text: """
  Galactic Chemical History model, West & Heger (2013)
  """
  
  import numpy as np
  import time
  
  import time2human
  from abuset import AbuSet
  from abumodel import AbuModel
  
  class GCHWH13(AbuModel):
      """
      Abundance Set from GCH model, West & Heger (2013)
      """
  
      version = '10000'
  
      x_matrix = np.array([
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,    0.74544689,  -0.024547203,-3.4823993e-06,  -0.015181207],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 2.1448666e-05,-7.7573288e-06,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 7.0623659e-06, 4.2801643e-06,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,   0.062124323,  0.0061814775,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 3.4437792e-11, 8.0354843e-11,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 4.1934782e-10, 7.0592861e-10, 2.7254960e-10,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 4.1601024e-12, 1.2480307e-11,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 2.5364186e-11, 7.6092559e-11,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 1.0260850e-10, 3.0782549e-10,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 2.1699131e-06,    0.84270575, 1.5015216e-06,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 4.7539074e-11,    0.80755803, 2.0885224e-08,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 2.6224408e-10,     1.1502195, 7.6986520e-08,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 7.1477479e-13,     1.3140914, 1.1026573e-10,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 4.0427458e-06,    0.81200864, 3.9610558e-06,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 9.9923119e-12,     1.2222222, 1.4081200e-10,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 6.9598906e-11,     2.2233841, 2.3871971e-12,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 9.6750242e-14,     1.1541551, 2.8610193e-11,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 6.8308629e-08,    0.88181493, 5.2051514e-07,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 7.2753854e-10,     1.0524664, 4.6618340e-10,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 2.3290110e-06,     1.4757008, 7.7851438e-10,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 7.9840390e-09,     1.1351746, 2.2791511e-09,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 3.5907560e-07,    0.95230763, 9.0537680e-08,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 1.4591625e-08,     1.3316965, 1.3073654e-09,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 1.0978213e-08,     1.3315470, 1.4419534e-09,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 1.6925104e-07,     1.2164607, 1.9484915e-09,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 6.3024614e-06,    0.97822329, 6.7610105e-08,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 3.3817352e-07,     1.3727782, 3.4802490e-10,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 3.5958651e-07,     1.2663590, 3.2942889e-10,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 3.9137770e-08,     1.1350613, 2.7263754e-10,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 2.3547256e-06,    0.93062183, 4.0383795e-08,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 1.9606260e-08,     1.0130872, 1.9534949e-10,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 1.8974550e-07,     1.1625374, 3.6555194e-10,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 9.4773879e-10,     1.7642990, 3.9125299e-14,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 8.7152380e-09,     1.0927288, 1.8214711e-10,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 3.9663537e-09,     1.1763202, 3.4651491e-11,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 4.5748209e-07,    0.96780730, 6.4007867e-09,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 1.0904618e-07,     1.1867747, 3.0218864e-10,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 2.4109803e-10,     2.1040131, 2.0202421e-15,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 4.8643154e-09,     1.0888599, 1.7227094e-10,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     1.0542697, 3.4848353e-13,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 4.1794477e-10,     1.0948682, 1.1886983e-11,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 4.7324899e-07,     1.0246690, 3.0828992e-09,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 2.0505402e-09,     1.1053346, 1.4857127e-11,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 3.7981079e-11,     1.4302271, 5.8244536e-13,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 1.9847972e-09,     1.3473845, 1.3892956e-11,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 6.2936691e-11,     2.2154399, 8.1051286e-18,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 9.7223353e-10,     3.6785127, 1.3554055e-18,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 3.0589663e-11,     1.2480859, 6.9071804e-13,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 1.9475762e-09,     1.2381970, 2.9054290e-12,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 2.5014408e-10,     1.4659471, 1.0342510e-12,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 1.3130901e-08,     1.1463034, 4.9901095e-11,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 1.2845397e-09,     1.1782341, 2.6813583e-12,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 3.4884194e-09,     1.4064561, 8.8434838e-17,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 3.4604606e-12,     1.4782236, 3.2432011e-15,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 3.2918681e-09,     1.1549896, 5.8326387e-12,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 1.1834918e-08,     1.0856217, 7.0493621e-12,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 1.6832234e-07,     1.0417590, 3.2447711e-10,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 2.4668962e-08,     1.0384317, 2.3293382e-11,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
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          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 2.1799988e-07,     1.0150555, 9.5705045e-11,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
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          [     0.0000000,     0.0000000,     0.0000000,     0.0000000, 6.8260309e-11,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     1.1326783, 7.2315420e-10,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000, 1.1665899e-09,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     2.3877858, 6.9135683e-14,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
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          [ 7.1285558e-11,     0.0000000,     0.0000000,     0.0000000, 1.6374708e-09,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     1.1102619, 1.4267119e-11,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [ 8.6224625e-11,     0.0000000,     0.0000000,     0.0000000, 3.2991110e-09,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     1.4048990, 3.5633370e-13,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [ 1.7152724e-11,     0.0000000,     0.0000000,     0.0000000, 1.1445551e-09,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     1.1108324, 2.6831969e-11,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [ 8.8567726e-11,     0.0000000,     0.0000000,     0.0000000, 2.6546095e-09,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     1.3976746, 2.2870059e-12,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [ 2.0246066e-11,     0.0000000,     0.0000000,     0.0000000, 5.8980984e-10,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     1.6125629, 7.8260601e-14,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [ 1.3226959e-10,     0.0000000,     0.0000000,     0.0000000, 3.4313298e-09,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     1.8231880, 8.4988788e-14,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [ 2.1868572e-13,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 2.1846703e-10,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
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          [ 2.1027132e-11,     0.0000000,     0.0000000,     0.0000000, 3.7571121e-10, 2.9080568e-26,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
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          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 4.4674383e-15,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 5.9387842e-13,     0.0000000,     0.0000000,     0.0000000, 3.9427203e-13,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 3.0424644e-13,     0.0000000,     0.0000000,     0.0000000, 2.2951924e-13,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 8.7300149e-13,     0.0000000,     0.0000000,     0.0000000, 2.6967062e-13,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 6.0845413e-13,     0.0000000,     0.0000000,     0.0000000, 4.5157048e-13,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 1.5838955e-13,     0.0000000,     0.0000000,     0.0000000, 4.0527433e-13,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 1.0372614e-13,     0.0000000,     0.0000000,     0.0000000, 9.1319684e-13,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 3.6630822e-15,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 2.9457085e-13,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 9.5121648e-14,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 1.3916813e-13,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 7.0065670e-13,     0.0000000,     0.0000000,     0.0000000, 1.7577879e-12,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 1.2888755e-13,     0.0000000,     0.0000000,     0.0000000, 2.8684974e-12,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 6.8242739e-13,     0.0000000,     0.0000000,     0.0000000, 4.1920540e-12,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 2.5739658e-13,     0.0000000,     0.0000000,     0.0000000, 7.3130910e-12,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 1.2942068e-13,     0.0000000,     0.0000000,     0.0000000, 6.6821942e-12,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 1.4902958e-13,     0.0000000,     0.0000000,     0.0000000, 1.1314784e-11,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 4.7599059e-15,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 2.1488937e-13,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 5.6435592e-14,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 6.8572073e-13,     0.0000000,     0.0000000,     0.0000000, 1.0742958e-11,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 2.6975310e-13,     0.0000000,     0.0000000,     0.0000000, 1.1458643e-11,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 1.0588147e-12,     0.0000000,     0.0000000,     0.0000000, 7.6917202e-12,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 2.4833696e-12,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 3.1231068e-13,     0.0000000,     0.0000000,     0.0000000, 4.9810906e-12,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 1.9118554e-14,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 1.2420086e-12,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 5.8445843e-13,     0.0000000,     0.0000000,     0.0000000, 1.5179100e-12,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 1.9424823e-12,     0.0000000,     0.0000000,     0.0000000, 9.3526924e-13,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 8.3266982e-13,     0.0000000,     0.0000000,     0.0000000, 8.0967696e-13,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 3.1292906e-12,     0.0000000,     0.0000000,     0.0000000, 5.9162570e-13,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 8.7248344e-14,     0.0000000,     0.0000000,     0.0000000, 7.6812758e-13,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 1.1572303e-12,     0.0000000,     0.0000000,     0.0000000, 3.0761817e-13,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000, 2.0840349e-12,     0.0000000,     0.0000000,     0.0000000, 1.4126679e-12,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000, 1.7960777e-12,     1.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000, 1.1014721e-11,     1.0000000,     0.0000000, 5.6995751e-12,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000, 1.0783171e-11,     1.0000000,     0.0000000, 7.7128342e-12,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000, 2.2394122e-11,     1.0000000,     0.0000000, 3.0547065e-11,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000, 2.1801668e-13,     1.0000000,     0.0000000, 3.5408916e-12,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 1.1959340e-12,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 1.3317127e-17,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 1.5715790e-13,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          [     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000, 4.8994462e-13,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000,     0.0000000],
          ]).transpose()
  
      def _abu_molfrac_raw(self, x):
          """
          raw Galactic Chemical History Model based on \\xi (here variable x)
          """
  
          # define the functions for scaling the solar decomposition
  
          f_matrix = np.ndarray((17))
          f_matrix[0] = x**1.227
          f_matrix[1] = x**1.509
          f_matrix[2] =  1
          # assure that the min contribution from strong s-process to be
          # zero (rather than negative)
          f_matrix[3] = max(0, -2.e-11 * (1 - (np.tanh(200 * x - 0.23) / np.tanh(200 - 0.23))))
          f_matrix[4] = x**1.230
          f_matrix[5] = x**0.938
          f_matrix[6] = x**0.938
          f_matrix[7] = x**((1.509 + 0.938) * 0.5)
          f_matrix[8] = x * ((np.tanh(5.024 * x - 2.722)) + np.tanh(2.722)) / (np.tanh(5.024-2.722) + np.tanh(2.722))
          f_matrix[9] = (np.log10(x) + 2.4983277)
          f_matrix[10]= 1
          f_matrix[11]= x**1.509
          f_matrix[12]= x**0.938
          f_matrix[13]= 1
          f_matrix[14]= x**0.938
          f_matrix[15]= 1
          f_matrix[16]= x
  
          # multiply the two matricies (sort of).
  
          # This gives the abundances at the user defined value of \xi
  
          vec = list(range(0,9)) + list(range(11,17))
          abu = np.dot(f_matrix[vec], self.x_matrix[vec,:])
  
          xvec = slice(9,76)
          v = np.log10(self.x_matrix[10, xvec])
          sne = 10.**(f_matrix[ 9] * self.x_matrix[ 9, xvec] +
                      f_matrix[10] * v)
          abu[xvec] += sne
  
          return abu
  
  
      def __init__(self, z, **kw):
          """
          Generate abundances set using z = Z/Z_sun, the scale relative
          to solar.
          """
  
          silent = True#kw.setdefault('silent', False)
          self.setup_logger(silent = silent)
  
          check = kw.get('check', False)
          if check:
              assert x_matrix.shape[1] == len(self.ions)
  
          super().__init__(z, **kw)
  
          self.comment = (
              "Version {:6s} - {:s}".format(self.version,time.asctime(time.gmtime())+' UTC'),
              "GCH abundances: {:g} solar".format(z),
              "X = {:8G}, Y = {:8G}, Z = {:8G}".format(*self.XYZ()))
          self.logger.info("X = {:8G}, Y = {:8G}, Z = {:8G}".format(*self.XYZ()))
          self.close_logger()
  