {
  // Default cascade for uranium-based enrichment
  Cascade duc; 

  duc.alpha = 1.05;
  duc.Mstar = 236.5;

  duc.j = 922350000;
  duc.k = 922380000;

  duc.N = 30.0;
  duc.M = 10.0;

  duc.x_feed_j = 0.0072;
  duc.x_prod_j = 0.05;
  duc.x_tail_j = 0.0025;

  pyne::comp_map cm;
  cm[922340000] = 0.000055;
  cm[922350000] = 0.00720;
  cm[922380000] = 0.992745;
  duc.mat_feed = pyne::Material(cm, 1.0, 1.0);

  return duc;
}
pyne_enr::Cascade pyne_enr::default_uranium_cascade(pyne_enr::_fill_default_uranium_cascade());



double pyne_enr::feed_per_prod(double x_feed, double x_prod, double x_tail) {
  return 1 / prod_per_feed(x_feed, x_prod, x_tail);
}

double pyne_enr::feed_per_tail(double x_feed, double x_prod, double x_tail) {
  return 1 / tail_per_feed(x_feed, x_prod, x_tail);
}

double pyne_enr::prod_per_tail(double x_feed, double x_prod, double x_tail) {
  return 1 / tail_per_prod(x_feed, x_prod, x_tail);
}

double pyne_enr::prod_per_feed(double x_feed, double x_prod, double x_tail) {
  return (x_feed - x_tail) / (x_prod - x_tail);
}

double pyne_enr::tail_per_feed(double x_feed, double x_prod, double x_tail) {
  return (x_feed - x_prod) / (x_tail - x_prod);
}

double pyne_enr::tail_per_prod(double x_feed, double x_prod, double x_tail) {
  return (x_feed - x_prod) / (x_tail - x_feed);
}

double pyne_enr::value_func(double x) {
  return (2 * x - 1) * log(x / (1 - x));
}

double pyne_enr::swu_per_feed(double x_feed, double x_prod, double x_tail) {
  return
      prod_per_feed(x_feed, x_prod, x_tail) * value_func(x_prod) + \
      tail_per_feed(x_feed, x_prod, x_tail) * value_func(x_tail) - \
      value_func(x_feed);
}

double pyne_enr::swu_per_prod(double x_feed, double x_prod, double x_tail) {
  return
      value_func(x_prod) + \
      tail_per_prod(x_feed, x_prod, x_tail) * value_func(x_tail) - \
      feed_per_prod(x_feed, x_prod, x_tail) * value_func(x_feed);
}

double pyne_enr::swu_per_tail(double x_feed, double x_prod, double x_tail) {
  return
      prod_per_tail(x_feed, x_prod, x_tail) * value_func(x_prod) + \
      value_func(x_tail) - \
      feed_per_tail(x_feed, x_prod, x_tail) * value_func(x_feed);
}


double pyne_enr::alphastar_i(double alpha, double Mstar, double M_i) {
  // M_i is the mass of the ith nuclide
  return pow(alpha, (Mstar - M_i));
}


void pyne_enr::_recompute_nm(pyne_enr::Cascade & casc, double tolerance) {

  double ppf = prod_per_feed(casc.mat_feed.comp[casc.j], casc.x_prod_j, casc.x_tail_j);
  double tpf = tail_per_feed(casc.mat_feed.comp[casc.j], casc.x_prod_j, casc.x_tail_j);
  double astar_j = alphastar_i(casc.alpha, casc.Mstar, pyne::atomic_mass(casc.j));

  // Save original state of N & M
  double N = casc.N;
  double M = casc.M;
  double origN = casc.N;
  double origM = casc.M;

  double lhs_prod = ppf * casc.x_prod_j / casc.mat_feed.comp[casc.j];
  double rhs_prod = (pow(astar_j, M+1.0) - 1.0) / (pow(astar_j, M+1.0) - pow(astar_j, -N));
  double lhs_tail = tpf * casc.x_tail_j / casc.mat_feed.comp[casc.j];
  double rhs_tail = (1.0 - pow(astar_j, -N)) / (pow(astar_j, M+1.0) - pow(astar_j, -N));

  double n = 1.0;
  double delta_prod = lhs_prod - rhs_prod;
  double delta_tail = lhs_tail - rhs_tail;
  while (tolerance < fabs(delta_prod) && tolerance < fabs(delta_tail)) {
    delta_prod = lhs_prod - rhs_prod;
    delta_tail = lhs_tail - rhs_tail;

    if (tolerance < fabs(delta_prod)) {
      N = N - (delta_prod * N);
      rhs_prod = (pow(astar_j, M+1.0) - 1.0) / (pow(astar_j, M+1.0) - pow(astar_j, -N));
    }

    if (tolerance < fabs(delta_tail)) {
      M = M - (delta_tail * M);
      rhs_tail = (1.0 - pow(astar_j, -N)) / (pow(astar_j, M+1.0) - pow(astar_j, -N));
    }

    if (N < tolerance) {
      N = origN + n;
      M = origM + n;
      n = n + 1.0;
    }

    if (M < tolerance) {
      N = origN + n;
      M = origM + n;
      n = n + 1.0;
    }
  }

  casc.N = N;
  casc.M = M;
  return; 
}



void pyne_enr::_recompute_prod_tail_mats(pyne_enr::Cascade & casc) {
  //This function takes a given initial guess number of enriching and stripping stages 
  //for a given composition of fuel with a given jth key component, knowing the values 
  //that are desired in both Product and Tails streams.  Having this it solves for what 
  //the actual N and M stage numbers are and also what the product and waste streams 
  //compositions are.  It returns precisely these.
  pyne::comp_map comp_prod;
  pyne::comp_map comp_tail;

  int nuc;
  double astar_i, numer_prod, numer_tail, denom_prod, denom_tail;

  double N = casc.N;
  double M = casc.M;

  double ppf = prod_per_feed(casc.mat_feed.comp[casc.j], casc.x_prod_j, casc.x_tail_j);
  double tpf = tail_per_feed(casc.mat_feed.comp[casc.j], casc.x_prod_j, casc.x_tail_j);

  for (pyne::comp_iter i = casc.mat_feed.comp.begin(); i != casc.mat_feed.comp.end(); i++) {
    nuc = (i->first);
    astar_i = alphastar_i(casc.alpha, casc.Mstar, pyne::atomic_mass(nuc));

    // calc prod comp
    numer_prod = casc.mat_feed.comp[nuc] * (pow(astar_i, M+1.0) - 1.0);
    denom_prod = (pow(astar_i, M+1.0) - pow(astar_i, -N)) / ppf;
    comp_prod[nuc] = numer_prod / denom_prod;

    // calc tail comp
    numer_tail = casc.mat_feed.comp[nuc] * (1.0 - pow(astar_i, -N));
    denom_tail = (pow(astar_i, M+1.0) - pow(astar_i, -N)) / tpf;
    comp_tail[nuc] = numer_tail / denom_tail;
  }

  casc.mat_prod = pyne::Material(comp_prod);
  casc.mat_tail = pyne::Material(comp_tail);
  return;
}



pyne_enr::Cascade pyne_enr::_norm_comp_secant(pyne_enr::Cascade & casc, \
                                              double tolerance, int max_iter) {
  // This function actually solves the whole system of equations.  It uses _recompute_prod_tail_mats 
  // to find the roots for the enriching and stripping stage numbers.  It then 
  // checks to see if the product and waste streams meet their target enrichments
  // for the jth component like they should.  If they don't then it trys other values 
  // of N and M varied by the Secant ethod.  Rinse and repeat as needed.
  int j = casc.j;
  pyne_enr::Cascade prev_casc = casc;
  pyne_enr::Cascade curr_casc = casc;

  // Is the history of N and M that has been input
  unsigned int h;
  int niter = 0;
  int max_hist = max_iter / 10;
  std::vector<double> historyN;
  std::vector<double> historyM;

  // Initialize prev point
  prev_casc.N += 1.0;
  prev_casc.M += 1.0;
  _recompute_nm(prev_casc, tolerance);
  _recompute_prod_tail_mats(prev_casc);
  historyN.push_back(prev_casc.N);
  historyM.push_back(prev_casc.M);


  // Initialize current point
  _recompute_nm(curr_casc, tolerance);
  _recompute_prod_tail_mats(curr_casc);
  historyN.push_back(curr_casc.N);
  historyM.push_back(curr_casc.M);

  // My guess is that what we are checkin here is that the isotopic compositions
  // make sense with abs(1.0 - masscurr_P) rather than calculatign the 
  // relative product to watse mass streams.
  double prev_N = prev_casc.N;
  double prev_M = prev_casc.M;
  double curr_N = curr_casc.N;
  double curr_M = curr_casc.M;
  double temp_prev_N = 0.0;
  double temp_prev_M = 0.0;
  double temp_curr_N = 0.0;
  double temp_curr_M = 0.0;

  double delta_x_prod_j = casc.x_prod_j - curr_casc.mat_prod.comp[j];
  double delta_x_tail_j = casc.x_tail_j - curr_casc.mat_tail.comp[j];

  while ((tolerance < fabs(delta_x_prod_j) / curr_casc.mat_prod.comp[j]  || \
          tolerance < fabs(delta_x_tail_j) / curr_casc.mat_tail.comp[j]) && \
          niter < max_iter) {
    delta_x_prod_j = casc.x_prod_j - curr_casc.mat_prod.comp[j];
    delta_x_tail_j = casc.x_tail_j - curr_casc.mat_tail.comp[j];

    if (tolerance <= fabs(delta_x_prod_j)/curr_casc.mat_prod.comp[j]) {
      // Make a new guess for N
      temp_curr_N = curr_N;
      temp_prev_N = prev_N;
      curr_N = curr_N + delta_x_prod_j*\
              ((curr_N - prev_N)/(curr_casc.mat_prod.comp[j] - prev_casc.mat_prod.comp[j]));
      prev_N = temp_curr_N;

      // If the new value of N is less than zero, reset.
      if (curr_N < 0.0)
        curr_N = (temp_curr_N + temp_prev_N)/2.0;
    }

    if (tolerance <= fabs(delta_x_tail_j)/curr_casc.mat_tail.comp[j]) {
      // Make a new guess for M
      temp_curr_M = curr_M;
      temp_prev_M = prev_M;
      curr_M = curr_M + delta_x_tail_j*\
               ((curr_M - prev_M)/(curr_casc.mat_tail.comp[j] - prev_casc.mat_tail.comp[j]));
      prev_M = temp_curr_M;

      // If the new value of M is less than zero, reset.
      if (curr_M < 0.0)
        curr_M = (temp_curr_M + temp_prev_M)/2.0;
    }

    // Check for infinite loops
    for (h = 0; h < historyN.size(); h++) {
      if (historyN[h] == curr_N && historyM[h] == curr_M) {
        curr_N = curr_N + delta_x_prod_j * \
              ((curr_N - prev_N)/(curr_casc.mat_prod.comp[j] - prev_casc.mat_prod.comp[j]));
        curr_M = curr_M + delta_x_tail_j * \
               ((curr_M - prev_M)/(curr_casc.mat_tail.comp[j] - prev_casc.mat_tail.comp[j]));;
        break;
      }
    }

    if (max_hist <= historyN.size()) {
      historyN.erase(historyN.begin());
      historyM.erase(historyM.begin());
    }
    historyN.push_back(curr_N);
    historyM.push_back(curr_M);

    niter += 1;

    // Calculate new isotopics for valid (N, M)        
    prev_casc = curr_casc;
    curr_casc.N = curr_N;
    curr_casc.M = curr_M;
    _recompute_nm(curr_casc, tolerance);
    _recompute_prod_tail_mats(curr_casc);
  }
  return curr_casc;
}



double pyne_enr::_deltaU_i_OverG(pyne_enr::Cascade & casc, int i) {
  // Solves for a stage separative power relevant to the ith component
  // per unit of flow G.  This is taken from Equation 31 divided by G 
  // from the paper "Wood, Houston G., Borisevich, V. D. and Sulaberidze, G. A.,
  // 'On a Criterion Efficiency for Multi-Isotope Mixtures Separation', 
  // Separation Science and Technology, 34:3, 343 - 357"
  // To link to this article: DOI: 10.1081/SS-100100654
  // URL: http://dx.doi.org/10.1081/SS-100100654

  double astar_i = alphastar_i(casc.alpha, casc.Mstar, pyne::atomic_mass(i));
  return log(pow(casc.alpha, (casc.Mstar - pyne::atomic_mass(casc.j)) )) * \
                             ((astar_i - 1.0)/(astar_i + 1.0));
}


pyne_enr::Cascade pyne_enr::solve_numeric(pyne_enr::Cascade & orig_casc, \
                                          double tolerance, int max_iter) {
  // This function finds the total flow rate (L) over the feed flow rate (F)
  pyne_enr::Cascade casc = orig_casc;

  casc = _norm_comp_secant(casc, tolerance, max_iter);

  int nuc;
  int j = casc.j;
  int k = casc.k;
  double ppf = prod_per_feed(casc.mat_feed.comp[j], casc.x_prod_j, casc.x_tail_j);
  double tpf = tail_per_feed(casc.mat_feed.comp[j], casc.x_prod_j, casc.x_tail_j);

  // Matched Flow Ratios
  double rfeed = casc.mat_feed.comp[j] / casc.mat_feed.comp[k];
  double rprod = casc.mat_prod.comp[j] / casc.mat_prod.comp[k];
  double rtail = casc.mat_tail.comp[j] / casc.mat_tail.comp[k];

  double ltotpf = 0.0;
  double swupf = 0.0;
  double temp_numer = 0.0; 

  for (pyne::comp_iter i = casc.mat_feed.comp.begin(); i != casc.mat_feed.comp.end(); i++) {
    nuc = (i->first);
    temp_numer = (ppf*casc.mat_prod.comp[nuc]*log(rprod) + \
                  tpf*casc.mat_tail.comp[nuc]*log(rtail) - \
                      casc.mat_feed.comp[nuc]*log(rfeed));
    ltotpf = ltotpf + (temp_numer / _deltaU_i_OverG(casc, nuc));
    swupf = swupf + temp_numer;
  }

  // Assign flow rates
  casc.l_t_per_feed = ltotpf;

  // The -1 term is put in the SWU calculation because otherwise swupf   
  // represents the SWU that would be undone if you were to deenrich the 
  // whole process.  Thus the SWU to enrich is -1x this number.  This is 
  // a by-product of the value function used as a constraint.
  casc.swu_per_feed = -1 * swupf;       // This is the SWU for 1 kg of Feed material.
  casc.swu_per_prod = -1 * swupf / ppf; // This is the SWU for 1 kg of Product material.

  // Assign isotopic streams the proper masses.
  casc.mat_prod.mass = casc.mat_feed.mass * ppf;
  casc.mat_tail.mass = casc.mat_feed.mass * tpf;
  return casc;
}

pyne_enr::Cascade pyne_enr::multicomponent(pyne_enr::Cascade & orig_casc, \
                                    char * solver, double tolerance, int max_iter) {
  std::string strsolver(solver);
  return multicomponent(orig_casc, strsolver, tolerance, max_iter);
}

pyne_enr::Cascade pyne_enr::multicomponent(pyne_enr::Cascade & orig_casc, \
                                    std::string solver, double tolerance, int max_iter) {
  // The multicomponent() function finds a value of Mstar by minimzing the seperative power.  
  // Note that Mstar0 represents an intial guess at what Mstar might be.
  // This is the final function that actually solves for an optimized M* that makes the cascade!
  pyne_enr::Cascade temp_casc;
  pyne_enr::Cascade prev_casc = orig_casc;
  pyne_enr::Cascade curr_casc = orig_casc;

  // define the solver to use
  int solver_code;
  if (solver == "symbolic")
    solver_code = 0;
  else if (solver == "numeric")
    solver_code = 1;
  else 
    throw "solver not known: " + solver;

  // validate Mstar or pick new value
  if ((orig_casc.Mstar < pyne::atomic_mass(orig_casc.j) &&  \
       orig_casc.Mstar < pyne::atomic_mass(orig_casc.k)) || \
      (orig_casc.Mstar > pyne::atomic_mass(orig_casc.j) &&  \
       orig_casc.Mstar > pyne::atomic_mass(orig_casc.k))) {
    double ms = (pyne::atomic_mass(orig_casc.j) + pyne::atomic_mass(orig_casc.k)) / 2.0;
    prev_casc.Mstar = ms;
    curr_casc.Mstar = ms;
  }

  // xpn is the exponential index 
  double ooe = -log10(tolerance);
  double xpn = 1.0;

  // Initialize previous point
  switch (solver_code) {
    case 0:
      prev_casc = solve_symbolic(prev_casc);
      break;
    case 1:
      prev_casc = solve_numeric(prev_casc, tolerance, max_iter);
      break;
  }

  // Initialize curr_ent point
  curr_casc.Mstar = (pyne::atomic_mass(curr_casc.j) + curr_casc.Mstar) / 2.0;
  switch (solver_code) {
    case 0:
      curr_casc = solve_symbolic(curr_casc);
      break;
    case 1:
      curr_casc = solve_numeric(curr_casc, tolerance, max_iter);
      break;
  }

  double m = pyne::slope(curr_casc.Mstar, curr_casc.l_t_per_feed, \
                         prev_casc.Mstar, prev_casc.l_t_per_feed);
  double m_sign = m / fabs(m);

  double temp_m;
  double temp_m_sign;

  while (tolerance < fabs(curr_casc.l_t_per_feed - prev_casc.l_t_per_feed) / curr_casc.l_t_per_feed) {
    // Check that parameters are still well-formed
    if (isnan(curr_casc.Mstar) || isnan(curr_casc.l_t_per_feed) || \
        isnan(prev_casc.Mstar) || isnan(prev_casc.l_t_per_feed))
      throw EnrichmentIterationNaN();

    prev_casc = curr_casc;

    curr_casc.Mstar = curr_casc.Mstar - (m_sign * pow(10.0, -xpn));
    switch (solver_code) {
      case 0:
        curr_casc = solve_symbolic(curr_casc);
        break;
      case 1:
        curr_casc = solve_numeric(curr_casc, tolerance, max_iter);
        break;
    }

    if (prev_casc.l_t_per_feed < curr_casc.l_t_per_feed) {
      temp_casc = curr_casc;
      temp_casc.Mstar = temp_casc.Mstar - (m_sign * pow(10.0, -xpn));
      switch (solver_code) {
        case 0:
          temp_casc = solve_symbolic(temp_casc);
          break;
        case 1:
          temp_casc = solve_numeric(temp_casc, tolerance, max_iter);
          break;
      }

      temp_m = pyne::slope(curr_casc.Mstar, curr_casc.l_t_per_feed, \
                           temp_casc.Mstar, temp_casc.l_t_per_feed);
      if (temp_m == 0.0) {
        prev_casc = curr_casc;
        curr_casc = temp_casc;
        break;
      }

      temp_m_sign = temp_m / fabs(temp_m);
      if (m_sign != temp_m_sign) {
        xpn = xpn + 1;

        temp_casc = prev_casc;
        temp_casc.Mstar = temp_casc.Mstar + (m_sign * pow(10.0, -xpn));
        switch (solver_code) {
          case 0:
            temp_casc = solve_symbolic(temp_casc);
            break;
          case 1:
            temp_casc = solve_numeric(temp_casc, tolerance, max_iter);
            break;
        }
        temp_m = pyne::slope(prev_casc.Mstar, prev_casc.l_t_per_feed, \
                             temp_casc.Mstar, temp_casc.l_t_per_feed);

        if (temp_m == 0.0) {
          prev_casc = curr_casc;
          curr_casc = temp_casc;
          break;
        }

        m_sign = temp_m / fabs(temp_m);
        m = temp_m;
        prev_casc = curr_casc;
        curr_casc = temp_casc;
      }
    }
  }

  return curr_casc;
}
//
// end of src/enrichment.cpp
//


//
// start of src/enrichment_symbolic20.cpp
//
 
/*********************************************************/
/***            Symbolic Enrichment Functions          ***/
/*** WARNING: This file is auto-generated.             ***/
/***                  DO NOT MODIFY!!!                 ***/
/*********************************************************/
#ifndef PYNE_IS_AMALGAMATED
#include "enrichment_symbolic.h"
#endif

pyne::enrichment::Cascade pyne::enrichment::solve_symbolic(pyne::enrichment::Cascade & orig_casc)
{
  pyne::enrichment::Cascade casc = orig_casc;
  int j = casc.j;
  int k = casc.k;
  double alpha = casc.alpha;
  double NP0 = casc.N;
  //double NT0 = casc.M;
  double Mstar = casc.Mstar;
  double xPj = casc.x_prod_j;
  //double xFj = casc.x_feed_j;
  double xTj = casc.x_tail_j;
  int ncomp = casc.mat_feed.comp.size();
  double LpF = -1.0, PpF = -1.0, TpF = -1.0, 
         SWUpF = -1.0, SWUpP = -1.0, 
         NP_b = -1.0, NP_sqrt_base = -1.0, NP_2a = -1.0, 
         NP1 = -1.0, NT1 = -1.0;
  double * MW = new double [ncomp];
  double * xP = new double [ncomp];
  double * xF = new double [ncomp];
  double * xT = new double [ncomp];
  double n538 = 0.0,
         n539 = 0.0,
         n536 = 0.0,
         n537 = 0.0,
         n534 = 0.0,
         n535 = 0.0,
         n532 = 0.0,
         n533 = 0.0,
         n530 = 0.0,
         n531 = 0.0,
         n408 = 0.0,
         n409 = 0.0,
         n402 = 0.0,
         n403 = 0.0,
         n400 = 0.0,
         n401 = 0.0,
         n406 = 0.0,
         n407 = 0.0,
         n404 = 0.0,
         n405 = 0.0,
         n392 = 0.0,
         n393 = 0.0,
         n390 = 0.0,
         n391 = 0.0,
         n396 = 0.0,
         n397 = 0.0,
         n394 = 0.0,
         n395 = 0.0,
         n398 = 0.0,
         n399 = 0.0,
         n240 = 0.0,
         n241 = 0.0,
         n242 = 0.0,
         n243 = 0.0,
         n244 = 0.0,
         n245 = 0.0,
         n246 = 0.0,
         n247 = 0.0,
         n248 = 0.0,
         n249 = 0.0,
         n499 = 0.0,
         n498 = 0.0,
         n329 = 0.0,
         n328 = 0.0,
         n327 = 0.0,
         n326 = 0.0,
         n325 = 0.0,
         n324 = 0.0,
         n323 = 0.0,
         n322 = 0.0,
         n321 = 0.0,
         n320 = 0.0,
         n149 = 0.0,
         n148 = 0.0,
         n143 = 0.0,
         n142 = 0.0,
         n141 = 0.0,
         n140 = 0.0,
         n147 = 0.0,
         n146 = 0.0,
         n145 = 0.0,
         n144 = 0.0,
         n74 = 0.0,
         n75 = 0.0,
         n76 = 0.0,
         n77 = 0.0,
         n70 = 0.0,
         n71 = 0.0,
         n72 = 0.0,
         n73 = 0.0,
         n78 = 0.0,
         n79 = 0.0,
         n615 = 0.0,
         g128 = 0.0,
         g129 = 0.0,
         g126 = 0.0,
         g127 = 0.0,
         g124 = 0.0,
         g125 = 0.0,
         g122 = 0.0,
         g123 = 0.0,
         g120 = 0.0,
         g121 = 0.0,
         g221 = 0.0,
         g220 = 0.0,
         g223 = 0.0,
         g222 = 0.0,
         g225 = 0.0,
         g224 = 0.0,
         g227 = 0.0,
         g226 = 0.0,
         g229 = 0.0,
         g228 = 0.0,
         g254 = 0.0,
         g255 = 0.0,
         g256 = 0.0,
         g257 = 0.0,
         g319 = 0.0,
         g251 = 0.0,
         g252 = 0.0,
         g253 = 0.0,
         g315 = 0.0,
         g314 = 0.0,
         g317 = 0.0,
         g316 = 0.0,
         g258 = 0.0,
         g259 = 0.0,
         g313 = 0.0,
         g312 = 0.0,
         g19 = 0.0,
         g18 = 0.0,
         g17 = 0.0,
         g16 = 0.0,
         g15 = 0.0,
         g14 = 0.0,
         g13 = 0.0,
         g12 = 0.0,
         g11 = 0.0,
         g10 = 0.0,
         n529 = 0.0,
         n528 = 0.0,
         n521 = 0.0,
         n520 = 0.0,
         n523 = 0.0,
         n522 = 0.0,
         n525 = 0.0,
         n524 = 0.0,
         n527 = 0.0,
         n526 = 0.0,
         n415 = 0.0,
         n414 = 0.0,
         n417 = 0.0,
         n416 = 0.0,
         n411 = 0.0,
         n410 = 0.0,
         n413 = 0.0,
         n412 = 0.0,
         n419 = 0.0,
         n418 = 0.0,
         n558 = 0.0,
         n559 = 0.0,
         n554 = 0.0,
         n555 = 0.0,
         n556 = 0.0,
         n557 = 0.0,
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         g234 = 0.0,
         g235 = 0.0,
         g232 = 0.0,
         g233 = 0.0,
         g230 = 0.0,
         g231 = 0.0,
         g238 = 0.0,
         g239 = 0.0,
         g283 = 0.0,
         g282 = 0.0,
         g281 = 0.0,
         g280 = 0.0,
         g287 = 0.0,
         g286 = 0.0,
         g285 = 0.0,
         g284 = 0.0,
         g289 = 0.0,
         g288 = 0.0,
         g302 = 0.0,
         g303 = 0.0,
         g300 = 0.0,
         g301 = 0.0,
         g306 = 0.0,
         g307 = 0.0,
         g304 = 0.0,
         g305 = 0.0,
         g308 = 0.0,
         g309 = 0.0,
         n8 = 0.0,
         n9 = 0.0,
         g68 = 0.0,
         g69 = 0.0,
         g62 = 0.0,
         g63 = 0.0,
         g60 = 0.0,
         g61 = 0.0,
         g66 = 0.0,
         g67 = 0.0,
         g64 = 0.0,
         g65 = 0.0,
         n109 = 0.0,
         n108 = 0.0;
 
  int nuc;
  int i = 2;
  MW[0] = pyne::atomic_mass(j);
  MW[1] = pyne::atomic_mass(k);
  xF[0] = casc.mat_feed.comp[j];
  xF[1] = casc.mat_feed.comp[k];
  for(pyne::comp_iter ci = casc.mat_feed.comp.begin(); ci != casc.mat_feed.comp.end(); ci++)
  {
    nuc = (*ci).first;
    if (nuc == j || nuc == k)
        continue;
    MW[i] = pyne::atomic_mass(nuc);
    xF[i] = (*ci).second;
    i++;
  };

  switch (ncomp)
  {
    case 3:
      n0 = -2.00000000000000;
      n1 = MW[0] - Mstar;
      n2 = log(alpha);
      n3 = xPj - xTj;
      n4 = xF[0] - xPj;
      n5 = MW[1] - Mstar;
      n6 = MW[2] - Mstar;
      n7 = log(xTj);
      n8 = -2;
      n9 = xF[0]*xPj;
      n10 = -Mstar;
      n11 = -xTj;
      n12 = -NP0*n0;
      n13 = pow(n1, -n0);
      n14 = pow(n2, -n0);
      n15 = pow(n5, -n0);
      n16 = pow(n6, -n0);
      n17 = Mstar*n2;
      n18 = -n0*n2;
      n19 = -n2;
      n20 = pow(alpha, NP0*n1);
      n21 = n11*xF[0] + n9;
      n22 = n11*xPj + n9;
      n23 = pow(alpha, NP0*n5);
      n24 = pow(alpha, NP0*n6);
      n25 = MW[0]*n19;
      n26 = n3/n4;
      n27 = -n14;
      n28 = -n20 + 1;
      n29 = -n23 + 1;
      n30 = pow(alpha, n1*n12);
      n31 = pow(n22, -n0);
      n32 = -n24 + 1;
      n33 = -n32;
      n34 = -n20;
      n35 = n1*n14;
      n36 = 1/(n1*n2);
      n37 = n24*n6;
      n38 = n23*n5;
      n39 = n1*n20;
      n40 = n28*xF[0];
      n41 = log((-1.0 + xPj/xF[0])/n3);
      n42 = n39*xF[0];
      n43 = -n29*xF[1];
      n44 = n22/n21;
      n45 = n14*n16*n24;
      n46 = n13*n14*n20;
      n47 = n13*n14*n30;
      n48 = n34*n44 + 1;
      n49 = n17 + n25 + n41 + n7;
      n50 = n36*(n49 - log(n48)) + 1;
      n51 = pow(alpha, n1*n50);
      n52 = pow(alpha, n5*n50);
      n53 = pow(alpha, n50*n6);
      n54 = n28 - 1 + 1.0/n51;
      n55 = n29 - 1 + 1.0/n52;
      n56 = n32 - 1 + 1.0/n53;
      n57 = pow(n54, 3);
      n58 = pow(n55, 3);
      n59 = pow(n56, 3);
      n60 = xF[2]/n56;
      n61 = n2/n54;
      n62 = n40/n57;
      n63 = n2*n38*xF[1]/n55;
      n64 = 1/(n48*n51);
      n65 = n46*xF[0]/n54;
      n66 = n14*n15*n23*xF[1]/n55;
      n67 = n26*n42*n61;
      n68 = n19*n26*n42/n54;
      n69 = n20*n5/(n48*n52);
      n70 = n20*n6/(n48*n53);
      n71 = n26*n65;
      n72 = n26*n66;
      n73 = n26*n45*n60;
      n74 = 0.5*n71;
      n75 = n44*n64 + 1;
      n76 = pow(n21, n8)*n30*n31*pow(n48, n8)/n53;
      n77 = pow(n21, n8)*n30*n31*pow(n48, n8)/n52;
      n78 = n2*n39*n44*n64 + n2*n39;
      n79 = n2*n38 + n2*n44*n69;
      n80 = n2*n37 + n2*n44*n70;
      n81 = pow(n78, -n0);
      n82 = pow(n79, -n0);
      n83 = pow(n80, -n0);
      n84 = n80*xF[2];
      n85 = n18*n39*n44*n64 + n18*n39;
      n86 = n44*n46*n64 + n46;
      n87 = pow(n54, n8)*n78;
      n88 = pow(n55, n8)*n79;
      n89 = n29*n82*xF[1]/n58;
      n90 = n40*pow(n54, n8)*n86;
      n91 = -n26*n40*n87;
      n92 = n18*n26*n42*pow(n54, n8)*(pow(alpha, NP0*n1 - n1*n50)*n1*n2*n44/n48 + n2*n39);
      n93 = n18*n26*n38*pow(n55, n8)*xF[1]*(pow(alpha, NP0*n1 - n5*n50)*n2*n44*n5/n48 + n2*n38);
      n94 = n18*n26*n37*pow(n56, n8)*xF[2]*(pow(alpha, NP0*n1 - n50*n6)*n2*n44*n6/n48 + n2*n37);
      n95 = 1.0*n2*n26*n42*n87;
      n96 = -n26*n90;
      n97 = -0.5*n26*n90;
      n98 = -n78*n85;
      n99 = n67 + n91;
      n100 = n14*n15*n23 + n15*n27*n77 + n35*n44*n69 + n35*n5*n77;
      n101 = n16*n27*n76 + n35*n44*n70 + n35*n6*n76 + n45;
      n102 = n26*n43*pow(n55, n8)*(pow(alpha, n1*n12 - n5*n50)*n15*pow(n21, n8)*n27*n31*pow(n48, n8) + pow(alpha, n1*n12 - n5*n50)*pow(n21, n8)*n31*n35*pow(n48, n8)*n5 + n14*n15*n23 + n35*n44*n69);
      n103 = n26*n33*pow(n56, n8)*xF[2]*(pow(alpha, n1*n12 - n50*n6)*n16*pow(n21, n8)*n27*n31*pow(n48, n8) + pow(alpha, n1*n12 - n50*n6)*pow(n21, n8)*n31*n35*pow(n48, n8)*n6 + n35*n44*n70 + n45);
      n104 = n74 + n95 + n97;
      n105 = n2*n26*n37*n60 + n26*n33*pow(n56, n8)*n84 + n26*n43*n88 + n26*n63 + n99;
      n106 = n102 + n103 + n71 + n72 + n73 + n92 + n93 + n94 + n96;
      n107 = n106 + n26*n33*n84*(n18*n37 + n18*n44*n70)/n59 + n26*n43*n79*(n18*n38 + n18*n44*n69)/n58 + n26*n62*n98;
      NP_b = -n12*(1.0*n2*n26*n42*pow(n54, n8)*(pow(alpha, NP0*n1 - n1*n50)*n1*n2*n44/n48 + n2*n39) - 0.5*n26*n40*pow(n54, n8)*(pow(alpha, NP0*n1 - n1*n50)*n13*n14*n44/n48 + n46) - 1.0*n26*n62*n81 + n74 - 0.5*xTj*(n26*n32*n8*n83*xF[2]/n59 + n26*n33*pow(n56, n8)*xF[2]*(pow(alpha, NP0*n1 - n50*n6)*n35*n44*n6/n48 + pow(alpha, n1*n12 - n50*n6)*n16*pow(n21, n8)*n27*n31*pow(n48, n8) + pow(alpha, n1*n12 - n50*n6)*pow(n21, n8)*n31*n35*pow(n48, n8)*n6 + n45) - n26*n40*pow(n54, n8)*(pow(alpha, NP0*n1 - n1*n50)*n13*n14*n44/n48 + n46) + n26*n43*pow(n55, n8)*(pow(alpha, NP0*n1 - n5*n50)*n35*n44*n5/n48 + pow(alpha, n1*n12 - n5*n50)*n15*pow(n21, n8)*n27*n31*pow(n48, n8) + pow(alpha, n1*n12 - n5*n50)*pow(n21, n8)*n31*n35*pow(n48, n8)*n5 + n14*n15*n23) + n26*n62*n8*n81 + n26*n8*n89 + n71 + n72 + n73 + n92 + n93 + n94)) - n2*n26*n39*n40*pow(n54, n8)*n75 - n26*xTj*(n2*n37*n60 + n33*pow(n56, n8)*n84 - n40*n87 + n42*n61 + n43*n88 + n63) - n68;
      NP_2a = -n26*(n0*n13*n27*n30*n62*pow(n75, -n0) + n0*n47*pow(n54, n8)*n75*xF[0] + n40*n46*pow(n54, n8)*n75 - 1.0*n65 + 1.0*xTj*(n18*n37*pow(n56, n8)*xF[2]*(pow(alpha, NP0*n1 - n50*n6)*n2*n44*n6/n48 + n2*n37) + n18*n38*pow(n55, n8)*xF[1]*(pow(alpha, NP0*n1 - n5*n50)*n2*n44*n5/n48 + n2*n38) + n18*n42*pow(n54, n8)*(pow(alpha, NP0*n1 - n1*n50)*n1*n2*n44/n48 + n2*n39) + n32*n8*n83*xF[2]/n59 + n33*pow(n56, n8)*xF[2]*(pow(alpha, n1*n12 - n50*n6)*n16*pow(n21, n8)*n27*n31*pow(n48, n8) + pow(alpha, n1*n12 - n50*n6)*pow(n21, n8)*n31*n35*pow(n48, n8)*n6 + n35*n44*n70 + n45) + n43*pow(n55, n8)*(pow(alpha, n1*n12 - n5*n50)*n15*pow(n21, n8)*n27*n31*pow(n48, n8) + pow(alpha, n1*n12 - n5*n50)*pow(n21, n8)*n31*n35*pow(n48, n8)*n5 + n14*n15*n23 + n35*n44*n69) + n45*n60 + n62*n8*n81 + n65 + n66 + n8*n89 - n90));
      NP_sqrt_base = (NP0*(n11*(n2*n26*n37*n60 + n26*n33*pow(n56, n8)*xF[2]*(pow(alpha, NP0*n1 - n50*n6)*n2*n44*n6/n48 + n2*n37) - n26*n40*pow(n54, n8)*(pow(alpha, NP0*n1 - n1*n50)*n1*n2*n44/n48 + n2*n39) + n26*n43*pow(n55, n8)*(pow(alpha, NP0*n1 - n5*n50)*n2*n44*n5/n48 + n2*n38) + n26*n63 + n67) + n99) + n26*n40/n54 + xTj*(n26*n33*n60 - n26*n40/n54 + n26*n43/n55) + pow(NP0, -n0)*(0.5*n107*xTj - 1.0*n2*n26*n42*n87 + 0.5*n26*n62*n78*n85 + 0.5*n26*n90 - 0.5*n71))*(-n0*n11*(n26*n33*pow(n56, n8)*xF[2]*(pow(alpha, NP0*n1 - n50*n6)*n35*n44*n6/n48 + pow(alpha, n1*n12 - n50*n6)*n16*pow(n21, n8)*n27*n31*pow(n48, n8) + pow(alpha, n1*n12 - n50*n6)*pow(n21, n8)*n31*n35*pow(n48, n8)*n6 + n45) + n26*n33*xF[2]*(pow(alpha, NP0*n1 - n50*n6)*n18*n44*n6/n48 + n18*n37)*(pow(alpha, NP0*n1 - n50*n6)*n2*n44*n6/n48 + n2*n37)/n59 - n26*n40*pow(n54, n8)*(pow(alpha, NP0*n1 - n1*n50)*n13*n14*n44/n48 + n46) + n26*n43*pow(n55, n8)*(pow(alpha, NP0*n1 - n5*n50)*n35*n44*n5/n48 + pow(alpha, n1*n12 - n5*n50)*n15*pow(n21, n8)*n27*n31*pow(n48, n8) + pow(alpha, n1*n12 - n5*n50)*pow(n21, n8)*n31*n35*pow(n48, n8)*n5 + n14*n15*n23) + n26*n43*(pow(alpha, NP0*n1 - n5*n50)*n18*n44*n5/n48 + n18*n38)*(pow(alpha, NP0*n1 - n5*n50)*n2*n44*n5/n48 + n2*n38)/n58 - n26*n62*(pow(alpha, NP0*n1 - n1*n50)*n1*n18*n44/n48 + n18*n39)*(pow(alpha, NP0*n1 - n1*n50)*n1*n2*n44/n48 + n2*n39) + n71 + n72 + n73 + n92 + n93 + n94) - n0*n71 - n0*n96 + 4.0*n2*n26*n42*n87 - 4.0*n26*n62*n81) + pow(-n105*xTj - n12*(1.0*n2*n26*n42*pow(n54, n8)*(pow(alpha, NP0*n1 - n1*n50)*n1*n2*n44/n48 + n2*n39) - 0.5*n26*n40*pow(n54, n8)*(pow(alpha, NP0*n1 - n1*n50)*n13*n14*n44/n48 + n46) - 0.5*n26*n62*(pow(alpha, NP0*n1 - n1*n50)*n1*n18*n44/n48 + n18*n39)*(pow(alpha, NP0*n1 - n1*n50)*n1*n2*n44/n48 + n2*n39) + n74 - 0.5*xTj*(n26*n33*pow(n56, n8)*xF[2]*(pow(alpha, NP0*n1 - n50*n6)*n35*n44*n6/n48 + pow(alpha, n1*n12 - n50*n6)*n16*pow(n21, n8)*n27*n31*pow(n48, n8) + pow(alpha, n1*n12 - n50*n6)*pow(n21, n8)*n31*n35*pow(n48, n8)*n6 + n45) + n26*n33*xF[2]*(pow(alpha, NP0*n1 - n50*n6)*n18*n44*n6/n48 + n18*n37)*(pow(alpha, NP0*n1 - n50*n6)*n2*n44*n6/n48 + n2*n37)/n59 - n26*n40*pow(n54, n8)*(pow(alpha, NP0*n1 - n1*n50)*n13*n14*n44/n48 + n46) + n26*n43*pow(n55, n8)*(pow(alpha, NP0*n1 - n5*n50)*n35*n44*n5/n48 + pow(alpha, n1*n12 - n5*n50)*n15*pow(n21, n8)*n27*n31*pow(n48, n8) + pow(alpha, n1*n12 - n5*n50)*pow(n21, n8)*n31*n35*pow(n48, n8)*n5 + n14*n15*n23) + n26*n43*(pow(alpha, NP0*n1 - n5*n50)*n18*n44*n5/n48 + n18*n38)*(pow(alpha, NP0*n1 - n5*n50)*n2*n44*n5/n48 + n2*n38)/n58 - n26*n62*(pow(alpha, NP0*n1 - n1*n50)*n1*n18*n44/n48 + n18*n39)*(pow(alpha, NP0*n1 - n1*n50)*n1*n2*n44/n48 + n2*n39) + n71 + n72 + n73 + n92 + n93 + n94)) - n26*n40*n87 - n68, -n0);
      NP_sqrt_base = fabs(NP_sqrt_base);
      NP1 = (-NP_b - sqrt(NP_sqrt_base))/NP_2a;
      NT1 = n36*(n49 - log(-pow(alpha, NP1*n1)*n44 + 1));
      g0 = MW[1] - Mstar;
      g1 = MW[0] - Mstar;
      g2 = NT1 + 1;
      g3 = xPj - xTj;
      g4 = MW[2] - Mstar;
      g5 = xF[0] - xTj;
      g6 = xF[0] - xPj;
      g7 = -xTj;
      g8 = xPj/xF[1];
      g9 = pow(alpha, -g1);
      g10 = pow(alpha, -g0);
      g11 = pow(alpha, -g4);
      g12 = log(xF[0]/xF[1]);
      g13 = -g2;
      g14 = pow(alpha, NP1*g0);
      g15 = pow(alpha, NP1*g1);
      g16 = log(g9);
      g17 = pow(alpha, NP1*g4);
      g18 = -g12;
      g19 = g3/g5;
      g20 = g5/g3;
      g21 = -g14 + 1;
      g22 = -g14 + 1;
      g23 = -g15 + 1;
      g24 = -g17 + 1;
      g25 = -g15;
      g26 = -g17;
      g27 = -1.0*g12;
      g28 = -g3/g6;
      g29 = pow(alpha, g0*g13) - 1;
      g30 = pow(alpha, g0*g13) - 1;
      g31 = pow(alpha, g1*g13) - 1;
      g32 = pow(alpha, g13*g4) - 1;
      g33 = -pow(alpha, g1*g13);
      g34 = -pow(alpha, g13*g4);
      g35 = g6*g7/(g3*xF[1]);
      g36 = g22 + g30;
      g37 = -g15 - g33;
      g38 = -g17 - g34;
      g39 = pow(alpha, g1*g13) + g25;
      g40 = g22 + g30;
      g41 = pow(alpha, g13*g4) + g26;
      g42 = xF[1]/g40;
      g43 = xF[2]/g41;
      g44 = xF[0]/g39;
      g45 = xF[2]/g38;
      g46 = xF[1]/g36;
      g47 = xF[0]/g37;
      g48 = g23/g37;
      g49 = g21/g36;
      g50 = g24/g38;
      g51 = g32/g38;
      g52 = g29/g36;
      g53 = g31/g37;
      g54 = log(g35*g40/g22);
      g55 = log(g35*g36/g21);
      g56 = log(g20*g40*g8/g30);
      g57 = 1.0*g54;
      g58 = log(g20*g36*g8/g29);
      g59 = 1.0*g56;
      g60 = -g22*g42*g57 - g27*xF[0] - g27*xF[1] - g27*xF[2] - g30*g42*g59 - g43*g57*(g26 + 1) - g43*g59*(pow(alpha, g13*g4) - 1) - g44*g57*(g25 + 1) - g44*g59*(pow(alpha, g1*g13) - 1);
      LpF = xF[0]*(g9 + 1.0)*(g18 + g48*g55 + g53*g58)/(g16*(g9 - 1.0)) + xF[1]*(g10 + 1.0)*(g18 + g49*g55 + g52*g58)/(g16*(g10 - 1.0)) + xF[2]*(g11 + 1.0)*(g18 + g50*g55 + g51*g58)/(g16*(g11 - 1.0));
      PpF = g20;
      TpF = -g6/g3;
      SWUpF = g60;
      SWUpP = g19*g60;
      xP[0] = g19*g31*g47;
      xP[1] = g19*g29*g46;
      xP[2] = g19*g32*g45;
      xT[0] = g23*g28*g47;
      xT[1] = g21*g28*g46;
      xT[2] = g24*g28*g45;
      break;
    case 4:
      n0 = -0.500000000000000;
      n1 = MW[0] - Mstar;
      n2 = log(alpha);
      n3 = xPj - xTj;
      n4 = xF[0] - xPj;
      n5 = MW[1] - Mstar;
      n6 = MW[2] - Mstar;
      n7 = MW[3] - Mstar;
      n8 = log(xTj);
      n9 = -2;
      n10 = xF[0]*xPj;
      n11 = -Mstar;
      n12 = -xF[0];
      n13 = -xPj;
      n14 = -NP0*n9;
      n15 = -xTj;
      n16 = pow(n1, -n9);
      n17 = pow(n2, -n9);
      n18 = pow(n5, -n9);
      n19 = pow(n6, -n9);
      n20 = pow(n7, -n9);
      n21 = Mstar*n2;
      n22 = -n2*n9;
      n23 = pow(alpha, NP0*n1);
      n24 = n10 + n12*xTj;
      n25 = n10 + n13*xTj;
      n26 = pow(alpha, NP0*n5);
      n27 = pow(alpha, NP0*n6);
      n28 = pow(alpha, NP0*n7);
      n29 = -MW[0]*n2;
      n30 = n3/n4;
      n31 = -n23 + 1;
      n32 = -n26 + 1;
      n33 = pow(alpha, n1*n14);
      n34 = pow(n24, -n9);
      n35 = pow(n25, -n9);
      n36 = -n27 + 1;
      n37 = -n28 + 1;
      n38 = -n36;
      n39 = -n23;
      n40 = -n26;
      n41 = 1/(n1*n2);
      n42 = n1*n17;
      n43 = n27*n6;
      n44 = n37*xF[3];
      n45 = n28*n7;
      n46 = n1*n23;
      n47 = n32*xF[1];
      n48 = n26*n5;
      n49 = n16*n17;
      n50 = log((-1.0 + xPj/xF[0])/n3);
      n51 = n25/n24;
      n52 = n17*n19*n27;
      n53 = n23*n49;
      n54 = n17*n20*n28;
      n55 = n39*n51 + 1;
      n56 = pow(n55, -n9);
      n57 = n21 + n29 + n50 + n8;
      n58 = n23*n51/n55;
      n59 = n17*n33*n35/(n34*n56);
      n60 = n41*(n57 - log(n55)) + 1;
      n61 = pow(alpha, n1*n60);
      n62 = pow(alpha, n5*n60);
      n63 = pow(alpha, n6*n60);
      n64 = pow(alpha, n60*n7);
      n65 = n5/n62;
      n66 = n7/n64;
      n67 = n6/n63;
      n68 = n31 - 1 + 1.0/n61;
      n69 = n32 - 1 + 1.0/n62;
      n70 = n36 - 1 + 1.0/n63;
      n71 = n37 - 1 + 1.0/n64;
      n72 = pow(n68, -n9);
      n73 = pow(n69, -n9);
      n74 = pow(n70, -n9);
      n75 = pow(n71, -n9);
      n76 = pow(n68, 3);
      n77 = pow(n69, 3);
      n78 = pow(n70, 3);
      n79 = pow(n71, 3);
      n80 = xF[2]/n70;
      n81 = xF[3]/n71;
      n82 = n2/n68;
      n83 = xF[0]/n72;
      n84 = n2*n81;
      n85 = n31*xF[0]/n76;
      n86 = -n44/n75;
      n87 = n2*n48*xF[1]/n69;
      n88 = n53*xF[0]/n68;
      n89 = n17*n18*n26*xF[1]/n69;
      n90 = n12*n30*n46*n82;
      n91 = n30*n88;
      n92 = n30*n89;
      n93 = n30*n52*n80;
      n94 = n30*n54*n81;
      n95 = n0*n12*n30*n53/n68;
      n96 = n51/(n55*n61) + 1;
      n97 = n31*n96;
      n98 = n2*n46*n51/(n55*n61) + n2*n46;
      n99 = n2*n48 + n2*n58*n65;
      n100 = n2*n43 + n2*n58*n67;
      n101 = n2*n45 + n2*n58*n66;
      n102 = pow(n98, -n9);
      n103 = pow(n99, -n9);
      n104 = pow(n100, -n9);
      n105 = pow(n101, -n9);
      n106 = n100*xF[2];
      n107 = n22*n46*n51/(n55*n61) + n22*n46;
      n108 = n2*n98;
      n109 = n51*n53/(n55*n61) + n53;
      n110 = n103/n77;
      n111 = n105*n9/n79;
      n112 = n30*n31*n83*n98;
      n113 = n12*n2*n30*n46*n9*(pow(alpha, NP0*n1 - n1*n60)*n1*n2*n51/n55 + n2*n46)/n72;
      n114 = n22*n30*n48*xF[1]*(pow(alpha, NP0*n1 - n5*n60)*n2*n5*n51/n55 + n2*n48)/n73;
      n115 = n22*n30*n43*xF[2]*(pow(alpha, NP0*n1 - n6*n60)*n2*n51*n6/n55 + n2*n43)/n74;
      n116 = n22*n30*n45*xF[3]*(pow(alpha, NP0*n1 - n60*n7)*n2*n51*n7/n55 + n2*n45)/n75;
      n117 = 1.0*n108*n30*n46*n83;
      n118 = n12*n30*n31*(pow(alpha, NP0*n1 - n1*n60)*n49*n51/n55 + n53)/n72;
      n119 = n0*n109*n30*n31*n83;
      n120 = n17*n18*n26 - n18*n59/n62 + n33*n35*n42*n65/(n34*n56) + n42*n58*n65;
      n121 = -n19*n59/n63 + n33*n35*n42*n67/(n34*n56) + n42*n58*n67 + n52;
      n122 = -n30*n47*(-pow(alpha, n1*n14 - n5*n60)*n17*n18*n35/(n34*n56) + pow(alpha, n1*n14 - n5*n60)*n35*n42*n5/(n34*n56) + n17*n18*n26 + n42*n58*n65)/n73;
      n123 = n30*n38*xF[2]*(-pow(alpha, n1*n14 - n6*n60)*n17*n19*n35/(n34*n56) + pow(alpha, n1*n14 - n6*n60)*n35*n42*n6/(n34*n56) + n42*n58*n67 + n52)/n74;
      n124 = n30*n86*(-pow(alpha, n1*n14 - n60*n7)*n17*n20*n35/(n34*n56) + pow(alpha, n1*n14 - n60*n7)*n35*n42*n7/(n34*n56) + n42*n58*n66 + n54);
      n125 = xTj*(n101*n30*n86 + n106*n30*n38/n74 + n12*n30*n31*(pow(alpha, NP0*n1 - n1*n60)*n1*n2*n51/n55 + n2*n46)/n72 + n2*n30*n43*n80 + n30*n45*n84 + n30*n46*n82*xF[0] - n30*n47*n99/n73 + n30*n87);
      n126 = n112 + n125 + n90;
      n127 = n113 + n114 + n115 + n116 + n118 + n122 + n123 + n124 + n91 + n92 + n93 + n94;
      n128 = -n101*n30*n44*(n22*n45 + n22*n58*n66)/n79 + n106*n30*n38*(n22*n43 + n22*n58*n67)/n78 + n12*n30*n31*(pow(alpha, NP0*n1 - n1*n60)*n1*n2*n51/n55 + n2*n46)*(pow(alpha, NP0*n1 - n1*n60)*n1*n22*n51/n55 + n22*n46)/n76 + n127 - n30*n47*n99*(n22*n48 + n22*n58*n65)/n77;
      NP_b = -n14*(n0*n30*n31*n83*(pow(alpha, NP0*n1 - n1*n60)*n49*n51/n55 + n53) + n0*xTj*(n102*n30*n85*n9 + n104*n30*n36*n9*xF[2]/n78 + n110*n30*n47*n9 + n111*n30*n44 + n113 + n114 + n115 + n116 + n118 + n30*n38*xF[2]*(pow(alpha, NP0*n1 - n6*n60)*n42*n51*n6/n55 - pow(alpha, n1*n14 - n6*n60)*n17*n19*n35/(n34*n56) + pow(alpha, n1*n14 - n6*n60)*n35*n42*n6/(n34*n56) + n52)/n74 - n30*n47*(pow(alpha, NP0*n1 - n5*n60)*n42*n5*n51/n55 - pow(alpha, n1*n14 - n5*n60)*n17*n18*n35/(n34*n56) + pow(alpha, n1*n14 - n5*n60)*n35*n42*n5/(n34*n56) + n17*n18*n26)/n73 + n30*n86*(pow(alpha, NP0*n1 - n60*n7)*n42*n51*n7/n55 - pow(alpha, n1*n14 - n60*n7)*n17*n20*n35/(n34*n56) + pow(alpha, n1*n14 - n60*n7)*n35*n42*n7/(n34*n56) + n54) + n91 + n92 + n93 + n94) - 1.0*n102*n30*n85 + 1.0*n2*n30*n46*n83*(pow(alpha, NP0*n1 - n1*n60)*n1*n2*n51/n55 + n2*n46) + n95) - n2*n30*n46*n83*n97 - n30*xTj*(n101*n86 + n106*n38/n74 + n12*n31*(pow(alpha, NP0*n1 - n1*n60)*n1*n2*n51/n55 + n2*n46)/n72 + n2*n43*n80 + n45*n84 + n46*n82*xF[0] - n47*n99/n73 + n87) - n90;
      NP_2a = -n30*(n12*n31*n33*n49*n9*pow(n96, -n9)/n76 - 2.0*n33*n49*n83*n96 + n53*n83*n97 - 1.0*n88 + 1.0*xTj*(n102*n85*n9 + n104*n36*n9*xF[2]/n78 + n110*n47*n9 + n111*n44 + n12*n2*n46*n9*(pow(alpha, NP0*n1 - n1*n60)*n1*n2*n51/n55 + n2*n46)/n72 + n12*n31*(pow(alpha, NP0*n1 - n1*n60)*n49*n51/n55 + n53)/n72 + n22*n43*xF[2]*(pow(alpha, NP0*n1 - n6*n60)*n2*n51*n6/n55 + n2*n43)/n74 + n22*n45*xF[3]*(pow(alpha, NP0*n1 - n60*n7)*n2*n51*n7/n55 + n2*n45)/n75 + n22*n48*xF[1]*(pow(alpha, NP0*n1 - n5*n60)*n2*n5*n51/n55 + n2*n48)/n73 + n38*xF[2]*(-pow(alpha, n1*n14 - n6*n60)*n17*n19*n35/(n34*n56) + pow(alpha, n1*n14 - n6*n60)*n35*n42*n6/(n34*n56) + n42*n58*n67 + n52)/n74 - n47*(-pow(alpha, n1*n14 - n5*n60)*n17*n18*n35/(n34*n56) + pow(alpha, n1*n14 - n5*n60)*n35*n42*n5/(n34*n56) + n17*n18*n26 + n42*n58*n65)/n73 + n52*n80 + n54*n81 + n86*(-pow(alpha, n1*n14 - n60*n7)*n17*n20*n35/(n34*n56) + pow(alpha, n1*n14 - n60*n7)*n35*n42*n7/(n34*n56) + n42*n58*n66 + n54) + n88 + n89));
      NP_sqrt_base = (-NP0*n126 - n12*n30*n31/(n31 - 1 + pow(alpha, -n1*(n41*(n57 - log(n25*n39/(n10 + n15*xF[0]) + 1)) + 1))) - n15*(-n30*n31*xF[0]/n68 - n30*n36*n80 - n30*n44/n71 - n30*n47/n69) - pow(NP0, -n9)*(-n0*n118 - n0*n12*n30*n31*(pow(alpha, NP0*n1 - n1*n60)*n1*n2*n51/n55 + n2*n46)*(pow(alpha, NP0*n1 - n1*n60)*n1*n22*n51/n55 + n22*n46)/n76 - n0*n15*(n113 + n114 + n115 + n116 + n118 + n12*n30*n31*(pow(alpha, NP0*n1 - n1*n60)*n1*n2*n51/n55 + n2*n46)*(pow(alpha, NP0*n1 - n1*n60)*n1*n22*n51/n55 + n22*n46)/n76 + n30*n38*xF[2]*(pow(alpha, NP0*n1 - n6*n60)*n2*n51*n6/n55 + n2*n43)*(pow(alpha, NP0*n1 - n6*n60)*n22*n51*n6/n55 + n22*n43)/n78 + n30*n38*xF[2]*(pow(alpha, NP0*n1 - n6*n60)*n42*n51*n6/n55 - pow(alpha, n1*n14 - n6*n60)*n17*n19*n35/(n34*n56) + pow(alpha, n1*n14 - n6*n60)*n35*n42*n6/(n34*n56) + n52)/n74 - n30*n44*(pow(alpha, NP0*n1 - n60*n7)*n2*n51*n7/n55 + n2*n45)*(pow(alpha, NP0*n1 - n60*n7)*n22*n51*n7/n55 + n22*n45)/n79 - n30*n47*(pow(alpha, NP0*n1 - n5*n60)*n2*n5*n51/n55 + n2*n48)*(pow(alpha, NP0*n1 - n5*n60)*n22*n5*n51/n55 + n22*n48)/n77 - n30*n47*(pow(alpha, NP0*n1 - n5*n60)*n42*n5*n51/n55 - pow(alpha, n1*n14 - n5*n60)*n17*n18*n35/(n34*n56) + pow(alpha, n1*n14 - n5*n60)*n35*n42*n5/(n34*n56) + n17*n18*n26)/n73 + n30*n86*(pow(alpha, NP0*n1 - n60*n7)*n42*n51*n7/n55 - pow(alpha, n1*n14 - n60*n7)*n17*n20*n35/(n34*n56) + pow(alpha, n1*n14 - n60*n7)*n35*n42*n7/(n34*n56) + n54) + n91 + n92 + n93 + n94) - n0*n91 + 1.0*n108*n30*n46*n83))*(-4.0*n102*n30*n85 + 4.0*n108*n30*n46*n83 - n118*n9 - n15*n9*(n113 + n114 + n115 + n116 + n118 + n12*n30*n31*(pow(alpha, NP0*n1 - n1*n60)*n1*n2*n51/n55 + n2*n46)*(pow(alpha, NP0*n1 - n1*n60)*n1*n22*n51/n55 + n22*n46)/n76 + n30*n38*xF[2]*(pow(alpha, NP0*n1 - n6*n60)*n2*n51*n6/n55 + n2*n43)*(pow(alpha, NP0*n1 - n6*n60)*n22*n51*n6/n55 + n22*n43)/n78 + n30*n38*xF[2]*(pow(alpha, NP0*n1 - n6*n60)*n42*n51*n6/n55 - pow(alpha, n1*n14 - n6*n60)*n17*n19*n35/(n34*n56) + pow(alpha, n1*n14 - n6*n60)*n35*n42*n6/(n34*n56) + n52)/n74 - n30*n44*(pow(alpha, NP0*n1 - n60*n7)*n2*n51*n7/n55 + n2*n45)*(pow(alpha, NP0*n1 - n60*n7)*n22*n51*n7/n55 + n22*n45)/n79 - n30*n47*(pow(alpha, NP0*n1 - n5*n60)*n2*n5*n51/n55 + n2*n48)*(pow(alpha, NP0*n1 - n5*n60)*n22*n5*n51/n55 + n22*n48)/n77 - n30*n47*(pow(alpha, NP0*n1 - n5*n60)*n42*n5*n51/n55 - pow(alpha, n1*n14 - n5*n60)*n17*n18*n35/(n34*n56) + pow(alpha, n1*n14 - n5*n60)*n35*n42*n5/(n34*n56) + n17*n18*n26)/n73 + n30*n86*(pow(alpha, NP0*n1 - n60*n7)*n42*n51*n7/n55 - pow(alpha, n1*n14 - n60*n7)*n17*n20*n35/(n34*n56) + pow(alpha, n1*n14 - n60*n7)*n35*n42*n7/(n34*n56) + n54) + n91 + n92 + n93 + n94) + 2.0*n91) + pow(-n126 - n14*(n0*n30*n31*n83*(pow(alpha, NP0*n1 - n1*n60)*n49*n51/n55 + n53) + n0*n30*n85*(pow(alpha, NP0*n1 - n1*n60)*n1*n2*n51/n55 + n2*n46)*(pow(alpha, NP0*n1 - n1*n60)*n1*n22*n51/n55 + n22*n46) + n0*xTj*(n113 + n114 + n115 + n116 + n118 + n12*n30*n31*(pow(alpha, NP0*n1 - n1*n60)*n1*n2*n51/n55 + n2*n46)*(pow(alpha, NP0*n1 - n1*n60)*n1*n22*n51/n55 + n22*n46)/n76 + n30*n38*xF[2]*(pow(alpha, NP0*n1 - n6*n60)*n2*n51*n6/n55 + n2*n43)*(pow(alpha, NP0*n1 - n6*n60)*n22*n51*n6/n55 + n22*n43)/n78 + n30*n38*xF[2]*(pow(alpha, NP0*n1 - n6*n60)*n42*n51*n6/n55 - pow(alpha, n1*n14 - n6*n60)*n17*n19*n35/(n34*n56) + pow(alpha, n1*n14 - n6*n60)*n35*n42*n6/(n34*n56) + n52)/n74 - n30*n44*(pow(alpha, NP0*n1 - n60*n7)*n2*n51*n7/n55 + n2*n45)*(pow(alpha, NP0*n1 - n60*n7)*n22*n51*n7/n55 + n22*n45)/n79 - n30*n47*(pow(alpha, NP0*n1 - n5*n60)*n2*n5*n51/n55 + n2*n48)*(pow(alpha, NP0*n1 - n5*n60)*n22*n5*n51/n55 + n22*n48)/n77 - n30*n47*(pow(alpha, NP0*n1 - n5*n60)*n42*n5*n51/n55 - pow(alpha, n1*n14 - n5*n60)*n17*n18*n35/(n34*n56) + pow(alpha, n1*n14 - n5*n60)*n35*n42*n5/(n34*n56) + n17*n18*n26)/n73 + n30*n86*(pow(alpha, NP0*n1 - n60*n7)*n42*n51*n7/n55 - pow(alpha, n1*n14 - n60*n7)*n17*n20*n35/(n34*n56) + pow(alpha, n1*n14 - n60*n7)*n35*n42*n7/(n34*n56) + n54) + n91 + n92 + n93 + n94) + 1.0*n2*n30*n46*n83*(pow(alpha, NP0*n1 - n1*n60)*n1*n2*n51/n55 + n2*n46) + n95), -n9);
      NP_sqrt_base = fabs(NP_sqrt_base);
      NP1 = (-NP_b - pow(NP_sqrt_base, -n0))/NP_2a;
      NT1 = n41*(n57 - log(-pow(alpha, NP1*n1)*n51 + 1));
      g0 = MW[1] - Mstar;
      g1 = MW[0] - Mstar;
      g2 = NT1 + 1;
      g3 = xPj - xTj;
      g4 = MW[2] - Mstar;
      g5 = MW[3] - Mstar;
      g6 = xF[0] - xTj;
      g7 = xF[0] - xPj;
      g8 = -xTj;
      g9 = xPj/xF[1];
      g10 = pow(alpha, -g1);
      g11 = pow(alpha, -g0);
      g12 = pow(alpha, -g4);
      g13 = pow(alpha, -g5);
      g14 = log(xF[0]/xF[1]);
      g15 = -g2;
      g16 = pow(alpha, NP1*g0);
      g17 = pow(alpha, NP1*g1);
      g18 = log(g10);
      g19 = pow(alpha, NP1*g4);
      g20 = pow(alpha, NP1*g5);
      g21 = -g14;
      g22 = g3/g6;
      g23 = g6/g3;
      g24 = -g16 + 1;
      g25 = -g16 + 1;
      g26 = -g17 + 1;
      g27 = -g19 + 1;
      g28 = -g20 + 1;
      g29 = -g17;
      g30 = -g19;
      g31 = -g20;
      g32 = -1.0*g14;
      g33 = -g3/g7;
      g34 = pow(alpha, g0*g15) - 1;
      g35 = pow(alpha, g0*g15) - 1;
      g36 = pow(alpha, g1*g15) - 1;
      g37 = pow(alpha, g15*g4) - 1;
      g38 = pow(alpha, g15*g5) - 1;
      g39 = -pow(alpha, g1*g15);
      g40 = -pow(alpha, g15*g4);
      g41 = -pow(alpha, g15*g5);
      g42 = g7*g8/(g3*xF[1]);
      g43 = g25 + g35;
      g44 = -g17 - g39;
      g45 = -g19 - g40;
      g46 = -g20 - g41;
      g47 = pow(alpha, g1*g15) + g29;
      g48 = g25 + g35;
      g49 = pow(alpha, g15*g4) + g30;
      g50 = pow(alpha, g15*g5) + g31;
      g51 = xF[0]/g47;
      g52 = xF[1]/g48;
      g53 = xF[3]/g50;
      g54 = xF[2]/g49;
      g55 = xF[1]/g43;
      g56 = xF[0]/g44;
      g57 = xF[3]/g46;
      g58 = xF[2]/g45;
      g59 = g26/g44;
      g60 = g28/g46;
      g61 = g24/g43;
      g62 = g27/g45;
      g63 = g34/g43;
      g64 = g37/g45;
      g65 = g36/g44;
      g66 = g38/g46;
      g67 = log(g42*g48/g25);
      g68 = log(g42*g43/g24);
      g69 = log(g23*g48*g9/g35);
      g70 = 1.0*g67;
      g71 = log(g23*g43*g9/g34);
      g72 = 1.0*g69;
      g73 = -g25*g52*g70 - g32*xF[0] - g32*xF[1] - g32*xF[2] - g32*xF[3] - g35*g52*g72 - g51*g70*(g29 + 1) - g51*g72*(pow(alpha, g1*g15) - 1) - g53*g70*(g31 + 1) - g53*g72*(pow(alpha, g15*g5) - 1) - g54*g70*(g30 + 1) - g54*g72*(pow(alpha, g15*g4) - 1);
      LpF = xF[0]*(g10 + 1.0)*(g21 + g59*g68 + g65*g71)/(g18*(g10 - 1.0)) + xF[1]*(g11 + 1.0)*(g21 + g61*g68 + g63*g71)/(g18*(g11 - 1.0)) + xF[2]*(g12 + 1.0)*(g21 + g62*g68 + g64*g71)/(g18*(g12 - 1.0)) + xF[3]*(g13 + 1.0)*(g21 + g60*g68 + g66*g71)/(g18*(g13 - 1.0));
      PpF = g23;
      TpF = -g7/g3;
      SWUpF = g73;
      SWUpP = g22*g73;
      xP[0] = g22*g36*g56;
      xP[1] = g22*g34*g55;
      xP[2] = g22*g37*g58;
      xP[3] = g22*g38*g57;
      xT[0] = g26*g33*g56;
      xT[1] = g24*g33*g55;
      xT[2] = g27*g33*g58;
      xT[3] = g28*g33*g57;
      break;
    case 5:
      n0 = MW[0] - Mstar;
      n1 = log(alpha);
      n2 = xPj - xTj;
      n3 = xF[0] - xPj;
      n4 = MW[1] - Mstar;
      n5 = MW[2] - Mstar;
      n6 = MW[3] - Mstar;
      n7 = MW[4] - Mstar;
      n8 = log(xTj);
      n9 = xF[0]*xPj;
      n10 = -Mstar;
      n11 = 2*NP0;
      n12 = -xPj;
      n13 = -xF[0];
      n14 = -xTj;
      n15 = pow(n0, 2);
      n16 = pow(n1, 2);
      n17 = pow(n4, 2);
      n18 = pow(n5, 2);
      n19 = pow(n6, 2);
      n20 = pow(n7, 2);
      n21 = Mstar*n1;
      n22 = 2*n1;
      n23 = pow(alpha, NP0*n0);
      n24 = n13*xTj + n9;
      n25 = n12*xTj + n9;
      n26 = pow(alpha, NP0*n4);
      n27 = pow(alpha, NP0*n5);
      n28 = pow(alpha, NP0*n6);
      n29 = pow(alpha, NP0*n7);
      n30 = -MW[0]*n1;
      n31 = n2/n3;
      n32 = -n23 + 1;
      n33 = -n26 + 1;
      n34 = pow(alpha, n0*n11);
      n35 = pow(n24, 2);
      n36 = pow(n25, 2);
      n37 = -n27 + 1;
      n38 = -n28 + 1;
      n39 = -n29 + 1;
      n40 = -n37;
      n41 = -n38;
      n42 = -n23;
      n43 = 1/(n0*n1);
      n44 = n0*n16;
      n45 = n27*n5;
      n46 = n28*n6;
      n47 = n29*n7;
      n48 = n0*n23;
      n49 = n26*n4;
      n50 = n15*n16;
      n51 = log((-1.0 + xPj/xF[0])/n2);
      n52 = -n33*xF[1];
      n53 = -n39*xF[4];
      n54 = n25/n24;
      n55 = n16*n18*n27;
      n56 = n16*n20*n29;
      n57 = n23*n50;
      n58 = n16*n19*n28;
      n59 = n42*n54 + 1;
      n60 = pow(n59, 2);
      n61 = n21 + n30 + n51 + n8;
      n62 = n23*n54/n59;
      n63 = n16*n34*n36/(n35*n60);
      n64 = n43*(n61 - log(n59)) + 1;
      n65 = pow(alpha, n0*n64);
      n66 = pow(alpha, n4*n64);
      n67 = pow(alpha, n5*n64);
      n68 = pow(alpha, n6*n64);
      n69 = pow(alpha, n64*n7);
      n70 = n4/n66;
      n71 = n7/n69;
      n72 = n6/n68;
      n73 = n5/n67;
      n74 = n32 - 1 + 1.0/n65;
      n75 = n33 - 1 + 1.0/n66;
      n76 = n37 - 1 + 1.0/n67;
      n77 = n38 - 1 + 1.0/n68;
      n78 = n39 - 1 + 1.0/n69;
      n79 = pow(n74, 2);
      n80 = pow(n75, 2);
      n81 = pow(n76, 2);
      n82 = pow(n77, 2);
      n83 = pow(n78, 2);
      n84 = pow(n74, 3);
      n85 = pow(n75, 3);
      n86 = pow(n76, 3);
      n87 = pow(n77, 3);
      n88 = pow(n78, 3);
      n89 = xF[2]/n76;
      n90 = xF[4]/n78;
      n91 = xF[3]/n77;
      n92 = n1/n74;
      n93 = xF[0]/n79;
      n94 = n1*n91;
      n95 = n32/n74;
      n96 = n32*xF[0]/n84;
      n97 = n41*xF[3]/n82;
      n98 = n1*n49*xF[1]/n75;
      n99 = n57*xF[0]/n74;
      n100 = n16*n17*n26*xF[1]/n75;
      n101 = n31*n48*n92*xF[0];
      n102 = n13*n31*n48*n92;
      n103 = n31*n99;
      n104 = n100*n31;
      n105 = n31*n55*n89;
      n106 = n31*n58*n91;
      n107 = n31*n56*n90;
      n108 = 0.5*n103;
      n109 = n54/(n59*n65) + 1;
      n110 = n109*n32;
      n111 = n1*n48*n54/(n59*n65) + n1*n48;
      n112 = n1*n49 + n1*n62*n70;
      n113 = n1*n45 + n1*n62*n73;
      n114 = n1*n46 + n1*n62*n72;
      n115 = n1*n47 + n1*n62*n71;
      n116 = pow(n111, 2);
      n117 = pow(n112, 2);
      n118 = pow(n113, 2);
      n119 = pow(n114, 2);
      n120 = pow(n115, 2);
      n121 = n113*xF[2];
      n122 = n114*xF[3];
      n123 = n22*n48*n54/(n59*n65) + n22*n48;
      n124 = n1*n111;
      n125 = -2*n116;
      n126 = n54*n57/(n59*n65) + n57;
      n127 = n111*n32;
      n128 = n115*n53;
      n129 = n112/n80;
      n130 = 2*n120/n88;
      n131 = 2*n117/n85;
      n132 = 2*n118*xF[2]/n86;
      n133 = -2*n119*n38*xF[3]/n87;
      n134 = n13*n31*n32*(pow(alpha, NP0*n0 - n0*n64)*n0*n1*n54/n59 + n1*n48)/n79;
      n135 = n22*n31*n48*n93*(pow(alpha, NP0*n0 - n0*n64)*n0*n1*n54/n59 + n1*n48);
      n136 = n22*n31*n49*xF[1]*(pow(alpha, NP0*n0 - n4*n64)*n1*n4*n54/n59 + n1*n49)/n80;
      n137 = n22*n31*n45*xF[2]*(pow(alpha, NP0*n0 - n5*n64)*n1*n5*n54/n59 + n1*n45)/n81;
      n138 = n22*n31*n46*xF[3]*(pow(alpha, NP0*n0 - n6*n64)*n1*n54*n6/n59 + n1*n46)/n82;
      n139 = n22*n31*n47*xF[4]*(pow(alpha, NP0*n0 - n64*n7)*n1*n54*n7/n59 + n1*n47)/n83;
      n140 = 1.0*n124*n31*n48*n93;
      n141 = n13*n31*n32*(pow(alpha, NP0*n0 - n0*n64)*n50*n54/n59 + n57)/n79;
      n142 = -0.5*n126*n31*n32*n93;
      n143 = n101 + n134;
      n144 = n16*n17*n26 - n17*n63/n66 + n34*n36*n44*n70/(n35*n60) + n44*n62*n70;
      n145 = -n18*n63/n67 + n34*n36*n44*n73/(n35*n60) + n44*n62*n73 + n55;
      n146 = -n20*n63/n69 + n34*n36*n44*n71/(n35*n60) + n44*n62*n71 + n56;
      n147 = n31*n52*(-pow(alpha, n0*n11 - n4*n64)*n16*n17*n36/(n35*n60) + pow(alpha, n0*n11 - n4*n64)*n36*n4*n44/(n35*n60) + n16*n17*n26 + n44*n62*n70)/n80;
      n148 = n31*n40*xF[2]*(-pow(alpha, n0*n11 - n5*n64)*n16*n18*n36/(n35*n60) + pow(alpha, n0*n11 - n5*n64)*n36*n44*n5/(n35*n60) + n44*n62*n73 + n55)/n81;
      n149 = n31*n97*(-pow(alpha, n0*n11 - n6*n64)*n16*n19*n36/(n35*n60) + pow(alpha, n0*n11 - n6*n64)*n36*n44*n6/(n35*n60) + n44*n62*n72 + n58);
      n150 = n31*n53*(-pow(alpha, n0*n11 - n64*n7)*n16*n20*n36/(n35*n60) + pow(alpha, n0*n11 - n64*n7)*n36*n44*n7/(n35*n60) + n44*n62*n71 + n56)/n83;
      n151 = n108 + n140 + n142;
      n152 = n1*n31*n45*n89 + n1*n31*n47*n90 + n114*n31*n97 + n121*n31*n40/n81 + n128*n31/n83 + n129*n31*n52 + n143 + n31*n46*n94 + n31*n98;
      n153 = n152*xTj;
      n154 = n103 + n104 + n105 + n106 + n107 + n135 + n136 + n137 + n138 + n139 + n141 + n147 + n148 + n149 + n150;
      n155 = n112*n31*n52*(n22*n49 + n22*n62*n70)/n85 + n121*n31*n40*(n22*n45 + n22*n62*n73)/n86 + n122*n31*n41*(n22*n46 + n22*n62*n72)/n87 + n128*n31*(n22*n47 + n22*n62*n71)/n88 + n13*n31*n32*(pow(alpha, NP0*n0 - n0*n64)*n0*n1*n54/n59 + n1*n48)*(pow(alpha, NP0*n0 - n0*n64)*n0*n22*n54/n59 + n22*n48)/n84 + n154;
      n156 = n155*xTj;
      n157 = -0.5*n111*n123*n31*n96 + n151 - 0.5*n156;
      NP_b = -n1*n110*n31*n48*n93 - n102 - n11*(1.0*n1*n31*n48*n93*(pow(alpha, NP0*n0 - n0*n64)*n0*n1*n54/n59 + n1*n48) + n108 - 1.0*n116*n31*n96 - 0.5*n31*n32*n93*(pow(alpha, NP0*n0 - n0*n64)*n50*n54/n59 + n57) - 0.5*xTj*(n103 + n104 + n105 + n106 + n107 + n125*n31*n96 - n130*n31*n39*xF[4] - n131*n31*n33*xF[1] - n132*n31*n37 + n133*n31 + n135 + n136 + n137 + n138 + n139 + n141 + n31*n40*xF[2]*(pow(alpha, NP0*n0 - n5*n64)*n44*n5*n54/n59 - pow(alpha, n0*n11 - n5*n64)*n16*n18*n36/(n35*n60) + pow(alpha, n0*n11 - n5*n64)*n36*n44*n5/(n35*n60) + n55)/n81 + n31*n52*(pow(alpha, NP0*n0 - n4*n64)*n4*n44*n54/n59 - pow(alpha, n0*n11 - n4*n64)*n16*n17*n36/(n35*n60) + pow(alpha, n0*n11 - n4*n64)*n36*n4*n44/(n35*n60) + n16*n17*n26)/n80 + n31*n53*(pow(alpha, NP0*n0 - n64*n7)*n44*n54*n7/n59 - pow(alpha, n0*n11 - n64*n7)*n16*n20*n36/(n35*n60) + pow(alpha, n0*n11 - n64*n7)*n36*n44*n7/(n35*n60) + n56)/n83 + n31*n97*(pow(alpha, NP0*n0 - n6*n64)*n44*n54*n6/n59 - pow(alpha, n0*n11 - n6*n64)*n16*n19*n36/(n35*n60) + pow(alpha, n0*n11 - n6*n64)*n36*n44*n6/(n35*n60) + n58))) - n31*xTj*(n1*n45*n89 + n1*n47*n90 + n114*n97 + n121*n40/n81 + n128/n83 + n129*n52 + n13*n32*(pow(alpha, NP0*n0 - n0*n64)*n0*n1*n54/n59 + n1*n48)/n79 + n46*n94 + n48*n92*xF[0] + n98);
      NP_2a = -n31*(2*pow(n109, 2)*n34*n50*n96 - 2.0*n109*n34*n50*n93 + n110*n57*n93 - 1.0*n99 + 1.0*xTj*(n100 + n125*n96 + n13*n32*(pow(alpha, NP0*n0 - n0*n64)*n50*n54/n59 + n57)/n79 - n130*n39*xF[4] - n131*n33*xF[1] - n132*n37 + n133 + n22*n45*xF[2]*(pow(alpha, NP0*n0 - n5*n64)*n1*n5*n54/n59 + n1*n45)/n81 + n22*n46*xF[3]*(pow(alpha, NP0*n0 - n6*n64)*n1*n54*n6/n59 + n1*n46)/n82 + n22*n47*xF[4]*(pow(alpha, NP0*n0 - n64*n7)*n1*n54*n7/n59 + n1*n47)/n83 + n22*n48*n93*(pow(alpha, NP0*n0 - n0*n64)*n0*n1*n54/n59 + n1*n48) + n22*n49*xF[1]*(pow(alpha, NP0*n0 - n4*n64)*n1*n4*n54/n59 + n1*n49)/n80 + n40*xF[2]*(-pow(alpha, n0*n11 - n5*n64)*n16*n18*n36/(n35*n60) + pow(alpha, n0*n11 - n5*n64)*n36*n44*n5/(n35*n60) + n44*n62*n73 + n55)/n81 + n52*(-pow(alpha, n0*n11 - n4*n64)*n16*n17*n36/(n35*n60) + pow(alpha, n0*n11 - n4*n64)*n36*n4*n44/(n35*n60) + n16*n17*n26 + n44*n62*n70)/n80 + n53*(-pow(alpha, n0*n11 - n64*n7)*n16*n20*n36/(n35*n60) + pow(alpha, n0*n11 - n64*n7)*n36*n44*n7/(n35*n60) + n44*n62*n71 + n56)/n83 + n55*n89 + n56*n90 + n58*n91 + n97*(-pow(alpha, n0*n11 - n6*n64)*n16*n19*n36/(n35*n60) + pow(alpha, n0*n11 - n6*n64)*n36*n44*n6/(n35*n60) + n44*n62*n72 + n58) + n99));
      NP_sqrt_base = pow(-n102 - n11*(1.0*n1*n31*n48*n93*(pow(alpha, NP0*n0 - n0*n64)*n0*n1*n54/n59 + n1*n48) + n108 - 0.5*n31*n32*n93*(pow(alpha, NP0*n0 - n0*n64)*n50*n54/n59 + n57) - 0.5*n31*n96*(pow(alpha, NP0*n0 - n0*n64)*n0*n1*n54/n59 + n1*n48)*(pow(alpha, NP0*n0 - n0*n64)*n0*n22*n54/n59 + n22*n48) - 0.5*xTj*(n103 + n104 + n105 + n106 + n107 + n13*n31*n32*(pow(alpha, NP0*n0 - n0*n64)*n0*n1*n54/n59 + n1*n48)*(pow(alpha, NP0*n0 - n0*n64)*n0*n22*n54/n59 + n22*n48)/n84 + n135 + n136 + n137 + n138 + n139 + n141 + n31*n40*xF[2]*(pow(alpha, NP0*n0 - n5*n64)*n1*n5*n54/n59 + n1*n45)*(pow(alpha, NP0*n0 - n5*n64)*n22*n5*n54/n59 + n22*n45)/n86 + n31*n40*xF[2]*(pow(alpha, NP0*n0 - n5*n64)*n44*n5*n54/n59 - pow(alpha, n0*n11 - n5*n64)*n16*n18*n36/(n35*n60) + pow(alpha, n0*n11 - n5*n64)*n36*n44*n5/(n35*n60) + n55)/n81 + n31*n41*xF[3]*(pow(alpha, NP0*n0 - n6*n64)*n1*n54*n6/n59 + n1*n46)*(pow(alpha, NP0*n0 - n6*n64)*n22*n54*n6/n59 + n22*n46)/n87 + n31*n52*(pow(alpha, NP0*n0 - n4*n64)*n1*n4*n54/n59 + n1*n49)*(pow(alpha, NP0*n0 - n4*n64)*n22*n4*n54/n59 + n22*n49)/n85 + n31*n52*(pow(alpha, NP0*n0 - n4*n64)*n4*n44*n54/n59 - pow(alpha, n0*n11 - n4*n64)*n16*n17*n36/(n35*n60) + pow(alpha, n0*n11 - n4*n64)*n36*n4*n44/(n35*n60) + n16*n17*n26)/n80 + n31*n53*(pow(alpha, NP0*n0 - n64*n7)*n1*n54*n7/n59 + n1*n47)*(pow(alpha, NP0*n0 - n64*n7)*n22*n54*n7/n59 + n22*n47)/n88 + n31*n53*(pow(alpha, NP0*n0 - n64*n7)*n44*n54*n7/n59 - pow(alpha, n0*n11 - n64*n7)*n16*n20*n36/(n35*n60) + pow(alpha, n0*n11 - n64*n7)*n36*n44*n7/(n35*n60) + n56)/n83 + n31*n97*(pow(alpha, NP0*n0 - n6*n64)*n44*n54*n6/n59 - pow(alpha, n0*n11 - n6*n64)*n16*n19*n36/(n35*n60) + pow(alpha, n0*n11 - n6*n64)*n36*n44*n6/(n35*n60) + n58))) - n127*n31*n93 - n153, 2) + (-pow(NP0, 2)*n157 + NP0*(n14*(n1*n31*n45*n89 + n1*n31*n47*n90 + n143 + n31*n40*xF[2]*(pow(alpha, NP0*n0 - n5*n64)*n1*n5*n54/n59 + n1*n45)/n81 + n31*n46*n94 + n31*n52*(pow(alpha, NP0*n0 - n4*n64)*n1*n4*n54/n59 + n1*n49)/n80 + n31*n53*(pow(alpha, NP0*n0 - n64*n7)*n1*n54*n7/n59 + n1*n47)/n83 + n31*n97*(pow(alpha, NP0*n0 - n6*n64)*n1*n54*n6/n59 + n1*n46) + n31*n98) + n143) + n31*n95*xF[0] + xTj*(n13*n31*n95 + n31*n40*n89 + n31*n41*n91 + n31*n52/n75 + n31*n53/n78))*(2.0*n103 - 4.0*n116*n31*n96 + 4.0*n124*n31*n48*n93 - 2.0*n126*n31*n32*n93 - 2.0*n156);
      NP_sqrt_base = fabs(NP_sqrt_base);
      NP1 = (-NP_b - sqrt(NP_sqrt_base))/NP_2a;
      NT1 = n43*(n61 - log(-pow(alpha, NP1*n0)*n54 + 1));
      g0 = MW[1] - Mstar;
      g1 = MW[0] - Mstar;
      g2 = NT1 + 1;
      g3 = xPj - xTj;
      g4 = MW[2] - Mstar;
      g5 = MW[3] - Mstar;
      g6 = MW[4] - Mstar;
      g7 = xF[0] - xTj;
      g8 = xF[0] - xPj;
      g9 = -xTj;
      g10 = 1.0*xF[4];
      g11 = 1.0*xF[3];
      g12 = 1.0*xF[0];
      g13 = xPj/xF[1];
      g14 = pow(alpha, -g1);
      g15 = pow(alpha, -g0);
      g16 = pow(alpha, -g4);
      g17 = pow(alpha, -g5);
      g18 = pow(alpha, -g6);
      g19 = log(xF[0]/xF[1]);
      g20 = -g2;
      g21 = pow(alpha, NP1*g0);
      g22 = pow(alpha, NP1*g1);
      g23 = log(g14);
      g24 = pow(alpha, NP1*g4);
      g25 = pow(alpha, NP1*g5);
      g26 = pow(alpha, NP1*g6);
      g27 = -g19;
      g28 = g3/g7;
      g29 = g7/g3;
      g30 = -g21 + 1;
      g31 = -g21 + 1;
      g32 = -g22 + 1;
      g33 = -g24 + 1;
      g34 = -g25 + 1;
      g35 = -g26 + 1;
      g36 = -g22;
      g37 = -g24;
      g38 = -g25;
      g39 = -g26;
      g40 = -1.0*g19;
      g41 = -g3/g8;
      g42 = g40*xF[0];
      g43 = g40*xF[1];
      g44 = g40*xF[2];
      g45 = g40*xF[3];
      g46 = g40*xF[4];
      g47 = pow(alpha, g0*g20) - 1;
      g48 = pow(alpha, g0*g20) - 1;
      g49 = pow(alpha, g1*g20) - 1;
      g50 = pow(alpha, g20*g4) - 1;
      g51 = pow(alpha, g20*g5) - 1;
      g52 = pow(alpha, g20*g6) - 1;
      g53 = -pow(alpha, g1*g20);
      g54 = -pow(alpha, g20*g4);
      g55 = -pow(alpha, g20*g5);
      g56 = -pow(alpha, g20*g6);
      g57 = g8*g9/(g3*xF[1]);
      g58 = g31 + g48;
      g59 = -g22 - g53;
      g60 = -g24 - g54;
      g61 = -g25 - g55;
      g62 = -g26 - g56;
      g63 = pow(alpha, g1*g20) + g36;
      g64 = g31 + g48;
      g65 = pow(alpha, g20*g4) + g37;
      g66 = pow(alpha, g20*g5) + g38;
      g67 = pow(alpha, g20*g6) + g39;
      g68 = xF[1]/g64;
      g69 = xF[2]/g65;
      g70 = xF[1]/g58;
      g71 = xF[3]/g61;
      g72 = xF[0]/g59;
      g73 = xF[2]/g60;
      g74 = xF[4]/g62;
      g75 = g12/g59;
      g76 = 1.0*g73;
      g77 = 1.0*g70;
      g78 = g35/g62;
      g79 = g32/g59;
      g80 = g34/g61;
      g81 = g30/g58;
      g82 = g33/g60;
      g83 = g32*g72;
      g84 = g33*g73;
      g85 = g30*g70;
      g86 = g47/g58;
      g87 = g50/g60;
      g88 = g51/g61;
      g89 = g49/g59;
      g90 = g52/g62;
      g91 = g47*g70;
      g92 = g49*g72;
      g93 = g50*g73;
      g94 = log(g57*g64/g31);
      g95 = log(g57*g58/g30);
      g96 = log(g13*g29*g64/g48);
      g97 = 1.0*g94;
      g98 = log(g13*g29*g58/g47);
      g99 = 1.0*g96;
      g100 = g42 + g43 + g44 + g45 + g46;
      g101 = g78*g95;
      g102 = g79*g95;
      g103 = g82*g95;
      g104 = g81*g95;
      g105 = g80*g95;
      g106 = g87*g98;
      g107 = g88*g98;
      g108 = g90*g98;
      g109 = g86*g98;
      g110 = g89*g98;
      LpF = xF[0]*(g14 + 1.0)*(g102 + g110 + g27)/(g23*(g14 - 1.0)) + xF[1]*(g15 + 1.0)*(g104 + g109 + g27)/(g23*(g15 - 1.0)) + xF[2]*(g16 + 1.0)*(g103 + g106 + g27)/(g23*(g16 - 1.0)) + xF[3]*(g17 + 1.0)*(g105 + g107 + g27)/(g23*(g17 - 1.0)) + xF[4]*(g18 + 1.0)*(g101 + g108 + g27)/(g23*(g18 - 1.0));
      PpF = g29;
      TpF = -g8/g3;
      SWUpF = -g10*g94*(g39 + 1)/g67 - g10*g96*(pow(alpha, g20*g6) - 1)/g67 - g100 - g11*g94*(g38 + 1)/g66 - g11*g96*(pow(alpha, g20*g5) - 1)/g66 - g12*g94*(g36 + 1)/g63 - g12*g96*(pow(alpha, g1*g20) - 1)/g63 - g31*g68*g97 - g48*g68*g99 - g69*g97*(g37 + 1) - g69*g99*(pow(alpha, g20*g4) - 1);
      SWUpP = -g28*(g10*g101 + g10*g108 + g100 + g105*g11 + g107*g11 + g30*g77*g95 + g32*g75*g95 + g33*g76*g95 + g47*g77*g98 + g49*g75*g98 + g50*g76*g98);
      xP[0] = g28*g92;
      xP[1] = g28*g91;
      xP[2] = g28*g93;
      xP[3] = g28*g51*g71;
      xP[4] = g28*g52*g74;
      xT[0] = g41*g83;
      xT[1] = g41*g85;
      xT[2] = g41*g84;
      xT[3] = g34*g41*g71;
      xT[4] = g35*g41*g74;
      break;
    case 6:
      n0 = MW[0] - Mstar;
      n1 = log(alpha);
      n2 = xPj - xTj;
      n3 = xF[0] - xPj;
      n4 = MW[1] - Mstar;
      n5 = MW[2] - Mstar;
      n6 = MW[3] - Mstar;
      n7 = MW[4] - Mstar;
      n8 = MW[5] - Mstar;
      n9 = log(xTj);
      n10 = xF[0]*xPj;
      n11 = -Mstar;
      n12 = -xF[0];
      n13 = -xTj;
      n14 = -xPj;
      n15 = 2*NP0;
      n16 = 0.5*xF[0];
      n17 = pow(n0, 2);
      n18 = pow(n1, 2);
      n19 = pow(n4, 2);
      n20 = pow(n5, 2);
      n21 = pow(n6, 2);
      n22 = pow(n7, 2);
      n23 = pow(n8, 2);
      n24 = Mstar*n1;
      n25 = 2*n1;
      n26 = -1.0*xF[0];
      n27 = pow(alpha, NP0*n0);
      n28 = n10 + n12*xTj;
      n29 = n10 + n13*xPj;
      n30 = pow(alpha, NP0*n4);
      n31 = pow(alpha, NP0*n5);
      n32 = pow(alpha, NP0*n6);
      n33 = pow(alpha, NP0*n7);
      n34 = pow(alpha, NP0*n8);
      n35 = -MW[0]*n1;
      n36 = n2/n3;
      n37 = -n27 + 1;
      n38 = -n30 + 1;
      n39 = pow(alpha, n0*n15);
      n40 = pow(n28, 2);
      n41 = pow(n29, 2);
      n42 = -n31 + 1;
      n43 = -n32 + 1;
      n44 = -n33 + 1;
      n45 = -n34 + 1;
      n46 = -n27;
      n47 = 1/(n0*n1);
      n48 = n0*n18;
      n49 = n45*xF[5];
      n50 = n32*n6;
      n51 = n30*n4;
      n52 = n33*n7;
      n53 = n0*n27;
      n54 = n34*n8;
      n55 = n42*xF[2];
      n56 = n31*n5;
      n57 = n17*n18;
      n58 = log((-1.0 + xPj/xF[0])/n2);
      n59 = n56*xF[2];
      n60 = -n44*xF[4];
      n61 = -n38*xF[1];
      n62 = n29/n28;
      n63 = n18*n20*n31;
      n64 = n18*n22*n33;
      n65 = n27*n57;
      n66 = n18*n21*n32;
      n67 = n18*n19*n30;
      n68 = -n36*n49;
      n69 = n46*n62 + 1;
      n70 = pow(n69, 2);
      n71 = n24 + n35 + n58 + n9;
      n72 = n27*n62/n69;
      n73 = n18*n39*n41/(n40*n70);
      n74 = n47*(n71 - log(n69)) + 1;
      n75 = pow(alpha, n0*n74);
      n76 = pow(alpha, n4*n74);
      n77 = pow(alpha, n5*n74);
      n78 = pow(alpha, n6*n74);
      n79 = pow(alpha, n7*n74);
      n80 = pow(alpha, n74*n8);
      n81 = n4/n76;
      n82 = n7/n79;
      n83 = n6/n78;
      n84 = n8/n80;
      n85 = n5/n77;
      n86 = n37 - 1 + 1.0/n75;
      n87 = n38 - 1 + 1.0/n76;
      n88 = n42 - 1 + 1.0/n77;
      n89 = n43 - 1 + 1.0/n78;
      n90 = n44 - 1 + 1.0/n79;
      n91 = n45 - 1 + 1.0/n80;
      n92 = pow(n86, 2);
      n93 = pow(n87, 2);
      n94 = pow(n88, 2);
      n95 = pow(n89, 2);
      n96 = pow(n90, 2);
      n97 = pow(n91, 2);
      n98 = pow(n86, 3);
      n99 = pow(n87, 3);
      n100 = pow(n88, 3);
      n101 = pow(n89, 3);
      n102 = pow(n90, 3);
      n103 = pow(n91, 3);
      n104 = xF[1]/n87;
      n105 = xF[4]/n90;
      n106 = xF[2]/n88;
      n107 = xF[3]/n89;
      n108 = n1/n88;
      n109 = n1/n86;
      n110 = n1*n107;
      n111 = n37/n98;
      n112 = -n43*xF[3]/n95;
      n113 = n1*n54*xF[5]/n91;
      n114 = n65/n86;
      n115 = n18*n23*n34*xF[5]/n91;
      n116 = n109*n12*n36*n53;
      n117 = n114*n36*xF[0];
      n118 = n104*n36*n67;
      n119 = n106*n36*n63;
      n120 = n107*n36*n66;
      n121 = n105*n36*n64;
      n122 = n115*n36;
      n123 = n114*n16*n36;
      n124 = n62/(n69*n75) + 1;
      n125 = n1*n53*n62/(n69*n75) + n1*n53;
      n126 = n1*n51 + n1*n72*n81;
      n127 = n1*n56 + n1*n72*n85;
      n128 = n1*n50 + n1*n72*n83;
      n129 = n1*n52 + n1*n72*n82;
      n130 = n1*n54 + n1*n72*n84;
      n131 = pow(n125, 2);
      n132 = pow(n126, 2);
      n133 = pow(n127, 2);
      n134 = pow(n128, 2);
      n135 = pow(n129, 2);
      n136 = pow(n130, 2);
      n137 = n128*xF[3];
      n138 = n25*n53*n62/(n69*n75) + n25*n53;
      n139 = 2*n131;
      n140 = n62*n65/(n69*n75) + n65;
      n141 = n129*n60;
      n142 = n124*n37*xF[0]/n92;
      n143 = n130/n97;
      n144 = n127/n94;
      n145 = n126/n93;
      n146 = n129*xF[4]/n96;
      n147 = n125*xF[0]/n92;
      n148 = 2*n136/n103;
      n149 = 2*n135/n102;
      n150 = 2*n132/n99;
      n151 = -2*n133/n100;
      n152 = -2*n134*n43*xF[3]/n101;
      n153 = n140*n37/n92;
      n154 = n147*n36*n37;
      n155 = n25*n36*n53*xF[0]*(pow(alpha, NP0*n0 - n0*n74)*n0*n1*n62/n69 + n1*n53)/n92;
      n156 = n25*n36*n51*xF[1]*(pow(alpha, NP0*n0 - n4*n74)*n1*n4*n62/n69 + n1*n51)/n93;
      n157 = n25*n36*n59*(pow(alpha, NP0*n0 - n5*n74)*n1*n5*n62/n69 + n1*n56)/n94;
      n158 = n25*n36*n50*xF[3]*(pow(alpha, NP0*n0 - n6*n74)*n1*n6*n62/n69 + n1*n50)/n95;
      n159 = n25*n36*n52*xF[4]*(pow(alpha, NP0*n0 - n7*n74)*n1*n62*n7/n69 + n1*n52)/n96;
      n160 = n25*n36*n54*xF[5]*(pow(alpha, NP0*n0 - n74*n8)*n1*n62*n8/n69 + n1*n54)/n97;
      n161 = 1.0*n1*n147*n36*n53;
      n162 = n12*n36*n37*(pow(alpha, NP0*n0 - n0*n74)*n57*n62/n69 + n65)/n92;
      n163 = -0.5*n153*n36*xF[0];
      n164 = n125*n138;
      n165 = -n19*n73/n76 + n39*n41*n48*n81/(n40*n70) + n48*n72*n81 + n67;
      n166 = -n20*n73/n77 + n39*n41*n48*n85/(n40*n70) + n48*n72*n85 + n63;
      n167 = -n22*n73/n79 + n39*n41*n48*n82/(n40*n70) + n48*n72*n82 + n64;
      n168 = n18*n23*n34 - n23*n73/n80 + n39*n41*n48*n84/(n40*n70) + n48*n72*n84;
      n169 = n36*n61*(-pow(alpha, n0*n15 - n4*n74)*n18*n19*n41/(n40*n70) + pow(alpha, n0*n15 - n4*n74)*n4*n41*n48/(n40*n70) + n48*n72*n81 + n67)/n93;
      n170 = -n36*n55*(-pow(alpha, n0*n15 - n5*n74)*n18*n20*n41/(n40*n70) + pow(alpha, n0*n15 - n5*n74)*n41*n48*n5/(n40*n70) + n48*n72*n85 + n63)/n94;
      n171 = n112*n36*(-pow(alpha, n0*n15 - n6*n74)*n18*n21*n41/(n40*n70) + pow(alpha, n0*n15 - n6*n74)*n41*n48*n6/(n40*n70) + n48*n72*n83 + n66);
      n172 = n36*n60*(-pow(alpha, n0*n15 - n7*n74)*n18*n22*n41/(n40*n70) + pow(alpha, n0*n15 - n7*n74)*n41*n48*n7/(n40*n70) + n48*n72*n82 + n64)/n96;
      n173 = n68*(-pow(alpha, n0*n15 - n74*n8)*n18*n23*n41/(n40*n70) + pow(alpha, n0*n15 - n74*n8)*n41*n48*n8/(n40*n70) + n18*n23*n34 + n48*n72*n84)/n97;
      n174 = n123 + n161 + n163;
      n175 = xTj*(n1*n104*n36*n51 + n1*n105*n36*n52 + n108*n36*n59 + n109*n36*n53*xF[0] + n110*n36*n50 + n112*n128*n36 + n113*n36 + n12*n36*n37*(pow(alpha, NP0*n0 - n0*n74)*n0*n1*n62/n69 + n1*n53)/n92 + n141*n36/n96 + n143*n68 - n144*n36*n55 + n145*n36*n61);
      n176 = n116 + n154 + n175;
      n177 = n117 + n118 + n119 + n120 + n121 + n122 + n155 + n156 + n157 + n158 + n159 + n160 + n162 + n169 + n170 + n171 + n172 + n173;
      n178 = n111*n12*n36*(pow(alpha, NP0*n0 - n0*n74)*n0*n1*n62/n69 + n1*n53)*(pow(alpha, NP0*n0 - n0*n74)*n0*n25*n62/n69 + n25*n53) + n126*n36*n61*(n25*n51 + n25*n72*n81)/n99 + n177 + n130*n68*(n25*n54 + n25*n72*n84)/n103 + n141*n36*(n25*n52 + n25*n72*n82)/n102 - n137*n36*n43*(n25*n50 + n25*n72*n83)/n101 - n127*n36*n55*(n25*n56 + n25*n72*n85)/n100;
      NP_b = -n1*n142*n36*n53 - n116 - n15*(1.0*n1*n36*n53*xF[0]*(pow(alpha, NP0*n0 - n0*n74)*n0*n1*n62/n69 + n1*n53)/n92 + n111*n131*n26*n36 + n123 - 0.5*n36*n37*xF[0]*(pow(alpha, NP0*n0 - n0*n74)*n57*n62/n69 + n65)/n92 - 0.5*xTj*(-n111*n139*n36*xF[0] + n112*n36*(pow(alpha, NP0*n0 - n6*n74)*n48*n6*n62/n69 - pow(alpha, n0*n15 - n6*n74)*n18*n21*n41/(n40*n70) + pow(alpha, n0*n15 - n6*n74)*n41*n48*n6/(n40*n70) + n66) + n117 + n118 + n119 + n120 + n121 + n122 - n148*n36*n49 - n149*n36*n44*xF[4] - n150*n36*n38*xF[1] + n151*n36*n55 + n152*n36 + n155 + n156 + n157 + n158 + n159 + n160 + n162 - n36*n55*(pow(alpha, NP0*n0 - n5*n74)*n48*n5*n62/n69 - pow(alpha, n0*n15 - n5*n74)*n18*n20*n41/(n40*n70) + pow(alpha, n0*n15 - n5*n74)*n41*n48*n5/(n40*n70) + n63)/n94 + n36*n60*(pow(alpha, NP0*n0 - n7*n74)*n48*n62*n7/n69 - pow(alpha, n0*n15 - n7*n74)*n18*n22*n41/(n40*n70) + pow(alpha, n0*n15 - n7*n74)*n41*n48*n7/(n40*n70) + n64)/n96 + n36*n61*(pow(alpha, NP0*n0 - n4*n74)*n4*n48*n62/n69 - pow(alpha, n0*n15 - n4*n74)*n18*n19*n41/(n40*n70) + pow(alpha, n0*n15 - n4*n74)*n4*n41*n48/(n40*n70) + n67)/n93 + n68*(pow(alpha, NP0*n0 - n74*n8)*n48*n62*n8/n69 - pow(alpha, n0*n15 - n74*n8)*n18*n23*n41/(n40*n70) + pow(alpha, n0*n15 - n74*n8)*n41*n48*n8/(n40*n70) + n18*n23*n34)/n97)) - n36*xTj*(n1*n104*n51 + n1*n105*n52 + n108*n59 + n109*n53*xF[0] + n110*n50 + n112*n128 + n113 + n12*n37*(pow(alpha, NP0*n0 - n0*n74)*n0*n1*n62/n69 + n1*n53)/n92 + n141/n96 - n143*n49 - n144*n55 + n145*n61);
      NP_2a = -n36*(2*n111*pow(n124, 2)*n39*n57*xF[0] + n114*n26 - 2.0*n124*n39*n57*xF[0]/n92 + n142*n65 + 1.0*xTj*(n104*n67 + n105*n64 + n106*n63 + n107*n66 - n111*n139*xF[0] + n112*(-pow(alpha, n0*n15 - n6*n74)*n18*n21*n41/(n40*n70) + pow(alpha, n0*n15 - n6*n74)*n41*n48*n6/(n40*n70) + n48*n72*n83 + n66) + n114*xF[0] + n115 + n12*n37*(pow(alpha, NP0*n0 - n0*n74)*n57*n62/n69 + n65)/n92 - n148*n49 - n149*n44*xF[4] - n150*n38*xF[1] + n151*n55 + n152 + n25*n50*xF[3]*(pow(alpha, NP0*n0 - n6*n74)*n1*n6*n62/n69 + n1*n50)/n95 + n25*n51*xF[1]*(pow(alpha, NP0*n0 - n4*n74)*n1*n4*n62/n69 + n1*n51)/n93 + n25*n52*xF[4]*(pow(alpha, NP0*n0 - n7*n74)*n1*n62*n7/n69 + n1*n52)/n96 + n25*n53*xF[0]*(pow(alpha, NP0*n0 - n0*n74)*n0*n1*n62/n69 + n1*n53)/n92 + n25*n54*xF[5]*(pow(alpha, NP0*n0 - n74*n8)*n1*n62*n8/n69 + n1*n54)/n97 + n25*n59*(pow(alpha, NP0*n0 - n5*n74)*n1*n5*n62/n69 + n1*n56)/n94 - n49*(-pow(alpha, n0*n15 - n74*n8)*n18*n23*n41/(n40*n70) + pow(alpha, n0*n15 - n74*n8)*n41*n48*n8/(n40*n70) + n18*n23*n34 + n48*n72*n84)/n97 - n55*(-pow(alpha, n0*n15 - n5*n74)*n18*n20*n41/(n40*n70) + pow(alpha, n0*n15 - n5*n74)*n41*n48*n5/(n40*n70) + n48*n72*n85 + n63)/n94 + n60*(-pow(alpha, n0*n15 - n7*n74)*n18*n22*n41/(n40*n70) + pow(alpha, n0*n15 - n7*n74)*n41*n48*n7/(n40*n70) + n48*n72*n82 + n64)/n96 + n61*(-pow(alpha, n0*n15 - n4*n74)*n18*n19*n41/(n40*n70) + pow(alpha, n0*n15 - n4*n74)*n4*n41*n48/(n40*n70) + n48*n72*n81 + n67)/n93));
      NP_sqrt_base = pow(-n15*(1.0*n1*n36*n53*xF[0]*(pow(alpha, NP0*n0 - n0*n74)*n0*n1*n62/n69 + n1*n53)/n92 - 0.5*n111*n36*xF[0]*(pow(alpha, NP0*n0 - n0*n74)*n0*n1*n62/n69 + n1*n53)*(pow(alpha, NP0*n0 - n0*n74)*n0*n25*n62/n69 + n25*n53) + n123 - 0.5*n36*n37*xF[0]*(pow(alpha, NP0*n0 - n0*n74)*n57*n62/n69 + n65)/n92 - 0.5*xTj*(n111*n12*n36*(pow(alpha, NP0*n0 - n0*n74)*n0*n1*n62/n69 + n1*n53)*(pow(alpha, NP0*n0 - n0*n74)*n0*n25*n62/n69 + n25*n53) + n112*n36*(pow(alpha, NP0*n0 - n6*n74)*n48*n6*n62/n69 - pow(alpha, n0*n15 - n6*n74)*n18*n21*n41/(n40*n70) + pow(alpha, n0*n15 - n6*n74)*n41*n48*n6/(n40*n70) + n66) + n117 + n118 + n119 + n120 + n121 + n122 + n155 + n156 + n157 + n158 + n159 + n160 + n162 - n36*n55*(pow(alpha, NP0*n0 - n5*n74)*n48*n5*n62/n69 - pow(alpha, n0*n15 - n5*n74)*n18*n20*n41/(n40*n70) + pow(alpha, n0*n15 - n5*n74)*n41*n48*n5/(n40*n70) + n63)/n94 + n36*n60*(pow(alpha, NP0*n0 - n7*n74)*n48*n62*n7/n69 - pow(alpha, n0*n15 - n7*n74)*n18*n22*n41/(n40*n70) + pow(alpha, n0*n15 - n7*n74)*n41*n48*n7/(n40*n70) + n64)/n96 + n36*n61*(pow(alpha, NP0*n0 - n4*n74)*n1*n4*n62/n69 + n1*n51)*(pow(alpha, NP0*n0 - n4*n74)*n25*n4*n62/n69 + n25*n51)/n99 + n36*n61*(pow(alpha, NP0*n0 - n4*n74)*n4*n48*n62/n69 - pow(alpha, n0*n15 - n4*n74)*n18*n19*n41/(n40*n70) + pow(alpha, n0*n15 - n4*n74)*n4*n41*n48/(n40*n70) + n67)/n93 + n68*(pow(alpha, NP0*n0 - n74*n8)*n48*n62*n8/n69 - pow(alpha, n0*n15 - n74*n8)*n18*n23*n41/(n40*n70) + pow(alpha, n0*n15 - n74*n8)*n41*n48*n8/(n40*n70) + n18*n23*n34)/n97 + n68*(pow(alpha, NP0*n0 - n74*n8)*n1*n62*n8/n69 + n1*n54)*(pow(alpha, NP0*n0 - n74*n8)*n25*n62*n8/n69 + n25*n54)/n103 + n36*n60*(pow(alpha, NP0*n0 - n7*n74)*n1*n62*n7/n69 + n1*n52)*(pow(alpha, NP0*n0 - n7*n74)*n25*n62*n7/n69 + n25*n52)/n102 - n36*n43*xF[3]*(pow(alpha, NP0*n0 - n6*n74)*n1*n6*n62/n69 + n1*n50)*(pow(alpha, NP0*n0 - n6*n74)*n25*n6*n62/n69 + n25*n50)/n101 - n36*n55*(pow(alpha, NP0*n0 - n5*n74)*n1*n5*n62/n69 + n1*n56)*(pow(alpha, NP0*n0 - n5*n74)*n25*n5*n62/n69 + n25*n56)/n100)) - n176, 2) + (-pow(NP0, 2)*(-n1*n26*n36*n53*(pow(alpha, NP0*n0 - n0*n74)*n0*n1*n62/n69 + n1*n53)/n92 - n111*n16*n36*(pow(alpha, NP0*n0 - n0*n74)*n0*n1*n62/n69 + n1*n53)*(pow(alpha, NP0*n0 - n0*n74)*n0*n25*n62/n69 + n25*n53) + 0.5*n117 - n16*n36*n37*(pow(alpha, NP0*n0 - n0*n74)*n57*n62/n69 + n65)/n92 - 0.5*n178*xTj) - NP0*n176 - n12*n36*n37/(n37 - 1 + pow(alpha, -n0*(n47*(n71 - log(n29*n46/(n10 + n13*xF[0]) + 1)) + 1))) - n13*(-n36*n37*xF[0]/(n37 - 1 + pow(alpha, -n0*(n47*(n71 - log(1 + n46*(n10 + n14*xTj)/n28)) + 1))) - n36*n38*xF[1]/(n38 - 1 + pow(alpha, -n4*(n47*(n71 - log(1 + n46*(n10 + n14*xTj)/n28)) + 1))) - n36*n43*xF[3]/(n43 - 1 + pow(alpha, -n6*(n47*(n71 - log(1 + n46*(n10 + n14*xTj)/n28)) + 1))) - n36*n44*xF[4]/(n44 - 1 + pow(alpha, -n7*(n47*(n71 - log(1 + n46*(n10 + n14*xTj)/n28)) + 1))) - n36*n49/(n45 - 1 + pow(alpha, -n8*(n47*(n71 - log(1 + n46*(n10 + n14*xTj)/n28)) + 1))) - n36*n55/(n42 - 1 + pow(alpha, -n5*(n47*(n71 - log(1 + n46*(n10 + n14*xTj)/n28)) + 1)))))*(4.0*n1*n147*n36*n53 - 4.0*n111*n131*n36*xF[0] + 2.0*n117 - 2.0*n153*n36*xF[0] - 2.0*n178*xTj);
      NP_sqrt_base = fabs(NP_sqrt_base);
      NP1 = (-NP_b - sqrt(NP_sqrt_base))/NP_2a;
      NT1 = n47*(n71 - log(-pow(alpha, NP1*n0)*n62 + 1));
      g0 = MW[1] - Mstar;
      g1 = MW[0] - Mstar;
      g2 = NT1 + 1;
      g3 = xPj - xTj;
      g4 = MW[2] - Mstar;
      g5 = MW[3] - Mstar;
      g6 = MW[4] - Mstar;
      g7 = MW[5] - Mstar;
      g8 = xF[0] - xTj;
      g9 = xF[0] - xPj;
      g10 = -xTj;
      g11 = xPj/xF[1];
      g12 = pow(alpha, -g1);
      g13 = pow(alpha, -g0);
      g14 = pow(alpha, -g4);
      g15 = pow(alpha, -g5);
      g16 = pow(alpha, -g6);
      g17 = pow(alpha, -g7);
      g18 = log(xF[0]/xF[1]);
      g19 = -g2;
      g20 = pow(alpha, NP1*g0);
      g21 = pow(alpha, NP1*g1);
      g22 = log(g12);
      g23 = pow(alpha, NP1*g4);
      g24 = pow(alpha, NP1*g5);
      g25 = pow(alpha, NP1*g6);
      g26 = pow(alpha, NP1*g7);
      g27 = -g18;
      g28 = g3/g8;
      g29 = g8/g3;
      g30 = -g20 + 1;
      g31 = -g20 + 1;
      g32 = -g21 + 1;
      g33 = -g23 + 1;
      g34 = -g24 + 1;
      g35 = -g25 + 1;
      g36 = -g26 + 1;
      g37 = -g21;
      g38 = -g23;
      g39 = -g24;
      g40 = -g25;
      g41 = -g26;
      g42 = -1.0*g18;
      g43 = -g3/g9;
      g44 = pow(alpha, g0*g19) - 1;
      g45 = pow(alpha, g0*g19) - 1;
      g46 = pow(alpha, g1*g19) - 1;
      g47 = pow(alpha, g19*g4) - 1;
      g48 = pow(alpha, g19*g5) - 1;
      g49 = pow(alpha, g19*g6) - 1;
      g50 = pow(alpha, g19*g7) - 1;
      g51 = -pow(alpha, g1*g19);
      g52 = -pow(alpha, g19*g4);
      g53 = -pow(alpha, g19*g5);
      g54 = -pow(alpha, g19*g6);
      g55 = -pow(alpha, g19*g7);
      g56 = g10*g9/(g3*xF[1]);
      g57 = g31 + g45;
      g58 = -g21 - g51;
      g59 = -g23 - g52;
      g60 = -g24 - g53;
      g61 = -g25 - g54;
      g62 = -g26 - g55;
      g63 = pow(alpha, g1*g19) + g37;
      g64 = g31 + g45;
      g65 = pow(alpha, g19*g4) + g38;
      g66 = pow(alpha, g19*g5) + g39;
      g67 = pow(alpha, g19*g6) + g40;
      g68 = pow(alpha, g19*g7) + g41;
      g69 = xF[5]/g68;
      g70 = xF[4]/g67;
      g71 = xF[3]/g66;
      g72 = xF[1]/g64;
      g73 = xF[2]/g65;
      g74 = xF[0]/g63;
      g75 = xF[1]/g57;
      g76 = xF[3]/g60;
      g77 = xF[0]/g58;
      g78 = xF[4]/g61;
      g79 = xF[5]/g62;
      g80 = xF[2]/g59;
      g81 = g35/g61;
      g82 = g32/g58;
      g83 = g34/g60;
      g84 = g36/g62;
      g85 = g30/g57;
      g86 = g33/g59;
      g87 = g44/g57;
      g88 = g47/g59;
      g89 = g48/g60;
      g90 = g50/g62;
      g91 = g46/g58;
      g92 = g49/g61;
      g93 = log(g56*g64/g31);
      g94 = log(g56*g57/g30);
      g95 = log(g11*g29*g64/g45);
      g96 = 1.0*g93;
      g97 = log(g11*g29*g57/g44);
      g98 = 1.0*g95;
      g99 = -g31*g72*g96 - g42*xF[0] - g42*xF[1] - g42*xF[2] - g42*xF[3] - g42*xF[4] - g42*xF[5] - g45*g72*g98 - g69*g96*(g41 + 1) - g69*g98*(pow(alpha, g19*g7) - 1) - g70*g96*(g40 + 1) - g70*g98*(pow(alpha, g19*g6) - 1) - g71*g96*(g39 + 1) - g71*g98*(pow(alpha, g19*g5) - 1) - g73*g96*(g38 + 1) - g73*g98*(pow(alpha, g19*g4) - 1) - g74*g96*(g37 + 1) - g74*g98*(pow(alpha, g1*g19) - 1);
      LpF = xF[0]*(g12 + 1.0)*(g27 + g82*g94 + g91*g97)/(g22*(g12 - 1.0)) + xF[1]*(g13 + 1.0)*(g27 + g85*g94 + g87*g97)/(g22*(g13 - 1.0)) + xF[2]*(g14 + 1.0)*(g27 + g86*g94 + g88*g97)/(g22*(g14 - 1.0)) + xF[3]*(g15 + 1.0)*(g27 + g83*g94 + g89*g97)/(g22*(g15 - 1.0)) + xF[4]*(g16 + 1.0)*(g27 + g81*g94 + g92*g97)/(g22*(g16 - 1.0)) + xF[5]*(g17 + 1.0)*(g27 + g84*g94 + g90*g97)/(g22*(g17 - 1.0));
      PpF = g29;
      TpF = -g9/g3;
      SWUpF = g99;
      SWUpP = g28*g99;
      xP[0] = g28*g46*g77;
      xP[1] = g28*g44*g75;
      xP[2] = g28*g47*g80;
      xP[3] = g28*g48*g76;
      xP[4] = g28*g49*g78;
      xP[5] = g28*g50*g79;
      xT[0] = g32*g43*g77;
      xT[1] = g30*g43*g75;
      xT[2] = g33*g43*g80;
      xT[3] = g34*g43*g76;
      xT[4] = g35*g43*g78;
      xT[5] = g36*g43*g79;
      break;
    case 7:
      n0 = MW[0] - Mstar;
      n1 = log(alpha);
      n2 = xPj - xTj;
      n3 = xF[0] - xPj;
      n4 = MW[1] - Mstar;
      n5 = MW[2] - Mstar;
      n6 = MW[3] - Mstar;
      n7 = MW[4] - Mstar;
      n8 = MW[5] - Mstar;
      n9 = MW[6] - Mstar;
      n10 = log(xTj);
      n11 = -2;
      n12 = xF[0]*xPj;
      n13 = -Mstar;
      n14 = -NP0*n11;
      n15 = -xPj;
      n16 = -xF[0];
      n17 = pow(n0, -n11);
      n18 = pow(n1, -n11);
      n19 = pow(n4, -n11);
      n20 = pow(n5, -n11);
      n21 = pow(n6, -n11);
      n22 = pow(n7, -n11);
      n23 = pow(n8, -n11);
      n24 = pow(n9, -n11);
      n25 = Mstar*n1;
      n26 = -n1*n11;
      n27 = -0.5*xTj;
      n28 = pow(alpha, NP0*n0);
      n29 = n12 + n16*xTj;
      n30 = n12 + n15*xTj;
      n31 = pow(alpha, NP0*n4);
      n32 = pow(alpha, NP0*n5);
      n33 = pow(alpha, NP0*n6);
      n34 = pow(alpha, NP0*n7);
      n35 = pow(alpha, NP0*n8);
      n36 = pow(alpha, NP0*n9);
      n37 = -MW[0]*n1;
      n38 = n2/n3;
      n39 = -n28 + 1;
      n40 = -n31 + 1;
      n41 = pow(alpha, n0*n14);
      n42 = pow(n29, -n11);
      n43 = pow(n30, -n11);
      n44 = -n32 + 1;
      n45 = -n33 + 1;
      n46 = -n34 + 1;
      n47 = -n35 + 1;
      n48 = -n36 + 1;
      n49 = -n48;
      n50 = -n44;
      n51 = -n28;
      n52 = 1/(n0*n1);
      n53 = n0*n18;
      n54 = n32*n5;
      n55 = n35*n8;
      n56 = n36*n9;
      n57 = n33*n6;
      n58 = n34*n7;
      n59 = n31*n4;
      n60 = n0*n28;
      n61 = n17*n18;
      n62 = log((-1.0 + xPj/xF[0])/n2);
      n63 = -n47*xF[5];
      n64 = -n40*xF[1];
      n65 = -n46*xF[4];
      n66 = n30/n29;
      n67 = n18*n20*n32;
      n68 = n18*n22*n34;
      n69 = n28*n61;
      n70 = n18*n21*n33;
      n71 = n18*n24*n36;
      n72 = n38*n63;
      n73 = n51*n66 + 1;
      n74 = pow(n73, -n11);
      n75 = n10 + n25 + n37 + n62;
      n76 = n28*n66/n73;
      n77 = n18*n41*n43/(n42*n74);
      n78 = n52*(n75 - log(n73)) + 1;
      n79 = pow(alpha, n0*n78);
      n80 = pow(alpha, n4*n78);
      n81 = pow(alpha, n5*n78);
      n82 = pow(alpha, n6*n78);
      n83 = pow(alpha, n7*n78);
      n84 = pow(alpha, n78*n8);
      n85 = pow(alpha, n78*n9);
      n86 = n4/n80;
      n87 = n7/n83;
      n88 = n6/n82;
      n89 = n9/n85;
      n90 = n8/n84;
      n91 = n5/n81;
      n92 = n39 - 1 + 1.0/n79;
      n93 = n40 - 1 + 1.0/n80;
      n94 = n44 - 1 + 1.0/n81;
      n95 = n45 - 1 + 1.0/n82;
      n96 = n46 - 1 + 1.0/n83;
      n97 = n47 - 1 + 1.0/n84;
      n98 = n48 - 1 + 1.0/n85;
      n99 = pow(n92, -n11);
      n100 = pow(n93, -n11);
      n101 = pow(n94, -n11);
      n102 = pow(n95, -n11);
      n103 = pow(n96, -n11);
      n104 = pow(n97, -n11);
      n105 = pow(n98, -n11);
      n106 = pow(n92, 3);
      n107 = pow(n93, 3);
      n108 = pow(n94, 3);
      n109 = pow(n95, 3);
      n110 = pow(n96, 3);
      n111 = pow(n97, 3);
      n112 = pow(n98, 3);
      n113 = xF[6]/n98;
      n114 = xF[2]/n94;
      n115 = xF[4]/n96;
      n116 = xF[3]/n95;
      n117 = n1/n92;
      n118 = xF[6]/n112;
      n119 = n1*xF[5]/n97;
      n120 = n1*xF[1]/n93;
      n121 = n1*n116;
      n122 = n39/n92;
      n123 = n39*xF[0]/n106;
      n124 = n45*xF[3]/n109;
      n125 = -n45*xF[3]/n102;
      n126 = n69*xF[0]/n92;
      n127 = n18*n19*n31*xF[1]/n93;
      n128 = n18*n23*n35*xF[5]/n97;
      n129 = n117*n38*n60*xF[0];
      n130 = n117*n16*n38*n60;
      n131 = n126*n38;
      n132 = n127*n38;
      n133 = n114*n38*n67;
      n134 = n116*n38*n70;
      n135 = n115*n38*n68;
      n136 = n128*n38;
      n137 = n113*n38*n71;
      n138 = 0.5*n131;
      n139 = n66/(n73*n79) + 1;
      n140 = n1*n60*n66/(n73*n79) + n1*n60;
      n141 = n1*n59 + n1*n76*n86;
      n142 = n1*n54 + n1*n76*n91;
      n143 = n1*n57 + n1*n76*n88;
      n144 = n1*n58 + n1*n76*n87;
      n145 = n1*n55 + n1*n76*n90;
      n146 = n1*n56 + n1*n76*n89;
      n147 = pow(n140, -n11);
      n148 = pow(n141, -n11);
      n149 = pow(n142, -n11);
      n150 = pow(n143, -n11);
      n151 = pow(n144, -n11);
      n152 = pow(n145, -n11);
      n153 = pow(n146, -n11);
      n154 = n142*xF[2];
      n155 = n26*n60*n66/(n73*n79) + n26*n60;
      n156 = n66*n69/(n73*n79) + n69;
      n157 = n153*n48;
      n158 = n144*n65;
      n159 = n139*n39*xF[0]/n99;
      n160 = n145/n104;
      n161 = n141/n100;
      n162 = n140/n99;
      n163 = n146*xF[6]/n105;
      n164 = n162*xF[0];
      n165 = n149*n44*xF[2]/n108;
      n166 = n156*n39/n99;
      n167 = n16*n38*n39*(pow(alpha, NP0*n0 - n0*n78)*n0*n1*n66/n73 + n1*n60)/n99;
      n168 = n1*n11*n16*n38*n60*(pow(alpha, NP0*n0 - n0*n78)*n0*n1*n66/n73 + n1*n60)/n99;
      n169 = n26*n38*n59*xF[1]*(pow(alpha, NP0*n0 - n4*n78)*n1*n4*n66/n73 + n1*n59)/n100;
      n170 = n26*n38*n54*xF[2]*(pow(alpha, NP0*n0 - n5*n78)*n1*n5*n66/n73 + n1*n54)/n101;
      n171 = n26*n38*n57*xF[3]*(pow(alpha, NP0*n0 - n6*n78)*n1*n6*n66/n73 + n1*n57)/n102;
      n172 = n26*n38*n58*xF[4]*(pow(alpha, NP0*n0 - n7*n78)*n1*n66*n7/n73 + n1*n58)/n103;
      n173 = n26*n38*n55*xF[5]*(pow(alpha, NP0*n0 - n78*n8)*n1*n66*n8/n73 + n1*n55)/n104;
      n174 = n26*n38*n56*xF[6]*(pow(alpha, NP0*n0 - n78*n9)*n1*n66*n9/n73 + n1*n56)/n105;
      n175 = 1.0*n1*n164*n38*n60;
      n176 = n16*n38*n39*(pow(alpha, NP0*n0 - n0*n78)*n61*n66/n73 + n69)/n99;
      n177 = -0.5*n166*n38*xF[0];
      n178 = n129 + n167;
      n179 = n18*n19*n31 - n19*n77/n80 + n41*n43*n53*n86/(n42*n74) + n53*n76*n86;
      n180 = -n20*n77/n81 + n41*n43*n53*n91/(n42*n74) + n53*n76*n91 + n67;
      n181 = -n22*n77/n83 + n41*n43*n53*n87/(n42*n74) + n53*n76*n87 + n68;
      n182 = n18*n23*n35 - n23*n77/n84 + n41*n43*n53*n90/(n42*n74) + n53*n76*n90;
      n183 = -n24*n77/n85 + n41*n43*n53*n89/(n42*n74) + n53*n76*n89 + n71;
      n184 = n38*n64*(-pow(alpha, n0*n14 - n4*n78)*n18*n19*n43/(n42*n74) + pow(alpha, n0*n14 - n4*n78)*n4*n43*n53/(n42*n74) + n18*n19*n31 + n53*n76*n86)/n100;
      n185 = n38*n50*xF[2]*(-pow(alpha, n0*n14 - n5*n78)*n18*n20*n43/(n42*n74) + pow(alpha, n0*n14 - n5*n78)*n43*n5*n53/(n42*n74) + n53*n76*n91 + n67)/n101;
      n186 = n125*n38*(-pow(alpha, n0*n14 - n6*n78)*n18*n21*n43/(n42*n74) + pow(alpha, n0*n14 - n6*n78)*n43*n53*n6/(n42*n74) + n53*n76*n88 + n70);
      n187 = n38*n65*(-pow(alpha, n0*n14 - n7*n78)*n18*n22*n43/(n42*n74) + pow(alpha, n0*n14 - n7*n78)*n43*n53*n7/(n42*n74) + n53*n76*n87 + n68)/n103;
      n188 = n72*(-pow(alpha, n0*n14 - n78*n8)*n18*n23*n43/(n42*n74) + pow(alpha, n0*n14 - n78*n8)*n43*n53*n8/(n42*n74) + n18*n23*n35 + n53*n76*n90)/n104;
      n189 = n38*n49*xF[6]*(-pow(alpha, n0*n14 - n78*n9)*n18*n24*n43/(n42*n74) + pow(alpha, n0*n14 - n78*n9)*n43*n53*n9/(n42*n74) + n53*n76*n89 + n71)/n105;
      n190 = n138 + n175 + n177;
      n191 = n1*n113*n38*n56 + n1*n114*n38*n54 + n1*n115*n38*n58 + n119*n38*n55 + n120*n38*n59 + n121*n38*n57 + n125*n143*n38 + n160*n72 + n161*n38*n64 + n163*n38*n49 + n178 + n158*n38/n103 + n154*n38*n50/n101;
      n192 = n191*xTj;
      n193 = n131 + n132 + n133 + n134 + n135 + n136 + n137 + n168 + n169 + n170 + n171 + n172 + n173 + n174 + n176 + n184 + n185 + n186 + n187 + n188 + n189;
      n194 = n118*n146*n38*n49*(n26*n56 + n26*n76*n89) - n124*n143*n38*(n26*n57 + n26*n76*n88) + n193 + n145*n72*(n26*n55 + n26*n76*n90)/n111 + n158*n38*(n26*n58 + n26*n76*n87)/n110 + n154*n38*n50*(n26*n54 + n26*n76*n91)/n108 + n141*n38*n64*(n26*n59 + n26*n76*n86)/n107 + n16*n38*n39*(pow(alpha, NP0*n0 - n0*n78)*n0*n1*n66/n73 + n1*n60)*(pow(alpha, NP0*n0 - n0*n78)*n0*n26*n66/n73 + n26*n60)/n106;
      NP_b = -n1*n159*n38*n60 - n130 - n14*(1.0*n1*n38*n60*xF[0]*(pow(alpha, NP0*n0 - n0*n78)*n0*n1*n66/n73 + n1*n60)/n99 - 1.0*n123*n147*n38 + n138 + n27*(n11*n118*n157*n38 + n11*n123*n147*n38 + n11*n124*n150*n38 + n11*n165*n38 + n11*n152*n38*n47*xF[5]/n111 + n11*n151*n38*n46*xF[4]/n110 + n125*n38*(pow(alpha, NP0*n0 - n6*n78)*n53*n6*n66/n73 - pow(alpha, n0*n14 - n6*n78)*n18*n21*n43/(n42*n74) + pow(alpha, n0*n14 - n6*n78)*n43*n53*n6/(n42*n74) + n70) + n131 + n132 + n133 + n134 + n135 + n136 + n137 + n168 + n169 + n170 + n171 + n172 + n173 + n174 + n176 + n11*n148*n38*n40*xF[1]/n107 + n38*n49*xF[6]*(pow(alpha, NP0*n0 - n78*n9)*n53*n66*n9/n73 - pow(alpha, n0*n14 - n78*n9)*n18*n24*n43/(n42*n74) + pow(alpha, n0*n14 - n78*n9)*n43*n53*n9/(n42*n74) + n71)/n105 + n72*(pow(alpha, NP0*n0 - n78*n8)*n53*n66*n8/n73 - pow(alpha, n0*n14 - n78*n8)*n18*n23*n43/(n42*n74) + pow(alpha, n0*n14 - n78*n8)*n43*n53*n8/(n42*n74) + n18*n23*n35)/n104 + n38*n65*(pow(alpha, NP0*n0 - n7*n78)*n53*n66*n7/n73 - pow(alpha, n0*n14 - n7*n78)*n18*n22*n43/(n42*n74) + pow(alpha, n0*n14 - n7*n78)*n43*n53*n7/(n42*n74) + n68)/n103 + n38*n50*xF[2]*(pow(alpha, NP0*n0 - n5*n78)*n5*n53*n66/n73 - pow(alpha, n0*n14 - n5*n78)*n18*n20*n43/(n42*n74) + pow(alpha, n0*n14 - n5*n78)*n43*n5*n53/(n42*n74) + n67)/n101 + n38*n64*(pow(alpha, NP0*n0 - n4*n78)*n4*n53*n66/n73 - pow(alpha, n0*n14 - n4*n78)*n18*n19*n43/(n42*n74) + pow(alpha, n0*n14 - n4*n78)*n4*n43*n53/(n42*n74) + n18*n19*n31)/n100) - 0.5*n38*n39*xF[0]*(pow(alpha, NP0*n0 - n0*n78)*n61*n66/n73 + n69)/n99) - n38*xTj*(n1*n113*n56 + n1*n114*n54 + n1*n115*n58 + n117*n60*xF[0] + n119*n55 + n120*n59 + n121*n57 + n125*n143 + n16*n39*(pow(alpha, NP0*n0 - n0*n78)*n0*n1*n66/n73 + n1*n60)/n99 + n160*n63 + n161*n64 + n163*n49 + n158/n103 + n154*n50/n101);
      NP_2a = -n38*(-1.0*n126 - 2.0*n139*n41*n61*xF[0]/n99 + n159*n69 + 1.0*xTj*(n1*n11*n16*n60*(pow(alpha, NP0*n0 - n0*n78)*n0*n1*n66/n73 + n1*n60)/n99 + n11*n118*n157 + n11*n123*n147 + n11*n124*n150 + n11*n165 + n11*n152*n47*xF[5]/n111 + n11*n151*n46*xF[4]/n110 + n113*n71 + n114*n67 + n115*n68 + n116*n70 + n125*(-pow(alpha, n0*n14 - n6*n78)*n18*n21*n43/(n42*n74) + pow(alpha, n0*n14 - n6*n78)*n43*n53*n6/(n42*n74) + n53*n76*n88 + n70) + n126 + n127 + n128 + n16*n39*(pow(alpha, NP0*n0 - n0*n78)*n61*n66/n73 + n69)/n99 + n11*n148*n40*xF[1]/n107 + n26*n56*xF[6]*(pow(alpha, NP0*n0 - n78*n9)*n1*n66*n9/n73 + n1*n56)/n105 + n49*xF[6]*(-pow(alpha, n0*n14 - n78*n9)*n18*n24*n43/(n42*n74) + pow(alpha, n0*n14 - n78*n9)*n43*n53*n9/(n42*n74) + n53*n76*n89 + n71)/n105 + n26*n55*xF[5]*(pow(alpha, NP0*n0 - n78*n8)*n1*n66*n8/n73 + n1*n55)/n104 + n63*(-pow(alpha, n0*n14 - n78*n8)*n18*n23*n43/(n42*n74) + pow(alpha, n0*n14 - n78*n8)*n43*n53*n8/(n42*n74) + n18*n23*n35 + n53*n76*n90)/n104 + n26*n58*xF[4]*(pow(alpha, NP0*n0 - n7*n78)*n1*n66*n7/n73 + n1*n58)/n103 + n65*(-pow(alpha, n0*n14 - n7*n78)*n18*n22*n43/(n42*n74) + pow(alpha, n0*n14 - n7*n78)*n43*n53*n7/(n42*n74) + n53*n76*n87 + n68)/n103 + n26*n57*xF[3]*(pow(alpha, NP0*n0 - n6*n78)*n1*n6*n66/n73 + n1*n57)/n102 + n26*n54*xF[2]*(pow(alpha, NP0*n0 - n5*n78)*n1*n5*n66/n73 + n1*n54)/n101 + n50*xF[2]*(-pow(alpha, n0*n14 - n5*n78)*n18*n20*n43/(n42*n74) + pow(alpha, n0*n14 - n5*n78)*n43*n5*n53/(n42*n74) + n53*n76*n91 + n67)/n101 + n26*n59*xF[1]*(pow(alpha, NP0*n0 - n4*n78)*n1*n4*n66/n73 + n1*n59)/n100 + n64*(-pow(alpha, n0*n14 - n4*n78)*n18*n19*n43/(n42*n74) + pow(alpha, n0*n14 - n4*n78)*n4*n43*n53/(n42*n74) + n18*n19*n31 + n53*n76*n86)/n100) + n11*pow(n139, -n11)*n16*n39*n41*n61/n106);
      NP_sqrt_base = (NP0*(n178 - n192) + n122*n38*xF[0] + xTj*(n113*n38*n49 + n114*n38*n50 - n116*n38*n45 + n122*n16*n38 + n38*n64/n93 + n38*n65/n96 + n72/n97) + pow(NP0, -n11)*(-1.0*n1*n164*n38*n60 + 0.5*n123*n140*n155*n38 - 0.5*n131 + 0.5*n166*n38*xF[0] + 0.5*n194*xTj))*(4.0*n1*n164*n38*n60 - n11*n176 + n11*n194*xTj - 4.0*n123*n147*n38 + 2.0*n131) + pow(-n130 - n14*(1.0*n1*n38*n60*xF[0]*(pow(alpha, NP0*n0 - n0*n78)*n0*n1*n66/n73 + n1*n60)/n99 - 0.5*n123*n38*(pow(alpha, NP0*n0 - n0*n78)*n0*n1*n66/n73 + n1*n60)*(pow(alpha, NP0*n0 - n0*n78)*n0*n26*n66/n73 + n26*n60) + n138 + n27*(n118*n38*n49*(pow(alpha, NP0*n0 - n78*n9)*n1*n66*n9/n73 + n1*n56)*(pow(alpha, NP0*n0 - n78*n9)*n26*n66*n9/n73 + n26*n56) - n124*n38*(pow(alpha, NP0*n0 - n6*n78)*n1*n6*n66/n73 + n1*n57)*(pow(alpha, NP0*n0 - n6*n78)*n26*n6*n66/n73 + n26*n57) + n125*n38*(pow(alpha, NP0*n0 - n6*n78)*n53*n6*n66/n73 - pow(alpha, n0*n14 - n6*n78)*n18*n21*n43/(n42*n74) + pow(alpha, n0*n14 - n6*n78)*n43*n53*n6/(n42*n74) + n70) + n131 + n132 + n133 + n134 + n135 + n136 + n137 + n168 + n169 + n170 + n171 + n172 + n173 + n174 + n176 + n72*(pow(alpha, NP0*n0 - n78*n8)*n1*n66*n8/n73 + n1*n55)*(pow(alpha, NP0*n0 - n78*n8)*n26*n66*n8/n73 + n26*n55)/n111 + n38*n65*(pow(alpha, NP0*n0 - n7*n78)*n1*n66*n7/n73 + n1*n58)*(pow(alpha, NP0*n0 - n7*n78)*n26*n66*n7/n73 + n26*n58)/n110 + n38*n50*xF[2]*(pow(alpha, NP0*n0 - n5*n78)*n1*n5*n66/n73 + n1*n54)*(pow(alpha, NP0*n0 - n5*n78)*n26*n5*n66/n73 + n26*n54)/n108 + n38*n64*(pow(alpha, NP0*n0 - n4*n78)*n1*n4*n66/n73 + n1*n59)*(pow(alpha, NP0*n0 - n4*n78)*n26*n4*n66/n73 + n26*n59)/n107 + n16*n38*n39*(pow(alpha, NP0*n0 - n0*n78)*n0*n1*n66/n73 + n1*n60)*(pow(alpha, NP0*n0 - n0*n78)*n0*n26*n66/n73 + n26*n60)/n106 + n38*n49*xF[6]*(pow(alpha, NP0*n0 - n78*n9)*n53*n66*n9/n73 - pow(alpha, n0*n14 - n78*n9)*n18*n24*n43/(n42*n74) + pow(alpha, n0*n14 - n78*n9)*n43*n53*n9/(n42*n74) + n71)/n105 + n72*(pow(alpha, NP0*n0 - n78*n8)*n53*n66*n8/n73 - pow(alpha, n0*n14 - n78*n8)*n18*n23*n43/(n42*n74) + pow(alpha, n0*n14 - n78*n8)*n43*n53*n8/(n42*n74) + n18*n23*n35)/n104 + n38*n65*(pow(alpha, NP0*n0 - n7*n78)*n53*n66*n7/n73 - pow(alpha, n0*n14 - n7*n78)*n18*n22*n43/(n42*n74) + pow(alpha, n0*n14 - n7*n78)*n43*n53*n7/(n42*n74) + n68)/n103 + n38*n50*xF[2]*(pow(alpha, NP0*n0 - n5*n78)*n5*n53*n66/n73 - pow(alpha, n0*n14 - n5*n78)*n18*n20*n43/(n42*n74) + pow(alpha, n0*n14 - n5*n78)*n43*n5*n53/(n42*n74) + n67)/n101 + n38*n64*(pow(alpha, NP0*n0 - n4*n78)*n4*n53*n66/n73 - pow(alpha, n0*n14 - n4*n78)*n18*n19*n43/(n42*n74) + pow(alpha, n0*n14 - n4*n78)*n4*n43*n53/(n42*n74) + n18*n19*n31)/n100) - 0.5*n38*n39*xF[0]*(pow(alpha, NP0*n0 - n0*n78)*n61*n66/n73 + n69)/n99) - n164*n38*n39 - n192, -n11);
      NP_sqrt_base = fabs(NP_sqrt_base);
      NP1 = (-NP_b - sqrt(NP_sqrt_base))/NP_2a;
      NT1 = n52*(n75 - log(-pow(alpha, NP1*n0)*n66 + 1));
      g0 = MW[1] - Mstar;
      g1 = MW[0] - Mstar;
      g2 = NT1 + 1;
      g3 = xPj - xTj;
      g4 = MW[2] - Mstar;
      g5 = MW[3] - Mstar;
      g6 = MW[4] - Mstar;
      g7 = MW[5] - Mstar;
      g8 = MW[6] - Mstar;
      g9 = xF[0] - xTj;
      g10 = xF[0] - xPj;
      g11 = -xTj;
      g12 = xPj/xF[1];
      g13 = pow(alpha, -g1);
      g14 = pow(alpha, -g0);
      g15 = pow(alpha, -g4);
      g16 = pow(alpha, -g5);
      g17 = pow(alpha, -g6);
      g18 = pow(alpha, -g7);
      g19 = pow(alpha, -g8);
      g20 = log(xF[0]/xF[1]);
      g21 = -g2;
      g22 = pow(alpha, NP1*g0);
      g23 = pow(alpha, NP1*g1);
      g24 = log(g13);
      g25 = pow(alpha, NP1*g4);
      g26 = pow(alpha, NP1*g5);
      g27 = pow(alpha, NP1*g6);
      g28 = pow(alpha, NP1*g7);
      g29 = pow(alpha, NP1*g8);
      g30 = -g20;
      g31 = g9/g3;
      g32 = g3/g9;
      g33 = -g22 + 1;
      g34 = -g22 + 1;
      g35 = -g23 + 1;
      g36 = -g25 + 1;
      g37 = -g26 + 1;
      g38 = -g27 + 1;
      g39 = -g28 + 1;
      g40 = -g29 + 1;
      g41 = -g23;
      g42 = -g25;
      g43 = -g26;
      g44 = -g27;
      g45 = -g28;
      g46 = -g29;
      g47 = -1.0*g20;
      g48 = -g3/g10;
      g49 = g10/(g3*xF[1]);
      g50 = pow(alpha, g0*g21) - 1;
      g51 = pow(alpha, g0*g21) - 1;
      g52 = pow(alpha, g1*g21) - 1;
      g53 = pow(alpha, g21*g4) - 1;
      g54 = pow(alpha, g21*g5) - 1;
      g55 = pow(alpha, g21*g6) - 1;
      g56 = pow(alpha, g21*g7) - 1;
      g57 = pow(alpha, g21*g8) - 1;
      g58 = -pow(alpha, g1*g21);
      g59 = -pow(alpha, g21*g4);
      g60 = -pow(alpha, g21*g5);
      g61 = -pow(alpha, g21*g6);
      g62 = -pow(alpha, g21*g7);
      g63 = -pow(alpha, g21*g8);
      g64 = g34 + g51;
      g65 = -g23 - g58;
      g66 = -g25 - g59;
      g67 = -g26 - g60;
      g68 = -g27 - g61;
      g69 = -g28 - g62;
      g70 = -g29 - g63;
      g71 = pow(alpha, g1*g21) + g41;
      g72 = g34 + g51;
      g73 = pow(alpha, g21*g4) + g42;
      g74 = pow(alpha, g21*g5) + g43;
      g75 = pow(alpha, g21*g6) + g44;
      g76 = pow(alpha, g21*g7) + g45;
      g77 = pow(alpha, g21*g8) + g46;
      g78 = xF[0]/g71;
      g79 = xF[1]/g72;
      g80 = xF[2]/g73;
      g81 = xF[3]/g74;
      g82 = xF[6]/g77;
      g83 = xF[4]/g75;
      g84 = xF[5]/g76;
      g85 = xF[1]/g64;
      g86 = xF[0]/g65;
      g87 = xF[4]/g68;
      g88 = xF[5]/g69;
      g89 = xF[2]/g66;
      g90 = xF[6]/g70;
      g91 = xF[3]/g67;
      g92 = g40/g70;
      g93 = g38/g68;
      g94 = g35/g65;
      g95 = g39/g69;
      g96 = g37/g67;
      g97 = g33/g64;
      g98 = g36/g66;
      g99 = g50/g64;
      g100 = g52/g65;
      g101 = g56/g69;
      g102 = g53/g66;
      g103 = g54/g67;
      g104 = g55/g68;
      g105 = g57/g70;
      g106 = log(g11*g49*g72/g34);
      g107 = log(g11*g49*g64/g33);
      g108 = log(g12*g31*g72/g51);
      g109 = 1.0*g106;
      g110 = log(g12*g31*g64/g50);
      g111 = 1.0*g108;
      g112 = -g109*g34*g79 - g109*g78*(g41 + 1) - g109*g80*(g42 + 1) - g109*g81*(g43 + 1) - g109*g82*(g46 + 1) - g109*g83*(g44 + 1) - g109*g84*(g45 + 1) - g111*g51*g79 - g111*g78*(pow(alpha, g1*g21) - 1) - g111*g80*(pow(alpha, g21*g4) - 1) - g111*g81*(pow(alpha, g21*g5) - 1) - g111*g82*(pow(alpha, g21*g8) - 1) - g111*g83*(pow(alpha, g21*g6) - 1) - g111*g84*(pow(alpha, g21*g7) - 1) - g47*xF[0] - g47*xF[1] - g47*xF[2] - g47*xF[3] - g47*xF[4] - g47*xF[5] - g47*xF[6];
      LpF = xF[0]*(g13 + 1.0)*(g100*g110 + g107*g94 + g30)/(g24*(g13 - 1.0)) + xF[1]*(g14 + 1.0)*(g107*g97 + g110*g99 + g30)/(g24*(g14 - 1.0)) + xF[2]*(g15 + 1.0)*(g102*g110 + g107*g98 + g30)/(g24*(g15 - 1.0)) + xF[3]*(g16 + 1.0)*(g103*g110 + g107*g96 + g30)/(g24*(g16 - 1.0)) + xF[4]*(g17 + 1.0)*(g104*g110 + g107*g93 + g30)/(g24*(g17 - 1.0)) + xF[5]*(g18 + 1.0)*(g101*g110 + g107*g95 + g30)/(g24*(g18 - 1.0)) + xF[6]*(g19 + 1.0)*(g105*g110 + g107*g92 + g30)/(g24*(g19 - 1.0));
      PpF = g31;
      TpF = -g10/g3;
      SWUpF = g112;
      SWUpP = g112*g32;
      xP[0] = g32*g52*g86;
      xP[1] = g32*g50*g85;
      xP[2] = g32*g53*g89;
      xP[3] = g32*g54*g91;
      xP[4] = g32*g55*g87;
      xP[5] = g32*g56*g88;
      xP[6] = g32*g57*g90;
      xT[0] = g35*g48*g86;
      xT[1] = g33*g48*g85;
      xT[2] = g36*g48*g89;
      xT[3] = g37*g48*g91;
      xT[4] = g38*g48*g87;
      xT[5] = g39*g48*g88;
      xT[6] = g40*g48*g90;
      break;
    case 8:
      n0 = -0.500000000000000;
      n1 = -2.00000000000000;
      n2 = MW[0] - Mstar;
      n3 = log(alpha);
      n4 = xPj - xTj;
      n5 = xF[0] - xPj;
      n6 = MW[1] - Mstar;
      n7 = MW[2] - Mstar;
      n8 = MW[3] - Mstar;
      n9 = MW[4] - Mstar;
      n10 = MW[5] - Mstar;
      n11 = MW[6] - Mstar;
      n12 = MW[7] - Mstar;
      n13 = log(xTj);
      n14 = -2;
      n15 = xF[0]*xPj;
      n16 = -Mstar;
      n17 = -xPj;
      n18 = -NP0*n1;
      n19 = -xTj;
      n20 = pow(n2, -n1);
      n21 = pow(n3, -n1);
      n22 = pow(n6, -n1);
      n23 = pow(n7, -n1);
      n24 = pow(n8, -n1);
      n25 = pow(n9, -n1);
      n26 = pow(n10, -n1);
      n27 = pow(n11, -n1);
      n28 = pow(n12, -n1);
      n29 = Mstar*n3;
      n30 = -n1*n3;
      n31 = pow(alpha, NP0*n2);
      n32 = n15 + n19*xF[0];
      n33 = n15 + n17*xTj;
      n34 = pow(alpha, NP0*n6);
      n35 = pow(alpha, NP0*n7);
      n36 = pow(alpha, NP0*n8);
      n37 = pow(alpha, NP0*n9);
      n38 = pow(alpha, NP0*n10);
      n39 = pow(alpha, NP0*n11);
      n40 = pow(alpha, NP0*n12);
      n41 = -MW[0]*n3;
      n42 = n4/n5;
      n43 = -n31 + 1;
      n44 = -n34 + 1;
      n45 = pow(alpha, n18*n2);
      n46 = pow(n33, -n1);
      n47 = -n35 + 1;
      n48 = -n36 + 1;
      n49 = -n37 + 1;
      n50 = -n38 + 1;
      n51 = -n39 + 1;
      n52 = -n40 + 1;
      n53 = -n31;
      n54 = -n34;
      n55 = -n35;
      n56 = -n36;
      n57 = -n37;
      n58 = -n38;
      n59 = -n39;
      n60 = -n40;
      n61 = n2*n21;
      n62 = 1/(n2*n3);
      n63 = n47*xF[2];
      n64 = n35*n7;
      n65 = n10*n38;
      n66 = n44*xF[1];
      n67 = n49*xF[4];
      n68 = n51*xF[6];
      n69 = n11*n39;
      n70 = n36*n8;
      n71 = n34*n6;
      n72 = n37*n9;
      n73 = n12*n40;
      n74 = n20*n21;
      n75 = log((-1.0 + xPj/xF[0])/n4);
      n76 = -n50*xF[5];
      n77 = n2*n3*n31;
      n78 = n3*n73;
      n79 = n33/n32;
      n80 = n21*n23*n35;
      n81 = n21*n25*n37;
      n82 = n21*n26*n38;
      n83 = n31*n74;
      n84 = n21*n28*n40;
      n85 = n21*n24*n36;
      n86 = n21*n27*n39;
      n87 = n21*n22*n34;
      n88 = n53*n79 + 1;
      n89 = n13 + n29 + n41 + n75;
      n90 = n31*n79/n88;
      n91 = n21*pow(n32, n14)*n45*n46*pow(n88, n14);
      n92 = n62*(n89 - log(n88)) + 1;
      n93 = pow(alpha, n2*n92);
      n94 = pow(alpha, n6*n92);
      n95 = pow(alpha, n7*n92);
      n96 = pow(alpha, n8*n92);
      n97 = pow(alpha, n9*n92);
      n98 = pow(alpha, n10*n92);
      n99 = pow(alpha, n11*n92);
      n100 = pow(alpha, n12*n92);
      n101 = n6/n94;
      n102 = n9/n97;
      n103 = n8/n96;
      n104 = n12/n100;
      n105 = n11/n99;
      n106 = n10/n98;
      n107 = n2/n93;
      n108 = n7/n95;
      n109 = n43 - 1 + 1.0/n93;
      n110 = n44 - 1 + 1.0/n94;
      n111 = n47 - 1 + 1.0/n95;
      n112 = n48 - 1 + 1.0/n96;
      n113 = n49 - 1 + 1.0/n97;
      n114 = n50 - 1 + 1.0/n98;
      n115 = n51 - 1 + 1.0/n99;
      n116 = n52 - 1 + 1.0/n100;
      n117 = pow(n109, 3);
      n118 = pow(n110, 3);
      n119 = pow(n111, 3);
      n120 = pow(n112, 3);
      n121 = pow(n113, 3);
      n122 = pow(n114, 3);
      n123 = pow(n115, 3);
      n124 = pow(n116, 3);
      n125 = xF[6]/n115;
      n126 = xF[7]/n116;
      n127 = xF[1]/n110;
      n128 = xF[2]/n111;
      n129 = xF[0]/n109;
      n130 = xF[5]/n114;
      n131 = xF[4]/n113;
      n132 = xF[3]/n112;
      n133 = pow(n109, n14)*xF[0];
      n134 = n130*n3;
      n135 = -pow(n110, n14);
      n136 = n132*n3;
      n137 = n43*xF[0]/n117;
      n138 = n52*xF[7]/n124;
      n139 = pow(n116, n14)*n52*xF[7];
      n140 = -pow(n112, n14)*n48*xF[3];
      n141 = n129*n83;
      n142 = n129*n2*n3*n42*n53;
      n143 = n141*n42;
      n144 = n127*n42*n87;
      n145 = n128*n42*n80;
      n146 = n132*n42*n85;
      n147 = n131*n42*n81;
      n148 = n130*n42*n82;
      n149 = n125*n42*n86;
      n150 = n126*n42*n84;
      n151 = n0*n129*n42*n53*n74;
      n152 = n79/(n88*n93) + 1;
      n153 = n152*n43;
      n154 = n77*n79/(n88*n93) + n77;
      n155 = n101*n3*n90 + n3*n71;
      n156 = n108*n3*n90 + n3*n64;
      n157 = n103*n3*n90 + n3*n70;
      n158 = n102*n3*n90 + n3*n72;
      n159 = n106*n3*n90 + n3*n65;
      n160 = n105*n3*n90 + n3*n69;
      n161 = n104*n3*n90 + n78;
      n162 = pow(n154, -n1);
      n163 = pow(n155, -n1);
      n164 = pow(n156, -n1);
      n165 = pow(n157, -n1);
      n166 = pow(n158, -n1);
      n167 = pow(n159, -n1);
      n168 = pow(n160, -n1);
      n169 = pow(n161, -n1);
      n170 = n157*xF[3];
      n171 = n107*n30*n90 + n2*n30*n31;
      n172 = n79*n83/(n88*n93) + n83;
      n173 = -n158*n67;
      n174 = n172*n43;
      n175 = pow(n114, n14)*n159;
      n176 = pow(n111, n14)*n156;
      n177 = pow(n115, n14)*n160;
      n178 = n166/n121;
      n179 = n168/n123;
      n180 = pow(n113, n14)*n158*xF[4];
      n181 = n164/n119;
      n182 = pow(n110, n14)*n155*xF[1];
      n183 = n163/n118;
      n184 = pow(n116, n14)*n161*xF[7];
      n185 = n165*n48*xF[3]/n120;
      n186 = n133*n154*n42*n43;
      n187 = n133*n2*n30*n31*n42*(pow(alpha, NP0*n2 - n2*n92)*n2*n3*n79/n88 + n77);
      n188 = pow(n110, n14)*n30*n42*n71*xF[1]*(pow(alpha, NP0*n2 - n6*n92)*n3*n6*n79/n88 + n3*n71);
      n189 = pow(n111, n14)*n30*n42*n64*xF[2]*(pow(alpha, NP0*n2 - n7*n92)*n3*n7*n79/n88 + n3*n64);
      n190 = pow(n112, n14)*n30*n42*n70*xF[3]*(pow(alpha, NP0*n2 - n8*n92)*n3*n79*n8/n88 + n3*n70);
      n191 = pow(n113, n14)*n30*n42*n72*xF[4]*(pow(alpha, NP0*n2 - n9*n92)*n3*n79*n9/n88 + n3*n72);
      n192 = pow(n114, n14)*n30*n42*n65*xF[5]*(pow(alpha, NP0*n2 - n10*n92)*n10*n3*n79/n88 + n3*n65);
      n193 = pow(n115, n14)*n30*n42*n69*xF[6]*(pow(alpha, NP0*n2 - n11*n92)*n11*n3*n79/n88 + n3*n69);
      n194 = pow(n116, n14)*n30*n42*n73*xF[7]*(pow(alpha, NP0*n2 - n12*n92)*n12*n3*n79/n88 + n78);
      n195 = 1.0*n133*n154*n42*n77;
      n196 = -n133*n174*n42;
      n197 = n0*n133*n174*n42;
      n198 = n154*n171;
      n199 = n108*pow(n32, n14)*n45*n46*n61*pow(n88, n14) + n108*n61*n90 - n23*n91/n95 + n80;
      n200 = n102*pow(n32, n14)*n45*n46*n61*pow(n88, n14) + n102*n61*n90 - n25*n91/n97 + n81;
      n201 = n106*pow(n32, n14)*n45*n46*n61*pow(n88, n14) + n106*n61*n90 - n26*n91/n98 + n82;
      n202 = n105*pow(n32, n14)*n45*n46*n61*pow(n88, n14) + n105*n61*n90 - n27*n91/n99 + n86;
      n203 = n135*n42*n66*(-pow(alpha, n18*n2 - n6*n92)*n21*n22*pow(n32, n14)*n46*pow(n88, n14) + pow(alpha, n18*n2 - n6*n92)*pow(n32, n14)*n46*n6*n61*pow(n88, n14) + n101*n61*n90 + n87);
      n204 = -pow(n111, n14)*n42*n63*(-pow(alpha, n18*n2 - n7*n92)*n21*n23*pow(n32, n14)*n46*pow(n88, n14) + pow(alpha, n18*n2 - n7*n92)*pow(n32, n14)*n46*n61*n7*pow(n88, n14) + n108*n61*n90 + n80);
      n205 = n140*n42*(-pow(alpha, n18*n2 - n8*n92)*n21*n24*pow(n32, n14)*n46*pow(n88, n14) + pow(alpha, n18*n2 - n8*n92)*pow(n32, n14)*n46*n61*n8*pow(n88, n14) + n103*n61*n90 + n85);
      n206 = -pow(n113, n14)*n42*n67*(-pow(alpha, n18*n2 - n9*n92)*n21*n25*pow(n32, n14)*n46*pow(n88, n14) + pow(alpha, n18*n2 - n9*n92)*pow(n32, n14)*n46*n61*pow(n88, n14)*n9 + n102*n61*n90 + n81);
      n207 = pow(n114, n14)*n42*n76*(pow(alpha, -n10*n92 + n18*n2)*n10*pow(n32, n14)*n46*n61*pow(n88, n14) - pow(alpha, -n10*n92 + n18*n2)*n21*n26*pow(n32, n14)*n46*pow(n88, n14) + n106*n61*n90 + n82);
      n208 = -pow(n115, n14)*n42*n68*(pow(alpha, -n11*n92 + n18*n2)*n11*pow(n32, n14)*n46*n61*pow(n88, n14) - pow(alpha, -n11*n92 + n18*n2)*n21*n27*pow(n32, n14)*n46*pow(n88, n14) + n105*n61*n90 + n86);
      n209 = -n139*n42*(pow(alpha, -n12*n92 + n18*n2)*n12*pow(n32, n14)*n46*n61*pow(n88, n14) - pow(alpha, -n12*n92 + n18*n2)*n21*n28*pow(n32, n14)*n46*pow(n88, n14) + n104*n61*n90 + n84);
      n210 = n151 + n195 + n197;
      n211 = xTj*(pow(n113, n14)*n173*n42 + n125*n3*n42*n69 + n126*n42*n78 + n127*n3*n42*n71 + n128*n3*n42*n64 + n129*n42*n77 + n131*n3*n42*n72 + n134*n42*n65 + n135*n155*n42*n66 + n136*n42*n70 - n139*n161*n42 + n140*n157*n42 + n175*n42*n76 - n176*n42*n63 - n177*n42*n68 - n186);
      n212 = n142 + n186 + n211;
      n213 = n143 + n144 + n145 + n146 + n147 + n148 + n149 + n150 + n187 + n188 + n189 + n190 + n191 + n192 + n193 + n194 + n196 + n203 + n204 + n205 + n206 + n207 + n208 + n209;
      NP_b = -n133*n153*n42*n77 - n142 - n18*(n0*n133*n42*n43*(pow(alpha, NP0*n2 - n2*n92)*n74*n79/n88 + n83) + n0*xTj*(-pow(n111, n14)*n42*n63*(pow(alpha, NP0*n2 - n7*n92)*n61*n7*n79/n88 - pow(alpha, n18*n2 - n7*n92)*n21*n23*pow(n32, n14)*n46*pow(n88, n14) + pow(alpha, n18*n2 - n7*n92)*pow(n32, n14)*n46*n61*n7*pow(n88, n14) + n80) - pow(n113, n14)*n42*n67*(pow(alpha, NP0*n2 - n9*n92)*n61*n79*n9/n88 - pow(alpha, n18*n2 - n9*n92)*n21*n25*pow(n32, n14)*n46*pow(n88, n14) + pow(alpha, n18*n2 - n9*n92)*pow(n32, n14)*n46*n61*pow(n88, n14)*n9 + n81) + pow(n114, n14)*n42*n76*(pow(alpha, NP0*n2 - n10*n92)*n10*n61*n79/n88 + pow(alpha, -n10*n92 + n18*n2)*n10*pow(n32, n14)*n46*n61*pow(n88, n14) - pow(alpha, -n10*n92 + n18*n2)*n21*n26*pow(n32, n14)*n46*pow(n88, n14) + n82) - pow(n115, n14)*n42*n68*(pow(alpha, NP0*n2 - n11*n92)*n11*n61*n79/n88 + pow(alpha, -n11*n92 + n18*n2)*n11*pow(n32, n14)*n46*n61*pow(n88, n14) - pow(alpha, -n11*n92 + n18*n2)*n21*n27*pow(n32, n14)*n46*pow(n88, n14) + n86) - n133*n42*n43*(pow(alpha, NP0*n2 - n2*n92)*n74*n79/n88 + n83) + n135*n42*n66*(pow(alpha, NP0*n2 - n6*n92)*n6*n61*n79/n88 - pow(alpha, n18*n2 - n6*n92)*n21*n22*pow(n32, n14)*n46*pow(n88, n14) + pow(alpha, n18*n2 - n6*n92)*pow(n32, n14)*n46*n6*n61*pow(n88, n14) + n87) + n137*n14*n162*n42 + n138*n14*n169*n42 - n139*n42*(pow(alpha, NP0*n2 - n12*n92)*n12*n61*n79/n88 + pow(alpha, -n12*n92 + n18*n2)*n12*pow(n32, n14)*n46*n61*pow(n88, n14) - pow(alpha, -n12*n92 + n18*n2)*n21*n28*pow(n32, n14)*n46*pow(n88, n14) + n84) + n14*n178*n42*n67 + n14*n179*n42*n68 + n14*n181*n42*n63 + n14*n183*n42*n66 + n14*n185*n42 + n140*n42*(pow(alpha, NP0*n2 - n8*n92)*n61*n79*n8/n88 - pow(alpha, n18*n2 - n8*n92)*n21*n24*pow(n32, n14)*n46*pow(n88, n14) + pow(alpha, n18*n2 - n8*n92)*pow(n32, n14)*n46*n61*n8*pow(n88, n14) + n85) + n143 + n144 + n145 + n146 + n147 + n148 + n149 + n150 + n187 + n188 + n189 + n190 + n191 + n192 + n193 + n194 + n14*n167*n42*n50*xF[5]/n122) + 1.0*n133*n42*n77*(pow(alpha, NP0*n2 - n2*n92)*n2*n3*n79/n88 + n77) - 1.0*n137*n162*n42 + n151) - n42*xTj*(pow(n113, n14)*n173 + n125*n3*n69 + n126*n78 + n127*n3*n71 + n128*n3*n64 + n129*n77 + n131*n3*n72 - n133*n154*n43 + n134*n65 + n135*n155*n66 + n136*n70 - n139*n161 + n140*n157 + n175*n76 - n176*n63 - n177*n68);
      NP_2a = -n42*(n1*n133*n152*n45*n74 - n1*n137*pow(n152, -n1)*n45*n74 + n133*n153*n83 - 1.0*n141 + 1.0*xTj*(pow(n110, n14)*n30*n71*xF[1]*(pow(alpha, NP0*n2 - n6*n92)*n3*n6*n79/n88 + n3*n71) + pow(n111, n14)*n30*n64*xF[2]*(pow(alpha, NP0*n2 - n7*n92)*n3*n7*n79/n88 + n3*n64) - pow(n111, n14)*n63*(-pow(alpha, n18*n2 - n7*n92)*n21*n23*pow(n32, n14)*n46*pow(n88, n14) + pow(alpha, n18*n2 - n7*n92)*pow(n32, n14)*n46*n61*n7*pow(n88, n14) + n108*n61*n90 + n80) + pow(n112, n14)*n30*n70*xF[3]*(pow(alpha, NP0*n2 - n8*n92)*n3*n79*n8/n88 + n3*n70) + pow(n113, n14)*n30*n72*xF[4]*(pow(alpha, NP0*n2 - n9*n92)*n3*n79*n9/n88 + n3*n72) - pow(n113, n14)*n67*(-pow(alpha, n18*n2 - n9*n92)*n21*n25*pow(n32, n14)*n46*pow(n88, n14) + pow(alpha, n18*n2 - n9*n92)*pow(n32, n14)*n46*n61*pow(n88, n14)*n9 + n102*n61*n90 + n81) + pow(n114, n14)*n30*n65*xF[5]*(pow(alpha, NP0*n2 - n10*n92)*n10*n3*n79/n88 + n3*n65) + pow(n114, n14)*n76*(pow(alpha, -n10*n92 + n18*n2)*n10*pow(n32, n14)*n46*n61*pow(n88, n14) - pow(alpha, -n10*n92 + n18*n2)*n21*n26*pow(n32, n14)*n46*pow(n88, n14) + n106*n61*n90 + n82) + pow(n115, n14)*n30*n69*xF[6]*(pow(alpha, NP0*n2 - n11*n92)*n11*n3*n79/n88 + n3*n69) - pow(n115, n14)*n68*(pow(alpha, -n11*n92 + n18*n2)*n11*pow(n32, n14)*n46*n61*pow(n88, n14) - pow(alpha, -n11*n92 + n18*n2)*n21*n27*pow(n32, n14)*n46*pow(n88, n14) + n105*n61*n90 + n86) + pow(n116, n14)*n30*n73*xF[7]*(pow(alpha, NP0*n2 - n12*n92)*n12*n3*n79/n88 + n78) + n125*n86 + n126*n84 + n127*n87 + n128*n80 + n130*n82 + n131*n81 + n132*n85 - n133*n174 + n133*n2*n30*n31*(pow(alpha, NP0*n2 - n2*n92)*n2*n3*n79/n88 + n77) + n135*n66*(-pow(alpha, n18*n2 - n6*n92)*n21*n22*pow(n32, n14)*n46*pow(n88, n14) + pow(alpha, n18*n2 - n6*n92)*pow(n32, n14)*n46*n6*n61*pow(n88, n14) + n101*n61*n90 + n87) + n137*n14*n162 + n138*n14*n169 - n139*(pow(alpha, -n12*n92 + n18*n2)*n12*pow(n32, n14)*n46*n61*pow(n88, n14) - pow(alpha, -n12*n92 + n18*n2)*n21*n28*pow(n32, n14)*n46*pow(n88, n14) + n104*n61*n90 + n84) + n14*n178*n67 + n14*n179*n68 + n14*n181*n63 + n14*n183*n66 + n14*n185 + n140*(-pow(alpha, n18*n2 - n8*n92)*n21*n24*pow(n32, n14)*n46*pow(n88, n14) + pow(alpha, n18*n2 - n8*n92)*pow(n32, n14)*n46*n61*n8*pow(n88, n14) + n103*n61*n90 + n85) + n141 + n14*n167*n50*xF[5]/n122));
      NP_sqrt_base = (-NP0*n212 - n19*(-n42*n43*xF[0]/(n43 - 1 + pow(alpha, -n2*(n62*(n89 - log(n33*n53/(n15 - xF[0]*xTj) + 1)) + 1))) - n42*n48*xF[3]/(n48 - 1 + pow(alpha, -n8*(n62*(n89 - log(n33*n53/(n15 - xF[0]*xTj) + 1)) + 1))) - n42*n50*xF[5]/(n50 - 1 + pow(alpha, -n10*(n62*(n89 - log(n33*n53/(n15 - xF[0]*xTj) + 1)) + 1))) - n42*n52*xF[7]/(n52 - 1 + pow(alpha, -n12*(n62*(n89 - log(n33*n53/(n15 - xF[0]*xTj) + 1)) + 1))) - n42*n63/(n47 - 1 + pow(alpha, -n7*(n62*(n89 - log(n33*n53/(n15 - xF[0]*xTj) + 1)) + 1))) - n42*n66/(n44 - 1 + pow(alpha, -n6*(n62*(n89 - log(n33*n53/(n15 - xF[0]*xTj) + 1)) + 1))) - n42*n67/(n49 - 1 + pow(alpha, -n9*(n62*(n89 - log(n33*n53/(n15 - xF[0]*xTj) + 1)) + 1))) - n42*n68/(n51 - 1 + pow(alpha, -n11*(n62*(n89 - log(n33*n53/(n15 - xF[0]*xTj) + 1)) + 1)))) + n42*n43*xF[0]/n109 - pow(NP0, -n1)*(n0*n137*n198*n42 - n0*n143 - n0*n19*(-pow(n111, n14)*n42*n63*(pow(alpha, NP0*n2 - n7*n92)*n61*n7*n79/n88 - pow(alpha, n18*n2 - n7*n92)*n21*n23*pow(n32, n14)*n46*pow(n88, n14) + pow(alpha, n18*n2 - n7*n92)*pow(n32, n14)*n46*n61*n7*pow(n88, n14) + n80) - pow(n113, n14)*n42*n67*(pow(alpha, NP0*n2 - n9*n92)*n61*n79*n9/n88 - pow(alpha, n18*n2 - n9*n92)*n21*n25*pow(n32, n14)*n46*pow(n88, n14) + pow(alpha, n18*n2 - n9*n92)*pow(n32, n14)*n46*n61*pow(n88, n14)*n9 + n81) + pow(n114, n14)*n42*n76*(pow(alpha, NP0*n2 - n10*n92)*n10*n61*n79/n88 + pow(alpha, -n10*n92 + n18*n2)*n10*pow(n32, n14)*n46*n61*pow(n88, n14) - pow(alpha, -n10*n92 + n18*n2)*n21*n26*pow(n32, n14)*n46*pow(n88, n14) + n82) - pow(n115, n14)*n42*n68*(pow(alpha, NP0*n2 - n11*n92)*n11*n61*n79/n88 + pow(alpha, -n11*n92 + n18*n2)*n11*pow(n32, n14)*n46*n61*pow(n88, n14) - pow(alpha, -n11*n92 + n18*n2)*n21*n27*pow(n32, n14)*n46*pow(n88, n14) + n86) - n133*n42*n43*(pow(alpha, NP0*n2 - n2*n92)*n74*n79/n88 + n83) + n135*n42*n66*(pow(alpha, NP0*n2 - n6*n92)*n6*n61*n79/n88 - pow(alpha, n18*n2 - n6*n92)*n21*n22*pow(n32, n14)*n46*pow(n88, n14) + pow(alpha, n18*n2 - n6*n92)*pow(n32, n14)*n46*n6*n61*pow(n88, n14) + n87) - n137*n42*(pow(alpha, NP0*n2 - n2*n92)*n2*n3*n79/n88 + n77)*(pow(alpha, NP0*n2 - n2*n92)*n2*n30*n79/n88 + n2*n30*n31) - n138*n42*(pow(alpha, NP0*n2 - n12*n92)*n12*n3*n79/n88 + n78)*(pow(alpha, NP0*n2 - n12*n92)*n12*n30*n79/n88 + n30*n73) - n139*n42*(pow(alpha, NP0*n2 - n12*n92)*n12*n61*n79/n88 + pow(alpha, -n12*n92 + n18*n2)*n12*pow(n32, n14)*n46*n61*pow(n88, n14) - pow(alpha, -n12*n92 + n18*n2)*n21*n28*pow(n32, n14)*n46*pow(n88, n14) + n84) + n140*n42*(pow(alpha, NP0*n2 - n8*n92)*n61*n79*n8/n88 - pow(alpha, n18*n2 - n8*n92)*n21*n24*pow(n32, n14)*n46*pow(n88, n14) + pow(alpha, n18*n2 - n8*n92)*pow(n32, n14)*n46*n61*n8*pow(n88, n14) + n85) + n143 + n144 + n145 + n146 + n147 + n148 + n149 + n150 + n187 + n188 + n189 + n190 + n191 + n192 + n193 + n194 - n42*n68*(pow(alpha, NP0*n2 - n11*n92)*n11*n3*n79/n88 + n3*n69)*(pow(alpha, NP0*n2 - n11*n92)*n11*n30*n79/n88 + n30*n69)/n123 + n42*n76*(pow(alpha, NP0*n2 - n10*n92)*n10*n3*n79/n88 + n3*n65)*(pow(alpha, NP0*n2 - n10*n92)*n10*n30*n79/n88 + n30*n65)/n122 - n42*n67*(pow(alpha, NP0*n2 - n9*n92)*n3*n79*n9/n88 + n3*n72)*(pow(alpha, NP0*n2 - n9*n92)*n30*n79*n9/n88 + n30*n72)/n121 - n42*n48*xF[3]*(pow(alpha, NP0*n2 - n8*n92)*n3*n79*n8/n88 + n3*n70)*(pow(alpha, NP0*n2 - n8*n92)*n30*n79*n8/n88 + n30*n70)/n120 - n42*n63*(pow(alpha, NP0*n2 - n7*n92)*n3*n7*n79/n88 + n3*n64)*(pow(alpha, NP0*n2 - n7*n92)*n30*n7*n79/n88 + n30*n64)/n119 - n42*n66*(pow(alpha, NP0*n2 - n6*n92)*n3*n6*n79/n88 + n3*n71)*(pow(alpha, NP0*n2 - n6*n92)*n30*n6*n79/n88 + n30*n71)/n118) - n0*n196 + 1.0*n133*n154*n42*n77))*(-n1*n143 - n1*n19*(-pow(n111, n14)*n42*n63*(pow(alpha, NP0*n2 - n7*n92)*n61*n7*n79/n88 - pow(alpha, n18*n2 - n7*n92)*n21*n23*pow(n32, n14)*n46*pow(n88, n14) + pow(alpha, n18*n2 - n7*n92)*pow(n32, n14)*n46*n61*n7*pow(n88, n14) + n80) - pow(n113, n14)*n42*n67*(pow(alpha, NP0*n2 - n9*n92)*n61*n79*n9/n88 - pow(alpha, n18*n2 - n9*n92)*n21*n25*pow(n32, n14)*n46*pow(n88, n14) + pow(alpha, n18*n2 - n9*n92)*pow(n32, n14)*n46*n61*pow(n88, n14)*n9 + n81) + pow(n114, n14)*n42*n76*(pow(alpha, NP0*n2 - n10*n92)*n10*n61*n79/n88 + pow(alpha, -n10*n92 + n18*n2)*n10*pow(n32, n14)*n46*n61*pow(n88, n14) - pow(alpha, -n10*n92 + n18*n2)*n21*n26*pow(n32, n14)*n46*pow(n88, n14) + n82) - pow(n115, n14)*n42*n68*(pow(alpha, NP0*n2 - n11*n92)*n11*n61*n79/n88 + pow(alpha, -n11*n92 + n18*n2)*n11*pow(n32, n14)*n46*n61*pow(n88, n14) - pow(alpha, -n11*n92 + n18*n2)*n21*n27*pow(n32, n14)*n46*pow(n88, n14) + n86) - n133*n42*n43*(pow(alpha, NP0*n2 - n2*n92)*n74*n79/n88 + n83) + n135*n42*n66*(pow(alpha, NP0*n2 - n6*n92)*n6*n61*n79/n88 - pow(alpha, n18*n2 - n6*n92)*n21*n22*pow(n32, n14)*n46*pow(n88, n14) + pow(alpha, n18*n2 - n6*n92)*pow(n32, n14)*n46*n6*n61*pow(n88, n14) + n87) - n137*n42*(pow(alpha, NP0*n2 - n2*n92)*n2*n3*n79/n88 + n77)*(pow(alpha, NP0*n2 - n2*n92)*n2*n30*n79/n88 + n2*n30*n31) - n138*n42*(pow(alpha, NP0*n2 - n12*n92)*n12*n3*n79/n88 + n78)*(pow(alpha, NP0*n2 - n12*n92)*n12*n30*n79/n88 + n30*n73) - n139*n42*(pow(alpha, NP0*n2 - n12*n92)*n12*n61*n79/n88 + pow(alpha, -n12*n92 + n18*n2)*n12*pow(n32, n14)*n46*n61*pow(n88, n14) - pow(alpha, -n12*n92 + n18*n2)*n21*n28*pow(n32, n14)*n46*pow(n88, n14) + n84) + n140*n42*(pow(alpha, NP0*n2 - n8*n92)*n61*n79*n8/n88 - pow(alpha, n18*n2 - n8*n92)*n21*n24*pow(n32, n14)*n46*pow(n88, n14) + pow(alpha, n18*n2 - n8*n92)*pow(n32, n14)*n46*n61*n8*pow(n88, n14) + n85) + n143 + n144 + n145 + n146 + n147 + n148 + n149 + n150 + n187 + n188 + n189 + n190 + n191 + n192 + n193 + n194 - n42*n68*(pow(alpha, NP0*n2 - n11*n92)*n11*n3*n79/n88 + n3*n69)*(pow(alpha, NP0*n2 - n11*n92)*n11*n30*n79/n88 + n30*n69)/n123 + n42*n76*(pow(alpha, NP0*n2 - n10*n92)*n10*n3*n79/n88 + n3*n65)*(pow(alpha, NP0*n2 - n10*n92)*n10*n30*n79/n88 + n30*n65)/n122 - n42*n67*(pow(alpha, NP0*n2 - n9*n92)*n3*n79*n9/n88 + n3*n72)*(pow(alpha, NP0*n2 - n9*n92)*n30*n79*n9/n88 + n30*n72)/n121 - n42*n48*xF[3]*(pow(alpha, NP0*n2 - n8*n92)*n3*n79*n8/n88 + n3*n70)*(pow(alpha, NP0*n2 - n8*n92)*n30*n79*n8/n88 + n30*n70)/n120 - n42*n63*(pow(alpha, NP0*n2 - n7*n92)*n3*n7*n79/n88 + n3*n64)*(pow(alpha, NP0*n2 - n7*n92)*n30*n7*n79/n88 + n30*n64)/n119 - n42*n66*(pow(alpha, NP0*n2 - n6*n92)*n3*n6*n79/n88 + n3*n71)*(pow(alpha, NP0*n2 - n6*n92)*n30*n6*n79/n88 + n30*n71)/n118) - n1*n196 + 4.0*n133*n154*n42*n77 - 4.0*n137*n162*n42) + pow(-n18*(n0*n133*n42*n43*(pow(alpha, NP0*n2 - n2*n92)*n74*n79/n88 + n83) + n0*n137*n42*(pow(alpha, NP0*n2 - n2*n92)*n2*n3*n79/n88 + n77)*(pow(alpha, NP0*n2 - n2*n92)*n2*n30*n79/n88 + n2*n30*n31) + n0*xTj*(-pow(n111, n14)*n42*n63*(pow(alpha, NP0*n2 - n7*n92)*n61*n7*n79/n88 - pow(alpha, n18*n2 - n7*n92)*n21*n23*pow(n32, n14)*n46*pow(n88, n14) + pow(alpha, n18*n2 - n7*n92)*pow(n32, n14)*n46*n61*n7*pow(n88, n14) + n80) - pow(n113, n14)*n42*n67*(pow(alpha, NP0*n2 - n9*n92)*n61*n79*n9/n88 - pow(alpha, n18*n2 - n9*n92)*n21*n25*pow(n32, n14)*n46*pow(n88, n14) + pow(alpha, n18*n2 - n9*n92)*pow(n32, n14)*n46*n61*pow(n88, n14)*n9 + n81) + pow(n114, n14)*n42*n76*(pow(alpha, NP0*n2 - n10*n92)*n10*n61*n79/n88 + pow(alpha, -n10*n92 + n18*n2)*n10*pow(n32, n14)*n46*n61*pow(n88, n14) - pow(alpha, -n10*n92 + n18*n2)*n21*n26*pow(n32, n14)*n46*pow(n88, n14) + n82) - pow(n115, n14)*n42*n68*(pow(alpha, NP0*n2 - n11*n92)*n11*n61*n79/n88 + pow(alpha, -n11*n92 + n18*n2)*n11*pow(n32, n14)*n46*n61*pow(n88, n14) - pow(alpha, -n11*n92 + n18*n2)*n21*n27*pow(n32, n14)*n46*pow(n88, n14) + n86) - n133*n42*n43*(pow(alpha, NP0*n2 - n2*n92)*n74*n79/n88 + n83) + n135*n42*n66*(pow(alpha, NP0*n2 - n6*n92)*n6*n61*n79/n88 - pow(alpha, n18*n2 - n6*n92)*n21*n22*pow(n32, n14)*n46*pow(n88, n14) + pow(alpha, n18*n2 - n6*n92)*pow(n32, n14)*n46*n6*n61*pow(n88, n14) + n87) - n137*n42*(pow(alpha, NP0*n2 - n2*n92)*n2*n3*n79/n88 + n77)*(pow(alpha, NP0*n2 - n2*n92)*n2*n30*n79/n88 + n2*n30*n31) - n138*n42*(pow(alpha, NP0*n2 - n12*n92)*n12*n3*n79/n88 + n78)*(pow(alpha, NP0*n2 - n12*n92)*n12*n30*n79/n88 + n30*n73) - n139*n42*(pow(alpha, NP0*n2 - n12*n92)*n12*n61*n79/n88 + pow(alpha, -n12*n92 + n18*n2)*n12*pow(n32, n14)*n46*n61*pow(n88, n14) - pow(alpha, -n12*n92 + n18*n2)*n21*n28*pow(n32, n14)*n46*pow(n88, n14) + n84) + n140*n42*(pow(alpha, NP0*n2 - n8*n92)*n61*n79*n8/n88 - pow(alpha, n18*n2 - n8*n92)*n21*n24*pow(n32, n14)*n46*pow(n88, n14) + pow(alpha, n18*n2 - n8*n92)*pow(n32, n14)*n46*n61*n8*pow(n88, n14) + n85) + n143 + n144 + n145 + n146 + n147 + n148 + n149 + n150 + n187 + n188 + n189 + n190 + n191 + n192 + n193 + n194 - n42*n68*(pow(alpha, NP0*n2 - n11*n92)*n11*n3*n79/n88 + n3*n69)*(pow(alpha, NP0*n2 - n11*n92)*n11*n30*n79/n88 + n30*n69)/n123 + n42*n76*(pow(alpha, NP0*n2 - n10*n92)*n10*n3*n79/n88 + n3*n65)*(pow(alpha, NP0*n2 - n10*n92)*n10*n30*n79/n88 + n30*n65)/n122 - n42*n67*(pow(alpha, NP0*n2 - n9*n92)*n3*n79*n9/n88 + n3*n72)*(pow(alpha, NP0*n2 - n9*n92)*n30*n79*n9/n88 + n30*n72)/n121 - n42*n48*xF[3]*(pow(alpha, NP0*n2 - n8*n92)*n3*n79*n8/n88 + n3*n70)*(pow(alpha, NP0*n2 - n8*n92)*n30*n79*n8/n88 + n30*n70)/n120 - n42*n63*(pow(alpha, NP0*n2 - n7*n92)*n3*n7*n79/n88 + n3*n64)*(pow(alpha, NP0*n2 - n7*n92)*n30*n7*n79/n88 + n30*n64)/n119 - n42*n66*(pow(alpha, NP0*n2 - n6*n92)*n3*n6*n79/n88 + n3*n71)*(pow(alpha, NP0*n2 - n6*n92)*n30*n6*n79/n88 + n30*n71)/n118) + 1.0*n133*n42*n77*(pow(alpha, NP0*n2 - n2*n92)*n2*n3*n79/n88 + n77) + n151) - n212, -n1);
      NP_sqrt_base = fabs(NP_sqrt_base);
      NP1 = (-NP_b - pow(NP_sqrt_base, -n0))/NP_2a;
      NT1 = n62*(n89 - log(-pow(alpha, NP1*n2)*n79 + 1));
      g0 = MW[1] - Mstar;
      g1 = MW[0] - Mstar;
      g2 = NT1 + 1;
      g3 = xPj - xTj;
      g4 = MW[2] - Mstar;
      g5 = MW[3] - Mstar;
      g6 = MW[4] - Mstar;
      g7 = MW[5] - Mstar;
      g8 = MW[6] - Mstar;
      g9 = MW[7] - Mstar;
      g10 = xF[0] - xTj;
      g11 = xF[0] - xPj;
      g12 = -xTj;
      g13 = xPj/xF[1];
      g14 = pow(alpha, -g1);
      g15 = pow(alpha, -g0);
      g16 = pow(alpha, -g4);
      g17 = pow(alpha, -g5);
      g18 = pow(alpha, -g6);
      g19 = pow(alpha, -g7);
      g20 = pow(alpha, -g8);
      g21 = pow(alpha, -g9);
      g22 = log(xF[0]/xF[1]);
      g23 = -g2;
      g24 = pow(alpha, NP1*g0);
      g25 = pow(alpha, NP1*g1);
      g26 = log(g14);
      g27 = pow(alpha, NP1*g4);
      g28 = pow(alpha, NP1*g5);
      g29 = pow(alpha, NP1*g6);
      g30 = pow(alpha, NP1*g7);
      g31 = pow(alpha, NP1*g8);
      g32 = pow(alpha, NP1*g9);
      g33 = -g22;
      g34 = g10/g3;
      g35 = g3/g10;
      g36 = -g24 + 1;
      g37 = -g24 + 1;
      g38 = -g25 + 1;
      g39 = -g27 + 1;
      g40 = -g28 + 1;
      g41 = -g29 + 1;
      g42 = -g30 + 1;
      g43 = -g31 + 1;
      g44 = -g32 + 1;
      g45 = -g25;
      g46 = -g27;
      g47 = -g28;
      g48 = -g29;
      g49 = -g30;
      g50 = -g31;
      g51 = -g32;
      g52 = -1.0*g22;
      g53 = -g3/g11;
      g54 = g11/(g3*xF[1]);
      g55 = pow(alpha, g0*g23) - 1;
      g56 = pow(alpha, g0*g23) - 1;
      g57 = pow(alpha, g1*g23) - 1;
      g58 = pow(alpha, g23*g4) - 1;
      g59 = pow(alpha, g23*g5) - 1;
      g60 = pow(alpha, g23*g6) - 1;
      g61 = pow(alpha, g23*g7) - 1;
      g62 = pow(alpha, g23*g8) - 1;
      g63 = pow(alpha, g23*g9) - 1;
      g64 = -pow(alpha, g1*g23);
      g65 = -pow(alpha, g23*g4);
      g66 = -pow(alpha, g23*g5);
      g67 = -pow(alpha, g23*g6);
      g68 = -pow(alpha, g23*g7);
      g69 = -pow(alpha, g23*g8);
      g70 = -pow(alpha, g23*g9);
      g71 = g37 + g56;
      g72 = -g25 - g64;
      g73 = -g27 - g65;
      g74 = -g28 - g66;
      g75 = -g29 - g67;
      g76 = -g30 - g68;
      g77 = -g31 - g69;
      g78 = -g32 - g70;
      g79 = pow(alpha, g1*g23) + g45;
      g80 = g37 + g56;
      g81 = pow(alpha, g23*g4) + g46;
      g82 = pow(alpha, g23*g5) + g47;
      g83 = pow(alpha, g23*g6) + g48;
      g84 = pow(alpha, g23*g7) + g49;
      g85 = pow(alpha, g23*g8) + g50;
      g86 = pow(alpha, g23*g9) + g51;
      g87 = xF[0]/g79;
      g88 = xF[1]/g80;
      g89 = xF[2]/g81;
      g90 = xF[3]/g82;
      g91 = xF[6]/g85;
      g92 = xF[7]/g86;
      g93 = xF[4]/g83;
      g94 = xF[5]/g84;
      g95 = xF[1]/g71;
      g96 = xF[0]/g72;
      g97 = xF[4]/g75;
      g98 = xF[5]/g76;
      g99 = xF[7]/g78;
      g100 = xF[2]/g73;
      g101 = xF[6]/g77;
      g102 = xF[3]/g74;
      g103 = g43/g77;
      g104 = g41/g75;
      g105 = g44/g78;
      g106 = g38/g72;
      g107 = g42/g76;
      g108 = g40/g74;
      g109 = g36/g71;
      g110 = g39/g73;
      g111 = g55/g71;
      g112 = g57/g72;
      g113 = g61/g76;
      g114 = g58/g73;
      g115 = g59/g74;
      g116 = g60/g75;
      g117 = g62/g77;
      g118 = g63/g78;
      g119 = log(g12*g54*g80/g37);
      g120 = log(g12*g54*g71/g36);
      g121 = log(g13*g34*g80/g56);
      g122 = 1.0*g119;
      g123 = log(g13*g34*g71/g55);
      g124 = 1.0*g121;
      g125 = -g122*g37*g88 - g122*g87*(g45 + 1) - g122*g89*(g46 + 1) - g122*g90*(g47 + 1) - g122*g91*(g50 + 1) - g122*g92*(g51 + 1) - g122*g93*(g48 + 1) - g122*g94*(g49 + 1) - g124*g56*g88 - g124*g87*(pow(alpha, g1*g23) - 1) - g124*g89*(pow(alpha, g23*g4) - 1) - g124*g90*(pow(alpha, g23*g5) - 1) - g124*g91*(pow(alpha, g23*g8) - 1) - g124*g92*(pow(alpha, g23*g9) - 1) - g124*g93*(pow(alpha, g23*g6) - 1) - g124*g94*(pow(alpha, g23*g7) - 1) - g52*xF[0] - g52*xF[1] - g52*xF[2] - g52*xF[3] - g52*xF[4] - g52*xF[5] - g52*xF[6] - g52*xF[7];
      LpF = xF[0]*(g14 + 1.0)*(g106*g120 + g112*g123 + g33)/(g26*(g14 - 1.0)) + xF[1]*(g15 + 1.0)*(g109*g120 + g111*g123 + g33)/(g26*(g15 - 1.0)) + xF[2]*(g16 + 1.0)*(g110*g120 + g114*g123 + g33)/(g26*(g16 - 1.0)) + xF[3]*(g17 + 1.0)*(g108*g120 + g115*g123 + g33)/(g26*(g17 - 1.0)) + xF[4]*(g18 + 1.0)*(g104*g120 + g116*g123 + g33)/(g26*(g18 - 1.0)) + xF[5]*(g19 + 1.0)*(g107*g120 + g113*g123 + g33)/(g26*(g19 - 1.0)) + xF[6]*(g20 + 1.0)*(g103*g120 + g117*g123 + g33)/(g26*(g20 - 1.0)) + xF[7]*(g21 + 1.0)*(g105*g120 + g118*g123 + g33)/(g26*(g21 - 1.0));
      PpF = g34;
      TpF = -g11/g3;
      SWUpF = g125;
      SWUpP = g125*g35;
      xP[0] = g35*g57*g96;
      xP[1] = g35*g55*g95;
      xP[2] = g100*g35*g58;
      xP[3] = g102*g35*g59;
      xP[4] = g35*g60*g97;
      xP[5] = g35*g61*g98;
      xP[6] = g101*g35*g62;
      xP[7] = g35*g63*g99;
      xT[0] = g38*g53*g96;
      xT[1] = g36*g53*g95;
      xT[2] = g100*g39*g53;
      xT[3] = g102*g40*g53;
      xT[4] = g41*g53*g97;
      xT[5] = g42*g53*g98;
      xT[6] = g101*g43*g53;
      xT[7] = g44*g53*g99;
      break;
    case 9:
      n0 = MW[0] - Mstar;
      n1 = log(alpha);
      n2 = xPj - xTj;
      n3 = xF[0] - xPj;
      n4 = MW[1] - Mstar;
      n5 = MW[2] - Mstar;
      n6 = MW[3] - Mstar;
      n7 = MW[4] - Mstar;
      n8 = MW[5] - Mstar;
      n9 = MW[6] - Mstar;
      n10 = MW[7] - Mstar;
      n11 = MW[8] - Mstar;
      n12 = log(xTj);
      n13 = -2;
      n14 = xF[0]*xPj;
      n15 = -Mstar;
      n16 = -xPj;
      n17 = -NP0*n13;
      n18 = -xF[0];
      n19 = -xTj;
      n20 = pow(n0, -n13);
      n21 = pow(n1, -n13);
      n22 = pow(n4, -n13);
      n23 = pow(n5, -n13);
      n24 = pow(n6, -n13);
      n25 = pow(n7, -n13);
      n26 = pow(n8, -n13);
      n27 = pow(n9, -n13);
      n28 = pow(n10, -n13);
      n29 = pow(n11, -n13);
      n30 = Mstar*n1;
      n31 = -n1*n13;
      n32 = pow(alpha, NP0*n0);
      n33 = n14 + n18*xTj;
      n34 = n14 + n16*xTj;
      n35 = pow(alpha, NP0*n4);
      n36 = pow(alpha, NP0*n5);
      n37 = pow(alpha, NP0*n6);
      n38 = pow(alpha, NP0*n7);
      n39 = pow(alpha, NP0*n8);
      n40 = pow(alpha, NP0*n9);
      n41 = pow(alpha, NP0*n10);
      n42 = pow(alpha, NP0*n11);
      n43 = -MW[0]*n1;
      n44 = n2/n3;
      n45 = n0*n1;
      n46 = -n32 + 1;
      n47 = -n35 + 1;
      n48 = pow(alpha, n0*n17);
      n49 = pow(n33, -n13);
      n50 = pow(n34, -n13);
      n51 = -n36 + 1;
      n52 = -n37 + 1;
      n53 = -n38 + 1;
      n54 = -n39 + 1;
      n55 = -n40 + 1;
      n56 = -n41 + 1;
      n57 = -n42 + 1;
      n58 = -n55;
      n59 = -n51;
      n60 = -n53;
      n61 = -n52;
      n62 = -n32;
      n63 = -n41;
      n64 = 1.0/n45;
      n65 = n0*n21;
      n66 = n20*n21;
      n67 = n36*n5;
      n68 = n39*n8;
      n69 = n57*xF[8];
      n70 = n40*n9;
      n71 = n37*n6;
      n72 = n35*n4;
      n73 = n38*n7;
      n74 = n11*n42;
      n75 = n10*n41;
      n76 = log((-1.0 + xPj/xF[0])/n2);
      n77 = -n54*xF[5];
      n78 = -n47*xF[1];
      n79 = n1*n74;
      n80 = n1*n75;
      n81 = n34/n33;
      n82 = n21*n23*n36;
      n83 = n21*n25*n38;
      n84 = n21*n29*n42;
      n85 = n21*n28*n41;
      n86 = n21*n24*n37;
      n87 = n21*n27*n40;
      n88 = n21*n22*n35;
      n89 = n44*n77;
      n90 = n62*n81 + 1;
      n91 = pow(n90, -n13);
      n92 = n12 + n30 + n43 + n76;
      n93 = n32*n81/n90;
      n94 = n21*n48*n50/(n49*n91);
      n95 = n64*(n92 - log(n90)) + 1;
      n96 = pow(alpha, n0*n95);
      n97 = pow(alpha, n4*n95);
      n98 = pow(alpha, n5*n95);
      n99 = pow(alpha, n6*n95);
      n100 = pow(alpha, n7*n95);
      n101 = pow(alpha, n8*n95);
      n102 = pow(alpha, n9*n95);
      n103 = pow(alpha, n10*n95);
      n104 = pow(alpha, n11*n95);
      n105 = n4/n97;
      n106 = n11/n104;
      n107 = n7/n100;
      n108 = n6/n99;
      n109 = n10/n103;
      n110 = n9/n102;
      n111 = n8/n101;
      n112 = n5/n98;
      n113 = n46 - 1 + 1.0/n96;
      n114 = n47 - 1 + 1.0/n97;
      n115 = n51 - 1 + 1.0/n98;
      n116 = n52 - 1 + 1.0/n99;
      n117 = n53 - 1 + 1.0/n100;
      n118 = n54 - 1 + 1.0/n101;
      n119 = n55 - 1 + 1.0/n102;
      n120 = n56 - 1 + 1.0/n103;
      n121 = n57 - 1 + 1.0/n104;
      n122 = pow(n113, -n13);
      n123 = pow(n114, -n13);
      n124 = pow(n115, -n13);
      n125 = pow(n116, -n13);
      n126 = pow(n117, -n13);
      n127 = pow(n118, -n13);
      n128 = pow(n119, -n13);
      n129 = pow(n120, -n13);
      n130 = pow(n121, -n13);
      n131 = pow(n113, 3);
      n132 = pow(n114, 3);
      n133 = pow(n115, 3);
      n134 = pow(n116, 3);
      n135 = pow(n117, 3);
      n136 = pow(n118, 3);
      n137 = pow(n119, 3);
      n138 = pow(n120, 3);
      n139 = pow(n121, 3);
      n140 = xF[8]/n121;
      n141 = xF[6]/n119;
      n142 = xF[7]/n120;
      n143 = xF[1]/n114;
      n144 = xF[2]/n115;
      n145 = xF[4]/n117;
      n146 = xF[3]/n116;
      n147 = xF[6]/n137;
      n148 = n1*xF[5]/n118;
      n149 = -1/n130;
      n150 = n1*n146;
      n151 = n32*xF[0]/n113;
      n152 = n46/n113;
      n153 = n32*xF[0]/n122;
      n154 = n56*xF[7]/n138;
      n155 = n56*xF[7]/n129;
      n156 = n61*xF[3]/n125;
      n157 = n21*n26*n39*xF[5]/n118;
      n158 = n151*n44/n64;
      n159 = n18*n32*n44/(n113*n64);
      n160 = n151*n44*n66;
      n161 = n143*n44*n88;
      n162 = n144*n44*n82;
      n163 = n146*n44*n86;
      n164 = n145*n44*n83;
      n165 = n157*n44;
      n166 = n141*n44*n87;
      n167 = n142*n44*n85;
      n168 = n140*n44*n84;
      n169 = 0.5*n160;
      n170 = n81/(n90*n96) + 1;
      n171 = n170*n46;
      n172 = n32/n64 + n93/(n64*n96);
      n173 = n1*n105*n93 + n1*n72;
      n174 = n1*n112*n93 + n1*n67;
      n175 = n1*n108*n93 + n1*n71;
      n176 = n1*n107*n93 + n1*n73;
      n177 = n1*n111*n93 + n1*n68;
      n178 = n1*n110*n93 + n1*n70;
      n179 = n1*n109*n93 + n80;
      n180 = n1*n106*n93 + n79;
      n181 = pow(n172, -n13);
      n182 = pow(n173, -n13);
      n183 = pow(n174, -n13);
      n184 = pow(n175, -n13);
      n185 = pow(n176, -n13);
      n186 = pow(n177, -n13);
      n187 = pow(n178, -n13);
      n188 = pow(n179, -n13);
      n189 = pow(n180, -n13);
      n190 = n174*xF[2];
      n191 = n175*xF[3];
      n192 = n0*n31*n32 + n0*n31*n93/n96;
      n193 = n32*n66 + n66*n93/n96;
      n194 = n172*n46;
      n195 = n187*n55;
      n196 = n176*n60*xF[4];
      n197 = n177/n127;
      n198 = n173/n123;
      n199 = n178*xF[6]/n128;
      n200 = n189/n139;
      n201 = n192/n131;
      n202 = n181*n46*xF[0]/n131;
      n203 = n184*n52*xF[3]/n134;
      n204 = n185*n53*xF[4]/n135;
      n205 = n183*n51*xF[2]/n133;
      n206 = n182*n47*xF[1]/n132;
      n207 = n193*n46/n122;
      n208 = n18*n44*n46*(pow(alpha, NP0*n0 - n0*n95)*n81/(n64*n90) + n32/n64)/n122;
      n209 = n13*n18*n32*n44*(pow(alpha, NP0*n0 - n0*n95)*n81/(n64*n90) + n32/n64)/(n122*n64);
      n210 = n31*n44*n72*xF[1]*(pow(alpha, NP0*n0 - n4*n95)*n1*n4*n81/n90 + n1*n72)/n123;
      n211 = n31*n44*n67*xF[2]*(pow(alpha, NP0*n0 - n5*n95)*n1*n5*n81/n90 + n1*n67)/n124;
      n212 = n31*n44*n71*xF[3]*(pow(alpha, NP0*n0 - n6*n95)*n1*n6*n81/n90 + n1*n71)/n125;
      n213 = n31*n44*n73*xF[4]*(pow(alpha, NP0*n0 - n7*n95)*n1*n7*n81/n90 + n1*n73)/n126;
      n214 = n31*n44*n68*xF[5]*(pow(alpha, NP0*n0 - n8*n95)*n1*n8*n81/n90 + n1*n68)/n127;
      n215 = n31*n44*n70*xF[6]*(pow(alpha, NP0*n0 - n9*n95)*n1*n81*n9/n90 + n1*n70)/n128;
      n216 = n31*n44*n75*xF[7]*(pow(alpha, NP0*n0 - n10*n95)*n1*n10*n81/n90 + n80)/n129;
      n217 = n31*n44*n74*xF[8]*(pow(alpha, NP0*n0 - n11*n95)*n1*n11*n81/n90 + n79)/n130;
      n218 = 1.0*n153*n172*n44/n64;
      n219 = n18*n44*n46*(pow(alpha, NP0*n0 - n0*n95)*n66*n81/n90 + n32*n66)/n122;
      n220 = -0.5*n207*n44*xF[0];
      n221 = n158 + n208;
      n222 = n105*n48*n50*n65/(n49*n91) + n105*n65*n93 - n22*n94/n97 + n88;
      n223 = n112*n48*n50*n65/(n49*n91) + n112*n65*n93 - n23*n94/n98 + n82;
      n224 = n107*n48*n50*n65/(n49*n91) + n107*n65*n93 + n83 - n25*n94/n100;
      n225 = n111*n48*n50*n65/(n49*n91) + n111*n65*n93 + n21*n26*n39 - n26*n94/n101;
      n226 = n110*n48*n50*n65/(n49*n91) + n110*n65*n93 + n87 - n27*n94/n102;
      n227 = n44*n78*(-pow(alpha, n0*n17 - n4*n95)*n21*n22*n50/(n49*n91) + pow(alpha, n0*n17 - n4*n95)*n4*n50*n65/(n49*n91) + n105*n65*n93 + n88)/n123;
      n228 = n44*n59*xF[2]*(-pow(alpha, n0*n17 - n5*n95)*n21*n23*n50/(n49*n91) + pow(alpha, n0*n17 - n5*n95)*n5*n50*n65/(n49*n91) + n112*n65*n93 + n82)/n124;
      n229 = n156*n44*(-pow(alpha, n0*n17 - n6*n95)*n21*n24*n50/(n49*n91) + pow(alpha, n0*n17 - n6*n95)*n50*n6*n65/(n49*n91) + n108*n65*n93 + n86);
      n230 = n44*n60*xF[4]*(-pow(alpha, n0*n17 - n7*n95)*n21*n25*n50/(n49*n91) + pow(alpha, n0*n17 - n7*n95)*n50*n65*n7/(n49*n91) + n107*n65*n93 + n83)/n126;
      n231 = n89*(-pow(alpha, n0*n17 - n8*n95)*n21*n26*n50/(n49*n91) + pow(alpha, n0*n17 - n8*n95)*n50*n65*n8/(n49*n91) + n111*n65*n93 + n21*n26*n39)/n127;
      n232 = n44*n58*xF[6]*(-pow(alpha, n0*n17 - n9*n95)*n21*n27*n50/(n49*n91) + pow(alpha, n0*n17 - n9*n95)*n50*n65*n9/(n49*n91) + n110*n65*n93 + n87)/n128;
      n233 = -n155*n44*(pow(alpha, n0*n17 - n10*n95)*n10*n50*n65/(n49*n91) - pow(alpha, n0*n17 - n10*n95)*n21*n28*n50/(n49*n91) + n109*n65*n93 + n85);
      n234 = n149*n44*n69*(pow(alpha, n0*n17 - n11*n95)*n11*n50*n65/(n49*n91) - pow(alpha, n0*n17 - n11*n95)*n21*n29*n50/(n49*n91) + n106*n65*n93 + n84);
      n235 = n169 + n218 + n220;
      n236 = n1*n141*n44*n70 + n1*n143*n44*n72 + n1*n144*n44*n67 + n1*n145*n44*n73 + n140*n44*n79 + n142*n44*n80 + n148*n44*n68 + n149*n180*n44*n69 + n150*n44*n71 - n155*n179*n44 + n156*n175*n44 + n197*n89 + n198*n44*n78 + n199*n44*n58 + n221 + n196*n44/n126 + n190*n44*n59/n124;
      n237 = n236*xTj;
      n238 = n160 + n161 + n162 + n163 + n164 + n165 + n166 + n167 + n168 + n209 + n210 + n211 + n212 + n213 + n214 + n215 + n216 + n217 + n219 + n227 + n228 + n229 + n230 + n231 + n232 + n233 + n234;
      n239 = n147*n178*n44*n58*(n110*n31*n93 + n31*n70) - n154*n179*n44*(n109*n31*n93 + n31*n75) + n238 - n180*n44*n69*(n106*n31*n93 + n31*n74)/n139 + n177*n89*(n111*n31*n93 + n31*n68)/n136 + n196*n44*(n107*n31*n93 + n31*n73)/n135 + n191*n44*n61*(n108*n31*n93 + n31*n71)/n134 + n190*n44*n59*(n112*n31*n93 + n31*n67)/n133 + n173*n44*n78*(n105*n31*n93 + n31*n72)/n132 + n18*n44*n46*(pow(alpha, NP0*n0 - n0*n95)*n81/(n64*n90) + n32/n64)*(pow(alpha, NP0*n0 - n0*n95)*n0*n31*n81/n90 + n0*n31*n32)/n131;
      NP_b = -n153*n171*n44/n64 - n159 - n17*(1.0*n153*n44*(pow(alpha, NP0*n0 - n0*n95)*n81/(n64*n90) + n32/n64)/n64 + n169 - 1.0*n202*n44 - 0.5*xTj*(n13*n147*n195*n44 + n13*n154*n188*n44 + n13*n200*n44*n69 + n13*n202*n44 + n13*n203*n44 + n13*n204*n44 + n13*n205*n44 + n13*n206*n44 + n13*n186*n44*n54*xF[5]/n136 + n149*n44*n69*(pow(alpha, NP0*n0 - n11*n95)*n11*n65*n81/n90 + pow(alpha, n0*n17 - n11*n95)*n11*n50*n65/(n49*n91) - pow(alpha, n0*n17 - n11*n95)*n21*n29*n50/(n49*n91) + n84) - n155*n44*(pow(alpha, NP0*n0 - n10*n95)*n10*n65*n81/n90 + pow(alpha, n0*n17 - n10*n95)*n10*n50*n65/(n49*n91) - pow(alpha, n0*n17 - n10*n95)*n21*n28*n50/(n49*n91) + n85) + n156*n44*(pow(alpha, NP0*n0 - n6*n95)*n6*n65*n81/n90 - pow(alpha, n0*n17 - n6*n95)*n21*n24*n50/(n49*n91) + pow(alpha, n0*n17 - n6*n95)*n50*n6*n65/(n49*n91) + n86) + n160 + n161 + n162 + n163 + n164 + n165 + n166 + n167 + n168 + n209 + n210 + n211 + n212 + n213 + n214 + n215 + n216 + n217 + n219 + n44*n58*xF[6]*(pow(alpha, NP0*n0 - n9*n95)*n65*n81*n9/n90 - pow(alpha, n0*n17 - n9*n95)*n21*n27*n50/(n49*n91) + pow(alpha, n0*n17 - n9*n95)*n50*n65*n9/(n49*n91) + n87)/n128 + n89*(pow(alpha, NP0*n0 - n8*n95)*n65*n8*n81/n90 - pow(alpha, n0*n17 - n8*n95)*n21*n26*n50/(n49*n91) + pow(alpha, n0*n17 - n8*n95)*n50*n65*n8/(n49*n91) + n21*n26*n39)/n127 + n44*n60*xF[4]*(pow(alpha, NP0*n0 - n7*n95)*n65*n7*n81/n90 - pow(alpha, n0*n17 - n7*n95)*n21*n25*n50/(n49*n91) + pow(alpha, n0*n17 - n7*n95)*n50*n65*n7/(n49*n91) + n83)/n126 + n44*n59*xF[2]*(pow(alpha, NP0*n0 - n5*n95)*n5*n65*n81/n90 - pow(alpha, n0*n17 - n5*n95)*n21*n23*n50/(n49*n91) + pow(alpha, n0*n17 - n5*n95)*n5*n50*n65/(n49*n91) + n82)/n124 + n44*n78*(pow(alpha, NP0*n0 - n4*n95)*n4*n65*n81/n90 - pow(alpha, n0*n17 - n4*n95)*n21*n22*n50/(n49*n91) + pow(alpha, n0*n17 - n4*n95)*n4*n50*n65/(n49*n91) + n88)/n123) - 0.5*n44*n46*xF[0]*(pow(alpha, NP0*n0 - n0*n95)*n66*n81/n90 + n32*n66)/n122) - n44*xTj*(n1*n141*n70 + n1*n143*n72 + n1*n144*n67 + n1*n145*n73 + n140*n79 + n142*n80 + n148*n68 + n149*n180*n69 + n150*n71 + n151/n64 - n155*n179 + n156*n175 + n197*n77 + n198*n78 + n199*n58 + n196/n126 + n190*n59/n124 + n18*n46*(pow(alpha, NP0*n0 - n0*n95)*n81/(n64*n90) + n32/n64)/n122);
      NP_2a = -n44*(n13*pow(n170, -n13)*n18*n46*n48*n66/n131 - 1.0*n151*n66 + n153*n171*n66 + 1.0*xTj*(n13*n147*n195 + n13*n154*n188 + n13*n200*n69 + n13*n202 + n13*n203 + n13*n204 + n13*n205 + n13*n206 + n13*n186*n54*xF[5]/n136 + n140*n84 + n141*n87 + n142*n85 + n143*n88 + n144*n82 + n145*n83 + n146*n86 + n149*n69*(pow(alpha, n0*n17 - n11*n95)*n11*n50*n65/(n49*n91) - pow(alpha, n0*n17 - n11*n95)*n21*n29*n50/(n49*n91) + n106*n65*n93 + n84) + n151*n66 - n155*(pow(alpha, n0*n17 - n10*n95)*n10*n50*n65/(n49*n91) - pow(alpha, n0*n17 - n10*n95)*n21*n28*n50/(n49*n91) + n109*n65*n93 + n85) + n156*(-pow(alpha, n0*n17 - n6*n95)*n21*n24*n50/(n49*n91) + pow(alpha, n0*n17 - n6*n95)*n50*n6*n65/(n49*n91) + n108*n65*n93 + n86) + n157 + n31*n74*xF[8]*(pow(alpha, NP0*n0 - n11*n95)*n1*n11*n81/n90 + n79)/n130 + n31*n75*xF[7]*(pow(alpha, NP0*n0 - n10*n95)*n1*n10*n81/n90 + n80)/n129 + n31*n70*xF[6]*(pow(alpha, NP0*n0 - n9*n95)*n1*n81*n9/n90 + n1*n70)/n128 + n58*xF[6]*(-pow(alpha, n0*n17 - n9*n95)*n21*n27*n50/(n49*n91) + pow(alpha, n0*n17 - n9*n95)*n50*n65*n9/(n49*n91) + n110*n65*n93 + n87)/n128 + n31*n68*xF[5]*(pow(alpha, NP0*n0 - n8*n95)*n1*n8*n81/n90 + n1*n68)/n127 + n77*(-pow(alpha, n0*n17 - n8*n95)*n21*n26*n50/(n49*n91) + pow(alpha, n0*n17 - n8*n95)*n50*n65*n8/(n49*n91) + n111*n65*n93 + n21*n26*n39)/n127 + n31*n73*xF[4]*(pow(alpha, NP0*n0 - n7*n95)*n1*n7*n81/n90 + n1*n73)/n126 + n60*xF[4]*(-pow(alpha, n0*n17 - n7*n95)*n21*n25*n50/(n49*n91) + pow(alpha, n0*n17 - n7*n95)*n50*n65*n7/(n49*n91) + n107*n65*n93 + n83)/n126 + n31*n71*xF[3]*(pow(alpha, NP0*n0 - n6*n95)*n1*n6*n81/n90 + n1*n71)/n125 + n31*n67*xF[2]*(pow(alpha, NP0*n0 - n5*n95)*n1*n5*n81/n90 + n1*n67)/n124 + n59*xF[2]*(-pow(alpha, n0*n17 - n5*n95)*n21*n23*n50/(n49*n91) + pow(alpha, n0*n17 - n5*n95)*n5*n50*n65/(n49*n91) + n112*n65*n93 + n82)/n124 + n31*n72*xF[1]*(pow(alpha, NP0*n0 - n4*n95)*n1*n4*n81/n90 + n1*n72)/n123 + n78*(-pow(alpha, n0*n17 - n4*n95)*n21*n22*n50/(n49*n91) + pow(alpha, n0*n17 - n4*n95)*n4*n50*n65/(n49*n91) + n105*n65*n93 + n88)/n123 + n13*n18*n32*(pow(alpha, NP0*n0 - n0*n95)*n81/(n64*n90) + n32/n64)/(n122*n64) + n18*n46*(pow(alpha, NP0*n0 - n0*n95)*n66*n81/n90 + n32*n66)/n122) - 2.0*n170*n48*n66*xF[0]/n122);
      NP_sqrt_base = (NP0*(n19*(n1*n141*n44*n70 + n1*n143*n44*n72 + n1*n144*n44*n67 + n1*n145*n44*n73 + n140*n44*n79 + n142*n44*n80 + n148*n44*n68 + n149*n44*n69*(pow(alpha, NP0*n0 - n11*n95)*n1*n11*n81/n90 + n79) + n150*n44*n71 - n155*n44*(pow(alpha, NP0*n0 - n10*n95)*n1*n10*n81/n90 + n80) + n156*n44*(pow(alpha, NP0*n0 - n6*n95)*n1*n6*n81/n90 + n1*n71) + n221 + n44*n58*xF[6]*(pow(alpha, NP0*n0 - n9*n95)*n1*n81*n9/n90 + n1*n70)/n128 + n89*(pow(alpha, NP0*n0 - n8*n95)*n1*n8*n81/n90 + n1*n68)/n127 + n44*n60*xF[4]*(pow(alpha, NP0*n0 - n7*n95)*n1*n7*n81/n90 + n1*n73)/n126 + n44*n59*xF[2]*(pow(alpha, NP0*n0 - n5*n95)*n1*n5*n81/n90 + n1*n67)/n124 + n44*n78*(pow(alpha, NP0*n0 - n4*n95)*n1*n4*n81/n90 + n1*n72)/n123) + n221) + n152*n44*xF[0] + xTj*(n141*n44*n58 - n142*n44*n56 + n144*n44*n59 + n145*n44*n60 + n146*n44*n61 + n152*n18*n44 - n44*n69/n121 + n89/n118 + n44*n78/n114) + pow(NP0, -n13)*(-1.0*n153*n172*n44/n64 - 0.5*n160 + 0.5*n194*n201*n44*xF[0] + 0.5*n207*n44*xF[0] + 0.5*n239*xTj))*(-n13*n19*(n147*n44*n58*(pow(alpha, NP0*n0 - n9*n95)*n1*n81*n9/n90 + n1*n70)*(pow(alpha, NP0*n0 - n9*n95)*n31*n81*n9/n90 + n31*n70) + n149*n44*n69*(pow(alpha, NP0*n0 - n11*n95)*n11*n65*n81/n90 + pow(alpha, n0*n17 - n11*n95)*n11*n50*n65/(n49*n91) - pow(alpha, n0*n17 - n11*n95)*n21*n29*n50/(n49*n91) + n84) - n154*n44*(pow(alpha, NP0*n0 - n10*n95)*n1*n10*n81/n90 + n80)*(pow(alpha, NP0*n0 - n10*n95)*n10*n31*n81/n90 + n31*n75) - n155*n44*(pow(alpha, NP0*n0 - n10*n95)*n10*n65*n81/n90 + pow(alpha, n0*n17 - n10*n95)*n10*n50*n65/(n49*n91) - pow(alpha, n0*n17 - n10*n95)*n21*n28*n50/(n49*n91) + n85) + n156*n44*(pow(alpha, NP0*n0 - n6*n95)*n6*n65*n81/n90 - pow(alpha, n0*n17 - n6*n95)*n21*n24*n50/(n49*n91) + pow(alpha, n0*n17 - n6*n95)*n50*n6*n65/(n49*n91) + n86) + n160 + n161 + n162 + n163 + n164 + n165 + n166 + n167 + n168 + n209 + n210 + n211 + n212 + n213 + n214 + n215 + n216 + n217 + n219 - n44*n69*(pow(alpha, NP0*n0 - n11*n95)*n1*n11*n81/n90 + n79)*(pow(alpha, NP0*n0 - n11*n95)*n11*n31*n81/n90 + n31*n74)/n139 + n89*(pow(alpha, NP0*n0 - n8*n95)*n1*n8*n81/n90 + n1*n68)*(pow(alpha, NP0*n0 - n8*n95)*n31*n8*n81/n90 + n31*n68)/n136 + n44*n60*xF[4]*(pow(alpha, NP0*n0 - n7*n95)*n1*n7*n81/n90 + n1*n73)*(pow(alpha, NP0*n0 - n7*n95)*n31*n7*n81/n90 + n31*n73)/n135 + n44*n61*xF[3]*(pow(alpha, NP0*n0 - n6*n95)*n1*n6*n81/n90 + n1*n71)*(pow(alpha, NP0*n0 - n6*n95)*n31*n6*n81/n90 + n31*n71)/n134 + n44*n59*xF[2]*(pow(alpha, NP0*n0 - n5*n95)*n1*n5*n81/n90 + n1*n67)*(pow(alpha, NP0*n0 - n5*n95)*n31*n5*n81/n90 + n31*n67)/n133 + n44*n78*(pow(alpha, NP0*n0 - n4*n95)*n1*n4*n81/n90 + n1*n72)*(pow(alpha, NP0*n0 - n4*n95)*n31*n4*n81/n90 + n31*n72)/n132 + n18*n44*n46*(pow(alpha, NP0*n0 - n0*n95)*n81/(n64*n90) + n32/n64)*(pow(alpha, NP0*n0 - n0*n95)*n0*n31*n81/n90 + n0*n31*n32)/n131 + n44*n58*xF[6]*(pow(alpha, NP0*n0 - n9*n95)*n65*n81*n9/n90 - pow(alpha, n0*n17 - n9*n95)*n21*n27*n50/(n49*n91) + pow(alpha, n0*n17 - n9*n95)*n50*n65*n9/(n49*n91) + n87)/n128 + n89*(pow(alpha, NP0*n0 - n8*n95)*n65*n8*n81/n90 - pow(alpha, n0*n17 - n8*n95)*n21*n26*n50/(n49*n91) + pow(alpha, n0*n17 - n8*n95)*n50*n65*n8/(n49*n91) + n21*n26*n39)/n127 + n44*n60*xF[4]*(pow(alpha, NP0*n0 - n7*n95)*n65*n7*n81/n90 - pow(alpha, n0*n17 - n7*n95)*n21*n25*n50/(n49*n91) + pow(alpha, n0*n17 - n7*n95)*n50*n65*n7/(n49*n91) + n83)/n126 + n44*n59*xF[2]*(pow(alpha, NP0*n0 - n5*n95)*n5*n65*n81/n90 - pow(alpha, n0*n17 - n5*n95)*n21*n23*n50/(n49*n91) + pow(alpha, n0*n17 - n5*n95)*n5*n50*n65/(n49*n91) + n82)/n124 + n44*n78*(pow(alpha, NP0*n0 - n4*n95)*n4*n65*n81/n90 - pow(alpha, n0*n17 - n4*n95)*n21*n22*n50/(n49*n91) + pow(alpha, n0*n17 - n4*n95)*n4*n50*n65/(n49*n91) + n88)/n123) - n13*n219 + 4.0*n153*n172*n44/n64 + 2.0*n160 - 4.0*n202*n44) + pow(-n159 - n17*(1.0*n153*n44*(pow(alpha, NP0*n0 - n0*n95)*n81/(n64*n90) + n32/n64)/n64 + n169 - 0.5*xTj*(n147*n44*n58*(pow(alpha, NP0*n0 - n9*n95)*n1*n81*n9/n90 + n1*n70)*(pow(alpha, NP0*n0 - n9*n95)*n31*n81*n9/n90 + n31*n70) + n149*n44*n69*(pow(alpha, NP0*n0 - n11*n95)*n11*n65*n81/n90 + pow(alpha, n0*n17 - n11*n95)*n11*n50*n65/(n49*n91) - pow(alpha, n0*n17 - n11*n95)*n21*n29*n50/(n49*n91) + n84) - n154*n44*(pow(alpha, NP0*n0 - n10*n95)*n1*n10*n81/n90 + n80)*(pow(alpha, NP0*n0 - n10*n95)*n10*n31*n81/n90 + n31*n75) - n155*n44*(pow(alpha, NP0*n0 - n10*n95)*n10*n65*n81/n90 + pow(alpha, n0*n17 - n10*n95)*n10*n50*n65/(n49*n91) - pow(alpha, n0*n17 - n10*n95)*n21*n28*n50/(n49*n91) + n85) + n156*n44*(pow(alpha, NP0*n0 - n6*n95)*n6*n65*n81/n90 - pow(alpha, n0*n17 - n6*n95)*n21*n24*n50/(n49*n91) + pow(alpha, n0*n17 - n6*n95)*n50*n6*n65/(n49*n91) + n86) + n160 + n161 + n162 + n163 + n164 + n165 + n166 + n167 + n168 + n209 + n210 + n211 + n212 + n213 + n214 + n215 + n216 + n217 + n219 - n44*n69*(pow(alpha, NP0*n0 - n11*n95)*n1*n11*n81/n90 + n79)*(pow(alpha, NP0*n0 - n11*n95)*n11*n31*n81/n90 + n31*n74)/n139 + n89*(pow(alpha, NP0*n0 - n8*n95)*n1*n8*n81/n90 + n1*n68)*(pow(alpha, NP0*n0 - n8*n95)*n31*n8*n81/n90 + n31*n68)/n136 + n44*n60*xF[4]*(pow(alpha, NP0*n0 - n7*n95)*n1*n7*n81/n90 + n1*n73)*(pow(alpha, NP0*n0 - n7*n95)*n31*n7*n81/n90 + n31*n73)/n135 + n44*n61*xF[3]*(pow(alpha, NP0*n0 - n6*n95)*n1*n6*n81/n90 + n1*n71)*(pow(alpha, NP0*n0 - n6*n95)*n31*n6*n81/n90 + n31*n71)/n134 + n44*n59*xF[2]*(pow(alpha, NP0*n0 - n5*n95)*n1*n5*n81/n90 + n1*n67)*(pow(alpha, NP0*n0 - n5*n95)*n31*n5*n81/n90 + n31*n67)/n133 + n44*n78*(pow(alpha, NP0*n0 - n4*n95)*n1*n4*n81/n90 + n1*n72)*(pow(alpha, NP0*n0 - n4*n95)*n31*n4*n81/n90 + n31*n72)/n132 + n18*n44*n46*(pow(alpha, NP0*n0 - n0*n95)*n81/(n64*n90) + n32/n64)*(pow(alpha, NP0*n0 - n0*n95)*n0*n31*n81/n90 + n0*n31*n32)/n131 + n44*n58*xF[6]*(pow(alpha, NP0*n0 - n9*n95)*n65*n81*n9/n90 - pow(alpha, n0*n17 - n9*n95)*n21*n27*n50/(n49*n91) + pow(alpha, n0*n17 - n9*n95)*n50*n65*n9/(n49*n91) + n87)/n128 + n89*(pow(alpha, NP0*n0 - n8*n95)*n65*n8*n81/n90 - pow(alpha, n0*n17 - n8*n95)*n21*n26*n50/(n49*n91) + pow(alpha, n0*n17 - n8*n95)*n50*n65*n8/(n49*n91) + n21*n26*n39)/n127 + n44*n60*xF[4]*(pow(alpha, NP0*n0 - n7*n95)*n65*n7*n81/n90 - pow(alpha, n0*n17 - n7*n95)*n21*n25*n50/(n49*n91) + pow(alpha, n0*n17 - n7*n95)*n50*n65*n7/(n49*n91) + n83)/n126 + n44*n59*xF[2]*(pow(alpha, NP0*n0 - n5*n95)*n5*n65*n81/n90 - pow(alpha, n0*n17 - n5*n95)*n21*n23*n50/(n49*n91) + pow(alpha, n0*n17 - n5*n95)*n5*n50*n65/(n49*n91) + n82)/n124 + n44*n78*(pow(alpha, NP0*n0 - n4*n95)*n4*n65*n81/n90 - pow(alpha, n0*n17 - n4*n95)*n21*n22*n50/(n49*n91) + pow(alpha, n0*n17 - n4*n95)*n4*n50*n65/(n49*n91) + n88)/n123) - 0.5*n44*n46*xF[0]*(pow(alpha, NP0*n0 - n0*n95)*n81/(n64*n90) + n32/n64)*(pow(alpha, NP0*n0 - n0*n95)*n0*n31*n81/n90 + n0*n31*n32)/n131 - 0.5*n44*n46*xF[0]*(pow(alpha, NP0*n0 - n0*n95)*n66*n81/n90 + n32*n66)/n122) - n237 - n194*n44*xF[0]/n122, -n13);
      NP_sqrt_base = fabs(NP_sqrt_base);
      NP1 = (-NP_b - sqrt(NP_sqrt_base))/NP_2a;
      NT1 = n64*(n92 - log(-pow(alpha, NP1*n0)*n81 + 1));
      g0 = MW[1] - Mstar;
      g1 = MW[0] - Mstar;
      g2 = NT1 + 1;
      g3 = xPj - xTj;
      g4 = MW[2] - Mstar;
      g5 = MW[3] - Mstar;
      g6 = MW[4] - Mstar;
      g7 = MW[5] - Mstar;
      g8 = MW[6] - Mstar;
      g9 = MW[7] - Mstar;
      g10 = MW[8] - Mstar;
      g11 = xF[0] - xTj;
      g12 = xF[0] - xPj;
      g13 = -xTj;
      g14 = xPj/xF[1];
      g15 = pow(alpha, -g1);
      g16 = pow(alpha, -g0);
      g17 = pow(alpha, -g4);
      g18 = pow(alpha, -g5);
      g19 = pow(alpha, -g6);
      g20 = pow(alpha, -g7);
      g21 = pow(alpha, -g8);
      g22 = pow(alpha, -g9);
      g23 = pow(alpha, -g10);
      g24 = log(xF[0]/xF[1]);
      g25 = -g2;
      g26 = pow(alpha, NP1*g0);
      g27 = pow(alpha, NP1*g1);
      g28 = log(g15);
      g29 = pow(alpha, NP1*g4);
      g30 = pow(alpha, NP1*g5);
      g31 = pow(alpha, NP1*g6);
      g32 = pow(alpha, NP1*g7);
      g33 = pow(alpha, NP1*g8);
      g34 = pow(alpha, NP1*g9);
      g35 = pow(alpha, NP1*g10);
      g36 = -g24;
      g37 = g11/g3;
      g38 = g3/g11;
      g39 = -g26 + 1;
      g40 = -g26 + 1;
      g41 = -g27 + 1;
      g42 = -g29 + 1;
      g43 = -g30 + 1;
      g44 = -g31 + 1;
      g45 = -g32 + 1;
      g46 = -g33 + 1;
      g47 = -g34 + 1;
      g48 = -g35 + 1;
      g49 = -g27;
      g50 = -g29;
      g51 = -g30;
      g52 = -g31;
      g53 = -g32;
      g54 = -g33;
      g55 = -g34;
      g56 = -g35;
      g57 = -1.0*g24;
      g58 = -g3/g12;
      g59 = g12/(g3*xF[1]);
      g60 = pow(alpha, g0*g25) - 1;
      g61 = pow(alpha, g0*g25) - 1;
      g62 = pow(alpha, g1*g25) - 1;
      g63 = pow(alpha, g25*g4) - 1;
      g64 = pow(alpha, g25*g5) - 1;
      g65 = pow(alpha, g25*g6) - 1;
      g66 = pow(alpha, g25*g7) - 1;
      g67 = pow(alpha, g25*g8) - 1;
      g68 = pow(alpha, g25*g9) - 1;
      g69 = pow(alpha, g10*g25) - 1;
      g70 = -pow(alpha, g1*g25);
      g71 = -pow(alpha, g25*g4);
      g72 = -pow(alpha, g25*g5);
      g73 = -pow(alpha, g25*g6);
      g74 = -pow(alpha, g25*g7);
      g75 = -pow(alpha, g25*g8);
      g76 = -pow(alpha, g25*g9);
      g77 = -pow(alpha, g10*g25);
      g78 = g40 + g61;
      g79 = -g27 - g70;
      g80 = -g29 - g71;
      g81 = -g30 - g72;
      g82 = -g31 - g73;
      g83 = -g32 - g74;
      g84 = -g33 - g75;
      g85 = -g34 - g76;
      g86 = -g35 - g77;
      g87 = pow(alpha, g1*g25) + g49;
      g88 = g40 + g61;
      g89 = pow(alpha, g25*g4) + g50;
      g90 = pow(alpha, g25*g5) + g51;
      g91 = pow(alpha, g25*g6) + g52;
      g92 = pow(alpha, g25*g7) + g53;
      g93 = pow(alpha, g25*g8) + g54;
      g94 = pow(alpha, g25*g9) + g55;
      g95 = pow(alpha, g10*g25) + g56;
      g96 = xF[8]/g95;
      g97 = xF[0]/g87;
      g98 = xF[1]/g88;
      g99 = xF[2]/g89;
      g100 = xF[3]/g90;
      g101 = xF[6]/g93;
      g102 = xF[7]/g94;
      g103 = xF[4]/g91;
      g104 = xF[5]/g92;
      g105 = xF[1]/g78;
      g106 = xF[0]/g79;
      g107 = xF[4]/g82;
      g108 = xF[5]/g83;
      g109 = xF[7]/g85;
      g110 = xF[2]/g80;
      g111 = xF[3]/g81;
      g112 = xF[6]/g84;
      g113 = xF[8]/g86;
      g114 = g46/g84;
      g115 = g44/g82;
      g116 = g47/g85;
      g117 = g41/g79;
      g118 = g45/g83;
      g119 = g43/g81;
      g120 = g39/g78;
      g121 = g42/g80;
      g122 = g48/g86;
      g123 = g60/g78;
      g124 = g62/g79;
      g125 = g66/g83;
      g126 = g63/g80;
      g127 = g64/g81;
      g128 = g65/g82;
      g129 = g69/g86;
      g130 = g67/g84;
      g131 = g68/g85;
      g132 = log(g13*g59*g88/g40);
      g133 = log(g13*g59*g78/g39);
      g134 = log(g14*g37*g88/g61);
      g135 = 1.0*g132;
      g136 = log(g14*g37*g78/g60);
      g137 = 1.0*g134;
      g138 = -g100*g135*(g51 + 1) - g100*g137*(pow(alpha, g25*g5) - 1) - g101*g135*(g54 + 1) - g101*g137*(pow(alpha, g25*g8) - 1) - g102*g135*(g55 + 1) - g102*g137*(pow(alpha, g25*g9) - 1) - g103*g135*(g52 + 1) - g103*g137*(pow(alpha, g25*g6) - 1) - g104*g135*(g53 + 1) - g104*g137*(pow(alpha, g25*g7) - 1) - g135*g40*g98 - g135*g96*(g56 + 1) - g135*g97*(g49 + 1) - g135*g99*(g50 + 1) - g137*g61*g98 - g137*g96*(pow(alpha, g10*g25) - 1) - g137*g97*(pow(alpha, g1*g25) - 1) - g137*g99*(pow(alpha, g25*g4) - 1) - g57*xF[0] - g57*xF[1] - g57*xF[2] - g57*xF[3] - g57*xF[4] - g57*xF[5] - g57*xF[6] - g57*xF[7] - g57*xF[8];
      LpF = xF[0]*(g15 + 1.0)*(g117*g133 + g124*g136 + g36)/(g28*(g15 - 1.0)) + xF[1]*(g16 + 1.0)*(g120*g133 + g123*g136 + g36)/(g28*(g16 - 1.0)) + xF[2]*(g17 + 1.0)*(g121*g133 + g126*g136 + g36)/(g28*(g17 - 1.0)) + xF[3]*(g18 + 1.0)*(g119*g133 + g127*g136 + g36)/(g28*(g18 - 1.0)) + xF[4]*(g19 + 1.0)*(g115*g133 + g128*g136 + g36)/(g28*(g19 - 1.0)) + xF[5]*(g20 + 1.0)*(g118*g133 + g125*g136 + g36)/(g28*(g20 - 1.0)) + xF[6]*(g21 + 1.0)*(g114*g133 + g130*g136 + g36)/(g28*(g21 - 1.0)) + xF[7]*(g22 + 1.0)*(g116*g133 + g131*g136 + g36)/(g28*(g22 - 1.0)) + xF[8]*(g23 + 1.0)*(g122*g133 + g129*g136 + g36)/(g28*(g23 - 1.0));
      PpF = g37;
      TpF = -g12/g3;
      SWUpF = g138;
      SWUpP = g138*g38;
      xP[0] = g106*g38*g62;
      xP[1] = g105*g38*g60;
      xP[2] = g110*g38*g63;
      xP[3] = g111*g38*g64;
      xP[4] = g107*g38*g65;
      xP[5] = g108*g38*g66;
      xP[6] = g112*g38*g67;
      xP[7] = g109*g38*g68;
      xP[8] = g113*g38*g69;
      xT[0] = g106*g41*g58;
      xT[1] = g105*g39*g58;
      xT[2] = g110*g42*g58;
      xT[3] = g111*g43*g58;
      xT[4] = g107*g44*g58;
      xT[5] = g108*g45*g58;
      xT[6] = g112*g46*g58;
      xT[7] = g109*g47*g58;
      xT[8] = g113*g48*g58;
      break;
    case 10:
      n0 = MW[0] - Mstar;
      n1 = log(alpha);
      n2 = xPj - xTj;
      n3 = xF[0] - xPj;
      n4 = MW[1] - Mstar;
      n5 = MW[2] - Mstar;
      n6 = MW[3] - Mstar;
      n7 = MW[4] - Mstar;
      n8 = MW[5] - Mstar;
      n9 = MW[6] - Mstar;
      n10 = MW[7] - Mstar;
      n11 = MW[8] - Mstar;
      n12 = MW[9] - Mstar;
      n13 = log(xTj);
      n14 = -2;
      n15 = xF[0]*xPj;
      n16 = -Mstar;
      n17 = -xPj;
      n18 = -NP0*n14;
      n19 = -xTj;
      n20 = -n14*xF[9];
      n21 = pow(n0, -n14);
      n22 = pow(n1, -n14);
      n23 = pow(n4, -n14);
      n24 = pow(n5, -n14);
      n25 = pow(n6, -n14);
      n26 = pow(n7, -n14);
      n27 = pow(n8, -n14);
      n28 = pow(n9, -n14);
      n29 = pow(n10, -n14);
      n30 = pow(n11, -n14);
      n31 = pow(n12, -n14);
      n32 = Mstar*n1;
      n33 = -n1*n14;
      n34 = pow(alpha, NP0*n0);
      n35 = n15 + n19*xF[0];
      n36 = n15 + n17*xTj;
      n37 = pow(alpha, NP0*n4);
      n38 = pow(alpha, NP0*n5);
      n39 = pow(alpha, NP0*n6);
      n40 = pow(alpha, NP0*n7);
      n41 = pow(alpha, NP0*n8);
      n42 = pow(alpha, NP0*n9);
      n43 = pow(alpha, NP0*n10);
      n44 = pow(alpha, NP0*n11);
      n45 = pow(alpha, NP0*n12);
      n46 = -MW[0]*n1;
      n47 = n2/n3;
      n48 = -n22;
      n49 = -n34 + 1;
      n50 = -n37 + 1;
      n51 = pow(alpha, n0*n18);
      n52 = pow(n35, -n14);
      n53 = pow(n36, -n14);
      n54 = -n38 + 1;
      n55 = -n39 + 1;
      n56 = -n40 + 1;
      n57 = -n41 + 1;
      n58 = -n42 + 1;
      n59 = -n43 + 1;
      n60 = -n44 + 1;
      n61 = -n45 + 1;
      n62 = -n34;
      n63 = -n47;
      n64 = 1/(n0*n1);
      n65 = n0*n22;
      n66 = n57*xF[5];
      n67 = n61*xF[9];
      n68 = n55*xF[3];
      n69 = n38*n5;
      n70 = n41*n8;
      n71 = n59*xF[7];
      n72 = n50*xF[1];
      n73 = n60*xF[8];
      n74 = n42*n9;
      n75 = n39*n6;
      n76 = n37*n4;
      n77 = n40*n7;
      n78 = n58*xF[6];
      n79 = n10*n43;
      n80 = n11*n44;
      n81 = log((-1.0 + xPj/xF[0])/n2);
      n82 = n1*n12*n45;
      n83 = n1*n80;
      n84 = n0*n1*n34;
      n85 = n1*n79;
      n86 = n36/n35;
      n87 = n21*n51;
      n88 = n22*n24*n38;
      n89 = n22*n26*n40;
      n90 = n21*n22*n34;
      n91 = n22*n30*n44;
      n92 = n22*n31*n45;
      n93 = n22*n29*n43;
      n94 = n22*n25*n39;
      n95 = n22*n28*n42;
      n96 = n22*n23*n37;
      n97 = n62*n86 + 1;
      n98 = pow(n97, -n14);
      n99 = n13 + n32 + n46 + n81;
      n100 = n34*n86/n97;
      n101 = n64*(n99 - log(n97)) + 1;
      n102 = pow(alpha, n0*n101);
      n103 = pow(alpha, n101*n4);
      n104 = pow(alpha, n101*n5);
      n105 = pow(alpha, n101*n6);
      n106 = pow(alpha, n101*n7);
      n107 = pow(alpha, n101*n8);
      n108 = pow(alpha, n101*n9);
      n109 = pow(alpha, n10*n101);
      n110 = pow(alpha, n101*n11);
      n111 = pow(alpha, n101*n12);
      n112 = n4/n103;
      n113 = n12/n111;
      n114 = n11/n110;
      n115 = n7/n106;
      n116 = n6/n105;
      n117 = n10/n109;
      n118 = n9/n108;
      n119 = n8/n107;
      n120 = n0/n102;
      n121 = n5/n104;
      n122 = n28/n108;
      n123 = n21/n102;
      n124 = n24/n104;
      n125 = n0*n121;
      n126 = n49 - 1 + 1.0/n102;
      n127 = n50 - 1 + 1.0/n103;
      n128 = n54 - 1 + 1.0/n104;
      n129 = n55 - 1 + 1.0/n105;
      n130 = n56 - 1 + 1.0/n106;
      n131 = n57 - 1 + 1.0/n107;
      n132 = n58 - 1 + 1.0/n108;
      n133 = n59 - 1 + 1.0/n109;
      n134 = n60 - 1 + 1.0/n110;
      n135 = n61 - 1 + 1.0/n111;
      n136 = pow(n126, -n14);
      n137 = pow(n127, -n14);
      n138 = pow(n128, -n14);
      n139 = pow(n129, -n14);
      n140 = pow(n130, -n14);
      n141 = pow(n131, -n14);
      n142 = pow(n132, -n14);
      n143 = pow(n133, -n14);
      n144 = pow(n134, -n14);
      n145 = pow(n135, -n14);
      n146 = pow(n126, 3);
      n147 = pow(n127, 3);
      n148 = pow(n128, 3);
      n149 = pow(n129, 3);
      n150 = pow(n130, 3);
      n151 = pow(n131, 3);
      n152 = pow(n132, 3);
      n153 = pow(n133, 3);
      n154 = pow(n134, 3);
      n155 = pow(n135, 3);
      n156 = xF[2]/n128;
      n157 = xF[9]/n135;
      n158 = xF[0]/n126;
      n159 = xF[8]/n134;
      n160 = xF[6]/n132;
      n161 = xF[7]/n133;
      n162 = xF[1]/n127;
      n163 = xF[4]/n130;
      n164 = xF[3]/n129;
      n165 = xF[0]/n136;
      n166 = -1/n140;
      n167 = n1*xF[5]/n131;
      n168 = n1*n164;
      n169 = n54/n148;
      n170 = n54/n138;
      n171 = n49*xF[0]/n146;
      n172 = n22*n27*n41*xF[5]/n131;
      n173 = n0*n1*n158*n47*n62;
      n174 = n158*n47*n90;
      n175 = n162*n47*n96;
      n176 = n156*n47*n88;
      n177 = n164*n47*n94;
      n178 = n163*n47*n89;
      n179 = n172*n47;
      n180 = n160*n47*n95;
      n181 = n161*n47*n93;
      n182 = n159*n47*n91;
      n183 = n157*n47*n92;
      n184 = 0.5*n174;
      n185 = 1 + n86/(n102*n97);
      n186 = n185*n49;
      n187 = n84 + n84*n86/(n102*n97);
      n188 = n1*n100*n112 + n1*n76;
      n189 = n1*n100*n121 + n1*n69;
      n190 = n1*n100*n116 + n1*n75;
      n191 = n1*n100*n115 + n1*n77;
      n192 = n1*n100*n119 + n1*n70;
      n193 = n1*n100*n118 + n1*n74;
      n194 = n1*n100*n117 + n85;
      n195 = n1*n100*n114 + n83;
      n196 = n1*n100*n113 + n82;
      n197 = pow(n187, -n14);
      n198 = pow(n188, -n14);
      n199 = pow(n189, -n14);
      n200 = pow(n190, -n14);
      n201 = pow(n191, -n14);
      n202 = pow(n192, -n14);
      n203 = pow(n193, -n14);
      n204 = pow(n194, -n14);
      n205 = pow(n195, -n14);
      n206 = pow(n196, -n14);
      n207 = n189*xF[2];
      n208 = n0*n33*n34 + n100*n120*n33;
      n209 = n199*xF[2];
      n210 = n90 + n86*n90/(n102*n97);
      n211 = n100*n123*n48 + n21*n34*n48;
      n212 = n187*n49;
      n213 = n191*n56*xF[4];
      n214 = n210*n49;
      n215 = n211*n49;
      n216 = n192/n141;
      n217 = n188/n137;
      n218 = n190/n139;
      n219 = n194/n143;
      n220 = n195/n144;
      n221 = n196/n145;
      n222 = n204/n153;
      n223 = n200/n149;
      n224 = n205/n154;
      n225 = n193*xF[6]/n142;
      n226 = n206/n155;
      n227 = n191*xF[4]/n140;
      n228 = n198/n147;
      n229 = n203/n152;
      n230 = n201*n56*xF[4]/n150;
      n231 = n165*n212*n47;
      n232 = n0*n165*n33*n34*n47*(pow(alpha, NP0*n0 - n0*n101)*n0*n1*n86/n97 + n84);
      n233 = n33*n47*n76*xF[1]*(pow(alpha, NP0*n0 - n101*n4)*n1*n4*n86/n97 + n1*n76)/n137;
      n234 = n33*n47*n69*xF[2]*(pow(alpha, NP0*n0 - n101*n5)*n1*n5*n86/n97 + n1*n69)/n138;
      n235 = n33*n47*n75*xF[3]*(pow(alpha, NP0*n0 - n101*n6)*n1*n6*n86/n97 + n1*n75)/n139;
      n236 = n33*n47*n77*xF[4]*(pow(alpha, NP0*n0 - n101*n7)*n1*n7*n86/n97 + n1*n77)/n140;
      n237 = n33*n47*n70*xF[5]*(pow(alpha, NP0*n0 - n101*n8)*n1*n8*n86/n97 + n1*n70)/n141;
      n238 = n33*n47*n74*xF[6]*(pow(alpha, NP0*n0 - n101*n9)*n1*n86*n9/n97 + n1*n74)/n142;
      n239 = n33*n47*n79*xF[7]*(pow(alpha, NP0*n0 - n10*n101)*n1*n10*n86/n97 + n85)/n143;
      n240 = n33*n47*n80*xF[8]*(pow(alpha, NP0*n0 - n101*n11)*n1*n11*n86/n97 + n83)/n144;
      n241 = n20*n47*n82*(pow(alpha, NP0*n0 - n101*n12)*n1*n12*n86/n97 + n82)/n145;
      n242 = 1.0*n165*n187*n47*n84;
      n243 = 0.5*n187*n208;
      n244 = n184 + n242;
      n245 = n100*n112*n65 + n112*n51*n53*n65/(n52*n98) + n96 + n23*n48*n51*n53/(n103*n52*n98);
      n246 = n100*n121*n65 + n121*n51*n53*n65/(n52*n98) + n124*n48*n51*n53/(n52*n98) + n88;
      n247 = n100*n116*n65 + n116*n51*n53*n65/(n52*n98) + n94 + n25*n48*n51*n53/(n105*n52*n98);
      n248 = n100*n115*n65 + n115*n51*n53*n65/(n52*n98) + n89 + n26*n48*n51*n53/(n106*n52*n98);
      n249 = n100*n119*n65 + n119*n51*n53*n65/(n52*n98) + n22*n27*n41 + n27*n48*n51*n53/(n107*n52*n98);
      n250 = n100*n118*n65 + n118*n51*n53*n65/(n52*n98) + n122*n48*n51*n53/(n52*n98) + n95;
      n251 = n100*n117*n65 + n117*n51*n53*n65/(n52*n98) + n93 + n29*n48*n51*n53/(n109*n52*n98);
      n252 = n100*n114*n65 + n114*n51*n53*n65/(n52*n98) + n91 + n30*n48*n51*n53/(n110*n52*n98);
      n253 = n100*n113*n65 + n113*n51*n53*n65/(n52*n98) + n92 + n31*n48*n51*n53/(n111*n52*n98);
      n254 = n63*n72*(pow(alpha, n0*n18 - n101*n4)*n23*n48*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n4)*n4*n53*n65/(n52*n98) + n100*n112*n65 + n96)/n137;
      n255 = n63*n68*(pow(alpha, n0*n18 - n101*n6)*n25*n48*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n6)*n53*n6*n65/(n52*n98) + n100*n116*n65 + n94)/n139;
      n256 = n56*n63*xF[4]*(pow(alpha, n0*n18 - n101*n7)*n26*n48*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n7)*n53*n65*n7/(n52*n98) + n100*n115*n65 + n89)/n140;
      n257 = n63*n66*(pow(alpha, n0*n18 - n101*n8)*n27*n48*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n8)*n53*n65*n8/(n52*n98) + n100*n119*n65 + n22*n27*n41)/n141;
      n258 = n63*n71*(pow(alpha, n0*n18 - n10*n101)*n10*n53*n65/(n52*n98) + pow(alpha, n0*n18 - n10*n101)*n29*n48*n53/(n52*n98) + n100*n117*n65 + n93)/n143;
      n259 = n63*n73*(pow(alpha, n0*n18 - n101*n11)*n11*n53*n65/(n52*n98) + pow(alpha, n0*n18 - n101*n11)*n30*n48*n53/(n52*n98) + n100*n114*n65 + n91)/n144;
      n260 = n63*n67*(pow(alpha, n0*n18 - n101*n12)*n12*n53*n65/(n52*n98) + pow(alpha, n0*n18 - n101*n12)*n31*n48*n53/(n52*n98) + n100*n113*n65 + n92)/n145;
      n261 = xTj*(n1*n156*n47*n69 + n1*n160*n47*n74 + n1*n162*n47*n76 + n1*n163*n47*n77 + n157*n47*n82 + n158*n47*n84 + n159*n47*n83 + n161*n47*n85 + n165*n212*n63 + n167*n47*n70 + n168*n47*n75 + n170*n207*n63 + n216*n63*n66 + n217*n63*n72 + n218*n63*n68 + n219*n63*n71 + n220*n63*n73 + n221*n63*n67 + n193*n63*n78/n142 + n213*n63/n140);
      n262 = n173 + n231 + n261;
      n263 = n174 + n175 + n176 + n177 + n178 + n179 + n180 + n181 + n182 + n183 + n232 + n233 + n234 + n235 + n236 + n237 + n238 + n239 + n240 + n241 + n254 + n255 + n256 + n257 + n258 + n259 + n260;
      n264 = n165*n215*n47 + n169*n207*n63*(n100*n121*n33 + n33*n69) + n170*n47*xF[2]*(pow(alpha, n0*n18 - n101*n5)*n0*n48*n5*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n5)*n22*n24*n53/(n52*n98) + n100*n125*n48 + n24*n38*n48) + n171*n187*n208*n63 + n263 + n196*n63*n67*(n100*n113*n33 + n12*n33*n45)/n155 + n195*n63*n73*(n100*n114*n33 + n33*n80)/n154 + n194*n63*n71*(n100*n117*n33 + n33*n79)/n153 + n193*n63*n78*(n100*n118*n33 + n33*n74)/n152 + n192*n63*n66*(n100*n119*n33 + n33*n70)/n151 + n213*n63*(n100*n115*n33 + n33*n77)/n150 + n190*n63*n68*(n100*n116*n33 + n33*n75)/n149 + n188*n63*n72*(n100*n112*n33 + n33*n76)/n147 + n47*n78*(pow(alpha, n0*n18 - n101*n9)*n0*n48*n53*n9/(n52*n98) + pow(alpha, n0*n18 - n101*n9)*n22*n28*n53/(n52*n98) + n0*n100*n118*n48 + n28*n42*n48)/n142;
      NP_b = -n165*n186*n47*n84 - n173 - n18*(-0.5*n165*n47*n49*(pow(alpha, NP0*n0 - n0*n101)*n21*n22*n86/n97 + n90) + 1.0*n165*n47*n84*(pow(alpha, NP0*n0 - n0*n101)*n0*n1*n86/n97 + n84) - 1.0*n171*n197*n47 + n184 - 0.5*xTj*(n14*n169*n209*n47 + n14*n171*n197*n47 + n14*n222*n47*n71 + n14*n223*n47*n68 + n14*n224*n47*n73 + n14*n226*n47*n67 + n14*n228*n47*n72 + n14*n229*n47*n78 + n14*n230*n47 + n14*n202*n47*n66/n151 + n165*n49*n63*(pow(alpha, NP0*n0 - n0*n101)*n21*n22*n86/n97 + n90) + n170*n63*xF[2]*(pow(alpha, NP0*n0 - n101*n5)*n5*n65*n86/n97 + pow(alpha, n0*n18 - n101*n5)*n24*n48*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n5)*n5*n53*n65/(n52*n98) + n88) + n174 + n175 + n176 + n177 + n178 + n179 + n180 + n181 + n182 + n183 + n232 + n233 + n234 + n235 + n236 + n237 + n238 + n239 + n240 + n241 + n63*n67*(pow(alpha, NP0*n0 - n101*n12)*n12*n65*n86/n97 + pow(alpha, n0*n18 - n101*n12)*n12*n53*n65/(n52*n98) + pow(alpha, n0*n18 - n101*n12)*n31*n48*n53/(n52*n98) + n92)/n145 + n63*n73*(pow(alpha, NP0*n0 - n101*n11)*n11*n65*n86/n97 + pow(alpha, n0*n18 - n101*n11)*n11*n53*n65/(n52*n98) + pow(alpha, n0*n18 - n101*n11)*n30*n48*n53/(n52*n98) + n91)/n144 + n63*n71*(pow(alpha, NP0*n0 - n10*n101)*n10*n65*n86/n97 + pow(alpha, n0*n18 - n10*n101)*n10*n53*n65/(n52*n98) + pow(alpha, n0*n18 - n10*n101)*n29*n48*n53/(n52*n98) + n93)/n143 + n63*n78*(pow(alpha, NP0*n0 - n101*n9)*n65*n86*n9/n97 + pow(alpha, n0*n18 - n101*n9)*n28*n48*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n9)*n53*n65*n9/(n52*n98) + n95)/n142 + n63*n66*(pow(alpha, NP0*n0 - n101*n8)*n65*n8*n86/n97 + pow(alpha, n0*n18 - n101*n8)*n27*n48*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n8)*n53*n65*n8/(n52*n98) + n22*n27*n41)/n141 + n56*n63*xF[4]*(pow(alpha, NP0*n0 - n101*n7)*n65*n7*n86/n97 + pow(alpha, n0*n18 - n101*n7)*n26*n48*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n7)*n53*n65*n7/(n52*n98) + n89)/n140 + n63*n68*(pow(alpha, NP0*n0 - n101*n6)*n6*n65*n86/n97 + pow(alpha, n0*n18 - n101*n6)*n25*n48*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n6)*n53*n6*n65/(n52*n98) + n94)/n139 + n63*n72*(pow(alpha, NP0*n0 - n101*n4)*n4*n65*n86/n97 + pow(alpha, n0*n18 - n101*n4)*n23*n48*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n4)*n4*n53*n65/(n52*n98) + n96)/n137)) - n47*xTj*(n1*n156*n69 + n1*n160*n74 + n1*n162*n76 + n1*n163*n77 + n157*n82 + n158*n84 + n159*n83 + n161*n85 - n165*n212 + n166*n213 + n167*n70 + n168*n75 - n170*n207 - n216*n66 - n217*n72 - n218*n68 - n219*n71 - n220*n73 - n221*n67 - n193*n78/n142);
      NP_2a = -n47*(n14*n171*pow(n185, -n14)*n48*n87 - 1.0*n158*n90 - 2.0*n165*n185*n22*n87 + n165*n186*n90 + 1.0*xTj*(n0*n165*n33*n34*(pow(alpha, NP0*n0 - n0*n101)*n0*n1*n86/n97 + n84) + n14*n169*n209 + n14*n171*n197 + n14*n222*n71 + n14*n223*n68 + n14*n224*n73 + n14*n226*n67 + n14*n228*n72 + n14*n229*n78 + n14*n230 + n14*n202*n66/n151 + n156*n88 + n157*n92 + n158*n90 + n159*n91 + n160*n95 + n161*n93 + n162*n96 + n163*n89 + n164*n94 - n165*n214 + n166*n56*xF[4]*(pow(alpha, n0*n18 - n101*n7)*n26*n48*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n7)*n53*n65*n7/(n52*n98) + n100*n115*n65 + n89) - n170*xF[2]*(pow(alpha, n0*n18 - n101*n5)*n24*n48*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n5)*n5*n53*n65/(n52*n98) + n100*n121*n65 + n88) + n172 + n20*n82*(pow(alpha, NP0*n0 - n101*n12)*n1*n12*n86/n97 + n82)/n145 - n67*(pow(alpha, n0*n18 - n101*n12)*n12*n53*n65/(n52*n98) + pow(alpha, n0*n18 - n101*n12)*n31*n48*n53/(n52*n98) + n100*n113*n65 + n92)/n145 + n33*n80*xF[8]*(pow(alpha, NP0*n0 - n101*n11)*n1*n11*n86/n97 + n83)/n144 - n73*(pow(alpha, n0*n18 - n101*n11)*n11*n53*n65/(n52*n98) + pow(alpha, n0*n18 - n101*n11)*n30*n48*n53/(n52*n98) + n100*n114*n65 + n91)/n144 + n33*n79*xF[7]*(pow(alpha, NP0*n0 - n10*n101)*n1*n10*n86/n97 + n85)/n143 - n71*(pow(alpha, n0*n18 - n10*n101)*n10*n53*n65/(n52*n98) + pow(alpha, n0*n18 - n10*n101)*n29*n48*n53/(n52*n98) + n100*n117*n65 + n93)/n143 + n33*n74*xF[6]*(pow(alpha, NP0*n0 - n101*n9)*n1*n86*n9/n97 + n1*n74)/n142 - n78*(pow(alpha, n0*n18 - n101*n9)*n28*n48*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n9)*n53*n65*n9/(n52*n98) + n100*n118*n65 + n95)/n142 + n33*n70*xF[5]*(pow(alpha, NP0*n0 - n101*n8)*n1*n8*n86/n97 + n1*n70)/n141 - n66*(pow(alpha, n0*n18 - n101*n8)*n27*n48*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n8)*n53*n65*n8/(n52*n98) + n100*n119*n65 + n22*n27*n41)/n141 + n33*n77*xF[4]*(pow(alpha, NP0*n0 - n101*n7)*n1*n7*n86/n97 + n1*n77)/n140 + n33*n75*xF[3]*(pow(alpha, NP0*n0 - n101*n6)*n1*n6*n86/n97 + n1*n75)/n139 - n68*(pow(alpha, n0*n18 - n101*n6)*n25*n48*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n6)*n53*n6*n65/(n52*n98) + n100*n116*n65 + n94)/n139 + n33*n69*xF[2]*(pow(alpha, NP0*n0 - n101*n5)*n1*n5*n86/n97 + n1*n69)/n138 + n33*n76*xF[1]*(pow(alpha, NP0*n0 - n101*n4)*n1*n4*n86/n97 + n1*n76)/n137 - n72*(pow(alpha, n0*n18 - n101*n4)*n23*n48*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n4)*n4*n53*n65/(n52*n98) + n100*n112*n65 + n96)/n137));
      NP_sqrt_base = (-NP0*n262 - n19*(-n47*n49*xF[0]/(n49 - 1 + pow(alpha, -n0*(n64*(n99 - log(n36*n62/(n15 - xF[0]*xTj) + 1)) + 1))) - n47*n54*xF[2]/(n54 - 1 + pow(alpha, -n5*(n64*(n99 - log(n36*n62/(n15 - xF[0]*xTj) + 1)) + 1))) - n47*n56*xF[4]/(n56 - 1 + pow(alpha, -n7*(n64*(n99 - log(n36*n62/(n15 - xF[0]*xTj) + 1)) + 1))) - n47*n66/(n57 - 1 + pow(alpha, -n8*(n64*(n99 - log(n36*n62/(n15 - xF[0]*xTj) + 1)) + 1))) - n47*n67/(n61 - 1 + pow(alpha, -n12*(n64*(n99 - log(n36*n62/(n15 - xF[0]*xTj) + 1)) + 1))) - n47*n68/(n55 - 1 + pow(alpha, -n6*(n64*(n99 - log(n36*n62/(n15 - xF[0]*xTj) + 1)) + 1))) - n47*n71/(n59 - 1 + pow(alpha, -n10*(n64*(n99 - log(n36*n62/(n15 - xF[0]*xTj) + 1)) + 1))) - n47*n72/(n50 - 1 + pow(alpha, -n4*(n64*(n99 - log(n36*n62/(n15 - xF[0]*xTj) + 1)) + 1))) - n47*n73/(n60 - 1 + pow(alpha, -n11*(n64*(n99 - log(n36*n62/(n15 - xF[0]*xTj) + 1)) + 1))) - n47*n78/(n58 - 1 + pow(alpha, -n9*(n64*(n99 - log(n36*n62/(n15 - xF[0]*xTj) + 1)) + 1)))) - n49*n63*xF[0]/n126 - pow(NP0, -n14)*(1.0*n165*n187*n47*n84 + 0.5*n165*n215*n47 - n171*n243*n47 + 0.5*n174 - 0.5*n264*xTj))*(-n14*n19*(n165*n47*n49*(pow(alpha, NP0*n0 - n0*n101)*n21*n22*(-n15 + n17*n19)/(n35*n97) + n21*n34*n48) + n169*n63*xF[2]*(pow(alpha, NP0*n0 - n101*n5)*n1*n5*n86/n97 + n1*n69)*(pow(alpha, NP0*n0 - n101*n5)*n33*n5*n86/n97 + n33*n69) + n170*n47*xF[2]*(pow(alpha, NP0*n0 - n101*n5)*n0*n48*n5*n86/n97 + pow(alpha, n0*n18 - n101*n5)*n0*n48*n5*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n5)*n22*n24*n53/(n52*n98) + n24*n38*n48) + n171*n63*(pow(alpha, NP0*n0 - n0*n101)*n0*n1*n86/n97 + n84)*(pow(alpha, NP0*n0 - n0*n101)*n0*n33*n86/n97 + n0*n33*n34) + n174 + n175 + n176 + n177 + n178 + n179 + n180 + n181 + n182 + n183 + n232 + n233 + n234 + n235 + n236 + n237 + n238 + n239 + n240 + n241 + n63*n67*(pow(alpha, NP0*n0 - n101*n12)*n1*n12*n86/n97 + n82)*(pow(alpha, NP0*n0 - n101*n12)*n12*n33*n86/n97 + n12*n33*n45)/n155 + n63*n73*(pow(alpha, NP0*n0 - n101*n11)*n1*n11*n86/n97 + n83)*(pow(alpha, NP0*n0 - n101*n11)*n11*n33*n86/n97 + n33*n80)/n154 + n63*n71*(pow(alpha, NP0*n0 - n10*n101)*n1*n10*n86/n97 + n85)*(pow(alpha, NP0*n0 - n10*n101)*n10*n33*n86/n97 + n33*n79)/n153 + n63*n78*(pow(alpha, NP0*n0 - n101*n9)*n1*n86*n9/n97 + n1*n74)*(pow(alpha, NP0*n0 - n101*n9)*n33*n86*n9/n97 + n33*n74)/n152 + n63*n66*(pow(alpha, NP0*n0 - n101*n8)*n1*n8*n86/n97 + n1*n70)*(pow(alpha, NP0*n0 - n101*n8)*n33*n8*n86/n97 + n33*n70)/n151 + n56*n63*xF[4]*(pow(alpha, NP0*n0 - n101*n7)*n1*n7*n86/n97 + n1*n77)*(pow(alpha, NP0*n0 - n101*n7)*n33*n7*n86/n97 + n33*n77)/n150 + n63*n68*(pow(alpha, NP0*n0 - n101*n6)*n1*n6*n86/n97 + n1*n75)*(pow(alpha, NP0*n0 - n101*n6)*n33*n6*n86/n97 + n33*n75)/n149 + n63*n72*(pow(alpha, NP0*n0 - n101*n4)*n1*n4*n86/n97 + n1*n76)*(pow(alpha, NP0*n0 - n101*n4)*n33*n4*n86/n97 + n33*n76)/n147 + n63*n67*(pow(alpha, NP0*n0 - n101*n12)*n12*n65*n86/n97 + pow(alpha, n0*n18 - n101*n12)*n12*n53*n65/(n52*n98) + pow(alpha, n0*n18 - n101*n12)*n31*n48*n53/(n52*n98) + n92)/n145 + n63*n73*(pow(alpha, NP0*n0 - n101*n11)*n11*n65*n86/n97 + pow(alpha, n0*n18 - n101*n11)*n11*n53*n65/(n52*n98) + pow(alpha, n0*n18 - n101*n11)*n30*n48*n53/(n52*n98) + n91)/n144 + n63*n71*(pow(alpha, NP0*n0 - n10*n101)*n10*n65*n86/n97 + pow(alpha, n0*n18 - n10*n101)*n10*n53*n65/(n52*n98) + pow(alpha, n0*n18 - n10*n101)*n29*n48*n53/(n52*n98) + n93)/n143 + n47*n78*(pow(alpha, NP0*n0 - n101*n9)*n0*n48*n86*n9/n97 + pow(alpha, n0*n18 - n101*n9)*n0*n48*n53*n9/(n52*n98) + pow(alpha, n0*n18 - n101*n9)*n22*n28*n53/(n52*n98) + n28*n42*n48)/n142 + n63*n66*(pow(alpha, NP0*n0 - n101*n8)*n65*n8*n86/n97 + pow(alpha, n0*n18 - n101*n8)*n27*n48*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n8)*n53*n65*n8/(n52*n98) + n22*n27*n41)/n141 + n56*n63*xF[4]*(pow(alpha, NP0*n0 - n101*n7)*n65*n7*n86/n97 + pow(alpha, n0*n18 - n101*n7)*n26*n48*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n7)*n53*n65*n7/(n52*n98) + n89)/n140 + n63*n68*(pow(alpha, NP0*n0 - n101*n6)*n6*n65*n86/n97 + pow(alpha, n0*n18 - n101*n6)*n25*n48*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n6)*n53*n6*n65/(n52*n98) + n94)/n139 + n63*n72*(pow(alpha, NP0*n0 - n101*n4)*n4*n65*n86/n97 + pow(alpha, n0*n18 - n101*n4)*n23*n48*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n4)*n4*n53*n65/(n52*n98) + n96)/n137) + 4.0*n165*n187*n47*n84 + 2.0*n165*n215*n47 - 4.0*n171*n197*n47 + 2.0*n174) + pow(-n18*(0.5*n165*n47*n49*(pow(alpha, NP0*n0 - n0*n101)*n21*n22*(-n15 + n17*n19)/(n35*n97) + n21*n34*n48) + 1.0*n165*n47*n84*(pow(alpha, NP0*n0 - n0*n101)*n0*n1*n86/n97 + n84) - 0.5*n171*n47*(pow(alpha, NP0*n0 - n0*n101)*n0*n1*n86/n97 + n84)*(pow(alpha, NP0*n0 - n0*n101)*n0*n33*n86/n97 + n0*n33*n34) + n184 - 0.5*xTj*(n165*n47*n49*(pow(alpha, NP0*n0 - n0*n101)*n21*n22*(-n15 + n17*n19)/(n35*n97) + n21*n34*n48) + n169*n63*xF[2]*(pow(alpha, NP0*n0 - n101*n5)*n1*n5*n86/n97 + n1*n69)*(pow(alpha, NP0*n0 - n101*n5)*n33*n5*n86/n97 + n33*n69) + n170*n47*xF[2]*(pow(alpha, NP0*n0 - n101*n5)*n0*n48*n5*n86/n97 + pow(alpha, n0*n18 - n101*n5)*n0*n48*n5*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n5)*n22*n24*n53/(n52*n98) + n24*n38*n48) + n171*n63*(pow(alpha, NP0*n0 - n0*n101)*n0*n1*n86/n97 + n84)*(pow(alpha, NP0*n0 - n0*n101)*n0*n33*n86/n97 + n0*n33*n34) + n174 + n175 + n176 + n177 + n178 + n179 + n180 + n181 + n182 + n183 + n232 + n233 + n234 + n235 + n236 + n237 + n238 + n239 + n240 + n241 + n63*n67*(pow(alpha, NP0*n0 - n101*n12)*n1*n12*n86/n97 + n82)*(pow(alpha, NP0*n0 - n101*n12)*n12*n33*n86/n97 + n12*n33*n45)/n155 + n63*n73*(pow(alpha, NP0*n0 - n101*n11)*n1*n11*n86/n97 + n83)*(pow(alpha, NP0*n0 - n101*n11)*n11*n33*n86/n97 + n33*n80)/n154 + n63*n71*(pow(alpha, NP0*n0 - n10*n101)*n1*n10*n86/n97 + n85)*(pow(alpha, NP0*n0 - n10*n101)*n10*n33*n86/n97 + n33*n79)/n153 + n63*n78*(pow(alpha, NP0*n0 - n101*n9)*n1*n86*n9/n97 + n1*n74)*(pow(alpha, NP0*n0 - n101*n9)*n33*n86*n9/n97 + n33*n74)/n152 + n63*n66*(pow(alpha, NP0*n0 - n101*n8)*n1*n8*n86/n97 + n1*n70)*(pow(alpha, NP0*n0 - n101*n8)*n33*n8*n86/n97 + n33*n70)/n151 + n56*n63*xF[4]*(pow(alpha, NP0*n0 - n101*n7)*n1*n7*n86/n97 + n1*n77)*(pow(alpha, NP0*n0 - n101*n7)*n33*n7*n86/n97 + n33*n77)/n150 + n63*n68*(pow(alpha, NP0*n0 - n101*n6)*n1*n6*n86/n97 + n1*n75)*(pow(alpha, NP0*n0 - n101*n6)*n33*n6*n86/n97 + n33*n75)/n149 + n63*n72*(pow(alpha, NP0*n0 - n101*n4)*n1*n4*n86/n97 + n1*n76)*(pow(alpha, NP0*n0 - n101*n4)*n33*n4*n86/n97 + n33*n76)/n147 + n63*n67*(pow(alpha, NP0*n0 - n101*n12)*n12*n65*n86/n97 + pow(alpha, n0*n18 - n101*n12)*n12*n53*n65/(n52*n98) + pow(alpha, n0*n18 - n101*n12)*n31*n48*n53/(n52*n98) + n92)/n145 + n63*n73*(pow(alpha, NP0*n0 - n101*n11)*n11*n65*n86/n97 + pow(alpha, n0*n18 - n101*n11)*n11*n53*n65/(n52*n98) + pow(alpha, n0*n18 - n101*n11)*n30*n48*n53/(n52*n98) + n91)/n144 + n63*n71*(pow(alpha, NP0*n0 - n10*n101)*n10*n65*n86/n97 + pow(alpha, n0*n18 - n10*n101)*n10*n53*n65/(n52*n98) + pow(alpha, n0*n18 - n10*n101)*n29*n48*n53/(n52*n98) + n93)/n143 + n47*n78*(pow(alpha, NP0*n0 - n101*n9)*n0*n48*n86*n9/n97 + pow(alpha, n0*n18 - n101*n9)*n0*n48*n53*n9/(n52*n98) + pow(alpha, n0*n18 - n101*n9)*n22*n28*n53/(n52*n98) + n28*n42*n48)/n142 + n63*n66*(pow(alpha, NP0*n0 - n101*n8)*n65*n8*n86/n97 + pow(alpha, n0*n18 - n101*n8)*n27*n48*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n8)*n53*n65*n8/(n52*n98) + n22*n27*n41)/n141 + n56*n63*xF[4]*(pow(alpha, NP0*n0 - n101*n7)*n65*n7*n86/n97 + pow(alpha, n0*n18 - n101*n7)*n26*n48*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n7)*n53*n65*n7/(n52*n98) + n89)/n140 + n63*n68*(pow(alpha, NP0*n0 - n101*n6)*n6*n65*n86/n97 + pow(alpha, n0*n18 - n101*n6)*n25*n48*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n6)*n53*n6*n65/(n52*n98) + n94)/n139 + n63*n72*(pow(alpha, NP0*n0 - n101*n4)*n4*n65*n86/n97 + pow(alpha, n0*n18 - n101*n4)*n23*n48*n53/(n52*n98) + pow(alpha, n0*n18 - n101*n4)*n4*n53*n65/(n52*n98) + n96)/n137)) - n262, -n14);
      NP_sqrt_base = fabs(NP_sqrt_base);
      NP1 = (-NP_b - sqrt(NP_sqrt_base))/NP_2a;
      NT1 = n64*(n99 - log(-pow(alpha, NP1*n0)*n86 + 1));
      g0 = MW[1] - Mstar;
      g1 = MW[0] - Mstar;
      g2 = NT1 + 1;
      g3 = xPj - xTj;
      g4 = MW[2] - Mstar;
      g5 = MW[3] - Mstar;
      g6 = MW[4] - Mstar;
      g7 = MW[5] - Mstar;
      g8 = MW[6] - Mstar;
      g9 = MW[7] - Mstar;
      g10 = MW[8] - Mstar;
      g11 = MW[9] - Mstar;
      g12 = xF[0] - xTj;
      g13 = xF[0] - xPj;
      g14 = -xTj;
      g15 = xPj/xF[1];
      g16 = pow(alpha, -g1);
      g17 = pow(alpha, -g0);
      g18 = pow(alpha, -g4);
      g19 = pow(alpha, -g5);
      g20 = pow(alpha, -g6);
      g21 = pow(alpha, -g7);
      g22 = pow(alpha, -g8);
      g23 = pow(alpha, -g9);
      g24 = pow(alpha, -g10);
      g25 = pow(alpha, -g11);
      g26 = log(xF[0]/xF[1]);
      g27 = -g2;
      g28 = pow(alpha, NP1*g0);
      g29 = pow(alpha, NP1*g1);
      g30 = log(g16);
      g31 = pow(alpha, NP1*g4);
      g32 = pow(alpha, NP1*g5);
      g33 = pow(alpha, NP1*g6);
      g34 = pow(alpha, NP1*g7);
      g35 = pow(alpha, NP1*g8);
      g36 = pow(alpha, NP1*g9);
      g37 = pow(alpha, NP1*g10);
      g38 = pow(alpha, NP1*g11);
      g39 = -g26;
      g40 = g12/g3;
      g41 = g3/g12;
      g42 = -g28 + 1;
      g43 = -g28 + 1;
      g44 = -g29 + 1;
      g45 = -g31 + 1;
      g46 = -g32 + 1;
      g47 = -g33 + 1;
      g48 = -g34 + 1;
      g49 = -g35 + 1;
      g50 = -g36 + 1;
      g51 = -g37 + 1;
      g52 = -g38 + 1;
      g53 = -g29;
      g54 = -g31;
      g55 = -g32;
      g56 = -g33;
      g57 = -g34;
      g58 = -g35;
      g59 = -g36;
      g60 = -g37;
      g61 = -g38;
      g62 = -1.0*g26;
      g63 = -g3/g13;
      g64 = g13/(g3*xF[1]);
      g65 = pow(alpha, g0*g27) - 1;
      g66 = pow(alpha, g0*g27) - 1;
      g67 = pow(alpha, g1*g27) - 1;
      g68 = pow(alpha, g27*g4) - 1;
      g69 = pow(alpha, g27*g5) - 1;
      g70 = pow(alpha, g27*g6) - 1;
      g71 = pow(alpha, g27*g7) - 1;
      g72 = pow(alpha, g27*g8) - 1;
      g73 = pow(alpha, g27*g9) - 1;
      g74 = pow(alpha, g10*g27) - 1;
      g75 = pow(alpha, g11*g27) - 1;
      g76 = -pow(alpha, g1*g27);
      g77 = -pow(alpha, g27*g4);
      g78 = -pow(alpha, g27*g5);
      g79 = -pow(alpha, g27*g6);
      g80 = -pow(alpha, g27*g7);
      g81 = -pow(alpha, g27*g8);
      g82 = -pow(alpha, g27*g9);
      g83 = -pow(alpha, g10*g27);
      g84 = -pow(alpha, g11*g27);
      g85 = g43 + g66;
      g86 = -g29 - g76;
      g87 = -g31 - g77;
      g88 = -g32 - g78;
      g89 = -g33 - g79;
      g90 = -g34 - g80;
      g91 = -g35 - g81;
      g92 = -g36 - g82;
      g93 = -g37 - g83;
      g94 = -g38 - g84;
      g95 = pow(alpha, g1*g27) + g53;
      g96 = g43 + g66;
      g97 = pow(alpha, g27*g4) + g54;
      g98 = pow(alpha, g27*g5) + g55;
      g99 = pow(alpha, g27*g6) + g56;
      g100 = pow(alpha, g27*g7) + g57;
      g101 = pow(alpha, g27*g8) + g58;
      g102 = pow(alpha, g27*g9) + g59;
      g103 = pow(alpha, g10*g27) + g60;
      g104 = pow(alpha, g11*g27) + g61;
      g105 = xF[9]/g104;
      g106 = xF[8]/g103;
      g107 = xF[1]/g96;
      g108 = xF[2]/g97;
      g109 = xF[3]/g98;
      g110 = xF[6]/g101;
      g111 = xF[7]/g102;
      g112 = xF[4]/g99;
      g113 = xF[5]/g100;
      g114 = xF[0]/g95;
      g115 = xF[1]/g85;
      g116 = xF[0]/g86;
      g117 = xF[9]/g94;
      g118 = xF[4]/g89;
      g119 = xF[5]/g90;
      g120 = xF[7]/g92;
      g121 = xF[2]/g87;
      g122 = xF[3]/g88;
      g123 = xF[6]/g91;
      g124 = xF[8]/g93;
      g125 = g49/g91;
      g126 = g52/g94;
      g127 = g47/g89;
      g128 = g50/g92;
      g129 = g44/g86;
      g130 = g48/g90;
      g131 = g46/g88;
      g132 = g42/g85;
      g133 = g45/g87;
      g134 = g51/g93;
      g135 = g65/g85;
      g136 = g67/g86;
      g137 = g71/g90;
      g138 = g68/g87;
      g139 = g69/g88;
      g140 = g70/g89;
      g141 = g74/g93;
      g142 = g75/g94;
      g143 = g72/g91;
      g144 = g73/g92;
      g145 = log(g14*g64*g96/g43);
      g146 = log(g14*g64*g85/g42);
      g147 = log(g15*g40*g96/g66);
      g148 = 1.0*g145;
      g149 = log(g15*g40*g85/g65);
      g150 = 1.0*g147;
      g151 = -g105*g148*(g61 + 1) - g105*g150*(pow(alpha, g11*g27) - 1) - g106*g148*(g60 + 1) - g106*g150*(pow(alpha, g10*g27) - 1) - g107*g148*g43 - g107*g150*g66 - g108*g148*(g54 + 1) - g108*g150*(pow(alpha, g27*g4) - 1) - g109*g148*(g55 + 1) - g109*g150*(pow(alpha, g27*g5) - 1) - g110*g148*(g58 + 1) - g110*g150*(pow(alpha, g27*g8) - 1) - g111*g148*(g59 + 1) - g111*g150*(pow(alpha, g27*g9) - 1) - g112*g148*(g56 + 1) - g112*g150*(pow(alpha, g27*g6) - 1) - g113*g148*(g57 + 1) - g113*g150*(pow(alpha, g27*g7) - 1) - g114*g148*(g53 + 1) - g114*g150*(pow(alpha, g1*g27) - 1) - g62*xF[0] - g62*xF[1] - g62*xF[2] - g62*xF[3] - g62*xF[4] - g62*xF[5] - g62*xF[6] - g62*xF[7] - g62*xF[8] - g62*xF[9];
      LpF = xF[0]*(g16 + 1.0)*(g129*g146 + g136*g149 + g39)/(g30*(g16 - 1.0)) + xF[1]*(g17 + 1.0)*(g132*g146 + g135*g149 + g39)/(g30*(g17 - 1.0)) + xF[2]*(g18 + 1.0)*(g133*g146 + g138*g149 + g39)/(g30*(g18 - 1.0)) + xF[3]*(g19 + 1.0)*(g131*g146 + g139*g149 + g39)/(g30*(g19 - 1.0)) + xF[4]*(g20 + 1.0)*(g127*g146 + g140*g149 + g39)/(g30*(g20 - 1.0)) + xF[5]*(g21 + 1.0)*(g130*g146 + g137*g149 + g39)/(g30*(g21 - 1.0)) + xF[6]*(g22 + 1.0)*(g125*g146 + g143*g149 + g39)/(g30*(g22 - 1.0)) + xF[7]*(g23 + 1.0)*(g128*g146 + g144*g149 + g39)/(g30*(g23 - 1.0)) + xF[8]*(g24 + 1.0)*(g134*g146 + g141*g149 + g39)/(g30*(g24 - 1.0)) + xF[9]*(g25 + 1.0)*(g126*g146 + g142*g149 + g39)/(g30*(g25 - 1.0));
      PpF = g40;
      TpF = -g13/g3;
      SWUpF = g151;
      SWUpP = g151*g41;
      xP[0] = g116*g41*g67;
      xP[1] = g115*g41*g65;
      xP[2] = g121*g41*g68;
      xP[3] = g122*g41*g69;
      xP[4] = g118*g41*g70;
      xP[5] = g119*g41*g71;
      xP[6] = g123*g41*g72;
      xP[7] = g120*g41*g73;
      xP[8] = g124*g41*g74;
      xP[9] = g117*g41*g75;
      xT[0] = g116*g44*g63;
      xT[1] = g115*g42*g63;
      xT[2] = g121*g45*g63;
      xT[3] = g122*g46*g63;
      xT[4] = g118*g47*g63;
      xT[5] = g119*g48*g63;
      xT[6] = g123*g49*g63;
      xT[7] = g120*g50*g63;
      xT[8] = g124*g51*g63;
      xT[9] = g117*g52*g63;
      break;
    case 11:
      n0 = MW[0] - Mstar;
      n1 = log(alpha);
      n2 = xPj - xTj;
      n3 = xF[0] - xPj;
      n4 = MW[10] - Mstar;
      n5 = MW[1] - Mstar;
      n6 = MW[2] - Mstar;
      n7 = MW[3] - Mstar;
      n8 = MW[4] - Mstar;
      n9 = MW[5] - Mstar;
      n10 = MW[6] - Mstar;
      n11 = MW[7] - Mstar;
      n12 = MW[8] - Mstar;
      n13 = MW[9] - Mstar;
      n14 = log(xTj);
      n15 = -2;
      n16 = xF[0]*xPj;
      n17 = -Mstar;
      n18 = -xPj;
      n19 = -NP0*n15;
      n20 = -xTj;
      n21 = pow(n0, -n15);
      n22 = pow(n1, -n15);
      n23 = pow(n4, -n15);
      n24 = pow(n5, -n15);
      n25 = pow(n6, -n15);
      n26 = pow(n7, -n15);
      n27 = pow(n8, -n15);
      n28 = pow(n9, -n15);
      n29 = pow(n10, -n15);
      n30 = pow(n11, -n15);
      n31 = pow(n12, -n15);
      n32 = pow(n13, -n15);
      n33 = Mstar*n1;
      n34 = -n1*n15;
      n35 = n1*xF[0];
      n36 = pow(alpha, NP0*n0);
      n37 = n16 + n20*xF[0];
      n38 = n16 + n18*xTj;
      n39 = pow(alpha, NP0*n4);
      n40 = pow(alpha, NP0*n5);
      n41 = pow(alpha, NP0*n6);
      n42 = pow(alpha, NP0*n7);
      n43 = pow(alpha, NP0*n8);
      n44 = pow(alpha, NP0*n9);
      n45 = pow(alpha, NP0*n10);
      n46 = pow(alpha, NP0*n11);
      n47 = pow(alpha, NP0*n12);
      n48 = pow(alpha, NP0*n13);
      n49 = -MW[0]*n1;
      n50 = n2/n3;
      n51 = -n22;
      n52 = n1*n11;
      n53 = n1*n9;
      n54 = n1*n8;
      n55 = -n36 + 1;
      n56 = -n39 + 1;
      n57 = pow(alpha, n0*n19);
      n58 = pow(n37, -n15);
      n59 = pow(n38, -n15);
      n60 = -n40 + 1;
      n61 = -n41 + 1;
      n62 = -n42 + 1;
      n63 = -n43 + 1;
      n64 = -n44 + 1;
      n65 = -n45 + 1;
      n66 = -n46 + 1;
      n67 = -n47 + 1;
      n68 = -n48 + 1;
      n69 = -n56;
      n70 = -n36;
      n71 = -n50;
      n72 = n0*n22;
      n73 = 1/(n0*n1);
      n74 = n64*xF[5];
      n75 = n55*xF[0];
      n76 = n41*n6;
      n77 = n65*xF[6];
      n78 = n12*n47;
      n79 = n67*xF[8];
      n80 = n39*n4;
      n81 = n10*n45;
      n82 = n42*n7;
      n83 = n61*xF[2];
      n84 = n40*n5;
      n85 = n0*n36;
      n86 = n11*n46;
      n87 = n60*xF[1];
      n88 = n22*n30;
      n89 = n56*xF[10];
      n90 = n44*n9;
      n91 = log((-1.0 + xPj/xF[0])/n2);
      n92 = n23*n39;
      n93 = n1*n13*n48;
      n94 = n38/n37;
      n95 = n21*n57;
      n96 = n22*n27*n43;
      n97 = n21*n22*n36;
      n98 = n22*n25*n41;
      n99 = n22*n32*n48;
      n100 = n22*n26*n42;
      n101 = n22*n29*n45;
      n102 = n22*n24*n40;
      n103 = n50*n78*xF[8];
      n104 = n70*n94 + 1;
      n105 = pow(n104, -n15);
      n106 = n14 + n33 + n49 + n91;
      n107 = n36*n94/n104;
      n108 = n57*n59/(n105*n58);
      n109 = n108*n22;
      n110 = n73*(n106 - log(n104)) + 1;
      n111 = pow(alpha, n0*n110);
      n112 = pow(alpha, n110*n4);
      n113 = pow(alpha, n110*n5);
      n114 = pow(alpha, n110*n6);
      n115 = pow(alpha, n110*n7);
      n116 = pow(alpha, n110*n8);
      n117 = pow(alpha, n110*n9);
      n118 = pow(alpha, n10*n110);
      n119 = pow(alpha, n11*n110);
      n120 = pow(alpha, n110*n12);
      n121 = pow(alpha, n110*n13);
      n122 = n5/n113;
      n123 = n13/n121;
      n124 = n12/n120;
      n125 = n7/n115;
      n126 = n4/n112;
      n127 = n11/n119;
      n128 = n10/n118;
      n129 = n8/n116;
      n130 = n9/n117;
      n131 = n6/n114;
      n132 = n23/n112;
      n133 = n32/n121;
      n134 = n0*n131;
      n135 = n55 - 1 + 1.0/n111;
      n136 = n56 - 1 + 1.0/n112;
      n137 = n60 - 1 + 1.0/n113;
      n138 = n61 - 1 + 1.0/n114;
      n139 = n62 - 1 + 1.0/n115;
      n140 = n63 - 1 + 1.0/n116;
      n141 = n64 - 1 + 1.0/n117;
      n142 = n65 - 1 + 1.0/n118;
      n143 = n66 - 1 + 1.0/n119;
      n144 = n67 - 1 + 1.0/n120;
      n145 = n68 - 1 + 1.0/n121;
      n146 = pow(n135, -n15);
      n147 = pow(n136, -n15);
      n148 = pow(n137, -n15);
      n149 = pow(n138, -n15);
      n150 = pow(n139, -n15);
      n151 = pow(n140, -n15);
      n152 = pow(n141, -n15);
      n153 = pow(n142, -n15);
      n154 = pow(n143, -n15);
      n155 = pow(n144, -n15);
      n156 = pow(n145, -n15);
      n157 = pow(n135, 3);
      n158 = pow(n136, 3);
      n159 = pow(n137, 3);
      n160 = pow(n138, 3);
      n161 = pow(n139, 3);
      n162 = pow(n140, 3);
      n163 = pow(n141, 3);
      n164 = pow(n142, 3);
      n165 = pow(n143, 3);
      n166 = pow(n144, 3);
      n167 = pow(n145, 3);
      n168 = xF[9]/n145;
      n169 = xF[0]/n135;
      n170 = xF[2]/n138;
      n171 = xF[6]/n142;
      n172 = xF[1]/n137;
      n173 = xF[4]/n140;
      n174 = xF[10]/n136;
      n175 = xF[3]/n139;
      n176 = n1/n144;
      n177 = -1/n151;
      n178 = n1*n175;
      n179 = n46*xF[7]/n143;
      n180 = n68*xF[9]/n167;
      n181 = n62*xF[3]/n150;
      n182 = n66*xF[7]/n165;
      n183 = n66*xF[7]/n154;
      n184 = n68*xF[9]/n156;
      n185 = n44*n53*xF[5]/n141;
      n186 = 1/(n104*n111);
      n187 = n22*n31*n47*xF[8]/n144;
      n188 = n22*n28*n44*xF[5]/n141;
      n189 = n35*n50*n85/n135;
      n190 = n0*n35*n50*n70/n135;
      n191 = n169*n50*n97;
      n192 = n174*n22*n50*n92;
      n193 = n102*n172*n50;
      n194 = n170*n50*n98;
      n195 = n100*n175*n50;
      n196 = n173*n50*n96;
      n197 = n188*n50;
      n198 = n101*n171*n50;
      n199 = n179*n50*n88;
      n200 = n187*n50;
      n201 = n168*n50*n99;
      n202 = 0.5*n191;
      n203 = n186*n94 + 1;
      n204 = n1*n186*n85*n94 + n1*n85;
      n205 = n1*n107*n126 + n1*n80;
      n206 = n1*n107*n122 + n1*n84;
      n207 = n1*n107*n131 + n1*n76;
      n208 = n1*n107*n125 + n1*n82;
      n209 = n107*n54/n116 + n43*n54;
      n210 = n107*n53/n117 + n44*n53;
      n211 = n1*n107*n128 + n1*n81;
      n212 = n107*n52/n119 + n46*n52;
      n213 = n1*n107*n124 + n1*n78;
      n214 = n1*n107*n123 + n93;
      n215 = pow(n204, -n15);
      n216 = pow(n205, -n15);
      n217 = pow(n206, -n15);
      n218 = pow(n207, -n15);
      n219 = pow(n208, -n15);
      n220 = pow(n209, -n15);
      n221 = pow(n210, -n15);
      n222 = pow(n211, -n15);
      n223 = pow(n212, -n15);
      n224 = pow(n213, -n15);
      n225 = pow(n214, -n15);
      n226 = n186*n34*n85*n94 + n34*n85;
      n227 = n107*n21*n51/n111 + n21*n36*n51;
      n228 = n209*n63*xF[4];
      n229 = n203/n146;
      n230 = n210/n152;
      n231 = n213/n155;
      n232 = n204/n146;
      n233 = n211/n153;
      n234 = n206/n148;
      n235 = n207/n149;
      n236 = n215/n157;
      n237 = n205*xF[10]/n147;
      n238 = n224/n166;
      n239 = n218/n160;
      n240 = n217/n159;
      n241 = n227/n146;
      n242 = n219*n62*xF[3]/n161;
      n243 = n220*n63*xF[4]/n162;
      n244 = n232*n71*n75;
      n245 = n34*n50*n85*xF[0]*(pow(alpha, NP0*n0 - n0*n110)*n0*n1*n94/n104 + n1*n85)/n146;
      n246 = n34*n50*n80*xF[10]*(pow(alpha, NP0*n0 - n110*n4)*n1*n4*n94/n104 + n1*n80)/n147;
      n247 = n34*n50*n84*xF[1]*(pow(alpha, NP0*n0 - n110*n5)*n1*n5*n94/n104 + n1*n84)/n148;
      n248 = n34*n50*n76*xF[2]*(pow(alpha, NP0*n0 - n110*n6)*n1*n6*n94/n104 + n1*n76)/n149;
      n249 = n34*n50*n82*xF[3]*(pow(alpha, NP0*n0 - n110*n7)*n1*n7*n94/n104 + n1*n82)/n150;
      n250 = n34*n43*n50*n8*xF[4]*(pow(alpha, NP0*n0 - n110*n8)*n54*n94/n104 + n43*n54)/n151;
      n251 = n34*n50*n90*xF[5]*(pow(alpha, NP0*n0 - n110*n9)*n53*n94/n104 + n44*n53)/n152;
      n252 = n34*n50*n81*xF[6]*(pow(alpha, NP0*n0 - n10*n110)*n1*n10*n94/n104 + n1*n81)/n153;
      n253 = n34*n50*n86*xF[7]*(pow(alpha, NP0*n0 - n11*n110)*n52*n94/n104 + n46*n52)/n154;
      n254 = n103*n34*(pow(alpha, NP0*n0 - n110*n12)*n1*n12*n94/n104 + n1*n78)/n155;
      n255 = n13*n34*n48*n50*xF[9]*(pow(alpha, NP0*n0 - n110*n13)*n1*n13*n94/n104 + n93)/n156;
      n256 = 1.0*n35*n50*n85*(pow(alpha, NP0*n0 - n0*n110)*n0*n1*n94/n104 + n1*n85)/n146;
      n257 = n241*n50*n75;
      n258 = 0.5*n257;
      n259 = n189 + n244;
      n260 = n204*n226/n157;
      n261 = n107*n126*n72 + n108*n126*n72 + n108*n132*n51 + n22*n92;
      n262 = n102 + n107*n122*n72 + n108*n122*n72 + n108*n24*n51/n113;
      n263 = n108*n134*n51 + n109*n25/n114 + n25*n41*n51 + n131*n51*n85*n94/n104;
      n264 = n107*n129*n72 + n108*n129*n72 + n108*n27*n51/n116 + n96;
      n265 = n107*n130*n72 + n108*n130*n72 + n108*n28*n51/n117 + n22*n28*n44;
      n266 = n0*n108*n128*n51 + n109*n29/n118 + n29*n45*n51 + n128*n51*n85*n94/n104;
      n267 = n107*n124*n72 + n108*n124*n72 + n108*n31*n51/n120 + n22*n31*n47;
      n268 = n50*n83*(pow(alpha, n0*n19 - n110*n6)*n0*n51*n59*n6/(n105*n58) + pow(alpha, n0*n19 - n110*n6)*n22*n25*n59/(n105*n58) + n25*n41*n51 + n131*n51*n85*n94/n104)/n149;
      n269 = n50*n77*(pow(alpha, n0*n19 - n10*n110)*n0*n10*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n10*n110)*n22*n29*n59/(n105*n58) + n29*n45*n51 + n128*n51*n85*n94/n104)/n153;
      n270 = n71*n87*(pow(alpha, n0*n19 - n110*n5)*n24*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n5)*n5*n59*n72/(n105*n58) + n102 + n107*n122*n72)/n148;
      n271 = n181*n71*(pow(alpha, n0*n19 - n110*n7)*n26*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n7)*n59*n7*n72/(n105*n58) + n100 + n107*n125*n72);
      n272 = n63*n71*xF[4]*(pow(alpha, n0*n19 - n110*n8)*n27*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n8)*n59*n72*n8/(n105*n58) + n107*n129*n72 + n96)/n151;
      n273 = n71*n74*(pow(alpha, n0*n19 - n110*n9)*n28*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n9)*n59*n72*n9/(n105*n58) + n107*n130*n72 + n22*n28*n44)/n152;
      n274 = n183*n71*(pow(alpha, n0*n19 - n11*n110)*n11*n59*n72/(n105*n58) + pow(alpha, n0*n19 - n11*n110)*n30*n51*n59/(n105*n58) + n107*n127*n72 + n46*n88);
      n275 = n71*n79*(pow(alpha, n0*n19 - n110*n12)*n12*n59*n72/(n105*n58) + pow(alpha, n0*n19 - n110*n12)*n31*n51*n59/(n105*n58) + n107*n124*n72 + n22*n31*n47)/n155;
      n276 = n202 + n256 + n258;
      n277 = n1*n170*n50*n76 + n1*n171*n50*n81 + n1*n172*n50*n84 + n1*n174*n50*n80 + n103*n176 + n168*n50*n93 + n173*n43*n50*n54 + n178*n50*n82 + n179*n50*n52 + n181*n208*n71 + n183*n212*n71 + n184*n214*n71 + n185*n50 + n230*n71*n74 + n231*n71*n79 + n233*n71*n77 + n234*n71*n87 + n235*n71*n83 + n237*n50*n69 + n259 + n228*n71/n151;
      n278 = n191 + n192 + n193 + n194 + n195 + n196 + n197 + n198 + n199 + n200 + n201 + n245 + n246 + n247 + n248 + n249 + n250 + n251 + n252 + n253 + n254 + n255 + n257 + n268 + n269 + n270 + n271 + n272 + n273 + n274 + n275;
      n279 = n180*n214*n71*(n107*n123*n34 + n13*n34*n48) + n182*n212*n71*(n107*n127*n34 + n34*n86) + n184*n50*(pow(alpha, n0*n19 - n110*n13)*n0*n13*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n13)*n22*n32*n59/(n105*n58) + n32*n48*n51 + n123*n51*n85*n94/n104) + n260*n71*n75 + n278 + n213*n71*n79*(n107*n124*n34 + n34*n78)/n166 + n211*n71*n77*(n107*n128*n34 + n34*n81)/n164 + n210*n71*n74*(n107*n130*n34 + n34*n90)/n163 + n228*n71*(n107*n129*n34 + n34*n43*n8)/n162 + n208*n62*n71*xF[3]*(n107*n125*n34 + n34*n82)/n161 + n207*n71*n83*(n107*n131*n34 + n34*n76)/n160 + n206*n71*n87*(n107*n122*n34 + n34*n84)/n159 + n205*n50*n69*xF[10]*(n107*n126*n34 + n34*n80)/n158 + n50*n89*(pow(alpha, n0*n19 - n110*n4)*n0*n4*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n4)*n22*n23*n59/(n105*n58) + n51*n92 + n126*n51*n85*n94/n104)/n147;
      NP_b = -n19*(n202 - 1.0*n236*n50*n75 + n256 - 0.5*xTj*(n15*n180*n225*n50 + n15*n182*n223*n50 + n15*n236*n50*n75 + n15*n238*n50*n79 + n15*n239*n50*n83 + n15*n240*n50*n87 + n15*n242*n50 + n15*n243*n50 + n15*n222*n50*n77/n164 + n15*n221*n50*n74/n163 + n15*n216*n50*n89/n158 + n181*n71*(pow(alpha, NP0*n0 - n110*n7)*n7*n72*n94/n104 + pow(alpha, n0*n19 - n110*n7)*n26*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n7)*n59*n7*n72/(n105*n58) + n100) + n183*n71*(pow(alpha, NP0*n0 - n11*n110)*n11*n72*n94/n104 + pow(alpha, n0*n19 - n11*n110)*n11*n59*n72/(n105*n58) + pow(alpha, n0*n19 - n11*n110)*n30*n51*n59/(n105*n58) + n46*n88) + n184*n71*(pow(alpha, NP0*n0 - n110*n13)*n13*n72*n94/n104 + pow(alpha, n0*n19 - n110*n13)*n13*n59*n72/(n105*n58) + pow(alpha, n0*n19 - n110*n13)*n32*n51*n59/(n105*n58) + n99) + n191 + n192 + n193 + n194 + n195 + n196 + n197 + n198 + n199 + n200 + n201 + n245 + n246 + n247 + n248 + n249 + n250 + n251 + n252 + n253 + n254 + n255 + n71*n79*(pow(alpha, NP0*n0 - n110*n12)*n12*n72*n94/n104 + pow(alpha, n0*n19 - n110*n12)*n12*n59*n72/(n105*n58) + pow(alpha, n0*n19 - n110*n12)*n31*n51*n59/(n105*n58) + n22*n31*n47)/n155 + n50*n77*(pow(alpha, NP0*n0 - n10*n110)*n0*n10*n51*n94/n104 + pow(alpha, n0*n19 - n10*n110)*n0*n10*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n10*n110)*n22*n29*n59/(n105*n58) + n29*n45*n51)/n153 + n71*n74*(pow(alpha, NP0*n0 - n110*n9)*n72*n9*n94/n104 + pow(alpha, n0*n19 - n110*n9)*n28*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n9)*n59*n72*n9/(n105*n58) + n22*n28*n44)/n152 + n63*n71*xF[4]*(pow(alpha, NP0*n0 - n110*n8)*n72*n8*n94/n104 + pow(alpha, n0*n19 - n110*n8)*n27*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n8)*n59*n72*n8/(n105*n58) + n96)/n151 + n50*n83*(pow(alpha, NP0*n0 - n110*n6)*n0*n51*n6*n94/n104 + pow(alpha, n0*n19 - n110*n6)*n0*n51*n59*n6/(n105*n58) + pow(alpha, n0*n19 - n110*n6)*n22*n25*n59/(n105*n58) + n25*n41*n51)/n149 + n71*n87*(pow(alpha, NP0*n0 - n110*n5)*n5*n72*n94/n104 + pow(alpha, n0*n19 - n110*n5)*n24*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n5)*n5*n59*n72/(n105*n58) + n102)/n148 + n50*n69*xF[10]*(pow(alpha, NP0*n0 - n110*n4)*n4*n72*n94/n104 + pow(alpha, n0*n19 - n110*n4)*n23*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n4)*n4*n59*n72/(n105*n58) + n22*n92)/n147 + n50*n75*(pow(alpha, NP0*n0 - n0*n110)*n21*n22*(-n16 + n18*n20)/(n104*n37) + n21*n36*n51)/n146) + 0.5*n50*n75*(pow(alpha, NP0*n0 - n0*n110)*n21*n22*(-n16 + n18*n20)/(n104*n37) + n21*n36*n51)/n146) - n190 - n229*n35*n50*n55*n85 - n50*xTj*(n1*n170*n76 + n1*n171*n81 + n1*n172*n84 + n1*n174*n80 + n168*n93 + n173*n43*n54 + n176*n78*xF[8] + n177*n228 + n178*n82 + n179*n52 - n181*n208 - n183*n212 - n184*n214 + n185 - n230*n74 - n231*n79 - n232*n75 - n233*n77 - n234*n87 - n235*n83 + n237*n69 + n35*n85/n135);
      NP_2a = -n50*(n15*pow(n203, -n15)*n51*n75*n95/n157 - 1.0*n169*n97 - 2.0*n22*n229*n95*xF[0] + 1.0*xTj*(n100*n175 + n101*n171 + n102*n172 + n13*n34*n48*xF[9]*(pow(alpha, NP0*n0 - n110*n13)*n1*n13*n94/n104 + n93)/n156 + n15*n180*n225 + n15*n182*n223 + n15*n236*n75 + n15*n238*n79 + n15*n239*n83 + n15*n240*n87 + n15*n242 + n15*n243 + n15*n222*n77/n164 + n15*n221*n74/n163 + n15*n216*n89/n158 + n168*n99 + n169*n97 + n170*n98 + n173*n96 + n174*n22*n92 + n177*n63*xF[4]*(pow(alpha, n0*n19 - n110*n8)*n27*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n8)*n59*n72*n8/(n105*n58) + n107*n129*n72 + n96) + n179*n88 - n181*(pow(alpha, n0*n19 - n110*n7)*n26*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n7)*n59*n7*n72/(n105*n58) + n100 + n107*n125*n72) - n183*(pow(alpha, n0*n19 - n11*n110)*n11*n59*n72/(n105*n58) + pow(alpha, n0*n19 - n11*n110)*n30*n51*n59/(n105*n58) + n107*n127*n72 + n46*n88) - n184*(pow(alpha, n0*n19 - n110*n13)*n13*n59*n72/(n105*n58) + pow(alpha, n0*n19 - n110*n13)*n32*n51*n59/(n105*n58) + n107*n123*n72 + n99) + n187 + n188 + n241*n75 + n34*n78*xF[8]*(pow(alpha, NP0*n0 - n110*n12)*n1*n12*n94/n104 + n1*n78)/n155 - n79*(pow(alpha, n0*n19 - n110*n12)*n12*n59*n72/(n105*n58) + pow(alpha, n0*n19 - n110*n12)*n31*n51*n59/(n105*n58) + n107*n124*n72 + n22*n31*n47)/n155 + n34*n86*xF[7]*(pow(alpha, NP0*n0 - n11*n110)*n52*n94/n104 + n46*n52)/n154 + n34*n81*xF[6]*(pow(alpha, NP0*n0 - n10*n110)*n1*n10*n94/n104 + n1*n81)/n153 + n77*(pow(alpha, n0*n19 - n10*n110)*n0*n10*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n10*n110)*n22*n29*n59/(n105*n58) + n29*n45*n51 + n128*n51*n85*n94/n104)/n153 + n34*n90*xF[5]*(pow(alpha, NP0*n0 - n110*n9)*n53*n94/n104 + n44*n53)/n152 - n74*(pow(alpha, n0*n19 - n110*n9)*n28*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n9)*n59*n72*n9/(n105*n58) + n107*n130*n72 + n22*n28*n44)/n152 + n34*n43*n8*xF[4]*(pow(alpha, NP0*n0 - n110*n8)*n54*n94/n104 + n43*n54)/n151 + n34*n82*xF[3]*(pow(alpha, NP0*n0 - n110*n7)*n1*n7*n94/n104 + n1*n82)/n150 + n34*n76*xF[2]*(pow(alpha, NP0*n0 - n110*n6)*n1*n6*n94/n104 + n1*n76)/n149 + n83*(pow(alpha, n0*n19 - n110*n6)*n0*n51*n59*n6/(n105*n58) + pow(alpha, n0*n19 - n110*n6)*n22*n25*n59/(n105*n58) + n25*n41*n51 + n131*n51*n85*n94/n104)/n149 + n34*n84*xF[1]*(pow(alpha, NP0*n0 - n110*n5)*n1*n5*n94/n104 + n1*n84)/n148 - n87*(pow(alpha, n0*n19 - n110*n5)*n24*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n5)*n5*n59*n72/(n105*n58) + n102 + n107*n122*n72)/n148 + n34*n80*xF[10]*(pow(alpha, NP0*n0 - n110*n4)*n1*n4*n94/n104 + n1*n80)/n147 + n69*xF[10]*(pow(alpha, n0*n19 - n110*n4)*n23*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n4)*n4*n59*n72/(n105*n58) + n107*n126*n72 + n22*n92)/n147 + n34*n85*xF[0]*(pow(alpha, NP0*n0 - n0*n110)*n0*n1*n94/n104 + n1*n85)/n146) + n21*n36*n51*n75*(n186*(-n16 + xPj*xTj)/n37 - 1)/n146);
      NP_sqrt_base = (NP0*(n20*(n1*n170*n50*n76 + n1*n171*n50*n81 + n1*n172*n50*n84 + n1*n174*n50*n80 + n103*n176 + n168*n50*n93 + n173*n43*n50*n54 + n178*n50*n82 + n179*n50*n52 + n181*n71*(pow(alpha, NP0*n0 - n110*n7)*n1*n7*n94/n104 + n1*n82) + n183*n71*(pow(alpha, NP0*n0 - n11*n110)*n52*n94/n104 + n46*n52) + n184*n71*(pow(alpha, NP0*n0 - n110*n13)*n1*n13*n94/n104 + n93) + n185*n50 + n189 + n71*n79*(pow(alpha, NP0*n0 - n110*n12)*n1*n12*n94/n104 + n1*n78)/n155 + n71*n77*(pow(alpha, NP0*n0 - n10*n110)*n1*n10*n94/n104 + n1*n81)/n153 + n71*n74*(pow(alpha, NP0*n0 - n110*n9)*n53*n94/n104 + n44*n53)/n152 + n63*n71*xF[4]*(pow(alpha, NP0*n0 - n110*n8)*n54*n94/n104 + n43*n54)/n151 + n71*n83*(pow(alpha, NP0*n0 - n110*n6)*n1*n6*n94/n104 + n1*n76)/n149 + n71*n87*(pow(alpha, NP0*n0 - n110*n5)*n1*n5*n94/n104 + n1*n84)/n148 + n50*n69*xF[10]*(pow(alpha, NP0*n0 - n110*n4)*n1*n4*n94/n104 + n1*n80)/n147 + n71*n75*(pow(alpha, NP0*n0 - n0*n110)*n0*n1*n94/n104 + n1*n85)/n146) + n259) + xTj*(n168*n68*n71 + n173*n63*n71 + n174*n50*n69 + n175*n62*n71 + n71*n79/n144 + n66*n71*xF[7]/n143 + n71*n77/n142 + n71*n74/n141 + n71*n83/n138 + n71*n87/n137 + n71*n75/n135) + n50*n75/n135 + pow(NP0, -n15)*(-0.5*n191 - 0.5*n257 + 0.5*n260*n50*n75 + 0.5*n279*xTj - 1.0*n35*n50*n85*(pow(alpha, NP0*n0 - n0*n110)*n0*n1*n94/n104 + n1*n85)/n146))*(-n15*n20*(n180*n71*(pow(alpha, NP0*n0 - n110*n13)*n1*n13*n94/n104 + n93)*(pow(alpha, NP0*n0 - n110*n13)*n13*n34*n94/n104 + n13*n34*n48) + n181*n71*(pow(alpha, NP0*n0 - n110*n7)*n7*n72*n94/n104 + pow(alpha, n0*n19 - n110*n7)*n26*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n7)*n59*n7*n72/(n105*n58) + n100) + n182*n71*(pow(alpha, NP0*n0 - n11*n110)*n52*n94/n104 + n46*n52)*(pow(alpha, NP0*n0 - n11*n110)*n11*n34*n94/n104 + n34*n86) + n183*n71*(pow(alpha, NP0*n0 - n11*n110)*n11*n72*n94/n104 + pow(alpha, n0*n19 - n11*n110)*n11*n59*n72/(n105*n58) + pow(alpha, n0*n19 - n11*n110)*n30*n51*n59/(n105*n58) + n46*n88) + n184*n50*(pow(alpha, NP0*n0 - n110*n13)*n0*n13*n51*n94/n104 + pow(alpha, n0*n19 - n110*n13)*n0*n13*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n13)*n22*n32*n59/(n105*n58) + n32*n48*n51) + n191 + n192 + n193 + n194 + n195 + n196 + n197 + n198 + n199 + n200 + n201 + n245 + n246 + n247 + n248 + n249 + n250 + n251 + n252 + n253 + n254 + n255 + n71*n79*(pow(alpha, NP0*n0 - n110*n12)*n1*n12*n94/n104 + n1*n78)*(pow(alpha, NP0*n0 - n110*n12)*n12*n34*n94/n104 + n34*n78)/n166 + n71*n77*(pow(alpha, NP0*n0 - n10*n110)*n1*n10*n94/n104 + n1*n81)*(pow(alpha, NP0*n0 - n10*n110)*n10*n34*n94/n104 + n34*n81)/n164 + n71*n74*(pow(alpha, NP0*n0 - n110*n9)*n53*n94/n104 + n44*n53)*(pow(alpha, NP0*n0 - n110*n9)*n34*n9*n94/n104 + n34*n90)/n163 + n63*n71*xF[4]*(pow(alpha, NP0*n0 - n110*n8)*n54*n94/n104 + n43*n54)*(pow(alpha, NP0*n0 - n110*n8)*n34*n8*n94/n104 + n34*n43*n8)/n162 + n62*n71*xF[3]*(pow(alpha, NP0*n0 - n110*n7)*n1*n7*n94/n104 + n1*n82)*(pow(alpha, NP0*n0 - n110*n7)*n34*n7*n94/n104 + n34*n82)/n161 + n71*n83*(pow(alpha, NP0*n0 - n110*n6)*n1*n6*n94/n104 + n1*n76)*(pow(alpha, NP0*n0 - n110*n6)*n34*n6*n94/n104 + n34*n76)/n160 + n71*n87*(pow(alpha, NP0*n0 - n110*n5)*n1*n5*n94/n104 + n1*n84)*(pow(alpha, NP0*n0 - n110*n5)*n34*n5*n94/n104 + n34*n84)/n159 + n50*n69*xF[10]*(pow(alpha, NP0*n0 - n110*n4)*n1*n4*n94/n104 + n1*n80)*(pow(alpha, NP0*n0 - n110*n4)*n34*n4*n94/n104 + n34*n80)/n158 + n71*n75*(pow(alpha, NP0*n0 - n0*n110)*n0*n1*n94/n104 + n1*n85)*(pow(alpha, NP0*n0 - n0*n110)*n0*n34*n94/n104 + n34*n85)/n157 + n71*n79*(pow(alpha, NP0*n0 - n110*n12)*n12*n72*n94/n104 + pow(alpha, n0*n19 - n110*n12)*n12*n59*n72/(n105*n58) + pow(alpha, n0*n19 - n110*n12)*n31*n51*n59/(n105*n58) + n22*n31*n47)/n155 + n50*n77*(pow(alpha, NP0*n0 - n10*n110)*n0*n10*n51*n94/n104 + pow(alpha, n0*n19 - n10*n110)*n0*n10*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n10*n110)*n22*n29*n59/(n105*n58) + n29*n45*n51)/n153 + n71*n74*(pow(alpha, NP0*n0 - n110*n9)*n72*n9*n94/n104 + pow(alpha, n0*n19 - n110*n9)*n28*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n9)*n59*n72*n9/(n105*n58) + n22*n28*n44)/n152 + n63*n71*xF[4]*(pow(alpha, NP0*n0 - n110*n8)*n72*n8*n94/n104 + pow(alpha, n0*n19 - n110*n8)*n27*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n8)*n59*n72*n8/(n105*n58) + n96)/n151 + n50*n83*(pow(alpha, NP0*n0 - n110*n6)*n0*n51*n6*n94/n104 + pow(alpha, n0*n19 - n110*n6)*n0*n51*n59*n6/(n105*n58) + pow(alpha, n0*n19 - n110*n6)*n22*n25*n59/(n105*n58) + n25*n41*n51)/n149 + n71*n87*(pow(alpha, NP0*n0 - n110*n5)*n5*n72*n94/n104 + pow(alpha, n0*n19 - n110*n5)*n24*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n5)*n5*n59*n72/(n105*n58) + n102)/n148 + n50*n89*(pow(alpha, NP0*n0 - n110*n4)*n0*n4*n51*n94/n104 + pow(alpha, n0*n19 - n110*n4)*n0*n4*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n4)*n22*n23*n59/(n105*n58) + n51*n92)/n147 + n50*n75*(pow(alpha, NP0*n0 - n0*n110)*n21*n22*(-n16 + n18*n20)/(n104*n37) + n21*n36*n51)/n146) + 2.0*n191 - 4.0*n236*n50*n75 + 2.0*n257 + 4.0*n35*n50*n85*(pow(alpha, NP0*n0 - n0*n110)*n0*n1*n94/n104 + n1*n85)/n146) + pow(-n19*(n202 + n256 - 0.5*xTj*(n180*n71*(pow(alpha, NP0*n0 - n110*n13)*n1*n13*n94/n104 + n93)*(pow(alpha, NP0*n0 - n110*n13)*n13*n34*n94/n104 + n13*n34*n48) + n181*n71*(pow(alpha, NP0*n0 - n110*n7)*n7*n72*n94/n104 + pow(alpha, n0*n19 - n110*n7)*n26*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n7)*n59*n7*n72/(n105*n58) + n100) + n182*n71*(pow(alpha, NP0*n0 - n11*n110)*n52*n94/n104 + n46*n52)*(pow(alpha, NP0*n0 - n11*n110)*n11*n34*n94/n104 + n34*n86) + n183*n71*(pow(alpha, NP0*n0 - n11*n110)*n11*n72*n94/n104 + pow(alpha, n0*n19 - n11*n110)*n11*n59*n72/(n105*n58) + pow(alpha, n0*n19 - n11*n110)*n30*n51*n59/(n105*n58) + n46*n88) + n184*n50*(pow(alpha, NP0*n0 - n110*n13)*n0*n13*n51*n94/n104 + pow(alpha, n0*n19 - n110*n13)*n0*n13*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n13)*n22*n32*n59/(n105*n58) + n32*n48*n51) + n191 + n192 + n193 + n194 + n195 + n196 + n197 + n198 + n199 + n200 + n201 + n245 + n246 + n247 + n248 + n249 + n250 + n251 + n252 + n253 + n254 + n255 + n71*n79*(pow(alpha, NP0*n0 - n110*n12)*n1*n12*n94/n104 + n1*n78)*(pow(alpha, NP0*n0 - n110*n12)*n12*n34*n94/n104 + n34*n78)/n166 + n71*n77*(pow(alpha, NP0*n0 - n10*n110)*n1*n10*n94/n104 + n1*n81)*(pow(alpha, NP0*n0 - n10*n110)*n10*n34*n94/n104 + n34*n81)/n164 + n71*n74*(pow(alpha, NP0*n0 - n110*n9)*n53*n94/n104 + n44*n53)*(pow(alpha, NP0*n0 - n110*n9)*n34*n9*n94/n104 + n34*n90)/n163 + n63*n71*xF[4]*(pow(alpha, NP0*n0 - n110*n8)*n54*n94/n104 + n43*n54)*(pow(alpha, NP0*n0 - n110*n8)*n34*n8*n94/n104 + n34*n43*n8)/n162 + n62*n71*xF[3]*(pow(alpha, NP0*n0 - n110*n7)*n1*n7*n94/n104 + n1*n82)*(pow(alpha, NP0*n0 - n110*n7)*n34*n7*n94/n104 + n34*n82)/n161 + n71*n83*(pow(alpha, NP0*n0 - n110*n6)*n1*n6*n94/n104 + n1*n76)*(pow(alpha, NP0*n0 - n110*n6)*n34*n6*n94/n104 + n34*n76)/n160 + n71*n87*(pow(alpha, NP0*n0 - n110*n5)*n1*n5*n94/n104 + n1*n84)*(pow(alpha, NP0*n0 - n110*n5)*n34*n5*n94/n104 + n34*n84)/n159 + n50*n69*xF[10]*(pow(alpha, NP0*n0 - n110*n4)*n1*n4*n94/n104 + n1*n80)*(pow(alpha, NP0*n0 - n110*n4)*n34*n4*n94/n104 + n34*n80)/n158 + n71*n75*(pow(alpha, NP0*n0 - n0*n110)*n0*n1*n94/n104 + n1*n85)*(pow(alpha, NP0*n0 - n0*n110)*n0*n34*n94/n104 + n34*n85)/n157 + n71*n79*(pow(alpha, NP0*n0 - n110*n12)*n12*n72*n94/n104 + pow(alpha, n0*n19 - n110*n12)*n12*n59*n72/(n105*n58) + pow(alpha, n0*n19 - n110*n12)*n31*n51*n59/(n105*n58) + n22*n31*n47)/n155 + n50*n77*(pow(alpha, NP0*n0 - n10*n110)*n0*n10*n51*n94/n104 + pow(alpha, n0*n19 - n10*n110)*n0*n10*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n10*n110)*n22*n29*n59/(n105*n58) + n29*n45*n51)/n153 + n71*n74*(pow(alpha, NP0*n0 - n110*n9)*n72*n9*n94/n104 + pow(alpha, n0*n19 - n110*n9)*n28*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n9)*n59*n72*n9/(n105*n58) + n22*n28*n44)/n152 + n63*n71*xF[4]*(pow(alpha, NP0*n0 - n110*n8)*n72*n8*n94/n104 + pow(alpha, n0*n19 - n110*n8)*n27*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n8)*n59*n72*n8/(n105*n58) + n96)/n151 + n50*n83*(pow(alpha, NP0*n0 - n110*n6)*n0*n51*n6*n94/n104 + pow(alpha, n0*n19 - n110*n6)*n0*n51*n59*n6/(n105*n58) + pow(alpha, n0*n19 - n110*n6)*n22*n25*n59/(n105*n58) + n25*n41*n51)/n149 + n71*n87*(pow(alpha, NP0*n0 - n110*n5)*n5*n72*n94/n104 + pow(alpha, n0*n19 - n110*n5)*n24*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n5)*n5*n59*n72/(n105*n58) + n102)/n148 + n50*n89*(pow(alpha, NP0*n0 - n110*n4)*n0*n4*n51*n94/n104 + pow(alpha, n0*n19 - n110*n4)*n0*n4*n51*n59/(n105*n58) + pow(alpha, n0*n19 - n110*n4)*n22*n23*n59/(n105*n58) + n51*n92)/n147 + n50*n75*(pow(alpha, NP0*n0 - n0*n110)*n21*n22*(-n16 + n18*n20)/(n104*n37) + n21*n36*n51)/n146) - 0.5*n50*n75*(pow(alpha, NP0*n0 - n0*n110)*n0*n1*n94/n104 + n1*n85)*(pow(alpha, NP0*n0 - n0*n110)*n0*n34*n94/n104 + n34*n85)/n157 + 0.5*n50*n75*(pow(alpha, NP0*n0 - n0*n110)*n21*n22*(-n16 + n18*n20)/(n104*n37) + n21*n36*n51)/n146) - n190 - n232*n50*n75 - n277*xTj, -n15);
      NP_sqrt_base = fabs(NP_sqrt_base);
      NP1 = (-NP_b - sqrt(NP_sqrt_base))/NP_2a;
      NT1 = n73*(n106 - log(-pow(alpha, NP1*n0)*n94 + 1));
      g0 = MW[1] - Mstar;
      g1 = MW[0] - Mstar;
      g2 = NT1 + 1;
      g3 = xPj - xTj;
      g4 = MW[10] - Mstar;
      g5 = MW[2] - Mstar;
      g6 = MW[3] - Mstar;
      g7 = MW[4] - Mstar;
      g8 = MW[5] - Mstar;
      g9 = MW[6] - Mstar;
      g10 = MW[7] - Mstar;
      g11 = MW[8] - Mstar;
      g12 = MW[9] - Mstar;
      g13 = xF[0] - xTj;
      g14 = xF[0] - xPj;
      g15 = -xTj;
      g16 = xPj/xF[1];
      g17 = pow(alpha, -g1);
      g18 = pow(alpha, -g4);
      g19 = pow(alpha, -g0);
      g20 = pow(alpha, -g5);
      g21 = pow(alpha, -g6);
      g22 = pow(alpha, -g7);
      g23 = pow(alpha, -g8);
      g24 = pow(alpha, -g9);
      g25 = pow(alpha, -g10);
      g26 = pow(alpha, -g11);
      g27 = pow(alpha, -g12);
      g28 = log(xF[0]/xF[1]);
      g29 = -g2;
      g30 = pow(alpha, NP1*g0);
      g31 = pow(alpha, NP1*g1);
      g32 = pow(alpha, NP1*g4);
      g33 = log(g17);
      g34 = pow(alpha, NP1*g5);
      g35 = pow(alpha, NP1*g6);
      g36 = pow(alpha, NP1*g7);
      g37 = pow(alpha, NP1*g8);
      g38 = pow(alpha, NP1*g9);
      g39 = pow(alpha, NP1*g10);
      g40 = pow(alpha, NP1*g11);
      g41 = pow(alpha, NP1*g12);
      g42 = -g28;
      g43 = g13/g3;
      g44 = g3/g13;
      g45 = -g30 + 1;
      g46 = -g30 + 1;
      g47 = -g31 + 1;
      g48 = -g34 + 1;
      g49 = -g35 + 1;
      g50 = -g36 + 1;
      g51 = -g37 + 1;
      g52 = -g38 + 1;
      g53 = -g39 + 1;
      g54 = -g40 + 1;
      g55 = -g41 + 1;
      g56 = -g32 + 1;
      g57 = -g31;
      g58 = -g32;
      g59 = -g34;
      g60 = -g35;
      g61 = -g36;
      g62 = -g37;
      g63 = -g38;
      g64 = -g39;
      g65 = -g40;
      g66 = -g41;
      g67 = -1.0*g28;
      g68 = -g3/g14;
      g69 = g14/(g3*xF[1]);
      g70 = pow(alpha, g0*g29) - 1;
      g71 = pow(alpha, g0*g29) - 1;
      g72 = pow(alpha, g1*g29) - 1;
      g73 = pow(alpha, g29*g5) - 1;
      g74 = pow(alpha, g29*g6) - 1;
      g75 = pow(alpha, g29*g7) - 1;
      g76 = pow(alpha, g29*g8) - 1;
      g77 = pow(alpha, g29*g9) - 1;
      g78 = pow(alpha, g10*g29) - 1;
      g79 = pow(alpha, g11*g29) - 1;
      g80 = pow(alpha, g12*g29) - 1;
      g81 = pow(alpha, g29*g4) - 1;
      g82 = -pow(alpha, g1*g29);
      g83 = -pow(alpha, g29*g4);
      g84 = -pow(alpha, g29*g5);
      g85 = -pow(alpha, g29*g6);
      g86 = -pow(alpha, g29*g7);
      g87 = -pow(alpha, g29*g8);
      g88 = -pow(alpha, g29*g9);
      g89 = -pow(alpha, g10*g29);
      g90 = -pow(alpha, g11*g29);
      g91 = -pow(alpha, g12*g29);
      g92 = g46 + g71;
      g93 = -g31 - g82;
      g94 = -g32 - g83;
      g95 = -g34 - g84;
      g96 = -g35 - g85;
      g97 = -g36 - g86;
      g98 = -g37 - g87;
      g99 = -g38 - g88;
      g100 = -g39 - g89;
      g101 = -g40 - g90;
      g102 = -g41 - g91;
      g103 = pow(alpha, g1*g29) + g57;
      g104 = g46 + g71;
      g105 = pow(alpha, g29*g4) + g58;
      g106 = pow(alpha, g29*g5) + g59;
      g107 = pow(alpha, g29*g6) + g60;
      g108 = pow(alpha, g29*g7) + g61;
      g109 = pow(alpha, g29*g8) + g62;
      g110 = pow(alpha, g29*g9) + g63;
      g111 = pow(alpha, g10*g29) + g64;
      g112 = pow(alpha, g11*g29) + g65;
      g113 = pow(alpha, g12*g29) + g66;
      g114 = xF[9]/g113;
      g115 = xF[8]/g112;
      g116 = xF[1]/g104;
      g117 = xF[10]/g105;
      g118 = xF[3]/g107;
      g119 = xF[6]/g110;
      g120 = xF[7]/g111;
      g121 = xF[4]/g108;
      g122 = xF[5]/g109;
      g123 = xF[2]/g106;
      g124 = xF[0]/g103;
      g125 = xF[1]/g92;
      g126 = xF[0]/g93;
      g127 = xF[9]/g102;
      g128 = xF[4]/g97;
      g129 = xF[5]/g98;
      g130 = xF[7]/g100;
      g131 = xF[2]/g95;
      g132 = xF[3]/g96;
      g133 = xF[6]/g99;
      g134 = xF[8]/g101;
      g135 = xF[10]/g94;
      g136 = g52/g99;
      g137 = g55/g102;
      g138 = g50/g97;
      g139 = g53/g100;
      g140 = g47/g93;
      g141 = g51/g98;
      g142 = g49/g96;
      g143 = g45/g92;
      g144 = g48/g95;
      g145 = g56/g94;
      g146 = g54/g101;
      g147 = g70/g92;
      g148 = g72/g93;
      g149 = g76/g98;
      g150 = g73/g95;
      g151 = g74/g96;
      g152 = g75/g97;
      g153 = g79/g101;
      g154 = g80/g102;
      g155 = g77/g99;
      g156 = g78/g100;
      g157 = g81/g94;
      g158 = log(g104*g15*g69/g46);
      g159 = log(g15*g69*g92/g45);
      g160 = log(g104*g16*g43/g71);
      g161 = 1.0*g158;
      g162 = log(g16*g43*g92/g70);
      g163 = 1.0*g160;
      g164 = -g114*g161*(g66 + 1) - g114*g163*(pow(alpha, g12*g29) - 1) - g115*g161*(g65 + 1) - g115*g163*(pow(alpha, g11*g29) - 1) - g116*g161*g46 - g116*g163*g71 - g117*g161*(g58 + 1) - g117*g163*(pow(alpha, g29*g4) - 1) - g118*g161*(g60 + 1) - g118*g163*(pow(alpha, g29*g6) - 1) - g119*g161*(g63 + 1) - g119*g163*(pow(alpha, g29*g9) - 1) - g120*g161*(g64 + 1) - g120*g163*(pow(alpha, g10*g29) - 1) - g121*g161*(g61 + 1) - g121*g163*(pow(alpha, g29*g7) - 1) - g122*g161*(g62 + 1) - g122*g163*(pow(alpha, g29*g8) - 1) - g123*g161*(g59 + 1) - g123*g163*(pow(alpha, g29*g5) - 1) - g124*g161*(g57 + 1) - g124*g163*(pow(alpha, g1*g29) - 1) - g67*xF[0] - g67*xF[10] - g67*xF[1] - g67*xF[2] - g67*xF[3] - g67*xF[4] - g67*xF[5] - g67*xF[6] - g67*xF[7] - g67*xF[8] - g67*xF[9];
      LpF = xF[0]*(g17 + 1.0)*(g140*g159 + g148*g162 + g42)/(g33*(g17 - 1.0)) + xF[10]*(g18 + 1.0)*(g145*g159 + g157*g162 + g42)/(g33*(g18 - 1.0)) + xF[1]*(g19 + 1.0)*(g143*g159 + g147*g162 + g42)/(g33*(g19 - 1.0)) + xF[2]*(g20 + 1.0)*(g144*g159 + g150*g162 + g42)/(g33*(g20 - 1.0)) + xF[3]*(g21 + 1.0)*(g142*g159 + g151*g162 + g42)/(g33*(g21 - 1.0)) + xF[4]*(g22 + 1.0)*(g138*g159 + g152*g162 + g42)/(g33*(g22 - 1.0)) + xF[5]*(g23 + 1.0)*(g141*g159 + g149*g162 + g42)/(g33*(g23 - 1.0)) + xF[6]*(g24 + 1.0)*(g136*g159 + g155*g162 + g42)/(g33*(g24 - 1.0)) + xF[7]*(g25 + 1.0)*(g139*g159 + g156*g162 + g42)/(g33*(g25 - 1.0)) + xF[8]*(g26 + 1.0)*(g146*g159 + g153*g162 + g42)/(g33*(g26 - 1.0)) + xF[9]*(g27 + 1.0)*(g137*g159 + g154*g162 + g42)/(g33*(g27 - 1.0));
      PpF = g43;
      TpF = -g14/g3;
      SWUpF = g164;
      SWUpP = g164*g44;
      xP[0] = g126*g44*g72;
      xP[1] = g125*g44*g70;
      xP[2] = g131*g44*g73;
      xP[3] = g132*g44*g74;
      xP[4] = g128*g44*g75;
      xP[5] = g129*g44*g76;
      xP[6] = g133*g44*g77;
      xP[7] = g130*g44*g78;
      xP[8] = g134*g44*g79;
      xP[9] = g127*g44*g80;
      xP[10] = g135*g44*g81;
      xT[0] = g126*g47*g68;
      xT[1] = g125*g45*g68;
      xT[2] = g131*g48*g68;
      xT[3] = g132*g49*g68;
      xT[4] = g128*g50*g68;
      xT[5] = g129*g51*g68;
      xT[6] = g133*g52*g68;
      xT[7] = g130*g53*g68;
      xT[8] = g134*g54*g68;
      xT[9] = g127*g55*g68;
      xT[10] = g135*g56*g68;
      break;
    case 12:
      n0 = -2.00000000000000;
      n1 = MW[0] - Mstar;
      n2 = log(alpha);
      n3 = xPj - xTj;
      n4 = xF[0] - xPj;
      n5 = MW[10] - Mstar;
      n6 = MW[11] - Mstar;
      n7 = MW[1] - Mstar;
      n8 = MW[2] - Mstar;
      n9 = MW[3] - Mstar;
      n10 = MW[4] - Mstar;
      n11 = MW[5] - Mstar;
      n12 = MW[6] - Mstar;
      n13 = MW[7] - Mstar;
      n14 = MW[8] - Mstar;
      n15 = MW[9] - Mstar;
      n16 = log(xTj);
      n17 = -n1;
      n18 = -2;
      n19 = xF[0]*xPj;
      n20 = -Mstar;
      n21 = -xTj;
      n22 = -n0*xF[11];
      n23 = -xPj;
      n24 = -NP0*n0;
      n25 = -xF[0];
      n26 = pow(n1, -n0);
      n27 = pow(n2, -n0);
      n28 = pow(n5, -n0);
      n29 = pow(n6, -n0);
      n30 = pow(n7, -n0);
      n31 = pow(n8, -n0);
      n32 = pow(n9, -n0);
      n33 = pow(n10, -n0);
      n34 = pow(n11, -n0);
      n35 = pow(n12, -n0);
      n36 = pow(n13, -n0);
      n37 = pow(n14, -n0);
      n38 = pow(n15, -n0);
      n39 = Mstar*n2;
      n40 = -n0*n2;
      n41 = -n2;
      n42 = pow(alpha, NP0*n1);
      n43 = n19 + n21*xF[0];
      n44 = n19 + n21*xPj;
      n45 = pow(alpha, NP0*n5);
      n46 = pow(alpha, NP0*n6);
      n47 = pow(alpha, NP0*n7);
      n48 = pow(alpha, NP0*n8);
      n49 = pow(alpha, NP0*n9);
      n50 = pow(alpha, NP0*n10);
      n51 = pow(alpha, NP0*n11);
      n52 = pow(alpha, NP0*n12);
      n53 = pow(alpha, NP0*n13);
      n54 = pow(alpha, NP0*n14);
      n55 = pow(alpha, NP0*n15);
      n56 = MW[0]*n41;
      n57 = n3/n4;
      n58 = n11*n2;
      n59 = n2*n7;
      n60 = n13*n2;
      n61 = -n42 + 1;
      n62 = -n45 + 1;
      n63 = pow(alpha, NP0*n0*n17);
      n64 = pow(n44, -n0);
      n65 = -n46 + 1;
      n66 = -n47 + 1;
      n67 = -n48 + 1;
      n68 = -n49 + 1;
      n69 = -n50 + 1;
      n70 = -n51 + 1;
      n71 = -n52 + 1;
      n72 = -n53 + 1;
      n73 = -n54 + 1;
      n74 = -n55 + 1;
      n75 = -n71;
      n76 = -n62;
      n77 = -n69;
      n78 = -n42;
      n79 = -n46;
      n80 = -n48;
      n81 = -n51;
      n82 = -n52;
      n83 = -n55;
      n84 = n1*n27;
      n85 = 1/(n1*n2);
      n86 = n65*xF[11];
      n87 = n15*n55;
      n88 = n12*n52;
      n89 = n1*n42;
      n90 = n14*n54;
      n91 = n27*n34;
      n92 = n10*n50;
      n93 = n45*n5;
      n94 = n71*xF[6];
      n95 = n27*n36;
      n96 = n67*xF[2];
      n97 = n48*n8;
      n98 = n70*xF[5];
      n99 = n27*n30;
      n100 = n47*n7;
      n101 = n26*n27;
      n102 = n13*n53;
      n103 = n27*n38;
      n104 = n49*n9;
      n105 = log((-1.0 + xPj/xF[0])/n3);
      n106 = -n68*xF[3];
      n107 = -n74*xF[9];
      n108 = n104*xF[3];
      n109 = -n73*xF[8];
      n110 = n2*n46*n6;
      n111 = n44/n43;
      n112 = n101*n42;
      n113 = n27*n29*n46;
      n114 = n27*n31*n48;
      n115 = n27*n37*n54;
      n116 = n27*n28*n45;
      n117 = n27*n32*n49;
      n118 = n111*n78 + 1;
      n119 = n105 + n16 + n39 + n56;
      n120 = n111*n42/n118;
      n121 = n85*(n119 - log(n118)) + 1;
      n122 = pow(alpha, n1*n121);
      n123 = pow(alpha, n121*n5);
      n124 = pow(alpha, n121*n6);
      n125 = pow(alpha, n121*n7);
      n126 = pow(alpha, n121*n8);
      n127 = pow(alpha, n121*n9);
      n128 = pow(alpha, n10*n121);
      n129 = pow(alpha, n11*n121);
      n130 = pow(alpha, n12*n121);
      n131 = pow(alpha, n121*n13);
      n132 = pow(alpha, n121*n14);
      n133 = pow(alpha, n121*n15);
      n134 = n10/n128;
      n135 = n13/n131;
      n136 = n15/n133;
      n137 = n9/n127;
      n138 = n12/n130;
      n139 = n14/n132;
      n140 = n6/n124;
      n141 = n7/n125;
      n142 = n8/n126;
      n143 = -1/n122;
      n144 = n5/n123;
      n145 = n11/n129;
      n146 = n29/n124;
      n147 = pow(alpha, n121*n17) + n61 - 1;
      n148 = n62 - 1 + 1.0/n123;
      n149 = n65 - 1 + 1.0/n124;
      n150 = n66 - 1 + 1.0/n125;
      n151 = n67 - 1 + 1.0/n126;
      n152 = n68 - 1 + 1.0/n127;
      n153 = n69 - 1 + 1.0/n128;
      n154 = n70 - 1 + 1.0/n129;
      n155 = n71 - 1 + 1.0/n130;
      n156 = n72 - 1 + 1.0/n131;
      n157 = n73 - 1 + 1.0/n132;
      n158 = n74 - 1 + 1.0/n133;
      n159 = pow(n147, 3);
      n160 = pow(n148, 3);
      n161 = pow(n149, 3);
      n162 = pow(n150, 3);
      n163 = pow(n151, 3);
      n164 = pow(n152, 3);
      n165 = pow(n153, 3);
      n166 = pow(n154, 3);
      n167 = pow(n155, 3);
      n168 = pow(n156, 3);
      n169 = pow(n157, 3);
      n170 = pow(n158, 3);
      n171 = xF[0]/n147;
      n172 = xF[10]/n148;
      n173 = xF[9]/n158;
      n174 = xF[11]/n149;
      n175 = xF[2]/n151;
      n176 = xF[8]/n157;
      n177 = xF[3]/n152;
      n178 = xF[6]/n167;
      n179 = pow(n148, n18)*xF[10];
      n180 = n2/n152;
      n181 = n2*xF[4]/n153;
      n182 = -1/n161;
      n183 = pow(n147, n18)*n2;
      n184 = n2*xF[6]/n155;
      n185 = n51*xF[5]/n154;
      n186 = n47*xF[1]/n150;
      n187 = n53*xF[7]/n156;
      n188 = pow(n147, n18)*n61;
      n189 = -n66/n162;
      n190 = n61*xF[0]/n159;
      n191 = -pow(n154, n18)*n98;
      n192 = -n72*xF[7]/n168;
      n193 = -pow(n150, n18)*n66*xF[1];
      n194 = -pow(n156, n18)*n72*xF[7];
      n195 = n175*n2*n97;
      n196 = n103*n173*n55;
      n197 = n27*n33*n50*xF[4]/n153;
      n198 = n27*n35*n52*xF[6]/n155;
      n199 = n17*n171*n2*n42*n57;
      n200 = n112*n171*n57;
      n201 = n116*n172*n57;
      n202 = n113*n174*n57;
      n203 = n186*n57*n99;
      n204 = n114*n175*n57;
      n205 = n117*n177*n57;
      n206 = n197*n57;
      n207 = n185*n57*n91;
      n208 = n198*n57;
      n209 = n187*n57*n95;
      n210 = n115*n176*n57;
      n211 = n196*n57;
      n212 = 0.5*n200;
      n213 = n111/(n118*n122);
      n214 = n213 + 1;
      n215 = n214*xF[0];
      n216 = n2*n213*n89 + n2*n89;
      n217 = n120*n144*n2 + n2*n93;
      n218 = n110 + n120*n140*n2;
      n219 = n120*n59/n125 + n47*n59;
      n220 = n120*n142*n2 + n2*n97;
      n221 = n104*n2 + n120*n137*n2;
      n222 = n120*n134*n2 + n2*n92;
      n223 = n120*n58/n129 + n51*n58;
      n224 = n120*n138*n2 + n2*n88;
      n225 = n120*n60/n131 + n53*n60;
      n226 = n120*n139*n2 + n2*n90;
      n227 = n120*n136*n2 + n2*n87;
      n228 = pow(n216, -n0);
      n229 = pow(n217, -n0);
      n230 = pow(n218, -n0);
      n231 = pow(n219, -n0);
      n232 = pow(n220, -n0);
      n233 = pow(n221, -n0);
      n234 = pow(n222, -n0);
      n235 = pow(n223, -n0);
      n236 = pow(n224, -n0);
      n237 = pow(n225, -n0);
      n238 = pow(n226, -n0);
      n239 = pow(n227, -n0);
      n240 = n216*xF[0];
      n241 = n219*xF[1];
      n242 = n222*xF[4];
      n243 = n0*n120*n17*n2/n122 + n0*n17*n2*n42;
      n244 = n101*n213*n78 + n101*n78;
      n245 = n244*xF[0];
      n246 = pow(n152, n18)*n221;
      n247 = pow(n149, n18)*n218;
      n248 = pow(n158, n18)*n227;
      n249 = pow(n157, n18)*n226;
      n250 = pow(n155, n18)*n224*xF[6];
      n251 = n232/n163;
      n252 = n235/n166;
      n253 = pow(n156, n18)*n225*xF[7];
      n254 = pow(n151, n18)*n220*xF[2];
      n255 = pow(n153, n18)*n242*n77;
      n256 = n234*n69*xF[4]/n165;
      n257 = n188*n240*n57;
      n258 = n0*n17*n183*n42*n57*xF[0]*(pow(alpha, NP0*n1 + n121*n17)*n1*n111*n2/n118 + n2*n89);
      n259 = n179*n40*n57*n93*(pow(alpha, NP0*n1 - n121*n5)*n111*n2*n5/n118 + n2*n93);
      n260 = n110*pow(n149, n18)*n22*n57*(pow(alpha, NP0*n1 - n121*n6)*n111*n2*n6/n118 + n110);
      n261 = n100*pow(n150, n18)*n40*n57*xF[1]*(pow(alpha, NP0*n1 - n121*n7)*n111*n59/n118 + n47*n59);
      n262 = pow(n151, n18)*n40*n57*n97*xF[2]*(pow(alpha, NP0*n1 - n121*n8)*n111*n2*n8/n118 + n2*n97);
      n263 = n108*pow(n152, n18)*n40*n57*(pow(alpha, NP0*n1 - n121*n9)*n111*n2*n9/n118 + n104*n2);
      n264 = pow(n153, n18)*n40*n57*n92*xF[4]*(pow(alpha, NP0*n1 - n10*n121)*n10*n111*n2/n118 + n2*n92);
      n265 = n11*pow(n154, n18)*n40*n51*n57*xF[5]*(pow(alpha, NP0*n1 - n11*n121)*n111*n58/n118 + n51*n58);
      n266 = pow(n155, n18)*n40*n57*n88*xF[6]*(pow(alpha, NP0*n1 - n12*n121)*n111*n12*n2/n118 + n2*n88);
      n267 = n102*pow(n156, n18)*n40*n57*xF[7]*(pow(alpha, NP0*n1 - n121*n13)*n111*n60/n118 + n53*n60);
      n268 = pow(n157, n18)*n40*n57*n90*xF[8]*(pow(alpha, NP0*n1 - n121*n14)*n111*n14*n2/n118 + n2*n90);
      n269 = pow(n158, n18)*n40*n57*n87*xF[9]*(pow(alpha, NP0*n1 - n121*n15)*n111*n15*n2/n118 + n2*n87);
      n270 = 1.0*n183*n240*n57*n89;
      n271 = n188*n245*n57;
      n272 = 0.5*n271;
      n273 = pow(alpha, n1*n24)*pow(n118, n18)*n142*n17*n27*pow(n43, n18)*n64 + pow(alpha, n1*n24)*pow(n118, n18)*n27*n31*pow(n43, n18)*n64/n126 + n120*n142*n17*n27 + n27*n31*n80;
      n274 = pow(alpha, n1*n24)*pow(n118, n18)*n137*pow(n43, n18)*n64*n84 - pow(alpha, n1*n24)*pow(n118, n18)*n27*n32*pow(n43, n18)*n64/n127 + n117 + n120*n137*n84;
      n275 = pow(alpha, n1*n24)*pow(n118, n18)*n134*pow(n43, n18)*n64*n84 - pow(alpha, n1*n24)*pow(n118, n18)*n27*n33*pow(n43, n18)*n64/n128 + n120*n134*n84 + n27*n33*n50;
      n276 = pow(alpha, n1*n24)*pow(n118, n18)*n138*n17*n27*pow(n43, n18)*n64 + pow(alpha, n1*n24)*pow(n118, n18)*n27*n35*pow(n43, n18)*n64/n130 + n120*n138*n17*n27 + n27*n35*n82;
      n277 = pow(alpha, n1*n24)*pow(n118, n18)*n139*pow(n43, n18)*n64*n84 - pow(alpha, n1*n24)*pow(n118, n18)*n27*n37*pow(n43, n18)*n64/n132 + n115 + n120*n139*n84;
      n278 = -pow(alpha, n1*n24)*n103*pow(n118, n18)*pow(n43, n18)*n64/n133 + pow(alpha, n1*n24)*pow(n118, n18)*n136*pow(n43, n18)*n64*n84 + n103*n55 + n120*n136*n84;
      n279 = pow(n151, n18)*n57*n96*(pow(alpha, n1*n24 - n121*n8)*pow(n118, n18)*n17*n27*pow(n43, n18)*n64*n8 + pow(alpha, n1*n24 - n121*n8)*pow(n118, n18)*n27*n31*pow(n43, n18)*n64 + n120*n142*n17*n27 + n27*n31*n80);
      n280 = pow(n155, n18)*n57*n94*(pow(alpha, n1*n24 - n12*n121)*pow(n118, n18)*n12*n17*n27*pow(n43, n18)*n64 + pow(alpha, n1*n24 - n12*n121)*pow(n118, n18)*n27*n35*pow(n43, n18)*n64 + n120*n138*n17*n27 + n27*n35*n82);
      n281 = n179*n57*n76*(-pow(alpha, n1*n24 - n121*n5)*pow(n118, n18)*n27*n28*pow(n43, n18)*n64 + pow(alpha, n1*n24 - n121*n5)*pow(n118, n18)*pow(n43, n18)*n5*n64*n84 + n116 + n120*n144*n84);
      n282 = n193*n57*(pow(alpha, n1*n24 - n121*n7)*pow(n118, n18)*pow(n43, n18)*n64*n7*n84 - pow(alpha, n1*n24 - n121*n7)*pow(n118, n18)*pow(n43, n18)*n64*n99 + n120*n141*n84 + n47*n99);
      n283 = n106*pow(n152, n18)*n57*(-pow(alpha, n1*n24 - n121*n9)*pow(n118, n18)*n27*n32*pow(n43, n18)*n64 + pow(alpha, n1*n24 - n121*n9)*pow(n118, n18)*pow(n43, n18)*n64*n84*n9 + n117 + n120*n137*n84);
      n284 = pow(n153, n18)*n57*n77*xF[4]*(pow(alpha, n1*n24 - n10*n121)*n10*pow(n118, n18)*pow(n43, n18)*n64*n84 - pow(alpha, n1*n24 - n10*n121)*pow(n118, n18)*n27*n33*pow(n43, n18)*n64 + n120*n134*n84 + n27*n33*n50);
      n285 = n191*n57*(pow(alpha, n1*n24 - n11*n121)*n11*pow(n118, n18)*pow(n43, n18)*n64*n84 - pow(alpha, n1*n24 - n11*n121)*pow(n118, n18)*pow(n43, n18)*n64*n91 + n120*n145*n84 + n51*n91);
      n286 = n194*n57*(pow(alpha, n1*n24 - n121*n13)*pow(n118, n18)*n13*pow(n43, n18)*n64*n84 - pow(alpha, n1*n24 - n121*n13)*pow(n118, n18)*pow(n43, n18)*n64*n95 + n120*n135*n84 + n53*n95);
      n287 = n109*pow(n157, n18)*n57*(pow(alpha, n1*n24 - n121*n14)*pow(n118, n18)*n14*pow(n43, n18)*n64*n84 - pow(alpha, n1*n24 - n121*n14)*pow(n118, n18)*n27*n37*pow(n43, n18)*n64 + n115 + n120*n139*n84);
      n288 = n212 + n270 + n272;
      n289 = xTj*(n106*n246*n57 + n107*n248*n57 + n108*n180*n57 + n109*n249*n57 + n110*n174*n57 - pow(n151, n18)*n220*n57*n96 + n171*n2*n57*n89 + n172*n2*n57*n93 + n173*n2*n57*n87 + n176*n2*n57*n90 + n179*n217*n57*n76 + n181*n57*n92 + n184*n57*n88 + n185*n57*n58 + n186*n57*n59 + n187*n57*n60 + n188*n25*n57*(pow(alpha, NP0*n1 - n1*n121)*n1*n111*n2/n118 + n2*n89) + n191*n223*n57 + n193*n219*n57 + n194*n225*n57 + n195*n57 - n247*n57*n86 + n250*n57*n75 + n255*n57);
      n290 = n199 + n257 + n289;
      n291 = n200 + n201 + n202 + n203 + n204 + n205 + n206 + n207 + n208 + n209 + n210 + n211 + n258 + n259 + n260 + n261 + n262 + n263 + n264 + n265 + n266 + n267 + n268 + n269 + n271 + n279 + n280 + n281 + n282 + n283 + n284 + n285 + n286 + n287;
      n292 = n106*n221*n57*(n104*n40 + n120*n137*n40)/n164 + n107*pow(n158, n18)*n57*(-pow(alpha, n1*n24 - n121*n15)*n103*pow(n118, n18)*pow(n43, n18)*n64 + pow(alpha, n1*n24 - n121*n15)*pow(n118, n18)*n15*pow(n43, n18)*n64*n84 + n103*n55 + n120*n136*n84) + n107*n227*n57*(n120*n136*n40 + n40*n87)/n170 + n109*n226*n57*(n120*n139*n40 + n40*n90)/n169 - pow(n149, n18)*n57*n86*(-pow(alpha, n1*n24 - n121*n6)*pow(n118, n18)*n27*n29*pow(n43, n18)*n64 + pow(alpha, n1*n24 - n121*n6)*pow(n118, n18)*pow(n43, n18)*n6*n64*n84 + n113 + n120*n140*n84) + n178*n224*n57*n75*(n120*n138*n40 + n40*n88) + n182*n218*n57*n86*(n120*n140*n40 + n40*n46*n6) + n189*n241*n57*(n100*n40 + n120*n141*n40) + n192*n225*n57*(n102*n40 + n120*n135*n40) + n291 - n223*n57*n98*(n11*n40*n51 + n120*n145*n40)/n166 + n242*n57*n77*(n120*n134*n40 + n40*n92)/n165 - n220*n57*n96*(n120*n142*n40 + n40*n97)/n163 + n217*n57*n76*xF[10]*(n120*n144*n40 + n40*n93)/n160 + n25*n57*n61*(pow(alpha, NP0*n1 - n1*n121)*n1*n111*n2/n118 + n2*n89)*(pow(alpha, NP0*n1 - n1*n121)*n0*n111*n17*n2/n118 + n0*n17*n2*n42)/n159;
      NP_b = -n183*n215*n57*n61*n89 - n199 - n24*(1.0*n183*n57*n89*xF[0]*(pow(alpha, NP0*n1 - n1*n121)*n1*n111*n2/n118 + n2*n89) + 0.5*n188*n57*xF[0]*(-pow(alpha, NP0*n1 - n1*n121)*n101*n111/n118 + n101*n78) - 1.0*n190*n228*n57 + n212 - 0.5*xTj*(n106*pow(n152, n18)*n57*(pow(alpha, NP0*n1 - n121*n9)*n111*n84*n9/n118 - pow(alpha, n1*n24 - n121*n9)*pow(n118, n18)*n27*n32*pow(n43, n18)*n64 + pow(alpha, n1*n24 - n121*n9)*pow(n118, n18)*pow(n43, n18)*n64*n84*n9 + n117) + n109*pow(n157, n18)*n57*(pow(alpha, NP0*n1 - n121*n14)*n111*n14*n84/n118 + pow(alpha, n1*n24 - n121*n14)*pow(n118, n18)*n14*pow(n43, n18)*n64*n84 - pow(alpha, n1*n24 - n121*n14)*pow(n118, n18)*n27*n37*pow(n43, n18)*n64 + n115) + pow(n149, n18)*n57*n86*(pow(alpha, NP0*n1 - n121*n6)*n111*n17*n27*n6/n118 + pow(alpha, n1*n24 - n121*n6)*pow(n118, n18)*n17*n27*pow(n43, n18)*n6*n64 + pow(alpha, n1*n24 - n121*n6)*pow(n118, n18)*n27*n29*pow(n43, n18)*n64 + n27*n29*n79) + pow(n151, n18)*n57*n96*(pow(alpha, NP0*n1 - n121*n8)*n111*n17*n27*n8/n118 + pow(alpha, n1*n24 - n121*n8)*pow(n118, n18)*n17*n27*pow(n43, n18)*n64*n8 + pow(alpha, n1*n24 - n121*n8)*pow(n118, n18)*n27*n31*pow(n43, n18)*n64 + n27*n31*n80) + pow(n153, n18)*n57*n77*xF[4]*(pow(alpha, NP0*n1 - n10*n121)*n10*n111*n84/n118 + pow(alpha, n1*n24 - n10*n121)*n10*pow(n118, n18)*pow(n43, n18)*n64*n84 - pow(alpha, n1*n24 - n10*n121)*pow(n118, n18)*n27*n33*pow(n43, n18)*n64 + n27*n33*n50) + pow(n155, n18)*n57*n94*(pow(alpha, NP0*n1 - n12*n121)*n111*n12*n17*n27/n118 + pow(alpha, n1*n24 - n12*n121)*pow(n118, n18)*n12*n17*n27*pow(n43, n18)*n64 + pow(alpha, n1*n24 - n12*n121)*pow(n118, n18)*n27*n35*pow(n43, n18)*n64 + n27*n35*n82) + pow(n158, n18)*n57*n74*xF[9]*(pow(alpha, NP0*n1 - n121*n15)*n111*n15*n17*n27/n118 + pow(alpha, n1*n24 - n121*n15)*n103*pow(n118, n18)*pow(n43, n18)*n64 + pow(alpha, n1*n24 - n121*n15)*pow(n118, n18)*n15*n17*n27*pow(n43, n18)*n64 + n103*n83) + n179*n57*n76*(pow(alpha, NP0*n1 - n121*n5)*n111*n5*n84/n118 - pow(alpha, n1*n24 - n121*n5)*pow(n118, n18)*n27*n28*pow(n43, n18)*n64 + pow(alpha, n1*n24 - n121*n5)*pow(n118, n18)*pow(n43, n18)*n5*n64*n84 + n116) + n18*n190*n228*n57 + n18*n251*n57*n96 + n18*n252*n57*n98 + n18*n256*n57 + n188*n57*xF[0]*(-pow(alpha, NP0*n1 - n1*n121)*n101*n111/n118 + n101*n78) + n191*n57*(pow(alpha, NP0*n1 - n11*n121)*n11*n111*n84/n118 + pow(alpha, n1*n24 - n11*n121)*n11*pow(n118, n18)*pow(n43, n18)*n64*n84 - pow(alpha, n1*n24 - n11*n121)*pow(n118, n18)*pow(n43, n18)*n64*n91 + n51*n91) + n193*n57*(pow(alpha, NP0*n1 - n121*n7)*n111*n7*n84/n118 + pow(alpha, n1*n24 - n121*n7)*pow(n118, n18)*pow(n43, n18)*n64*n7*n84 - pow(alpha, n1*n24 - n121*n7)*pow(n118, n18)*pow(n43, n18)*n64*n99 + n47*n99) + n194*n57*(pow(alpha, NP0*n1 - n121*n13)*n111*n13*n84/n118 + pow(alpha, n1*n24 - n121*n13)*pow(n118, n18)*n13*pow(n43, n18)*n64*n84 - pow(alpha, n1*n24 - n121*n13)*pow(n118, n18)*pow(n43, n18)*n64*n95 + n53*n95) + n200 + n201 + n202 + n203 + n204 + n205 + n206 + n207 + n208 + n209 + n210 + n211 + n258 + n259 + n260 + n261 + n262 + n263 + n264 + n265 + n266 + n267 + n268 + n269 + n18*n239*n57*n74*xF[9]/n170 + n18*n238*n57*n73*xF[8]/n169 + n18*n237*n57*n72*xF[7]/n168 + n18*n236*n57*n94/n167 + n18*n233*n57*n68*xF[3]/n164 + n18*n231*n57*n66*xF[1]/n162 + n18*n230*n57*n86/n161 + n18*n229*n57*n62*xF[10]/n160)) - n57*xTj*(n106*n246 + n107*n248 + n108*n180 + n109*n249 + n110*n174 - pow(n151, n18)*n220*n96 + n171*n2*n89 + n172*n2*n93 + n173*n2*n87 + n176*n2*n90 + n179*n217*n76 + n181*n92 + n184*n88 + n185*n58 + n186*n59 + n187*n60 + n188*n25*(pow(alpha, NP0*n1 - n1*n121)*n1*n111*n2/n118 + n2*n89) + n191*n223 + n193*n219 + n194*n225 + n195 - n247*n86 + n250*n75 + n255);
      NP_2a = -n57*(pow(alpha, n1*n24)*n0*n101*pow(n147, n18)*n215 + pow(alpha, n1*n24)*n0*n101*pow(n214, -n0)*n25*n61/n159 - 1.0*n112*n171 + n112*n188*n25*(-1 + (-n19 + xPj*xTj)/(n118*n122*n43)) + 1.0*xTj*(n0*n17*n183*n42*xF[0]*(pow(alpha, NP0*n1 + n121*n17)*n1*n111*n2/n118 + n2*n89) + n100*pow(n150, n18)*n40*xF[1]*(pow(alpha, NP0*n1 - n121*n7)*n111*n59/n118 + n47*n59) + n102*pow(n156, n18)*n40*xF[7]*(pow(alpha, NP0*n1 - n121*n13)*n111*n60/n118 + n53*n60) + n106*pow(n152, n18)*(-pow(alpha, n1*n24 - n121*n9)*pow(n118, n18)*n27*n32*pow(n43, n18)*n64 + pow(alpha, n1*n24 - n121*n9)*pow(n118, n18)*pow(n43, n18)*n64*n84*n9 + n117 + n120*n137*n84) + n107*pow(n158, n18)*(-pow(alpha, n1*n24 - n121*n15)*n103*pow(n118, n18)*pow(n43, n18)*n64 + pow(alpha, n1*n24 - n121*n15)*pow(n118, n18)*n15*pow(n43, n18)*n64*n84 + n103*n55 + n120*n136*n84) + n108*pow(n152, n18)*n40*(pow(alpha, NP0*n1 - n121*n9)*n111*n2*n9/n118 + n104*n2) + n109*pow(n157, n18)*(pow(alpha, n1*n24 - n121*n14)*pow(n118, n18)*n14*pow(n43, n18)*n64*n84 - pow(alpha, n1*n24 - n121*n14)*pow(n118, n18)*n27*n37*pow(n43, n18)*n64 + n115 + n120*n139*n84) + n11*pow(n154, n18)*n40*n51*xF[5]*(pow(alpha, NP0*n1 - n11*n121)*n111*n58/n118 + n51*n58) + n110*pow(n149, n18)*n22*(pow(alpha, NP0*n1 - n121*n6)*n111*n2*n6/n118 + n110) + n112*n171 + n113*n174 + n114*n175 + n115*n176 + n116*n172 + n117*n177 - pow(n149, n18)*n86*(-pow(alpha, n1*n24 - n121*n6)*pow(n118, n18)*n27*n29*pow(n43, n18)*n64 + pow(alpha, n1*n24 - n121*n6)*pow(n118, n18)*pow(n43, n18)*n6*n64*n84 + n113 + n120*n140*n84) + pow(n151, n18)*n40*n97*xF[2]*(pow(alpha, NP0*n1 - n121*n8)*n111*n2*n8/n118 + n2*n97) + pow(n151, n18)*n96*(pow(alpha, n1*n24 - n121*n8)*pow(n118, n18)*n17*n27*pow(n43, n18)*n64*n8 + pow(alpha, n1*n24 - n121*n8)*pow(n118, n18)*n27*n31*pow(n43, n18)*n64 + n120*n142*n17*n27 + n27*n31*n80) + pow(n153, n18)*n40*n92*xF[4]*(pow(alpha, NP0*n1 - n10*n121)*n10*n111*n2/n118 + n2*n92) + pow(n153, n18)*n77*xF[4]*(pow(alpha, n1*n24 - n10*n121)*n10*pow(n118, n18)*pow(n43, n18)*n64*n84 - pow(alpha, n1*n24 - n10*n121)*pow(n118, n18)*n27*n33*pow(n43, n18)*n64 + n120*n134*n84 + n27*n33*n50) + pow(n155, n18)*n40*n88*xF[6]*(pow(alpha, NP0*n1 - n12*n121)*n111*n12*n2/n118 + n2*n88) + pow(n155, n18)*n94*(pow(alpha, n1*n24 - n12*n121)*pow(n118, n18)*n12*n17*n27*pow(n43, n18)*n64 + pow(alpha, n1*n24 - n12*n121)*pow(n118, n18)*n27*n35*pow(n43, n18)*n64 + n120*n138*n17*n27 + n27*n35*n82) + pow(n157, n18)*n40*n90*xF[8]*(pow(alpha, NP0*n1 - n121*n14)*n111*n14*n2/n118 + n2*n90) + pow(n158, n18)*n40*n87*xF[9]*(pow(alpha, NP0*n1 - n121*n15)*n111*n15*n2/n118 + n2*n87) + n179*n40*n93*(pow(alpha, NP0*n1 - n121*n5)*n111*n2*n5/n118 + n2*n93) + n179*n76*(-pow(alpha, n1*n24 - n121*n5)*pow(n118, n18)*n27*n28*pow(n43, n18)*n64 + pow(alpha, n1*n24 - n121*n5)*pow(n118, n18)*pow(n43, n18)*n5*n64*n84 + n116 + n120*n144*n84) + n18*n190*n228 + n18*n251*n96 + n18*n252*n98 + n18*n256 + n185*n91 + n186*n99 + n187*n95 + n188*n245 + n191*(pow(alpha, n1*n24 - n11*n121)*n11*pow(n118, n18)*pow(n43, n18)*n64*n84 - pow(alpha, n1*n24 - n11*n121)*pow(n118, n18)*pow(n43, n18)*n64*n91 + n120*n145*n84 + n51*n91) + n193*(pow(alpha, n1*n24 - n121*n7)*pow(n118, n18)*pow(n43, n18)*n64*n7*n84 - pow(alpha, n1*n24 - n121*n7)*pow(n118, n18)*pow(n43, n18)*n64*n99 + n120*n141*n84 + n47*n99) + n194*(pow(alpha, n1*n24 - n121*n13)*pow(n118, n18)*n13*pow(n43, n18)*n64*n84 - pow(alpha, n1*n24 - n121*n13)*pow(n118, n18)*pow(n43, n18)*n64*n95 + n120*n135*n84 + n53*n95) + n196 + n197 + n198 + n18*n239*n74*xF[9]/n170 + n18*n238*n73*xF[8]/n169 + n18*n237*n72*xF[7]/n168 + n18*n236*n94/n167 + n18*n233*n68*xF[3]/n164 + n18*n231*n66*xF[1]/n162 + n18*n230*n86/n161 + n18*n229*n62*xF[10]/n160));
      NP_sqrt_base = (-NP0*n290 - n21*(-n57*n61*xF[0]/(pow(alpha, n17*(n85*(n119 - log(n78*(n19 + n23*xTj)/(n19 + n25*xTj) + 1)) + 1)) + n61 - 1) - n57*n62*xF[10]/(n62 - 1 + pow(alpha, -n5*(n85*(n119 - log(n78*(n19 + n23*xTj)/(n19 + n25*xTj) + 1)) + 1))) - n57*n66*xF[1]/(n66 - 1 + pow(alpha, -n7*(n85*(n119 - log(n78*(n19 + n23*xTj)/(n19 + n25*xTj) + 1)) + 1))) - n57*n68*xF[3]/(n68 - 1 + pow(alpha, -n9*(n85*(n119 - log(n78*(n19 + n23*xTj)/(n19 + n25*xTj) + 1)) + 1))) - n57*n69*xF[4]/(n69 - 1 + pow(alpha, -n10*(n85*(n119 - log(n78*(n19 + n23*xTj)/(n19 + n25*xTj) + 1)) + 1))) - n57*n72*xF[7]/(n72 - 1 + pow(alpha, -n13*(n85*(n119 - log(n78*(n19 + n23*xTj)/(n19 + n25*xTj) + 1)) + 1))) - n57*n73*xF[8]/(n73 - 1 + pow(alpha, -n14*(n85*(n119 - log(n78*(n19 + n23*xTj)/(n19 + n25*xTj) + 1)) + 1))) - n57*n74*xF[9]/(n74 - 1 + pow(alpha, -n15*(n85*(n119 - log(n78*(n19 + n23*xTj)/(n19 + n25*xTj) + 1)) + 1))) - n57*n86/(n65 - 1 + pow(alpha, -n6*(n85*(n119 - log(n78*(n19 + n23*xTj)/(n19 + n25*xTj) + 1)) + 1))) - n57*n94/(n71 - 1 + pow(alpha, -n12*(n85*(n119 - log(n78*(n19 + n23*xTj)/(n19 + n25*xTj) + 1)) + 1))) - n57*n96/(n67 - 1 + pow(alpha, -n8*(n85*(n119 - log(n78*(n19 + n23*xTj)/(n19 + n25*xTj) + 1)) + 1))) - n57*n98/(n70 - 1 + pow(alpha, -n11*(n85*(n119 - log(n78*(n19 + n23*xTj)/(n19 + n25*xTj) + 1)) + 1)))) - n25*n57*n61/(-n143 + n61 - 1) - pow(NP0, -n0)*(1.0*n183*n240*n57*n89 - 0.5*n190*n216*n243*n57 + 0.5*n200 + 0.5*n271 - 0.5*n292*xTj))*(-n0*n200 - n0*n21*(n106*pow(n152, n18)*n57*(pow(alpha, NP0*n1 - n121*n9)*n111*n84*n9/n118 - pow(alpha, n1*n24 - n121*n9)*pow(n118, n18)*n27*n32*pow(n43, n18)*n64 + pow(alpha, n1*n24 - n121*n9)*pow(n118, n18)*pow(n43, n18)*n64*n84*n9 + n117) + n106*n57*(pow(alpha, NP0*n1 - n121*n9)*n111*n2*n9/n118 + n104*n2)*(pow(alpha, NP0*n1 - n121*n9)*n111*n40*n9/n118 + n104*n40)/n164 + n107*pow(n158, n18)*n57*(pow(alpha, NP0*n1 - n121*n15)*n111*n15*n84/n118 - pow(alpha, n1*n24 - n121*n15)*n103*pow(n118, n18)*pow(n43, n18)*n64 + pow(alpha, n1*n24 - n121*n15)*pow(n118, n18)*n15*pow(n43, n18)*n64*n84 + n103*n55) + n107*n57*(pow(alpha, NP0*n1 - n121*n15)*n111*n15*n2/n118 + n2*n87)*(pow(alpha, NP0*n1 - n121*n15)*n111*n15*n40/n118 + n40*n87)/n170 + n109*pow(n157, n18)*n57*(pow(alpha, NP0*n1 - n121*n14)*n111*n14*n84/n118 + pow(alpha, n1*n24 - n121*n14)*pow(n118, n18)*n14*pow(n43, n18)*n64*n84 - pow(alpha, n1*n24 - n121*n14)*pow(n118, n18)*n27*n37*pow(n43, n18)*n64 + n115) + n109*n57*(pow(alpha, NP0*n1 - n121*n14)*n111*n14*n2/n118 + n2*n90)*(pow(alpha, NP0*n1 - n121*n14)*n111*n14*n40/n118 + n40*n90)/n169 - pow(n149, n18)*n57*n86*(pow(alpha, NP0*n1 - n121*n6)*n111*n6*n84/n118 - pow(alpha, n1*n24 - n121*n6)*pow(n118, n18)*n27*n29*pow(n43, n18)*n64 + pow(alpha, n1*n24 - n121*n6)*pow(n118, n18)*pow(n43, n18)*n6*n64*n84 + n113) + pow(n151, n18)*n57*n96*(pow(alpha, NP0*n1 - n121*n8)*n111*n17*n27*n8/n118 + pow(alpha, n1*n24 - n121*n8)*pow(n118, n18)*n17*n27*pow(n43, n18)*n64*n8 + pow(alpha, n1*n24 - n121*n8)*pow(n118, n18)*n27*n31*pow(n43, n18)*n64 + n27*n31*n80) + pow(n153, n18)*n57*n77*xF[4]*(pow(alpha, NP0*n1 - n10*n121)*n10*n111*n84/n118 + pow(alpha, n1*n24 - n10*n121)*n10*pow(n118, n18)*pow(n43, n18)*n64*n84 - pow(alpha, n1*n24 - n10*n121)*pow(n118, n18)*n27*n33*pow(n43, n18)*n64 + n27*n33*n50) + pow(n155, n18)*n57*n94*(pow(alpha, NP0*n1 - n12*n121)*n111*n12*n17*n27/n118 + pow(alpha, n1*n24 - n12*n121)*pow(n118, n18)*n12*n17*n27*pow(n43, n18)*n64 + pow(alpha, n1*n24 - n12*n121)*pow(n118, n18)*n27*n35*pow(n43, n18)*n64 + n27*n35*n82) + n178*n57*n75*(pow(alpha, NP0*n1 - n12*n121)*n111*n12*n2/n118 + n2*n88)*(pow(alpha, NP0*n1 - n12*n121)*n111*n12*n40/n118 + n40*n88) + n179*n57*n76*(pow(alpha, NP0*n1 - n121*n5)*n111*n5*n84/n118 - pow(alpha, n1*n24 - n121*n5)*pow(n118, n18)*n27*n28*pow(n43, n18)*n64 + pow(alpha, n1*n24 - n121*n5)*pow(n118, n18)*pow(n43, n18)*n5*n64*n84 + n116) + n182*n57*n86*(pow(alpha, NP0*n1 - n121*n6)*n111*n2*n6/n118 + n110)*(pow(alpha, NP0*n1 - n121*n6)*n111*n40*n6/n118 + n40*n46*n6) + n188*n57*xF[0]*(pow(alpha, NP0*n1 - n1*n121)*n101*(-n19 + xPj*xTj)/(n118*n43) + n101*n78) + n189*n57*xF[1]*(pow(alpha, NP0*n1 - n121*n7)*n111*n59/n118 + n47*n59)*(pow(alpha, NP0*n1 - n121*n7)*n111*n40*n7/n118 + n100*n40) + n191*n57*(pow(alpha, NP0*n1 - n11*n121)*n11*n111*n84/n118 + pow(alpha, n1*n24 - n11*n121)*n11*pow(n118, n18)*pow(n43, n18)*n64*n84 - pow(alpha, n1*n24 - n11*n121)*pow(n118, n18)*pow(n43, n18)*n64*n91 + n51*n91) + n192*n57*(pow(alpha, NP0*n1 - n121*n13)*n111*n60/n118 + n53*n60)*(pow(alpha, NP0*n1 - n121*n13)*n111*n13*n40/n118 + n102*n40) + n193*n57*(pow(alpha, NP0*n1 - n121*n7)*n111*n7*n84/n118 + pow(alpha, n1*n24 - n121*n7)*pow(n118, n18)*pow(n43, n18)*n64*n7*n84 - pow(alpha, n1*n24 - n121*n7)*pow(n118, n18)*pow(n43, n18)*n64*n99 + n47*n99) + n194*n57*(pow(alpha, NP0*n1 - n121*n13)*n111*n13*n84/n118 + pow(alpha, n1*n24 - n121*n13)*pow(n118, n18)*n13*pow(n43, n18)*n64*n84 - pow(alpha, n1*n24 - n121*n13)*pow(n118, n18)*pow(n43, n18)*n64*n95 + n53*n95) + n200 + n201 + n202 + n203 + n204 + n205 + n206 + n207 + n208 + n209 + n210 + n211 + n258 + n259 + n260 + n261 + n262 + n263 + n264 + n265 + n266 + n267 + n268 + n269 - n57*n98*(pow(alpha, NP0*n1 - n11*n121)*n111*n58/n118 + n51*n58)*(pow(alpha, NP0*n1 - n11*n121)*n11*n111*n40/n118 + n11*n40*n51)/n166 + n57*n77*xF[4]*(pow(alpha, NP0*n1 - n10*n121)*n10*n111*n2/n118 + n2*n92)*(pow(alpha, NP0*n1 - n10*n121)*n10*n111*n40/n118 + n40*n92)/n165 - n57*n96*(pow(alpha, NP0*n1 - n121*n8)*n111*n2*n8/n118 + n2*n97)*(pow(alpha, NP0*n1 - n121*n8)*n111*n40*n8/n118 + n40*n97)/n163 + n57*n76*xF[10]*(pow(alpha, NP0*n1 - n121*n5)*n111*n2*n5/n118 + n2*n93)*(pow(alpha, NP0*n1 - n121*n5)*n111*n40*n5/n118 + n40*n93)/n160 + n25*n57*n61*(pow(alpha, NP0*n1 - n1*n121)*n1*n111*n2/n118 + n2*n89)*(pow(alpha, NP0*n1 - n1*n121)*n0*n111*n17*n2/n118 + n0*n17*n2*n42)/n159) - n0*n271 + 4.0*n183*n240*n57*n89 - 4.0*n190*n228*n57) + pow(-n24*(1.0*n183*n57*n89*xF[0]*(pow(alpha, NP0*n1 - n1*n121)*n1*n111*n2/n118 + n2*n89) + 0.5*n188*n57*xF[0]*(-pow(alpha, NP0*n1 - n1*n121)*n101*n111/n118 + n101*n78) - 0.5*n190*n57*(pow(alpha, NP0*n1 - n1*n121)*n1*n111*n2/n118 + n2*n89)*(pow(alpha, NP0*n1 - n1*n121)*n0*n111*n17*n2/n118 + n0*n17*n2*n42) + n212 - 0.5*xTj*(n106*pow(n152, n18)*n57*(pow(alpha, NP0*n1 - n121*n9)*n111*n84*n9/n118 - pow(alpha, n1*n24 - n121*n9)*pow(n118, n18)*n27*n32*pow(n43, n18)*n64 + pow(alpha, n1*n24 - n121*n9)*pow(n118, n18)*pow(n43, n18)*n64*n84*n9 + n117) + n106*n57*(pow(alpha, NP0*n1 - n121*n9)*n111*n2*n9/n118 + n104*n2)*(pow(alpha, NP0*n1 - n121*n9)*n111*n40*n9/n118 + n104*n40)/n164 + n107*pow(n158, n18)*n57*(pow(alpha, NP0*n1 - n121*n15)*n111*n15*n84/n118 - pow(alpha, n1*n24 - n121*n15)*n103*pow(n118, n18)*pow(n43, n18)*n64 + pow(alpha, n1*n24 - n121*n15)*pow(n118, n18)*n15*pow(n43, n18)*n64*n84 + n103*n55) + n107*n57*(pow(alpha, NP0*n1 - n121*n15)*n111*n15*n2/n118 + n2*n87)*(pow(alpha, NP0*n1 - n121*n15)*n111*n15*n40/n118 + n40*n87)/n170 + n109*pow(n157, n18)*n57*(pow(alpha, NP0*n1 - n121*n14)*n111*n14*n84/n118 + pow(alpha, n1*n24 - n121*n14)*pow(n118, n18)*n14*pow(n43, n18)*n64*n84 - pow(alpha, n1*n24 - n121*n14)*pow(n118, n18)*n27*n37*pow(n43, n18)*n64 + n115) + n109*n57*(pow(alpha, NP0*n1 - n121*n14)*n111*n14*n2/n118 + n2*n90)*(pow(alpha, NP0*n1 - n121*n14)*n111*n14*n40/n118 + n40*n90)/n169 - pow(n149, n18)*n57*n86*(pow(alpha, NP0*n1 - n121*n6)*n111*n6*n84/n118 - pow(alpha, n1*n24 - n121*n6)*pow(n118, n18)*n27*n29*pow(n43, n18)*n64 + pow(alpha, n1*n24 - n121*n6)*pow(n118, n18)*pow(n43, n18)*n6*n64*n84 + n113) + pow(n151, n18)*n57*n96*(pow(alpha, NP0*n1 - n121*n8)*n111*n17*n27*n8/n118 + pow(alpha, n1*n24 - n121*n8)*pow(n118, n18)*n17*n27*pow(n43, n18)*n64*n8 + pow(alpha, n1*n24 - n121*n8)*pow(n118, n18)*n27*n31*pow(n43, n18)*n64 + n27*n31*n80) + pow(n153, n18)*n57*n77*xF[4]*(pow(alpha, NP0*n1 - n10*n121)*n10*n111*n84/n118 + pow(alpha, n1*n24 - n10*n121)*n10*pow(n118, n18)*pow(n43, n18)*n64*n84 - pow(alpha, n1*n24 - n10*n121)*pow(n118, n18)*n27*n33*pow(n43, n18)*n64 + n27*n33*n50) + pow(n155, n18)*n57*n94*(pow(alpha, NP0*n1 - n12*n121)*n111*n12*n17*n27/n118 + pow(alpha, n1*n24 - n12*n121)*pow(n118, n18)*n12*n17*n27*pow(n43, n18)*n64 + pow(alpha, n1*n24 - n12*n121)*pow(n118, n18)*n27*n35*pow(n43, n18)*n64 + n27*n35*n82) + n178*n57*n75*(pow(alpha, NP0*n1 - n12*n121)*n111*n12*n2/n118 + n2*n88)*(pow(alpha, NP0*n1 - n12*n121)*n111*n12*n40/n118 + n40*n88) + n179*n57*n76*(pow(alpha, NP0*n1 - n121*n5)*n111*n5*n84/n118 - pow(alpha, n1*n24 - n121*n5)*pow(n118, n18)*n27*n28*pow(n43, n18)*n64 + pow(alpha, n1*n24 - n121*n5)*pow(n118, n18)*pow(n43, n18)*n5*n64*n84 + n116) + n182*n57*n86*(pow(alpha, NP0*n1 - n121*n6)*n111*n2*n6/n118 + n110)*(pow(alpha, NP0*n1 - n121*n6)*n111*n40*n6/n118 + n40*n46*n6) + n188*n57*xF[0]*(-pow(alpha, NP0*n1 - n1*n121)*n101*n111/n118 + n101*n78) + n189*n57*xF[1]*(pow(alpha, NP0*n1 - n121*n7)*n111*n59/n118 + n47*n59)*(pow(alpha, NP0*n1 - n121*n7)*n111*n40*n7/n118 + n100*n40) + n191*n57*(pow(alpha, NP0*n1 - n11*n121)*n11*n111*n84/n118 + pow(alpha, n1*n24 - n11*n121)*n11*pow(n118, n18)*pow(n43, n18)*n64*n84 - pow(alpha, n1*n24 - n11*n121)*pow(n118, n18)*pow(n43, n18)*n64*n91 + n51*n91) + n192*n57*(pow(alpha, NP0*n1 - n121*n13)*n111*n60/n118 + n53*n60)*(pow(alpha, NP0*n1 - n121*n13)*n111*n13*n40/n118 + n102*n40) + n193*n57*(pow(alpha, NP0*n1 - n121*n7)*n111*n7*n84/n118 + pow(alpha, n1*n24 - n121*n7)*pow(n118, n18)*pow(n43, n18)*n64*n7*n84 - pow(alpha, n1*n24 - n121*n7)*pow(n118, n18)*pow(n43, n18)*n64*n99 + n47*n99) + n194*n57*(pow(alpha, NP0*n1 - n121*n13)*n111*n13*n84/n118 + pow(alpha, n1*n24 - n121*n13)*pow(n118, n18)*n13*pow(n43, n18)*n64*n84 - pow(alpha, n1*n24 - n121*n13)*pow(n118, n18)*pow(n43, n18)*n64*n95 + n53*n95) + n200 + n201 + n202 + n203 + n204 + n205 + n206 + n207 + n208 + n209 + n210 + n211 + n258 + n259 + n260 + n261 + n262 + n263 + n264 + n265 + n266 + n267 + n268 + n269 - n57*n98*(pow(alpha, NP0*n1 - n11*n121)*n111*n58/n118 + n51*n58)*(pow(alpha, NP0*n1 - n11*n121)*n11*n111*n40/n118 + n11*n40*n51)/n166 + n57*n77*xF[4]*(pow(alpha, NP0*n1 - n10*n121)*n10*n111*n2/n118 + n2*n92)*(pow(alpha, NP0*n1 - n10*n121)*n10*n111*n40/n118 + n40*n92)/n165 - n57*n96*(pow(alpha, NP0*n1 - n121*n8)*n111*n2*n8/n118 + n2*n97)*(pow(alpha, NP0*n1 - n121*n8)*n111*n40*n8/n118 + n40*n97)/n163 + n57*n76*xF[10]*(pow(alpha, NP0*n1 - n121*n5)*n111*n2*n5/n118 + n2*n93)*(pow(alpha, NP0*n1 - n121*n5)*n111*n40*n5/n118 + n40*n93)/n160 + n25*n57*n61*(pow(alpha, NP0*n1 - n1*n121)*n1*n111*n2/n118 + n2*n89)*(pow(alpha, NP0*n1 - n1*n121)*n0*n111*n17*n2/n118 + n0*n17*n2*n42)/n159)) - n290, -n0);
      NP_sqrt_base = fabs(NP_sqrt_base);
      NP1 = (-NP_b - sqrt(NP_sqrt_base))/NP_2a;
      NT1 = n85*(n119 - log(-pow(alpha, NP1*n1)*n111 + 1));
      g0 = MW[1] - Mstar;
      g1 = MW[0] - Mstar;
      g2 = NT1 + 1;
      g3 = xPj - xTj;
      g4 = MW[10] - Mstar;
      g5 = MW[11] - Mstar;
      g6 = MW[2] - Mstar;
      g7 = MW[3] - Mstar;
      g8 = MW[4] - Mstar;
      g9 = MW[5] - Mstar;
      g10 = MW[6] - Mstar;
      g11 = MW[7] - Mstar;
      g12 = MW[8] - Mstar;
      g13 = MW[9] - Mstar;
      g14 = xF[0] - xTj;
      g15 = xF[0] - xPj;
      g16 = -xTj;
      g17 = 1.0*xF[4];
      g18 = xPj/xF[1];
      g19 = pow(alpha, -g1);
      g20 = pow(alpha, -g4);
      g21 = pow(alpha, -g5);
      g22 = pow(alpha, -g0);
      g23 = pow(alpha, -g6);
      g24 = pow(alpha, -g7);
      g25 = pow(alpha, -g8);
      g26 = pow(alpha, -g9);
      g27 = pow(alpha, -g10);
      g28 = pow(alpha, -g11);
      g29 = pow(alpha, -g12);
      g30 = pow(alpha, -g13);
      g31 = log(xF[0]/xF[1]);
      g32 = -g2;
      g33 = pow(alpha, NP1*g0);
      g34 = pow(alpha, NP1*g1);
      g35 = pow(alpha, NP1*g4);
      g36 = log(g19);
      g37 = pow(alpha, NP1*g5);
      g38 = pow(alpha, NP1*g6);
      g39 = pow(alpha, NP1*g7);
      g40 = pow(alpha, NP1*g8);
      g41 = pow(alpha, NP1*g9);
      g42 = pow(alpha, NP1*g10);
      g43 = pow(alpha, NP1*g11);
      g44 = pow(alpha, NP1*g12);
      g45 = pow(alpha, NP1*g13);
      g46 = -g31;
      g47 = g14/g3;
      g48 = g3/g14;
      g49 = -g33 + 1;
      g50 = -g33 + 1;
      g51 = -g34 + 1;
      g52 = -g35 + 1;
      g53 = -g37 + 1;
      g54 = -g38 + 1;
      g55 = -g39 + 1;
      g56 = -g40 + 1;
      g57 = -g41 + 1;
      g58 = -g42 + 1;
      g59 = -g43 + 1;
      g60 = -g44 + 1;
      g61 = -g45 + 1;
      g62 = -g34;
      g63 = -g35;
      g64 = -g37;
      g65 = -g38;
      g66 = -g39;
      g67 = -g40;
      g68 = -g41;
      g69 = -g42;
      g70 = -g43;
      g71 = -g44;
      g72 = -g45;
      g73 = -1.0*g31;
      g74 = -g3/g15;
      g75 = g15/(g3*xF[1]);
      g76 = g73*xF[0];
      g77 = g73*xF[10];
      g78 = g73*xF[11];
      g79 = g73*xF[1];
      g80 = g73*xF[2];
      g81 = g73*xF[3];
      g82 = g73*xF[4];
      g83 = g73*xF[5];
      g84 = g73*xF[6];
      g85 = g73*xF[7];
      g86 = g73*xF[8];
      g87 = g73*xF[9];
      g88 = pow(alpha, g0*g32) - 1;
      g89 = pow(alpha, g0*g32) - 1;
      g90 = pow(alpha, g1*g32) - 1;
      g91 = pow(alpha, g32*g4) - 1;
      g92 = pow(alpha, g32*g5) - 1;
      g93 = pow(alpha, g32*g6) - 1;
      g94 = pow(alpha, g32*g7) - 1;
      g95 = pow(alpha, g32*g8) - 1;
      g96 = pow(alpha, g32*g9) - 1;
      g97 = pow(alpha, g10*g32) - 1;
      g98 = pow(alpha, g11*g32) - 1;
      g99 = pow(alpha, g12*g32) - 1;
      g100 = pow(alpha, g13*g32) - 1;
      g101 = -pow(alpha, g1*g32);
      g102 = -pow(alpha, g32*g4);
      g103 = -pow(alpha, g32*g5);
      g104 = -pow(alpha, g32*g6);
      g105 = -pow(alpha, g32*g7);
      g106 = -pow(alpha, g32*g8);
      g107 = -pow(alpha, g32*g9);
      g108 = -pow(alpha, g10*g32);
      g109 = -pow(alpha, g11*g32);
      g110 = -pow(alpha, g12*g32);
      g111 = -pow(alpha, g13*g32);
      g112 = g50 + g89;
      g113 = -g101 - g34;
      g114 = -g102 - g35;
      g115 = -g103 - g37;
      g116 = -g104 - g38;
      g117 = -g105 - g39;
      g118 = -g106 - g40;
      g119 = -g107 - g41;
      g120 = -g108 - g42;
      g121 = -g109 - g43;
      g122 = -g110 - g44;
      g123 = -g111 - g45;
      g124 = pow(alpha, g1*g32) + g62;
      g125 = g50 + g89;
      g126 = pow(alpha, g32*g4) + g63;
      g127 = pow(alpha, g32*g5) + g64;
      g128 = pow(alpha, g32*g6) + g65;
      g129 = pow(alpha, g32*g7) + g66;
      g130 = pow(alpha, g32*g8) + g67;
      g131 = pow(alpha, g32*g9) + g68;
      g132 = pow(alpha, g10*g32) + g69;
      g133 = pow(alpha, g11*g32) + g70;
      g134 = pow(alpha, g12*g32) + g71;
      g135 = pow(alpha, g13*g32) + g72;
      g136 = xF[11]/g127;
      g137 = xF[9]/g135;
      g138 = xF[8]/g134;
      g139 = xF[1]/g125;
      g140 = xF[3]/g129;
      g141 = xF[10]/g126;
      g142 = xF[6]/g132;
      g143 = xF[7]/g133;
      g144 = xF[5]/g131;
      g145 = xF[2]/g128;
      g146 = xF[0]/g124;
      g147 = xF[4]/g118;
      g148 = xF[1]/g112;
      g149 = xF[0]/g113;
      g150 = xF[9]/g123;
      g151 = xF[6]/g120;
      g152 = xF[7]/g121;
      g153 = xF[2]/g116;
      g154 = xF[11]/g115;
      g155 = xF[5]/g119;
      g156 = xF[3]/g117;
      g157 = xF[8]/g122;
      g158 = xF[10]/g114;
      g159 = 1.0*g149;
      g160 = 1.0*g151;
      g161 = 1.0*g153;
      g162 = 1.0*g154;
      g163 = 1.0*g155;
      g164 = 1.0*g150;
      g165 = 1.0*g157;
      g166 = 1.0*g158;
      g167 = 1.0*g156;
      g168 = 1.0*g148;
      g169 = 1.0*g152;
      g170 = g58/g120;
      g171 = g61/g123;
      g172 = g56/g118;
      g173 = g59/g121;
      g174 = g51/g113;
      g175 = g57/g119;
      g176 = g55/g117;
      g177 = g49/g112;
      g178 = g53/g115;
      g179 = g54/g116;
      g180 = g52/g114;
      g181 = g60/g122;
      g182 = g147*g56;
      g183 = g150*g61;
      g184 = g149*g51;
      g185 = g152*g59;
      g186 = g153*g54;
      g187 = g157*g60;
      g188 = g156*g55;
      g189 = g148*g49;
      g190 = g155*g57;
      g191 = g154*g53;
      g192 = g151*g58;
      g193 = g158*g52;
      g194 = g88/g112;
      g195 = g90/g113;
      g196 = g92/g115;
      g197 = g93/g116;
      g198 = g94/g117;
      g199 = g95/g118;
      g200 = g99/g122;
      g201 = g100/g123;
      g202 = g97/g120;
      g203 = g98/g121;
      g204 = g91/g114;
      g205 = g96/g119;
      g206 = g148*g88;
      g207 = g149*g90;
      g208 = g151*g97;
      g209 = g153*g93;
      g210 = g154*g92;
      g211 = g155*g96;
      g212 = g100*g150;
      g213 = g156*g94;
      g214 = g157*g99;
      g215 = g158*g91;
      g216 = g152*g98;
      g217 = log(g125*g16*g75/g50);
      g218 = log(g112*g16*g75/g49);
      g219 = log(g125*g18*g47/g89);
      g220 = 1.0*g217;
      g221 = log(g112*g18*g47/g88);
      g222 = 1.0*g219;
      g223 = g172*g218;
      g224 = g170*g218;
      g225 = g171*g218;
      g226 = g174*g218;
      g227 = g175*g218;
      g228 = g179*g218;
      g229 = g181*g218;
      g230 = g178*g218;
      g231 = g176*g218;
      g232 = g180*g218;
      g233 = g177*g218;
      g234 = g173*g218;
      g235 = g202*g221;
      g236 = g196*g221;
      g237 = g198*g221;
      g238 = g195*g221;
      g239 = g197*g221;
      g240 = g205*g221;
      g241 = g200*g221;
      g242 = g201*g221;
      g243 = g204*g221;
      g244 = g194*g221;
      g245 = g203*g221;
      g246 = g199*g221;
      g247 = g76 + g77 + g78 + g79 + g80 + g81 + g82 + g83 + g84 + g85 + g86 + g87;
      LpF = xF[0]*(g19 + 1.0)*(g226 + g238 + g46)/(g36*(g19 - 1.0)) + xF[10]*(g20 + 1.0)*(g232 + g243 + g46)/(g36*(g20 - 1.0)) + xF[11]*(g21 + 1.0)*(g230 + g236 + g46)/(g36*(g21 - 1.0)) + xF[1]*(g22 + 1.0)*(g233 + g244 + g46)/(g36*(g22 - 1.0)) + xF[2]*(g23 + 1.0)*(g228 + g239 + g46)/(g36*(g23 - 1.0)) + xF[3]*(g24 + 1.0)*(g231 + g237 + g46)/(g36*(g24 - 1.0)) + xF[4]*(g25 + 1.0)*(g223 + g246 + g46)/(g36*(g25 - 1.0)) + xF[5]*(g26 + 1.0)*(g227 + g240 + g46)/(g36*(g26 - 1.0)) + xF[6]*(g27 + 1.0)*(g224 + g235 + g46)/(g36*(g27 - 1.0)) + xF[7]*(g28 + 1.0)*(g234 + g245 + g46)/(g36*(g28 - 1.0)) + xF[8]*(g29 + 1.0)*(g229 + g241 + g46)/(g36*(g29 - 1.0)) + xF[9]*(g30 + 1.0)*(g225 + g242 + g46)/(g36*(g30 - 1.0));
      PpF = g47;
      TpF = -g15/g3;
      SWUpF = -g136*g220*(g64 + 1) - g136*g222*(pow(alpha, g32*g5) - 1) - g137*g220*(g72 + 1) - g137*g222*(pow(alpha, g13*g32) - 1) - g138*g220*(g71 + 1) - g138*g222*(pow(alpha, g12*g32) - 1) - g139*g220*g50 - g139*g222*g89 - g140*g220*(g66 + 1) - g140*g222*(pow(alpha, g32*g7) - 1) - g141*g220*(g63 + 1) - g141*g222*(pow(alpha, g32*g4) - 1) - g142*g220*(g69 + 1) - g142*g222*(pow(alpha, g10*g32) - 1) - g143*g220*(g70 + 1) - g143*g222*(pow(alpha, g11*g32) - 1) - g144*g220*(g68 + 1) - g144*g222*(pow(alpha, g32*g9) - 1) - g145*g220*(g65 + 1) - g145*g222*(pow(alpha, g32*g6) - 1) - g146*g220*(g62 + 1) - g146*g222*(pow(alpha, g1*g32) - 1) - g247 - g17*g217*(g67 + 1)/g130 - g17*g219*(pow(alpha, g32*g8) - 1)/g130;
      SWUpP = -g48*(g100*g164*g221 + g159*g218*g51 + g159*g221*g90 + g160*g218*g58 + g160*g221*g97 + g161*g218*g54 + g161*g221*g93 + g162*g218*g53 + g162*g221*g92 + g163*g218*g57 + g163*g221*g96 + g164*g218*g61 + g165*g218*g60 + g165*g221*g99 + g166*g218*g52 + g166*g221*g91 + g167*g218*g55 + g167*g221*g94 + g168*g218*g49 + g168*g221*g88 + g169*g218*g59 + g169*g221*g98 + g17*g223 + g17*g246 + g247);
      xP[0] = g207*g48;
      xP[1] = g206*g48;
      xP[2] = g209*g48;
      xP[3] = g213*g48;
      xP[4] = g147*g48*g95;
      xP[5] = g211*g48;
      xP[6] = g208*g48;
      xP[7] = g216*g48;
      xP[8] = g214*g48;
      xP[9] = g212*g48;
      xP[10] = g215*g48;
      xP[11] = g210*g48;
      xT[0] = g184*g74;
      xT[1] = g189*g74;
      xT[2] = g186*g74;
      xT[3] = g188*g74;
      xT[4] = g182*g74;
      xT[5] = g190*g74;
      xT[6] = g192*g74;
      xT[7] = g185*g74;
      xT[8] = g187*g74;
      xT[9] = g183*g74;
      xT[10] = g193*g74;
      xT[11] = g191*g74;
      break;
    case 13:
      n0 = -0.500000000000000;
      n1 = -2.00000000000000;
      n2 = MW[0] - Mstar;
      n3 = log(alpha);
      n4 = xPj - xTj;
      n5 = xF[0] - xPj;
      n6 = MW[10] - Mstar;
      n7 = MW[11] - Mstar;
      n8 = MW[12] - Mstar;
      n9 = MW[1] - Mstar;
      n10 = MW[2] - Mstar;
      n11 = MW[3] - Mstar;
      n12 = MW[4] - Mstar;
      n13 = MW[5] - Mstar;
      n14 = MW[6] - Mstar;
      n15 = MW[7] - Mstar;
      n16 = MW[8] - Mstar;
      n17 = MW[9] - Mstar;
      n18 = log(xTj);
      n19 = -n2;
      n20 = -2;
      n21 = xF[0]*xPj;
      n22 = -Mstar;
      n23 = -n1*xF[11];
      n24 = -xTj;
      n25 = -NP0*n1;
      n26 = pow(n2, -n1);
      n27 = pow(n3, -n1);
      n28 = pow(n6, -n1);
      n29 = pow(n7, -n1);
      n30 = pow(n8, -n1);
      n31 = pow(n9, -n1);
      n32 = pow(n10, -n1);
      n33 = pow(n11, -n1);
      n34 = pow(n12, -n1);
      n35 = pow(n13, -n1);
      n36 = pow(n14, -n1);
      n37 = pow(n15, -n1);
      n38 = pow(n16, -n1);
      n39 = pow(n17, -n1);
      n40 = Mstar*n3;
      n41 = -n1*n3;
      n42 = pow(alpha, NP0*n2);
      n43 = n21 + n24*xF[0];
      n44 = n21 + n24*xPj;
      n45 = pow(alpha, NP0*n6);
      n46 = pow(alpha, NP0*n7);
      n47 = pow(alpha, NP0*n8);
      n48 = pow(alpha, NP0*n9);
      n49 = pow(alpha, NP0*n10);
      n50 = pow(alpha, NP0*n11);
      n51 = pow(alpha, NP0*n12);
      n52 = pow(alpha, NP0*n13);
      n53 = pow(alpha, NP0*n14);
      n54 = pow(alpha, NP0*n15);
      n55 = pow(alpha, NP0*n16);
      n56 = pow(alpha, NP0*n17);
      n57 = -MW[0]*n3;
      n58 = n4/n5;
      n59 = n13*n3;
      n60 = n3*n9;
      n61 = -n33;
      n62 = n2*n3;
      n63 = n15*n3;
      n64 = -n42 + 1;
      n65 = -n45 + 1;
      n66 = pow(alpha, NP0*n1*n19);
      n67 = pow(n44, -n1);
      n68 = -n46 + 1;
      n69 = -n47 + 1;
      n70 = -n48 + 1;
      n71 = -n49 + 1;
      n72 = -n50 + 1;
      n73 = -n51 + 1;
      n74 = -n52 + 1;
      n75 = -n53 + 1;
      n76 = -n54 + 1;
      n77 = -n55 + 1;
      n78 = -n56 + 1;
      n79 = -n72;
      n80 = -n75;
      n81 = -n73;
      n82 = -n42;
      n83 = -n46;
      n84 = -n47;
      n85 = -n49;
      n86 = -n52;
      n87 = -n53;
      n88 = -n56;
      n89 = n42*xF[0];
      n90 = 1.0/n62;
      n91 = n68*xF[11];
      n92 = n11*n50;
      n93 = n14*n53;
      n94 = n16*n55;
      n95 = n27*n35;
      n96 = n3*n51;
      n97 = n26*n27;
      n98 = n2*n42;
      n99 = n27*n37;
      n100 = n10*n49;
      n101 = n71*xF[2];
      n102 = n64*xF[0];
      n103 = n17*n56;
      n104 = n27*n30;
      n105 = n27*n31;
      n106 = n45*n6;
      n107 = n48*n9;
      n108 = n74*xF[5];
      n109 = n47*n8;
      n110 = n15*n54;
      n111 = n27*n39;
      n112 = log((-1.0 + xPj/xF[0])/n4);
      n113 = -n69*xF[12];
      n114 = -n78*xF[9];
      n115 = n106*xF[10];
      n116 = -n65*xF[10];
      n117 = -n77*xF[8];
      n118 = -n76*xF[7];
      n119 = n3*n46*n7;
      n120 = n44/n43;
      n121 = n109*n3*xF[12];
      n122 = n27*n29*n46;
      n123 = n27*n32*n49;
      n124 = n27*n38*n55;
      n125 = n27*n34*n51;
      n126 = n27*n28*n45;
      n127 = n27*n36*n53;
      n128 = n27*n33*n50;
      n129 = n120*n82 + 1;
      n130 = n112 + n18 + n40 + n57;
      n131 = n120/n129;
      n132 = n131*n27;
      n133 = n131*n3*n42;
      n134 = n90*(n130 - log(n129)) + 1;
      n135 = pow(alpha, n134*n2);
      n136 = pow(alpha, n134*n6);
      n137 = pow(alpha, n134*n7);
      n138 = pow(alpha, n134*n8);
      n139 = pow(alpha, n134*n9);
      n140 = pow(alpha, n10*n134);
      n141 = pow(alpha, n11*n134);
      n142 = pow(alpha, n12*n134);
      n143 = pow(alpha, n13*n134);
      n144 = pow(alpha, n134*n14);
      n145 = pow(alpha, n134*n15);
      n146 = pow(alpha, n134*n16);
      n147 = pow(alpha, n134*n17);
      n148 = n8/n138;
      n149 = n15/n145;
      n150 = n17/n147;
      n151 = n11/n141;
      n152 = n14/n144;
      n153 = n16/n146;
      n154 = n7/n137;
      n155 = n9/n139;
      n156 = n10/n140;
      n157 = n6/n136;
      n158 = n12/n142;
      n159 = n13/n143;
      n160 = n29/n137;
      n161 = n42/n143;
      n162 = pow(alpha, n134*n19) + n64 - 1;
      n163 = n65 - 1 + 1.0/n136;
      n164 = n68 - 1 + 1.0/n137;
      n165 = n69 - 1 + 1.0/n138;
      n166 = n70 - 1 + 1.0/n139;
      n167 = n71 - 1 + 1.0/n140;
      n168 = n72 - 1 + 1.0/n141;
      n169 = n73 - 1 + 1.0/n142;
      n170 = n74 - 1 + 1.0/n143;
      n171 = n75 - 1 + 1.0/n144;
      n172 = n76 - 1 + 1.0/n145;
      n173 = n77 - 1 + 1.0/n146;
      n174 = n78 - 1 + 1.0/n147;
      n175 = pow(n162, 3);
      n176 = pow(n163, 3);
      n177 = pow(n164, 3);
      n178 = pow(n165, 3);
      n179 = pow(n166, 3);
      n180 = pow(n167, 3);
      n181 = pow(n168, 3);
      n182 = pow(n169, 3);
      n183 = pow(n170, 3);
      n184 = pow(n171, 3);
      n185 = pow(n172, 3);
      n186 = pow(n173, 3);
      n187 = pow(n174, 3);
      n188 = xF[2]/n167;
      n189 = xF[11]/n164;
      n190 = xF[4]/n169;
      n191 = xF[3]/n168;
      n192 = xF[8]/n173;
      n193 = xF[6]/n171;
      n194 = xF[10]/n163;
      n195 = pow(n168, n20)*xF[3];
      n196 = xF[6]/n184;
      n197 = n3/n163;
      n198 = -1/n162;
      n199 = xF[4]/n182;
      n200 = n3*xF[9]/n174;
      n201 = n52*xF[5]/n170;
      n202 = n48*xF[1]/n166;
      n203 = n54*xF[7]/n172;
      n204 = n47*xF[12]/n165;
      n205 = n70/n179;
      n206 = pow(n162, n20)*n64;
      n207 = -n108*pow(n170, n20);
      n208 = n118/n185;
      n209 = -pow(n166, n20)*n70*xF[1];
      n210 = n111*n56*xF[9]/n174;
      n211 = n58*n89/(n162*n90);
      n212 = n19*n3*n58*n89/n162;
      n213 = n58*n89*n97/n162;
      n214 = n126*n194*n58;
      n215 = n122*n189*n58;
      n216 = n104*n204*n58;
      n217 = n105*n202*n58;
      n218 = n123*n188*n58;
      n219 = n128*n191*n58;
      n220 = n125*n190*n58;
      n221 = n201*n58*n95;
      n222 = n127*n193*n58;
      n223 = n203*n58*n99;
      n224 = n124*n192*n58;
      n225 = n210*n58;
      n226 = n0*n58*n82*n97*xF[0]/n162;
      n227 = n131/n135 + 1;
      n228 = n131*n42/(n135*n90) + n42/n90;
      n229 = n106*n3 + n133*n157;
      n230 = n119 + n133*n154;
      n231 = n109*n3 + n133*n148;
      n232 = n131*n42*n60/n139 + n48*n60;
      n233 = n100*n3 + n133*n156;
      n234 = n133*n151 + n3*n92;
      n235 = n12*n96 + n133*n158;
      n236 = n131*n161*n59 + n52*n59;
      n237 = n133*n152 + n3*n93;
      n238 = n131*n42*n63/n145 + n54*n63;
      n239 = n133*n153 + n3*n94;
      n240 = n103*n3 + n133*n150;
      n241 = pow(n228, -n1);
      n242 = pow(n229, -n1);
      n243 = pow(n230, -n1);
      n244 = pow(n231, -n1);
      n245 = pow(n232, -n1);
      n246 = pow(n233, -n1);
      n247 = pow(n234, -n1);
      n248 = pow(n235, -n1);
      n249 = pow(n236, -n1);
      n250 = pow(n237, -n1);
      n251 = pow(n238, -n1);
      n252 = pow(n239, -n1);
      n253 = pow(n240, -n1);
      n254 = n232*xF[1];
      n255 = n1*n133*n19/n135 + n1*n19*n3*n42;
      n256 = n245*xF[1];
      n257 = n131*n82*n97/n135 + n82*n97;
      n258 = pow(n165, n20)*n231;
      n259 = pow(n162, n20)*n228;
      n260 = pow(n164, n20)*n230;
      n261 = pow(n174, n20)*n240;
      n262 = pow(n163, n20)*n229;
      n263 = pow(n172, n20)*n238;
      n264 = pow(n173, n20)*n239;
      n265 = pow(n171, n20)*n237*xF[6];
      n266 = n241/n175;
      n267 = n246/n180;
      n268 = pow(n169, n20)*n235*xF[4];
      n269 = n249/n183;
      n270 = n243/n177;
      n271 = pow(n162, n20)*n257;
      n272 = -n102*n259*n58;
      n273 = n1*pow(n162, n20)*n19*n3*n58*n89*(pow(alpha, NP0*n2 + n134*n19)*n131/n90 + n42/n90);
      n274 = n115*pow(n163, n20)*n41*n58*(pow(alpha, NP0*n2 - n134*n6)*n131*n3*n6 + n106*n3);
      n275 = n119*pow(n164, n20)*n23*n58*(pow(alpha, NP0*n2 - n134*n7)*n131*n3*n7 + n119);
      n276 = n109*pow(n165, n20)*n41*n58*xF[12]*(pow(alpha, NP0*n2 - n134*n8)*n131*n3*n8 + n109*n3);
      n277 = n107*pow(n166, n20)*n41*n58*xF[1]*(pow(alpha, NP0*n2 - n134*n9)*n131*n60 + n48*n60);
      n278 = n100*pow(n167, n20)*n41*n58*xF[2]*(pow(alpha, NP0*n2 - n10*n134)*n10*n131*n3 + n100*n3);
      n279 = n195*n41*n58*n92*(pow(alpha, NP0*n2 - n11*n134)*n11*n131*n3 + n3*n92);
      n280 = n12*pow(n169, n20)*n41*n51*n58*xF[4]*(pow(alpha, NP0*n2 - n12*n134)*n12*n131*n3 + n12*n96);
      n281 = n13*pow(n170, n20)*n41*n52*n58*xF[5]*(pow(alpha, NP0*n2 - n13*n134)*n131*n59 + n52*n59);
      n282 = pow(n171, n20)*n41*n58*n93*xF[6]*(pow(alpha, NP0*n2 - n134*n14)*n131*n14*n3 + n3*n93);
      n283 = n110*pow(n172, n20)*n41*n58*xF[7]*(pow(alpha, NP0*n2 - n134*n15)*n131*n63 + n54*n63);
      n284 = pow(n173, n20)*n41*n58*n94*xF[8]*(pow(alpha, NP0*n2 - n134*n16)*n131*n16*n3 + n3*n94);
      n285 = n103*pow(n174, n20)*n41*n58*xF[9]*(pow(alpha, NP0*n2 - n134*n17)*n131*n17*n3 + n103*n3);
      n286 = 1.0*n259*n58*n89/n90;
      n287 = n102*n271*n58;
      n288 = -n0*n287;
      n289 = n211 + n272;
      n290 = n228*n255/n175;
      n291 = pow(alpha, n2*n25)*pow(n129, n20)*n157*n2*n27*pow(n43, n20)*n67 - pow(alpha, n2*n25)*pow(n129, n20)*n27*n28*pow(n43, n20)*n67/n136 + n126 + n132*n157*n98;
      n292 = pow(alpha, n2*n25)*pow(n129, n20)*n154*n19*n27*pow(n43, n20)*n67 + pow(alpha, n2*n25)*pow(n129, n20)*n160*n27*pow(n43, n20)*n67 + n132*n154*n19*n42 + n27*n29*n83;
      n293 = pow(alpha, n2*n25)*n104*pow(n129, n20)*pow(n43, n20)*n67/n138 + pow(alpha, n2*n25)*pow(n129, n20)*n148*n19*n27*pow(n43, n20)*n67 + n104*n84 + n132*n148*n19*n42;
      n294 = pow(alpha, n2*n25)*pow(n129, n20)*n156*n19*n27*pow(n43, n20)*n67 + pow(alpha, n2*n25)*pow(n129, n20)*n27*n32*pow(n43, n20)*n67/n140 + n132*n156*n19*n42 + n27*n32*n85;
      n295 = pow(alpha, n2*n25)*pow(n129, n20)*n158*n2*n27*pow(n43, n20)*n67 - pow(alpha, n2*n25)*pow(n129, n20)*n27*n34*pow(n43, n20)*n67/n142 + n125 + n132*n158*n98;
      n296 = pow(alpha, n2*n25)*pow(n129, n20)*n152*n19*n27*pow(n43, n20)*n67 + pow(alpha, n2*n25)*pow(n129, n20)*n27*n36*pow(n43, n20)*n67/n144 + n132*n152*n19*n42 + n27*n36*n87;
      n297 = pow(alpha, n2*n25)*pow(n129, n20)*n149*n2*n27*pow(n43, n20)*n67 - pow(alpha, n2*n25)*pow(n129, n20)*pow(n43, n20)*n67*n99/n145 + n132*n149*n98 + n54*n99;
      n298 = pow(alpha, n2*n25)*pow(n129, n20)*n153*n2*n27*pow(n43, n20)*n67 - pow(alpha, n2*n25)*pow(n129, n20)*n27*n38*pow(n43, n20)*n67/n146 + n124 + n132*n153*n98;
      n299 = pow(n165, n20)*n58*n69*xF[12]*(pow(alpha, -n134*n8 + n2*n25)*n104*pow(n129, n20)*pow(n43, n20)*n67 + pow(alpha, -n134*n8 + n2*n25)*pow(n129, n20)*n19*n27*pow(n43, n20)*n67*n8 + n104*n84 + n132*n148*n19*n42);
      n300 = n101*pow(n167, n20)*n58*(pow(alpha, -n10*n134 + n2*n25)*n10*pow(n129, n20)*n19*n27*pow(n43, n20)*n67 + pow(alpha, -n10*n134 + n2*n25)*pow(n129, n20)*n27*n32*pow(n43, n20)*n67 + n132*n156*n19*n42 + n27*n32*n85);
      n301 = pow(n171, n20)*n58*n75*xF[6]*(pow(alpha, -n134*n14 + n2*n25)*pow(n129, n20)*n14*n19*n27*pow(n43, n20)*n67 + pow(alpha, -n134*n14 + n2*n25)*pow(n129, n20)*n27*n36*pow(n43, n20)*n67 + n132*n152*n19*n42 + n27*n36*n87);
      n302 = n116*pow(n163, n20)*n58*(pow(alpha, -n134*n6 + n2*n25)*pow(n129, n20)*n2*n27*pow(n43, n20)*n6*n67 - pow(alpha, -n134*n6 + n2*n25)*pow(n129, n20)*n27*n28*pow(n43, n20)*n67 + n126 + n132*n157*n98);
      n303 = n209*n58*(-pow(alpha, -n134*n9 + n2*n25)*n105*pow(n129, n20)*pow(n43, n20)*n67 + pow(alpha, -n134*n9 + n2*n25)*pow(n129, n20)*n2*n27*pow(n43, n20)*n67*n9 + n105*n48 + n132*n155*n98);
      n304 = pow(n169, n20)*n58*n81*xF[4]*(pow(alpha, -n12*n134 + n2*n25)*n12*pow(n129, n20)*n2*n27*pow(n43, n20)*n67 - pow(alpha, -n12*n134 + n2*n25)*pow(n129, n20)*n27*n34*pow(n43, n20)*n67 + n125 + n132*n158*n98);
      n305 = n207*n58*(pow(alpha, -n13*n134 + n2*n25)*pow(n129, n20)*n13*n2*n27*pow(n43, n20)*n67 - pow(alpha, -n13*n134 + n2*n25)*pow(n129, n20)*pow(n43, n20)*n67*n95 + n132*n159*n98 + n52*n95);
      n306 = n118*pow(n172, n20)*n58*(pow(alpha, -n134*n15 + n2*n25)*pow(n129, n20)*n15*n2*n27*pow(n43, n20)*n67 - pow(alpha, -n134*n15 + n2*n25)*pow(n129, n20)*pow(n43, n20)*n67*n99 + n132*n149*n98 + n54*n99);
      n307 = n117*pow(n173, n20)*n58*(pow(alpha, -n134*n16 + n2*n25)*pow(n129, n20)*n16*n2*n27*pow(n43, n20)*n67 - pow(alpha, -n134*n16 + n2*n25)*pow(n129, n20)*n27*n38*pow(n43, n20)*n67 + n124 + n132*n153*n98);
      n308 = n114*pow(n174, n20)*n58*(-pow(alpha, -n134*n17 + n2*n25)*n111*pow(n129, n20)*pow(n43, n20)*n67 + pow(alpha, -n134*n17 + n2*n25)*pow(n129, n20)*n17*n2*n27*pow(n43, n20)*n67 + n111*n56 + n132*n150*n98);
      n309 = n226 + n286 + n288;
      n310 = n100*n188*n3*n58 - n101*pow(n167, n20)*n233*n58 + n103*n200*n58 + n113*n258*n58 + n114*n261*n58 + n115*n197*n58 + n116*n262*n58 + n117*n264*n58 + n118*n263*n58 + n119*n189*n58 + n12*n190*n58*n96 + n121*n58/n165 + n191*n3*n58*n92 + n192*n3*n58*n94 + n193*n3*n58*n93 + n195*n234*n58*n79 + n201*n58*n59 + n202*n58*n60 + n203*n58*n63 + n207*n236*n58 + n209*n232*n58 - n260*n58*n91 + n265*n58*n80 + n268*n58*n81 + n289;
      n311 = n310*xTj;
      n312 = n213 + n214 + n215 + n216 + n217 + n218 + n219 + n220 + n221 + n222 + n223 + n224 + n225 + n273 + n274 + n275 + n276 + n277 + n278 + n279 + n280 + n281 + n282 + n283 + n284 + n285 + n287 + n299 + n300 + n301 + n302 + n303 + n304 + n305 + n306 + n307 + n308;
      n313 = -n101*n233*n58*(n100*n41 + n131*n156*n41*n42)/n180 - n102*n290*n58 - n108*n236*n58*(n13*n41*n52 + n131*n159*n41*n42)/n183 + n113*n231*n58*(n109*n41 + n131*n148*n41*n42)/n178 + n114*n240*n58*(n103*n41 + n131*n150*n41*n42)/n187 + n116*n229*n58*(n106*n41 + n131*n157*n41*n42)/n176 + n117*n239*n58*(n131*n153*n41*n42 + n41*n94)/n186 - pow(n164, n20)*n58*n91*(pow(alpha, -n134*n7 + n2*n25)*pow(n129, n20)*n2*n27*pow(n43, n20)*n67*n7 - pow(alpha, -n134*n7 + n2*n25)*pow(n129, n20)*n27*n29*pow(n43, n20)*n67 + n122 + n132*n154*n98) + n195*n58*n72*(pow(alpha, -n11*n134 + n2*n25)*n11*pow(n129, n20)*n19*n27*pow(n43, n20)*n67 + pow(alpha, -n11*n134 + n2*n25)*pow(n129, n20)*n27*n33*pow(n43, n20)*n67 + n132*n151*n19*n42 + n27*n50*n61) + n196*n237*n58*n80*(n131*n152*n41*n42 + n41*n93) + n199*n235*n58*n81*(n12*n41*n51 + n131*n158*n41*n42) - n205*n254*n58*(n107*n41 + n131*n155*n41*n42) + n208*n238*n58*(n110*n41 + n131*n149*n41*n42) + n312 + n234*n58*n79*xF[3]*(n131*n151*n41*n42 + n41*n92)/n181 - n230*n58*n91*(n131*n154*n41*n42 + n41*n46*n7)/n177;
      n314 = n313*xTj;
      NP_b = -n206*n227*n58*n89/n90 - n212 - n25*(-n0*n102*pow(n162, n20)*n58*(-pow(alpha, NP0*n2 - n134*n2)*n131*n97 + n82*n97) + n0*xTj*(n101*pow(n167, n20)*n58*(pow(alpha, NP0*n2 - n10*n134)*n10*n132*n19 + pow(alpha, -n10*n134 + n2*n25)*n10*pow(n129, n20)*n19*n27*pow(n43, n20)*n67 + pow(alpha, -n10*n134 + n2*n25)*pow(n129, n20)*n27*n32*pow(n43, n20)*n67 + n27*n32*n85) + n101*n20*n267*n58 + n102*pow(n162, n20)*n58*(-pow(alpha, NP0*n2 - n134*n2)*n131*n97 + n82*n97) + n102*n20*n266*n58 + n108*n20*n269*n58 + n114*pow(n174, n20)*n58*(pow(alpha, NP0*n2 - n134*n17)*n132*n17*n2 - pow(alpha, -n134*n17 + n2*n25)*n111*pow(n129, n20)*pow(n43, n20)*n67 + pow(alpha, -n134*n17 + n2*n25)*pow(n129, n20)*n17*n2*n27*pow(n43, n20)*n67 + n111*n56) + n116*pow(n163, n20)*n58*(pow(alpha, NP0*n2 - n134*n6)*n132*n2*n6 + pow(alpha, -n134*n6 + n2*n25)*pow(n129, n20)*n2*n27*pow(n43, n20)*n6*n67 - pow(alpha, -n134*n6 + n2*n25)*pow(n129, n20)*n27*n28*pow(n43, n20)*n67 + n126) + n117*pow(n173, n20)*n58*(pow(alpha, NP0*n2 - n134*n16)*n132*n16*n2 + pow(alpha, -n134*n16 + n2*n25)*pow(n129, n20)*n16*n2*n27*pow(n43, n20)*n67 - pow(alpha, -n134*n16 + n2*n25)*pow(n129, n20)*n27*n38*pow(n43, n20)*n67 + n124) + n118*pow(n172, n20)*n58*(pow(alpha, NP0*n2 - n134*n15)*n132*n15*n2 + pow(alpha, -n134*n15 + n2*n25)*pow(n129, n20)*n15*n2*n27*pow(n43, n20)*n67 - pow(alpha, -n134*n15 + n2*n25)*pow(n129, n20)*pow(n43, n20)*n67*n99 + n54*n99) + pow(n164, n20)*n58*n91*(pow(alpha, NP0*n2 - n134*n7)*n132*n19*n7 + pow(alpha, -n134*n7 + n2*n25)*pow(n129, n20)*n19*n27*pow(n43, n20)*n67*n7 + pow(alpha, -n134*n7 + n2*n25)*pow(n129, n20)*n27*n29*pow(n43, n20)*n67 + n27*n29*n83) + pow(n165, n20)*n58*n69*xF[12]*(pow(alpha, NP0*n2 - n134*n8)*n132*n19*n8 + pow(alpha, -n134*n8 + n2*n25)*n104*pow(n129, n20)*pow(n43, n20)*n67 + pow(alpha, -n134*n8 + n2*n25)*pow(n129, n20)*n19*n27*pow(n43, n20)*n67*n8 + n104*n84) + pow(n169, n20)*n58*n81*xF[4]*(pow(alpha, NP0*n2 - n12*n134)*n12*n132*n2 + pow(alpha, -n12*n134 + n2*n25)*n12*pow(n129, n20)*n2*n27*pow(n43, n20)*n67 - pow(alpha, -n12*n134 + n2*n25)*pow(n129, n20)*n27*n34*pow(n43, n20)*n67 + n125) + pow(n171, n20)*n58*n75*xF[6]*(pow(alpha, NP0*n2 - n134*n14)*n132*n14*n19 + pow(alpha, -n134*n14 + n2*n25)*pow(n129, n20)*n14*n19*n27*pow(n43, n20)*n67 + pow(alpha, -n134*n14 + n2*n25)*pow(n129, n20)*n27*n36*pow(n43, n20)*n67 + n27*n36*n87) + n195*n58*n79*(pow(alpha, NP0*n2 - n11*n134)*n11*n132*n2 + pow(alpha, -n11*n134 + n2*n25)*n11*pow(n129, n20)*n2*n27*pow(n43, n20)*n67 + pow(alpha, -n11*n134 + n2*n25)*pow(n129, n20)*n27*pow(n43, n20)*n61*n67 + n128) + n196*n20*n250*n58*n75 + n199*n20*n248*n58*n73 + n20*n205*n256*n58 + n20*n270*n58*n91 + n207*n58*(pow(alpha, NP0*n2 - n13*n134)*n13*n132*n2 + pow(alpha, -n13*n134 + n2*n25)*pow(n129, n20)*n13*n2*n27*pow(n43, n20)*n67 - pow(alpha, -n13*n134 + n2*n25)*pow(n129, n20)*pow(n43, n20)*n67*n95 + n52*n95) + n209*n58*(pow(alpha, NP0*n2 - n134*n9)*n132*n2*n9 - pow(alpha, -n134*n9 + n2*n25)*n105*pow(n129, n20)*pow(n43, n20)*n67 + pow(alpha, -n134*n9 + n2*n25)*pow(n129, n20)*n2*n27*pow(n43, n20)*n67*n9 + n105*n48) + n213 + n214 + n215 + n216 + n217 + n218 + n219 + n220 + n221 + n222 + n223 + n224 + n225 + n273 + n274 + n275 + n276 + n277 + n278 + n279 + n280 + n281 + n282 + n283 + n284 + n285 + n20*n253*n58*n78*xF[9]/n187 + n20*n252*n58*n77*xF[8]/n186 + n20*n251*n58*n76*xF[7]/n185 + n20*n247*n58*n72*xF[3]/n181 + n20*n244*n58*n69*xF[12]/n178 + n20*n242*n58*n65*xF[10]/n176) - 1.0*n102*n266*n58 + 1.0*pow(n162, n20)*n58*n89*(pow(alpha, NP0*n2 - n134*n2)*n131/n90 + n42/n90)/n90 + n226) - n58*xTj*(n100*n188*n3 - n101*pow(n167, n20)*n233 - n102*n259 + n103*n200 + n113*n258 + n114*n261 + n115*n197 + n116*n262 + n117*n264 + n118*n263 + n119*n189 + n12*n190*n96 + n121/n165 + n191*n3*n92 + n192*n3*n94 + n193*n3*n93 + n195*n234*n79 + n201*n59 + n202*n60 + n203*n63 + n207*n236 + n209*n232 - n260*n91 + n265*n80 + n268*n81 + n89/(n162*n90));
      NP_2a = -n58*(-pow(alpha, n2*n25)*n1*n102*pow(n227, -n1)*n97/n175 + pow(alpha, n2*n25)*n1*pow(n162, n20)*n227*n97*xF[0] + n102*pow(n162, n20)*n82*n97*(-1 + (-n21 + xPj*xTj)/(n129*n135*n43)) + 1.0*xTj*(n1*pow(n162, n20)*n19*n3*n89*(pow(alpha, NP0*n2 + n134*n19)*n131/n90 + n42/n90) + n100*pow(n167, n20)*n41*xF[2]*(pow(alpha, NP0*n2 - n10*n134)*n10*n131*n3 + n100*n3) + n101*pow(n167, n20)*(pow(alpha, -n10*n134 + n2*n25)*n10*pow(n129, n20)*n19*n27*pow(n43, n20)*n67 + pow(alpha, -n10*n134 + n2*n25)*pow(n129, n20)*n27*n32*pow(n43, n20)*n67 + n132*n156*n19*n42 + n27*n32*n85) + n101*n20*n267 + n102*n20*n266 + n102*n271 + n103*pow(n174, n20)*n41*xF[9]*(pow(alpha, NP0*n2 - n134*n17)*n131*n17*n3 + n103*n3) + n104*n204 + n105*n202 + n107*pow(n166, n20)*n41*xF[1]*(pow(alpha, NP0*n2 - n134*n9)*n131*n60 + n48*n60) + n108*n20*n269 + n109*pow(n165, n20)*n41*xF[12]*(pow(alpha, NP0*n2 - n134*n8)*n131*n3*n8 + n109*n3) + n110*pow(n172, n20)*n41*xF[7]*(pow(alpha, NP0*n2 - n134*n15)*n131*n63 + n54*n63) + n115*pow(n163, n20)*n41*(pow(alpha, NP0*n2 - n134*n6)*n131*n3*n6 + n106*n3) + n116*pow(n163, n20)*(pow(alpha, -n134*n6 + n2*n25)*pow(n129, n20)*n2*n27*pow(n43, n20)*n6*n67 - pow(alpha, -n134*n6 + n2*n25)*pow(n129, n20)*n27*n28*pow(n43, n20)*n67 + n126 + n132*n157*n98) + n117*pow(n173, n20)*(pow(alpha, -n134*n16 + n2*n25)*pow(n129, n20)*n16*n2*n27*pow(n43, n20)*n67 - pow(alpha, -n134*n16 + n2*n25)*pow(n129, n20)*n27*n38*pow(n43, n20)*n67 + n124 + n132*n153*n98) + n118*pow(n172, n20)*(pow(alpha, -n134*n15 + n2*n25)*pow(n129, n20)*n15*n2*n27*pow(n43, n20)*n67 - pow(alpha, -n134*n15 + n2*n25)*pow(n129, n20)*pow(n43, n20)*n67*n99 + n132*n149*n98 + n54*n99) + n119*pow(n164, n20)*n23*(pow(alpha, NP0*n2 - n134*n7)*n131*n3*n7 + n119) + n12*pow(n169, n20)*n41*n51*xF[4]*(pow(alpha, NP0*n2 - n12*n134)*n12*n131*n3 + n12*n96) + n122*n189 + n123*n188 + n124*n192 + n125*n190 + n126*n194 + n127*n193 + n128*n191 + n13*pow(n170, n20)*n41*n52*xF[5]*(pow(alpha, NP0*n2 - n13*n134)*n131*n59 + n52*n59) + pow(n164, n20)*n91*(pow(alpha, -n134*n7 + n2*n25)*pow(n129, n20)*n19*n27*pow(n43, n20)*n67*n7 + pow(alpha, -n134*n7 + n2*n25)*pow(n129, n20)*n27*n29*pow(n43, n20)*n67 + n132*n154*n19*n42 + n27*n29*n83) + pow(n165, n20)*n69*xF[12]*(pow(alpha, -n134*n8 + n2*n25)*n104*pow(n129, n20)*pow(n43, n20)*n67 + pow(alpha, -n134*n8 + n2*n25)*pow(n129, n20)*n19*n27*pow(n43, n20)*n67*n8 + n104*n84 + n132*n148*n19*n42) + pow(n169, n20)*n81*xF[4]*(pow(alpha, -n12*n134 + n2*n25)*n12*pow(n129, n20)*n2*n27*pow(n43, n20)*n67 - pow(alpha, -n12*n134 + n2*n25)*pow(n129, n20)*n27*n34*pow(n43, n20)*n67 + n125 + n132*n158*n98) + pow(n171, n20)*n41*n93*xF[6]*(pow(alpha, NP0*n2 - n134*n14)*n131*n14*n3 + n3*n93) + pow(n171, n20)*n75*xF[6]*(pow(alpha, -n134*n14 + n2*n25)*pow(n129, n20)*n14*n19*n27*pow(n43, n20)*n67 + pow(alpha, -n134*n14 + n2*n25)*pow(n129, n20)*n27*n36*pow(n43, n20)*n67 + n132*n152*n19*n42 + n27*n36*n87) + pow(n173, n20)*n41*n94*xF[8]*(pow(alpha, NP0*n2 - n134*n16)*n131*n16*n3 + n3*n94) + pow(n174, n20)*n78*xF[9]*(pow(alpha, -n134*n17 + n2*n25)*n111*pow(n129, n20)*pow(n43, n20)*n67 + pow(alpha, -n134*n17 + n2*n25)*pow(n129, n20)*n17*n19*n27*pow(n43, n20)*n67 + n111*n88 + n132*n150*n19*n42) + n195*n41*n92*(pow(alpha, NP0*n2 - n11*n134)*n11*n131*n3 + n3*n92) + n195*n79*(pow(alpha, -n11*n134 + n2*n25)*n11*pow(n129, n20)*n2*n27*pow(n43, n20)*n67 + pow(alpha, -n11*n134 + n2*n25)*pow(n129, n20)*n27*pow(n43, n20)*n61*n67 + n128 + n132*n151*n98) + n196*n20*n250*n75 + n199*n20*n248*n73 + n20*n205*n256 + n20*n270*n91 + n201*n95 + n203*n99 + n207*(pow(alpha, -n13*n134 + n2*n25)*pow(n129, n20)*n13*n2*n27*pow(n43, n20)*n67 - pow(alpha, -n13*n134 + n2*n25)*pow(n129, n20)*pow(n43, n20)*n67*n95 + n132*n159*n98 + n52*n95) + n209*(-pow(alpha, -n134*n9 + n2*n25)*n105*pow(n129, n20)*pow(n43, n20)*n67 + pow(alpha, -n134*n9 + n2*n25)*pow(n129, n20)*n2*n27*pow(n43, n20)*n67*n9 + n105*n48 + n132*n155*n98) + n210 + n20*n253*n78*xF[9]/n187 + n20*n252*n77*xF[8]/n186 + n20*n251*n76*xF[7]/n185 + n20*n247*n72*xF[3]/n181 + n20*n244*n69*xF[12]/n178 + n20*n242*n65*xF[10]/n176 + n89*n97/n162) - 1.0*n89*n97/n162);
      NP_sqrt_base = (NP0*(n24*(n100*n188*n3*n58 - n101*pow(n167, n20)*n58*(pow(alpha, NP0*n2 - n10*n134)*n10*n131*n3 + n100*n3) - n102*pow(n162, n20)*n58*(pow(alpha, NP0*n2 - n134*n2)*n131/n90 + n42/n90) + n103*n200*n58 + n113*pow(n165, n20)*n58*(pow(alpha, NP0*n2 - n134*n8)*n131*n3*n8 + n109*n3) + n114*pow(n174, n20)*n58*(pow(alpha, NP0*n2 - n134*n17)*n131*n17*n3 + n103*n3) + n115*n197*n58 + n116*pow(n163, n20)*n58*(pow(alpha, NP0*n2 - n134*n6)*n131*n3*n6 + n106*n3) + n117*pow(n173, n20)*n58*(pow(alpha, NP0*n2 - n134*n16)*n131*n16*n3 + n3*n94) + n118*pow(n172, n20)*n58*(pow(alpha, NP0*n2 - n134*n15)*n131*n63 + n54*n63) + n119*n189*n58 + n12*n190*n58*n96 + n121*n58/n165 - pow(n164, n20)*n58*n91*(pow(alpha, NP0*n2 - n134*n7)*n131*n3*n7 + n119) + pow(n169, n20)*n58*n81*xF[4]*(pow(alpha, NP0*n2 - n12*n134)*n12*n131*n3 + n12*n96) + pow(n171, n20)*n58*n80*xF[6]*(pow(alpha, NP0*n2 - n134*n14)*n131*n14*n3 + n3*n93) + n191*n3*n58*n92 + n192*n3*n58*n94 + n193*n3*n58*n93 + n195*n58*n79*(pow(alpha, NP0*n2 - n11*n134)*n11*n131*n3 + n3*n92) + n201*n58*n59 + n202*n58*n60 + n203*n58*n63 + n207*n58*(pow(alpha, NP0*n2 - n13*n134)*n131*n59 + n52*n59) + n209*n58*(pow(alpha, NP0*n2 - n134*n9)*n131*n60 + n48*n60) + n211) + n289) + n102*n58/n162 + xTj*(-n101*n58/n167 + n102*n198*n58 - n108*n58/n170 + n113*n58/n165 + n114*n58/n174 + n116*n58/n163 + n117*n58/n173 + n118*n58/n172 + n190*n58*n81 + n191*n58*n79 + n193*n58*n80 - n58*n70*xF[1]/n166 - n58*n91/n164) + pow(NP0, -n1)*(-n0*n102*n290*n58 + n0*n213 + n0*n24*(n101*pow(n167, n20)*n58*(pow(alpha, NP0*n2 - n10*n134)*n10*n132*n19 + pow(alpha, -n10*n134 + n2*n25)*n10*pow(n129, n20)*n19*n27*pow(n43, n20)*n67 + pow(alpha, -n10*n134 + n2*n25)*pow(n129, n20)*n27*n32*pow(n43, n20)*n67 + n27*n32*n85) - n101*n58*(pow(alpha, NP0*n2 - n10*n134)*n10*n131*n3 + n100*n3)*(pow(alpha, NP0*n2 - n10*n134)*n10*n131*n41 + n100*n41)/n180 + n102*pow(n162, n20)*n58*(pow(alpha, NP0*n2 - n134*n2)*n97*(-n21 + xPj*xTj)/(n129*n43) + n82*n97) - n102*n58*(pow(alpha, NP0*n2 - n134*n2)*n131/n90 + n42/n90)*(pow(alpha, NP0*n2 - n134*n2)*n1*n131*n19*n3 + n1*n19*n3*n42)/n175 - n108*n58*(pow(alpha, NP0*n2 - n13*n134)*n131*n59 + n52*n59)*(pow(alpha, NP0*n2 - n13*n134)*n13*n131*n41 + n13*n41*n52)/n183 + n113*n58*(pow(alpha, NP0*n2 - n134*n8)*n131*n3*n8 + n109*n3)*(pow(alpha, NP0*n2 - n134*n8)*n131*n41*n8 + n109*n41)/n178 + n114*pow(n174, n20)*n58*(pow(alpha, NP0*n2 - n134*n17)*n132*n17*n2 - pow(alpha, -n134*n17 + n2*n25)*n111*pow(n129, n20)*pow(n43, n20)*n67 + pow(alpha, -n134*n17 + n2*n25)*pow(n129, n20)*n17*n2*n27*pow(n43, n20)*n67 + n111*n56) + n114*n58*(pow(alpha, NP0*n2 - n134*n17)*n131*n17*n3 + n103*n3)*(pow(alpha, NP0*n2 - n134*n17)*n131*n17*n41 + n103*n41)/n187 + n116*pow(n163, n20)*n58*(pow(alpha, NP0*n2 - n134*n6)*n132*n2*n6 + pow(alpha, -n134*n6 + n2*n25)*pow(n129, n20)*n2*n27*pow(n43, n20)*n6*n67 - pow(alpha, -n134*n6 + n2*n25)*pow(n129, n20)*n27*n28*pow(n43, n20)*n67 + n126) + n116*n58*(pow(alpha, NP0*n2 - n134*n6)*n131*n3*n6 + n106*n3)*(pow(alpha, NP0*n2 - n134*n6)*n131*n41*n6 + n106*n41)/n176 + n117*pow(n173, n20)*n58*(pow(alpha, NP0*n2 - n134*n16)*n132*n16*n2 + pow(alpha, -n134*n16 + n2*n25)*pow(n129, n20)*n16*n2*n27*pow(n43, n20)*n67 - pow(alpha, -n134*n16 + n2*n25)*pow(n129, n20)*n27*n38*pow(n43, n20)*n67 + n124) + n117*n58*(pow(alpha, NP0*n2 - n134*n16)*n131*n16*n3 + n3*n94)*(pow(alpha, NP0*n2 - n134*n16)*n131*n16*n41 + n41*n94)/n186 + n118*pow(n172, n20)*n58*(pow(alpha, NP0*n2 - n134*n15)*n132*n15*n2 + pow(alpha, -n134*n15 + n2*n25)*pow(n129, n20)*n15*n2*n27*pow(n43, n20)*n67 - pow(alpha, -n134*n15 + n2*n25)*pow(n129, n20)*pow(n43, n20)*n67*n99 + n54*n99) - pow(n164, n20)*n58*n91*(pow(alpha, NP0*n2 - n134*n7)*n132*n2*n7 + pow(alpha, -n134*n7 + n2*n25)*pow(n129, n20)*n2*n27*pow(n43, n20)*n67*n7 - pow(alpha, -n134*n7 + n2*n25)*pow(n129, n20)*n27*n29*pow(n43, n20)*n67 + n122) + pow(n165, n20)*n58*n69*xF[12]*(pow(alpha, NP0*n2 - n134*n8)*n132*n19*n8 + pow(alpha, -n134*n8 + n2*n25)*n104*pow(n129, n20)*pow(n43, n20)*n67 + pow(alpha, -n134*n8 + n2*n25)*pow(n129, n20)*n19*n27*pow(n43, n20)*n67*n8 + n104*n84) + pow(n169, n20)*n58*n81*xF[4]*(pow(alpha, NP0*n2 - n12*n134)*n12*n132*n2 + pow(alpha, -n12*n134 + n2*n25)*n12*pow(n129, n20)*n2*n27*pow(n43, n20)*n67 - pow(alpha, -n12*n134 + n2*n25)*pow(n129, n20)*n27*n34*pow(n43, n20)*n67 + n125) + pow(n171, n20)*n58*n75*xF[6]*(pow(alpha, NP0*n2 - n134*n14)*n132*n14*n19 + pow(alpha, -n134*n14 + n2*n25)*pow(n129, n20)*n14*n19*n27*pow(n43, n20)*n67 + pow(alpha, -n134*n14 + n2*n25)*pow(n129, n20)*n27*n36*pow(n43, n20)*n67 + n27*n36*n87) + n195*n58*n72*(pow(alpha, NP0*n2 - n11*n134)*n11*n132*n19 + pow(alpha, -n11*n134 + n2*n25)*n11*pow(n129, n20)*n19*n27*pow(n43, n20)*n67 + pow(alpha, -n11*n134 + n2*n25)*pow(n129, n20)*n27*n33*pow(n43, n20)*n67 + n27*n50*n61) + n196*n58*n80*(pow(alpha, NP0*n2 - n134*n14)*n131*n14*n3 + n3*n93)*(pow(alpha, NP0*n2 - n134*n14)*n131*n14*n41 + n41*n93) + n199*n58*n81*(pow(alpha, NP0*n2 - n12*n134)*n12*n131*n3 + n12*n96)*(pow(alpha, NP0*n2 - n12*n134)*n12*n131*n41 + n12*n41*n51) - n205*n58*xF[1]*(pow(alpha, NP0*n2 - n134*n9)*n131*n60 + n48*n60)*(pow(alpha, NP0*n2 - n134*n9)*n131*n41*n9 + n107*n41) + n207*n58*(pow(alpha, NP0*n2 - n13*n134)*n13*n132*n2 + pow(alpha, -n13*n134 + n2*n25)*pow(n129, n20)*n13*n2*n27*pow(n43, n20)*n67 - pow(alpha, -n13*n134 + n2*n25)*pow(n129, n20)*pow(n43, n20)*n67*n95 + n52*n95) + n208*n58*(pow(alpha, NP0*n2 - n134*n15)*n131*n63 + n54*n63)*(pow(alpha, NP0*n2 - n134*n15)*n131*n15*n41 + n110*n41) + n209*n58*(pow(alpha, NP0*n2 - n134*n9)*n132*n2*n9 - pow(alpha, -n134*n9 + n2*n25)*n105*pow(n129, n20)*pow(n43, n20)*n67 + pow(alpha, -n134*n9 + n2*n25)*pow(n129, n20)*n2*n27*pow(n43, n20)*n67*n9 + n105*n48) + n213 + n214 + n215 + n216 + n217 + n218 + n219 + n220 + n221 + n222 + n223 + n224 + n225 + n273 + n274 + n275 + n276 + n277 + n278 + n279 + n280 + n281 + n282 + n283 + n284 + n285 + n58*n79*xF[3]*(pow(alpha, NP0*n2 - n11*n134)*n11*n131*n3 + n3*n92)*(pow(alpha, NP0*n2 - n11*n134)*n11*n131*n41 + n41*n92)/n181 - n58*n91*(pow(alpha, NP0*n2 - n134*n7)*n131*n3*n7 + n119)*(pow(alpha, NP0*n2 - n134*n7)*n131*n41*n7 + n41*n46*n7)/n177) + n0*n287 - 1.0*n259*n58*n89/n90))*(-n1*n213 - n1*n24*(n101*pow(n167, n20)*n58*(pow(alpha, NP0*n2 - n10*n134)*n10*n132*n19 + pow(alpha, -n10*n134 + n2*n25)*n10*pow(n129, n20)*n19*n27*pow(n43, n20)*n67 + pow(alpha, -n10*n134 + n2*n25)*pow(n129, n20)*n27*n32*pow(n43, n20)*n67 + n27*n32*n85) - n101*n58*(pow(alpha, NP0*n2 - n10*n134)*n10*n131*n3 + n100*n3)*(pow(alpha, NP0*n2 - n10*n134)*n10*n131*n41 + n100*n41)/n180 + n102*pow(n162, n20)*n58*(pow(alpha, NP0*n2 - n134*n2)*n97*(-n21 + xPj*xTj)/(n129*n43) + n82*n97) - n102*n58*(pow(alpha, NP0*n2 - n134*n2)*n131/n90 + n42/n90)*(pow(alpha, NP0*n2 - n134*n2)*n1*n131*n19*n3 + n1*n19*n3*n42)/n175 - n108*n58*(pow(alpha, NP0*n2 - n13*n134)*n131*n59 + n52*n59)*(pow(alpha, NP0*n2 - n13*n134)*n13*n131*n41 + n13*n41*n52)/n183 + n113*n58*(pow(alpha, NP0*n2 - n134*n8)*n131*n3*n8 + n109*n3)*(pow(alpha, NP0*n2 - n134*n8)*n131*n41*n8 + n109*n41)/n178 + n114*pow(n174, n20)*n58*(pow(alpha, NP0*n2 - n134*n17)*n132*n17*n2 - pow(alpha, -n134*n17 + n2*n25)*n111*pow(n129, n20)*pow(n43, n20)*n67 + pow(alpha, -n134*n17 + n2*n25)*pow(n129, n20)*n17*n2*n27*pow(n43, n20)*n67 + n111*n56) + n114*n58*(pow(alpha, NP0*n2 - n134*n17)*n131*n17*n3 + n103*n3)*(pow(alpha, NP0*n2 - n134*n17)*n131*n17*n41 + n103*n41)/n187 + n116*pow(n163, n20)*n58*(pow(alpha, NP0*n2 - n134*n6)*n132*n2*n6 + pow(alpha, -n134*n6 + n2*n25)*pow(n129, n20)*n2*n27*pow(n43, n20)*n6*n67 - pow(alpha, -n134*n6 + n2*n25)*pow(n129, n20)*n27*n28*pow(n43, n20)*n67 + n126) + n116*n58*(pow(alpha, NP0*n2 - n134*n6)*n131*n3*n6 + n106*n3)*(pow(alpha, NP0*n2 - n134*n6)*n131*n41*n6 + n106*n41)/n176 + n117*pow(n173, n20)*n58*(pow(alpha, NP0*n2 - n134*n16)*n132*n16*n2 + pow(alpha, -n134*n16 + n2*n25)*pow(n129, n20)*n16*n2*n27*pow(n43, n20)*n67 - pow(alpha, -n134*n16 + n2*n25)*pow(n129, n20)*n27*n38*pow(n43, n20)*n67 + n124) + n117*n58*(pow(alpha, NP0*n2 - n134*n16)*n131*n16*n3 + n3*n94)*(pow(alpha, NP0*n2 - n134*n16)*n131*n16*n41 + n41*n94)/n186 + n118*pow(n172, n20)*n58*(pow(alpha, NP0*n2 - n134*n15)*n132*n15*n2 + pow(alpha, -n134*n15 + n2*n25)*pow(n129, n20)*n15*n2*n27*pow(n43, n20)*n67 - pow(alpha, -n134*n15 + n2*n25)*pow(n129, n20)*pow(n43, n20)*n67*n99 + n54*n99) - pow(n164, n20)*n58*n91*(pow(alpha, NP0*n2 - n134*n7)*n132*n2*n7 + pow(alpha, -n134*n7 + n2*n25)*pow(n129, n20)*n2*n27*pow(n43, n20)*n67*n7 - pow(alpha, -n134*n7 + n2*n25)*pow(n129, n20)*n27*n29*pow(n43, n20)*n67 + n122) + pow(n165, n20)*n58*n69*xF[12]*(pow(alpha, NP0*n2 - n134*n8)*n132*n19*n8 + pow(alpha, -n134*n8 + n2*n25)*n104*pow(n129, n20)*pow(n43, n20)*n67 + pow(alpha, -n134*n8 + n2*n25)*pow(n129, n20)*n19*n27*pow(n43, n20)*n67*n8 + n104*n84) + pow(n169, n20)*n58*n81*xF[4]*(pow(alpha, NP0*n2 - n12*n134)*n12*n132*n2 + pow(alpha, -n12*n134 + n2*n25)*n12*pow(n129, n20)*n2*n27*pow(n43, n20)*n67 - pow(alpha, -n12*n134 + n2*n25)*pow(n129, n20)*n27*n34*pow(n43, n20)*n67 + n125) + pow(n171, n20)*n58*n75*xF[6]*(pow(alpha, NP0*n2 - n134*n14)*n132*n14*n19 + pow(alpha, -n134*n14 + n2*n25)*pow(n129, n20)*n14*n19*n27*pow(n43, n20)*n67 + pow(alpha, -n134*n14 + n2*n25)*pow(n129, n20)*n27*n36*pow(n43, n20)*n67 + n27*n36*n87) + n195*n58*n72*(pow(alpha, NP0*n2 - n11*n134)*n11*n132*n19 + pow(alpha, -n11*n134 + n2*n25)*n11*pow(n129, n20)*n19*n27*pow(n43, n20)*n67 + pow(alpha, -n11*n134 + n2*n25)*pow(n129, n20)*n27*n33*pow(n43, n20)*n67 + n27*n50*n61) + n196*n58*n80*(pow(alpha, NP0*n2 - n134*n14)*n131*n14*n3 + n3*n93)*(pow(alpha, NP0*n2 - n134*n14)*n131*n14*n41 + n41*n93) + n199*n58*n81*(pow(alpha, NP0*n2 - n12*n134)*n12*n131*n3 + n12*n96)*(pow(alpha, NP0*n2 - n12*n134)*n12*n131*n41 + n12*n41*n51) - n205*n58*xF[1]*(pow(alpha, NP0*n2 - n134*n9)*n131*n60 + n48*n60)*(pow(alpha, NP0*n2 - n134*n9)*n131*n41*n9 + n107*n41) + n207*n58*(pow(alpha, NP0*n2 - n13*n134)*n13*n132*n2 + pow(alpha, -n13*n134 + n2*n25)*pow(n129, n20)*n13*n2*n27*pow(n43, n20)*n67 - pow(alpha, -n13*n134 + n2*n25)*pow(n129, n20)*pow(n43, n20)*n67*n95 + n52*n95) + n208*n58*(pow(alpha, NP0*n2 - n134*n15)*n131*n63 + n54*n63)*(pow(alpha, NP0*n2 - n134*n15)*n131*n15*n41 + n110*n41) + n209*n58*(pow(alpha, NP0*n2 - n134*n9)*n132*n2*n9 - pow(alpha, -n134*n9 + n2*n25)*n105*pow(n129, n20)*pow(n43, n20)*n67 + pow(alpha, -n134*n9 + n2*n25)*pow(n129, n20)*n2*n27*pow(n43, n20)*n67*n9 + n105*n48) + n213 + n214 + n215 + n216 + n217 + n218 + n219 + n220 + n221 + n222 + n223 + n224 + n225 + n273 + n274 + n275 + n276 + n277 + n278 + n279 + n280 + n281 + n282 + n283 + n284 + n285 + n58*n79*xF[3]*(pow(alpha, NP0*n2 - n11*n134)*n11*n131*n3 + n3*n92)*(pow(alpha, NP0*n2 - n11*n134)*n11*n131*n41 + n41*n92)/n181 - n58*n91*(pow(alpha, NP0*n2 - n134*n7)*n131*n3*n7 + n119)*(pow(alpha, NP0*n2 - n134*n7)*n131*n41*n7 + n41*n46*n7)/n177) - n1*n287 - 4.0*n102*n266*n58 + 4.0*n259*n58*n89/n90) + pow(-n102*n259*n58 - n212 - n25*(-n0*n102*pow(n162, n20)*n58*(-pow(alpha, NP0*n2 - n134*n2)*n131*n97 + n82*n97) + n0*n102*n58*(pow(alpha, NP0*n2 - n134*n2)*n131/n90 + n42/n90)*(pow(alpha, NP0*n2 - n134*n2)*n1*n131*n19*n3 + n1*n19*n3*n42)/n175 + n0*xTj*(n101*pow(n167, n20)*n58*(pow(alpha, NP0*n2 - n10*n134)*n10*n132*n19 + pow(alpha, -n10*n134 + n2*n25)*n10*pow(n129, n20)*n19*n27*pow(n43, n20)*n67 + pow(alpha, -n10*n134 + n2*n25)*pow(n129, n20)*n27*n32*pow(n43, n20)*n67 + n27*n32*n85) - n101*n58*(pow(alpha, NP0*n2 - n10*n134)*n10*n131*n3 + n100*n3)*(pow(alpha, NP0*n2 - n10*n134)*n10*n131*n41 + n100*n41)/n180 + n102*pow(n162, n20)*n58*(-pow(alpha, NP0*n2 - n134*n2)*n131*n97 + n82*n97) - n102*n58*(pow(alpha, NP0*n2 - n134*n2)*n131/n90 + n42/n90)*(pow(alpha, NP0*n2 - n134*n2)*n1*n131*n19*n3 + n1*n19*n3*n42)/n175 - n108*n58*(pow(alpha, NP0*n2 - n13*n134)*n131*n59 + n52*n59)*(pow(alpha, NP0*n2 - n13*n134)*n13*n131*n41 + n13*n41*n52)/n183 + n113*n58*(pow(alpha, NP0*n2 - n134*n8)*n131*n3*n8 + n109*n3)*(pow(alpha, NP0*n2 - n134*n8)*n131*n41*n8 + n109*n41)/n178 + n114*pow(n174, n20)*n58*(pow(alpha, NP0*n2 - n134*n17)*n132*n17*n2 - pow(alpha, -n134*n17 + n2*n25)*n111*pow(n129, n20)*pow(n43, n20)*n67 + pow(alpha, -n134*n17 + n2*n25)*pow(n129, n20)*n17*n2*n27*pow(n43, n20)*n67 + n111*n56) + n114*n58*(pow(alpha, NP0*n2 - n134*n17)*n131*n17*n3 + n103*n3)*(pow(alpha, NP0*n2 - n134*n17)*n131*n17*n41 + n103*n41)/n187 + n116*pow(n163, n20)*n58*(pow(alpha, NP0*n2 - n134*n6)*n132*n2*n6 + pow(alpha, -n134*n6 + n2*n25)*pow(n129, n20)*n2*n27*pow(n43, n20)*n6*n67 - pow(alpha, -n134*n6 + n2*n25)*pow(n129, n20)*n27*n28*pow(n43, n20)*n67 + n126) + n116*n58*(pow(alpha, NP0*n2 - n134*n6)*n131*n3*n6 + n106*n3)*(pow(alpha, NP0*n2 - n134*n6)*n131*n41*n6 + n106*n41)/n176 + n117*pow(n173, n20)*n58*(pow(alpha, NP0*n2 - n134*n16)*n132*n16*n2 + pow(alpha, -n134*n16 + n2*n25)*pow(n129, n20)*n16*n2*n27*pow(n43, n20)*n67 - pow(alpha, -n134*n16 + n2*n25)*pow(n129, n20)*n27*n38*pow(n43, n20)*n67 + n124) + n117*n58*(pow(alpha, NP0*n2 - n134*n16)*n131*n16*n3 + n3*n94)*(pow(alpha, NP0*n2 - n134*n16)*n131*n16*n41 + n41*n94)/n186 + n118*pow(n172, n20)*n58*(pow(alpha, NP0*n2 - n134*n15)*n132*n15*n2 + pow(alpha, -n134*n15 + n2*n25)*pow(n129, n20)*n15*n2*n27*pow(n43, n20)*n67 - pow(alpha, -n134*n15 + n2*n25)*pow(n129, n20)*pow(n43, n20)*n67*n99 + n54*n99) - pow(n164, n20)*n58*n91*(pow(alpha, NP0*n2 - n134*n7)*n132*n2*n7 + pow(alpha, -n134*n7 + n2*n25)*pow(n129, n20)*n2*n27*pow(n43, n20)*n67*n7 - pow(alpha, -n134*n7 + n2*n25)*pow(n129, n20)*n27*n29*pow(n43, n20)*n67 + n122) + pow(n165, n20)*n58*n69*xF[12]*(pow(alpha, NP0*n2 - n134*n8)*n132*n19*n8 + pow(alpha, -n134*n8 + n2*n25)*n104*pow(n129, n20)*pow(n43, n20)*n67 + pow(alpha, -n134*n8 + n2*n25)*pow(n129, n20)*n19*n27*pow(n43, n20)*n67*n8 + n104*n84) + pow(n169, n20)*n58*n81*xF[4]*(pow(alpha, NP0*n2 - n12*n134)*n12*n132*n2 + pow(alpha, -n12*n134 + n2*n25)*n12*pow(n129, n20)*n2*n27*pow(n43, n20)*n67 - pow(alpha, -n12*n134 + n2*n25)*pow(n129, n20)*n27*n34*pow(n43, n20)*n67 + n125) + pow(n171, n20)*n58*n75*xF[6]*(pow(alpha, NP0*n2 - n134*n14)*n132*n14*n19 + pow(alpha, -n134*n14 + n2*n25)*pow(n129, n20)*n14*n19*n27*pow(n43, n20)*n67 + pow(alpha, -n134*n14 + n2*n25)*pow(n129, n20)*n27*n36*pow(n43, n20)*n67 + n27*n36*n87) + n195*n58*n72*(pow(alpha, NP0*n2 - n11*n134)*n11*n132*n19 + pow(alpha, -n11*n134 + n2*n25)*n11*pow(n129, n20)*n19*n27*pow(n43, n20)*n67 + pow(alpha, -n11*n134 + n2*n25)*pow(n129, n20)*n27*n33*pow(n43, n20)*n67 + n27*n50*n61) + n196*n58*n80*(pow(alpha, NP0*n2 - n134*n14)*n131*n14*n3 + n3*n93)*(pow(alpha, NP0*n2 - n134*n14)*n131*n14*n41 + n41*n93) + n199*n58*n81*(pow(alpha, NP0*n2 - n12*n134)*n12*n131*n3 + n12*n96)*(pow(alpha, NP0*n2 - n12*n134)*n12*n131*n41 + n12*n41*n51) - n205*n58*xF[1]*(pow(alpha, NP0*n2 - n134*n9)*n131*n60 + n48*n60)*(pow(alpha, NP0*n2 - n134*n9)*n131*n41*n9 + n107*n41) + n207*n58*(pow(alpha, NP0*n2 - n13*n134)*n13*n132*n2 + pow(alpha, -n13*n134 + n2*n25)*pow(n129, n20)*n13*n2*n27*pow(n43, n20)*n67 - pow(alpha, -n13*n134 + n2*n25)*pow(n129, n20)*pow(n43, n20)*n67*n95 + n52*n95) + n208*n58*(pow(alpha, NP0*n2 - n134*n15)*n131*n63 + n54*n63)*(pow(alpha, NP0*n2 - n134*n15)*n131*n15*n41 + n110*n41) + n209*n58*(pow(alpha, NP0*n2 - n134*n9)*n132*n2*n9 - pow(alpha, -n134*n9 + n2*n25)*n105*pow(n129, n20)*pow(n43, n20)*n67 + pow(alpha, -n134*n9 + n2*n25)*pow(n129, n20)*n2*n27*pow(n43, n20)*n67*n9 + n105*n48) + n213 + n214 + n215 + n216 + n217 + n218 + n219 + n220 + n221 + n222 + n223 + n224 + n225 + n273 + n274 + n275 + n276 + n277 + n278 + n279 + n280 + n281 + n282 + n283 + n284 + n285 + n58*n79*xF[3]*(pow(alpha, NP0*n2 - n11*n134)*n11*n131*n3 + n3*n92)*(pow(alpha, NP0*n2 - n11*n134)*n11*n131*n41 + n41*n92)/n181 - n58*n91*(pow(alpha, NP0*n2 - n134*n7)*n131*n3*n7 + n119)*(pow(alpha, NP0*n2 - n134*n7)*n131*n41*n7 + n41*n46*n7)/n177) + 1.0*pow(n162, n20)*n58*n89*(pow(alpha, NP0*n2 - n134*n2)*n131/n90 + n42/n90)/n90 + n226) - n311, -n1);
      NP_sqrt_base = fabs(NP_sqrt_base);
      NP1 = (-NP_b - pow(NP_sqrt_base, -n0))/NP_2a;
      NT1 = n90*(n130 - log(-pow(alpha, NP1*n2)*n120 + 1));
      g0 = MW[1] - Mstar;
      g1 = MW[0] - Mstar;
      g2 = NT1 + 1;
      g3 = xPj - xTj;
      g4 = MW[10] - Mstar;
      g5 = MW[11] - Mstar;
      g6 = MW[12] - Mstar;
      g7 = MW[2] - Mstar;
      g8 = MW[3] - Mstar;
      g9 = MW[4] - Mstar;
      g10 = MW[5] - Mstar;
      g11 = MW[6] - Mstar;
      g12 = MW[7] - Mstar;
      g13 = MW[8] - Mstar;
      g14 = MW[9] - Mstar;
      g15 = xF[0] - xTj;
      g16 = xF[0] - xPj;
      g17 = -xTj;
      g18 = xPj/xF[1];
      g19 = pow(alpha, -g1);
      g20 = pow(alpha, -g4);
      g21 = pow(alpha, -g5);
      g22 = pow(alpha, -g6);
      g23 = pow(alpha, -g0);
      g24 = pow(alpha, -g7);
      g25 = pow(alpha, -g8);
      g26 = pow(alpha, -g9);
      g27 = pow(alpha, -g10);
      g28 = pow(alpha, -g11);
      g29 = pow(alpha, -g12);
      g30 = pow(alpha, -g13);
      g31 = pow(alpha, -g14);
      g32 = log(xF[0]/xF[1]);
      g33 = -g2;
      g34 = pow(alpha, NP1*g0);
      g35 = pow(alpha, NP1*g1);
      g36 = pow(alpha, NP1*g4);
      g37 = log(g19);
      g38 = pow(alpha, NP1*g5);
      g39 = pow(alpha, NP1*g6);
      g40 = pow(alpha, NP1*g7);
      g41 = pow(alpha, NP1*g8);
      g42 = pow(alpha, NP1*g9);
      g43 = pow(alpha, NP1*g10);
      g44 = pow(alpha, NP1*g11);
      g45 = pow(alpha, NP1*g12);
      g46 = pow(alpha, NP1*g13);
      g47 = pow(alpha, NP1*g14);
      g48 = -g32;
      g49 = g15/g3;
      g50 = g3/g15;
      g51 = -g34 + 1;
      g52 = -g34 + 1;
      g53 = -g35 + 1;
      g54 = -g40 + 1;
      g55 = -g41 + 1;
      g56 = -g42 + 1;
      g57 = -g43 + 1;
      g58 = -g44 + 1;
      g59 = -g45 + 1;
      g60 = -g46 + 1;
      g61 = -g47 + 1;
      g62 = -g36 + 1;
      g63 = -g38 + 1;
      g64 = -g39 + 1;
      g65 = -g35;
      g66 = -g36;
      g67 = -g38;
      g68 = -g39;
      g69 = -g40;
      g70 = -g41;
      g71 = -g42;
      g72 = -g43;
      g73 = -g44;
      g74 = -g45;
      g75 = -g46;
      g76 = -g47;
      g77 = -1.0*g32;
      g78 = -g3/g16;
      g79 = g16/(g3*xF[1]);
      g80 = pow(alpha, g0*g33) - 1;
      g81 = pow(alpha, g0*g33) - 1;
      g82 = pow(alpha, g1*g33) - 1;
      g83 = pow(alpha, g33*g7) - 1;
      g84 = pow(alpha, g33*g8) - 1;
      g85 = pow(alpha, g33*g9) - 1;
      g86 = pow(alpha, g10*g33) - 1;
      g87 = pow(alpha, g11*g33) - 1;
      g88 = pow(alpha, g12*g33) - 1;
      g89 = pow(alpha, g13*g33) - 1;
      g90 = pow(alpha, g14*g33) - 1;
      g91 = pow(alpha, g33*g4) - 1;
      g92 = pow(alpha, g33*g5) - 1;
      g93 = pow(alpha, g33*g6) - 1;
      g94 = -pow(alpha, g1*g33);
      g95 = -pow(alpha, g33*g4);
      g96 = -pow(alpha, g33*g5);
      g97 = -pow(alpha, g33*g6);
      g98 = -pow(alpha, g33*g7);
      g99 = -pow(alpha, g33*g8);
      g100 = -pow(alpha, g33*g9);
      g101 = -pow(alpha, g10*g33);
      g102 = -pow(alpha, g11*g33);
      g103 = -pow(alpha, g12*g33);
      g104 = -pow(alpha, g13*g33);
      g105 = -pow(alpha, g14*g33);
      g106 = g52 + g81;
      g107 = -g35 - g94;
      g108 = -g36 - g95;
      g109 = -g38 - g96;
      g110 = -g39 - g97;
      g111 = -g40 - g98;
      g112 = -g41 - g99;
      g113 = -g100 - g42;
      g114 = -g101 - g43;
      g115 = -g102 - g44;
      g116 = -g103 - g45;
      g117 = -g104 - g46;
      g118 = -g105 - g47;
      g119 = pow(alpha, g1*g33) + g65;
      g120 = g52 + g81;
      g121 = pow(alpha, g33*g4) + g66;
      g122 = pow(alpha, g33*g5) + g67;
      g123 = pow(alpha, g33*g6) + g68;
      g124 = pow(alpha, g33*g7) + g69;
      g125 = pow(alpha, g33*g8) + g70;
      g126 = pow(alpha, g33*g9) + g71;
      g127 = pow(alpha, g10*g33) + g72;
      g128 = pow(alpha, g11*g33) + g73;
      g129 = pow(alpha, g12*g33) + g74;
      g130 = pow(alpha, g13*g33) + g75;
      g131 = pow(alpha, g14*g33) + g76;
      g132 = xF[11]/g122;
      g133 = xF[9]/g131;
      g134 = xF[8]/g130;
      g135 = xF[1]/g120;
      g136 = xF[10]/g121;
      g137 = xF[3]/g125;
      g138 = xF[7]/g129;
      g139 = xF[4]/g126;
      g140 = xF[12]/g123;
      g141 = xF[6]/g128;
      g142 = xF[5]/g127;
      g143 = xF[2]/g124;
      g144 = xF[0]/g119;
      g145 = xF[1]/g106;
      g146 = xF[0]/g107;
      g147 = xF[4]/g113;
      g148 = xF[7]/g116;
      g149 = xF[2]/g111;
      g150 = xF[11]/g109;
      g151 = xF[3]/g112;
      g152 = xF[6]/g115;
      g153 = xF[8]/g117;
      g154 = xF[12]/g110;
      g155 = xF[10]/g108;
      g156 = xF[9]/g118;
      g157 = xF[5]/g114;
      g158 = g58/g115;
      g159 = g61/g118;
      g160 = g56/g113;
      g161 = g59/g116;
      g162 = g53/g107;
      g163 = g57/g114;
      g164 = g64/g110;
      g165 = g55/g112;
      g166 = g51/g106;
      g167 = g63/g109;
      g168 = g54/g111;
      g169 = g62/g108;
      g170 = g60/g117;
      g171 = g80/g106;
      g172 = g82/g107;
      g173 = g92/g109;
      g174 = g83/g111;
      g175 = g84/g112;
      g176 = g85/g113;
      g177 = g89/g117;
      g178 = g90/g118;
      g179 = g87/g115;
      g180 = g93/g110;
      g181 = g88/g116;
      g182 = g91/g108;
      g183 = g86/g114;
      g184 = log(g120*g17*g79/g52);
      g185 = log(g106*g17*g79/g51);
      g186 = log(g120*g18*g49/g81);
      g187 = 1.0*g184;
      g188 = log(g106*g18*g49/g80);
      g189 = 1.0*g186;
      g190 = -g132*g187*(g67 + 1) - g132*g189*(pow(alpha, g33*g5) - 1) - g133*g187*(g76 + 1) - g133*g189*(pow(alpha, g14*g33) - 1) - g134*g187*(g75 + 1) - g134*g189*(pow(alpha, g13*g33) - 1) - g135*g187*g52 - g135*g189*g81 - g136*g187*(g66 + 1) - g136*g189*(pow(alpha, g33*g4) - 1) - g137*g187*(g70 + 1) - g137*g189*(pow(alpha, g33*g8) - 1) - g138*g187*(g74 + 1) - g138*g189*(pow(alpha, g12*g33) - 1) - g139*g187*(g71 + 1) - g139*g189*(pow(alpha, g33*g9) - 1) - g140*g187*(g68 + 1) - g140*g189*(pow(alpha, g33*g6) - 1) - g141*g187*(g73 + 1) - g141*g189*(pow(alpha, g11*g33) - 1) - g142*g187*(g72 + 1) - g142*g189*(pow(alpha, g10*g33) - 1) - g143*g187*(g69 + 1) - g143*g189*(pow(alpha, g33*g7) - 1) - g144*g187*(g65 + 1) - g144*g189*(pow(alpha, g1*g33) - 1) - g77*xF[0] - g77*xF[10] - g77*xF[11] - g77*xF[12] - g77*xF[1] - g77*xF[2] - g77*xF[3] - g77*xF[4] - g77*xF[5] - g77*xF[6] - g77*xF[7] - g77*xF[8] - g77*xF[9];
      LpF = xF[0]*(g19 + 1.0)*(g162*g185 + g172*g188 + g48)/(g37*(g19 - 1.0)) + xF[10]*(g20 + 1.0)*(g169*g185 + g182*g188 + g48)/(g37*(g20 - 1.0)) + xF[11]*(g21 + 1.0)*(g167*g185 + g173*g188 + g48)/(g37*(g21 - 1.0)) + xF[12]*(g22 + 1.0)*(g164*g185 + g180*g188 + g48)/(g37*(g22 - 1.0)) + xF[1]*(g23 + 1.0)*(g166*g185 + g171*g188 + g48)/(g37*(g23 - 1.0)) + xF[2]*(g24 + 1.0)*(g168*g185 + g174*g188 + g48)/(g37*(g24 - 1.0)) + xF[3]*(g25 + 1.0)*(g165*g185 + g175*g188 + g48)/(g37*(g25 - 1.0)) + xF[4]*(g26 + 1.0)*(g160*g185 + g176*g188 + g48)/(g37*(g26 - 1.0)) + xF[5]*(g27 + 1.0)*(g163*g185 + g183*g188 + g48)/(g37*(g27 - 1.0)) + xF[6]*(g28 + 1.0)*(g158*g185 + g179*g188 + g48)/(g37*(g28 - 1.0)) + xF[7]*(g29 + 1.0)*(g161*g185 + g181*g188 + g48)/(g37*(g29 - 1.0)) + xF[8]*(g30 + 1.0)*(g170*g185 + g177*g188 + g48)/(g37*(g30 - 1.0)) + xF[9]*(g31 + 1.0)*(g159*g185 + g178*g188 + g48)/(g37*(g31 - 1.0));
      PpF = g49;
      TpF = -g16/g3;
      SWUpF = g190;
      SWUpP = g190*g50;
      xP[0] = g146*g50*g82;
      xP[1] = g145*g50*g80;
      xP[2] = g149*g50*g83;
      xP[3] = g151*g50*g84;
      xP[4] = g147*g50*g85;
      xP[5] = g157*g50*g86;
      xP[6] = g152*g50*g87;
      xP[7] = g148*g50*g88;
      xP[8] = g153*g50*g89;
      xP[9] = g156*g50*g90;
      xP[10] = g155*g50*g91;
      xP[11] = g150*g50*g92;
      xP[12] = g154*g50*g93;
      xT[0] = g146*g53*g78;
      xT[1] = g145*g51*g78;
      xT[2] = g149*g54*g78;
      xT[3] = g151*g55*g78;
      xT[4] = g147*g56*g78;
      xT[5] = g157*g57*g78;
      xT[6] = g152*g58*g78;
      xT[7] = g148*g59*g78;
      xT[8] = g153*g60*g78;
      xT[9] = g156*g61*g78;
      xT[10] = g155*g62*g78;
      xT[11] = g150*g63*g78;
      xT[12] = g154*g64*g78;
      break;
    case 14:
      n0 = -0.500000000000000;
      n1 = MW[0] - Mstar;
      n2 = log(alpha);
      n3 = xPj - xTj;
      n4 = xF[0] - xPj;
      n5 = MW[10] - Mstar;
      n6 = MW[11] - Mstar;
      n7 = MW[12] - Mstar;
      n8 = MW[13] - Mstar;
      n9 = MW[1] - Mstar;
      n10 = MW[2] - Mstar;
      n11 = MW[3] - Mstar;
      n12 = MW[4] - Mstar;
      n13 = MW[5] - Mstar;
      n14 = MW[6] - Mstar;
      n15 = MW[7] - Mstar;
      n16 = MW[8] - Mstar;
      n17 = MW[9] - Mstar;
      n18 = log(xTj);
      n19 = -n1;
      n20 = -2;
      n21 = xF[0]*xPj;
      n22 = -Mstar;
      n23 = -xTj;
      n24 = -NP0*n20;
      n25 = -xPj;
      n26 = -n20*xF[12];
      n27 = pow(n1, -n20);
      n28 = pow(n2, -n20);
      n29 = pow(n5, -n20);
      n30 = pow(n6, -n20);
      n31 = pow(n7, -n20);
      n32 = pow(n8, -n20);
      n33 = pow(n9, -n20);
      n34 = pow(n10, -n20);
      n35 = pow(n11, -n20);
      n36 = pow(n12, -n20);
      n37 = pow(n13, -n20);
      n38 = pow(n14, -n20);
      n39 = pow(n15, -n20);
      n40 = pow(n16, -n20);
      n41 = pow(n17, -n20);
      n42 = Mstar*n2;
      n43 = -n2*n20;
      n44 = pow(alpha, NP0*n1);
      n45 = n21 + n23*xF[0];
      n46 = n21 + n23*xPj;
      n47 = pow(alpha, NP0*n5);
      n48 = pow(alpha, NP0*n6);
      n49 = pow(alpha, NP0*n7);
      n50 = pow(alpha, NP0*n8);
      n51 = pow(alpha, NP0*n9);
      n52 = pow(alpha, NP0*n10);
      n53 = pow(alpha, NP0*n11);
      n54 = pow(alpha, NP0*n12);
      n55 = pow(alpha, NP0*n13);
      n56 = pow(alpha, NP0*n14);
      n57 = pow(alpha, NP0*n15);
      n58 = pow(alpha, NP0*n16);
      n59 = pow(alpha, NP0*n17);
      n60 = -MW[0]*n2;
      n61 = n3/n4;
      n62 = n13*n2;
      n63 = n2*n9;
      n64 = n0*n1*n19;
      n65 = n10*n2;
      n66 = n1*n19;
      n67 = -n35;
      n68 = n15*n2;
      n69 = -n44 + 1;
      n70 = -n47 + 1;
      n71 = pow(alpha, n1*n24);
      n72 = pow(n45, -n20);
      n73 = pow(n46, -n20);
      n74 = -n48 + 1;
      n75 = -n49 + 1;
      n76 = -n50 + 1;
      n77 = -n51 + 1;
      n78 = -n52 + 1;
      n79 = -n53 + 1;
      n80 = -n54 + 1;
      n81 = -n55 + 1;
      n82 = -n56 + 1;
      n83 = -n57 + 1;
      n84 = -n58 + 1;
      n85 = -n59 + 1;
      n86 = -n79;
      n87 = -n82;
      n88 = -n70;
      n89 = -n74;
      n90 = -n44;
      n91 = -n49;
      n92 = -n50;
      n93 = -n52;
      n94 = -n54;
      n95 = -n55;
      n96 = -n56;
      n97 = 1/(n1*n2);
      n98 = n14*n56;
      n99 = n11*n53;
      n100 = n1*n44;
      n101 = n16*n58;
      n102 = n28*n37;
      n103 = n12*n54;
      n104 = n47*n5;
      n105 = n82*xF[6];
      n106 = n28*n39;
      n107 = n50*n8;
      n108 = n78*xF[2];
      n109 = n17*n59;
      n110 = n28*n34;
      n111 = n28*n31;
      n112 = n81*xF[5];
      n113 = n28*n33;
      n114 = n51*n9;
      n115 = n15*n57;
      n116 = log((-1.0 + xPj/xF[0])/n3);
      n117 = -n75*xF[12];
      n118 = n28*n44;
      n119 = -n85*xF[9];
      n120 = -n76*xF[13];
      n121 = n2*n48*n6;
      n122 = n2*n49*n7;
      n123 = n46/n45;
      n124 = n28*n71*xF[0];
      n125 = n28*n32*n50;
      n126 = n28*n40*n58;
      n127 = n28*n30*n48;
      n128 = n28*n29*n47;
      n129 = n28*n35*n53;
      n130 = n123*n90 + 1;
      n131 = pow(n130, -n20);
      n132 = n116 + n18 + n42 + n60;
      n133 = n123/n130;
      n134 = n133*n2*n44;
      n135 = n28*n71*n73/(n131*n72);
      n136 = n97*(n132 - log(n130)) + 1;
      n137 = pow(alpha, n1*n136);
      n138 = pow(alpha, n136*n5);
      n139 = pow(alpha, n136*n6);
      n140 = pow(alpha, n136*n7);
      n141 = pow(alpha, n136*n8);
      n142 = pow(alpha, n136*n9);
      n143 = pow(alpha, n10*n136);
      n144 = pow(alpha, n11*n136);
      n145 = pow(alpha, n12*n136);
      n146 = pow(alpha, n13*n136);
      n147 = pow(alpha, n136*n14);
      n148 = pow(alpha, n136*n15);
      n149 = pow(alpha, n136*n16);
      n150 = pow(alpha, n136*n17);
      n151 = n7/n140;
      n152 = n12/n145;
      n153 = n15/n148;
      n154 = n17/n150;
      n155 = n8/n141;
      n156 = n11/n144;
      n157 = n14/n147;
      n158 = n16/n149;
      n159 = n6/n139;
      n160 = n9/n142;
      n161 = n10/n143;
      n162 = -1/n137;
      n163 = n5/n138;
      n164 = n13/n146;
      n165 = n44/n146;
      n166 = pow(alpha, n136*n19) + n69 - 1;
      n167 = n70 - 1 + 1.0/n138;
      n168 = n74 - 1 + 1.0/n139;
      n169 = n75 - 1 + 1.0/n140;
      n170 = n76 - 1 + 1.0/n141;
      n171 = n77 - 1 + 1.0/n142;
      n172 = n78 - 1 + 1.0/n143;
      n173 = n79 - 1 + 1.0/n144;
      n174 = n80 - 1 + 1.0/n145;
      n175 = n81 - 1 + 1.0/n146;
      n176 = n82 - 1 + 1.0/n147;
      n177 = n83 - 1 + 1.0/n148;
      n178 = n84 - 1 + 1.0/n149;
      n179 = n85 - 1 + 1.0/n150;
      n180 = pow(n166, -n20);
      n181 = pow(n167, -n20);
      n182 = pow(n168, -n20);
      n183 = pow(n169, -n20);
      n184 = pow(n170, -n20);
      n185 = pow(n171, -n20);
      n186 = pow(n172, -n20);
      n187 = pow(n173, -n20);
      n188 = pow(n174, -n20);
      n189 = pow(n175, -n20);
      n190 = pow(n176, -n20);
      n191 = pow(n177, -n20);
      n192 = pow(n178, -n20);
      n193 = pow(n179, -n20);
      n194 = pow(n166, 3);
      n195 = pow(n167, 3);
      n196 = pow(n168, 3);
      n197 = pow(n169, 3);
      n198 = pow(n170, 3);
      n199 = pow(n171, 3);
      n200 = pow(n172, 3);
      n201 = pow(n173, 3);
      n202 = pow(n174, 3);
      n203 = pow(n175, 3);
      n204 = pow(n176, 3);
      n205 = pow(n177, 3);
      n206 = pow(n178, 3);
      n207 = pow(n179, 3);
      n208 = xF[11]/n168;
      n209 = xF[12]/n169;
      n210 = xF[0]/n166;
      n211 = xF[10]/n167;
      n212 = xF[13]/n170;
      n213 = xF[9]/n179;
      n214 = xF[8]/n178;
      n215 = xF[3]/n173;
      n216 = xF[3]/n187;
      n217 = xF[6]/n204;
      n218 = xF[10]/n181;
      n219 = n2*xF[4]/n174;
      n220 = n2*n215;
      n221 = n2/n180;
      n222 = n2*xF[6]/n176;
      n223 = n55*xF[5]/n175;
      n224 = n51*xF[1]/n171;
      n225 = n57*xF[7]/n177;
      n226 = n52*xF[2]/n172;
      n227 = n69/n194;
      n228 = n69/n180;
      n229 = n77/n199;
      n230 = n80*xF[4]/n188;
      n231 = n80*xF[4]/n202;
      n232 = -n112/n189;
      n233 = -n83*xF[7]/n205;
      n234 = -n77*xF[1]/n185;
      n235 = -n83*xF[7]/n191;
      n236 = -n84*xF[8]/n192;
      n237 = n213*n28*n41*n59;
      n238 = n28*n36*n54*xF[4]/n174;
      n239 = n28*n38*n56*xF[6]/n176;
      n240 = n19*n2*n210*n44*n61;
      n241 = n118*n210*n27*n61;
      n242 = n128*n211*n61;
      n243 = n127*n208*n61;
      n244 = n111*n209*n49*n61;
      n245 = n125*n212*n61;
      n246 = n113*n224*n61;
      n247 = n110*n226*n61;
      n248 = n129*n215*n61;
      n249 = n238*n61;
      n250 = n102*n223*n61;
      n251 = n239*n61;
      n252 = n106*n225*n61;
      n253 = n126*n214*n61;
      n254 = n237*n61;
      n255 = n118*n210*n61*n64;
      n256 = n133/n137 + 1;
      n257 = n100*n133*n2/n137 + n100*n2;
      n258 = n104*n2 + n134*n163;
      n259 = n121 + n134*n159;
      n260 = n122 + n134*n151;
      n261 = n107*n2 + n134*n155;
      n262 = n133*n44*n63/n142 + n51*n63;
      n263 = n133*n44*n65/n143 + n52*n65;
      n264 = n134*n156 + n2*n99;
      n265 = n103*n2 + n134*n152;
      n266 = n133*n165*n62 + n55*n62;
      n267 = n134*n157 + n2*n98;
      n268 = n133*n44*n68/n148 + n57*n68;
      n269 = n101*n2 + n134*n158;
      n270 = n109*n2 + n134*n154;
      n271 = pow(n257, -n20);
      n272 = pow(n258, -n20);
      n273 = pow(n259, -n20);
      n274 = pow(n260, -n20);
      n275 = pow(n261, -n20);
      n276 = pow(n262, -n20);
      n277 = pow(n263, -n20);
      n278 = pow(n264, -n20);
      n279 = pow(n265, -n20);
      n280 = pow(n266, -n20);
      n281 = pow(n267, -n20);
      n282 = pow(n268, -n20);
      n283 = pow(n269, -n20);
      n284 = pow(n270, -n20);
      n285 = n257*xF[0];
      n286 = n259*xF[11];
      n287 = n262*xF[1];
      n288 = n269*xF[8];
      n289 = n100*n133*n43/n137 + n100*n43;
      n290 = n271*xF[0];
      n291 = n276*xF[1];
      n292 = n118*n133*n66/n137 + n118*n66;
      n293 = n292*xF[0];
      n294 = n260/n183;
      n295 = n270/n193;
      n296 = n261/n184;
      n297 = n267*xF[6]/n190;
      n298 = n277/n200;
      n299 = n280/n203;
      n300 = n283*n84*xF[8]/n206;
      n301 = n273*n74*xF[11]/n196;
      n302 = n228*n285*n61;
      n303 = n100*n43*n61*xF[0]*(pow(alpha, NP0*n1 - n1*n136)*n1*n133*n2 + n100*n2)/n180;
      n304 = n104*n218*n43*n61*(pow(alpha, NP0*n1 - n136*n5)*n133*n2*n5 + n104*n2);
      n305 = n43*n48*n6*n61*xF[11]*(pow(alpha, NP0*n1 - n136*n6)*n133*n2*n6 + n121)/n182;
      n306 = n122*n26*n61*(pow(alpha, NP0*n1 - n136*n7)*n133*n2*n7 + n122)/n183;
      n307 = n107*n43*n61*xF[13]*(pow(alpha, NP0*n1 - n136*n8)*n133*n2*n8 + n107*n2)/n184;
      n308 = n114*n43*n61*xF[1]*(pow(alpha, NP0*n1 - n136*n9)*n133*n63 + n51*n63)/n185;
      n309 = n10*n43*n52*n61*xF[2]*(pow(alpha, NP0*n1 - n10*n136)*n133*n65 + n52*n65)/n186;
      n310 = n216*n43*n61*n99*(pow(alpha, NP0*n1 - n11*n136)*n11*n133*n2 + n2*n99);
      n311 = n103*n43*n61*xF[4]*(pow(alpha, NP0*n1 - n12*n136)*n12*n133*n2 + n103*n2)/n188;
      n312 = n13*n43*n55*n61*xF[5]*(pow(alpha, NP0*n1 - n13*n136)*n133*n62 + n55*n62)/n189;
      n313 = n43*n61*n98*xF[6]*(pow(alpha, NP0*n1 - n136*n14)*n133*n14*n2 + n2*n98)/n190;
      n314 = n115*n43*n61*xF[7]*(pow(alpha, NP0*n1 - n136*n15)*n133*n68 + n57*n68)/n191;
      n315 = n101*n43*n61*xF[8]*(pow(alpha, NP0*n1 - n136*n16)*n133*n16*n2 + n101*n2)/n192;
      n316 = n109*n43*n61*xF[9]*(pow(alpha, NP0*n1 - n136*n17)*n133*n17*n2 + n109*n2)/n193;
      n317 = 1.0*n100*n221*n285*n61;
      n318 = n228*n293*n61;
      n319 = -n0*n318;
      n320 = n1*n135*n159 + n100*n133*n159*n28 + n127 - n135*n30/n139;
      n321 = n111*n91 + n111*n71*n73/(n131*n140*n72) + n118*n133*n151*n19 + n135*n151*n19;
      n322 = n118*n133*n155*n19 + n135*n155*n19 + n135*n32/n141 + n28*n32*n92;
      n323 = n110*n93 + n110*n71*n73/(n131*n143*n72) + n118*n133*n161*n19 + n135*n161*n19;
      n324 = n118*n133*n157*n19 + n135*n157*n19 + n135*n38/n147 + n28*n38*n96;
      n325 = n1*n135*n154 + n100*n133*n154*n28 - n135*n41/n150 + n28*n41*n59;
      n326 = n61*n75*xF[12]*(pow(alpha, n1*n24 - n136*n7)*n111*n73/(n131*n72) + pow(alpha, n1*n24 - n136*n7)*n19*n28*n7*n73/(n131*n72) + n111*n91 + n118*n133*n151*n19)/n183;
      n327 = n61*n76*xF[13]*(pow(alpha, n1*n24 - n136*n8)*n19*n28*n73*n8/(n131*n72) + pow(alpha, n1*n24 - n136*n8)*n28*n32*n73/(n131*n72) + n118*n133*n155*n19 + n28*n32*n92)/n184;
      n328 = n108*n61*(pow(alpha, n1*n24 - n10*n136)*n10*n19*n28*n73/(n131*n72) + pow(alpha, n1*n24 - n10*n136)*n110*n73/(n131*n72) + n110*n93 + n118*n133*n161*n19)/n186;
      n329 = n230*n61*(pow(alpha, n1*n24 - n12*n136)*n12*n19*n28*n73/(n131*n72) + pow(alpha, n1*n24 - n12*n136)*n28*n36*n73/(n131*n72) + n118*n133*n152*n19 + n28*n36*n94);
      n330 = n105*n61*(pow(alpha, n1*n24 - n136*n14)*n14*n19*n28*n73/(n131*n72) + pow(alpha, n1*n24 - n136*n14)*n28*n38*n73/(n131*n72) + n118*n133*n157*n19 + n28*n38*n96)/n190;
      n331 = n218*n61*n88*(pow(alpha, n1*n24 - n136*n5)*n1*n28*n5*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n5)*n28*n29*n73/(n131*n72) + n100*n133*n163*n28 + n128);
      n332 = n61*n89*xF[11]*(pow(alpha, n1*n24 - n136*n6)*n1*n28*n6*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n6)*n28*n30*n73/(n131*n72) + n100*n133*n159*n28 + n127)/n182;
      n333 = n234*n61*(pow(alpha, n1*n24 - n136*n9)*n1*n28*n73*n9/(n131*n72) - pow(alpha, n1*n24 - n136*n9)*n113*n73/(n131*n72) + n100*n133*n160*n28 + n113*n51);
      n334 = n232*n61*(pow(alpha, n1*n24 - n13*n136)*n1*n13*n28*n73/(n131*n72) - pow(alpha, n1*n24 - n13*n136)*n102*n73/(n131*n72) + n100*n133*n164*n28 + n102*n55);
      n335 = n235*n61*(pow(alpha, n1*n24 - n136*n15)*n1*n15*n28*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n15)*n106*n73/(n131*n72) + n100*n133*n153*n28 + n106*n57);
      n336 = n236*n61*(pow(alpha, n1*n24 - n136*n16)*n1*n16*n28*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n16)*n28*n40*n73/(n131*n72) + n100*n133*n158*n28 + n126);
      n337 = n119*n61*(pow(alpha, n1*n24 - n136*n17)*n1*n17*n28*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n17)*n28*n41*n73/(n131*n72) + n100*n133*n154*n28 + n28*n41*n59)/n193;
      n338 = xTj*(n100*n2*n210*n61 + n101*n2*n214*n61 + n103*n219*n61 + n104*n2*n211*n61 + n107*n2*n212*n61 - n108*n263*n61/n186 + n109*n2*n213*n61 + n117*n294*n61 + n119*n295*n61 + n120*n296*n61 + n121*n208*n61 + n122*n209*n61 + n216*n264*n61*n86 + n218*n258*n61*n88 + n220*n61*n99 + n222*n61*n98 + n223*n61*n62 + n224*n61*n63 + n225*n61*n68 + n226*n61*n65 - n230*n265*n61 + n232*n266*n61 + n234*n262*n61 + n235*n268*n61 + n236*n269*n61 + n297*n61*n87 - n302 + n286*n61*n89/n182);
      n339 = n240 + n302 + n338;
      n340 = n241 + n242 + n243 + n244 + n245 + n246 + n247 + n248 + n249 + n250 + n251 + n252 + n253 + n254 + n303 + n304 + n305 + n306 + n307 + n308 + n309 + n310 + n311 + n312 + n313 + n314 + n315 + n316 + n318 + n326 + n327 + n328 + n329 + n330 + n331 + n332 + n333 + n334 + n335 + n336 + n337;
      n341 = -n108*n263*n61*(n10*n43*n52 + n133*n161*n43*n44)/n200 - n112*n266*n61*(n13*n43*n55 + n133*n164*n43*n44)/n203 + n117*n260*n61*(n133*n151*n43*n44 + n43*n49*n7)/n197 + n119*n270*n61*(n109*n43 + n133*n154*n43*n44)/n207 + n120*n261*n61*(n107*n43 + n133*n155*n43*n44)/n198 + n216*n61*n86*(pow(alpha, n1*n24 - n11*n136)*n1*n11*n28*n73/(n131*n72) + pow(alpha, n1*n24 - n11*n136)*n28*n67*n73/(n131*n72) + n100*n133*n156*n28 + n129) + n217*n267*n61*n87*(n133*n157*n43*n44 + n43*n98) - n227*n285*n289*n61 - n229*n287*n61*(n114*n43 + n133*n160*n43*n44) - n231*n265*n61*(n103*n43 + n133*n152*n43*n44) + n233*n268*n61*(n115*n43 + n133*n153*n43*n44) + n340 - n288*n61*n84*(n101*n43 + n133*n158*n43*n44)/n206 + n264*n61*n86*xF[3]*(n133*n156*n43*n44 + n43*n99)/n201 + n286*n61*n89*(n133*n159*n43*n44 + n43*n48*n6)/n196 + n258*n61*n88*xF[10]*(n104*n43 + n133*n163*n43*n44)/n195;
      NP_b = -n100*n221*n256*n61*n69*xF[0] - n24*(-n0*n228*n61*xF[0]*(pow(alpha, NP0*n1 - n1*n136)*n133*n28*n66 + n118*n66) + n0*xTj*(n105*n20*n281*n61/n204 + n105*n61*(pow(alpha, NP0*n1 - n136*n14)*n133*n14*n19*n28 + pow(alpha, n1*n24 - n136*n14)*n14*n19*n28*n73/(n131*n72) + pow(alpha, n1*n24 - n136*n14)*n28*n38*n73/(n131*n72) + n28*n38*n96)/n190 + n108*n20*n298*n61 + n108*n61*(pow(alpha, NP0*n1 - n10*n136)*n10*n133*n19*n28 + pow(alpha, n1*n24 - n10*n136)*n10*n19*n28*n73/(n131*n72) + pow(alpha, n1*n24 - n10*n136)*n110*n73/(n131*n72) + n110*n93)/n186 + n112*n20*n299*n61 + n119*n61*(pow(alpha, NP0*n1 - n136*n17)*n1*n133*n17*n28 + pow(alpha, n1*n24 - n136*n17)*n1*n17*n28*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n17)*n28*n41*n73/(n131*n72) + n28*n41*n59)/n193 + n20*n227*n290*n61 + n20*n229*n291*n61 + n20*n231*n279*n61 + n20*n300*n61 + n20*n301*n61 + n20*n284*n61*n85*xF[9]/n207 + n20*n282*n61*n83*xF[7]/n205 + n20*n278*n61*n79*xF[3]/n201 + n216*n61*n79*(pow(alpha, NP0*n1 - n11*n136)*n11*n133*n19*n28 + pow(alpha, n1*n24 - n11*n136)*n11*n19*n28*n73/(n131*n72) + pow(alpha, n1*n24 - n11*n136)*n28*n35*n73/(n131*n72) + n28*n53*n67) + n218*n61*n88*(pow(alpha, NP0*n1 - n136*n5)*n1*n133*n28*n5 + pow(alpha, n1*n24 - n136*n5)*n1*n28*n5*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n5)*n28*n29*n73/(n131*n72) + n128) + n228*n61*xF[0]*(pow(alpha, NP0*n1 - n1*n136)*n133*n28*n66 + n118*n66) + n230*n61*(pow(alpha, NP0*n1 - n12*n136)*n12*n133*n19*n28 + pow(alpha, n1*n24 - n12*n136)*n12*n19*n28*n73/(n131*n72) + pow(alpha, n1*n24 - n12*n136)*n28*n36*n73/(n131*n72) + n28*n36*n94) + n232*n61*(pow(alpha, NP0*n1 - n13*n136)*n1*n13*n133*n28 + pow(alpha, n1*n24 - n13*n136)*n1*n13*n28*n73/(n131*n72) - pow(alpha, n1*n24 - n13*n136)*n102*n73/(n131*n72) + n102*n55) + n234*n61*(pow(alpha, NP0*n1 - n136*n9)*n1*n133*n28*n9 + pow(alpha, n1*n24 - n136*n9)*n1*n28*n73*n9/(n131*n72) - pow(alpha, n1*n24 - n136*n9)*n113*n73/(n131*n72) + n113*n51) + n235*n61*(pow(alpha, NP0*n1 - n136*n15)*n1*n133*n15*n28 + pow(alpha, n1*n24 - n136*n15)*n1*n15*n28*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n15)*n106*n73/(n131*n72) + n106*n57) + n236*n61*(pow(alpha, NP0*n1 - n136*n16)*n1*n133*n16*n28 + pow(alpha, n1*n24 - n136*n16)*n1*n16*n28*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n16)*n28*n40*n73/(n131*n72) + n126) + n241 + n242 + n243 + n244 + n245 + n246 + n247 + n248 + n249 + n250 + n251 + n252 + n253 + n254 + n303 + n304 + n305 + n306 + n307 + n308 + n309 + n310 + n311 + n312 + n313 + n314 + n315 + n316 + n20*n275*n61*n76*xF[13]/n198 + n20*n274*n61*n75*xF[12]/n197 + n20*n272*n61*n70*xF[10]/n195 + n61*n76*xF[13]*(pow(alpha, NP0*n1 - n136*n8)*n133*n19*n28*n8 + pow(alpha, n1*n24 - n136*n8)*n19*n28*n73*n8/(n131*n72) + pow(alpha, n1*n24 - n136*n8)*n28*n32*n73/(n131*n72) + n28*n32*n92)/n184 + n61*n75*xF[12]*(pow(alpha, NP0*n1 - n136*n7)*n133*n19*n28*n7 + pow(alpha, n1*n24 - n136*n7)*n111*n73/(n131*n72) + pow(alpha, n1*n24 - n136*n7)*n19*n28*n7*n73/(n131*n72) + n111*n91)/n183 + n61*n89*xF[11]*(pow(alpha, NP0*n1 - n136*n6)*n1*n133*n28*n6 + pow(alpha, n1*n24 - n136*n6)*n1*n28*n6*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n6)*n28*n30*n73/(n131*n72) + n127)/n182) + 1.0*n100*n221*n61*xF[0]*(pow(alpha, NP0*n1 - n1*n136)*n1*n133*n2 + n100*n2) - 1.0*n227*n290*n61 + n255) - n240 - n61*xTj*(n100*n2*n210 + n101*n2*n214 + n103*n219 + n104*n2*n211 + n107*n2*n212 - n108*n263/n186 + n109*n2*n213 + n117*n294 + n119*n295 + n120*n296 + n121*n208 + n122*n209 + n216*n264*n86 + n218*n258*n88 + n220*n99 + n222*n98 + n223*n62 + n224*n63 + n225*n68 + n226*n65 - n228*n285 - n230*n265 + n232*n266 + n234*n262 + n235*n268 + n236*n269 + n297*n87 + n286*n89/n182);
      NP_2a = -n61*(-1.0*n118*n210*n27 + n118*n228*n66*xF[0]*(-1 + (-n21 + xPj*xTj)/(n130*n137*n45)) - n124*n20*n227*pow(n256, -n20)*n27 - 2.0*n124*n256*n27/n180 + 1.0*xTj*(n10*n43*n52*xF[2]*(pow(alpha, NP0*n1 - n10*n136)*n133*n65 + n52*n65)/n186 + n100*n43*xF[0]*(pow(alpha, NP0*n1 - n1*n136)*n1*n133*n2 + n100*n2)/n180 + n101*n43*xF[8]*(pow(alpha, NP0*n1 - n136*n16)*n133*n16*n2 + n101*n2)/n192 + n102*n223 + n103*n43*xF[4]*(pow(alpha, NP0*n1 - n12*n136)*n12*n133*n2 + n103*n2)/n188 + n104*n218*n43*(pow(alpha, NP0*n1 - n136*n5)*n133*n2*n5 + n104*n2) + n105*n20*n281/n204 + n105*(pow(alpha, n1*n24 - n136*n14)*n14*n19*n28*n73/(n131*n72) + pow(alpha, n1*n24 - n136*n14)*n28*n38*n73/(n131*n72) + n118*n133*n157*n19 + n28*n38*n96)/n190 + n106*n225 + n107*n43*xF[13]*(pow(alpha, NP0*n1 - n136*n8)*n133*n2*n8 + n107*n2)/n184 + n108*n20*n298 + n108*(pow(alpha, n1*n24 - n10*n136)*n10*n19*n28*n73/(n131*n72) + pow(alpha, n1*n24 - n10*n136)*n110*n73/(n131*n72) + n110*n93 + n118*n133*n161*n19)/n186 + n109*n43*xF[9]*(pow(alpha, NP0*n1 - n136*n17)*n133*n17*n2 + n109*n2)/n193 + n110*n226 + n111*n209*n49 + n112*n20*n299 + n113*n224 + n114*n43*xF[1]*(pow(alpha, NP0*n1 - n136*n9)*n133*n63 + n51*n63)/n185 + n115*n43*xF[7]*(pow(alpha, NP0*n1 - n136*n15)*n133*n68 + n57*n68)/n191 + n118*n210*n27 + n119*(pow(alpha, n1*n24 - n136*n17)*n1*n17*n28*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n17)*n28*n41*n73/(n131*n72) + n100*n133*n154*n28 + n28*n41*n59)/n193 + n122*n26*(pow(alpha, NP0*n1 - n136*n7)*n133*n2*n7 + n122)/n183 + n125*n212 + n126*n214 + n127*n208 + n128*n211 + n129*n215 + n13*n43*n55*xF[5]*(pow(alpha, NP0*n1 - n13*n136)*n133*n62 + n55*n62)/n189 + n20*n227*n290 + n20*n229*n291 + n20*n231*n279 + n20*n300 + n20*n301 + n20*n284*n85*xF[9]/n207 + n20*n282*n83*xF[7]/n205 + n20*n278*n79*xF[3]/n201 + n216*n43*n99*(pow(alpha, NP0*n1 - n11*n136)*n11*n133*n2 + n2*n99) + n216*n86*(pow(alpha, n1*n24 - n11*n136)*n1*n11*n28*n73/(n131*n72) + pow(alpha, n1*n24 - n11*n136)*n28*n67*n73/(n131*n72) + n100*n133*n156*n28 + n129) + n218*n88*(pow(alpha, n1*n24 - n136*n5)*n1*n28*n5*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n5)*n28*n29*n73/(n131*n72) + n100*n133*n163*n28 + n128) + n228*n293 + n230*(pow(alpha, n1*n24 - n12*n136)*n12*n19*n28*n73/(n131*n72) + pow(alpha, n1*n24 - n12*n136)*n28*n36*n73/(n131*n72) + n118*n133*n152*n19 + n28*n36*n94) + n232*(pow(alpha, n1*n24 - n13*n136)*n1*n13*n28*n73/(n131*n72) - pow(alpha, n1*n24 - n13*n136)*n102*n73/(n131*n72) + n100*n133*n164*n28 + n102*n55) + n234*(pow(alpha, n1*n24 - n136*n9)*n1*n28*n73*n9/(n131*n72) - pow(alpha, n1*n24 - n136*n9)*n113*n73/(n131*n72) + n100*n133*n160*n28 + n113*n51) + n235*(pow(alpha, n1*n24 - n136*n15)*n1*n15*n28*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n15)*n106*n73/(n131*n72) + n100*n133*n153*n28 + n106*n57) + n236*(pow(alpha, n1*n24 - n136*n16)*n1*n16*n28*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n16)*n28*n40*n73/(n131*n72) + n100*n133*n158*n28 + n126) + n237 + n238 + n239 + n20*n275*n76*xF[13]/n198 + n20*n274*n75*xF[12]/n197 + n20*n272*n70*xF[10]/n195 + n43*n98*xF[6]*(pow(alpha, NP0*n1 - n136*n14)*n133*n14*n2 + n2*n98)/n190 + n76*xF[13]*(pow(alpha, n1*n24 - n136*n8)*n19*n28*n73*n8/(n131*n72) + pow(alpha, n1*n24 - n136*n8)*n28*n32*n73/(n131*n72) + n118*n133*n155*n19 + n28*n32*n92)/n184 + n75*xF[12]*(pow(alpha, n1*n24 - n136*n7)*n111*n73/(n131*n72) + pow(alpha, n1*n24 - n136*n7)*n19*n28*n7*n73/(n131*n72) + n111*n91 + n118*n133*n151*n19)/n183 + n43*n48*n6*xF[11]*(pow(alpha, NP0*n1 - n136*n6)*n133*n2*n6 + n121)/n182 + n89*xF[11]*(pow(alpha, n1*n24 - n136*n6)*n1*n28*n6*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n6)*n28*n30*n73/(n131*n72) + n100*n133*n159*n28 + n127)/n182));
      NP_sqrt_base = (-NP0*n339 - n23*(-n105*n61/(n82 - 1 + pow(alpha, -n14*(n97*(n132 - log(n90*(n21 + n25*xTj)/(n21 - xF[0]*xTj) + 1)) + 1))) - n108*n61/(n78 - 1 + pow(alpha, -n10*(n97*(n132 - log(n90*(n21 + n25*xTj)/(n21 - xF[0]*xTj) + 1)) + 1))) - n112*n61/(n81 - 1 + pow(alpha, -n13*(n97*(n132 - log(n90*(n21 + n25*xTj)/(n21 - xF[0]*xTj) + 1)) + 1))) - n61*n69*xF[0]/(pow(alpha, n19*(n97*(n132 - log(n90*(n21 + n25*xTj)/(n21 - xF[0]*xTj) + 1)) + 1)) + n69 - 1) - n61*n70*xF[10]/(n70 - 1 + pow(alpha, -n5*(n97*(n132 - log(n90*(n21 + n25*xTj)/(n21 - xF[0]*xTj) + 1)) + 1))) - n61*n74*xF[11]/(n74 - 1 + pow(alpha, -n6*(n97*(n132 - log(n90*(n21 + n25*xTj)/(n21 - xF[0]*xTj) + 1)) + 1))) - n61*n75*xF[12]/(n75 - 1 + pow(alpha, -n7*(n97*(n132 - log(n90*(n21 + n25*xTj)/(n21 - xF[0]*xTj) + 1)) + 1))) - n61*n76*xF[13]/(n76 - 1 + pow(alpha, -n8*(n97*(n132 - log(n90*(n21 + n25*xTj)/(n21 - xF[0]*xTj) + 1)) + 1))) - n61*n77*xF[1]/(n77 - 1 + pow(alpha, -n9*(n97*(n132 - log(n90*(n21 + n25*xTj)/(n21 - xF[0]*xTj) + 1)) + 1))) - n61*n79*xF[3]/(n79 - 1 + pow(alpha, -n11*(n97*(n132 - log(n90*(n21 + n25*xTj)/(n21 - xF[0]*xTj) + 1)) + 1))) - n61*n80*xF[4]/(n80 - 1 + pow(alpha, -n12*(n97*(n132 - log(n90*(n21 + n25*xTj)/(n21 - xF[0]*xTj) + 1)) + 1))) - n61*n83*xF[7]/(n83 - 1 + pow(alpha, -n15*(n97*(n132 - log(n90*(n21 + n25*xTj)/(n21 - xF[0]*xTj) + 1)) + 1))) - n61*n84*xF[8]/(n84 - 1 + pow(alpha, -n16*(n97*(n132 - log(n90*(n21 + n25*xTj)/(n21 - xF[0]*xTj) + 1)) + 1))) - n61*n85*xF[9]/(n85 - 1 + pow(alpha, -n17*(n97*(n132 - log(n90*(n21 + n25*xTj)/(n21 - xF[0]*xTj) + 1)) + 1)))) + n61*n69*xF[0]/(-n162 + n69 - 1) - pow(NP0, -n20)*(n0*n227*n285*n289*n61 - n0*n23*(n105*n61*(pow(alpha, NP0*n1 - n136*n14)*n133*n14*n19*n28 + pow(alpha, n1*n24 - n136*n14)*n14*n19*n28*n73/(n131*n72) + pow(alpha, n1*n24 - n136*n14)*n28*n38*n73/(n131*n72) + n28*n38*n96)/n190 - n108*n61*(pow(alpha, NP0*n1 - n10*n136)*n133*n65 + n52*n65)*(pow(alpha, NP0*n1 - n10*n136)*n10*n133*n43 + n10*n43*n52)/n200 + n108*n61*(pow(alpha, NP0*n1 - n10*n136)*n10*n133*n19*n28 + pow(alpha, n1*n24 - n10*n136)*n10*n19*n28*n73/(n131*n72) + pow(alpha, n1*n24 - n10*n136)*n110*n73/(n131*n72) + n110*n93)/n186 - n112*n61*(pow(alpha, NP0*n1 - n13*n136)*n133*n62 + n55*n62)*(pow(alpha, NP0*n1 - n13*n136)*n13*n133*n43 + n13*n43*n55)/n203 + n117*n61*(pow(alpha, NP0*n1 - n136*n7)*n133*n2*n7 + n122)*(pow(alpha, NP0*n1 - n136*n7)*n133*n43*n7 + n43*n49*n7)/n197 + n119*n61*(pow(alpha, NP0*n1 - n136*n17)*n133*n17*n2 + n109*n2)*(pow(alpha, NP0*n1 - n136*n17)*n133*n17*n43 + n109*n43)/n207 + n119*n61*(pow(alpha, NP0*n1 - n136*n17)*n1*n133*n17*n28 + pow(alpha, n1*n24 - n136*n17)*n1*n17*n28*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n17)*n28*n41*n73/(n131*n72) + n28*n41*n59)/n193 + n120*n61*(pow(alpha, NP0*n1 - n136*n8)*n133*n2*n8 + n107*n2)*(pow(alpha, NP0*n1 - n136*n8)*n133*n43*n8 + n107*n43)/n198 + n216*n61*n86*(pow(alpha, NP0*n1 - n11*n136)*n1*n11*n133*n28 + pow(alpha, n1*n24 - n11*n136)*n1*n11*n28*n73/(n131*n72) + pow(alpha, n1*n24 - n11*n136)*n28*n67*n73/(n131*n72) + n129) + n217*n61*n87*(pow(alpha, NP0*n1 - n136*n14)*n133*n14*n2 + n2*n98)*(pow(alpha, NP0*n1 - n136*n14)*n133*n14*n43 + n43*n98) + n218*n61*n88*(pow(alpha, NP0*n1 - n136*n5)*n1*n133*n28*n5 + pow(alpha, n1*n24 - n136*n5)*n1*n28*n5*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n5)*n28*n29*n73/(n131*n72) + n128) - n227*n61*xF[0]*(pow(alpha, NP0*n1 - n1*n136)*n1*n133*n2 + n100*n2)*(pow(alpha, NP0*n1 - n1*n136)*n1*n133*n43 + n100*n43) + n228*n61*xF[0]*(pow(alpha, NP0*n1 - n1*n136)*n133*n28*n66 + n118*n66) - n229*n61*xF[1]*(pow(alpha, NP0*n1 - n136*n9)*n133*n63 + n51*n63)*(pow(alpha, NP0*n1 - n136*n9)*n133*n43*n9 + n114*n43) + n230*n61*(pow(alpha, NP0*n1 - n12*n136)*n12*n133*n19*n28 + pow(alpha, n1*n24 - n12*n136)*n12*n19*n28*n73/(n131*n72) + pow(alpha, n1*n24 - n12*n136)*n28*n36*n73/(n131*n72) + n28*n36*n94) - n231*n61*(pow(alpha, NP0*n1 - n12*n136)*n12*n133*n2 + n103*n2)*(pow(alpha, NP0*n1 - n12*n136)*n12*n133*n43 + n103*n43) + n232*n61*(pow(alpha, NP0*n1 - n13*n136)*n1*n13*n133*n28 + pow(alpha, n1*n24 - n13*n136)*n1*n13*n28*n73/(n131*n72) - pow(alpha, n1*n24 - n13*n136)*n102*n73/(n131*n72) + n102*n55) + n233*n61*(pow(alpha, NP0*n1 - n136*n15)*n133*n68 + n57*n68)*(pow(alpha, NP0*n1 - n136*n15)*n133*n15*n43 + n115*n43) + n234*n61*(pow(alpha, NP0*n1 - n136*n9)*n1*n133*n28*n9 + pow(alpha, n1*n24 - n136*n9)*n1*n28*n73*n9/(n131*n72) - pow(alpha, n1*n24 - n136*n9)*n113*n73/(n131*n72) + n113*n51) + n235*n61*(pow(alpha, NP0*n1 - n136*n15)*n1*n133*n15*n28 + pow(alpha, n1*n24 - n136*n15)*n1*n15*n28*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n15)*n106*n73/(n131*n72) + n106*n57) + n236*n61*(pow(alpha, NP0*n1 - n136*n16)*n1*n133*n16*n28 + pow(alpha, n1*n24 - n136*n16)*n1*n16*n28*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n16)*n28*n40*n73/(n131*n72) + n126) + n241 + n242 + n243 + n244 + n245 + n246 + n247 + n248 + n249 + n250 + n251 + n252 + n253 + n254 + n303 + n304 + n305 + n306 + n307 + n308 + n309 + n310 + n311 + n312 + n313 + n314 + n315 + n316 - n61*n84*xF[8]*(pow(alpha, NP0*n1 - n136*n16)*n133*n16*n2 + n101*n2)*(pow(alpha, NP0*n1 - n136*n16)*n133*n16*n43 + n101*n43)/n206 + n61*n86*xF[3]*(pow(alpha, NP0*n1 - n11*n136)*n11*n133*n2 + n2*n99)*(pow(alpha, NP0*n1 - n11*n136)*n11*n133*n43 + n43*n99)/n201 + n61*n89*xF[11]*(pow(alpha, NP0*n1 - n136*n6)*n133*n2*n6 + n121)*(pow(alpha, NP0*n1 - n136*n6)*n133*n43*n6 + n43*n48*n6)/n196 + n61*n88*xF[10]*(pow(alpha, NP0*n1 - n136*n5)*n133*n2*n5 + n104*n2)*(pow(alpha, NP0*n1 - n136*n5)*n133*n43*n5 + n104*n43)/n195 + n61*n76*xF[13]*(pow(alpha, NP0*n1 - n136*n8)*n133*n19*n28*n8 + pow(alpha, n1*n24 - n136*n8)*n19*n28*n73*n8/(n131*n72) + pow(alpha, n1*n24 - n136*n8)*n28*n32*n73/(n131*n72) + n28*n32*n92)/n184 + n61*n75*xF[12]*(pow(alpha, NP0*n1 - n136*n7)*n133*n19*n28*n7 + pow(alpha, n1*n24 - n136*n7)*n111*n73/(n131*n72) + pow(alpha, n1*n24 - n136*n7)*n19*n28*n7*n73/(n131*n72) + n111*n91)/n183 + n61*n89*xF[11]*(pow(alpha, NP0*n1 - n136*n6)*n1*n133*n28*n6 + pow(alpha, n1*n24 - n136*n6)*n1*n28*n6*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n6)*n28*n30*n73/(n131*n72) + n127)/n182) - n0*n241 - n0*n318 + 1.0*n100*n221*n285*n61))*(4.0*n100*n221*n285*n61 - n20*n23*(n105*n61*(pow(alpha, NP0*n1 - n136*n14)*n133*n14*n19*n28 + pow(alpha, n1*n24 - n136*n14)*n14*n19*n28*n73/(n131*n72) + pow(alpha, n1*n24 - n136*n14)*n28*n38*n73/(n131*n72) + n28*n38*n96)/n190 - n108*n61*(pow(alpha, NP0*n1 - n10*n136)*n133*n65 + n52*n65)*(pow(alpha, NP0*n1 - n10*n136)*n10*n133*n43 + n10*n43*n52)/n200 + n108*n61*(pow(alpha, NP0*n1 - n10*n136)*n10*n133*n19*n28 + pow(alpha, n1*n24 - n10*n136)*n10*n19*n28*n73/(n131*n72) + pow(alpha, n1*n24 - n10*n136)*n110*n73/(n131*n72) + n110*n93)/n186 - n112*n61*(pow(alpha, NP0*n1 - n13*n136)*n133*n62 + n55*n62)*(pow(alpha, NP0*n1 - n13*n136)*n13*n133*n43 + n13*n43*n55)/n203 + n117*n61*(pow(alpha, NP0*n1 - n136*n7)*n133*n2*n7 + n122)*(pow(alpha, NP0*n1 - n136*n7)*n133*n43*n7 + n43*n49*n7)/n197 + n119*n61*(pow(alpha, NP0*n1 - n136*n17)*n133*n17*n2 + n109*n2)*(pow(alpha, NP0*n1 - n136*n17)*n133*n17*n43 + n109*n43)/n207 + n119*n61*(pow(alpha, NP0*n1 - n136*n17)*n1*n133*n17*n28 + pow(alpha, n1*n24 - n136*n17)*n1*n17*n28*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n17)*n28*n41*n73/(n131*n72) + n28*n41*n59)/n193 + n120*n61*(pow(alpha, NP0*n1 - n136*n8)*n133*n2*n8 + n107*n2)*(pow(alpha, NP0*n1 - n136*n8)*n133*n43*n8 + n107*n43)/n198 + n216*n61*n86*(pow(alpha, NP0*n1 - n11*n136)*n1*n11*n133*n28 + pow(alpha, n1*n24 - n11*n136)*n1*n11*n28*n73/(n131*n72) + pow(alpha, n1*n24 - n11*n136)*n28*n67*n73/(n131*n72) + n129) + n217*n61*n87*(pow(alpha, NP0*n1 - n136*n14)*n133*n14*n2 + n2*n98)*(pow(alpha, NP0*n1 - n136*n14)*n133*n14*n43 + n43*n98) + n218*n61*n88*(pow(alpha, NP0*n1 - n136*n5)*n1*n133*n28*n5 + pow(alpha, n1*n24 - n136*n5)*n1*n28*n5*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n5)*n28*n29*n73/(n131*n72) + n128) - n227*n61*xF[0]*(pow(alpha, NP0*n1 - n1*n136)*n1*n133*n2 + n100*n2)*(pow(alpha, NP0*n1 - n1*n136)*n1*n133*n43 + n100*n43) + n228*n61*xF[0]*(pow(alpha, NP0*n1 - n1*n136)*n133*n28*n66 + n118*n66) - n229*n61*xF[1]*(pow(alpha, NP0*n1 - n136*n9)*n133*n63 + n51*n63)*(pow(alpha, NP0*n1 - n136*n9)*n133*n43*n9 + n114*n43) + n230*n61*(pow(alpha, NP0*n1 - n12*n136)*n12*n133*n19*n28 + pow(alpha, n1*n24 - n12*n136)*n12*n19*n28*n73/(n131*n72) + pow(alpha, n1*n24 - n12*n136)*n28*n36*n73/(n131*n72) + n28*n36*n94) - n231*n61*(pow(alpha, NP0*n1 - n12*n136)*n12*n133*n2 + n103*n2)*(pow(alpha, NP0*n1 - n12*n136)*n12*n133*n43 + n103*n43) + n232*n61*(pow(alpha, NP0*n1 - n13*n136)*n1*n13*n133*n28 + pow(alpha, n1*n24 - n13*n136)*n1*n13*n28*n73/(n131*n72) - pow(alpha, n1*n24 - n13*n136)*n102*n73/(n131*n72) + n102*n55) + n233*n61*(pow(alpha, NP0*n1 - n136*n15)*n133*n68 + n57*n68)*(pow(alpha, NP0*n1 - n136*n15)*n133*n15*n43 + n115*n43) + n234*n61*(pow(alpha, NP0*n1 - n136*n9)*n1*n133*n28*n9 + pow(alpha, n1*n24 - n136*n9)*n1*n28*n73*n9/(n131*n72) - pow(alpha, n1*n24 - n136*n9)*n113*n73/(n131*n72) + n113*n51) + n235*n61*(pow(alpha, NP0*n1 - n136*n15)*n1*n133*n15*n28 + pow(alpha, n1*n24 - n136*n15)*n1*n15*n28*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n15)*n106*n73/(n131*n72) + n106*n57) + n236*n61*(pow(alpha, NP0*n1 - n136*n16)*n1*n133*n16*n28 + pow(alpha, n1*n24 - n136*n16)*n1*n16*n28*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n16)*n28*n40*n73/(n131*n72) + n126) + n241 + n242 + n243 + n244 + n245 + n246 + n247 + n248 + n249 + n250 + n251 + n252 + n253 + n254 + n303 + n304 + n305 + n306 + n307 + n308 + n309 + n310 + n311 + n312 + n313 + n314 + n315 + n316 - n61*n84*xF[8]*(pow(alpha, NP0*n1 - n136*n16)*n133*n16*n2 + n101*n2)*(pow(alpha, NP0*n1 - n136*n16)*n133*n16*n43 + n101*n43)/n206 + n61*n86*xF[3]*(pow(alpha, NP0*n1 - n11*n136)*n11*n133*n2 + n2*n99)*(pow(alpha, NP0*n1 - n11*n136)*n11*n133*n43 + n43*n99)/n201 + n61*n89*xF[11]*(pow(alpha, NP0*n1 - n136*n6)*n133*n2*n6 + n121)*(pow(alpha, NP0*n1 - n136*n6)*n133*n43*n6 + n43*n48*n6)/n196 + n61*n88*xF[10]*(pow(alpha, NP0*n1 - n136*n5)*n133*n2*n5 + n104*n2)*(pow(alpha, NP0*n1 - n136*n5)*n133*n43*n5 + n104*n43)/n195 + n61*n76*xF[13]*(pow(alpha, NP0*n1 - n136*n8)*n133*n19*n28*n8 + pow(alpha, n1*n24 - n136*n8)*n19*n28*n73*n8/(n131*n72) + pow(alpha, n1*n24 - n136*n8)*n28*n32*n73/(n131*n72) + n28*n32*n92)/n184 + n61*n75*xF[12]*(pow(alpha, NP0*n1 - n136*n7)*n133*n19*n28*n7 + pow(alpha, n1*n24 - n136*n7)*n111*n73/(n131*n72) + pow(alpha, n1*n24 - n136*n7)*n19*n28*n7*n73/(n131*n72) + n111*n91)/n183 + n61*n89*xF[11]*(pow(alpha, NP0*n1 - n136*n6)*n1*n133*n28*n6 + pow(alpha, n1*n24 - n136*n6)*n1*n28*n6*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n6)*n28*n30*n73/(n131*n72) + n127)/n182) - 4.0*n227*n290*n61 + 2.0*n241 + 2.0*n318) + pow(-n24*(n0*n227*n61*xF[0]*(pow(alpha, NP0*n1 - n1*n136)*n1*n133*n2 + n100*n2)*(pow(alpha, NP0*n1 - n1*n136)*n1*n133*n43 + n100*n43) - n0*n228*n61*xF[0]*(pow(alpha, NP0*n1 - n1*n136)*n133*n28*n66 + n118*n66) + n0*xTj*(n105*n61*(pow(alpha, NP0*n1 - n136*n14)*n133*n14*n19*n28 + pow(alpha, n1*n24 - n136*n14)*n14*n19*n28*n73/(n131*n72) + pow(alpha, n1*n24 - n136*n14)*n28*n38*n73/(n131*n72) + n28*n38*n96)/n190 - n108*n61*(pow(alpha, NP0*n1 - n10*n136)*n133*n65 + n52*n65)*(pow(alpha, NP0*n1 - n10*n136)*n10*n133*n43 + n10*n43*n52)/n200 + n108*n61*(pow(alpha, NP0*n1 - n10*n136)*n10*n133*n19*n28 + pow(alpha, n1*n24 - n10*n136)*n10*n19*n28*n73/(n131*n72) + pow(alpha, n1*n24 - n10*n136)*n110*n73/(n131*n72) + n110*n93)/n186 - n112*n61*(pow(alpha, NP0*n1 - n13*n136)*n133*n62 + n55*n62)*(pow(alpha, NP0*n1 - n13*n136)*n13*n133*n43 + n13*n43*n55)/n203 + n117*n61*(pow(alpha, NP0*n1 - n136*n7)*n133*n2*n7 + n122)*(pow(alpha, NP0*n1 - n136*n7)*n133*n43*n7 + n43*n49*n7)/n197 + n119*n61*(pow(alpha, NP0*n1 - n136*n17)*n133*n17*n2 + n109*n2)*(pow(alpha, NP0*n1 - n136*n17)*n133*n17*n43 + n109*n43)/n207 + n119*n61*(pow(alpha, NP0*n1 - n136*n17)*n1*n133*n17*n28 + pow(alpha, n1*n24 - n136*n17)*n1*n17*n28*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n17)*n28*n41*n73/(n131*n72) + n28*n41*n59)/n193 + n120*n61*(pow(alpha, NP0*n1 - n136*n8)*n133*n2*n8 + n107*n2)*(pow(alpha, NP0*n1 - n136*n8)*n133*n43*n8 + n107*n43)/n198 + n216*n61*n86*(pow(alpha, NP0*n1 - n11*n136)*n1*n11*n133*n28 + pow(alpha, n1*n24 - n11*n136)*n1*n11*n28*n73/(n131*n72) + pow(alpha, n1*n24 - n11*n136)*n28*n67*n73/(n131*n72) + n129) + n217*n61*n87*(pow(alpha, NP0*n1 - n136*n14)*n133*n14*n2 + n2*n98)*(pow(alpha, NP0*n1 - n136*n14)*n133*n14*n43 + n43*n98) + n218*n61*n88*(pow(alpha, NP0*n1 - n136*n5)*n1*n133*n28*n5 + pow(alpha, n1*n24 - n136*n5)*n1*n28*n5*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n5)*n28*n29*n73/(n131*n72) + n128) - n227*n61*xF[0]*(pow(alpha, NP0*n1 - n1*n136)*n1*n133*n2 + n100*n2)*(pow(alpha, NP0*n1 - n1*n136)*n1*n133*n43 + n100*n43) + n228*n61*xF[0]*(pow(alpha, NP0*n1 - n1*n136)*n133*n28*n66 + n118*n66) - n229*n61*xF[1]*(pow(alpha, NP0*n1 - n136*n9)*n133*n63 + n51*n63)*(pow(alpha, NP0*n1 - n136*n9)*n133*n43*n9 + n114*n43) + n230*n61*(pow(alpha, NP0*n1 - n12*n136)*n12*n133*n19*n28 + pow(alpha, n1*n24 - n12*n136)*n12*n19*n28*n73/(n131*n72) + pow(alpha, n1*n24 - n12*n136)*n28*n36*n73/(n131*n72) + n28*n36*n94) - n231*n61*(pow(alpha, NP0*n1 - n12*n136)*n12*n133*n2 + n103*n2)*(pow(alpha, NP0*n1 - n12*n136)*n12*n133*n43 + n103*n43) + n232*n61*(pow(alpha, NP0*n1 - n13*n136)*n1*n13*n133*n28 + pow(alpha, n1*n24 - n13*n136)*n1*n13*n28*n73/(n131*n72) - pow(alpha, n1*n24 - n13*n136)*n102*n73/(n131*n72) + n102*n55) + n233*n61*(pow(alpha, NP0*n1 - n136*n15)*n133*n68 + n57*n68)*(pow(alpha, NP0*n1 - n136*n15)*n133*n15*n43 + n115*n43) + n234*n61*(pow(alpha, NP0*n1 - n136*n9)*n1*n133*n28*n9 + pow(alpha, n1*n24 - n136*n9)*n1*n28*n73*n9/(n131*n72) - pow(alpha, n1*n24 - n136*n9)*n113*n73/(n131*n72) + n113*n51) + n235*n61*(pow(alpha, NP0*n1 - n136*n15)*n1*n133*n15*n28 + pow(alpha, n1*n24 - n136*n15)*n1*n15*n28*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n15)*n106*n73/(n131*n72) + n106*n57) + n236*n61*(pow(alpha, NP0*n1 - n136*n16)*n1*n133*n16*n28 + pow(alpha, n1*n24 - n136*n16)*n1*n16*n28*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n16)*n28*n40*n73/(n131*n72) + n126) + n241 + n242 + n243 + n244 + n245 + n246 + n247 + n248 + n249 + n250 + n251 + n252 + n253 + n254 + n303 + n304 + n305 + n306 + n307 + n308 + n309 + n310 + n311 + n312 + n313 + n314 + n315 + n316 - n61*n84*xF[8]*(pow(alpha, NP0*n1 - n136*n16)*n133*n16*n2 + n101*n2)*(pow(alpha, NP0*n1 - n136*n16)*n133*n16*n43 + n101*n43)/n206 + n61*n86*xF[3]*(pow(alpha, NP0*n1 - n11*n136)*n11*n133*n2 + n2*n99)*(pow(alpha, NP0*n1 - n11*n136)*n11*n133*n43 + n43*n99)/n201 + n61*n89*xF[11]*(pow(alpha, NP0*n1 - n136*n6)*n133*n2*n6 + n121)*(pow(alpha, NP0*n1 - n136*n6)*n133*n43*n6 + n43*n48*n6)/n196 + n61*n88*xF[10]*(pow(alpha, NP0*n1 - n136*n5)*n133*n2*n5 + n104*n2)*(pow(alpha, NP0*n1 - n136*n5)*n133*n43*n5 + n104*n43)/n195 + n61*n76*xF[13]*(pow(alpha, NP0*n1 - n136*n8)*n133*n19*n28*n8 + pow(alpha, n1*n24 - n136*n8)*n19*n28*n73*n8/(n131*n72) + pow(alpha, n1*n24 - n136*n8)*n28*n32*n73/(n131*n72) + n28*n32*n92)/n184 + n61*n75*xF[12]*(pow(alpha, NP0*n1 - n136*n7)*n133*n19*n28*n7 + pow(alpha, n1*n24 - n136*n7)*n111*n73/(n131*n72) + pow(alpha, n1*n24 - n136*n7)*n19*n28*n7*n73/(n131*n72) + n111*n91)/n183 + n61*n89*xF[11]*(pow(alpha, NP0*n1 - n136*n6)*n1*n133*n28*n6 + pow(alpha, n1*n24 - n136*n6)*n1*n28*n6*n73/(n131*n72) - pow(alpha, n1*n24 - n136*n6)*n28*n30*n73/(n131*n72) + n127)/n182) + 1.0*n100*n221*n61*xF[0]*(pow(alpha, NP0*n1 - n1*n136)*n1*n133*n2 + n100*n2) + n255) - n339, -n20);
      NP_sqrt_base = fabs(NP_sqrt_base);
      NP1 = (-NP_b - pow(NP_sqrt_base, -n0))/NP_2a;
      NT1 = n97*(n132 - log(-pow(alpha, NP1*n1)*n123 + 1));
      g0 = MW[1] - Mstar;
      g1 = MW[0] - Mstar;
      g2 = NT1 + 1;
      g3 = xPj - xTj;
      g4 = MW[10] - Mstar;
      g5 = MW[11] - Mstar;
      g6 = MW[12] - Mstar;
      g7 = MW[13] - Mstar;
      g8 = MW[2] - Mstar;
      g9 = MW[3] - Mstar;
      g10 = MW[4] - Mstar;
      g11 = MW[5] - Mstar;
      g12 = MW[6] - Mstar;
      g13 = MW[7] - Mstar;
      g14 = MW[8] - Mstar;
      g15 = MW[9] - Mstar;
      g16 = xF[0] - xTj;
      g17 = xF[0] - xPj;
      g18 = -xTj;
      g19 = xPj/xF[1];
      g20 = pow(alpha, -g1);
      g21 = pow(alpha, -g4);
      g22 = pow(alpha, -g5);
      g23 = pow(alpha, -g6);
      g24 = pow(alpha, -g7);
      g25 = pow(alpha, -g0);
      g26 = pow(alpha, -g8);
      g27 = pow(alpha, -g9);
      g28 = pow(alpha, -g10);
      g29 = pow(alpha, -g11);
      g30 = pow(alpha, -g12);
      g31 = pow(alpha, -g13);
      g32 = pow(alpha, -g14);
      g33 = pow(alpha, -g15);
      g34 = log(xF[0]/xF[1]);
      g35 = -g2;
      g36 = pow(alpha, NP1*g0);
      g37 = pow(alpha, NP1*g1);
      g38 = pow(alpha, NP1*g4);
      g39 = log(g20);
      g40 = pow(alpha, NP1*g5);
      g41 = pow(alpha, NP1*g6);
      g42 = pow(alpha, NP1*g7);
      g43 = pow(alpha, NP1*g8);
      g44 = pow(alpha, NP1*g9);
      g45 = pow(alpha, NP1*g10);
      g46 = pow(alpha, NP1*g11);
      g47 = pow(alpha, NP1*g12);
      g48 = pow(alpha, NP1*g13);
      g49 = pow(alpha, NP1*g14);
      g50 = pow(alpha, NP1*g15);
      g51 = -g34;
      g52 = g16/g3;
      g53 = g3/g16;
      g54 = -g36 + 1;
      g55 = -g36 + 1;
      g56 = -g37 + 1;
      g57 = -g43 + 1;
      g58 = -g44 + 1;
      g59 = -g45 + 1;
      g60 = -g46 + 1;
      g61 = -g47 + 1;
      g62 = -g48 + 1;
      g63 = -g49 + 1;
      g64 = -g50 + 1;
      g65 = -g38 + 1;
      g66 = -g40 + 1;
      g67 = -g41 + 1;
      g68 = -g42 + 1;
      g69 = -g37;
      g70 = -g38;
      g71 = -g40;
      g72 = -g41;
      g73 = -g42;
      g74 = -g43;
      g75 = -g44;
      g76 = -g45;
      g77 = -g46;
      g78 = -g47;
      g79 = -g48;
      g80 = -g49;
      g81 = -g50;
      g82 = -1.0*g34;
      g83 = -g3/g17;
      g84 = g17/(g3*xF[1]);
      g85 = pow(alpha, g0*g35) - 1;
      g86 = pow(alpha, g0*g35) - 1;
      g87 = pow(alpha, g1*g35) - 1;
      g88 = pow(alpha, g35*g8) - 1;
      g89 = pow(alpha, g35*g9) - 1;
      g90 = pow(alpha, g10*g35) - 1;
      g91 = pow(alpha, g11*g35) - 1;
      g92 = pow(alpha, g12*g35) - 1;
      g93 = pow(alpha, g13*g35) - 1;
      g94 = pow(alpha, g14*g35) - 1;
      g95 = pow(alpha, g15*g35) - 1;
      g96 = pow(alpha, g35*g4) - 1;
      g97 = pow(alpha, g35*g5) - 1;
      g98 = pow(alpha, g35*g6) - 1;
      g99 = pow(alpha, g35*g7) - 1;
      g100 = -pow(alpha, g1*g35);
      g101 = -pow(alpha, g35*g4);
      g102 = -pow(alpha, g35*g5);
      g103 = -pow(alpha, g35*g6);
      g104 = -pow(alpha, g35*g7);
      g105 = -pow(alpha, g35*g8);
      g106 = -pow(alpha, g35*g9);
      g107 = -pow(alpha, g10*g35);
      g108 = -pow(alpha, g11*g35);
      g109 = -pow(alpha, g12*g35);
      g110 = -pow(alpha, g13*g35);
      g111 = -pow(alpha, g14*g35);
      g112 = -pow(alpha, g15*g35);
      g113 = g55 + g86;
      g114 = -g100 - g37;
      g115 = -g101 - g38;
      g116 = -g102 - g40;
      g117 = -g103 - g41;
      g118 = -g104 - g42;
      g119 = -g105 - g43;
      g120 = -g106 - g44;
      g121 = -g107 - g45;
      g122 = -g108 - g46;
      g123 = -g109 - g47;
      g124 = -g110 - g48;
      g125 = -g111 - g49;
      g126 = -g112 - g50;
      g127 = pow(alpha, g1*g35) + g69;
      g128 = g55 + g86;
      g129 = pow(alpha, g35*g4) + g70;
      g130 = pow(alpha, g35*g5) + g71;
      g131 = pow(alpha, g35*g6) + g72;
      g132 = pow(alpha, g35*g7) + g73;
      g133 = pow(alpha, g35*g8) + g74;
      g134 = pow(alpha, g35*g9) + g75;
      g135 = pow(alpha, g10*g35) + g76;
      g136 = pow(alpha, g11*g35) + g77;
      g137 = pow(alpha, g12*g35) + g78;
      g138 = pow(alpha, g13*g35) + g79;
      g139 = pow(alpha, g14*g35) + g80;
      g140 = pow(alpha, g15*g35) + g81;
      g141 = xF[11]/g130;
      g142 = xF[9]/g140;
      g143 = xF[8]/g139;
      g144 = xF[1]/g128;
      g145 = xF[10]/g129;
      g146 = xF[3]/g134;
      g147 = xF[7]/g138;
      g148 = xF[4]/g135;
      g149 = xF[12]/g131;
      g150 = xF[13]/g132;
      g151 = xF[6]/g137;
      g152 = xF[5]/g136;
      g153 = xF[2]/g133;
      g154 = xF[0]/g127;
      g155 = xF[1]/g113;
      g156 = xF[0]/g114;
      g157 = xF[4]/g121;
      g158 = xF[7]/g124;
      g159 = xF[2]/g119;
      g160 = xF[11]/g116;
      g161 = xF[13]/g118;
      g162 = xF[3]/g120;
      g163 = xF[6]/g123;
      g164 = xF[8]/g125;
      g165 = xF[12]/g117;
      g166 = xF[10]/g115;
      g167 = xF[9]/g126;
      g168 = xF[5]/g122;
      g169 = g61/g123;
      g170 = g64/g126;
      g171 = g59/g121;
      g172 = g62/g124;
      g173 = g56/g114;
      g174 = g60/g122;
      g175 = g67/g117;
      g176 = g68/g118;
      g177 = g58/g120;
      g178 = g54/g113;
      g179 = g66/g116;
      g180 = g57/g119;
      g181 = g65/g115;
      g182 = g63/g125;
      g183 = g85/g113;
      g184 = g87/g114;
      g185 = g97/g116;
      g186 = g88/g119;
      g187 = g89/g120;
      g188 = g90/g121;
      g189 = g94/g125;
      g190 = g95/g126;
      g191 = g92/g123;
      g192 = g98/g117;
      g193 = g99/g118;
      g194 = g93/g124;
      g195 = g96/g115;
      g196 = g91/g122;
      g197 = log(g128*g18*g84/g55);
      g198 = log(g113*g18*g84/g54);
      g199 = log(g128*g19*g52/g86);
      g200 = 1.0*g197;
      g201 = log(g113*g19*g52/g85);
      g202 = 1.0*g199;
      g203 = -g141*g200*(g71 + 1) - g141*g202*(pow(alpha, g35*g5) - 1) - g142*g200*(g81 + 1) - g142*g202*(pow(alpha, g15*g35) - 1) - g143*g200*(g80 + 1) - g143*g202*(pow(alpha, g14*g35) - 1) - g144*g200*g55 - g144*g202*g86 - g145*g200*(g70 + 1) - g145*g202*(pow(alpha, g35*g4) - 1) - g146*g200*(g75 + 1) - g146*g202*(pow(alpha, g35*g9) - 1) - g147*g200*(g79 + 1) - g147*g202*(pow(alpha, g13*g35) - 1) - g148*g200*(g76 + 1) - g148*g202*(pow(alpha, g10*g35) - 1) - g149*g200*(g72 + 1) - g149*g202*(pow(alpha, g35*g6) - 1) - g150*g200*(g73 + 1) - g150*g202*(pow(alpha, g35*g7) - 1) - g151*g200*(g78 + 1) - g151*g202*(pow(alpha, g12*g35) - 1) - g152*g200*(g77 + 1) - g152*g202*(pow(alpha, g11*g35) - 1) - g153*g200*(g74 + 1) - g153*g202*(pow(alpha, g35*g8) - 1) - g154*g200*(g69 + 1) - g154*g202*(pow(alpha, g1*g35) - 1) - g82*xF[0] - g82*xF[10] - g82*xF[11] - g82*xF[12] - g82*xF[13] - g82*xF[1] - g82*xF[2] - g82*xF[3] - g82*xF[4] - g82*xF[5] - g82*xF[6] - g82*xF[7] - g82*xF[8] - g82*xF[9];
      LpF = xF[0]*(g20 + 1.0)*(g173*g198 + g184*g201 + g51)/(g39*(g20 - 1.0)) + xF[10]*(g21 + 1.0)*(g181*g198 + g195*g201 + g51)/(g39*(g21 - 1.0)) + xF[11]*(g22 + 1.0)*(g179*g198 + g185*g201 + g51)/(g39*(g22 - 1.0)) + xF[12]*(g23 + 1.0)*(g175*g198 + g192*g201 + g51)/(g39*(g23 - 1.0)) + xF[13]*(g24 + 1.0)*(g176*g198 + g193*g201 + g51)/(g39*(g24 - 1.0)) + xF[1]*(g25 + 1.0)*(g178*g198 + g183*g201 + g51)/(g39*(g25 - 1.0)) + xF[2]*(g26 + 1.0)*(g180*g198 + g186*g201 + g51)/(g39*(g26 - 1.0)) + xF[3]*(g27 + 1.0)*(g177*g198 + g187*g201 + g51)/(g39*(g27 - 1.0)) + xF[4]*(g28 + 1.0)*(g171*g198 + g188*g201 + g51)/(g39*(g28 - 1.0)) + xF[5]*(g29 + 1.0)*(g174*g198 + g196*g201 + g51)/(g39*(g29 - 1.0)) + xF[6]*(g30 + 1.0)*(g169*g198 + g191*g201 + g51)/(g39*(g30 - 1.0)) + xF[7]*(g31 + 1.0)*(g172*g198 + g194*g201 + g51)/(g39*(g31 - 1.0)) + xF[8]*(g32 + 1.0)*(g182*g198 + g189*g201 + g51)/(g39*(g32 - 1.0)) + xF[9]*(g33 + 1.0)*(g170*g198 + g190*g201 + g51)/(g39*(g33 - 1.0));
      PpF = g52;
      TpF = -g17/g3;
      SWUpF = g203;
      SWUpP = g203*g53;
      xP[0] = g156*g53*g87;
      xP[1] = g155*g53*g85;
      xP[2] = g159*g53*g88;
      xP[3] = g162*g53*g89;
      xP[4] = g157*g53*g90;
      xP[5] = g168*g53*g91;
      xP[6] = g163*g53*g92;
      xP[7] = g158*g53*g93;
      xP[8] = g164*g53*g94;
      xP[9] = g167*g53*g95;
      xP[10] = g166*g53*g96;
      xP[11] = g160*g53*g97;
      xP[12] = g165*g53*g98;
      xP[13] = g161*g53*g99;
      xT[0] = g156*g56*g83;
      xT[1] = g155*g54*g83;
      xT[2] = g159*g57*g83;
      xT[3] = g162*g58*g83;
      xT[4] = g157*g59*g83;
      xT[5] = g168*g60*g83;
      xT[6] = g163*g61*g83;
      xT[7] = g158*g62*g83;
      xT[8] = g164*g63*g83;
      xT[9] = g167*g64*g83;
      xT[10] = g166*g65*g83;
      xT[11] = g160*g66*g83;
      xT[12] = g165*g67*g83;
      xT[13] = g161*g68*g83;
      break;
    case 15:
      n0 = -2.00000000000000;
      n1 = MW[0] - Mstar;
      n2 = log(alpha);
      n3 = xPj - xTj;
      n4 = xF[0] - xPj;
      n5 = MW[10] - Mstar;
      n6 = MW[11] - Mstar;
      n7 = MW[12] - Mstar;
      n8 = MW[13] - Mstar;
      n9 = MW[14] - Mstar;
      n10 = MW[1] - Mstar;
      n11 = MW[2] - Mstar;
      n12 = MW[3] - Mstar;
      n13 = MW[4] - Mstar;
      n14 = MW[5] - Mstar;
      n15 = MW[6] - Mstar;
      n16 = MW[7] - Mstar;
      n17 = MW[8] - Mstar;
      n18 = MW[9] - Mstar;
      n19 = log(xTj);
      n20 = -n1;
      n21 = -2;
      n22 = xF[0]*xPj;
      n23 = -Mstar;
      n24 = -NP0*n0;
      n25 = -xTj;
      n26 = pow(n1, -n0);
      n27 = pow(n2, -n0);
      n28 = pow(n5, -n0);
      n29 = pow(n6, -n0);
      n30 = pow(n7, -n0);
      n31 = pow(n8, -n0);
      n32 = pow(n9, -n0);
      n33 = pow(n10, -n0);
      n34 = pow(n11, -n0);
      n35 = pow(n12, -n0);
      n36 = pow(n13, -n0);
      n37 = pow(n14, -n0);
      n38 = pow(n15, -n0);
      n39 = pow(n16, -n0);
      n40 = pow(n17, -n0);
      n41 = pow(n18, -n0);
      n42 = Mstar*n2;
      n43 = -n0*n2;
      n44 = pow(alpha, NP0*n1);
      n45 = n22 + n25*xF[0];
      n46 = n22 + n25*xPj;
      n47 = pow(alpha, NP0*n5);
      n48 = pow(alpha, NP0*n6);
      n49 = pow(alpha, NP0*n7);
      n50 = pow(alpha, NP0*n8);
      n51 = pow(alpha, NP0*n9);
      n52 = pow(alpha, NP0*n10);
      n53 = pow(alpha, NP0*n11);
      n54 = pow(alpha, NP0*n12);
      n55 = pow(alpha, NP0*n13);
      n56 = pow(alpha, NP0*n14);
      n57 = pow(alpha, NP0*n15);
      n58 = pow(alpha, NP0*n16);
      n59 = pow(alpha, NP0*n17);
      n60 = pow(alpha, NP0*n18);
      n61 = -MW[0]*n2;
      n62 = n3/n4;
      n63 = n14*n2;
      n64 = n10*n2;
      n65 = n11*n2;
      n66 = n18*n2;
      n67 = n1*n2;
      n68 = n16*n2;
      n69 = -n44 + 1;
      n70 = -n47 + 1;
      n71 = pow(alpha, NP0*n0*n20);
      n72 = pow(n46, -n0);
      n73 = -n48 + 1;
      n74 = -n49 + 1;
      n75 = -n50 + 1;
      n76 = -n51 + 1;
      n77 = -n52 + 1;
      n78 = -n53 + 1;
      n79 = -n54 + 1;
      n80 = -n55 + 1;
      n81 = -n56 + 1;
      n82 = -n57 + 1;
      n83 = -n58 + 1;
      n84 = -n59 + 1;
      n85 = -n60 + 1;
      n86 = -n79;
      n87 = -n73;
      n88 = -n82;
      n89 = -n80;
      n90 = -n44;
      n91 = -n49;
      n92 = -n50;
      n93 = -n51;
      n94 = -n53;
      n95 = -n55;
      n96 = -n56;
      n97 = -n57;
      n98 = n44*xF[0];
      n99 = n60*xF[9];
      n100 = 1.0/n67;
      n101 = n15*n57;
      n102 = n12*n54;
      n103 = n27*n37;
      n104 = n13*n55;
      n105 = n76*xF[14];
      n106 = n26*n27;
      n107 = n1*n44;
      n108 = n27*n39;
      n109 = n50*n8;
      n110 = n78*xF[2];
      n111 = n69*xF[0];
      n112 = n51*n9;
      n113 = n27*n34;
      n114 = n27*n30;
      n115 = n27*n33;
      n116 = n47*n5;
      n117 = n17*n59;
      n118 = n10*n52;
      n119 = n81*xF[5];
      n120 = n49*n7;
      n121 = n16*n58;
      n122 = n27*n32;
      n123 = log((-1.0 + xPj/xF[0])/n3);
      n124 = -n74*xF[12];
      n125 = -n85*xF[9];
      n126 = n116*xF[10];
      n127 = -n70*xF[10];
      n128 = -n75*xF[13];
      n129 = -n84*xF[8];
      n130 = -n83*xF[7];
      n131 = n2*n48*n6;
      n132 = n117*n2;
      n133 = n46/n45;
      n134 = n120*n2*xF[12];
      n135 = n27*n31*n50;
      n136 = n27*n29*n48;
      n137 = n27*n40*n59;
      n138 = n27*n36*n55;
      n139 = n27*n28*n47;
      n140 = n27*n38*n57;
      n141 = n27*n35*n54;
      n142 = n133*n90 + 1;
      n143 = n123 + n19 + n42 + n61;
      n144 = n133/n142;
      n145 = n144*n27;
      n146 = n144*n2*n44;
      n147 = n100*(n143 - log(n142)) + 1;
      n148 = pow(alpha, n1*n147);
      n149 = pow(alpha, n147*n5);
      n150 = pow(alpha, n147*n6);
      n151 = pow(alpha, n147*n7);
      n152 = pow(alpha, n147*n8);
      n153 = pow(alpha, n147*n9);
      n154 = pow(alpha, n10*n147);
      n155 = pow(alpha, n11*n147);
      n156 = pow(alpha, n12*n147);
      n157 = pow(alpha, n13*n147);
      n158 = pow(alpha, n14*n147);
      n159 = pow(alpha, n147*n15);
      n160 = pow(alpha, n147*n16);
      n161 = pow(alpha, n147*n17);
      n162 = pow(alpha, n147*n18);
      n163 = n7/n151;
      n164 = n13/n157;
      n165 = n16/n160;
      n166 = n9/n153;
      n167 = n18/n162;
      n168 = n8/n152;
      n169 = n12/n156;
      n170 = n15/n159;
      n171 = n17/n161;
      n172 = n6/n150;
      n173 = n10/n154;
      n174 = n11/n155;
      n175 = n5/n149;
      n176 = n14/n158;
      n177 = n44/n158;
      n178 = pow(alpha, n147*n20) + n69 - 1;
      n179 = n70 - 1 + 1.0/n149;
      n180 = n73 - 1 + 1.0/n150;
      n181 = n74 - 1 + 1.0/n151;
      n182 = n75 - 1 + 1.0/n152;
      n183 = n76 - 1 + 1.0/n153;
      n184 = n77 - 1 + 1.0/n154;
      n185 = n78 - 1 + 1.0/n155;
      n186 = n79 - 1 + 1.0/n156;
      n187 = n80 - 1 + 1.0/n157;
      n188 = n81 - 1 + 1.0/n158;
      n189 = n82 - 1 + 1.0/n159;
      n190 = n83 - 1 + 1.0/n160;
      n191 = n84 - 1 + 1.0/n161;
      n192 = n85 - 1 + 1.0/n162;
      n193 = pow(n178, 3);
      n194 = pow(n179, 3);
      n195 = pow(n180, 3);
      n196 = pow(n181, 3);
      n197 = pow(n182, 3);
      n198 = pow(n183, 3);
      n199 = pow(n184, 3);
      n200 = pow(n185, 3);
      n201 = pow(n186, 3);
      n202 = pow(n187, 3);
      n203 = pow(n188, 3);
      n204 = pow(n189, 3);
      n205 = pow(n190, 3);
      n206 = pow(n191, 3);
      n207 = pow(n192, 3);
      n208 = xF[11]/n180;
      n209 = xF[13]/n182;
      n210 = xF[4]/n187;
      n211 = xF[3]/n186;
      n212 = xF[8]/n191;
      n213 = xF[6]/n189;
      n214 = xF[10]/n179;
      n215 = pow(n186, n21)*xF[3];
      n216 = xF[6]/n204;
      n217 = n2/n179;
      n218 = pow(n187, n21)*xF[4];
      n219 = -1/n178;
      n220 = xF[4]/n202;
      n221 = n2*xF[14]/n183;
      n222 = n56*xF[5]/n188;
      n223 = n52*xF[1]/n184;
      n224 = n58*xF[7]/n190;
      n225 = n53*xF[2]/n185;
      n226 = n49*xF[12]/n181;
      n227 = n51*xF[14]/n183;
      n228 = n27*n41/n192;
      n229 = n77/n199;
      n230 = pow(n178, n21)*n69;
      n231 = -n119*pow(n188, n21);
      n232 = n130/n205;
      n233 = -pow(n184, n21)*n77*xF[1];
      n234 = n62*n98/(n100*n178);
      n235 = n2*n20*n62*n98/n178;
      n236 = n106*n62*n98/n178;
      n237 = n139*n214*n62;
      n238 = n136*n208*n62;
      n239 = n114*n226*n62;
      n240 = n135*n209*n62;
      n241 = n122*n227*n62;
      n242 = n115*n223*n62;
      n243 = n113*n225*n62;
      n244 = n141*n211*n62;
      n245 = n138*n210*n62;
      n246 = n103*n222*n62;
      n247 = n140*n213*n62;
      n248 = n108*n224*n62;
      n249 = n137*n212*n62;
      n250 = n228*n62*n99;
      n251 = 0.5*n236;
      n252 = n144/n148 + 1;
      n253 = n144*n44/(n100*n148) + n44/n100;
      n254 = n116*n2 + n146*n175;
      n255 = n131 + n146*n172;
      n256 = n120*n2 + n146*n163;
      n257 = n109*n2 + n146*n168;
      n258 = n112*n2 + n146*n166;
      n259 = n144*n44*n64/n154 + n52*n64;
      n260 = n144*n44*n65/n155 + n53*n65;
      n261 = n102*n2 + n146*n169;
      n262 = n104*n2 + n146*n164;
      n263 = n144*n177*n63 + n56*n63;
      n264 = n101*n2 + n146*n170;
      n265 = n144*n44*n68/n160 + n58*n68;
      n266 = n132 + n146*n171;
      n267 = n144*n44*n66/n162 + n60*n66;
      n268 = pow(n253, -n0);
      n269 = pow(n254, -n0);
      n270 = pow(n255, -n0);
      n271 = pow(n256, -n0);
      n272 = pow(n257, -n0);
      n273 = pow(n258, -n0);
      n274 = pow(n259, -n0);
      n275 = pow(n260, -n0);
      n276 = pow(n261, -n0);
      n277 = pow(n262, -n0);
      n278 = pow(n263, -n0);
      n279 = pow(n264, -n0);
      n280 = pow(n265, -n0);
      n281 = pow(n266, -n0);
      n282 = pow(n267, -n0);
      n283 = n255*xF[11];
      n284 = n259*xF[1];
      n285 = n0*n146*n20/n148 + n0*n2*n20*n44;
      n286 = n274*xF[1];
      n287 = n106*n144*n90/n148 + n106*n90;
      n288 = pow(n181, n21)*n256;
      n289 = pow(n178, n21)*n253;
      n290 = pow(n192, n21)*n267;
      n291 = pow(n179, n21)*n254;
      n292 = pow(n182, n21)*n257;
      n293 = pow(n183, n21)*n258;
      n294 = pow(n190, n21)*n265;
      n295 = pow(n191, n21)*n266;
      n296 = pow(n189, n21)*n264*xF[6];
      n297 = n273/n198;
      n298 = n268/n193;
      n299 = n275/n200;
      n300 = n278/n203;
      n301 = pow(n178, n21)*n287;
      n302 = -n111*n289*n62;
      n303 = n0*pow(n178, n21)*n2*n20*n62*n98*(pow(alpha, NP0*n1 + n147*n20)*n144/n100 + n44/n100);
      n304 = n126*pow(n179, n21)*n43*n62*(pow(alpha, NP0*n1 - n147*n5)*n144*n2*n5 + n116*n2);
      n305 = pow(n180, n21)*n43*n48*n6*n62*xF[11]*(pow(alpha, NP0*n1 - n147*n6)*n144*n2*n6 + n131);
      n306 = n120*pow(n181, n21)*n43*n62*xF[12]*(pow(alpha, NP0*n1 - n147*n7)*n144*n2*n7 + n120*n2);
      n307 = n109*pow(n182, n21)*n43*n62*xF[13]*(pow(alpha, NP0*n1 - n147*n8)*n144*n2*n8 + n109*n2);
      n308 = n112*pow(n183, n21)*n43*n62*xF[14]*(pow(alpha, NP0*n1 - n147*n9)*n144*n2*n9 + n112*n2);
      n309 = n118*pow(n184, n21)*n43*n62*xF[1]*(pow(alpha, NP0*n1 - n10*n147)*n144*n64 + n52*n64);
      n310 = n11*pow(n185, n21)*n43*n53*n62*xF[2]*(pow(alpha, NP0*n1 - n11*n147)*n144*n65 + n53*n65);
      n311 = n102*n215*n43*n62*(pow(alpha, NP0*n1 - n12*n147)*n12*n144*n2 + n102*n2);
      n312 = n104*n218*n43*n62*(pow(alpha, NP0*n1 - n13*n147)*n13*n144*n2 + n104*n2);
      n313 = n14*pow(n188, n21)*n43*n56*n62*xF[5]*(pow(alpha, NP0*n1 - n14*n147)*n144*n63 + n56*n63);
      n314 = n101*pow(n189, n21)*n43*n62*xF[6]*(pow(alpha, NP0*n1 - n147*n15)*n144*n15*n2 + n101*n2);
      n315 = n121*pow(n190, n21)*n43*n62*xF[7]*(pow(alpha, NP0*n1 - n147*n16)*n144*n68 + n58*n68);
      n316 = n117*pow(n191, n21)*n43*n62*xF[8]*(pow(alpha, NP0*n1 - n147*n17)*n144*n17*n2 + n132);
      n317 = n18*pow(n192, n21)*n43*n62*n99*(pow(alpha, NP0*n1 - n147*n18)*n144*n66 + n60*n66);
      n318 = 1.0*n289*n62*n98/n100;
      n319 = n111*n301*n62;
      n320 = 0.5*n319;
      n321 = n234 + n302;
      n322 = -n253*n285/n193;
      n323 = pow(alpha, n1*n24)*n1*pow(n142, n21)*n175*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24)*pow(n142, n21)*n27*n28*pow(n45, n21)*n72/n149 + n107*n145*n175 + n139;
      n324 = pow(alpha, n1*n24)*n1*pow(n142, n21)*n172*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24)*pow(n142, n21)*n27*n29*pow(n45, n21)*n72/n150 + n107*n145*n172 + n136;
      n325 = pow(alpha, n1*n24)*n114*pow(n142, n21)*pow(n45, n21)*n72/n151 + pow(alpha, n1*n24)*pow(n142, n21)*n163*n20*n27*pow(n45, n21)*n72 + n114*n91 + n145*n163*n20*n44;
      n326 = pow(alpha, n1*n24)*pow(n142, n21)*n168*n20*n27*pow(n45, n21)*n72 + pow(alpha, n1*n24)*pow(n142, n21)*n27*n31*pow(n45, n21)*n72/n152 + n145*n168*n20*n44 + n27*n31*n92;
      n327 = pow(alpha, n1*n24)*n122*pow(n142, n21)*pow(n45, n21)*n72/n153 + pow(alpha, n1*n24)*pow(n142, n21)*n166*n20*n27*pow(n45, n21)*n72 + n122*n93 + n145*n166*n20*n44;
      n328 = pow(alpha, n1*n24)*n113*pow(n142, n21)*pow(n45, n21)*n72/n155 + pow(alpha, n1*n24)*pow(n142, n21)*n174*n20*n27*pow(n45, n21)*n72 + n113*n94 + n145*n174*n20*n44;
      n329 = pow(alpha, n1*n24)*pow(n142, n21)*n164*n20*n27*pow(n45, n21)*n72 + pow(alpha, n1*n24)*pow(n142, n21)*n27*n36*pow(n45, n21)*n72/n157 + n145*n164*n20*n44 + n27*n36*n95;
      n330 = pow(alpha, n1*n24)*pow(n142, n21)*n170*n20*n27*pow(n45, n21)*n72 + pow(alpha, n1*n24)*pow(n142, n21)*n27*n38*pow(n45, n21)*n72/n159 + n145*n170*n20*n44 + n27*n38*n97;
      n331 = pow(alpha, n1*n24)*n1*pow(n142, n21)*n165*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24)*n108*pow(n142, n21)*pow(n45, n21)*n72/n160 + n107*n145*n165 + n108*n58;
      n332 = pow(alpha, n1*n24)*n1*pow(n142, n21)*n171*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24)*pow(n142, n21)*n27*n40*pow(n45, n21)*n72/n161 + n107*n145*n171 + n137;
      n333 = pow(alpha, n1*n24)*n1*pow(n142, n21)*n167*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24)*pow(n142, n21)*n27*n41*pow(n45, n21)*n72/n162 + n107*n145*n167 + n27*n41*n60;
      n334 = pow(n181, n21)*n62*n74*xF[12]*(pow(alpha, n1*n24 - n147*n7)*n114*pow(n142, n21)*pow(n45, n21)*n72 + pow(alpha, n1*n24 - n147*n7)*pow(n142, n21)*n20*n27*pow(n45, n21)*n7*n72 + n114*n91 + n145*n163*n20*n44);
      n335 = pow(n182, n21)*n62*n75*xF[13]*(pow(alpha, n1*n24 - n147*n8)*pow(n142, n21)*n20*n27*pow(n45, n21)*n72*n8 + pow(alpha, n1*n24 - n147*n8)*pow(n142, n21)*n27*n31*pow(n45, n21)*n72 + n145*n168*n20*n44 + n27*n31*n92);
      n336 = n105*pow(n183, n21)*n62*(pow(alpha, n1*n24 - n147*n9)*n122*pow(n142, n21)*pow(n45, n21)*n72 + pow(alpha, n1*n24 - n147*n9)*pow(n142, n21)*n20*n27*pow(n45, n21)*n72*n9 + n122*n93 + n145*n166*n20*n44);
      n337 = n110*pow(n185, n21)*n62*(pow(alpha, n1*n24 - n11*n147)*n11*pow(n142, n21)*n20*n27*pow(n45, n21)*n72 + pow(alpha, n1*n24 - n11*n147)*n113*pow(n142, n21)*pow(n45, n21)*n72 + n113*n94 + n145*n174*n20*n44);
      n338 = n218*n62*n80*(pow(alpha, n1*n24 - n13*n147)*n13*pow(n142, n21)*n20*n27*pow(n45, n21)*n72 + pow(alpha, n1*n24 - n13*n147)*pow(n142, n21)*n27*n36*pow(n45, n21)*n72 + n145*n164*n20*n44 + n27*n36*n95);
      n339 = pow(n189, n21)*n62*n82*xF[6]*(pow(alpha, n1*n24 - n147*n15)*pow(n142, n21)*n15*n20*n27*pow(n45, n21)*n72 + pow(alpha, n1*n24 - n147*n15)*pow(n142, n21)*n27*n38*pow(n45, n21)*n72 + n145*n170*n20*n44 + n27*n38*n97);
      n340 = n127*pow(n179, n21)*n62*(pow(alpha, n1*n24 - n147*n5)*n1*pow(n142, n21)*n27*pow(n45, n21)*n5*n72 - pow(alpha, n1*n24 - n147*n5)*pow(n142, n21)*n27*n28*pow(n45, n21)*n72 + n107*n145*n175 + n139);
      n341 = pow(n180, n21)*n62*n87*xF[11]*(pow(alpha, n1*n24 - n147*n6)*n1*pow(n142, n21)*n27*pow(n45, n21)*n6*n72 - pow(alpha, n1*n24 - n147*n6)*pow(n142, n21)*n27*n29*pow(n45, n21)*n72 + n107*n145*n172 + n136);
      n342 = n233*n62*(pow(alpha, n1*n24 - n10*n147)*n1*n10*pow(n142, n21)*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n10*n147)*n115*pow(n142, n21)*pow(n45, n21)*n72 + n107*n145*n173 + n115*n52);
      n343 = n215*n62*n86*(pow(alpha, n1*n24 - n12*n147)*n1*n12*pow(n142, n21)*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n12*n147)*pow(n142, n21)*n27*n35*pow(n45, n21)*n72 + n107*n145*n169 + n141);
      n344 = n231*n62*(pow(alpha, n1*n24 - n14*n147)*n1*n14*pow(n142, n21)*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n14*n147)*n103*pow(n142, n21)*pow(n45, n21)*n72 + n103*n56 + n107*n145*n176);
      n345 = n130*pow(n190, n21)*n62*(pow(alpha, n1*n24 - n147*n16)*n1*pow(n142, n21)*n16*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n147*n16)*n108*pow(n142, n21)*pow(n45, n21)*n72 + n107*n145*n165 + n108*n58);
      n346 = n129*pow(n191, n21)*n62*(pow(alpha, n1*n24 - n147*n17)*n1*pow(n142, n21)*n17*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n147*n17)*pow(n142, n21)*n27*n40*pow(n45, n21)*n72 + n107*n145*n171 + n137);
      n347 = n125*pow(n192, n21)*n62*(pow(alpha, n1*n24 - n147*n18)*n1*pow(n142, n21)*n18*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n147*n18)*pow(n142, n21)*n27*n41*pow(n45, n21)*n72 + n107*n145*n167 + n27*n41*n60);
      n348 = n251 + n318 + n320;
      n349 = n101*n2*n213*n62 + n102*n2*n211*n62 + n104*n2*n210*n62 - n105*n293*n62 + n109*n2*n209*n62 - n110*pow(n185, n21)*n260*n62 + n112*n221*n62 + n124*n288*n62 + n125*n290*n62 + n126*n217*n62 + n127*n291*n62 + n128*n292*n62 + n129*n295*n62 + n130*n294*n62 + n131*n208*n62 + n132*n212*n62 + n134*n62/n181 + pow(n180, n21)*n283*n62*n87 + n215*n261*n62*n86 + n218*n262*n62*n89 + n222*n62*n63 + n223*n62*n64 + n224*n62*n68 + n225*n62*n65 + n231*n263*n62 + n233*n259*n62 + n296*n62*n88 + n321 + n62*n66*n99/n192;
      n350 = n349*xTj;
      n351 = n236 + n237 + n238 + n239 + n240 + n241 + n242 + n243 + n244 + n245 + n246 + n247 + n248 + n249 + n250 + n303 + n304 + n305 + n306 + n307 + n308 + n309 + n310 + n311 + n312 + n313 + n314 + n315 + n316 + n317 + n319 + n334 + n335 + n336 + n337 + n338 + n339 + n340 + n341 + n342 + n343 + n344 + n345 + n346 + n347;
      n352 = -n105*n258*n62*(n112*n43 + n144*n166*n43*n44)/n198 - n110*n260*n62*(n11*n43*n53 + n144*n174*n43*n44)/n200 + n111*n322*n62 - n119*n263*n62*(n14*n43*n56 + n144*n176*n43*n44)/n203 + n124*n256*n62*(n120*n43 + n144*n163*n43*n44)/n196 + n125*n267*n62*(n144*n167*n43*n44 + n18*n43*n60)/n207 + n127*n254*n62*(n116*n43 + n144*n175*n43*n44)/n194 + n128*n257*n62*(n109*n43 + n144*n168*n43*n44)/n197 + n129*n266*n62*(n117*n43 + n144*n171*n43*n44)/n206 + n216*n264*n62*n88*(n101*n43 + n144*n170*n43*n44) + n220*n262*n62*n89*(n104*n43 + n144*n164*n43*n44) - n229*n284*n62*(n118*n43 + n144*n173*n43*n44) + n232*n265*n62*(n121*n43 + n144*n165*n43*n44) + n351 + n261*n62*n86*xF[3]*(n102*n43 + n144*n169*n43*n44)/n201 + n283*n62*n87*(n144*n172*n43*n44 + n43*n48*n6)/n195;
      NP_b = -n235 - n24*(0.5*n111*pow(n178, n21)*n62*(pow(alpha, NP0*n1 - n1*n147)*n106*(-n22 + xPj*xTj)/(n142*n45) + n106*n90) - 1.0*n111*n298*n62 + n251 - 0.5*xTj*(n105*pow(n183, n21)*n62*(pow(alpha, NP0*n1 - n147*n9)*n145*n20*n9 + pow(alpha, n1*n24 - n147*n9)*n122*pow(n142, n21)*pow(n45, n21)*n72 + pow(alpha, n1*n24 - n147*n9)*pow(n142, n21)*n20*n27*pow(n45, n21)*n72*n9 + n122*n93) + n105*n21*n297*n62 + n110*pow(n185, n21)*n62*(pow(alpha, NP0*n1 - n11*n147)*n11*n145*n20 + pow(alpha, n1*n24 - n11*n147)*n11*pow(n142, n21)*n20*n27*pow(n45, n21)*n72 + pow(alpha, n1*n24 - n11*n147)*n113*pow(n142, n21)*pow(n45, n21)*n72 + n113*n94) + n110*n21*n299*n62 + n111*pow(n178, n21)*n62*(pow(alpha, NP0*n1 - n1*n147)*n106*(-n22 + xPj*xTj)/(n142*n45) + n106*n90) + n111*n21*n298*n62 + n119*n21*n300*n62 + n125*pow(n192, n21)*n62*(pow(alpha, NP0*n1 - n147*n18)*n1*n145*n18 + pow(alpha, n1*n24 - n147*n18)*n1*pow(n142, n21)*n18*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n147*n18)*pow(n142, n21)*n27*n41*pow(n45, n21)*n72 + n27*n41*n60) + n127*pow(n179, n21)*n62*(pow(alpha, NP0*n1 - n147*n5)*n1*n145*n5 + pow(alpha, n1*n24 - n147*n5)*n1*pow(n142, n21)*n27*pow(n45, n21)*n5*n72 - pow(alpha, n1*n24 - n147*n5)*pow(n142, n21)*n27*n28*pow(n45, n21)*n72 + n139) + n129*pow(n191, n21)*n62*(pow(alpha, NP0*n1 - n147*n17)*n1*n145*n17 + pow(alpha, n1*n24 - n147*n17)*n1*pow(n142, n21)*n17*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n147*n17)*pow(n142, n21)*n27*n40*pow(n45, n21)*n72 + n137) + n130*pow(n190, n21)*n62*(pow(alpha, NP0*n1 - n147*n16)*n1*n145*n16 + pow(alpha, n1*n24 - n147*n16)*n1*pow(n142, n21)*n16*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n147*n16)*n108*pow(n142, n21)*pow(n45, n21)*n72 + n108*n58) + pow(n180, n21)*n62*n87*xF[11]*(pow(alpha, NP0*n1 - n147*n6)*n1*n145*n6 + pow(alpha, n1*n24 - n147*n6)*n1*pow(n142, n21)*n27*pow(n45, n21)*n6*n72 - pow(alpha, n1*n24 - n147*n6)*pow(n142, n21)*n27*n29*pow(n45, n21)*n72 + n136) + pow(n181, n21)*n62*n74*xF[12]*(pow(alpha, NP0*n1 - n147*n7)*n145*n20*n7 + pow(alpha, n1*n24 - n147*n7)*n114*pow(n142, n21)*pow(n45, n21)*n72 + pow(alpha, n1*n24 - n147*n7)*pow(n142, n21)*n20*n27*pow(n45, n21)*n7*n72 + n114*n91) + pow(n182, n21)*n62*n75*xF[13]*(pow(alpha, NP0*n1 - n147*n8)*n145*n20*n8 + pow(alpha, n1*n24 - n147*n8)*pow(n142, n21)*n20*n27*pow(n45, n21)*n72*n8 + pow(alpha, n1*n24 - n147*n8)*pow(n142, n21)*n27*n31*pow(n45, n21)*n72 + n27*n31*n92) + pow(n189, n21)*n62*n82*xF[6]*(pow(alpha, NP0*n1 - n147*n15)*n145*n15*n20 + pow(alpha, n1*n24 - n147*n15)*pow(n142, n21)*n15*n20*n27*pow(n45, n21)*n72 + pow(alpha, n1*n24 - n147*n15)*pow(n142, n21)*n27*n38*pow(n45, n21)*n72 + n27*n38*n97) + n21*n216*n279*n62*n82 + n21*n220*n277*n62*n80 + n21*n229*n286*n62 + n215*n62*n86*(pow(alpha, NP0*n1 - n12*n147)*n1*n12*n145 + pow(alpha, n1*n24 - n12*n147)*n1*n12*pow(n142, n21)*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n12*n147)*pow(n142, n21)*n27*n35*pow(n45, n21)*n72 + n141) + n218*n62*n80*(pow(alpha, NP0*n1 - n13*n147)*n13*n145*n20 + pow(alpha, n1*n24 - n13*n147)*n13*pow(n142, n21)*n20*n27*pow(n45, n21)*n72 + pow(alpha, n1*n24 - n13*n147)*pow(n142, n21)*n27*n36*pow(n45, n21)*n72 + n27*n36*n95) + n231*n62*(pow(alpha, NP0*n1 - n14*n147)*n1*n14*n145 + pow(alpha, n1*n24 - n14*n147)*n1*n14*pow(n142, n21)*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n14*n147)*n103*pow(n142, n21)*pow(n45, n21)*n72 + n103*n56) + n233*n62*(pow(alpha, NP0*n1 - n10*n147)*n1*n10*n145 + pow(alpha, n1*n24 - n10*n147)*n1*n10*pow(n142, n21)*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n10*n147)*n115*pow(n142, n21)*pow(n45, n21)*n72 + n115*n52) + n236 + n237 + n238 + n239 + n240 + n241 + n242 + n243 + n244 + n245 + n246 + n247 + n248 + n249 + n250 + n303 + n304 + n305 + n306 + n307 + n308 + n309 + n310 + n311 + n312 + n313 + n314 + n315 + n316 + n317 + n21*n282*n62*n85*xF[9]/n207 + n21*n281*n62*n84*xF[8]/n206 + n21*n280*n62*n83*xF[7]/n205 + n21*n276*n62*n79*xF[3]/n201 + n21*n272*n62*n75*xF[13]/n197 + n21*n271*n62*n74*xF[12]/n196 + n21*n270*n62*n73*xF[11]/n195 + n21*n269*n62*n70*xF[10]/n194) + 1.0*pow(n178, n21)*n62*n98*(pow(alpha, NP0*n1 - n1*n147)*n144/n100 + n44/n100)/n100) - n62*xTj*(n101*n2*n213 + n102*n2*n211 + n104*n2*n210 - n105*n293 + n109*n2*n209 - n110*pow(n185, n21)*n260 - n111*n289 + n112*n221 + n124*n288 + n125*n290 + n126*n217 + n127*n291 + n128*n292 + n129*n295 + n130*n294 + n131*n208 + n132*n212 + n134/n181 + pow(n180, n21)*n283*n87 + n215*n261*n86 + n218*n262*n89 + n222*n63 + n223*n64 + n224*n68 + n225*n65 + n231*n263 + n233*n259 + n296*n88 + n66*n99/n192 + n98/(n100*n178)) - n230*n252*n62*n98/n100;
      NP_2a = -n62*(-pow(alpha, n1*n24)*n0*n106*n111*pow(n252, -n0)/n193 + pow(alpha, n1*n24)*n0*n106*pow(n178, n21)*n252*xF[0] + n106*n111*pow(n178, n21)*n90*(-1 + (-n22 + xPj*xTj)/(n142*n148*n45)) - 1.0*n106*n98/n178 + 1.0*xTj*(n0*pow(n178, n21)*n2*n20*n98*(pow(alpha, NP0*n1 + n147*n20)*n144/n100 + n44/n100) + n101*pow(n189, n21)*n43*xF[6]*(pow(alpha, NP0*n1 - n147*n15)*n144*n15*n2 + n101*n2) + n102*n215*n43*(pow(alpha, NP0*n1 - n12*n147)*n12*n144*n2 + n102*n2) + n103*n222 + n104*n218*n43*(pow(alpha, NP0*n1 - n13*n147)*n13*n144*n2 + n104*n2) + n105*pow(n183, n21)*(pow(alpha, n1*n24 - n147*n9)*n122*pow(n142, n21)*pow(n45, n21)*n72 + pow(alpha, n1*n24 - n147*n9)*pow(n142, n21)*n20*n27*pow(n45, n21)*n72*n9 + n122*n93 + n145*n166*n20*n44) + n105*n21*n297 + n106*n98/n178 + n108*n224 + n109*pow(n182, n21)*n43*xF[13]*(pow(alpha, NP0*n1 - n147*n8)*n144*n2*n8 + n109*n2) + n11*pow(n185, n21)*n43*n53*xF[2]*(pow(alpha, NP0*n1 - n11*n147)*n144*n65 + n53*n65) + n110*pow(n185, n21)*(pow(alpha, n1*n24 - n11*n147)*n11*pow(n142, n21)*n20*n27*pow(n45, n21)*n72 + pow(alpha, n1*n24 - n11*n147)*n113*pow(n142, n21)*pow(n45, n21)*n72 + n113*n94 + n145*n174*n20*n44) + n110*n21*n299 + n111*n21*n298 + n111*n301 + n112*pow(n183, n21)*n43*xF[14]*(pow(alpha, NP0*n1 - n147*n9)*n144*n2*n9 + n112*n2) + n113*n225 + n114*n226 + n115*n223 + n117*pow(n191, n21)*n43*xF[8]*(pow(alpha, NP0*n1 - n147*n17)*n144*n17*n2 + n132) + n118*pow(n184, n21)*n43*xF[1]*(pow(alpha, NP0*n1 - n10*n147)*n144*n64 + n52*n64) + n119*n21*n300 + n120*pow(n181, n21)*n43*xF[12]*(pow(alpha, NP0*n1 - n147*n7)*n144*n2*n7 + n120*n2) + n121*pow(n190, n21)*n43*xF[7]*(pow(alpha, NP0*n1 - n147*n16)*n144*n68 + n58*n68) + n122*n227 + n125*pow(n192, n21)*(pow(alpha, n1*n24 - n147*n18)*n1*pow(n142, n21)*n18*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n147*n18)*pow(n142, n21)*n27*n41*pow(n45, n21)*n72 + n107*n145*n167 + n27*n41*n60) + n126*pow(n179, n21)*n43*(pow(alpha, NP0*n1 - n147*n5)*n144*n2*n5 + n116*n2) + n127*pow(n179, n21)*(pow(alpha, n1*n24 - n147*n5)*n1*pow(n142, n21)*n27*pow(n45, n21)*n5*n72 - pow(alpha, n1*n24 - n147*n5)*pow(n142, n21)*n27*n28*pow(n45, n21)*n72 + n107*n145*n175 + n139) + n129*pow(n191, n21)*(pow(alpha, n1*n24 - n147*n17)*n1*pow(n142, n21)*n17*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n147*n17)*pow(n142, n21)*n27*n40*pow(n45, n21)*n72 + n107*n145*n171 + n137) + n130*pow(n190, n21)*(pow(alpha, n1*n24 - n147*n16)*n1*pow(n142, n21)*n16*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n147*n16)*n108*pow(n142, n21)*pow(n45, n21)*n72 + n107*n145*n165 + n108*n58) + n135*n209 + n136*n208 + n137*n212 + n138*n210 + n139*n214 + n14*pow(n188, n21)*n43*n56*xF[5]*(pow(alpha, NP0*n1 - n14*n147)*n144*n63 + n56*n63) + n140*n213 + n141*n211 + n18*pow(n192, n21)*n43*n99*(pow(alpha, NP0*n1 - n147*n18)*n144*n66 + n60*n66) + pow(n180, n21)*n43*n48*n6*xF[11]*(pow(alpha, NP0*n1 - n147*n6)*n144*n2*n6 + n131) + pow(n180, n21)*n87*xF[11]*(pow(alpha, n1*n24 - n147*n6)*n1*pow(n142, n21)*n27*pow(n45, n21)*n6*n72 - pow(alpha, n1*n24 - n147*n6)*pow(n142, n21)*n27*n29*pow(n45, n21)*n72 + n107*n145*n172 + n136) + pow(n181, n21)*n74*xF[12]*(pow(alpha, n1*n24 - n147*n7)*n114*pow(n142, n21)*pow(n45, n21)*n72 + pow(alpha, n1*n24 - n147*n7)*pow(n142, n21)*n20*n27*pow(n45, n21)*n7*n72 + n114*n91 + n145*n163*n20*n44) + pow(n182, n21)*n75*xF[13]*(pow(alpha, n1*n24 - n147*n8)*pow(n142, n21)*n20*n27*pow(n45, n21)*n72*n8 + pow(alpha, n1*n24 - n147*n8)*pow(n142, n21)*n27*n31*pow(n45, n21)*n72 + n145*n168*n20*n44 + n27*n31*n92) + pow(n189, n21)*n82*xF[6]*(pow(alpha, n1*n24 - n147*n15)*pow(n142, n21)*n15*n20*n27*pow(n45, n21)*n72 + pow(alpha, n1*n24 - n147*n15)*pow(n142, n21)*n27*n38*pow(n45, n21)*n72 + n145*n170*n20*n44 + n27*n38*n97) + n21*n216*n279*n82 + n21*n220*n277*n80 + n21*n229*n286 + n215*n86*(pow(alpha, n1*n24 - n12*n147)*n1*n12*pow(n142, n21)*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n12*n147)*pow(n142, n21)*n27*n35*pow(n45, n21)*n72 + n107*n145*n169 + n141) + n218*n80*(pow(alpha, n1*n24 - n13*n147)*n13*pow(n142, n21)*n20*n27*pow(n45, n21)*n72 + pow(alpha, n1*n24 - n13*n147)*pow(n142, n21)*n27*n36*pow(n45, n21)*n72 + n145*n164*n20*n44 + n27*n36*n95) + n228*n99 + n231*(pow(alpha, n1*n24 - n14*n147)*n1*n14*pow(n142, n21)*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n14*n147)*n103*pow(n142, n21)*pow(n45, n21)*n72 + n103*n56 + n107*n145*n176) + n233*(pow(alpha, n1*n24 - n10*n147)*n1*n10*pow(n142, n21)*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n10*n147)*n115*pow(n142, n21)*pow(n45, n21)*n72 + n107*n145*n173 + n115*n52) + n21*n282*n85*xF[9]/n207 + n21*n281*n84*xF[8]/n206 + n21*n280*n83*xF[7]/n205 + n21*n276*n79*xF[3]/n201 + n21*n272*n75*xF[13]/n197 + n21*n271*n74*xF[12]/n196 + n21*n270*n73*xF[11]/n195 + n21*n269*n70*xF[10]/n194));
      NP_sqrt_base = (NP0*(n25*(n101*n2*n213*n62 + n102*n2*n211*n62 + n104*n2*n210*n62 - n105*pow(n183, n21)*n62*(pow(alpha, NP0*n1 - n147*n9)*n144*n2*n9 + n112*n2) + n109*n2*n209*n62 - n110*pow(n185, n21)*n62*(pow(alpha, NP0*n1 - n11*n147)*n144*n65 + n53*n65) - n111*pow(n178, n21)*n62*(pow(alpha, NP0*n1 - n1*n147)*n144/n100 + n44/n100) + n112*n221*n62 + n124*pow(n181, n21)*n62*(pow(alpha, NP0*n1 - n147*n7)*n144*n2*n7 + n120*n2) + n125*pow(n192, n21)*n62*(pow(alpha, NP0*n1 - n147*n18)*n144*n66 + n60*n66) + n126*n217*n62 + n127*pow(n179, n21)*n62*(pow(alpha, NP0*n1 - n147*n5)*n144*n2*n5 + n116*n2) + n128*pow(n182, n21)*n62*(pow(alpha, NP0*n1 - n147*n8)*n144*n2*n8 + n109*n2) + n129*pow(n191, n21)*n62*(pow(alpha, NP0*n1 - n147*n17)*n144*n17*n2 + n132) + n130*pow(n190, n21)*n62*(pow(alpha, NP0*n1 - n147*n16)*n144*n68 + n58*n68) + n131*n208*n62 + n132*n212*n62 + n134*n62/n181 + pow(n180, n21)*n62*n87*xF[11]*(pow(alpha, NP0*n1 - n147*n6)*n144*n2*n6 + n131) + pow(n189, n21)*n62*n88*xF[6]*(pow(alpha, NP0*n1 - n147*n15)*n144*n15*n2 + n101*n2) + n215*n62*n86*(pow(alpha, NP0*n1 - n12*n147)*n12*n144*n2 + n102*n2) + n218*n62*n89*(pow(alpha, NP0*n1 - n13*n147)*n13*n144*n2 + n104*n2) + n222*n62*n63 + n223*n62*n64 + n224*n62*n68 + n225*n62*n65 + n231*n62*(pow(alpha, NP0*n1 - n14*n147)*n144*n63 + n56*n63) + n233*n62*(pow(alpha, NP0*n1 - n10*n147)*n144*n64 + n52*n64) + n234 + n62*n66*n99/n192) + n321) + n111*n62/n178 + xTj*(-n105*n62/n183 - n110*n62/n185 + n111*n219*n62 - n119*n62/n188 + n124*n62/n181 + n125*n62/n192 + n127*n62/n179 + n128*n62/n182 + n129*n62/n191 + n130*n62/n190 + n208*n62*n87 + n210*n62*n89 + n211*n62*n86 + n213*n62*n88 - n62*n77*xF[1]/n184) + pow(NP0, -n0)*(0.5*n111*n253*n285*n62/n193 - 0.5*n236 - 0.5*n319 + 0.5*n352*xTj - 1.0*n289*n62*n98/n100))*(-n0*n236 - n0*n25*(n105*pow(n183, n21)*n62*(pow(alpha, NP0*n1 - n147*n9)*n145*n20*n9 + pow(alpha, n1*n24 - n147*n9)*n122*pow(n142, n21)*pow(n45, n21)*n72 + pow(alpha, n1*n24 - n147*n9)*pow(n142, n21)*n20*n27*pow(n45, n21)*n72*n9 + n122*n93) - n105*n62*(pow(alpha, NP0*n1 - n147*n9)*n144*n2*n9 + n112*n2)*(pow(alpha, NP0*n1 - n147*n9)*n144*n43*n9 + n112*n43)/n198 + n110*pow(n185, n21)*n62*(pow(alpha, NP0*n1 - n11*n147)*n11*n145*n20 + pow(alpha, n1*n24 - n11*n147)*n11*pow(n142, n21)*n20*n27*pow(n45, n21)*n72 + pow(alpha, n1*n24 - n11*n147)*n113*pow(n142, n21)*pow(n45, n21)*n72 + n113*n94) - n110*n62*(pow(alpha, NP0*n1 - n11*n147)*n144*n65 + n53*n65)*(pow(alpha, NP0*n1 - n11*n147)*n11*n144*n43 + n11*n43*n53)/n200 + n111*pow(n178, n21)*n62*(pow(alpha, NP0*n1 - n1*n147)*n106*(-n22 + xPj*xTj)/(n142*n45) + n106*n90) - n111*n62*(pow(alpha, NP0*n1 - n1*n147)*n144/n100 + n44/n100)*(pow(alpha, NP0*n1 - n1*n147)*n0*n144*n2*n20 + n0*n2*n20*n44)/n193 - n119*n62*(pow(alpha, NP0*n1 - n14*n147)*n144*n63 + n56*n63)*(pow(alpha, NP0*n1 - n14*n147)*n14*n144*n43 + n14*n43*n56)/n203 + n124*n62*(pow(alpha, NP0*n1 - n147*n7)*n144*n2*n7 + n120*n2)*(pow(alpha, NP0*n1 - n147*n7)*n144*n43*n7 + n120*n43)/n196 + n125*pow(n192, n21)*n62*(pow(alpha, NP0*n1 - n147*n18)*n1*n145*n18 + pow(alpha, n1*n24 - n147*n18)*n1*pow(n142, n21)*n18*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n147*n18)*pow(n142, n21)*n27*n41*pow(n45, n21)*n72 + n27*n41*n60) + n125*n62*(pow(alpha, NP0*n1 - n147*n18)*n144*n66 + n60*n66)*(pow(alpha, NP0*n1 - n147*n18)*n144*n18*n43 + n18*n43*n60)/n207 + n127*pow(n179, n21)*n62*(pow(alpha, NP0*n1 - n147*n5)*n1*n145*n5 + pow(alpha, n1*n24 - n147*n5)*n1*pow(n142, n21)*n27*pow(n45, n21)*n5*n72 - pow(alpha, n1*n24 - n147*n5)*pow(n142, n21)*n27*n28*pow(n45, n21)*n72 + n139) + n127*n62*(pow(alpha, NP0*n1 - n147*n5)*n144*n2*n5 + n116*n2)*(pow(alpha, NP0*n1 - n147*n5)*n144*n43*n5 + n116*n43)/n194 + n128*n62*(pow(alpha, NP0*n1 - n147*n8)*n144*n2*n8 + n109*n2)*(pow(alpha, NP0*n1 - n147*n8)*n144*n43*n8 + n109*n43)/n197 + n129*pow(n191, n21)*n62*(pow(alpha, NP0*n1 - n147*n17)*n1*n145*n17 + pow(alpha, n1*n24 - n147*n17)*n1*pow(n142, n21)*n17*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n147*n17)*pow(n142, n21)*n27*n40*pow(n45, n21)*n72 + n137) + n129*n62*(pow(alpha, NP0*n1 - n147*n17)*n144*n17*n2 + n132)*(pow(alpha, NP0*n1 - n147*n17)*n144*n17*n43 + n117*n43)/n206 + n130*pow(n190, n21)*n62*(pow(alpha, NP0*n1 - n147*n16)*n1*n145*n16 + pow(alpha, n1*n24 - n147*n16)*n1*pow(n142, n21)*n16*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n147*n16)*n108*pow(n142, n21)*pow(n45, n21)*n72 + n108*n58) + pow(n180, n21)*n62*n87*xF[11]*(pow(alpha, NP0*n1 - n147*n6)*n1*n145*n6 + pow(alpha, n1*n24 - n147*n6)*n1*pow(n142, n21)*n27*pow(n45, n21)*n6*n72 - pow(alpha, n1*n24 - n147*n6)*pow(n142, n21)*n27*n29*pow(n45, n21)*n72 + n136) + pow(n181, n21)*n62*n74*xF[12]*(pow(alpha, NP0*n1 - n147*n7)*n145*n20*n7 + pow(alpha, n1*n24 - n147*n7)*n114*pow(n142, n21)*pow(n45, n21)*n72 + pow(alpha, n1*n24 - n147*n7)*pow(n142, n21)*n20*n27*pow(n45, n21)*n7*n72 + n114*n91) + pow(n182, n21)*n62*n75*xF[13]*(pow(alpha, NP0*n1 - n147*n8)*n145*n20*n8 + pow(alpha, n1*n24 - n147*n8)*pow(n142, n21)*n20*n27*pow(n45, n21)*n72*n8 + pow(alpha, n1*n24 - n147*n8)*pow(n142, n21)*n27*n31*pow(n45, n21)*n72 + n27*n31*n92) + pow(n189, n21)*n62*n82*xF[6]*(pow(alpha, NP0*n1 - n147*n15)*n145*n15*n20 + pow(alpha, n1*n24 - n147*n15)*pow(n142, n21)*n15*n20*n27*pow(n45, n21)*n72 + pow(alpha, n1*n24 - n147*n15)*pow(n142, n21)*n27*n38*pow(n45, n21)*n72 + n27*n38*n97) + n215*n62*n86*(pow(alpha, NP0*n1 - n12*n147)*n1*n12*n145 + pow(alpha, n1*n24 - n12*n147)*n1*n12*pow(n142, n21)*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n12*n147)*pow(n142, n21)*n27*n35*pow(n45, n21)*n72 + n141) + n216*n62*n88*(pow(alpha, NP0*n1 - n147*n15)*n144*n15*n2 + n101*n2)*(pow(alpha, NP0*n1 - n147*n15)*n144*n15*n43 + n101*n43) + n218*n62*n80*(pow(alpha, NP0*n1 - n13*n147)*n13*n145*n20 + pow(alpha, n1*n24 - n13*n147)*n13*pow(n142, n21)*n20*n27*pow(n45, n21)*n72 + pow(alpha, n1*n24 - n13*n147)*pow(n142, n21)*n27*n36*pow(n45, n21)*n72 + n27*n36*n95) + n220*n62*n89*(pow(alpha, NP0*n1 - n13*n147)*n13*n144*n2 + n104*n2)*(pow(alpha, NP0*n1 - n13*n147)*n13*n144*n43 + n104*n43) - n229*n62*xF[1]*(pow(alpha, NP0*n1 - n10*n147)*n144*n64 + n52*n64)*(pow(alpha, NP0*n1 - n10*n147)*n10*n144*n43 + n118*n43) + n231*n62*(pow(alpha, NP0*n1 - n14*n147)*n1*n14*n145 + pow(alpha, n1*n24 - n14*n147)*n1*n14*pow(n142, n21)*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n14*n147)*n103*pow(n142, n21)*pow(n45, n21)*n72 + n103*n56) + n232*n62*(pow(alpha, NP0*n1 - n147*n16)*n144*n68 + n58*n68)*(pow(alpha, NP0*n1 - n147*n16)*n144*n16*n43 + n121*n43) + n233*n62*(pow(alpha, NP0*n1 - n10*n147)*n1*n10*n145 + pow(alpha, n1*n24 - n10*n147)*n1*n10*pow(n142, n21)*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n10*n147)*n115*pow(n142, n21)*pow(n45, n21)*n72 + n115*n52) + n236 + n237 + n238 + n239 + n240 + n241 + n242 + n243 + n244 + n245 + n246 + n247 + n248 + n249 + n250 + n303 + n304 + n305 + n306 + n307 + n308 + n309 + n310 + n311 + n312 + n313 + n314 + n315 + n316 + n317 + n62*n86*xF[3]*(pow(alpha, NP0*n1 - n12*n147)*n12*n144*n2 + n102*n2)*(pow(alpha, NP0*n1 - n12*n147)*n12*n144*n43 + n102*n43)/n201 + n62*n87*xF[11]*(pow(alpha, NP0*n1 - n147*n6)*n144*n2*n6 + n131)*(pow(alpha, NP0*n1 - n147*n6)*n144*n43*n6 + n43*n48*n6)/n195) - n0*n319 - 4.0*n111*n298*n62 + 4.0*n289*n62*n98/n100) + pow(-n111*n289*n62 - n235 - n24*(0.5*n111*pow(n178, n21)*n62*(pow(alpha, NP0*n1 - n1*n147)*n106*(-n22 + xPj*xTj)/(n142*n45) + n106*n90) - 0.5*n111*n62*(pow(alpha, NP0*n1 - n1*n147)*n144/n100 + n44/n100)*(pow(alpha, NP0*n1 - n1*n147)*n0*n144*n2*n20 + n0*n2*n20*n44)/n193 + n251 - 0.5*xTj*(n105*pow(n183, n21)*n62*(pow(alpha, NP0*n1 - n147*n9)*n145*n20*n9 + pow(alpha, n1*n24 - n147*n9)*n122*pow(n142, n21)*pow(n45, n21)*n72 + pow(alpha, n1*n24 - n147*n9)*pow(n142, n21)*n20*n27*pow(n45, n21)*n72*n9 + n122*n93) - n105*n62*(pow(alpha, NP0*n1 - n147*n9)*n144*n2*n9 + n112*n2)*(pow(alpha, NP0*n1 - n147*n9)*n144*n43*n9 + n112*n43)/n198 + n110*pow(n185, n21)*n62*(pow(alpha, NP0*n1 - n11*n147)*n11*n145*n20 + pow(alpha, n1*n24 - n11*n147)*n11*pow(n142, n21)*n20*n27*pow(n45, n21)*n72 + pow(alpha, n1*n24 - n11*n147)*n113*pow(n142, n21)*pow(n45, n21)*n72 + n113*n94) - n110*n62*(pow(alpha, NP0*n1 - n11*n147)*n144*n65 + n53*n65)*(pow(alpha, NP0*n1 - n11*n147)*n11*n144*n43 + n11*n43*n53)/n200 + n111*pow(n178, n21)*n62*(pow(alpha, NP0*n1 - n1*n147)*n106*(-n22 + xPj*xTj)/(n142*n45) + n106*n90) - n111*n62*(pow(alpha, NP0*n1 - n1*n147)*n144/n100 + n44/n100)*(pow(alpha, NP0*n1 - n1*n147)*n0*n144*n2*n20 + n0*n2*n20*n44)/n193 - n119*n62*(pow(alpha, NP0*n1 - n14*n147)*n144*n63 + n56*n63)*(pow(alpha, NP0*n1 - n14*n147)*n14*n144*n43 + n14*n43*n56)/n203 + n124*n62*(pow(alpha, NP0*n1 - n147*n7)*n144*n2*n7 + n120*n2)*(pow(alpha, NP0*n1 - n147*n7)*n144*n43*n7 + n120*n43)/n196 + n125*pow(n192, n21)*n62*(pow(alpha, NP0*n1 - n147*n18)*n1*n145*n18 + pow(alpha, n1*n24 - n147*n18)*n1*pow(n142, n21)*n18*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n147*n18)*pow(n142, n21)*n27*n41*pow(n45, n21)*n72 + n27*n41*n60) + n125*n62*(pow(alpha, NP0*n1 - n147*n18)*n144*n66 + n60*n66)*(pow(alpha, NP0*n1 - n147*n18)*n144*n18*n43 + n18*n43*n60)/n207 + n127*pow(n179, n21)*n62*(pow(alpha, NP0*n1 - n147*n5)*n1*n145*n5 + pow(alpha, n1*n24 - n147*n5)*n1*pow(n142, n21)*n27*pow(n45, n21)*n5*n72 - pow(alpha, n1*n24 - n147*n5)*pow(n142, n21)*n27*n28*pow(n45, n21)*n72 + n139) + n127*n62*(pow(alpha, NP0*n1 - n147*n5)*n144*n2*n5 + n116*n2)*(pow(alpha, NP0*n1 - n147*n5)*n144*n43*n5 + n116*n43)/n194 + n128*n62*(pow(alpha, NP0*n1 - n147*n8)*n144*n2*n8 + n109*n2)*(pow(alpha, NP0*n1 - n147*n8)*n144*n43*n8 + n109*n43)/n197 + n129*pow(n191, n21)*n62*(pow(alpha, NP0*n1 - n147*n17)*n1*n145*n17 + pow(alpha, n1*n24 - n147*n17)*n1*pow(n142, n21)*n17*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n147*n17)*pow(n142, n21)*n27*n40*pow(n45, n21)*n72 + n137) + n129*n62*(pow(alpha, NP0*n1 - n147*n17)*n144*n17*n2 + n132)*(pow(alpha, NP0*n1 - n147*n17)*n144*n17*n43 + n117*n43)/n206 + n130*pow(n190, n21)*n62*(pow(alpha, NP0*n1 - n147*n16)*n1*n145*n16 + pow(alpha, n1*n24 - n147*n16)*n1*pow(n142, n21)*n16*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n147*n16)*n108*pow(n142, n21)*pow(n45, n21)*n72 + n108*n58) + pow(n180, n21)*n62*n87*xF[11]*(pow(alpha, NP0*n1 - n147*n6)*n1*n145*n6 + pow(alpha, n1*n24 - n147*n6)*n1*pow(n142, n21)*n27*pow(n45, n21)*n6*n72 - pow(alpha, n1*n24 - n147*n6)*pow(n142, n21)*n27*n29*pow(n45, n21)*n72 + n136) + pow(n181, n21)*n62*n74*xF[12]*(pow(alpha, NP0*n1 - n147*n7)*n145*n20*n7 + pow(alpha, n1*n24 - n147*n7)*n114*pow(n142, n21)*pow(n45, n21)*n72 + pow(alpha, n1*n24 - n147*n7)*pow(n142, n21)*n20*n27*pow(n45, n21)*n7*n72 + n114*n91) + pow(n182, n21)*n62*n75*xF[13]*(pow(alpha, NP0*n1 - n147*n8)*n145*n20*n8 + pow(alpha, n1*n24 - n147*n8)*pow(n142, n21)*n20*n27*pow(n45, n21)*n72*n8 + pow(alpha, n1*n24 - n147*n8)*pow(n142, n21)*n27*n31*pow(n45, n21)*n72 + n27*n31*n92) + pow(n189, n21)*n62*n82*xF[6]*(pow(alpha, NP0*n1 - n147*n15)*n145*n15*n20 + pow(alpha, n1*n24 - n147*n15)*pow(n142, n21)*n15*n20*n27*pow(n45, n21)*n72 + pow(alpha, n1*n24 - n147*n15)*pow(n142, n21)*n27*n38*pow(n45, n21)*n72 + n27*n38*n97) + n215*n62*n86*(pow(alpha, NP0*n1 - n12*n147)*n1*n12*n145 + pow(alpha, n1*n24 - n12*n147)*n1*n12*pow(n142, n21)*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n12*n147)*pow(n142, n21)*n27*n35*pow(n45, n21)*n72 + n141) + n216*n62*n88*(pow(alpha, NP0*n1 - n147*n15)*n144*n15*n2 + n101*n2)*(pow(alpha, NP0*n1 - n147*n15)*n144*n15*n43 + n101*n43) + n218*n62*n80*(pow(alpha, NP0*n1 - n13*n147)*n13*n145*n20 + pow(alpha, n1*n24 - n13*n147)*n13*pow(n142, n21)*n20*n27*pow(n45, n21)*n72 + pow(alpha, n1*n24 - n13*n147)*pow(n142, n21)*n27*n36*pow(n45, n21)*n72 + n27*n36*n95) + n220*n62*n89*(pow(alpha, NP0*n1 - n13*n147)*n13*n144*n2 + n104*n2)*(pow(alpha, NP0*n1 - n13*n147)*n13*n144*n43 + n104*n43) - n229*n62*xF[1]*(pow(alpha, NP0*n1 - n10*n147)*n144*n64 + n52*n64)*(pow(alpha, NP0*n1 - n10*n147)*n10*n144*n43 + n118*n43) + n231*n62*(pow(alpha, NP0*n1 - n14*n147)*n1*n14*n145 + pow(alpha, n1*n24 - n14*n147)*n1*n14*pow(n142, n21)*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n14*n147)*n103*pow(n142, n21)*pow(n45, n21)*n72 + n103*n56) + n232*n62*(pow(alpha, NP0*n1 - n147*n16)*n144*n68 + n58*n68)*(pow(alpha, NP0*n1 - n147*n16)*n144*n16*n43 + n121*n43) + n233*n62*(pow(alpha, NP0*n1 - n10*n147)*n1*n10*n145 + pow(alpha, n1*n24 - n10*n147)*n1*n10*pow(n142, n21)*n27*pow(n45, n21)*n72 - pow(alpha, n1*n24 - n10*n147)*n115*pow(n142, n21)*pow(n45, n21)*n72 + n115*n52) + n236 + n237 + n238 + n239 + n240 + n241 + n242 + n243 + n244 + n245 + n246 + n247 + n248 + n249 + n250 + n303 + n304 + n305 + n306 + n307 + n308 + n309 + n310 + n311 + n312 + n313 + n314 + n315 + n316 + n317 + n62*n86*xF[3]*(pow(alpha, NP0*n1 - n12*n147)*n12*n144*n2 + n102*n2)*(pow(alpha, NP0*n1 - n12*n147)*n12*n144*n43 + n102*n43)/n201 + n62*n87*xF[11]*(pow(alpha, NP0*n1 - n147*n6)*n144*n2*n6 + n131)*(pow(alpha, NP0*n1 - n147*n6)*n144*n43*n6 + n43*n48*n6)/n195) + 1.0*pow(n178, n21)*n62*n98*(pow(alpha, NP0*n1 - n1*n147)*n144/n100 + n44/n100)/n100) - n350, -n0);
      NP_sqrt_base = fabs(NP_sqrt_base);
      NP1 = (-NP_b - sqrt(NP_sqrt_base))/NP_2a;
      NT1 = n100*(n143 - log(-pow(alpha, NP1*n1)*n133 + 1));
      g0 = MW[1] - Mstar;
      g1 = MW[0] - Mstar;
      g2 = NT1 + 1;
      g3 = xPj - xTj;
      g4 = MW[10] - Mstar;
      g5 = MW[11] - Mstar;
      g6 = MW[12] - Mstar;
      g7 = MW[13] - Mstar;
      g8 = MW[14] - Mstar;
      g9 = MW[2] - Mstar;
      g10 = MW[3] - Mstar;
      g11 = MW[4] - Mstar;
      g12 = MW[5] - Mstar;
      g13 = MW[6] - Mstar;
      g14 = MW[7] - Mstar;
      g15 = MW[8] - Mstar;
      g16 = MW[9] - Mstar;
      g17 = xF[0] - xTj;
      g18 = xF[0] - xPj;
      g19 = -xTj;
      g20 = xPj/xF[1];
      g21 = pow(alpha, -g1);
      g22 = pow(alpha, -g4);
      g23 = pow(alpha, -g5);
      g24 = pow(alpha, -g6);
      g25 = pow(alpha, -g7);
      g26 = pow(alpha, -g8);
      g27 = pow(alpha, -g0);
      g28 = pow(alpha, -g9);
      g29 = pow(alpha, -g10);
      g30 = pow(alpha, -g11);
      g31 = pow(alpha, -g12);
      g32 = pow(alpha, -g13);
      g33 = pow(alpha, -g14);
      g34 = pow(alpha, -g15);
      g35 = pow(alpha, -g16);
      g36 = log(xF[0]/xF[1]);
      g37 = -g2;
      g38 = pow(alpha, NP1*g0);
      g39 = pow(alpha, NP1*g1);
      g40 = pow(alpha, NP1*g4);
      g41 = log(g21);
      g42 = pow(alpha, NP1*g5);
      g43 = pow(alpha, NP1*g6);
      g44 = pow(alpha, NP1*g7);
      g45 = pow(alpha, NP1*g8);
      g46 = pow(alpha, NP1*g9);
      g47 = pow(alpha, NP1*g10);
      g48 = pow(alpha, NP1*g11);
      g49 = pow(alpha, NP1*g12);
      g50 = pow(alpha, NP1*g13);
      g51 = pow(alpha, NP1*g14);
      g52 = pow(alpha, NP1*g15);
      g53 = pow(alpha, NP1*g16);
      g54 = -g36;
      g55 = g17/g3;
      g56 = g3/g17;
      g57 = -g38 + 1;
      g58 = -g38 + 1;
      g59 = -g39 + 1;
      g60 = -g46 + 1;
      g61 = -g47 + 1;
      g62 = -g48 + 1;
      g63 = -g49 + 1;
      g64 = -g50 + 1;
      g65 = -g51 + 1;
      g66 = -g52 + 1;
      g67 = -g53 + 1;
      g68 = -g40 + 1;
      g69 = -g42 + 1;
      g70 = -g43 + 1;
      g71 = -g44 + 1;
      g72 = -g45 + 1;
      g73 = -g39;
      g74 = -g40;
      g75 = -g42;
      g76 = -g43;
      g77 = -g44;
      g78 = -g45;
      g79 = -g46;
      g80 = -g47;
      g81 = -g48;
      g82 = -g49;
      g83 = -g50;
      g84 = -g51;
      g85 = -g52;
      g86 = -g53;
      g87 = -1.0*g36;
      g88 = -g3/g18;
      g89 = g18/(g3*xF[1]);
      g90 = pow(alpha, g0*g37) - 1;
      g91 = pow(alpha, g0*g37) - 1;
      g92 = pow(alpha, g1*g37) - 1;
      g93 = pow(alpha, g37*g9) - 1;
      g94 = pow(alpha, g10*g37) - 1;
      g95 = pow(alpha, g11*g37) - 1;
      g96 = pow(alpha, g12*g37) - 1;
      g97 = pow(alpha, g13*g37) - 1;
      g98 = pow(alpha, g14*g37) - 1;
      g99 = pow(alpha, g15*g37) - 1;
      g100 = pow(alpha, g16*g37) - 1;
      g101 = pow(alpha, g37*g4) - 1;
      g102 = pow(alpha, g37*g5) - 1;
      g103 = pow(alpha, g37*g6) - 1;
      g104 = pow(alpha, g37*g7) - 1;
      g105 = pow(alpha, g37*g8) - 1;
      g106 = -pow(alpha, g1*g37);
      g107 = -pow(alpha, g37*g4);
      g108 = -pow(alpha, g37*g5);
      g109 = -pow(alpha, g37*g6);
      g110 = -pow(alpha, g37*g7);
      g111 = -pow(alpha, g37*g8);
      g112 = -pow(alpha, g37*g9);
      g113 = -pow(alpha, g10*g37);
      g114 = -pow(alpha, g11*g37);
      g115 = -pow(alpha, g12*g37);
      g116 = -pow(alpha, g13*g37);
      g117 = -pow(alpha, g14*g37);
      g118 = -pow(alpha, g15*g37);
      g119 = -pow(alpha, g16*g37);
      g120 = g58 + g91;
      g121 = -g106 - g39;
      g122 = -g107 - g40;
      g123 = -g108 - g42;
      g124 = -g109 - g43;
      g125 = -g110 - g44;
      g126 = -g111 - g45;
      g127 = -g112 - g46;
      g128 = -g113 - g47;
      g129 = -g114 - g48;
      g130 = -g115 - g49;
      g131 = -g116 - g50;
      g132 = -g117 - g51;
      g133 = -g118 - g52;
      g134 = -g119 - g53;
      g135 = pow(alpha, g1*g37) + g73;
      g136 = g58 + g91;
      g137 = pow(alpha, g37*g4) + g74;
      g138 = pow(alpha, g37*g5) + g75;
      g139 = pow(alpha, g37*g6) + g76;
      g140 = pow(alpha, g37*g7) + g77;
      g141 = pow(alpha, g37*g8) + g78;
      g142 = pow(alpha, g37*g9) + g79;
      g143 = pow(alpha, g10*g37) + g80;
      g144 = pow(alpha, g11*g37) + g81;
      g145 = pow(alpha, g12*g37) + g82;
      g146 = pow(alpha, g13*g37) + g83;
      g147 = pow(alpha, g14*g37) + g84;
      g148 = pow(alpha, g15*g37) + g85;
      g149 = pow(alpha, g16*g37) + g86;
      g150 = xF[11]/g138;
      g151 = xF[9]/g149;
      g152 = xF[8]/g148;
      g153 = xF[1]/g136;
      g154 = xF[10]/g137;
      g155 = xF[3]/g143;
      g156 = xF[7]/g147;
      g157 = xF[4]/g144;
      g158 = xF[12]/g139;
      g159 = xF[13]/g140;
      g160 = xF[6]/g146;
      g161 = xF[14]/g141;
      g162 = xF[5]/g145;
      g163 = xF[2]/g142;
      g164 = xF[0]/g135;
      g165 = xF[1]/g120;
      g166 = xF[0]/g121;
      g167 = xF[4]/g129;
      g168 = xF[7]/g132;
      g169 = xF[2]/g127;
      g170 = xF[11]/g123;
      g171 = xF[13]/g125;
      g172 = xF[3]/g128;
      g173 = xF[6]/g131;
      g174 = xF[14]/g126;
      g175 = xF[8]/g133;
      g176 = xF[12]/g124;
      g177 = xF[10]/g122;
      g178 = xF[9]/g134;
      g179 = xF[5]/g130;
      g180 = g64/g131;
      g181 = g67/g134;
      g182 = g62/g129;
      g183 = g65/g132;
      g184 = g59/g121;
      g185 = g63/g130;
      g186 = g70/g124;
      g187 = g71/g125;
      g188 = g61/g128;
      g189 = g57/g120;
      g190 = g69/g123;
      g191 = g60/g127;
      g192 = g72/g126;
      g193 = g68/g122;
      g194 = g66/g133;
      g195 = g90/g120;
      g196 = g92/g121;
      g197 = g102/g123;
      g198 = g93/g127;
      g199 = g94/g128;
      g200 = g95/g129;
      g201 = g99/g133;
      g202 = g100/g134;
      g203 = g97/g131;
      g204 = g105/g126;
      g205 = g103/g124;
      g206 = g104/g125;
      g207 = g98/g132;
      g208 = g101/g122;
      g209 = g96/g130;
      g210 = log(g136*g19*g89/g58);
      g211 = log(g120*g19*g89/g57);
      g212 = log(g136*g20*g55/g91);
      g213 = 1.0*g210;
      g214 = log(g120*g20*g55/g90);
      g215 = 1.0*g212;
      g216 = -g150*g213*(g75 + 1) - g150*g215*(pow(alpha, g37*g5) - 1) - g151*g213*(g86 + 1) - g151*g215*(pow(alpha, g16*g37) - 1) - g152*g213*(g85 + 1) - g152*g215*(pow(alpha, g15*g37) - 1) - g153*g213*g58 - g153*g215*g91 - g154*g213*(g74 + 1) - g154*g215*(pow(alpha, g37*g4) - 1) - g155*g213*(g80 + 1) - g155*g215*(pow(alpha, g10*g37) - 1) - g156*g213*(g84 + 1) - g156*g215*(pow(alpha, g14*g37) - 1) - g157*g213*(g81 + 1) - g157*g215*(pow(alpha, g11*g37) - 1) - g158*g213*(g76 + 1) - g158*g215*(pow(alpha, g37*g6) - 1) - g159*g213*(g77 + 1) - g159*g215*(pow(alpha, g37*g7) - 1) - g160*g213*(g83 + 1) - g160*g215*(pow(alpha, g13*g37) - 1) - g161*g213*(g78 + 1) - g161*g215*(pow(alpha, g37*g8) - 1) - g162*g213*(g82 + 1) - g162*g215*(pow(alpha, g12*g37) - 1) - g163*g213*(g79 + 1) - g163*g215*(pow(alpha, g37*g9) - 1) - g164*g213*(g73 + 1) - g164*g215*(pow(alpha, g1*g37) - 1) - g87*xF[0] - g87*xF[10] - g87*xF[11] - g87*xF[12] - g87*xF[13] - g87*xF[14] - g87*xF[1] - g87*xF[2] - g87*xF[3] - g87*xF[4] - g87*xF[5] - g87*xF[6] - g87*xF[7] - g87*xF[8] - g87*xF[9];
      LpF = xF[0]*(g21 + 1.0)*(g184*g211 + g196*g214 + g54)/(g41*(g21 - 1.0)) + xF[10]*(g22 + 1.0)*(g193*g211 + g208*g214 + g54)/(g41*(g22 - 1.0)) + xF[11]*(g23 + 1.0)*(g190*g211 + g197*g214 + g54)/(g41*(g23 - 1.0)) + xF[12]*(g24 + 1.0)*(g186*g211 + g205*g214 + g54)/(g41*(g24 - 1.0)) + xF[13]*(g25 + 1.0)*(g187*g211 + g206*g214 + g54)/(g41*(g25 - 1.0)) + xF[14]*(g26 + 1.0)*(g192*g211 + g204*g214 + g54)/(g41*(g26 - 1.0)) + xF[1]*(g27 + 1.0)*(g189*g211 + g195*g214 + g54)/(g41*(g27 - 1.0)) + xF[2]*(g28 + 1.0)*(g191*g211 + g198*g214 + g54)/(g41*(g28 - 1.0)) + xF[3]*(g29 + 1.0)*(g188*g211 + g199*g214 + g54)/(g41*(g29 - 1.0)) + xF[4]*(g30 + 1.0)*(g182*g211 + g200*g214 + g54)/(g41*(g30 - 1.0)) + xF[5]*(g31 + 1.0)*(g185*g211 + g209*g214 + g54)/(g41*(g31 - 1.0)) + xF[6]*(g32 + 1.0)*(g180*g211 + g203*g214 + g54)/(g41*(g32 - 1.0)) + xF[7]*(g33 + 1.0)*(g183*g211 + g207*g214 + g54)/(g41*(g33 - 1.0)) + xF[8]*(g34 + 1.0)*(g194*g211 + g201*g214 + g54)/(g41*(g34 - 1.0)) + xF[9]*(g35 + 1.0)*(g181*g211 + g202*g214 + g54)/(g41*(g35 - 1.0));
      PpF = g55;
      TpF = -g18/g3;
      SWUpF = g216;
      SWUpP = g216*g56;
      xP[0] = g166*g56*g92;
      xP[1] = g165*g56*g90;
      xP[2] = g169*g56*g93;
      xP[3] = g172*g56*g94;
      xP[4] = g167*g56*g95;
      xP[5] = g179*g56*g96;
      xP[6] = g173*g56*g97;
      xP[7] = g168*g56*g98;
      xP[8] = g175*g56*g99;
      xP[9] = g100*g178*g56;
      xP[10] = g101*g177*g56;
      xP[11] = g102*g170*g56;
      xP[12] = g103*g176*g56;
      xP[13] = g104*g171*g56;
      xP[14] = g105*g174*g56;
      xT[0] = g166*g59*g88;
      xT[1] = g165*g57*g88;
      xT[2] = g169*g60*g88;
      xT[3] = g172*g61*g88;
      xT[4] = g167*g62*g88;
      xT[5] = g179*g63*g88;
      xT[6] = g173*g64*g88;
      xT[7] = g168*g65*g88;
      xT[8] = g175*g66*g88;
      xT[9] = g178*g67*g88;
      xT[10] = g177*g68*g88;
      xT[11] = g170*g69*g88;
      xT[12] = g176*g70*g88;
      xT[13] = g171*g71*g88;
      xT[14] = g174*g72*g88;
      break;
    case 16:
      n0 = -2.00000000000000;
      n1 = MW[0] - Mstar;
      n2 = log(alpha);
      n3 = xPj - xTj;
      n4 = xF[0] - xPj;
      n5 = MW[10] - Mstar;
      n6 = MW[11] - Mstar;
      n7 = MW[12] - Mstar;
      n8 = MW[13] - Mstar;
      n9 = MW[14] - Mstar;
      n10 = MW[15] - Mstar;
      n11 = MW[1] - Mstar;
      n12 = MW[2] - Mstar;
      n13 = MW[3] - Mstar;
      n14 = MW[4] - Mstar;
      n15 = MW[5] - Mstar;
      n16 = MW[6] - Mstar;
      n17 = MW[7] - Mstar;
      n18 = MW[8] - Mstar;
      n19 = MW[9] - Mstar;
      n20 = log(xTj);
      n21 = -n1;
      n22 = -2;
      n23 = xF[0]*xPj;
      n24 = -Mstar;
      n25 = -xTj;
      n26 = -xPj;
      n27 = -NP0*n0;
      n28 = pow(n1, -n0);
      n29 = pow(n2, -n0);
      n30 = pow(n5, -n0);
      n31 = pow(n6, -n0);
      n32 = pow(n7, -n0);
      n33 = pow(n8, -n0);
      n34 = pow(n9, -n0);
      n35 = pow(n10, -n0);
      n36 = pow(n11, -n0);
      n37 = pow(n12, -n0);
      n38 = pow(n13, -n0);
      n39 = pow(n14, -n0);
      n40 = pow(n15, -n0);
      n41 = pow(n16, -n0);
      n42 = pow(n17, -n0);
      n43 = pow(n18, -n0);
      n44 = pow(n19, -n0);
      n45 = Mstar*n2;
      n46 = -n0*n2;
      n47 = NP0*n1;
      n48 = -n2;
      n49 = pow(alpha, n47);
      n50 = n23 + n25*xF[0];
      n51 = n23 + n25*xPj;
      n52 = pow(alpha, NP0*n5);
      n53 = pow(alpha, NP0*n6);
      n54 = pow(alpha, NP0*n7);
      n55 = pow(alpha, NP0*n8);
      n56 = pow(alpha, NP0*n9);
      n57 = pow(alpha, NP0*n10);
      n58 = pow(alpha, NP0*n11);
      n59 = pow(alpha, NP0*n12);
      n60 = pow(alpha, NP0*n13);
      n61 = pow(alpha, NP0*n14);
      n62 = pow(alpha, NP0*n15);
      n63 = pow(alpha, NP0*n16);
      n64 = pow(alpha, NP0*n17);
      n65 = pow(alpha, NP0*n18);
      n66 = pow(alpha, NP0*n19);
      n67 = MW[0]*n48;
      n68 = n3/n4;
      n69 = n15*n2;
      n70 = n2*n7;
      n71 = n11*n2;
      n72 = n19*n2;
      n73 = n12*n2;
      n74 = n10*n2;
      n75 = n17*n2;
      n76 = -n49 + 1;
      n77 = -n52 + 1;
      n78 = pow(alpha, NP0*n0*n21);
      n79 = pow(n51, -n0);
      n80 = -n53 + 1;
      n81 = -n54 + 1;
      n82 = -n55 + 1;
      n83 = -n56 + 1;
      n84 = -n57 + 1;
      n85 = -n58 + 1;
      n86 = -n59 + 1;
      n87 = -n60 + 1;
      n88 = -n61 + 1;
      n89 = -n62 + 1;
      n90 = -n63 + 1;
      n91 = -n64 + 1;
      n92 = -n65 + 1;
      n93 = -n66 + 1;
      n94 = -n87;
      n95 = -n90;
      n96 = -n77;
      n97 = -n80;
      n98 = -n49;
      n99 = -n54;
      n100 = -n55;
      n101 = -n56;
      n102 = -n59;
      n103 = -n61;
      n104 = -n62;
      n105 = -n63;
      n106 = n1*n29;
      n107 = 1/(n1*n2);
      n108 = n16*n63;
      n109 = n13*n60;
      n110 = n1*n49;
      n111 = n29*n40;
      n112 = n14*n61;
      n113 = n56*n9;
      n114 = n5*n52;
      n115 = n29*n42;
      n116 = n55*n8;
      n117 = n83*xF[14];
      n118 = n86*xF[2];
      n119 = n29*n35;
      n120 = n29*n37;
      n121 = n28*n29;
      n122 = n89*xF[5];
      n123 = n29*n36;
      n124 = n11*n58;
      n125 = n17*n64;
      n126 = n29*n34;
      n127 = n10*n57;
      n128 = n18*n65;
      n129 = log((-1.0 + xPj/xF[0])/n3);
      n130 = -n84*xF[15];
      n131 = -n81*xF[12];
      n132 = -n93*xF[9];
      n133 = n19*n66*xF[9];
      n134 = -n82*xF[13];
      n135 = n2*n53*n6;
      n136 = n128*n2;
      n137 = n51/n50;
      n138 = n29*n33*n55;
      n139 = n29*n31*n53;
      n140 = n29*n43*n65;
      n141 = n29*n32*n54;
      n142 = n29*n30*n52;
      n143 = n29*n38*n60;
      n144 = n121*n49*xF[0];
      n145 = n137*n98 + 1;
      n146 = n129 + n20 + n45 + n67;
      n147 = n137*n49/n145;
      n148 = n107*(n146 - log(n145)) + 1;
      n149 = pow(alpha, n1*n148);
      n150 = pow(alpha, n148*n5);
      n151 = pow(alpha, n148*n6);
      n152 = pow(alpha, n148*n7);
      n153 = pow(alpha, n148*n8);
      n154 = pow(alpha, n148*n9);
      n155 = pow(alpha, n10*n148);
      n156 = pow(alpha, n11*n148);
      n157 = pow(alpha, n12*n148);
      n158 = pow(alpha, n13*n148);
      n159 = pow(alpha, n14*n148);
      n160 = pow(alpha, n148*n15);
      n161 = pow(alpha, n148*n16);
      n162 = pow(alpha, n148*n17);
      n163 = pow(alpha, n148*n18);
      n164 = pow(alpha, n148*n19);
      n165 = n14/n159;
      n166 = n17/n162;
      n167 = n8/n153;
      n168 = n13/n158;
      n169 = n16/n161;
      n170 = n9/n154;
      n171 = n18/n163;
      n172 = n6/n151;
      n173 = n11/n156;
      n174 = n12/n157;
      n175 = -1/n149;
      n176 = n10/n155;
      n177 = n7/n152;
      n178 = n19/n164;
      n179 = n5/n150;
      n180 = n15/n160;
      n181 = pow(alpha, n148*n21) + n76 - 1;
      n182 = n77 - 1 + 1.0/n150;
      n183 = n80 - 1 + 1.0/n151;
      n184 = n81 - 1 + 1.0/n152;
      n185 = n82 - 1 + 1.0/n153;
      n186 = n83 - 1 + 1.0/n154;
      n187 = n84 - 1 + 1.0/n155;
      n188 = n85 - 1 + 1.0/n156;
      n189 = n86 - 1 + 1.0/n157;
      n190 = n87 - 1 + 1.0/n158;
      n191 = n88 - 1 + 1.0/n159;
      n192 = n89 - 1 + 1.0/n160;
      n193 = n90 - 1 + 1.0/n161;
      n194 = n91 - 1 + 1.0/n162;
      n195 = n92 - 1 + 1.0/n163;
      n196 = n93 - 1 + 1.0/n164;
      n197 = pow(n181, 3);
      n198 = pow(n182, 3);
      n199 = pow(n183, 3);
      n200 = pow(n184, 3);
      n201 = pow(n185, 3);
      n202 = pow(n186, 3);
      n203 = pow(n187, 3);
      n204 = pow(n188, 3);
      n205 = pow(n189, 3);
      n206 = pow(n190, 3);
      n207 = pow(n191, 3);
      n208 = pow(n192, 3);
      n209 = pow(n193, 3);
      n210 = pow(n194, 3);
      n211 = pow(n195, 3);
      n212 = pow(n196, 3);
      n213 = xF[11]/n183;
      n214 = xF[12]/n184;
      n215 = 0.5/n181;
      n216 = xF[10]/n182;
      n217 = xF[13]/n185;
      n218 = xF[9]/n196;
      n219 = xF[8]/n195;
      n220 = xF[0]/n181;
      n221 = xF[3]/n190;
      n222 = pow(n190, n22)*xF[3];
      n223 = xF[6]/n209;
      n224 = pow(n182, n22)*xF[10];
      n225 = xF[10]/n198;
      n226 = n2*xF[14]/n186;
      n227 = n2*xF[4]/n191;
      n228 = n2*n221;
      n229 = pow(n181, n22)*n2;
      n230 = n2*xF[6]/n193;
      n231 = n62*xF[5]/n192;
      n232 = n58*xF[1]/n188;
      n233 = n64*xF[7]/n194;
      n234 = n59*xF[2]/n189;
      n235 = n57*xF[15]/n187;
      n236 = n56*xF[14]/n186;
      n237 = n85/n204;
      n238 = -pow(n181, n22)*n76;
      n239 = n76*xF[0]/n197;
      n240 = pow(n191, n22)*n88*xF[4];
      n241 = n88*xF[4]/n207;
      n242 = -n122*pow(n192, n22);
      n243 = -n91*xF[7]/n210;
      n244 = -pow(n188, n22)*n85*xF[1];
      n245 = -pow(n194, n22)*n91*xF[7];
      n246 = -pow(n195, n22)*n92*xF[8];
      n247 = n218*n29*n44*n66;
      n248 = n29*n39*n61*xF[4]/n191;
      n249 = n29*n41*n63*xF[6]/n193;
      n250 = n2*n21*n220*n49*n68;
      n251 = n144*n68/n181;
      n252 = n142*n216*n68;
      n253 = n139*n213*n68;
      n254 = n141*n214*n68;
      n255 = n138*n217*n68;
      n256 = n126*n236*n68;
      n257 = n119*n235*n68;
      n258 = n123*n232*n68;
      n259 = n120*n234*n68;
      n260 = n143*n221*n68;
      n261 = n248*n68;
      n262 = n111*n231*n68;
      n263 = n249*n68;
      n264 = n115*n233*n68;
      n265 = n140*n219*n68;
      n266 = n247*n68;
      n267 = n144*n215*n68;
      n268 = n137/(n145*n149);
      n269 = n268 + 1;
      n270 = n269*xF[0];
      n271 = n110*n2*n268 + n110*n2;
      n272 = n114*n2 + n147*n179*n2;
      n273 = n135 + n147*n172*n2;
      n274 = n147*n70/n152 + n54*n70;
      n275 = n116*n2 + n147*n167*n2;
      n276 = n113*n2 + n147*n170*n2;
      n277 = n147*n74/n155 + n57*n74;
      n278 = n147*n71/n156 + n58*n71;
      n279 = n147*n73/n157 + n59*n73;
      n280 = n109*n2 + n147*n168*n2;
      n281 = n112*n2 + n147*n165*n2;
      n282 = n147*n69/n160 + n62*n69;
      n283 = n108*n2 + n147*n169*n2;
      n284 = n147*n75/n162 + n64*n75;
      n285 = n136 + n147*n171*n2;
      n286 = n147*n72/n164 + n66*n72;
      n287 = pow(n271, -n0);
      n288 = pow(n272, -n0);
      n289 = pow(n273, -n0);
      n290 = pow(n274, -n0);
      n291 = pow(n275, -n0);
      n292 = pow(n276, -n0);
      n293 = pow(n277, -n0);
      n294 = pow(n278, -n0);
      n295 = pow(n279, -n0);
      n296 = pow(n280, -n0);
      n297 = pow(n281, -n0);
      n298 = pow(n282, -n0);
      n299 = pow(n283, -n0);
      n300 = pow(n284, -n0);
      n301 = pow(n285, -n0);
      n302 = pow(n286, -n0);
      n303 = n271*xF[0];
      n304 = n273*xF[11];
      n305 = n278*xF[1];
      n306 = n285*xF[8];
      n307 = n0*n147*n2*n21/n149 + n0*n2*n21*n49;
      n308 = n294*xF[1];
      n309 = n121*n268*n98 + n121*n98;
      n310 = pow(n184, n22)*n274;
      n311 = pow(n196, n22)*n286;
      n312 = pow(n185, n22)*n275;
      n313 = pow(n186, n22)*n276;
      n314 = pow(n187, n22)*n277;
      n315 = pow(n193, n22)*n283*xF[6];
      n316 = n292/n202;
      n317 = n295/n205;
      n318 = n298/n208;
      n319 = pow(n181, n22)*n309*xF[0];
      n320 = n301*n92*xF[8]/n211;
      n321 = n289*n80*xF[11]/n199;
      n322 = pow(n181, n22)*n303*n68*n76;
      n323 = n0*n21*n229*n49*n68*xF[0]*(pow(alpha, n148*n21 + n47)*n1*n137*n2/n145 + n110*n2);
      n324 = n114*n224*n46*n68*(pow(alpha, -n148*n5 + n47)*n137*n2*n5/n145 + n114*n2);
      n325 = pow(n183, n22)*n46*n53*n6*n68*xF[11]*(pow(alpha, -n148*n6 + n47)*n137*n2*n6/n145 + n135);
      n326 = pow(n184, n22)*n46*n54*n68*n7*xF[12]*(pow(alpha, -n148*n7 + n47)*n137*n70/n145 + n54*n70);
      n327 = n116*pow(n185, n22)*n46*n68*xF[13]*(pow(alpha, -n148*n8 + n47)*n137*n2*n8/n145 + n116*n2);
      n328 = n113*pow(n186, n22)*n46*n68*xF[14]*(pow(alpha, -n148*n9 + n47)*n137*n2*n9/n145 + n113*n2);
      n329 = n127*pow(n187, n22)*n46*n68*xF[15]*(pow(alpha, -n10*n148 + n47)*n137*n74/n145 + n57*n74);
      n330 = n124*pow(n188, n22)*n46*n68*xF[1]*(pow(alpha, -n11*n148 + n47)*n137*n71/n145 + n58*n71);
      n331 = n12*pow(n189, n22)*n46*n59*n68*xF[2]*(pow(alpha, -n12*n148 + n47)*n137*n73/n145 + n59*n73);
      n332 = n109*n222*n46*n68*(pow(alpha, -n13*n148 + n47)*n13*n137*n2/n145 + n109*n2);
      n333 = n112*pow(n191, n22)*n46*n68*xF[4]*(pow(alpha, -n14*n148 + n47)*n137*n14*n2/n145 + n112*n2);
      n334 = n15*pow(n192, n22)*n46*n62*n68*xF[5]*(pow(alpha, -n148*n15 + n47)*n137*n69/n145 + n62*n69);
      n335 = n108*pow(n193, n22)*n46*n68*xF[6]*(pow(alpha, -n148*n16 + n47)*n137*n16*n2/n145 + n108*n2);
      n336 = n125*pow(n194, n22)*n46*n68*xF[7]*(pow(alpha, -n148*n17 + n47)*n137*n75/n145 + n64*n75);
      n337 = n128*pow(n195, n22)*n46*n68*xF[8]*(pow(alpha, -n148*n18 + n47)*n137*n18*n2/n145 + n136);
      n338 = n133*pow(n196, n22)*n46*n68*(pow(alpha, -n148*n19 + n47)*n137*n72/n145 + n66*n72);
      n339 = 1.0*n110*n229*n303*n68;
      n340 = n319*n68*n76;
      n341 = 0.5*n340;
      n342 = pow(alpha, n1*n27)*n106*pow(n145, n22)*n172*pow(n50, n22)*n79 - pow(alpha, n1*n27)*pow(n145, n22)*n29*n31*pow(n50, n22)*n79/n151 + n106*n147*n172 + n139;
      n343 = pow(alpha, n1*n27)*n106*pow(n145, n22)*n177*pow(n50, n22)*n79 - pow(alpha, n1*n27)*pow(n145, n22)*n29*n32*pow(n50, n22)*n79/n152 + n106*n147*n177 + n141;
      n344 = pow(alpha, n1*n27)*pow(n145, n22)*n167*n21*n29*pow(n50, n22)*n79 + pow(alpha, n1*n27)*pow(n145, n22)*n29*n33*pow(n50, n22)*n79/n153 + n100*n29*n33 + n147*n167*n21*n29;
      n345 = pow(alpha, n1*n27)*n126*pow(n145, n22)*pow(n50, n22)*n79/n154 + pow(alpha, n1*n27)*pow(n145, n22)*n170*n21*n29*pow(n50, n22)*n79 + n101*n126 + n147*n170*n21*n29;
      n346 = pow(alpha, n1*n27)*n106*pow(n145, n22)*n176*pow(n50, n22)*n79 - pow(alpha, n1*n27)*n119*pow(n145, n22)*pow(n50, n22)*n79/n155 + n106*n147*n176 + n119*n57;
      n347 = pow(alpha, n1*n27)*n120*pow(n145, n22)*pow(n50, n22)*n79/n157 + pow(alpha, n1*n27)*pow(n145, n22)*n174*n21*n29*pow(n50, n22)*n79 + n102*n120 + n147*n174*n21*n29;
      n348 = pow(alpha, n1*n27)*pow(n145, n22)*n169*n21*n29*pow(n50, n22)*n79 + pow(alpha, n1*n27)*pow(n145, n22)*n29*n41*pow(n50, n22)*n79/n161 + n105*n29*n41 + n147*n169*n21*n29;
      n349 = pow(alpha, n1*n27)*n106*pow(n145, n22)*n178*pow(n50, n22)*n79 - pow(alpha, n1*n27)*pow(n145, n22)*n29*n44*pow(n50, n22)*n79/n164 + n106*n147*n178 + n29*n44*n66;
      n350 = pow(n185, n22)*n68*n82*xF[13]*(pow(alpha, n1*n27 - n148*n8)*pow(n145, n22)*n21*n29*pow(n50, n22)*n79*n8 + pow(alpha, n1*n27 - n148*n8)*pow(n145, n22)*n29*n33*pow(n50, n22)*n79 + n100*n29*n33 + n147*n167*n21*n29);
      n351 = n117*pow(n186, n22)*n68*(pow(alpha, n1*n27 - n148*n9)*n126*pow(n145, n22)*pow(n50, n22)*n79 + pow(alpha, n1*n27 - n148*n9)*pow(n145, n22)*n21*n29*pow(n50, n22)*n79*n9 + n101*n126 + n147*n170*n21*n29);
      n352 = n118*pow(n189, n22)*n68*(pow(alpha, n1*n27 - n12*n148)*n12*pow(n145, n22)*n21*n29*pow(n50, n22)*n79 + pow(alpha, n1*n27 - n12*n148)*n120*pow(n145, n22)*pow(n50, n22)*n79 + n102*n120 + n147*n174*n21*n29);
      n353 = n240*n68*(pow(alpha, n1*n27 - n14*n148)*n14*pow(n145, n22)*n21*n29*pow(n50, n22)*n79 + pow(alpha, n1*n27 - n14*n148)*pow(n145, n22)*n29*n39*pow(n50, n22)*n79 + n103*n29*n39 + n147*n165*n21*n29);
      n354 = pow(n193, n22)*n68*n90*xF[6]*(pow(alpha, n1*n27 - n148*n16)*pow(n145, n22)*n16*n21*n29*pow(n50, n22)*n79 + pow(alpha, n1*n27 - n148*n16)*pow(n145, n22)*n29*n41*pow(n50, n22)*n79 + n105*n29*n41 + n147*n169*n21*n29);
      n355 = n224*n68*n96*(pow(alpha, n1*n27 - n148*n5)*n106*pow(n145, n22)*n5*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n148*n5)*pow(n145, n22)*n29*n30*pow(n50, n22)*n79 + n106*n147*n179 + n142);
      n356 = pow(n183, n22)*n68*n97*xF[11]*(pow(alpha, n1*n27 - n148*n6)*n106*pow(n145, n22)*pow(n50, n22)*n6*n79 - pow(alpha, n1*n27 - n148*n6)*pow(n145, n22)*n29*n31*pow(n50, n22)*n79 + n106*n147*n172 + n139);
      n357 = n131*pow(n184, n22)*n68*(pow(alpha, n1*n27 - n148*n7)*n106*pow(n145, n22)*pow(n50, n22)*n7*n79 - pow(alpha, n1*n27 - n148*n7)*pow(n145, n22)*n29*n32*pow(n50, n22)*n79 + n106*n147*n177 + n141);
      n358 = n130*pow(n187, n22)*n68*(pow(alpha, n1*n27 - n10*n148)*n10*n106*pow(n145, n22)*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n10*n148)*n119*pow(n145, n22)*pow(n50, n22)*n79 + n106*n147*n176 + n119*n57);
      n359 = n244*n68*(pow(alpha, n1*n27 - n11*n148)*n106*n11*pow(n145, n22)*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n11*n148)*n123*pow(n145, n22)*pow(n50, n22)*n79 + n106*n147*n173 + n123*n58);
      n360 = n222*n68*n94*(pow(alpha, n1*n27 - n13*n148)*n106*n13*pow(n145, n22)*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n13*n148)*pow(n145, n22)*n29*n38*pow(n50, n22)*n79 + n106*n147*n168 + n143);
      n361 = n242*n68*(pow(alpha, n1*n27 - n148*n15)*n106*pow(n145, n22)*n15*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n148*n15)*n111*pow(n145, n22)*pow(n50, n22)*n79 + n106*n147*n180 + n111*n62);
      n362 = n245*n68*(pow(alpha, n1*n27 - n148*n17)*n106*pow(n145, n22)*n17*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n148*n17)*n115*pow(n145, n22)*pow(n50, n22)*n79 + n106*n147*n166 + n115*n64);
      n363 = n246*n68*(pow(alpha, n1*n27 - n148*n18)*n106*pow(n145, n22)*n18*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n148*n18)*pow(n145, n22)*n29*n43*pow(n50, n22)*n79 + n106*n147*n171 + n140);
      n364 = n132*pow(n196, n22)*n68*(pow(alpha, n1*n27 - n148*n19)*n106*pow(n145, n22)*n19*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n148*n19)*pow(n145, n22)*n29*n44*pow(n50, n22)*n79 + n106*n147*n178 + n29*n44*n66);
      n365 = xTj*(n108*n230*n68 + n109*n228*n68 + n110*n2*n220*n68 + n112*n227*n68 + n113*n226*n68 + n114*n2*n216*n68 + n116*n2*n217*n68 - n117*n313*n68 - n118*pow(n189, n22)*n279*n68 + n130*n314*n68 + n131*n310*n68 + n132*n311*n68 + n134*n312*n68 + n135*n213*n68 + n136*n219*n68 + pow(n183, n22)*n304*n68*n97 + n214*n54*n68*n70 + n218*n66*n68*n72 + n222*n280*n68*n94 + n224*n272*n68*n96 + n231*n68*n69 + n232*n68*n71 + n233*n68*n75 + n234*n68*n73 + n235*n68*n74 + n238*n303*n68 - n240*n281*n68 + n242*n282*n68 + n244*n278*n68 + n245*n284*n68 + n246*n285*n68 + n315*n68*n95);
      n366 = n250 + n322 + n365;
      n367 = n251 + n252 + n253 + n254 + n255 + n256 + n257 + n258 + n259 + n260 + n261 + n262 + n263 + n264 + n265 + n266 + n323 + n324 + n325 + n326 + n327 + n328 + n329 + n330 + n331 + n332 + n333 + n334 + n335 + n336 + n337 + n338 + n340 + n350 + n351 + n352 + n353 + n354 + n355 + n356 + n357 + n358 + n359 + n360 + n361 + n362 + n363 + n364;
      n368 = -n117*n276*n68*(n113*n46 + n147*n170*n46)/n202 - n118*n279*n68*(n12*n46*n59 + n147*n174*n46)/n205 - n122*n282*n68*(n147*n180*n46 + n15*n46*n62)/n208 + n130*n277*n68*(n127*n46 + n147*n176*n46)/n203 + n131*n274*n68*(n147*n177*n46 + n46*n54*n7)/n200 + n132*n286*n68*(n147*n178*n46 + n19*n46*n66)/n212 + n134*n275*n68*(n116*n46 + n147*n167*n46)/n201 + n223*n283*n68*n95*(n108*n46 + n147*n169*n46) + n225*n272*n68*n96*(n114*n46 + n147*n179*n46) - n237*n305*n68*(n124*n46 + n147*n173*n46) - n239*n271*n307*n68 - n241*n281*n68*(n112*n46 + n147*n165*n46) + n243*n284*n68*(n125*n46 + n147*n166*n46) + n367 - n306*n68*n92*(n128*n46 + n147*n171*n46)/n211 + n280*n68*n94*xF[3]*(n109*n46 + n147*n168*n46)/n206 + n304*n68*n97*(n147*n172*n46 + n46*n53*n6)/n199;
      n369 = n368*xTj;
      NP_b = -n110*n229*n270*n68*n76 - n250 - n27*(1.0*n110*n229*n68*xF[0]*(pow(alpha, -n1*n148 + n47)*n1*n137*n2/n145 + n110*n2) + 0.5*pow(n181, n22)*n68*n76*xF[0]*(-pow(alpha, -n1*n148 + n47)*n121*n137/n145 + n121*n98) - 1.0*n239*n287*n68 + n267 - 0.5*xTj*(n117*pow(n186, n22)*n68*(pow(alpha, n1*n27 - n148*n9)*n126*pow(n145, n22)*pow(n50, n22)*n79 + pow(alpha, n1*n27 - n148*n9)*pow(n145, n22)*n21*n29*pow(n50, n22)*n79*n9 + pow(alpha, -n148*n9 + n47)*n137*n21*n29*n9/n145 + n101*n126) + n117*n22*n316*n68 + n118*pow(n189, n22)*n68*(pow(alpha, n1*n27 - n12*n148)*n12*pow(n145, n22)*n21*n29*pow(n50, n22)*n79 + pow(alpha, n1*n27 - n12*n148)*n120*pow(n145, n22)*pow(n50, n22)*n79 + pow(alpha, -n12*n148 + n47)*n12*n137*n21*n29/n145 + n102*n120) + n118*n22*n317*n68 + n122*n22*n318*n68 + n130*pow(n187, n22)*n68*(pow(alpha, n1*n27 - n10*n148)*n10*n106*pow(n145, n22)*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n10*n148)*n119*pow(n145, n22)*pow(n50, n22)*n79 + pow(alpha, -n10*n148 + n47)*n10*n106*n137/n145 + n119*n57) + n131*pow(n184, n22)*n68*(pow(alpha, n1*n27 - n148*n7)*n106*pow(n145, n22)*pow(n50, n22)*n7*n79 - pow(alpha, n1*n27 - n148*n7)*pow(n145, n22)*n29*n32*pow(n50, n22)*n79 + pow(alpha, -n148*n7 + n47)*n106*n137*n7/n145 + n141) + n132*pow(n196, n22)*n68*(pow(alpha, n1*n27 - n148*n19)*n106*pow(n145, n22)*n19*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n148*n19)*pow(n145, n22)*n29*n44*pow(n50, n22)*n79 + pow(alpha, -n148*n19 + n47)*n106*n137*n19/n145 + n29*n44*n66) + pow(n181, n22)*n68*n76*xF[0]*(-pow(alpha, -n1*n148 + n47)*n121*n137/n145 + n121*n98) + pow(n183, n22)*n68*n97*xF[11]*(pow(alpha, n1*n27 - n148*n6)*n106*pow(n145, n22)*pow(n50, n22)*n6*n79 - pow(alpha, n1*n27 - n148*n6)*pow(n145, n22)*n29*n31*pow(n50, n22)*n79 + pow(alpha, -n148*n6 + n47)*n106*n137*n6/n145 + n139) + pow(n185, n22)*n68*n82*xF[13]*(pow(alpha, n1*n27 - n148*n8)*pow(n145, n22)*n21*n29*pow(n50, n22)*n79*n8 + pow(alpha, n1*n27 - n148*n8)*pow(n145, n22)*n29*n33*pow(n50, n22)*n79 + pow(alpha, -n148*n8 + n47)*n137*n21*n29*n8/n145 + n100*n29*n33) + pow(n193, n22)*n68*n90*xF[6]*(pow(alpha, n1*n27 - n148*n16)*pow(n145, n22)*n16*n21*n29*pow(n50, n22)*n79 + pow(alpha, n1*n27 - n148*n16)*pow(n145, n22)*n29*n41*pow(n50, n22)*n79 + pow(alpha, -n148*n16 + n47)*n137*n16*n21*n29/n145 + n105*n29*n41) + n22*n223*n299*n68*n90 + n22*n225*n288*n68*n77 + n22*n237*n308*n68 + n22*n239*n287*n68 + n22*n241*n297*n68 + n22*n320*n68 + n22*n321*n68 + n222*n68*n94*(pow(alpha, n1*n27 - n13*n148)*n106*n13*pow(n145, n22)*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n13*n148)*pow(n145, n22)*n29*n38*pow(n50, n22)*n79 + pow(alpha, -n13*n148 + n47)*n106*n13*n137/n145 + n143) + n224*n68*n96*(pow(alpha, n1*n27 - n148*n5)*n106*pow(n145, n22)*n5*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n148*n5)*pow(n145, n22)*n29*n30*pow(n50, n22)*n79 + pow(alpha, -n148*n5 + n47)*n106*n137*n5/n145 + n142) + n240*n68*(pow(alpha, n1*n27 - n14*n148)*n14*pow(n145, n22)*n21*n29*pow(n50, n22)*n79 + pow(alpha, n1*n27 - n14*n148)*pow(n145, n22)*n29*n39*pow(n50, n22)*n79 + pow(alpha, -n14*n148 + n47)*n137*n14*n21*n29/n145 + n103*n29*n39) + n242*n68*(pow(alpha, n1*n27 - n148*n15)*n106*pow(n145, n22)*n15*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n148*n15)*n111*pow(n145, n22)*pow(n50, n22)*n79 + pow(alpha, -n148*n15 + n47)*n106*n137*n15/n145 + n111*n62) + n244*n68*(pow(alpha, n1*n27 - n11*n148)*n106*n11*pow(n145, n22)*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n11*n148)*n123*pow(n145, n22)*pow(n50, n22)*n79 + pow(alpha, -n11*n148 + n47)*n106*n11*n137/n145 + n123*n58) + n245*n68*(pow(alpha, n1*n27 - n148*n17)*n106*pow(n145, n22)*n17*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n148*n17)*n115*pow(n145, n22)*pow(n50, n22)*n79 + pow(alpha, -n148*n17 + n47)*n106*n137*n17/n145 + n115*n64) + n246*n68*(pow(alpha, n1*n27 - n148*n18)*n106*pow(n145, n22)*n18*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n148*n18)*pow(n145, n22)*n29*n43*pow(n50, n22)*n79 + pow(alpha, -n148*n18 + n47)*n106*n137*n18/n145 + n140) + n251 + n252 + n253 + n254 + n255 + n256 + n257 + n258 + n259 + n260 + n261 + n262 + n263 + n264 + n265 + n266 + n323 + n324 + n325 + n326 + n327 + n328 + n329 + n330 + n331 + n332 + n333 + n334 + n335 + n336 + n337 + n338 + n22*n302*n68*n93*xF[9]/n212 + n22*n300*n68*n91*xF[7]/n210 + n22*n296*n68*n87*xF[3]/n206 + n22*n293*n68*n84*xF[15]/n203 + n22*n291*n68*n82*xF[13]/n201 + n22*n290*n68*n81*xF[12]/n200)) - n68*xTj*(n108*n230 + n109*n228 + n110*n2*n220 + n112*n227 + n113*n226 + n114*n2*n216 + n116*n2*n217 - n117*n313 - n118*pow(n189, n22)*n279 + n130*n314 + n131*n310 + n132*n311 + n134*n312 + n135*n213 + n136*n219 + pow(n183, n22)*n304*n97 + n214*n54*n70 + n218*n66*n72 + n222*n280*n94 + n224*n272*n96 + n231*n69 + n232*n71 + n233*n75 + n234*n73 + n235*n74 + n238*n303 - n240*n281 + n242*n282 + n244*n278 + n245*n284 + n246*n285 + n315*n95);
      NP_2a = -n68*(pow(alpha, n1*n27)*n0*n121*pow(n181, n22)*n270 - pow(alpha, n1*n27)*n0*n121*n239*pow(n269, -n0) + n121*pow(n181, n22)*n76*n98*xF[0]*(-1 + (-n23 + xPj*xTj)/(n145*n149*n50)) - 1.0*n144/n181 + 1.0*xTj*(n0*n21*n229*n49*xF[0]*(pow(alpha, n148*n21 + n47)*n1*n137*n2/n145 + n110*n2) + n108*pow(n193, n22)*n46*xF[6]*(pow(alpha, -n148*n16 + n47)*n137*n16*n2/n145 + n108*n2) + n109*n222*n46*(pow(alpha, -n13*n148 + n47)*n13*n137*n2/n145 + n109*n2) + n111*n231 + n112*pow(n191, n22)*n46*xF[4]*(pow(alpha, -n14*n148 + n47)*n137*n14*n2/n145 + n112*n2) + n113*pow(n186, n22)*n46*xF[14]*(pow(alpha, -n148*n9 + n47)*n137*n2*n9/n145 + n113*n2) + n114*n224*n46*(pow(alpha, -n148*n5 + n47)*n137*n2*n5/n145 + n114*n2) + n115*n233 + n116*pow(n185, n22)*n46*xF[13]*(pow(alpha, -n148*n8 + n47)*n137*n2*n8/n145 + n116*n2) + n117*pow(n186, n22)*(pow(alpha, n1*n27 - n148*n9)*n126*pow(n145, n22)*pow(n50, n22)*n79 + pow(alpha, n1*n27 - n148*n9)*pow(n145, n22)*n21*n29*pow(n50, n22)*n79*n9 + n101*n126 + n147*n170*n21*n29) + n117*n22*n316 + n118*pow(n189, n22)*(pow(alpha, n1*n27 - n12*n148)*n12*pow(n145, n22)*n21*n29*pow(n50, n22)*n79 + pow(alpha, n1*n27 - n12*n148)*n120*pow(n145, n22)*pow(n50, n22)*n79 + n102*n120 + n147*n174*n21*n29) + n118*n22*n317 + n119*n235 + n12*pow(n189, n22)*n46*n59*xF[2]*(pow(alpha, -n12*n148 + n47)*n137*n73/n145 + n59*n73) + n120*n234 + n122*n22*n318 + n123*n232 + n124*pow(n188, n22)*n46*xF[1]*(pow(alpha, -n11*n148 + n47)*n137*n71/n145 + n58*n71) + n125*pow(n194, n22)*n46*xF[7]*(pow(alpha, -n148*n17 + n47)*n137*n75/n145 + n64*n75) + n126*n236 + n127*pow(n187, n22)*n46*xF[15]*(pow(alpha, -n10*n148 + n47)*n137*n74/n145 + n57*n74) + n128*pow(n195, n22)*n46*xF[8]*(pow(alpha, -n148*n18 + n47)*n137*n18*n2/n145 + n136) + n130*pow(n187, n22)*(pow(alpha, n1*n27 - n10*n148)*n10*n106*pow(n145, n22)*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n10*n148)*n119*pow(n145, n22)*pow(n50, n22)*n79 + n106*n147*n176 + n119*n57) + n131*pow(n184, n22)*(pow(alpha, n1*n27 - n148*n7)*n106*pow(n145, n22)*pow(n50, n22)*n7*n79 - pow(alpha, n1*n27 - n148*n7)*pow(n145, n22)*n29*n32*pow(n50, n22)*n79 + n106*n147*n177 + n141) + n132*pow(n196, n22)*(pow(alpha, n1*n27 - n148*n19)*n106*pow(n145, n22)*n19*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n148*n19)*pow(n145, n22)*n29*n44*pow(n50, n22)*n79 + n106*n147*n178 + n29*n44*n66) + n133*pow(n196, n22)*n46*(pow(alpha, -n148*n19 + n47)*n137*n72/n145 + n66*n72) + n138*n217 + n139*n213 + n140*n219 + n141*n214 + n142*n216 + n143*n221 + n144/n181 + n15*pow(n192, n22)*n46*n62*xF[5]*(pow(alpha, -n148*n15 + n47)*n137*n69/n145 + n62*n69) + pow(n183, n22)*n46*n53*n6*xF[11]*(pow(alpha, -n148*n6 + n47)*n137*n2*n6/n145 + n135) + pow(n183, n22)*n97*xF[11]*(pow(alpha, n1*n27 - n148*n6)*n106*pow(n145, n22)*pow(n50, n22)*n6*n79 - pow(alpha, n1*n27 - n148*n6)*pow(n145, n22)*n29*n31*pow(n50, n22)*n79 + n106*n147*n172 + n139) + pow(n184, n22)*n46*n54*n7*xF[12]*(pow(alpha, -n148*n7 + n47)*n137*n70/n145 + n54*n70) + pow(n185, n22)*n82*xF[13]*(pow(alpha, n1*n27 - n148*n8)*pow(n145, n22)*n21*n29*pow(n50, n22)*n79*n8 + pow(alpha, n1*n27 - n148*n8)*pow(n145, n22)*n29*n33*pow(n50, n22)*n79 + n100*n29*n33 + n147*n167*n21*n29) + pow(n193, n22)*n90*xF[6]*(pow(alpha, n1*n27 - n148*n16)*pow(n145, n22)*n16*n21*n29*pow(n50, n22)*n79 + pow(alpha, n1*n27 - n148*n16)*pow(n145, n22)*n29*n41*pow(n50, n22)*n79 + n105*n29*n41 + n147*n169*n21*n29) + n22*n223*n299*n90 + n22*n225*n288*n77 + n22*n237*n308 + n22*n239*n287 + n22*n241*n297 + n22*n320 + n22*n321 + n222*n94*(pow(alpha, n1*n27 - n13*n148)*n106*n13*pow(n145, n22)*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n13*n148)*pow(n145, n22)*n29*n38*pow(n50, n22)*n79 + n106*n147*n168 + n143) + n224*n96*(pow(alpha, n1*n27 - n148*n5)*n106*pow(n145, n22)*n5*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n148*n5)*pow(n145, n22)*n29*n30*pow(n50, n22)*n79 + n106*n147*n179 + n142) + n240*(pow(alpha, n1*n27 - n14*n148)*n14*pow(n145, n22)*n21*n29*pow(n50, n22)*n79 + pow(alpha, n1*n27 - n14*n148)*pow(n145, n22)*n29*n39*pow(n50, n22)*n79 + n103*n29*n39 + n147*n165*n21*n29) + n242*(pow(alpha, n1*n27 - n148*n15)*n106*pow(n145, n22)*n15*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n148*n15)*n111*pow(n145, n22)*pow(n50, n22)*n79 + n106*n147*n180 + n111*n62) + n244*(pow(alpha, n1*n27 - n11*n148)*n106*n11*pow(n145, n22)*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n11*n148)*n123*pow(n145, n22)*pow(n50, n22)*n79 + n106*n147*n173 + n123*n58) + n245*(pow(alpha, n1*n27 - n148*n17)*n106*pow(n145, n22)*n17*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n148*n17)*n115*pow(n145, n22)*pow(n50, n22)*n79 + n106*n147*n166 + n115*n64) + n246*(pow(alpha, n1*n27 - n148*n18)*n106*pow(n145, n22)*n18*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n148*n18)*pow(n145, n22)*n29*n43*pow(n50, n22)*n79 + n106*n147*n171 + n140) + n247 + n248 + n249 + n319*n76 + n22*n302*n93*xF[9]/n212 + n22*n300*n91*xF[7]/n210 + n22*n296*n87*xF[3]/n206 + n22*n293*n84*xF[15]/n203 + n22*n291*n82*xF[13]/n201 + n22*n290*n81*xF[12]/n200));
      NP_sqrt_base = (-NP0*n366 - n25*(-n117*n68/(n83 - 1 + pow(alpha, -n9*(n107*(n146 - log(n98*(n23 + n26*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n118*n68/(n86 - 1 + pow(alpha, -n12*(n107*(n146 - log(n98*(n23 + n26*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n122*n68/(n89 - 1 + pow(alpha, -n15*(n107*(n146 - log(n98*(n23 + n26*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n68*n76*xF[0]/(pow(alpha, n21*(n107*(n146 - log(n98*(n23 + n26*xTj)/(n23 - xF[0]*xTj) + 1)) + 1)) + n76 - 1) - n68*n77*xF[10]/(n77 - 1 + pow(alpha, -n5*(n107*(n146 - log(n98*(n23 + n26*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n68*n80*xF[11]/(n80 - 1 + pow(alpha, -n6*(n107*(n146 - log(n98*(n23 + n26*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n68*n81*xF[12]/(n81 - 1 + pow(alpha, -n7*(n107*(n146 - log(n98*(n23 + n26*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n68*n82*xF[13]/(n82 - 1 + pow(alpha, -n8*(n107*(n146 - log(n98*(n23 + n26*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n68*n84*xF[15]/(n84 - 1 + pow(alpha, -n10*(n107*(n146 - log(n98*(n23 + n26*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n68*n85*xF[1]/(n85 - 1 + pow(alpha, -n11*(n107*(n146 - log(n98*(n23 + n26*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n68*n87*xF[3]/(n87 - 1 + pow(alpha, -n13*(n107*(n146 - log(n98*(n23 + n26*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n68*n88*xF[4]/(n88 - 1 + pow(alpha, -n14*(n107*(n146 - log(n98*(n23 + n26*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n68*n90*xF[6]/(n90 - 1 + pow(alpha, -n16*(n107*(n146 - log(n98*(n23 + n26*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n68*n91*xF[7]/(n91 - 1 + pow(alpha, -n17*(n107*(n146 - log(n98*(n23 + n26*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n68*n92*xF[8]/(n92 - 1 + pow(alpha, -n18*(n107*(n146 - log(n98*(n23 + n26*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n68*n93*xF[9]/(n93 - 1 + pow(alpha, -n19*(n107*(n146 - log(n98*(n23 + n26*xTj)/(n23 - xF[0]*xTj) + 1)) + 1)))) + n68*n76*xF[0]/(-n175 + n76 - 1) - pow(NP0, -n0)*(1.0*n110*n229*n303*n68 - 0.5*n239*n271*n307*n68 + 0.5*n251 + 0.5*n340 - 0.5*n369))*(-n0*n25*(n117*pow(n186, n22)*n68*(pow(alpha, n1*n27 - n148*n9)*n126*pow(n145, n22)*pow(n50, n22)*n79 + pow(alpha, n1*n27 - n148*n9)*pow(n145, n22)*n21*n29*pow(n50, n22)*n79*n9 + pow(alpha, -n148*n9 + n47)*n137*n21*n29*n9/n145 + n101*n126) - n117*n68*(pow(alpha, -n148*n9 + n47)*n137*n2*n9/n145 + n113*n2)*(pow(alpha, -n148*n9 + n47)*n137*n46*n9/n145 + n113*n46)/n202 + n118*pow(n189, n22)*n68*(pow(alpha, n1*n27 - n12*n148)*n12*pow(n145, n22)*n21*n29*pow(n50, n22)*n79 + pow(alpha, n1*n27 - n12*n148)*n120*pow(n145, n22)*pow(n50, n22)*n79 + pow(alpha, -n12*n148 + n47)*n12*n137*n21*n29/n145 + n102*n120) - n118*n68*(pow(alpha, -n12*n148 + n47)*n137*n73/n145 + n59*n73)*(pow(alpha, -n12*n148 + n47)*n12*n137*n46/n145 + n12*n46*n59)/n205 - n122*n68*(pow(alpha, -n148*n15 + n47)*n137*n69/n145 + n62*n69)*(pow(alpha, -n148*n15 + n47)*n137*n15*n46/n145 + n15*n46*n62)/n208 + n130*pow(n187, n22)*n68*(pow(alpha, n1*n27 - n10*n148)*n10*n106*pow(n145, n22)*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n10*n148)*n119*pow(n145, n22)*pow(n50, n22)*n79 + pow(alpha, -n10*n148 + n47)*n10*n106*n137/n145 + n119*n57) + n130*n68*(pow(alpha, -n10*n148 + n47)*n137*n74/n145 + n57*n74)*(pow(alpha, -n10*n148 + n47)*n10*n137*n46/n145 + n127*n46)/n203 + n131*pow(n184, n22)*n68*(pow(alpha, n1*n27 - n148*n7)*n106*pow(n145, n22)*pow(n50, n22)*n7*n79 - pow(alpha, n1*n27 - n148*n7)*pow(n145, n22)*n29*n32*pow(n50, n22)*n79 + pow(alpha, -n148*n7 + n47)*n106*n137*n7/n145 + n141) + n131*n68*(pow(alpha, -n148*n7 + n47)*n137*n70/n145 + n54*n70)*(pow(alpha, -n148*n7 + n47)*n137*n46*n7/n145 + n46*n54*n7)/n200 + n132*pow(n196, n22)*n68*(pow(alpha, n1*n27 - n148*n19)*n106*pow(n145, n22)*n19*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n148*n19)*pow(n145, n22)*n29*n44*pow(n50, n22)*n79 + pow(alpha, -n148*n19 + n47)*n106*n137*n19/n145 + n29*n44*n66) + n132*n68*(pow(alpha, -n148*n19 + n47)*n137*n72/n145 + n66*n72)*(pow(alpha, -n148*n19 + n47)*n137*n19*n46/n145 + n19*n46*n66)/n212 + n134*n68*(pow(alpha, -n148*n8 + n47)*n137*n2*n8/n145 + n116*n2)*(pow(alpha, -n148*n8 + n47)*n137*n46*n8/n145 + n116*n46)/n201 + pow(n181, n22)*n68*n76*xF[0]*(pow(alpha, -n1*n148 + n47)*n121*(-n23 + xPj*xTj)/(n145*n50) + n121*n98) + pow(n183, n22)*n68*n97*xF[11]*(pow(alpha, n1*n27 - n148*n6)*n106*pow(n145, n22)*pow(n50, n22)*n6*n79 - pow(alpha, n1*n27 - n148*n6)*pow(n145, n22)*n29*n31*pow(n50, n22)*n79 + pow(alpha, -n148*n6 + n47)*n106*n137*n6/n145 + n139) + pow(n185, n22)*n68*n82*xF[13]*(pow(alpha, n1*n27 - n148*n8)*pow(n145, n22)*n21*n29*pow(n50, n22)*n79*n8 + pow(alpha, n1*n27 - n148*n8)*pow(n145, n22)*n29*n33*pow(n50, n22)*n79 + pow(alpha, -n148*n8 + n47)*n137*n21*n29*n8/n145 + n100*n29*n33) + pow(n193, n22)*n68*n90*xF[6]*(pow(alpha, n1*n27 - n148*n16)*pow(n145, n22)*n16*n21*n29*pow(n50, n22)*n79 + pow(alpha, n1*n27 - n148*n16)*pow(n145, n22)*n29*n41*pow(n50, n22)*n79 + pow(alpha, -n148*n16 + n47)*n137*n16*n21*n29/n145 + n105*n29*n41) + n222*n68*n94*(pow(alpha, n1*n27 - n13*n148)*n106*n13*pow(n145, n22)*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n13*n148)*pow(n145, n22)*n29*n38*pow(n50, n22)*n79 + pow(alpha, -n13*n148 + n47)*n106*n13*n137/n145 + n143) + n223*n68*n95*(pow(alpha, -n148*n16 + n47)*n137*n16*n2/n145 + n108*n2)*(pow(alpha, -n148*n16 + n47)*n137*n16*n46/n145 + n108*n46) + n224*n68*n96*(pow(alpha, n1*n27 - n148*n5)*n106*pow(n145, n22)*n5*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n148*n5)*pow(n145, n22)*n29*n30*pow(n50, n22)*n79 + pow(alpha, -n148*n5 + n47)*n106*n137*n5/n145 + n142) + n225*n68*n96*(pow(alpha, -n148*n5 + n47)*n137*n2*n5/n145 + n114*n2)*(pow(alpha, -n148*n5 + n47)*n137*n46*n5/n145 + n114*n46) - n237*n68*xF[1]*(pow(alpha, -n11*n148 + n47)*n137*n71/n145 + n58*n71)*(pow(alpha, -n11*n148 + n47)*n11*n137*n46/n145 + n124*n46) - n239*n68*(pow(alpha, -n1*n148 + n47)*n1*n137*n2/n145 + n110*n2)*(pow(alpha, -n1*n148 + n47)*n0*n137*n2*n21/n145 + n0*n2*n21*n49) + n240*n68*(pow(alpha, n1*n27 - n14*n148)*n14*pow(n145, n22)*n21*n29*pow(n50, n22)*n79 + pow(alpha, n1*n27 - n14*n148)*pow(n145, n22)*n29*n39*pow(n50, n22)*n79 + pow(alpha, -n14*n148 + n47)*n137*n14*n21*n29/n145 + n103*n29*n39) - n241*n68*(pow(alpha, -n14*n148 + n47)*n137*n14*n2/n145 + n112*n2)*(pow(alpha, -n14*n148 + n47)*n137*n14*n46/n145 + n112*n46) + n242*n68*(pow(alpha, n1*n27 - n148*n15)*n106*pow(n145, n22)*n15*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n148*n15)*n111*pow(n145, n22)*pow(n50, n22)*n79 + pow(alpha, -n148*n15 + n47)*n106*n137*n15/n145 + n111*n62) + n243*n68*(pow(alpha, -n148*n17 + n47)*n137*n75/n145 + n64*n75)*(pow(alpha, -n148*n17 + n47)*n137*n17*n46/n145 + n125*n46) + n244*n68*(pow(alpha, n1*n27 - n11*n148)*n106*n11*pow(n145, n22)*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n11*n148)*n123*pow(n145, n22)*pow(n50, n22)*n79 + pow(alpha, -n11*n148 + n47)*n106*n11*n137/n145 + n123*n58) + n245*n68*(pow(alpha, n1*n27 - n148*n17)*n106*pow(n145, n22)*n17*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n148*n17)*n115*pow(n145, n22)*pow(n50, n22)*n79 + pow(alpha, -n148*n17 + n47)*n106*n137*n17/n145 + n115*n64) + n246*n68*(pow(alpha, n1*n27 - n148*n18)*n106*pow(n145, n22)*n18*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n148*n18)*pow(n145, n22)*n29*n43*pow(n50, n22)*n79 + pow(alpha, -n148*n18 + n47)*n106*n137*n18/n145 + n140) + n251 + n252 + n253 + n254 + n255 + n256 + n257 + n258 + n259 + n260 + n261 + n262 + n263 + n264 + n265 + n266 + n323 + n324 + n325 + n326 + n327 + n328 + n329 + n330 + n331 + n332 + n333 + n334 + n335 + n336 + n337 + n338 - n68*n92*xF[8]*(pow(alpha, -n148*n18 + n47)*n137*n18*n2/n145 + n136)*(pow(alpha, -n148*n18 + n47)*n137*n18*n46/n145 + n128*n46)/n211 + n68*n94*xF[3]*(pow(alpha, -n13*n148 + n47)*n13*n137*n2/n145 + n109*n2)*(pow(alpha, -n13*n148 + n47)*n13*n137*n46/n145 + n109*n46)/n206 + n68*n97*xF[11]*(pow(alpha, -n148*n6 + n47)*n137*n2*n6/n145 + n135)*(pow(alpha, -n148*n6 + n47)*n137*n46*n6/n145 + n46*n53*n6)/n199) - n0*n251 - n0*n340 + 4.0*n110*n229*n303*n68 - 4.0*n239*n287*n68) + pow(-n27*(1.0*n110*n229*n68*xF[0]*(pow(alpha, -n1*n148 + n47)*n1*n137*n2/n145 + n110*n2) + 0.5*pow(n181, n22)*n68*n76*xF[0]*(-pow(alpha, -n1*n148 + n47)*n121*n137/n145 + n121*n98) - 0.5*n239*n68*(pow(alpha, -n1*n148 + n47)*n1*n137*n2/n145 + n110*n2)*(pow(alpha, -n1*n148 + n47)*n0*n137*n2*n21/n145 + n0*n2*n21*n49) + n267 - 0.5*xTj*(n117*pow(n186, n22)*n68*(pow(alpha, n1*n27 - n148*n9)*n126*pow(n145, n22)*pow(n50, n22)*n79 + pow(alpha, n1*n27 - n148*n9)*pow(n145, n22)*n21*n29*pow(n50, n22)*n79*n9 + pow(alpha, -n148*n9 + n47)*n137*n21*n29*n9/n145 + n101*n126) - n117*n68*(pow(alpha, -n148*n9 + n47)*n137*n2*n9/n145 + n113*n2)*(pow(alpha, -n148*n9 + n47)*n137*n46*n9/n145 + n113*n46)/n202 + n118*pow(n189, n22)*n68*(pow(alpha, n1*n27 - n12*n148)*n12*pow(n145, n22)*n21*n29*pow(n50, n22)*n79 + pow(alpha, n1*n27 - n12*n148)*n120*pow(n145, n22)*pow(n50, n22)*n79 + pow(alpha, -n12*n148 + n47)*n12*n137*n21*n29/n145 + n102*n120) - n118*n68*(pow(alpha, -n12*n148 + n47)*n137*n73/n145 + n59*n73)*(pow(alpha, -n12*n148 + n47)*n12*n137*n46/n145 + n12*n46*n59)/n205 - n122*n68*(pow(alpha, -n148*n15 + n47)*n137*n69/n145 + n62*n69)*(pow(alpha, -n148*n15 + n47)*n137*n15*n46/n145 + n15*n46*n62)/n208 + n130*pow(n187, n22)*n68*(pow(alpha, n1*n27 - n10*n148)*n10*n106*pow(n145, n22)*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n10*n148)*n119*pow(n145, n22)*pow(n50, n22)*n79 + pow(alpha, -n10*n148 + n47)*n10*n106*n137/n145 + n119*n57) + n130*n68*(pow(alpha, -n10*n148 + n47)*n137*n74/n145 + n57*n74)*(pow(alpha, -n10*n148 + n47)*n10*n137*n46/n145 + n127*n46)/n203 + n131*pow(n184, n22)*n68*(pow(alpha, n1*n27 - n148*n7)*n106*pow(n145, n22)*pow(n50, n22)*n7*n79 - pow(alpha, n1*n27 - n148*n7)*pow(n145, n22)*n29*n32*pow(n50, n22)*n79 + pow(alpha, -n148*n7 + n47)*n106*n137*n7/n145 + n141) + n131*n68*(pow(alpha, -n148*n7 + n47)*n137*n70/n145 + n54*n70)*(pow(alpha, -n148*n7 + n47)*n137*n46*n7/n145 + n46*n54*n7)/n200 + n132*pow(n196, n22)*n68*(pow(alpha, n1*n27 - n148*n19)*n106*pow(n145, n22)*n19*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n148*n19)*pow(n145, n22)*n29*n44*pow(n50, n22)*n79 + pow(alpha, -n148*n19 + n47)*n106*n137*n19/n145 + n29*n44*n66) + n132*n68*(pow(alpha, -n148*n19 + n47)*n137*n72/n145 + n66*n72)*(pow(alpha, -n148*n19 + n47)*n137*n19*n46/n145 + n19*n46*n66)/n212 + n134*n68*(pow(alpha, -n148*n8 + n47)*n137*n2*n8/n145 + n116*n2)*(pow(alpha, -n148*n8 + n47)*n137*n46*n8/n145 + n116*n46)/n201 + pow(n181, n22)*n68*n76*xF[0]*(-pow(alpha, -n1*n148 + n47)*n121*n137/n145 + n121*n98) + pow(n183, n22)*n68*n97*xF[11]*(pow(alpha, n1*n27 - n148*n6)*n106*pow(n145, n22)*pow(n50, n22)*n6*n79 - pow(alpha, n1*n27 - n148*n6)*pow(n145, n22)*n29*n31*pow(n50, n22)*n79 + pow(alpha, -n148*n6 + n47)*n106*n137*n6/n145 + n139) + pow(n185, n22)*n68*n82*xF[13]*(pow(alpha, n1*n27 - n148*n8)*pow(n145, n22)*n21*n29*pow(n50, n22)*n79*n8 + pow(alpha, n1*n27 - n148*n8)*pow(n145, n22)*n29*n33*pow(n50, n22)*n79 + pow(alpha, -n148*n8 + n47)*n137*n21*n29*n8/n145 + n100*n29*n33) + pow(n193, n22)*n68*n90*xF[6]*(pow(alpha, n1*n27 - n148*n16)*pow(n145, n22)*n16*n21*n29*pow(n50, n22)*n79 + pow(alpha, n1*n27 - n148*n16)*pow(n145, n22)*n29*n41*pow(n50, n22)*n79 + pow(alpha, -n148*n16 + n47)*n137*n16*n21*n29/n145 + n105*n29*n41) + n222*n68*n94*(pow(alpha, n1*n27 - n13*n148)*n106*n13*pow(n145, n22)*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n13*n148)*pow(n145, n22)*n29*n38*pow(n50, n22)*n79 + pow(alpha, -n13*n148 + n47)*n106*n13*n137/n145 + n143) + n223*n68*n95*(pow(alpha, -n148*n16 + n47)*n137*n16*n2/n145 + n108*n2)*(pow(alpha, -n148*n16 + n47)*n137*n16*n46/n145 + n108*n46) + n224*n68*n96*(pow(alpha, n1*n27 - n148*n5)*n106*pow(n145, n22)*n5*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n148*n5)*pow(n145, n22)*n29*n30*pow(n50, n22)*n79 + pow(alpha, -n148*n5 + n47)*n106*n137*n5/n145 + n142) + n225*n68*n96*(pow(alpha, -n148*n5 + n47)*n137*n2*n5/n145 + n114*n2)*(pow(alpha, -n148*n5 + n47)*n137*n46*n5/n145 + n114*n46) - n237*n68*xF[1]*(pow(alpha, -n11*n148 + n47)*n137*n71/n145 + n58*n71)*(pow(alpha, -n11*n148 + n47)*n11*n137*n46/n145 + n124*n46) - n239*n68*(pow(alpha, -n1*n148 + n47)*n1*n137*n2/n145 + n110*n2)*(pow(alpha, -n1*n148 + n47)*n0*n137*n2*n21/n145 + n0*n2*n21*n49) + n240*n68*(pow(alpha, n1*n27 - n14*n148)*n14*pow(n145, n22)*n21*n29*pow(n50, n22)*n79 + pow(alpha, n1*n27 - n14*n148)*pow(n145, n22)*n29*n39*pow(n50, n22)*n79 + pow(alpha, -n14*n148 + n47)*n137*n14*n21*n29/n145 + n103*n29*n39) - n241*n68*(pow(alpha, -n14*n148 + n47)*n137*n14*n2/n145 + n112*n2)*(pow(alpha, -n14*n148 + n47)*n137*n14*n46/n145 + n112*n46) + n242*n68*(pow(alpha, n1*n27 - n148*n15)*n106*pow(n145, n22)*n15*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n148*n15)*n111*pow(n145, n22)*pow(n50, n22)*n79 + pow(alpha, -n148*n15 + n47)*n106*n137*n15/n145 + n111*n62) + n243*n68*(pow(alpha, -n148*n17 + n47)*n137*n75/n145 + n64*n75)*(pow(alpha, -n148*n17 + n47)*n137*n17*n46/n145 + n125*n46) + n244*n68*(pow(alpha, n1*n27 - n11*n148)*n106*n11*pow(n145, n22)*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n11*n148)*n123*pow(n145, n22)*pow(n50, n22)*n79 + pow(alpha, -n11*n148 + n47)*n106*n11*n137/n145 + n123*n58) + n245*n68*(pow(alpha, n1*n27 - n148*n17)*n106*pow(n145, n22)*n17*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n148*n17)*n115*pow(n145, n22)*pow(n50, n22)*n79 + pow(alpha, -n148*n17 + n47)*n106*n137*n17/n145 + n115*n64) + n246*n68*(pow(alpha, n1*n27 - n148*n18)*n106*pow(n145, n22)*n18*pow(n50, n22)*n79 - pow(alpha, n1*n27 - n148*n18)*pow(n145, n22)*n29*n43*pow(n50, n22)*n79 + pow(alpha, -n148*n18 + n47)*n106*n137*n18/n145 + n140) + n251 + n252 + n253 + n254 + n255 + n256 + n257 + n258 + n259 + n260 + n261 + n262 + n263 + n264 + n265 + n266 + n323 + n324 + n325 + n326 + n327 + n328 + n329 + n330 + n331 + n332 + n333 + n334 + n335 + n336 + n337 + n338 - n68*n92*xF[8]*(pow(alpha, -n148*n18 + n47)*n137*n18*n2/n145 + n136)*(pow(alpha, -n148*n18 + n47)*n137*n18*n46/n145 + n128*n46)/n211 + n68*n94*xF[3]*(pow(alpha, -n13*n148 + n47)*n13*n137*n2/n145 + n109*n2)*(pow(alpha, -n13*n148 + n47)*n13*n137*n46/n145 + n109*n46)/n206 + n68*n97*xF[11]*(pow(alpha, -n148*n6 + n47)*n137*n2*n6/n145 + n135)*(pow(alpha, -n148*n6 + n47)*n137*n46*n6/n145 + n46*n53*n6)/n199)) - n366, -n0);
      NP_sqrt_base = fabs(NP_sqrt_base);
      NP1 = (-NP_b - sqrt(NP_sqrt_base))/NP_2a;
      NT1 = n107*(n146 - log(-pow(alpha, NP1*n1)*n137 + 1));
      g0 = MW[1] - Mstar;
      g1 = MW[0] - Mstar;
      g2 = NT1 + 1;
      g3 = xPj - xTj;
      g4 = MW[10] - Mstar;
      g5 = MW[11] - Mstar;
      g6 = MW[12] - Mstar;
      g7 = MW[13] - Mstar;
      g8 = MW[14] - Mstar;
      g9 = MW[15] - Mstar;
      g10 = MW[2] - Mstar;
      g11 = MW[3] - Mstar;
      g12 = MW[4] - Mstar;
      g13 = MW[5] - Mstar;
      g14 = MW[6] - Mstar;
      g15 = MW[7] - Mstar;
      g16 = MW[8] - Mstar;
      g17 = MW[9] - Mstar;
      g18 = xF[0] - xTj;
      g19 = xF[0] - xPj;
      g20 = -xTj;
      g21 = xPj/xF[1];
      g22 = pow(alpha, -g1);
      g23 = pow(alpha, -g4);
      g24 = pow(alpha, -g5);
      g25 = pow(alpha, -g6);
      g26 = pow(alpha, -g7);
      g27 = pow(alpha, -g8);
      g28 = pow(alpha, -g9);
      g29 = pow(alpha, -g0);
      g30 = pow(alpha, -g10);
      g31 = pow(alpha, -g11);
      g32 = pow(alpha, -g12);
      g33 = pow(alpha, -g13);
      g34 = pow(alpha, -g14);
      g35 = pow(alpha, -g15);
      g36 = pow(alpha, -g16);
      g37 = pow(alpha, -g17);
      g38 = log(xF[0]/xF[1]);
      g39 = -g2;
      g40 = pow(alpha, NP1*g0);
      g41 = pow(alpha, NP1*g1);
      g42 = pow(alpha, NP1*g4);
      g43 = log(g22);
      g44 = pow(alpha, NP1*g5);
      g45 = pow(alpha, NP1*g6);
      g46 = pow(alpha, NP1*g7);
      g47 = pow(alpha, NP1*g8);
      g48 = pow(alpha, NP1*g9);
      g49 = pow(alpha, NP1*g10);
      g50 = pow(alpha, NP1*g11);
      g51 = pow(alpha, NP1*g12);
      g52 = pow(alpha, NP1*g13);
      g53 = pow(alpha, NP1*g14);
      g54 = pow(alpha, NP1*g15);
      g55 = pow(alpha, NP1*g16);
      g56 = pow(alpha, NP1*g17);
      g57 = -g38;
      g58 = g18/g3;
      g59 = g3/g18;
      g60 = -g40 + 1;
      g61 = -g40 + 1;
      g62 = -g41 + 1;
      g63 = -g49 + 1;
      g64 = -g50 + 1;
      g65 = -g51 + 1;
      g66 = -g52 + 1;
      g67 = -g53 + 1;
      g68 = -g54 + 1;
      g69 = -g55 + 1;
      g70 = -g56 + 1;
      g71 = -g42 + 1;
      g72 = -g44 + 1;
      g73 = -g45 + 1;
      g74 = -g46 + 1;
      g75 = -g47 + 1;
      g76 = -g48 + 1;
      g77 = -g41;
      g78 = -g42;
      g79 = -g44;
      g80 = -g45;
      g81 = -g46;
      g82 = -g47;
      g83 = -g48;
      g84 = -g49;
      g85 = -g50;
      g86 = -g51;
      g87 = -g52;
      g88 = -g53;
      g89 = -g54;
      g90 = -g55;
      g91 = -g56;
      g92 = -1.0*g38;
      g93 = -g3/g19;
      g94 = g19/(g3*xF[1]);
      g95 = pow(alpha, g0*g39) - 1;
      g96 = pow(alpha, g0*g39) - 1;
      g97 = pow(alpha, g1*g39) - 1;
      g98 = pow(alpha, g10*g39) - 1;
      g99 = pow(alpha, g11*g39) - 1;
      g100 = pow(alpha, g12*g39) - 1;
      g101 = pow(alpha, g13*g39) - 1;
      g102 = pow(alpha, g14*g39) - 1;
      g103 = pow(alpha, g15*g39) - 1;
      g104 = pow(alpha, g16*g39) - 1;
      g105 = pow(alpha, g17*g39) - 1;
      g106 = pow(alpha, g39*g4) - 1;
      g107 = pow(alpha, g39*g5) - 1;
      g108 = pow(alpha, g39*g6) - 1;
      g109 = pow(alpha, g39*g7) - 1;
      g110 = pow(alpha, g39*g8) - 1;
      g111 = pow(alpha, g39*g9) - 1;
      g112 = -pow(alpha, g1*g39);
      g113 = -pow(alpha, g39*g4);
      g114 = -pow(alpha, g39*g5);
      g115 = -pow(alpha, g39*g6);
      g116 = -pow(alpha, g39*g7);
      g117 = -pow(alpha, g39*g8);
      g118 = -pow(alpha, g39*g9);
      g119 = -pow(alpha, g10*g39);
      g120 = -pow(alpha, g11*g39);
      g121 = -pow(alpha, g12*g39);
      g122 = -pow(alpha, g13*g39);
      g123 = -pow(alpha, g14*g39);
      g124 = -pow(alpha, g15*g39);
      g125 = -pow(alpha, g16*g39);
      g126 = -pow(alpha, g17*g39);
      g127 = g61 + g96;
      g128 = -g112 - g41;
      g129 = -g113 - g42;
      g130 = -g114 - g44;
      g131 = -g115 - g45;
      g132 = -g116 - g46;
      g133 = -g117 - g47;
      g134 = -g118 - g48;
      g135 = -g119 - g49;
      g136 = -g120 - g50;
      g137 = -g121 - g51;
      g138 = -g122 - g52;
      g139 = -g123 - g53;
      g140 = -g124 - g54;
      g141 = -g125 - g55;
      g142 = -g126 - g56;
      g143 = pow(alpha, g1*g39) + g77;
      g144 = g61 + g96;
      g145 = pow(alpha, g39*g4) + g78;
      g146 = pow(alpha, g39*g5) + g79;
      g147 = pow(alpha, g39*g6) + g80;
      g148 = pow(alpha, g39*g7) + g81;
      g149 = pow(alpha, g39*g8) + g82;
      g150 = pow(alpha, g39*g9) + g83;
      g151 = pow(alpha, g10*g39) + g84;
      g152 = pow(alpha, g11*g39) + g85;
      g153 = pow(alpha, g12*g39) + g86;
      g154 = pow(alpha, g13*g39) + g87;
      g155 = pow(alpha, g14*g39) + g88;
      g156 = pow(alpha, g15*g39) + g89;
      g157 = pow(alpha, g16*g39) + g90;
      g158 = pow(alpha, g17*g39) + g91;
      g159 = xF[11]/g146;
      g160 = xF[9]/g158;
      g161 = xF[8]/g157;
      g162 = xF[1]/g144;
      g163 = xF[10]/g145;
      g164 = xF[15]/g150;
      g165 = xF[3]/g152;
      g166 = xF[7]/g156;
      g167 = xF[4]/g153;
      g168 = xF[12]/g147;
      g169 = xF[13]/g148;
      g170 = xF[6]/g155;
      g171 = xF[14]/g149;
      g172 = xF[5]/g154;
      g173 = xF[2]/g151;
      g174 = xF[0]/g143;
      g175 = xF[0]/g128;
      g176 = xF[15]/g134;
      g177 = xF[4]/g137;
      g178 = xF[7]/g140;
      g179 = xF[2]/g135;
      g180 = xF[11]/g130;
      g181 = xF[1]/g127;
      g182 = xF[13]/g132;
      g183 = xF[3]/g136;
      g184 = xF[6]/g139;
      g185 = xF[14]/g133;
      g186 = xF[8]/g141;
      g187 = xF[12]/g131;
      g188 = xF[10]/g129;
      g189 = xF[9]/g142;
      g190 = xF[5]/g138;
      g191 = g73/g131;
      g192 = g70/g142;
      g193 = g76/g134;
      g194 = g65/g137;
      g195 = g68/g140;
      g196 = g62/g128;
      g197 = g66/g138;
      g198 = g67/g139;
      g199 = g74/g132;
      g200 = g64/g136;
      g201 = g60/g127;
      g202 = g72/g130;
      g203 = g63/g135;
      g204 = g75/g133;
      g205 = g71/g129;
      g206 = g69/g141;
      g207 = g97/g128;
      g208 = g111/g134;
      g209 = g107/g130;
      g210 = g98/g135;
      g211 = g99/g136;
      g212 = g100/g137;
      g213 = g95/g127;
      g214 = g104/g141;
      g215 = g105/g142;
      g216 = g102/g139;
      g217 = g110/g133;
      g218 = g108/g131;
      g219 = g109/g132;
      g220 = g103/g140;
      g221 = g106/g129;
      g222 = g101/g138;
      g223 = log(g144*g20*g94/g61);
      g224 = log(g127*g20*g94/g60);
      g225 = log(g144*g21*g58/g96);
      g226 = 1.0*g223;
      g227 = log(g127*g21*g58/g95);
      g228 = 1.0*g225;
      g229 = -g159*g226*(g79 + 1) - g159*g228*(pow(alpha, g39*g5) - 1) - g160*g226*(g91 + 1) - g160*g228*(pow(alpha, g17*g39) - 1) - g161*g226*(g90 + 1) - g161*g228*(pow(alpha, g16*g39) - 1) - g162*g226*g61 - g162*g228*g96 - g163*g226*(g78 + 1) - g163*g228*(pow(alpha, g39*g4) - 1) - g164*g226*(g83 + 1) - g164*g228*(pow(alpha, g39*g9) - 1) - g165*g226*(g85 + 1) - g165*g228*(pow(alpha, g11*g39) - 1) - g166*g226*(g89 + 1) - g166*g228*(pow(alpha, g15*g39) - 1) - g167*g226*(g86 + 1) - g167*g228*(pow(alpha, g12*g39) - 1) - g168*g226*(g80 + 1) - g168*g228*(pow(alpha, g39*g6) - 1) - g169*g226*(g81 + 1) - g169*g228*(pow(alpha, g39*g7) - 1) - g170*g226*(g88 + 1) - g170*g228*(pow(alpha, g14*g39) - 1) - g171*g226*(g82 + 1) - g171*g228*(pow(alpha, g39*g8) - 1) - g172*g226*(g87 + 1) - g172*g228*(pow(alpha, g13*g39) - 1) - g173*g226*(g84 + 1) - g173*g228*(pow(alpha, g10*g39) - 1) - g174*g226*(g77 + 1) - g174*g228*(pow(alpha, g1*g39) - 1) - g92*xF[0] - g92*xF[10] - g92*xF[11] - g92*xF[12] - g92*xF[13] - g92*xF[14] - g92*xF[15] - g92*xF[1] - g92*xF[2] - g92*xF[3] - g92*xF[4] - g92*xF[5] - g92*xF[6] - g92*xF[7] - g92*xF[8] - g92*xF[9];
      LpF = xF[0]*(g22 + 1.0)*(g196*g224 + g207*g227 + g57)/(g43*(g22 - 1.0)) + xF[10]*(g23 + 1.0)*(g205*g224 + g221*g227 + g57)/(g43*(g23 - 1.0)) + xF[11]*(g24 + 1.0)*(g202*g224 + g209*g227 + g57)/(g43*(g24 - 1.0)) + xF[12]*(g25 + 1.0)*(g191*g224 + g218*g227 + g57)/(g43*(g25 - 1.0)) + xF[13]*(g26 + 1.0)*(g199*g224 + g219*g227 + g57)/(g43*(g26 - 1.0)) + xF[14]*(g27 + 1.0)*(g204*g224 + g217*g227 + g57)/(g43*(g27 - 1.0)) + xF[15]*(g28 + 1.0)*(g193*g224 + g208*g227 + g57)/(g43*(g28 - 1.0)) + xF[1]*(g29 + 1.0)*(g201*g224 + g213*g227 + g57)/(g43*(g29 - 1.0)) + xF[2]*(g30 + 1.0)*(g203*g224 + g210*g227 + g57)/(g43*(g30 - 1.0)) + xF[3]*(g31 + 1.0)*(g200*g224 + g211*g227 + g57)/(g43*(g31 - 1.0)) + xF[4]*(g32 + 1.0)*(g194*g224 + g212*g227 + g57)/(g43*(g32 - 1.0)) + xF[5]*(g33 + 1.0)*(g197*g224 + g222*g227 + g57)/(g43*(g33 - 1.0)) + xF[6]*(g34 + 1.0)*(g198*g224 + g216*g227 + g57)/(g43*(g34 - 1.0)) + xF[7]*(g35 + 1.0)*(g195*g224 + g220*g227 + g57)/(g43*(g35 - 1.0)) + xF[8]*(g36 + 1.0)*(g206*g224 + g214*g227 + g57)/(g43*(g36 - 1.0)) + xF[9]*(g37 + 1.0)*(g192*g224 + g215*g227 + g57)/(g43*(g37 - 1.0));
      PpF = g58;
      TpF = -g19/g3;
      SWUpF = g229;
      SWUpP = g229*g59;
      xP[0] = g175*g59*g97;
      xP[1] = g181*g59*g95;
      xP[2] = g179*g59*g98;
      xP[3] = g183*g59*g99;
      xP[4] = g100*g177*g59;
      xP[5] = g101*g190*g59;
      xP[6] = g102*g184*g59;
      xP[7] = g103*g178*g59;
      xP[8] = g104*g186*g59;
      xP[9] = g105*g189*g59;
      xP[10] = g106*g188*g59;
      xP[11] = g107*g180*g59;
      xP[12] = g108*g187*g59;
      xP[13] = g109*g182*g59;
      xP[14] = g110*g185*g59;
      xP[15] = g111*g176*g59;
      xT[0] = g175*g62*g93;
      xT[1] = g181*g60*g93;
      xT[2] = g179*g63*g93;
      xT[3] = g183*g64*g93;
      xT[4] = g177*g65*g93;
      xT[5] = g190*g66*g93;
      xT[6] = g184*g67*g93;
      xT[7] = g178*g68*g93;
      xT[8] = g186*g69*g93;
      xT[9] = g189*g70*g93;
      xT[10] = g188*g71*g93;
      xT[11] = g180*g72*g93;
      xT[12] = g187*g73*g93;
      xT[13] = g182*g74*g93;
      xT[14] = g185*g75*g93;
      xT[15] = g176*g76*g93;
      break;
    case 17:
      n0 = MW[0] - Mstar;
      n1 = log(alpha);
      n2 = xPj - xTj;
      n3 = xF[0] - xPj;
      n4 = MW[10] - Mstar;
      n5 = MW[11] - Mstar;
      n6 = MW[12] - Mstar;
      n7 = MW[13] - Mstar;
      n8 = MW[14] - Mstar;
      n9 = MW[15] - Mstar;
      n10 = MW[16] - Mstar;
      n11 = MW[1] - Mstar;
      n12 = MW[2] - Mstar;
      n13 = MW[3] - Mstar;
      n14 = MW[4] - Mstar;
      n15 = MW[5] - Mstar;
      n16 = MW[6] - Mstar;
      n17 = MW[7] - Mstar;
      n18 = MW[8] - Mstar;
      n19 = MW[9] - Mstar;
      n20 = log(xTj);
      n21 = -2;
      n22 = -n0;
      n23 = xF[0]*xPj;
      n24 = -Mstar;
      n25 = -NP0*n21;
      n26 = -xTj;
      n27 = -xPj;
      n28 = -MW[0];
      n29 = pow(n0, -n21);
      n30 = pow(n1, -n21);
      n31 = pow(n4, -n21);
      n32 = pow(n5, -n21);
      n33 = pow(n6, -n21);
      n34 = pow(n7, -n21);
      n35 = pow(n8, -n21);
      n36 = pow(n9, -n21);
      n37 = pow(n10, -n21);
      n38 = pow(n11, -n21);
      n39 = pow(n12, -n21);
      n40 = pow(n13, -n21);
      n41 = pow(n14, -n21);
      n42 = pow(n15, -n21);
      n43 = pow(n16, -n21);
      n44 = pow(n17, -n21);
      n45 = pow(n18, -n21);
      n46 = pow(n19, -n21);
      n47 = Mstar*n1;
      n48 = -n1*n21;
      n49 = n1*xF[4];
      n50 = pow(alpha, NP0*n0);
      n51 = n23 + n26*xF[0];
      n52 = n23 + n26*xPj;
      n53 = pow(alpha, NP0*n4);
      n54 = pow(alpha, NP0*n5);
      n55 = pow(alpha, NP0*n6);
      n56 = pow(alpha, NP0*n7);
      n57 = pow(alpha, NP0*n8);
      n58 = pow(alpha, NP0*n9);
      n59 = pow(alpha, NP0*n10);
      n60 = pow(alpha, NP0*n11);
      n61 = pow(alpha, NP0*n12);
      n62 = pow(alpha, NP0*n13);
      n63 = pow(alpha, NP0*n14);
      n64 = pow(alpha, NP0*n15);
      n65 = pow(alpha, NP0*n16);
      n66 = pow(alpha, NP0*n17);
      n67 = pow(alpha, NP0*n18);
      n68 = pow(alpha, NP0*n19);
      n69 = n1*n28;
      n70 = n2/n3;
      n71 = n1*n6;
      n72 = n1*n15;
      n73 = n1*n5;
      n74 = n1*n19;
      n75 = n1*n14;
      n76 = n1*n12;
      n77 = n1*n16;
      n78 = n1*n9;
      n79 = n1*n7;
      n80 = n1*n17;
      n81 = -n50 + 1;
      n82 = -n53 + 1;
      n83 = pow(alpha, NP0*n21*n22);
      n84 = pow(n51, -n21);
      n85 = pow(n52, -n21);
      n86 = -n54 + 1;
      n87 = -n55 + 1;
      n88 = -n56 + 1;
      n89 = -n57 + 1;
      n90 = -n58 + 1;
      n91 = -n59 + 1;
      n92 = -n60 + 1;
      n93 = -n61 + 1;
      n94 = -n62 + 1;
      n95 = -n63 + 1;
      n96 = -n64 + 1;
      n97 = -n65 + 1;
      n98 = -n66 + 1;
      n99 = -n67 + 1;
      n100 = -n68 + 1;
      n101 = n81;
      n102 = -n50;
      n103 = -n54;
      n104 = -n56;
      n105 = -n57;
      n106 = -n59;
      n107 = -n61;
      n108 = -n63;
      n109 = -n64;
      n110 = -n65;
      n111 = -n70;
      n112 = n55*xF[12];
      n113 = n66*xF[7];
      n114 = n0*n30;
      n115 = n68*xF[9];
      n116 = 1/(n0*n1);
      n117 = n60*xF[1];
      n118 = n58*xF[15];
      n119 = n61*xF[2];
      n120 = n91*xF[16];
      n121 = n13*n62;
      n122 = n90*xF[15];
      n123 = n87*xF[12];
      n124 = n0*n50;
      n125 = n30*n42;
      n126 = n14*n63;
      n127 = n100*xF[9];
      n128 = n57*n8;
      n129 = n4*n53;
      n130 = n97*xF[6];
      n131 = n89*xF[14];
      n132 = n93*xF[2];
      n133 = n96*xF[5];
      n134 = n88*xF[13];
      n135 = n101*xF[0];
      n136 = n30*n36;
      n137 = n30*n39;
      n138 = n10*n59;
      n139 = n30*n38;
      n140 = n92*xF[1];
      n141 = n11*n60;
      n142 = n30*n33;
      n143 = n56*n7;
      n144 = n29*n30;
      n145 = n30*n35;
      n146 = n18*n67;
      n147 = n81*xF[0];
      n148 = log((-1.0 + xPj/xF[0])/n2);
      n149 = n1*n124;
      n150 = n1*n129;
      n151 = n54*n73;
      n152 = n55*n71;
      n153 = n56*n79;
      n154 = n1*n128;
      n155 = n58*n78;
      n156 = n1*n138;
      n157 = n1*n141;
      n158 = n61*n76;
      n159 = n1*n121;
      n160 = n63*n75;
      n161 = n64*n72;
      n162 = n65*n77;
      n163 = n66*n80;
      n164 = n1*n146;
      n165 = n68*n74;
      n166 = n52/n51;
      n167 = n1*n11*n117;
      n168 = n153*xF[13];
      n169 = n144*n50;
      n170 = n30*n34*n56;
      n171 = n30*n32*n54;
      n172 = n30*n45*n67;
      n173 = n30*n37*n59;
      n174 = n30*n31*n53;
      n175 = n30*n43*n65;
      n176 = n30*n40*n62;
      n177 = n102*n166 + 1;
      n178 = -n166*n50 + 1;
      n179 = pow(n177, -n21);
      n180 = n148 + n20 + n47 + n69;
      n181 = n1/n178;
      n182 = n50/n178;
      n183 = n181*n50;
      n184 = n166/n178;
      n185 = n166*n50/n177;
      n186 = n166*n182;
      n187 = n116*(n180 - log(n177)) + 1;
      n188 = n116*(n180 - log(n178)) + 1;
      n189 = pow(alpha, n0*n187);
      n190 = pow(alpha, n187*n4);
      n191 = pow(alpha, n187*n5);
      n192 = pow(alpha, n187*n6);
      n193 = pow(alpha, n187*n7);
      n194 = pow(alpha, n187*n8);
      n195 = pow(alpha, n187*n9);
      n196 = pow(alpha, n10*n187);
      n197 = pow(alpha, n11*n187);
      n198 = pow(alpha, n12*n187);
      n199 = pow(alpha, n13*n187);
      n200 = pow(alpha, n14*n187);
      n201 = pow(alpha, n15*n187);
      n202 = pow(alpha, n16*n187);
      n203 = pow(alpha, n17*n187);
      n204 = pow(alpha, n18*n187);
      n205 = pow(alpha, n187*n19);
      n206 = -1/n193;
      n207 = n17/n203;
      n208 = -1/n192;
      n209 = -1/n202;
      n210 = -1/n190;
      n211 = n13/n199;
      n212 = n8/n194;
      n213 = -1/n195;
      n214 = n18/n204;
      n215 = -1/n196;
      n216 = -1/n191;
      n217 = n5/n191;
      n218 = n14/n200;
      n219 = -1/n201;
      n220 = n11/n197;
      n221 = -1/n205;
      n222 = n12/n198;
      n223 = -1/n199;
      n224 = -1/n189;
      n225 = n9/n195;
      n226 = n6/n192;
      n227 = -1/n204;
      n228 = n4/n190;
      n229 = -1/n197;
      n230 = n15/n201;
      n231 = n19/n205;
      n232 = -1/n203;
      n233 = n10/n196;
      n234 = pow(alpha, n187*n22) + n81 - 1;
      n235 = n82 - 1 + 1.0/n190;
      n236 = n86 - 1 + 1.0/n191;
      n237 = n87 - 1 + 1.0/n192;
      n238 = n88 - 1 + 1.0/n193;
      n239 = n89 - 1 + 1.0/n194;
      n240 = n90 - 1 + 1.0/n195;
      n241 = n91 - 1 + 1.0/n196;
      n242 = n92 - 1 + 1.0/n197;
      n243 = n93 - 1 + 1.0/n198;
      n244 = n94 - 1 + 1.0/n199;
      n245 = n95 - 1 + 1.0/n200;
      n246 = n96 - 1 + 1.0/n201;
      n247 = n97 - 1 + 1.0/n202;
      n248 = n98 - 1 + 1.0/n203;
      n249 = n99 - 1 + 1.0/n204;
      n250 = n100 - 1 + 1.0/n205;
      n251 = -n224 + n81 - 1;
      n252 = -n210 + n82 - 1;
      n253 = -n216 + n86 - 1;
      n254 = -n208 + n87 - 1;
      n255 = -n206 + n88 - 1;
      n256 = n239;
      n257 = -n213 + n90 - 1;
      n258 = -n215 + n91 - 1;
      n259 = -n229 + n92 - 1;
      n260 = n243;
      n261 = -n223 + n94 - 1;
      n262 = n245;
      n263 = -n219 + n96 - 1;
      n264 = -n209 + n97 - 1;
      n265 = -n232 + n98 - 1;
      n266 = -n227 + n99 - 1;
      n267 = n100 - n221 - 1;
      n268 = pow(n234, -n21);
      n269 = pow(n235, -n21);
      n270 = pow(n236, -n21);
      n271 = pow(n237, -n21);
      n272 = pow(n238, -n21);
      n273 = pow(n239, -n21);
      n274 = pow(n240, -n21);
      n275 = pow(n241, -n21);
      n276 = pow(n242, -n21);
      n277 = pow(n243, -n21);
      n278 = pow(n244, -n21);
      n279 = pow(n245, -n21);
      n280 = pow(n246, -n21);
      n281 = pow(n247, -n21);
      n282 = pow(n248, -n21);
      n283 = pow(n249, -n21);
      n284 = pow(n250, -n21);
      n285 = pow(n234, 3);
      n286 = pow(n235, 3);
      n287 = pow(n236, 3);
      n288 = pow(n237, 3);
      n289 = pow(n238, 3);
      n290 = pow(n239, 3);
      n291 = pow(n240, 3);
      n292 = pow(n241, 3);
      n293 = pow(n242, 3);
      n294 = pow(n243, 3);
      n295 = pow(n244, 3);
      n296 = pow(n245, 3);
      n297 = pow(n246, 3);
      n298 = pow(n247, 3);
      n299 = pow(n248, 3);
      n300 = pow(n249, 3);
      n301 = pow(n250, 3);
      n302 = pow(n251, -n21);
      n303 = xF[11]/n236;
      n304 = xF[0]/n234;
      n305 = xF[10]/n235;
      n306 = xF[13]/n238;
      n307 = xF[8]/n249;
      n308 = xF[16]/n241;
      n309 = xF[6]/n247;
      n310 = xF[3]/n244;
      n311 = xF[3]/n278;
      n312 = xF[10]/n269;
      n313 = xF[0]/n251;
      n314 = n1/n268;
      n315 = n1*n313;
      n316 = n64*xF[5]/n246;
      n317 = n119/n243;
      n318 = n118/n240;
      n319 = n57*xF[14]/n239;
      n320 = n30*n44/n248;
      n321 = n86/n287;
      n322 = n86/n270;
      n323 = n95/n296;
      n324 = n81/n268;
      n325 = n133/n280;
      n326 = n98*xF[7]/n299;
      n327 = n140/n276;
      n328 = n95*xF[4]/n279;
      n329 = n98*xF[7]/n282;
      n330 = n99*xF[8]/n283;
      n331 = 1/(n177*n189);
      n332 = n115*n30*n46/n250;
      n333 = n30*n41*n63*xF[4]/n245;
      n334 = n1*n22*n304*n50*n70;
      n335 = n169*n304*n70;
      n336 = n174*n305*n70;
      n337 = n171*n303*n70;
      n338 = n112*n142*n70/n237;
      n339 = n170*n306*n70;
      n340 = n145*n319*n70;
      n341 = n136*n318*n70;
      n342 = n173*n308*n70;
      n343 = n117*n139*n70/n242;
      n344 = n137*n317*n70;
      n345 = n176*n310*n70;
      n346 = n333*n70;
      n347 = n125*n316*n70;
      n348 = n175*n309*n70;
      n349 = n113*n320*n70;
      n350 = n172*n307*n70;
      n351 = n332*n70;
      n352 = 0.5*n335;
      n353 = n166*n331 + 1;
      n354 = n149*n166*n331 + n149;
      n355 = n1*n185*n228 + n150;
      n356 = n151 + n185*n73/n191;
      n357 = n152 + n185*n71/n192;
      n358 = n153 + n185*n79/n193;
      n359 = n1*n185*n212 + n154;
      n360 = n155 + n185*n78/n195;
      n361 = n1*n185*n233 + n156;
      n362 = n1*n185*n220 + n157;
      n363 = n158 + n185*n76/n198;
      n364 = n1*n185*n211 + n159;
      n365 = n160 + n185*n75/n200;
      n366 = n161 + n185*n72/n201;
      n367 = n162 + n185*n77/n202;
      n368 = n163 + n185*n80/n203;
      n369 = n1*n185*n214 + n164;
      n370 = n165 + n185*n74/n205;
      n371 = pow(n354, -n21);
      n372 = pow(n355, -n21);
      n373 = pow(n356, -n21);
      n374 = pow(n357, -n21);
      n375 = pow(n358, -n21);
      n376 = pow(n359, -n21);
      n377 = pow(n360, -n21);
      n378 = pow(n361, -n21);
      n379 = pow(n362, -n21);
      n380 = pow(n363, -n21);
      n381 = pow(n364, -n21);
      n382 = pow(n365, -n21);
      n383 = pow(n366, -n21);
      n384 = pow(n367, -n21);
      n385 = pow(n368, -n21);
      n386 = pow(n369, -n21);
      n387 = pow(n370, -n21);
      n388 = pow(alpha, n188*n22)*n149*n184 + n149;
      n389 = n354*xF[0];
      n390 = n356*xF[11];
      n391 = n365*xF[4];
      n392 = n369*xF[8];
      n393 = n1*n185*n21*n22/n189 + n1*n21*n22*n50;
      n394 = n373*xF[11];
      n395 = n382*xF[4];
      n396 = n102*n144*n166*n331 + n102*n144;
      n397 = n364*n94;
      n398 = n355*n82;
      n399 = n357/n271;
      n400 = n363/n277;
      n401 = n370/n284;
      n402 = n358/n272;
      n403 = n359/n273;
      n404 = n360/n274;
      n405 = n361/n275;
      n406 = n387/n301;
      n407 = n384/n298;
      n408 = n377/n291;
      n409 = n375/n289;
      n410 = n376/n290;
      n411 = n380/n294;
      n412 = n374/n288;
      n413 = n383/n297;
      n414 = n378/n292;
      n415 = n379/n293;
      n416 = n393/n285;
      n417 = n381*n94*xF[3]/n295;
      n418 = n386*n99*xF[8]/n300;
      n419 = n147*n371/n285;
      n420 = n372*n82*xF[10]/n286;
      n421 = n135*n388/n302;
      n422 = n21*n22*n314*n50*n70*xF[0]*(pow(alpha, NP0*n0 + n187*n22)*n0*n1*n166/n177 + n149);
      n423 = n129*n312*n48*n70*(pow(alpha, NP0*n0 - n187*n4)*n1*n166*n4/n177 + n150);
      n424 = n48*n5*n54*n70*xF[11]*(pow(alpha, NP0*n0 - n187*n5)*n166*n73/n177 + n151)/n270;
      n425 = n112*n48*n6*n70*(pow(alpha, NP0*n0 - n187*n6)*n166*n71/n177 + n152)/n271;
      n426 = n143*n48*n70*xF[13]*(pow(alpha, NP0*n0 - n187*n7)*n166*n79/n177 + n153)/n272;
      n427 = n128*n48*n70*xF[14]*(pow(alpha, NP0*n0 - n187*n8)*n1*n166*n8/n177 + n154)/n273;
      n428 = n118*n48*n70*n9*(pow(alpha, NP0*n0 - n187*n9)*n166*n78/n177 + n155)/n274;
      n429 = n138*n48*n70*xF[16]*(pow(alpha, NP0*n0 - n10*n187)*n1*n10*n166/n177 + n156)/n275;
      n430 = n11*n117*n48*n70*(pow(alpha, NP0*n0 - n11*n187)*n1*n11*n166/n177 + n157)/n276;
      n431 = n119*n12*n48*n70*(pow(alpha, NP0*n0 - n12*n187)*n166*n76/n177 + n158)/n277;
      n432 = n121*n311*n48*n70*(pow(alpha, NP0*n0 - n13*n187)*n1*n13*n166/n177 + n159);
      n433 = n126*n48*n70*xF[4]*(pow(alpha, NP0*n0 - n14*n187)*n166*n75/n177 + n160)/n279;
      n434 = n15*n48*n64*n70*xF[5]*(pow(alpha, NP0*n0 - n15*n187)*n166*n72/n177 + n161)/n280;
      n435 = n16*n48*n65*n70*xF[6]*(pow(alpha, NP0*n0 - n16*n187)*n166*n77/n177 + n162)/n281;
      n436 = n113*n17*n48*n70*(pow(alpha, NP0*n0 - n17*n187)*n166*n80/n177 + n163)/n282;
      n437 = n146*n48*n70*xF[8]*(pow(alpha, NP0*n0 - n18*n187)*n1*n166*n18/n177 + n164)/n283;
      n438 = n115*n19*n48*n70*(pow(alpha, NP0*n0 - n187*n19)*n166*n74/n177 + n165)/n284;
      n439 = 1.0*n149*n389*n70/n268;
      n440 = n147*n396*n70/n268;
      n441 = 0.5*n440;
      n442 = pow(alpha, n0*n25)*n114*n228*n85/(n179*n84) + pow(alpha, n0*n25)*n210*n30*n31*n85/(n179*n84) + n114*n185*n228 + n174;
      n443 = pow(alpha, n0*n25)*n114*n217*n85/(n179*n84) + pow(alpha, n0*n25)*n216*n30*n32*n85/(n179*n84) + n114*n185*n217 + n171;
      n444 = pow(alpha, n0*n25)*n114*n226*n85/(n179*n84) + pow(alpha, n0*n25)*n142*n208*n85/(n179*n84) + n114*n185*n226 + n142*n55;
      n445 = pow(alpha, n0*n25)*n22*n30*n7*n85/(n179*n193*n84) + pow(alpha, n0*n25)*n30*n34*n85/(n179*n193*n84) + n104*n30*n34 + n185*n22*n30*n7/n193;
      n446 = pow(alpha, n0*n25)*n145*n85/(n179*n194*n84) + pow(alpha, n0*n25)*n212*n22*n30*n85/(n179*n84) + n105*n145 + n185*n212*n22*n30;
      n447 = pow(alpha, n0*n25)*n114*n225*n85/(n179*n84) + pow(alpha, n0*n25)*n136*n213*n85/(n179*n84) + n114*n185*n225 + n136*n58;
      n448 = pow(alpha, n0*n25)*n22*n233*n30*n85/(n179*n84) + pow(alpha, n0*n25)*n30*n37*n85/(n179*n196*n84) + n106*n30*n37 + n185*n22*n233*n30;
      n449 = pow(alpha, n0*n25)*n137*n85/(n179*n198*n84) + pow(alpha, n0*n25)*n22*n222*n30*n85/(n179*n84) + n107*n137 + n185*n22*n222*n30;
      n450 = pow(alpha, n0*n25)*n114*n211*n85/(n179*n84) + pow(alpha, n0*n25)*n223*n30*n40*n85/(n179*n84) + n114*n185*n211 + n176;
      n451 = pow(alpha, n0*n25)*n16*n22*n30*n85/(n179*n202*n84) + pow(alpha, n0*n25)*n30*n43*n85/(n179*n202*n84) + n110*n30*n43 + n16*n185*n22*n30/n202;
      n452 = pow(alpha, n0*n25)*n114*n231*n85/(n179*n84) + pow(alpha, n0*n25)*n221*n30*n46*n85/(n179*n84) + n114*n185*n231 + n30*n46*n68;
      n453 = n134*n70*(pow(alpha, n0*n25 - n187*n7)*n22*n30*n7*n85/(n179*n84) + pow(alpha, n0*n25 - n187*n7)*n30*n34*n85/(n179*n84) + n104*n30*n34 + n185*n22*n30*n7/n193)/n272;
      n454 = n131*n70*(pow(alpha, n0*n25 - n187*n8)*n145*n85/(n179*n84) + pow(alpha, n0*n25 - n187*n8)*n22*n30*n8*n85/(n179*n84) + n105*n145 + n185*n212*n22*n30)/n273;
      n455 = n120*n70*(pow(alpha, n0*n25 - n10*n187)*n10*n22*n30*n85/(n179*n84) + pow(alpha, n0*n25 - n10*n187)*n30*n37*n85/(n179*n84) + n106*n30*n37 + n185*n22*n233*n30)/n275;
      n456 = n132*n70*(pow(alpha, n0*n25 - n12*n187)*n12*n22*n30*n85/(n179*n84) + pow(alpha, n0*n25 - n12*n187)*n137*n85/(n179*n84) + n107*n137 + n185*n22*n222*n30)/n277;
      n457 = n328*n70*(pow(alpha, n0*n25 - n14*n187)*n14*n22*n30*n85/(n179*n84) + pow(alpha, n0*n25 - n14*n187)*n30*n41*n85/(n179*n84) + n108*n30*n41 + n185*n218*n22*n30);
      n458 = n130*n70*(pow(alpha, n0*n25 - n16*n187)*n16*n22*n30*n85/(n179*n84) + pow(alpha, n0*n25 - n16*n187)*n30*n43*n85/(n179*n84) + n110*n30*n43 + n16*n185*n22*n30/n202)/n281;
      n459 = n111*n312*n82*(pow(alpha, n0*n25 - n187*n4)*n114*n4*n85/(n179*n84) - pow(alpha, n0*n25 - n187*n4)*n30*n31*n85/(n179*n84) + n114*n185*n228 + n174);
      n460 = n111*n322*xF[11]*(pow(alpha, n0*n25 - n187*n5)*n114*n5*n85/(n179*n84) - pow(alpha, n0*n25 - n187*n5)*n30*n32*n85/(n179*n84) + n114*n185*n217 + n171);
      n461 = n111*n123*(pow(alpha, n0*n25 - n187*n6)*n114*n6*n85/(n179*n84) - pow(alpha, n0*n25 - n187*n6)*n142*n85/(n179*n84) + n114*n185*n226 + n142*n55)/n271;
      n462 = n111*n122*(pow(alpha, n0*n25 - n187*n9)*n114*n85*n9/(n179*n84) - pow(alpha, n0*n25 - n187*n9)*n136*n85/(n179*n84) + n114*n185*n225 + n136*n58)/n274;
      n463 = n111*n327*(pow(alpha, n0*n25 - n11*n187)*n11*n114*n85/(n179*n84) - pow(alpha, n0*n25 - n11*n187)*n139*n85/(n179*n84) + n114*n185*n220 + n139*n60);
      n464 = n111*n311*n94*(pow(alpha, n0*n25 - n13*n187)*n114*n13*n85/(n179*n84) - pow(alpha, n0*n25 - n13*n187)*n30*n40*n85/(n179*n84) + n114*n185*n211 + n176);
      n465 = n111*n325*(pow(alpha, n0*n25 - n15*n187)*n114*n15*n85/(n179*n84) - pow(alpha, n0*n25 - n15*n187)*n125*n85/(n179*n84) + n114*n185*n230 + n125*n64);
      n466 = n111*n329*(pow(alpha, n0*n25 - n17*n187)*n114*n17*n85/(n179*n84) - pow(alpha, n0*n25 - n17*n187)*n30*n44*n85/(n179*n84) + n114*n185*n207 + n30*n44*n66);
      n467 = n111*n330*(pow(alpha, n0*n25 - n18*n187)*n114*n18*n85/(n179*n84) - pow(alpha, n0*n25 - n18*n187)*n30*n45*n85/(n179*n84) + n114*n185*n214 + n172);
      n468 = n111*n127*(pow(alpha, n0*n25 - n187*n19)*n114*n19*n85/(n179*n84) - pow(alpha, n0*n25 - n187*n19)*n30*n46*n85/(n179*n84) + n114*n185*n231 + n30*n46*n68)/n284;
      n469 = n335 + n336 + n337 + n338 + n339 + n340 + n341 + n342 + n343 + n344 + n345 + n346 + n347 + n348 + n349 + n350 + n351 + n422 + n423 + n424 + n425 + n426 + n427 + n428 + n429 + n430 + n431 + n432 + n433 + n434 + n435 + n436 + n437 + n438 + n440 + n453 + n454 + n455 + n456 + n457 + n458 + n459 + n460 + n461 + n462 + n463 + n464 + n465 + n466 + n467 + n468;
      n470 = n111*n120*n361*(n138*n48 + n185*n233*n48)/n292 + n111*n122*n360*(n185*n225*n48 + n48*n58*n9)/n291 + n111*n123*n357*(n185*n226*n48 + n48*n55*n6)/n288 + n111*n127*n370*(n185*n231*n48 + n19*n48*n68)/n301 + n111*n130*n367*(n16*n185*n48/n202 + n16*n48*n65)/n298 + n111*n131*n359*(n128*n48 + n185*n212*n48)/n290 + n111*n132*n363*(n12*n48*n61 + n185*n222*n48)/n294 + n111*n133*n366*(n15*n48*n64 + n185*n230*n48)/n297 + n111*n134*n358*(n143*n48 + n185*n48*n7/n193)/n289 + n111*n140*n362*(n141*n48 + n185*n220*n48)/n293 + n111*n147*n354*n416 + n111*n321*n390*(n185*n217*n48 + n48*n5*n54) + n111*n323*n391*(n126*n48 + n185*n218*n48) + n111*n326*n368*(n17*n48*n66 + n185*n207*n48) + n111*n392*n99*(n146*n48 + n185*n214*n48)/n300 + n111*n397*xF[3]*(n121*n48 + n185*n211*n48)/n295 + n111*n398*xF[10]*(n129*n48 + n185*n228*n48)/n286 + n469;
      n471 = n470*xTj;
      NP_b = -n147*n149*n353*n70/n268 - n25*(0.5*n147*n70*(pow(alpha, NP0*n0 - n0*n187)*n144*(-n23 + xPj*xTj)/(n177*n51) + n102*n144)/n268 + 1.0*n149*n70*xF[0]*(pow(alpha, NP0*n0 - n0*n187)*n0*n1*n166/n177 + n149)/n268 + n352 - 1.0*n419*n70 - 0.5*xTj*(n111*n122*(pow(alpha, NP0*n0 - n187*n9)*n114*n166*n9/n177 + pow(alpha, n0*n25 - n187*n9)*n114*n85*n9/(n179*n84) - pow(alpha, n0*n25 - n187*n9)*n136*n85/(n179*n84) + n136*n58)/n274 + n111*n123*(pow(alpha, NP0*n0 - n187*n6)*n114*n166*n6/n177 + pow(alpha, n0*n25 - n187*n6)*n114*n6*n85/(n179*n84) - pow(alpha, n0*n25 - n187*n6)*n142*n85/(n179*n84) + n142*n55)/n271 + n111*n127*(pow(alpha, NP0*n0 - n187*n19)*n114*n166*n19/n177 + pow(alpha, n0*n25 - n187*n19)*n114*n19*n85/(n179*n84) - pow(alpha, n0*n25 - n187*n19)*n30*n46*n85/(n179*n84) + n30*n46*n68)/n284 + n111*n311*n94*(pow(alpha, NP0*n0 - n13*n187)*n114*n13*n166/n177 + pow(alpha, n0*n25 - n13*n187)*n114*n13*n85/(n179*n84) - pow(alpha, n0*n25 - n13*n187)*n30*n40*n85/(n179*n84) + n176) + n111*n312*n82*(pow(alpha, NP0*n0 - n187*n4)*n114*n166*n4/n177 + pow(alpha, n0*n25 - n187*n4)*n114*n4*n85/(n179*n84) - pow(alpha, n0*n25 - n187*n4)*n30*n31*n85/(n179*n84) + n174) + n111*n322*xF[11]*(pow(alpha, NP0*n0 - n187*n5)*n114*n166*n5/n177 + pow(alpha, n0*n25 - n187*n5)*n114*n5*n85/(n179*n84) - pow(alpha, n0*n25 - n187*n5)*n30*n32*n85/(n179*n84) + n171) + n111*n325*(pow(alpha, NP0*n0 - n15*n187)*n114*n15*n166/n177 + pow(alpha, n0*n25 - n15*n187)*n114*n15*n85/(n179*n84) - pow(alpha, n0*n25 - n15*n187)*n125*n85/(n179*n84) + n125*n64) + n111*n327*(pow(alpha, NP0*n0 - n11*n187)*n11*n114*n166/n177 + pow(alpha, n0*n25 - n11*n187)*n11*n114*n85/(n179*n84) - pow(alpha, n0*n25 - n11*n187)*n139*n85/(n179*n84) + n139*n60) + n111*n329*(pow(alpha, NP0*n0 - n17*n187)*n114*n166*n17/n177 + pow(alpha, n0*n25 - n17*n187)*n114*n17*n85/(n179*n84) - pow(alpha, n0*n25 - n17*n187)*n30*n44*n85/(n179*n84) + n30*n44*n66) + n111*n330*(pow(alpha, NP0*n0 - n18*n187)*n114*n166*n18/n177 + pow(alpha, n0*n25 - n18*n187)*n114*n18*n85/(n179*n84) - pow(alpha, n0*n25 - n18*n187)*n30*n45*n85/(n179*n84) + n172) + n120*n21*n414*n70 + n120*n70*(pow(alpha, NP0*n0 - n10*n187)*n10*n166*n22*n30/n177 + pow(alpha, n0*n25 - n10*n187)*n10*n22*n30*n85/(n179*n84) + pow(alpha, n0*n25 - n10*n187)*n30*n37*n85/(n179*n84) + n106*n30*n37)/n275 + n122*n21*n408*n70 + n123*n21*n412*n70 + n127*n21*n406*n70 + n130*n21*n407*n70 + n130*n70*(pow(alpha, NP0*n0 - n16*n187)*n16*n166*n22*n30/n177 + pow(alpha, n0*n25 - n16*n187)*n16*n22*n30*n85/(n179*n84) + pow(alpha, n0*n25 - n16*n187)*n30*n43*n85/(n179*n84) + n110*n30*n43)/n281 + n131*n21*n410*n70 + n131*n70*(pow(alpha, NP0*n0 - n187*n8)*n166*n22*n30*n8/n177 + pow(alpha, n0*n25 - n187*n8)*n145*n85/(n179*n84) + pow(alpha, n0*n25 - n187*n8)*n22*n30*n8*n85/(n179*n84) + n105*n145)/n273 + n132*n21*n411*n70 + n132*n70*(pow(alpha, NP0*n0 - n12*n187)*n12*n166*n22*n30/n177 + pow(alpha, n0*n25 - n12*n187)*n12*n22*n30*n85/(n179*n84) + pow(alpha, n0*n25 - n12*n187)*n137*n85/(n179*n84) + n107*n137)/n277 + n133*n21*n413*n70 + n134*n21*n409*n70 + n134*n70*(pow(alpha, NP0*n0 - n187*n7)*n166*n22*n30*n7/n177 + pow(alpha, n0*n25 - n187*n7)*n22*n30*n7*n85/(n179*n84) + pow(alpha, n0*n25 - n187*n7)*n30*n34*n85/(n179*n84) + n104*n30*n34)/n272 + n140*n21*n415*n70 + n147*n70*(pow(alpha, NP0*n0 - n0*n187)*n144*(-n23 + xPj*xTj)/(n177*n51) + n102*n144)/n268 + n21*n321*n394*n70 + n21*n323*n395*n70 + n21*n326*n385*n70 + n21*n417*n70 + n21*n418*n70 + n21*n419*n70 + n21*n420*n70 + n328*n70*(pow(alpha, NP0*n0 - n14*n187)*n14*n166*n22*n30/n177 + pow(alpha, n0*n25 - n14*n187)*n14*n22*n30*n85/(n179*n84) + pow(alpha, n0*n25 - n14*n187)*n30*n41*n85/(n179*n84) + n108*n30*n41) + n335 + n336 + n337 + n338 + n339 + n340 + n341 + n342 + n343 + n344 + n345 + n346 + n347 + n348 + n349 + n350 + n351 + n422 + n423 + n424 + n425 + n426 + n427 + n428 + n429 + n430 + n431 + n432 + n433 + n434 + n435 + n436 + n437 + n438)) - n334 - n70*xTj*(n112*n71/n237 + n113*n80/n248 + n115*n74/n250 - n120*n405 - n122*n404 - n123*n399 + n126*n49/n245 - n127*n401 - n130*n367/n281 - n131*n403 - n132*n400 - n134*n402 - n147*n354/n268 + n149*n304 + n150*n305 + n151*n303 + n154*xF[14]/n239 + n156*n308 + n159*n310 + n161*xF[5]/n246 + n162*n309 + n164*n307 + n167/n242 + n168/n238 - n311*n397 - n312*n398 + n317*n76 + n318*n78 - n322*n390 - n325*n366 - n327*n362 - n328*n365 - n329*n368 - n330*n369);
      NP_2a = -n70*(-pow(alpha, n0*n25)*n144*n147*n21*pow(n353, -n21)/n285 - 2.0*pow(alpha, n0*n25)*n144*n353*xF[0]/n268 + n102*n144*n147*(n331*(-n23 + xPj*xTj)/n51 - 1)/n268 - 1.0*n169*n304 + 1.0*xTj*(n11*n117*n48*(pow(alpha, NP0*n0 - n11*n187)*n1*n11*n166/n177 + n157)/n276 + n112*n142/n237 + n112*n48*n6*(pow(alpha, NP0*n0 - n187*n6)*n166*n71/n177 + n152)/n271 + n113*n17*n48*(pow(alpha, NP0*n0 - n17*n187)*n166*n80/n177 + n163)/n282 + n113*n320 + n115*n19*n48*(pow(alpha, NP0*n0 - n187*n19)*n166*n74/n177 + n165)/n284 + n117*n139/n242 + n118*n48*n9*(pow(alpha, NP0*n0 - n187*n9)*n166*n78/n177 + n155)/n274 + n119*n12*n48*(pow(alpha, NP0*n0 - n12*n187)*n166*n76/n177 + n158)/n277 + n120*n21*n414 + n120*(pow(alpha, n0*n25 - n10*n187)*n10*n22*n30*n85/(n179*n84) + pow(alpha, n0*n25 - n10*n187)*n30*n37*n85/(n179*n84) + n106*n30*n37 + n185*n22*n233*n30)/n275 + n121*n311*n48*(pow(alpha, NP0*n0 - n13*n187)*n1*n13*n166/n177 + n159) + n122*n21*n408 - n122*(pow(alpha, n0*n25 - n187*n9)*n114*n85*n9/(n179*n84) - pow(alpha, n0*n25 - n187*n9)*n136*n85/(n179*n84) + n114*n185*n225 + n136*n58)/n274 + n123*n21*n412 - n123*(pow(alpha, n0*n25 - n187*n6)*n114*n6*n85/(n179*n84) - pow(alpha, n0*n25 - n187*n6)*n142*n85/(n179*n84) + n114*n185*n226 + n142*n55)/n271 + n125*n316 + n126*n48*xF[4]*(pow(alpha, NP0*n0 - n14*n187)*n166*n75/n177 + n160)/n279 + n127*n21*n406 - n127*(pow(alpha, n0*n25 - n187*n19)*n114*n19*n85/(n179*n84) - pow(alpha, n0*n25 - n187*n19)*n30*n46*n85/(n179*n84) + n114*n185*n231 + n30*n46*n68)/n284 + n128*n48*xF[14]*(pow(alpha, NP0*n0 - n187*n8)*n1*n166*n8/n177 + n154)/n273 + n129*n312*n48*(pow(alpha, NP0*n0 - n187*n4)*n1*n166*n4/n177 + n150) + n130*n21*n407 + n130*(pow(alpha, n0*n25 - n16*n187)*n16*n22*n30*n85/(n179*n84) + pow(alpha, n0*n25 - n16*n187)*n30*n43*n85/(n179*n84) + n110*n30*n43 + n16*n185*n22*n30/n202)/n281 + n131*n21*n410 + n131*(pow(alpha, n0*n25 - n187*n8)*n145*n85/(n179*n84) + pow(alpha, n0*n25 - n187*n8)*n22*n30*n8*n85/(n179*n84) + n105*n145 + n185*n212*n22*n30)/n273 + n132*n21*n411 + n132*(pow(alpha, n0*n25 - n12*n187)*n12*n22*n30*n85/(n179*n84) + pow(alpha, n0*n25 - n12*n187)*n137*n85/(n179*n84) + n107*n137 + n185*n22*n222*n30)/n277 + n133*n21*n413 + n134*n21*n409 + n134*(pow(alpha, n0*n25 - n187*n7)*n22*n30*n7*n85/(n179*n84) + pow(alpha, n0*n25 - n187*n7)*n30*n34*n85/(n179*n84) + n104*n30*n34 + n185*n22*n30*n7/n193)/n272 + n136*n318 + n137*n317 + n138*n48*xF[16]*(pow(alpha, NP0*n0 - n10*n187)*n1*n10*n166/n177 + n156)/n275 + n140*n21*n415 + n143*n48*xF[13]*(pow(alpha, NP0*n0 - n187*n7)*n166*n79/n177 + n153)/n272 + n145*n319 + n146*n48*xF[8]*(pow(alpha, NP0*n0 - n18*n187)*n1*n166*n18/n177 + n164)/n283 + n147*n396/n268 + n15*n48*n64*xF[5]*(pow(alpha, NP0*n0 - n15*n187)*n166*n72/n177 + n161)/n280 + n16*n48*n65*xF[6]*(pow(alpha, NP0*n0 - n16*n187)*n166*n77/n177 + n162)/n281 + n169*n304 + n170*n306 + n171*n303 + n172*n307 + n173*n308 + n174*n305 + n175*n309 + n176*n310 + n21*n22*n314*n50*xF[0]*(pow(alpha, NP0*n0 + n187*n22)*n0*n1*n166/n177 + n149) + n21*n321*n394 + n21*n323*n395 + n21*n326*n385 + n21*n417 + n21*n418 + n21*n419 + n21*n420 - n311*n94*(pow(alpha, n0*n25 - n13*n187)*n114*n13*n85/(n179*n84) - pow(alpha, n0*n25 - n13*n187)*n30*n40*n85/(n179*n84) + n114*n185*n211 + n176) - n312*n82*(pow(alpha, n0*n25 - n187*n4)*n114*n4*n85/(n179*n84) - pow(alpha, n0*n25 - n187*n4)*n30*n31*n85/(n179*n84) + n114*n185*n228 + n174) - n322*xF[11]*(pow(alpha, n0*n25 - n187*n5)*n114*n5*n85/(n179*n84) - pow(alpha, n0*n25 - n187*n5)*n30*n32*n85/(n179*n84) + n114*n185*n217 + n171) - n325*(pow(alpha, n0*n25 - n15*n187)*n114*n15*n85/(n179*n84) - pow(alpha, n0*n25 - n15*n187)*n125*n85/(n179*n84) + n114*n185*n230 + n125*n64) - n327*(pow(alpha, n0*n25 - n11*n187)*n11*n114*n85/(n179*n84) - pow(alpha, n0*n25 - n11*n187)*n139*n85/(n179*n84) + n114*n185*n220 + n139*n60) + n328*(pow(alpha, n0*n25 - n14*n187)*n14*n22*n30*n85/(n179*n84) + pow(alpha, n0*n25 - n14*n187)*n30*n41*n85/(n179*n84) + n108*n30*n41 + n185*n218*n22*n30) - n329*(pow(alpha, n0*n25 - n17*n187)*n114*n17*n85/(n179*n84) - pow(alpha, n0*n25 - n17*n187)*n30*n44*n85/(n179*n84) + n114*n185*n207 + n30*n44*n66) - n330*(pow(alpha, n0*n25 - n18*n187)*n114*n18*n85/(n179*n84) - pow(alpha, n0*n25 - n18*n187)*n30*n45*n85/(n179*n84) + n114*n185*n214 + n172) + n332 + n333 + n48*n5*n54*xF[11]*(pow(alpha, NP0*n0 - n187*n5)*n166*n73/n177 + n151)/n270));
      NP_sqrt_base = (-NP0*(n22*n315*n50*n70 + n421*n70 + xTj*(n100*n111*pow(n267, n21)*xF[9]*(n165 + pow(alpha, -n188*n19)*n186*n74) + n111*pow(n252, n21)*n82*xF[10]*(n150 + pow(alpha, -n188*n4)*n166*n183*n4) + n111*pow(n253, n21)*n86*xF[11]*(n151 + pow(alpha, -n188*n5)*n186*n73) + n111*pow(n254, n21)*n87*xF[12]*(n152 + pow(alpha, -n188*n6)*n186*n71) + n111*pow(n255, n21)*n88*xF[13]*(n153 + pow(alpha, -n188*n7)*n186*n79) + n111*pow(n256, n21)*n89*xF[14]*(n154 + pow(alpha, -n188*n8)*n166*n183*n8) + n111*pow(n257, n21)*n90*xF[15]*(n155 + pow(alpha, -n188*n9)*n186*n78) + n111*pow(n258, n21)*n91*xF[16]*(n156 + pow(alpha, -n10*n188)*n10*n166*n183) + n111*pow(n259, n21)*n92*xF[1]*(n157 + pow(alpha, -n11*n188)*n11*n166*n183) + n111*pow(n260, n21)*n93*xF[2]*(n158 + pow(alpha, -n12*n188)*n186*n76) + n111*pow(n261, n21)*n94*xF[3]*(n159 + pow(alpha, -n13*n188)*n13*n166*n183) + n111*pow(n262, n21)*n95*xF[4]*(n160 + pow(alpha, -n14*n188)*n186*n75) + n111*pow(n263, n21)*n96*xF[5]*(n161 + pow(alpha, -n15*n188)*n186*n72) + n111*pow(n264, n21)*n97*xF[6]*(n162 + pow(alpha, -n16*n188)*n186*n77) + n111*pow(n265, n21)*n98*xF[7]*(n163 + pow(alpha, -n17*n188)*n186*n80) + n111*pow(n266, n21)*n99*xF[8]*(n164 + pow(alpha, -n18*n188)*n166*n18*n183) + n111*n421 + n112*n70*n71/n254 + n113*n70*n80/n265 + n115*n70*n74/n267 + n118*n70*n78/n257 + n119*n70*n76/n260 + n126*n49*n70/n262 + n149*n313*n70 + n150*n70*xF[10]/n252 + n151*n70*xF[11]/n253 + n154*n70*xF[14]/n256 + n156*n70*xF[16]/n258 + n159*n70*xF[3]/n261 + n161*n70*xF[5]/n263 + n162*n70*xF[6]/n264 + n164*n70*xF[8]/n266 + n167*n70/n259 + n168*n70/n255)) - n111*n135/n251 - n26*(-n120*n70/(n91 - 1 + pow(alpha, -n10*(n116*(n180 - log(n102*(n23 + n27*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n122*n70/(n90 - 1 + pow(alpha, -n9*(n116*(n180 - log(n102*(n23 + n27*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n123*n70/(n87 - 1 + pow(alpha, -n6*(n116*(n180 - log(n102*(n23 + n27*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n127*n70/(n100 - 1 + pow(alpha, -n19*(n116*(n180 - log(n102*(n23 + n27*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n130*n70/(n97 - 1 + pow(alpha, -n16*(n116*(n180 - log(n102*(n23 + n27*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n131*n70/(n89 - 1 + pow(alpha, -n8*(n116*(n180 - log(n102*(n23 + n27*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n132*n70/(n93 - 1 + pow(alpha, -n12*(n116*(n180 - log(n102*(n23 + n27*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n133*n70/(n96 - 1 + pow(alpha, -n15*(n116*(n180 - log(n102*(n23 + n27*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n134*n70/(n88 - 1 + pow(alpha, -n7*(n116*(n180 - log(n102*(n23 + n27*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n140*n70/(n92 - 1 + pow(alpha, -n11*(n116*(n180 - log(n102*(n23 + n27*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n147*n70/(pow(alpha, n22*(n116*(n180 - log(n102*(n23 + n27*xTj)/(n23 - xF[0]*xTj) + 1)) + 1)) + n81 - 1) - n70*n82*xF[10]/(n82 - 1 + pow(alpha, -n4*(n116*(n180 - log(n102*(n23 + n27*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n70*n86*xF[11]/(n86 - 1 + pow(alpha, -n5*(n116*(n180 - log(n102*(n23 + n27*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n70*n94*xF[3]/(n94 - 1 + pow(alpha, -n13*(n116*(n180 - log(n102*(n23 + n27*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n70*n95*xF[4]/(n95 - 1 + pow(alpha, -n14*(n116*(n180 - log(n102*(n23 + n27*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n70*n98*xF[7]/(n98 - 1 + pow(alpha, -n17*(n116*(n180 - log(n102*(n23 + n27*xTj)/(n23 - xF[0]*xTj) + 1)) + 1))) - n70*n99*xF[8]/(n99 - 1 + pow(alpha, -n18*(n116*(n180 - log(n102*(n23 + n27*xTj)/(n23 - xF[0]*xTj) + 1)) + 1)))) - pow(NP0, -n21)*(-0.5*n147*n354*n416*n70 + 1.0*n149*n389*n70/n268 + 0.5*n335 + 0.5*n440 - 0.5*n471))*(4.0*n149*n389*n70/n268 - n21*n26*(n111*n120*(pow(alpha, NP0*n0 - n10*n187)*n1*n10*n166/n177 + n156)*(pow(alpha, NP0*n0 - n10*n187)*n10*n166*n48/n177 + n138*n48)/n292 + n111*n122*(pow(alpha, NP0*n0 - n187*n9)*n166*n78/n177 + n155)*(pow(alpha, NP0*n0 - n187*n9)*n166*n48*n9/n177 + n48*n58*n9)/n291 + n111*n122*(pow(alpha, NP0*n0 - n187*n9)*n114*n166*n9/n177 + pow(alpha, n0*n25 - n187*n9)*n114*n85*n9/(n179*n84) - pow(alpha, n0*n25 - n187*n9)*n136*n85/(n179*n84) + n136*n58)/n274 + n111*n123*(pow(alpha, NP0*n0 - n187*n6)*n166*n71/n177 + n152)*(pow(alpha, NP0*n0 - n187*n6)*n166*n48*n6/n177 + n48*n55*n6)/n288 + n111*n123*(pow(alpha, NP0*n0 - n187*n6)*n114*n166*n6/n177 + pow(alpha, n0*n25 - n187*n6)*n114*n6*n85/(n179*n84) - pow(alpha, n0*n25 - n187*n6)*n142*n85/(n179*n84) + n142*n55)/n271 + n111*n127*(pow(alpha, NP0*n0 - n187*n19)*n166*n74/n177 + n165)*(pow(alpha, NP0*n0 - n187*n19)*n166*n19*n48/n177 + n19*n48*n68)/n301 + n111*n127*(pow(alpha, NP0*n0 - n187*n19)*n114*n166*n19/n177 + pow(alpha, n0*n25 - n187*n19)*n114*n19*n85/(n179*n84) - pow(alpha, n0*n25 - n187*n19)*n30*n46*n85/(n179*n84) + n30*n46*n68)/n284 + n111*n130*(pow(alpha, NP0*n0 - n16*n187)*n166*n77/n177 + n162)*(pow(alpha, NP0*n0 - n16*n187)*n16*n166*n48/n177 + n16*n48*n65)/n298 + n111*n131*(pow(alpha, NP0*n0 - n187*n8)*n1*n166*n8/n177 + n154)*(pow(alpha, NP0*n0 - n187*n8)*n166*n48*n8/n177 + n128*n48)/n290 + n111*n132*(pow(alpha, NP0*n0 - n12*n187)*n166*n76/n177 + n158)*(pow(alpha, NP0*n0 - n12*n187)*n12*n166*n48/n177 + n12*n48*n61)/n294 + n111*n133*(pow(alpha, NP0*n0 - n15*n187)*n166*n72/n177 + n161)*(pow(alpha, NP0*n0 - n15*n187)*n15*n166*n48/n177 + n15*n48*n64)/n297 + n111*n134*(pow(alpha, NP0*n0 - n187*n7)*n166*n79/n177 + n153)*(pow(alpha, NP0*n0 - n187*n7)*n166*n48*n7/n177 + n143*n48)/n289 + n111*n140*(pow(alpha, NP0*n0 - n11*n187)*n1*n11*n166/n177 + n157)*(pow(alpha, NP0*n0 - n11*n187)*n11*n166*n48/n177 + n141*n48)/n293 + n111*n147*(pow(alpha, NP0*n0 - n0*n187)*n0*n1*n166/n177 + n149)*(pow(alpha, NP0*n0 - n0*n187)*n1*n166*n21*n22/n177 + n1*n21*n22*n50)/n285 + n111*n311*n94*(pow(alpha, NP0*n0 - n13*n187)*n114*n13*n166/n177 + pow(alpha, n0*n25 - n13*n187)*n114*n13*n85/(n179*n84) - pow(alpha, n0*n25 - n13*n187)*n30*n40*n85/(n179*n84) + n176) + n111*n312*n82*(pow(alpha, NP0*n0 - n187*n4)*n114*n166*n4/n177 + pow(alpha, n0*n25 - n187*n4)*n114*n4*n85/(n179*n84) - pow(alpha, n0*n25 - n187*n4)*n30*n31*n85/(n179*n84) + n174) + n111*n321*xF[11]*(pow(alpha, NP0*n0 - n187*n5)*n166*n73/n177 + n151)*(pow(alpha, NP0*n0 - n187*n5)*n166*n48*n5/n177 + n48*n5*n54) + n111*n322*xF[11]*(pow(alpha, NP0*n0 - n187*n5)*n114*n166*n5/n177 + pow(alpha, n0*n25 - n187*n5)*n114*n5*n85/(n179*n84) - pow(alpha, n0*n25 - n187*n5)*n30*n32*n85/(n179*n84) + n171) + n111*n323*xF[4]*(pow(alpha, NP0*n0 - n14*n187)*n166*n75/n177 + n160)*(pow(alpha, NP0*n0 - n14*n187)*n14*n166*n48/n177 + n126*n48) + n111*n325*(pow(alpha, NP0*n0 - n15*n187)*n114*n15*n166/n177 + pow(alpha, n0*n25 - n15*n187)*n114*n15*n85/(n179*n84) - pow(alpha, n0*n25 - n15*n187)*n125*n85/(n179*n84) + n125*n64) + n111*n326*(pow(alpha, NP0*n0 - n17*n187)*n166*n80/n177 + n163)*(pow(alpha, NP0*n0 - n17*n187)*n166*n17*n48/n177 + n17*n48*n66) + n111*n327*(pow(alpha, NP0*n0 - n11*n187)*n11*n114*n166/n177 + pow(alpha, n0*n25 - n11*n187)*n11*n114*n85/(n179*n84) - pow(alpha, n0*n25 - n11*n187)*n139*n85/(n179*n84) + n139*n60) + n111*n329*(pow(alpha, NP0*n0 - n17*n187)*n114*n166*n17/n177 + pow(alpha, n0*n25 - n17*n187)*n114*n17*n85/(n179*n84) - pow(alpha, n0*n25 - n17*n187)*n30*n44*n85/(n179*n84) + n30*n44*n66) + n111*n330*(pow(alpha, NP0*n0 - n18*n187)*n114*n166*n18/n177 + pow(alpha, n0*n25 - n18*n187)*n114*n18*n85/(n179*n84) - pow(alpha, n0*n25 - n18*n187)*n30*n45*n85/(n179*n84) + n172) + n111*n99*xF[8]*(pow(alpha, NP0*n0 - n18*n187)*n1*n166*n18/n177 + n164)*(pow(alpha, NP0*n0 - n18*n187)*n166*n18*n48/n177 + n146*n48)/n300 + n111*n94*xF[3]*(pow(alpha, NP0*n0 - n13*n187)*n1*n13*n166/n177 + n159)*(pow(alpha, NP0*n0 - n13*n187)*n13*n166*n48/n177 + n121*n48)/n295 + n111*n82*xF[10]*(pow(alpha, NP0*n0 - n187*n4)*n1*n166*n4/n177 + n150)*(pow(alpha, NP0*n0 - n187*n4)*n166*n4*n48/n177 + n129*n48)/n286 + n120*n70*(pow(alpha, NP0*n0 - n10*n187)*n10*n166*n22*n30/n177 + pow(alpha, n0*n25 - n10*n187)*n10*n22*n30*n85/(n179*n84) + pow(alpha, n0*n25 - n10*n187)*n30*n37*n85/(n179*n84) + n106*n30*n37)/n275 + n130*n70*(pow(alpha, NP0*n0 - n16*n187)*n16*n166*n22*n30/n177 + pow(alpha, n0*n25 - n16*n187)*n16*n22*n30*n85/(n179*n84) + pow(alpha, n0*n25 - n16*n187)*n30*n43*n85/(n179*n84) + n110*n30*n43)/n281 + n131*n70*(pow(alpha, NP0*n0 - n187*n8)*n166*n22*n30*n8/n177 + pow(alpha, n0*n25 - n187*n8)*n145*n85/(n179*n84) + pow(alpha, n0*n25 - n187*n8)*n22*n30*n8*n85/(n179*n84) + n105*n145)/n273 + n132*n70*(pow(alpha, NP0*n0 - n12*n187)*n12*n166*n22*n30/n177 + pow(alpha, n0*n25 - n12*n187)*n12*n22*n30*n85/(n179*n84) + pow(alpha, n0*n25 - n12*n187)*n137*n85/(n179*n84) + n107*n137)/n277 + n134*n70*(pow(alpha, NP0*n0 - n187*n7)*n166*n22*n30*n7/n177 + pow(alpha, n0*n25 - n187*n7)*n22*n30*n7*n85/(n179*n84) + pow(alpha, n0*n25 - n187*n7)*n30*n34*n85/(n179*n84) + n104*n30*n34)/n272 + n147*n70*(pow(alpha, NP0*n0 - n0*n187)*n144*(-n23 + xPj*xTj)/(n177*n51) + n102*n144)/n268 + n328*n70*(pow(alpha, NP0*n0 - n14*n187)*n14*n166*n22*n30/n177 + pow(alpha, n0*n25 - n14*n187)*n14*n22*n30*n85/(n179*n84) + pow(alpha, n0*n25 - n14*n187)*n30*n41*n85/(n179*n84) + n108*n30*n41) + n335 + n336 + n337 + n338 + n339 + n340 + n341 + n342 + n343 + n344 + n345 + n346 + n347 + n348 + n349 + n350 + n351 + n422 + n423 + n424 + n425 + n426 + n427 + n428 + n429 + n430 + n431 + n432 + n433 + n434 + n435 + n436 + n437 + n438) + 2.0*n335 - 4.0*n419*n70 + 2.0*n440) + pow(-n147*n354*n70/n268 - n25*(-0.5*n147*n70*(pow(alpha, NP0*n0 - n0*n187)*n0*n1*n166/n177 + n149)*(pow(alpha, NP0*n0 - n0*n187)*n1*n166*n21*n22/n177 + n1*n21*n22*n50)/n285 + 0.5*n147*n70*(pow(alpha, NP0*n0 - n0*n187)*n144*(-n23 + xPj*xTj)/(n177*n51) + n102*n144)/n268 + 1.0*n149*n70*xF[0]*(pow(alpha, NP0*n0 - n0*n187)*n0*n1*n166/n177 + n149)/n268 + n352 - 0.5*xTj*(n111*n120*(pow(alpha, NP0*n0 - n10*n187)*n1*n10*n166/n177 + n156)*(pow(alpha, NP0*n0 - n10*n187)*n10*n166*n48/n177 + n138*n48)/n292 + n111*n122*(pow(alpha, NP0*n0 - n187*n9)*n166*n78/n177 + n155)*(pow(alpha, NP0*n0 - n187*n9)*n166*n48*n9/n177 + n48*n58*n9)/n291 + n111*n122*(pow(alpha, NP0*n0 - n187*n9)*n114*n166*n9/n177 + pow(alpha, n0*n25 - n187*n9)*n114*n85*n9/(n179*n84) - pow(alpha, n0*n25 - n187*n9)*n136*n85/(n179*n84) + n136*n58)/n274 + n111*n123*(pow(alpha, NP0*n0 - n187*n6)*n166*n71/n177 + n152)*(pow(alpha, NP0*n0 - n187*n6)*n166*n48*n6/n177 + n48*n55*n6)/n288 + n111*n123*(pow(alpha, NP0*n0 - n187*n6)*n114*n166*n6/n177 + pow(alpha, n0*n25 - n187*n6)*n114*n6*n85/(n179*n84) - pow(alpha, n0*n25 - n187*n6)*n142*n85/(n179*n84) + n142*n55)/n271 + n111*n127*(pow(alpha, NP0*n0 - n187*n19)*n166*n74/n177 + n165)*(pow(alpha, NP0*n0 - n187*n19)*n166*n19*n48/n177 + n19*n48*n68)/n301 + n111*n127*(pow(alpha, NP0*n0 - n187*n19)*n114*n166*n19/n177 + pow(alpha, n0*n25 - n187*n19)*n114*n19*n85/(n179*n84) - pow(alpha, n0*n25 - n187*n19)*n30*n46*n85/(n179*n84) + n30*n46*n68)/n284 + n111*n130*(pow(alpha, NP0*n0 - n16*n187)*n166*n77/n177 + n162)*(pow(alpha, NP0*n0 - n16*n187)*n16*n166*n48/n177 + n16*n48*n65)/n298 + n111*n131*(pow(alpha, NP0*n0 - n187*n8)*n1*n166*n8/n177 + n154)*(pow(alpha, NP0*n0 - n187*n8)*n166*n48*n8/n177 + n128*n48)/n290 + n111*n132*(pow(alpha, NP0*n0 - n12*n187)*n166*n76/n177 + n158)*(pow(alpha, NP0*n0 - n12*n187)*n12*n166*n48/n177 + n12*n48*n61)/n294 + n111*n133*(pow(alpha, NP0*n0 - n15*n187)*n166*n72/n177 + n161)*(pow(alpha, NP0*n0 - n15*n187)*n15*n166*n48/n177 + n15*n48*n64)/n297 + n111*n134*(pow(alpha, NP0*n0 - n187*n7)*n166*n79/n177 + n153)*(pow(alpha, NP0*n0 - n187*n7)*n166*n48*n7/n177 + n143*n48)/n289 + n111*n140*(pow(alpha, NP0*n0 - n11*n187)*n1*n11*n166/n177 + n157)*(pow(alpha, NP0*n0 - n11*n187)*n11*n166*n48/n177 + n141*n48)/n293 + n111*n147*(pow(alpha, NP0*n0 - n0*n187)*n0*n1*n166/n177 + n149)*(pow(alpha, NP0*n0 - n0*n187)*n1*n166*n21*n22/n177 + n1*n21*n22*n50)/n285 + n111*n311*n94*(pow(alpha, NP0*n0 - n13*n187)*n114*n13*n166/n177 + pow(alpha, n0*n25 - n13*n187)*n114*n13*n85/(n179*n84) - pow(alpha, n0*n25 - n13*n187)*n30*n40*n85/(n179*n84) + n176) + n111*n312*n82*(pow(alpha, NP0*n0 - n187*n4)*n114*n166*n4/n177 + pow(alpha, n0*n25 - n187*n4)*n114*n4*n85/(n179*n84) - pow(alpha, n0*n25 - n187*n4)*n30*n31*n85/(n179*n84) + n174) + n111*n321*xF[11]*(pow(alpha, NP0*n0 - n187*n5)*n166*n73/n177 + n151)*(pow(alpha, NP0*n0 - n187*n5)*n166*n48*n5/n177 + n48*n5*n54) + n111*n322*xF[11]*(pow(alpha, NP0*n0 - n187*n5)*n114*n166*n5/n177 + pow(alpha, n0*n25 - n187*n5)*n114*n5*n85/(n179*n84) - pow(alpha, n0*n25 - n187*n5)*n30*n32*n85/(n179*n84) + n171) + n111*n323*xF[4]*(pow(alpha, NP0*n0 - n14*n187)*n166*n75/n177 + n160)*(pow(alpha, NP0*n0 - n14*n187)*n14*n166*n48/n177 + n126*n48) + n111*n325*(pow(alpha, NP0*n0 - n15*n187)*n114*n15*n166/n177 + pow(alpha, n0*n25 - n15*n187)*n114*n15*n85/(n179*n84) - pow(alpha, n0*n25 - n15*n187)*n125*n85/(n179*n84) + n125*n64) + n111*n326*(pow(alpha, NP0*n0 - n17*n187)*n166*n80/n177 + n163)*(pow(alpha, NP0*n0 - n17*n187)*n166*n17*n48/n177 + n17*n48*n66) + n111*n327*(pow(alpha, NP0*n0 - n11*n187)*n11*n114*n166/n177 + pow(alpha, n0*n25 - n11*n187)*n11*n114*n85/(n179*n84) - pow(alpha, n0*n25 - n11*n187)*n139*n85/(n179*n84) + n139*n60) + n111*n329*(pow(alpha, NP0*n0 - n17*n187)*n114*n166*n17/n177 + pow(alpha, n0*n25 - n17*n187)*n114*n17*n85/(n179*n84) - pow(alpha, n0*n25 - n17*n187)*n30*n44*n85/(n179*n84) + n30*n44*n66) + n111*n330*(pow(alpha, NP0*n0 - n18*n187)*n114*n166*n18/n177 + pow(alpha, n0*n25 - n18*n187)*n114*n18*n85/(n179*n84) - pow(alpha, n0*n25 - n18*n187)*n30*n45*n85/(n179*n84) + n172) + n111*n99*xF[8]*(pow(alpha, NP0*n0 - n18*n187)*n1*n166*n18/n177 + n164)*(pow(alpha, NP0*n0 - n18*n187)*n166*n18*n48/n177 + n146*n48)/n300 + n111*n94*xF[3]*(pow(alpha, NP0*n0 - n13*n187)*n1*n13*n166/n177 + n159)*(pow(alpha, NP0*n0 - n13*n187)*n13*n166*n48/n177 + n121*n48)/n295 + n111*n82*xF[10]*(pow(alpha, NP0*n0 - n187*n4)*n1*n166*n4/n177 + n150)*(pow(alpha, NP0*n0 - n187*n4)*n166*n4*n48/n177 + n129*n48)/n286 + n120*n70*(pow(alpha, NP0*n0 - n10*n187)*n10*n166*n22*n30/n177 + pow(alpha, n0*n25 - n10*n187)*n10*n22*n30*n85/(n179*n84) + pow(alpha, n0*n25 - n10*n187)*n30*n37*n85/(n179*n84) + n106*n30*n37)/n275 + n130*n70*(pow(alpha, NP0*n0 - n16*n187)*n16*n166*n22*n30/n177 + pow(alpha, n0*n25 - n16*n187)*n16*n22*n30*n85/(n179*n84) + pow(alpha, n0*n25 - n16*n187)*n30*n43*n85/(n179*n84) + n110*n30*n43)/n281 + n131*n70*(pow(alpha, NP0*n0 - n187*n8)*n166*n22*n30*n8/n177 + pow(alpha, n0*n25 - n187*n8)*n145*n85/(n179*n84) + pow(alpha, n0*n25 - n187*n8)*n22*n30*n8*n85/(n179*n84) + n105*n145)/n273 + n132*n70*(pow(alpha, NP0*n0 - n12*n187)*n12*n166*n22*n30/n177 + pow(alpha, n0*n25 - n12*n187)*n12*n22*n30*n85/(n179*n84) + pow(alpha, n0*n25 - n12*n187)*n137*n85/(n179*n84) + n107*n137)/n277 + n134*n70*(pow(alpha, NP0*n0 - n187*n7)*n166*n22*n30*n7/n177 + pow(alpha, n0*n25 - n187*n7)*n22*n30*n7*n85/(n179*n84) + pow(alpha, n0*n25 - n187*n7)*n30*n34*n85/(n179*n84) + n104*n30*n34)/n272 + n147*n70*(pow(alpha, NP0*n0 - n0*n187)*n144*(-n23 + xPj*xTj)/(n177*n51) + n102*n144)/n268 + n328*n70*(pow(alpha, NP0*n0 - n14*n187)*n14*n166*n22*n30/n177 + pow(alpha, n0*n25 - n14*n187)*n14*n22*n30*n85/(n179*n84) + pow(alpha, n0*n25 - n14*n187)*n30*n41*n85/(n179*n84) + n108*n30*n41) + n335 + n336 + n337 + n338 + n339 + n340 + n341 + n342 + n343 + n344 + n345 + n346 + n347 + n348 + n349 + n350 + n351 + n422 + n423 + n424 + n425 + n426 + n427 + n428 + n429 + n430 + n431 + n432 + n433 + n434 + n435 + n436 + n437 + n438)) - n334 - xTj*(n111*n120*n405 + n111*n122*n404 + n111*n123*n399 + n111*n127*n401 + n111*n130*n367/n281 + n111*n131*n403 + n111*n132*n400 + n111*n134*n402 + n111*n147*n354/n268 + n111*n311*n397 + n111*n312*n398 + n111*n322*n390 + n111*n325*n366 + n111*n327*n362 + n111*n328*n365 + n111*n329*n368 + n111*n330*n369 + n112*n70*n71/n237 + n113*n70*n80/n248 + n115*n70*n74/n250 + n126*n49*n70/n245 + n149*n304*n70 + n150*n305*n70 + n151*n303*n70 + n154*n70*xF[14]/n239 + n156*n308*n70 + n159*n310*n70 + n161*n70*xF[5]/n246 + n162*n309*n70 + n164*n307*n70 + n167*n70/n242 + n168*n70/n238 + n317*n70*n76 + n318*n70*n78), -n21);
      NP_sqrt_base = fabs(NP_sqrt_base);
      NP1 = (-NP_b - sqrt(NP_sqrt_base))/NP_2a;
      NT1 = n116*(n180 - log(-pow(alpha, NP1*n0)*n166 + 1));
      g0 = MW[1] - Mstar;
      g1 = MW[0] - Mstar;
      g2 = NT1 + 1;
      g3 = xPj - xTj;
      g4 = MW[10] - Mstar;
      g5 = MW[11] - Mstar;
      g6 = MW[12] - Mstar;
      g7 = MW[13] - Mstar;
      g8 = MW[14] - Mstar;
      g9 = MW[15] - Mstar;
      g10 = MW[16] - Mstar;
      g11 = MW[2] - Mstar;
      g12 = MW[3] - Mstar;
      g13 = MW[4] - Mstar;
      g14 = MW[5] - Mstar;
      g15 = MW[6] - Mstar;
      g16 = MW[7] - Mstar;
      g17 = MW[8] - Mstar;
      g18 = MW[9] - Mstar;
      g19 = xF[0] - xTj;
      g20 = xF[0] - xPj;
      g21 = -xTj;
      g22 = xPj/xF[1];
      g23 = pow(alpha, -g1);
      g24 = pow(alpha, -g4);
      g25 = pow(alpha, -g5);
      g26 = pow(alpha, -g6);
      g27 = pow(alpha, -g7);
      g28 = pow(alpha, -g8);
      g29 = pow(alpha, -g9);
      g30 = pow(alpha, -g10);
      g31 = pow(alpha, -g0);
      g32 = pow(alpha, -g11);
      g33 = pow(alpha, -g12);
      g34 = pow(alpha, -g13);
      g35 = pow(alpha, -g14);
      g36 = pow(alpha, -g15);
      g37 = pow(alpha, -g16);
      g38 = pow(alpha, -g17);
      g39 = pow(alpha, -g18);
      g40 = log(xF[0]/xF[1]);
      g41 = -g2;
      g42 = pow(alpha, NP1*g0);
      g43 = pow(alpha, NP1*g1);
      g44 = pow(alpha, NP1*g4);
      g45 = log(g23);
      g46 = pow(alpha, NP1*g5);
      g47 = pow(alpha, NP1*g6);
      g48 = pow(alpha, NP1*g7);
      g49 = pow(alpha, NP1*g8);
      g50 = pow(alpha, NP1*g9);
      g51 = pow(alpha, NP1*g10);
      g52 = pow(alpha, NP1*g11);
      g53 = pow(alpha, NP1*g12);
      g54 = pow(alpha, NP1*g13);
      g55 = pow(alpha, NP1*g14);
      g56 = pow(alpha, NP1*g15);
      g57 = pow(alpha, NP1*g16);
      g58 = pow(alpha, NP1*g17);
      g59 = pow(alpha, NP1*g18);
      g60 = -g40;
      g61 = g19/g3;
      g62 = g3/g19;
      g63 = -g42 + 1;
      g64 = -g42 + 1;
      g65 = -g43 + 1;
      g66 = -g52 + 1;
      g67 = -g53 + 1;
      g68 = -g54 + 1;
      g69 = -g55 + 1;
      g70 = -g56 + 1;
      g71 = -g57 + 1;
      g72 = -g58 + 1;
      g73 = -g59 + 1;
      g74 = -g44 + 1;
      g75 = -g46 + 1;
      g76 = -g47 + 1;
      g77 = -g48 + 1;
      g78 = -g49 + 1;
      g79 = -g50 + 1;
      g80 = -g51 + 1;
      g81 = -g43;
      g82 = -g44;
      g83 = -g46;
      g84 = -g47;
      g85 = -g48;
      g86 = -g49;
      g87 = -g50;
      g88 = -g51;
      g89 = -g52;
      g90 = -g53;
      g91 = -g54;
      g92 = -g55;
      g93 = -g56;
      g94 = -g57;
      g95 = -g58;
      g96 = -g59;
      g97 = -1.0*g40;
      g98 = -g3/g20;
      g99 = g20/(g3*xF[1]);
      g100 = pow(alpha, g0*g41) - 1;
      g101 = pow(alpha, g0*g41) - 1;
      g102 = pow(alpha, g1*g41) - 1;
      g103 = pow(alpha, g11*g41) - 1;
      g104 = pow(alpha, g12*g41) - 1;
      g105 = pow(alpha, g13*g41) - 1;
      g106 = pow(alpha, g14*g41) - 1;
      g107 = pow(alpha, g15*g41) - 1;
      g108 = pow(alpha, g16*g41) - 1;
      g109 = pow(alpha, g17*g41) - 1;
      g110 = pow(alpha, g18*g41) - 1;
      g111 = pow(alpha, g4*g41) - 1;
      g112 = pow(alpha, g41*g5) - 1;
      g113 = pow(alpha, g41*g6) - 1;
      g114 = pow(alpha, g41*g7) - 1;
      g115 = pow(alpha, g41*g8) - 1;
      g116 = pow(alpha, g41*g9) - 1;
      g117 = pow(alpha, g10*g41) - 1;
      g118 = -pow(alpha, g1*g41);
      g119 = -pow(alpha, g4*g41);
      g120 = -pow(alpha, g41*g5);
      g121 = -pow(alpha, g41*g6);
      g122 = -pow(alpha, g41*g7);
      g123 = -pow(alpha, g41*g8);
      g124 = -pow(alpha, g41*g9);
      g125 = -pow(alpha, g10*g41);
      g126 = -pow(alpha, g11*g41);
      g127 = -pow(alpha, g12*g41);
      g128 = -pow(alpha, g13*g41);
      g129 = -pow(alpha, g14*g41);
      g130 = -pow(alpha, g15*g41);
      g131 = -pow(alpha, g16*g41);
      g132 = -pow(alpha, g17*g41);
      g133 = -pow(alpha, g18*g41);
      g134 = g101 + g64;
      g135 = -g118 - g43;
      g136 = -g119 - g44;
      g137 = -g120 - g46;
      g138 = -g121 - g47;
      g139 = -g122 - g48;
      g140 = -g123 - g49;
      g141 = -g124 - g50;
      g142 = -g125 - g51;
      g143 = -g126 - g52;
      g144 = -g127 - g53;
      g145 = -g128 - g54;
      g146 = -g129 - g55;
      g147 = -g130 - g56;
      g148 = -g131 - g57;
      g149 = -g132 - g58;
      g150 = -g133 - g59;
      g151 = pow(alpha, g1*g41) + g81;
      g152 = g101 + g64;
      g153 = pow(alpha, g4*g41) + g82;
      g154 = pow(alpha, g41*g5) + g83;
      g155 = pow(alpha, g41*g6) + g84;
      g156 = pow(alpha, g41*g7) + g85;
      g157 = pow(alpha, g41*g8) + g86;
      g158 = pow(alpha, g41*g9) + g87;
      g159 = pow(alpha, g10*g41) + g88;
      g160 = pow(alpha, g11*g41) + g89;
      g161 = pow(alpha, g12*g41) + g90;
      g162 = pow(alpha, g13*g41) + g91;
      g163 = pow(alpha, g14*g41) + g92;
      g164 = pow(alpha, g15*g41) + g93;
      g165 = pow(alpha, g16*g41) + g94;
      g166 = pow(alpha, g17*g41) + g95;
      g167 = pow(alpha, g18*g41) + g96;
      g168 = xF[9]/g167;
      g169 = xF[8]/g166;
      g170 = xF[1]/g152;
      g171 = xF[10]/g153;
      g172 = xF[15]/g158;
      g173 = xF[3]/g161;
      g174 = xF[16]/g159;
      g175 = xF[7]/g165;
      g176 = xF[4]/g162;
      g177 = xF[12]/g155;
      g178 = xF[13]/g156;
      g179 = xF[11]/g154;
      g180 = xF[6]/g164;
      g181 = xF[14]/g157;
      g182 = xF[5]/g163;
      g183 = xF[2]/g160;
      g184 = xF[0]/g151;
      g185 = xF[0]/g135;
      g186 = xF[15]/g141;
      g187 = xF[4]/g145;
      g188 = xF[7]/g148;
      g189 = xF[2]/g143;
      g190 = xF[11]/g137;
      g191 = xF[1]/g134;
      g192 = xF[13]/g139;
      g193 = xF[16]/g142;
      g194 = xF[3]/g144;
      g195 = xF[6]/g147;
      g196 = xF[14]/g140;
      g197 = xF[8]/g149;
      g198 = xF[12]/g138;
      g199 = xF[10]/g136;
      g200 = xF[9]/g150;
      g201 = xF[5]/g146;
      g202 = g76/g138;
      g203 = g73/g150;
      g204 = g79/g141;
      g205 = g68/g145;
      g206 = g71/g148;
      g207 = g66/g143;
      g208 = g65/g135;
      g209 = g69/g146;
      g210 = g70/g147;
      g211 = g77/g139;
      g212 = g67/g144;
      g213 = g80/g142;
      g214 = g75/g137;
      g215 = g78/g140;
      g216 = g74/g136;
      g217 = g72/g149;
      g218 = g63/g134;
      g219 = g102/g135;
      g220 = g116/g141;
      g221 = g112/g137;
      g222 = g103/g143;
      g223 = g104/g144;
      g224 = g105/g145;
      g225 = g100/g134;
      g226 = g109/g149;
      g227 = g110/g150;
      g228 = g117/g142;
      g229 = g107/g147;
      g230 = g115/g140;
      g231 = g113/g138;
      g232 = g114/g139;
      g233 = g108/g148;
      g234 = g111/g136;
      g235 = g106/g146;
      g236 = log(g152*g21*g99/g64);
      g237 = log(g134*g21*g99/g63);
      g238 = log(g152*g22*g61/g101);
      g239 = 1.0*g236;
      g240 = log(g134*g22*g61/g100);
      g241 = 1.0*g238;
      g242 = -g101*g170*g241 - g168*g239*(g96 + 1) - g168*g241*(pow(alpha, g18*g41) - 1) - g169*g239*(g95 + 1) - g169*g241*(pow(alpha, g17*g41) - 1) - g170*g239*g64 - g171*g239*(g82 + 1) - g171*g241*(pow(alpha, g4*g41) - 1) - g172*g239*(g87 + 1) - g172*g241*(pow(alpha, g41*g9) - 1) - g173*g239*(g90 + 1) - g173*g241*(pow(alpha, g12*g41) - 1) - g174*g239*(g88 + 1) - g174*g241*(pow(alpha, g10*g41) - 1) - g175*g239*(g94 + 1) - g175*g241*(pow(alpha, g16*g41) - 1) - g176*g239*(g91 + 1) - g176*g241*(pow(alpha, g13*g41) - 1) - g177*g239*(g84 + 1) - g177*g241*(pow(alpha, g41*g6) - 1) - g178*g239*(g85 + 1) - g178*g241*(pow(alpha, g41*g7) - 1) - g179*g239*(g83 + 1) - g179*g241*(pow(alpha, g41*g5) - 1) - g180*g239*(g93 + 1) - g180*g241*(pow(alpha, g15*g41) - 1) - g181*g239*(g86 + 1) - g181*g241*(pow(alpha, g41*g8) - 1) - g182*g239*(g92 + 1) - g182*g241*(pow(alpha, g14*g41) - 1) - g183*g239*(g89 + 1) - g183*g241*(pow(alpha, g11*g41) - 1) - g184*g239*(g81 + 1) - g184*g241*(pow(alpha, g1*g41) - 1) - g97*xF[0] - g97*xF[10] - g97*xF[11] - g97*xF[12] - g97*xF[13] - g97*xF[14] - g97*xF[15] - g97*xF[16] - g97*xF[1] - g97*xF[2] - g97*xF[3] - g97*xF[4] - g97*xF[5] - g97*xF[6] - g97*xF[7] - g97*xF[8] - g97*xF[9];
      LpF = xF[0]*(g23 + 1.0)*(g208*g237 + g219*g240 + g60)/(g45*(g23 - 1.0)) + xF[10]*(g24 + 1.0)*(g216*g237 + g234*g240 + g60)/(g45*(g24 - 1.0)) + xF[11]*(g25 + 1.0)*(g214*g237 + g221*g240 + g60)/(g45*(g25 - 1.0)) + xF[12]*(g26 + 1.0)*(g202*g237 + g231*g240 + g60)/(g45*(g26 - 1.0)) + xF[13]*(g27 + 1.0)*(g211*g237 + g232*g240 + g60)/(g45*(g27 - 1.0)) + xF[14]*(g28 + 1.0)*(g215*g237 + g230*g240 + g60)/(g45*(g28 - 1.0)) + xF[15]*(g29 + 1.0)*(g204*g237 + g220*g240 + g60)/(g45*(g29 - 1.0)) + xF[16]*(g30 + 1.0)*(g213*g237 + g228*g240 + g60)/(g45*(g30 - 1.0)) + xF[1]*(g31 + 1.0)*(g218*g237 + g225*g240 + g60)/(g45*(g31 - 1.0)) + xF[2]*(g32 + 1.0)*(g207*g237 + g222*g240 + g60)/(g45*(g32 - 1.0)) + xF[3]*(g33 + 1.0)*(g212*g237 + g223*g240 + g60)/(g45*(g33 - 1.0)) + xF[4]*(g34 + 1.0)*(g205*g237 + g224*g240 + g60)/(g45*(g34 - 1.0)) + xF[5]*(g35 + 1.0)*(g209*g237 + g235*g240 + g60)/(g45*(g35 - 1.0)) + xF[6]*(g36 + 1.0)*(g210*g237 + g229*g240 + g60)/(g45*(g36 - 1.0)) + xF[7]*(g37 + 1.0)*(g206*g237 + g233*g240 + g60)/(g45*(g37 - 1.0)) + xF[8]*(g38 + 1.0)*(g217*g237 + g226*g240 + g60)/(g45*(g38 - 1.0)) + xF[9]*(g39 + 1.0)*(g203*g237 + g227*g240 + g60)/(g45*(g39 - 1.0));
      PpF = g61;
      TpF = -g20/g3;
      SWUpF = g242;
      SWUpP = g242*g62;
      xP[0] = g102*g185*g62;
      xP[1] = g100*g191*g62;
      xP[2] = g103*g189*g62;
      xP[3] = g104*g194*g62;
      xP[4] = g105*g187*g62;
      xP[5] = g106*g201*g62;
      xP[6] = g107*g195*g62;
      xP[7] = g108*g188*g62;
      xP[8] = g109*g197*g62;
      xP[9] = g110*g200*g62;
      xP[10] = g111*g199*g62;
      xP[11] = g112*g190*g62;
      xP[12] = g113*g198*g62;
      xP[13] = g114*g192*g62;
      xP[14] = g115*g196*g62;
      xP[15] = g116*g186*g62;
      xP[16] = g117*g193*g62;
      xT[0] = g185*g65*g98;
      xT[1] = g191*g63*g98;
      xT[2] = g189*g66*g98;
      xT[3] = g194*g67*g98;
      xT[4] = g187*g68*g98;
      xT[5] = g201*g69*g98;
      xT[6] = g195*g70*g98;
      xT[7] = g188*g71*g98;
      xT[8] = g197*g72*g98;
      xT[9] = g200*g73*g98;
      xT[10] = g199*g74*g98;
      xT[11] = g190*g75*g98;
      xT[12] = g198*g76*g98;
      xT[13] = g192*g77*g98;
      xT[14] = g196*g78*g98;
      xT[15] = g186*g79*g98;
      xT[16] = g193*g80*g98;
      break;
    case 18:
      n0 = -2.00000000000000;
      n1 = MW[0] - Mstar;
      n2 = log(alpha);
      n3 = xPj - xTj;
      n4 = xF[0] - xPj;
      n5 = MW[10] - Mstar;
      n6 = MW[11] - Mstar;
      n7 = MW[12] - Mstar;
      n8 = MW[13] - Mstar;
      n9 = MW[14] - Mstar;
      n10 = MW[15] - Mstar;
      n11 = MW[16] - Mstar;
      n12 = MW[17] - Mstar;
      n13 = MW[1] - Mstar;
      n14 = MW[2] - Mstar;
      n15 = MW[3] - Mstar;
      n16 = MW[4] - Mstar;
      n17 = MW[5] - Mstar;
      n18 = MW[6] - Mstar;
      n19 = MW[7] - Mstar;
      n20 = MW[8] - Mstar;
      n21 = MW[9] - Mstar;
      n22 = log(xTj);
      n23 = -n1;
      n24 = -2;
      n25 = xF[0]*xPj;
      n26 = -Mstar;
      n27 = -xTj;
      n28 = -xPj;
      n29 = -NP0*n0;
      n30 = pow(n1, -n0);
      n31 = pow(n2, -n0);
      n32 = pow(n5, -n0);
      n33 = pow(n6, -n0);
      n34 = pow(n7, -n0);
      n35 = pow(n8, -n0);
      n36 = pow(n9, -n0);
      n37 = pow(n10, -n0);
      n38 = pow(n11, -n0);
      n39 = pow(n12, -n0);
      n40 = pow(n13, -n0);
      n41 = pow(n14, -n0);
      n42 = pow(n15, -n0);
      n43 = pow(n16, -n0);
      n44 = pow(n17, -n0);
      n45 = pow(n18, -n0);
      n46 = pow(n19, -n0);
      n47 = pow(n20, -n0);
      n48 = pow(n21, -n0);
      n49 = Mstar*n2;
      n50 = -n0*n2;
      n51 = NP0*n1;
      n52 = -n2;
      n53 = pow(alpha, n51);
      n54 = n25 + n27*xF[0];
      n55 = n25 + n27*xPj;
      n56 = pow(alpha, NP0*n5);
      n57 = pow(alpha, NP0*n6);
      n58 = pow(alpha, NP0*n7);
      n59 = pow(alpha, NP0*n8);
      n60 = pow(alpha, NP0*n9);
      n61 = pow(alpha, NP0*n10);
      n62 = pow(alpha, NP0*n11);
      n63 = pow(alpha, NP0*n12);
      n64 = pow(alpha, NP0*n13);
      n65 = pow(alpha, NP0*n14);
      n66 = pow(alpha, NP0*n15);
      n67 = pow(alpha, NP0*n16);
      n68 = pow(alpha, NP0*n17);
      n69 = pow(alpha, NP0*n18);
      n70 = pow(alpha, NP0*n19);
      n71 = pow(alpha, NP0*n20);
      n72 = pow(alpha, NP0*n21);
      n73 = MW[0]*n52;
      n74 = n3/n4;
      n75 = n17*n2;
      n76 = n2*n7;
      n77 = n13*n2;
      n78 = n2*n21;
      n79 = n2*n8;
      n80 = n14*n2;
      n81 = n10*n2;
      n82 = n19*n2;
      n83 = -n53 + 1;
      n84 = -n56 + 1;
      n85 = pow(alpha, NP0*n0*n23);
      n86 = pow(n55, -n0);
      n87 = -n57 + 1;
      n88 = -n58 + 1;
      n89 = -n59 + 1;
      n90 = -n60 + 1;
      n91 = -n61 + 1;
      n92 = -n62 + 1;
      n93 = -n63 + 1;
      n94 = -n64 + 1;
      n95 = -n65 + 1;
      n96 = -n66 + 1;
      n97 = -n67 + 1;
      n98 = -n68 + 1;
      n99 = -n69 + 1;
      n100 = -n70 + 1;
      n101 = -n71 + 1;
      n102 = -n72 + 1;
      n103 = -n96;
      n104 = -n88;
      n105 = -n99;
      n106 = -n93;
      n107 = -n84;
      n108 = -n83;
      n109 = -n87;
      n110 = -n53;
      n111 = -n58;
      n112 = -n59;
      n113 = -n60;
      n114 = -n62;
      n115 = -n65;
      n116 = -n67;
      n117 = -n68;
      n118 = -n69;
      n119 = n1*n31;
      n120 = 1/(n1*n2);
      n121 = n92*xF[16];
      n122 = n31*n40;
      n123 = n18*n69;
      n124 = n15*n66;
      n125 = n1*n53;
      n126 = n31*n44;
      n127 = n16*n67;
      n128 = n12*n63;
      n129 = n60*n9;
      n130 = n5*n56;
      n131 = n31*n46;
      n132 = n90*xF[14];
      n133 = n95*xF[2];
      n134 = n31*n35;
      n135 = n31*n37;
      n136 = n31*n41;
      n137 = n11*n62;
      n138 = n98*xF[5];
      n139 = n13*n64;
      n140 = n59*n8;
      n141 = n19*n70;
      n142 = n30*n31;
      n143 = n31*n36;
      n144 = n10*n61;
      n145 = n20*n71;
      n146 = n83*xF[0];
      n147 = log((-1.0 + xPj/xF[0])/n3);
      n148 = -n91*xF[15];
      n149 = -n102*xF[9];
      n150 = n21*n72*xF[9];
      n151 = -n89*xF[13];
      n152 = n2*n57*n6;
      n153 = n145*n2;
      n154 = n55/n54;
      n155 = n31*n39*n63;
      n156 = n142*n53;
      n157 = n31*n33*n57;
      n158 = n31*n47*n71;
      n159 = n31*n38*n62;
      n160 = n31*n34*n58;
      n161 = n31*n32*n56;
      n162 = n31*n42*n66;
      n163 = n110*n154 + 1;
      n164 = n147 + n22 + n49 + n73;
      n165 = n154*n53/n163;
      n166 = n120*(n164 - log(n163)) + 1;
      n167 = pow(alpha, n1*n166);
      n168 = pow(alpha, n166*n5);
      n169 = pow(alpha, n166*n6);
      n170 = pow(alpha, n166*n7);
      n171 = pow(alpha, n166*n8);
      n172 = pow(alpha, n166*n9);
      n173 = pow(alpha, n10*n166);
      n174 = pow(alpha, n11*n166);
      n175 = pow(alpha, n12*n166);
      n176 = pow(alpha, n13*n166);
      n177 = pow(alpha, n14*n166);
      n178 = pow(alpha, n15*n166);
      n179 = pow(alpha, n16*n166);
      n180 = pow(alpha, n166*n17);
      n181 = pow(alpha, n166*n18);
      n182 = pow(alpha, n166*n19);
      n183 = pow(alpha, n166*n20);
      n184 = pow(alpha, n166*n21);
      n185 = n16/n179;
      n186 = n19/n182;
      n187 = n8/n171;
      n188 = n12/n175;
      n189 = n15/n178;
      n190 = n18/n181;
      n191 = n9/n172;
      n192 = n20/n183;
      n193 = n6/n169;
      n194 = n13/n176;
      n195 = n14/n177;
      n196 = -1/n167;
      n197 = n10/n173;
      n198 = n7/n170;
      n199 = n21/n184;
      n200 = n5/n168;
      n201 = n11/n174;
      n202 = n17/n180;
      n203 = pow(alpha, n166*n23) + n83 - 1;
      n204 = n84 - 1 + 1.0/n168;
      n205 = n87 - 1 + 1.0/n169;
      n206 = n88 - 1 + 1.0/n170;
      n207 = n89 - 1 + 1.0/n171;
      n208 = n90 - 1 + 1.0/n172;
      n209 = n91 - 1 + 1.0/n173;
      n210 = n92 - 1 + 1.0/n174;
      n211 = n93 - 1 + 1.0/n175;
      n212 = n94 - 1 + 1.0/n176;
      n213 = n95 - 1 + 1.0/n177;
      n214 = n96 - 1 + 1.0/n178;
      n215 = n97 - 1 + 1.0/n179;
      n216 = n98 - 1 + 1.0/n180;
      n217 = n99 - 1 + 1.0/n181;
      n218 = n100 - 1 + 1.0/n182;
      n219 = n101 - 1 + 1.0/n183;
      n220 = n102 - 1 + 1.0/n184;
      n221 = pow(n203, 3);
      n222 = pow(n204, 3);
      n223 = pow(n205, 3);
      n224 = pow(n206, 3);
      n225 = pow(n207, 3);
      n226 = pow(n208, 3);
      n227 = pow(n209, 3);
      n228 = pow(n210, 3);
      n229 = pow(n211, 3);
      n230 = pow(n212, 3);
      n231 = pow(n213, 3);
      n232 = pow(n214, 3);
      n233 = pow(n215, 3);
      n234 = pow(n216, 3);
      n235 = pow(n217, 3);
      n236 = pow(n218, 3);
      n237 = pow(n219, 3);
      n238 = pow(n220, 3);
      n239 = xF[11]/n205;
      n240 = xF[12]/n206;
      n241 = xF[17]/n211;
      n242 = xF[0]/n203;
      n243 = xF[10]/n204;
      n244 = xF[9]/n220;
      n245 = xF[8]/n219;
      n246 = xF[16]/n210;
      n247 = xF[3]/n214;
      n248 = pow(n214, n24)*xF[3];
      n249 = xF[6]/n235;
      n250 = pow(n211, n24)*xF[17];
      n251 = pow(n204, n24)*xF[10];
      n252 = xF[17]/n229;
      n253 = pow(n203, n24)*xF[0];
      n254 = xF[12]/n224;
      n255 = xF[10]/n222;
      n256 = n2*xF[14]/n208;
      n257 = n2*xF[4]/n215;
      n258 = n2*n247;
      n259 = n2*pow(n203, n24);
      n260 = n2*xF[6]/n217;
      n261 = n64*xF[1]/n212;
      n262 = n68*xF[5]/n216;
      n263 = n70*xF[7]/n218;
      n264 = n59*xF[13]/n207;
      n265 = n65*xF[2]/n213;
      n266 = n61*xF[15]/n209;
      n267 = n60*xF[14]/n208;
      n268 = n94/n230;
      n269 = pow(n215, n24)*n97*xF[4];
      n270 = n97*xF[4]/n233;
      n271 = -n138*pow(n216, n24);
      n272 = -n100*xF[7]/n236;
      n273 = -pow(n212, n24)*n94*xF[1];
      n274 = -n100*pow(n218, n24)*xF[7];
      n275 = -n101*pow(n219, n24)*xF[8];
      n276 = n244*n31*n48*n72;
      n277 = n31*n43*n67*xF[4]/n215;
      n278 = n31*n45*n69*xF[6]/n217;
      n279 = n2*n23*n242*n53*n74;
      n280 = n156*n242*n74;
      n281 = n161*n243*n74;
      n282 = n157*n239*n74;
      n283 = n160*n240*n74;
      n284 = n134*n264*n74;
      n285 = n143*n267*n74;
      n286 = n135*n266*n74;
      n287 = n159*n246*n74;
      n288 = n155*n241*n74;
      n289 = n122*n261*n74;
      n290 = n136*n265*n74;
      n291 = n162*n247*n74;
      n292 = n277*n74;
      n293 = n126*n262*n74;
      n294 = n278*n74;
      n295 = n131*n263*n74;
      n296 = n158*n245*n74;
      n297 = n276*n74;
      n298 = 0.5*n280;
      n299 = n154/(n163*n167);
      n300 = n299 + 1;
      n301 = n125*n2*n299 + n125*n2;
      n302 = n130*n2 + n165*n2*n200;
      n303 = n152 + n165*n193*n2;
      n304 = n165*n76/n170 + n58*n76;
      n305 = n165*n79/n171 + n59*n79;
      n306 = n129*n2 + n165*n191*n2;
      n307 = n165*n81/n173 + n61*n81;
      n308 = n137*n2 + n165*n2*n201;
      n309 = n128*n2 + n165*n188*n2;
      n310 = n165*n77/n176 + n64*n77;
      n311 = n165*n80/n177 + n65*n80;
      n312 = n124*n2 + n165*n189*n2;
      n313 = n127*n2 + n165*n185*n2;
      n314 = n165*n75/n180 + n68*n75;
      n315 = n123*n2 + n165*n190*n2;
      n316 = n165*n82/n182 + n70*n82;
      n317 = n153 + n165*n192*n2;
      n318 = n165*n78/n184 + n72*n78;
      n319 = pow(n301, -n0);
      n320 = pow(n302, -n0);
      n321 = pow(n303, -n0);
      n322 = pow(n304, -n0);
      n323 = pow(n305, -n0);
      n324 = pow(n306, -n0);
      n325 = pow(n307, -n0);
      n326 = pow(n308, -n0);
      n327 = pow(n309, -n0);
      n328 = pow(n310, -n0);
      n329 = pow(n311, -n0);
      n330 = pow(n312, -n0);
      n331 = pow(n313, -n0);
      n332 = pow(n314, -n0);
      n333 = pow(n315, -n0);
      n334 = pow(n316, -n0);
      n335 = pow(n317, -n0);
      n336 = pow(n318, -n0);
      n337 = n301*xF[0];
      n338 = n303*xF[11];
      n339 = n310*xF[1];
      n340 = n317*xF[8];
      n341 = n0*n165*n2*n23/n167 + n0*n2*n23*n53;
      n342 = n328*xF[1];
      n343 = n110*n142*n299 + n110*n142;
      n344 = pow(n220, n24)*n318;
      n345 = pow(n207, n24)*n305;
      n346 = pow(n208, n24)*n306;
      n347 = pow(n209, n24)*n307;
      n348 = pow(n206, n24)*n304*xF[12];
      n349 = pow(n217, n24)*n315*xF[6];
      n350 = n324/n226;
      n351 = n329/n231;
      n352 = n332/n234;
      n353 = n326/n228;
      n354 = n341/n221;
      n355 = n101*n335*xF[8]/n237;
      n356 = n321*n87*xF[11]/n223;
      n357 = n146*pow(n203, n24)*n301*n74;
      n358 = n0*n2*n23*n253*n53*n74*(pow(alpha, n166*n23 + n51)*n1*n154*n2/n163 + n125*n2);
      n359 = n130*n251*n50*n74*(pow(alpha, -n166*n5 + n51)*n154*n2*n5/n163 + n130*n2);
      n360 = pow(n205, n24)*n50*n57*n6*n74*xF[11]*(pow(alpha, -n166*n6 + n51)*n154*n2*n6/n163 + n152);
      n361 = pow(n206, n24)*n50*n58*n7*n74*xF[12]*(pow(alpha, -n166*n7 + n51)*n154*n76/n163 + n58*n76);
      n362 = n140*pow(n207, n24)*n50*n74*xF[13]*(pow(alpha, -n166*n8 + n51)*n154*n79/n163 + n59*n79);
      n363 = n129*pow(n208, n24)*n50*n74*xF[14]*(pow(alpha, -n166*n9 + n51)*n154*n2*n9/n163 + n129*n2);
      n364 = n144*pow(n209, n24)*n50*n74*xF[15]*(pow(alpha, -n10*n166 + n51)*n154*n81/n163 + n61*n81);
      n365 = n137*pow(n210, n24)*n50*n74*xF[16]*(pow(alpha, -n11*n166 + n51)*n11*n154*n2/n163 + n137*n2);
      n366 = n128*n250*n50*n74*(pow(alpha, -n12*n166 + n51)*n12*n154*n2/n163 + n128*n2);
      n367 = n139*pow(n212, n24)*n50*n74*xF[1]*(pow(alpha, -n13*n166 + n51)*n154*n77/n163 + n64*n77);
      n368 = n14*pow(n213, n24)*n50*n65*n74*xF[2]*(pow(alpha, -n14*n166 + n51)*n154*n80/n163 + n65*n80);
      n369 = n124*n248*n50*n74*(pow(alpha, -n15*n166 + n51)*n15*n154*n2/n163 + n124*n2);
      n370 = n127*pow(n215, n24)*n50*n74*xF[4]*(pow(alpha, -n16*n166 + n51)*n154*n16*n2/n163 + n127*n2);
      n371 = n17*pow(n216, n24)*n50*n68*n74*xF[5]*(pow(alpha, -n166*n17 + n51)*n154*n75/n163 + n68*n75);
      n372 = n123*pow(n217, n24)*n50*n74*xF[6]*(pow(alpha, -n166*n18 + n51)*n154*n18*n2/n163 + n123*n2);
      n373 = n141*pow(n218, n24)*n50*n74*xF[7]*(pow(alpha, -n166*n19 + n51)*n154*n82/n163 + n70*n82);
      n374 = n145*pow(n219, n24)*n50*n74*xF[8]*(pow(alpha, -n166*n20 + n51)*n154*n2*n20/n163 + n153);
      n375 = n150*pow(n220, n24)*n50*n74*(pow(alpha, -n166*n21 + n51)*n154*n78/n163 + n72*n78);
      n376 = 1.0*n125*n2*n253*n301*n74;
      n377 = n146*pow(n203, n24)*n343*n74;
      n378 = 0.5*n377;
      n379 = pow(alpha, n1*n29)*n119*pow(n163, n24)*n193*pow(n54, n24)*n86 - pow(alpha, n1*n29)*pow(n163, n24)*n31*n33*pow(n54, n24)*n86/n169 + n119*n165*n193 + n157;
      n380 = pow(alpha, n1*n29)*n119*pow(n163, n24)*n198*pow(n54, n24)*n86 - pow(alpha, n1*n29)*pow(n163, n24)*n31*n34*pow(n54, n24)*n86/n170 + n119*n165*n198 + n160;
      n381 = pow(alpha, n1*n29)*n134*pow(n163, n24)*pow(n54, n24)*n86/n171 + pow(alpha, n1*n29)*pow(n163, n24)*n187*n23*n31*pow(n54, n24)*n86 + n112*n134 + n165*n187*n23*n31;
      n382 = pow(alpha, n1*n29)*n143*pow(n163, n24)*pow(n54, n24)*n86/n172 + pow(alpha, n1*n29)*pow(n163, n24)*n191*n23*n31*pow(n54, n24)*n86 + n113*n143 + n165*n191*n23*n31;
      n383 = pow(alpha, n1*n29)*n119*pow(n163, n24)*n197*pow(n54, n24)*n86 - pow(alpha, n1*n29)*n135*pow(n163, n24)*pow(n54, n24)*n86/n173 + n119*n165*n197 + n135*n61;
      n384 = pow(alpha, n1*n29)*pow(n163, n24)*n201*n23*n31*pow(n54, n24)*n86 + pow(alpha, n1*n29)*pow(n163, n24)*n31*n38*pow(n54, n24)*n86/n174 + n114*n31*n38 + n165*n201*n23*n31;
      n385 = pow(alpha, n1*n29)*n136*pow(n163, n24)*pow(n54, n24)*n86/n177 + pow(alpha, n1*n29)*pow(n163, n24)*n195*n23*n31*pow(n54, n24)*n86 + n115*n136 + n165*n195*n23*n31;
      n386 = pow(alpha, n1*n29)*pow(n163, n24)*n190*n23*n31*pow(n54, n24)*n86 + pow(alpha, n1*n29)*pow(n163, n24)*n31*n45*pow(n54, n24)*n86/n181 + n118*n31*n45 + n165*n190*n23*n31;
      n387 = pow(alpha, n1*n29)*n119*pow(n163, n24)*n199*pow(n54, n24)*n86 - pow(alpha, n1*n29)*pow(n163, n24)*n31*n48*pow(n54, n24)*n86/n184 + n119*n165*n199 + n31*n48*n72;
      n388 = pow(n207, n24)*n74*n89*xF[13]*(pow(alpha, n1*n29 - n166*n8)*n134*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n166*n8)*pow(n163, n24)*n23*n31*pow(n54, n24)*n8*n86 + n112*n134 + n165*n187*n23*n31);
      n389 = n132*pow(n208, n24)*n74*(pow(alpha, n1*n29 - n166*n9)*n143*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n166*n9)*pow(n163, n24)*n23*n31*pow(n54, n24)*n86*n9 + n113*n143 + n165*n191*n23*n31);
      n390 = n121*pow(n210, n24)*n74*(pow(alpha, n1*n29 - n11*n166)*n11*pow(n163, n24)*n23*n31*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n11*n166)*pow(n163, n24)*n31*n38*pow(n54, n24)*n86 + n114*n31*n38 + n165*n201*n23*n31);
      n391 = n133*pow(n213, n24)*n74*(pow(alpha, n1*n29 - n14*n166)*n136*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n14*n166)*n14*pow(n163, n24)*n23*n31*pow(n54, n24)*n86 + n115*n136 + n165*n195*n23*n31);
      n392 = n269*n74*(pow(alpha, n1*n29 - n16*n166)*n16*pow(n163, n24)*n23*n31*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n16*n166)*pow(n163, n24)*n31*n43*pow(n54, n24)*n86 + n116*n31*n43 + n165*n185*n23*n31);
      n393 = pow(n217, n24)*n74*n99*xF[6]*(pow(alpha, n1*n29 - n166*n18)*pow(n163, n24)*n18*n23*n31*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n166*n18)*pow(n163, n24)*n31*n45*pow(n54, n24)*n86 + n118*n31*n45 + n165*n190*n23*n31);
      n394 = n107*n251*n74*(pow(alpha, n1*n29 - n166*n5)*n119*pow(n163, n24)*n5*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n166*n5)*pow(n163, n24)*n31*n32*pow(n54, n24)*n86 + n119*n165*n200 + n161);
      n395 = n109*pow(n205, n24)*n74*xF[11]*(pow(alpha, n1*n29 - n166*n6)*n119*pow(n163, n24)*pow(n54, n24)*n6*n86 - pow(alpha, n1*n29 - n166*n6)*pow(n163, n24)*n31*n33*pow(n54, n24)*n86 + n119*n165*n193 + n157);
      n396 = n104*pow(n206, n24)*n74*xF[12]*(pow(alpha, n1*n29 - n166*n7)*n119*pow(n163, n24)*pow(n54, n24)*n7*n86 - pow(alpha, n1*n29 - n166*n7)*pow(n163, n24)*n31*n34*pow(n54, n24)*n86 + n119*n165*n198 + n160);
      n397 = n148*pow(n209, n24)*n74*(pow(alpha, n1*n29 - n10*n166)*n10*n119*pow(n163, n24)*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n10*n166)*n135*pow(n163, n24)*pow(n54, n24)*n86 + n119*n165*n197 + n135*n61);
      n398 = n106*n250*n74*(pow(alpha, n1*n29 - n12*n166)*n119*n12*pow(n163, n24)*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n12*n166)*pow(n163, n24)*n31*n39*pow(n54, n24)*n86 + n119*n165*n188 + n155);
      n399 = n273*n74*(pow(alpha, n1*n29 - n13*n166)*n119*n13*pow(n163, n24)*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n13*n166)*n122*pow(n163, n24)*pow(n54, n24)*n86 + n119*n165*n194 + n122*n64);
      n400 = n103*n248*n74*(pow(alpha, n1*n29 - n15*n166)*n119*n15*pow(n163, n24)*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n15*n166)*pow(n163, n24)*n31*n42*pow(n54, n24)*n86 + n119*n165*n189 + n162);
      n401 = n271*n74*(pow(alpha, n1*n29 - n166*n17)*n119*pow(n163, n24)*n17*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n166*n17)*n126*pow(n163, n24)*pow(n54, n24)*n86 + n119*n165*n202 + n126*n68);
      n402 = n274*n74*(pow(alpha, n1*n29 - n166*n19)*n119*pow(n163, n24)*n19*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n166*n19)*n131*pow(n163, n24)*pow(n54, n24)*n86 + n119*n165*n186 + n131*n70);
      n403 = n275*n74*(pow(alpha, n1*n29 - n166*n20)*n119*pow(n163, n24)*n20*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n166*n20)*pow(n163, n24)*n31*n47*pow(n54, n24)*n86 + n119*n165*n192 + n158);
      n404 = n149*pow(n220, n24)*n74*(pow(alpha, n1*n29 - n166*n21)*n119*pow(n163, n24)*n21*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n166*n21)*pow(n163, n24)*n31*n48*pow(n54, n24)*n86 + n119*n165*n199 + n31*n48*n72);
      n405 = xTj*(n103*n248*n312*n74 + n104*n348*n74 + n105*n349*n74 + n106*n250*n309*n74 + n107*n251*n302*n74 + n108*n253*n301*n74 + n109*pow(n205, n24)*n338*n74 - n121*pow(n210, n24)*n308*n74 + n123*n260*n74 + n124*n258*n74 + n125*n2*n242*n74 + n127*n257*n74 + n128*n2*n241*n74 + n129*n256*n74 + n130*n2*n243*n74 - n132*n346*n74 - n133*pow(n213, n24)*n311*n74 + n137*n2*n246*n74 + n148*n347*n74 + n149*n344*n74 + n151*n345*n74 + n152*n239*n74 + n153*n245*n74 + n240*n58*n74*n76 + n244*n72*n74*n78 + n261*n74*n77 + n262*n74*n75 + n263*n74*n82 + n264*n74*n79 + n265*n74*n80 + n266*n74*n81 - n269*n313*n74 + n271*n314*n74 + n273*n310*n74 + n274*n316*n74 + n275*n317*n74);
      n406 = n279 + n357 + n405;
      n407 = n280 + n281 + n282 + n283 + n284 + n285 + n286 + n287 + n288 + n289 + n290 + n291 + n292 + n293 + n294 + n295 + n296 + n297 + n358 + n359 + n360 + n361 + n362 + n363 + n364 + n365 + n366 + n367 + n368 + n369 + n370 + n371 + n372 + n373 + n374 + n375 + n377 + n388 + n389 + n390 + n391 + n392 + n393 + n394 + n395 + n396 + n397 + n398 + n399 + n400 + n401 + n402 + n403 + n404;
      n408 = -n101*n340*n74*(n145*n50 + n165*n192*n50)/n237 + n103*n312*n74*xF[3]*(n124*n50 + n165*n189*n50)/n232 + n104*n254*n304*n74*(n165*n198*n50 + n50*n58*n7) + n105*n249*n315*n74*(n123*n50 + n165*n190*n50) + n106*n252*n309*n74*(n128*n50 + n165*n188*n50) + n107*n255*n302*n74*(n130*n50 + n165*n200*n50) + n108*n337*n354*n74 + n109*n338*n74*(n165*n193*n50 + n50*n57*n6)/n223 - n121*n308*n74*(n137*n50 + n165*n201*n50)/n228 - n132*n306*n74*(n129*n50 + n165*n191*n50)/n226 - n133*n311*n74*(n14*n50*n65 + n165*n195*n50)/n231 - n138*n314*n74*(n165*n202*n50 + n17*n50*n68)/n234 + n148*n307*n74*(n144*n50 + n165*n197*n50)/n227 + n149*n318*n74*(n165*n199*n50 + n21*n50*n72)/n238 + n151*n305*n74*(n140*n50 + n165*n187*n50)/n225 - n268*n339*n74*(n139*n50 + n165*n194*n50) - n270*n313*n74*(n127*n50 + n165*n185*n50) + n272*n316*n74*(n141*n50 + n165*n186*n50) + n407;
      n409 = n408*xTj;
      NP_b = -n125*n146*n259*n300*n74 - n279 - n29*(1.0*n125*n2*n253*n74*(pow(alpha, -n1*n166 + n51)*n1*n154*n2/n163 + n125*n2) + 0.5*n146*pow(n203, n24)*n74*(-pow(alpha, -n1*n166 + n51)*n142*n154/n163 + n110*n142) - 1.0*n146*n319*n74/n221 + n298 - 0.5*xTj*(n100*n24*n334*n74*xF[7]/n236 + n102*n24*n336*n74*xF[9]/n238 + n103*n248*n74*(pow(alpha, n1*n29 - n15*n166)*n119*n15*pow(n163, n24)*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n15*n166)*pow(n163, n24)*n31*n42*pow(n54, n24)*n86 + pow(alpha, -n15*n166 + n51)*n119*n15*n154/n163 + n162) + n104*pow(n206, n24)*n74*xF[12]*(pow(alpha, n1*n29 - n166*n7)*n119*pow(n163, n24)*pow(n54, n24)*n7*n86 - pow(alpha, n1*n29 - n166*n7)*pow(n163, n24)*n31*n34*pow(n54, n24)*n86 + pow(alpha, -n166*n7 + n51)*n119*n154*n7/n163 + n160) + n106*n250*n74*(pow(alpha, n1*n29 - n12*n166)*n119*n12*pow(n163, n24)*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n12*n166)*pow(n163, n24)*n31*n39*pow(n54, n24)*n86 + pow(alpha, -n12*n166 + n51)*n119*n12*n154/n163 + n155) + n107*n251*n74*(pow(alpha, n1*n29 - n166*n5)*n119*pow(n163, n24)*n5*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n166*n5)*pow(n163, n24)*n31*n32*pow(n54, n24)*n86 + pow(alpha, -n166*n5 + n51)*n119*n154*n5/n163 + n161) + n109*pow(n205, n24)*n74*xF[11]*(pow(alpha, n1*n29 - n166*n6)*n119*pow(n163, n24)*pow(n54, n24)*n6*n86 - pow(alpha, n1*n29 - n166*n6)*pow(n163, n24)*n31*n33*pow(n54, n24)*n86 + pow(alpha, -n166*n6 + n51)*n119*n154*n6/n163 + n157) + n121*pow(n210, n24)*n74*(pow(alpha, n1*n29 - n11*n166)*n11*pow(n163, n24)*n23*n31*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n11*n166)*pow(n163, n24)*n31*n38*pow(n54, n24)*n86 + pow(alpha, -n11*n166 + n51)*n11*n154*n23*n31/n163 + n114*n31*n38) + n121*n24*n353*n74 + n132*pow(n208, n24)*n74*(pow(alpha, n1*n29 - n166*n9)*n143*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n166*n9)*pow(n163, n24)*n23*n31*pow(n54, n24)*n86*n9 + pow(alpha, -n166*n9 + n51)*n154*n23*n31*n9/n163 + n113*n143) + n132*n24*n350*n74 + n133*pow(n213, n24)*n74*(pow(alpha, n1*n29 - n14*n166)*n136*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n14*n166)*n14*pow(n163, n24)*n23*n31*pow(n54, n24)*n86 + pow(alpha, -n14*n166 + n51)*n14*n154*n23*n31/n163 + n115*n136) + n133*n24*n351*n74 + n138*n24*n352*n74 + n146*pow(n203, n24)*n74*(-pow(alpha, -n1*n166 + n51)*n142*n154/n163 + n110*n142) + n146*n24*n319*n74/n221 + n148*pow(n209, n24)*n74*(pow(alpha, n1*n29 - n10*n166)*n10*n119*pow(n163, n24)*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n10*n166)*n135*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, -n10*n166 + n51)*n10*n119*n154/n163 + n135*n61) + n149*pow(n220, n24)*n74*(pow(alpha, n1*n29 - n166*n21)*n119*pow(n163, n24)*n21*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n166*n21)*pow(n163, n24)*n31*n48*pow(n54, n24)*n86 + pow(alpha, -n166*n21 + n51)*n119*n154*n21/n163 + n31*n48*n72) + pow(n207, n24)*n74*n89*xF[13]*(pow(alpha, n1*n29 - n166*n8)*n134*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n166*n8)*pow(n163, n24)*n23*n31*pow(n54, n24)*n8*n86 + pow(alpha, -n166*n8 + n51)*n154*n23*n31*n8/n163 + n112*n134) + pow(n217, n24)*n74*n99*xF[6]*(pow(alpha, n1*n29 - n166*n18)*pow(n163, n24)*n18*n23*n31*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n166*n18)*pow(n163, n24)*n31*n45*pow(n54, n24)*n86 + pow(alpha, -n166*n18 + n51)*n154*n18*n23*n31/n163 + n118*n31*n45) + n24*n249*n333*n74*n99 + n24*n252*n327*n74*n93 + n24*n254*n322*n74*n88 + n24*n255*n320*n74*n84 + n24*n268*n342*n74 + n24*n270*n331*n74 + n24*n355*n74 + n24*n356*n74 + n269*n74*(pow(alpha, n1*n29 - n16*n166)*n16*pow(n163, n24)*n23*n31*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n16*n166)*pow(n163, n24)*n31*n43*pow(n54, n24)*n86 + pow(alpha, -n16*n166 + n51)*n154*n16*n23*n31/n163 + n116*n31*n43) + n271*n74*(pow(alpha, n1*n29 - n166*n17)*n119*pow(n163, n24)*n17*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n166*n17)*n126*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, -n166*n17 + n51)*n119*n154*n17/n163 + n126*n68) + n273*n74*(pow(alpha, n1*n29 - n13*n166)*n119*n13*pow(n163, n24)*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n13*n166)*n122*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, -n13*n166 + n51)*n119*n13*n154/n163 + n122*n64) + n274*n74*(pow(alpha, n1*n29 - n166*n19)*n119*pow(n163, n24)*n19*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n166*n19)*n131*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, -n166*n19 + n51)*n119*n154*n19/n163 + n131*n70) + n275*n74*(pow(alpha, n1*n29 - n166*n20)*n119*pow(n163, n24)*n20*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n166*n20)*pow(n163, n24)*n31*n47*pow(n54, n24)*n86 + pow(alpha, -n166*n20 + n51)*n119*n154*n20/n163 + n158) + n280 + n281 + n282 + n283 + n284 + n285 + n286 + n287 + n288 + n289 + n290 + n291 + n292 + n293 + n294 + n295 + n296 + n297 + n358 + n359 + n360 + n361 + n362 + n363 + n364 + n365 + n366 + n367 + n368 + n369 + n370 + n371 + n372 + n373 + n374 + n375 + n24*n330*n74*n96*xF[3]/n232 + n24*n325*n74*n91*xF[15]/n227 + n24*n323*n74*n89*xF[13]/n225)) - n74*xTj*(n103*n248*n312 + n104*n348 + n105*n349 + n106*n250*n309 + n107*n251*n302 + n108*n253*n301 + n109*pow(n205, n24)*n338 - n121*pow(n210, n24)*n308 + n123*n260 + n124*n258 + n125*n2*n242 + n127*n257 + n128*n2*n241 + n129*n256 + n130*n2*n243 - n132*n346 - n133*pow(n213, n24)*n311 + n137*n2*n246 + n148*n347 + n149*n344 + n151*n345 + n152*n239 + n153*n245 + n240*n58*n76 + n244*n72*n78 + n261*n77 + n262*n75 + n263*n82 + n264*n79 + n265*n80 + n266*n81 - n269*n313 + n271*n314 + n273*n310 + n274*n316 + n275*n317);
      NP_2a = -n74*(pow(alpha, n1*n29)*n0*n108*n142*pow(n300, -n0)*xF[0]/n221 + pow(alpha, n1*n29)*n0*n142*n253*n300 + n108*n156*n253*(-1 + (-n25 + xPj*xTj)/(n163*n167*n54)) - 1.0*n156*n242 + 1.0*xTj*(n0*n2*n23*n253*n53*(pow(alpha, n166*n23 + n51)*n1*n154*n2/n163 + n125*n2) + n100*n24*n334*xF[7]/n236 + n102*n24*n336*xF[9]/n238 + n103*n248*(pow(alpha, n1*n29 - n15*n166)*n119*n15*pow(n163, n24)*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n15*n166)*pow(n163, n24)*n31*n42*pow(n54, n24)*n86 + n119*n165*n189 + n162) + n104*pow(n206, n24)*xF[12]*(pow(alpha, n1*n29 - n166*n7)*n119*pow(n163, n24)*pow(n54, n24)*n7*n86 - pow(alpha, n1*n29 - n166*n7)*pow(n163, n24)*n31*n34*pow(n54, n24)*n86 + n119*n165*n198 + n160) + n106*n250*(pow(alpha, n1*n29 - n12*n166)*n119*n12*pow(n163, n24)*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n12*n166)*pow(n163, n24)*n31*n39*pow(n54, n24)*n86 + n119*n165*n188 + n155) + n107*n251*(pow(alpha, n1*n29 - n166*n5)*n119*pow(n163, n24)*n5*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n166*n5)*pow(n163, n24)*n31*n32*pow(n54, n24)*n86 + n119*n165*n200 + n161) + n109*pow(n205, n24)*xF[11]*(pow(alpha, n1*n29 - n166*n6)*n119*pow(n163, n24)*pow(n54, n24)*n6*n86 - pow(alpha, n1*n29 - n166*n6)*pow(n163, n24)*n31*n33*pow(n54, n24)*n86 + n119*n165*n193 + n157) + n121*pow(n210, n24)*(pow(alpha, n1*n29 - n11*n166)*n11*pow(n163, n24)*n23*n31*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n11*n166)*pow(n163, n24)*n31*n38*pow(n54, n24)*n86 + n114*n31*n38 + n165*n201*n23*n31) + n121*n24*n353 + n122*n261 + n123*pow(n217, n24)*n50*xF[6]*(pow(alpha, -n166*n18 + n51)*n154*n18*n2/n163 + n123*n2) + n124*n248*n50*(pow(alpha, -n15*n166 + n51)*n15*n154*n2/n163 + n124*n2) + n126*n262 + n127*pow(n215, n24)*n50*xF[4]*(pow(alpha, -n16*n166 + n51)*n154*n16*n2/n163 + n127*n2) + n128*n250*n50*(pow(alpha, -n12*n166 + n51)*n12*n154*n2/n163 + n128*n2) + n129*pow(n208, n24)*n50*xF[14]*(pow(alpha, -n166*n9 + n51)*n154*n2*n9/n163 + n129*n2) + n130*n251*n50*(pow(alpha, -n166*n5 + n51)*n154*n2*n5/n163 + n130*n2) + n131*n263 + n132*pow(n208, n24)*(pow(alpha, n1*n29 - n166*n9)*n143*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n166*n9)*pow(n163, n24)*n23*n31*pow(n54, n24)*n86*n9 + n113*n143 + n165*n191*n23*n31) + n132*n24*n350 + n133*pow(n213, n24)*(pow(alpha, n1*n29 - n14*n166)*n136*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n14*n166)*n14*pow(n163, n24)*n23*n31*pow(n54, n24)*n86 + n115*n136 + n165*n195*n23*n31) + n133*n24*n351 + n134*n264 + n135*n266 + n136*n265 + n137*pow(n210, n24)*n50*xF[16]*(pow(alpha, -n11*n166 + n51)*n11*n154*n2/n163 + n137*n2) + n138*n24*n352 + n139*pow(n212, n24)*n50*xF[1]*(pow(alpha, -n13*n166 + n51)*n154*n77/n163 + n64*n77) + n14*pow(n213, n24)*n50*n65*xF[2]*(pow(alpha, -n14*n166 + n51)*n154*n80/n163 + n65*n80) + n140*pow(n207, n24)*n50*xF[13]*(pow(alpha, -n166*n8 + n51)*n154*n79/n163 + n59*n79) + n141*pow(n218, n24)*n50*xF[7]*(pow(alpha, -n166*n19 + n51)*n154*n82/n163 + n70*n82) + n143*n267 + n144*pow(n209, n24)*n50*xF[15]*(pow(alpha, -n10*n166 + n51)*n154*n81/n163 + n61*n81) + n145*pow(n219, n24)*n50*xF[8]*(pow(alpha, -n166*n20 + n51)*n154*n2*n20/n163 + n153) + n146*pow(n203, n24)*n343 + n146*n24*n319/n221 + n148*pow(n209, n24)*(pow(alpha, n1*n29 - n10*n166)*n10*n119*pow(n163, n24)*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n10*n166)*n135*pow(n163, n24)*pow(n54, n24)*n86 + n119*n165*n197 + n135*n61) + n149*pow(n220, n24)*(pow(alpha, n1*n29 - n166*n21)*n119*pow(n163, n24)*n21*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n166*n21)*pow(n163, n24)*n31*n48*pow(n54, n24)*n86 + n119*n165*n199 + n31*n48*n72) + n150*pow(n220, n24)*n50*(pow(alpha, -n166*n21 + n51)*n154*n78/n163 + n72*n78) + n155*n241 + n156*n242 + n157*n239 + n158*n245 + n159*n246 + n160*n240 + n161*n243 + n162*n247 + n17*pow(n216, n24)*n50*n68*xF[5]*(pow(alpha, -n166*n17 + n51)*n154*n75/n163 + n68*n75) + pow(n205, n24)*n50*n57*n6*xF[11]*(pow(alpha, -n166*n6 + n51)*n154*n2*n6/n163 + n152) + pow(n206, n24)*n50*n58*n7*xF[12]*(pow(alpha, -n166*n7 + n51)*n154*n76/n163 + n58*n76) + pow(n207, n24)*n89*xF[13]*(pow(alpha, n1*n29 - n166*n8)*n134*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n166*n8)*pow(n163, n24)*n23*n31*pow(n54, n24)*n8*n86 + n112*n134 + n165*n187*n23*n31) + pow(n217, n24)*n99*xF[6]*(pow(alpha, n1*n29 - n166*n18)*pow(n163, n24)*n18*n23*n31*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n166*n18)*pow(n163, n24)*n31*n45*pow(n54, n24)*n86 + n118*n31*n45 + n165*n190*n23*n31) + n24*n249*n333*n99 + n24*n252*n327*n93 + n24*n254*n322*n88 + n24*n255*n320*n84 + n24*n268*n342 + n24*n270*n331 + n24*n355 + n24*n356 + n269*(pow(alpha, n1*n29 - n16*n166)*n16*pow(n163, n24)*n23*n31*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n16*n166)*pow(n163, n24)*n31*n43*pow(n54, n24)*n86 + n116*n31*n43 + n165*n185*n23*n31) + n271*(pow(alpha, n1*n29 - n166*n17)*n119*pow(n163, n24)*n17*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n166*n17)*n126*pow(n163, n24)*pow(n54, n24)*n86 + n119*n165*n202 + n126*n68) + n273*(pow(alpha, n1*n29 - n13*n166)*n119*n13*pow(n163, n24)*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n13*n166)*n122*pow(n163, n24)*pow(n54, n24)*n86 + n119*n165*n194 + n122*n64) + n274*(pow(alpha, n1*n29 - n166*n19)*n119*pow(n163, n24)*n19*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n166*n19)*n131*pow(n163, n24)*pow(n54, n24)*n86 + n119*n165*n186 + n131*n70) + n275*(pow(alpha, n1*n29 - n166*n20)*n119*pow(n163, n24)*n20*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n166*n20)*pow(n163, n24)*n31*n47*pow(n54, n24)*n86 + n119*n165*n192 + n158) + n276 + n277 + n278 + n24*n330*n96*xF[3]/n232 + n24*n325*n91*xF[15]/n227 + n24*n323*n89*xF[13]/n225));
      NP_sqrt_base = (-NP0*n406 - n108*n74*xF[0]/(-n108 - n196 - 1) - n27*(-n100*n74*xF[7]/(n100 - 1 + pow(alpha, -n19*(n120*(n164 - log(n110*(n25 + n28*xTj)/(n25 - xF[0]*xTj) + 1)) + 1))) - n101*n74*xF[8]/(n101 - 1 + pow(alpha, -n20*(n120*(n164 - log(n110*(n25 + n28*xTj)/(n25 - xF[0]*xTj) + 1)) + 1))) - n102*n74*xF[9]/(n102 - 1 + pow(alpha, -n21*(n120*(n164 - log(n110*(n25 + n28*xTj)/(n25 - xF[0]*xTj) + 1)) + 1))) - n121*n74/(n92 - 1 + pow(alpha, -n11*(n120*(n164 - log(n110*(n25 + n28*xTj)/(n25 - xF[0]*xTj) + 1)) + 1))) - n132*n74/(n90 - 1 + pow(alpha, -n9*(n120*(n164 - log(n110*(n25 + n28*xTj)/(n25 - xF[0]*xTj) + 1)) + 1))) - n133*n74/(n95 - 1 + pow(alpha, -n14*(n120*(n164 - log(n110*(n25 + n28*xTj)/(n25 - xF[0]*xTj) + 1)) + 1))) - n138*n74/(n98 - 1 + pow(alpha, -n17*(n120*(n164 - log(n110*(n25 + n28*xTj)/(n25 - xF[0]*xTj) + 1)) + 1))) - n146*n74/(pow(alpha, n23*(n120*(n164 - log(n110*(n25 + n28*xTj)/(n25 - xF[0]*xTj) + 1)) + 1)) + n83 - 1) - n74*n84*xF[10]/(n84 - 1 + pow(alpha, -n5*(n120*(n164 - log(n110*(n25 + n28*xTj)/(n25 - xF[0]*xTj) + 1)) + 1))) - n74*n87*xF[11]/(n87 - 1 + pow(alpha, -n6*(n120*(n164 - log(n110*(n25 + n28*xTj)/(n25 - xF[0]*xTj) + 1)) + 1))) - n74*n88*xF[12]/(n88 - 1 + pow(alpha, -n7*(n120*(n164 - log(n110*(n25 + n28*xTj)/(n25 - xF[0]*xTj) + 1)) + 1))) - n74*n89*xF[13]/(n89 - 1 + pow(alpha, -n8*(n120*(n164 - log(n110*(n25 + n28*xTj)/(n25 - xF[0]*xTj) + 1)) + 1))) - n74*n91*xF[15]/(n91 - 1 + pow(alpha, -n10*(n120*(n164 - log(n110*(n25 + n28*xTj)/(n25 - xF[0]*xTj) + 1)) + 1))) - n74*n93*xF[17]/(n93 - 1 + pow(alpha, -n12*(n120*(n164 - log(n110*(n25 + n28*xTj)/(n25 - xF[0]*xTj) + 1)) + 1))) - n74*n94*xF[1]/(n94 - 1 + pow(alpha, -n13*(n120*(n164 - log(n110*(n25 + n28*xTj)/(n25 - xF[0]*xTj) + 1)) + 1))) - n74*n96*xF[3]/(n96 - 1 + pow(alpha, -n15*(n120*(n164 - log(n110*(n25 + n28*xTj)/(n25 - xF[0]*xTj) + 1)) + 1))) - n74*n97*xF[4]/(n97 - 1 + pow(alpha, -n16*(n120*(n164 - log(n110*(n25 + n28*xTj)/(n25 - xF[0]*xTj) + 1)) + 1))) - n74*n99*xF[6]/(n99 - 1 + pow(alpha, -n18*(n120*(n164 - log(n110*(n25 + n28*xTj)/(n25 - xF[0]*xTj) + 1)) + 1)))) - pow(NP0, -n0)*(1.0*n125*n2*n253*n301*n74 - 0.5*n146*n301*n354*n74 + 0.5*n280 + 0.5*n377 - 0.5*n409))*(-n0*n27*(-n101*n74*xF[8]*(pow(alpha, -n166*n20 + n51)*n154*n2*n20/n163 + n153)*(pow(alpha, -n166*n20 + n51)*n154*n20*n50/n163 + n145*n50)/n237 + n103*n248*n74*(pow(alpha, n1*n29 - n15*n166)*n119*n15*pow(n163, n24)*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n15*n166)*pow(n163, n24)*n31*n42*pow(n54, n24)*n86 + pow(alpha, -n15*n166 + n51)*n119*n15*n154/n163 + n162) + n103*n74*xF[3]*(pow(alpha, -n15*n166 + n51)*n15*n154*n2/n163 + n124*n2)*(pow(alpha, -n15*n166 + n51)*n15*n154*n50/n163 + n124*n50)/n232 + n104*pow(n206, n24)*n74*xF[12]*(pow(alpha, n1*n29 - n166*n7)*n119*pow(n163, n24)*pow(n54, n24)*n7*n86 - pow(alpha, n1*n29 - n166*n7)*pow(n163, n24)*n31*n34*pow(n54, n24)*n86 + pow(alpha, -n166*n7 + n51)*n119*n154*n7/n163 + n160) + n104*n254*n74*(pow(alpha, -n166*n7 + n51)*n154*n76/n163 + n58*n76)*(pow(alpha, -n166*n7 + n51)*n154*n50*n7/n163 + n50*n58*n7) + n105*n249*n74*(pow(alpha, -n166*n18 + n51)*n154*n18*n2/n163 + n123*n2)*(pow(alpha, -n166*n18 + n51)*n154*n18*n50/n163 + n123*n50) + n106*n250*n74*(pow(alpha, n1*n29 - n12*n166)*n119*n12*pow(n163, n24)*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n12*n166)*pow(n163, n24)*n31*n39*pow(n54, n24)*n86 + pow(alpha, -n12*n166 + n51)*n119*n12*n154/n163 + n155) + n106*n252*n74*(pow(alpha, -n12*n166 + n51)*n12*n154*n2/n163 + n128*n2)*(pow(alpha, -n12*n166 + n51)*n12*n154*n50/n163 + n128*n50) + n107*n251*n74*(pow(alpha, n1*n29 - n166*n5)*n119*pow(n163, n24)*n5*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n166*n5)*pow(n163, n24)*n31*n32*pow(n54, n24)*n86 + pow(alpha, -n166*n5 + n51)*n119*n154*n5/n163 + n161) + n107*n255*n74*(pow(alpha, -n166*n5 + n51)*n154*n2*n5/n163 + n130*n2)*(pow(alpha, -n166*n5 + n51)*n154*n5*n50/n163 + n130*n50) + n108*n74*xF[0]*(pow(alpha, -n1*n166 + n51)*n1*n154*n2/n163 + n125*n2)*(pow(alpha, -n1*n166 + n51)*n0*n154*n2*n23/n163 + n0*n2*n23*n53)/n221 + n109*pow(n205, n24)*n74*xF[11]*(pow(alpha, n1*n29 - n166*n6)*n119*pow(n163, n24)*pow(n54, n24)*n6*n86 - pow(alpha, n1*n29 - n166*n6)*pow(n163, n24)*n31*n33*pow(n54, n24)*n86 + pow(alpha, -n166*n6 + n51)*n119*n154*n6/n163 + n157) + n109*n74*xF[11]*(pow(alpha, -n166*n6 + n51)*n154*n2*n6/n163 + n152)*(pow(alpha, -n166*n6 + n51)*n154*n50*n6/n163 + n50*n57*n6)/n223 + n121*pow(n210, n24)*n74*(pow(alpha, n1*n29 - n11*n166)*n11*pow(n163, n24)*n23*n31*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n11*n166)*pow(n163, n24)*n31*n38*pow(n54, n24)*n86 + pow(alpha, -n11*n166 + n51)*n11*n154*n23*n31/n163 + n114*n31*n38) - n121*n74*(pow(alpha, -n11*n166 + n51)*n11*n154*n2/n163 + n137*n2)*(pow(alpha, -n11*n166 + n51)*n11*n154*n50/n163 + n137*n50)/n228 + n132*pow(n208, n24)*n74*(pow(alpha, n1*n29 - n166*n9)*n143*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n166*n9)*pow(n163, n24)*n23*n31*pow(n54, n24)*n86*n9 + pow(alpha, -n166*n9 + n51)*n154*n23*n31*n9/n163 + n113*n143) - n132*n74*(pow(alpha, -n166*n9 + n51)*n154*n2*n9/n163 + n129*n2)*(pow(alpha, -n166*n9 + n51)*n154*n50*n9/n163 + n129*n50)/n226 + n133*pow(n213, n24)*n74*(pow(alpha, n1*n29 - n14*n166)*n136*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n14*n166)*n14*pow(n163, n24)*n23*n31*pow(n54, n24)*n86 + pow(alpha, -n14*n166 + n51)*n14*n154*n23*n31/n163 + n115*n136) - n133*n74*(pow(alpha, -n14*n166 + n51)*n154*n80/n163 + n65*n80)*(pow(alpha, -n14*n166 + n51)*n14*n154*n50/n163 + n14*n50*n65)/n231 - n138*n74*(pow(alpha, -n166*n17 + n51)*n154*n75/n163 + n68*n75)*(pow(alpha, -n166*n17 + n51)*n154*n17*n50/n163 + n17*n50*n68)/n234 + n146*pow(n203, n24)*n74*(pow(alpha, -n1*n166 + n51)*n142*(-n25 + xPj*xTj)/(n163*n54) + n110*n142) + n148*pow(n209, n24)*n74*(pow(alpha, n1*n29 - n10*n166)*n10*n119*pow(n163, n24)*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n10*n166)*n135*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, -n10*n166 + n51)*n10*n119*n154/n163 + n135*n61) + n148*n74*(pow(alpha, -n10*n166 + n51)*n154*n81/n163 + n61*n81)*(pow(alpha, -n10*n166 + n51)*n10*n154*n50/n163 + n144*n50)/n227 + n149*pow(n220, n24)*n74*(pow(alpha, n1*n29 - n166*n21)*n119*pow(n163, n24)*n21*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n166*n21)*pow(n163, n24)*n31*n48*pow(n54, n24)*n86 + pow(alpha, -n166*n21 + n51)*n119*n154*n21/n163 + n31*n48*n72) + n149*n74*(pow(alpha, -n166*n21 + n51)*n154*n78/n163 + n72*n78)*(pow(alpha, -n166*n21 + n51)*n154*n21*n50/n163 + n21*n50*n72)/n238 + n151*n74*(pow(alpha, -n166*n8 + n51)*n154*n79/n163 + n59*n79)*(pow(alpha, -n166*n8 + n51)*n154*n50*n8/n163 + n140*n50)/n225 + pow(n207, n24)*n74*n89*xF[13]*(pow(alpha, n1*n29 - n166*n8)*n134*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n166*n8)*pow(n163, n24)*n23*n31*pow(n54, n24)*n8*n86 + pow(alpha, -n166*n8 + n51)*n154*n23*n31*n8/n163 + n112*n134) + pow(n217, n24)*n74*n99*xF[6]*(pow(alpha, n1*n29 - n166*n18)*pow(n163, n24)*n18*n23*n31*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n166*n18)*pow(n163, n24)*n31*n45*pow(n54, n24)*n86 + pow(alpha, -n166*n18 + n51)*n154*n18*n23*n31/n163 + n118*n31*n45) - n268*n74*xF[1]*(pow(alpha, -n13*n166 + n51)*n154*n77/n163 + n64*n77)*(pow(alpha, -n13*n166 + n51)*n13*n154*n50/n163 + n139*n50) + n269*n74*(pow(alpha, n1*n29 - n16*n166)*n16*pow(n163, n24)*n23*n31*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n16*n166)*pow(n163, n24)*n31*n43*pow(n54, n24)*n86 + pow(alpha, -n16*n166 + n51)*n154*n16*n23*n31/n163 + n116*n31*n43) - n270*n74*(pow(alpha, -n16*n166 + n51)*n154*n16*n2/n163 + n127*n2)*(pow(alpha, -n16*n166 + n51)*n154*n16*n50/n163 + n127*n50) + n271*n74*(pow(alpha, n1*n29 - n166*n17)*n119*pow(n163, n24)*n17*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n166*n17)*n126*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, -n166*n17 + n51)*n119*n154*n17/n163 + n126*n68) + n272*n74*(pow(alpha, -n166*n19 + n51)*n154*n82/n163 + n70*n82)*(pow(alpha, -n166*n19 + n51)*n154*n19*n50/n163 + n141*n50) + n273*n74*(pow(alpha, n1*n29 - n13*n166)*n119*n13*pow(n163, n24)*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n13*n166)*n122*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, -n13*n166 + n51)*n119*n13*n154/n163 + n122*n64) + n274*n74*(pow(alpha, n1*n29 - n166*n19)*n119*pow(n163, n24)*n19*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n166*n19)*n131*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, -n166*n19 + n51)*n119*n154*n19/n163 + n131*n70) + n275*n74*(pow(alpha, n1*n29 - n166*n20)*n119*pow(n163, n24)*n20*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n166*n20)*pow(n163, n24)*n31*n47*pow(n54, n24)*n86 + pow(alpha, -n166*n20 + n51)*n119*n154*n20/n163 + n158) + n280 + n281 + n282 + n283 + n284 + n285 + n286 + n287 + n288 + n289 + n290 + n291 + n292 + n293 + n294 + n295 + n296 + n297 + n358 + n359 + n360 + n361 + n362 + n363 + n364 + n365 + n366 + n367 + n368 + n369 + n370 + n371 + n372 + n373 + n374 + n375) - n0*n280 - n0*n377 + 4.0*n125*n2*n253*n301*n74 - 4.0*n146*n319*n74/n221) + pow(-n29*(1.0*n125*n2*n253*n74*(pow(alpha, -n1*n166 + n51)*n1*n154*n2/n163 + n125*n2) + 0.5*n146*pow(n203, n24)*n74*(-pow(alpha, -n1*n166 + n51)*n142*n154/n163 + n110*n142) - 0.5*n146*n74*(pow(alpha, -n1*n166 + n51)*n1*n154*n2/n163 + n125*n2)*(pow(alpha, -n1*n166 + n51)*n0*n154*n2*n23/n163 + n0*n2*n23*n53)/n221 + n298 - 0.5*xTj*(-n101*n74*xF[8]*(pow(alpha, -n166*n20 + n51)*n154*n2*n20/n163 + n153)*(pow(alpha, -n166*n20 + n51)*n154*n20*n50/n163 + n145*n50)/n237 + n103*n248*n74*(pow(alpha, n1*n29 - n15*n166)*n119*n15*pow(n163, n24)*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n15*n166)*pow(n163, n24)*n31*n42*pow(n54, n24)*n86 + pow(alpha, -n15*n166 + n51)*n119*n15*n154/n163 + n162) + n103*n74*xF[3]*(pow(alpha, -n15*n166 + n51)*n15*n154*n2/n163 + n124*n2)*(pow(alpha, -n15*n166 + n51)*n15*n154*n50/n163 + n124*n50)/n232 + n104*pow(n206, n24)*n74*xF[12]*(pow(alpha, n1*n29 - n166*n7)*n119*pow(n163, n24)*pow(n54, n24)*n7*n86 - pow(alpha, n1*n29 - n166*n7)*pow(n163, n24)*n31*n34*pow(n54, n24)*n86 + pow(alpha, -n166*n7 + n51)*n119*n154*n7/n163 + n160) + n104*n254*n74*(pow(alpha, -n166*n7 + n51)*n154*n76/n163 + n58*n76)*(pow(alpha, -n166*n7 + n51)*n154*n50*n7/n163 + n50*n58*n7) + n105*n249*n74*(pow(alpha, -n166*n18 + n51)*n154*n18*n2/n163 + n123*n2)*(pow(alpha, -n166*n18 + n51)*n154*n18*n50/n163 + n123*n50) + n106*n250*n74*(pow(alpha, n1*n29 - n12*n166)*n119*n12*pow(n163, n24)*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n12*n166)*pow(n163, n24)*n31*n39*pow(n54, n24)*n86 + pow(alpha, -n12*n166 + n51)*n119*n12*n154/n163 + n155) + n106*n252*n74*(pow(alpha, -n12*n166 + n51)*n12*n154*n2/n163 + n128*n2)*(pow(alpha, -n12*n166 + n51)*n12*n154*n50/n163 + n128*n50) + n107*n251*n74*(pow(alpha, n1*n29 - n166*n5)*n119*pow(n163, n24)*n5*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n166*n5)*pow(n163, n24)*n31*n32*pow(n54, n24)*n86 + pow(alpha, -n166*n5 + n51)*n119*n154*n5/n163 + n161) + n107*n255*n74*(pow(alpha, -n166*n5 + n51)*n154*n2*n5/n163 + n130*n2)*(pow(alpha, -n166*n5 + n51)*n154*n5*n50/n163 + n130*n50) + n108*n74*xF[0]*(pow(alpha, -n1*n166 + n51)*n1*n154*n2/n163 + n125*n2)*(pow(alpha, -n1*n166 + n51)*n0*n154*n2*n23/n163 + n0*n2*n23*n53)/n221 + n109*pow(n205, n24)*n74*xF[11]*(pow(alpha, n1*n29 - n166*n6)*n119*pow(n163, n24)*pow(n54, n24)*n6*n86 - pow(alpha, n1*n29 - n166*n6)*pow(n163, n24)*n31*n33*pow(n54, n24)*n86 + pow(alpha, -n166*n6 + n51)*n119*n154*n6/n163 + n157) + n109*n74*xF[11]*(pow(alpha, -n166*n6 + n51)*n154*n2*n6/n163 + n152)*(pow(alpha, -n166*n6 + n51)*n154*n50*n6/n163 + n50*n57*n6)/n223 + n121*pow(n210, n24)*n74*(pow(alpha, n1*n29 - n11*n166)*n11*pow(n163, n24)*n23*n31*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n11*n166)*pow(n163, n24)*n31*n38*pow(n54, n24)*n86 + pow(alpha, -n11*n166 + n51)*n11*n154*n23*n31/n163 + n114*n31*n38) - n121*n74*(pow(alpha, -n11*n166 + n51)*n11*n154*n2/n163 + n137*n2)*(pow(alpha, -n11*n166 + n51)*n11*n154*n50/n163 + n137*n50)/n228 + n132*pow(n208, n24)*n74*(pow(alpha, n1*n29 - n166*n9)*n143*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n166*n9)*pow(n163, n24)*n23*n31*pow(n54, n24)*n86*n9 + pow(alpha, -n166*n9 + n51)*n154*n23*n31*n9/n163 + n113*n143) - n132*n74*(pow(alpha, -n166*n9 + n51)*n154*n2*n9/n163 + n129*n2)*(pow(alpha, -n166*n9 + n51)*n154*n50*n9/n163 + n129*n50)/n226 + n133*pow(n213, n24)*n74*(pow(alpha, n1*n29 - n14*n166)*n136*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n14*n166)*n14*pow(n163, n24)*n23*n31*pow(n54, n24)*n86 + pow(alpha, -n14*n166 + n51)*n14*n154*n23*n31/n163 + n115*n136) - n133*n74*(pow(alpha, -n14*n166 + n51)*n154*n80/n163 + n65*n80)*(pow(alpha, -n14*n166 + n51)*n14*n154*n50/n163 + n14*n50*n65)/n231 - n138*n74*(pow(alpha, -n166*n17 + n51)*n154*n75/n163 + n68*n75)*(pow(alpha, -n166*n17 + n51)*n154*n17*n50/n163 + n17*n50*n68)/n234 + n146*pow(n203, n24)*n74*(-pow(alpha, -n1*n166 + n51)*n142*n154/n163 + n110*n142) + n148*pow(n209, n24)*n74*(pow(alpha, n1*n29 - n10*n166)*n10*n119*pow(n163, n24)*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n10*n166)*n135*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, -n10*n166 + n51)*n10*n119*n154/n163 + n135*n61) + n148*n74*(pow(alpha, -n10*n166 + n51)*n154*n81/n163 + n61*n81)*(pow(alpha, -n10*n166 + n51)*n10*n154*n50/n163 + n144*n50)/n227 + n149*pow(n220, n24)*n74*(pow(alpha, n1*n29 - n166*n21)*n119*pow(n163, n24)*n21*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n166*n21)*pow(n163, n24)*n31*n48*pow(n54, n24)*n86 + pow(alpha, -n166*n21 + n51)*n119*n154*n21/n163 + n31*n48*n72) + n149*n74*(pow(alpha, -n166*n21 + n51)*n154*n78/n163 + n72*n78)*(pow(alpha, -n166*n21 + n51)*n154*n21*n50/n163 + n21*n50*n72)/n238 + n151*n74*(pow(alpha, -n166*n8 + n51)*n154*n79/n163 + n59*n79)*(pow(alpha, -n166*n8 + n51)*n154*n50*n8/n163 + n140*n50)/n225 + pow(n207, n24)*n74*n89*xF[13]*(pow(alpha, n1*n29 - n166*n8)*n134*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n166*n8)*pow(n163, n24)*n23*n31*pow(n54, n24)*n8*n86 + pow(alpha, -n166*n8 + n51)*n154*n23*n31*n8/n163 + n112*n134) + pow(n217, n24)*n74*n99*xF[6]*(pow(alpha, n1*n29 - n166*n18)*pow(n163, n24)*n18*n23*n31*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n166*n18)*pow(n163, n24)*n31*n45*pow(n54, n24)*n86 + pow(alpha, -n166*n18 + n51)*n154*n18*n23*n31/n163 + n118*n31*n45) - n268*n74*xF[1]*(pow(alpha, -n13*n166 + n51)*n154*n77/n163 + n64*n77)*(pow(alpha, -n13*n166 + n51)*n13*n154*n50/n163 + n139*n50) + n269*n74*(pow(alpha, n1*n29 - n16*n166)*n16*pow(n163, n24)*n23*n31*pow(n54, n24)*n86 + pow(alpha, n1*n29 - n16*n166)*pow(n163, n24)*n31*n43*pow(n54, n24)*n86 + pow(alpha, -n16*n166 + n51)*n154*n16*n23*n31/n163 + n116*n31*n43) - n270*n74*(pow(alpha, -n16*n166 + n51)*n154*n16*n2/n163 + n127*n2)*(pow(alpha, -n16*n166 + n51)*n154*n16*n50/n163 + n127*n50) + n271*n74*(pow(alpha, n1*n29 - n166*n17)*n119*pow(n163, n24)*n17*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n166*n17)*n126*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, -n166*n17 + n51)*n119*n154*n17/n163 + n126*n68) + n272*n74*(pow(alpha, -n166*n19 + n51)*n154*n82/n163 + n70*n82)*(pow(alpha, -n166*n19 + n51)*n154*n19*n50/n163 + n141*n50) + n273*n74*(pow(alpha, n1*n29 - n13*n166)*n119*n13*pow(n163, n24)*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n13*n166)*n122*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, -n13*n166 + n51)*n119*n13*n154/n163 + n122*n64) + n274*n74*(pow(alpha, n1*n29 - n166*n19)*n119*pow(n163, n24)*n19*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n166*n19)*n131*pow(n163, n24)*pow(n54, n24)*n86 + pow(alpha, -n166*n19 + n51)*n119*n154*n19/n163 + n131*n70) + n275*n74*(pow(alpha, n1*n29 - n166*n20)*n119*pow(n163, n24)*n20*pow(n54, n24)*n86 - pow(alpha, n1*n29 - n166*n20)*pow(n163, n24)*n31*n47*pow(n54, n24)*n86 + pow(alpha, -n166*n20 + n51)*n119*n154*n20/n163 + n158) + n280 + n281 + n282 + n283 + n284 + n285 + n286 + n287 + n288 + n289 + n290 + n291 + n292 + n293 + n294 + n295 + n296 + n297 + n358 + n359 + n360 + n361 + n362 + n363 + n364 + n365 + n366 + n367 + n368 + n369 + n370 + n371 + n372 + n373 + n374 + n375)) - n406, -n0);
      NP_sqrt_base = fabs(NP_sqrt_base);
      NP1 = (-NP_b - sqrt(NP_sqrt_base))/NP_2a;
      NT1 = n120*(n164 - log(-pow(alpha, NP1*n1)*n154 + 1));
      g0 = MW[1] - Mstar;
      g1 = MW[0] - Mstar;
      g2 = NT1 + 1;
      g3 = xPj - xTj;
      g4 = MW[10] - Mstar;
      g5 = MW[11] - Mstar;
      g6 = MW[12] - Mstar;
      g7 = MW[13] - Mstar;
      g8 = MW[14] - Mstar;
      g9 = MW[15] - Mstar;
      g10 = MW[16] - Mstar;
      g11 = MW[17] - Mstar;
      g12 = MW[2] - Mstar;
      g13 = MW[3] - Mstar;
      g14 = MW[4] - Mstar;
      g15 = MW[5] - Mstar;
      g16 = MW[6] - Mstar;
      g17 = MW[7] - Mstar;
      g18 = MW[8] - Mstar;
      g19 = MW[9] - Mstar;
      g20 = xF[0] - xTj;
      g21 = xF[0] - xPj;
      g22 = -xTj;
      g23 = 1.0*xF[4];
      g24 = 1.0*xF[16];
      g25 = xPj/xF[1];
      g26 = pow(alpha, -g1);
      g27 = pow(alpha, -g4);
      g28 = pow(alpha, -g5);
      g29 = pow(alpha, -g6);
      g30 = pow(alpha, -g7);
      g31 = pow(alpha, -g8);
      g32 = pow(alpha, -g9);
      g33 = pow(alpha, -g10);
      g34 = pow(alpha, -g11);
      g35 = pow(alpha, -g0);
      g36 = pow(alpha, -g12);
      g37 = pow(alpha, -g13);
      g38 = pow(alpha, -g14);
      g39 = pow(alpha, -g15);
      g40 = pow(alpha, -g16);
      g41 = pow(alpha, -g17);
      g42 = pow(alpha, -g18);
      g43 = pow(alpha, -g19);
      g44 = log(xF[0]/xF[1]);
      g45 = -g2;
      g46 = pow(alpha, NP1*g0);
      g47 = pow(alpha, NP1*g1);
      g48 = pow(alpha, NP1*g4);
      g49 = log(g26);
      g50 = pow(alpha, NP1*g5);
      g51 = pow(alpha, NP1*g6);
      g52 = pow(alpha, NP1*g7);
      g53 = pow(alpha, NP1*g8);
      g54 = pow(alpha, NP1*g9);
      g55 = pow(alpha, NP1*g10);
      g56 = pow(alpha, NP1*g11);
      g57 = pow(alpha, NP1*g12);
      g58 = pow(alpha, NP1*g13);
      g59 = pow(alpha, NP1*g14);
      g60 = pow(alpha, NP1*g15);
      g61 = pow(alpha, NP1*g16);
      g62 = pow(alpha, NP1*g17);
      g63 = pow(alpha, NP1*g18);
      g64 = pow(alpha, NP1*g19);
      g65 = -g44;
      g66 = g20/g3;
      g67 = g3/g20;
      g68 = -g46 + 1;
      g69 = -g46 + 1;
      g70 = -g47 + 1;
      g71 = -g48 + 1;
      g72 = -g50 + 1;
      g73 = -g51 + 1;
      g74 = -g52 + 1;
      g75 = -g53 + 1;
      g76 = -g54 + 1;
      g77 = -g55 + 1;
      g78 = -g56 + 1;
      g79 = -g57 + 1;
      g80 = -g58 + 1;
      g81 = -g59 + 1;
      g82 = -g60 + 1;
      g83 = -g61 + 1;
      g84 = -g62 + 1;
      g85 = -g63 + 1;
      g86 = -g64 + 1;
      g87 = -g47;
      g88 = -g48;
      g89 = -g50;
      g90 = -g51;
      g91 = -g52;
      g92 = -g53;
      g93 = -g54;
      g94 = -g55;
      g95 = -g56;
      g96 = -g57;
      g97 = -g58;
      g98 = -g59;
      g99 = -g60;
      g100 = -g61;
      g101 = -g62;
      g102 = -g63;
      g103 = -g64;
      g104 = -1.0*g44;
      g105 = -g3/g21;
      g106 = g21/(g3*xF[1]);
      g107 = g104*xF[0];
      g108 = g104*xF[10];
      g109 = g104*xF[11];
      g110 = g104*xF[12];
      g111 = g104*xF[13];
      g112 = g104*xF[14];
      g113 = g104*xF[15];
      g114 = g104*xF[16];
      g115 = g104*xF[17];
      g116 = g104*xF[1];
      g117 = g104*xF[2];
      g118 = g104*xF[3];
      g119 = g104*xF[4];
      g120 = g104*xF[5];
      g121 = g104*xF[6];
      g122 = g104*xF[7];
      g123 = g104*xF[8];
      g124 = g104*xF[9];
      g125 = pow(alpha, g0*g45) - 1;
      g126 = pow(alpha, g0*g45) - 1;
      g127 = pow(alpha, g1*g45) - 1;
      g128 = pow(alpha, g4*g45) - 1;
      g129 = pow(alpha, g45*g5) - 1;
      g130 = pow(alpha, g45*g6) - 1;
      g131 = pow(alpha, g45*g7) - 1;
      g132 = pow(alpha, g45*g8) - 1;
      g133 = pow(alpha, g45*g9) - 1;
      g134 = pow(alpha, g10*g45) - 1;
      g135 = pow(alpha, g11*g45) - 1;
      g136 = pow(alpha, g12*g45) - 1;
      g137 = pow(alpha, g13*g45) - 1;
      g138 = pow(alpha, g14*g45) - 1;
      g139 = pow(alpha, g15*g45) - 1;
      g140 = pow(alpha, g16*g45) - 1;
      g141 = pow(alpha, g17*g45) - 1;
      g142 = pow(alpha, g18*g45) - 1;
      g143 = pow(alpha, g19*g45) - 1;
      g144 = -pow(alpha, g1*g45);
      g145 = -pow(alpha, g4*g45);
      g146 = -pow(alpha, g45*g5);
      g147 = -pow(alpha, g45*g6);
      g148 = -pow(alpha, g45*g7);
      g149 = -pow(alpha, g45*g8);
      g150 = -pow(alpha, g45*g9);
      g151 = -pow(alpha, g10*g45);
      g152 = -pow(alpha, g11*g45);
      g153 = -pow(alpha, g12*g45);
      g154 = -pow(alpha, g13*g45);
      g155 = -pow(alpha, g14*g45);
      g156 = -pow(alpha, g15*g45);
      g157 = -pow(alpha, g16*g45);
      g158 = -pow(alpha, g17*g45);
      g159 = -pow(alpha, g18*g45);
      g160 = -pow(alpha, g19*g45);
      g161 = g126 + g69;
      g162 = -g144 - g47;
      g163 = -g145 - g48;
      g164 = -g146 - g50;
      g165 = -g147 - g51;
      g166 = -g148 - g52;
      g167 = -g149 - g53;
      g168 = -g150 - g54;
      g169 = -g151 - g55;
      g170 = -g152 - g56;
      g171 = -g153 - g57;
      g172 = -g154 - g58;
      g173 = -g155 - g59;
      g174 = -g156 - g60;
      g175 = -g157 - g61;
      g176 = -g158 - g62;
      g177 = -g159 - g63;
      g178 = -g160 - g64;
      g179 = pow(alpha, g1*g45) + g87;
      g180 = g126 + g69;
      g181 = pow(alpha, g4*g45) + g88;
      g182 = pow(alpha, g45*g5) + g89;
      g183 = pow(alpha, g45*g6) + g90;
      g184 = pow(alpha, g45*g7) + g91;
      g185 = pow(alpha, g45*g8) + g92;
      g186 = pow(alpha, g45*g9) + g93;
      g187 = pow(alpha, g10*g45) + g94;
      g188 = pow(alpha, g11*g45) + g95;
      g189 = pow(alpha, g12*g45) + g96;
      g190 = pow(alpha, g13*g45) + g97;
      g191 = pow(alpha, g14*g45) + g98;
      g192 = pow(alpha, g15*g45) + g99;
      g193 = pow(alpha, g16*g45) + g100;
      g194 = pow(alpha, g17*g45) + g101;
      g195 = pow(alpha, g18*g45) + g102;
      g196 = pow(alpha, g19*g45) + g103;
      g197 = xF[9]/g196;
      g198 = xF[8]/g195;
      g199 = xF[11]/g182;
      g200 = xF[1]/g180;
      g201 = xF[10]/g181;
      g202 = xF[17]/g188;
      g203 = xF[15]/g186;
      g204 = xF[3]/g190;
      g205 = xF[7]/g194;
      g206 = xF[12]/g183;
      g207 = xF[13]/g184;
      g208 = xF[6]/g193;
      g209 = xF[14]/g185;
      g210 = xF[5]/g192;
      g211 = xF[2]/g189;
      g212 = xF[0]/g179;
      g213 = xF[4]/g173;
      g214 = xF[17]/g170;
      g215 = xF[0]/g162;
      g216 = xF[16]/g169;
      g217 = xF[9]/g178;
      g218 = xF[12]/g165;
      g219 = xF[15]/g168;
      g220 = xF[6]/g175;
      g221 = xF[2]/g171;
      g222 = xF[13]/g166;
      g223 = xF[11]/g164;
      g224 = xF[3]/g172;
      g225 = xF[5]/g174;
      g226 = xF[1]/g161;
      g227 = xF[14]/g167;
      g228 = xF[8]/g177;
      g229 = xF[10]/g163;
      g230 = xF[7]/g176;
      g231 = g24/g169;
      g232 = 1.0*g215;
      g233 = 1.0*g218;
      g234 = 1.0*g219;
      g235 = 1.0*g220;
      g236 = 1.0*g222;
      g237 = 1.0*g221;
      g238 = 1.0*g225;
      g239 = 1.0*g227;
      g240 = 1.0*g223;
      g241 = 1.0*g228;
      g242 = 1.0*g214;
      g243 = 1.0*g229;
      g244 = 1.0*g217;
      g245 = 1.0*g224;
      g246 = 1.0*g226;
      g247 = 1.0*g230;
      g248 = g81/g173;
      g249 = g73/g165;
      g250 = g86/g178;
      g251 = g78/g170;
      g252 = g76/g168;
      g253 = g79/g171;
      g254 = g82/g174;
      g255 = g83/g175;
      g256 = g80/g172;
      g257 = g77/g169;
      g258 = g72/g164;
      g259 = g75/g167;
      g260 = g71/g163;
      g261 = g70/g162;
      g262 = g74/g166;
      g263 = g85/g177;
      g264 = g68/g161;
      g265 = g84/g176;
      g266 = g214*g78;
      g267 = g217*g86;
      g268 = g215*g70;
      g269 = g219*g76;
      g270 = g221*g79;
      g271 = g220*g83;
      g272 = g218*g73;
      g273 = g228*g85;
      g274 = g222*g74;
      g275 = g224*g80;
      g276 = g216*g77;
      g277 = g225*g82;
      g278 = g223*g72;
      g279 = g229*g71;
      g280 = g227*g75;
      g281 = g230*g84;
      g282 = g226*g68;
      g283 = g127/g162;
      g284 = g133/g168;
      g285 = g129/g164;
      g286 = g136/g171;
      g287 = g137/g172;
      g288 = g138/g173;
      g289 = g135/g170;
      g290 = g125/g161;
      g291 = g142/g177;
      g292 = g143/g178;
      g293 = g134/g169;
      g294 = g140/g175;
      g295 = g132/g167;
      g296 = g130/g165;
      g297 = g131/g166;
      g298 = g141/g176;
      g299 = g128/g163;
      g300 = g139/g174;
      g301 = g127*g215;
      g302 = g134*g216;
      g303 = g130*g218;
      g304 = g133*g219;
      g305 = g140*g220;
      g306 = g136*g221;
      g307 = g131*g222;
      g308 = g129*g223;
      g309 = g137*g224;
      g310 = g139*g225;
      g311 = g125*g226;
      g312 = g132*g227;
      g313 = g135*g214;
      g314 = g142*g228;
      g315 = g128*g229;
      g316 = g141*g230;
      g317 = g143*g217;
      g318 = log(g106*g180*g22/g69);
      g319 = log(g106*g161*g22/g68);
      g320 = log(g180*g25*g66/g126);
      g321 = 1.0*g318;
      g322 = log(g161*g25*g66/g125);
      g323 = 1.0*g320;
      g324 = g248*g319;
      g325 = g249*g319;
      g326 = g250*g319;
      g327 = g261*g319;
      g328 = g254*g319;
      g329 = g255*g319;
      g330 = g252*g319;
      g331 = g253*g319;
      g332 = g263*g319;
      g333 = g262*g319;
      g334 = g257*g319;
      g335 = g258*g319;
      g336 = g259*g319;
      g337 = g260*g319;
      g338 = g256*g319;
      g339 = g251*g319;
      g340 = g264*g319;
      g341 = g265*g319;
      g342 = g293*g322;
      g343 = g296*g322;
      g344 = g284*g322;
      g345 = g294*g322;
      g346 = g285*g322;
      g347 = g297*g322;
      g348 = g287*g322;
      g349 = g283*g322;
      g350 = g286*g322;
      g351 = g289*g322;
      g352 = g300*g322;
      g353 = g295*g322;
      g354 = g291*g322;
      g355 = g292*g322;
      g356 = g290*g322;
      g357 = g299*g322;
      g358 = g298*g322;
      g359 = g288*g322;
      g360 = g107 + g108 + g109 + g110 + g111 + g112 + g113 + g114 + g115 + g116 + g117 + g118 + g119 + g120 + g121 + g122 + g123 + g124;
      LpF = xF[0]*(g26 + 1.0)*(g327 + g349 + g65)/(g49*(g26 - 1.0)) + xF[10]*(g27 + 1.0)*(g337 + g357 + g65)/(g49*(g27 - 1.0)) + xF[11]*(g28 + 1.0)*(g335 + g346 + g65)/(g49*(g28 - 1.0)) + xF[12]*(g29 + 1.0)*(g325 + g343 + g65)/(g49*(g29 - 1.0)) + xF[13]*(g30 + 1.0)*(g333 + g347 + g65)/(g49*(g30 - 1.0)) + xF[14]*(g31 + 1.0)*(g336 + g353 + g65)/(g49*(g31 - 1.0)) + xF[15]*(g32 + 1.0)*(g330 + g344 + g65)/(g49*(g32 - 1.0)) + xF[16]*(g33 + 1.0)*(g334 + g342 + g65)/(g49*(g33 - 1.0)) + xF[17]*(g34 + 1.0)*(g339 + g351 + g65)/(g49*(g34 - 1.0)) + xF[1]*(g35 + 1.0)*(g340 + g356 + g65)/(g49*(g35 - 1.0)) + xF[2]*(g36 + 1.0)*(g331 + g350 + g65)/(g49*(g36 - 1.0)) + xF[3]*(g37 + 1.0)*(g338 + g348 + g65)/(g49*(g37 - 1.0)) + xF[4]*(g38 + 1.0)*(g324 + g359 + g65)/(g49*(g38 - 1.0)) + xF[5]*(g39 + 1.0)*(g328 + g352 + g65)/(g49*(g39 - 1.0)) + xF[6]*(g40 + 1.0)*(g329 + g345 + g65)/(g49*(g40 - 1.0)) + xF[7]*(g41 + 1.0)*(g341 + g358 + g65)/(g49*(g41 - 1.0)) + xF[8]*(g42 + 1.0)*(g332 + g354 + g65)/(g49*(g42 - 1.0)) + xF[9]*(g43 + 1.0)*(g326 + g355 + g65)/(g49*(g43 - 1.0));
      PpF = g66;
      TpF = -g21/g3;
      SWUpF = -g126*g200*g323 - g197*g321*(g103 + 1) - g197*g323*(pow(alpha, g19*g45) - 1) - g198*g321*(g102 + 1) - g198*g323*(pow(alpha, g18*g45) - 1) - g199*g321*(g89 + 1) - g199*g323*(pow(alpha, g45*g5) - 1) - g200*g321*g69 - g201*g321*(g88 + 1) - g201*g323*(pow(alpha, g4*g45) - 1) - g202*g321*(g95 + 1) - g202*g323*(pow(alpha, g11*g45) - 1) - g203*g321*(g93 + 1) - g203*g323*(pow(alpha, g45*g9) - 1) - g204*g321*(g97 + 1) - g204*g323*(pow(alpha, g13*g45) - 1) - g205*g321*(g101 + 1) - g205*g323*(pow(alpha, g17*g45) - 1) - g206*g321*(g90 + 1) - g206*g323*(pow(alpha, g45*g6) - 1) - g207*g321*(g91 + 1) - g207*g323*(pow(alpha, g45*g7) - 1) - g208*g321*(g100 + 1) - g208*g323*(pow(alpha, g16*g45) - 1) - g209*g321*(g92 + 1) - g209*g323*(pow(alpha, g45*g8) - 1) - g210*g321*(g99 + 1) - g210*g323*(pow(alpha, g15*g45) - 1) - g211*g321*(g96 + 1) - g211*g323*(pow(alpha, g12*g45) - 1) - g212*g321*(g87 + 1) - g212*g323*(pow(alpha, g1*g45) - 1) - g360 - g23*g318*(g98 + 1)/g191 - g23*g320*(pow(alpha, g14*g45) - 1)/g191 - g24*g318*(g94 + 1)/g187 - g24*g320*(pow(alpha, g10*g45) - 1)/g187;
      SWUpP = -g67*(g125*g246*g322 + g127*g232*g322 + g128*g243*g322 + g129*g240*g322 + g130*g233*g322 + g131*g236*g322 + g132*g239*g322 + g133*g234*g322 + g134*g231*g322 + g135*g242*g322 + g136*g237*g322 + g137*g245*g322 + g139*g238*g322 + g140*g235*g322 + g141*g247*g322 + g142*g241*g322 + g143*g244*g322 + g23*g324 + g23*g359 + g231*g319*g77 + g232*g319*g70 + g233*g319*g73 + g234*g319*g76 + g235*g319*g83 + g236*g319*g74 + g237*g319*g79 + g238*g319*g82 + g239*g319*g75 + g240*g319*g72 + g241*g319*g85 + g242*g319*g78 + g243*g319*g71 + g244*g319*g86 + g245*g319*g80 + g246*g319*g68 + g247*g319*g84 + g360);
      xP[0] = g301*g67;
      xP[1] = g311*g67;
      xP[2] = g306*g67;
      xP[3] = g309*g67;
      xP[4] = g138*g213*g67;
      xP[5] = g310*g67;
      xP[6] = g305*g67;
      xP[7] = g316*g67;
      xP[8] = g314*g67;
      xP[9] = g317*g67;
      xP[10] = g315*g67;
      xP[11] = g308*g67;
      xP[12] = g303*g67;
      xP[13] = g307*g67;
      xP[14] = g312*g67;
      xP[15] = g304*g67;
      xP[16] = g302*g67;
      xP[17] = g313*g67;
      xT[0] = g105*g268;
      xT[1] = g105*g282;
      xT[2] = g105*g270;
      xT[3] = g105*g275;
      xT[4] = g105*g213*g81;
      xT[5] = g105*g277;
      xT[6] = g105*g271;
      xT[7] = g105*g281;
      xT[8] = g105*g273;
      xT[9] = g105*g267;
      xT[10] = g105*g279;
      xT[11] = g105*g278;
      xT[12] = g105*g272;
      xT[13] = g105*g274;
      xT[14] = g105*g280;
      xT[15] = g105*g269;
      xT[16] = g105*g276;
      xT[17] = g105*g266;
      break;
    case 19:
      n0 = MW[0] - Mstar;
      n1 = log(alpha);
      n2 = xPj - xTj;
      n3 = xF[0] - xPj;
      n4 = MW[10] - Mstar;
      n5 = MW[11] - Mstar;
      n6 = MW[12] - Mstar;
      n7 = MW[13] - Mstar;
      n8 = MW[14] - Mstar;
      n9 = MW[15] - Mstar;
      n10 = MW[16] - Mstar;
      n11 = MW[17] - Mstar;
      n12 = MW[18] - Mstar;
      n13 = MW[1] - Mstar;
      n14 = MW[2] - Mstar;
      n15 = MW[3] - Mstar;
      n16 = MW[4] - Mstar;
      n17 = MW[5] - Mstar;
      n18 = MW[6] - Mstar;
      n19 = MW[7] - Mstar;
      n20 = MW[8] - Mstar;
      n21 = MW[9] - Mstar;
      n22 = log(xTj);
      n23 = -2;
      n24 = -n0;
      n25 = xF[0]*xPj;
      n26 = -Mstar;
      n27 = -NP0*n23;
      n28 = -xTj;
      n29 = pow(n0, -n23);
      n30 = pow(n1, -n23);
      n31 = pow(n4, -n23);
      n32 = pow(n5, -n23);
      n33 = pow(n6, -n23);
      n34 = pow(n7, -n23);
      n35 = pow(n8, -n23);
      n36 = pow(n9, -n23);
      n37 = pow(n10, -n23);
      n38 = pow(n11, -n23);
      n39 = pow(n12, -n23);
      n40 = pow(n13, -n23);
      n41 = pow(n14, -n23);
      n42 = pow(n15, -n23);
      n43 = pow(n16, -n23);
      n44 = pow(n17, -n23);
      n45 = pow(n18, -n23);
      n46 = pow(n19, -n23);
      n47 = pow(n20, -n23);
      n48 = pow(n21, -n23);
      n49 = Mstar*n1;
      n50 = -n1*n23;
      n51 = pow(alpha, NP0*n0);
      n52 = n25 + n28*xF[0];
      n53 = n25 + n28*xPj;
      n54 = pow(alpha, NP0*n4);
      n55 = pow(alpha, NP0*n5);
      n56 = pow(alpha, NP0*n6);
      n57 = pow(alpha, NP0*n7);
      n58 = pow(alpha, NP0*n8);
      n59 = pow(alpha, NP0*n9);
      n60 = pow(alpha, NP0*n10);
      n61 = pow(alpha, NP0*n11);
      n62 = pow(alpha, NP0*n12);
      n63 = pow(alpha, NP0*n13);
      n64 = pow(alpha, NP0*n14);
      n65 = pow(alpha, NP0*n15);
      n66 = pow(alpha, NP0*n16);
      n67 = pow(alpha, NP0*n17);
      n68 = pow(alpha, NP0*n18);
      n69 = pow(alpha, NP0*n19);
      n70 = pow(alpha, NP0*n20);
      n71 = pow(alpha, NP0*n21);
      n72 = -MW[0]*n1;
      n73 = n2/n3;
      n74 = n1*n12;
      n75 = n1*n7;
      n76 = n1*n14;
      n77 = n1*n9;
      n78 = -n51 + 1;
      n79 = -n54 + 1;
      n80 = pow(alpha, NP0*n23*n24);
      n81 = pow(n52, -n23);
      n82 = pow(n53, -n23);
      n83 = -n55 + 1;
      n84 = -n56 + 1;
      n85 = -n57 + 1;
      n86 = -n58 + 1;
      n87 = -n59 + 1;
      n88 = -n60 + 1;
      n89 = -n61 + 1;
      n90 = -n62 + 1;
      n91 = -n63 + 1;
      n92 = -n64 + 1;
      n93 = -n65 + 1;
      n94 = -n66 + 1;
      n95 = -n67 + 1;
      n96 = -n68 + 1;
      n97 = -n69 + 1;
      n98 = -n70 + 1;
      n99 = -n71 + 1;
      n100 = -n51;
      n101 = -n55;
      n102 = -n57;
      n103 = -n58;
      n104 = -n60;
      n105 = -n62;
      n106 = -n64;
      n107 = -n66;
      n108 = -n68;
      n109 = -n73;
      n110 = n51*xF[0];
      n111 = 1/(n0*n1);
      n112 = n88*xF[16];
      n113 = n1*n73;
      n114 = n15*n65;
      n115 = n93*xF[3];
      n116 = n87*xF[15];
      n117 = n30*n44;
      n118 = n1*n66;
      n119 = n29*n30;
      n120 = n99*xF[9];
      n121 = n96*xF[6];
      n122 = n58*n8;
      n123 = n97*xF[7];
      n124 = n1*n51;
      n125 = n30*n46;
      n126 = n86*xF[14];
      n127 = n92*xF[2];
      n128 = n30*n34;
      n129 = n11*n61;
      n130 = n21*n71;
      n131 = n79*xF[10];
      n132 = n85*xF[13];
      n133 = n78*xF[0];
      n134 = n30*n36;
      n135 = n30*n41;
      n136 = n20*n70;
      n137 = n30*n40;
      n138 = n10*n60;
      n139 = n13*n63;
      n140 = n30*n39;
      n141 = n4*n54;
      n142 = n56*n6;
      n143 = n84*xF[12];
      n144 = n95*xF[5];
      n145 = n17*n67;
      n146 = n18*n68;
      n147 = n19*n69;
      n148 = n5*n55;
      n149 = n30*n35;
      n150 = n59*n9;
      n151 = log((-1.0 + xPj/xF[0])/n2);
      n152 = -n143;
      n153 = n1*n148;
      n154 = n1*n129;
      n155 = n1*n146;
      n156 = n53/n52;
      n157 = n1*n142*xF[12];
      n158 = n146*n50;
      n159 = n1*n141*xF[10];
      n160 = n30*n38*n61;
      n161 = n30*n32*n55;
      n162 = n30*n47*n70;
      n163 = n30*n37*n60;
      n164 = n30*n42*n65;
      n165 = n30*n33*n56;
      n166 = n30*n43*n66;
      n167 = n30*n31*n54;
      n168 = n30*n45*n68;
      n169 = n100*n156 + 1;
      n170 = pow(n169, -n23);
      n171 = n151 + n22 + n49 + n72;
      n172 = n124*n156/n169;
      n173 = n0*n156*n30*n51/n169;
      n174 = n111*(n171 - log(n169)) + 1;
      n175 = pow(alpha, n0*n174);
      n176 = pow(alpha, n174*n4);
      n177 = pow(alpha, n174*n5);
      n178 = pow(alpha, n174*n6);
      n179 = pow(alpha, n174*n7);
      n180 = pow(alpha, n174*n8);
      n181 = pow(alpha, n174*n9);
      n182 = pow(alpha, n10*n174);
      n183 = pow(alpha, n11*n174);
      n184 = pow(alpha, n12*n174);
      n185 = pow(alpha, n13*n174);
      n186 = pow(alpha, n14*n174);
      n187 = pow(alpha, n15*n174);
      n188 = pow(alpha, n16*n174);
      n189 = pow(alpha, n17*n174);
      n190 = pow(alpha, n174*n18);
      n191 = pow(alpha, n174*n19);
      n192 = pow(alpha, n174*n20);
      n193 = pow(alpha, n174*n21);
      n194 = n6/n178;
      n195 = n12/n184;
      n196 = n19/n191;
      n197 = n21/n193;
      n198 = n11/n183;
      n199 = n15/n187;
      n200 = n18/n190;
      n201 = n8/n180;
      n202 = n20/n192;
      n203 = n5/n177;
      n204 = n13/n185;
      n205 = n14/n186;
      n206 = n16/n188;
      n207 = n9/n181;
      n208 = n17/n189;
      n209 = n4/n176;
      n210 = n10/n182;
      n211 = n7/n179;
      n212 = pow(alpha, n174*n24) + n78 - 1;
      n213 = n79 - 1 + 1.0/n176;
      n214 = n83 - 1 + 1.0/n177;
      n215 = n84 - 1 + 1.0/n178;
      n216 = n85 - 1 + 1.0/n179;
      n217 = n86 - 1 + 1.0/n180;
      n218 = n87 - 1 + 1.0/n181;
      n219 = n88 - 1 + 1.0/n182;
      n220 = n89 - 1 + 1.0/n183;
      n221 = n90 - 1 + 1.0/n184;
      n222 = n91 - 1 + 1.0/n185;
      n223 = n92 - 1 + 1.0/n186;
      n224 = n93 - 1 + 1.0/n187;
      n225 = n94 - 1 + 1.0/n188;
      n226 = n95 - 1 + 1.0/n189;
      n227 = n96 - 1 + 1.0/n190;
      n228 = n97 - 1 + 1.0/n191;
      n229 = n98 - 1 + 1.0/n192;
      n230 = n99 - 1 + 1.0/n193;
      n231 = pow(n212, -n23);
      n232 = pow(n213, -n23);
      n233 = pow(n214, -n23);
      n234 = pow(n215, -n23);
      n235 = pow(n216, -n23);
      n236 = pow(n217, -n23);
      n237 = pow(n218, -n23);
      n238 = pow(n219, -n23);
      n239 = pow(n220, -n23);
      n240 = pow(n221, -n23);
      n241 = pow(n222, -n23);
      n242 = pow(n223, -n23);
      n243 = pow(n224, -n23);
      n244 = pow(n225, -n23);
      n245 = pow(n226, -n23);
      n246 = pow(n227, -n23);
      n247 = pow(n228, -n23);
      n248 = pow(n229, -n23);
      n249 = pow(n230, -n23);
      n250 = pow(n212, 3);
      n251 = pow(n213, 3);
      n252 = pow(n214, 3);
      n253 = pow(n215, 3);
      n254 = pow(n216, 3);
      n255 = pow(n217, 3);
      n256 = pow(n218, 3);
      n257 = pow(n219, 3);
      n258 = pow(n220, 3);
      n259 = pow(n221, 3);
      n260 = pow(n222, 3);
      n261 = pow(n223, 3);
      n262 = pow(n224, 3);
      n263 = pow(n225, 3);
      n264 = pow(n226, 3);
      n265 = pow(n227, 3);
      n266 = pow(n228, 3);
      n267 = pow(n229, 3);
      n268 = pow(n230, 3);
      n269 = xF[11]/n214;
      n270 = xF[17]/n220;
      n271 = xF[14]/n217;
      n272 = xF[4]/n225;
      n273 = xF[8]/n229;
      n274 = xF[3]/n224;
      n275 = xF[16]/n219;
      n276 = xF[9]/n230;
      n277 = xF[12]/n215;
      n278 = xF[10]/n213;
      n279 = xF[6]/n227;
      n280 = xF[3]/n243;
      n281 = xF[17]/n239;
      n282 = -1/n247;
      n283 = n0*n1/n212;
      n284 = n67*xF[5]/n226;
      n285 = n63*xF[1]/n222;
      n286 = n62*xF[18]/n221;
      n287 = n69*xF[7]/n228;
      n288 = n57*xF[13]/n216;
      n289 = n64*xF[2]/n223;
      n290 = n59*xF[15]/n218;
      n291 = n83/n252;
      n292 = n91/n260;
      n293 = n78/n231;
      n294 = n83/n233;
      n295 = n94/n263;
      n296 = n144/n245;
      n297 = n90*xF[18]/n240;
      n298 = n91*xF[1]/n241;
      n299 = n94*xF[4]/n244;
      n300 = n89*xF[17]/n258;
      n301 = n90*xF[18]/n259;
      n302 = n98*xF[8]/n248;
      n303 = n276*n30*n48*n71;
      n304 = n0*n110*n113/n212;
      n305 = n110*n113*n24/n212;
      n306 = n110*n119*n73/n212;
      n307 = n167*n278*n73;
      n308 = n161*n269*n73;
      n309 = n165*n277*n73;
      n310 = n128*n288*n73;
      n311 = n149*n271*n58*n73;
      n312 = n134*n290*n73;
      n313 = n163*n275*n73;
      n314 = n160*n270*n73;
      n315 = n140*n286*n73;
      n316 = n137*n285*n73;
      n317 = n135*n289*n73;
      n318 = n164*n274*n73;
      n319 = n166*n272*n73;
      n320 = n117*n284*n73;
      n321 = n168*n279*n73;
      n322 = n125*n287*n73;
      n323 = n162*n273*n73;
      n324 = n303*n73;
      n325 = 0.5*n306;
      n326 = n156/(n169*n175);
      n327 = n326 + 1;
      n328 = n0*n124 + n0*n172/n175;
      n329 = n1*n141 + n172*n209;
      n330 = n153 + n172*n203;
      n331 = n1*n142 + n172*n194;
      n332 = n156*n51*n75/(n169*n179) + n57*n75;
      n333 = n1*n122 + n172*n201;
      n334 = n156*n51*n77/(n169*n181) + n59*n77;
      n335 = n1*n138 + n172*n210;
      n336 = n154 + n172*n198;
      n337 = n156*n51*n74/(n169*n184) + n62*n74;
      n338 = n1*n139 + n172*n204;
      n339 = n156*n51*n76/(n169*n186) + n64*n76;
      n340 = n1*n114 + n172*n199;
      n341 = n118*n16 + n172*n206;
      n342 = n1*n145 + n172*n208;
      n343 = n155 + n172*n200;
      n344 = n1*n147 + n172*n196;
      n345 = n1*n136 + n172*n202;
      n346 = n1*n130 + n172*n197;
      n347 = pow(n328, -n23);
      n348 = pow(n329, -n23);
      n349 = pow(n330, -n23);
      n350 = pow(n331, -n23);
      n351 = pow(n332, -n23);
      n352 = pow(n333, -n23);
      n353 = pow(n334, -n23);
      n354 = pow(n335, -n23);
      n355 = pow(n336, -n23);
      n356 = pow(n337, -n23);
      n357 = pow(n338, -n23);
      n358 = pow(n339, -n23);
      n359 = pow(n340, -n23);
      n360 = pow(n341, -n23);
      n361 = pow(n342, -n23);
      n362 = pow(n343, -n23);
      n363 = pow(n344, -n23);
      n364 = pow(n345, -n23);
      n365 = pow(n346, -n23);
      n366 = n330*xF[11];
      n367 = n338*xF[1];
      n368 = n341*xF[4];
      n369 = n345*xF[8];
      n370 = n124*n23*n24 + n172*n23*n24/n175;
      n371 = n114*n50 + n156*n199*n50*n51/n169;
      n372 = n129*n50 + n156*n198*n50*n51/n169;
      n373 = n349*xF[11];
      n374 = n357*xF[1];
      n375 = n360*xF[4];
      n376 = n100*n119*n326 + n100*n119;
      n377 = n336*n89;
      n378 = n331/n234;
      n379 = n328/n231;
      n380 = n339/n242;
      n381 = n346/n249;
      n382 = n329/n232;
      n383 = n332/n235;
      n384 = n333/n236;
      n385 = n334/n237;
      n386 = n335/n238;
      n387 = n344/n247;
      n388 = n359/n262;
      n389 = n365/n268;
      n390 = n362/n265;
      n391 = n353/n256;
      n392 = n351/n254;
      n393 = n352/n255;
      n394 = n363/n266;
      n395 = n347/n250;
      n396 = n358/n261;
      n397 = n350/n253;
      n398 = n361/n264;
      n399 = n348/n251;
      n400 = n354/n257;
      n401 = n364*n98*xF[8]/n267;
      n402 = n109*n133*n379;
      n403 = n133*n376/n231;
      n404 = n110*n113*n23*n24*(pow(alpha, NP0*n0 + n174*n24)*n0*n1*n156/n169 + n0*n124)/n231;
      n405 = n141*n50*n73*xF[10]*(pow(alpha, NP0*n0 - n174*n4)*n1*n156*n4/n169 + n1*n141)/n232;
      n406 = n148*n50*n73*xF[11]*(pow(alpha, NP0*n0 - n174*n5)*n1*n156*n5/n169 + n153)/n233;
      n407 = n142*n50*n73*xF[12]*(pow(alpha, NP0*n0 - n174*n6)*n1*n156*n6/n169 + n1*n142)/n234;
      n408 = n50*n57*n7*n73*xF[13]*(pow(alpha, NP0*n0 - n174*n7)*n156*n75/n169 + n57*n75)/n235;
      n409 = n122*n50*n73*xF[14]*(pow(alpha, NP0*n0 - n174*n8)*n1*n156*n8/n169 + n1*n122)/n236;
      n410 = n150*n50*n73*xF[15]*(pow(alpha, NP0*n0 - n174*n9)*n156*n77/n169 + n59*n77)/n237;
      n411 = n138*n50*n73*xF[16]*(pow(alpha, NP0*n0 - n10*n174)*n1*n10*n156/n169 + n1*n138)/n238;
      n412 = n129*n281*n50*n73*(pow(alpha, NP0*n0 - n11*n174)*n1*n11*n156/n169 + n154);
      n413 = n12*n50*n62*n73*xF[18]*(pow(alpha, NP0*n0 - n12*n174)*n156*n74/n169 + n62*n74)/n240;
      n414 = n139*n50*n73*xF[1]*(pow(alpha, NP0*n0 - n13*n174)*n1*n13*n156/n169 + n1*n139)/n241;
      n415 = n14*n50*n64*n73*xF[2]*(pow(alpha, NP0*n0 - n14*n174)*n156*n76/n169 + n64*n76)/n242;
      n416 = n114*n280*n50*n73*(pow(alpha, NP0*n0 - n15*n174)*n1*n15*n156/n169 + n1*n114);
      n417 = n16*n50*n66*n73*xF[4]*(pow(alpha, NP0*n0 - n16*n174)*n1*n156*n16/n169 + n118*n16)/n244;
      n418 = n145*n50*n73*xF[5]*(pow(alpha, NP0*n0 - n17*n174)*n1*n156*n17/n169 + n1*n145)/n245;
      n419 = n158*n73*xF[6]*(pow(alpha, NP0*n0 - n174*n18)*n1*n156*n18/n169 + n155)/n246;
      n420 = n147*n50*n73*xF[7]*(pow(alpha, NP0*n0 - n174*n19)*n1*n156*n19/n169 + n1*n147)/n247;
      n421 = n136*n50*n73*xF[8]*(pow(alpha, NP0*n0 - n174*n20)*n1*n156*n20/n169 + n1*n136)/n248;
      n422 = n130*n50*n73*xF[9]*(pow(alpha, NP0*n0 - n174*n21)*n1*n156*n21/n169 + n1*n130)/n249;
      n423 = 1.0*n0*n110*n113*n379;
      n424 = n403*n73;
      n425 = 0.5*n424;
      n426 = n304 + n402;
      n427 = n328*n370/n250;
      n428 = pow(alpha, n0*n27)*n0*n209*n30*n82/(n170*n81) - pow(alpha, n0*n27)*n30*n31*n82/(n170*n176*n81) + n167 + n173*n209;
      n429 = pow(alpha, n0*n27)*n0*n194*n30*n82/(n170*n81) - pow(alpha, n0*n27)*n30*n33*n82/(n170*n178*n81) + n165 + n173*n194;
      n430 = pow(alpha, n0*n27)*n128*n82/(n170*n179*n81) + pow(alpha, n0*n27)*n211*n24*n30*n82/(n170*n81) + n102*n128 + n156*n211*n24*n30*n51/n169;
      n431 = pow(alpha, n0*n27)*n149*n82/(n170*n180*n81) + pow(alpha, n0*n27)*n201*n24*n30*n82/(n170*n81) + n103*n149 + n156*n201*n24*n30*n51/n169;
      n432 = pow(alpha, n0*n27)*n0*n207*n30*n82/(n170*n81) - pow(alpha, n0*n27)*n134*n82/(n170*n181*n81) + n134*n59 + n173*n207;
      n433 = pow(alpha, n0*n27)*n210*n24*n30*n82/(n170*n81) + pow(alpha, n0*n27)*n30*n37*n82/(n170*n182*n81) + n104*n30*n37 + n156*n210*n24*n30*n51/n169;
      n434 = pow(alpha, n0*n27)*n0*n198*n30*n82/(n170*n81) - pow(alpha, n0*n27)*n30*n38*n82/(n170*n183*n81) + n160 + n173*n198;
      n435 = pow(alpha, n0*n27)*n135*n82/(n170*n186*n81) + pow(alpha, n0*n27)*n205*n24*n30*n82/(n170*n81) + n106*n135 + n156*n205*n24*n30*n51/n169;
      n436 = pow(alpha, n0*n27)*n0*n199*n30*n82/(n170*n81) - pow(alpha, n0*n27)*n30*n42*n82/(n170*n187*n81) + n164 + n173*n199;
      n437 = pow(alpha, n0*n27)*n200*n24*n30*n82/(n170*n81) + pow(alpha, n0*n27)*n30*n45*n82/(n170*n190*n81) + n108*n30*n45 + n156*n200*n24*n30*n51/n169;
      n438 = pow(alpha, n0*n27)*n0*n197*n30*n82/(n170*n81) - pow(alpha, n0*n27)*n30*n48*n82/(n170*n193*n81) + n173*n197 + n30*n48*n71;
      n439 = n132*n73*(pow(alpha, n0*n27 - n174*n7)*n128*n82/(n170*n81) + pow(alpha, n0*n27 - n174*n7)*n24*n30*n7*n82/(n170*n81) + n102*n128 + n156*n211*n24*n30*n51/n169)/n235;
      n440 = n126*n73*(pow(alpha, n0*n27 - n174*n8)*n149*n82/(n170*n81) + pow(alpha, n0*n27 - n174*n8)*n24*n30*n8*n82/(n170*n81) + n103*n149 + n156*n201*n24*n30*n51/n169)/n236;
      n441 = n112*n73*(pow(alpha, n0*n27 - n10*n174)*n10*n24*n30*n82/(n170*n81) + pow(alpha, n0*n27 - n10*n174)*n30*n37*n82/(n170*n81) + n104*n30*n37 + n156*n210*n24*n30*n51/n169)/n238;
      n442 = n297*n73*(pow(alpha, n0*n27 - n12*n174)*n12*n24*n30*n82/(n170*n81) + pow(alpha, n0*n27 - n12*n174)*n140*n82/(n170*n81) + n105*n140 + n156*n195*n24*n30*n51/n169);
      n443 = n127*n73*(pow(alpha, n0*n27 - n14*n174)*n135*n82/(n170*n81) + pow(alpha, n0*n27 - n14*n174)*n14*n24*n30*n82/(n170*n81) + n106*n135 + n156*n205*n24*n30*n51/n169)/n242;
      n444 = n299*n73*(pow(alpha, n0*n27 - n16*n174)*n16*n24*n30*n82/(n170*n81) + pow(alpha, n0*n27 - n16*n174)*n30*n43*n82/(n170*n81) + n107*n30*n43 + n156*n206*n24*n30*n51/n169);
      n445 = n121*n73*(pow(alpha, n0*n27 - n174*n18)*n18*n24*n30*n82/(n170*n81) + pow(alpha, n0*n27 - n174*n18)*n30*n45*n82/(n170*n81) + n108*n30*n45 + n156*n200*n24*n30*n51/n169)/n246;
      n446 = n109*n131*(pow(alpha, n0*n27 - n174*n4)*n0*n30*n4*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n4)*n30*n31*n82/(n170*n81) + n167 + n173*n209)/n232;
      n447 = n109*n294*xF[11]*(pow(alpha, n0*n27 - n174*n5)*n0*n30*n5*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n5)*n30*n32*n82/(n170*n81) + n161 + n173*n203);
      n448 = n109*n143*(pow(alpha, n0*n27 - n174*n6)*n0*n30*n6*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n6)*n30*n33*n82/(n170*n81) + n165 + n173*n194)/n234;
      n449 = n109*n116*(pow(alpha, n0*n27 - n174*n9)*n0*n30*n82*n9/(n170*n81) - pow(alpha, n0*n27 - n174*n9)*n134*n82/(n170*n81) + n134*n59 + n173*n207)/n237;
      n450 = n109*n281*n89*(pow(alpha, n0*n27 - n11*n174)*n0*n11*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n11*n174)*n30*n38*n82/(n170*n81) + n160 + n173*n198);
      n451 = n109*n298*(pow(alpha, n0*n27 - n13*n174)*n0*n13*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n13*n174)*n137*n82/(n170*n81) + n137*n63 + n173*n204);
      n452 = n109*n115*(pow(alpha, n0*n27 - n15*n174)*n0*n15*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n15*n174)*n30*n42*n82/(n170*n81) + n164 + n173*n199)/n243;
      n453 = n109*n296*(pow(alpha, n0*n27 - n17*n174)*n0*n17*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n17*n174)*n117*n82/(n170*n81) + n117*n67 + n173*n208);
      n454 = n109*n123*(pow(alpha, n0*n27 - n174*n19)*n0*n19*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n19)*n125*n82/(n170*n81) + n125*n69 + n173*n196)/n247;
      n455 = n109*n302*(pow(alpha, n0*n27 - n174*n20)*n0*n20*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n20)*n30*n47*n82/(n170*n81) + n162 + n173*n202);
      n456 = n109*n120*(pow(alpha, n0*n27 - n174*n21)*n0*n21*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n21)*n30*n48*n82/(n170*n81) + n173*n197 + n30*n48*n71)/n249;
      n457 = n325 + n423 + n425;
      n458 = n109*n112*n386 + n109*n115*n340/n243 + n109*n116*n385 + n109*n120*n381 + n109*n121*n343/n246 + n109*n123*n387 + n109*n126*n384 + n109*n127*n380 + n109*n131*n382 + n109*n132*n383 + n109*n143*n378 + n109*n281*n377 + n109*n294*n366 + n109*n296*n342 + n109*n297*n337 + n109*n298*n338 + n109*n299*n341 + n109*n302*n345 + n113*n114*n274 + n113*n122*n271 + n113*n129*n270 + n113*n130*n276 + n113*n136*n273 + n113*n138*n275 + n113*n139*xF[1]/n222 + n113*n141*n278 + n113*n142*n277 + n113*n145*xF[5]/n226 + n113*n146*n279 + n113*n147*xF[7]/n228 + n113*n148*n269 + n113*n16*n272*n66 + n286*n73*n74 + n288*n73*n75 + n289*n73*n76 + n290*n73*n77 + n426;
      n459 = n306 + n307 + n308 + n309 + n310 + n311 + n312 + n313 + n314 + n315 + n316 + n317 + n318 + n319 + n320 + n321 + n322 + n323 + n324 + n404 + n405 + n406 + n407 + n408 + n409 + n410 + n411 + n412 + n413 + n414 + n415 + n416 + n417 + n418 + n419 + n420 + n421 + n422 + n424 + n439 + n440 + n441 + n442 + n443 + n444 + n445 + n446 + n447 + n448 + n449 + n450 + n451 + n452 + n453 + n454 + n455 + n456;
      n460 = n109*n112*n335*(n138*n50 + n156*n210*n50*n51/n169)/n257 + n109*n115*n340*n371/n262 + n109*n116*n334*(n150*n50 + n156*n207*n50*n51/n169)/n256 + n109*n120*n346*(n130*n50 + n156*n197*n50*n51/n169)/n268 + n109*n121*n343*(n156*n200*n50*n51/n169 + n158)/n265 + n109*n123*n344*(n147*n50 + n156*n196*n50*n51/n169)/n266 + n109*n126*n333*(n122*n50 + n156*n201*n50*n51/n169)/n255 + n109*n127*n339*(n14*n50*n64 + n156*n205*n50*n51/n169)/n261 + n109*n131*n329*(n141*n50 + n156*n209*n50*n51/n169)/n251 + n109*n132*n332*(n156*n211*n50*n51/n169 + n50*n57*n7)/n254 + n109*n133*n427 + n109*n143*n331*(n142*n50 + n156*n194*n50*n51/n169)/n253 + n109*n144*n342*(n145*n50 + n156*n208*n50*n51/n169)/n264 + n109*n291*n366*(n148*n50 + n156*n203*n50*n51/n169) + n109*n292*n367*(n139*n50 + n156*n204*n50*n51/n169) + n109*n295*n368*(n156*n206*n50*n51/n169 + n16*n50*n66) + n109*n300*n336*n372 + n109*n301*n337*(n12*n50*n62 + n156*n195*n50*n51/n169) + n109*n369*n98*(n136*n50 + n156*n202*n50*n51/n169)/n267 + n459;
      NP_b = -n0*n110*n113*n293*n327 - n27*(1.0*n0*n110*n113*(pow(alpha, NP0*n0 - n0*n174)*n0*n1*n156/n169 + n0*n124)/n231 - 1.0*n133*n395*n73 + 0.5*n133*n73*(pow(alpha, NP0*n0 - n0*n174)*n119*(-n25 + xPj*xTj)/(n169*n52) + n100*n119)/n231 + n325 - 0.5*xTj*(n109*n115*(pow(alpha, NP0*n0 - n15*n174)*n0*n15*n156*n30/n169 + pow(alpha, n0*n27 - n15*n174)*n0*n15*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n15*n174)*n30*n42*n82/(n170*n81) + n164)/n243 + n109*n116*(pow(alpha, NP0*n0 - n174*n9)*n0*n156*n30*n9/n169 + pow(alpha, n0*n27 - n174*n9)*n0*n30*n82*n9/(n170*n81) - pow(alpha, n0*n27 - n174*n9)*n134*n82/(n170*n81) + n134*n59)/n237 + n109*n120*(pow(alpha, NP0*n0 - n174*n21)*n0*n156*n21*n30/n169 + pow(alpha, n0*n27 - n174*n21)*n0*n21*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n21)*n30*n48*n82/(n170*n81) + n30*n48*n71)/n249 + n109*n123*(pow(alpha, NP0*n0 - n174*n19)*n0*n156*n19*n30/n169 + pow(alpha, n0*n27 - n174*n19)*n0*n19*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n19)*n125*n82/(n170*n81) + n125*n69)/n247 + n109*n131*(pow(alpha, NP0*n0 - n174*n4)*n0*n156*n30*n4/n169 + pow(alpha, n0*n27 - n174*n4)*n0*n30*n4*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n4)*n30*n31*n82/(n170*n81) + n167)/n232 + n109*n143*(pow(alpha, NP0*n0 - n174*n6)*n0*n156*n30*n6/n169 + pow(alpha, n0*n27 - n174*n6)*n0*n30*n6*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n6)*n30*n33*n82/(n170*n81) + n165)/n234 + n109*n281*n89*(pow(alpha, NP0*n0 - n11*n174)*n0*n11*n156*n30/n169 + pow(alpha, n0*n27 - n11*n174)*n0*n11*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n11*n174)*n30*n38*n82/(n170*n81) + n160) + n109*n294*xF[11]*(pow(alpha, NP0*n0 - n174*n5)*n0*n156*n30*n5/n169 + pow(alpha, n0*n27 - n174*n5)*n0*n30*n5*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n5)*n30*n32*n82/(n170*n81) + n161) + n109*n296*(pow(alpha, NP0*n0 - n17*n174)*n0*n156*n17*n30/n169 + pow(alpha, n0*n27 - n17*n174)*n0*n17*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n17*n174)*n117*n82/(n170*n81) + n117*n67) + n109*n298*(pow(alpha, NP0*n0 - n13*n174)*n0*n13*n156*n30/n169 + pow(alpha, n0*n27 - n13*n174)*n0*n13*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n13*n174)*n137*n82/(n170*n81) + n137*n63) + n109*n302*(pow(alpha, NP0*n0 - n174*n20)*n0*n156*n20*n30/n169 + pow(alpha, n0*n27 - n174*n20)*n0*n20*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n20)*n30*n47*n82/(n170*n81) + n162) + n112*n23*n400*n73 + n112*n73*(pow(alpha, NP0*n0 - n10*n174)*n10*n156*n24*n30/n169 + pow(alpha, n0*n27 - n10*n174)*n10*n24*n30*n82/(n170*n81) + pow(alpha, n0*n27 - n10*n174)*n30*n37*n82/(n170*n81) + n104*n30*n37)/n238 + n115*n23*n388*n73 + n116*n23*n391*n73 + n120*n23*n389*n73 + n121*n23*n390*n73 + n121*n73*(pow(alpha, NP0*n0 - n174*n18)*n156*n18*n24*n30/n169 + pow(alpha, n0*n27 - n174*n18)*n18*n24*n30*n82/(n170*n81) + pow(alpha, n0*n27 - n174*n18)*n30*n45*n82/(n170*n81) + n108*n30*n45)/n246 + n123*n23*n394*n73 + n126*n23*n393*n73 + n126*n73*(pow(alpha, NP0*n0 - n174*n8)*n156*n24*n30*n8/n169 + pow(alpha, n0*n27 - n174*n8)*n149*n82/(n170*n81) + pow(alpha, n0*n27 - n174*n8)*n24*n30*n8*n82/(n170*n81) + n103*n149)/n236 + n127*n23*n396*n73 + n127*n73*(pow(alpha, NP0*n0 - n14*n174)*n14*n156*n24*n30/n169 + pow(alpha, n0*n27 - n14*n174)*n135*n82/(n170*n81) + pow(alpha, n0*n27 - n14*n174)*n14*n24*n30*n82/(n170*n81) + n106*n135)/n242 + n131*n23*n399*n73 + n132*n23*n392*n73 + n132*n73*(pow(alpha, NP0*n0 - n174*n7)*n156*n24*n30*n7/n169 + pow(alpha, n0*n27 - n174*n7)*n128*n82/(n170*n81) + pow(alpha, n0*n27 - n174*n7)*n24*n30*n7*n82/(n170*n81) + n102*n128)/n235 + n133*n23*n395*n73 + n133*n73*(pow(alpha, NP0*n0 - n0*n174)*n119*(-n25 + xPj*xTj)/(n169*n52) + n100*n119)/n231 + n143*n23*n397*n73 + n144*n23*n398*n73 + n23*n291*n373*n73 + n23*n292*n374*n73 + n23*n295*n375*n73 + n23*n300*n355*n73 + n23*n301*n356*n73 + n23*n401*n73 + n297*n73*(pow(alpha, NP0*n0 - n12*n174)*n12*n156*n24*n30/n169 + pow(alpha, n0*n27 - n12*n174)*n12*n24*n30*n82/(n170*n81) + pow(alpha, n0*n27 - n12*n174)*n140*n82/(n170*n81) + n105*n140) + n299*n73*(pow(alpha, NP0*n0 - n16*n174)*n156*n16*n24*n30/n169 + pow(alpha, n0*n27 - n16*n174)*n16*n24*n30*n82/(n170*n81) + pow(alpha, n0*n27 - n16*n174)*n30*n43*n82/(n170*n81) + n107*n30*n43) + n306 + n307 + n308 + n309 + n310 + n311 + n312 + n313 + n314 + n315 + n316 + n317 + n318 + n319 + n320 + n321 + n322 + n323 + n324 + n404 + n405 + n406 + n407 + n408 + n409 + n410 + n411 + n412 + n413 + n414 + n415 + n416 + n417 + n418 + n419 + n420 + n421 + n422)) - n305 - n73*xTj*(n1*n114*n274 + n1*n122*n271 + n1*n130*n276 + n1*n136*n273 + n1*n138*n275 + n1*n139*xF[1]/n222 + n1*n145*xF[5]/n226 + n1*n147*xF[7]/n228 + n110*n283 - n112*n386 - n115*n340/n243 - n116*n385 + n118*n16*n272 - n120*n381 - n121*n343/n246 + n123*n282*n344 - n126*n384 - n127*n380 - n131*n382 - n132*n383 - n133*n379 + n152*n378 + n153*n269 + n154*n270 + n155*n279 + n157/n215 + n159/n213 - n281*n377 + n286*n74 + n288*n75 + n289*n76 + n290*n77 - n294*n366 - n296*n342 - n297*n337 - n298*n338 - n299*n341 - n302*n345);
      NP_2a = -n73*(-pow(alpha, n0*n27)*n119*n133*n23*pow(n327, -n23)/n250 - 2.0*pow(alpha, n0*n27)*n119*n327*xF[0]/n231 + n100*n119*n133*(-1 + (-n25 + xPj*xTj)/(n169*n175*n52))/n231 - 1.0*n110*n119/n212 + 1.0*xTj*(n1*n110*n23*n24*(pow(alpha, NP0*n0 + n174*n24)*n0*n1*n156/n169 + n0*n124)/n231 + n110*n119/n212 + n112*n23*n400 + n112*(pow(alpha, n0*n27 - n10*n174)*n10*n24*n30*n82/(n170*n81) + pow(alpha, n0*n27 - n10*n174)*n30*n37*n82/(n170*n81) + n104*n30*n37 + n156*n210*n24*n30*n51/n169)/n238 + n114*n280*n50*(pow(alpha, NP0*n0 - n15*n174)*n1*n15*n156/n169 + n1*n114) + n115*n23*n388 - n115*(pow(alpha, n0*n27 - n15*n174)*n0*n15*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n15*n174)*n30*n42*n82/(n170*n81) + n164 + n173*n199)/n243 + n116*n23*n391 - n116*(pow(alpha, n0*n27 - n174*n9)*n0*n30*n82*n9/(n170*n81) - pow(alpha, n0*n27 - n174*n9)*n134*n82/(n170*n81) + n134*n59 + n173*n207)/n237 + n117*n284 + n12*n50*n62*xF[18]*(pow(alpha, NP0*n0 - n12*n174)*n156*n74/n169 + n62*n74)/n240 + n120*n23*n389 - n120*(pow(alpha, n0*n27 - n174*n21)*n0*n21*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n21)*n30*n48*n82/(n170*n81) + n173*n197 + n30*n48*n71)/n249 + n121*n23*n390 + n121*(pow(alpha, n0*n27 - n174*n18)*n18*n24*n30*n82/(n170*n81) + pow(alpha, n0*n27 - n174*n18)*n30*n45*n82/(n170*n81) + n108*n30*n45 + n156*n200*n24*n30*n51/n169)/n246 + n122*n50*xF[14]*(pow(alpha, NP0*n0 - n174*n8)*n1*n156*n8/n169 + n1*n122)/n236 + n123*n23*n394 + n123*n282*(pow(alpha, n0*n27 - n174*n19)*n0*n19*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n19)*n125*n82/(n170*n81) + n125*n69 + n173*n196) + n125*n287 + n126*n23*n393 + n126*(pow(alpha, n0*n27 - n174*n8)*n149*n82/(n170*n81) + pow(alpha, n0*n27 - n174*n8)*n24*n30*n8*n82/(n170*n81) + n103*n149 + n156*n201*n24*n30*n51/n169)/n236 + n127*n23*n396 + n127*(pow(alpha, n0*n27 - n14*n174)*n135*n82/(n170*n81) + pow(alpha, n0*n27 - n14*n174)*n14*n24*n30*n82/(n170*n81) + n106*n135 + n156*n205*n24*n30*n51/n169)/n242 + n128*n288 + n129*n281*n50*(pow(alpha, NP0*n0 - n11*n174)*n1*n11*n156/n169 + n154) + n130*n50*xF[9]*(pow(alpha, NP0*n0 - n174*n21)*n1*n156*n21/n169 + n1*n130)/n249 + n131*n23*n399 - n131*(pow(alpha, n0*n27 - n174*n4)*n0*n30*n4*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n4)*n30*n31*n82/(n170*n81) + n167 + n173*n209)/n232 + n132*n23*n392 + n132*(pow(alpha, n0*n27 - n174*n7)*n128*n82/(n170*n81) + pow(alpha, n0*n27 - n174*n7)*n24*n30*n7*n82/(n170*n81) + n102*n128 + n156*n211*n24*n30*n51/n169)/n235 + n133*n23*n395 + n134*n290 + n135*n289 + n136*n50*xF[8]*(pow(alpha, NP0*n0 - n174*n20)*n1*n156*n20/n169 + n1*n136)/n248 + n137*n285 + n138*n50*xF[16]*(pow(alpha, NP0*n0 - n10*n174)*n1*n10*n156/n169 + n1*n138)/n238 + n139*n50*xF[1]*(pow(alpha, NP0*n0 - n13*n174)*n1*n13*n156/n169 + n1*n139)/n241 + n14*n50*n64*xF[2]*(pow(alpha, NP0*n0 - n14*n174)*n156*n76/n169 + n64*n76)/n242 + n140*n286 + n141*n50*xF[10]*(pow(alpha, NP0*n0 - n174*n4)*n1*n156*n4/n169 + n1*n141)/n232 + n142*n50*xF[12]*(pow(alpha, NP0*n0 - n174*n6)*n1*n156*n6/n169 + n1*n142)/n234 + n143*n23*n397 + n144*n23*n398 + n145*n50*xF[5]*(pow(alpha, NP0*n0 - n17*n174)*n1*n156*n17/n169 + n1*n145)/n245 + n147*n50*xF[7]*(pow(alpha, NP0*n0 - n174*n19)*n1*n156*n19/n169 + n1*n147)/n247 + n148*n50*xF[11]*(pow(alpha, NP0*n0 - n174*n5)*n1*n156*n5/n169 + n153)/n233 + n149*n271*n58 + n150*n50*xF[15]*(pow(alpha, NP0*n0 - n174*n9)*n156*n77/n169 + n59*n77)/n237 + n152*(pow(alpha, n0*n27 - n174*n6)*n0*n30*n6*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n6)*n30*n33*n82/(n170*n81) + n165 + n173*n194)/n234 + n158*xF[6]*(pow(alpha, NP0*n0 - n174*n18)*n1*n156*n18/n169 + n155)/n246 + n16*n50*n66*xF[4]*(pow(alpha, NP0*n0 - n16*n174)*n1*n156*n16/n169 + n118*n16)/n244 + n160*n270 + n161*n269 + n162*n273 + n163*n275 + n164*n274 + n165*n277 + n166*n272 + n167*n278 + n168*n279 + n23*n291*n373 + n23*n292*n374 + n23*n295*n375 + n23*n300*n355 + n23*n301*n356 + n23*n401 - n281*n89*(pow(alpha, n0*n27 - n11*n174)*n0*n11*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n11*n174)*n30*n38*n82/(n170*n81) + n160 + n173*n198) + n294*xF[11]*(pow(alpha, n0*n27 - n174*n5)*n24*n30*n5*n82/(n170*n81) + pow(alpha, n0*n27 - n174*n5)*n30*n32*n82/(n170*n81) + n101*n30*n32 + n156*n203*n24*n30*n51/n169) - n296*(pow(alpha, n0*n27 - n17*n174)*n0*n17*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n17*n174)*n117*n82/(n170*n81) + n117*n67 + n173*n208) + n297*(pow(alpha, n0*n27 - n12*n174)*n12*n24*n30*n82/(n170*n81) + pow(alpha, n0*n27 - n12*n174)*n140*n82/(n170*n81) + n105*n140 + n156*n195*n24*n30*n51/n169) - n298*(pow(alpha, n0*n27 - n13*n174)*n0*n13*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n13*n174)*n137*n82/(n170*n81) + n137*n63 + n173*n204) + n299*(pow(alpha, n0*n27 - n16*n174)*n16*n24*n30*n82/(n170*n81) + pow(alpha, n0*n27 - n16*n174)*n30*n43*n82/(n170*n81) + n107*n30*n43 + n156*n206*n24*n30*n51/n169) - n302*(pow(alpha, n0*n27 - n174*n20)*n0*n20*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n20)*n30*n47*n82/(n170*n81) + n162 + n173*n202) + n303 + n403 + n50*n57*n7*xF[13]*(pow(alpha, NP0*n0 - n174*n7)*n156*n75/n169 + n57*n75)/n235));
      NP_sqrt_base = (NP0*(n28*(n109*n112*(pow(alpha, NP0*n0 - n10*n174)*n1*n10*n156/n169 + n1*n138)/n238 + n109*n115*(pow(alpha, NP0*n0 - n15*n174)*n1*n15*n156/n169 + n1*n114)/n243 + n109*n116*(pow(alpha, NP0*n0 - n174*n9)*n156*n77/n169 + n59*n77)/n237 + n109*n120*(pow(alpha, NP0*n0 - n174*n21)*n1*n156*n21/n169 + n1*n130)/n249 + n109*n121*(pow(alpha, NP0*n0 - n174*n18)*n1*n156*n18/n169 + n155)/n246 + n109*n123*(pow(alpha, NP0*n0 - n174*n19)*n1*n156*n19/n169 + n1*n147)/n247 + n109*n126*(pow(alpha, NP0*n0 - n174*n8)*n1*n156*n8/n169 + n1*n122)/n236 + n109*n127*(pow(alpha, NP0*n0 - n14*n174)*n156*n76/n169 + n64*n76)/n242 + n109*n131*(pow(alpha, NP0*n0 - n174*n4)*n1*n156*n4/n169 + n1*n141)/n232 + n109*n132*(pow(alpha, NP0*n0 - n174*n7)*n156*n75/n169 + n57*n75)/n235 + n109*n133*(pow(alpha, NP0*n0 - n0*n174)*n0*n1*n156/n169 + n0*n124)/n231 + n109*n143*(pow(alpha, NP0*n0 - n174*n6)*n1*n156*n6/n169 + n1*n142)/n234 + n109*n281*n89*(pow(alpha, NP0*n0 - n11*n174)*n1*n11*n156/n169 + n154) + n109*n294*xF[11]*(pow(alpha, NP0*n0 - n174*n5)*n1*n156*n5/n169 + n153) + n109*n296*(pow(alpha, NP0*n0 - n17*n174)*n1*n156*n17/n169 + n1*n145) + n109*n297*(pow(alpha, NP0*n0 - n12*n174)*n156*n74/n169 + n62*n74) + n109*n298*(pow(alpha, NP0*n0 - n13*n174)*n1*n13*n156/n169 + n1*n139) + n109*n299*(pow(alpha, NP0*n0 - n16*n174)*n1*n156*n16/n169 + n118*n16) + n109*n302*(pow(alpha, NP0*n0 - n174*n20)*n1*n156*n20/n169 + n1*n136) + n113*n114*n274 + n113*n122*n271 + n113*n129*n270 + n113*n130*n276 + n113*n136*n273 + n113*n138*n275 + n113*n139*xF[1]/n222 + n113*n141*n278 + n113*n142*n277 + n113*n145*xF[5]/n226 + n113*n146*n279 + n113*n147*xF[7]/n228 + n113*n148*n269 + n113*n16*n272*n66 + n286*n73*n74 + n288*n73*n75 + n289*n73*n76 + n290*n73*n77 + n304) + n426) + n133*n73/n212 + xTj*(n109*n112/n219 + n109*n115/n224 + n109*n116/n218 + n109*n120/n230 + n109*n121/n227 + n109*n123/n228 + n109*n126/n217 + n109*n127/n223 + n109*n131/n213 + n109*n132/n216 + n109*n133/n212 + n109*n143/n215 + n109*n144/n226 + n109*n269*n83 + n109*n270*n89 + n109*n272*n94 + n109*n273*n98 + n109*n91*xF[1]/n222 + n109*n90*xF[18]/n221) + pow(NP0, -n23)*(-1.0*n0*n110*n113*n379 + 0.5*n133*n427*n73 - 0.5*n306 - 0.5*n424 + 0.5*n460*xTj))*(4.0*n0*n110*n113*n379 - 4.0*n133*n395*n73 - n23*n28*(n109*n112*(pow(alpha, NP0*n0 - n10*n174)*n1*n10*n156/n169 + n1*n138)*(pow(alpha, NP0*n0 - n10*n174)*n10*n156*n50/n169 + n138*n50)/n257 + n109*n115*(pow(alpha, NP0*n0 - n15*n174)*n1*n15*n156/n169 + n1*n114)*(pow(alpha, NP0*n0 - n15*n174)*n15*n156*n50/n169 + n114*n50)/n262 + n109*n115*(pow(alpha, NP0*n0 - n15*n174)*n0*n15*n156*n30/n169 + pow(alpha, n0*n27 - n15*n174)*n0*n15*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n15*n174)*n30*n42*n82/(n170*n81) + n164)/n243 + n109*n116*(pow(alpha, NP0*n0 - n174*n9)*n156*n77/n169 + n59*n77)*(pow(alpha, NP0*n0 - n174*n9)*n156*n50*n9/n169 + n150*n50)/n256 + n109*n116*(pow(alpha, NP0*n0 - n174*n9)*n0*n156*n30*n9/n169 + pow(alpha, n0*n27 - n174*n9)*n0*n30*n82*n9/(n170*n81) - pow(alpha, n0*n27 - n174*n9)*n134*n82/(n170*n81) + n134*n59)/n237 + n109*n120*(pow(alpha, NP0*n0 - n174*n21)*n1*n156*n21/n169 + n1*n130)*(pow(alpha, NP0*n0 - n174*n21)*n156*n21*n50/n169 + n130*n50)/n268 + n109*n120*(pow(alpha, NP0*n0 - n174*n21)*n0*n156*n21*n30/n169 + pow(alpha, n0*n27 - n174*n21)*n0*n21*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n21)*n30*n48*n82/(n170*n81) + n30*n48*n71)/n249 + n109*n121*(pow(alpha, NP0*n0 - n174*n18)*n1*n156*n18/n169 + n155)*(pow(alpha, NP0*n0 - n174*n18)*n156*n18*n50/n169 + n158)/n265 + n109*n123*(pow(alpha, NP0*n0 - n174*n19)*n1*n156*n19/n169 + n1*n147)*(pow(alpha, NP0*n0 - n174*n19)*n156*n19*n50/n169 + n147*n50)/n266 + n109*n123*(pow(alpha, NP0*n0 - n174*n19)*n0*n156*n19*n30/n169 + pow(alpha, n0*n27 - n174*n19)*n0*n19*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n19)*n125*n82/(n170*n81) + n125*n69)/n247 + n109*n126*(pow(alpha, NP0*n0 - n174*n8)*n1*n156*n8/n169 + n1*n122)*(pow(alpha, NP0*n0 - n174*n8)*n156*n50*n8/n169 + n122*n50)/n255 + n109*n127*(pow(alpha, NP0*n0 - n14*n174)*n156*n76/n169 + n64*n76)*(pow(alpha, NP0*n0 - n14*n174)*n14*n156*n50/n169 + n14*n50*n64)/n261 + n109*n131*(pow(alpha, NP0*n0 - n174*n4)*n1*n156*n4/n169 + n1*n141)*(pow(alpha, NP0*n0 - n174*n4)*n156*n4*n50/n169 + n141*n50)/n251 + n109*n131*(pow(alpha, NP0*n0 - n174*n4)*n0*n156*n30*n4/n169 + pow(alpha, n0*n27 - n174*n4)*n0*n30*n4*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n4)*n30*n31*n82/(n170*n81) + n167)/n232 + n109*n132*(pow(alpha, NP0*n0 - n174*n7)*n156*n75/n169 + n57*n75)*(pow(alpha, NP0*n0 - n174*n7)*n156*n50*n7/n169 + n50*n57*n7)/n254 + n109*n133*(pow(alpha, NP0*n0 - n0*n174)*n0*n1*n156/n169 + n0*n124)*(pow(alpha, NP0*n0 - n0*n174)*n1*n156*n23*n24/n169 + n124*n23*n24)/n250 + n109*n143*(pow(alpha, NP0*n0 - n174*n6)*n1*n156*n6/n169 + n1*n142)*(pow(alpha, NP0*n0 - n174*n6)*n156*n50*n6/n169 + n142*n50)/n253 + n109*n143*(pow(alpha, NP0*n0 - n174*n6)*n0*n156*n30*n6/n169 + pow(alpha, n0*n27 - n174*n6)*n0*n30*n6*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n6)*n30*n33*n82/(n170*n81) + n165)/n234 + n109*n144*(pow(alpha, NP0*n0 - n17*n174)*n1*n156*n17/n169 + n1*n145)*(pow(alpha, NP0*n0 - n17*n174)*n156*n17*n50/n169 + n145*n50)/n264 + n109*n281*n89*(pow(alpha, NP0*n0 - n11*n174)*n0*n11*n156*n30/n169 + pow(alpha, n0*n27 - n11*n174)*n0*n11*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n11*n174)*n30*n38*n82/(n170*n81) + n160) + n109*n291*xF[11]*(pow(alpha, NP0*n0 - n174*n5)*n1*n156*n5/n169 + n153)*(pow(alpha, NP0*n0 - n174*n5)*n156*n5*n50/n169 + n148*n50) + n109*n292*xF[1]*(pow(alpha, NP0*n0 - n13*n174)*n1*n13*n156/n169 + n1*n139)*(pow(alpha, NP0*n0 - n13*n174)*n13*n156*n50/n169 + n139*n50) + n109*n294*xF[11]*(pow(alpha, NP0*n0 - n174*n5)*n0*n156*n30*n5/n169 + pow(alpha, n0*n27 - n174*n5)*n0*n30*n5*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n5)*n30*n32*n82/(n170*n81) + n161) + n109*n295*xF[4]*(pow(alpha, NP0*n0 - n16*n174)*n1*n156*n16/n169 + n118*n16)*(pow(alpha, NP0*n0 - n16*n174)*n156*n16*n50/n169 + n16*n50*n66) + n109*n296*(pow(alpha, NP0*n0 - n17*n174)*n0*n156*n17*n30/n169 + pow(alpha, n0*n27 - n17*n174)*n0*n17*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n17*n174)*n117*n82/(n170*n81) + n117*n67) + n109*n298*(pow(alpha, NP0*n0 - n13*n174)*n0*n13*n156*n30/n169 + pow(alpha, n0*n27 - n13*n174)*n0*n13*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n13*n174)*n137*n82/(n170*n81) + n137*n63) + n109*n300*(pow(alpha, NP0*n0 - n11*n174)*n1*n11*n156/n169 + n154)*(pow(alpha, NP0*n0 - n11*n174)*n11*n156*n50/n169 + n129*n50) + n109*n301*(pow(alpha, NP0*n0 - n12*n174)*n156*n74/n169 + n62*n74)*(pow(alpha, NP0*n0 - n12*n174)*n12*n156*n50/n169 + n12*n50*n62) + n109*n302*(pow(alpha, NP0*n0 - n174*n20)*n0*n156*n20*n30/n169 + pow(alpha, n0*n27 - n174*n20)*n0*n20*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n20)*n30*n47*n82/(n170*n81) + n162) + n109*n98*xF[8]*(pow(alpha, NP0*n0 - n174*n20)*n1*n156*n20/n169 + n1*n136)*(pow(alpha, NP0*n0 - n174*n20)*n156*n20*n50/n169 + n136*n50)/n267 + n112*n73*(pow(alpha, NP0*n0 - n10*n174)*n10*n156*n24*n30/n169 + pow(alpha, n0*n27 - n10*n174)*n10*n24*n30*n82/(n170*n81) + pow(alpha, n0*n27 - n10*n174)*n30*n37*n82/(n170*n81) + n104*n30*n37)/n238 + n121*n73*(pow(alpha, NP0*n0 - n174*n18)*n156*n18*n24*n30/n169 + pow(alpha, n0*n27 - n174*n18)*n18*n24*n30*n82/(n170*n81) + pow(alpha, n0*n27 - n174*n18)*n30*n45*n82/(n170*n81) + n108*n30*n45)/n246 + n126*n73*(pow(alpha, NP0*n0 - n174*n8)*n156*n24*n30*n8/n169 + pow(alpha, n0*n27 - n174*n8)*n149*n82/(n170*n81) + pow(alpha, n0*n27 - n174*n8)*n24*n30*n8*n82/(n170*n81) + n103*n149)/n236 + n127*n73*(pow(alpha, NP0*n0 - n14*n174)*n14*n156*n24*n30/n169 + pow(alpha, n0*n27 - n14*n174)*n135*n82/(n170*n81) + pow(alpha, n0*n27 - n14*n174)*n14*n24*n30*n82/(n170*n81) + n106*n135)/n242 + n132*n73*(pow(alpha, NP0*n0 - n174*n7)*n156*n24*n30*n7/n169 + pow(alpha, n0*n27 - n174*n7)*n128*n82/(n170*n81) + pow(alpha, n0*n27 - n174*n7)*n24*n30*n7*n82/(n170*n81) + n102*n128)/n235 + n133*n73*(pow(alpha, NP0*n0 - n0*n174)*n119*(-n25 + xPj*xTj)/(n169*n52) + n100*n119)/n231 + n297*n73*(pow(alpha, NP0*n0 - n12*n174)*n12*n156*n24*n30/n169 + pow(alpha, n0*n27 - n12*n174)*n12*n24*n30*n82/(n170*n81) + pow(alpha, n0*n27 - n12*n174)*n140*n82/(n170*n81) + n105*n140) + n299*n73*(pow(alpha, NP0*n0 - n16*n174)*n156*n16*n24*n30/n169 + pow(alpha, n0*n27 - n16*n174)*n16*n24*n30*n82/(n170*n81) + pow(alpha, n0*n27 - n16*n174)*n30*n43*n82/(n170*n81) + n107*n30*n43) + n306 + n307 + n308 + n309 + n310 + n311 + n312 + n313 + n314 + n315 + n316 + n317 + n318 + n319 + n320 + n321 + n322 + n323 + n324 + n404 + n405 + n406 + n407 + n408 + n409 + n410 + n411 + n412 + n413 + n414 + n415 + n416 + n417 + n418 + n419 + n420 + n421 + n422) + 2.0*n306 + 2.0*n424) + pow(-n133*n379*n73 - n27*(1.0*n0*n110*n113*(pow(alpha, NP0*n0 - n0*n174)*n0*n1*n156/n169 + n0*n124)/n231 - 0.5*n133*n73*(pow(alpha, NP0*n0 - n0*n174)*n0*n1*n156/n169 + n0*n124)*(pow(alpha, NP0*n0 - n0*n174)*n1*n156*n23*n24/n169 + n124*n23*n24)/n250 + 0.5*n133*n73*(pow(alpha, NP0*n0 - n0*n174)*n119*(-n25 + xPj*xTj)/(n169*n52) + n100*n119)/n231 + n325 - 0.5*xTj*(n109*n112*(pow(alpha, NP0*n0 - n10*n174)*n1*n10*n156/n169 + n1*n138)*(pow(alpha, NP0*n0 - n10*n174)*n10*n156*n50/n169 + n138*n50)/n257 + n109*n115*(pow(alpha, NP0*n0 - n15*n174)*n1*n15*n156/n169 + n1*n114)*(pow(alpha, NP0*n0 - n15*n174)*n15*n156*n50/n169 + n114*n50)/n262 + n109*n115*(pow(alpha, NP0*n0 - n15*n174)*n0*n15*n156*n30/n169 + pow(alpha, n0*n27 - n15*n174)*n0*n15*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n15*n174)*n30*n42*n82/(n170*n81) + n164)/n243 + n109*n116*(pow(alpha, NP0*n0 - n174*n9)*n156*n77/n169 + n59*n77)*(pow(alpha, NP0*n0 - n174*n9)*n156*n50*n9/n169 + n150*n50)/n256 + n109*n116*(pow(alpha, NP0*n0 - n174*n9)*n0*n156*n30*n9/n169 + pow(alpha, n0*n27 - n174*n9)*n0*n30*n82*n9/(n170*n81) - pow(alpha, n0*n27 - n174*n9)*n134*n82/(n170*n81) + n134*n59)/n237 + n109*n120*(pow(alpha, NP0*n0 - n174*n21)*n1*n156*n21/n169 + n1*n130)*(pow(alpha, NP0*n0 - n174*n21)*n156*n21*n50/n169 + n130*n50)/n268 + n109*n120*(pow(alpha, NP0*n0 - n174*n21)*n0*n156*n21*n30/n169 + pow(alpha, n0*n27 - n174*n21)*n0*n21*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n21)*n30*n48*n82/(n170*n81) + n30*n48*n71)/n249 + n109*n121*(pow(alpha, NP0*n0 - n174*n18)*n1*n156*n18/n169 + n155)*(pow(alpha, NP0*n0 - n174*n18)*n156*n18*n50/n169 + n158)/n265 + n109*n123*(pow(alpha, NP0*n0 - n174*n19)*n1*n156*n19/n169 + n1*n147)*(pow(alpha, NP0*n0 - n174*n19)*n156*n19*n50/n169 + n147*n50)/n266 + n109*n123*(pow(alpha, NP0*n0 - n174*n19)*n0*n156*n19*n30/n169 + pow(alpha, n0*n27 - n174*n19)*n0*n19*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n19)*n125*n82/(n170*n81) + n125*n69)/n247 + n109*n126*(pow(alpha, NP0*n0 - n174*n8)*n1*n156*n8/n169 + n1*n122)*(pow(alpha, NP0*n0 - n174*n8)*n156*n50*n8/n169 + n122*n50)/n255 + n109*n127*(pow(alpha, NP0*n0 - n14*n174)*n156*n76/n169 + n64*n76)*(pow(alpha, NP0*n0 - n14*n174)*n14*n156*n50/n169 + n14*n50*n64)/n261 + n109*n131*(pow(alpha, NP0*n0 - n174*n4)*n1*n156*n4/n169 + n1*n141)*(pow(alpha, NP0*n0 - n174*n4)*n156*n4*n50/n169 + n141*n50)/n251 + n109*n131*(pow(alpha, NP0*n0 - n174*n4)*n0*n156*n30*n4/n169 + pow(alpha, n0*n27 - n174*n4)*n0*n30*n4*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n4)*n30*n31*n82/(n170*n81) + n167)/n232 + n109*n132*(pow(alpha, NP0*n0 - n174*n7)*n156*n75/n169 + n57*n75)*(pow(alpha, NP0*n0 - n174*n7)*n156*n50*n7/n169 + n50*n57*n7)/n254 + n109*n133*(pow(alpha, NP0*n0 - n0*n174)*n0*n1*n156/n169 + n0*n124)*(pow(alpha, NP0*n0 - n0*n174)*n1*n156*n23*n24/n169 + n124*n23*n24)/n250 + n109*n143*(pow(alpha, NP0*n0 - n174*n6)*n1*n156*n6/n169 + n1*n142)*(pow(alpha, NP0*n0 - n174*n6)*n156*n50*n6/n169 + n142*n50)/n253 + n109*n143*(pow(alpha, NP0*n0 - n174*n6)*n0*n156*n30*n6/n169 + pow(alpha, n0*n27 - n174*n6)*n0*n30*n6*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n6)*n30*n33*n82/(n170*n81) + n165)/n234 + n109*n144*(pow(alpha, NP0*n0 - n17*n174)*n1*n156*n17/n169 + n1*n145)*(pow(alpha, NP0*n0 - n17*n174)*n156*n17*n50/n169 + n145*n50)/n264 + n109*n281*n89*(pow(alpha, NP0*n0 - n11*n174)*n0*n11*n156*n30/n169 + pow(alpha, n0*n27 - n11*n174)*n0*n11*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n11*n174)*n30*n38*n82/(n170*n81) + n160) + n109*n291*xF[11]*(pow(alpha, NP0*n0 - n174*n5)*n1*n156*n5/n169 + n153)*(pow(alpha, NP0*n0 - n174*n5)*n156*n5*n50/n169 + n148*n50) + n109*n292*xF[1]*(pow(alpha, NP0*n0 - n13*n174)*n1*n13*n156/n169 + n1*n139)*(pow(alpha, NP0*n0 - n13*n174)*n13*n156*n50/n169 + n139*n50) + n109*n294*xF[11]*(pow(alpha, NP0*n0 - n174*n5)*n0*n156*n30*n5/n169 + pow(alpha, n0*n27 - n174*n5)*n0*n30*n5*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n5)*n30*n32*n82/(n170*n81) + n161) + n109*n295*xF[4]*(pow(alpha, NP0*n0 - n16*n174)*n1*n156*n16/n169 + n118*n16)*(pow(alpha, NP0*n0 - n16*n174)*n156*n16*n50/n169 + n16*n50*n66) + n109*n296*(pow(alpha, NP0*n0 - n17*n174)*n0*n156*n17*n30/n169 + pow(alpha, n0*n27 - n17*n174)*n0*n17*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n17*n174)*n117*n82/(n170*n81) + n117*n67) + n109*n298*(pow(alpha, NP0*n0 - n13*n174)*n0*n13*n156*n30/n169 + pow(alpha, n0*n27 - n13*n174)*n0*n13*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n13*n174)*n137*n82/(n170*n81) + n137*n63) + n109*n300*(pow(alpha, NP0*n0 - n11*n174)*n1*n11*n156/n169 + n154)*(pow(alpha, NP0*n0 - n11*n174)*n11*n156*n50/n169 + n129*n50) + n109*n301*(pow(alpha, NP0*n0 - n12*n174)*n156*n74/n169 + n62*n74)*(pow(alpha, NP0*n0 - n12*n174)*n12*n156*n50/n169 + n12*n50*n62) + n109*n302*(pow(alpha, NP0*n0 - n174*n20)*n0*n156*n20*n30/n169 + pow(alpha, n0*n27 - n174*n20)*n0*n20*n30*n82/(n170*n81) - pow(alpha, n0*n27 - n174*n20)*n30*n47*n82/(n170*n81) + n162) + n109*n98*xF[8]*(pow(alpha, NP0*n0 - n174*n20)*n1*n156*n20/n169 + n1*n136)*(pow(alpha, NP0*n0 - n174*n20)*n156*n20*n50/n169 + n136*n50)/n267 + n112*n73*(pow(alpha, NP0*n0 - n10*n174)*n10*n156*n24*n30/n169 + pow(alpha, n0*n27 - n10*n174)*n10*n24*n30*n82/(n170*n81) + pow(alpha, n0*n27 - n10*n174)*n30*n37*n82/(n170*n81) + n104*n30*n37)/n238 + n121*n73*(pow(alpha, NP0*n0 - n174*n18)*n156*n18*n24*n30/n169 + pow(alpha, n0*n27 - n174*n18)*n18*n24*n30*n82/(n170*n81) + pow(alpha, n0*n27 - n174*n18)*n30*n45*n82/(n170*n81) + n108*n30*n45)/n246 + n126*n73*(pow(alpha, NP0*n0 - n174*n8)*n156*n24*n30*n8/n169 + pow(alpha, n0*n27 - n174*n8)*n149*n82/(n170*n81) + pow(alpha, n0*n27 - n174*n8)*n24*n30*n8*n82/(n170*n81) + n103*n149)/n236 + n127*n73*(pow(alpha, NP0*n0 - n14*n174)*n14*n156*n24*n30/n169 + pow(alpha, n0*n27 - n14*n174)*n135*n82/(n170*n81) + pow(alpha, n0*n27 - n14*n174)*n14*n24*n30*n82/(n170*n81) + n106*n135)/n242 + n132*n73*(pow(alpha, NP0*n0 - n174*n7)*n156*n24*n30*n7/n169 + pow(alpha, n0*n27 - n174*n7)*n128*n82/(n170*n81) + pow(alpha, n0*n27 - n174*n7)*n24*n30*n7*n82/(n170*n81) + n102*n128)/n235 + n133*n73*(pow(alpha, NP0*n0 - n0*n174)*n119*(-n25 + xPj*xTj)/(n169*n52) + n100*n119)/n231 + n297*n73*(pow(alpha, NP0*n0 - n12*n174)*n12*n156*n24*n30/n169 + pow(alpha, n0*n27 - n12*n174)*n12*n24*n30*n82/(n170*n81) + pow(alpha, n0*n27 - n12*n174)*n140*n82/(n170*n81) + n105*n140) + n299*n73*(pow(alpha, NP0*n0 - n16*n174)*n156*n16*n24*n30/n169 + pow(alpha, n0*n27 - n16*n174)*n16*n24*n30*n82/(n170*n81) + pow(alpha, n0*n27 - n16*n174)*n30*n43*n82/(n170*n81) + n107*n30*n43) + n306 + n307 + n308 + n309 + n310 + n311 + n312 + n313 + n314 + n315 + n316 + n317 + n318 + n319 + n320 + n321 + n322 + n323 + n324 + n404 + n405 + n406 + n407 + n408 + n409 + n410 + n411 + n412 + n413 + n414 + n415 + n416 + n417 + n418 + n419 + n420 + n421 + n422)) - n305 - n458*xTj, -n23);
      NP_sqrt_base = fabs(NP_sqrt_base);
      NP1 = (-NP_b - sqrt(NP_sqrt_base))/NP_2a;
      NT1 = n111*(n171 - log(-pow(alpha, NP1*n0)*n156 + 1));
      g0 = MW[1] - Mstar;
      g1 = MW[0] - Mstar;
      g2 = NT1 + 1;
      g3 = xPj - xTj;
      g4 = MW[10] - Mstar;
      g5 = MW[11] - Mstar;
      g6 = MW[12] - Mstar;
      g7 = MW[13] - Mstar;
      g8 = MW[14] - Mstar;
      g9 = MW[15] - Mstar;
      g10 = MW[16] - Mstar;
      g11 = MW[17] - Mstar;
      g12 = MW[18] - Mstar;
      g13 = MW[2] - Mstar;
      g14 = MW[3] - Mstar;
      g15 = MW[4] - Mstar;
      g16 = MW[5] - Mstar;
      g17 = MW[6] - Mstar;
      g18 = MW[7] - Mstar;
      g19 = MW[8] - Mstar;
      g20 = MW[9] - Mstar;
      g21 = xF[0] - xTj;
      g22 = xF[0] - xPj;
      g23 = -xTj;
      g24 = xPj/xF[1];
      g25 = pow(alpha, -g1);
      g26 = pow(alpha, -g4);
      g27 = pow(alpha, -g5);
      g28 = pow(alpha, -g6);
      g29 = pow(alpha, -g7);
      g30 = pow(alpha, -g8);
      g31 = pow(alpha, -g9);
      g32 = pow(alpha, -g10);
      g33 = pow(alpha, -g11);
      g34 = pow(alpha, -g12);
      g35 = pow(alpha, -g0);
      g36 = pow(alpha, -g13);
      g37 = pow(alpha, -g14);
      g38 = pow(alpha, -g15);
      g39 = pow(alpha, -g16);
      g40 = pow(alpha, -g17);
      g41 = pow(alpha, -g18);
      g42 = pow(alpha, -g19);
      g43 = pow(alpha, -g20);
      g44 = log(xF[0]/xF[1]);
      g45 = -g2;
      g46 = pow(alpha, NP1*g0);
      g47 = pow(alpha, NP1*g1);
      g48 = pow(alpha, NP1*g4);
      g49 = log(g25);
      g50 = pow(alpha, NP1*g5);
      g51 = pow(alpha, NP1*g6);
      g52 = pow(alpha, NP1*g7);
      g53 = pow(alpha, NP1*g8);
      g54 = pow(alpha, NP1*g9);
      g55 = pow(alpha, NP1*g10);
      g56 = pow(alpha, NP1*g11);
      g57 = pow(alpha, NP1*g12);
      g58 = pow(alpha, NP1*g13);
      g59 = pow(alpha, NP1*g14);
      g60 = pow(alpha, NP1*g15);
      g61 = pow(alpha, NP1*g16);
      g62 = pow(alpha, NP1*g17);
      g63 = pow(alpha, NP1*g18);
      g64 = pow(alpha, NP1*g19);
      g65 = pow(alpha, NP1*g20);
      g66 = -g44;
      g67 = g21/g3;
      g68 = g3/g21;
      g69 = -g46 + 1;
      g70 = -g46 + 1;
      g71 = -g47 + 1;
      g72 = -g58 + 1;
      g73 = -g59 + 1;
      g74 = -g60 + 1;
      g75 = -g61 + 1;
      g76 = -g62 + 1;
      g77 = -g63 + 1;
      g78 = -g64 + 1;
      g79 = -g65 + 1;
      g80 = -g48 + 1;
      g81 = -g50 + 1;
      g82 = -g51 + 1;
      g83 = -g52 + 1;
      g84 = -g53 + 1;
      g85 = -g54 + 1;
      g86 = -g55 + 1;
      g87 = -g56 + 1;
      g88 = -g57 + 1;
      g89 = -g47;
      g90 = -g48;
      g91 = -g50;
      g92 = -g51;
      g93 = -g52;
      g94 = -g53;
      g95 = -g54;
      g96 = -g55;
      g97 = -g56;
      g98 = -g57;
      g99 = -g58;
      g100 = -g59;
      g101 = -g60;
      g102 = -g61;
      g103 = -g62;
      g104 = -g63;
      g105 = -g64;
      g106 = -g65;
      g107 = -1.0*g44;
      g108 = -g3/g22;
      g109 = g22/(g3*xF[1]);
      g110 = pow(alpha, g0*g45) - 1;
      g111 = pow(alpha, g0*g45) - 1;
      g112 = pow(alpha, g1*g45) - 1;
      g113 = pow(alpha, g13*g45) - 1;
      g114 = pow(alpha, g14*g45) - 1;
      g115 = pow(alpha, g15*g45) - 1;
      g116 = pow(alpha, g16*g45) - 1;
      g117 = pow(alpha, g17*g45) - 1;
      g118 = pow(alpha, g18*g45) - 1;
      g119 = pow(alpha, g19*g45) - 1;
      g120 = pow(alpha, g20*g45) - 1;
      g121 = pow(alpha, g4*g45) - 1;
      g122 = pow(alpha, g45*g5) - 1;
      g123 = pow(alpha, g45*g6) - 1;
      g124 = pow(alpha, g45*g7) - 1;
      g125 = pow(alpha, g45*g8) - 1;
      g126 = pow(alpha, g45*g9) - 1;
      g127 = pow(alpha, g10*g45) - 1;
      g128 = pow(alpha, g11*g45) - 1;
      g129 = pow(alpha, g12*g45) - 1;
      g130 = -pow(alpha, g1*g45);
      g131 = -pow(alpha, g4*g45);
      g132 = -pow(alpha, g45*g5);
      g133 = -pow(alpha, g45*g6);
      g134 = -pow(alpha, g45*g7);
      g135 = -pow(alpha, g45*g8);
      g136 = -pow(alpha, g45*g9);
      g137 = -pow(alpha, g10*g45);
      g138 = -pow(alpha, g11*g45);
      g139 = -pow(alpha, g12*g45);
      g140 = -pow(alpha, g13*g45);
      g141 = -pow(alpha, g14*g45);
      g142 = -pow(alpha, g15*g45);
      g143 = -pow(alpha, g16*g45);
      g144 = -pow(alpha, g17*g45);
      g145 = -pow(alpha, g18*g45);
      g146 = -pow(alpha, g19*g45);
      g147 = -pow(alpha, g20*g45);
      g148 = g111 + g70;
      g149 = -g130 - g47;
      g150 = -g131 - g48;
      g151 = -g132 - g50;
      g152 = -g133 - g51;
      g153 = -g134 - g52;
      g154 = -g135 - g53;
      g155 = -g136 - g54;
      g156 = -g137 - g55;
      g157 = -g138 - g56;
      g158 = -g139 - g57;
      g159 = -g140 - g58;
      g160 = -g141 - g59;
      g161 = -g142 - g60;
      g162 = -g143 - g61;
      g163 = -g144 - g62;
      g164 = -g145 - g63;
      g165 = -g146 - g64;
      g166 = -g147 - g65;
      g167 = pow(alpha, g1*g45) + g89;
      g168 = g111 + g70;
      g169 = pow(alpha, g4*g45) + g90;
      g170 = pow(alpha, g45*g5) + g91;
      g171 = pow(alpha, g45*g6) + g92;
      g172 = pow(alpha, g45*g7) + g93;
      g173 = pow(alpha, g45*g8) + g94;
      g174 = pow(alpha, g45*g9) + g95;
      g175 = pow(alpha, g10*g45) + g96;
      g176 = pow(alpha, g11*g45) + g97;
      g177 = pow(alpha, g12*g45) + g98;
      g178 = pow(alpha, g13*g45) + g99;
      g179 = pow(alpha, g14*g45) + g100;
      g180 = pow(alpha, g15*g45) + g101;
      g181 = pow(alpha, g16*g45) + g102;
      g182 = pow(alpha, g17*g45) + g103;
      g183 = pow(alpha, g18*g45) + g104;
      g184 = pow(alpha, g19*g45) + g105;
      g185 = pow(alpha, g20*g45) + g106;
      g186 = xF[9]/g185;
      g187 = xF[8]/g184;
      g188 = xF[1]/g168;
      g189 = xF[3]/g179;
      g190 = xF[10]/g169;
      g191 = xF[17]/g176;
      g192 = xF[15]/g174;
      g193 = xF[16]/g175;
      g194 = xF[7]/g183;
      g195 = xF[4]/g180;
      g196 = xF[12]/g171;
      g197 = xF[13]/g172;
      g198 = xF[11]/g170;
      g199 = xF[6]/g182;
      g200 = xF[14]/g173;
      g201 = xF[5]/g181;
      g202 = xF[2]/g178;
      g203 = xF[18]/g177;
      g204 = xF[0]/g167;
      g205 = xF[17]/g157;
      g206 = xF[0]/g149;
      g207 = xF[15]/g155;
      g208 = xF[4]/g161;
      g209 = xF[2]/g159;
      g210 = xF[11]/g151;
      g211 = xF[18]/g158;
      g212 = xF[1]/g148;
      g213 = xF[13]/g153;
      g214 = xF[16]/g156;
      g215 = xF[3]/g160;
      g216 = xF[6]/g163;
      g217 = xF[14]/g154;
      g218 = xF[8]/g165;
      g219 = xF[12]/g152;
      g220 = xF[10]/g150;
      g221 = xF[7]/g164;
      g222 = xF[9]/g166;
      g223 = xF[5]/g162;
      g224 = g82/g152;
      g225 = g79/g166;
      g226 = g87/g157;
      g227 = g85/g155;
      g228 = g74/g161;
      g229 = g72/g159;
      g230 = g71/g149;
      g231 = g75/g162;
      g232 = g88/g158;
      g233 = g76/g163;
      g234 = g83/g153;
      g235 = g73/g160;
      g236 = g86/g156;
      g237 = g81/g151;
      g238 = g84/g154;
      g239 = g80/g150;
      g240 = g78/g165;
      g241 = g69/g148;
      g242 = g77/g164;
      g243 = g112/g149;
      g244 = g126/g155;
      g245 = g122/g151;
      g246 = g113/g159;
      g247 = g114/g160;
      g248 = g115/g161;
      g249 = g128/g157;
      g250 = g110/g148;
      g251 = g119/g165;
      g252 = g120/g166;
      g253 = g127/g156;
      g254 = g117/g163;
      g255 = g125/g154;
      g256 = g123/g152;
      g257 = g124/g153;
      g258 = g129/g158;
      g259 = g118/g164;
      g260 = g121/g150;
      g261 = g116/g162;
      g262 = log(g109*g168*g23/g70);
      g263 = log(g109*g148*g23/g69);
      g264 = log(g168*g24*g67/g111);
      g265 = 1.0*g262;
      g266 = log(g148*g24*g67/g110);
      g267 = 1.0*g264;
      g268 = -g107*xF[0] - g107*xF[10] - g107*xF[11] - g107*xF[12] - g107*xF[13] - g107*xF[14] - g107*xF[15] - g107*xF[16] - g107*xF[17] - g107*xF[18] - g107*xF[1] - g107*xF[2] - g107*xF[3] - g107*xF[4] - g107*xF[5] - g107*xF[6] - g107*xF[7] - g107*xF[8] - g107*xF[9] - g111*g188*g267 - g186*g265*(g106 + 1) - g186*g267*(pow(alpha, g20*g45) - 1) - g187*g265*(g105 + 1) - g187*g267*(pow(alpha, g19*g45) - 1) - g188*g265*g70 - g189*g265*(g100 + 1) - g189*g267*(pow(alpha, g14*g45) - 1) - g190*g265*(g90 + 1) - g190*g267*(pow(alpha, g4*g45) - 1) - g191*g265*(g97 + 1) - g191*g267*(pow(alpha, g11*g45) - 1) - g192*g265*(g95 + 1) - g192*g267*(pow(alpha, g45*g9) - 1) - g193*g265*(g96 + 1) - g193*g267*(pow(alpha, g10*g45) - 1) - g194*g265*(g104 + 1) - g194*g267*(pow(alpha, g18*g45) - 1) - g195*g265*(g101 + 1) - g195*g267*(pow(alpha, g15*g45) - 1) - g196*g265*(g92 + 1) - g196*g267*(pow(alpha, g45*g6) - 1) - g197*g265*(g93 + 1) - g197*g267*(pow(alpha, g45*g7) - 1) - g198*g265*(g91 + 1) - g198*g267*(pow(alpha, g45*g5) - 1) - g199*g265*(g103 + 1) - g199*g267*(pow(alpha, g17*g45) - 1) - g200*g265*(g94 + 1) - g200*g267*(pow(alpha, g45*g8) - 1) - g201*g265*(g102 + 1) - g201*g267*(pow(alpha, g16*g45) - 1) - g202*g265*(g99 + 1) - g202*g267*(pow(alpha, g13*g45) - 1) - g203*g265*(g98 + 1) - g203*g267*(pow(alpha, g12*g45) - 1) - g204*g265*(g89 + 1) - g204*g267*(pow(alpha, g1*g45) - 1);
      LpF = xF[0]*(g25 + 1.0)*(g230*g263 + g243*g266 + g66)/(g49*(g25 - 1.0)) + xF[10]*(g26 + 1.0)*(g239*g263 + g260*g266 + g66)/(g49*(g26 - 1.0)) + xF[11]*(g27 + 1.0)*(g237*g263 + g245*g266 + g66)/(g49*(g27 - 1.0)) + xF[12]*(g28 + 1.0)*(g224*g263 + g256*g266 + g66)/(g49*(g28 - 1.0)) + xF[13]*(g29 + 1.0)*(g234*g263 + g257*g266 + g66)/(g49*(g29 - 1.0)) + xF[14]*(g30 + 1.0)*(g238*g263 + g255*g266 + g66)/(g49*(g30 - 1.0)) + xF[15]*(g31 + 1.0)*(g227*g263 + g244*g266 + g66)/(g49*(g31 - 1.0)) + xF[16]*(g32 + 1.0)*(g236*g263 + g253*g266 + g66)/(g49*(g32 - 1.0)) + xF[17]*(g33 + 1.0)*(g226*g263 + g249*g266 + g66)/(g49*(g33 - 1.0)) + xF[18]*(g34 + 1.0)*(g232*g263 + g258*g266 + g66)/(g49*(g34 - 1.0)) + xF[1]*(g35 + 1.0)*(g241*g263 + g250*g266 + g66)/(g49*(g35 - 1.0)) + xF[2]*(g36 + 1.0)*(g229*g263 + g246*g266 + g66)/(g49*(g36 - 1.0)) + xF[3]*(g37 + 1.0)*(g235*g263 + g247*g266 + g66)/(g49*(g37 - 1.0)) + xF[4]*(g38 + 1.0)*(g228*g263 + g248*g266 + g66)/(g49*(g38 - 1.0)) + xF[5]*(g39 + 1.0)*(g231*g263 + g261*g266 + g66)/(g49*(g39 - 1.0)) + xF[6]*(g40 + 1.0)*(g233*g263 + g254*g266 + g66)/(g49*(g40 - 1.0)) + xF[7]*(g41 + 1.0)*(g242*g263 + g259*g266 + g66)/(g49*(g41 - 1.0)) + xF[8]*(g42 + 1.0)*(g240*g263 + g251*g266 + g66)/(g49*(g42 - 1.0)) + xF[9]*(g43 + 1.0)*(g225*g263 + g252*g266 + g66)/(g49*(g43 - 1.0));
      PpF = g67;
      TpF = -g22/g3;
      SWUpF = g268;
      SWUpP = g268*g68;
      xP[0] = g112*g206*g68;
      xP[1] = g110*g212*g68;
      xP[2] = g113*g209*g68;
      xP[3] = g114*g215*g68;
      xP[4] = g115*g208*g68;
      xP[5] = g116*g223*g68;
      xP[6] = g117*g216*g68;
      xP[7] = g118*g221*g68;
      xP[8] = g119*g218*g68;
      xP[9] = g120*g222*g68;
      xP[10] = g121*g220*g68;
      xP[11] = g122*g210*g68;
      xP[12] = g123*g219*g68;
      xP[13] = g124*g213*g68;
      xP[14] = g125*g217*g68;
      xP[15] = g126*g207*g68;
      xP[16] = g127*g214*g68;
      xP[17] = g128*g205*g68;
      xP[18] = g129*g211*g68;
      xT[0] = g108*g206*g71;
      xT[1] = g108*g212*g69;
      xT[2] = g108*g209*g72;
      xT[3] = g108*g215*g73;
      xT[4] = g108*g208*g74;
      xT[5] = g108*g223*g75;
      xT[6] = g108*g216*g76;
      xT[7] = g108*g221*g77;
      xT[8] = g108*g218*g78;
      xT[9] = g108*g222*g79;
      xT[10] = g108*g220*g80;
      xT[11] = g108*g210*g81;
      xT[12] = g108*g219*g82;
      xT[13] = g108*g213*g83;
      xT[14] = g108*g217*g84;
      xT[15] = g108*g207*g85;
      xT[16] = g108*g214*g86;
      xT[17] = g108*g205*g87;
      xT[18] = g108*g211*g88;
      break;
    case 20:
      n0 = MW[0] - Mstar;
      n1 = log(alpha);
      n2 = xPj - xTj;
      n3 = xF[0] - xPj;
      n4 = MW[10] - Mstar;
      n5 = MW[11] - Mstar;
      n6 = MW[12] - Mstar;
      n7 = MW[13] - Mstar;
      n8 = MW[14] - Mstar;
      n9 = MW[15] - Mstar;
      n10 = MW[16] - Mstar;
      n11 = MW[17] - Mstar;
      n12 = MW[18] - Mstar;
      n13 = MW[19] - Mstar;
      n14 = MW[1] - Mstar;
      n15 = MW[2] - Mstar;
      n16 = MW[3] - Mstar;
      n17 = MW[4] - Mstar;
      n18 = MW[5] - Mstar;
      n19 = MW[6] - Mstar;
      n20 = MW[7] - Mstar;
      n21 = MW[8] - Mstar;
      n22 = MW[9] - Mstar;
      n23 = log(xTj);
      n24 = -2;
      n25 = -n0;
      n26 = xF[0]*xPj;
      n27 = -Mstar;
      n28 = -n24*xF[4];
      n29 = -n24*xF[12];
      n30 = -n24*xF[11];
      n31 = 4.0*xF[0];
      n32 = -xTj;
      n33 = -n24*xF[0];
      n34 = -xPj;
      n35 = -n24*xF[1];
      n36 = -n24*xF[17];
      n37 = -MW[0];
      n38 = -NP0*n24;
      n39 = pow(n0, -n24);
      n40 = pow(n1, -n24);
      n41 = pow(n4, -n24);
      n42 = pow(n5, -n24);
      n43 = pow(n6, -n24);
      n44 = pow(n7, -n24);
      n45 = pow(n8, -n24);
      n46 = pow(n9, -n24);
      n47 = pow(n10, -n24);
      n48 = pow(n11, -n24);
      n49 = pow(n12, -n24);
      n50 = pow(n13, -n24);
      n51 = pow(n14, -n24);
      n52 = pow(n15, -n24);
      n53 = pow(n16, -n24);
      n54 = pow(n17, -n24);
      n55 = pow(n18, -n24);
      n56 = pow(n19, -n24);
      n57 = pow(n20, -n24);
      n58 = pow(n21, -n24);
      n59 = pow(n22, -n24);
      n60 = Mstar*n1;
      n61 = -n1*n24;
      n62 = NP0*n0;
      n63 = pow(alpha, n62);
      n64 = n26 + n32*xF[0];
      n65 = n26 + n32*xPj;
      n66 = pow(alpha, NP0*n4);
      n67 = pow(alpha, NP0*n5);
      n68 = pow(alpha, NP0*n6);
      n69 = pow(alpha, NP0*n7);
      n70 = pow(alpha, NP0*n8);
      n71 = pow(alpha, NP0*n9);
      n72 = pow(alpha, NP0*n10);
      n73 = pow(alpha, NP0*n11);
      n74 = pow(alpha, NP0*n12);
      n75 = pow(alpha, NP0*n13);
      n76 = pow(alpha, NP0*n14);
      n77 = pow(alpha, NP0*n15);
      n78 = pow(alpha, NP0*n16);
      n79 = pow(alpha, NP0*n17);
      n80 = pow(alpha, NP0*n18);
      n81 = pow(alpha, NP0*n19);
      n82 = pow(alpha, NP0*n20);
      n83 = pow(alpha, NP0*n21);
      n84 = pow(alpha, NP0*n22);
      n85 = n1*n37;
      n86 = n2/n3;
      n87 = n1*n18;
      n88 = -n40;
      n89 = n1*n7;
      n90 = n1*n15;
      n91 = n1*n9;
      n92 = n1*n21;
      n93 = n0*n22;
      n94 = n0*n18;
      n95 = n0*n12;
      n96 = -n63 + 1;
      n97 = -n66 + 1;
      n98 = pow(alpha, NP0*n24*n25);
      n99 = pow(n64, -n24);
      n100 = pow(n65, -n24);
      n101 = -n67 + 1;
      n102 = -n68 + 1;
      n103 = -n69 + 1;
      n104 = -n70 + 1;
      n105 = -n71 + 1;
      n106 = -n72 + 1;
      n107 = -n73 + 1;
      n108 = -n74 + 1;
      n109 = -n75 + 1;
      n110 = -n76 + 1;
      n111 = -n77 + 1;
      n112 = -n78 + 1;
      n113 = -n79 + 1;
      n114 = -n80 + 1;
      n115 = -n81 + 1;
      n116 = -n82 + 1;
      n117 = -n83 + 1;
      n118 = -n84 + 1;
      n119 = n96;
      n120 = n97;
      n121 = n101;
      n122 = n102;
      n123 = n103;
      n124 = n104;
      n125 = n105;
      n126 = n106;
      n127 = n107;
      n128 = n108;
      n129 = n109;
      n130 = n110;
      n131 = n111;
      n132 = n112;
      n133 = n113;
      n134 = n114;
      n135 = n115;
      n136 = n116;
      n137 = n117;
      n138 = n118;
      n139 = -n102;
      n140 = -n63;
      n141 = -n80;
      n142 = -n86;
      n143 = n69*xF[13];
      n144 = n74*xF[18];
      n145 = n83*xF[8];
      n146 = 1/(n0*n1);
      n147 = n77*xF[2];
      n148 = n17*n40;
      n149 = n106*xF[16];
      n150 = n101*xF[11];
      n151 = n134*xF[5];
      n152 = n108*xF[18];
      n153 = n40*n44;
      n154 = n16*n78;
      n155 = n126*xF[16];
      n156 = n105*xF[15];
      n157 = n19*n81;
      n158 = n0*n63;
      n159 = n40*n55;
      n160 = n1*n79;
      n161 = n11*n73;
      n162 = n118*xF[9];
      n163 = n4*n66;
      n164 = n116*xF[7];
      n165 = n132*xF[3];
      n166 = n127*xF[17];
      n167 = n136*xF[7];
      n168 = n133*xF[4];
      n169 = n13*n75;
      n170 = n111*xF[2];
      n171 = n40*n49;
      n172 = n130*xF[1];
      n173 = n70*n8;
      n174 = n40*n58;
      n175 = n138*xF[9];
      n176 = n103*xF[13];
      n177 = n125*xF[15];
      n178 = n124*xF[14];
      n179 = n119*xF[0];
      n180 = n40*n46;
      n181 = n40*n52;
      n182 = n10*n72;
      n183 = n131*xF[2];
      n184 = n104*xF[14];
      n185 = n22*n84;
      n186 = n114*xF[5];
      n187 = n110*xF[1];
      n188 = n14*n76;
      n189 = n123*xF[13];
      n190 = n135*xF[6];
      n191 = n129*xF[19];
      n192 = n12*n74;
      n193 = n20*n82;
      n194 = n71*n9;
      n195 = n120*xF[10];
      n196 = n137*xF[8];
      n197 = n117*xF[8];
      n198 = n128*xF[18];
      n199 = log((-1.0 + xPj/xF[0])/n2);
      n200 = n173*xF[14];
      n201 = n188*xF[1];
      n202 = n42*n67;
      n203 = n182*xF[16];
      n204 = n185*xF[9];
      n205 = n39*n63;
      n206 = n193*xF[7];
      n207 = n50*n75;
      n208 = n54*n79;
      n209 = n1*n158;
      n210 = n1*n163;
      n211 = n1*n5*n67;
      n212 = n1*n6*n68;
      n213 = n69*n89;
      n214 = n1*n173;
      n215 = n71*n91;
      n216 = n1*n182;
      n217 = n1*n161;
      n218 = n1*n192;
      n219 = n1*n169;
      n220 = n1*n188;
      n221 = n77*n90;
      n222 = n1*n154;
      n223 = n160*n17;
      n224 = n80*n87;
      n225 = n1*n157;
      n226 = n1*n193;
      n227 = n83*n92;
      n228 = n1*n185;
      n229 = n65/n64;
      n230 = n40*n98;
      n231 = n40*n41*n66;
      n232 = n40*n43*n68;
      n233 = n180*n71;
      n234 = n40*n48*n73;
      n235 = n40*n51*n76;
      n236 = n40*n53*n78;
      n237 = n159*n80;
      n238 = n40*n56*n81;
      n239 = n40*n57*n82;
      n240 = n174*n83;
      n241 = n40*n59*n84;
      n242 = n40*n45*n70;
      n243 = n40*n47*n72;
      n244 = n205*n40*xF[0];
      n245 = n239*xF[7];
      n246 = n238*xF[6];
      n247 = n236*xF[3];
      n248 = n208*n40*xF[4];
      n249 = n140*n229 + 1;
      n250 = -n229*n63 + 1;
      n251 = pow(n249, -n24);
      n252 = pow(n250, -n24);
      n253 = n1*n229*n63;
      n254 = n199 + n23 + n60 + n85;
      n255 = n40/n249;
      n256 = n100/(n252*n99);
      n257 = n0*n256;
      n258 = n146*(n254 - log(n249)) + 1;
      n259 = n146*(n254 - log(n250)) + 1;
      n260 = pow(alpha, n0*n258);
      n261 = pow(alpha, n258*n4);
      n262 = pow(alpha, n258*n5);
      n263 = pow(alpha, n258*n6);
      n264 = pow(alpha, n258*n7);
      n265 = pow(alpha, n258*n8);
      n266 = pow(alpha, n258*n9);
      n267 = pow(alpha, n10*n258);
      n268 = pow(alpha, n11*n258);
      n269 = pow(alpha, n12*n258);
      n270 = pow(alpha, n13*n258);
      n271 = pow(alpha, n14*n258);
      n272 = pow(alpha, n15*n258);
      n273 = pow(alpha, n16*n258);
      n274 = pow(alpha, n17*n258);
      n275 = pow(alpha, n18*n258);
      n276 = pow(alpha, n19*n258);
      n277 = pow(alpha, n20*n258);
      n278 = pow(alpha, n21*n258);
      n279 = pow(alpha, n22*n258);
      n280 = pow(alpha, -n259*n4);
      n281 = pow(alpha, -n259*n6);
      n282 = pow(alpha, -n259*n9);
      n283 = pow(alpha, -n11*n259);
      n284 = pow(alpha, -n14*n259);
      n285 = pow(alpha, -n16*n259);
      n286 = pow(alpha, -n18*n259);
      n287 = pow(alpha, -n19*n259);
      n288 = pow(alpha, -n20*n259);
      n289 = pow(alpha, -n21*n259);
      n290 = pow(alpha, -n22*n259);
      n291 = -1/n269;
      n292 = n7/n264;
      n293 = n22*n290;
      n294 = n6/n263;
      n295 = -1/n264;
      n296 = n13/n270;
      n297 = n20/n277;
      n298 = -1/n263;
      n299 = n281*n6;
      n300 = -1/n276;
      n301 = -1/n261;
      n302 = n11/n268;
      n303 = n16/n273;
      n304 = n19/n276;
      n305 = n8/n265;
      n306 = -1/n266;
      n307 = n21/n278;
      n308 = n10/n267;
      n309 = n20*n288;
      n310 = -1/n262;
      n311 = n5/n262;
      n312 = -1/n275;
      n313 = n16*n285;
      n314 = n14/n271;
      n315 = -1/n279;
      n316 = n15/n272;
      n317 = -1/n273;
      n318 = n17/n274;
      n319 = n19*n287;
      n320 = -1/n270;
      n321 = n9/n266;
      n322 = n18/n275;
      n323 = -1/n278;
      n324 = n4/n261;
      n325 = -1/n271;
      n326 = n282*n9;
      n327 = -1/n268;
      n328 = n14*n284;
      n329 = -1/n277;
      n330 = n21*n289;
      n331 = n280*n4;
      n332 = n11*n283;
      n333 = n47/n267;
      n334 = n54/n274;
      n335 = n45/n265;
      n336 = pow(alpha, n25*n258) + n96 - 1;
      n337 = n97 - 1 + 1.0/n261;
      n338 = n101 - 1 + 1.0/n262;
      n339 = n102 - 1 + 1.0/n263;
      n340 = n103 - 1 + 1.0/n264;
      n341 = n104 - 1 + 1.0/n265;
      n342 = n105 - 1 + 1.0/n266;
      n343 = n106 - 1 + 1.0/n267;
      n344 = n107 - 1 + 1.0/n268;
      n345 = n108 - 1 + 1.0/n269;
      n346 = n109 - 1 + 1.0/n270;
      n347 = n110 - 1 + 1.0/n271;
      n348 = n111 - 1 + 1.0/n272;
      n349 = n112 - 1 + 1.0/n273;
      n350 = n113 - 1 + 1.0/n274;
      n351 = n114 - 1 + 1.0/n275;
      n352 = n115 - 1 + 1.0/n276;
      n353 = n116 - 1 + 1.0/n277;
      n354 = n117 - 1 + 1.0/n278;
      n355 = n118 - 1 + 1.0/n279;
      n356 = n96 - 1 + 1.0/n260;
      n357 = -n301 + n97 - 1;
      n358 = n101 - n310 - 1;
      n359 = -n139 - n298 - 1;
      n360 = n103 - n295 - 1;
      n361 = n341;
      n362 = n105 - n306 - 1;
      n363 = n343;
      n364 = n107 - n327 - 1;
      n365 = n108 - n291 - 1;
      n366 = n109 - n320 - 1;
      n367 = n110 - n325 - 1;
      n368 = n348;
      n369 = n112 - n317 - 1;
      n370 = n350;
      n371 = n114 - n312 - 1;
      n372 = n115 - n300 - 1;
      n373 = n116 - n329 - 1;
      n374 = n117 - n323 - 1;
      n375 = n118 - n315 - 1;
      n376 = pow(n336, -n24);
      n377 = pow(n337, -n24);
      n378 = pow(n338, -n24);
      n379 = pow(n339, -n24);
      n380 = pow(n340, -n24);
      n381 = pow(n341, -n24);
      n382 = pow(n342, -n24);
      n383 = pow(n343, -n24);
      n384 = pow(n344, -n24);
      n385 = pow(n345, -n24);
      n386 = pow(n346, -n24);
      n387 = pow(n347, -n24);
      n388 = pow(n348, -n24);
      n389 = pow(n349, -n24);
      n390 = pow(n350, -n24);
      n391 = pow(n351, -n24);
      n392 = pow(n352, -n24);
      n393 = pow(n353, -n24);
      n394 = pow(n354, -n24);
      n395 = pow(n355, -n24);
      n396 = pow(n336, 3);
      n397 = pow(n337, 3);
      n398 = pow(n338, 3);
      n399 = pow(n339, 3);
      n400 = pow(n340, 3);
      n401 = pow(n341, 3);
      n402 = pow(n342, 3);
      n403 = pow(n343, 3);
      n404 = pow(n344, 3);
      n405 = pow(n345, 3);
      n406 = pow(n346, 3);
      n407 = pow(n347, 3);
      n408 = pow(n348, 3);
      n409 = pow(n349, 3);
      n410 = pow(n350, 3);
      n411 = pow(n351, 3);
      n412 = pow(n352, 3);
      n413 = pow(n353, 3);
      n414 = pow(n354, 3);
      n415 = pow(n355, 3);
      n416 = pow(n356, -n24);
      n417 = pow(n357, -n24);
      n418 = pow(n362, -n24);
      n419 = pow(n364, -n24);
      n420 = pow(n366, -n24);
      n421 = pow(n368, -n24);
      n422 = pow(n369, -n24);
      n423 = pow(n370, -n24);
      n424 = pow(n371, -n24);
      n425 = pow(n372, -n24);
      n426 = pow(n373, -n24);
      n427 = pow(n356, 3);
      n428 = xF[12]/n339;
      n429 = xF[17]/n344;
      n430 = 0.5/n336;
      n431 = xF[10]/n337;
      n432 = xF[11]/n338;
      n433 = xF[19]/n346;
      n434 = xF[0]/n336;
      n435 = xF[16]/n343;
      n436 = xF[14]/n341;
      n437 = xF[3]/n389;
      n438 = n1/n347;
      n439 = n1/n341;
      n440 = xF[17]/n384;
      n441 = xF[10]/n377;
      n442 = n1/n343;
      n443 = n1/n355;
      n444 = n1/n353;
      n445 = -1/n393;
      n446 = xF[0]/n416;
      n447 = n1/n376;
      n448 = n1*n12/n345;
      n449 = n147/n348;
      n450 = n96/n376;
      n451 = n113/n410;
      n452 = n186/n391;
      n453 = n115*xF[6]/n412;
      n454 = n187/n387;
      n455 = n113*xF[4]/n390;
      n456 = n107*xF[17]/n404;
      n457 = n102*xF[12]/n399;
      n458 = n197/n394;
      n459 = n97*xF[10]/n397;
      n460 = 1/(n249*n274);
      n461 = 1/(n249*n260);
      n462 = n12/(n249*n269);
      n463 = n22/(n249*n279);
      n464 = n293/n250;
      n465 = n299/n250;
      n466 = n241*xF[9]/n355;
      n467 = n235*xF[1]/n347;
      n468 = n319/n250;
      n469 = n309/n250;
      n470 = n313/n250;
      n471 = n328/n250;
      n472 = n331/n250;
      n473 = n332/n250;
      n474 = n1*n25*n434*n63*n86;
      n475 = n244*n86/n336;
      n476 = n231*n431*n86;
      n477 = n202*n40*n432*n86;
      n478 = n232*n428*n86;
      n479 = n143*n153*n86/n340;
      n480 = n242*n436*n86;
      n481 = n233*n86*xF[15]/n342;
      n482 = n243*n435*n86;
      n483 = n234*n429*n86;
      n484 = n144*n171*n86/n345;
      n485 = n207*n40*n433*n86;
      n486 = n467*n86;
      n487 = n181*n449*n86;
      n488 = n247*n86/n349;
      n489 = n248*n86/n350;
      n490 = n237*n86*xF[5]/n351;
      n491 = n246*n86/n352;
      n492 = n245*n86/n353;
      n493 = n145*n174*n86/n354;
      n494 = n466*n86;
      n495 = n244*n430*n86;
      n496 = n229*n461 + 1;
      n497 = n209*n229*n461 + n209;
      n498 = n210 + n253*n324/n249;
      n499 = n211 + n253*n311/n249;
      n500 = n212 + n253*n294/n249;
      n501 = n213 + n229*n63*n89/(n249*n264);
      n502 = n214 + n253*n305/n249;
      n503 = n215 + n229*n63*n91/(n249*n266);
      n504 = n216 + n253*n308/n249;
      n505 = n217 + n253*n302/n249;
      n506 = n218 + n253*n462;
      n507 = n219 + n253*n296/n249;
      n508 = n220 + n253*n314/n249;
      n509 = n221 + n229*n63*n90/(n249*n272);
      n510 = n222 + n253*n303/n249;
      n511 = n223 + n253*n318/n249;
      n512 = n224 + n229*n63*n87/(n249*n275);
      n513 = n225 + n253*n304/n249;
      n514 = n226 + n253*n297/n249;
      n515 = n227 + n229*n63*n92/(n249*n278);
      n516 = n228 + n253*n463;
      n517 = pow(n497, -n24);
      n518 = pow(n498, -n24);
      n519 = pow(n499, -n24);
      n520 = pow(n500, -n24);
      n521 = pow(n501, -n24);
      n522 = pow(n502, -n24);
      n523 = pow(n503, -n24);
      n524 = pow(n504, -n24);
      n525 = pow(n505, -n24);
      n526 = pow(n506, -n24);
      n527 = pow(n507, -n24);
      n528 = pow(n508, -n24);
      n529 = pow(n509, -n24);
      n530 = pow(n510, -n24);
      n531 = pow(n511, -n24);
      n532 = pow(n512, -n24);
      n533 = pow(n513, -n24);
      n534 = pow(n514, -n24);
      n535 = pow(n515, -n24);
      n536 = pow(n516, -n24);
      n537 = pow(alpha, n25*n259)*n209*n229/n250 + n209;
      n538 = n497*xF[0];
      n539 = n511*xF[4];
      n540 = n1*n24*n25*n63 + n24*n25*n253*n461;
      n541 = pow(n537, -n24);
      n542 = -n205*n229*n255/n260 - n205*n40;
      n543 = n205*n229*n461*n88 + n205*n88;
      n544 = n112*n510;
      n545 = n498*n97;
      n546 = n107*n505;
      n547 = n504/n383;
      n548 = n499/n378;
      n549 = n509/n388;
      n550 = n506/n385;
      n551 = n516/n395;
      n552 = n512/n391;
      n553 = n501/n380;
      n554 = n502/n381;
      n555 = n503/n382;
      n556 = n508/n387;
      n557 = n514/n393;
      n558 = n526/n405;
      n559 = n500*xF[12]/n379;
      n560 = n513*xF[6]/n392;
      n561 = n536/n415;
      n562 = n507*xF[19]/n386;
      n563 = n523/n402;
      n564 = n521/n400;
      n565 = n534/n413;
      n566 = n529/n408;
      n567 = n532/n411;
      n568 = n519/n398;
      n569 = n524/n403;
      n570 = n528/n407;
      n571 = n522/n401;
      n572 = n540/n396;
      n573 = n517*n96/n396;
      n574 = n112*n530*xF[3]/n409;
      n575 = n197*n535/n414;
      n576 = n109*n527*xF[19]/n406;
      n577 = n450*n538*n86;
      n578 = n179*n542/n416;
      n579 = n24*n25*n447*n63*n86*xF[0]*(pow(alpha, n25*n258 + n62)*n0*n1*n229/n249 + n209);
      n580 = n163*n441*n61*n86*(pow(alpha, -n258*n4 + n62)*n1*n229*n4/n249 + n210);
      n581 = n211*n30*n86*(pow(alpha, -n258*n5 + n62)*n1*n229*n5/n249 + n211)/n378;
      n582 = n212*n29*n86*(pow(alpha, -n258*n6 + n62)*n1*n229*n6/n249 + n212)/n379;
      n583 = n143*n61*n7*n86*(pow(alpha, -n258*n7 + n62)*n229*n89/n249 + n213)/n380;
      n584 = n200*n61*n86*(pow(alpha, -n258*n8 + n62)*n1*n229*n8/n249 + n214)/n381;
      n585 = n194*n61*n86*xF[15]*(pow(alpha, -n258*n9 + n62)*n229*n91/n249 + n215)/n382;
      n586 = n203*n61*n86*(pow(alpha, -n10*n258 + n62)*n1*n10*n229/n249 + n216)/n383;
      n587 = n217*n36*n86*(pow(alpha, -n11*n258 + n62)*n1*n11*n229/n249 + n217)/n384;
      n588 = n12*n144*n61*n86*(pow(alpha, -n12*n258 + n62)*n1*n12*n229/n249 + n218)/n385;
      n589 = n169*n61*n86*xF[19]*(pow(alpha, -n13*n258 + n62)*n1*n13*n229/n249 + n219)/n386;
      n590 = n220*n35*n86*(pow(alpha, -n14*n258 + n62)*n1*n14*n229/n249 + n220)/n387;
      n591 = n147*n15*n61*n86*(pow(alpha, -n15*n258 + n62)*n229*n90/n249 + n221)/n388;
      n592 = n154*n437*n61*n86*(pow(alpha, -n16*n258 + n62)*n1*n16*n229/n249 + n222);
      n593 = n223*n28*n86*(pow(alpha, -n17*n258 + n62)*n1*n17*n229/n249 + n223)/n390;
      n594 = n18*n61*n80*n86*xF[5]*(pow(alpha, -n18*n258 + n62)*n229*n87/n249 + n224)/n391;
      n595 = n157*n61*n86*xF[6]*(pow(alpha, -n19*n258 + n62)*n1*n19*n229/n249 + n225)/n392;
      n596 = n206*n61*n86*(pow(alpha, -n20*n258 + n62)*n1*n20*n229/n249 + n226)/n393;
      n597 = n145*n21*n61*n86*(pow(alpha, -n21*n258 + n62)*n229*n92/n249 + n227)/n394;
      n598 = n204*n61*n86*(pow(alpha, -n22*n258 + n62)*n1*n22*n229/n249 + n228)/n395;
      n599 = 1.0*n209*n538*n86/n376;
      n600 = n450*n543*n86*xF[0];
      n601 = 0.5*n600;
      n602 = pow(alpha, n0*n38)*n0*n100*n324*n40/(n251*n99) + pow(alpha, n0*n38)*n100*n41*n88/(n251*n261*n99) + n158*n229*n255*n324 + n231;
      n603 = pow(alpha, n0*n38)*n0*n100*n294*n40/(n251*n99) + pow(alpha, n0*n38)*n100*n43*n88/(n251*n263*n99) + n158*n229*n255*n294 + n232;
      n604 = pow(alpha, n0*n38)*n100*n153/(n251*n264*n99) + pow(alpha, n0*n38)*n100*n25*n292*n40/(n251*n99) + n229*n25*n255*n292*n63 + n44*n69*n88;
      n605 = pow(alpha, n0*n38)*n0*n100*n321*n40/(n251*n99) + pow(alpha, n0*n38)*n100*n46*n88/(n251*n266*n99) + n158*n229*n255*n321 + n233;
      n606 = pow(alpha, n0*n38)*n100*n25*n308*n40/(n251*n99) + pow(alpha, n0*n38)*n100*n333*n40/(n251*n99) + n229*n25*n255*n308*n63 + n47*n72*n88;
      n607 = pow(alpha, n0*n38)*n0*n100*n302*n40/(n251*n99) + pow(alpha, n0*n38)*n100*n48*n88/(n251*n268*n99) + n158*n229*n255*n302 + n234;
      n608 = pow(alpha, n0*n38)*n100*n12*n25*n40/(n251*n269*n99) + pow(alpha, n0*n38)*n100*n171/(n251*n269*n99) + n12*n229*n25*n255*n63/n269 + n49*n74*n88;
      n609 = pow(alpha, n0*n38)*n100*n25*n296*n40/(n251*n99) + pow(alpha, n0*n38)*n100*n40*n50/(n251*n270*n99) + n207*n88 + n229*n25*n255*n296*n63;
      n610 = pow(alpha, n0*n38)*n100*n181/(n251*n272*n99) + pow(alpha, n0*n38)*n100*n25*n316*n40/(n251*n99) + n229*n25*n255*n316*n63 + n52*n77*n88;
      n611 = pow(alpha, n0*n38)*n0*n100*n303*n40/(n251*n99) + pow(alpha, n0*n38)*n100*n53*n88/(n251*n273*n99) + n158*n229*n255*n303 + n236;
      n612 = pow(alpha, n0*n38)*n0*n100*n304*n40/(n251*n99) + pow(alpha, n0*n38)*n100*n56*n88/(n251*n276*n99) + n158*n229*n255*n304 + n238;
      n613 = pow(alpha, n0*n38)*n100*n40*n93/(n251*n279*n99) + pow(alpha, n0*n38)*n100*n59*n88/(n251*n279*n99) + n229*n255*n63*n93/n279 + n241;
      n614 = pow(alpha, n0*n38)*n100*n25*n311*n40/(n251*n99) + pow(alpha, n0*n38)*n100*n40*n42/(n251*n262*n99) + n202*n88 + n229*n25*n255*n311*n63;
      n615 = n184*(pow(alpha, n0*n38 - n258*n8)*n100*n25*n40*n8/(n251*n99) + pow(alpha, n0*n38 - n258*n8)*n100*n40*n45/(n251*n99) + n229*n25*n255*n305*n63 + n45*n70*n88)/n381;
      n616 = n176*n86*(pow(alpha, n0*n38 - n258*n7)*n100*n153/(n251*n99) + pow(alpha, n0*n38 - n258*n7)*n100*n25*n40*n7/(n251*n99) + n229*n25*n255*n292*n63 + n44*n69*n88)/n380;
      n617 = n615*n86;
      n618 = n149*n86*(pow(alpha, n0*n38 - n10*n258)*n10*n100*n25*n40/(n251*n99) + pow(alpha, n0*n38 - n10*n258)*n100*n40*n47/(n251*n99) + n229*n25*n255*n308*n63 + n47*n72*n88)/n383;
      n619 = n152*n86*(pow(alpha, n0*n38 - n12*n258)*n100*n12*n25*n40/(n251*n99) + pow(alpha, n0*n38 - n12*n258)*n100*n171/(n251*n99) + n12*n229*n25*n255*n63/n269 + n49*n74*n88)/n385;
      n620 = n109*n86*xF[19]*(pow(alpha, n0*n38 - n13*n258)*n100*n13*n25*n40/(n251*n99) + pow(alpha, n0*n38 - n13*n258)*n100*n40*n50/(n251*n99) + n207*n88 + n229*n25*n255*n296*n63)/n386;
      n621 = n170*n86*(pow(alpha, n0*n38 - n15*n258)*n100*n15*n25*n40/(n251*n99) + pow(alpha, n0*n38 - n15*n258)*n100*n181/(n251*n99) + n229*n25*n255*n316*n63 + n52*n77*n88)/n388;
      n622 = n455*n86*(pow(alpha, n0*n38 - n17*n258)*n100*n148*n25/(n251*n99) + pow(alpha, n0*n38 - n17*n258)*n100*n40*n54/(n251*n99) + n148*n229*n25*n460*n63 + n208*n88);
      n623 = n142*n441*n97*(pow(alpha, n0*n38 - n258*n4)*n0*n100*n4*n40/(n251*n99) + pow(alpha, n0*n38 - n258*n4)*n100*n41*n88/(n251*n99) + n158*n229*n255*n324 + n231);
      n624 = n139*n86*xF[12]*(pow(alpha, n0*n38 - n258*n6)*n0*n100*n40*n6/(n251*n99) + pow(alpha, n0*n38 - n258*n6)*n100*n43*n88/(n251*n99) + n158*n229*n255*n294 + n232)/n379;
      n625 = n142*n156*(pow(alpha, n0*n38 - n258*n9)*n0*n100*n40*n9/(n251*n99) + pow(alpha, n0*n38 - n258*n9)*n100*n46*n88/(n251*n99) + n158*n229*n255*n321 + n233)/n382;
      n626 = n107*n142*n440*(pow(alpha, n0*n38 - n11*n258)*n0*n100*n11*n40/(n251*n99) + pow(alpha, n0*n38 - n11*n258)*n100*n48*n88/(n251*n99) + n158*n229*n255*n302 + n234);
      n627 = n142*n454*(pow(alpha, n0*n38 - n14*n258)*n0*n100*n14*n40/(n251*n99) + pow(alpha, n0*n38 - n14*n258)*n100*n51*n88/(n251*n99) + n158*n229*n255*n314 + n235);
      n628 = n112*n142*n437*(pow(alpha, n0*n38 - n16*n258)*n0*n100*n16*n40/(n251*n99) + pow(alpha, n0*n38 - n16*n258)*n100*n53*n88/(n251*n99) + n158*n229*n255*n303 + n236);
      n629 = n142*n452*(pow(alpha, n0*n38 - n18*n258)*n100*n40*n94/(n251*n99) + pow(alpha, n0*n38 - n18*n258)*n100*n55*n88/(n251*n99) + n229*n255*n63*n94/n275 + n237);
      n630 = n115*n142*xF[6]*(pow(alpha, n0*n38 - n19*n258)*n0*n100*n19*n40/(n251*n99) + pow(alpha, n0*n38 - n19*n258)*n100*n56*n88/(n251*n99) + n158*n229*n255*n304 + n238)/n392;
      n631 = n142*n164*(pow(alpha, n0*n38 - n20*n258)*n0*n100*n20*n40/(n251*n99) + pow(alpha, n0*n38 - n20*n258)*n100*n57*n88/(n251*n99) + n158*n229*n255*n297 + n239)/n393;
      n632 = n142*n458*(pow(alpha, n0*n38 - n21*n258)*n0*n100*n21*n40/(n251*n99) + pow(alpha, n0*n38 - n21*n258)*n100*n58*n88/(n251*n99) + n158*n229*n255*n307 + n240);
      n633 = n142*n162*(pow(alpha, n0*n38 - n22*n258)*n100*n40*n93/(n251*n99) + pow(alpha, n0*n38 - n22*n258)*n100*n59*n88/(n251*n99) + n229*n255*n63*n93/n279 + n241)/n395;
      n634 = n495 + n599 + n601;
      n635 = xTj*(n109*n142*n562 + n115*n142*n560 + n139*n559*n86 + n142*n149*n547 + n142*n150*n548 + n142*n152*n550 + n142*n156*n555 + n142*n162*n551 + n142*n164*n557 + n142*n170*n549 + n142*n176*n553 + n142*n184*n554 + n142*n437*n544 + n142*n440*n546 + n142*n441*n545 + n142*n450*n538 + n142*n452*n512 + n142*n454*n508 + n142*n455*n511 + n142*n458*n515 + n143*n86*n89/n340 + n144*n448*n86 + n145*n86*n92/n354 + n200*n439*n86 + n201*n438*n86 + n203*n442*n86 + n204*n443*n86 + n206*n444*n86 + n209*n434*n86 + n210*n431*n86 + n211*n432*n86 + n212*n428*n86 + n215*n86*xF[15]/n342 + n217*n429*n86 + n219*n433*n86 + n222*n86*xF[3]/n349 + n223*n86*xF[4]/n350 + n224*n86*xF[5]/n351 + n225*n86*xF[6]/n352 + n449*n86*n90);
      n636 = n474 + n577 + n635;
      n637 = n475 + n476 + n477 + n478 + n479 + n480 + n481 + n482 + n483 + n484 + n485 + n486 + n487 + n488 + n489 + n490 + n491 + n492 + n493 + n494 + n579 + n580 + n581 + n582 + n583 + n584 + n585 + n586 + n587 + n588 + n589 + n590 + n591 + n592 + n593 + n594 + n595 + n596 + n597 + n598 + n600 + n616 + n617 + n618 + n619 + n620 + n621 + n622 + n623 + n624 + n625 + n626 + n627 + n628 + n629 + n630 + n631 + n632 + n633;
      n638 = n109*n142*n507*xF[19]*(n169*n61 + n229*n296*n61*n63/n249)/n406 + n139*n500*n86*xF[12]*(n229*n294*n61*n63/n249 + n6*n61*n68)/n399 + n142*n149*n504*(n182*n61 + n229*n308*n61*n63/n249)/n403 + n142*n150*n499*(n229*n311*n61*n63/n249 + n5*n61*n67)/n398 + n142*n152*n506*(n192*n61 + n229*n462*n61*n63)/n405 + n142*n156*n503*(n194*n61 + n229*n321*n61*n63/n249)/n402 + n142*n162*n516*(n185*n61 + n229*n463*n61*n63)/n415 + n142*n164*n514*(n193*n61 + n229*n297*n61*n63/n249)/n413 + n142*n170*n509*(n15*n61*n77 + n229*n316*n61*n63/n249)/n408 + n142*n176*n501*(n229*n292*n61*n63/n249 + n61*n69*n7)/n400 + n142*n184*n502*(n173*n61 + n229*n305*n61*n63/n249)/n401 + n142*n186*n512*(n18*n61*n80 + n229*n322*n61*n63/n249)/n411 + n142*n187*n508*(n188*n61 + n229*n314*n61*n63/n249)/n407 + n142*n197*n515*(n21*n61*n83 + n229*n307*n61*n63/n249)/n414 + n142*n451*n539*(n17*n61*n79 + n229*n318*n61*n63/n249) + n142*n453*n513*(n157*n61 + n229*n304*n61*n63/n249) + n142*n456*n505*(n161*n61 + n229*n302*n61*n63/n249) + n142*n459*n498*(n163*n61 + n229*n324*n61*n63/n249) + n142*n538*n572*n96 + n142*n544*xF[3]*(n154*n61 + n229*n303*n61*n63/n249)/n409 + n150*n86*(pow(alpha, n0*n38 - n258*n5)*n100*n25*n40*n5/(n251*n99) + pow(alpha, n0*n38 - n258*n5)*n100*n40*n42/(n251*n99) + n202*n88 + n229*n25*n255*n311*n63)/n378 + n637;
      NP_b = -n209*n450*n496*n86*xF[0] - n38*(1.0*n209*n86*xF[0]*(pow(alpha, -n0*n258 + n62)*n0*n1*n229/n249 + n209)/n376 + 0.5*n450*n86*xF[0]*(pow(alpha, -n0*n258 + n62)*n229*n39*n88/n249 + n205*n88) + n495 - 1.0*n573*n86*xF[0] - 0.5*xTj*(n107*n142*n440*(pow(alpha, n0*n38 - n11*n258)*n0*n100*n11*n40/(n251*n99) + pow(alpha, n0*n38 - n11*n258)*n100*n48*n88/(n251*n99) + pow(alpha, -n11*n258 + n62)*n0*n11*n229*n255 + n234) + n109*n86*xF[19]*(pow(alpha, n0*n38 - n13*n258)*n100*n13*n25*n40/(n251*n99) + pow(alpha, n0*n38 - n13*n258)*n100*n40*n50/(n251*n99) + pow(alpha, -n13*n258 + n62)*n13*n229*n25*n255 + n207*n88)/n386 + n112*n142*n437*(pow(alpha, n0*n38 - n16*n258)*n0*n100*n16*n40/(n251*n99) + pow(alpha, n0*n38 - n16*n258)*n100*n53*n88/(n251*n99) + pow(alpha, -n16*n258 + n62)*n0*n16*n229*n255 + n236) + n115*n142*xF[6]*(pow(alpha, n0*n38 - n19*n258)*n0*n100*n19*n40/(n251*n99) + pow(alpha, n0*n38 - n19*n258)*n100*n56*n88/(n251*n99) + pow(alpha, -n19*n258 + n62)*n0*n19*n229*n255 + n238)/n392 + n139*n86*xF[12]*(pow(alpha, n0*n38 - n258*n6)*n0*n100*n40*n6/(n251*n99) + pow(alpha, n0*n38 - n258*n6)*n100*n43*n88/(n251*n99) + pow(alpha, -n258*n6 + n62)*n0*n229*n255*n6 + n232)/n379 + n142*n150*(pow(alpha, n0*n38 - n258*n5)*n0*n100*n40*n5/(n251*n99) + pow(alpha, n0*n38 - n258*n5)*n100*n42*n88/(n251*n99) + pow(alpha, -n258*n5 + n62)*n0*n229*n255*n5 + n202*n40)/n378 + n142*n156*(pow(alpha, n0*n38 - n258*n9)*n0*n100*n40*n9/(n251*n99) + pow(alpha, n0*n38 - n258*n9)*n100*n46*n88/(n251*n99) + pow(alpha, -n258*n9 + n62)*n0*n229*n255*n9 + n233)/n382 + n142*n162*(pow(alpha, n0*n38 - n22*n258)*n100*n40*n93/(n251*n99) + pow(alpha, n0*n38 - n22*n258)*n100*n59*n88/(n251*n99) + pow(alpha, -n22*n258 + n62)*n229*n255*n93 + n241)/n395 + n142*n164*(pow(alpha, n0*n38 - n20*n258)*n0*n100*n20*n40/(n251*n99) + pow(alpha, n0*n38 - n20*n258)*n100*n57*n88/(n251*n99) + pow(alpha, -n20*n258 + n62)*n0*n20*n229*n255 + n239)/n393 + n142*n441*n97*(pow(alpha, n0*n38 - n258*n4)*n0*n100*n4*n40/(n251*n99) + pow(alpha, n0*n38 - n258*n4)*n100*n41*n88/(n251*n99) + pow(alpha, -n258*n4 + n62)*n0*n229*n255*n4 + n231) + n142*n452*(pow(alpha, n0*n38 - n18*n258)*n100*n40*n94/(n251*n99) + pow(alpha, n0*n38 - n18*n258)*n100*n55*n88/(n251*n99) + pow(alpha, -n18*n258 + n62)*n229*n255*n94 + n237) + n142*n454*(pow(alpha, n0*n38 - n14*n258)*n0*n100*n14*n40/(n251*n99) + pow(alpha, n0*n38 - n14*n258)*n100*n51*n88/(n251*n99) + pow(alpha, -n14*n258 + n62)*n0*n14*n229*n255 + n235) + n142*n458*(pow(alpha, n0*n38 - n21*n258)*n0*n100*n21*n40/(n251*n99) + pow(alpha, n0*n38 - n21*n258)*n100*n58*n88/(n251*n99) + pow(alpha, -n21*n258 + n62)*n0*n21*n229*n255 + n240) + n149*n24*n569*n86 + n149*n86*(pow(alpha, n0*n38 - n10*n258)*n10*n100*n25*n40/(n251*n99) + pow(alpha, n0*n38 - n10*n258)*n100*n40*n47/(n251*n99) + pow(alpha, -n10*n258 + n62)*n10*n229*n25*n255 + n47*n72*n88)/n383 + n150*n24*n568*n86 + n152*n24*n558*n86 + n152*n86*(pow(alpha, n0*n38 - n12*n258)*n100*n12*n25*n40/(n251*n99) + pow(alpha, n0*n38 - n12*n258)*n100*n171/(n251*n99) + pow(alpha, -n12*n258 + n62)*n12*n229*n25*n255 + n49*n74*n88)/n385 + n156*n24*n563*n86 + n162*n24*n561*n86 + n164*n24*n565*n86 + n170*n24*n566*n86 + n170*n86*(pow(alpha, n0*n38 - n15*n258)*n100*n15*n25*n40/(n251*n99) + pow(alpha, n0*n38 - n15*n258)*n100*n181/(n251*n99) + pow(alpha, -n15*n258 + n62)*n15*n229*n25*n255 + n52*n77*n88)/n388 + n176*n24*n564*n86 + n176*n86*(pow(alpha, n0*n38 - n258*n7)*n100*n153/(n251*n99) + pow(alpha, n0*n38 - n258*n7)*n100*n25*n40*n7/(n251*n99) + pow(alpha, -n258*n7 + n62)*n229*n25*n255*n7 + n44*n69*n88)/n380 + n184*n24*n571*n86 + n184*n86*(pow(alpha, n0*n38 - n258*n8)*n100*n25*n40*n8/(n251*n99) + pow(alpha, n0*n38 - n258*n8)*n100*n40*n45/(n251*n99) + pow(alpha, -n258*n8 + n62)*n229*n25*n255*n8 + n45*n70*n88)/n381 + n186*n24*n567*n86 + n187*n24*n570*n86 + n24*n451*n531*n86*xF[4] + n24*n453*n533*n86 + n24*n456*n525*n86 + n24*n457*n520*n86 + n24*n459*n518*n86 + n24*n573*n86*xF[0] + n24*n574*n86 + n24*n575*n86 + n24*n576*n86 + n450*n86*xF[0]*(pow(alpha, -n0*n258 + n62)*n229*n39*n88/n249 + n205*n88) + n455*n86*(pow(alpha, n0*n38 - n17*n258)*n100*n148*n25/(n251*n99) + pow(alpha, n0*n38 - n17*n258)*n100*n40*n54/(n251*n99) + pow(alpha, -n17*n258 + n62)*n148*n229*n25/n249 + n208*n88) + n475 + n476 + n477 + n478 + n479 + n480 + n481 + n482 + n483 + n484 + n485 + n486 + n487 + n488 + n489 + n490 + n491 + n492 + n493 + n494 + n579 + n580 + n581 + n582 + n583 + n584 + n585 + n586 + n587 + n588 + n589 + n590 + n591 + n592 + n593 + n594 + n595 + n596 + n597 + n598)) - n474 - n86*xTj*(-n109*n562 - n115*n560 + n139*n559 + n143*n89/n340 + n144*n448 + n145*n92/n354 - n149*n547 - n150*n548 - n152*n550 - n156*n555 - n162*n551 + n164*n445*n514 - n170*n549 - n176*n553 - n184*n554 + n200*n439 + n201*n438 + n203*n442 + n204*n443 + n206*n444 + n209*n434 + n210*n431 + n211*n432 + n212*n428 + n215*xF[15]/n342 + n217*n429 + n219*n433 + n222*xF[3]/n349 + n223*xF[4]/n350 + n224*xF[5]/n351 + n225*xF[6]/n352 - n437*n544 - n440*n546 - n441*n545 + n449*n90 - n450*n538 - n452*n512 - n454*n508 - n455*n511 - n458*n515);
      NP_2a = -n86*(pow(alpha, n0*n38)*n33*n39*n40*pow(n496, -n24)*n96/n396 - 2.0*pow(alpha, n0*n38)*n39*n40*n496*xF[0]/n376 + n205*n450*n88*xF[0]*(n461*(-n26 + xPj*xTj)/n64 - 1) - 1.0*n244/n336 + 1.0*xTj*(-n107*n440*(pow(alpha, n0*n38 - n11*n258)*n0*n100*n11*n40/(n251*n99) + pow(alpha, n0*n38 - n11*n258)*n100*n48*n88/(n251*n99) + n158*n229*n255*n302 + n234) + n109*xF[19]*(pow(alpha, n0*n38 - n13*n258)*n100*n13*n25*n40/(n251*n99) + pow(alpha, n0*n38 - n13*n258)*n100*n40*n50/(n251*n99) + n207*n88 + n229*n25*n255*n296*n63)/n386 - n112*n437*(pow(alpha, n0*n38 - n16*n258)*n0*n100*n16*n40/(n251*n99) + pow(alpha, n0*n38 - n16*n258)*n100*n53*n88/(n251*n99) + n158*n229*n255*n303 + n236) - n115*xF[6]*(pow(alpha, n0*n38 - n19*n258)*n0*n100*n19*n40/(n251*n99) + pow(alpha, n0*n38 - n19*n258)*n100*n56*n88/(n251*n99) + n158*n229*n255*n304 + n238)/n392 + n12*n144*n61*(pow(alpha, -n12*n258 + n62)*n1*n12*n229/n249 + n218)/n385 + n139*xF[12]*(pow(alpha, n0*n38 - n258*n6)*n0*n100*n40*n6/(n251*n99) + pow(alpha, n0*n38 - n258*n6)*n100*n43*n88/(n251*n99) + n158*n229*n255*n294 + n232)/n379 + n143*n153/n340 + n143*n61*n7*(pow(alpha, -n258*n7 + n62)*n229*n89/n249 + n213)/n380 + n144*n171/n345 + n145*n174/n354 + n145*n21*n61*(pow(alpha, -n21*n258 + n62)*n229*n92/n249 + n227)/n394 + n147*n15*n61*(pow(alpha, -n15*n258 + n62)*n229*n90/n249 + n221)/n388 + n149*n24*n569 + n149*(pow(alpha, n0*n38 - n10*n258)*n10*n100*n25*n40/(n251*n99) + pow(alpha, n0*n38 - n10*n258)*n100*n40*n47/(n251*n99) + n229*n25*n255*n308*n63 + n47*n72*n88)/n383 + n150*n24*n568 + n150*(pow(alpha, n0*n38 - n258*n5)*n100*n25*n40*n5/(n251*n99) + pow(alpha, n0*n38 - n258*n5)*n100*n40*n42/(n251*n99) + n202*n88 + n229*n25*n255*n311*n63)/n378 + n152*n24*n558 + n152*(pow(alpha, n0*n38 - n12*n258)*n100*n12*n25*n40/(n251*n99) + pow(alpha, n0*n38 - n12*n258)*n100*n171/(n251*n99) + n12*n229*n25*n255*n63/n269 + n49*n74*n88)/n385 + n154*n437*n61*(pow(alpha, -n16*n258 + n62)*n1*n16*n229/n249 + n222) + n156*n24*n563 - n156*(pow(alpha, n0*n38 - n258*n9)*n0*n100*n40*n9/(n251*n99) + pow(alpha, n0*n38 - n258*n9)*n100*n46*n88/(n251*n99) + n158*n229*n255*n321 + n233)/n382 + n157*n61*xF[6]*(pow(alpha, -n19*n258 + n62)*n1*n19*n229/n249 + n225)/n392 + n162*n24*n561 - n162*(pow(alpha, n0*n38 - n22*n258)*n100*n40*n93/(n251*n99) + pow(alpha, n0*n38 - n22*n258)*n100*n59*n88/(n251*n99) + n229*n255*n63*n93/n279 + n241)/n395 + n163*n441*n61*(pow(alpha, -n258*n4 + n62)*n1*n229*n4/n249 + n210) + n164*n24*n565 + n164*n445*(pow(alpha, n0*n38 - n20*n258)*n0*n100*n20*n40/(n251*n99) + pow(alpha, n0*n38 - n20*n258)*n100*n57*n88/(n251*n99) + n158*n229*n255*n297 + n239) + n169*n61*xF[19]*(pow(alpha, -n13*n258 + n62)*n1*n13*n229/n249 + n219)/n386 + n170*n24*n566 + n170*(pow(alpha, n0*n38 - n15*n258)*n100*n15*n25*n40/(n251*n99) + pow(alpha, n0*n38 - n15*n258)*n100*n181/(n251*n99) + n229*n25*n255*n316*n63 + n52*n77*n88)/n388 + n176*n24*n564 + n176*(pow(alpha, n0*n38 - n258*n7)*n100*n153/(n251*n99) + pow(alpha, n0*n38 - n258*n7)*n100*n25*n40*n7/(n251*n99) + n229*n25*n255*n292*n63 + n44*n69*n88)/n380 + n18*n61*n80*xF[5]*(pow(alpha, -n18*n258 + n62)*n229*n87/n249 + n224)/n391 + n181*n449 + n184*n24*n571 + n186*n24*n567 + n187*n24*n570 + n194*n61*xF[15]*(pow(alpha, -n258*n9 + n62)*n229*n91/n249 + n215)/n382 + n200*n61*(pow(alpha, -n258*n8 + n62)*n1*n229*n8/n249 + n214)/n381 + n202*n40*n432 + n203*n61*(pow(alpha, -n10*n258 + n62)*n1*n10*n229/n249 + n216)/n383 + n204*n61*(pow(alpha, -n22*n258 + n62)*n1*n22*n229/n249 + n228)/n395 + n206*n61*(pow(alpha, -n20*n258 + n62)*n1*n20*n229/n249 + n226)/n393 + n207*n40*n433 + n211*n30*(pow(alpha, -n258*n5 + n62)*n1*n229*n5/n249 + n211)/n378 + n212*n29*(pow(alpha, -n258*n6 + n62)*n1*n229*n6/n249 + n212)/n379 + n217*n36*(pow(alpha, -n11*n258 + n62)*n1*n11*n229/n249 + n217)/n384 + n220*n35*(pow(alpha, -n14*n258 + n62)*n1*n14*n229/n249 + n220)/n387 + n223*n28*(pow(alpha, -n17*n258 + n62)*n1*n17*n229/n249 + n223)/n390 + n231*n431 + n232*n428 + n233*xF[15]/n342 + n234*n429 + n237*xF[5]/n351 + n24*n25*n447*n63*xF[0]*(pow(alpha, n25*n258 + n62)*n0*n1*n229/n249 + n209) + n24*n451*n531*xF[4] + n24*n453*n533 + n24*n456*n525 + n24*n457*n520 + n24*n459*n518 + n24*n573*xF[0] + n24*n574 + n24*n575 + n24*n576 + n242*n436 + n243*n435 + n244/n336 + n245/n353 + n246/n352 + n247/n349 + n248/n350 - n441*n97*(pow(alpha, n0*n38 - n258*n4)*n0*n100*n4*n40/(n251*n99) + pow(alpha, n0*n38 - n258*n4)*n100*n41*n88/(n251*n99) + n158*n229*n255*n324 + n231) + n450*n543*xF[0] - n452*(pow(alpha, n0*n38 - n18*n258)*n100*n40*n94/(n251*n99) + pow(alpha, n0*n38 - n18*n258)*n100*n55*n88/(n251*n99) + n229*n255*n63*n94/n275 + n237) - n454*(pow(alpha, n0*n38 - n14*n258)*n0*n100*n14*n40/(n251*n99) + pow(alpha, n0*n38 - n14*n258)*n100*n51*n88/(n251*n99) + n158*n229*n255*n314 + n235) + n455*(pow(alpha, n0*n38 - n17*n258)*n100*n148*n25/(n251*n99) + pow(alpha, n0*n38 - n17*n258)*n100*n40*n54/(n251*n99) + n148*n229*n25*n460*n63 + n208*n88) - n458*(pow(alpha, n0*n38 - n21*n258)*n0*n100*n21*n40/(n251*n99) + pow(alpha, n0*n38 - n21*n258)*n100*n58*n88/(n251*n99) + n158*n229*n255*n307 + n240) + n466 + n467 + n615));
      NP_sqrt_base = (NP0*n636 + n142*n179/n356 + n32*(-n102*n86*xF[12]/(n102 - 1 + pow(alpha, -n6*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) - n107*n86*xF[17]/(n107 - 1 + pow(alpha, -n11*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) - n109*n86*xF[19]/(n109 - 1 + pow(alpha, -n13*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) - n112*n86*xF[3]/(n112 - 1 + pow(alpha, -n16*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) - n113*n86*xF[4]/(n113 - 1 + pow(alpha, -n17*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) - n115*n86*xF[6]/(n115 - 1 + pow(alpha, -n19*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) - n149*n86/(n106 - 1 + pow(alpha, -n10*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) - n150*n86/(n101 - 1 + pow(alpha, -n5*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) - n152*n86/(n108 - 1 + pow(alpha, -n12*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) - n156*n86/(n105 - 1 + pow(alpha, -n9*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) - n162*n86/(n118 - 1 + pow(alpha, -n22*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) - n164*n86/(n116 - 1 + pow(alpha, -n20*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) - n170*n86/(n111 - 1 + pow(alpha, -n15*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) - n176*n86/(n103 - 1 + pow(alpha, -n7*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) - n184*n86/(n104 - 1 + pow(alpha, -n8*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) - n186*n86/(n114 - 1 + pow(alpha, -n18*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) - n187*n86/(n110 - 1 + pow(alpha, -n14*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) - n197*n86/(n117 - 1 + pow(alpha, -n21*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) - n86*n96*xF[0]/(pow(alpha, n25*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)) + n96 - 1) - n86*n97*xF[10]/(n97 - 1 + pow(alpha, -n4*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)))) + pow(NP0, -n24)*(1.0*n209*n538*n86/n376 + 0.5*n475 - 0.5*n538*n572*n86*n96 + 0.5*n600 - 0.5*n638*xTj))*(n119*n31*n541*n86/n427 - 4.0*n209*n446*n86*(pow(alpha, n25*n259)*n0*n253/n250 + n0*n1*n63) + n24*n32*(n1*n24*n25*n63*n86*xF[0]*(n209 + pow(alpha, -n0*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n209*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)))*pow(n96 - 1 + pow(alpha, -n0*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24) + n12*n144*n61*n86*(n218 + pow(alpha, -n12*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n12*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)))*pow(n108 - 1 + pow(alpha, -n12*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24) + n121*n24*n86*xF[11]*pow(n211 + pow(alpha, -n5*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n5*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)), -n24)/pow(n101 - 1 + pow(alpha, -n5*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), 3) + n121*n86*xF[11]*pow(n101 - 1 + pow(alpha, -n5*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24)*(-pow(alpha, n0*n38)*pow(alpha, -n5*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n0*n40*n5*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) - pow(alpha, n0*n38)*pow(alpha, -n5*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n42*n88*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) - n202*n40 - pow(alpha, -n5*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n158*n40*n5*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1))) + n122*n142*xF[12]*pow(-n139 - 1 + pow(alpha, -n6*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24)*(pow(alpha, n0*n38)*pow(alpha, -n6*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n0*n40*n6*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) + pow(alpha, n0*n38)*pow(alpha, -n6*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n43*n88*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) + n232 + pow(alpha, -n6*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n158*n40*n6*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1))) + n122*n24*n86*xF[12]*pow(n212 + pow(alpha, -n6*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n6*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)), -n24)/pow(-n139 - 1 + pow(alpha, -n6*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), 3) + n142*n151*pow(n114 - 1 + pow(alpha, -n18*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24)*(pow(alpha, n0*n38)*pow(alpha, -n18*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n40*n94*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) + pow(alpha, n0*n38)*pow(alpha, -n18*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n55*n88*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) + n237 + pow(alpha, -n18*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n40*n63*n94*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1))) + n142*n165*pow(n112 - 1 + pow(alpha, -n16*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24)*(pow(alpha, n0*n38)*pow(alpha, -n16*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n0*n16*n40*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) + pow(alpha, n0*n38)*pow(alpha, -n16*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n53*n88*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) + n236 + pow(alpha, -n16*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n158*n16*n40*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1))) + n142*n166*pow(n107 - 1 + pow(alpha, -n11*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24)*(pow(alpha, n0*n38)*pow(alpha, -n11*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n0*n11*n40*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) + pow(alpha, n0*n38)*pow(alpha, -n11*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n48*n88*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) + n234 + pow(alpha, -n11*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n11*n158*n40*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1))) + n142*n167*pow(n116 - 1 + pow(alpha, -n20*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24)*(pow(alpha, n0*n38)*pow(alpha, -n20*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n0*n20*n40*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) + pow(alpha, n0*n38)*pow(alpha, -n20*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n57*n88*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) + n239 + pow(alpha, -n20*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n158*n20*n40*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1))) + n142*n172*pow(n110 - 1 + pow(alpha, -n14*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24)*(pow(alpha, n0*n38)*pow(alpha, -n14*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n0*n14*n40*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) + pow(alpha, n0*n38)*pow(alpha, -n14*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n51*n88*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) + n235 + pow(alpha, -n14*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n14*n158*n40*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1))) + n142*n175*pow(n118 - 1 + pow(alpha, -n22*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24)*(pow(alpha, n0*n38)*pow(alpha, -n22*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n40*n93*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) + pow(alpha, n0*n38)*pow(alpha, -n22*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n59*n88*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) + n241 + pow(alpha, -n22*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n40*n63*n93*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1))) + n142*n177*pow(n105 - 1 + pow(alpha, -n9*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24)*(pow(alpha, n0*n38)*pow(alpha, -n9*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n0*n40*n9*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) + pow(alpha, n0*n38)*pow(alpha, -n9*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n46*n88*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) + n233 + pow(alpha, -n9*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n158*n40*n9*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1))) + n142*n190*pow(n115 - 1 + pow(alpha, -n19*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24)*(pow(alpha, n0*n38)*pow(alpha, -n19*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n0*n19*n40*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) + pow(alpha, n0*n38)*pow(alpha, -n19*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n56*n88*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) + n238 + pow(alpha, -n19*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n158*n19*n40*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1))) + n142*n195*pow(n97 - 1 + pow(alpha, -n4*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24)*(pow(alpha, n0*n38)*pow(alpha, -n4*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n0*n4*n40*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) + pow(alpha, n0*n38)*pow(alpha, -n4*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n41*n88*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) + n231 + pow(alpha, -n4*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n158*n4*n40*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1))) + n142*n196*pow(n117 - 1 + pow(alpha, -n21*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24)*(pow(alpha, n0*n38)*pow(alpha, -n21*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n0*n21*n40*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) + pow(alpha, n0*n38)*pow(alpha, -n21*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n58*n88*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) + n240 + pow(alpha, -n21*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n158*n21*n40*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1))) + n143*n153*n86/(n103 - 1 + pow(alpha, -n7*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) + n143*n61*n7*n86*(n213 + pow(alpha, -n7*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n63*n89*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)))*pow(n103 - 1 + pow(alpha, -n7*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24) + n144*n171*n86/(n108 - 1 + pow(alpha, -n12*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) + n145*n174*n86/(n117 - 1 + pow(alpha, -n21*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) + n145*n21*n61*n86*(n227 + pow(alpha, -n21*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n63*n92*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)))*pow(n117 - 1 + pow(alpha, -n21*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24) + n147*n15*n61*n86*(n221 + pow(alpha, -n15*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n63*n90*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)))*pow(n111 - 1 + pow(alpha, -n15*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24) + n147*n181*n86/(n111 - 1 + pow(alpha, -n15*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) + n151*n24*n86*pow(n224 + pow(alpha, -n18*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n63*n87*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)), -n24)/pow(n114 - 1 + pow(alpha, -n18*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), 3) + n154*n61*n86*xF[3]*(n1*n16*n78 + pow(alpha, -n16*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n16*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)))*pow(n112 - 1 + pow(alpha, -n16*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24) + n155*n24*n86*pow(n216 + pow(alpha, -n10*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n10*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)), -n24)/pow(n106 - 1 + pow(alpha, -n10*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), 3) + n155*n86*pow(n106 - 1 + pow(alpha, -n10*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24)*(-pow(alpha, n0*n38)*pow(alpha, -n10*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n0*n10*n40*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) - pow(alpha, n0*n38)*pow(alpha, -n10*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n47*n88*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) - n243 - pow(alpha, -n10*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n10*n158*n40*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1))) + n157*n61*n86*xF[6]*(n1*n19*n81 + pow(alpha, -n19*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n19*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)))*pow(n115 - 1 + pow(alpha, -n19*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24) + n163*n61*n86*xF[10]*(n1*n4*n66 + pow(alpha, -n4*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n4*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)))*pow(n97 - 1 + pow(alpha, -n4*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24) + n165*n24*n86*pow(n222 + pow(alpha, -n16*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n16*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)), -n24)/pow(n112 - 1 + pow(alpha, -n16*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), 3) + n166*n24*n86*pow(n217 + pow(alpha, -n11*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n11*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)), -n24)/pow(n107 - 1 + pow(alpha, -n11*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), 3) + n167*n24*n86*pow(n226 + pow(alpha, -n20*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n20*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)), -n24)/pow(n116 - 1 + pow(alpha, -n20*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), 3) + n168*n24*n86*pow(n223 + pow(alpha, -n17*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n17*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)), -n24)/pow(n113 - 1 + pow(alpha, -n17*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), 3) + n168*n86*pow(n113 - 1 + pow(alpha, -n17*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24)*(-pow(alpha, n0*n38)*pow(alpha, -n17*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n0*n148*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) - pow(alpha, n0*n38)*pow(alpha, -n17*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n54*n88*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) - n208*n40 - pow(alpha, -n17*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n148*n158*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1))) + n169*n61*n86*xF[19]*(n1*n13*n75 + pow(alpha, -n13*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n13*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)))*pow(n109 - 1 + pow(alpha, -n13*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24) + n172*n24*n86*pow(n220 + pow(alpha, -n14*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n14*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)), -n24)/pow(n110 - 1 + pow(alpha, -n14*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), 3) + n175*n24*n86*pow(n228 + pow(alpha, -n22*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n22*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)), -n24)/pow(n118 - 1 + pow(alpha, -n22*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), 3) + n177*n24*n86*pow(n215 + pow(alpha, -n9*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n63*n91*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)), -n24)/pow(n105 - 1 + pow(alpha, -n9*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), 3) + n178*n24*n86*pow(n214 + pow(alpha, -n8*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n63*n8*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)), -n24)/pow(n104 - 1 + pow(alpha, -n8*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), 3) + n178*n86*pow(n104 - 1 + pow(alpha, -n8*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24)*(-pow(alpha, n0*n38)*pow(alpha, -n8*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n0*n40*n8*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) - pow(alpha, n0*n38)*pow(alpha, -n8*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n45*n88*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) - n242 - pow(alpha, -n8*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n158*n40*n8*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1))) + n179*n24*n86*pow(pow(alpha, n25*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n209*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + n209, -n24)/pow(n96 - 1 + pow(alpha, -n0*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), 3) + n179*n86*(-n205*n40 - pow(alpha, -n0*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n205*n40*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)))*pow(n96 - 1 + pow(alpha, -n0*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24) + n18*n61*n80*n86*xF[5]*(n224 + pow(alpha, -n18*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n63*n87*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)))*pow(n114 - 1 + pow(alpha, -n18*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24) + n183*n24*n86*pow(n221 + pow(alpha, -n15*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n63*n90*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)), -n24)/pow(n111 - 1 + pow(alpha, -n15*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), 3) + n183*n86*pow(n111 - 1 + pow(alpha, -n15*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24)*(-pow(alpha, n0*n38)*pow(alpha, -n15*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n0*n15*n40*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) - pow(alpha, n0*n38)*pow(alpha, -n15*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n52*n88*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) - n181*n77 - pow(alpha, -n15*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n15*n158*n40*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1))) + n189*n24*n86*pow(n213 + pow(alpha, -n7*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n63*n89*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)), -n24)/pow(n103 - 1 + pow(alpha, -n7*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), 3) + n189*n86*pow(n103 - 1 + pow(alpha, -n7*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24)*(-pow(alpha, n0*n38)*pow(alpha, -n7*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n0*n40*n7*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) - pow(alpha, n0*n38)*pow(alpha, -n7*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n44*n88*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) - n153*n69 - pow(alpha, -n7*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n158*n40*n7*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1))) + n190*n24*n86*pow(n225 + pow(alpha, -n19*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n19*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)), -n24)/pow(n115 - 1 + pow(alpha, -n19*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), 3) + n191*n24*n86*pow(n219 + pow(alpha, -n13*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n13*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)), -n24)/pow(n109 - 1 + pow(alpha, -n13*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), 3) + n191*n86*pow(n109 - 1 + pow(alpha, -n13*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24)*(-pow(alpha, n0*n38)*pow(alpha, -n13*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n0*n13*n40*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) - pow(alpha, n0*n38)*pow(alpha, -n13*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n50*n88*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) - n207*n40 - pow(alpha, -n13*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n13*n158*n40*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1))) + n194*n61*n86*xF[15]*(n215 + pow(alpha, -n9*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n63*n91*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)))*pow(n105 - 1 + pow(alpha, -n9*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24) + n195*n24*n86*pow(n210 + pow(alpha, -n4*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n4*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)), -n24)/pow(n97 - 1 + pow(alpha, -n4*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), 3) + n196*n24*n86*pow(n227 + pow(alpha, -n21*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n63*n92*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)), -n24)/pow(n117 - 1 + pow(alpha, -n21*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), 3) + n198*n24*n86*pow(n218 + pow(alpha, -n12*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n12*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)), -n24)/pow(n108 - 1 + pow(alpha, -n12*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), 3) + n198*n86*pow(n108 - 1 + pow(alpha, -n12*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24)*(-pow(alpha, n0*n38)*pow(alpha, -n12*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n40*n95*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) - pow(alpha, n0*n38)*pow(alpha, -n12*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n49*n88*pow(n26 + n34*xTj, -n24)*pow(n26 - xF[0]*xTj, n24)*pow(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1, n24) - n171*n74 - pow(alpha, -n12*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n40*n63*n95*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1))) + n200*n61*n86*(n1*n70*n8 + pow(alpha, -n8*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n63*n8*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)))*pow(n104 - 1 + pow(alpha, -n8*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24) + n202*n40*n86*xF[11]/(n101 - 1 + pow(alpha, -n5*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) + n203*n61*n86*(n1*n10*n72 + pow(alpha, -n10*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n10*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)))*pow(n106 - 1 + pow(alpha, -n10*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24) + n204*n61*n86*(n1*n22*n84 + pow(alpha, -n22*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n22*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)))*pow(n118 - 1 + pow(alpha, -n22*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24) + n206*n61*n86*(n1*n20*n82 + pow(alpha, -n20*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n20*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)))*pow(n116 - 1 + pow(alpha, -n20*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24) + n207*n40*n86*xF[19]/(n109 - 1 + pow(alpha, -n13*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) + n211*n30*n86*(n1*n5*n67 + pow(alpha, -n5*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n5*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)))*pow(n101 - 1 + pow(alpha, -n5*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24) + n212*n29*n86*(n1*n6*n68 + pow(alpha, -n6*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n6*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)))*pow(-n139 - 1 + pow(alpha, -n6*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24) + n217*n36*n86*(n1*n11*n73 + pow(alpha, -n11*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n11*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)))*pow(n107 - 1 + pow(alpha, -n11*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24) + n220*n35*n86*(n1*n14*n76 + pow(alpha, -n14*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n14*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)))*pow(n110 - 1 + pow(alpha, -n14*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24) + n223*n28*n86*(n1*n17*n79 + pow(alpha, -n17*(n146*(n254 - log(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))*n1*n17*n63*(n26 + n34*xTj)/((n26 - xF[0]*xTj)*(-n63*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)))*pow(n113 - 1 + pow(alpha, -n17*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)), n24) + n231*n86*xF[10]/(n97 - 1 + pow(alpha, -n4*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) + n232*n86*xF[12]/(-n139 - 1 + pow(alpha, -n6*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) + n233*n86*xF[15]/(n105 - 1 + pow(alpha, -n9*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) + n234*n86*xF[17]/(n107 - 1 + pow(alpha, -n11*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) + n235*n86*xF[1]/(n110 - 1 + pow(alpha, -n14*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) + n237*n86*xF[5]/(n114 - 1 + pow(alpha, -n18*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) + n241*n86*xF[9]/(n118 - 1 + pow(alpha, -n22*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) + n242*n86*xF[14]/(n104 - 1 + pow(alpha, -n8*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) + n243*n86*xF[16]/(n106 - 1 + pow(alpha, -n10*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) + n244*n86/(n96 - 1 + pow(alpha, -n0*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) + n245*n86/(n116 - 1 + pow(alpha, -n20*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) + n246*n86/(n115 - 1 + pow(alpha, -n19*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) + n247*n86/(n112 - 1 + pow(alpha, -n16*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1))) + n248*n86/(n113 - 1 + pow(alpha, -n17*(n146*(n254 - log(n140*(n26 + n34*xTj)/(n26 - xF[0]*xTj) + 1)) + 1)))) - 2.0*n244*n86/n356 - 2.0*n578*n86) + pow(-n38*(1.0*n209*n86*xF[0]*(pow(alpha, -n0*n258 + n62)*n0*n1*n229/n249 + n209)/n376 + 0.5*n450*n86*xF[0]*(pow(alpha, -n0*n258 + n62)*n229*n39*n88/n249 + n205*n88) + n495 - 0.5*xTj*(n107*n142*n440*(pow(alpha, n0*n38 - n11*n258)*n0*n100*n11*n40/(n251*n99) + pow(alpha, n0*n38 - n11*n258)*n100*n48*n88/(n251*n99) + pow(alpha, -n11*n258 + n62)*n0*n11*n229*n255 + n234) + n109*n142*xF[19]*(pow(alpha, -n13*n258 + n62)*n1*n13*n229/n249 + n219)*(pow(alpha, -n13*n258 + n62)*n13*n229*n61/n249 + n169*n61)/n406 + n109*n86*xF[19]*(pow(alpha, n0*n38 - n13*n258)*n100*n13*n25*n40/(n251*n99) + pow(alpha, n0*n38 - n13*n258)*n100*n40*n50/(n251*n99) + pow(alpha, -n13*n258 + n62)*n13*n229*n25*n255 + n207*n88)/n386 + n112*n142*n437*(pow(alpha, n0*n38 - n16*n258)*n0*n100*n16*n40/(n251*n99) + pow(alpha, n0*n38 - n16*n258)*n100*n53*n88/(n251*n99) + pow(alpha, -n16*n258 + n62)*n0*n16*n229*n255 + n236) + n112*n142*xF[3]*(pow(alpha, -n16*n258 + n62)*n1*n16*n229/n249 + n222)*(pow(alpha, -n16*n258 + n62)*n16*n229*n61/n249 + n154*n61)/n409 + n115*n142*xF[6]*(pow(alpha, n0*n38 - n19*n258)*n0*n100*n19*n40/(n251*n99) + pow(alpha, n0*n38 - n19*n258)*n100*n56*n88/(n251*n99) + pow(alpha, -n19*n258 + n62)*n0*n19*n229*n255 + n238)/n392 + n139*n86*xF[12]*(pow(alpha, -n258*n6 + n62)*n1*n229*n6/n249 + n212)*(pow(alpha, -n258*n6 + n62)*n229*n6*n61/n249 + n6*n61*n68)/n399 + n139*n86*xF[12]*(pow(alpha, n0*n38 - n258*n6)*n0*n100*n40*n6/(n251*n99) + pow(alpha, n0*n38 - n258*n6)*n100*n43*n88/(n251*n99) + pow(alpha, -n258*n6 + n62)*n0*n229*n255*n6 + n232)/n379 + n142*n149*(pow(alpha, -n10*n258 + n62)*n1*n10*n229/n249 + n216)*(pow(alpha, -n10*n258 + n62)*n10*n229*n61/n249 + n182*n61)/n403 + n142*n150*(pow(alpha, -n258*n5 + n62)*n1*n229*n5/n249 + n211)*(pow(alpha, -n258*n5 + n62)*n229*n5*n61/n249 + n5*n61*n67)/n398 + n142*n152*(pow(alpha, -n12*n258 + n62)*n1*n12*n229/n249 + n218)*(pow(alpha, -n12*n258 + n62)*n12*n229*n61/n249 + n192*n61)/n405 + n142*n156*(pow(alpha, -n258*n9 + n62)*n229*n91/n249 + n215)*(pow(alpha, -n258*n9 + n62)*n229*n61*n9/n249 + n194*n61)/n402 + n142*n156*(pow(alpha, n0*n38 - n258*n9)*n0*n100*n40*n9/(n251*n99) + pow(alpha, n0*n38 - n258*n9)*n100*n46*n88/(n251*n99) + pow(alpha, -n258*n9 + n62)*n0*n229*n255*n9 + n233)/n382 + n142*n162*(pow(alpha, -n22*n258 + n62)*n1*n22*n229/n249 + n228)*(pow(alpha, -n22*n258 + n62)*n22*n229*n61/n249 + n185*n61)/n415 + n142*n162*(pow(alpha, n0*n38 - n22*n258)*n100*n40*n93/(n251*n99) + pow(alpha, n0*n38 - n22*n258)*n100*n59*n88/(n251*n99) + pow(alpha, -n22*n258 + n62)*n229*n255*n93 + n241)/n395 + n142*n164*(pow(alpha, -n20*n258 + n62)*n1*n20*n229/n249 + n226)*(pow(alpha, -n20*n258 + n62)*n20*n229*n61/n249 + n193*n61)/n413 + n142*n164*(pow(alpha, n0*n38 - n20*n258)*n0*n100*n20*n40/(n251*n99) + pow(alpha, n0*n38 - n20*n258)*n100*n57*n88/(n251*n99) + pow(alpha, -n20*n258 + n62)*n0*n20*n229*n255 + n239)/n393 + n142*n170*(pow(alpha, -n15*n258 + n62)*n229*n90/n249 + n221)*(pow(alpha, -n15*n258 + n62)*n15*n229*n61/n249 + n15*n61*n77)/n408 + n142*n176*(pow(alpha, -n258*n7 + n62)*n229*n89/n249 + n213)*(pow(alpha, -n258*n7 + n62)*n229*n61*n7/n249 + n61*n69*n7)/n400 + n142*n184*(pow(alpha, -n258*n8 + n62)*n1*n229*n8/n249 + n214)*(pow(alpha, -n258*n8 + n62)*n229*n61*n8/n249 + n173*n61)/n401 + n142*n186*(pow(alpha, -n18*n258 + n62)*n229*n87/n249 + n224)*(pow(alpha, -n18*n258 + n62)*n18*n229*n61/n249 + n18*n61*n80)/n411 + n142*n187*(pow(alpha, -n14*n258 + n62)*n1*n14*n229/n249 + n220)*(pow(alpha, -n14*n258 + n62)*n14*n229*n61/n249 + n188*n61)/n407 + n142*n197*(pow(alpha, -n21*n258 + n62)*n229*n92/n249 + n227)*(pow(alpha, -n21*n258 + n62)*n21*n229*n61/n249 + n21*n61*n83)/n414 + n142*n441*n97*(pow(alpha, n0*n38 - n258*n4)*n0*n100*n4*n40/(n251*n99) + pow(alpha, n0*n38 - n258*n4)*n100*n41*n88/(n251*n99) + pow(alpha, -n258*n4 + n62)*n0*n229*n255*n4 + n231) + n142*n451*xF[4]*(pow(alpha, -n17*n258 + n62)*n1*n17*n229/n249 + n223)*(pow(alpha, -n17*n258 + n62)*n17*n229*n61/n249 + n17*n61*n79) + n142*n452*(pow(alpha, n0*n38 - n18*n258)*n100*n40*n94/(n251*n99) + pow(alpha, n0*n38 - n18*n258)*n100*n55*n88/(n251*n99) + pow(alpha, -n18*n258 + n62)*n229*n255*n94 + n237) + n142*n453*(pow(alpha, -n19*n258 + n62)*n1*n19*n229/n249 + n225)*(pow(alpha, -n19*n258 + n62)*n19*n229*n61/n249 + n157*n61) + n142*n454*(pow(alpha, n0*n38 - n14*n258)*n0*n100*n14*n40/(n251*n99) + pow(alpha, n0*n38 - n14*n258)*n100*n51*n88/(n251*n99) + pow(alpha, -n14*n258 + n62)*n0*n14*n229*n255 + n235) + n142*n456*(pow(alpha, -n11*n258 + n62)*n1*n11*n229/n249 + n217)*(pow(alpha, -n11*n258 + n62)*n11*n229*n61/n249 + n161*n61) + n142*n458*(pow(alpha, n0*n38 - n21*n258)*n0*n100*n21*n40/(n251*n99) + pow(alpha, n0*n38 - n21*n258)*n100*n58*n88/(n251*n99) + pow(alpha, -n21*n258 + n62)*n0*n21*n229*n255 + n240) + n142*n459*(pow(alpha, -n258*n4 + n62)*n1*n229*n4/n249 + n210)*(pow(alpha, -n258*n4 + n62)*n229*n4*n61/n249 + n163*n61) + n142*n96*xF[0]*(pow(alpha, -n0*n258 + n62)*n0*n1*n229/n249 + n209)*(pow(alpha, -n0*n258 + n62)*n1*n229*n24*n25/n249 + n1*n24*n25*n63)/n396 + n149*n86*(pow(alpha, n0*n38 - n10*n258)*n10*n100*n25*n40/(n251*n99) + pow(alpha, n0*n38 - n10*n258)*n100*n40*n47/(n251*n99) + pow(alpha, -n10*n258 + n62)*n10*n229*n25*n255 + n47*n72*n88)/n383 + n150*n86*(pow(alpha, n0*n38 - n258*n5)*n100*n25*n40*n5/(n251*n99) + pow(alpha, n0*n38 - n258*n5)*n100*n40*n42/(n251*n99) + pow(alpha, -n258*n5 + n62)*n229*n25*n255*n5 + n202*n88)/n378 + n152*n86*(pow(alpha, n0*n38 - n12*n258)*n100*n12*n25*n40/(n251*n99) + pow(alpha, n0*n38 - n12*n258)*n100*n171/(n251*n99) + pow(alpha, -n12*n258 + n62)*n12*n229*n25*n255 + n49*n74*n88)/n385 + n170*n86*(pow(alpha, n0*n38 - n15*n258)*n100*n15*n25*n40/(n251*n99) + pow(alpha, n0*n38 - n15*n258)*n100*n181/(n251*n99) + pow(alpha, -n15*n258 + n62)*n15*n229*n25*n255 + n52*n77*n88)/n388 + n176*n86*(pow(alpha, n0*n38 - n258*n7)*n100*n153/(n251*n99) + pow(alpha, n0*n38 - n258*n7)*n100*n25*n40*n7/(n251*n99) + pow(alpha, -n258*n7 + n62)*n229*n25*n255*n7 + n44*n69*n88)/n380 + n184*n86*(pow(alpha, n0*n38 - n258*n8)*n100*n25*n40*n8/(n251*n99) + pow(alpha, n0*n38 - n258*n8)*n100*n40*n45/(n251*n99) + pow(alpha, -n258*n8 + n62)*n229*n25*n255*n8 + n45*n70*n88)/n381 + n450*n86*xF[0]*(pow(alpha, -n0*n258 + n62)*n229*n39*n88/n249 + n205*n88) + n455*n86*(pow(alpha, n0*n38 - n17*n258)*n100*n148*n25/(n251*n99) + pow(alpha, n0*n38 - n17*n258)*n100*n40*n54/(n251*n99) + pow(alpha, -n17*n258 + n62)*n148*n229*n25/n249 + n208*n88) + n475 + n476 + n477 + n478 + n479 + n480 + n481 + n482 + n483 + n484 + n485 + n486 + n487 + n488 + n489 + n490 + n491 + n492 + n493 + n494 + n579 + n580 + n581 + n582 + n583 + n584 + n585 + n586 + n587 + n588 + n589 + n590 + n591 + n592 + n593 + n594 + n595 + n596 + n597 + n598) - 0.5*n86*n96*xF[0]*(pow(alpha, -n0*n258 + n62)*n0*n1*n229/n249 + n209)*(pow(alpha, -n0*n258 + n62)*n1*n229*n24*n25/n249 + n1*n24*n25*n63)/n396) - n636, -n24);
      NP_sqrt_base = fabs(NP_sqrt_base);
      NP1 = (-NP_b - sqrt(NP_sqrt_base))/NP_2a;
      NT1 = n146*(n254 - log(-pow(alpha, NP1*n0)*n229 + 1));
      g0 = MW[1] - Mstar;
      g1 = MW[0] - Mstar;
      g2 = NT1 + 1;
      g3 = xPj - xTj;
      g4 = MW[10] - Mstar;
      g5 = MW[11] - Mstar;
      g6 = MW[12] - Mstar;
      g7 = MW[13] - Mstar;
      g8 = MW[14] - Mstar;
      g9 = MW[15] - Mstar;
      g10 = MW[16] - Mstar;
      g11 = MW[17] - Mstar;
      g12 = MW[18] - Mstar;
      g13 = MW[19] - Mstar;
      g14 = MW[2] - Mstar;
      g15 = MW[3] - Mstar;
      g16 = MW[4] - Mstar;
      g17 = MW[5] - Mstar;
      g18 = MW[6] - Mstar;
      g19 = MW[7] - Mstar;
      g20 = MW[8] - Mstar;
      g21 = MW[9] - Mstar;
      g22 = xF[0] - xTj;
      g23 = xF[0] - xPj;
      g24 = -xTj;
      g25 = xPj/xF[1];
      g26 = pow(alpha, -g1);
      g27 = pow(alpha, -g4);
      g28 = pow(alpha, -g5);
      g29 = pow(alpha, -g6);
      g30 = pow(alpha, -g7);
      g31 = pow(alpha, -g8);
      g32 = pow(alpha, -g9);
      g33 = pow(alpha, -g10);
      g34 = pow(alpha, -g11);
      g35 = pow(alpha, -g12);
      g36 = pow(alpha, -g13);
      g37 = pow(alpha, -g0);
      g38 = pow(alpha, -g14);
      g39 = pow(alpha, -g15);
      g40 = pow(alpha, -g16);
      g41 = pow(alpha, -g17);
      g42 = pow(alpha, -g18);
      g43 = pow(alpha, -g19);
      g44 = pow(alpha, -g20);
      g45 = pow(alpha, -g21);
      g46 = log(xF[0]/xF[1]);
      g47 = -g2;
      g48 = pow(alpha, NP1*g0);
      g49 = pow(alpha, NP1*g1);
      g50 = pow(alpha, NP1*g4);
      g51 = log(g26);
      g52 = pow(alpha, NP1*g5);
      g53 = pow(alpha, NP1*g6);
      g54 = pow(alpha, NP1*g7);
      g55 = pow(alpha, NP1*g8);
      g56 = pow(alpha, NP1*g9);
      g57 = pow(alpha, NP1*g10);
      g58 = pow(alpha, NP1*g11);
      g59 = pow(alpha, NP1*g12);
      g60 = pow(alpha, NP1*g13);
      g61 = pow(alpha, NP1*g14);
      g62 = pow(alpha, NP1*g15);
      g63 = pow(alpha, NP1*g16);
      g64 = pow(alpha, NP1*g17);
      g65 = pow(alpha, NP1*g18);
      g66 = pow(alpha, NP1*g19);
      g67 = pow(alpha, NP1*g20);
      g68 = pow(alpha, NP1*g21);
      g69 = -g46;
      g70 = g22/g3;
      g71 = g3/g22;
      g72 = -g48 + 1;
      g73 = -g48 + 1;
      g74 = -g49 + 1;
      g75 = -g61 + 1;
      g76 = -g62 + 1;
      g77 = -g63 + 1;
      g78 = -g64 + 1;
      g79 = -g65 + 1;
      g80 = -g66 + 1;
      g81 = -g67 + 1;
      g82 = -g68 + 1;
      g83 = -g50 + 1;
      g84 = -g52 + 1;
      g85 = -g53 + 1;
      g86 = -g54 + 1;
      g87 = -g55 + 1;
      g88 = -g56 + 1;
      g89 = -g57 + 1;
      g90 = -g58 + 1;
      g91 = -g59 + 1;
      g92 = -g60 + 1;
      g93 = -g49;
      g94 = -g50;
      g95 = -g52;
      g96 = -g53;
      g97 = -g54;
      g98 = -g55;
      g99 = -g56;
      g100 = -g57;
      g101 = -g58;
      g102 = -g59;
      g103 = -g60;
      g104 = -g61;
      g105 = -g62;
      g106 = -g63;
      g107 = -g64;
      g108 = -g65;
      g109 = -g66;
      g110 = -g67;
      g111 = -g68;
      g112 = -1.0*g46;
      g113 = -g3/g23;
      g114 = g23/(g3*xF[1]);
      g115 = pow(alpha, g0*g47) - 1;
      g116 = pow(alpha, g0*g47) - 1;
      g117 = pow(alpha, g1*g47) - 1;
      g118 = pow(alpha, g14*g47) - 1;
      g119 = pow(alpha, g15*g47) - 1;
      g120 = pow(alpha, g16*g47) - 1;
      g121 = pow(alpha, g17*g47) - 1;
      g122 = pow(alpha, g18*g47) - 1;
      g123 = pow(alpha, g19*g47) - 1;
      g124 = pow(alpha, g20*g47) - 1;
      g125 = pow(alpha, g21*g47) - 1;
      g126 = pow(alpha, g4*g47) - 1;
      g127 = pow(alpha, g47*g5) - 1;
      g128 = pow(alpha, g47*g6) - 1;
      g129 = pow(alpha, g47*g7) - 1;
      g130 = pow(alpha, g47*g8) - 1;
      g131 = pow(alpha, g47*g9) - 1;
      g132 = pow(alpha, g10*g47) - 1;
      g133 = pow(alpha, g11*g47) - 1;
      g134 = pow(alpha, g12*g47) - 1;
      g135 = pow(alpha, g13*g47) - 1;
      g136 = -pow(alpha, g1*g47);
      g137 = -pow(alpha, g4*g47);
      g138 = -pow(alpha, g47*g5);
      g139 = -pow(alpha, g47*g6);
      g140 = -pow(alpha, g47*g7);
      g141 = -pow(alpha, g47*g8);
      g142 = -pow(alpha, g47*g9);
      g143 = -pow(alpha, g10*g47);
      g144 = -pow(alpha, g11*g47);
      g145 = -pow(alpha, g12*g47);
      g146 = -pow(alpha, g13*g47);
      g147 = -pow(alpha, g14*g47);
      g148 = -pow(alpha, g15*g47);
      g149 = -pow(alpha, g16*g47);
      g150 = -pow(alpha, g17*g47);
      g151 = -pow(alpha, g18*g47);
      g152 = -pow(alpha, g19*g47);
      g153 = -pow(alpha, g20*g47);
      g154 = -pow(alpha, g21*g47);
      g155 = g116 + g73;
      g156 = -g136 - g49;
      g157 = -g137 - g50;
      g158 = -g138 - g52;
      g159 = -g139 - g53;
      g160 = -g140 - g54;
      g161 = -g141 - g55;
      g162 = -g142 - g56;
      g163 = -g143 - g57;
      g164 = -g144 - g58;
      g165 = -g145 - g59;
      g166 = -g146 - g60;
      g167 = -g147 - g61;
      g168 = -g148 - g62;
      g169 = -g149 - g63;
      g170 = -g150 - g64;
      g171 = -g151 - g65;
      g172 = -g152 - g66;
      g173 = -g153 - g67;
      g174 = -g154 - g68;
      g175 = pow(alpha, g1*g47) + g93;
      g176 = g116 + g73;
      g177 = pow(alpha, g4*g47) + g94;
      g178 = pow(alpha, g47*g5) + g95;
      g179 = pow(alpha, g47*g6) + g96;
      g180 = pow(alpha, g47*g7) + g97;
      g181 = pow(alpha, g47*g8) + g98;
      g182 = pow(alpha, g47*g9) + g99;
      g183 = pow(alpha, g10*g47) + g100;
      g184 = pow(alpha, g11*g47) + g101;
      g185 = pow(alpha, g12*g47) + g102;
      g186 = pow(alpha, g13*g47) + g103;
      g187 = pow(alpha, g14*g47) + g104;
      g188 = pow(alpha, g15*g47) + g105;
      g189 = pow(alpha, g16*g47) + g106;
      g190 = pow(alpha, g17*g47) + g107;
      g191 = pow(alpha, g18*g47) + g108;
      g192 = pow(alpha, g19*g47) + g109;
      g193 = pow(alpha, g20*g47) + g110;
      g194 = pow(alpha, g21*g47) + g111;
      g195 = xF[9]/g194;
      g196 = xF[8]/g193;
      g197 = xF[11]/g178;
      g198 = xF[1]/g176;
      g199 = xF[3]/g188;
      g200 = xF[10]/g177;
      g201 = xF[19]/g186;
      g202 = xF[17]/g184;
      g203 = xF[15]/g182;
      g204 = xF[16]/g183;
      g205 = xF[7]/g192;
      g206 = xF[4]/g189;
      g207 = xF[12]/g179;
      g208 = xF[13]/g180;
      g209 = xF[6]/g191;
      g210 = xF[14]/g181;
      g211 = xF[2]/g187;
      g212 = xF[5]/g190;
      g213 = xF[18]/g185;
      g214 = xF[0]/g175;
      g215 = xF[17]/g164;
      g216 = xF[0]/g156;
      g217 = xF[9]/g174;
      g218 = xF[4]/g169;
      g219 = xF[15]/g162;
      g220 = xF[2]/g167;
      g221 = xF[11]/g158;
      g222 = xF[18]/g165;
      g223 = xF[1]/g155;
      g224 = xF[13]/g160;
      g225 = xF[16]/g163;
      g226 = xF[3]/g168;
      g227 = xF[6]/g171;
      g228 = xF[14]/g161;
      g229 = xF[8]/g173;
      g230 = xF[12]/g159;
      g231 = xF[19]/g166;
      g232 = xF[10]/g157;
      g233 = xF[7]/g172;
      g234 = xF[5]/g170;
      g235 = g85/g159;
      g236 = g82/g174;
      g237 = g90/g164;
      g238 = g77/g169;
      g239 = g80/g172;
      g240 = g75/g167;
      g241 = g78/g170;
      g242 = g91/g165;
      g243 = g79/g171;
      g244 = g86/g160;
      g245 = g76/g168;
      g246 = g88/g162;
      g247 = g89/g163;
      g248 = g84/g158;
      g249 = g92/g166;
      g250 = g87/g161;
      g251 = g83/g157;
      g252 = g74/g156;
      g253 = g81/g173;
      g254 = g72/g155;
      g255 = g117/g156;
      g256 = g131/g162;
      g257 = g127/g158;
      g258 = g118/g167;
      g259 = g119/g168;
      g260 = g120/g169;
      g261 = g133/g164;
      g262 = g115/g155;
      g263 = g124/g173;
      g264 = g125/g174;
      g265 = g132/g163;
      g266 = g122/g171;
      g267 = g130/g161;
      g268 = g128/g159;
      g269 = g129/g160;
      g270 = g134/g165;
      g271 = g123/g172;
      g272 = g126/g157;
      g273 = g121/g170;
      g274 = g135/g166;
      g275 = log(g114*g176*g24/g73);
      g276 = log(g114*g155*g24/g72);
      g277 = log(g176*g25*g70/g116);
      g278 = 1.0*g275;
      g279 = log(g155*g25*g70/g115);
      g280 = 1.0*g277;
      g281 = -g112*xF[0] - g112*xF[10] - g112*xF[11] - g112*xF[12] - g112*xF[13] - g112*xF[14] - g112*xF[15] - g112*xF[16] - g112*xF[17] - g112*xF[18] - g112*xF[19] - g112*xF[1] - g112*xF[2] - g112*xF[3] - g112*xF[4] - g112*xF[5] - g112*xF[6] - g112*xF[7] - g112*xF[8] - g112*xF[9] - g116*g198*g280 - g195*g278*(g111 + 1) - g195*g280*(pow(alpha, g21*g47) - 1) - g196*g278*(g110 + 1) - g196*g280*(pow(alpha, g20*g47) - 1) - g197*g278*(g95 + 1) - g197*g280*(pow(alpha, g47*g5) - 1) - g198*g278*g73 - g199*g278*(g105 + 1) - g199*g280*(pow(alpha, g15*g47) - 1) - g200*g278*(g94 + 1) - g200*g280*(pow(alpha, g4*g47) - 1) - g201*g278*(g103 + 1) - g201*g280*(pow(alpha, g13*g47) - 1) - g202*g278*(g101 + 1) - g202*g280*(pow(alpha, g11*g47) - 1) - g203*g278*(g99 + 1) - g203*g280*(pow(alpha, g47*g9) - 1) - g204*g278*(g100 + 1) - g204*g280*(pow(alpha, g10*g47) - 1) - g205*g278*(g109 + 1) - g205*g280*(pow(alpha, g19*g47) - 1) - g206*g278*(g106 + 1) - g206*g280*(pow(alpha, g16*g47) - 1) - g207*g278*(g96 + 1) - g207*g280*(pow(alpha, g47*g6) - 1) - g208*g278*(g97 + 1) - g208*g280*(pow(alpha, g47*g7) - 1) - g209*g278*(g108 + 1) - g209*g280*(pow(alpha, g18*g47) - 1) - g210*g278*(g98 + 1) - g210*g280*(pow(alpha, g47*g8) - 1) - g211*g278*(g104 + 1) - g211*g280*(pow(alpha, g14*g47) - 1) - g212*g278*(g107 + 1) - g212*g280*(pow(alpha, g17*g47) - 1) - g213*g278*(g102 + 1) - g213*g280*(pow(alpha, g12*g47) - 1) - g214*g278*(g93 + 1) - g214*g280*(pow(alpha, g1*g47) - 1);
      LpF = xF[0]*(g26 + 1.0)*(g252*g276 + g255*g279 + g69)/(g51*(g26 - 1.0)) + xF[10]*(g27 + 1.0)*(g251*g276 + g272*g279 + g69)/(g51*(g27 - 1.0)) + xF[11]*(g28 + 1.0)*(g248*g276 + g257*g279 + g69)/(g51*(g28 - 1.0)) + xF[12]*(g29 + 1.0)*(g235*g276 + g268*g279 + g69)/(g51*(g29 - 1.0)) + xF[13]*(g30 + 1.0)*(g244*g276 + g269*g279 + g69)/(g51*(g30 - 1.0)) + xF[14]*(g31 + 1.0)*(g250*g276 + g267*g279 + g69)/(g51*(g31 - 1.0)) + xF[15]*(g32 + 1.0)*(g246*g276 + g256*g279 + g69)/(g51*(g32 - 1.0)) + xF[16]*(g33 + 1.0)*(g247*g276 + g265*g279 + g69)/(g51*(g33 - 1.0)) + xF[17]*(g34 + 1.0)*(g237*g276 + g261*g279 + g69)/(g51*(g34 - 1.0)) + xF[18]*(g35 + 1.0)*(g242*g276 + g270*g279 + g69)/(g51*(g35 - 1.0)) + xF[19]*(g36 + 1.0)*(g249*g276 + g274*g279 + g69)/(g51*(g36 - 1.0)) + xF[1]*(g37 + 1.0)*(g254*g276 + g262*g279 + g69)/(g51*(g37 - 1.0)) + xF[2]*(g38 + 1.0)*(g240*g276 + g258*g279 + g69)/(g51*(g38 - 1.0)) + xF[3]*(g39 + 1.0)*(g245*g276 + g259*g279 + g69)/(g51*(g39 - 1.0)) + xF[4]*(g40 + 1.0)*(g238*g276 + g260*g279 + g69)/(g51*(g40 - 1.0)) + xF[5]*(g41 + 1.0)*(g241*g276 + g273*g279 + g69)/(g51*(g41 - 1.0)) + xF[6]*(g42 + 1.0)*(g243*g276 + g266*g279 + g69)/(g51*(g42 - 1.0)) + xF[7]*(g43 + 1.0)*(g239*g276 + g271*g279 + g69)/(g51*(g43 - 1.0)) + xF[8]*(g44 + 1.0)*(g253*g276 + g263*g279 + g69)/(g51*(g44 - 1.0)) + xF[9]*(g45 + 1.0)*(g236*g276 + g264*g279 + g69)/(g51*(g45 - 1.0));
      PpF = g70;
      TpF = -g23/g3;
      SWUpF = g281;
      SWUpP = g281*g71;
      xP[0] = g117*g216*g71;
      xP[1] = g115*g223*g71;
      xP[2] = g118*g220*g71;
      xP[3] = g119*g226*g71;
      xP[4] = g120*g218*g71;
      xP[5] = g121*g234*g71;
      xP[6] = g122*g227*g71;
      xP[7] = g123*g233*g71;
      xP[8] = g124*g229*g71;
      xP[9] = g125*g217*g71;
      xP[10] = g126*g232*g71;
      xP[11] = g127*g221*g71;
      xP[12] = g128*g230*g71;
      xP[13] = g129*g224*g71;
      xP[14] = g130*g228*g71;
      xP[15] = g131*g219*g71;
      xP[16] = g132*g225*g71;
      xP[17] = g133*g215*g71;
      xP[18] = g134*g222*g71;
      xP[19] = g135*g231*g71;
      xT[0] = g113*g216*g74;
      xT[1] = g113*g223*g72;
      xT[2] = g113*g220*g75;
      xT[3] = g113*g226*g76;
      xT[4] = g113*g218*g77;
      xT[5] = g113*g234*g78;
      xT[6] = g113*g227*g79;
      xT[7] = g113*g233*g80;
      xT[8] = g113*g229*g81;
      xT[9] = g113*g217*g82;
      xT[10] = g113*g232*g83;
      xT[11] = g113*g221*g84;
      xT[12] = g113*g230*g85;
      xT[13] = g113*g224*g86;
      xT[14] = g113*g228*g87;
      xT[15] = g113*g219*g88;
      xT[16] = g113*g225*g89;
      xT[17] = g113*g215*g90;
      xT[18] = g113*g222*g91;
      xT[19] = g113*g231*g92;
      break;
 
  };

  i = 2;
  casc.mat_prod.comp[j] = xP[0];
  casc.mat_prod.comp[k] = xP[1];
  casc.mat_tail.comp[j] = xT[0];
  casc.mat_tail.comp[k] = xT[1];
  for(pyne::comp_iter ci = casc.mat_feed.comp.begin(); ci != casc.mat_feed.comp.end(); ci++)
  {
    nuc = (*ci).first;
    if (nuc == j || nuc == k)
        continue;
    casc.mat_prod.comp[nuc] = xP[i];
    casc.mat_tail.comp[nuc] = xT[i];
    i++;
  };
  // must renormalize to eliminate numerical error
  casc.mat_prod.norm_comp();
  casc.mat_tail.norm_comp();
  casc.mat_prod.mass = PpF;
  casc.mat_tail.mass = TpF;

  casc.N = NP1;
  casc.M = NT1;
  casc.l_t_per_feed = LpF;
  casc.swu_per_feed = SWUpF;
  casc.swu_per_prod = SWUpP;

  delete [] MW;
  delete [] xP;
  delete [] xF;
  delete [] xT;

  return casc;
};
//
// end of src/enrichment_symbolic20.cpp
//


//
// start of src/_decay.cpp
//
#ifdef PYNE_DECAY_IS_DUMMY
// !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
// !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
//              WARNING
// This file has been auto generated
// Do not modify directly. You have
// been warned. This is that warning
// !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
// !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

#ifndef PYNE_IS_AMALGAMATED
#include "decay.h"
#endif

namespace pyne {
namespace decayers {

void decay_h(double t, std::map<int, double>::const_iterator &it, std::map<int, double> &outcomp, double (&out)[4]) {
  //using std::exp2;
  switch (it->first) {
    case 10010000: {
      out[0] += it->second;
      break;
    } case 10020000: {
      out[1] += it->second;
      break;
    } case 10030000: {
      double b0 = exp2(-2.572085e-09*t);
      out[2] += (it->second) * (b0);
      out[3] += (it->second) * (-1.000000e+00*b0 + 1.0);
      break;
    } default: {
      outcomp.insert(*it);
      break;
    }
  }
}

void decay_he(double t, std::map<int, double>::const_iterator &it, std::map<int, double> &outcomp, double (&out)[4]) {
  //using std::exp2;
  switch (it->first) {
    case 20030000: {
      out[3] += it->second;
      break;
    } default: {
      outcomp.insert(*it);
      break;
    }
  }
}

std::map<int, double> decay(std::map<int, double> comp, double t) {
  // setup
  using std::map;
  int nuc;
  int i = 0;
  double out [4] = {};  // init to zero
  map<int, double> outcomp;
  
  // body
  map<int, double>::const_iterator it = comp.begin();
  for (; it != comp.end(); ++it) {
    switch (nucname::znum(it->first)) {
      case 1:
        decay_h(t, it, outcomp, out);
        break;
      case 2:
        decay_he(t, it, outcomp, out);
        break;
      default:
        outcomp.insert(*it);
        break;
    }
  }
  
  // cleanup
  for (i = 0; i < 4; ++i)
    if (out[i] > 0.0)
      outcomp[all_nucs[i]] = out[i];
  return outcomp;
}

const int all_nucs [4] = {
  10010000, 10020000, 10030000, 20030000
};

}  // namespace decayers
}  // namespace pyne

#endif  // PYNE_DECAY_IS_DUMMY//
// end of src/_decay.cpp
//