/*
  This code can be loaded, or copied and pasted, into Magma.
  It will load the data associated to the HMF, including
  the field, level, and Hecke and Atkin-Lehner eigenvalue data.
  At the *bottom* of the file, there is code to recreate the
  Hilbert modular form in Magma, by creating the HMF space
  and cutting out the corresponding Hecke irreducible subspace.
  From there, you can ask for more eigenvalues or modify as desired.
  It is commented out, as this computation may be lengthy.
*/

P<x> := PolynomialRing(Rationals());
g := P![4, 6, -7, -1, 1];
F<w> := NumberField(g);
ZF := Integers(F);

NN := ideal<ZF | {17, 17, 1/2*w^3 - 1/2*w^2 - 5/2*w}>;

primesArray := [
[3, 3, -w + 1],
[4, 2, w],
[4, 2, -1/2*w^3 + 1/2*w^2 + 7/2*w - 3],
[7, 7, -1/2*w^3 + 1/2*w^2 + 5/2*w - 2],
[13, 13, 1/2*w^3 + 1/2*w^2 - 7/2*w - 1],
[17, 17, 1/2*w^3 - 1/2*w^2 - 5/2*w],
[27, 3, -w^3 + 7*w + 1],
[31, 31, w + 3],
[31, 31, -w^2 + 5],
[37, 37, w^2 - 3],
[41, 41, 1/2*w^3 + 1/2*w^2 - 3/2*w - 2],
[47, 47, w^3 - 5*w - 3],
[53, 53, 1/2*w^3 - 1/2*w^2 - 7/2*w],
[61, 61, w^3 - w^2 - 5*w + 3],
[83, 83, w^3 + w^2 - 6*w - 7],
[83, 83, -w^3 + 5*w + 1],
[83, 83, 2*w - 1],
[83, 83, -3/2*w^3 - 1/2*w^2 + 19/2*w + 2],
[89, 89, 1/2*w^3 - 1/2*w^2 - 7/2*w - 2],
[89, 89, w^3 - 5*w + 5],
[97, 97, -1/2*w^3 + 1/2*w^2 + 7/2*w - 6],
[97, 97, -1/2*w^3 + 1/2*w^2 + 9/2*w - 1],
[103, 103, 3/2*w^3 + 3/2*w^2 - 19/2*w - 9],
[109, 109, 1/2*w^3 - 1/2*w^2 - 9/2*w + 4],
[127, 127, 1/2*w^3 + 1/2*w^2 - 3/2*w - 3],
[127, 127, 1/2*w^3 - 1/2*w^2 - 5/2*w + 6],
[139, 139, 1/2*w^3 + 3/2*w^2 - 9/2*w - 3],
[139, 139, 3/2*w^3 - 1/2*w^2 - 21/2*w + 1],
[149, 149, -1/2*w^3 + 1/2*w^2 + 9/2*w - 2],
[151, 151, -1/2*w^3 - 1/2*w^2 + 9/2*w - 3],
[157, 157, 3/2*w^3 - 1/2*w^2 - 21/2*w + 4],
[163, 163, 1/2*w^3 + 3/2*w^2 - 5/2*w - 3],
[167, 167, -1/2*w^3 + 3/2*w^2 + 9/2*w - 9],
[179, 179, w^3 - w^2 - 5*w + 1],
[179, 179, -1/2*w^3 + 1/2*w^2 + 3/2*w - 4],
[181, 181, 5/2*w^3 + 3/2*w^2 - 31/2*w - 10],
[191, 191, -1/2*w^3 + 5/2*w^2 + 7/2*w - 14],
[191, 191, 2*w^3 - 2*w^2 - 12*w + 11],
[193, 193, w^2 + 1],
[193, 193, 1/2*w^3 + 3/2*w^2 - 9/2*w - 6],
[197, 197, 1/2*w^3 + 1/2*w^2 - 11/2*w + 1],
[197, 197, -3/2*w^3 + 3/2*w^2 + 17/2*w - 8],
[199, 199, 3/2*w^3 - 3/2*w^2 - 19/2*w + 7],
[227, 227, 1/2*w^3 + 1/2*w^2 - 7/2*w - 6],
[227, 227, -2*w^3 - w^2 + 14*w + 9],
[229, 229, w^3 - w^2 - 4*w + 3],
[229, 229, 3/2*w^3 - 1/2*w^2 - 17/2*w + 1],
[233, 233, -w^3 - w^2 + 7*w + 9],
[233, 233, 1/2*w^3 + 3/2*w^2 - 5/2*w - 9],
[251, 251, -5/2*w^3 - 1/2*w^2 + 31/2*w + 2],
[257, 257, -3/2*w^3 - 1/2*w^2 + 19/2*w + 1],
[257, 257, 1/2*w^3 + 1/2*w^2 - 11/2*w - 1],
[269, 269, 2*w^3 - 2*w^2 - 13*w + 15],
[269, 269, 1/2*w^3 + 3/2*w^2 - 9/2*w - 4],
[271, 271, 1/2*w^3 + 3/2*w^2 - 5/2*w - 6],
[277, 277, -1/2*w^3 + 5/2*w^2 + 5/2*w - 16],
[281, 281, -2*w^3 + 12*w + 1],
[281, 281, -3/2*w^3 - 1/2*w^2 + 15/2*w - 3],
[283, 283, 5/2*w^3 + 3/2*w^2 - 29/2*w - 8],
[283, 283, 3/2*w^3 + 1/2*w^2 - 15/2*w],
[293, 293, -w^3 - w^2 + 6*w + 1],
[307, 307, -3/2*w^3 + 1/2*w^2 + 13/2*w + 4],
[307, 307, -3/2*w^3 - 1/2*w^2 + 13/2*w - 2],
[311, 311, 2*w^2 + w - 11],
[311, 311, 1/2*w^3 + 3/2*w^2 - 5/2*w - 5],
[313, 313, 3/2*w^3 - 1/2*w^2 - 17/2*w + 2],
[317, 317, w^3 + 2*w^2 - 7*w - 3],
[331, 331, 2*w^2 + 2*w - 9],
[343, 7, -w^3 + 2*w^2 + 5*w - 11],
[349, 349, 5/2*w^3 + 1/2*w^2 - 35/2*w - 6],
[353, 353, 1/2*w^3 + 3/2*w^2 - 7/2*w - 4],
[359, 359, w - 5],
[361, 19, -5/2*w^3 + 1/2*w^2 + 33/2*w],
[361, 19, w^3 - w^2 - 8*w + 3],
[367, 367, -3/2*w^3 + 3/2*w^2 + 15/2*w - 8],
[383, 383, -1/2*w^3 + 1/2*w^2 + 1/2*w - 3],
[397, 397, -3/2*w^3 + 5/2*w^2 + 17/2*w - 16],
[397, 397, 1/2*w^3 - 1/2*w^2 - 5/2*w - 3],
[401, 401, -w^3 + 3*w - 3],
[401, 401, 3/2*w^3 + 3/2*w^2 - 21/2*w - 4],
[409, 409, 3/2*w^3 - 1/2*w^2 - 19/2*w - 3],
[419, 419, -5/2*w^3 - 1/2*w^2 + 29/2*w + 1],
[421, 421, -1/2*w^3 + 3/2*w^2 + 9/2*w - 11],
[421, 421, -3*w + 1],
[431, 431, 1/2*w^3 - 1/2*w^2 + 1/2*w + 2],
[431, 431, w^3 - 7*w - 5],
[433, 433, 1/2*w^3 + 1/2*w^2 - 3/2*w - 6],
[433, 433, w^3 + w^2 - 6*w + 3],
[467, 467, 1/2*w^3 + 3/2*w^2 - 11/2*w - 6],
[487, 487, -2*w^3 + w^2 + 12*w - 9],
[503, 503, 3/2*w^3 - 3/2*w^2 - 19/2*w + 6],
[503, 503, w^2 + 2*w - 7],
[523, 523, w^3 - w^2 - 6*w + 1],
[523, 523, -w^3 + 3*w^2 + 7*w - 19],
[541, 541, -3/2*w^3 + 3/2*w^2 + 15/2*w - 7],
[541, 541, w^3 - w^2 - 8*w + 7],
[547, 547, -1/2*w^3 + 3/2*w^2 + 3/2*w - 8],
[557, 557, 2*w^2 - w - 9],
[563, 563, -3*w^3 - w^2 + 19*w + 5],
[563, 563, 7/2*w^3 + 5/2*w^2 - 45/2*w - 16],
[563, 563, -w^3 + 3*w + 3],
[563, 563, -w^2 + 2*w - 3],
[569, 569, w^3 - w^2 - 6*w - 1],
[571, 571, -5/2*w^3 + 3/2*w^2 + 31/2*w - 11],
[577, 577, 2*w^2 - 2*w - 5],
[587, 587, 3/2*w^3 + 1/2*w^2 - 23/2*w - 3],
[587, 587, -2*w^3 + 14*w + 1],
[599, 599, -3/2*w^3 - 1/2*w^2 + 13/2*w + 4],
[607, 607, -3/2*w^3 - 3/2*w^2 + 21/2*w + 13],
[613, 613, -1/2*w^3 + 3/2*w^2 + 11/2*w - 6],
[613, 613, w^3 + w^2 - 8*w - 7],
[617, 617, 2*w^2 - w - 5],
[625, 5, -5],
[653, 653, -1/2*w^3 + 3/2*w^2 + 9/2*w - 3],
[653, 653, -2*w^3 - w^2 + 14*w + 3],
[659, 659, -7/2*w^3 - 1/2*w^2 + 43/2*w + 6],
[661, 661, 5/2*w^3 + 1/2*w^2 - 25/2*w - 5],
[661, 661, w^3 + w^2 - 5*w - 7],
[677, 677, -11/2*w^3 - 3/2*w^2 + 73/2*w + 13],
[683, 683, -7/2*w^3 + 5/2*w^2 + 45/2*w - 16],
[683, 683, -w^3 + 3*w^2 + 5*w - 11],
[691, 691, 2*w^2 - 15],
[691, 691, w^3 + w^2 - 4*w - 5],
[701, 701, -7/2*w^3 - 1/2*w^2 + 47/2*w + 5],
[701, 701, -w^3 + w^2 + 3*w - 5],
[719, 719, 5/2*w^3 + 1/2*w^2 - 27/2*w - 5],
[727, 727, -1/2*w^3 - 1/2*w^2 + 3/2*w - 4],
[733, 733, 3/2*w^3 - 1/2*w^2 - 15/2*w + 1],
[733, 733, -w^3 - 2*w^2 + 5*w + 5],
[733, 733, 1/2*w^3 - 1/2*w^2 + 3/2*w + 2],
[733, 733, 1/2*w^3 + 5/2*w^2 - 5/2*w - 13],
[739, 739, 2*w^2 - 7],
[743, 743, 3/2*w^3 - 1/2*w^2 - 9/2*w + 4],
[743, 743, 2*w^3 - 12*w + 3],
[751, 751, 1/2*w^3 + 1/2*w^2 - 11/2*w - 5],
[751, 751, -1/2*w^3 + 1/2*w^2 + 11/2*w - 2],
[761, 761, -3/2*w^3 + 3/2*w^2 + 23/2*w - 5],
[769, 769, w^3 - 2*w^2 - 5*w + 13],
[787, 787, -3/2*w^3 + 1/2*w^2 + 15/2*w - 3],
[787, 787, 2*w^3 - 10*w - 3],
[797, 797, 3/2*w^3 - 1/2*w^2 - 21/2*w + 7],
[797, 797, -2*w^3 + 2*w^2 + 14*w - 13],
[809, 809, -4*w^3 - 2*w^2 + 25*w + 15],
[821, 821, 2*w^3 + 2*w^2 - 13*w - 11],
[839, 839, -1/2*w^3 + 3/2*w^2 + 3/2*w - 9],
[839, 839, -7/2*w^3 - 5/2*w^2 + 47/2*w + 18],
[841, 29, 3/2*w^3 - 1/2*w^2 - 17/2*w + 10],
[841, 29, 2*w^3 - 15*w + 5],
[853, 853, 2*w^3 - 9*w - 3],
[853, 853, -1/2*w^3 - 3/2*w^2 - 3/2*w + 7],
[857, 857, 3/2*w^3 + 3/2*w^2 - 9/2*w - 4],
[857, 857, w^3 - 3*w^2 - 5*w + 9],
[857, 857, -w^3 + 3*w^2 + 6*w - 13],
[857, 857, 1/2*w^3 + 5/2*w^2 - 7/2*w - 14],
[859, 859, -5/2*w^3 - 1/2*w^2 + 35/2*w + 3],
[863, 863, 2*w^3 - 2*w^2 - 13*w + 9],
[881, 881, 2*w^2 + w - 13],
[881, 881, 5/2*w^3 - 1/2*w^2 - 33/2*w - 1],
[907, 907, -w^3 + 3*w^2 + 6*w - 15],
[919, 919, 3/2*w^3 + 5/2*w^2 - 19/2*w - 4],
[929, 929, 3/2*w^3 + 1/2*w^2 - 19/2*w + 1],
[941, 941, 3/2*w^3 - 1/2*w^2 - 13/2*w],
[947, 947, -1/2*w^3 + 5/2*w^2 + 13/2*w - 11],
[947, 947, -7/2*w^3 - 1/2*w^2 + 43/2*w + 4],
[947, 947, 1/2*w^3 + 1/2*w^2 - 13/2*w - 1],
[947, 947, -4*w - 3],
[953, 953, 3/2*w^3 - 7/2*w^2 - 21/2*w + 22],
[953, 953, 1/2*w^3 + 5/2*w^2 - 3/2*w - 10],
[961, 31, 3/2*w^3 + 3/2*w^2 - 17/2*w - 10],
[967, 967, w^3 - 2*w^2 - 7*w + 7],
[967, 967, 1/2*w^3 - 1/2*w^2 - 5/2*w - 4],
[977, 977, -2*w^3 + 11*w + 1],
[977, 977, 3/2*w^3 + 1/2*w^2 - 25/2*w + 4],
[991, 991, -1/2*w^3 + 1/2*w^2 + 5/2*w - 8],
[997, 997, 1/2*w^3 + 3/2*w^2 - 1/2*w - 7],
[1013, 1013, 2*w^3 - w^2 - 14*w + 5],
[1013, 1013, 3/2*w^3 + 3/2*w^2 - 23/2*w - 3],
[1019, 1019, -1/2*w^3 + 3/2*w^2 + 3/2*w - 12],
[1019, 1019, -3/2*w^3 + 7/2*w^2 + 17/2*w - 22],
[1049, 1049, -5/2*w^3 - 5/2*w^2 + 33/2*w + 15],
[1049, 1049, -3*w^3 - w^2 + 18*w + 3],
[1051, 1051, 3*w^3 - 3*w^2 - 18*w + 17],
[1061, 1061, 3/2*w^3 + 1/2*w^2 - 15/2*w - 7],
[1061, 1061, -3*w - 5],
[1087, 1087, w^2 - 2*w - 7],
[1087, 1087, -w^3 - w^2 + 7*w - 1],
[1091, 1091, 3/2*w^3 - 3/2*w^2 - 23/2*w + 3],
[1093, 1093, 2*w^2 + w + 1],
[1103, 1103, -2*w^3 + w^2 + 12*w - 1],
[1103, 1103, 11/2*w^3 + 3/2*w^2 - 69/2*w - 11],
[1103, 1103, -3/2*w^3 - 3/2*w^2 + 23/2*w + 9],
[1103, 1103, 3/2*w^3 - 3/2*w^2 - 15/2*w + 1],
[1109, 1109, -9/2*w^3 - 1/2*w^2 + 57/2*w + 3],
[1151, 1151, 5/2*w^3 + 5/2*w^2 - 31/2*w - 14],
[1151, 1151, -1/2*w^3 - 1/2*w^2 + 7/2*w - 5],
[1153, 1153, -1/2*w^3 + 5/2*w^2 + 9/2*w - 15],
[1163, 1163, -1/2*w^3 + 3/2*w^2 + 5/2*w - 13],
[1163, 1163, -5/2*w^3 - 1/2*w^2 + 33/2*w + 1],
[1181, 1181, -5/2*w^3 + 1/2*w^2 + 33/2*w - 5],
[1181, 1181, -w^3 + w^2 + 4*w - 9],
[1181, 1181, -5/2*w^3 + 1/2*w^2 + 35/2*w],
[1181, 1181, -3/2*w^3 - 3/2*w^2 + 13/2*w + 6],
[1187, 1187, 7/2*w^3 - 5/2*w^2 - 43/2*w + 15],
[1193, 1193, -3/2*w^3 + 1/2*w^2 + 13/2*w - 2],
[1201, 1201, -2*w^3 - 2*w^2 + 13*w + 5],
[1201, 1201, 3/2*w^3 + 1/2*w^2 - 25/2*w + 2],
[1213, 1213, 3*w^3 - w^2 - 18*w + 3],
[1213, 1213, 3/2*w^3 + 5/2*w^2 - 21/2*w - 6],
[1217, 1217, -1/2*w^3 - 1/2*w^2 + 11/2*w - 7],
[1223, 1223, -1/2*w^3 - 1/2*w^2 - 5/2*w],
[1237, 1237, -w^3 - 2*w^2 + 7*w + 9],
[1259, 1259, -1/2*w^3 + 3/2*w^2 + 11/2*w - 12],
[1279, 1279, 1/2*w^3 + 5/2*w^2 - 3/2*w - 13],
[1279, 1279, 3/2*w^3 - 1/2*w^2 - 11/2*w + 1],
[1297, 1297, -4*w^3 + 25*w - 1],
[1301, 1301, 5/2*w^3 - 1/2*w^2 - 29/2*w + 4],
[1303, 1303, -3/2*w^3 - 1/2*w^2 + 25/2*w + 4],
[1303, 1303, w^3 + w^2 - 7*w + 3],
[1319, 1319, 9/2*w^3 - 9/2*w^2 - 57/2*w + 29],
[1321, 1321, 1/2*w^3 + 5/2*w^2 - 3/2*w - 8],
[1321, 1321, w^2 - 2*w - 9],
[1381, 1381, 1/2*w^3 + 1/2*w^2 - 1/2*w - 7],
[1399, 1399, -1/2*w^3 + 1/2*w^2 + 1/2*w - 7],
[1399, 1399, -w^2 - 3],
[1409, 1409, -5/2*w^3 - 3/2*w^2 + 25/2*w],
[1423, 1423, 5/2*w^3 - 3/2*w^2 - 31/2*w + 5],
[1423, 1423, -w^3 + 9*w - 3],
[1439, 1439, w^3 + 2*w^2 - 7*w - 7],
[1439, 1439, -5/2*w^3 - 5/2*w^2 + 33/2*w + 7],
[1447, 1447, 3/2*w^3 - 5/2*w^2 - 17/2*w + 9],
[1451, 1451, 1/2*w^3 + 5/2*w^2 - 7/2*w - 5],
[1459, 1459, -1/2*w^3 + 1/2*w^2 + 13/2*w],
[1459, 1459, 1/2*w^3 + 3/2*w^2 - 17/2*w - 3],
[1481, 1481, 3/2*w^3 - 3/2*w^2 - 21/2*w + 4],
[1487, 1487, 7/2*w^3 - 1/2*w^2 - 43/2*w + 1],
[1499, 1499, -3/2*w^3 - 5/2*w^2 + 11/2*w + 8],
[1523, 1523, -5/2*w^3 + 1/2*w^2 + 29/2*w - 1],
[1523, 1523, -3/2*w^3 + 1/2*w^2 + 11/2*w + 5],
[1543, 1543, -2*w^3 + 10*w - 3],
[1567, 1567, -1/2*w^3 - 5/2*w^2 + 9/2*w + 5],
[1567, 1567, 2*w^3 - 15*w - 3],
[1579, 1579, 1/2*w^3 + 3/2*w^2 - 3/2*w - 10],
[1579, 1579, -3/2*w^3 + 3/2*w^2 + 13/2*w - 10],
[1597, 1597, -1/2*w^3 - 3/2*w^2 + 11/2*w + 8],
[1601, 1601, 2*w^3 - w^2 - 10*w + 1],
[1601, 1601, 3/2*w^3 + 1/2*w^2 - 21/2*w + 2],
[1613, 1613, -1/2*w^3 - 1/2*w^2 + 5/2*w - 5],
[1619, 1619, 5/2*w^3 - 1/2*w^2 - 29/2*w + 3],
[1619, 1619, 3*w^3 - 3*w^2 - 17*w + 19],
[1621, 1621, w^3 + w^2 - w - 5],
[1621, 1621, 3/2*w^3 + 5/2*w^2 - 23/2*w - 7],
[1637, 1637, -7/2*w^3 + 1/2*w^2 + 45/2*w - 4],
[1657, 1657, -7/2*w^3 - 5/2*w^2 + 45/2*w + 14],
[1669, 1669, -w^3 - w^2 + 2*w + 5],
[1693, 1693, 11/2*w^3 + 1/2*w^2 - 71/2*w - 4],
[1699, 1699, 7/2*w^3 - 9/2*w^2 - 47/2*w + 27],
[1699, 1699, -1/2*w^3 + 5/2*w^2 + 11/2*w - 14],
[1733, 1733, w^3 - 9*w + 1],
[1741, 1741, 5/2*w^3 - 1/2*w^2 - 31/2*w - 4],
[1747, 1747, 7/2*w^3 - 5/2*w^2 - 45/2*w + 12],
[1777, 1777, -3/2*w^3 - 1/2*w^2 + 23/2*w - 3],
[1777, 1777, -1/2*w^3 - 1/2*w^2 - 3/2*w - 3],
[1787, 1787, -2*w^3 - 2*w^2 + 15*w + 5],
[1801, 1801, -1/2*w^3 - 5/2*w^2 + 11/2*w + 6],
[1801, 1801, 1/2*w^3 - 1/2*w^2 - 9/2*w - 5],
[1823, 1823, w^3 + 3*w^2 - 7*w - 17],
[1823, 1823, 5/2*w^3 + 5/2*w^2 - 33/2*w - 9],
[1847, 1847, -w^3 - 3*w^2 + 7*w + 5],
[1861, 1861, -1/2*w^3 + 1/2*w^2 + 9/2*w - 10],
[1861, 1861, -3/2*w^3 + 3/2*w^2 + 17/2*w - 2],
[1871, 1871, -w^3 + w^2 + 10*w - 11],
[1873, 1873, -5*w^3 - w^2 + 31*w + 7],
[1879, 1879, -2*w^3 - w^2 + 8*w + 5],
[1889, 1889, w^3 + w^2 - 7*w - 11],
[1889, 1889, -3/2*w^3 - 1/2*w^2 + 9/2*w + 4],
[1901, 1901, 4*w^3 - 4*w^2 - 26*w + 27],
[1901, 1901, 3/2*w^3 + 3/2*w^2 - 21/2*w - 2],
[1901, 1901, -1/2*w^3 + 1/2*w^2 + 13/2*w - 1],
[1901, 1901, w^2 + 4*w - 3],
[1907, 1907, 1/2*w^3 - 5/2*w^2 - 5/2*w + 19],
[1913, 1913, -2*w^3 + 2*w^2 + 12*w - 7],
[1931, 1931, -w^3 - 3*w^2 + 6*w + 5],
[1973, 1973, 4*w^3 - 4*w^2 - 25*w + 21],
[1973, 1973, 1/2*w^3 + 3/2*w^2 - 3/2*w - 12],
[1979, 1979, -w^3 + 2*w^2 + 9*w - 9],
[1979, 1979, -3/2*w^3 + 3/2*w^2 + 23/2*w - 8],
[1987, 1987, 1/2*w^3 + 5/2*w^2 - 5/2*w - 7],
[1993, 1993, -3*w^3 + 17*w - 3],
[1993, 1993, -1/2*w^3 - 5/2*w^2 + 9/2*w + 11],
[1999, 1999, -2*w^3 + 12*w - 5]];
primes := [ideal<ZF | {F!x : x in I}> : I in primesArray];

heckePol := x^18 - 8*x^17 - 4*x^16 + 188*x^15 - 345*x^14 - 1362*x^13 + 4655*x^12 + 1680*x^11 - 21475*x^10 + 16572*x^9 + 34568*x^8 - 57336*x^7 + 3372*x^6 + 44444*x^5 - 31243*x^4 + 5362*x^3 + 1348*x^2 - 456*x + 32;
K<e> := NumberField(heckePol);

heckeEigenvaluesArray := [e, 494568743648429/21010248265029280*e^17 - 2186287045525303/10505124132514640*e^16 - 305308582883/262628103312866*e^15 + 25572094120900043/5252562066257320*e^14 - 224964544016494317/21010248265029280*e^13 - 182409074751134929/5252562066257320*e^12 + 2864420494502560891/21010248265029280*e^11 + 368287327995178707/10505124132514640*e^10 - 13318560621562357979/21010248265029280*e^9 + 5082197143899620731/10505124132514640*e^8 + 1162903603519917809/1050512413251464*e^7 - 2179813234278309479/1313140516564330*e^6 - 1081393496127563097/5252562066257320*e^5 + 7481441214757104561/5252562066257320*e^4 - 13780597424293403431/21010248265029280*e^3 - 149155658245757369/5252562066257320*e^2 + 227787221151280947/5252562066257320*e - 2456603203680247/1313140516564330, 969241099341877/21010248265029280*e^17 - 4094190264016939/10505124132514640*e^16 - 12321837318825/262628103312866*e^15 + 47070149180780499/5252562066257320*e^14 - 410663355349220661/21010248265029280*e^13 - 319795990355259467/5252562066257320*e^12 + 5229706330561429283/21010248265029280*e^11 + 270203719526002471/10505124132514640*e^10 - 23650979404566976307/21010248265029280*e^9 + 11265023735689794423/10505124132514640*e^8 + 1866017649391376273/1050512413251464*e^7 - 4437443758722149857/1313140516564330*e^6 + 1351665118832227159/5252562066257320*e^5 + 14168552456419441113/5252562066257320*e^4 - 36163456452065462143/21010248265029280*e^3 + 665440088179324793/5252562066257320*e^2 + 600185849316999751/5252562066257320*e - 21338161806125771/1313140516564330, 158746952771385/1050512413251464*e^17 - 655030453646935/525256206625732*e^16 - 56565627147661/131314051656433*e^15 + 7698897770584179/262628103312866*e^14 - 59986540212126889/1050512413251464*e^13 - 55742713217003995/262628103312866*e^12 + 795361584264235583/1050512413251464*e^11 + 134553562810069839/525256206625732*e^10 - 3699208501909990055/1050512413251464*e^9 + 1393526129980109543/525256206625732*e^8 + 1557249812737102535/262628103312866*e^7 - 1218614174889033036/131314051656433*e^6 - 82927942163443989/262628103312866*e^5 + 2010800098792160045/262628103312866*e^4 - 4648597962823950419/1050512413251464*e^3 + 76212450050203199/262628103312866*e^2 + 73755848190106305/262628103312866*e - 4930820072918406/131314051656433, 2555075177055383/10505124132514640*e^17 - 9737551532470481/5252562066257320*e^16 - 223684959352283/131314051656433*e^15 + 118683578559956141/2626281033128660*e^14 - 693708246895457479/10505124132514640*e^13 - 943667637191897353/2626281033128660*e^12 + 10387177263410950497/10505124132514640*e^11 + 4283680290519915709/5252562066257320*e^10 - 51306125897556572913/10505124132514640*e^9 + 10580990774680898917/5252562066257320*e^8 + 4792987152540670519/525256206625732*e^7 - 6604009688723815198/656570258282165*e^6 - 7918653029711774399/2626281033128660*e^5 + 23982612209565663607/2626281033128660*e^4 - 42167544008572772917/10505124132514640*e^3 + 130096614758909927/2626281033128660*e^2 + 663724638836164609/2626281033128660*e - 21137400703440169/656570258282165, -1, -488395678011819/5252562066257320*e^17 + 418765584446677/656570258282165*e^16 + 144574938645795/131314051656433*e^15 - 21357263610983723/1313140516564330*e^14 + 71589861151597787/5252562066257320*e^13 + 375900271358969983/2626281033128660*e^12 - 1434380299556390481/5252562066257320*e^11 - 311779354045541768/656570258282165*e^10 + 7839103330358923589/5252562066257320*e^9 + 228484899901679487/1313140516564330*e^8 - 837035680360570335/262628103312866*e^7 + 1156658546465600253/656570258282165*e^6 + 2674864431420825227/1313140516564330*e^5 - 2729277372855451711/1313140516564330*e^4 + 1693627362480851041/5252562066257320*e^3 + 322782109913008513/2626281033128660*e^2 - 16650206723717166/656570258282165*e - 22066097831936/656570258282165, 698989882338581/10505124132514640*e^17 - 2991005364761797/5252562066257320*e^16 + 2934228002274/131314051656433*e^15 + 33645759118109907/2626281033128660*e^14 - 317799376879015653/10505124132514640*e^13 - 106901362927853403/1313140516564330*e^12 + 3915870878574415259/10505124132514640*e^11 - 185896251353326087/5252562066257320*e^10 - 17077162063384635491/10505124132514640*e^9 + 9843594996595108789/5252562066257320*e^8 + 1202971907153789713/525256206625732*e^7 - 3583490235709873246/656570258282165*e^6 + 3227200944846679167/2626281033128660*e^5 + 10706518658608302329/2626281033128660*e^4 - 33916017563535768239/10505124132514640*e^3 + 274895944594019811/656570258282165*e^2 + 548271394519300433/2626281033128660*e - 18542630934877723/656570258282165, 276026763902731/10505124132514640*e^17 - 1195731303469347/5252562066257320*e^16 + 10196477821164/131314051656433*e^15 + 12703391681729637/2626281033128660*e^14 - 141322059543867723/10505124132514640*e^13 - 32613142145650423/1313140516564330*e^12 + 1636824157631278389/10505124132514640*e^11 - 474574695949830177/5252562066257320*e^10 - 6556703848592856301/10505124132514640*e^9 + 5695368069354887579/5252562066257320*e^8 + 318728315677064499/525256206625732*e^7 - 1847433032323543206/656570258282165*e^6 + 3500871891754949017/2626281033128660*e^5 + 5146807753180955499/2626281033128660*e^4 - 21073488547452194929/10505124132514640*e^3 + 193179064021472991/656570258282165*e^2 + 397675011612312903/2626281033128660*e - 11769814717702253/656570258282165, -1680832519607677/10505124132514640*e^17 + 6012713832156749/5252562066257320*e^16 + 213192736778045/131314051656433*e^15 - 75587078842193579/2626281033128660*e^14 + 321220918377471581/10505124132514640*e^13 + 322510741506852071/1313140516564330*e^12 - 5636786300538927123/10505124132514640*e^11 - 3874823134900598801/5252562066257320*e^10 + 29713886123055016267/10505124132514640*e^9 - 1143114410302245253/5252562066257320*e^8 - 3058544550547977521/525256206625732*e^7 + 2812001684181354122/656570258282165*e^6 + 8643483921566932781/2626281033128660*e^5 - 12147742095805073333/2626281033128660*e^4 + 11172245116517951063/10505124132514640*e^3 + 213995841849983828/656570258282165*e^2 - 243859791319939961/2626281033128660*e + 1035971526023781/656570258282165, 2049321665473143/10505124132514640*e^17 - 7218659922286781/5252562066257320*e^16 - 281300811162917/131314051656433*e^15 + 91565771814015521/2626281033128660*e^14 - 346563330160757159/10505124132514640*e^13 - 797093484686900623/2626281033128660*e^12 + 6448837883120622417/10505124132514640*e^11 + 5119246648408904369/5252562066257320*e^10 - 34559723048291710593/10505124132514640*e^9 - 846812422063397783/5252562066257320*e^8 + 3618394781797473955/525256206625732*e^7 - 2754821468481784613/656570258282165*e^6 - 10878773833621334119/2626281033128660*e^5 + 12259203321295964187/2626281033128660*e^4 - 9988670177668323957/10505124132514640*e^3 - 389682216256828823/2626281033128660*e^2 + 84864961988894789/2626281033128660*e - 2419499612594629/656570258282165, -1141760867358281/10505124132514640*e^17 + 3309620428064487/5252562066257320*e^16 + 253756949091086/131314051656433*e^15 - 44824243435919527/2626281033128660*e^14 - 7616235301177207/10505124132514640*e^13 + 442446507267268871/2626281033128660*e^12 - 1774833234417428319/10505124132514640*e^11 - 3865000482486445363/5252562066257320*e^10 + 12709579041119579071/10505124132514640*e^9 + 7022946772578657341/5252562066257320*e^8 - 1736843313529817877/525256206625732*e^7 - 282152220543845739/656570258282165*e^6 + 9654087557701748373/2626281033128660*e^5 - 2513807738527208429/2626281033128660*e^4 - 14394231298688111461/10505124132514640*e^3 + 1465899761136781731/2626281033128660*e^2 + 158226317115927017/2626281033128660*e - 12277614070976647/656570258282165, 1514229209912701/2626281033128660*e^17 - 11596357103158489/2626281033128660*e^16 - 488099744001386/131314051656433*e^15 + 69935439944630437/656570258282165*e^14 - 430614701088817733/2626281033128660*e^13 - 2168309625673040649/2626281033128660*e^12 + 6290168005836219389/2626281033128660*e^11 + 4321532795742179761/2626281033128660*e^10 - 30482157860709818051/2626281033128660*e^9 + 15999725102198937443/2626281033128660*e^8 + 2726709886960862058/131314051656433*e^7 - 17302303011912294764/656570258282165*e^6 - 2826260257601330883/656570258282165*e^5 + 15044678913309449339/656570258282165*e^4 - 31580798571340152759/2626281033128660*e^3 + 1747659884002514861/2626281033128660*e^2 + 1036673721969036681/1313140516564330*e - 65171199150039232/656570258282165, -3602727944630249/10505124132514640*e^17 + 14308784972040823/5252562066257320*e^16 + 193570671274821/131314051656433*e^15 - 168604928654964763/2626281033128660*e^14 + 1218766303423040777/10505124132514640*e^13 + 1229790022127023059/2626281033128660*e^12 - 16615670256550576751/10505124132514640*e^11 - 3196126602767767267/5252562066257320*e^10 + 77400138204899144799/10505124132514640*e^9 - 29162725570382316971/5252562066257320*e^8 - 6387471745349575333/525256206625732*e^7 + 12919283707242311544/656570258282165*e^6 - 805205966886496443/2626281033128660*e^5 - 42159971833468256841/2626281033128660*e^4 + 107439593545554309051/10505124132514640*e^3 - 2412352554136842541/2626281033128660*e^2 - 1829344242912473827/2626281033128660*e + 61757171194043827/656570258282165, 1431382487097451/5252562066257320*e^17 - 2962611932544461/1313140516564330*e^16 - 95266901546782/131314051656433*e^15 + 69452093472380877/1313140516564330*e^14 - 546671871419547283/5252562066257320*e^13 - 998522420972909017/2626281033128660*e^12 + 7202433810654028929/5252562066257320*e^11 + 562492083242499859/1313140516564330*e^10 - 33258617029040142701/5252562066257320*e^9 + 3239352031150663561/656570258282165*e^8 + 2744749348887766491/262628103312866*e^7 - 11128045484229535012/656570258282165*e^6 + 120781471078370837/1313140516564330*e^5 + 17988803088086665679/1313140516564330*e^4 - 44763969066277942049/5252562066257320*e^3 + 2139101503399046773/2626281033128660*e^2 + 349567630300932179/656570258282165*e - 52259813585564596/656570258282165, 1060413023054307/2101024826502928*e^17 - 4061568526831943/1050512413251464*e^16 - 421829506762088/131314051656433*e^15 + 48885070354324649/525256206625732*e^14 - 303440784758519571/2101024826502928*e^13 - 94221069212078473/131314051656433*e^12 + 4415451687640239709/2101024826502928*e^11 + 1456983549276005867/1050512413251464*e^10 - 21322626886219800229/2101024826502928*e^9 + 5857347614466226071/1050512413251464*e^8 + 9456918441327228379/525256206625732*e^7 - 3092239110421260563/131314051656433*e^6 - 1735323893433707855/525256206625732*e^5 + 10691197363237632739/525256206625732*e^4 - 22865293728527856729/2101024826502928*e^3 + 167070131497300161/262628103312866*e^2 + 364612109460480435/525256206625732*e - 11967649908655877/131314051656433, -38532169455557/2101024826502928*e^17 - 84437751960795/1050512413251464*e^16 + 208309480786426/131314051656433*e^15 - 293040921180131/525256206625732*e^14 - 68042805486564411/2101024826502928*e^13 + 13868967564410555/262628103312866*e^12 + 541460692162348885/2101024826502928*e^11 - 676043307987354457/1050512413251464*e^10 - 1612896926395899325/2101024826502928*e^9 + 3256536272791737955/1050512413251464*e^8 - 34970668522698109/525256206625732*e^7 - 822717618762271598/131314051656433*e^6 + 2002995183306886421/525256206625732*e^5 + 2041577219171106163/525256206625732*e^4 - 8696862527391369281/2101024826502928*e^3 + 80795184961141576/131314051656433*e^2 + 122457301632510079/525256206625732*e - 4437125485094265/131314051656433, -472258497365083/5252562066257320*e^17 + 308815721476569/656570258282165*e^16 + 249399278986832/131314051656433*e^15 - 17536125778965741/1313140516564330*e^14 - 43289160492197021/5252562066257320*e^13 + 373955816784105391/2626281033128660*e^12 - 383253686837415337/5252562066257320*e^11 - 468427728463182991/656570258282165*e^10 + 4117823953236989053/5252562066257320*e^9 + 2255555006626195449/1313140516564330*e^8 - 705949591877058401/262628103312866*e^7 - 1096267260120194114/656570258282165*e^6 + 5194477342032218699/1313140516564330*e^5 - 32989296375844137/1313140516564330*e^4 - 11579520846940022783/5252562066257320*e^3 + 1856709699417507361/2626281033128660*e^2 + 87926218696565783/656570258282165*e - 27217811679311932/656570258282165, 5478854292924193/10505124132514640*e^17 - 21365015686364961/5252562066257320*e^16 - 390948250035391/131314051656433*e^15 + 256658547581486871/2626281033128660*e^14 - 1664033890571381969/10505124132514640*e^13 - 984648294539612379/1313140516564330*e^12 + 23744319546851314607/10505124132514640*e^11 + 7406344098638396629/5252562066257320*e^10 - 114079127092882576823/10505124132514640*e^9 + 31916886979825354977/5252562066257320*e^8 + 10096381146227873869/525256206625732*e^7 - 16516156000513098053/656570258282165*e^6 - 9197661358411103429/2626281033128660*e^5 + 56719837327166733797/2626281033128660*e^4 - 122581733910022036867/10505124132514640*e^3 + 485310977507147338/656570258282165*e^2 + 2073825630963610569/2626281033128660*e - 69590141640639009/656570258282165, 441486310501163/2101024826502928*e^17 - 1807897429270047/1050512413251464*e^16 - 87367666359554/131314051656433*e^15 + 21299289594709117/525256206625732*e^14 - 163434187776791307/2101024826502928*e^13 - 38794777320018750/131314051656433*e^12 + 2184909216486924341/2101024826502928*e^11 + 396511168013400875/1050512413251464*e^10 - 10224143105162675229/2101024826502928*e^9 + 3744890494663575815/1050512413251464*e^8 + 4363107932275243963/525256206625732*e^7 - 1662857384108598875/131314051656433*e^6 - 399505109685022511/525256206625732*e^5 + 5560613830740446711/525256206625732*e^4 - 12357941907484156993/2101024826502928*e^3 + 69464807278171277/262628103312866*e^2 + 224166477522664647/525256206625732*e - 6232710461136011/131314051656433, -86095846609467/656570258282165*e^17 + 2692424705996607/2626281033128660*e^16 + 124296822421755/131314051656433*e^15 - 16761846380050736/656570258282165*e^14 + 23205711725173016/656570258282165*e^13 + 560394734925988537/2626281033128660*e^12 - 708357432339148271/1313140516564330*e^11 - 1569713869381864883/2626281033128660*e^10 + 1798825160519711342/656570258282165*e^9 - 1191851150893391929/2626281033128660*e^8 - 720944922448841488/131314051656433*e^7 + 2788016894867098797/656570258282165*e^6 + 1888604558822953834/656570258282165*e^5 - 2743347191952986942/656570258282165*e^4 + 807645143721096018/656570258282165*e^3 + 91091139503454947/2626281033128660*e^2 - 122731612181230723/1313140516564330*e + 9638623179688376/656570258282165, -71160674685991/2101024826502928*e^17 + 389459898493805/1050512413251464*e^16 - 51122673624025/131314051656433*e^15 - 4360259659501801/525256206625732*e^14 + 54092488678038471/2101024826502928*e^13 + 27144391227722439/525256206625732*e^12 - 617786915498023393/2101024826502928*e^11 + 42244854181965087/1050512413251464*e^10 + 2742170551596617089/2101024826502928*e^9 - 1398638254164165961/1050512413251464*e^8 - 1135684582272692463/525256206625732*e^7 + 516621776080598223/131314051656433*e^6 + 82046174957016491/525256206625732*e^5 - 1733088140738323483/525256206625732*e^4 + 3256794035909087685/2101024826502928*e^3 + 74979206125964943/525256206625732*e^2 - 66991685803486061/525256206625732*e + 479509906226185/131314051656433, 1162241718992817/2626281033128660*e^17 - 9299681643590833/2626281033128660*e^16 - 275575055488046/131314051656433*e^15 + 55702934774112714/656570258282165*e^14 - 383484576998725841/2626281033128660*e^13 - 1696967132147776653/2626281033128660*e^12 + 5339664233271102913/2626281033128660*e^11 + 3043843487505793257/2626281033128660*e^10 - 25544714522547485267/2626281033128660*e^9 + 14748164869164619311/2626281033128660*e^8 + 2272172957380360088/131314051656433*e^7 - 14853868922518677133/656570258282165*e^6 - 2345379517731957506/656570258282165*e^5 + 12775737683311858513/656570258282165*e^4 - 26233617506792607863/2626281033128660*e^3 + 1277147667503315597/2626281033128660*e^2 + 856649747346538317/1313140516564330*e - 57283422147250514/656570258282165, -3594196057186719/10505124132514640*e^17 + 13922499301108203/5252562066257320*e^16 + 245882599397335/131314051656433*e^15 - 165648537127582673/2626281033128660*e^14 + 1109435691238348927/10505124132514640*e^13 + 309910968499071551/656570258282165*e^12 - 15662354041053167681/10505124132514640*e^11 - 3954391770619226007/5252562066257320*e^10 + 74421315424353266329/10505124132514640*e^9 - 24715227337794546971/5252562066257320*e^8 - 6399888913934903427/525256206625732*e^7 + 11733538292490324694/656570258282165*e^6 + 3125745053186036087/2626281033128660*e^5 - 39485572741609940751/2626281033128660*e^4 + 89192875367921586461/10505124132514640*e^3 - 739973576244137433/1313140516564330*e^2 - 1305817901191538087/2626281033128660*e + 44589294983475247/656570258282165, -4755688888597947/10505124132514640*e^17 + 19080286301099839/5252562066257320*e^16 + 254040482419325/131314051656433*e^15 - 226559794784703989/2626281033128660*e^14 + 1621421477268352651/10505124132514640*e^13 + 421552355368992158/656570258282165*e^12 - 22225101184165059413/10505124132514640*e^11 - 5159750987251581691/5252562066257320*e^10 + 104954418556365228317/10505124132514640*e^9 - 35095818962368134863/5252562066257320*e^8 - 9054329588740859799/525256206625732*e^7 + 16427071372532164802/656570258282165*e^6 + 5341839015752168351/2626281033128660*e^5 - 55515645523149135043/2626281033128660*e^4 + 122254816456112056273/10505124132514640*e^3 - 761718488166014799/1313140516564330*e^2 - 1962312020159862171/2626281033128660*e + 58737144885376001/656570258282165, -492222993217843/5252562066257320*e^17 + 595352391435509/656570258282165*e^16 - 75981915486225/131314051656433*e^15 - 26312158535352611/1313140516564330*e^14 + 300002816021093259/5252562066257320*e^13 + 314053968115144951/2626281033128660*e^12 - 3482902865381288977/5252562066257320*e^11 + 104535766168871444/656570258282165*e^10 + 14976460643691220413/5252562066257320*e^9 - 4551595780823549601/1313140516564330*e^8 - 1071318634018191173/262628103312866*e^7 + 6395125268617892991/656570258282165*e^6 - 2349608826840886201/1313140516564330*e^5 - 9727231319637267967/1313140516564330*e^4 + 27502342484299603617/5252562066257320*e^3 - 1207357853642744519/2626281033128660*e^2 - 203890828891017237/656570258282165*e + 22280938587117648/656570258282165, 2887420051001933/10505124132514640*e^17 - 11381694726466851/5252562066257320*e^16 - 162943186453841/131314051656433*e^15 + 134069051182328851/2626281033128660*e^14 - 960259817449075389/10505124132514640*e^13 - 977016088923527123/2626281033128660*e^12 + 13160551214684496667/10505124132514640*e^11 + 2518729918883507599/5252562066257320*e^10 - 61416126219181048203/10505124132514640*e^9 + 23301232656803515247/5252562066257320*e^8 + 5079975989708372005/525256206625732*e^7 - 10301937143342921863/656570258282165*e^6 + 465032556615117731/2626281033128660*e^5 + 33607239873483791297/2626281033128660*e^4 - 84376477216136358407/10505124132514640*e^3 + 1913713799382050617/2626281033128660*e^2 + 1371747921399492419/2626281033128660*e - 46178956151425369/656570258282165, 315688641083431/656570258282165*e^17 - 9350040296516601/2626281033128660*e^16 - 512638109465377/131314051656433*e^15 + 57308046489545648/656570258282165*e^14 - 76338144486372463/656570258282165*e^13 - 1848079741214680751/2626281033128660*e^12 + 2387306169346011893/1313140516564330*e^11 + 4471954724101113069/2626281033128660*e^10 - 5970039302257023896/656570258282165*e^9 + 8548183511709371387/2626281033128660*e^8 + 2253615646081627946/131314051656433*e^7 - 11883318895506780571/656570258282165*e^6 - 3927601678409565612/656570258282165*e^5 + 10994124296962951496/656570258282165*e^4 - 4728074560458089294/656570258282165*e^3 + 60106472316264699/2626281033128660*e^2 + 562618362098590889/1313140516564330*e - 30820071790497238/656570258282165, -5330509292550803/10505124132514640*e^17 + 20796938394562121/5252562066257320*e^16 + 382206156558197/131314051656433*e^15 - 250290393907525461/2626281033128660*e^14 + 1619523910239012819/10505124132514640*e^13 + 1928715012344257023/2626281033128660*e^12 - 23186711038435653077/10505124132514640*e^11 - 7422702650431407549/5252562066257320*e^10 + 112078514231302743813/10505124132514640*e^9 - 30297052976013595157/5252562066257320*e^8 - 10096190473632480631/525256206625732*e^7 + 15988841853373812823/656570258282165*e^6 + 11921365047959167139/2626281033128660*e^5 - 55952688802008127007/2626281033128660*e^4 + 109820715591913003497/10505124132514640*e^3 - 826048569156266617/2626281033128660*e^2 - 1732498916963674609/2626281033128660*e + 47241899927218409/656570258282165, 7587190687606981/10505124132514640*e^17 - 28100441431258907/5252562066257320*e^16 - 792795331047622/131314051656433*e^15 + 346511044328987687/2626281033128660*e^14 - 1794185494188471493/10505124132514640*e^13 - 2832437141612154811/2626281033128660*e^12 + 28442857673503224259/10505124132514640*e^11 + 14533284755799178503/5252562066257320*e^10 - 143780377851566181811/10505124132514640*e^9 + 20878230612782328319/5252562066257320*e^8 + 13892827808101730501/525256206625732*e^7 - 16715254151331418541/656570258282165*e^6 - 28691925831274334353/2626281033128660*e^5 + 63586156095447520189/2626281033128660*e^4 - 96829476826076186479/10505124132514640*e^3 - 689425186553390911/2626281033128660*e^2 + 1518768476258488903/2626281033128660*e - 31473470443835553/656570258282165, 1712019753846779/1313140516564330*e^17 - 12622093739234051/1313140516564330*e^16 - 1432475806054875/131314051656433*e^15 + 155175615130101251/656570258282165*e^14 - 403356113841445397/1313140516564330*e^13 - 2519141733197250341/1313140516564330*e^12 + 6383157137017933541/1313140516564330*e^11 + 6277109086703751569/1313140516564330*e^10 - 32110601345711492039/1313140516564330*e^9 + 10481796527150735957/1313140516564330*e^8 + 6121321676509545948/131314051656433*e^7 - 31071629158477397947/656570258282165*e^6 - 11436967740509346499/656570258282165*e^5 + 29090624897626151657/656570258282165*e^4 - 24103820279980232771/1313140516564330*e^3 - 142559662183457691/1313140516564330*e^2 + 781943354004739859/656570258282165*e - 79046064564328946/656570258282165, 251588308836823/2626281033128660*e^17 - 317115226717928/656570258282165*e^16 - 285111088437358/131314051656433*e^15 + 9185308341161191/656570258282165*e^14 + 33940586421954281/2626281033128660*e^13 - 202222117219772891/1313140516564330*e^12 + 90131514263488997/2626281033128660*e^11 + 534871135939479342/656570258282165*e^10 - 1634147035650797613/2626281033128660*e^9 - 1424696619921394749/656570258282165*e^8 + 309387388926708278/131314051656433*e^7 + 1770206403098903338/656570258282165*e^6 - 2409339021642328434/656570258282165*e^5 - 692260898962994923/656570258282165*e^4 + 5615617469827050723/2626281033128660*e^3 - 366952083036217121/1313140516564330*e^2 - 92816815240281101/656570258282165*e + 7474215606997904/656570258282165, -285272868917269/1313140516564330*e^17 + 4406465762607147/2626281033128660*e^16 + 206454457062589/131314051656433*e^15 - 27214692772349326/656570258282165*e^14 + 76286342941826707/1313140516564330*e^13 + 893207629591082697/2626281033128660*e^12 - 579707553959937518/656570258282165*e^11 - 2326465432348496723/2626281033128660*e^10 + 5825501310605078119/1313140516564330*e^9 - 3068650697538872709/2626281033128660*e^8 - 1134542358187308860/131314051656433*e^7 + 5147759344370129792/656570258282165*e^6 + 2524052654712034319/656570258282165*e^5 - 4935753177466955147/656570258282165*e^4 + 3555819402175734241/1313140516564330*e^3 + 252224606955424927/2626281033128660*e^2 - 250740539729956583/1313140516564330*e + 11400259675071566/656570258282165, -4134737162077591/10505124132514640*e^17 + 15290776258573177/5252562066257320*e^16 + 440104225550120/131314051656433*e^15 - 189024316420256417/2626281033128660*e^14 + 961835055118971063/10505124132514640*e^13 + 1553861109934387361/2626281033128660*e^12 - 15368877996611943969/10505124132514640*e^11 - 8152177936772721693/5252562066257320*e^10 + 77995394373249810481/10505124132514640*e^9 - 10324903302789591709/5252562066257320*e^8 - 7584810389479226919/525256206625732*e^7 + 8867139036525328641/656570258282165*e^6 + 16224752488772554363/2626281033128660*e^5 - 34226694805691196859/2626281033128660*e^4 + 50949659908851710789/10505124132514640*e^3 + 609530774153446341/2626281033128660*e^2 - 972694399997267433/2626281033128660*e + 26462076153497523/656570258282165, 921210041772873/2626281033128660*e^17 - 3616924931600621/1313140516564330*e^16 - 221438442222206/131314051656433*e^15 + 42664431672820551/656570258282165*e^14 - 298300846614130369/2626281033128660*e^13 - 312225681706163973/656570258282165*e^12 + 4105901996687839467/2626281033128660*e^11 + 839982645473522229/1313140516564330*e^10 - 19067417461373151083/2626281033128660*e^9 + 7184218648885995917/1313140516564330*e^8 + 1542426835079962028/131314051656433*e^7 - 12773896481292390012/656570258282165*e^6 + 731943590636703401/656570258282165*e^5 + 10211300372520565722/656570258282165*e^4 - 28338357564466966347/2626281033128660*e^3 + 881382960076355547/656570258282165*e^2 + 468291887800725259/656570258282165*e - 78578472079295216/656570258282165, -70857956521252/656570258282165*e^17 + 1367265593271541/1313140516564330*e^16 - 76985807990313/131314051656433*e^15 - 15272222286580806/656570258282165*e^14 + 41822013267605896/656570258282165*e^13 + 189529775026404031/1313140516564330*e^12 - 488900130994218173/656570258282165*e^11 + 144400012168371371/1313140516564330*e^10 + 2109280844823738452/656570258282165*e^9 - 4765936829944979027/1313140516564330*e^8 - 605973145597592875/131314051656433*e^7 + 6816040962536272662/656570258282165*e^6 - 1314470309249961556/656570258282165*e^5 - 5065347475219354922/656570258282165*e^4 + 3908688940698300923/656570258282165*e^3 - 1049177976921009719/1313140516564330*e^2 - 253862562089966574/656570258282165*e + 45687948237003026/656570258282165, 114608052112071/656570258282165*e^17 - 3305956029283991/2626281033128660*e^16 - 215417163299053/131314051656433*e^15 + 20579438013869828/656570258282165*e^14 - 24168020645957063/656570258282165*e^13 - 687585315147403281/2626281033128660*e^12 + 811429092752878023/1313140516564330*e^11 + 1915408470419451819/2626281033128660*e^10 - 2111596269383106446/656570258282165*e^9 + 1582012560720847197/2626281033128660*e^8 + 859340782595232284/131314051656433*e^7 - 3555037787225486791/656570258282165*e^6 - 2343586974283572262/656570258282165*e^5 + 3623799523111542916/656570258282165*e^4 - 844663079153878174/656570258282165*e^3 - 751638833906753691/2626281033128660*e^2 + 63741552386297339/1313140516564330*e - 10183268270574238/656570258282165, -106691989018161/2101024826502928*e^17 + 256826611616135/1050512413251464*e^16 + 150243099531118/131314051656433*e^15 - 3670830885375467/525256206625732*e^14 - 13822372236713103/2101024826502928*e^13 + 39513809545307643/525256206625732*e^12 - 46962088673656903/2101024826502928*e^11 - 401063431478730483/1050512413251464*e^10 + 758927132598960919/2101024826502928*e^9 + 980669196724786821/1050512413251464*e^8 - 721300176680112933/525256206625732*e^7 - 121255354714408439/131314051656433*e^6 + 1156357335146681621/525256206625732*e^5 - 4943993830669125/525256206625732*e^4 - 2912051389484411165/2101024826502928*e^3 + 203414881199399867/525256206625732*e^2 + 84948054967323517/525256206625732*e - 3744887589075075/131314051656433, 1931674348691469/5252562066257320*e^17 - 7351203447912403/2626281033128660*e^16 - 291820015637786/131314051656433*e^15 + 87481637025513063/1313140516564330*e^14 - 566056286985581117/5252562066257320*e^13 - 655051939476895209/1313140516564330*e^12 + 8111887385645471051/5252562066257320*e^11 + 2098298117810419587/2626281033128660*e^10 - 38584459474487776059/5252562066257320*e^9 + 13002913835377347971/2626281033128660*e^8 + 3289083411530820569/262628103312866*e^7 - 12365650920417980843/656570258282165*e^6 - 1044369071592812157/1313140516564330*e^5 + 20799372250761881671/1313140516564330*e^4 - 48564042935228347591/5252562066257320*e^3 + 799687254789044311/1313140516564330*e^2 + 759971660949491627/1313140516564330*e - 47255063771109424/656570258282165, -1059564576857745/2101024826502928*e^17 + 3893062048778421/1050512413251464*e^16 + 571708367450231/131314051656433*e^15 - 48081060220581911/525256206625732*e^14 + 243099967261289569/2101024826502928*e^13 + 98602599028027468/131314051656433*e^12 - 3905104112976176159/2101024826502928*e^11 - 2051714496684540137/1050512413251464*e^10 + 19842869719086831015/2101024826502928*e^9 - 2735888245544239141/1050512413251464*e^8 - 9656367290084847129/525256206625732*e^7 + 2285230395923024232/131314051656433*e^6 + 4153059311250101881/525256206625732*e^5 - 8805665677046219693/525256206625732*e^4 + 12760698643580934995/2101024826502928*e^3 + 88682328079183271/262628103312866*e^2 - 211351455324930337/525256206625732*e + 5887494496902193/131314051656433, -3194978654913669/5252562066257320*e^17 + 11619871320956163/2626281033128660*e^16 + 736313868542466/131314051656433*e^15 - 144417559375284653/1313140516564330*e^14 + 683978675044070197/5252562066257320*e^13 + 1202262902847194829/1313140516564330*e^12 - 11318693978852301211/5252562066257320*e^11 - 6635128871546473907/2626281033128660*e^10 + 58077377735492795219/5252562066257320*e^9 - 5775195766615762731/2626281033128660*e^8 - 5718328357456774905/262628103312866*e^7 + 12346093135334442483/656570258282165*e^6 + 13064154300215731517/1313140516564330*e^5 - 24043322581174753101/1313140516564330*e^4 + 34038519169000217511/5252562066257320*e^3 + 51832141029567699/1313140516564330*e^2 - 445040667332318947/1313140516564330*e + 34790182850665884/656570258282165, 3109311325409583/10505124132514640*e^17 - 12266587299563781/5252562066257320*e^16 - 183607211426286/131314051656433*e^15 + 145307624709900501/2626281033128660*e^14 - 1019729415602240879/10505124132514640*e^13 - 1074890049079959023/2626281033128660*e^12 + 14088296313337797577/10505124132514640*e^11 + 3141942178023623129/5252562066257320*e^10 - 66276501338806266953/10505124132514640*e^9 + 23285803249124188577/5252562066257320*e^8 + 5601767684508388243/525256206625732*e^7 - 10703635183014328908/656570258282165*e^6 - 1339719203836315779/2626281033128660*e^5 + 35701099671721950267/2626281033128660*e^4 - 85059570188355802557/10505124132514640*e^3 + 1421092648694782017/2626281033128660*e^2 + 1483515098293333489/2626281033128660*e - 50175971657027689/656570258282165, -1811727644866637/5252562066257320*e^17 + 6861769284232329/2626281033128660*e^16 + 321317305693425/131314051656433*e^15 - 83359071671853759/1313140516564330*e^14 + 485759841031135061/5252562066257320*e^13 + 328769397187070426/656570258282165*e^12 - 7275183913974587123/5252562066257320*e^11 - 2870787015444019981/2626281033128660*e^10 + 35721961127056363667/5252562066257320*e^9 - 8113686891035409073/2626281033128660*e^8 - 3274149633941229399/262628103312866*e^7 + 9626706919209445544/656570258282165*e^6 + 4460003563838364831/1313140516564330*e^5 - 17284406343558005693/1313140516564330*e^4 + 33287491809125272103/5252562066257320*e^3 - 79961080212601409/656570258282165*e^2 - 562989305579838391/1313140516564330*e + 29372758876206002/656570258282165, -722624077260927/10505124132514640*e^17 + 1404641235413359/5252562066257320*e^16 + 304656753169602/131314051656433*e^15 - 26656092425043509/2626281033128660*e^14 - 291645421224735249/10505124132514640*e^13 + 197454077571162881/1313140516564330*e^12 + 1270017043567406287/10505124132514640*e^11 - 5747071132824302771/5252562066257320*e^10 + 1396658288282761897/10505124132514640*e^9 + 21157926032732902537/5252562066257320*e^8 - 1379065917107273171/525256206625732*e^7 - 4486806135015826643/656570258282165*e^6 + 18516101839600777171/2626281033128660*e^5 + 9040074154856287597/2626281033128660*e^4 - 59754383329458802707/10505124132514640*e^3 + 742617573381783493/656570258282165*e^2 + 855297461605363429/2626281033128660*e - 48820090571432099/656570258282165, -4973102130720229/5252562066257320*e^17 + 19158883620868623/2626281033128660*e^16 + 792291236677560/131314051656433*e^15 - 231823496222428773/1313140516564330*e^14 + 1428757417745483317/5252562066257320*e^13 + 1810864912404582969/1313140516564330*e^12 - 20881214373068194051/5252562066257320*e^11 - 7520561022932669127/2626281033128660*e^10 + 101793532764669432339/5252562066257320*e^9 - 24829933614823311031/2626281033128660*e^8 - 9280128416890038793/262628103312866*e^7 + 27911040574925388643/656570258282165*e^6 + 12296186637565002117/1313140516564330*e^5 - 49417886494491727361/1313140516564330*e^4 + 95334242000802809471/5252562066257320*e^3 - 738054044639514111/1313140516564330*e^2 - 1566535676024639827/1313140516564330*e + 102829265462219454/656570258282165, 633610303570915/2101024826502928*e^17 - 2520766413137221/1050512413251464*e^16 - 229156503365473/131314051656433*e^15 + 30831926997082557/525256206625732*e^14 - 194136229048697459/2101024826502928*e^13 - 247060318363181257/525256206625732*e^12 + 2815987226413793493/2101024826502928*e^11 + 1158854426638219313/1050512413251464*e^10 - 13971284207258243269/2101024826502928*e^9 + 2560443621904594281/1050512413251464*e^8 + 6758780387004439359/525256206625732*e^7 - 1691427468333081525/131314051656433*e^6 - 2980856024486787875/525256206625732*e^5 + 6422057712767562895/525256206625732*e^4 - 8509100804429093033/2101024826502928*e^3 - 271786388130577769/525256206625732*e^2 + 153771915015659665/525256206625732*e - 705688861138889/131314051656433, 2886481657103173/10505124132514640*e^17 - 11452364249933611/5252562066257320*e^16 - 144119478607869/131314051656433*e^15 + 134082386723710931/2626281033128660*e^14 - 998223965165491429/10505124132514640*e^13 - 960745393454633603/2626281033128660*e^12 + 13492285872896425267/10505124132514640*e^11 + 2086630382930154199/5252562066257320*e^10 - 62502205865568763683/10505124132514640*e^9 + 25477133846137377607/5252562066257320*e^8 + 5096378992598598369/525256206625732*e^7 - 10886844833938267143/656570258282165*e^6 + 1505775534547462471/2626281033128660*e^5 + 35398992023288835717/2626281033128660*e^4 - 88983882532437630927/10505124132514640*e^3 + 1731058132003374457/2626281033128660*e^2 + 1374976026701217879/2626281033128660*e - 43247791447513419/656570258282165, 120499263588017/525256206625732*e^17 - 826850421999471/525256206625732*e^16 - 322284181601167/131314051656433*e^15 + 5129194352408392/131314051656433*e^14 - 20901363241981301/525256206625732*e^13 - 170057517262928043/525256206625732*e^12 + 377274233397340413/525256206625732*e^11 + 460460399876346971/525256206625732*e^10 - 1960716028594339379/525256206625732*e^9 + 474471487018753893/525256206625732*e^8 + 955682806319865595/131314051656433*e^7 - 921685733099031746/131314051656433*e^6 - 388665684377200761/131314051656433*e^5 + 909211554358860917/131314051656433*e^4 - 1382026507900124527/525256206625732*e^3 - 99888055706165505/525256206625732*e^2 + 43710124695368507/262628103312866*e - 1376184899226028/131314051656433, 103581788393467/525256206625732*e^17 - 808377536440487/525256206625732*e^16 - 127139333105345/131314051656433*e^15 + 4756440703983504/131314051656433*e^14 - 33195180297761275/525256206625732*e^13 - 138390099759053587/525256206625732*e^12 + 457250649513237747/525256206625732*e^11 + 176884359241383119/525256206625732*e^10 - 2116188576246458189/525256206625732*e^9 + 1647450689264901473/525256206625732*e^8 + 845056590360389428/131314051656433*e^7 - 1441103124399887955/131314051656433*e^6 + 114829219768339915/131314051656433*e^5 + 1134965260350696013/131314051656433*e^4 - 3244506927299573253/525256206625732*e^3 + 448498543961679775/525256206625732*e^2 + 97334486111407671/262628103312866*e - 6531430701585960/131314051656433, 744960261454191/5252562066257320*e^17 - 1160842881890251/1313140516564330*e^16 - 313293128656404/131314051656433*e^15 + 31684665271539127/1313140516564330*e^14 - 15172105837729143/5252562066257320*e^13 - 634297491650034797/2626281033128660*e^12 + 1372037878624472109/5252562066257320*e^11 + 1427936613511535409/1313140516564330*e^10 - 9367822612508623481/5252562066257320*e^9 - 1415210159511877824/656570258282165*e^8 + 1266552788205661775/262628103312866*e^7 + 857282102149707188/656570258282165*e^6 - 7075971884272687453/1313140516564330*e^5 + 693424233002881179/1313140516564330*e^4 + 10982075097452582251/5252562066257320*e^3 - 1155977448077775607/2626281033128660*e^2 - 103486409966169326/656570258282165*e + 16045050535698344/656570258282165, -2939066601481929/10505124132514640*e^17 + 10764697835773673/5252562066257320*e^16 + 298116662256062/131314051656433*e^15 - 130841518862648383/2626281033128660*e^14 + 705007979424822537/10505124132514640*e^13 + 516927491607472897/1313140516564330*e^12 - 10949177481052570951/10505124132514640*e^11 - 4563196977833606797/5252562066257320*e^10 + 53902472761195618799/10505124132514640*e^9 - 12350063877922997441/5252562066257320*e^8 - 4857505998230910517/525256206625732*e^7 + 7392675903935810524/656570258282165*e^6 + 5070285917376902477/2626281033128660*e^5 - 26063305959300428061/2626281033128660*e^4 + 56917432568101777291/10505124132514640*e^3 - 229528249599410194/656570258282165*e^2 - 1086738293231473697/2626281033128660*e + 30934490025299317/656570258282165, 1468469134358989/2626281033128660*e^17 - 5747075169622523/1313140516564330*e^16 - 388664184382324/131314051656433*e^15 + 68583061102697323/656570258282165*e^14 - 460889202542517157/2626281033128660*e^13 - 517324280329804779/656570258282165*e^12 + 6482918493586976031/2626281033128660*e^11 + 1745348177689485107/1313140516564330*e^10 - 30851156891449347699/2626281033128660*e^9 + 9690248181234770651/1313140516564330*e^8 + 2674505823480458176/131314051656433*e^7 - 18867933097659567806/656570258282165*e^6 - 1648494487256780647/656570258282165*e^5 + 15997529738793500211/656570258282165*e^4 - 35918506123232931311/2626281033128660*e^3 + 534110786625686151/656570258282165*e^2 + 581963302931424592/656570258282165*e - 63606236597842698/656570258282165, 1491274991932441/2101024826502928*e^17 - 5605133023562887/1050512413251464*e^16 - 692875179626032/131314051656433*e^15 + 68285296460145955/525256206625732*e^14 - 386530789786877625/2101024826502928*e^13 - 542493591986545587/525256206625732*e^12 + 5864103433095741135/2101024826502928*e^11 + 2456544328947381419/1050512413251464*e^10 - 28923009258478288575/2101024826502928*e^9 + 6093655029345371235/1050512413251464*e^8 + 13330435921564219773/525256206625732*e^7 - 3781434146180569684/131314051656433*e^6 - 3828800596724932785/525256206625732*e^5 + 13560182354209521065/525256206625732*e^4 - 26044041564804056571/2101024826502928*e^3 + 271135947632033513/525256206625732*e^2 + 394502455015443631/525256206625732*e - 12159078432457107/131314051656433, 2869249322948617/2626281033128660*e^17 - 11055377783967169/1313140516564330*e^16 - 895767414878600/131314051656433*e^15 + 133323550606161749/656570258282165*e^14 - 832009154696942841/2626281033128660*e^13 - 1032879646154345682/656570258282165*e^12 + 12082929439723109883/2626281033128660*e^11 + 4103089069727714381/1313140516564330*e^10 - 58529101270127011447/2626281033128660*e^9 + 15353775866590729573/1313140516564330*e^8 + 5251192513669374706/131314051656433*e^7 - 33147875683708419158/656570258282165*e^6 - 5728968260321563466/656570258282165*e^5 + 28927130087514418693/656570258282165*e^4 - 59578030760755025303/2626281033128660*e^3 + 699638660349822708/656570258282165*e^2 + 1003681221870316511/656570258282165*e - 124469137735322394/656570258282165, 3670085519316313/10505124132514640*e^17 - 15156947779745151/5252562066257320*e^16 - 119441440922920/131314051656433*e^15 + 177397617888753071/2626281033128660*e^14 - 1408873090712422169/10505124132514640*e^13 - 1269553169415036963/2626281033128660*e^12 + 18561135155191114927/10505124132514640*e^11 + 2711497478736652699/5252562066257320*e^10 - 85886153055007445023/10505124132514640*e^9 + 34025924376893938987/5252562066257320*e^8 + 7140758541980143809/525256206625732*e^7 - 14529235415724836773/656570258282165*e^6 - 536070469563491709/2626281033128660*e^5 + 47558729004433732077/2626281033128660*e^4 - 112764754483941076187/10505124132514640*e^3 + 1950740928054157817/2626281033128660*e^2 + 1798798600144416199/2626281033128660*e - 54576746364449529/656570258282165, 5032084364563603/10505124132514640*e^17 - 20720730769048641/5252562066257320*e^16 - 199713136568583/131314051656433*e^15 + 244660178858805921/2626281033128660*e^14 - 1860130857896846499/10505124132514640*e^13 - 1793528339720760763/2626281033128660*e^12 + 24853523794565730997/10505124132514640*e^11 + 4850964725877832389/5252562066257320*e^10 - 116125707677069892373/10505124132514640*e^9 + 41482025707821632717/5252562066257320*e^8 + 9867271093033292663/525256206625732*e^7 - 18665946408606372418/656570258282165*e^6 - 3877777303974693479/2626281033128660*e^5 + 62327123124889089187/2626281033128660*e^4 - 142259752787093459417/10505124132514640*e^3 + 1979010629059240517/2626281033128660*e^2 + 2401894793193158669/2626281033128660*e - 67592370338820669/656570258282165, -11884160364200847/10505124132514640*e^17 + 48257834460179909/5252562066257320*e^16 + 526110716067293/131314051656433*e^15 - 568516053253107429/2626281033128660*e^14 + 4267287102210267391/10505124132514640*e^13 + 4143583810852619187/2626281033128660*e^12 - 57315943695423007913/10505124132514640*e^11 - 10680807288239167681/5252562066257320*e^10 + 266970435017446165497/10505124132514640*e^9 - 98943439845794771753/5252562066257320*e^8 - 22334626239894786231/525256206625732*e^7 + 43804533720538080512/656570258282165*e^6 + 3084856222618635971/2626281033128660*e^5 - 143679263191987596503/2626281033128660*e^4 + 346468009467940011693/10505124132514640*e^3 - 7195821551051212613/2626281033128660*e^2 - 5439886768853979121/2626281033128660*e + 190358828794374041/656570258282165, 4827035533556653/10505124132514640*e^17 - 17696550037785531/5252562066257320*e^16 - 525534161390035/131314051656433*e^15 + 218290492451441831/2626281033128660*e^14 - 1093211006429707229/10505124132514640*e^13 - 1785713406226675863/2626281033128660*e^12 + 17574783528384676427/10505124132514640*e^11 + 9191870748476373639/5252562066257320*e^10 - 88782604267750571403/10505124132514640*e^9 + 12961687553910665127/5252562066257320*e^8 + 8485644511638588197/525256206625732*e^7 - 10467380039284182943/656570258282165*e^6 - 15968627848367641389/2626281033128660*e^5 + 39669698753267361597/2626281033128660*e^4 - 66872084924541810647/10505124132514640*e^3 - 98732021707113083/2626281033128660*e^2 + 1197065771427284019/2626281033128660*e - 29408357780332859/656570258282165, -323826951224651/5252562066257320*e^17 + 1297127128990937/2626281033128660*e^16 + 93878978125306/131314051656433*e^15 - 18091819595261607/1313140516564330*e^14 + 58557005130203683/5252562066257320*e^13 + 187106765001150561/1313140516564330*e^12 - 1217518098331070229/5252562066257320*e^11 - 1771706754272986233/2626281033128660*e^10 + 7753755964342030901/5252562066257320*e^9 + 3771617605212191231/2626281033128660*e^8 - 1121322540344265985/262628103312866*e^7 - 577564173466936523/656570258282165*e^6 + 7457194037615504283/1313140516564330*e^5 - 1233714671012577909/1313140516564330*e^4 - 15216816439182948031/5252562066257320*e^3 + 1395172331609142151/1313140516564330*e^2 + 197850286930330227/1313140516564330*e - 28858817766480214/656570258282165, -680339433421993/5252562066257320*e^17 + 2369274078953691/2626281033128660*e^16 + 156460626505973/131314051656433*e^15 - 28613960421219061/1313140516564330*e^14 + 143372729516525049/5252562066257320*e^13 + 222294426280512803/1313140516564330*e^12 - 2341826271693702727/5252562066257320*e^11 - 890013060405673819/2626281033128660*e^10 + 11667064059280116783/5252562066257320*e^9 - 3316027414366871867/2626281033128660*e^8 - 1059732110639341543/262628103312866*e^7 + 3647295198952478381/656570258282165*e^6 + 1202909449774211509/1313140516564330*e^5 - 6708029618983926477/1313140516564330*e^4 + 11703582800779298547/5252562066257320*e^3 + 227744399333110283/1313140516564330*e^2 - 161564187124576459/1313140516564330*e + 3372440286956598/656570258282165, -2326793939008503/10505124132514640*e^17 + 10234995888988881/5252562066257320*e^16 - 44252457201382/131314051656433*e^15 - 114806379027187941/2626281033128660*e^14 + 1131441388882788919/10505124132514640*e^13 + 722487693987026853/2626281033128660*e^12 - 13742792835415416497/10505124132514640*e^11 + 824809063528762691/5252562066257320*e^10 + 59800620816975189233/10505124132514640*e^9 - 34581695847432178557/5252562066257320*e^8 - 4250080595245760179/525256206625732*e^7 + 12512529792485135968/656570258282165*e^6 - 10452561711371883901/2626281033128660*e^5 - 37535437358074672047/2626281033128660*e^4 + 114944159241648079157/10505124132514640*e^3 - 3578347185101746287/2626281033128660*e^2 - 1773280276357963869/2626281033128660*e + 66107432293463409/656570258282165, 2748309756513581/2626281033128660*e^17 - 20104806450443499/2626281033128660*e^16 - 1235441295778205/131314051656433*e^15 + 124752557847134267/656570258282165*e^14 - 605408847984436713/2626281033128660*e^13 - 4139309527055511439/2626281033128660*e^12 + 9906284060978364689/2626281033128660*e^11 + 11253696925995735171/2626281033128660*e^10 - 50714587114576185771/2626281033128660*e^9 + 11150444397425686113/2626281033128660*e^8 + 4990622422442188647/131314051656433*e^7 - 22097843367671744554/656570258282165*e^6 - 11384624666373962088/656570258282165*e^5 + 21681866279965605914/656570258282165*e^4 - 30233517156293587259/2626281033128660*e^3 - 1822991749189484769/2626281033128660*e^2 + 1078378754206636351/1313140516564330*e - 49075946468878962/656570258282165, -1694251628621689/2626281033128660*e^17 + 6643245526988723/1313140516564330*e^16 + 460566919567725/131314051656433*e^15 - 79657183930922933/656570258282165*e^14 + 527106391569146817/2626281033128660*e^13 + 608141885385008109/656570258282165*e^12 - 7467618079913344931/2626281033128660*e^11 - 2214306239037323127/1313140516564330*e^10 + 35839653639285060099/2626281033128660*e^9 - 10362865958218471091/1313140516564330*e^8 - 3178899132901092972/131314051656433*e^7 + 21067532665985926556/656570258282165*e^6 + 3058800184896680057/656570258282165*e^5 - 18198225366029397571/656570258282165*e^4 + 37648244512577975411/2626281033128660*e^3 - 387772088694403601/656570258282165*e^2 - 589350055876066462/656570258282165*e + 70655945233258188/656570258282165, 106033154630590/131314051656433*e^17 - 769321675161378/131314051656433*e^16 - 998397371454418/131314051656433*e^15 + 19183441449992942/131314051656433*e^14 - 22206418734649839/131314051656433*e^13 - 160804104061119836/131314051656433*e^12 + 372054885913404760/131314051656433*e^11 + 454663084590100698/131314051656433*e^10 - 1922916601338338354/131314051656433*e^9 + 319217226494330254/131314051656433*e^8 + 3838546715368211747/131314051656433*e^7 - 3170867625097056656/131314051656433*e^6 - 1883845574854746195/131314051656433*e^5 + 3182760697185230256/131314051656433*e^4 - 1012628390619474311/131314051656433*e^3 - 80321129538597172/131314051656433*e^2 + 69152993344654551/131314051656433*e - 7081816441048284/131314051656433, 514796783401897/5252562066257320*e^17 - 1646665707628169/2626281033128660*e^16 - 210787919645488/131314051656433*e^15 + 22474545533933639/1313140516564330*e^14 - 16724166816509761/5252562066257320*e^13 - 112495299524147576/656570258282165*e^12 + 1010909399150347343/5252562066257320*e^11 + 2026846381408589821/2626281033128660*e^10 - 6759371591927592567/5252562066257320*e^9 - 4023944385308980467/2626281033128660*e^8 + 904330223763120781/262628103312866*e^7 + 614990094423477526/656570258282165*e^6 - 4987931175319745461/1313140516564330*e^5 + 482791435018909713/1313140516564330*e^4 + 7448074488898046557/5252562066257320*e^3 - 219146239726530126/656570258282165*e^2 - 74808247271718579/1313140516564330*e + 15642628566638218/656570258282165, -4145130404936497/10505124132514640*e^17 + 15560705444746399/5252562066257320*e^16 + 366836615654953/131314051656433*e^15 - 187740116866930639/2626281033128660*e^14 + 1106316199860644241/10505124132514640*e^13 + 1456399803779174167/2626281033128660*e^12 - 16476752486475054663/10505124132514640*e^11 - 5835320837028254331/5252562066257320*e^10 + 79933659814177635927/10505124132514640*e^9 - 21276862943297711203/5252562066257320*e^8 - 7070192842343267709/525256206625732*e^7 + 11546424023875721737/656570258282165*e^6 + 5793520914502416301/2626281033128660*e^5 - 40089661027528877953/2626281033128660*e^4 + 89685900214435748083/10505124132514640*e^3 - 1295258659309175313/2626281033128660*e^2 - 1632012559196802291/2626281033128660*e + 50100784466789311/656570258282165, -13366366609765111/10505124132514640*e^17 + 52382578781957837/5252562066257320*e^16 + 888362949678113/131314051656433*e^15 - 626276192731747717/2626281033128660*e^14 + 4194250843793836823/10505124132514640*e^13 + 4746189796878874331/2626281033128660*e^12 - 59133698796356778529/10505124132514640*e^11 - 16502253171145529033/5252562066257320*e^10 + 282529079801832534401/10505124132514640*e^9 - 85838967356532339089/5252562066257320*e^8 - 24776372435162728595/525256206625732*e^7 + 42462857864263269321/656570258282165*e^6 + 19566793452215731523/2626281033128660*e^5 - 145065343243661654559/2626281033128660*e^4 + 313995343128872858149/10505124132514640*e^3 - 4300622672026017909/2626281033128660*e^2 - 5239224245479899473/2626281033128660*e + 172370465396820813/656570258282165, 3351885422654349/10505124132514640*e^17 - 14678372858830853/5252562066257320*e^16 + 58894609720560/131314051656433*e^15 + 164358253584227763/2626281033128660*e^14 - 1617824255162441837/10505124132514640*e^13 - 514153813568919477/1313140516564330*e^12 + 19650120341945282131/10505124132514640*e^11 - 1337321151841468903/5252562066257320*e^10 - 85249488619348964219/10505124132514640*e^9 + 50265168206178877341/5252562066257320*e^8 + 5977504187437828161/525256206625732*e^7 - 18092660109446992954/656570258282165*e^6 + 16251959974104802903/2626281033128660*e^5 + 53961453344781639541/2626281033128660*e^4 - 168860500362055747751/10505124132514640*e^3 + 1389462205321744279/656570258282165*e^2 + 2633211143378540497/2626281033128660*e - 104098252980330647/656570258282165, 1830814499024163/5252562066257320*e^17 - 7329157245341921/2626281033128660*e^16 - 135397224097630/131314051656433*e^15 + 84102595754289441/1313140516564330*e^14 - 675351444279067379/5252562066257320*e^13 - 569229320970851223/1313140516564330*e^12 + 8815184932017535477/5252562066257320*e^11 + 454012067564864309/2626281033128660*e^10 - 39372436585157248693/5252562066257320*e^9 + 20005559247113282237/2626281033128660*e^8 + 2878736934692668243/262628103312866*e^7 - 15480405834982981371/656570258282165*e^6 + 6104591817231919101/1313140516564330*e^5 + 23265393405174665637/1313140516564330*e^4 - 73667344568764410297/5252562066257320*e^3 + 2833262098132910617/1313140516564330*e^2 + 1080792082560445829/1313140516564330*e - 98139354301094798/656570258282165, -1755340639848083/2101024826502928*e^17 + 6992207768732131/1050512413251464*e^16 + 549140508522675/131314051656433*e^15 - 83962299012278205/525256206625732*e^14 + 567079089850403139/2101024826502928*e^13 + 321710992574781101/262628103312866*e^12 - 7952351374503296877/2101024826502928*e^11 - 2399414668321953655/1050512413251464*e^10 + 38152609148889519653/2101024826502928*e^9 - 10577768997931233251/1050512413251464*e^8 - 17033731867220794559/525256206625732*e^7 + 5449958606736761580/131314051656433*e^6 + 3676028811748226095/525256206625732*e^5 - 18789478151059382747/525256206625732*e^4 + 38630452676670557305/2101024826502928*e^3 - 132432150559379203/131314051656433*e^2 - 628820210222778151/525256206625732*e + 23468717974493583/131314051656433, 1196017644433477/656570258282165*e^17 - 18072974149269981/1313140516564330*e^16 - 1692586384175362/131314051656433*e^15 + 219151517638842431/656570258282165*e^14 - 320881803817916896/656570258282165*e^13 - 3442208434880580251/1313140516564330*e^12 + 4798051364690428813/656570258282165*e^11 + 7354780951466992989/1313140516564330*e^10 - 23503692490905125042/656570258282165*e^9 + 22226096057739792677/1313140516564330*e^8 + 8565060535884993437/131314051656433*e^7 - 51399503281988532877/656570258282165*e^6 - 10968323330041654849/656570258282165*e^5 + 45593407194725571662/656570258282165*e^4 - 22440608518097877178/656570258282165*e^3 + 1728961421610459219/1313140516564330*e^2 + 1442382258852502609/656570258282165*e - 180768076075939486/656570258282165, 359553860686034/656570258282165*e^17 - 10652564939559549/2626281033128660*e^16 - 567866113033063/131314051656433*e^15 + 64841905479700452/656570258282165*e^14 - 88373596264034782/656570258282165*e^13 - 2057780034116705479/2626281033128660*e^12 + 2721444201830144837/1313140516564330*e^11 + 4639984103866488801/2626281033128660*e^10 - 6690948505209681014/656570258282165*e^9 + 11588044292914652363/2626281033128660*e^8 + 2418361316680759074/131314051656433*e^7 - 14230267402820406819/656570258282165*e^6 - 2691451700280472448/656570258282165*e^5 + 12415729504904207729/656570258282165*e^4 - 6792360197039833396/656570258282165*e^3 + 2728365950776482851/2626281033128660*e^2 + 809574581814380591/1313140516564330*e - 70391634183447142/656570258282165, 275861475709288/656570258282165*e^17 - 7026488178987093/2626281033128660*e^16 - 812264613393471/131314051656433*e^15 + 46159297607549759/656570258282165*e^14 - 20149226607192894/656570258282165*e^13 - 1724238754554050463/2626281033128660*e^12 + 1262523100992824649/1313140516564330*e^11 + 6677799713546179677/2626281033128660*e^10 - 3830219975504797338/656570258282165*e^9 - 8182098615858073769/2626281033128660*e^8 + 1842487184445884161/131314051656433*e^7 - 1998292506348870668/656570258282165*e^6 - 8181184608715244566/656570258282165*e^5 + 4447742550206954188/656570258282165*e^4 + 1566236470183248193/656570258282165*e^3 - 4375850213749363233/2626281033128660*e^2 - 61498573660523863/1313140516564330*e + 41416202660231716/656570258282165, -2657724421024297/5252562066257320*e^17 + 11585852247922229/2626281033128660*e^16 - 50680117993046/131314051656433*e^15 - 131128913810099529/1313140516564330*e^14 + 1242987715056079321/5252562066257320*e^13 + 424666576962415101/656570258282165*e^12 - 15300803614395198743/5252562066257320*e^11 + 317350716574524479/2626281033128660*e^10 + 67362358497267442207/5252562066257320*e^9 - 36480682200533678653/2626281033128660*e^8 - 4951904909490956591/262628103312866*e^7 + 27111056776368103049/656570258282165*e^6 - 9299058881779056529/1313140516564330*e^5 - 41355913668060725173/1313140516564330*e^4 + 121178636369402945003/5252562066257320*e^3 - 1734935218111128679/656570258282165*e^2 - 1893323919564941001/1313140516564330*e + 133733747051286532/656570258282165, -5062735927656201/10505124132514640*e^17 + 18366055209447047/5252562066257320*e^16 + 606163298855000/131314051656433*e^15 - 229902889456086207/2626281033128660*e^14 + 1041897202707835193/10505124132514640*e^13 + 1944359590749759531/2626281033128660*e^12 - 17651972857625395359/10505124132514640*e^11 - 11347086966990251843/5252562066257320*e^10 + 91941482627555872271/10505124132514640*e^9 - 5454798218494905539/5252562066257320*e^8 - 9326492906884626873/525256206625732*e^7 + 8955792342600037251/656570258282165*e^6 + 24935529374999799133/2626281033128660*e^5 - 36993675482694771049/2626281033128660*e^4 + 39327575656906462459/10505124132514640*e^3 + 1440438445018275891/2626281033128660*e^2 - 503379034477920483/2626281033128660*e + 9566421513815693/656570258282165, -3878398681813583/2101024826502928*e^17 + 14459135101978369/1050512413251464*e^16 + 1935898947808933/131314051656433*e^15 - 177531341388252949/525256206625732*e^14 + 953644171683156383/2101024826502928*e^13 + 1436530930943691921/525256206625732*e^12 - 14853018029546124617/2101024826502928*e^11 - 7060256960512628293/1050512413251464*e^10 + 74460009794911890841/2101024826502928*e^9 - 12620509477200309045/1050512413251464*e^8 - 35470451621623551119/525256206625732*e^7 + 9066887703972499984/131314051656433*e^6 + 13366046821465056971/525256206625732*e^5 - 33934135915665718559/525256206625732*e^4 + 55277174991547316621/2101024826502928*e^3 + 243352779275822949/525256206625732*e^2 - 915496626946959997/525256206625732*e + 22067267729622275/131314051656433, -1475306767001187/1050512413251464*e^17 + 5780189136949445/525256206625732*e^16 + 1009703068296536/131314051656433*e^15 - 69318836249551989/262628103312866*e^14 + 457331762113919859/1050512413251464*e^13 + 529472696529517019/262628103312866*e^12 - 6484122869374968741/1050512413251464*e^11 - 1935256311168865249/525256206625732*e^10 + 31108984471181194389/1050512413251464*e^9 - 8962202078904264409/525256206625732*e^8 - 13772665779215870135/262628103312866*e^7 + 9120830277077969290/131314051656433*e^6 + 2570769783710221899/262628103312866*e^5 - 15688638427924829651/262628103312866*e^4 + 33010328965803385417/1050512413251464*e^3 - 435116718825616761/262628103312866*e^2 - 509529961189862193/262628103312866*e + 34348474013269404/131314051656433, 7072246828240443/10505124132514640*e^17 - 26037782171325251/5252562066257320*e^16 - 706637320758797/131314051656433*e^15 + 316773313258845041/2626281033128660*e^14 - 1722924879834905579/10505124132514640*e^13 - 1254048916172935489/1313140516564330*e^12 + 26667080341354723077/10505124132514640*e^11 + 11166334647735171439/5252562066257320*e^10 - 131650046485101877133/10505124132514640*e^9 + 29461100860393041027/5252562066257320*e^8 + 12005792376511249435/525256206625732*e^7 - 17878561722889162053/656570258282165*e^6 - 14911882524831809419/2626281033128660*e^5 + 64042000925937008307/2626281033128660*e^4 - 128501970527564426097/10505124132514640*e^3 + 263085670001102248/656570258282165*e^2 + 2128962589780953099/2626281033128660*e - 51396439813059059/656570258282165, 718401327751399/2101024826502928*e^17 - 2816072166102625/1050512413251464*e^16 - 283072267846817/131314051656433*e^15 + 34490359657834285/525256206625732*e^14 - 210250040495923303/2101024826502928*e^13 - 277158460753474757/525256206625732*e^12 + 3098975367775809697/2101024826502928*e^11 + 1313664576649649125/1050512413251464*e^10 - 15460938947235595633/2101024826502928*e^9 + 2809498258967470349/1050512413251464*e^8 + 7523282055795756391/525256206625732*e^7 - 1895867201469101403/131314051656433*e^6 - 3408894953442175507/525256206625732*e^5 + 7359004471608418351/525256206625732*e^4 - 9094280287773675541/2101024826502928*e^3 - 457443919201046825/525256206625732*e^2 + 171841388649371893/525256206625732*e + 143259160885975/131314051656433, -111439256567257/656570258282165*e^17 + 1612681455987101/1313140516564330*e^16 + 253196744417424/131314051656433*e^15 - 21056588616168511/656570258282165*e^14 + 18536672243310941/656570258282165*e^13 + 388399724948539731/1313140516564330*e^12 - 362328600205604438/656570258282165*e^11 - 1457887015023632079/1313140516564330*e^10 + 2061175976492516527/656570258282165*e^9 + 1531077312628275003/1313140516564330*e^8 - 979566714375471216/131314051656433*e^7 + 1291001643123395172/656570258282165*e^6 + 4486450509281670944/656570258282165*e^5 - 2365541298697554877/656570258282165*e^4 - 1076569140757403647/656570258282165*e^3 + 1140744700315856181/1313140516564330*e^2 + 82097502014158091/656570258282165*e - 20285628401914114/656570258282165, 15959097463871653/10505124132514640*e^17 - 61067227739584861/5252562066257320*e^16 - 1268984724247004/131314051656433*e^15 + 734803722391341531/2626281033128660*e^14 - 4569034967886288069/10505124132514640*e^13 - 2830667104295598049/1313140516564330*e^12 + 66486254120824682667/10505124132514640*e^11 + 21805652013851465729/5252562066257320*e^10 - 321147824454019771603/10505124132514640*e^9 + 88505168124547148277/5252562066257320*e^8 + 28506965530242876129/525256206625732*e^7 - 46607625502926236358/656570258282165*e^6 - 26377892140826801089/2626281033128660*e^5 + 161221871052231515517/2626281033128660*e^4 - 344500227985531218847/10505124132514640*e^3 + 1199117619477066443/656570258282165*e^2 + 5710998705792352889/2626281033128660*e - 192675259547318069/656570258282165, -1067835837487999/5252562066257320*e^17 + 5528120043730173/2626281033128660*e^16 - 286732197488684/131314051656433*e^15 - 59187406699016993/1313140516564330*e^14 + 773341171668923247/5252562066257320*e^13 + 313497143518637759/1313140516564330*e^12 - 8600103940907117241/5252562066257320*e^11 + 1969931634109231083/2626281033128660*e^10 + 35615476802220644649/5252562066257320*e^9 - 25447774930718481861/2626281033128660*e^8 - 2274128889196940159/262628103312866*e^7 + 16796386709061907578/656570258282165*e^6 - 9701685643817994093/1313140516564330*e^5 - 24214245910623057261/1313140516564330*e^4 + 79627925653100869821/5252562066257320*e^3 - 2652998998539371711/1313140516564330*e^2 - 1282541440225330877/1313140516564330*e + 110428337341268634/656570258282165, 677545474813497/10505124132514640*e^17 - 3416868008000849/5252562066257320*e^16 + 133621986085930/131314051656433*e^15 + 31797898201247999/2626281033128660*e^14 - 562527438593401961/10505124132514640*e^13 - 32342468475768741/1313140516564330*e^12 + 5805733406226771943/10505124132514640*e^11 - 3753256451008761499/5252562066257320*e^10 - 20943420461595134287/10505124132514640*e^9 + 26753949165700253593/5252562066257320*e^8 + 536073236902336761/525256206625732*e^7 - 7724881450862814572/656570258282165*e^6 + 18264978608589446259/2626281033128660*e^5 + 19696139545421819353/2626281033128660*e^4 - 90266948329287829243/10505124132514640*e^3 + 1056090493872035027/656570258282165*e^2 + 1341781163808438821/2626281033128660*e - 71281947604120181/656570258282165, 839420564533007/2101024826502928*e^17 - 3247014322809867/1050512413251464*e^16 - 339266823753328/131314051656433*e^15 + 39427769429493733/525256206625732*e^14 - 238876246760229807/2101024826502928*e^13 - 77709098708773770/131314051656433*e^12 + 3499490138287957153/2101024826502928*e^11 + 1358607038654885527/1050512413251464*e^10 - 17048674082671218825/2101024826502928*e^9 + 3783965448655777259/1050512413251464*e^8 + 7739595199557526951/525256206625732*e^7 - 2233817484868691912/131314051656433*e^6 - 1939327234825573575/525256206625732*e^5 + 7781779294886664715/525256206625732*e^4 - 16501782230328051309/2101024826502928*e^3 + 186543836544002219/262628103312866*e^2 + 287524342146064751/525256206625732*e - 13382181850785795/131314051656433, -684757717475803/1313140516564330*e^17 + 4595776020315617/1313140516564330*e^16 + 870890425063772/131314051656433*e^15 - 59079279539057047/656570258282165*e^14 + 84741340781666979/1313140516564330*e^13 + 1057590303491404207/1313140516564330*e^12 - 1867825797186610887/1313140516564330*e^11 - 3682825906617325063/1313140516564330*e^10 + 10460698782824590273/1313140516564330*e^9 + 2419175975496164431/1313140516564330*e^8 - 2294819345023725686/131314051656433*e^7 + 5196662628823327354/656570258282165*e^6 + 7999174941654437518/656570258282165*e^5 - 6713286743605141294/656570258282165*e^4 + 767019746040430457/1313140516564330*e^3 + 856111299495639347/1313140516564330*e^2 + 8054061924330387/656570258282165*e + 10730819241723332/656570258282165, 4583409205109051/2626281033128660*e^17 - 35216513686370809/2626281033128660*e^16 - 1449714361379522/131314051656433*e^15 + 212393556793611937/656570258282165*e^14 - 1319759230976377383/2626281033128660*e^13 - 6584908239151650929/2626281033128660*e^12 + 19224660036724732959/2626281033128660*e^11 + 13107718916064979821/2626281033128660*e^10 - 93293613518799421721/2626281033128660*e^9 + 48808113179384151403/2626281033128660*e^8 + 8402544461293189611/131314051656433*e^7 - 52823223058249987599/656570258282165*e^6 - 9645636481348586663/656570258282165*e^5 + 46284198570007598359/656570258282165*e^4 - 92945212808096664589/2626281033128660*e^3 + 3595513555351552661/2626281033128660*e^2 + 3006346722233054271/1313140516564330*e - 190708166819197942/656570258282165, -570377534148269/10505124132514640*e^17 - 56961529570687/5252562066257320*e^16 + 422175064063472/131314051656433*e^15 - 12340254823321763/2626281033128660*e^14 - 608050979233304163/10505124132514640*e^13 + 87205168591482726/656570258282165*e^12 + 4461079439903591149/10505124132514640*e^11 - 7018539432325905717/5252562066257320*e^10 - 11694142644030938741/10505124132514640*e^9 + 31396312084887898839/5252562066257320*e^8 - 443944132884121077/525256206625732*e^7 - 7664680032902593971/656570258282165*e^6 + 20160527515417189297/2626281033128660*e^5 + 18860372688410657799/2626281033128660*e^4 - 82037741677984716649/10505124132514640*e^3 + 1402158030804599427/1313140516564330*e^2 + 1344850654191728083/2626281033128660*e - 50959221185770083/656570258282165, 1173393116199687/5252562066257320*e^17 - 4128048809898419/2626281033128660*e^16 - 329948277602434/131314051656433*e^15 + 53003952560596369/1313140516564330*e^14 - 196129439488477751/5252562066257320*e^13 - 236246580878488281/656570258282165*e^12 + 3777356854955503993/5252562066257320*e^11 + 3232205037057621371/2626281033128660*e^10 - 21115174396050625777/5252562066257320*e^9 - 1606782940884608317/2626281033128660*e^8 + 2422470982039410707/262628103312866*e^7 - 2874472354365038114/656570258282165*e^6 - 10069363908646309811/1313140516564330*e^5 + 8014829199770014313/1313140516564330*e^4 + 5720538076225506267/5252562066257320*e^3 - 868634355070507091/656570258282165*e^2 - 23736899758973769/1313140516564330*e + 21582741675496848/656570258282165, -343361906974937/525256206625732*e^17 + 2554781548937537/525256206625732*e^16 + 677713680839728/131314051656433*e^15 - 15643192422983511/131314051656433*e^14 + 85300983242163569/525256206625732*e^13 + 503051256586422053/525256206625732*e^12 - 1324010370455054509/525256206625732*e^11 - 1198969713724364029/525256206625732*e^10 + 6635862619427813867/525256206625732*e^9 - 2472069639319012079/525256206625732*e^8 - 3165882578647838692/131314051656433*e^7 + 3353133407115623469/131314051656433*e^6 + 1208038308101524856/131314051656433*e^5 - 3167129494016622086/131314051656433*e^4 + 4891596279506567439/525256206625732*e^3 + 362984827442293691/525256206625732*e^2 - 176937123825264583/262628103312866*e + 4701693720502858/131314051656433, 175601150357451/656570258282165*e^17 - 2050019133892793/1313140516564330*e^16 - 616215769439187/131314051656433*e^15 + 27645810103222033/656570258282165*e^14 + 291029489888887/656570258282165*e^13 - 542130026087049413/1313140516564330*e^12 + 277657777300250289/656570258282165*e^11 + 2342966104580626847/1313140516564330*e^10 - 1940651658352167431/656570258282165*e^9 - 4196732683527031379/1313140516564330*e^8 + 1031563783105045001/131314051656433*e^7 + 720341468132689259/656570258282165*e^6 - 5457252190101845472/656570258282165*e^5 + 1123590904145248916/656570258282165*e^4 + 1892787353598211926/656570258282165*e^3 - 917251753228977523/1313140516564330*e^2 - 171045258806395603/656570258282165*e + 16983862660752212/656570258282165, -4693882687475577/5252562066257320*e^17 + 4466475542988021/656570258282165*e^16 + 780694509446477/131314051656433*e^15 - 215502167203419329/1313140516564330*e^14 + 1307854567253737921/5252562066257320*e^13 + 3341367712953551369/2626281033128660*e^12 - 19219423853364186403/5252562066257320*e^11 - 1667050256736748494/656570258282165*e^10 + 93168723010529899127/5252562066257320*e^9 - 12294105485502059479/1313140516564330*e^8 - 8310626617174009179/262628103312866*e^7 + 26615591078699889429/656570258282165*e^6 + 8242883339477282761/1313140516564330*e^5 - 46281097639879765273/1313140516564330*e^4 + 97455696335758421883/5252562066257320*e^3 - 2680647164220176981/2626281033128660*e^2 - 733829948680298298/656570258282165*e + 101436808434579692/656570258282165, -6442154375650899/10505124132514640*e^17 + 25028177306606363/5252562066257320*e^16 + 456320495169757/131314051656433*e^15 - 299546550998239213/2626281033128660*e^14 + 1960083366941033987/10505124132514640*e^13 + 1138143193829168227/1313140516564330*e^12 - 27887583202508390541/10505124132514640*e^11 - 8055764860677429127/5252562066257320*e^10 + 133431161576418469349/10505124132514640*e^9 - 40249913990740746131/5252562066257320*e^8 - 11676545708182257215/525256206625732*e^7 + 20102281589999340764/656570258282165*e^6 + 8723628056151983647/2626281033128660*e^5 - 68875450076689527571/2626281033128660*e^4 + 149749600421882666761/10505124132514640*e^3 - 464079593051064699/656570258282165*e^2 - 2363714957254057487/2626281033128660*e + 56415810712486477/656570258282165, 784063348448339/2626281033128660*e^17 - 2741219445561583/1313140516564330*e^16 - 405108225484664/131314051656433*e^15 + 34107641196962233/656570258282165*e^14 - 144077920117577747/2626281033128660*e^13 - 284663333240100324/656570258282165*e^12 + 2540819065447789281/2626281033128660*e^11 + 1585102144208896407/1313140516564330*e^10 - 13192556703810314569/2626281033128660*e^9 + 1284185844993425791/1313140516564330*e^8 + 1298435935971000961/131314051656433*e^7 - 5773885506780250026/656570258282165*e^6 - 2853362231258847357/656570258282165*e^5 + 5705160538165952251/656570258282165*e^4 - 8437763692813818541/2626281033128660*e^3 - 90763537993100004/656570258282165*e^2 + 166963199673220137/656570258282165*e - 11632925511568488/656570258282165, 1998210760379419/2626281033128660*e^17 - 3726281628635064/656570258282165*e^16 - 790400226872557/131314051656433*e^15 + 91389902135463163/656570258282165*e^14 - 494990383630556587/2626281033128660*e^13 - 1474735928492019223/1313140516564330*e^12 + 7681332355857387661/2626281033128660*e^11 + 1789750685892501206/656570258282165*e^10 - 38425841252022448429/2626281033128660*e^9 + 3379641474899936333/656570258282165*e^8 + 3646233548541328003/131314051656433*e^7 - 18912014428225014316/656570258282165*e^6 - 6680561474953138872/656570258282165*e^5 + 17527743462034960331/656570258282165*e^4 - 29188568488493293901/2626281033128660*e^3 + 96135241679409967/1313140516564330*e^2 + 458502649593255017/656570258282165*e - 73234117109695648/656570258282165, 8156504708577291/5252562066257320*e^17 - 15488284737376531/1313140516564330*e^16 - 1479197090986495/131314051656433*e^15 + 378621650205879617/1313140516564330*e^14 - 2161348965171325843/5252562066257320*e^13 - 6062366448169585997/2626281033128660*e^12 + 32672015473512480169/5252562066257320*e^11 + 7106028710315816649/1313140516564330*e^10 - 161986516171767861861/5252562066257320*e^9 + 7756759095911245281/656570258282165*e^8 + 15211795100326066035/262628103312866*e^7 - 40707969904566768937/656570258282165*e^6 - 26071711692062807703/1313140516564330*e^5 + 74578715092647091409/1313140516564330*e^4 - 130060669874809352649/5252562066257320*e^3 + 545458508044998933/2626281033128660*e^2 + 1090355544170113379/656570258282165*e - 123169873237186586/656570258282165, -2423536994264241/1313140516564330*e^17 + 9305117907849762/656570258282165*e^16 + 1561983467827206/131314051656433*e^15 - 225034085251026864/656570258282165*e^14 + 691246323469697053/1313140516564330*e^13 + 1754925533669360002/656570258282165*e^12 - 10121649529187792859/1313140516564330*e^11 - 3612022383946247858/656570258282165*e^10 + 49328651179897564011/1313140516564330*e^9 - 12240766817511840529/656570258282165*e^8 - 8975479279280349015/131314051656433*e^7 + 54580917198122343363/656570258282165*e^6 + 11607820099486580576/656570258282165*e^5 - 48236643996394997893/656570258282165*e^4 + 46651447737204989219/1313140516564330*e^3 - 713151143474071098/656570258282165*e^2 - 1483709115009001326/656570258282165*e + 175162798922518034/656570258282165, 15265323280981531/10505124132514640*e^17 - 57565251469791037/5252562066257320*e^16 - 1368144186073657/131314051656433*e^15 + 698718813964250197/2626281033128660*e^14 - 4059726073382103243/10505124132514640*e^13 - 5500400645235133981/2626281033128660*e^12 + 60938517084269762829/10505124132514640*e^11 + 23782745647059403313/5252562066257320*e^10 - 299127852207109626541/10505124132514640*e^9 + 69295012904424255329/5252562066257320*e^8 + 27356434015544770339/525256206625732*e^7 - 40618227372758111756/656570258282165*e^6 - 36427232413583657363/2626281033128660*e^5 + 145006581189963165319/2626281033128660*e^4 - 280712573721386641329/10505124132514640*e^3 + 2075840385789694799/2626281033128660*e^2 + 4569227940473050073/2626281033128660*e - 141110393287768083/656570258282165, -2991463966115689/2101024826502928*e^17 + 11260118006095831/1050512413251464*e^16 + 1445133969805398/131314051656433*e^15 - 138347116251670863/525256206625732*e^14 + 757173201473735449/2101024826502928*e^13 + 1121277310337474655/525256206625732*e^12 - 11684306300990979087/2101024826502928*e^11 - 5550604035059422275/1050512413251464*e^10 + 58565343445170790543/2101024826502928*e^9 - 9584842130934352195/1050512413251464*e^8 - 28052502100343571265/525256206625732*e^7 + 6997200028448963471/131314051656433*e^6 + 11098851511886870753/525256206625732*e^5 - 26236370254956767197/525256206625732*e^4 + 41206583686776329163/2101024826502928*e^3 + 172185009018927707/525256206625732*e^2 - 661245326423184239/525256206625732*e + 20240545384152227/131314051656433, -816421349050409/2626281033128660*e^17 + 2692711218591173/1313140516564330*e^16 + 613764516691863/131314051656433*e^15 - 36253820262928843/656570258282165*e^14 + 55898121777284957/2626281033128660*e^13 + 354244607313861969/656570258282165*e^12 - 1888043381138659251/2626281033128660*e^11 - 3037519561046511037/1313140516564330*e^10 + 11927207768817529039/2626281033128660*e^9 + 5303669564868714889/1313140516564330*e^8 - 1538586026101070714/131314051656433*e^7 - 667682070491010904/656570258282165*e^6 + 8078454888689077082/656570258282165*e^5 - 1851271708901239441/656570258282165*e^4 - 11088922427937007589/2626281033128660*e^3 + 826870933004367664/656570258282165*e^2 + 171745847167627638/656570258282165*e - 33514211059870452/656570258282165, 3795255244029951/2626281033128660*e^17 - 7156537182785731/656570258282165*e^16 - 1417075154027306/131314051656433*e^15 + 175033015573289817/656570258282165*e^14 - 984712265339738703/2626281033128660*e^13 - 2805546900271795897/1313140516564330*e^12 + 15012481668410497009/2626281033128660*e^11 + 3301750672532660419/656570258282165*e^10 - 74695284826526072481/2626281033128660*e^9 + 7117368668507139172/656570258282165*e^8 + 7052770285588143636/131314051656433*e^7 - 37666445634069689654/656570258282165*e^6 - 12585100132842031193/656570258282165*e^5 + 34864082105881188089/656570258282165*e^4 - 57943572672381016309/2626281033128660*e^3 - 603937290303943407/1313140516564330*e^2 + 937312335476505678/656570258282165*e - 81845611797560932/656570258282165, 3406331056512183/2626281033128660*e^17 - 27189787313606907/2626281033128660*e^16 - 760013165589349/131314051656433*e^15 + 161458290133279936/656570258282165*e^14 - 1143604941529565899/2626281033128660*e^13 - 4809512774650699067/2626281033128660*e^12 + 15736899127686226347/2626281033128660*e^11 + 7394777120248447203/2626281033128660*e^10 - 74307403803688752473/2626281033128660*e^9 + 49773634014834777349/2626281033128660*e^8 + 6385193681106557003/131314051656433*e^7 - 46626794509643448567/656570258282165*e^6 - 3287479085176470239/656570258282165*e^5 + 39222018848621556527/656570258282165*e^4 - 88675208513033323017/2626281033128660*e^3 + 5289443387847840603/2626281033128660*e^2 + 2926651557193196163/1313140516564330*e - 189022727764282746/656570258282165, 1000464674549831/2626281033128660*e^17 - 3604462199062077/1313140516564330*e^16 - 469773352544982/131314051656433*e^15 + 44598782366355177/656570258282165*e^14 - 207692576620308543/2626281033128660*e^13 - 367692253287855516/656570258282165*e^12 + 3448269710177604929/2626281033128660*e^11 + 1960063377955139753/1313140516564330*e^10 - 17477035260913537641/2626281033128660*e^9 + 2170315248214048139/1313140516564330*e^8 + 1654601671193181673/131314051656433*e^7 - 7884734248800326114/656570258282165*e^6 - 2815006455786712673/656570258282165*e^5 + 7226772632622575569/656570258282165*e^4 - 14366678669072288429/2626281033128660*e^3 + 408848731965959024/656570258282165*e^2 + 220467465748549703/656570258282165*e - 48236671787299312/656570258282165, -2369788102934501/5252562066257320*e^17 + 5549336687309901/1313140516564330*e^16 - 259956536429939/131314051656433*e^15 - 123654782491872677/1313140516564330*e^14 + 1333929011137778453/5252562066257320*e^13 + 1519890487901977907/2626281033128660*e^12 - 15750381513497221599/5252562066257320*e^11 + 691332107324546871/1313140516564330*e^10 + 68262133182968036371/5252562066257320*e^9 - 9961208036036670606/656570258282165*e^8 - 4940196807762754041/262628103312866*e^7 + 28472959976807323207/656570258282165*e^6 - 10099133318503885717/1313140516564330*e^5 - 43286631382135195969/1313140516564330*e^4 + 124297192112083921359/5252562066257320*e^3 - 6218502653096846643/2626281033128660*e^2 - 996014274715700659/656570258282165*e + 135853535289800886/656570258282165, -166299514187845/1050512413251464*e^17 + 724925512429993/525256206625732*e^16 + 14760055272796/131314051656433*e^15 - 8510994135697661/262628103312866*e^14 + 72857267997762381/1050512413251464*e^13 + 30650024471412434/131314051656433*e^12 - 938570225618342915/1050512413251464*e^11 - 136735495099383225/525256206625732*e^10 + 4392379284345016971/1050512413251464*e^9 - 1633531145121140913/525256206625732*e^8 - 1934378260589804769/262628103312866*e^7 + 1434930098655720937/131314051656433*e^6 + 383715971763257811/262628103312866*e^5 - 2535797169566163095/262628103312866*e^4 + 4619570591444273487/1050512413251464*e^3 + 60455642858545889/131314051656433*e^2 - 105455696376607127/262628103312866*e + 2062362770035638/131314051656433, -1221244452562007/656570258282165*e^17 + 9102883893715003/656570258282165*e^16 + 1879875921356937/131314051656433*e^15 - 221982692099075626/656570258282165*e^14 + 308266342084249321/656570258282165*e^13 + 1766996500640486793/656570258282165*e^12 - 4727583831138050593/656570258282165*e^11 - 4035366371552652287/656570258282165*e^10 + 23419110689956323122/656570258282165*e^9 - 9720432366072708981/656570258282165*e^8 - 8689792152660294818/131314051656433*e^7 + 48907423881341603192/656570258282165*e^6 + 13142542196069829689/656570258282165*e^5 - 44184646549582494942/656570258282165*e^4 + 20550337145782596398/656570258282165*e^3 - 583812737925133417/656570258282165*e^2 - 1314014426856600984/656570258282165*e + 163791031692257286/656570258282165, -3149117522953121/10505124132514640*e^17 + 9710500367271477/5252562066257320*e^16 + 578744938572015/131314051656433*e^15 - 124952459575070887/2626281033128660*e^14 + 217402316856560913/10505124132514640*e^13 + 280180212846099609/656570258282165*e^12 - 6831366908626274879/10505124132514640*e^11 - 7846373961165196873/5252562066257320*e^10 + 39881474015507830551/10505124132514640*e^9 + 5358047181535620171/5252562066257320*e^8 - 4385667920378540693/525256206625732*e^7 + 2708037480146605976/656570258282165*e^6 + 14583989000550470713/2626281033128660*e^5 - 14285755460088291609/2626281033128660*e^4 + 6326819096932893939/10505124132514640*e^3 + 541792834017591693/1313140516564330*e^2 + 27965446970580807/2626281033128660*e + 3098057038600463/656570258282165, -968519289952758/656570258282165*e^17 + 29534267297491753/2626281033128660*e^16 + 1322040387854747/131314051656433*e^15 - 179208200462054999/656570258282165*e^14 + 266772667028269499/656570258282165*e^13 + 5640139983478709823/2626281033128660*e^12 - 7919860467290507009/1313140516564330*e^11 - 12159540766968869177/2626281033128660*e^10 + 19414325644076452888/656570258282165*e^9 - 35768003343628799051/2626281033128660*e^8 - 7130166070794273542/131314051656433*e^7 + 41815224796281762803/656570258282165*e^6 + 10046885274877017086/656570258282165*e^5 - 37362032384153695118/656570258282165*e^4 + 17616138325152588147/656570258282165*e^3 - 1796753562061093807/2626281033128660*e^2 - 2191891186883175677/1313140516564330*e + 136259566461192774/656570258282165, 4308419570035801/5252562066257320*e^17 - 14501109774664907/2626281033128660*e^16 - 1309581805944132/131314051656433*e^15 + 184033700863092937/1313140516564330*e^14 - 588686058483023193/5252562066257320*e^13 - 1604021907905532901/1313140516564330*e^12 + 12128618387603402199/5252562066257320*e^11 + 10344011255021419243/2626281033128660*e^10 - 65955287145514434071/5252562066257320*e^9 - 2000033207500823381/2626281033128660*e^8 + 6875503224052790793/262628103312866*e^7 - 10886462426839697472/656570258282165*e^6 - 19640955460030840813/1313140516564330*e^5 + 24213022784197039399/1313140516564330*e^4 - 24118858978913883179/5252562066257320*e^3 - 580939843516838271/1313140516564330*e^2 + 297470470889885923/1313140516564330*e - 26132320159040786/656570258282165, -5582153403634893/5252562066257320*e^17 + 21228140920756151/2626281033128660*e^16 + 983685694519198/131314051656433*e^15 - 258367240465758421/1313140516564330*e^14 + 1505154598536848429/5252562066257320*e^13 + 2047635285641884303/1313140516564330*e^12 - 22528610788911946667/5252562066257320*e^11 - 9160683869610056199/2626281033128660*e^10 + 110829594948747865883/5252562066257320*e^9 - 23749725382411176787/2626281033128660*e^8 - 10228162893064680941/262628103312866*e^7 + 29005018531144693326/656570258282165*e^6 + 15074396005541945449/1313140516564330*e^5 - 51966780788018888117/1313140516564330*e^4 + 98230670559478890247/5252562066257320*e^3 - 912509354384179577/1313140516564330*e^2 - 1583016963559651599/1313140516564330*e + 100743201161651458/656570258282165, -15855168801165887/10505124132514640*e^17 + 58662276481516799/5252562066257320*e^16 + 1557831267986867/131314051656433*e^15 - 714453662182473409/2626281033128660*e^14 + 3928795833537653871/10505124132514640*e^13 + 2835494231479669571/1313140516564330*e^12 - 60598290800705839473/10505124132514640*e^11 - 25537449953945921611/5252562066257320*e^10 + 300146308292786214217/10505124132514640*e^9 - 64896085780171999943/5252562066257320*e^8 - 27726536656247060851/525256206625732*e^7 + 40043762126461061047/656570258282165*e^6 + 39986847572229827511/2626281033128660*e^5 - 144876893049244629243/2626281033128660*e^4 + 271395570952942914973/10505124132514640*e^3 - 306869841317201492/656570258282165*e^2 - 4485403478760342971/2626281033128660*e + 136928945162084731/656570258282165, -4635913959623051/5252562066257320*e^17 + 17043326957115337/2626281033128660*e^16 + 938467406448505/131314051656433*e^15 - 207564105510237357/1313140516564330*e^14 + 1115956279398197003/5252562066257320*e^13 + 1647904589152435941/1313140516564330*e^12 - 17341650687317119589/5252562066257320*e^11 - 7443319985158011653/2626281033128660*e^10 + 85635886100644894461/5252562066257320*e^9 - 18589914378161066329/2626281033128660*e^8 - 7795208186194812527/262628103312866*e^7 + 22952613372250821212/656570258282165*e^6 + 9400529898488977253/1313140516564330*e^5 - 40752043667659027589/1313140516564330*e^4 + 84937473944484987529/5252562066257320*e^3 - 1376984990862924089/1313140516564330*e^2 - 1423529604261285393/1313140516564330*e + 115138398323187916/656570258282165, 4462091043209663/10505124132514640*e^17 - 15119359052481691/5252562066257320*e^16 - 687720265840713/131314051656433*e^15 + 193955876127881141/2626281033128660*e^14 - 601216655743538399/10505124132514640*e^13 - 432025849518139592/656570258282165*e^12 + 12692318096207783857/10505124132514640*e^11 + 11866971468031634999/5252562066257320*e^10 - 70780098794599228153/10505124132514640*e^9 - 6671516286161552893/5252562066257320*e^8 + 7799285416457706999/525256206625732*e^7 - 4697866334855320238/656570258282165*e^6 - 27850789415962019299/2626281033128660*e^5 + 24276654493364301787/2626281033128660*e^4 - 2565800605348676077/10505124132514640*e^3 - 1272751993442893059/1313140516564330*e^2 + 90916828211369159/2626281033128660*e + 15588312041271321/656570258282165, 1589022582747231/5252562066257320*e^17 - 5399025701202127/2626281033128660*e^16 - 530124254617599/131314051656433*e^15 + 71316407132135167/1313140516564330*e^14 - 180663043845448903/5252562066257320*e^13 - 336211865667228338/656570258282165*e^12 + 4368164464306803489/5252562066257320*e^11 + 5319613972750513603/2626281033128660*e^10 - 26111863753290619201/5252562066257320*e^9 - 7043070463158455581/2626281033128660*e^8 + 3231997147431002727/262628103312866*e^7 - 1265682615751329787/656570258282165*e^6 - 15876978681812442593/1313140516564330*e^5 + 7014344335668772679/1313140516564330*e^4 + 18469475351432648411/5252562066257320*e^3 - 1153446625692429368/656570258282165*e^2 - 240874761253227597/1313140516564330*e + 34752178767151384/656570258282165, -967272726403013/1313140516564330*e^17 + 3839095709708731/656570258282165*e^16 + 432324455738193/131314051656433*e^15 - 90749976841851922/656570258282165*e^14 + 323100467084160419/1313140516564330*e^13 + 667494800090712826/656570258282165*e^12 - 4427085845625259297/1313140516564330*e^11 - 934627370047015879/656570258282165*e^10 + 20694459038534764553/1313140516564330*e^9 - 7466317822073473587/656570258282165*e^8 - 3445753518053438254/131314051656433*e^7 + 26965353449987808564/656570258282165*e^6 + 75712455132452973/656570258282165*e^5 - 21988371627849697544/656570258282165*e^4 + 27607814865856766197/1313140516564330*e^3 - 1412995739724621564/656570258282165*e^2 - 828534820052099438/656570258282165*e + 137545171206274882/656570258282165, -5948431044412577/5252562066257320*e^17 + 22943650139021259/2626281033128660*e^16 + 881296172763948/131314051656433*e^15 - 275106328454091639/1313140516564330*e^14 + 1771501731889928641/5252562066257320*e^13 + 2100634070927240197/1313140516564330*e^12 - 25430177240588920463/5252562066257320*e^11 - 7664724670300666691/2626281033128660*e^10 + 122309424604152563207/5252562066257320*e^9 - 35629038388094180543/2626281033128660*e^8 - 10815745452760318999/262628103312866*e^7 + 36211539940127400299/656570258282165*e^6 + 9661477898362093801/1313140516564330*e^5 - 62213464072278557593/1313140516564330*e^4 + 131600733401994301483/5252562066257320*e^3 - 1780743242483552203/1313140516564330*e^2 - 2030933103892816571/1313140516564330*e + 132257491633498592/656570258282165, -2833321017228043/1313140516564330*e^17 + 21422200598738937/1313140516564330*e^16 + 2023100386053540/131314051656433*e^15 - 260291039384700347/656570258282165*e^14 + 756262431174900599/1313140516564330*e^13 + 4108764900191316937/1313140516564330*e^12 - 11346396947047447567/1313140516564330*e^11 - 9002946612214255483/1313140516564330*e^10 + 55754475651136088893/1313140516564330*e^9 - 25074400297127875689/1313140516564330*e^8 - 10235850257021271492/131314051656433*e^7 + 59691792423375378964/656570258282165*e^6 + 14216508384331194478/656570258282165*e^5 - 53313830084078019914/656570258282165*e^4 + 51133679898148880117/1313140516564330*e^3 - 1730998792330937443/1313140516564330*e^2 - 1619381698171574253/656570258282165*e + 197674409257314472/656570258282165, 2139358829922957/1050512413251464*e^17 - 8076042140075605/525256206625732*e^16 - 1976398787815646/131314051656433*e^15 + 98553091563554919/262628103312866*e^14 - 557616279253883165/1050512413251464*e^13 - 393048785798668454/131314051656433*e^12 + 8453837740894659651/1050512413251464*e^11 + 3627166653760451729/525256206625732*e^10 - 41767517703941052171/1050512413251464*e^9 + 8394120399949789585/525256206625732*e^8 + 19362269073429681357/262628103312866*e^7 - 10711065754285575343/131314051656433*e^6 - 5893561089538405813/262628103312866*e^5 + 19307233823195447663/262628103312866*e^4 - 36423667872716446935/1050512413251464*e^3 + 185257777309151088/131314051656433*e^2 + 587210262184906973/262628103312866*e - 38566327729170824/131314051656433, 3810074718892669/5252562066257320*e^17 - 13248018850762103/2626281033128660*e^16 - 1096044749325006/131314051656433*e^15 + 169225623707671943/1313140516564330*e^14 - 598215204951555677/5252562066257320*e^13 - 1493872760520946509/1313140516564330*e^12 + 11673851675955720611/5252562066257320*e^11 + 9974289597246254467/2626281033128660*e^10 - 64082500984680469059/5252562066257320*e^9 - 3808863446982482909/2626281033128660*e^8 + 6992752138310668793/262628103312866*e^7 - 9379284967457224218/656570258282165*e^6 - 24478819568769560947/1313140516564330*e^5 + 23378292820323336561/1313140516564330*e^4 - 4531802553749856071/5252562066257320*e^3 - 2755470927462177309/1313140516564330*e^2 + 166902967253372517/1313140516564330*e + 21604234241959596/656570258282165, 19179096363503569/10505124132514640*e^17 - 72413906320307873/5252562066257320*e^16 - 1715094078962009/131314051656433*e^15 + 879747094554689263/2626281033128660*e^14 - 5113901640750720097/10505124132514640*e^13 - 3470496786739723687/1313140516564330*e^12 + 76782176961997702511/10505124132514640*e^11 + 30353665749389670917/5252562066257320*e^10 - 377570691727599837399/10505124132514640*e^9 + 85210500677217132361/5252562066257320*e^8 + 34721750902656634897/525256206625732*e^7 - 50614177494900386264/656570258282165*e^6 - 49141418817477617337/2626281033128660*e^5 + 181225116459387940841/2626281033128660*e^4 - 342747350543591117891/10505124132514640*e^3 + 599215573945159194/656570258282165*e^2 + 5450823829502852397/2626281033128660*e - 168309826452728317/656570258282165, -1967501625184997/10505124132514640*e^17 + 7616121655497599/5252562066257320*e^16 + 162405534099112/131314051656433*e^15 - 92952852344916479/2626281033128660*e^14 + 556303385542607221/10505124132514640*e^13 + 741466102462823197/2626281033128660*e^12 - 8230936034387427763/10505124132514640*e^11 - 3418463761425326891/5252562066257320*e^10 + 40644964349611990627/10505124132514640*e^9 - 7955816537088257163/5252562066257320*e^8 - 3822774374367067601/525256206625732*e^7 + 5071798279428985002/656570258282165*e^6 + 6721970471943580861/2626281033128660*e^5 - 18334797260420318013/2626281033128660*e^4 + 32098404122493105903/10505124132514640*e^3 - 307915213012668403/2626281033128660*e^2 - 599483708593914091/2626281033128660*e + 20984073119818841/656570258282165, -228179094468647/5252562066257320*e^17 + 570467216504891/656570258282165*e^16 - 484639008662138/131314051656433*e^15 - 17178389518017039/1313140516564330*e^14 + 592714379649135911/5252562066257320*e^13 - 135718323871073741/2626281033128660*e^12 - 5516729480550448373/5252562066257320*e^11 + 1184771538696181096/656570258282165*e^10 + 18983429235766393817/5252562066257320*e^9 - 14002049889034714779/1313140516564330*e^8 - 431214877336016829/262628103312866*e^7 + 15474322744829263629/656570258282165*e^6 - 16776920019405450939/1313140516564330*e^5 - 20528357277446946743/1313140516564330*e^4 + 81646745636793617213/5252562066257320*e^3 - 5249907973610091711/2626281033128660*e^2 - 667565238191436808/656570258282165*e + 81359651907269672/656570258282165, 2611894257356921/5252562066257320*e^17 - 8906525796667637/2626281033128660*e^16 - 699458544559798/131314051656433*e^15 + 109946874602869137/1313140516564330*e^14 - 448289957352433113/5252562066257320*e^13 - 450681719131003938/656570258282165*e^12 + 8064561911814285319/5252562066257320*e^11 + 4687141777346521713/2626281033128660*e^10 - 41421598933019664911/5252562066257320*e^9 + 6187611049316718209/2626281033128660*e^8 + 3904461164312212561/262628103312866*e^7 - 10298694602403687487/656570258282165*e^6 - 6002622353934088113/1313140516564330*e^5 + 19302130921920642449/1313140516564330*e^4 - 37364099701673551659/5252562066257320*e^3 + 171846769914586502/656570258282165*e^2 + 695637167785615373/1313140516564330*e - 55713753650769306/656570258282165, 497369980929649/656570258282165*e^17 - 3676179387100376/656570258282165*e^16 - 813195310596379/131314051656433*e^15 + 90147208383103212/656570258282165*e^14 - 119584075532041052/656570258282165*e^13 - 727065922664318576/656570258282165*e^12 + 1874778410677612081/656570258282165*e^11 + 1761603230973045789/656570258282165*e^10 - 9387301811902108999/656570258282165*e^9 + 3353959010222028287/656570258282165*e^8 + 3548368372628598062/131314051656433*e^7 - 18702870076347329789/656570258282165*e^6 - 6207310038233910958/656570258282165*e^5 + 17356797796383229629/656570258282165*e^4 - 7504151241672111781/656570258282165*e^3 - 40787106237074896/656570258282165*e^2 + 541206445077898208/656570258282165*e - 58754661412328452/656570258282165, 19110359893319951/10505124132514640*e^17 - 72100343742740587/5252562066257320*e^16 - 1687478344473996/131314051656433*e^15 + 873376180129720057/2626281033128660*e^14 - 5131147485032359263/10505124132514640*e^13 - 1710366649097110774/656570258282165*e^12 + 76668886483087228129/10505124132514640*e^11 + 28845712668246914143/5252562066257320*e^10 - 375277963004401600201/10505124132514640*e^9 + 90925024184400000659/5252562066257320*e^8 + 34127596967034301839/525256206625732*e^7 - 51848138643098549481/656570258282165*e^6 - 42913485942918213103/2626281033128660*e^5 + 183703895171113693059/2626281033128660*e^4 - 360418008393837032989/10505124132514640*e^3 + 1622360076828187547/1313140516564330*e^2 + 5572666347469894943/2626281033128660*e - 166042509873879843/656570258282165, -1833401878935587/10505124132514640*e^17 + 7329964948318109/5252562066257320*e^16 + 112124789773005/131314051656433*e^15 - 87540033845368449/2626281033128660*e^14 + 592055378330506851/10505124132514640*e^13 + 661935337759851837/2626281033128660*e^12 - 8202186895429887813/10505124132514640*e^11 - 2282024320408986081/5252562066257320*e^10 + 38498635009600329557/10505124132514640*e^9 - 11970803884691177833/5252562066257320*e^8 - 3219944710653243583/525256206625732*e^7 + 5830455927487323167/656570258282165*e^6 + 206083261949523791/2626281033128660*e^5 - 18935354121301173483/2626281033128660*e^4 + 51512741866926961193/10505124132514640*e^3 - 1833977409756188183/2626281033128660*e^2 - 934491729848728841/2626281033128660*e + 44696953150182061/656570258282165, 2685450793660113/5252562066257320*e^17 - 10696394674868881/2626281033128660*e^16 - 263282362378801/131314051656433*e^15 + 125148311214485741/1313140516564330*e^14 - 932599682752246489/5252562066257320*e^13 - 447431334293177824/656570258282165*e^12 + 12567213438012372087/5252562066257320*e^11 + 1895085373893171889/2626281033128660*e^10 - 57999436879954302983/5252562066257320*e^9 + 24061535252425930237/2626281033128660*e^8 + 4674930922880480549/262628103312866*e^7 - 20476054648332699271/656570258282165*e^6 + 2306308699375783771/1313140516564330*e^5 + 33169048254778382527/1313140516564330*e^4 - 86376890645755406787/5252562066257320*e^3 + 920385071715520071/656570258282165*e^2 + 1500797062042312379/1313140516564330*e - 95225202657578498/656570258282165, -4698846538063311/10505124132514640*e^17 + 18992456995436637/5252562066257320*e^16 + 251786697887102/131314051656433*e^15 - 227508746827505537/2626281033128660*e^14 + 1614831972406368223/10505124132514640*e^13 + 1731128708206174211/2626281033128660*e^12 - 22336476114927587529/10505124132514640*e^11 - 6133888847974329233/5252562066257320*e^10 + 107543464237214924201/10505124132514640*e^9 - 30919485257603322249/5252562066257320*e^8 - 9814733913626944067/525256206625732*e^7 + 15617922373506379851/656570258282165*e^6 + 13967419177331382563/2626281033128660*e^5 - 55861945258439962859/2626281033128660*e^4 + 96757797939176466989/10505124132514640*e^3 + 1349790030532633591/2626281033128660*e^2 - 1819962877972326753/2626281033128660*e + 28406892527020943/656570258282165, 7573519739370317/2626281033128660*e^17 - 28353044723509839/1313140516564330*e^16 - 2856909094968392/131314051656433*e^15 + 345463049456544404/656570258282165*e^14 - 1941629198788265861/2626281033128660*e^13 - 2745206201422794162/656570258282165*e^12 + 29592264076031410103/2626281033128660*e^11 + 12437986426624179541/1313140516564330*e^10 - 146257312000062341047/2626281033128660*e^9 + 30847828018617337493/1313140516564330*e^8 + 13528716229293139360/131314051656433*e^7 - 76696067932017319578/656570258282165*e^6 - 20047403998532059286/656570258282165*e^5 + 69073328740207625053/656570258282165*e^4 - 129485921547235873383/2626281033128660*e^3 + 1018921732919469028/656570258282165*e^2 + 2016413913321403041/656570258282165*e - 253887334826844854/656570258282165, -1752660146099453/5252562066257320*e^17 + 5987672936080231/2626281033128660*e^16 + 546881393119453/131314051656433*e^15 - 77318392161600811/1313140516564330*e^14 + 230409233182785309/5252562066257320*e^13 + 698140256503406513/1313140516564330*e^12 - 4954354409598995427/5252562066257320*e^11 - 4975567578338420819/2626281033128660*e^10 + 27894445383566331123/5252562066257320*e^9 + 3905123029042869893/2626281033128660*e^8 - 3127510673289327173/262628103312866*e^7 + 3050369082967938366/656570258282165*e^6 + 11869346536478830629/1313140516564330*e^5 - 8469265275347091937/1313140516564330*e^4 - 2632902432482089553/5252562066257320*e^3 + 774255618419875213/1313140516564330*e^2 + 137073823713486431/1313140516564330*e - 6470751494592232/656570258282165, -1272151176918724/656570258282165*e^17 + 39743772037022539/2626281033128660*e^16 + 1377405649336487/131314051656433*e^15 - 237422943013853917/656570258282165*e^14 + 395466957738063557/656570258282165*e^13 + 7185246980560816569/2626281033128660*e^12 - 11168738416252852777/1313140516564330*e^11 - 12365863601609279311/2626281033128660*e^10 + 26635971855078129019/656570258282165*e^9 - 65705717130994427973/2626281033128660*e^8 - 9278065767577084688/131314051656433*e^7 + 64583458056515403979/656570258282165*e^6 + 6284055154804144268/656570258282165*e^5 - 54787046252861202554/656570258282165*e^4 + 30570819131205766911/656570258282165*e^3 - 8019787863789219321/2626281033128660*e^2 - 4026360366794952351/1313140516564330*e + 270219868272853852/656570258282165, 3985189065205557/2626281033128660*e^17 - 7566114210122307/656570258282165*e^16 - 1380922992439329/131314051656433*e^15 + 183628260418481584/656570258282165*e^14 - 1086479495268654761/2626281033128660*e^13 - 2889280422802051279/1313140516564330*e^12 + 16185573236795063623/2626281033128660*e^11 + 3112770291262913168/656570258282165*e^10 - 79429559316410994067/2626281033128660*e^9 + 9172236041138816694/656570258282165*e^8 + 7297079820140887825/131314051656433*e^7 - 42867849005358281123/656570258282165*e^6 - 10305431680916541736/656570258282165*e^5 + 38315928800675424593/656570258282165*e^4 - 72041177582929524343/2626281033128660*e^3 + 832106041892978401/1313140516564330*e^2 + 1124210139689215536/656570258282165*e - 117830855741802414/656570258282165, -68357668792125/131314051656433*e^17 + 576405300038819/131314051656433*e^16 + 71520474886093/131314051656433*e^15 - 13224862419928710/131314051656433*e^14 + 28828919523336826/131314051656433*e^13 + 89307368938934163/131314051656433*e^12 - 366121110456606314/131314051656433*e^11 - 31438900861434367/131314051656433*e^10 + 1643795456392237367/131314051656433*e^9 - 1609166984463462731/131314051656433*e^8 - 2527865458932979638/131314051656433*e^7 + 5016058986430230762/131314051656433*e^6 - 591324302586239577/131314051656433*e^5 - 3938268133478889120/131314051656433*e^4 + 2713941494689159809/131314051656433*e^3 - 249497964053799439/131314051656433*e^2 - 191821023012726934/131314051656433*e + 24440023396611892/131314051656433, -2380036333806751/5252562066257320*e^17 + 10969330885397897/2626281033128660*e^16 - 208172069812752/131314051656433*e^15 - 122800750178720847/1313140516564330*e^14 + 1284030277097347663/5252562066257320*e^13 + 767507549258320011/1313140516564330*e^12 - 15296676392870657289/5252562066257320*e^11 + 1025445266360254467/2626281033128660*e^10 + 66505915071362808921/5252562066257320*e^9 - 37743479115630689449/2626281033128660*e^8 - 4822747717898610019/262628103312866*e^7 + 27216465001534033137/656570258282165*e^6 - 9843273436122267277/1313140516564330*e^5 - 41047400071542114309/1313140516564330*e^4 + 121509746075024147389/5252562066257320*e^3 - 3553249015537842639/1313140516564330*e^2 - 1904536467639324933/1313140516564330*e + 135888843528120606/656570258282165, -17031596446809/1050512413251464*e^17 + 382247498681997/525256206625732*e^16 - 556255507121884/131314051656433*e^15 - 2380555839278141/262628103312866*e^14 + 119798123346982369/1050512413251464*e^13 - 12373996120531250/131314051656433*e^12 - 1057555674835383087/1050512413251464*e^11 + 1055245842563851343/525256206625732*e^10 + 3367208927152253335/1050512413251464*e^9 - 5814019656586959517/525256206625732*e^8 - 35896691159650865/262628103312866*e^7 + 3093311369239256807/131314051656433*e^6 - 4020812038173924787/262628103312866*e^5 - 3831375976323195423/262628103312866*e^4 + 18069721353770344027/1050512413251464*e^3 - 385483260953254053/131314051656433*e^2 - 301003315438251829/262628103312866*e + 23074883190724582/131314051656433, 1593611560849929/1050512413251464*e^17 - 5921414121180825/525256206625732*e^16 - 1556630913178076/131314051656433*e^15 + 72257335052947999/262628103312866*e^14 - 397525579944097769/1050512413251464*e^13 - 288100985648242880/131314051656433*e^12 + 6128388369481484103/1050512413251464*e^11 + 2651810254715975093/525256206625732*e^10 - 30434728771311345191/1050512413251464*e^9 + 6227837185671555989/525256206625732*e^8 + 14178244037363362835/262628103312866*e^7 - 7934198982535091200/131314051656433*e^6 - 4449487773189423379/262628103312866*e^5 + 14475594527511155231/262628103312866*e^4 - 26161255517395881027/1050512413251464*e^3 + 26388072793705320/131314051656433*e^2 + 436164189186333891/262628103312866*e - 23856385989590690/131314051656433, 2109578822273231/2626281033128660*e^17 - 16520641553752709/2626281033128660*e^16 - 567242458348931/131314051656433*e^15 + 98811745425097537/656570258282165*e^14 - 658294395467360523/2626281033128660*e^13 - 2999873843571296769/2626281033128660*e^12 + 9292815204326795019/2626281033128660*e^11 + 5271898994037320481/2626281033128660*e^10 - 44377259274773082201/2626281033128660*e^9 + 26716704173599195603/2626281033128660*e^8 + 3880347099549308300/131314051656433*e^7 - 26547902939699844729/656570258282165*e^6 - 2865470183325921153/656570258282165*e^5 + 22580932559103563694/656570258282165*e^4 - 50162422925519152069/2626281033128660*e^3 + 3229671083323280501/2626281033128660*e^2 + 1678280870854356301/1313140516564330*e - 116459948718994682/656570258282165, -382719496000293/262628103312866*e^17 + 1460979839981071/131314051656433*e^16 + 1150441589185546/131314051656433*e^15 - 34794478133486428/131314051656433*e^14 + 112381400787596983/262628103312866*e^13 + 261051045169155156/131314051656433*e^12 - 1608013067477192347/262628103312866*e^11 - 425119085764364817/131314051656433*e^10 + 7636386774621417929/262628103312866*e^9 - 2536948534715196623/131314051656433*e^8 - 6482419652325686358/131314051656433*e^7 + 9689698022333835598/131314051656433*e^6 + 328110142279085420/131314051656433*e^5 - 8066382295854936108/131314051656433*e^4 + 9766753968964363907/262628103312866*e^3 - 429987818151985000/131314051656433*e^2 - 304018673861033536/131314051656433*e + 43760269061601030/131314051656433, 1296432188622987/10505124132514640*e^17 - 5068848463571649/5252562066257320*e^16 - 119159001797157/131314051656433*e^15 + 62981081748756189/2626281033128660*e^14 - 342903588930298571/10505124132514640*e^13 - 523472431308019467/2626281033128660*e^12 + 5237841029981588333/10505124132514640*e^11 + 2860710032004617661/5252562066257320*e^10 - 26396956542724656397/10505124132514640*e^9 + 2781470515470273893/5252562066257320*e^8 + 2586040174581165519/525256206625732*e^7 - 2820119737663854387/656570258282165*e^6 - 5977265416646315071/2626281033128660*e^5 + 11440206763970193343/2626281033128660*e^4 - 15177833341933796033/10505124132514640*e^3 - 706627574529234847/2626281033128660*e^2 + 334485706296002461/2626281033128660*e - 6799009787592801/656570258282165, -1769497160161977/1050512413251464*e^17 + 6961861378923085/525256206625732*e^16 + 1125910365102217/131314051656433*e^15 - 83019676392482269/262628103312866*e^14 + 565224294266557625/1050512413251464*e^13 + 312474526829212825/131314051656433*e^12 - 7911331516639852911/1050512413251464*e^11 - 2077505173347043237/525256206625732*e^10 + 37630288858314824935/1050512413251464*e^9 - 11918529741328863401/525256206625732*e^8 - 16348638930217276189/262628103312866*e^7 + 11528172683373144412/131314051656433*e^6 + 2165720069440737119/262628103312866*e^5 - 19535661712143854075/262628103312866*e^4 + 43166207380428761571/1050512413251464*e^3 - 327772882103625853/131314051656433*e^2 - 688880789547956215/262628103312866*e + 45855491435360718/131314051656433, 1387432903960933/656570258282165*e^17 - 21569098337220559/1313140516564330*e^16 - 1620863572497496/131314051656433*e^15 + 259450143389776874/656570258282165*e^14 - 417209347866133169/656570258282165*e^13 - 3994032861578893189/1313140516564330*e^12 + 5985792551237703352/656570258282165*e^11 + 7642149423850556441/1313140516564330*e^10 - 28897351962016178953/656570258282165*e^9 + 31595245113423422713/1313140516564330*e^8 + 10353395442672725454/131314051656433*e^7 - 66338357868442796823/656570258282165*e^6 - 11294647099532296466/656570258282165*e^5 + 57670491676977808113/656570258282165*e^4 - 29211333524301108597/656570258282165*e^3 + 2493466581530401981/1313140516564330*e^2 + 1851140546920040991/656570258282165*e - 232919198255135624/656570258282165, 13059661623569317/5252562066257320*e^17 - 47993573159201729/2626281033128660*e^16 - 2750641028076228/131314051656433*e^15 + 589487180147727189/1313140516564330*e^14 - 3052814393246555741/5252562066257320*e^13 - 2387404118425091346/656570258282165*e^12 + 48390191792017857163/5252562066257320*e^11 + 23587483718303948961/2626281033128660*e^10 - 243059297440892944267/5252562066257320*e^9 + 41033465879121249593/2626281033128660*e^8 + 23039704713561864243/262628103312866*e^7 - 59565692374376365944/656570258282165*e^6 - 41173970297039683561/1313140516564330*e^5 + 110800786612634563323/1313140516564330*e^4 - 189696933365265213303/5252562066257320*e^3 + 155169818403955399/656570258282165*e^2 + 3027473933665756201/1313140516564330*e - 177160179960904032/656570258282165, 9414320020136017/5252562066257320*e^17 - 37275308518455799/2626281033128660*e^16 - 1177408422107446/131314051656433*e^15 + 445413388584868329/1313140516564330*e^14 - 3030722513177920841/5252562066257320*e^13 - 3371202401337123787/1313140516564330*e^12 + 42346429522738002623/5252562066257320*e^11 + 11637653381310688071/2626281033128660*e^10 - 201542064957269787167/5252562066257320*e^9 + 61397702829638490243/2626281033128660*e^8 + 17573480094346949929/262628103312866*e^7 - 60416238159234656504/656570258282165*e^6 - 12639012384870310261/1313140516564330*e^5 + 102402734151262848073/1313140516564330*e^4 - 227815926237800751763/5252562066257320*e^3 + 3889432624108734963/1313140516564330*e^2 + 3725813577273432591/1313140516564330*e - 261980898556352392/656570258282165, 8279669603927051/10505124132514640*e^17 - 32663058974139707/5252562066257320*e^16 - 552531629584928/131314051656433*e^15 + 392382927906375317/2626281033128660*e^14 - 2598360650649349083/10505124132514640*e^13 - 1505492904100500363/1313140516564330*e^12 + 36724701191426890469/10505124132514640*e^11 + 11340631874273049183/5252562066257320*e^10 - 176257371277228593821/10505124132514640*e^9 + 48611898094592758179/5252562066257320*e^8 + 15665325850045207079/525256206625732*e^7 - 25147206671265812656/656570258282165*e^6 - 15648538459654292523/2626281033128660*e^5 + 85889042346987556639/2626281033128660*e^4 - 182642754388136301569/10505124132514640*e^3 + 892938458194132926/656570258282165*e^2 + 2657500502951388983/2626281033128660*e - 104305620017537663/656570258282165, 948098906998045/2101024826502928*e^17 - 4302262784812573/1050512413251464*e^16 + 168953301920276/131314051656433*e^15 + 48100280819445719/525256206625732*e^14 - 493804531532648589/2101024826502928*e^13 - 149763329079060051/262628103312866*e^12 + 5899914600990834579/2101024826502928*e^11 - 424372088521522823/1050512413251464*e^10 - 25476236632498168427/2101024826502928*e^9 + 14835735846338988909/1050512413251464*e^8 + 8931492813836231405/525256206625732*e^7 - 5306498732270698311/131314051656433*e^6 + 4777252708885385191/525256206625732*e^5 + 15638712971242599833/525256206625732*e^4 - 50075257193886686119/2101024826502928*e^3 + 451441053233303412/131314051656433*e^2 + 776012774003992513/525256206625732*e - 31951310262064337/131314051656433, -276173745168191/2626281033128660*e^17 + 1612171201837297/1313140516564330*e^16 - 195167151773788/131314051656433*e^15 - 18325486660029627/656570258282165*e^14 + 231690099115678023/2626281033128660*e^13 + 119640471026817326/656570258282165*e^12 - 2647379692461913609/2626281033128660*e^11 + 36981527679269557/1313140516564330*e^10 + 12041420646813635881/2626281033128660*e^9 - 5225751918774674759/1313140516564330*e^8 - 1082928079846613425/131314051656433*e^7 + 8099737868784787874/656570258282165*e^6 + 1737221253361058603/656570258282165*e^5 - 7097189444540922919/656570258282165*e^4 + 9435100998450709869/2626281033128660*e^3 + 566967333523329966/656570258282165*e^2 - 187136736571754763/656570258282165*e - 8775535781600468/656570258282165, 5797910877946603/5252562066257320*e^17 - 5434175883620694/656570258282165*e^16 - 1063830879377597/131314051656433*e^15 + 263991317308700651/1313140516564330*e^14 - 1517747623863500379/5252562066257320*e^13 - 4161335928647315711/2626281033128660*e^12 + 22948339323984690777/5252562066257320*e^11 + 2259153999371693011/656570258282165*e^10 - 113119789149733510813/5252562066257320*e^9 + 13034378486962507021/1313140516564330*e^8 + 10431954841670233029/262628103312866*e^7 - 30800120494152965981/656570258282165*e^6 - 15081954853113507469/1313140516564330*e^5 + 55738401197285432947/1313140516564330*e^4 - 101854787254715456697/5252562066257320*e^3 - 176201689026318661/2626281033128660*e^2 + 867981837258476887/656570258282165*e - 77607240480082288/656570258282165, -1711669470861957/2626281033128660*e^17 + 14855935524471273/2626281033128660*e^16 + 42541464030371/131314051656433*e^15 - 86259375985747414/656570258282165*e^14 + 752382635907629361/2626281033128660*e^13 + 2414355203660590493/2626281033128660*e^12 - 9557828129294523773/2626281033128660*e^11 - 1911347371836268337/2626281033128660*e^10 + 43660211535532962847/2626281033128660*e^9 - 36727136680211250131/2626281033128660*e^8 - 3585593883608960183/131314051656433*e^7 + 30189243404670754558/656570258282165*e^6 - 185957577527001079/656570258282165*e^5 - 24518768140784665768/656570258282165*e^4 + 58645837385179459803/2626281033128660*e^3 - 3699979054949264517/2626281033128660*e^2 - 1940458569338738257/1313140516564330*e + 118408081125679604/656570258282165, 23471221419971679/10505124132514640*e^17 - 91499660020323353/5252562066257320*e^16 - 1646966986256736/131314051656433*e^15 + 1096803483961126553/2626281033128660*e^14 - 7184041724217085087/10505124132514640*e^13 - 8368124972868384849/2626281033128660*e^12 + 102181349173933532121/10505124132514640*e^11 + 30379546139643131997/5252562066257320*e^10 - 490006847967789384809/10505124132514640*e^9 + 142912569674698885021/5252562066257320*e^8 + 43212899164166386611/525256206625732*e^7 - 72381591918950938359/656570258282165*e^6 - 37450246017887674947/2626281033128660*e^5 + 248114281408581236851/2626281033128660*e^4 - 530665514533391273741/10505124132514640*e^3 + 7784876727687424431/2626281033128660*e^2 + 8289859217113534777/2626281033128660*e - 280995537991244037/656570258282165, -9730663011878849/10505124132514640*e^17 + 35728352014012083/5252562066257320*e^16 + 1069605679444891/131314051656433*e^15 - 442760449797177023/2626281033128660*e^14 + 2196332019414919937/10505124132514640*e^13 + 3660412022674397829/2626281033128660*e^12 - 35614056416438770151/10505124132514640*e^11 - 19638982418972786407/5252562066257320*e^10 + 182113031051096424839/10505124132514640*e^9 - 21514337588154076271/5252562066257320*e^8 - 17959837605753196773/525256206625732*e^7 + 20107906684767280564/656570258282165*e^6 + 41823200354417197037/2626281033128660*e^5 - 78839372365231145341/2626281033128660*e^4 + 103836010524968096611/10505124132514640*e^3 + 2154725137512257589/2626281033128660*e^2 - 1574935432849361127/2626281033128660*e + 27707729291937727/656570258282165, -108330986902687/131314051656433*e^17 + 902569560397200/131314051656433*e^16 + 180838459771901/131314051656433*e^15 - 20796658824432072/131314051656433*e^14 + 43937926849609701/131314051656433*e^13 + 142272306395742904/131314051656433*e^12 - 564330238901866214/131314051656433*e^11 - 73817235246084002/131314051656433*e^10 + 2547845413276250208/131314051656433*e^9 - 2406599677104024150/131314051656433*e^8 - 3960458222857381509/131314051656433*e^7 + 7616814307700370480/131314051656433*e^6 - 787448552028459834/131314051656433*e^5 - 5975397238057555810/131314051656433*e^4 + 4065639052982052236/131314051656433*e^3 - 424016863975185706/131314051656433*e^2 - 249840437020829979/131314051656433*e + 38031084701545278/131314051656433, -1715624968578695/2101024826502928*e^17 + 7323610727914771/1050512413251464*e^16 + 42573215872954/131314051656433*e^15 - 83663339258135921/525256206625732*e^14 + 752430824129689207/2101024826502928*e^13 + 139449788041643201/131314051656433*e^12 - 9452202725313045001/2101024826502928*e^11 - 209904828264774623/1050512413251464*e^10 + 42221607529986243185/2101024826502928*e^9 - 21286229890492187955/1050512413251464*e^8 - 16096500731680433575/525256206625732*e^7 + 8170059226183691610/131314051656433*e^6 - 4131060059075430469/525256206625732*e^5 - 25504316688994093071/525256206625732*e^4 + 70482590022045148677/2101024826502928*e^3 - 843219185434405093/262628103312866*e^2 - 1163222197324388655/525256206625732*e + 41475766628116275/131314051656433, 126577698296089/2626281033128660*e^17 - 751433302346463/1313140516564330*e^16 + 205297907045819/131314051656433*e^15 + 6033585642780053/656570258282165*e^14 - 157588332629022557/2626281033128660*e^13 + 11833642546065031/656570258282165*e^12 + 1522425730210680911/2626281033128660*e^11 - 1343205768117025693/1313140516564330*e^10 - 5122658253849753279/2626281033128660*e^9 + 8186178671790375531/1313140516564330*e^8 + 45996675506779836/131314051656433*e^7 - 9033611861612639706/656570258282165*e^6 + 5738318315171503138/656570258282165*e^5 + 5699339961658124621/656570258282165*e^4 - 26502156578141186111/2626281033128660*e^3 + 1126469941689553601/656570258282165*e^2 + 457130118305177972/656570258282165*e - 77054680607575378/656570258282165, -19246755504281797/10505124132514640*e^17 + 70913033065111389/5252562066257320*e^16 + 1907768662669116/131314051656433*e^15 - 862002747992459219/2626281033128660*e^14 + 4719500336624335141/10505124132514640*e^13 + 3405948069354259741/1313140516564330*e^12 - 72833968460908570603/10505124132514640*e^11 - 30059091769726697041/5252562066257320*e^10 + 359079657785666172067/10505124132514640*e^9 - 81626930015701113013/5252562066257320*e^8 - 32672943870620659725/525256206625732*e^7 + 48936077384112791052/656570258282165*e^6 + 39633208583448963641/2626281033128660*e^5 - 174067886779854260653/2626281033128660*e^4 + 354094723182520134543/10505124132514640*e^3 - 1047655056124020057/656570258282165*e^2 - 5906004886957091961/2626281033128660*e + 196379958753043281/656570258282165, 15290767299337801/10505124132514640*e^17 - 56306867050617057/5252562066257320*e^16 - 1579761642719872/131314051656433*e^15 + 689841437111512547/2626281033128660*e^14 - 3632615015557865113/10505124132514640*e^13 - 2777284485806756283/1313140516564330*e^12 + 57093907432768575239/10505124132514640*e^11 + 26744170057457260173/5252562066257320*e^10 - 285258599395552334191/10505124132514640*e^9 + 52187963941128152449/5252562066257320*e^8 + 26739006057248775293/525256206625732*e^7 - 35885860833688546726/656570258282165*e^6 - 43533455699956387453/2626281033128660*e^5 + 132006974975519849649/2626281033128660*e^4 - 240772551504500672059/10505124132514640*e^3 + 234802074984435006/656570258282165*e^2 + 4241269043326666333/2626281033128660*e - 107144575568677873/656570258282165, -9919872775146461/10505124132514640*e^17 + 40469443338101097/5252562066257320*e^16 + 421988533138612/131314051656433*e^15 - 476899872869270307/2626281033128660*e^14 + 3598425957957033053/10505124132514640*e^13 + 869801423008507144/656570258282165*e^12 - 48190406071590550899/10505124132514640*e^11 - 9065296367576533293/5252562066257320*e^10 + 224259876432119820411/10505124132514640*e^9 - 82315561788106512569/5252562066257320*e^8 - 18745313684250252741/525256206625732*e^7 + 36481559736883482546/656570258282165*e^6 + 2306947017717575793/2626281033128660*e^5 - 119028821700982926749/2626281033128660*e^4 + 293372593290613398439/10505124132514640*e^3 - 3422872625798899237/1313140516564330*e^2 - 4952652517904283213/2626281033128660*e + 191029831480955403/656570258282165, -10280334747521717/10505124132514640*e^17 + 40404472361968059/5252562066257320*e^16 + 660561169385603/131314051656433*e^15 - 482662784930082219/2626281033128660*e^14 + 3279508607923921141/10505124132514640*e^13 + 3648370698489110987/2626281033128660*e^12 - 46084847652790682483/10505124132514640*e^11 - 12428261682232160471/5252562066257320*e^10 + 220574605073680242627/10505124132514640*e^9 - 67984093717442201943/5252562066257320*e^8 - 19502585565282641733/525256206625732*e^7 + 33429421005036853577/656570258282165*e^6 + 17899891801633083661/2626281033128660*e^5 - 115968589943702079113/2626281033128660*e^4 + 236332190105936399503/10505124132514640*e^3 - 834744604274935673/2626281033128660*e^2 - 4077722963964373651/2626281033128660*e + 96118262881690061/656570258282165, -2909533155377053/2626281033128660*e^17 + 5752894169602713/656570258282165*e^16 + 723780234988609/131314051656433*e^15 - 137258951657695801/656570258282165*e^14 + 937661554103903169/2626281033128660*e^13 + 2068913080885289531/1313140516564330*e^12 - 13076683388009084427/2626281033128660*e^11 - 1735709762979464347/656570258282165*e^10 + 62055754759708982503/2626281033128660*e^9 - 9738978095453950556/656570258282165*e^8 - 5365240159876315536/131314051656433*e^7 + 37780444280901103152/656570258282165*e^6 + 3163717203776030999/656570258282165*e^5 - 31827161727891194227/656570258282165*e^4 + 72600011546567388347/2626281033128660*e^3 - 2655843384317177679/1313140516564330*e^2 - 1150312048377690819/656570258282165*e + 160059828103947906/656570258282165, -44495304755701/656570258282165*e^17 + 1062810124847131/2626281033128660*e^16 + 222562840254773/131314051656433*e^15 - 8683533087150473/656570258282165*e^14 - 7527695531913612/656570258282165*e^13 + 445613082664197721/2626281033128660*e^12 - 47660647097352743/1313140516564330*e^11 - 2846161684090302299/2626281033128660*e^10 + 527876030845597276/656570258282165*e^9 + 9407453133751086383/2626281033128660*e^8 - 503087229810253738/131314051656433*e^7 - 3676693830756607489/656570258282165*e^6 + 5002952807400853702/656570258282165*e^5 + 1772611173773344789/656570258282165*e^4 - 3649938432593376341/656570258282165*e^3 + 2122154106431516691/2626281033128660*e^2 + 682013734034969521/1313140516564330*e - 30251397328797892/656570258282165, -4158412308896489/5252562066257320*e^17 + 17306551687268263/2626281033128660*e^16 + 149285078834770/131314051656433*e^15 - 198412123910681933/1313140516564330*e^14 + 1710983822811492777/5252562066257320*e^13 + 1337367990567073919/1313140516564330*e^12 - 21868775435301121271/5252562066257320*e^11 - 877978036974040847/2626281033128660*e^10 + 98396995971404783999/5252562066257320*e^9 - 48602644621453023571/2626281033128660*e^8 - 7582539213439165519/262628103312866*e^7 + 37778475058459766308/656570258282165*e^6 - 8596542197098739943/1313140516564330*e^5 - 59174352860250159271/1313140516564330*e^4 + 160553135061620898691/5252562066257320*e^3 - 3938828411212932171/1313140516564330*e^2 - 2505711570535075287/1313140516564330*e + 187375858433034374/656570258282165, 928624991198941/5252562066257320*e^17 - 1748649314920167/2626281033128660*e^16 - 778151341706426/131314051656433*e^15 + 32656667804794897/1313140516564330*e^14 + 374110719563859747/5252562066257320*e^13 - 477160442143366191/1313140516564330*e^12 - 1704076143578850261/5252562066257320*e^11 + 6862891318524811123/2626281033128660*e^10 - 800426999196926051/5252562066257320*e^9 - 25010280758128448681/2626281033128660*e^8 + 1523926062676238573/262628103312866*e^7 + 10500479902345595843/656570258282165*e^6 - 21217184515684189383/1313140516564330*e^5 - 10420093827473854611/1313140516564330*e^4 + 69680089720718568401/5252562066257320*e^3 - 3398372934522876831/1313140516564330*e^2 - 1112946811607112337/1313140516564330*e + 75327499640021654/656570258282165, -217915252571449/1313140516564330*e^17 + 318991525681023/656570258282165*e^16 + 832501680891294/131314051656433*e^15 - 13703270676787391/656570258282165*e^14 - 114796959332822503/1313140516564330*e^13 + 222790531720214183/656570258282165*e^12 + 655915766531745509/1313140516564330*e^11 - 1737222834569545007/656570258282165*e^10 - 846107638770999121/1313140516564330*e^9 + 6732204041962367384/656570258282165*e^8 - 560925308137442418/131314051656433*e^7 - 11938233116212318013/656570258282165*e^6 + 10040810002999699064/656570258282165*e^5 + 6545704497808174658/656570258282165*e^4 - 17604745269665864869/1313140516564330*e^3 + 1529609983448873388/656570258282165*e^2 + 513820062738326586/656570258282165*e - 94162451345853934/656570258282165, 5092242939080023/10505124132514640*e^17 - 19305249713450541/5252562066257320*e^16 - 355655107315776/131314051656433*e^15 + 226839326907776981/2626281033128660*e^14 - 1544624240834717559/10505124132514640*e^13 - 1642016994740539503/2626281033128660*e^12 + 21718600729234272897/10505124132514640*e^11 + 3970527301338000009/5252562066257320*e^10 - 101561420505172341553/10505124132514640*e^9 + 40880085043510326257/5252562066257320*e^8 + 8273445574465621523/525256206625732*e^7 - 17811704014213769778/656570258282165*e^6 + 3269211130071152581/2626281033128660*e^5 + 57896721296244666087/2626281033128660*e^4 - 148936767596941559317/10505124132514640*e^3 + 3257642378492827017/2626281033128660*e^2 + 2387250446659302569/2626281033128660*e - 61673365994128169/656570258282165, -6283822004372401/5252562066257320*e^17 + 24338227529449597/2626281033128660*e^16 + 943147313980005/131314051656433*e^15 - 293062933686417587/1313140516564330*e^14 + 1862926383599852833/5252562066257320*e^13 + 1130726386516208908/656570258282165*e^12 - 26863701481605895919/5252562066257320*e^11 - 8776846265299429633/2626281033128660*e^10 + 129936709243959678391/5252562066257320*e^9 - 35021420466633650589/2626281033128660*e^8 - 11664267074873726377/262628103312866*e^7 + 37177300685621299632/656570258282165*e^6 + 12952087972162594563/1313140516564330*e^5 - 65023156712199590469/1313140516564330*e^4 + 131406388642769910419/5252562066257320*e^3 - 556833941238694587/656570258282165*e^2 - 2272474117306274533/1313140516564330*e + 135743798115663866/656570258282165, -6481608463404297/10505124132514640*e^17 + 22381532954032019/5252562066257320*e^16 + 928137815756588/131314051656433*e^15 - 284033177161691599/2626281033128660*e^14 + 1014820042607783801/10505124132514640*e^13 + 2474538467718468377/2626281033128660*e^12 - 19626719270452013983/10505124132514640*e^11 - 15913697183556017711/5252562066257320*e^10 + 106219582647283380927/10505124132514640*e^9 + 2605054785720020177/5252562066257320*e^8 - 11223446930226317473/525256206625732*e^7 + 8670854934895821842/656570258282165*e^6 + 34682973285582008341/2626281033128660*e^5 - 39578049993690299413/2626281033128660*e^4 + 27923805261956363963/10505124132514640*e^3 + 2457036257105314337/2626281033128660*e^2 - 601174754142508551/2626281033128660*e + 21491252502944581/656570258282165, -7597041262722551/5252562066257320*e^17 + 25722100788457297/2626281033128660*e^16 + 2316331357339113/131314051656433*e^15 - 328251677436495757/1313140516564330*e^14 + 1041286996378918943/5252562066257320*e^13 + 2893537123903344701/1313140516564330*e^12 - 21611386289990295449/5252562066257320*e^11 - 19277583812125590933/2626281033128660*e^10 + 118992522157946677521/5252562066257320*e^9 + 7409248528538239931/2626281033128660*e^8 - 12778778225337209059/262628103312866*e^7 + 17755361079485402522/656570258282165*e^6 + 41532041205763513033/1313140516564330*e^5 - 42697559378755406519/1313140516564330*e^4 + 22260489579619753469/5252562066257320*e^3 + 3186807668016960361/1313140516564330*e^2 - 305530563157516853/1313140516564330*e - 17110340405159374/656570258282165, -5606629673532807/2626281033128660*e^17 + 20902304111112519/1313140516564330*e^16 + 2139112033224538/131314051656433*e^15 - 254407456524997174/656570258282165*e^14 + 1422089245663583471/2626281033128660*e^13 + 2016688799455936402/656570258282165*e^12 - 21716485588485279153/2626281033128660*e^11 - 9037971780934485741/1313140516564330*e^10 + 107078240534625054977/2626281033128660*e^9 - 23240016620270347243/1313140516564330*e^8 - 9815385146923596175/131314051656433*e^7 + 56824751888129011298/656570258282165*e^6 + 13142136508756948171/656570258282165*e^5 - 50588752509901704218/656570258282165*e^4 + 100623935531745707133/2626281033128660*e^3 - 1346196931996897238/656570258282165*e^2 - 1635391217404689131/656570258282165*e + 233513177164819784/656570258282165, 11723599540769957/10505124132514640*e^17 - 39545250159527389/5252562066257320*e^16 - 1811971531661935/131314051656433*e^15 + 505885276687006339/2626281033128660*e^14 - 1558882326311855701/10505124132514640*e^13 - 2240993680654572351/1313140516564330*e^12 + 32973309571023475483/10505124132514640*e^11 + 30300353388588324641/5252562066257320*e^10 - 182843191476641712707/10505124132514640*e^9 - 14300606982789985427/5252562066257320*e^8 + 19855343230274061573/525256206625732*e^7 - 12976063534406990152/656570258282165*e^6 - 67187402727896177661/2626281033128660*e^5 + 64429345729857962073/2626281033128660*e^4 - 22702896866267385023/10505124132514640*e^3 - 1409729604803947308/656570258282165*e^2 + 348288162202873121/2626281033128660*e + 22476596931431299/656570258282165, -1111950544007735/2101024826502928*e^17 + 3587235218361049/1050512413251464*e^16 + 1037108504139648/131314051656433*e^15 - 47762372653845897/525256206625732*e^14 + 78419988247106967/2101024826502928*e^13 + 457133952606958161/525256206625732*e^12 - 2573455277206745185/2101024826502928*e^11 - 3743069922548417901/1050512413251464*e^10 + 16061559208032205665/2101024826502928*e^9 + 5634404330169960531/1050512413251464*e^8 - 10153533682928012439/525256206625732*e^7 + 169073935858557993/131314051656433*e^6 + 10181303520505099983/525256206625732*e^5 - 3827907360569859971/525256206625732*e^4 - 12222320128748138075/2101024826502928*e^3 + 1380069024560136173/525256206625732*e^2 + 140886374681204783/525256206625732*e - 14079953673997483/131314051656433, -30818288257435427/10505124132514640*e^17 + 118508998247429639/5252562066257320*e^16 + 2371994767186727/131314051656433*e^15 - 1425105319566932369/2626281033128660*e^14 + 8998740038057289651/10505124132514640*e^13 + 2740265229176209528/656570258282165*e^12 - 130217827056481254093/10505124132514640*e^11 - 41756175666120668451/5252562066257320*e^10 + 628997762859216939717/10505124132514640*e^9 - 174690113904308490423/5252562066257320*e^8 - 56067970155099003043/525256206625732*e^7 + 91400406478637035317/656570258282165*e^6 + 56009353148824308551/2626281033128660*e^5 - 317442976287195770423/2626281033128660*e^4 + 658375041288383667433/10505124132514640*e^3 - 3643464015544826249/1313140516564330*e^2 - 10886505490292008691/2626281033128660*e + 351260444897214831/656570258282165, 1401840430033613/525256206625732*e^17 - 10622954291664589/525256206625732*e^16 - 2506745442985637/131314051656433*e^15 + 64669412183009810/131314051656433*e^14 - 374310099367483365/525256206625732*e^13 - 2051743832524177557/525256206625732*e^12 + 5625749527509933505/525256206625732*e^11 + 4604700654897908893/525256206625732*e^10 - 27731243420232009287/525256206625732*e^9 + 11822919918588289979/525256206625732*e^8 + 12839411533299740900/131314051656433*e^7 - 14517752728687727869/131314051656433*e^6 - 3894932546579795769/131314051656433*e^5 + 13081570937868804808/131314051656433*e^4 - 24177382119988510935/525256206625732*e^3 + 610388440127809813/525256206625732*e^2 + 770196780765407345/262628103312866*e - 46651212441684842/131314051656433, -5218412475754733/2626281033128660*e^17 + 19477845952082551/1313140516564330*e^16 + 1975757792660370/131314051656433*e^15 - 237020835669636616/656570258282165*e^14 + 1332995526089512589/2626281033128660*e^13 + 1877601723793153233/656570258282165*e^12 - 20325221138730918307/2626281033128660*e^11 - 8378687862781832559/1313140516564330*e^10 + 100336329886126539043/2626281033128660*e^9 - 21936061774365165667/1313140516564330*e^8 - 9242464470309032921/131314051656433*e^7 + 53412926735986250692/656570258282165*e^6 + 13103166794045566229/656570258282165*e^5 - 47868241339668774017/656570258282165*e^4 + 91122630162180403807/2626281033128660*e^3 - 815550232380225367/656570258282165*e^2 - 1387066009942179139/656570258282165*e + 184599587509931836/656570258282165, 19034708074793927/10505124132514640*e^17 - 71087371010335769/5252562066257320*e^16 - 1822040869252861/131314051656433*e^15 + 866628752851010149/2626281033128660*e^14 - 4819737803546150791/10505124132514640*e^13 - 6896107473943222997/2626281033128660*e^12 + 73748347089710625073/10505124132514640*e^11 + 31461216478540487581/5252562066257320*e^10 - 364550919315459889057/10505124132514640*e^9 + 75986741924742029813/5252562066257320*e^8 + 33646036579256021159/525256206625732*e^7 - 47661750203255920767/656570258282165*e^6 - 48543534219947636891/2626281033128660*e^5 + 171293439435049648243/2626281033128660*e^4 - 328070488256627238933/10505124132514640*e^3 + 3378227657714963223/2626281033128660*e^2 + 5078989334953812881/2626281033128660*e - 159801244861687621/656570258282165, 5236738085221983/5252562066257320*e^17 - 22001371525491351/2626281033128660*e^16 - 184680259148430/131314051656433*e^15 + 253969035333310741/1313140516564330*e^14 - 2164999410135320279/5252562066257320*e^13 - 873455454114510409/656570258282165*e^12 + 27759971153489485617/5252562066257320*e^11 + 2035622895041398299/2626281033128660*e^10 - 125917223243938700673/5252562066257320*e^9 + 57780195760314726387/2626281033128660*e^8 + 9977816993898961929/262628103312866*e^7 - 46180110211705890666/656570258282165*e^6 + 6673989501212993951/1313140516564330*e^5 + 73515211693111114907/1313140516564330*e^4 - 191159996464201777077/5252562066257320*e^3 + 2010812026402622726/656570258282165*e^2 + 3199019181142359699/1313140516564330*e - 211532689332203688/656570258282165, 14746786653615289/5252562066257320*e^17 - 57111535303441323/2626281033128660*e^16 - 2206881671096228/131314051656433*e^15 + 687385615513576253/1313140516564330*e^14 - 4376889326903965177/5252562066257320*e^13 - 5298585414750423249/1313140516564330*e^12 + 63057229612912877311/5252562066257320*e^11 + 20445978358590314967/2626281033128660*e^10 - 304686729085377858879/5252562066257320*e^9 + 82740294160566029331/2626281033128660*e^8 + 27282385459042349069/262628103312866*e^7 - 87379449323914603628/656570258282165*e^6 - 29432266978092349977/1313140516564330*e^5 + 152069012677340693011/1313140516564330*e^4 - 309476161785325743851/5252562066257320*e^3 + 3364026542657540281/1313140516564330*e^2 + 4891377499787737267/1313140516564330*e - 313996077916430234/656570258282165, -4478159315142661/10505124132514640*e^17 + 15635490506011677/5252562066257320*e^16 + 544088966189691/131314051656433*e^15 - 191425815422294107/2626281033128660*e^14 + 885224953408311253/10505124132514640*e^13 + 769472804818073623/1313140516564330*e^12 - 14913727454691887739/10505124132514640*e^11 - 7356525333510010833/5252562066257320*e^10 + 75205669006967041491/10505124132514640*e^9 - 14820498500142581109/5252562066257320*e^8 - 6945245357802117617/525256206625732*e^7 + 10051441657364974286/656570258282165*e^6 + 8986211792775402373/2626281033128660*e^5 - 36880483219195087609/2626281033128660*e^4 + 74604157753817938639/10505124132514640*e^3 - 88706460618216636/656570258282165*e^2 - 1528541326937153713/2626281033128660*e + 32659365243835533/656570258282165, 19860996578443/1050512413251464*e^17 - 96084607911989/262628103312866*e^16 + 137032130731976/131314051656433*e^15 + 2018708737622115/262628103312866*e^14 - 38224002763862363/1050512413251464*e^13 - 19386538300758901/525256206625732*e^12 + 394542139515853065/1050512413251464*e^11 - 48696082823574543/262628103312866*e^10 - 1687377409844394349/1050512413251464*e^9 + 264175619186684423/131314051656433*e^8 + 690475908525145391/262628103312866*e^7 - 719139700657624695/131314051656433*e^6 - 67912191681236435/262628103312866*e^5 + 1269701415363421449/262628103312866*e^4 - 1846978921754715689/1050512413251464*e^3 - 352672483266446891/525256206625732*e^2 + 16923133582239673/131314051656433*e + 5367862886057458/131314051656433, -4918593622656391/10505124132514640*e^17 + 18221729697198377/5252562066257320*e^16 + 498953530381535/131314051656433*e^15 - 223199632670194377/2626281033128660*e^14 + 1187550060071596583/10505124132514640*e^13 + 1796368484931833141/2626281033128660*e^12 - 18539480092194084929/10505124132514640*e^11 - 8632682906343928613/5252562066257320*e^10 + 92416114491230235681/10505124132514640*e^9 - 16973663536270756349/5252562066257320*e^8 - 8642999041305174507/525256206625732*e^7 + 11624219263154906996/656570258282165*e^6 + 13956229315522667563/2626281033128660*e^5 - 42613453232045718439/2626281033128660*e^4 + 77374167173734870469/10505124132514640*e^3 - 496551191608952399/2626281033128660*e^2 - 1069563835961101573/2626281033128660*e + 27122525690207513/656570258282165, 8395900537356097/10505124132514640*e^17 - 33958509154510059/5252562066257320*e^16 - 359713854694447/131314051656433*e^15 + 397901907796943139/2626281033128660*e^14 - 3031291751649014881/10505124132514640*e^13 - 2857810732844851217/2626281033128660*e^12 + 40490116103596727783/10505124132514640*e^11 + 6382184304995031191/5252562066257320*e^10 - 187128454244091098007/10505124132514640*e^9 + 74511759383914348383/5252562066257320*e^8 + 15292654200349873845/525256206625732*e^7 - 31920983284059452797/656570258282165*e^6 + 3586705093915147279/2626281033128660*e^5 + 102836593256470104533/2626281033128660*e^4 - 262850329616172828483/10505124132514640*e^3 + 6551442682419942423/2626281033128660*e^2 + 4095223537187192351/2626281033128660*e - 155554774877779901/656570258282165, 905900268489593/656570258282165*e^17 - 14742084714950499/1313140516564330*e^16 - 613265989401228/131314051656433*e^15 + 173409089809502384/656570258282165*e^14 - 329129098083302829/656570258282165*e^13 - 2516832179999329569/1313140516564330*e^12 + 4406875019770020002/656570258282165*e^11 + 3109125704937356151/1313140516564330*e^10 - 20514423126245868383/656570258282165*e^9 + 30965149462729532513/1313140516564330*e^8 + 6869087512855343892/131314051656433*e^7 - 54362018662902361768/656570258282165*e^6 - 1060791012977937986/656570258282165*e^5 + 44665722694496661618/656570258282165*e^4 - 26481205213911941067/656570258282165*e^3 + 4017048870563754871/1313140516564330*e^2 + 1621755458381741971/656570258282165*e - 226042931241807104/656570258282165, -233771969127471/1050512413251464*e^17 + 1546907367557349/525256206625732*e^16 - 919120506538405/131314051656433*e^15 - 14700186810372073/262628103312866*e^14 + 292034121429863383/1050512413251464*e^13 + 37190364033437407/262628103312866*e^12 - 2948916716493728769/1050512413251464*e^11 + 1553254968087171135/525256206625732*e^10 + 11194606146590262121/1050512413251464*e^9 - 11557187850666234289/525256206625732*e^8 - 2579739445790993467/262628103312866*e^7 + 6834136441501408552/131314051656433*e^6 - 5976826601101231131/262628103312866*e^5 - 9269862301802794375/262628103312866*e^4 + 34850283166598349357/1050512413251464*e^3 - 1263863797328377921/262628103312866*e^2 - 556161787926638815/262628103312866*e + 44365180428286840/131314051656433, -631896072771908/656570258282165*e^17 + 8420616485863209/1313140516564330*e^16 + 1638296761898524/131314051656433*e^15 - 108475630120307564/656570258282165*e^14 + 74322001934048704/656570258282165*e^13 + 1949807058548113969/1313140516564330*e^12 - 1690734940855134127/656570258282165*e^11 - 6861890765961677051/1313140516564330*e^10 + 9555039892993988388/656570258282165*e^9 + 4894182319526629977/1313140516564330*e^8 - 4240721438207546264/131314051656433*e^7 + 9169570263270872583/656570258282165*e^6 + 15310337990959460216/656570258282165*e^5 - 12322846873807990393/656570258282165*e^4 + 124949604904103352/656570258282165*e^3 + 2204103088824390949/1313140516564330*e^2 + 70284776406350909/656570258282165*e - 26163929483820626/656570258282165, 6083721812276493/5252562066257320*e^17 - 23806399287435911/2626281033128660*e^16 - 863305790867102/131314051656433*e^15 + 286384238407561561/1313140516564330*e^14 - 1854187110177114949/5252562066257320*e^13 - 2204920945818423273/1313140516564330*e^12 + 26449306758999288027/5252562066257320*e^11 + 8457113684100729759/2626281033128660*e^10 - 127214902354537513123/5252562066257320*e^9 + 34705378110979026987/2626281033128660*e^8 + 11301443190247223099/262628103312866*e^7 - 36446805113427055936/656570258282165*e^6 - 10923517968009961109/1313140516564330*e^5 + 63030805378309563607/1313140516564330*e^4 - 134683747616312011327/5252562066257320*e^3 + 1809012226678400847/1313140516564330*e^2 + 2334388923696499379/1313140516564330*e - 128591039823747198/656570258282165, -3774458797718457/2626281033128660*e^17 + 7192064424984657/656570258282165*e^16 + 1248694165440193/131314051656433*e^15 - 173705003365433829/656570258282165*e^14 + 1057540366733524521/2626281033128660*e^13 + 2701004805153010679/1313140516564330*e^12 - 15549670463494866563/2626281033128660*e^11 - 2737048861822674583/656570258282165*e^10 + 75657673800170892567/2626281033128660*e^9 - 9673759742780706914/656570258282165*e^8 - 6826903047663707562/131314051656433*e^7 + 42470207450462401678/656570258282165*e^6 + 7956684140393704176/656570258282165*e^5 - 37149454594802599533/656570258282165*e^4 + 74749979787930406643/2626281033128660*e^3 - 1851873116811186231/1313140516564330*e^2 - 1127067506354462476/656570258282165*e + 166951208794403674/656570258282165, -9035045740664221/5252562066257320*e^17 + 17158393903380821/1313140516564330*e^16 + 1562293113492687/131314051656433*e^15 - 416094245918130667/1313140516564330*e^14 + 2463613713799204053/5252562066257320*e^13 + 6533684648670948547/2626281033128660*e^12 - 36648593382661704479/5252562066257320*e^11 - 6964712544935164769/1313140516564330*e^10 + 179436197132534212451/5252562066257320*e^9 - 10616545994956930941/656570258282165*e^8 - 16381918981158667077/262628103312866*e^7 + 49044121186256004487/656570258282165*e^6 + 21651790577674316633/1313140516564330*e^5 - 87423405720138041739/1313140516564330*e^4 + 168533505982238959119/5252562066257320*e^3 - 2266654266207169803/2626281033128660*e^2 - 1366326404876961409/656570258282165*e + 165499848696175806/656570258282165, 887103855789377/5252562066257320*e^17 - 3876387204989469/2626281033128660*e^16 + 3735631957267/131314051656433*e^15 + 44451395392078929/1313140516564330*e^14 - 401752550179374361/5252562066257320*e^13 - 150071739747587151/656570258282165*e^12 + 4997584261866791503/5252562066257320*e^11 + 219488329221179341/2626281033128660*e^10 - 22177740917382289367/5252562066257320*e^9 + 10697144549502228293/2626281033128660*e^8 + 1662100228727517365/262628103312866*e^7 - 8283351656688171829/656570258282165*e^6 + 2677400886906508949/1313140516564330*e^5 + 12657508225753045703/1313140516564330*e^4 - 39650388448341806923/5252562066257320*e^3 + 619021505104576269/656570258282165*e^2 + 843408734562915301/1313140516564330*e - 50190476809378782/656570258282165, 12707014616985551/10505124132514640*e^17 - 44965818885807847/5252562066257320*e^16 - 1608592944319802/131314051656433*e^15 + 561457607365191037/2626281033128660*e^14 - 2418501178923124223/10505124132514640*e^13 - 2361122087840542133/1313140516564330*e^12 + 42223800848481860929/10505124132514640*e^11 + 27027287111315685443/5252562066257320*e^10 - 220372626567710997721/10505124132514640*e^9 + 16674008406373043439/5252562066257320*e^8 + 22132307436478770667/525256206625732*e^7 - 22701798039944531686/656570258282165*e^6 - 55337190943282774683/2626281033128660*e^5 + 92059293894581490739/2626281033128660*e^4 - 111440330324519669309/10505124132514640*e^3 - 694922437939478854/656570258282165*e^2 + 1532303165148577723/2626281033128660*e - 35688507577335673/656570258282165, 1767211602523231/5252562066257320*e^17 - 3072678346957301/1313140516564330*e^16 - 559120562954966/131314051656433*e^15 + 80450599665960057/1313140516564330*e^14 - 228136186352791463/5252562066257320*e^13 - 1492643859614581197/2626281033128660*e^12 + 5028350869827658389/5252562066257320*e^11 + 2849770605616351509/1313140516564330*e^10 - 28936842993601647441/5252562066257320*e^9 - 1660761264852616519/656570258282165*e^8 + 3389438670187741755/262628103312866*e^7 - 1867183752229684902/656570258282165*e^6 - 14685805884478569653/1313140516564330*e^5 + 7284389055441164619/1313140516564330*e^4 + 11260916465424754771/5252562066257320*e^3 - 2357722184970754607/2626281033128660*e^2 - 166983479492890321/656570258282165*e + 13751233445164284/656570258282165, 32014405902138023/10505124132514640*e^17 - 118939750107031861/5252562066257320*e^16 - 3174173925818657/131314051656433*e^15 + 1454805167230813161/2626281033128660*e^14 - 7894174034487352599/10505124132514640*e^13 - 11666707134092374443/2626281033128660*e^12 + 122386216837071528177/10505124132514640*e^11 + 55117352282780990689/5252562066257320*e^10 - 609797790735723094113/10505124132514640*e^9 + 116791483405232308817/5252562066257320*e^8 + 57191307117899569155/525256206625732*e^7 - 77625829021172171778/656570258282165*e^6 - 94935169135435560259/2626281033128660*e^5 + 285358761541137531067/2626281033128660*e^4 - 503942161708438608997/10505124132514640*e^3 + 648558381722328497/2626281033128660*e^2 + 8489318498218642149/2626281033128660*e - 237428016546263829/656570258282165, -3410172316222441/2101024826502928*e^17 + 13532487458859973/1050512413251464*e^16 + 894974879417979/131314051656433*e^15 - 159131198798895927/525256206625732*e^14 + 1162856383102239657/2101024826502928*e^13 + 288511130706674306/131314051656433*e^12 - 15819863365745920151/2101024826502928*e^11 - 2837391206674410809/1050512413251464*e^10 + 73681274649693032431/2101024826502928*e^9 - 28457889593213906517/1050512413251464*e^8 - 30448953495969295797/525256206625732*e^7 + 12461909443124171200/131314051656433*e^6 - 566467654174875695/525256206625732*e^5 - 40758660464914579177/525256206625732*e^4 + 101291041023213175979/2101024826502928*e^3 - 1040250760320408833/262628103312866*e^2 - 1681782607057106601/525256206625732*e + 59266959953970779/131314051656433, -11348605400597581/10505124132514640*e^17 + 44390581908387837/5252562066257320*e^16 + 872780617784736/131314051656433*e^15 - 540417558882816887/2626281033128660*e^14 + 3345236255795065053/10505124132514640*e^13 + 2142050517940278853/1313140516564330*e^12 - 48791451411970580099/10505124132514640*e^11 - 19152575488138441233/5252562066257320*e^10 + 239985927518895453451/10505124132514640*e^9 - 50084441895532121829/5252562066257320*e^8 - 22534835381318965273/525256206625732*e^7 + 30665408113572786871/656570258282165*e^6 + 39834169050247668473/2626281033128660*e^5 - 111921334314569252549/2626281033128660*e^4 + 186123079384801404279/10505124132514640*e^3 + 191543682212431429/656570258282165*e^2 - 3063022928768941713/2626281033128660*e + 67998144622713003/656570258282165, -379592673700395/1050512413251464*e^17 + 1648660538567919/525256206625732*e^16 - 39009394321384/131314051656433*e^15 - 18549221242210301/262628103312866*e^14 + 177522958594172491/1050512413251464*e^13 + 58940636045527030/131314051656433*e^12 - 2174406146191950485/1050512413251464*e^11 + 103649919841467981/525256206625732*e^10 + 9476058167740472381/1050512413251464*e^9 - 5445130030534382735/525256206625732*e^8 - 3351914602970031459/262628103312866*e^7 + 3973832064762545414/131314051656433*e^6 - 1733088108130787717/262628103312866*e^5 - 5985174678468699285/262628103312866*e^4 + 18590076405746308273/1050512413251464*e^3 - 284134183182475897/131314051656433*e^2 - 298549362221833699/262628103312866*e + 19732335054101986/131314051656433, -1852598339654249/2101024826502928*e^17 + 6937840830774565/1050512413251464*e^16 + 764632967501913/131314051656433*e^15 - 82493189945664503/525256206625732*e^14 + 512337741063554697/2101024826502928*e^13 + 154179430639785932/131314051656433*e^12 - 7436271929314746439/2101024826502928*e^11 - 1963235056139962185/1050512413251464*e^10 + 35127318373864005247/2101024826502928*e^9 - 12239396262536566197/1050512413251464*e^8 - 14453246604871228417/525256206625732*e^7 + 5765658608432160238/131314051656433*e^6 - 826925042855322927/525256206625732*e^5 - 18845074444263207217/525256206625732*e^4 + 50722081743922532251/2101024826502928*e^3 - 709344420639347113/262628103312866*e^2 - 794695141288034217/525256206625732*e + 28250904528240219/131314051656433, -11911943918068907/10505124132514640*e^17 + 48230763201189829/5252562066257320*e^16 + 539780363961603/131314051656433*e^15 - 568329157425412989/2626281033128660*e^14 + 4253870751987082891/10505124132514640*e^13 + 4144115805578266017/2626281033128660*e^12 - 57278731622459976253/10505124132514640*e^11 - 10704643921467311001/5252562066257320*e^10 + 267348926288646675437/10505124132514640*e^9 - 98997231658315929033/5252562066257320*e^8 - 22475088214752432983/525256206625732*e^7 + 43948404007838895287/656570258282165*e^6 + 4597229564490695991/2626281033128660*e^5 - 145427004581579210923/2626281033128660*e^4 + 343505151646705070753/10505124132514640*e^3 - 5725872429438859663/2626281033128660*e^2 - 5831583326931830401/2626281033128660*e + 186125265304043501/656570258282165, 39323015730116683/10505124132514640*e^17 - 146396691433507641/5252562066257320*e^16 - 3903630569372839/131314051656433*e^15 + 1793189026662010981/2626281033128660*e^14 - 9691056023306275419/10505124132514640*e^13 - 14430157130611533163/2626281033128660*e^12 + 150364923589031470317/10505124132514640*e^11 + 69277423421016415789/5252562066257320*e^10 - 749981776437318063773/10505124132514640*e^9 + 136993442860131228997/5252562066257320*e^8 + 70526208686225619615/525256206625732*e^7 - 93688099638154357183/656570258282165*e^6 - 119786233862791673159/2626281033128660*e^5 + 344610621251450947087/2626281033128660*e^4 - 608369402614456626177/10505124132514640*e^3 + 2281142347434348997/2626281033128660*e^2 + 9871381581512524249/2626281033128660*e - 290677351083198239/656570258282165, 2739204049520729/2626281033128660*e^17 - 4668634278265134/656570258282165*e^16 - 1717716616294591/131314051656433*e^15 + 120755980103166013/656570258282165*e^14 - 356734523295043297/2626281033128660*e^13 - 2187489885512576143/1313140516564330*e^12 + 7728482725740635651/2626281033128660*e^11 + 3929501048557271431/656570258282165*e^10 - 43689204827869290599/2626281033128660*e^9 - 3258898606719296587/656570258282165*e^8 + 4931416829870625017/131314051656433*e^7 - 9164592995569011616/656570258282165*e^6 - 19066274717324502332/656570258282165*e^5 + 13205680709877420766/656570258282165*e^4 + 5382007718232190669/2626281033128660*e^3 - 2964442901051163413/1313140516564330*e^2 - 196048465865641708/656570258282165*e + 31117886681682632/656570258282165, 6499602778487027/5252562066257320*e^17 - 5691609674585741/656570258282165*e^16 - 1770606719196080/131314051656433*e^15 + 287753066331267989/1313140516564330*e^14 - 1115839864859452971/5252562066257320*e^13 - 4969305498109193119/2626281033128660*e^12 + 20647902548215067153/5252562066257320*e^11 + 3879310436127643584/656570258282165*e^10 - 110726657491227877637/5252562066257320*e^9 + 271760614606608229/1313140516564330*e^8 + 11641746540929902799/262628103312866*e^7 - 19433386529346557904/656570258282165*e^6 - 35661416668112986531/1313140516564330*e^5 + 43642676827320534423/1313140516564330*e^4 - 29951733675474862873/5252562066257320*e^3 - 7004314848506558109/2626281033128660*e^2 + 293410420763999698/656570258282165*e + 22663689457776458/656570258282165, -16961138792280017/10505124132514640*e^17 + 62273728035432569/5252562066257320*e^16 + 1918574457867436/131314051656433*e^15 - 776167109561268979/2626281033128660*e^14 + 3726911673717833441/10505124132514640*e^13 + 3249974937536897191/1313140516564330*e^12 - 61351931766001737823/10505124132514640*e^11 - 36589075534592883341/5252562066257320*e^10 + 316646380938437664167/10505124132514640*e^9 - 27195494425245999673/5252562066257320*e^8 - 31784842062770394109/525256206625732*e^7 + 32637021504102726222/656570258282165*e^6 + 81217005786717386301/2626281033128660*e^5 - 132367680941025534093/2626281033128660*e^4 + 152055148859042063683/10505124132514640*e^3 + 1395520311392021593/656570258282165*e^2 - 2500823284076897741/2626281033128660*e + 2849735214317131/656570258282165, -4579868224389279/5252562066257320*e^17 + 15962218548970763/2626281033128660*e^16 + 1286094912797231/131314051656433*e^15 - 202347866803390393/1313140516564330*e^14 + 741226362546956647/5252562066257320*e^13 + 879745007228977232/656570258282165*e^12 - 14044657872844160441/5252562066257320*e^11 - 11269501496959918147/2626281033128660*e^10 + 75264201703388984009/5252562066257320*e^9 + 1736027731882892629/2626281033128660*e^8 - 7812267057607147789/262628103312866*e^7 + 12153706483232271063/656570258282165*e^6 + 22376157779917520627/1313140516564330*e^5 - 26630846487351934231/1313140516564330*e^4 + 27244746341571446261/5252562066257320*e^3 + 206833505653638262/656570258282165*e^2 - 473909788036301687/1313140516564330*e + 30875307353119894/656570258282165, -6626025347303937/10505124132514640*e^17 + 26719849487812019/5252562066257320*e^16 + 191507297195781/131314051656433*e^15 - 304450857641408859/2626281033128660*e^14 + 2559168837587737281/10505124132514640*e^13 + 2014644290888185797/2626281033128660*e^12 - 33020191453002543463/10505124132514640*e^11 - 385235891654230311/5252562066257320*e^10 + 147217253620921994407/10505124132514640*e^9 - 79158005531232766903/5252562066257320*e^8 - 10814468349097140517/525256206625732*e^7 + 30063203382263926652/656570258282165*e^6 - 21833879362808800939/2626281033128660*e^5 - 92624156263669749173/2626281033128660*e^4 + 273222671162558520483/10505124132514640*e^3 - 7379660492317999103/2626281033128660*e^2 - 4539124504366502391/2626281033128660*e + 149643218386635111/656570258282165, -1408986859530179/1313140516564330*e^17 + 5521879030884033/656570258282165*e^16 + 804286683131232/131314051656433*e^15 - 133222038094406201/656570258282165*e^14 + 429695191447388147/1313140516564330*e^13 + 1032518869792142958/656570258282165*e^12 - 6154524066579673681/1313140516564330*e^11 - 2051281289581263582/656570258282165*e^10 + 29823993188055349729/1313140516564330*e^9 - 7707560040354938161/656570258282165*e^8 - 5414704194142867818/131314051656433*e^7 + 33418145805287572337/656570258282165*e^6 + 7002624011084042814/656570258282165*e^5 - 29681739888335334982/656570258282165*e^4 + 28187435102572794981/1313140516564330*e^3 - 44757970454217782/656570258282165*e^2 - 966909012082782934/656570258282165*e + 86109956509600606/656570258282165, -4889701828180237/5252562066257320*e^17 + 16040267707353729/2626281033128660*e^16 + 1629358253808602/131314051656433*e^15 - 206736527823015299/1313140516564330*e^14 + 527371710539749181/5252562066257320*e^13 + 929676644174615786/656570258282165*e^12 - 12621430426514058003/5252562066257320*e^11 - 13096139879273023701/2626281033128660*e^10 + 71984036141720111627/5252562066257320*e^9 + 9254183745755859127/2626281033128660*e^8 - 8033019194490295429/262628103312866*e^7 + 8971934851937164654/656570258282165*e^6 + 29252832877915144861/1313140516564330*e^5 - 24752370418666930813/1313140516564330*e^4 + 839083298711569063/5252562066257320*e^3 + 1539328849441527391/656570258282165*e^2 - 151747562364055481/1313140516564330*e - 41989951340884128/656570258282165, -21340354312967307/10505124132514640*e^17 + 80999648455347839/5252562066257320*e^16 + 1901412681073717/131314051656433*e^15 - 986622760832829369/2626281033128660*e^14 + 5713032776835050491/10505124132514640*e^13 + 1958514050729889303/656570258282165*e^12 - 85801171298103440453/10505124132514640*e^11 - 35359839718778632171/5252562066257320*e^10 + 422993231203260274077/10505124132514640*e^9 - 88944995097614857703/5252562066257320*e^8 - 39205360196672433455/525256206625732*e^7 + 55023781081822440282/656570258282165*e^6 + 60026527214465507911/2626281033128660*e^5 - 198615123545574396203/2626281033128660*e^4 + 367317756717714760353/10505124132514640*e^3 - 1040719646915860899/1313140516564330*e^2 - 6133930846915756131/2626281033128660*e + 169528849913280291/656570258282165, -12648950020900229/10505124132514640*e^17 + 48203344553901113/5252562066257320*e^16 + 1119232809591278/131314051656433*e^15 - 588149953583752843/2626281033128660*e^14 + 3408041407788670357/10505124132514640*e^13 + 1172312732336929616/656570258282165*e^12 - 51156862969029628251/10505124132514640*e^11 - 21582738287358906037/5252562066257320*e^10 + 252778336885389662579/10505124132514640*e^9 - 50485685539603074721/5252562066257320*e^8 - 23605222792911204337/525256206625732*e^7 + 32099021944349129084/656570258282165*e^6 + 38858276477860098257/2626281033128660*e^5 - 115921671451972948361/2626281033128660*e^4 + 207585983567623523231/10505124132514640*e^3 - 917570770376125203/1313140516564330*e^2 - 3043511843208476597/2626281033128660*e + 102453641289297267/656570258282165, -10538378348628269/5252562066257320*e^17 + 10137060218266437/656570258282165*e^16 + 1714944731512377/131314051656433*e^15 - 491804839301566533/1313140516564330*e^14 + 2993173649991936037/5252562066257320*e^13 + 7729162683786766893/2626281033128660*e^12 - 43989299356073188871/5252562066257320*e^11 - 4140554887907514878/656570258282165*e^10 + 215299204207342130259/5252562066257320*e^9 - 24803125297676117793/1313140516564330*e^8 - 19804747081795826041/262628103312866*e^7 + 57564074017614501648/656570258282165*e^6 + 28837661445849469037/1313140516564330*e^5 - 102417904112069031841/1313140516564330*e^4 + 190757924819417232111/5252562066257320*e^3 - 3167576466797108957/2626281033128660*e^2 - 1418763004002964456/656570258282165*e + 191718967334893374/656570258282165, -19712874329295213/10505124132514640*e^17 + 76727564622518851/5252562066257320*e^16 + 1344912566688156/131314051656433*e^15 - 915341597130188471/2626281033128660*e^14 + 6099591402783883549/10505124132514640*e^13 + 6897553896158724283/2626281033128660*e^12 - 86166601893275357227/10505124132514640*e^11 - 23084516581978072999/5252562066257320*e^10 + 410348327801799540843/10505124132514640*e^9 - 130593728389136108767/5252562066257320*e^8 - 35526934100975213953/525256206625732*e^7 + 63374764524855727673/656570258282165*e^6 + 20705774202633940809/2626281033128660*e^5 - 215151890960207410457/2626281033128660*e^4 + 484154423954471432007/10505124132514640*e^3 - 7083495512228260197/2626281033128660*e^2 - 8235096039720392059/2626281033128660*e + 260594002343577199/656570258282165, -1131487392149957/5252562066257320*e^17 + 3884083198903059/2626281033128660*e^16 + 262731881863438/131314051656433*e^15 - 46826935184199199/1313140516564330*e^14 + 236977548129214741/5252562066257320*e^13 + 362139486359294567/1313140516564330*e^12 - 3900912500256643403/5252562066257320*e^11 - 1409428202017992551/2626281033128660*e^10 + 19605226382714231347/5252562066257320*e^9 - 5704745215128028263/2626281033128660*e^8 - 1820105442180326631/262628103312866*e^7 + 6175146401697776044/656570258282165*e^6 + 2606836897063283231/1313140516564330*e^5 - 11605082193238138393/1313140516564330*e^4 + 18012458115242470983/5252562066257320*e^3 + 783242730476002267/1313140516564330*e^2 - 309165089483299301/1313140516564330*e - 9705200564954628/656570258282165, -1265202303350109/5252562066257320*e^17 + 3930055247813613/2626281033128660*e^16 + 483834678248426/131314051656433*e^15 - 51251850754760173/1313140516564330*e^14 + 66922674580196877/5252562066257320*e^13 + 236168913439698187/656570258282165*e^12 - 2542640682599001091/5252562066257320*e^11 - 3558498571551675777/2626281033128660*e^10 + 15133038443547830619/5252562066257320*e^9 + 3959609915726120739/2626281033128660*e^8 - 1676247934997084481/262628103312866*e^7 + 1224294870005549423/656570258282165*e^6 + 5573652558901170037/1313140516564330*e^5 - 4141719317536882591/1313140516564330*e^4 + 2899577155878784791/5252562066257320*e^3 + 70403865490008892/656570258282165*e^2 - 118015026641190837/1313140516564330*e + 7853917276966564/656570258282165, -19247426979027449/10505124132514640*e^17 + 73854067998655303/5252562066257320*e^16 + 1593187771145441/131314051656433*e^15 - 896446317348658943/2626281033128660*e^14 + 5412538405136038297/10505124132514640*e^13 + 7056317455858140879/2626281033128660*e^12 - 79882749604055992431/10505124132514640*e^11 - 30476187944445763907/5252562066257320*e^10 + 391849760824462307439/10505124132514640*e^9 - 89288237776658170051/5252562066257320*e^8 - 36184148408336640165/525256206625732*e^7 + 52344050639662411639/656570258282165*e^6 + 54314265143023476457/2626281033128660*e^5 - 188103640548937202741/2626281033128660*e^4 + 343607523671632678251/10505124132514640*e^3 - 985799311782826461/2626281033128660*e^2 - 5822104650829389927/2626281033128660*e + 179853217166590467/656570258282165, -6931191540185573/5252562066257320*e^17 + 13210829659804563/1313140516564330*e^16 + 1179392063189611/131314051656433*e^15 - 320647934653938131/1313140516564330*e^14 + 1913886566680121629/5252562066257320*e^13 + 5045995945647377971/2626281033128660*e^12 - 28407615418495608887/5252562066257320*e^11 - 5439968494404311937/1313140516564330*e^10 + 139437582781123980443/5252562066257320*e^9 - 8000951449727125348/656570258282165*e^8 - 12852125613180826933/262628103312866*e^7 + 37436028044858697411/656570258282165*e^6 + 18854130330676841469/1313140516564330*e^5 - 67053274220946327667/1313140516564330*e^4 + 123793292706804628407/5252562066257320*e^3 - 1159515636371155599/2626281033128660*e^2 - 992440484888889437/656570258282165*e + 114352932210965098/656570258282165, -197343342735199/656570258282165*e^17 + 2797602438441317/1313140516564330*e^16 + 422549316274540/131314051656433*e^15 - 35325742823471532/656570258282165*e^14 + 34472557047212362/656570258282165*e^13 + 609547828857537307/1313140516564330*e^12 - 625334188765531676/656570258282165*e^11 - 1909266649149426933/1313140516564330*e^10 + 3288591605699093434/656570258282165*e^9 + 59475644760344741/1313140516564330*e^8 - 1322556055883390255/131314051656433*e^7 + 4392108728974369024/656570258282165*e^6 + 3246435624351228188/656570258282165*e^5 - 4491059881912528799/656570258282165*e^4 + 1796561669561681246/656570258282165*e^3 - 437871083753259543/1313140516564330*e^2 - 137307423239472833/656570258282165*e + 21853780849050572/656570258282165, -1397617850112191/10505124132514640*e^17 + 8073778059017747/5252562066257320*e^16 - 268615424356243/131314051656433*e^15 - 88408907701487897/2626281033128660*e^14 + 1197079816130550623/10505124132514640*e^13 + 127740864836056559/656570258282165*e^12 - 13251089587245056689/10505124132514640*e^11 + 1830851428114768697/5252562066257320*e^10 + 56889085059158620601/10505124132514640*e^9 - 32600198228239570939/5252562066257320*e^8 - 4306413757398029115/525256206625732*e^7 + 11217523449420940841/656570258282165*e^6 - 4389412559217867437/2626281033128660*e^5 - 33550247625478055319/2626281033128660*e^4 + 86541638226116320989/10505124132514640*e^3 - 1266741747024648027/1313140516564330*e^2 - 1011476991941271023/2626281033128660*e + 59930661767067183/656570258282165, 4730138469718297/5252562066257320*e^17 - 18235816139805829/2626281033128660*e^16 - 761722462643959/131314051656433*e^15 + 221278623473954919/1313140516564330*e^14 - 1354821002405860961/5252562066257320*e^13 - 869978789058754816/656570258282165*e^12 + 19903392048298978783/5252562066257320*e^11 + 7461240756917585641/2626281033128660*e^10 - 97756724600038841007/5252562066257320*e^9 + 22477439092195681693/2626281033128660*e^8 + 9096557382431210503/262628103312866*e^7 - 26227088500309779609/656570258282165*e^6 - 14825209832345327011/1313140516564330*e^5 + 47725170610425195003/1313140516564330*e^4 - 80509778780354603523/5252562066257320*e^3 - 283985106126049771/656570258282165*e^2 + 1251239585923408801/1313140516564330*e - 58353177246730562/656570258282165, 2775217734471291/1313140516564330*e^17 - 42589148790668743/2626281033128660*e^16 - 1731478060774733/131314051656433*e^15 + 256189769957723704/656570258282165*e^14 - 804594700307218963/1313140516564330*e^13 - 7890747585760495933/2626281033128660*e^12 + 5838132592491117247/656570258282165*e^11 + 15126179376307210747/2626281033128660*e^10 - 56483718990990081421/1313140516564330*e^9 + 62290176058606645801/2626281033128660*e^8 + 10097920357879447445/131314051656433*e^7 - 65519319255091939183/656570258282165*e^6 - 10483547887193435596/656570258282165*e^5 + 57117650232194808658/656570258282165*e^4 - 58397747452807123589/1313140516564330*e^3 + 4268467029330857817/2626281033128660*e^2 + 3936160790175563407/1313140516564330*e - 231381299531412134/656570258282165, 12309869407791583/10505124132514640*e^17 - 47593699685195501/5252562066257320*e^16 - 968853465888707/131314051656433*e^15 + 576107296249963141/2626281033128660*e^14 - 3560197435861982319/10505124132514640*e^13 - 4505129351211824383/2626281033128660*e^12 + 51888170201850235817/10505124132514640*e^11 + 18838710667105742449/5252562066257320*e^10 - 252551017855475395753/10505124132514640*e^9 + 60767479624009421017/5252562066257320*e^8 + 22949305754025148447/525256206625732*e^7 - 34317544529096977698/656570258282165*e^6 - 29320012132091903299/2626281033128660*e^5 + 120626782648971945247/2626281033128660*e^4 - 240791825977568147757/10505124132514640*e^3 + 3089538558636645957/2626281033128660*e^2 + 3850324684323404209/2626281033128660*e - 127747195211865079/656570258282165, -21155055636725747/10505124132514640*e^17 + 77986647446459329/5252562066257320*e^16 + 2132667813760109/131314051656433*e^15 - 951820768034486529/2626281033128660*e^14 + 5128695184027734611/10505124132514640*e^13 + 7594683524573047847/2626281033128660*e^12 - 79801186905948795013/10505124132514640*e^11 - 35085171021460071741/5252562066257320*e^10 + 396436961427686968037/10505124132514640*e^9 - 80943476251802507093/5252562066257320*e^8 - 36755375004475598687/525256206625732*e^7 + 51769798562310665837/656570258282165*e^6 + 54682994617342254031/2626281033128660*e^5 - 187339402963156548543/2626281033128660*e^4 + 350797568027568241593/10505124132514640*e^3 - 2807650424069700453/2626281033128660*e^2 - 5238947504999835301/2626281033128660*e + 169798248981059181/656570258282165, 846437395830388/656570258282165*e^17 - 11604641407058829/1313140516564330*e^16 - 1942607653057812/131314051656433*e^15 + 146596058065306509/656570258282165*e^14 - 131167681555298504/656570258282165*e^13 - 2530071898480606199/1313140516564330*e^12 + 2533550834185876157/656570258282165*e^11 + 7902776460869440041/1313140516564330*e^10 - 13598007053827092498/656570258282165*e^9 + 120593325240877263/1313140516564330*e^8 + 5623030067819314232/131314051656433*e^7 - 19236231241655724363/656570258282165*e^6 - 15703505119252209456/656570258282165*e^5 + 20861140318103815478/656570258282165*e^4 - 5398243647175787502/656570258282165*e^3 - 1455776703229412379/1313140516564330*e^2 + 403039163712759841/656570258282165*e - 38009109921454614/656570258282165, 5048460434579823/1313140516564330*e^17 - 19361203046751636/656570258282165*e^16 - 3263216630115154/131314051656433*e^15 + 467974441375476092/656570258282165*e^14 - 1436273253886095179/1313140516564330*e^13 - 3644724352912033306/656570258282165*e^12 + 21028690069677632897/1313140516564330*e^11 + 7451224653185034274/656570258282165*e^10 - 102336093771794154483/1313140516564330*e^9 + 25730767480164039432/656570258282165*e^8 + 18533155972201985566/131314051656433*e^7 - 113955544087253549899/656570258282165*e^6 - 22636946564210547078/656570258282165*e^5 + 100282780868274831869/656570258282165*e^4 - 99385338835034561987/1313140516564330*e^3 + 1916661240812581024/656570258282165*e^2 + 3164258522265260618/656570258282165*e - 402316988951033392/656570258282165, -790831690984287/5252562066257320*e^17 + 851404993033031/656570258282165*e^16 + 2621507020823/131314051656433*e^15 - 38814614081111169/1313140516564330*e^14 + 351140733454808631/5252562066257320*e^13 + 513735850719262839/2626281033128660*e^12 - 4375523272304205013/5252562066257320*e^11 - 11498129742744789/656570258282165*e^10 + 19325875925853263057/5252562066257320*e^9 - 5069725459104308099/1313140516564330*e^8 - 1417989855321981411/262628103312866*e^7 + 7727829360461115429/656570258282165*e^6 - 2799530779110560619/1313140516564330*e^5 - 12077661814993417813/1313140516564330*e^4 + 35860576048231184173/5252562066257320*e^3 - 1478488486809898651/2626281033128660*e^2 - 377891698255961943/656570258282165*e + 36790656802525552/656570258282165, -9606780140032283/5252562066257320*e^17 + 36738123632073561/2626281033128660*e^16 + 1531713822116158/131314051656433*e^15 - 441867665186423941/1313140516564330*e^14 + 2743545209600112619/5252562066257320*e^13 + 3400907617518324243/1313140516564330*e^12 - 39908864292360412077/5252562066257320*e^11 - 13028399660077134309/2626281033128660*e^10 + 192404597441481778333/5252562066257320*e^9 - 53566040300626868857/2626281033128660*e^8 - 16972614152647794951/262628103312866*e^7 + 56140693557867372801/656570258282165*e^6 + 14037341611266608259/1313140516564330*e^5 - 96598276201464114237/1313140516564330*e^4 + 212820292470516707377/5252562066257320*e^3 - 3403959611889054807/1313140516564330*e^2 - 3561243336581957989/1313140516564330*e + 246295327532594558/656570258282165, 829069477053207/1050512413251464*e^17 - 3154263541536463/525256206625732*e^16 - 643958339646618/131314051656433*e^15 + 37682108179567665/262628103312866*e^14 - 239822905410665903/1050512413251464*e^13 - 142477876579456823/131314051656433*e^12 + 3463328677410055657/1050512413251464*e^11 + 975133546791552167/525256206625732*e^10 - 16592261892308931889/1050512413251464*e^9 + 5270534906194460615/525256206625732*e^8 + 7204507612353874285/262628103312866*e^7 - 5186982586186854463/131314051656433*e^6 - 850071061192638533/262628103312866*e^5 + 8947328760871066001/262628103312866*e^4 - 19697827341701440445/1050512413251464*e^3 + 66186783072544785/131314051656433*e^2 + 358636331213467491/262628103312866*e - 15820231609164284/131314051656433, -18719387720735453/5252562066257320*e^17 + 70839203050371521/2626281033128660*e^16 + 3297893823579525/131314051656433*e^15 - 859695356706935211/1313140516564330*e^14 + 5041246184921840549/5252562066257320*e^13 + 3382580476312439964/656570258282165*e^12 - 75358876160748007147/5252562066257320*e^11 - 29204860834247244409/2626281033128660*e^10 + 369673443106205714843/5252562066257320*e^9 - 85469376910450887737/2626281033128660*e^8 - 33835471797791601683/262628103312866*e^7 + 99976417684637803551/656570258282165*e^6 + 45684788340729200889/1313140516564330*e^5 - 178076689278826597297/1313140516564330*e^4 + 344076401316515696607/5252562066257320*e^3 - 1422801751181118916/656570258282165*e^2 - 5550751266489661249/1313140516564330*e + 339865685098217768/656570258282165, -4212226348234727/5252562066257320*e^17 + 12100833970516469/2626281033128660*e^16 + 1996942506476586/131314051656433*e^15 - 168219437963386429/1313140516564330*e^14 - 149573665330760049/5252562066257320*e^13 + 1735710226357845747/1313140516564330*e^12 - 5584279703398825753/5252562066257320*e^11 - 16492875527387211761/2626281033128660*e^10 + 44739966417183435017/5252562066257320*e^9 + 36342738881579688767/2626281033128660*e^8 - 6696658562054935603/262628103312866*e^7 - 7453132127398604676/656570258282165*e^6 + 42825927033147290871/1313140516564330*e^5 - 1570966769546383183/1313140516564330*e^4 - 82086565650431058587/5252562066257320*e^3 + 5315853518052644847/1313140516564330*e^2 + 1492244617149591649/1313140516564330*e - 144887560549154028/656570258282165, 18080742032366937/10505124132514640*e^17 - 72104457373752159/5252562066257320*e^16 - 845757882214777/131314051656433*e^15 + 841480048213637219/2626281033128660*e^14 - 6357573048289308601/10505124132514640*e^13 - 5976582427612874147/2626281033128660*e^12 + 85223490882110758303/10505124132514640*e^11 + 11750350638902882731/5252562066257320*e^10 - 391731429498539400607/10505124132514640*e^9 + 166097034562526402203/5252562066257320*e^8 + 31257829548561372221/525256206625732*e^7 - 69624745828115031757/656570258282165*e^6 + 20159061118462411119/2626281033128660*e^5 + 222221574380111015653/2626281033128660*e^4 - 595687896062799143243/10505124132514640*e^3 + 15213143742121440113/2626281033128660*e^2 + 9412674040591617891/2626281033128660*e - 342310806791492181/656570258282165, -199223873336757/262628103312866*e^17 + 825862692837310/131314051656433*e^16 + 117682216277258/131314051656433*e^15 - 18747078244944971/131314051656433*e^14 + 82909096111389113/262628103312866*e^13 + 122510542409323167/131314051656433*e^12 - 1049358603849446459/262628103312866*e^11 + 8838351197895925/131314051656433*e^10 + 4654207237027372763/262628103312866*e^9 - 2543199104185908372/131314051656433*e^8 - 3418523965904339678/131314051656433*e^7 + 7637813964949278978/131314051656433*e^6 - 1344325013165844592/131314051656433*e^5 - 5883935993057709647/131314051656433*e^4 + 8522556895455214959/262628103312866*e^3 - 442444852576483740/131314051656433*e^2 - 272014316551445102/131314051656433*e + 35502505479575776/131314051656433, -2639548309124437/10505124132514640*e^17 + 10499970861465279/5252562066257320*e^16 + 143609056110611/131314051656433*e^15 - 124426631369108179/2626281033128660*e^14 + 896921874443629141/10505124132514640*e^13 + 919873547114482097/2626281033128660*e^12 - 12349449297533327363/10505124132514640*e^11 - 2635082790933247211/5252562066257320*e^10 + 58678742309613194947/10505124132514640*e^9 - 20604501165107748123/5252562066257320*e^8 - 5145050327262246653/525256206625732*e^7 + 9567610184052621252/656570258282165*e^6 + 4176387189968510841/2626281033128660*e^5 - 33855830927623037253/2626281033128660*e^4 + 65641695161018190703/10505124132514640*e^3 + 1000176804458090417/2626281033128660*e^2 - 1431705781204797371/2626281033128660*e + 21099292878023111/656570258282165, 431177421386827/656570258282165*e^17 - 13101003387464817/2626281033128660*e^16 - 570943183153014/131314051656433*e^15 + 78963621172011241/656570258282165*e^14 - 120744660822365366/656570258282165*e^13 - 2444081964822940507/2626281033128660*e^12 + 3550654692891880581/1313140516564330*e^11 + 4816402409746343553/2626281033128660*e^10 - 8634602913508173457/656570258282165*e^9 + 18459806655378415739/2626281033128660*e^8 + 3112604921877589846/131314051656433*e^7 - 19835590030511541267/656570258282165*e^6 - 3575317467819555589/656570258282165*e^5 + 17417810944838424637/656570258282165*e^4 - 8549336527270256333/656570258282165*e^3 + 1057388225020425563/2626281033128660*e^2 + 973656614504116833/1313140516564330*e - 72682591256055866/656570258282165, -13314970355688399/5252562066257320*e^17 + 12485720546146847/656570258282165*e^16 + 2540385781352260/131314051656433*e^15 - 610531432175900013/1313140516564330*e^14 + 3390850973277677887/5252562066257320*e^13 + 9779074385750488843/2626281033128660*e^12 - 51954407214336211341/5252562066257320*e^11 - 5740000365105221998/656570258282165*e^10 + 258160960257355711049/5252562066257320*e^9 - 24922301254462667843/1313140516564330*e^8 - 24193221030644470095/262628103312866*e^7 + 65571647700849819083/656570258282165*e^6 + 40255582050278624467/1313140516564330*e^5 - 120249650361430972921/1313140516564330*e^4 + 212715682192717715821/5252562066257320*e^3 - 864830296213172107/2626281033128660*e^2 - 1796133968568481216/656570258282165*e + 214920979734618564/656570258282165, 18277236488461027/5252562066257320*e^17 - 17380828120762826/656570258282165*e^16 - 3047045840398658/131314051656433*e^15 + 839251827111716899/1313140516564330*e^14 - 5091822301751358691/5252562066257320*e^13 - 13037071016496514179/2626281033128660*e^12 + 74946564988639615353/5252562066257320*e^11 + 6569616562458167634/656570258282165*e^10 - 364245180549068732957/5252562066257320*e^9 + 47158879091412135999/1313140516564330*e^8 + 32714702804777307395/262628103312866*e^7 - 103008205266375536074/656570258282165*e^6 - 35610638590838471651/1313140516564330*e^5 + 179823714105509446023/1313140516564330*e^4 - 370949591959926322233/5252562066257320*e^3 + 9488121591872208091/2626281033128660*e^2 + 2982590680952806838/656570258282165*e - 383764278900395132/656570258282165, -31426035111511363/10505124132514640*e^17 + 120858633445445011/5252562066257320*e^16 + 2530955736975270/131314051656433*e^15 - 1462460261883314441/2626281033128660*e^14 + 8963005554695746259/10505124132514640*e^13 + 5712946769400815739/1313140516564330*e^12 - 131203597738585465197/10505124132514640*e^11 - 47519539495440257999/5252562066257320*e^10 + 639062621768372959653/10505124132514640*e^9 - 156037463757679631747/5252562066257320*e^8 - 58034473860757718919/525256206625732*e^7 + 87739731814146821013/656570258282165*e^6 + 73354686481300629479/2626281033128660*e^5 - 309448862148238312107/2626281033128660*e^4 + 611919452112997743737/10505124132514640*e^3 - 1571572081452360228/656570258282165*e^2 - 9904005670047284359/2626281033128660*e + 316520440755251869/656570258282165, 19474699580070121/10505124132514640*e^17 - 78143485760149447/5252562066257320*e^16 - 970936467817048/131314051656433*e^15 + 921580549495891607/2626281033128660*e^14 - 6758112361704028953/10505124132514640*e^13 - 6737163753592689311/2626281033128660*e^12 + 91617033893816579119/10505124132514640*e^11 + 17860551832519130963/5252562066257320*e^10 - 427409728347178931711/10505124132514640*e^9 + 157543343108831813219/5252562066257320*e^8 + 35652437851466417469/525256206625732*e^7 - 70182082888107805861/656570258282165*e^6 - 2403657018486237533/2626281033128660*e^5 + 229771612925202664189/2626281033128660*e^4 - 566096004100709561179/10505124132514640*e^3 + 12539709841947953909/2626281033128660*e^2 + 9110121948449868303/2626281033128660*e - 320587142385980313/656570258282165, 277129569165939/656570258282165*e^17 - 8434559570866079/2626281033128660*e^16 - 451180795382001/131314051656433*e^15 + 52918292057709042/656570258282165*e^14 - 68808331842643637/656570258282165*e^13 - 1797193543038677449/2626281033128660*e^12 + 2199432321173955477/1313140516564330*e^11 + 5282864120223874711/2626281033128660*e^10 - 5770048812385399614/656570258282165*e^9 + 2523928735208134433/2626281033128660*e^8 + 2461664779556528509/131314051656433*e^7 - 8609392930631073749/656570258282165*e^6 - 8396419266692658003/656570258282165*e^5 + 9629327531736491024/656570258282165*e^4 - 508335360178093171/656570258282165*e^3 - 5058768517732092019/2626281033128660*e^2 + 31718628607678451/1313140516564330*e + 37124194929182358/656570258282165, 10393374627870871/5252562066257320*e^17 - 9711267073849873/656570258282165*e^16 - 1980364172477990/131314051656433*e^15 + 473882822048680617/1313140516564330*e^14 - 2648126478588205863/5252562066257320*e^13 - 7552061195990797607/2626281033128660*e^12 + 40539303928475917949/5252562066257320*e^11 + 4327275412299594317/656570258282165*e^10 - 201195956367237410641/5252562066257320*e^9 + 20658884548020229607/1313140516564330*e^8 + 18794886663680344179/262628103312866*e^7 - 52359994476227213142/656570258282165*e^6 - 30410962530800697713/1313140516564330*e^5 + 95785831261922862619/1313140516564330*e^4 - 169172631276747821069/5252562066257320*e^3 - 242095246147103657/2626281033128660*e^2 + 1454275898677775904/656570258282165*e - 148381107293094216/656570258282165, 14082121431223911/10505124132514640*e^17 - 52145809780094737/5252562066257320*e^16 - 1548195824086162/131314051656433*e^15 + 649934458565465697/2626281033128660*e^14 - 3194650357667849063/10505124132514640*e^13 - 5442555718226578381/2626281033128660*e^12 + 51990614858551181169/10505124132514640*e^11 + 30626900058130539973/5252562066257320*e^10 - 268065356808221218401/10505124132514640*e^9 + 22863653967857389589/5252562066257320*e^8 + 27003458085728045067/525256206625732*e^7 - 27370285569372821011/656570258282165*e^6 - 70680447028061472143/2626281033128660*e^5 + 111104092533576750499/2626281033128660*e^4 - 121156598669355957669/10505124132514640*e^3 - 4800790418323429121/2626281033128660*e^2 + 1822722209472265593/2626281033128660*e - 63862173919803/656570258282165, -8930055034465259/5252562066257320*e^17 + 34343129862882523/2626281033128660*e^16 + 1465776749443427/131314051656433*e^15 - 416426514470033773/1313140516564330*e^14 + 2518243749162183827/5252562066257320*e^13 + 1635169458193794337/656570258282165*e^12 - 37018310218220035061/5252562066257320*e^11 - 13984389222799652447/2626281033128660*e^10 + 180610770270876312909/5252562066257320*e^9 - 42086328699983263091/2626281033128660*e^8 - 16441555541218589831/262628103312866*e^7 + 48642658738864358278/656570258282165*e^6 + 21275019878378886697/1313140516564330*e^5 - 85827344110476695851/1313140516564330*e^4 + 171331407011791480281/5252562066257320*e^3 - 1116311020446113218/656570258282165*e^2 - 2792402053600813707/1313140516564330*e + 190204237205821504/656570258282165, 9383596561170983/5252562066257320*e^17 - 41153429620753541/2626281033128660*e^16 + 95171535320958/131314051656433*e^15 + 472329991384240871/1313140516564330*e^14 - 4329711089846546919/5252562066257320*e^13 - 3193460909836558343/1313140516564330*e^12 + 54000610296502589137/5252562066257320*e^11 + 2331998404609251869/2626281033128660*e^10 - 242708662620882529473/5252562066257320*e^9 + 114648336179557483717/2626281033128660*e^8 + 19118120864714073411/262628103312866*e^7 - 89591897143825278536/656570258282165*e^6 + 13285043710871216281/1313140516564330*e^5 + 141553540587819728547/1313140516564330*e^4 - 366235634426928821557/5252562066257320*e^3 + 7947133570273244257/1313140516564330*e^2 + 5753423096970272049/1313140516564330*e - 398519131100697598/656570258282165, 1107374946115917/1313140516564330*e^17 - 15897226025308551/2626281033128660*e^16 - 1010454726788406/131314051656433*e^15 + 97766890207797888/656570258282165*e^14 - 238183634444016271/1313140516564330*e^13 - 3177899533914543861/2626281033128660*e^12 + 1952079601102051079/656570258282165*e^11 + 7954915288068296419/2626281033128660*e^10 - 19781657668634583167/1313140516564330*e^9 + 12992625583538161177/2626281033128660*e^8 + 3774187767270727886/131314051656433*e^7 - 19458467629639172836/656570258282165*e^6 - 6971644449567437917/656570258282165*e^5 + 18192496651504763661/656570258282165*e^4 - 14850798906292826833/1313140516564330*e^3 + 207814389947997049/2626281033128660*e^2 + 730296560863914119/1313140516564330*e - 64444825729878018/656570258282165, 815783698487397/1313140516564330*e^17 - 2892541213928569/656570258282165*e^16 - 927707785023078/131314051656433*e^15 + 74525494470506658/656570258282165*e^14 - 132412127118352241/1313140516564330*e^13 - 669562960671362269/656570258282165*e^12 + 2566547772323618723/1313140516564330*e^11 + 2351686529421381136/656570258282165*e^10 - 14235864630928319107/1313140516564330*e^9 - 1627964349150720937/656570258282165*e^8 + 3198877157420367934/131314051656433*e^7 - 6554446675355475701/656570258282165*e^6 - 12469602080101353842/656570258282165*e^5 + 9041377152540726281/656570258282165*e^4 + 2119598482471227877/1313140516564330*e^3 - 1236760442512470859/656570258282165*e^2 - 159829657054651988/656570258282165*e + 48836539941294212/656570258282165, -2202290359492531/525256206625732*e^17 + 16798259845336765/525256206625732*e^16 + 3814399097999056/131314051656433*e^15 - 102175412719814459/131314051656433*e^14 + 601310188099985275/525256206625732*e^13 + 3234625058405084133/525256206625732*e^12 - 8967156189534281103/525256206625732*e^11 - 7178901700048845861/525256206625732*e^10 + 44117168865015474189/525256206625732*e^9 - 19192704418515192923/525256206625732*e^8 - 20412777907251372509/131314051656433*e^7 + 23245802329232331735/131314051656433*e^6 + 6197442646357632493/131314051656433*e^5 - 20980670700232809862/131314051656433*e^4 + 38466685955458904137/525256206625732*e^3 - 551662405745532361/525256206625732*e^2 - 1292055684361863021/262628103312866*e + 74370108733318502/131314051656433, -8032995252140283/5252562066257320*e^17 + 32624206079582711/2626281033128660*e^16 + 731659960166304/131314051656433*e^15 - 385376805190161921/1313140516564330*e^14 + 2867327222103605259/5252562066257320*e^13 + 1414550804691907984/656570258282165*e^12 - 38660135786746502517/5252562066257320*e^11 - 7763560283735991939/2626281033128660*e^10 + 180852699699108597213/5252562066257320*e^9 - 64575629185419360587/2626281033128660*e^8 - 15307955212768790985/262628103312866*e^7 + 58223957146860147811/656570258282165*e^6 + 4780441434713597979/1313140516564330*e^5 - 96529306186300573947/1313140516564330*e^4 + 226594359050148613617/5252562066257320*e^3 - 2000963443915263736/656570258282165*e^2 - 3869797665801039099/1313140516564330*e + 246236351545333498/656570258282165, 4915612610995493/10505124132514640*e^17 - 15065673443962661/5252562066257320*e^16 - 1095074029444899/131314051656433*e^15 + 209631276978642771/2626281033128660*e^14 + 14270713368985771/10505124132514640*e^13 - 1082976034689910559/1313140516564330*e^12 + 8249581808897272027/10505124132514640*e^11 + 20626801275818848249/5252562066257320*e^10 - 61155071203511548643/10505124132514640*e^9 - 45614234344870237043/5252562066257320*e^8 + 8971302912442756917/525256206625732*e^7 + 4690688693151842662/656570258282165*e^6 - 57061083575621406169/2626281033128660*e^5 + 2331730669803390397/2626281033128660*e^4 + 109048684832706792593/10505124132514640*e^3 - 1826359633454931072/656570258282165*e^2 - 1797710854746255111/2626281033128660*e + 103691305995810941/656570258282165, -516879203720463/1313140516564330*e^17 + 6629531953661069/2626281033128660*e^16 + 820674478522229/131314051656433*e^15 - 44950966943298597/656570258282165*e^14 + 24041295880552909/1313140516564330*e^13 + 1779117400463731899/2626281033128660*e^12 - 545332457782466101/656570258282165*e^11 - 7818508506068635341/2626281033128660*e^10 + 7155959763162362923/1313140516564330*e^9 + 14508151917883908017/2626281033128660*e^8 - 1903465364051604758/131314051656433*e^7 - 1444761460498894996/656570258282165*e^6 + 10475598480260894488/656570258282165*e^5 - 2117111128891425959/656570258282165*e^4 - 7773724726724322383/1313140516564330*e^3 + 5226490282385072669/2626281033128660*e^2 + 283176137766900679/1313140516564330*e - 41792628893164198/656570258282165, 6666946721568681/5252562066257320*e^17 - 6181188498377998/656570258282165*e^16 - 1206098183134506/131314051656433*e^15 + 296828003775132297/1313140516564330*e^14 - 1745172923272884873/5252562066257320*e^13 - 4548046600386684457/2626281033128660*e^12 + 26058848748092764619/5252562066257320*e^11 + 2118746873527065627/656570258282165*e^10 - 125715781449478008631/5252562066257320*e^9 + 18673830127683539167/1313140516564330*e^8 + 10896121701765425207/262628103312866*e^7 - 38390822206807939277/656570258282165*e^6 - 5511278846756092243/1313140516564330*e^5 + 65566134666084742109/1313140516564330*e^4 - 152784527424870771859/5252562066257320*e^3 + 5306039886956074413/2626281033128660*e^2 + 1272571987884027774/656570258282165*e - 169243558327113456/656570258282165, 374489078159917/1050512413251464*e^17 - 1840754234943611/525256206625732*e^16 + 280008743291170/131314051656433*e^15 + 20711888901421879/262628103312866*e^14 - 227891460057996557/1050512413251464*e^13 - 131531141646663345/262628103312866*e^12 + 2674549462440335995/1050512413251464*e^11 - 120731942303467749/525256206625732*e^10 - 11752661871737325915/1050512413251464*e^9 + 6128779636756290507/525256206625732*e^8 + 4538645277804457417/262628103312866*e^7 - 4493130689357503771/131314051656433*e^6 + 780882986272313929/262628103312866*e^5 + 6922613242149138825/262628103312866*e^4 - 17849812524821057951/1050512413251464*e^3 + 447575697985000459/262628103312866*e^2 + 248442438052027433/262628103312866*e - 23180154367866898/131314051656433, 2273547079677039/1313140516564330*e^17 - 8115241161788223/656570258282165*e^16 - 2224148823546028/131314051656433*e^15 + 201944753902816606/656570258282165*e^14 - 452189843637660047/1313140516564330*e^13 - 1684998362461545968/656570258282165*e^12 + 7715876689825314261/1313140516564330*e^11 + 4683241803457157257/656570258282165*e^10 - 39851899984820404189/1313140516564330*e^9 + 3874846391557970271/656570258282165*e^8 + 7858301091607653666/131314051656433*e^7 - 34437918337543317862/656570258282165*e^6 - 17703584926854414044/656570258282165*e^5 + 34143797410179462422/656570258282165*e^4 - 24559150429410305201/1313140516564330*e^3 - 717330180470160238/656570258282165*e^2 + 913839877666598324/656570258282165*e - 53052913686085786/656570258282165, -1215719379391063/1050512413251464*e^17 + 4598774819785649/525256206625732*e^16 + 996617283678687/131314051656433*e^15 - 55210291509266391/262628103312866*e^14 + 341738977998702055/1050512413251464*e^13 + 422795349055557243/262628103312866*e^12 - 5004992706429969649/1050512413251464*e^11 - 1566649121471404121/525256206625732*e^10 + 24225061530127521465/1050512413251464*e^9 - 7045072600431626457/525256206625732*e^8 - 10774835083470361773/262628103312866*e^7 + 7253928463127400325/131314051656433*e^6 + 2053844571056181231/262628103312866*e^5 - 12663585018653176509/262628103312866*e^4 + 25670481623131917093/1050512413251464*e^3 - 150651196331525623/262628103312866*e^2 - 407533338928940209/262628103312866*e + 21990742172730720/131314051656433, -12195243897972167/10505124132514640*e^17 + 47111182243710999/5252562066257320*e^16 + 853398247555222/131314051656433*e^15 - 560732513630354189/2626281033128660*e^14 + 3719856785161120871/10505124132514640*e^13 + 2100481921083799171/1313140516564330*e^12 - 52647641576969714233/10505124132514640*e^11 - 13524584203053041531/5252562066257320*e^10 + 249819916591304402577/10505124132514640*e^9 - 82819990461688016263/5252562066257320*e^8 - 21327422932847761299/525256206625732*e^7 + 39403360670731933922/656570258282165*e^6 + 7571556901416844671/2626281033128660*e^5 - 131759771085895333763/2626281033128660*e^4 + 313102279912147679413/10505124132514640*e^3 - 1571950979559719657/656570258282165*e^2 - 5425718372670065191/2626281033128660*e + 185972194730907911/656570258282165, 2494846381107847/10505124132514640*e^17 - 13683450315397409/5252562066257320*e^16 + 572901711890787/131314051656433*e^15 + 133467375713027989/2626281033128660*e^14 - 2266576164941651671/10505124132514640*e^13 - 422786219250014317/2626281033128660*e^12 + 23657610164829668273/10505124132514640*e^11 - 11862783940790420099/5252562066257320*e^10 - 90230217633668048577/10505124132514640*e^9 + 93768000506655424213/5252562066257320*e^8 + 3935963950950260667/525256206625732*e^7 - 28083691755830904252/656570258282165*e^6 + 52732017477073417049/2626281033128660*e^5 + 75751071004335280903/2626281033128660*e^4 - 299024955379099893493/10505124132514640*e^3 + 11597314570247933103/2626281033128660*e^2 + 4930467914269728521/2626281033128660*e - 197099882117123841/656570258282165, -5231019800298869/2626281033128660*e^17 + 19167021577768343/1313140516564330*e^16 + 2225399872880809/131314051656433*e^15 - 235545867297824728/656570258282165*e^14 + 1212831058729100497/2626281033128660*e^13 + 1909920149006324089/656570258282165*e^12 - 19316504325398000351/2626281033128660*e^11 - 9467245819139097917/1313140516564330*e^10 + 97349793601409505959/2626281033128660*e^9 - 16290404397515180401/1313140516564330*e^8 - 9293859786503148223/131314051656433*e^7 + 47743034422475244516/656570258282165*e^6 + 17501645630280909072/656570258282165*e^5 - 44998773653571501961/656570258282165*e^4 + 72716316006032591651/2626281033128660*e^3 + 565406407077146429/656570258282165*e^2 - 1251575816643081967/656570258282165*e + 124488937452387848/656570258282165, -2049630941775727/5252562066257320*e^17 + 10125593147162449/2626281033128660*e^16 - 405672346797029/131314051656433*e^15 - 109977409401394199/1313140516564330*e^14 + 1337574718135426751/5252562066257320*e^13 + 616217279748316687/1313140516564330*e^12 - 15230198963938368553/5252562066257320*e^11 + 2794082600110492519/2626281033128660*e^10 + 64279391220979614137/5252562066257320*e^9 - 43166659449978156373/2626281033128660*e^8 - 4342131547652511105/262628103312866*e^7 + 29283204656368838539/656570258282165*e^6 - 13957002177454918559/1313140516564330*e^5 - 43445121600060635483/1313140516564330*e^4 + 131194144045136060973/5252562066257320*e^3 - 3617585948685001543/1313140516564330*e^2 - 1938130266497247631/1313140516564330*e + 137813289499959142/656570258282165, -556446601316043/10505124132514640*e^17 + 2980940189011821/5252562066257320*e^16 - 112911271385291/131314051656433*e^15 - 29841017520032741/2626281033128660*e^14 + 480863047422202539/10505124132514640*e^13 + 111901978486973913/2626281033128660*e^12 - 5164452841022744717/10505124132514640*e^11 + 2224755845759407791/5252562066257320*e^10 + 20790555102583182173/10505124132514640*e^9 - 19120535433088316177/5252562066257320*e^8 - 1211034084630965843/525256206625732*e^7 + 5966767351794501383/656570258282165*e^6 - 7458333366530471361/2626281033128660*e^5 - 17769760682100941367/2626281033128660*e^4 + 53409744219279507777/10505124132514640*e^3 - 705516177668193587/2626281033128660*e^2 - 1041481004539310589/2626281033128660*e + 40816421413342949/656570258282165, -5717371973120403/5252562066257320*e^17 + 19428396892882921/2626281033128660*e^16 + 1762254603535501/131314051656433*e^15 - 249458692197063791/1313140516564330*e^14 + 771212487190527579/5252562066257320*e^13 + 2226418801804560283/1313140516564330*e^12 - 16284962369410919477/5252562066257320*e^11 - 15356364076974739829/2626281033128660*e^10 + 90913523555634890293/5252562066257320*e^9 + 8997567511833148983/2626281033128660*e^8 - 10045893385001592617/262628103312866*e^7 + 11909149488079423506/656570258282165*e^6 + 36291095704419176679/1313140516564330*e^5 - 31138911408233975707/1313140516564330*e^4 + 919063742867822657/5252562066257320*e^3 + 3420569892764834523/1313140516564330*e^2 + 313188891156371/1313140516564330*e - 2869307209984312/656570258282165, -1692618818458634/656570258282165*e^17 + 27187364736546507/1313140516564330*e^16 + 1425129554858632/131314051656433*e^15 - 322551949343441102/656570258282165*e^14 + 579572120207480197/656570258282165*e^13 + 4791163092352334157/1313140516564330*e^12 - 7927020505940009251/656570258282165*e^11 - 7221928153113330513/1313140516564330*e^10 + 37357794396357997934/656570258282165*e^9 - 50486487386419783509/1313140516564330*e^8 - 12822249107902720859/131314051656433*e^7 + 93843728970624822584/656570258282165*e^6 + 6498978234655946913/656570258282165*e^5 - 78592160202836202789/656570258282165*e^4 + 44524765792588936221/656570258282165*e^3 - 5777047332170648653/1313140516564330*e^2 - 2882747329588051153/656570258282165*e + 383106733465733122/656570258282165, 3111724718395157/10505124132514640*e^17 - 11997849727978009/5252562066257320*e^16 - 359034027428652/131314051656433*e^15 + 155269629170206419/2626281033128660*e^14 - 697331812206499541/10505124132514640*e^13 - 351690651879154383/656570258282165*e^12 + 11896071809155835803/10505124132514640*e^11 + 10083793846719920261/5252562066257320*e^10 - 65375870546182762947/10505124132514640*e^9 - 7983101162360812247/5252562066257320*e^8 + 7570303365302157653/525256206625732*e^7 - 3220107018470628312/656570258282165*e^6 - 33144294408304557861/2626281033128660*e^5 + 19398004539028595753/2626281033128660*e^4 + 27135895629507099137/10505124132514640*e^3 - 1834887613871584481/1313140516564330*e^2 - 757805020629440859/2626281033128660*e + 3183939940841359/656570258282165, 295284135260326/656570258282165*e^17 - 2775198146733479/656570258282165*e^16 + 275617063347348/131314051656433*e^15 + 61579307432106953/656570258282165*e^14 - 167956118394344368/656570258282165*e^13 - 373220489945326014/656570258282165*e^12 + 1971291776920881264/656570258282165*e^11 - 409591437302195919/656570258282165*e^10 - 8469370840788422131/656570258282165*e^9 + 10214503502738589838/656570258282165*e^8 + 2378310231069426820/131314051656433*e^7 - 28826506420951284321/656570258282165*e^6 + 6163064217799824343/656570258282165*e^5 + 21529498724792474056/656570258282165*e^4 - 16422128004185998069/656570258282165*e^3 + 1940125350060888611/656570258282165*e^2 + 1067101292505222892/656570258282165*e - 158494616279451518/656570258282165, 215127618620939/5252562066257320*e^17 + 316462893307747/2626281033128660*e^16 - 357666400400622/131314051656433*e^15 - 184690321370807/1313140516564330*e^14 + 282110953196318133/5252562066257320*e^13 - 70340385919579339/1313140516564330*e^12 - 2382762264921897059/5252562066257320*e^11 + 1906154578275822137/2626281033128660*e^10 + 9048043349630748851/5252562066257320*e^9 - 9756077860700805999/2626281033128660*e^8 - 630769497503052073/262628103312866*e^7 + 5363741492131341417/656570258282165*e^6 - 943039792633092347/1313140516564330*e^5 - 8587051995752862409/1313140516564330*e^4 + 14698557136607343359/5252562066257320*e^3 + 1056968677590321221/1313140516564330*e^2 - 579419989209888643/1313140516564330*e - 12899444310153664/656570258282165, 2002879327204231/2626281033128660*e^17 - 14606119095293679/2626281033128660*e^16 - 899734309708374/131314051656433*e^15 + 90534659419986537/656570258282165*e^14 - 441843342186864723/2626281033128660*e^13 - 2996661439562331099/2626281033128660*e^12 + 7230595994865564399/2626281033128660*e^11 + 8071677119678524751/2626281033128660*e^10 - 37047254351621906721/2626281033128660*e^9 + 8563872432289319493/2626281033128660*e^8 + 3652759228680460417/131314051656433*e^7 - 16284773584005928009/656570258282165*e^6 - 8396133967157390703/656570258282165*e^5 + 15921284138023940349/656570258282165*e^4 - 22140794683923665229/2626281033128660*e^3 - 1408670155605863209/2626281033128660*e^2 + 907519827133184311/1313140516564330*e - 24823778345960562/656570258282165, -3636954083661283/1050512413251464*e^17 + 13827582499436425/525256206625732*e^16 + 3128679902540413/131314051656433*e^15 - 167739212454535345/262628103312866*e^14 + 996024143806417051/1050512413251464*e^13 + 1318500204328165255/262628103312866*e^12 - 14811026882715882149/1050512413251464*e^11 - 5656185657981844509/525256206625732*e^10 + 72626177538065872685/1050512413251464*e^9 - 16917132078728577269/525256206625732*e^8 - 33320114328015348161/262628103312866*e^7 + 19671387324570549386/131314051656433*e^6 + 9306891701122037279/262628103312866*e^5 - 35157961980001550891/262628103312866*e^4 + 66382277891049246473/1050512413251464*e^3 - 382926176193344141/262628103312866*e^2 - 1093677483752353895/262628103312866*e + 69313158116706494/131314051656433, -6245905587860769/10505124132514640*e^17 + 23435675118098773/5252562066257320*e^16 + 412498941085426/131314051656433*e^15 - 270153054716068783/2626281033128660*e^14 + 1916789311642120257/10505124132514640*e^13 + 463328952933468301/656570258282165*e^12 - 26349225392827930191/10505124132514640*e^11 - 2097155670574784297/5252562066257320*e^10 + 118806198972657876599/10505124132514640*e^9 - 61226483275226968941/5252562066257320*e^8 - 8548126681993339573/525256206625732*e^7 + 24150927249875991349/656570258282165*e^6 - 21893627493236581883/2626281033128660*e^5 - 73578000256644045101/2626281033128660*e^4 + 237524335619268803411/10505124132514640*e^3 - 4047256909915125873/1313140516564330*e^2 - 3839645083903252057/2626281033128660*e + 142760154008618077/656570258282165, -16548235271243787/5252562066257320*e^17 + 63918484992788459/2626281033128660*e^16 + 2450617356558714/131314051656433*e^15 - 766817372836465929/1313140516564330*e^14 + 4930313021527820011/5252562066257320*e^13 + 2931045622266217331/656570258282165*e^12 - 70781348638405802693/5252562066257320*e^11 - 21521515441746701391/2626281033128660*e^10 + 340536743070491995117/5252562066257320*e^9 - 98742677350730062003/2626281033128660*e^8 - 30137493824336398139/262628103312866*e^7 + 100868846844119524024/656570258282165*e^6 + 27176476063291077111/1313140516564330*e^5 - 174305422865919826083/1313140516564330*e^4 + 366780589008335697153/5252562066257320*e^3 - 2036096718733121114/656570258282165*e^2 - 6073346784582430571/1313140516564330*e + 379297932827546732/656570258282165, -13647147281934681/5252562066257320*e^17 + 54961168419959427/2626281033128660*e^16 + 1375690007767003/131314051656433*e^15 - 650955863141613897/1313140516564330*e^14 + 4735415161384755073/5252562066257320*e^13 + 4812526205606103461/1313140516564330*e^12 - 64475743430756706159/5252562066257320*e^11 - 13987417064617437963/2626281033128660*e^10 + 303202108013049970391/5252562066257320*e^9 - 104874017732491841019/2626281033128660*e^8 - 25924915397789430991/262628103312866*e^7 + 96327753747062116647/656570258282165*e^6 + 11930119373977600963/1313140516564330*e^5 - 161172659378161028909/1313140516564330*e^4 + 365414899991916542339/5252562066257320*e^3 - 5631802652482227689/1313140516564330*e^2 - 5929643291316093843/1313140516564330*e + 387892043725899926/656570258282165, -957674676753767/5252562066257320*e^17 + 1720548140558801/656570258282165*e^16 - 890444774786595/131314051656433*e^15 - 65356556314101839/1313140516564330*e^14 + 1338099297080927071/5252562066257320*e^13 + 329473961450633779/2626281033128660*e^12 - 13358179133120645173/5252562066257320*e^11 + 1726391424898641296/656570258282165*e^10 + 50391966489609187017/5252562066257320*e^9 - 25610877418519639119/1313140516564330*e^8 - 2285956836410896591/262628103312866*e^7 + 30107920369996243839/656570258282165*e^6 - 27312478577495940209/1313140516564330*e^5 - 39890885709222484123/1313140516564330*e^4 + 157756941458949690413/5252562066257320*e^3 - 13211818848853658931/2626281033128660*e^2 - 1209191693671519238/656570258282165*e + 199130869741812342/656570258282165, 2586789963199201/10505124132514640*e^17 - 5088069877041627/5252562066257320*e^16 - 1089089319795583/131314051656433*e^15 + 96357576720006667/2626281033128660*e^14 + 1039183505657056447/10505124132514640*e^13 - 1424163253303723741/2626281033128660*e^12 - 4466536671757392921/10505124132514640*e^11 + 20662626492909880983/5252562066257320*e^10 - 5680864019297093111/10505124132514640*e^9 - 75705402281511151881/5252562066257320*e^8 + 5094011738379884941/525256206625732*e^7 + 15894042518089866094/656570258282165*e^6 - 68163510326290776833/2626281033128660*e^5 - 30770926684603762891/2626281033128660*e^4 + 221849284694277237101/10505124132514640*e^3 - 11427376636292292421/2626281033128660*e^2 - 3765048124187708657/2626281033128660*e + 149578573747205457/656570258282165, -1678086765159297/2101024826502928*e^17 + 7194850996655885/1050512413251464*e^16 + 69700754721192/131314051656433*e^15 - 82973105900230531/525256206625732*e^14 + 726659461072902897/2101024826502928*e^13 + 142314550349338509/131314051656433*e^12 - 9203281713290233727/2101024826502928*e^11 - 631457033034004649/1050512413251464*e^10 + 41551101052981090007/2101024826502928*e^9 - 18994803512144179637/1050512413251464*e^8 - 16377318796597444817/525256206625732*e^7 + 7544827985511636328/131314051656433*e^6 - 2374838755164819299/525256206625732*e^5 - 23731780027872407261/525256206625732*e^4 + 63337569668035969971/2101024826502928*e^3 - 806023347403552373/262628103312866*e^2 - 982117696097438905/525256206625732*e + 34012489593166231/131314051656433, 1980272754094317/10505124132514640*e^17 - 6024060872850509/5252562066257320*e^16 - 406205542121208/131314051656433*e^15 + 81373083095881139/2626281033128660*e^14 - 69742488246091901/10505124132514640*e^13 - 398822763379534171/1313140516564330*e^12 + 4063776296998701523/10505124132514640*e^11 + 6820164610673490201/5252562066257320*e^10 - 27851702889140833707/10505124132514640*e^9 - 11297999730481778787/5252562066257320*e^8 + 3913515153116030237/525256206625732*e^7 - 147154686097770882/656570258282165*e^6 - 23812839276664764501/2626281033128660*e^5 + 9125098860286042173/2626281033128660*e^4 + 43237235067754346777/10505124132514640*e^3 - 1404382749146581038/656570258282165*e^2 - 590692241607075519/2626281033128660*e + 65878720743610259/656570258282165, 3758435512996413/5252562066257320*e^17 - 12674643267345841/2626281033128660*e^16 - 1176551918076424/131314051656433*e^15 + 162309305042467161/1313140516564330*e^14 - 480428913247703469/5252562066257320*e^13 - 720869455093298964/656570258282165*e^12 + 10322209265793123427/5252562066257320*e^11 + 9839477620902975909/2626281033128660*e^10 - 57015457078804675323/5252562066257320*e^9 - 5372556625136815543/2626281033128660*e^8 + 6094610971409479185/262628103312866*e^7 - 7671316340967591821/656570258282165*e^6 - 19306785370273441789/1313140516564330*e^5 + 18522993000098789057/1313140516564330*e^4 - 12488984713534016247/5252562066257320*e^3 - 233973270165168464/656570258282165*e^2 - 15892283739353531/1313140516564330*e + 1512343519956772/656570258282165, 11800784190461881/5252562066257320*e^17 - 42752211285887897/2626281033128660*e^16 - 2667621667292350/131314051656433*e^15 + 527699813750579627/1313140516564330*e^14 - 2568564482712758753/5252562066257320*e^13 - 2162043302687848033/656570258282165*e^12 + 41976243725105493759/5252562066257320*e^11 + 22427517105779841373/2626281033128660*e^10 - 213065558428447163111/5252562066257320*e^9 + 30169376252710709969/2626281033128660*e^8 + 20464516073840866255/262628103312866*e^7 - 49858920413219806652/656570258282165*e^6 - 39686038735691239263/1313140516564330*e^5 + 94300213266491062789/1313140516564330*e^4 - 155016523513628625539/5252562066257320*e^3 + 123701205654094682/656570258282165*e^2 + 2541617995783567343/1313140516564330*e - 186870818506732346/656570258282165, -1885397719496343/656570258282165*e^17 + 29265976395855989/1313140516564330*e^16 + 2279666364590265/131314051656433*e^15 - 353169143416599069/656570258282165*e^14 + 557208501158189754/656570258282165*e^13 + 5481386020767299829/1313140516564330*e^12 - 8050059282827420107/656570258282165*e^11 - 10994380623217624441/1313140516564330*e^10 + 39005989617495471503/656570258282165*e^9 - 40014311297656006363/1313140516564330*e^8 - 14069797521001371014/131314051656433*e^7 + 87054293776781331598/656570258282165*e^6 + 16632841120827890966/656570258282165*e^5 - 75990245287668206093/656570258282165*e^4 + 38260398409515787542/656570258282165*e^3 - 3796785165944111991/1313140516564330*e^2 - 2392742105178479221/656570258282165*e + 327156920745976004/656570258282165, -1532012902468169/1313140516564330*e^17 + 23777254583349337/2626281033128660*e^16 + 844548659130084/131314051656433*e^15 - 141603793006607441/656570258282165*e^14 + 470604654299589097/1313140516564330*e^13 + 4252437191459952847/2626281033128660*e^12 - 3321063274876099963/656570258282165*e^11 - 6960366533636378153/2626281033128660*e^10 + 31469163871649406479/1313140516564330*e^9 - 41072350638218599919/2626281033128660*e^8 - 5355876050604227588/131314051656433*e^7 + 39287873155821669227/656570258282165*e^6 + 1648847526273461229/656570258282165*e^5 - 32672910344597150142/656570258282165*e^4 + 39852223664686457671/1313140516564330*e^3 - 7148937278172826503/2626281033128660*e^2 - 2709654888638127633/1313140516564330*e + 198323042489076226/656570258282165, -17987263486662193/10505124132514640*e^17 + 67525025196725181/5252562066257320*e^16 + 1694570035286209/131314051656433*e^15 - 824523518263790591/2626281033128660*e^14 + 4628408602951234209/10505124132514640*e^13 + 1646116046812775332/656570258282165*e^12 - 70681798333634457407/10505124132514640*e^11 - 30491162745771004449/5252562066257320*e^10 + 351159824813463883703/10505124132514640*e^9 - 70066610925793502117/5252562066257320*e^8 - 32966297357176133445/525256206625732*e^7 + 45094779440289877503/656570258282165*e^6 + 55915577239403734989/2626281033128660*e^5 - 165540676680682856537/2626281033128660*e^4 + 284428727522928765667/10505124132514640*e^3 + 139313474232690889/1313140516564330*e^2 - 4706365580252239749/2626281033128660*e + 150359645308866589/656570258282165, 12745919140506139/10505124132514640*e^17 - 51821872149255693/5252562066257320*e^16 - 606580235045293/131314051656433*e^15 + 615343302757883853/2626281033128660*e^14 - 4511134342270850107/10505124132514640*e^13 - 4579247896550885329/2626281033128660*e^12 + 61278339819549667421/10505124132514640*e^11 + 13985307631226016497/5252562066257320*e^10 - 289458690828574846589/10505124132514640*e^9 + 95573431372631547281/5252562066257320*e^8 + 25177107115027752491/525256206625732*e^7 - 44733434174430095049/656570258282165*e^6 - 18392168442081695407/2626281033128660*e^5 + 151557972678481446671/2626281033128660*e^4 - 324415580653068956561/10505124132514640*e^3 + 3589603676247707731/2626281033128660*e^2 + 5354630570865190757/2626281033128660*e - 156980077126443657/656570258282165, -3796444128841367/5252562066257320*e^17 + 13893303164963749/2626281033128660*e^16 + 976545300184225/131314051656433*e^15 - 178075979194216339/1313140516564330*e^14 + 728150775971221271/5252562066257320*e^13 + 1583010857824876097/1313140516564330*e^12 - 13059284564226139993/5252562066257320*e^11 - 10784861035243766701/2626281033128660*e^10 + 71214196693295679817/5252562066257320*e^9 + 5435374309639400147/2626281033128660*e^8 - 7919062293233042063/262628103312866*e^7 + 9157087511668556379/656570258282165*e^6 + 30233110750778983821/1313140516564330*e^5 - 23924222249556875203/1313140516564330*e^4 - 6665576879176611027/5252562066257320*e^3 + 3433524559090873277/1313140516564330*e^2 - 27807762378065421/1313140516564330*e - 43258431429716458/656570258282165, -12679419215089089/10505124132514640*e^17 + 50386482950122283/5252562066257320*e^16 + 600710747434817/131314051656433*e^15 - 587898575857454303/2626281033128660*e^14 + 4448489124143132737/10505124132514640*e^13 + 4171999558352688549/2626281033128660*e^12 - 59781024981991286151/10505124132514640*e^11 - 8085716954953241927/5252562066257320*e^10 + 275789804305692249959/10505124132514640*e^9 - 116958240700915563191/5252562066257320*e^8 - 22261450231436505605/525256206625732*e^7 + 49059399462545610194/656570258282165*e^6 - 10107778331712755043/2626281033128660*e^5 - 158122358843172138701/2626281033128660*e^4 + 404846887355022521731/10505124132514640*e^3 - 8774945768097474871/2626281033128660*e^2 - 6304685337203383487/2626281033128660*e + 186857861280329667/656570258282165, -627439642503381/262628103312866*e^17 + 4791542178105767/262628103312866*e^16 + 1908167629268022/131314051656433*e^15 - 57147737347036078/131314051656433*e^14 + 183147938898100995/262628103312866*e^13 + 861083029555041505/262628103312866*e^12 - 2627253927944711077/262628103312866*e^11 - 1443264947343568971/262628103312866*e^10 + 12495809552815066751/262628103312866*e^9 - 8101923901852714121/262628103312866*e^8 - 10641030468651223463/131314051656433*e^7 + 15678052691777799609/131314051656433*e^6 + 627673309949375268/131314051656433*e^5 - 13103831180828249248/131314051656433*e^4 + 15894367770511483739/262628103312866*e^3 - 1361511303449443613/262628103312866*e^2 - 536136040049716709/131314051656433*e + 77614112410429020/131314051656433, 5225418962822809/10505124132514640*e^17 - 20670559728660003/5252562066257320*e^16 - 223082281688385/131314051656433*e^15 + 238299727069061863/2626281033128660*e^14 - 1876946413358832377/10505124132514640*e^13 - 1632337719258130789/2626281033128660*e^12 + 24903672092994087951/10505124132514640*e^11 + 1707385783740047367/5252562066257320*e^10 - 113391054118669394159/10505124132514640*e^9 + 55471863197091935071/5252562066257320*e^8 + 8814200517276623653/525256206625732*e^7 - 22142822957076027259/656570258282165*e^6 + 9413392042594984003/2626281033128660*e^5 + 71694408352446840261/2626281033128660*e^4 - 184757409650925022411/10505124132514640*e^3 + 2409631719204475271/2626281033128660*e^2 + 3047758975366428327/2626281033128660*e - 82445290219733367/656570258282165, 11673365794490393/10505124132514640*e^17 - 44599685603731381/5252562066257320*e^16 - 866369762402612/131314051656433*e^15 + 529938755744386951/2626281033128660*e^14 - 3441791687835342569/10505124132514640*e^13 - 988434199795556742/656570258282165*e^12 + 49016004729948586727/10505124132514640*e^11 + 12381658938428017769/5252562066257320*e^10 - 231264309546739730863/10505124132514640*e^9 + 79930552408222512197/5252562066257320*e^8 + 19249481495150004701/525256206625732*e^7 - 37472605973694772468/656570258282165*e^6 + 1217850239516345031/2626281033128660*e^5 + 123226165092298751257/2626281033128660*e^4 - 318282037519184054107/10505124132514640*e^3 + 3961813782784888821/1313140516564330*e^2 + 5230623647858604089/2626281033128660*e - 178174293614804549/656570258282165, -1282772444477219/5252562066257320*e^17 + 6497772532499693/2626281033128660*e^16 - 292565666394429/131314051656433*e^15 - 70718802497154443/1313140516564330*e^14 + 881533758273625387/5252562066257320*e^13 + 398754441560603829/1313140516564330*e^12 - 10013714415379548781/5252562066257320*e^11 + 1748164254057446583/2626281033128660*e^10 + 42717630710228816629/5252562066257320*e^9 - 27688895125069116641/2626281033128660*e^8 - 3035287758479064819/262628103312866*e^7 + 19008670794895331048/656570258282165*e^6 - 6912554120768731783/1313140516564330*e^5 - 29279257136210785281/1313140516564330*e^4 + 79814843684790323041/5252562066257320*e^3 - 1104775450609670831/1313140516564330*e^2 - 1443857324389003937/1313140516564330*e + 59525265157933764/656570258282165, -7082489835621761/2101024826502928*e^17 + 26588038713333223/1050512413251464*e^16 + 3424996157488881/131314051656433*e^15 - 326137609916408371/525256206625732*e^14 + 1788426911313347809/2101024826502928*e^13 + 2633212087359937031/525256206625732*e^12 - 27573891360058611799/2101024826502928*e^11 - 12823987811110668587/1050512413251464*e^10 + 137840810351819200951/2101024826502928*e^9 - 23854714747980533699/1050512413251464*e^8 - 65532617277273517829/525256206625732*e^7 + 16799407536236376679/131314051656433*e^6 + 24533577530695875285/525256206625732*e^5 - 62424183997806149389/525256206625732*e^4 + 102380780638359288531/2101024826502928*e^3 + 84926040074900015/525256206625732*e^2 - 1589019463887268935/525256206625732*e + 48884171170415159/131314051656433, -5862108426681791/10505124132514640*e^17 + 27097962975290007/5252562066257320*e^16 - 317524683702318/131314051656433*e^15 - 297772042599398057/2626281033128660*e^14 + 3264870940921453503/10505124132514640*e^13 + 872604431740102253/1313140516564330*e^12 - 38157434083836369089/10505124132514640*e^11 + 5493998876998369397/5252562066257320*e^10 + 161234401267783218601/10505124132514640*e^9 - 106085043618182009479/5252562066257320*e^8 - 10525977749187602739/525256206625732*e^7 + 36545930085997093491/656570258282165*e^6 - 42333091538478086457/2626281033128660*e^5 - 106537794688397785639/2626281033128660*e^4 + 360811347218554137629/10505124132514640*e^3 - 3058125249001828096/656570258282165*e^2 - 6351596549127749803/2626281033128660*e + 251128147976197923/656570258282165, 1668665015417168/656570258282165*e^17 - 12486993391977437/656570258282165*e^16 - 2496049360864766/131314051656433*e^15 + 303693284975672404/656570258282165*e^14 - 430335645253089179/656570258282165*e^13 - 2401337057963875477/656570258282165*e^12 + 6537745097595975502/656570258282165*e^11 + 5304141446475217323/656570258282165*e^10 - 32235599662684016663/656570258282165*e^9 + 14424369470082455719/656570258282165*e^8 + 11861195542524260970/131314051656433*e^7 - 69482331358030100138/656570258282165*e^6 - 16587119040431927666/656570258282165*e^5 + 62724404531754285338/656570258282165*e^4 - 29648496786788713197/656570258282165*e^3 + 339036434588325493/656570258282165*e^2 + 2010806771971972706/656570258282165*e - 212286867524242254/656570258282165, 563967064701376/656570258282165*e^17 - 4913113581307449/656570258282165*e^16 + 66131445094430/131314051656433*e^15 + 111792520494054493/656570258282165*e^14 - 262184462470148718/656570258282165*e^13 - 735727700932475804/656570258282165*e^12 + 3250775225235730149/656570258282165*e^11 + 12167475606270911/656570258282165*e^10 - 14484290060795968896/656570258282165*e^9 + 14872928920238528678/656570258282165*e^8 + 4437575488499693582/131314051656433*e^7 - 45090911591174064151/656570258282165*e^6 + 5175150554304551773/656570258282165*e^5 + 35204774391970711951/656570258282165*e^4 - 23607720062089974054/656570258282165*e^3 + 2104632563016654861/656570258282165*e^2 + 1464926295217507362/656570258282165*e - 175275903708517828/656570258282165, -15884033192299559/10505124132514640*e^17 + 67413214812308003/5252562066257320*e^16 + 267855776062091/131314051656433*e^15 - 782521770067803993/2626281033128660*e^14 + 6603460803417660167/10505124132514640*e^13 + 1367752439811810901/656570258282165*e^12 - 84744762724535782521/10505124132514640*e^11 - 8606020217427433647/5252562066257320*e^10 + 385946313933430844609/10505124132514640*e^9 - 166346552239880682531/5252562066257320*e^8 - 31029920133962588851/525256206625732*e^7 + 68055792315764740344/656570258282165*e^6 - 13180674282118890933/2626281033128660*e^5 - 217738376590266448351/2626281033128660*e^4 + 560400973098118714821/10505124132514640*e^3 - 6152432114387993253/1313140516564330*e^2 - 9514939297314294127/2626281033128660*e + 327142855812493547/656570258282165, -1030469234186377/1050512413251464*e^17 + 3642031231392569/525256206625732*e^16 + 1393895738526218/131314051656433*e^15 - 46228676407548867/262628103312866*e^14 + 179972870091028209/1050512413251464*e^13 + 201406886581727781/131314051656433*e^12 - 3320793649727100495/1050512413251464*e^11 - 2589042463964677789/525256206625732*e^10 + 17911744071824270327/1050512413251464*e^9 + 392499141534848119/525256206625732*e^8 - 9571030702219860159/262628103312866*e^7 + 2872605002285272354/131314051656433*e^6 + 6277236079789032907/262628103312866*e^5 - 6692927947490125713/262628103312866*e^4 + 3099752490092020075/1050512413251464*e^3 + 311144155905449038/131314051656433*e^2 - 73275328678621045/262628103312866*e - 2175939936436862/131314051656433, 2586794093246323/2101024826502928*e^17 - 10226764667136579/1050512413251464*e^16 - 842866667527979/131314051656433*e^15 + 122799266895605113/525256206625732*e^14 - 821861625466340403/2101024826502928*e^13 - 470349985046527309/262628103312866*e^12 + 11594918079752211373/2101024826502928*e^11 + 3492404795187624679/1050512413251464*e^10 - 55785142077033301045/2101024826502928*e^9 + 15628992109733564891/1050512413251464*e^8 + 25018812196146963299/525256206625732*e^7 - 8054361625569842368/131314051656433*e^6 - 5689544017302583347/525256206625732*e^5 + 28100462954609846803/525256206625732*e^4 - 55529278229949477577/2101024826502928*e^3 + 93971793609290446/131314051656433*e^2 + 946203519925749351/525256206625732*e - 27284448046340883/131314051656433, -4023246398341703/5252562066257320*e^17 + 12206401782826311/2626281033128660*e^16 + 1742662198802076/131314051656433*e^15 - 167093763340621721/1313140516564330*e^14 + 33023265412759119/5252562066257320*e^13 + 839962655989655839/656570258282165*e^12 - 7030153482784368337/5252562066257320*e^11 - 15213505098614494499/2626281033128660*e^10 + 49846314961368635913/5252562066257320*e^9 + 30209574441039468673/2626281033128660*e^8 - 6991985397808639839/262628103312866*e^7 - 4231684926763917964/656570258282165*e^6 + 41566092313678262299/1313140516564330*e^5 - 6381132778119054007/1313140516564330*e^4 - 72237495197370776963/5252562066257320*e^3 + 2805792410243513374/656570258282165*e^2 + 1332814061258813561/1313140516564330*e - 145217933738073972/656570258282165, 1369383783946052/656570258282165*e^17 - 42736146056899777/2626281033128660*e^16 - 1504596756472141/131314051656433*e^15 + 255150832136098946/656570258282165*e^14 - 421714671278770981/656570258282165*e^13 - 7711623107111255807/2626281033128660*e^12 + 11908670032548365221/1313140516564330*e^11 + 13179567067713492173/2626281033128660*e^10 - 28266491416002133912/656570258282165*e^9 + 70921045300478236059/2626281033128660*e^8 + 9686726140096346869/131314051656433*e^7 - 69271897536139300772/656570258282165*e^6 - 4038242169495865014/656570258282165*e^5 + 58015409475381626437/656570258282165*e^4 - 34838429781137563388/656570258282165*e^3 + 12165262856883749543/2626281033128660*e^2 + 4736158350301629013/1313140516564330*e - 355312463443487646/656570258282165, 4371476418964197/5252562066257320*e^17 - 14209148232537529/2626281033128660*e^16 - 1508330444406341/131314051656433*e^15 + 184498466055649159/1313140516564330*e^14 - 420320140885240461/5252562066257320*e^13 - 842278771520354416/656570258282165*e^12 + 10863836003482487643/5252562066257320*e^11 + 12357962669536130181/2626281033128660*e^10 - 63285390976711612947/5252562066257320*e^9 - 11645545885181073487/2626281033128660*e^8 + 7270021450141801575/262628103312866*e^7 - 6208945128457564954/656570258282165*e^6 - 28929859950211301471/1313140516564330*e^5 + 19623560049315621113/1313140516564330*e^4 + 10998062391538409377/5252562066257320*e^3 - 1473924575906374921/656570258282165*e^2 - 260778509520314539/1313140516564330*e + 33029190991447958/656570258282165, 2042608795988441/1313140516564330*e^17 - 32245216195931173/2626281033128660*e^16 - 912164193443219/131314051656433*e^15 + 189962949143811134/656570258282165*e^14 - 682648421583621123/1313140516564330*e^13 - 5539038114610935263/2626281033128660*e^12 + 4677022357745867012/656570258282165*e^11 + 7127306839044902897/2626281033128660*e^10 - 43736145785597652831/1313140516564330*e^9 + 66402965123133726391/2626281033128660*e^8 + 7285877573972305427/131314051656433*e^7 - 58971864438317439408/656570258282165*e^6 - 143306077733866366/656570258282165*e^5 + 48979629604638231323/656570258282165*e^4 - 58847224740761711059/1313140516564330*e^3 + 6784882373282067767/2626281033128660*e^2 + 4081680273672788397/1313140516564330*e - 239987578197536694/656570258282165, -3897115348555517/2626281033128660*e^17 + 29116099520806683/2626281033128660*e^16 + 1438262949962501/131314051656433*e^15 - 176675358771188359/656570258282165*e^14 + 1015881632413870281/2626281033128660*e^13 + 5559772336511504383/2626281033128660*e^12 - 15383747766517511673/2626281033128660*e^11 - 11960846505102261267/2626281033128660*e^10 + 75857698410794375727/2626281033128660*e^9 - 35572884699188394041/2626281033128660*e^8 - 6994891273888606225/131314051656433*e^7 + 41589527715253388333/656570258282165*e^6 + 10071321486792415251/656570258282165*e^5 - 37565338012247280958/656570258282165*e^4 + 68584691917806393363/2626281033128660*e^3 + 212505777959088373/2626281033128660*e^2 - 2366300191490857327/1313140516564330*e + 122102888644566864/656570258282165, -16151829792920547/10505124132514640*e^17 + 63523576742458789/5252562066257320*e^16 + 1006203784501857/131314051656433*e^15 - 755844315984514829/2626281033128660*e^14 + 5201045270600369571/10505124132514640*e^13 + 5657695338620515697/2626281033128660*e^12 - 72540949861595150693/10505124132514640*e^11 - 18088764690609962361/5252562066257320*e^10 + 344184570728987932837/10505124132514640*e^9 - 112460203770313386633/5252562066257320*e^8 - 29741070331775212859/525256206625732*e^7 + 53424383366492525937/656570258282165*e^6 + 17286969383336131971/2626281033128660*e^5 - 179670638946993750263/2626281033128660*e^4 + 403599278900548708393/10505124132514640*e^3 - 6907284136167584323/2626281033128660*e^2 - 6378939648166329941/2626281033128660*e + 205185482036521321/656570258282165, -17258596320366049/10505124132514640*e^17 + 62747570284518303/5252562066257320*e^16 + 1932911638181445/131314051656433*e^15 - 775150171686272183/2626281033128660*e^14 + 3802521262340576017/10505124132514640*e^13 + 6362450715087644179/2626281033128660*e^12 - 61974356707950757191/10505124132514640*e^11 - 33185309640175426827/5252562066257320*e^10 + 315308859351945670759/10505124132514640*e^9 - 43491485971557752051/5252562066257320*e^8 - 30542228796783880925/525256206625732*e^7 + 36619221486108410629/656570258282165*e^6 + 63060365373563630337/2626281033128660*e^5 - 140615064192606194481/2626281033128660*e^4 + 213662071397714714771/10505124132514640*e^3 + 2053587947424571199/2626281033128660*e^2 - 3454959700580280867/2626281033128660*e + 73034024282068317/656570258282165];
heckeEigenvalues := AssociativeArray();
for i := 1 to #heckeEigenvaluesArray do
  heckeEigenvalues[primes[i]] := heckeEigenvaluesArray[i];
end for;

ALEigenvalues := AssociativeArray();
ALEigenvalues[ideal<ZF | {17, 17, 1/2*w^3 - 1/2*w^2 - 5/2*w}>] := 1;

// EXAMPLE:
// pp := Factorization(2*ZF)[1][1];
// heckeEigenvalues[pp];

print "To reconstruct the Hilbert newform f, type
  f, iso := Explode(make_newform());";

function make_newform();
 M := HilbertCuspForms(F, NN);
 S := NewSubspace(M);
 // SetVerbose("ModFrmHil", 1);
 NFD := NewformDecomposition(S);
 newforms := [* Eigenform(U) : U in NFD *];

 if #newforms eq 0 then;
  print "No Hilbert newforms at this level";
  return 0;
 end if;

 print "Testing ", #newforms, " possible newforms";
 newforms := [* f: f in newforms | IsIsomorphic(BaseField(f), K) *];
 print #newforms, " newforms have the correct Hecke field";

 if #newforms eq 0 then;
  print "No Hilbert newform found with the correct Hecke field";
  return 0;
 end if;

 autos := Automorphisms(K);
 xnewforms := [* *];
 for f in newforms do;
  if K eq RationalField() then;
   Append(~xnewforms, [* f, autos[1] *]);
  else;
   flag, iso := IsIsomorphic(K,BaseField(f));
   for a in autos do;
    Append(~xnewforms, [* f, a*iso *]);
   end for;
  end if;
 end for;
 newforms := xnewforms;

 for P in primes do;
  xnewforms := [* *];
  for f_iso in newforms do;
   f, iso := Explode(f_iso);
   if HeckeEigenvalue(f,P) eq iso(heckeEigenvalues[P]) then;
    Append(~xnewforms, f_iso);
   end if;
  end for;
  newforms := xnewforms;
  if #newforms eq 0 then;
   print "No Hilbert newform found which matches the Hecke eigenvalues";
   return 0;
  else if #newforms eq 1 then;
   print "success: unique match";
   return newforms[1];
  end if;
  end if;
 end for;
 print #newforms, "Hilbert newforms found which match the Hecke eigenvalues";
 return newforms[1];

end function;