minimax_exp_k53.F File Reference

Go to the source code of this file.

Modules
module	minimax_exp_k53
	Routines to calculate the minimax coefficients in order to approximate 1/x as a sum over exponential functions 1/x ~ SUM_{i}^{K} w_i EXP(-a_i * x) for x belonging to [1:Rc]. This module contains coefficients for minimax approximations with 1 <= k <= 53. Generated from data from http://www.mis.mpg.de/scicomp/EXP_SUM/1_x See also https://doi.org/10.1007/s00791-018-00308-4 This module should not be modified manually and should not be used anywhere except in main minimax module. This file was created using the scripts in cp2k/tools/minimax_tools.

Functions/Subroutines
subroutine, public	minimax_exp_k53::get_minimax_coeff_low (i, aw)
	... More...

Variables
integer, parameter, public	minimax_exp_k53::n_approx = 1221
integer, parameter, public	minimax_exp_k53::k_max = 53
real(kind=dp), parameter, public	minimax_exp_k53::r_max = 4.0E+12_dp
integer, dimension(n_k+1), parameter, public	minimax_exp_k53::k_p = [1, 10, 23, 42, 64, 92, 121, 154, 183, 213, 246, 284, 323, 363, 406, 453, 501, 549, 597, 648, 699, 748, 797, 848, 902, 957, 1011, 1051, 1057, 1060, 1065, 1070, 1076, 1083, 1092, 1104, 1106, 1108, 1111, 1115, 1120, 1127, 1137, 1139, 1141, 1144, 1148, 1153, 1160, 1170, 1207, 1209, 1212, 1222]
integer, dimension(n_approx), parameter, public	minimax_exp_k53::k_mm = [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 28, 28, 28, 28, 28, 28, 29, 29, 29, 30, 30, 30, 30, 30, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 33, 33, 33, 33, 33, 33, 33, 34, 34, 34, 34, 34, 34, 34, 34, 34, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 36, 36, 37, 37, 38, 38, 38, 39, 39, 39, 39, 40, 40, 40, 40, 40, 41, 41, 41, 41, 41, 41, 41, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 43, 43, 44, 44, 45, 45, 45, 46, 46, 46, 46, 47, 47, 47, 47, 47, 48, 48, 48, 48, 48, 48, 48, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 51, 51, 52, 52, 52, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53]
real(kind=dp), dimension(n_approx), parameter, public	minimax_exp_k53::r_mm = [2.0E+00_dp, 3.0E+00_dp, 4.0E+00_dp, 5.0E+00_dp, 6.0E+00_dp, 7.0E+00_dp, 8.0E+00_dp, 9.0E+00_dp, 1.0E+01_dp, 2.0E+00_dp, 3.0E+00_dp, 4.0E+00_dp, 5.0E+00_dp, 6.0E+00_dp, 7.0E+00_dp, 8.0E+00_dp, 9.0E+00_dp, 1.0E+01_dp, 2.0E+01_dp, 3.0E+01_dp, 4.0E+01_dp, 5.0E+01_dp, 2.0E+00_dp, 3.0E+00_dp, 4.0E+00_dp, 5.0E+00_dp, 6.0E+00_dp, 7.0E+00_dp, 8.0E+00_dp, 9.0E+00_dp, 1.0E+01_dp, 2.0E+01_dp, 3.0E+01_dp, 4.0E+01_dp, 5.0E+01_dp, 6.0E+01_dp, 7.0E+01_dp, 8.0E+01_dp, 9.0E+01_dp, 1.0E+02_dp, 2.0E+02_dp, 2.0E+00_dp, 3.0E+00_dp, 4.0E+00_dp, 5.0E+00_dp, 6.0E+00_dp, 7.0E+00_dp, 8.0E+00_dp, 9.0E+00_dp, 1.0E+01_dp, 2.0E+01_dp, 3.0E+01_dp, 4.0E+01_dp, 5.0E+01_dp, 6.0E+01_dp, 7.0E+01_dp, 8.0E+01_dp, 9.0E+01_dp, 1.0E+02_dp, 2.0E+02_dp, 3.0E+02_dp, 4.0E+02_dp, 5.0E+02_dp, 2.0E+00_dp, 3.0E+00_dp, 4.0E+00_dp, 5.0E+00_dp, 6.0E+00_dp, 7.0E+00_dp, 8.0E+00_dp, 9.0E+00_dp, 1.0E+01_dp, 2.0E+01_dp, 3.0E+01_dp, 4.0E+01_dp, 5.0E+01_dp, 6.0E+01_dp, 7.0E+01_dp, 8.0E+01_dp, 9.0E+01_dp, 1.0E+02_dp, 2.0E+02_dp, 3.0E+02_dp, 4.0E+02_dp, 5.0E+02_dp, 6.0E+02_dp, 7.0E+02_dp, 8.0E+02_dp, 9.0E+02_dp, 1.0E+03_dp, 2.0E+03_dp, 2.0E+00_dp, 3.0E+00_dp, 4.0E+00_dp, 5.0E+00_dp, 6.0E+00_dp, 7.0E+00_dp, 8.0E+00_dp, 9.0E+00_dp, 1.0E+01_dp, 2.0E+01_dp, 3.0E+01_dp, 4.0E+01_dp, 5.0E+01_dp, 6.0E+01_dp, 7.0E+01_dp, 8.0E+01_dp, 9.0E+01_dp, 1.0E+02_dp, 2.0E+02_dp, 3.0E+02_dp, 4.0E+02_dp, 5.0E+02_dp, 6.0E+02_dp, 7.0E+02_dp, 8.0E+02_dp, 9.0E+02_dp, 1.0E+03_dp, 2.0E+03_dp, 3.0E+03_dp, 2.0E+00_dp, 3.0E+00_dp, 4.0E+00_dp, 5.0E+00_dp, 6.0E+00_dp, 7.0E+00_dp, 8.0E+00_dp, 9.0E+00_dp, 1.0E+01_dp, 2.0E+01_dp, 3.0E+01_dp, 4.0E+01_dp, 5.0E+01_dp, 6.0E+01_dp, 7.0E+01_dp, 8.0E+01_dp, 9.0E+01_dp, 1.0E+02_dp, 2.0E+02_dp, 3.0E+02_dp, 4.0E+02_dp, 5.0E+02_dp, 6.0E+02_dp, 7.0E+02_dp, 8.0E+02_dp, 9.0E+02_dp, 1.0E+03_dp, 2.0E+03_dp, 3.0E+03_dp, 4.0E+03_dp, 5.0E+03_dp, 6.0E+03_dp, 7.0E+03_dp, 1.0E+01_dp, 2.0E+01_dp, 3.0E+01_dp, 4.0E+01_dp, 5.0E+01_dp, 6.0E+01_dp, 7.0E+01_dp, 8.0E+01_dp, 9.0E+01_dp, 1.0E+02_dp, 2.0E+02_dp, 3.0E+02_dp, 4.0E+02_dp, 5.0E+02_dp, 6.0E+02_dp, 7.0E+02_dp, 8.0E+02_dp, 9.0E+02_dp, 1.0E+03_dp, 2.0E+03_dp, 3.0E+03_dp, 4.0E+03_dp, 5.0E+03_dp, 6.0E+03_dp, 7.0E+03_dp, 8.0E+03_dp, 9.0E+03_dp, 1.0E+04_dp, 2.0E+04_dp, 1.0E+01_dp, 2.0E+01_dp, 3.0E+01_dp, 4.0E+01_dp, 5.0E+01_dp, 6.0E+01_dp, 7.0E+01_dp, 8.0E+01_dp, 9.0E+01_dp, 1.0E+02_dp, 2.0E+02_dp, 3.0E+02_dp, 4.0E+02_dp, 5.0E+02_dp, 6.0E+02_dp, 7.0E+02_dp, 8.0E+02_dp, 9.0E+02_dp, 1.0E+03_dp, 2.0E+03_dp, 3.0E+03_dp, 4.0E+03_dp, 5.0E+03_dp, 6.0E+03_dp, 7.0E+03_dp, 8.0E+03_dp, 9.0E+03_dp, 1.0E+04_dp, 2.0E+04_dp, 3.0E+04_dp, 1.0E+01_dp, 2.0E+01_dp, 3.0E+01_dp, 4.0E+01_dp, 5.0E+01_dp, 6.0E+01_dp, 7.0E+01_dp, 8.0E+01_dp, 9.0E+01_dp, 1.0E+02_dp, 2.0E+02_dp, 3.0E+02_dp, 4.0E+02_dp, 5.0E+02_dp, 6.0E+02_dp, 7.0E+02_dp, 8.0E+02_dp, 9.0E+02_dp, 1.0E+03_dp, 2.0E+03_dp, 3.0E+03_dp, 4.0E+03_dp, 5.0E+03_dp, 6.0E+03_dp, 7.0E+03_dp, 8.0E+03_dp, 9.0E+03_dp, 1.0E+04_dp, 2.0E+04_dp, 3.0E+04_dp, 4.0E+04_dp, 5.0E+04_dp, 6.0E+04_dp, 1.0E+01_dp, 2.0E+01_dp, 3.0E+01_dp, 4.0E+01_dp, 5.0E+01_dp, 6.0E+01_dp, 7.0E+01_dp, 8.0E+01_dp, 9.0E+01_dp, 1.0E+02_dp, 2.0E+02_dp, 3.0E+02_dp, 4.0E+02_dp, 5.0E+02_dp, 6.0E+02_dp, 7.0E+02_dp, 8.0E+02_dp, 9.0E+02_dp, 1.0E+03_dp, 2.0E+03_dp, 3.0E+03_dp, 4.0E+03_dp, 5.0E+03_dp, 6.0E+03_dp, 7.0E+03_dp, 8.0E+03_dp, 9.0E+03_dp, 1.0E+04_dp, 2.0E+04_dp, 3.0E+04_dp, 4.0E+04_dp, 5.0E+04_dp, 6.0E+04_dp, 7.0E+04_dp, 8.0E+04_dp, 9.0E+04_dp, 1.0E+05_dp, 2.0E+05_dp, 1.0E+01_dp, 2.0E+01_dp, 3.0E+01_dp, 4.0E+01_dp, 5.0E+01_dp, 6.0E+01_dp, 7.0E+01_dp, 8.0E+01_dp, 9.0E+01_dp, 1.0E+02_dp, 2.0E+02_dp, 3.0E+02_dp, 4.0E+02_dp, 5.0E+02_dp, 6.0E+02_dp, 7.0E+02_dp, 8.0E+02_dp, 9.0E+02_dp, 1.0E+03_dp, 2.0E+03_dp, 3.0E+03_dp, 4.0E+03_dp, 5.0E+03_dp, 6.0E+03_dp, 7.0E+03_dp, 8.0E+03_dp, 9.0E+03_dp, 1.0E+04_dp, 2.0E+04_dp, 3.0E+04_dp, 4.0E+04_dp, 5.0E+04_dp, 6.0E+04_dp, 7.0E+04_dp, 8.0E+04_dp, 9.0E+04_dp, 1.0E+05_dp, 2.0E+05_dp, 3.0E+05_dp, 1.0E+01_dp, 2.0E+01_dp, 3.0E+01_dp, 4.0E+01_dp, 5.0E+01_dp, 6.0E+01_dp, 7.0E+01_dp, 8.0E+01_dp, 9.0E+01_dp, 1.0E+02_dp, 2.0E+02_dp, 3.0E+02_dp, 4.0E+02_dp, 5.0E+02_dp, 6.0E+02_dp, 7.0E+02_dp, 8.0E+02_dp, 9.0E+02_dp, 1.0E+03_dp, 2.0E+03_dp, 3.0E+03_dp, 4.0E+03_dp, 5.0E+03_dp, 6.0E+03_dp, 7.0E+03_dp, 8.0E+03_dp, 9.0E+03_dp, 1.0E+04_dp, 2.0E+04_dp, 3.0E+04_dp, 4.0E+04_dp, 5.0E+04_dp, 6.0E+04_dp, 7.0E+04_dp, 8.0E+04_dp, 9.0E+04_dp, 1.0E+05_dp, 2.0E+05_dp, 3.0E+05_dp, 4.0E+05_dp, 1.0E+01_dp, 2.0E+01_dp, 3.0E+01_dp, 4.0E+01_dp, 5.0E+01_dp, 6.0E+01_dp, 7.0E+01_dp, 8.0E+01_dp, 9.0E+01_dp, 1.0E+02_dp, 2.0E+02_dp, 3.0E+02_dp, 4.0E+02_dp, 5.0E+02_dp, 6.0E+02_dp, 7.0E+02_dp, 8.0E+02_dp, 9.0E+02_dp, 1.0E+03_dp, 2.0E+03_dp, 3.0E+03_dp, 4.0E+03_dp, 5.0E+03_dp, 6.0E+03_dp, 7.0E+03_dp, 8.0E+03_dp, 9.0E+03_dp, 1.0E+04_dp, 2.0E+04_dp, 3.0E+04_dp, 4.0E+04_dp, 5.0E+04_dp, 6.0E+04_dp, 7.0E+04_dp, 8.0E+04_dp, 9.0E+04_dp, 1.0E+05_dp, 2.0E+05_dp, 3.0E+05_dp, 4.0E+05_dp, 5.0E+05_dp, 6.0E+05_dp, 7.0E+05_dp, 1.0E+01_dp, 2.0E+01_dp, 3.0E+01_dp, 4.0E+01_dp, 5.0E+01_dp, 6.0E+01_dp, 7.0E+01_dp, 8.0E+01_dp, 9.0E+01_dp, 1.0E+02_dp, 2.0E+02_dp, 3.0E+02_dp, 4.0E+02_dp, 5.0E+02_dp, 6.0E+02_dp, 7.0E+02_dp, 8.0E+02_dp, 9.0E+02_dp, 1.0E+03_dp, 2.0E+03_dp, 3.0E+03_dp, 4.0E+03_dp, 5.0E+03_dp, 6.0E+03_dp, 7.0E+03_dp, 8.0E+03_dp, 9.0E+03_dp, 1.0E+04_dp, 2.0E+04_dp, 3.0E+04_dp, 4.0E+04_dp, 5.0E+04_dp, 6.0E+04_dp, 7.0E+04_dp, 8.0E+04_dp, 9.0E+04_dp, 1.0E+05_dp, 2.0E+05_dp, 3.0E+05_dp, 4.0E+05_dp, 5.0E+05_dp, 6.0E+05_dp, 7.0E+05_dp, 8.0E+05_dp, 9.0E+05_dp, 1.0E+06_dp, 2.0E+06_dp, 1.0E+01_dp, 2.0E+01_dp, 3.0E+01_dp, 4.0E+01_dp, 5.0E+01_dp, 6.0E+01_dp, 7.0E+01_dp, 8.0E+01_dp, 9.0E+01_dp, 1.0E+02_dp, 2.0E+02_dp, 3.0E+02_dp, 4.0E+02_dp, 5.0E+02_dp, 6.0E+02_dp, 7.0E+02_dp, 8.0E+02_dp, 9.0E+02_dp, 1.0E+03_dp, 2.0E+03_dp, 3.0E+03_dp, 4.0E+03_dp, 5.0E+03_dp, 6.0E+03_dp, 7.0E+03_dp, 8.0E+03_dp, 9.0E+03_dp, 1.0E+04_dp, 2.0E+04_dp, 3.0E+04_dp, 4.0E+04_dp, 5.0E+04_dp, 6.0E+04_dp, 7.0E+04_dp, 8.0E+04_dp, 9.0E+04_dp, 1.0E+05_dp, 2.0E+05_dp, 3.0E+05_dp, 4.0E+05_dp, 5.0E+05_dp, 6.0E+05_dp, 7.0E+05_dp, 8.0E+05_dp, 9.0E+05_dp, 1.0E+06_dp, 2.0E+06_dp, 3.0E+06_dp, 2.0E+01_dp, 3.0E+01_dp, 4.0E+01_dp, 5.0E+01_dp, 6.0E+01_dp, 7.0E+01_dp, 8.0E+01_dp, 9.0E+01_dp, 1.0E+02_dp, 2.0E+02_dp, 3.0E+02_dp, 4.0E+02_dp, 5.0E+02_dp, 6.0E+02_dp, 7.0E+02_dp, 8.0E+02_dp, 9.0E+02_dp, 1.0E+03_dp, 2.0E+03_dp, 3.0E+03_dp, 4.0E+03_dp, 5.0E+03_dp, 6.0E+03_dp, 7.0E+03_dp, 8.0E+03_dp, 9.0E+03_dp, 1.0E+04_dp, 2.0E+04_dp, 3.0E+04_dp, 4.0E+04_dp, 5.0E+04_dp, 6.0E+04_dp, 7.0E+04_dp, 8.0E+04_dp, 9.0E+04_dp, 1.0E+05_dp, 2.0E+05_dp, 3.0E+05_dp, 4.0E+05_dp, 5.0E+05_dp, 6.0E+05_dp, 7.0E+05_dp, 8.0E+05_dp, 9.0E+05_dp, 1.0E+06_dp, 2.0E+06_dp, 3.0E+06_dp, 4.0E+06_dp, 4.0E+01_dp, 5.0E+01_dp, 6.0E+01_dp, 7.0E+01_dp, 8.0E+01_dp, 9.0E+01_dp, 1.0E+02_dp, 2.0E+02_dp, 3.0E+02_dp, 4.0E+02_dp, 5.0E+02_dp, 6.0E+02_dp, 7.0E+02_dp, 8.0E+02_dp, 9.0E+02_dp, 1.0E+03_dp, 2.0E+03_dp, 3.0E+03_dp, 4.0E+03_dp, 5.0E+03_dp, 6.0E+03_dp, 7.0E+03_dp, 8.0E+03_dp, 9.0E+03_dp, 1.0E+04_dp, 2.0E+04_dp, 3.0E+04_dp, 4.0E+04_dp, 5.0E+04_dp, 6.0E+04_dp, 7.0E+04_dp, 8.0E+04_dp, 9.0E+04_dp, 1.0E+05_dp, 2.0E+05_dp, 3.0E+05_dp, 4.0E+05_dp, 5.0E+05_dp, 6.0E+05_dp, 7.0E+05_dp, 8.0E+05_dp, 9.0E+05_dp, 1.0E+06_dp, 2.0E+06_dp, 3.0E+06_dp, 4.0E+06_dp, 5.0E+06_dp, 6.0E+06_dp, 5.0E+01_dp, 6.0E+01_dp, 7.0E+01_dp, 8.0E+01_dp, 9.0E+01_dp, 1.0E+02_dp, 2.0E+02_dp, 3.0E+02_dp, 4.0E+02_dp, 5.0E+02_dp, 6.0E+02_dp, 7.0E+02_dp, 8.0E+02_dp, 9.0E+02_dp, 1.0E+03_dp, 2.0E+03_dp, 3.0E+03_dp, 4.0E+03_dp, 5.0E+03_dp, 6.0E+03_dp, 7.0E+03_dp, 8.0E+03_dp, 9.0E+03_dp, 1.0E+04_dp, 2.0E+04_dp, 3.0E+04_dp, 4.0E+04_dp, 5.0E+04_dp, 6.0E+04_dp, 7.0E+04_dp, 8.0E+04_dp, 9.0E+04_dp, 1.0E+05_dp, 2.0E+05_dp, 3.0E+05_dp, 4.0E+05_dp, 5.0E+05_dp, 6.0E+05_dp, 7.0E+05_dp, 8.0E+05_dp, 9.0E+05_dp, 1.0E+06_dp, 2.0E+06_dp, 3.0E+06_dp, 4.0E+06_dp, 5.0E+06_dp, 6.0E+06_dp, 7.0E+06_dp, 8.0E+06_dp, 9.0E+06_dp, 1.0E+07_dp, 6.0E+01_dp, 7.0E+01_dp, 8.0E+01_dp, 9.0E+01_dp, 1.0E+02_dp, 2.0E+02_dp, 3.0E+02_dp, 4.0E+02_dp, 5.0E+02_dp, 6.0E+02_dp, 7.0E+02_dp, 8.0E+02_dp, 9.0E+02_dp, 1.0E+03_dp, 2.0E+03_dp, 3.0E+03_dp, 4.0E+03_dp, 5.0E+03_dp, 6.0E+03_dp, 7.0E+03_dp, 8.0E+03_dp, 9.0E+03_dp, 1.0E+04_dp, 2.0E+04_dp, 3.0E+04_dp, 4.0E+04_dp, 5.0E+04_dp, 6.0E+04_dp, 7.0E+04_dp, 8.0E+04_dp, 9.0E+04_dp, 1.0E+05_dp, 2.0E+05_dp, 3.0E+05_dp, 4.0E+05_dp, 5.0E+05_dp, 6.0E+05_dp, 7.0E+05_dp, 8.0E+05_dp, 9.0E+05_dp, 1.0E+06_dp, 2.0E+06_dp, 3.0E+06_dp, 4.0E+06_dp, 5.0E+06_dp, 6.0E+06_dp, 7.0E+06_dp, 8.0E+06_dp, 9.0E+06_dp, 1.0E+07_dp, 2.0E+07_dp, 9.0E+01_dp, 1.0E+02_dp, 2.0E+02_dp, 3.0E+02_dp, 4.0E+02_dp, 5.0E+02_dp, 6.0E+02_dp, 7.0E+02_dp, 8.0E+02_dp, 9.0E+02_dp, 1.0E+03_dp, 2.0E+03_dp, 3.0E+03_dp, 4.0E+03_dp, 5.0E+03_dp, 6.0E+03_dp, 7.0E+03_dp, 8.0E+03_dp, 9.0E+03_dp, 1.0E+04_dp, 2.0E+04_dp, 3.0E+04_dp, 4.0E+04_dp, 5.0E+04_dp, 6.0E+04_dp, 7.0E+04_dp, 8.0E+04_dp, 9.0E+04_dp, 1.0E+05_dp, 2.0E+05_dp, 3.0E+05_dp, 4.0E+05_dp, 5.0E+05_dp, 6.0E+05_dp, 7.0E+05_dp, 8.0E+05_dp, 9.0E+05_dp, 1.0E+06_dp, 2.0E+06_dp, 3.0E+06_dp, 4.0E+06_dp, 5.0E+06_dp, 6.0E+06_dp, 7.0E+06_dp, 8.0E+06_dp, 9.0E+06_dp, 1.0E+07_dp, 2.0E+07_dp, 3.0E+07_dp, 1.0E+02_dp, 2.0E+02_dp, 3.0E+02_dp, 4.0E+02_dp, 5.0E+02_dp, 6.0E+02_dp, 7.0E+02_dp, 8.0E+02_dp, 9.0E+02_dp, 1.0E+03_dp, 2.0E+03_dp, 3.0E+03_dp, 4.0E+03_dp, 5.0E+03_dp, 6.0E+03_dp, 7.0E+03_dp, 8.0E+03_dp, 9.0E+03_dp, 1.0E+04_dp, 2.0E+04_dp, 3.0E+04_dp, 4.0E+04_dp, 5.0E+04_dp, 6.0E+04_dp, 7.0E+04_dp, 8.0E+04_dp, 9.0E+04_dp, 1.0E+05_dp, 2.0E+05_dp, 3.0E+05_dp, 4.0E+05_dp, 5.0E+05_dp, 6.0E+05_dp, 7.0E+05_dp, 8.0E+05_dp, 9.0E+05_dp, 1.0E+06_dp, 2.0E+06_dp, 3.0E+06_dp, 4.0E+06_dp, 5.0E+06_dp, 6.0E+06_dp, 7.0E+06_dp, 8.0E+06_dp, 9.0E+06_dp, 1.0E+07_dp, 2.0E+07_dp, 3.0E+07_dp, 4.0E+07_dp, 2.0E+02_dp, 3.0E+02_dp, 4.0E+02_dp, 5.0E+02_dp, 6.0E+02_dp, 7.0E+02_dp, 8.0E+02_dp, 9.0E+02_dp, 1.0E+03_dp, 2.0E+03_dp, 3.0E+03_dp, 4.0E+03_dp, 5.0E+03_dp, 6.0E+03_dp, 7.0E+03_dp, 8.0E+03_dp, 9.0E+03_dp, 1.0E+04_dp, 2.0E+04_dp, 3.0E+04_dp, 4.0E+04_dp, 5.0E+04_dp, 6.0E+04_dp, 7.0E+04_dp, 8.0E+04_dp, 9.0E+04_dp, 1.0E+05_dp, 2.0E+05_dp, 3.0E+05_dp, 4.0E+05_dp, 5.0E+05_dp, 6.0E+05_dp, 7.0E+05_dp, 8.0E+05_dp, 9.0E+05_dp, 1.0E+06_dp, 2.0E+06_dp, 3.0E+06_dp, 4.0E+06_dp, 5.0E+06_dp, 6.0E+06_dp, 7.0E+06_dp, 8.0E+06_dp, 9.0E+06_dp, 1.0E+07_dp, 2.0E+07_dp, 3.0E+07_dp, 4.0E+07_dp, 5.0E+07_dp, 6.0E+07_dp, 7.0E+07_dp, 2.0E+02_dp, 3.0E+02_dp, 4.0E+02_dp, 5.0E+02_dp, 6.0E+02_dp, 7.0E+02_dp, 8.0E+02_dp, 9.0E+02_dp, 1.0E+03_dp, 2.0E+03_dp, 3.0E+03_dp, 4.0E+03_dp, 5.0E+03_dp, 6.0E+03_dp, 7.0E+03_dp, 8.0E+03_dp, 9.0E+03_dp, 1.0E+04_dp, 2.0E+04_dp, 3.0E+04_dp, 4.0E+04_dp, 5.0E+04_dp, 6.0E+04_dp, 7.0E+04_dp, 8.0E+04_dp, 9.0E+04_dp, 1.0E+05_dp, 2.0E+05_dp, 3.0E+05_dp, 4.0E+05_dp, 5.0E+05_dp, 6.0E+05_dp, 7.0E+05_dp, 8.0E+05_dp, 9.0E+05_dp, 1.0E+06_dp, 2.0E+06_dp, 3.0E+06_dp, 4.0E+06_dp, 5.0E+06_dp, 6.0E+06_dp, 7.0E+06_dp, 8.0E+06_dp, 9.0E+06_dp, 1.0E+07_dp, 2.0E+07_dp, 3.0E+07_dp, 4.0E+07_dp, 5.0E+07_dp, 6.0E+07_dp, 7.0E+07_dp, 8.0E+07_dp, 9.0E+07_dp, 1.0E+08_dp, 2.0E+02_dp, 3.0E+02_dp, 4.0E+02_dp, 5.0E+02_dp, 6.0E+02_dp, 7.0E+02_dp, 8.0E+02_dp, 9.0E+02_dp, 1.0E+03_dp, 2.0E+03_dp, 3.0E+03_dp, 4.0E+03_dp, 5.0E+03_dp, 6.0E+03_dp, 7.0E+03_dp, 8.0E+03_dp, 9.0E+03_dp, 1.0E+04_dp, 2.0E+04_dp, 3.0E+04_dp, 4.0E+04_dp, 5.0E+04_dp, 6.0E+04_dp, 7.0E+04_dp, 8.0E+04_dp, 9.0E+04_dp, 1.0E+05_dp, 2.0E+05_dp, 3.0E+05_dp, 4.0E+05_dp, 5.0E+05_dp, 6.0E+05_dp, 7.0E+05_dp, 8.0E+05_dp, 9.0E+05_dp, 1.0E+06_dp, 2.0E+06_dp, 3.0E+06_dp, 4.0E+06_dp, 5.0E+06_dp, 6.0E+06_dp, 7.0E+06_dp, 8.0E+06_dp, 9.0E+06_dp, 1.0E+07_dp, 2.0E+07_dp, 3.0E+07_dp, 4.0E+07_dp, 5.0E+07_dp, 6.0E+07_dp, 7.0E+07_dp, 8.0E+07_dp, 9.0E+07_dp, 1.0E+08_dp, 2.0E+08_dp, 4.0E+02_dp, 5.0E+02_dp, 6.0E+02_dp, 7.0E+02_dp, 8.0E+02_dp, 9.0E+02_dp, 1.0E+03_dp, 2.0E+03_dp, 3.0E+03_dp, 4.0E+03_dp, 5.0E+03_dp, 6.0E+03_dp, 7.0E+03_dp, 8.0E+03_dp, 9.0E+03_dp, 1.0E+04_dp, 2.0E+04_dp, 3.0E+04_dp, 4.0E+04_dp, 5.0E+04_dp, 6.0E+04_dp, 7.0E+04_dp, 8.0E+04_dp, 9.0E+04_dp, 1.0E+05_dp, 2.0E+05_dp, 3.0E+05_dp, 4.0E+05_dp, 5.0E+05_dp, 6.0E+05_dp, 7.0E+05_dp, 8.0E+05_dp, 9.0E+05_dp, 1.0E+06_dp, 2.0E+06_dp, 3.0E+06_dp, 4.0E+06_dp, 5.0E+06_dp, 6.0E+06_dp, 7.0E+06_dp, 8.0E+06_dp, 9.0E+06_dp, 1.0E+07_dp, 2.0E+07_dp, 3.0E+07_dp, 4.0E+07_dp, 5.0E+07_dp, 6.0E+07_dp, 7.0E+07_dp, 8.0E+07_dp, 9.0E+07_dp, 1.0E+08_dp, 2.0E+08_dp, 3.0E+08_dp, 1.0E+04_dp, 2.0E+04_dp, 3.0E+04_dp, 4.0E+04_dp, 5.0E+04_dp, 6.0E+04_dp, 7.0E+04_dp, 8.0E+04_dp, 9.0E+04_dp, 1.0E+05_dp, 2.0E+05_dp, 3.0E+05_dp, 4.0E+05_dp, 5.0E+05_dp, 6.0E+05_dp, 7.0E+05_dp, 8.0E+05_dp, 9.0E+05_dp, 1.0E+06_dp, 2.0E+06_dp, 3.0E+06_dp, 4.0E+06_dp, 5.0E+06_dp, 6.0E+06_dp, 7.0E+06_dp, 8.0E+06_dp, 9.0E+06_dp, 1.0E+07_dp, 2.0E+07_dp, 3.0E+07_dp, 4.0E+07_dp, 5.0E+07_dp, 6.0E+07_dp, 7.0E+07_dp, 8.0E+07_dp, 9.0E+07_dp, 1.0E+08_dp, 2.0E+08_dp, 3.0E+08_dp, 4.0E+08_dp, 1.0E+08_dp, 2.0E+08_dp, 3.0E+08_dp, 4.0E+08_dp, 5.0E+08_dp, 6.0E+08_dp, 7.0E+08_dp, 8.0E+08_dp, 9.0E+08_dp, 7.0E+08_dp, 8.0E+08_dp, 9.0E+08_dp, 1.0E+09_dp, 2.0E+09_dp, 7.0E+08_dp, 8.0E+08_dp, 9.0E+08_dp, 1.0E+09_dp, 2.0E+09_dp, 7.0E+08_dp, 8.0E+08_dp, 9.0E+08_dp, 1.0E+09_dp, 2.0E+09_dp, 3.0E+09_dp, 7.0E+08_dp, 8.0E+08_dp, 9.0E+08_dp, 1.0E+09_dp, 2.0E+09_dp, 3.0E+09_dp, 4.0E+09_dp, 7.0E+08_dp, 8.0E+08_dp, 9.0E+08_dp, 1.0E+09_dp, 2.0E+09_dp, 3.0E+09_dp, 4.0E+09_dp, 5.0E+09_dp, 6.0E+09_dp, 7.0E+08_dp, 8.0E+08_dp, 9.0E+08_dp, 1.0E+09_dp, 2.0E+09_dp, 3.0E+09_dp, 4.0E+09_dp, 5.0E+09_dp, 6.0E+09_dp, 7.0E+09_dp, 8.0E+09_dp, 9.0E+09_dp, 1.0E+10_dp, 2.0E+10_dp, 1.0E+10_dp, 2.0E+10_dp, 1.0E+10_dp, 2.0E+10_dp, 3.0E+10_dp, 1.0E+10_dp, 2.0E+10_dp, 3.0E+10_dp, 4.0E+10_dp, 1.0E+10_dp, 2.0E+10_dp, 3.0E+10_dp, 4.0E+10_dp, 5.0E+10_dp, 1.0E+10_dp, 2.0E+10_dp, 3.0E+10_dp, 4.0E+10_dp, 5.0E+10_dp, 6.0E+10_dp, 7.0E+10_dp, 1.0E+10_dp, 2.0E+10_dp, 3.0E+10_dp, 4.0E+10_dp, 5.0E+10_dp, 6.0E+10_dp, 7.0E+10_dp, 8.0E+10_dp, 9.0E+10_dp, 1.0E+11_dp, 1.0E+11_dp, 2.0E+11_dp, 1.0E+11_dp, 2.0E+11_dp, 1.0E+11_dp, 2.0E+11_dp, 3.0E+11_dp, 1.0E+11_dp, 2.0E+11_dp, 3.0E+11_dp, 4.0E+11_dp, 1.0E+11_dp, 2.0E+11_dp, 3.0E+11_dp, 4.0E+11_dp, 5.0E+11_dp, 1.0E+11_dp, 2.0E+11_dp, 3.0E+11_dp, 4.0E+11_dp, 5.0E+11_dp, 6.0E+11_dp, 7.0E+11_dp, 1.0E+11_dp, 2.0E+11_dp, 3.0E+11_dp, 4.0E+11_dp, 5.0E+11_dp, 6.0E+11_dp, 7.0E+11_dp, 8.0E+11_dp, 9.0E+11_dp, 1.0E+12_dp, 2.0E+08_dp, 3.0E+08_dp, 4.0E+08_dp, 5.0E+08_dp, 6.0E+08_dp, 7.0E+08_dp, 8.0E+08_dp, 9.0E+08_dp, 1.0E+09_dp, 2.0E+09_dp, 3.0E+09_dp, 4.0E+09_dp, 5.0E+09_dp, 6.0E+09_dp, 7.0E+09_dp, 8.0E+09_dp, 9.0E+09_dp, 1.0E+10_dp, 2.0E+10_dp, 3.0E+10_dp, 4.0E+10_dp, 5.0E+10_dp, 6.0E+10_dp, 7.0E+10_dp, 8.0E+10_dp, 9.0E+10_dp, 1.0E+11_dp, 2.0E+11_dp, 3.0E+11_dp, 4.0E+11_dp, 5.0E+11_dp, 6.0E+11_dp, 7.0E+11_dp, 8.0E+11_dp, 9.0E+11_dp, 1.0E+12_dp, 2.0E+12_dp, 1.0E+12_dp, 2.0E+12_dp, 1.0E+12_dp, 2.0E+12_dp, 3.0E+12_dp, 4.0E+11_dp, 5.0E+11_dp, 6.0E+11_dp, 7.0E+11_dp, 8.0E+11_dp, 9.0E+11_dp, 1.0E+12_dp, 2.0E+12_dp, 3.0E+12_dp, 4.0E+12_dp]
real(kind=dp), dimension(n_approx), parameter, public	minimax_exp_k53::err_mm = [2.128E-02_dp, 4.358E-02_dp, 5.960E-02_dp, 7.075E-02_dp, 7.825E-02_dp, 8.288E-02_dp, 8.516E-02_dp, 8.556E-02_dp, 8.556E-02_dp, 2.080E-04_dp, 1.035E-03_dp, 2.191E-03_dp, 3.437E-03_dp, 4.659E-03_dp, 5.811E-03_dp, 6.878E-03_dp, 7.857E-03_dp, 8.752E-03_dp, 1.448E-02_dp, 1.699E-02_dp, 1.784E-02_dp, 1.785E-02_dp, 1.834E-06_dp, 2.223E-05_dp, 7.279E-05_dp, 1.500E-04_dp, 2.463E-04_dp, 3.553E-04_dp, 4.718E-04_dp, 5.924E-04_dp, 7.145E-04_dp, 1.819E-03_dp, 2.627E-03_dp, 3.215E-03_dp, 3.659E-03_dp, 4.001E-03_dp, 4.271E-03_dp, 4.485E-03_dp, 4.655E-03_dp, 4.789E-03_dp, 5.052E-03_dp, 1.542E-08_dp, 4.556E-07_dp, 2.311E-06_dp, 6.258E-06_dp, 1.246E-05_dp, 2.079E-05_dp, 3.098E-05_dp, 4.273E-05_dp, 5.577E-05_dp, 2.169E-04_dp, 3.795E-04_dp, 5.230E-04_dp, 6.469E-04_dp, 7.541E-04_dp, 8.474E-04_dp, 9.293E-04_dp, 1.002E-03_dp, 1.066E-03_dp, 1.456E-03_dp, 1.628E-03_dp, 1.695E-03_dp, 1.700E-03_dp, 1.261E-10_dp, 9.088E-09_dp, 7.139E-08_dp, 2.543E-07_dp, 6.143E-07_dp, 1.185E-06_dp, 1.982E-06_dp, 3.004E-06_dp, 4.243E-06_dp, 2.521E-05_dp, 5.336E-05_dp, 8.266E-05_dp, 1.110E-04_dp, 1.377E-04_dp, 1.626E-04_dp, 1.858E-04_dp, 2.074E-04_dp, 2.274E-04_dp, 3.707E-04_dp, 4.554E-04_dp, 5.117E-04_dp, 5.517E-04_dp, 5.811E-04_dp, 6.031E-04_dp, 6.193E-04_dp, 6.309E-04_dp, 6.385E-04_dp, 6.428E-04_dp, 1.012E-12_dp, 1.780E-10_dp, 2.167E-09_dp, 1.016E-08_dp, 2.976E-08_dp, 6.643E-08_dp, 1.246E-07_dp, 2.076E-07_dp, 3.173E-07_dp, 2.880E-06_dp, 7.379E-06_dp, 1.285E-05_dp, 1.872E-05_dp, 2.471E-05_dp, 3.066E-05_dp, 3.648E-05_dp, 4.213E-05_dp, 4.760E-05_dp, 9.217E-05_dp, 1.235E-04_dp, 1.467E-04_dp, 1.649E-04_dp, 1.795E-04_dp, 1.915E-04_dp, 2.016E-04_dp, 2.102E-04_dp, 2.177E-04_dp, 2.570E-04_dp, 2.646E-04_dp, 8.020E-15_dp, 3.444E-12_dp, 6.498E-11_dp, 4.007E-10_dp, 1.424E-09_dp, 3.677E-09_dp, 7.741E-09_dp, 1.417E-08_dp, 2.344E-08_dp, 3.252E-07_dp, 1.008E-06_dp, 1.973E-06_dp, 3.121E-06_dp, 4.382E-06_dp, 5.711E-06_dp, 7.077E-06_dp, 8.458E-06_dp, 9.841E-06_dp, 2.261E-05_dp, 3.297E-05_dp, 4.141E-05_dp, 4.842E-05_dp, 5.438E-05_dp, 5.952E-05_dp, 6.401E-05_dp, 6.799E-05_dp, 7.153E-05_dp, 9.365E-05_dp, 1.047E-04_dp, 1.110E-04_dp, 1.146E-04_dp, 1.162E-04_dp, 1.163E-04_dp, 1.716E-09_dp, 3.640E-08_dp, 1.365E-07_dp, 3.003E-07_dp, 5.155E-07_dp, 7.701E-07_dp, 1.054E-06_dp, 1.361E-06_dp, 1.683E-06_dp, 2.016E-06_dp, 5.498E-06_dp, 8.724E-06_dp, 1.157E-05_dp, 1.407E-05_dp, 1.630E-05_dp, 1.829E-05_dp, 2.008E-05_dp, 2.172E-05_dp, 2.321E-05_dp, 3.341E-05_dp, 3.926E-05_dp, 4.316E-05_dp, 4.596E-05_dp, 4.807E-05_dp, 4.969E-05_dp, 5.096E-05_dp, 5.195E-05_dp, 5.271E-05_dp, 5.392E-05_dp, 1.248E-10_dp, 4.045E-09_dp, 1.836E-08_dp, 4.539E-08_dp, 8.456E-08_dp, 1.344E-07_dp, 1.933E-07_dp, 2.598E-07_dp, 3.325E-07_dp, 4.103E-07_dp, 1.327E-06_dp, 2.292E-06_dp, 3.209E-06_dp, 4.061E-06_dp, 4.848E-06_dp, 5.577E-06_dp, 6.252E-06_dp, 6.881E-06_dp, 7.468E-06_dp, 1.180E-05_dp, 1.456E-05_dp, 1.654E-05_dp, 1.804E-05_dp, 1.923E-05_dp, 2.021E-05_dp, 2.103E-05_dp, 2.172E-05_dp, 2.232E-05_dp, 2.546E-05_dp, 2.611E-05_dp, 9.021E-12_dp, 4.470E-10_dp, 2.456E-09_dp, 6.822E-09_dp, 1.380E-08_dp, 2.333E-08_dp, 3.525E-08_dp, 4.932E-08_dp, 6.532E-08_dp, 8.303E-08_dp, 3.186E-07_dp, 5.986E-07_dp, 8.850E-07_dp, 1.165E-06_dp, 1.434E-06_dp, 1.691E-06_dp, 1.935E-06_dp, 2.167E-06_dp, 2.389E-06_dp, 4.140E-06_dp, 5.360E-06_dp, 6.284E-06_dp, 7.020E-06_dp, 7.626E-06_dp, 8.137E-06_dp, 8.576E-06_dp, 8.958E-06_dp, 9.296E-06_dp, 1.133E-05_dp, 1.230E-05_dp, 1.282E-05_dp, 1.307E-05_dp, 1.312E-05_dp, 6.492E-13_dp, 4.918E-11_dp, 3.270E-10_dp, 1.021E-09_dp, 2.241E-09_dp, 4.031E-09_dp, 6.398E-09_dp, 9.323E-09_dp, 1.278E-08_dp, 1.673E-08_dp, 7.613E-08_dp, 1.557E-07_dp, 2.430E-07_dp, 3.326E-07_dp, 4.221E-07_dp, 5.101E-07_dp, 5.960E-07_dp, 6.795E-07_dp, 7.605E-07_dp, 1.445E-06_dp, 1.963E-06_dp, 2.375E-06_dp, 2.715E-06_dp, 3.004E-06_dp, 3.254E-06_dp, 3.474E-06_dp, 3.669E-06_dp, 3.844E-06_dp, 4.975E-06_dp, 5.583E-06_dp, 5.971E-06_dp, 6.242E-06_dp, 6.437E-06_dp, 6.580E-06_dp, 6.683E-06_dp, 6.754E-06_dp, 6.795E-06_dp, 6.807E-06_dp, 4.654E-14_dp, 5.389E-12_dp, 4.337E-11_dp, 1.522E-10_dp, 3.625E-10_dp, 6.939E-10_dp, 1.157E-09_dp, 1.756E-09_dp, 2.490E-09_dp, 3.357E-09_dp, 1.812E-08_dp, 4.032E-08_dp, 6.645E-08_dp, 9.463E-08_dp, 1.238E-07_dp, 1.533E-07_dp, 1.829E-07_dp, 2.122E-07_dp, 2.412E-07_dp, 5.025E-07_dp, 7.157E-07_dp, 8.936E-07_dp, 1.046E-06_dp, 1.178E-06_dp, 1.295E-06_dp, 1.400E-06_dp, 1.495E-06_dp, 1.582E-06_dp, 2.171E-06_dp, 2.514E-06_dp, 2.748E-06_dp, 2.920E-06_dp, 3.053E-06_dp, 3.159E-06_dp, 3.246E-06_dp, 3.318E-06_dp, 3.379E-06_dp, 3.630E-06_dp, 3.630E-06_dp, 3.326E-15_dp, 5.888E-13_dp, 5.735E-12_dp, 2.262E-11_dp, 5.847E-11_dp, 1.191E-10_dp, 2.085E-10_dp, 3.295E-10_dp, 4.836E-10_dp, 6.716E-10_dp, 4.301E-09_dp, 1.041E-08_dp, 1.812E-08_dp, 2.683E-08_dp, 3.618E-08_dp, 4.594E-08_dp, 5.593E-08_dp, 6.605E-08_dp, 7.623E-08_dp, 1.741E-07_dp, 2.601E-07_dp, 3.351E-07_dp, 4.013E-07_dp, 4.604E-07_dp, 5.138E-07_dp, 5.624E-07_dp, 6.070E-07_dp, 6.481E-07_dp, 9.429E-07_dp, 1.127E-06_dp, 1.257E-06_dp, 1.357E-06_dp, 1.437E-06_dp, 1.503E-06_dp, 1.558E-06_dp, 1.605E-06_dp, 1.646E-06_dp, 1.877E-06_dp, 1.966E-06_dp, 1.984E-06_dp, 2.371E-16_dp, 6.414E-14_dp, 7.562E-13_dp, 3.352E-12_dp, 9.405E-12_dp, 2.038E-11_dp, 3.749E-11_dp, 6.169E-11_dp, 9.369E-11_dp, 1.340E-10_dp, 1.018E-09_dp, 2.681E-09_dp, 4.926E-09_dp, 7.587E-09_dp, 1.055E-08_dp, 1.372E-08_dp, 1.706E-08_dp, 2.050E-08_dp, 2.403E-08_dp, 6.017E-08_dp, 9.426E-08_dp, 1.253E-07_dp, 1.536E-07_dp, 1.794E-07_dp, 2.032E-07_dp, 2.252E-07_dp, 2.457E-07_dp, 2.648E-07_dp, 4.081E-07_dp, 5.029E-07_dp, 5.731E-07_dp, 6.283E-07_dp, 6.735E-07_dp, 7.114E-07_dp, 7.440E-07_dp, 7.723E-07_dp, 7.973E-07_dp, 9.491E-07_dp, 1.023E-06_dp, 1.066E-06_dp, 1.092E-06_dp, 1.105E-06_dp, 1.108E-06_dp, 1.708E-17_dp, 6.972E-15_dp, 9.947E-14_dp, 4.956E-13_dp, 1.509E-12_dp, 3.479E-12_dp, 6.723E-12_dp, 1.152E-11_dp, 1.811E-11_dp, 2.667E-11_dp, 2.403E-10_dp, 6.888E-10_dp, 1.336E-09_dp, 2.140E-09_dp, 3.067E-09_dp, 4.091E-09_dp, 5.190E-09_dp, 6.349E-09_dp, 7.555E-09_dp, 2.074E-08_dp, 3.407E-08_dp, 4.673E-08_dp, 5.861E-08_dp, 6.972E-08_dp, 8.014E-08_dp, 8.993E-08_dp, 9.917E-08_dp, 1.079E-07_dp, 1.762E-07_dp, 2.238E-07_dp, 2.604E-07_dp, 2.898E-07_dp, 3.145E-07_dp, 3.356E-07_dp, 3.539E-07_dp, 3.702E-07_dp, 3.847E-07_dp, 4.770E-07_dp, 5.262E-07_dp, 5.577E-07_dp, 5.797E-07_dp, 5.959E-07_dp, 6.079E-07_dp, 6.169E-07_dp, 6.235E-07_dp, 6.280E-07_dp, 6.311E-07_dp, 1.000E-18_dp, 7.562E-16_dp, 1.306E-14_dp, 7.312E-14_dp, 2.417E-13_dp, 5.927E-13_dp, 1.203E-12_dp, 2.147E-12_dp, 3.492E-12_dp, 5.298E-12_dp, 5.663E-11_dp, 1.766E-10_dp, 3.616E-10_dp, 6.025E-10_dp, 8.902E-10_dp, 1.217E-09_dp, 1.576E-09_dp, 1.962E-09_dp, 2.371E-09_dp, 7.134E-09_dp, 1.229E-08_dp, 1.739E-08_dp, 2.232E-08_dp, 2.704E-08_dp, 3.154E-08_dp, 3.584E-08_dp, 3.995E-08_dp, 4.388E-08_dp, 7.587E-08_dp, 9.939E-08_dp, 1.180E-07_dp, 1.334E-07_dp, 1.465E-07_dp, 1.579E-07_dp, 1.679E-07_dp, 1.769E-07_dp, 1.850E-07_dp, 2.389E-07_dp, 2.694E-07_dp, 2.899E-07_dp, 3.048E-07_dp, 3.164E-07_dp, 3.256E-07_dp, 3.331E-07_dp, 3.393E-07_dp, 3.445E-07_dp, 3.658E-07_dp, 3.659E-07_dp, 8.202E-17_dp, 1.711E-15_dp, 1.077E-14_dp, 3.863E-14_dp, 1.008E-13_dp, 2.150E-13_dp, 4.004E-13_dp, 6.723E-13_dp, 1.050E-12_dp, 1.332E-11_dp, 4.519E-11_dp, 9.771E-11_dp, 1.693E-10_dp, 2.579E-10_dp, 3.613E-10_dp, 4.776E-10_dp, 6.052E-10_dp, 7.426E-10_dp, 2.450E-09_dp, 4.425E-09_dp, 6.461E-09_dp, 8.484E-09_dp, 1.046E-08_dp, 1.239E-08_dp, 1.425E-08_dp, 1.606E-08_dp, 1.780E-08_dp, 3.261E-08_dp, 4.404E-08_dp, 5.336E-08_dp, 6.124E-08_dp, 6.807E-08_dp, 7.409E-08_dp, 7.947E-08_dp, 8.433E-08_dp, 8.877E-08_dp, 1.193E-07_dp, 1.375E-07_dp, 1.501E-07_dp, 1.597E-07_dp, 1.672E-07_dp, 1.734E-07_dp, 1.785E-07_dp, 1.829E-07_dp, 1.867E-07_dp, 2.076E-07_dp, 2.148E-07_dp, 2.155E-07_dp, 1.584E-15_dp, 6.165E-15_dp, 1.711E-14_dp, 3.834E-14_dp, 7.420E-14_dp, 1.292E-13_dp, 2.079E-13_dp, 3.128E-12_dp, 1.155E-11_dp, 2.636E-11_dp, 4.750E-11_dp, 7.459E-11_dp, 1.071E-10_dp, 1.445E-10_dp, 1.864E-10_dp, 2.322E-10_dp, 8.396E-10_dp, 1.590E-09_dp, 2.396E-09_dp, 3.220E-09_dp, 4.043E-09_dp, 4.858E-09_dp, 5.659E-09_dp, 6.445E-09_dp, 7.213E-09_dp, 1.399E-08_dp, 1.948E-08_dp, 2.409E-08_dp, 2.807E-08_dp, 3.157E-08_dp, 3.471E-08_dp, 3.754E-08_dp, 4.013E-08_dp, 4.251E-08_dp, 5.942E-08_dp, 6.997E-08_dp, 7.755E-08_dp, 8.339E-08_dp, 8.810E-08_dp, 9.202E-08_dp, 9.534E-08_dp, 9.822E-08_dp, 1.007E-07_dp, 1.157E-07_dp, 1.227E-07_dp, 1.265E-07_dp, 1.284E-07_dp, 1.289E-07_dp, 9.826E-16_dp, 2.902E-15_dp, 6.829E-15_dp, 1.376E-14_dp, 2.480E-14_dp, 4.110E-14_dp, 7.333E-13_dp, 2.946E-12_dp, 7.099E-12_dp, 1.331E-11_dp, 2.154E-11_dp, 3.170E-11_dp, 4.367E-11_dp, 5.732E-11_dp, 7.251E-11_dp, 2.874E-10_dp, 5.708E-10_dp, 8.873E-10_dp, 1.220E-09_dp, 1.560E-09_dp, 1.902E-09_dp, 2.244E-09_dp, 2.582E-09_dp, 2.918E-09_dp, 5.993E-09_dp, 8.602E-09_dp, 1.086E-08_dp, 1.284E-08_dp, 1.462E-08_dp, 1.623E-08_dp, 1.770E-08_dp, 1.906E-08_dp, 2.032E-08_dp, 2.955E-08_dp, 3.555E-08_dp, 3.997E-08_dp, 4.346E-08_dp, 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