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pseudospecProj.py
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1397 lines (1388 loc) · 82.7 KB
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import backwardinvariat as bkwdinv
import pseudopy as ps
import numpy as np
from matplotlib import pyplot
def pseudospecProj(A, phi, diff = 1e-3,
real_min = -50, real_max = 50,
real_n = 101, imag_min = -25, imag_max = 25,
imag_n = 101, pushaway = 100):
P, commutatorNorm, basis = bkwdinv.backwardInvariantProjection(A, phi, diff)
IP = np.identity(A.shape[0])-P
PA = np.matmul(P, A)-10j*np.abs(imag_min)*pushaway*IP
pseudo = ps.NonnormalMeshgrid(PA, real_min = real_min,
real_max = real_max, real_n = real_n,
imag_min = imag_min, imag_max = imag_max,
imag_n = imag_n)
return pseudo, P
def defaultPlotPseudospec(pseudoMeshgrid, real_min = -50, real_max = 50,
imag_min = -25, imag_max = 25):
pyplot.imshow(pseudoMeshgrid.Vals,
extent = (real_min, real_max, imag_min, imag_max))
pyplot.colorbar()
pyplot.xlabel("Real Part")
pyplot.ylabel("Imaginary Part")
pyplot.show()
if __name__ == "__main__":
import scipy.stats as sci
np.random.seed(100)
A = np.array([[-2, 0, 0, 0, 0],
[0, -2, 1, 0, 0],
[0, -1, -2, 0, 0],
[0, 0, 0, -1, 1],
[0, 0, 0, 0, -1]])
Q = np.array(sci.unitary_group.rvs(5))
Qt = Q.transpose()
B = np.matmul(Qt, np.matmul(A, Q))
pseudo, P = pseudospecProj(B, phi = np.array([0, 0, 0, 1, 0]),
real_min = -5, real_max = 5, imag_min = -5,
imag_max = 5)
print(P)
defaultPlotPseudospec(pseudo, real_min = -5, real_max = 5, imag_min = -5,
imag_max = 5)
#
# pseudo, P = pseudospecProj(A, phi = np.array([0, 0, 1, 0, 0]),
# real_min = -5, real_max = 5, imag_min = -5,
# imag_max = 5)
#
# print(P)
#
# defaultPlotPseudospec(pseudo, real_min = -5, real_max = 5, imag_min = -5,
# imag_max = 5)
# A = np.array([[-1.24257108e+22, 3.29904962e-05, -3.46982561e-01,
# 1.91191110e-01, -2.45462492e-08, -2.61402225e-07,
# 1.58803854e-07, 8.12372229e-02, -6.20398234e-03,
# 1.08892351e-03, 4.21357109e-07, 2.37342967e-07,
# 2.56948099e-07, -3.97726561e-08, -4.97565469e-10,
# -6.62343092e-08, 6.42464734e-09, -4.67301375e-07,
# 8.24247550e-11, -1.06889093e-07, -2.89668535e-04,
# -2.58261457e-07, -6.43979245e-04, -4.81217909e-05,
# 3.29672566e-09, 3.00210956e-09, -3.83738064e-04,
# 7.19018943e-08, 7.91901044e-13, 0.00000000e+00,
# -5.14121363e-06, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, -6.60173608e-04,
# -1.64588615e-05, -1.79864121e-04, 1.80041200e-04,
# 0.00000000e+00, 8.54565799e-11, 0.00000000e+00,
# -8.44258361e-12, 0.00000000e+00, -1.45277031e-11,
# 0.00000000e+00, 6.21148474e-08, 0.00000000e+00,
# 5.39339887e-13, 0.00000000e+00, 3.18602517e-04,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [-2.78055974e+32, -3.42285499e+05, 1.80272881e+09,
# -1.98630713e+09, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -8.91647401e+08, 3.83778014e+07,
# -6.72671047e+06, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 1.49171154e+00,
# 1.88901659e+03, 6.85281850e+06, 5.09033566e+05,
# -2.54919090e+01, 0.00000000e+00, 2.96725200e+06,
# 3.14056783e+04, 3.45890601e-01, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 6.82005521e+02,
# -1.01980651e+03, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# -4.14211817e-03, 0.00000000e+00, -1.63666026e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 0.00000000e+00, 1.29682784e+00, -6.84572426e+03,
# 7.55137319e+03, 7.98228725e-06, -3.15694762e-04,
# 8.81416623e-04, 3.38622781e+03, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -2.60292297e+01, -1.92668473e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 3.57782042e-01, 3.94047994e-06, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 2.74790458e+08, 7.77117496e-03,
# 1.66496969e-03, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 0.00000000e+00, -1.29682784e+00, 6.84572426e+03,
# -7.55137319e+03, -7.98228725e-06, 3.15694762e-04,
# -8.81416623e-04, -3.38622781e+03, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 2.60292297e+01, 1.92668473e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# -3.57782042e-01, -3.94047994e-06, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -2.74790458e+08, -7.77117496e-03,
# -1.66496969e-03, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [-4.12465874e+00, 0.00000000e+00, -1.59617285e-03,
# 8.56433151e-04, -7.98228725e-06, 3.59413607e-04,
# -8.87989280e-04, -9.37253380e-06, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# -1.80411866e-04, 5.23165885e-06, -1.85481804e-01,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -3.51076212e-04, -4.67934316e-03,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 4.12465874e+00, 0.00000000e+00, 1.59617285e-03,
# -8.56433151e-04, 7.98228725e-06, -3.59413607e-04,
# 8.87989280e-04, 9.37253380e-06, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 1.80411866e-04, -5.23165885e-06, 1.85481804e-01,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 3.51076212e-04, 4.67934316e-03,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 0.00000000e+00, -1.29689246e+00, 6.84572585e+03,
# -7.54350827e+03, 0.00000000e+00, -4.80012024e-05,
# 6.88469081e-06, -3.61220316e+03, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 1.80411866e-04, -5.23165885e-06, 1.85481804e-01,
# 0.00000000e+00, 2.64905996e-02, 0.00000000e+00,
# 0.00000000e+00, 2.65122718e+01, 2.96445143e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# -2.53618599e-01, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -2.61701503e+08, -2.64909395e+01,
# -5.23693422e-01, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -2.69320601e-02, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [-8.97329620e+08, 1.98823062e-03, 8.39396517e-05,
# 7.11899677e-05, -1.15828056e-03, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, -1.09302591e+02,
# 1.92389009e+01, 6.09519373e-05, -1.96684738e-01,
# 0.00000000e+00, -2.19405489e-07, -1.40065417e-03,
# 4.14861427e-08, -1.22997287e-03, 0.00000000e+00,
# 0.00000000e+00, -2.22986248e-04, 0.00000000e+00,
# 0.00000000e+00, -8.68455057e-05, -8.11506947e-04,
# 0.00000000e+00, -2.64814951e-03, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -7.96698776e-08, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 8.97313572e+08, -1.85671397e-03, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 1.87021781e-04, 1.09302592e+02,
# -1.92649354e+01, 1.16580509e-08, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, -5.37112672e-06,
# 9.28529164e-05, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -1.38940632e-04, -9.12702560e-04,
# 0.00000000e+00, 0.00000000e+00, 1.98320383e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [-1.01076302e+02, 0.00000000e+00, 8.66470607e-05,
# 1.84769058e-04, -1.15827566e-03, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 5.83481716e-07,
# 0.00000000e+00, 1.43261880e-03, -6.99162730e-04,
# -6.35620551e-05, 0.00000000e+00, 2.59677900e-07,
# 2.97666215e-07, 5.03598576e-04, 0.00000000e+00,
# 0.00000000e+00, -2.22986248e-04, -1.70714859e-04,
# -2.16013877e-01, 4.92879306e-05, 2.23694065e-04,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [-3.88585525e+02, 0.00000000e+00, 3.31240305e-09,
# 1.56959560e-08, 4.38593706e-09, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 7.48956078e-04, -1.97383901e-01,
# -6.35620551e-05, 0.00000000e+00, 0.00000000e+00,
# 2.97666215e-07, -7.23093282e-04, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -1.43016616e-05, -2.82846230e-04,
# 0.00000000e+00, -2.59790315e-03, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -7.96698776e-08, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 6.06220407e-07, 0.00000000e+00, -3.31240305e-09,
# -1.56959560e-08, -4.38593706e-09, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -7.48956078e-04, 6.99162730e-04,
# 1.05173549e-03, -7.44311728e-03, 0.00000000e+00,
# -2.97666215e-07, -5.03598576e-04, 0.00000000e+00,
# 0.00000000e+00, 4.97747591e-04, 0.00000000e+00,
# 0.00000000e+00, 6.38133409e-03, -1.21739115e-03,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -4.91551772e-11, -7.51281447e-10,
# -7.12798798e-09, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 7.75336596e-06, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -2.26820785e-04, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 1.49314075e+02, 0.00000000e+00, -8.76216940e-05,
# 1.58046773e-06, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# -1.00010764e-03, 7.39865761e-03, 1.40063934e-03,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -6.21866103e-03, 1.06808639e-03,
# 0.00000000e+00, 5.02449766e-05, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [-9.49862837e+00, 0.00000000e+00, 1.91686881e-04,
# -1.61106461e-06, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -6.23642019e-04, 0.00000000e+00,
# 0.00000000e+00, -2.19405490e-07, -1.35703828e-03,
# -4.14861427e-08, 4.72453833e-06, 0.00000000e+00,
# 0.00000000e+00, -4.85138085e-03, 1.70714859e-04,
# 2.16013877e-01, -1.46318821e-04, -2.23681107e-03,
# 0.00000000e+00, -5.02435884e-05, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# -1.28437498e-04, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 9.57038422e-03, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 4.12465874e+00, 0.00000000e+00, -7.07014059e-04,
# 7.12070361e-04, 0.00000000e+00, -4.80012024e-05,
# 6.88469081e-06, 9.37253380e-06, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, -1.48290180e-08,
# 1.80453174e-04, -9.93915869e-06, 1.85481804e-01,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 1.82768328e-06, -4.03419856e-05,
# 0.00000000e+00, -1.38824107e-09, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 3.84460866e+02, 0.00000000e+00, 7.07007435e-04,
# -7.12086057e-04, -4.38593706e-09, 4.80012024e-05,
# -6.88469081e-06, -9.37253380e-06, 0.00000000e+00,
# 0.00000000e+00, -7.48956078e-04, 1.97383901e-01,
# 6.35620551e-05, 0.00000000e+00, 1.48290180e-08,
# -1.80750608e-04, 7.32424281e-04, -1.85481804e-01,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 1.24739783e-05, 3.23254211e-04,
# 0.00000000e+00, 2.59790454e-03, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 7.96698778e-08, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [-4.12465922e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 4.80012024e-05,
# -6.88469081e-06, -9.37253380e-06, 0.00000000e+00,
# -3.23351821e-06, -1.16580509e-08, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# -1.80411866e-04, 5.23165885e-06, -2.03477929e-04,
# -9.28529164e-05, 1.17244932e-03, 0.00000000e+00,
# 0.00000000e+00, 1.35096587e-04, 2.24564186e-03,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -4.48879387e-12, 8.05299870e-07,
# -2.18873977e-08, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 6.06827434e-04,
# 0.00000000e+00, -1.47415518e-03, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 4.89889637e-07, 0.00000000e+00, -2.99851196e-05,
# -6.27424890e-05, 0.00000000e+00, -5.90377764e-05,
# -4.99861896e-05, 0.00000000e+00, 0.00000000e+00,
# 3.23351821e-06, 1.16580509e-08, 0.00000000e+00,
# 1.63964846e-02, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, -5.37112672e-06,
# 1.42839592e-04, -2.31155373e-04, 0.00000000e+00,
# 0.00000000e+00, -8.64926144e-04, 2.52556918e-04,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 9.69918643e+01, 0.00000000e+00, -1.69279917e-05,
# -1.21382465e-05, 1.15828056e-03, 5.90377764e-05,
# 4.99861896e-05, 1.82397529e-04, -5.83481716e-07,
# 0.00000000e+00, -6.09519373e-05, 0.00000000e+00,
# -1.63905994e-02, 0.00000000e+00, -4.39715776e-05,
# 0.00000000e+00, 0.00000000e+00, 6.57814954e-04,
# -5.08958153e-05, -2.28622004e-02, 0.00000000e+00,
# 0.00000000e+00, 6.62353938e-04, -7.66859624e-04,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# -1.74777257e-04, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 1.80183800e-10, -1.32670586e-07,
# -1.69807896e-08, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -7.75336596e-06, 0.00000000e+00,
# 1.28437498e-04, 0.00000000e+00, -6.06827434e-04,
# 0.00000000e+00, 1.90626527e-02, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 2.72559201e-01, 4.07877827e-09, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 6.23642019e-04, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 2.59677900e-07,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, -2.56611925e+01,
# -2.37534013e-01, 0.00000000e+00, -2.94911591e-02,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -2.21099533e-01, 2.73670019e-02,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 4.71881385e-08, 0.00000000e+00, 2.82242132e+01,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 7.97270879e-10, -4.07877827e-09, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -6.23642019e-04, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, -2.59677900e-07,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 1.87708843e-04,
# 2.37534013e-01, 0.00000000e+00, -4.77849655e-07,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -9.37939769e-11, 3.58611217e-08,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# -4.71881385e-08, 0.00000000e+00, -1.86452795e-05,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 6.73559451e+20, 3.36382878e-01, -3.54828562e+03,
# 1.95515592e+03, -1.33688517e-04, -5.36804041e-05,
# -2.38644774e-05, 8.85754576e+02, -1.39690790e+01,
# 2.41438887e+00, 2.88466273e-01, -2.17095201e-04,
# -9.64042040e-04, -2.20739154e-03, -7.45031118e-05,
# -1.49399642e-04, -3.11675141e-04, -1.48651116e-04,
# 2.30104093e-05, -5.14462547e-03, -1.78395240e-01,
# 1.99589816e-03, -7.25100775e+00, -3.28340464e-02,
# 7.42300973e-06, -4.55601189e-06, -8.64036524e-01,
# 4.31104273e-02, 4.74802405e-07, 0.00000000e+00,
# 9.23894784e-03, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 7.76364027e-01,
# 5.29226396e-01, -3.55543419e-01, 3.53154177e-01,
# 0.00000000e+00, -3.20365859e-07, 0.00000000e+00,
# -1.09862642e-05, 0.00000000e+00, -6.98049960e-05,
# 0.00000000e+00, 1.05143103e-03, 0.00000000e+00,
# 2.49216546e-09, 0.00000000e+00, 1.96209913e-01,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 4.80190047e+23, -1.86305632e-01, 1.96928158e+03,
# 5.34223887e+01, -8.56608403e-05, 8.00624807e-06,
# -2.35217141e-06, -4.85467651e+02, -8.35210524e+00,
# 1.46513642e+00, 1.03125003e+00, -2.08068349e-03,
# 1.00338379e-03, -1.22030202e-03, -2.54513652e-04,
# -5.46741917e-05, 7.40760864e-05, -1.14704928e-04,
# 2.92020053e-06, -3.58416571e-04, 1.17806475e+00,
# -1.79949441e-03, 3.74501213e+00, -2.80161299e+02,
# 4.43821375e-06, -3.34048423e-05, -5.16606999e-01,
# -7.56334365e-02, -8.32998879e-07, 0.00000000e+00,
# 1.64206119e-03, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, -3.48970562e-03,
# -3.35300348e-03, -4.54563989e-02, 6.95305198e-02,
# 0.00000000e+00, -2.56009406e-06, 0.00000000e+00,
# -4.17074081e-06, 0.00000000e+00, 1.19503372e-05,
# 0.00000000e+00, 4.79614376e-04, 0.00000000e+00,
# 4.95456077e-09, 0.00000000e+00, -1.29575279e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [-2.71233588e+05, -5.28609583e-04, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -3.36639206e-03, 0.00000000e+00,
# 4.77744888e-02, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 1.30684847e-03, 0.00000000e+00, -2.59167580e+02,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [-5.47641726e-07, 5.81516762e-04, -7.29829374e-04,
# 2.30562752e-03, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 4.40575838e-02, 7.80818780e-04,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# -1.16798588e+04, 6.22841421e+04, -1.83125277e+05,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 7.72610015e+03, 0.00000000e+00,
# 0.00000000e+00, 5.03759901e-05, 5.08181664e-01,
# -1.99901299e+01, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 5.47641726e-07, -5.81516762e-04, 7.29829374e-04,
# -2.30562752e-03, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -4.40575838e-02, -7.80818780e-04,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 7.90429722e+03, -1.31576760e+05, 3.66250554e+05,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 3.86305008e+03,
# 0.00000000e+00, -8.22923863e-05, -1.02792767e+00,
# 3.99652750e+01, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# -3.95053859e+03, 6.23052401e+04, -1.83125277e+05,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 3.19164665e-05, 5.19680253e-01,
# -1.99751452e+01, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 1.17633838e+08, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -2.41268283e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -2.38415397e-01, 0.00000000e+00,
# 0.00000000e+00, -4.38827663e+00, 4.96692212e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# -3.18097609e+04, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 2.97227618e+04, -1.17745432e+08, 2.38418455e+02,
# 4.71324080e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 2.42388541e-01, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 2.29595058e+02, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -9.64877641e+04, 4.10829887e+05,
# 0.00000000e+00, -2.91774501e-02, 6.20054330e+00,
# -3.09618589e+02, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 4.73099266e+04, -1.56265364e+04],
# [ 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 1.14797529e+02, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 9.66130381e+04, -4.26808304e+05,
# 0.00000000e+00, 2.91745915e-02, -6.28735919e+00,
# 3.11407635e+02, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -4.73099266e+04, 3.12530727e+04],
# [ 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 8.83265693e+02, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# -8.83265693e+02, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [-3.31809529e+04, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 1.96684738e-01,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 1.22585256e-03, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 4.47146377e-02,
# 0.00000000e+00, 2.59790315e-03, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 3.85215459e+04, -5.14529920e-02,
# 0.00000000e+00, -1.58641283e+01, 1.58740016e+01,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 3.02125846e+05, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, -3.97314351e-01,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -3.46693913e+05, 4.63076928e-01,
# 0.00000000e+00, 1.42777156e+02, -4.00591609e+03,
# 3.86305008e+03, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [-1.86638965e-09, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 2.64848382e-05, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -4.47972832e-03, 0.00000000e+00,
# 0.00000000e+00, 5.00267628e-08, -1.32243019e-08,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 4.42396595e-10, 6.76153303e-09,
# 6.41518918e-08, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, -3.86305015e+03, 3.86305008e+03,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 2.04138707e-03, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00],
# [ 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 1.14797529e+02, -1.14797529e+02,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
# 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,