/* This code can be loaded, or copied and paste using cpaste, into Sage. It will load the data associated to the HMF, including the field, level, and Hecke and Atkin-Lehner eigenvalue data. */ P. = PolynomialRing(QQ) g = P([2, 4, -5, -1, 1]) F. = NumberField(g) ZF = F.ring_of_integers() NN = ZF.ideal([19, 19, -w^3 + 3*w - 1]) primes_array = [ [2, 2, w],\ [4, 2, -w^3 + 4*w + 1],\ [5, 5, w + 1],\ [13, 13, -w^2 + 3],\ [17, 17, -w^3 + w^2 + 3*w - 1],\ [19, 19, -w^3 + 3*w - 1],\ [23, 23, -w + 3],\ [31, 31, -w^2 - 2*w + 1],\ [41, 41, w^3 + w^2 - 5*w - 3],\ [43, 43, 2*w - 1],\ [53, 53, -w - 3],\ [53, 53, w^3 - w^2 - 4*w + 1],\ [61, 61, w^3 - 3*w - 5],\ [67, 67, w^3 + w^2 - 5*w - 1],\ [81, 3, -3],\ [83, 83, -w^3 + 5*w - 3],\ [89, 89, w^2 + 1],\ [97, 97, w^3 - w^2 - 5*w + 1],\ [97, 97, 3*w^3 - 5*w^2 - 14*w + 21],\ [97, 97, w^3 - 3*w - 3],\ [97, 97, w^3 - 7*w - 3],\ [103, 103, w^3 - w^2 - 3*w + 5],\ [107, 107, -2*w^3 + 2*w^2 + 8*w - 7],\ [109, 109, 3*w^3 - 3*w^2 - 13*w + 11],\ [113, 113, 2*w^3 - 2*w^2 - 10*w + 7],\ [113, 113, w^3 + w^2 - 5*w - 7],\ [121, 11, 2*w^2 - w - 9],\ [121, 11, 2*w^2 - w - 7],\ [125, 5, -w^3 + 2*w^2 + 3*w - 7],\ [131, 131, 4*w^3 - 5*w^2 - 18*w + 19],\ [137, 137, w^3 + w^2 - 6*w - 5],\ [137, 137, 3*w^3 - 13*w - 3],\ [139, 139, 3*w^3 - 5*w^2 - 13*w + 19],\ [149, 149, 2*w^3 - 9*w + 1],\ [163, 163, -2*w^2 + 11],\ [163, 163, -w^3 + w^2 + 6*w - 3],\ [163, 163, w^3 - 2*w^2 - 5*w + 5],\ [163, 163, 3*w^3 - 3*w^2 - 14*w + 15],\ [173, 173, 2*w^3 - 10*w + 1],\ [173, 173, 2*w^3 - 3*w^2 - 8*w + 13],\ [179, 179, 2*w^3 + w^2 - 8*w - 1],\ [181, 181, 2*w^3 - 4*w^2 - 9*w + 15],\ [193, 193, w^2 - 7],\ [199, 199, 2*w^2 - 5],\ [211, 211, -2*w^3 + 8*w - 3],\ [211, 211, -2*w^3 + w^2 + 8*w - 3],\ [223, 223, 3*w - 1],\ [223, 223, -2*w^3 - w^2 + 8*w + 5],\ [229, 229, -w^3 + 3*w^2 + 4*w - 11],\ [233, 233, -w^3 + 3*w^2 - 5],\ [233, 233, w^3 + 2*w^2 - 5*w - 3],\ [239, 239, 2*w^3 - 7*w - 1],\ [241, 241, w^3 - 2*w^2 - 3*w + 11],\ [251, 251, 2*w^2 - w - 5],\ [251, 251, 2*w^2 + 2*w - 7],\ [271, 271, -2*w^3 + 2*w^2 + 7*w - 9],\ [283, 283, 6*w^3 - 6*w^2 - 28*w + 23],\ [293, 293, 4*w^3 - 4*w^2 - 17*w + 17],\ [293, 293, 2*w^3 - 2*w^2 - 7*w + 5],\ [307, 307, 6*w^3 - 7*w^2 - 28*w + 29],\ [311, 311, w^3 - 2*w^2 - 3*w + 1],\ [311, 311, 2*w^2 - 2*w - 7],\ [311, 311, 2*w^3 - 4*w^2 - 8*w + 17],\ [311, 311, -w^3 + 3*w^2 + 4*w - 9],\ [347, 347, -w^3 - w^2 + 6*w - 1],\ [347, 347, -3*w^3 + 5*w^2 + 15*w - 21],\ [349, 349, 2*w^3 + 2*w^2 - 11*w - 7],\ [349, 349, 3*w^3 - w^2 - 15*w + 3],\ [353, 353, w^3 + w^2 - 3*w - 5],\ [353, 353, -4*w^3 + 16*w + 5],\ [361, 19, 6*w^3 - 8*w^2 - 27*w + 31],\ [367, 367, 3*w^3 - 3*w^2 - 13*w + 9],\ [367, 367, -2*w^2 - w + 9],\ [373, 373, -2*w^3 + w^2 + 10*w - 7],\ [379, 379, w^3 + 2*w^2 - 7*w - 7],\ [383, 383, -w^3 + 2*w^2 + 3*w - 9],\ [389, 389, -2*w^3 + 3*w^2 + 10*w - 9],\ [389, 389, w^2 - 2*w - 5],\ [397, 397, 2*w^3 - w^2 - 10*w - 1],\ [397, 397, w - 5],\ [409, 409, w^3 - w^2 - 6*w - 3],\ [419, 419, w^3 - 7*w + 1],\ [419, 419, -3*w^3 + 2*w^2 + 13*w - 11],\ [421, 421, w^3 + w^2 - 4*w + 3],\ [421, 421, 3*w^3 + w^2 - 14*w - 3],\ [431, 431, w^2 + 2*w - 7],\ [449, 449, w^3 + w^2 - 3*w - 9],\ [457, 457, -2*w^3 + w^2 + 8*w - 9],\ [457, 457, 2*w^3 - 2*w^2 - 7*w + 11],\ [463, 463, -w^3 - w^2 + 8*w - 3],\ [463, 463, 3*w^3 - 3*w^2 - 15*w + 13],\ [487, 487, 2*w^3 - 2*w^2 - 7*w + 1],\ [487, 487, w^2 - 2*w - 7],\ [499, 499, 3*w^3 - 3*w^2 - 12*w + 11],\ [503, 503, -3*w^3 + w^2 + 13*w + 5],\ [509, 509, -w^3 - w^2 + 7*w + 5],\ [521, 521, 2*w^3 + 2*w^2 - 9*w - 5],\ [523, 523, -2*w^2 - 1],\ [541, 541, 2*w^3 - 2*w^2 - 8*w + 3],\ [541, 541, w^3 - 2*w^2 - 7*w + 5],\ [547, 547, 3*w^3 - 4*w^2 - 13*w + 13],\ [563, 563, w^3 + 3*w^2 - 3*w - 11],\ [571, 571, -w^3 + w - 3],\ [571, 571, 2*w^3 + w^2 - 10*w - 1],\ [587, 587, 3*w^3 - 15*w + 1],\ [587, 587, 3*w^3 - w^2 - 14*w - 1],\ [593, 593, 3*w^3 - 2*w^2 - 15*w + 7],\ [593, 593, -2*w^3 + w^2 + 6*w - 1],\ [599, 599, -w^3 + w^2 + 4*w + 3],\ [599, 599, 2*w^3 + 2*w^2 - 11*w - 3],\ [607, 607, -w - 5],\ [607, 607, -w^3 + 4*w^2 + 5*w - 19],\ [613, 613, 2*w^3 + w^2 - 8*w + 1],\ [617, 617, 3*w^3 - w^2 - 12*w + 5],\ [617, 617, -2*w^3 + 12*w - 3],\ [619, 619, w^2 - 4*w - 3],\ [631, 631, -3*w^2 - 4*w + 7],\ [631, 631, -6*w^3 + 4*w^2 + 27*w - 15],\ [643, 643, -w^3 + 2*w^2 + 7*w - 7],\ [643, 643, 3*w^2 - 11],\ [647, 647, 4*w^3 - 4*w^2 - 17*w + 15],\ [653, 653, -2*w^3 - 2*w^2 + 10*w + 7],\ [653, 653, w^3 - 3*w^2 - 6*w + 7],\ [659, 659, -3*w^3 + 2*w^2 + 15*w - 11],\ [673, 673, w^3 + w^2 - 3*w - 7],\ [677, 677, w^3 - 3*w^2 - 3*w + 13],\ [677, 677, 2*w^3 - 2*w^2 - 11*w + 9],\ [709, 709, w^3 + w^2 - 2*w - 5],\ [751, 751, w^3 - 5*w^2 - 4*w + 21],\ [757, 757, -2*w^3 + 2*w^2 + 12*w - 1],\ [757, 757, -w^3 + w^2 + 2*w - 7],\ [761, 761, 4*w^3 - w^2 - 20*w + 3],\ [787, 787, 4*w + 3],\ [797, 797, 5*w^3 - 4*w^2 - 23*w + 17],\ [809, 809, -2*w^3 + 9*w - 5],\ [821, 821, 3*w^2 - 2*w - 9],\ [823, 823, -w^2 - 3],\ [863, 863, -w^3 + w^2 + 5*w - 9],\ [881, 881, -4*w^3 + 5*w^2 + 16*w - 21],\ [881, 881, -5*w^3 + 4*w^2 + 23*w - 13],\ [887, 887, 2*w^3 - 2*w^2 - 11*w + 7],\ [907, 907, -3*w^3 + 2*w^2 + 13*w - 3],\ [907, 907, 2*w^2 + 2*w - 9],\ [911, 911, -3*w^3 + w^2 + 15*w + 3],\ [919, 919, 3*w^2 - 7],\ [919, 919, 2*w^3 - 7*w + 7],\ [937, 937, 4*w^3 - 4*w^2 - 18*w + 13],\ [937, 937, 3*w^3 - w^2 - 13*w + 7],\ [977, 977, -4*w^3 + 2*w^2 + 19*w - 9],\ [983, 983, -w^3 + 4*w^2 + 5*w - 13],\ [983, 983, -2*w^3 + 2*w^2 + 9*w - 3],\ [991, 991, -w^3 + 4*w^2 + 3*w - 19],\ [991, 991, 2*w - 7],\ [1019, 1019, -5*w^3 + 5*w^2 + 23*w - 23],\ [1031, 1031, -2*w^3 + 4*w + 3],\ [1039, 1039, -3*w^3 + w^2 + 12*w - 3],\ [1051, 1051, -4*w^3 - 2*w^2 + 23*w + 9],\ [1051, 1051, 5*w^3 - 5*w^2 - 21*w + 21],\ [1051, 1051, 4*w^3 - 6*w^2 - 20*w + 23],\ [1051, 1051, 4*w^2 + 2*w - 11],\ [1061, 1061, -w^3 + 3*w^2 + 8*w - 7],\ [1061, 1061, 5*w^3 - 3*w^2 - 24*w + 13],\ [1063, 1063, -w^3 - w^2 + 8*w + 5],\ [1069, 1069, 2*w^2 - 4*w - 5],\ [1087, 1087, 2*w^3 - 2*w^2 - 10*w + 3],\ [1091, 1091, 3*w^3 - 17*w + 3],\ [1091, 1091, 3*w^3 + w^2 - 12*w - 7],\ [1093, 1093, 6*w^3 - 8*w^2 - 26*w + 29],\ [1093, 1093, 6*w^3 - 6*w^2 - 26*w + 25],\ [1093, 1093, -w^3 + 3*w^2 + 6*w - 15],\ [1093, 1093, 2*w^3 - 4*w^2 - 6*w + 13],\ [1117, 1117, 2*w^3 + w^2 - 12*w - 7],\ [1129, 1129, -w^3 + 3*w^2 + 7*w - 13],\ [1129, 1129, 2*w^2 - 3*w + 3],\ [1163, 1163, 2*w^3 + 3*w^2 - 10*w - 13],\ [1163, 1163, -2*w^3 + 2*w^2 + 6*w - 9],\ [1171, 1171, 3*w^2 - 2*w - 7],\ [1171, 1171, -3*w^3 + 11*w + 1],\ [1181, 1181, -5*w^3 + 6*w^2 + 23*w - 29],\ [1187, 1187, 4*w^3 - 2*w^2 - 20*w + 5],\ [1187, 1187, 2*w^3 - 3*w^2 - 10*w + 17],\ [1201, 1201, 5*w^3 - 3*w^2 - 22*w + 9],\ [1213, 1213, 2*w^3 + 2*w^2 - 13*w - 7],\ [1213, 1213, 3*w^3 - 11*w + 1],\ [1217, 1217, -2*w^3 + 4*w^2 + 11*w - 11],\ [1223, 1223, 2*w^3 - w^2 - 12*w + 7],\ [1223, 1223, w^3 + 2*w^2 - 5*w - 13],\ [1229, 1229, 2*w^3 - 6*w - 5],\ [1229, 1229, 3*w^3 + 2*w^2 - 11*w - 7],\ [1237, 1237, -w^3 + w^2 + w - 5],\ [1237, 1237, -2*w^3 + 10*w - 5],\ [1249, 1249, -3*w^3 + 3*w^2 + 13*w - 17],\ [1249, 1249, 2*w^3 - 12*w + 1],\ [1249, 1249, 4*w^3 - 5*w^2 - 18*w + 17],\ [1249, 1249, 4*w^3 - 3*w^2 - 18*w + 15],\ [1277, 1277, -3*w^3 + 2*w^2 + 11*w - 3],\ [1279, 1279, w^3 + w^2 - 3*w - 11],\ [1279, 1279, w^2 - 6*w - 1],\ [1279, 1279, -3*w^3 + 4*w^2 + 11*w - 9],\ [1279, 1279, 2*w^3 - 11*w + 5],\ [1283, 1283, 2*w^3 + 2*w^2 - 9*w - 1],\ [1283, 1283, -2*w^3 + 13*w - 5],\ [1291, 1291, 3*w^3 - 5*w^2 - 16*w + 19],\ [1291, 1291, -2*w^3 + 13*w + 3],\ [1301, 1301, -w^3 + 3*w^2 + 2*w - 11],\ [1301, 1301, w^3 + 3*w^2 - 7*w - 5],\ [1319, 1319, 2*w^3 - 2*w^2 - 8*w + 13],\ [1321, 1321, w^3 + 2*w^2 - 7*w - 9],\ [1321, 1321, -6*w^3 + 8*w^2 + 28*w - 37],\ [1361, 1361, -w^3 + w + 7],\ [1361, 1361, -4*w^3 + 2*w^2 + 17*w - 5],\ [1367, 1367, -w^3 + w^2 + 8*w - 1],\ [1381, 1381, 3*w^3 - w^2 - 11*w + 5],\ [1427, 1427, w^3 + 3*w^2 - 5*w - 5],\ [1427, 1427, -w^3 + 4*w^2 + 3*w - 13],\ [1427, 1427, 6*w^3 - 7*w^2 - 26*w + 33],\ [1427, 1427, -4*w^3 + w^2 + 18*w + 7],\ [1429, 1429, 3*w^3 - 3*w^2 - 17*w + 17],\ [1433, 1433, -w^3 + 5*w - 7],\ [1451, 1451, -3*w^3 + w^2 + 15*w - 7],\ [1451, 1451, -w^3 + 5*w^2 + 5*w - 19],\ [1459, 1459, -5*w + 9],\ [1471, 1471, -4*w^3 + 8*w^2 + 19*w - 29],\ [1483, 1483, w^3 + 3*w^2 - 6*w - 5],\ [1483, 1483, -3*w^3 - w^2 + 12*w - 1],\ [1487, 1487, -2*w^3 + 2*w^2 + 11*w - 15],\ [1489, 1489, 2*w^3 - 5*w^2 - 10*w + 23],\ [1493, 1493, 3*w^3 - 5*w^2 - 12*w + 25],\ [1493, 1493, 3*w^3 - 6*w^2 - 15*w + 25],\ [1499, 1499, 2*w^2 + 2*w - 13],\ [1499, 1499, w^3 + 3*w^2 - 5*w - 11],\ [1523, 1523, -w^3 + 3*w^2 + 5*w - 5],\ [1523, 1523, 4*w^3 - w^2 - 14*w + 9],\ [1523, 1523, -3*w^3 + w^2 + 14*w - 7],\ [1523, 1523, -2*w^3 + 3*w^2 + 6*w - 11],\ [1543, 1543, -w^3 + 3*w^2 + w - 9],\ [1543, 1543, -4*w^3 + 7*w^2 + 20*w - 29],\ [1559, 1559, 2*w^2 - 13],\ [1559, 1559, -4*w^2 - w + 17],\ [1571, 1571, 5*w - 3],\ [1579, 1579, 2*w^2 + 2*w - 11],\ [1579, 1579, w^3 + w^2 - 7*w - 11],\ [1583, 1583, 2*w^3 - 3*w^2 - 10*w + 7],\ [1597, 1597, -3*w^3 + w^2 + 7*w + 1],\ [1601, 1601, -5*w^3 + 3*w^2 + 23*w - 13],\ [1601, 1601, 5*w^3 - w^2 - 20*w + 9],\ [1607, 1607, 2*w^3 - w^2 - 10*w - 5],\ [1609, 1609, 3*w^3 - 8*w^2 - 13*w + 37],\ [1609, 1609, 3*w^3 - 2*w^2 - 11*w + 7],\ [1613, 1613, 2*w^3 - 4*w^2 - 12*w + 13],\ [1621, 1621, 5*w - 1],\ [1621, 1621, -2*w^3 + 5*w^2 + 8*w - 17],\ [1627, 1627, 3*w^3 + w^2 - 14*w - 1],\ [1627, 1627, -2*w^3 + 2*w^2 + 9*w + 1],\ [1637, 1637, 7*w^3 - 12*w^2 - 31*w + 49],\ [1657, 1657, -2*w^3 + 2*w^2 + 9*w - 1],\ [1657, 1657, -5*w^3 + w^2 + 21*w - 7],\ [1663, 1663, 9*w^3 - 11*w^2 - 39*w + 45],\ [1667, 1667, -4*w^3 + 3*w^2 + 16*w - 7],\ [1669, 1669, -w^3 - w^2 - w - 3],\ [1693, 1693, -3*w^3 + w^2 + 11*w - 1],\ [1693, 1693, w^3 + 2*w^2 - 11*w - 5],\ [1709, 1709, 3*w^3 + 3*w^2 - 16*w - 5],\ [1721, 1721, w^3 - 4*w^2 - 3*w + 11],\ [1747, 1747, 2*w^3 - 2*w^2 - 11*w + 1],\ [1747, 1747, w^3 + 3*w^2 - 4*w - 7],\ [1753, 1753, -6*w^3 + 6*w^2 + 28*w - 21],\ [1787, 1787, w^3 + 3*w^2 - 7*w - 13],\ [1787, 1787, -w^3 + w^2 + 8*w - 5],\ [1789, 1789, 2*w^3 + 3*w^2 - 12*w - 7],\ [1789, 1789, 4*w^2 - 15],\ [1801, 1801, w^3 + 3*w^2 - 7*w - 7],\ [1811, 1811, -3*w^3 + 2*w^2 + 11*w - 5],\ [1823, 1823, -w^3 + 3*w^2 + 6*w - 5],\ [1831, 1831, 5*w^3 - 4*w^2 - 21*w + 17],\ [1867, 1867, 3*w^3 - w^2 - 10*w + 5],\ [1871, 1871, 2*w^3 + 2*w^2 - 6*w - 7],\ [1873, 1873, -3*w^3 + 3*w^2 + 10*w - 7],\ [1879, 1879, 2*w^3 - 4*w^2 - 7*w + 17],\ [1889, 1889, 3*w^3 - 17*w - 3],\ [1907, 1907, -4*w^3 - 2*w^2 + 19*w + 5],\ [1907, 1907, 6*w^3 - 8*w^2 - 29*w + 33],\ [1913, 1913, -w^3 + w^2 + 8*w - 3],\ [1913, 1913, w^3 + 2*w^2 - 9*w + 3],\ [1933, 1933, w^2 + 4*w - 9],\ [1933, 1933, 6*w^3 - 6*w^2 - 26*w + 23],\ [1951, 1951, w^3 + 2*w^2 - 3*w - 11],\ [1951, 1951, -2*w^3 + 2*w^2 + 10*w - 1],\ [1973, 1973, -5*w^3 + 7*w^2 + 23*w - 25],\ [1979, 1979, -3*w^3 + 5*w^2 + 11*w - 19],\ [1987, 1987, 2*w^3 - 2*w^2 - 6*w + 11],\ [1993, 1993, -w^3 + 3*w - 7],\ [1993, 1993, w^3 + w^2 - 2*w - 9],\ [1997, 1997, 5*w^3 - w^2 - 19*w - 5],\ [1999, 1999, -3*w^3 + 3*w^2 + 15*w - 19],\ [2011, 2011, 5*w^3 - 6*w^2 - 23*w + 21],\ [2039, 2039, -2*w^3 + 4*w^2 + 8*w - 9],\ [2039, 2039, -3*w^3 + 4*w^2 + 11*w - 17],\ [2053, 2053, -2*w^3 + 3*w^2 + 8*w - 5],\ [2069, 2069, 5*w^3 - 6*w^2 - 21*w + 19],\ [2069, 2069, w^3 - 2*w^2 - 5*w - 3],\ [2069, 2069, 5*w^3 - 10*w^2 - 23*w + 43],\ [2069, 2069, 3*w^3 - 2*w^2 - 13*w + 1],\ [2081, 2081, 7*w^3 - 10*w^2 - 31*w + 37],\ [2081, 2081, -3*w^3 + 2*w^2 + 11*w - 15],\ [2099, 2099, -4*w^3 + 5*w^2 + 14*w - 13],\ [2111, 2111, w^3 + 3*w^2 - 6*w - 9],\ [2129, 2129, 4*w^3 - 4*w^2 - 20*w + 15],\ [2129, 2129, 4*w^2 - 3*w - 15],\ [2141, 2141, -w^3 + w^2 + w - 7],\ [2153, 2153, 7*w^3 - 11*w^2 - 30*w + 45],\ [2153, 2153, -4*w^3 + 8*w^2 + 17*w - 37],\ [2153, 2153, 4*w^3 + w^2 - 14*w - 3],\ [2153, 2153, -3*w^3 + 4*w^2 + 13*w - 11],\ [2161, 2161, 3*w^3 - 7*w^2 - 11*w + 27],\ [2179, 2179, w^3 + 3*w^2 - 5*w - 9],\ [2179, 2179, -2*w^3 + 14*w - 7],\ [2197, 13, w^3 + 3*w^2 - 6*w - 7],\ [2203, 2203, 6*w^3 - 9*w^2 - 28*w + 33],\ [2203, 2203, 3*w^3 + 3*w^2 - 13*w - 7],\ [2207, 2207, -4*w^3 + 16*w - 5],\ [2221, 2221, 5*w^3 - 3*w^2 - 21*w + 13],\ [2221, 2221, -3*w^3 + 3*w^2 + 16*w - 13],\ [2237, 2237, w^3 - w^2 - 3*w - 5],\ [2239, 2239, 3*w^3 - w^2 - 16*w + 9],\ [2239, 2239, -4*w^3 + 8*w^2 + 18*w - 31],\ [2243, 2243, -2*w^3 + 2*w^2 + 12*w - 5],\ [2251, 2251, 3*w^3 + 3*w^2 - 14*w - 7],\ [2251, 2251, 4*w^3 + 2*w^2 - 15*w - 1],\ [2267, 2267, w^3 - 5*w^2 + 15],\ [2269, 2269, 3*w^3 - 3*w^2 - 11*w + 3],\ [2273, 2273, -w^3 + 5*w^2 + 2*w - 17],\ [2281, 2281, -3*w^3 - w^2 + 11*w + 7],\ [2287, 2287, -3*w^3 + 4*w^2 + 17*w - 19],\ [2287, 2287, 4*w^2 + w - 11],\ [2287, 2287, w^3 - 5*w - 7],\ [2287, 2287, -5*w^3 + 21*w - 3],\ [2293, 2293, w^3 + w^2 - 8*w - 7],\ [2293, 2293, -2*w^3 - 2*w^2 + 7*w + 9],\ [2293, 2293, -4*w^3 + 6*w^2 + 16*w - 25],\ [2293, 2293, -5*w^3 + w^2 + 20*w - 7],\ [2309, 2309, 2*w^3 + 2*w^2 - 12*w - 1],\ [2311, 2311, -2*w^3 - w^2 + 10*w - 3],\ [2333, 2333, -5*w^3 + 7*w^2 + 25*w - 29],\ [2341, 2341, 6*w^3 - 7*w^2 - 24*w + 27],\ [2341, 2341, -w^3 + 5*w^2 + 6*w - 11],\ [2347, 2347, -5*w^3 + 7*w^2 + 23*w - 33],\ [2347, 2347, 4*w^3 - 2*w^2 - 16*w + 3],\ [2347, 2347, -6*w^3 + 8*w^2 + 26*w - 37],\ [2347, 2347, -w^3 - w^2 + 4*w - 5],\ [2351, 2351, -3*w^2 - 2*w + 13],\ [2357, 2357, 6*w^3 - 4*w^2 - 29*w + 15],\ [2357, 2357, 3*w^3 - 4*w^2 - 13*w + 21],\ [2371, 2371, 3*w^3 - 13*w + 9],\ [2371, 2371, -7*w^3 + 29*w + 9],\ [2377, 2377, w^3 - 3*w^2 - 7*w + 15],\ [2377, 2377, 4*w^3 - 6*w^2 - 21*w + 25],\ [2399, 2399, -3*w^3 + w^2 + 10*w - 1],\ [2401, 7, -7],\ [2411, 2411, 4*w^3 + w^2 - 16*w + 1],\ [2417, 2417, 3*w^3 + 2*w^2 - 15*w - 3],\ [2423, 2423, 5*w^3 + w^2 - 20*w - 3],\ [2437, 2437, -2*w^3 + 3*w^2 + 12*w - 11],\ [2437, 2437, 7*w^3 - 13*w^2 - 32*w + 55],\ [2437, 2437, -3*w^3 + w^2 + 14*w - 9],\ [2437, 2437, 3*w^3 - 3*w^2 - 9*w + 5],\ [2459, 2459, 5*w^2 - 2*w - 23],\ [2459, 2459, 5*w^3 - 4*w^2 - 23*w + 19],\ [2467, 2467, 4*w^3 + 4*w^2 - 15*w - 11],\ [2473, 2473, -w - 7],\ [2503, 2503, -4*w^3 + w^2 + 16*w - 11],\ [2521, 2521, 3*w^3 - 7*w^2 - 16*w + 27],\ [2531, 2531, -2*w^2 + w - 3],\ [2539, 2539, w^3 - 3*w^2 - 2*w + 13],\ [2543, 2543, -w^3 + 3*w^2 + 5*w - 3],\ [2549, 2549, 3*w^3 - 9*w - 5],\ [2549, 2549, -3*w^3 + w^2 + 10*w - 3],\ [2551, 2551, 2*w^3 - 4*w^2 - 9*w + 21],\ [2557, 2557, 3*w^3 - 4*w^2 - 15*w + 11],\ [2579, 2579, 6*w^3 - 8*w^2 - 27*w + 29],\ [2591, 2591, 2*w^3 - 6*w^2 - 8*w + 23],\ [2609, 2609, 6*w^3 - 5*w^2 - 26*w + 17],\ [2617, 2617, 7*w^3 - 7*w^2 - 32*w + 31],\ [2633, 2633, -5*w^3 + 3*w^2 + 22*w - 15],\ [2659, 2659, -6*w^3 - w^2 + 26*w + 13],\ [2659, 2659, w^3 + 3*w^2 - 7*w - 17],\ [2663, 2663, 2*w^3 - 2*w^2 - 12*w - 5],\ [2683, 2683, 4*w^3 - 3*w^2 - 22*w + 21],\ [2683, 2683, -w^3 + 3*w^2 + 5*w - 1],\ [2687, 2687, -w^3 - w^2 + 3*w - 5],\ [2687, 2687, -2*w^3 - w^2 + 12*w - 3],\ [2687, 2687, -3*w^3 + 5*w^2 + 15*w - 15],\ [2687, 2687, 3*w^3 + 3*w^2 - 16*w - 9],\ [2693, 2693, 2*w^3 + 3*w^2 - 10*w - 7],\ [2711, 2711, 6*w^3 - 8*w^2 - 28*w + 29],\ [2719, 2719, w^3 - 5*w^2 + w + 13],\ [2729, 2729, 4*w^3 - 3*w^2 - 16*w + 9],\ [2729, 2729, 2*w^2 + 5*w - 5],\ [2741, 2741, 3*w^3 + w^2 - 12*w + 3],\ [2741, 2741, w^3 - 9*w + 3],\ [2749, 2749, w^3 - w^2 - 4*w - 5],\ [2749, 2749, -2*w^3 + 13*w - 3],\ [2789, 2789, -3*w^3 + 4*w^2 + 11*w - 19],\ [2789, 2789, 3*w^3 - w^2 - 17*w + 11],\ [2791, 2791, 2*w^3 + 2*w^2 - 9*w - 15],\ [2791, 2791, w^3 - 9*w + 1],\ [2791, 2791, 7*w^3 - 11*w^2 - 33*w + 47],\ [2791, 2791, 3*w^3 - 17*w - 1],\ [2801, 2801, 2*w^2 - 4*w - 7],\ [2801, 2801, 3*w^3 - w^2 - 7*w + 1],\ [2803, 2803, -w^3 + 2*w^2 - w - 5],\ [2809, 53, -2*w^3 + 4*w^2 + 7*w - 7],\ [2819, 2819, 4*w^2 - 2*w - 13],\ [2833, 2833, 2*w^3 + w^2 - 6*w - 7],\ [2843, 2843, 6*w^3 - 8*w^2 - 25*w + 35],\ [2843, 2843, 4*w^3 - 2*w^2 - 19*w + 11],\ [2861, 2861, 8*w^3 - 11*w^2 - 36*w + 49],\ [2879, 2879, w^3 - w^2 - 5*w - 5],\ [2879, 2879, w^3 + w^2 - w - 13],\ [2887, 2887, 7*w^3 + 2*w^2 - 35*w - 9],\ [2887, 2887, -4*w^3 + 5*w^2 + 20*w - 15],\ [2939, 2939, 4*w^3 - 2*w^2 - 18*w + 1],\ [2939, 2939, -w^3 + w^2 + 9*w - 7],\ [2953, 2953, -5*w^3 + 9*w^2 + 22*w - 33],\ [2963, 2963, w^3 - 5*w^2 - 5*w + 17],\ [3001, 3001, 4*w^2 + w - 19],\ [3037, 3037, w^3 + w^2 - 7],\ [3037, 3037, w^3 + 4*w^2 - 9*w - 9],\ [3041, 3041, -5*w^3 + 7*w^2 + 22*w - 33],\ [3041, 3041, -4*w^3 - w^2 + 16*w + 9],\ [3041, 3041, -2*w^3 - 4*w^2 + 14*w + 13],\ [3041, 3041, -2*w^3 + 3*w^2 + 6*w - 13],\ [3049, 3049, -w^3 + 3*w^2 + 7*w - 3],\ [3067, 3067, w^3 + w^2 - 4*w - 11],\ [3067, 3067, -3*w^3 + 6*w^2 + 13*w - 29],\ [3079, 3079, 2*w^3 + 5*w^2 - 6*w - 17],\ [3079, 3079, 2*w^3 + 3*w^2 - 10*w - 9],\ [3079, 3079, w^3 + 3*w^2 - 7*w - 15],\ [3079, 3079, -5*w^3 + w^2 + 21*w + 9],\ [3089, 3089, -4*w^3 + w^2 + 16*w - 3],\ [3089, 3089, 5*w^3 - 2*w^2 - 25*w + 5],\ [3109, 3109, -w^2 - 5],\ [3109, 3109, w^2 - 2*w - 11],\ [3119, 3119, 5*w^3 - 9*w^2 - 24*w + 31],\ [3119, 3119, 2*w^3 - 4*w - 5],\ [3137, 3137, -w^3 + 3*w^2 + 2*w - 15],\ [3167, 3167, -2*w^3 - 2*w^2 + 15*w + 7],\ [3167, 3167, 4*w^3 - 4*w^2 - 21*w + 19],\ [3169, 3169, -5*w^2 - 4*w + 9],\ [3181, 3181, -3*w^3 + 2*w^2 + 9*w - 3],\ [3187, 3187, -4*w^3 + 2*w^2 + 16*w - 7],\ [3187, 3187, 2*w^3 + 2*w^2 - 10*w + 1],\ [3191, 3191, -5*w^3 + 4*w^2 + 23*w - 23],\ [3191, 3191, 5*w^3 + w^2 - 18*w - 5],\ [3203, 3203, -2*w^3 + 6*w^2 + 10*w - 27],\ [3229, 3229, 4*w^3 + w^2 - 18*w - 1],\ [3229, 3229, 7*w^3 - 5*w^2 - 31*w + 17],\ [3257, 3257, 5*w^3 - 11*w^2 - 23*w + 47],\ [3271, 3271, 6*w^3 - 11*w^2 - 30*w + 43],\ [3271, 3271, 6*w - 1],\ [3271, 3271, -5*w^3 - w^2 + 21*w + 11],\ [3271, 3271, 2*w^3 - 13*w + 1],\ [3299, 3299, -w^3 + 3*w^2 + 8*w - 15],\ [3299, 3299, -2*w^2 + 6*w + 5],\ [3301, 3301, -8*w^3 - w^2 + 34*w + 13],\ [3307, 3307, -w^3 + 2*w^2 + 9*w - 3],\ [3307, 3307, -8*w^3 + 6*w^2 + 35*w - 25],\ [3313, 3313, 6*w^3 - 6*w^2 - 25*w + 31],\ [3323, 3323, -6*w^3 + w^2 + 26*w - 3],\ [3323, 3323, -2*w^2 - 3*w + 15],\ [3347, 3347, 2*w^3 - 6*w^2 - 5*w + 17],\ [3373, 3373, 4*w^3 - 4*w^2 - 18*w + 11],\ [3373, 3373, 4*w^3 - 6*w^2 - 20*w + 19],\ [3389, 3389, 4*w^2 - 11],\ [3389, 3389, 3*w^3 - 7*w^2 - 15*w + 21],\ [3391, 3391, 4*w^3 - 15*w + 1],\ [3391, 3391, 4*w^3 - 7*w^2 - 16*w + 29],\ [3433, 3433, -5*w^2 + 2*w + 19],\ [3433, 3433, -w^3 + 4*w^2 + 7*w - 17],\ [3449, 3449, 2*w^2 - 3*w - 11],\ [3449, 3449, 3*w^3 - w^2 - 15*w - 7],\ [3463, 3463, 4*w^2 - w - 13],\ [3463, 3463, -5*w^3 - 3*w^2 + 23*w + 7],\ [3467, 3467, 3*w^3 + 2*w^2 - 13*w - 1],\ [3469, 3469, 4*w^2 - 3*w - 9],\ [3491, 3491, w^3 - 5*w^2 - 7*w + 11],\ [3499, 3499, 5*w^3 - 2*w^2 - 23*w + 1],\ [3499, 3499, -8*w^3 + 9*w^2 + 34*w - 37],\ [3511, 3511, w^3 - 5*w^2 - 8*w + 11],\ [3511, 3511, -2*w^3 + 6*w^2 + 4*w - 13],\ [3517, 3517, w^3 + 4*w^2 - 3*w - 9],\ [3527, 3527, w^2 - 4*w - 7],\ [3529, 3529, -8*w^3 + 10*w^2 + 38*w - 39],\ [3529, 3529, 2*w^3 - 5*w - 7],\ [3539, 3539, 6*w^3 - 4*w^2 - 28*w + 11],\ [3539, 3539, 4*w^2 - w - 9],\ [3541, 3541, 6*w^3 - 23*w - 9],\ [3547, 3547, -3*w^3 - 2*w^2 + 11*w + 9],\ [3557, 3557, -3*w^3 + 2*w^2 + 15*w + 3],\ [3571, 3571, 3*w^3 - w^2 - 15*w + 11],\ [3581, 3581, 6*w^3 - 2*w^2 - 28*w + 1],\ [3593, 3593, 5*w^3 - w^2 - 24*w + 5],\ [3593, 3593, -2*w^3 + 3*w^2 + 4*w - 9],\ [3607, 3607, 3*w^3 - 4*w^2 - 17*w + 11],\ [3607, 3607, -w^3 - 5*w^2 + 6*w + 21],\ [3617, 3617, 2*w^3 + 4*w^2 - 7*w - 7],\ [3617, 3617, 2*w^2 + 4*w - 11],\ [3623, 3623, -5*w^3 + 4*w^2 + 25*w - 17],\ [3631, 3631, 8*w^3 - 14*w^2 - 36*w + 57],\ [3631, 3631, -2*w^3 + 4*w^2 + 13*w - 7],\ [3637, 3637, 6*w^3 - 3*w^2 - 26*w + 7],\ [3637, 3637, w^3 + 2*w^2 - w - 9],\ [3659, 3659, 4*w^3 - 4*w^2 - 14*w + 13],\ [3677, 3677, -w^3 + w^2 + 3*w - 11],\ [3691, 3691, -4*w^3 + 5*w^2 + 14*w - 19],\ [3697, 3697, -4*w^3 + 18*w - 3],\ [3719, 3719, w^3 + 5*w^2 - 2*w - 9],\ [3733, 3733, 3*w^2 + 2*w - 15],\ [3733, 3733, -5*w^3 + 5*w^2 + 22*w - 15],\ [3767, 3767, w^3 + w^2 - w - 9],\ [3767, 3767, -3*w^3 + 3*w^2 + 13*w - 5],\ [3793, 3793, 2*w^2 + 3*w - 13],\ [3793, 3793, 5*w^3 - 3*w^2 - 25*w + 9],\ [3797, 3797, -9*w^3 - w^2 + 39*w + 15],\ [3797, 3797, 4*w^3 - 6*w^2 - 21*w + 21],\ [3803, 3803, -6*w^3 + 4*w^2 + 26*w - 15],\ [3803, 3803, 2*w - 9],\ [3823, 3823, -5*w^3 + 10*w^2 + 23*w - 39],\ [3833, 3833, w^3 + w^2 - 5*w - 11],\ [3847, 3847, 3*w^3 - 5*w^2 - 11*w + 21],\ [3851, 3851, 4*w^2 - 2*w - 9],\ [3851, 3851, -2*w^3 + 6*w^2 + 9*w - 21],\ [3853, 3853, -w^3 + w^2 + 7*w - 13],\ [3863, 3863, 4*w^3 - 6*w^2 - 18*w + 19],\ [3881, 3881, -4*w^3 + 14*w + 7],\ [3889, 3889, -3*w^3 + w^2 + 12*w - 13],\ [3889, 3889, -4*w^3 + 2*w^2 + 21*w - 9],\ [3889, 3889, 5*w^3 - 6*w^2 - 25*w + 25],\ [3889, 3889, 3*w^3 - 7*w^2 - 12*w + 21],\ [3907, 3907, -3*w^3 + 9*w^2 + 14*w - 39],\ [3917, 3917, 3*w^3 + 3*w^2 - 13*w - 17],\ [3917, 3917, 9*w^3 - 11*w^2 - 40*w + 41],\ [3917, 3917, -w^3 + w^2 + 4*w - 11],\ [3917, 3917, 3*w^3 - 3*w^2 - 11*w - 1],\ [3923, 3923, -2*w^3 + 4*w^2 + 12*w - 21],\ [3923, 3923, w^3 + 3*w^2 - 11*w - 7],\ [3931, 3931, -3*w^3 + 19*w - 7],\ [3947, 3947, -4*w^3 + 4*w^2 + 22*w - 9],\ [3947, 3947, -5*w^3 - w^2 + 17*w + 7],\ [3947, 3947, -w^3 - 4*w^2 + 3*w + 17],\ [3947, 3947, -2*w^3 - 4*w^2 + 12*w + 3]] primes = [ZF.ideal(I) for I in primes_array] heckePol = x^13 - 7*x^12 + 5*x^11 + 63*x^10 - 125*x^9 - 142*x^8 + 470*x^7 + 21*x^6 - 609*x^5 + 147*x^4 + 240*x^3 - 32*x^2 - 36*x - 4 K. = NumberField(heckePol) hecke_eigenvalues_array = [e, -1/2*e^10 + 2*e^9 + 7/2*e^8 - 20*e^7 - 3/2*e^6 + 121/2*e^5 - 35/2*e^4 - 65*e^3 + 41/2*e^2 + 15*e, e^11 - 5*e^10 - 4*e^9 + 50*e^8 - 28*e^7 - 152*e^6 + 133*e^5 + 168*e^4 - 149*e^3 - 48*e^2 + 30*e + 8, -3/2*e^12 + 19/2*e^11 - 5/2*e^10 - 179/2*e^9 + 267/2*e^8 + 234*e^7 - 513*e^6 - 321/2*e^5 + 1247/2*e^4 - 93/2*e^3 - 175*e^2 + 2*e + 8, -e^7 + 3*e^6 + 7*e^5 - 24*e^4 - 7*e^3 + 42*e^2 - 4*e - 6, -1, -e^10 + 4*e^9 + 8*e^8 - 43*e^7 - 11*e^6 + 146*e^5 - 19*e^4 - 179*e^3 + 25*e^2 + 48*e + 8, e^11 - 4*e^10 - 8*e^9 + 43*e^8 + 11*e^7 - 145*e^6 + 18*e^5 + 170*e^4 - 19*e^3 - 28*e^2 - 15*e - 4, -e^12 + 7*e^11 - 4*e^10 - 66*e^9 + 114*e^8 + 175*e^7 - 426*e^6 - 139*e^5 + 513*e^4 + 15*e^3 - 126*e^2 - 24*e - 2, -e^11 + 5*e^10 + 4*e^9 - 51*e^8 + 30*e^7 + 162*e^6 - 150*e^5 - 199*e^4 + 187*e^3 + 85*e^2 - 54*e - 16, 2*e^12 - 13*e^11 + 7*e^10 + 114*e^9 - 214*e^8 - 230*e^7 + 789*e^6 - 83*e^5 - 940*e^4 + 434*e^3 + 276*e^2 - 110*e - 32, -e^10 + 2*e^9 + 14*e^8 - 26*e^7 - 67*e^6 + 112*e^5 + 128*e^4 - 176*e^3 - 94*e^2 + 76*e + 24, e^11 - 4*e^10 - 8*e^9 + 42*e^8 + 15*e^7 - 141*e^6 - 12*e^5 + 186*e^4 + 22*e^3 - 69*e^2 - 2*e, -3/2*e^12 + 23/2*e^11 - 27/2*e^10 - 187/2*e^9 + 483/2*e^8 + 135*e^7 - 830*e^6 + 511/2*e^5 + 1915/2*e^4 - 1107/2*e^3 - 277*e^2 + 150*e + 38, 3/2*e^12 - 17/2*e^11 - 5/2*e^10 + 175/2*e^9 - 175/2*e^8 - 286*e^7 + 403*e^6 + 773/2*e^5 - 1173/2*e^4 - 449/2*e^3 + 247*e^2 + 40*e - 12, -e^12 + 9*e^11 - 16*e^10 - 66*e^9 + 230*e^8 + 33*e^7 - 754*e^6 + 421*e^5 + 828*e^4 - 653*e^3 - 199*e^2 + 132*e + 24, -5/2*e^12 + 37/2*e^11 - 37/2*e^10 - 313/2*e^9 + 735/2*e^8 + 274*e^7 - 1306*e^6 + 515/2*e^5 + 3125/2*e^4 - 1471/2*e^3 - 479*e^2 + 180*e + 52, -2*e^11 + 9*e^10 + 10*e^9 - 88*e^8 + 35*e^7 + 256*e^6 - 199*e^5 - 261*e^4 + 230*e^3 + 56*e^2 - 50*e - 6, 2*e^12 - 15*e^11 + 16*e^10 + 125*e^9 - 306*e^8 - 200*e^7 + 1079*e^6 - 292*e^5 - 1275*e^4 + 704*e^3 + 382*e^2 - 176*e - 50, -2*e^12 + 14*e^11 - 11*e^10 - 121*e^9 + 255*e^8 + 230*e^7 - 917*e^6 + 143*e^5 + 1076*e^4 - 525*e^3 - 296*e^2 + 132*e + 30, 2*e^11 - 11*e^10 - 4*e^9 + 109*e^8 - 101*e^7 - 327*e^6 + 433*e^5 + 363*e^4 - 540*e^3 - 130*e^2 + 154*e + 32, -e^12 + 7*e^11 - 5*e^10 - 61*e^9 + 117*e^8 + 130*e^7 - 397*e^6 - 26*e^5 + 422*e^4 - 87*e^3 - 75*e^2 + 4*e - 2, -e^12 + 5*e^11 + 7*e^10 - 62*e^9 + 6*e^8 + 277*e^7 - 119*e^6 - 573*e^5 + 257*e^4 + 518*e^3 - 152*e^2 - 115*e - 8, e^12 - 8*e^11 + 10*e^10 + 67*e^9 - 175*e^8 - 116*e^7 + 627*e^6 - 98*e^5 - 813*e^4 + 285*e^3 + 334*e^2 - 86*e - 38, 2*e^12 - 14*e^11 + 8*e^10 + 132*e^9 - 228*e^8 - 351*e^7 + 857*e^6 + 281*e^5 - 1066*e^4 - 9*e^3 + 321*e^2 + 13*e - 8, -3*e^12 + 23*e^11 - 26*e^10 - 191*e^9 + 478*e^8 + 303*e^7 - 1668*e^6 + 445*e^5 + 1938*e^4 - 1065*e^3 - 535*e^2 + 263*e + 64, e^10 - 4*e^9 - 8*e^8 + 43*e^7 + 11*e^6 - 147*e^5 + 21*e^4 + 187*e^3 - 38*e^2 - 60*e + 6, 2*e^12 - 15*e^11 + 15*e^10 + 130*e^9 - 298*e^8 - 257*e^7 + 1062*e^6 - 78*e^5 - 1244*e^4 + 395*e^3 + 308*e^2 - 60*e - 20, 3*e^12 - 22*e^11 + 19*e^10 + 194*e^9 - 410*e^8 - 405*e^7 + 1470*e^6 - 61*e^5 - 1717*e^4 + 579*e^3 + 432*e^2 - 98*e - 28, -e^12 + 4*e^11 + 9*e^10 - 47*e^9 - 20*e^8 + 192*e^7 - e^6 - 349*e^5 + 37*e^4 + 268*e^3 - 18*e^2 - 54*e - 12, -2*e^12 + 13*e^11 - 3*e^10 - 128*e^9 + 177*e^8 + 383*e^7 - 699*e^6 - 449*e^5 + 899*e^4 + 235*e^3 - 296*e^2 - 78*e + 14, -3*e^11 + 15*e^10 + 12*e^9 - 150*e^8 + 86*e^7 + 450*e^6 - 413*e^5 - 457*e^4 + 462*e^3 + 62*e^2 - 84*e + 2, 2*e^11 - 10*e^10 - 9*e^9 + 105*e^8 - 54*e^7 - 347*e^6 + 304*e^5 + 433*e^4 - 409*e^3 - 165*e^2 + 116*e + 24, -e^12 + 10*e^11 - 21*e^10 - 69*e^9 + 281*e^8 - 15*e^7 - 912*e^6 + 671*e^5 + 1001*e^4 - 1025*e^3 - 270*e^2 + 266*e + 62, -3/2*e^12 + 21/2*e^11 - 17/2*e^10 - 179/2*e^9 + 375/2*e^8 + 173*e^7 - 640*e^6 + 69/2*e^5 + 1359/2*e^4 - 405/2*e^3 - 97*e^2 + 4*e - 6, 4*e^12 - 28*e^11 + 23*e^10 + 238*e^9 - 518*e^8 - 418*e^7 + 1846*e^6 - 420*e^5 - 2139*e^4 + 1186*e^3 + 570*e^2 - 268*e - 64, -2*e^11 + 9*e^10 + 12*e^9 - 94*e^8 + 21*e^7 + 300*e^6 - 180*e^5 - 313*e^4 + 207*e^3 + 12*e^2 - 16*e + 12, -e^9 + 4*e^8 + 7*e^7 - 41*e^6 + 127*e^4 - 58*e^3 - 132*e^2 + 74*e + 28, e^11 - 8*e^10 + 10*e^9 + 69*e^8 - 176*e^7 - 144*e^6 + 629*e^5 + 38*e^4 - 772*e^3 + 27*e^2 + 208*e + 40, -3*e^12 + 18*e^11 - 2*e^10 - 167*e^9 + 230*e^8 + 419*e^7 - 875*e^6 - 234*e^5 + 1019*e^4 - 169*e^3 - 260*e^2 + 20*e + 18, -4*e^12 + 25*e^11 - 9*e^10 - 222*e^9 + 371*e^8 + 474*e^7 - 1364*e^6 + 44*e^5 + 1566*e^4 - 684*e^3 - 401*e^2 + 154*e + 40, 3*e^12 - 20*e^11 + 14*e^10 + 168*e^9 - 352*e^8 - 276*e^7 + 1251*e^6 - 386*e^5 - 1422*e^4 + 982*e^3 + 378*e^2 - 256*e - 64, -e^12 + 5*e^11 + 3*e^10 - 47*e^9 + 36*e^8 + 124*e^7 - 142*e^6 - 95*e^5 + 111*e^4 - 10*e^3 + 48*e^2 - 10, e^12 - 5*e^11 - 2*e^10 + 43*e^9 - 44*e^8 - 83*e^7 + 156*e^6 - 31*e^5 - 115*e^4 + 132*e^3 - 34*e^2 - 2*e, -3*e^12 + 21*e^11 - 16*e^10 - 184*e^9 + 375*e^8 + 387*e^7 - 1348*e^6 - 2*e^5 + 1614*e^4 - 436*e^3 - 478*e^2 + 102*e + 32, e^12 - 5*e^11 - 6*e^10 + 58*e^9 - 10*e^8 - 242*e^7 + 90*e^6 + 494*e^5 - 117*e^4 - 476*e^3 - 9*e^2 + 132*e + 32, -2*e^12 + 15*e^11 - 16*e^10 - 124*e^9 + 302*e^8 + 194*e^7 - 1045*e^6 + 292*e^5 + 1206*e^4 - 687*e^3 - 359*e^2 + 156*e + 52, 2*e^12 - 16*e^11 + 19*e^10 + 138*e^9 - 343*e^8 - 265*e^7 + 1232*e^6 - 126*e^5 - 1515*e^4 + 499*e^3 + 475*e^2 - 104*e - 44, e^12 - 5*e^11 - 5*e^10 + 53*e^9 - 15*e^8 - 193*e^7 + 79*e^6 + 353*e^5 - 73*e^4 - 348*e^3 - 3*e^2 + 136*e + 14, -3*e^12 + 20*e^11 - 9*e^10 - 188*e^9 + 313*e^8 + 488*e^7 - 1202*e^6 - 321*e^5 + 1515*e^4 - 127*e^3 - 482*e^2 + 40*e + 26, -e^12 + 5*e^11 + 3*e^10 - 46*e^9 + 37*e^8 + 109*e^7 - 160*e^6 - 19*e^5 + 208*e^4 - 156*e^3 - 119*e^2 + 77*e + 32, 3*e^12 - 23*e^11 + 26*e^10 + 192*e^9 - 482*e^8 - 307*e^7 + 1697*e^6 - 459*e^5 - 1970*e^4 + 1091*e^3 + 502*e^2 - 250*e - 52, 4*e^12 - 23*e^11 - 3*e^10 + 221*e^9 - 251*e^8 - 609*e^7 + 998*e^6 + 510*e^5 - 1149*e^4 + 4*e^3 + 241*e^2 + 19*e, 2*e^12 - 12*e^11 + e^10 + 113*e^9 - 148*e^8 - 306*e^7 + 554*e^6 + 294*e^5 - 607*e^4 - 136*e^3 + 73*e^2 + 94*e + 28, -4*e^11 + 19*e^10 + 20*e^9 - 194*e^8 + 76*e^7 + 609*e^6 - 444*e^5 - 687*e^4 + 531*e^3 + 166*e^2 - 116*e - 4, -e^12 + 9*e^11 - 19*e^10 - 51*e^9 + 242*e^8 - 113*e^7 - 681*e^6 + 845*e^5 + 521*e^4 - 1099*e^3 + 62*e^2 + 241*e + 8, -e^12 + 9*e^11 - 17*e^10 - 63*e^9 + 241*e^8 - e^7 - 795*e^6 + 549*e^5 + 898*e^4 - 848*e^3 - 264*e^2 + 240*e + 52, 7/2*e^12 - 47/2*e^11 + 25/2*e^10 + 433/2*e^9 - 769/2*e^8 - 530*e^7 + 1458*e^6 + 501/2*e^5 - 3653/2*e^4 + 537/2*e^3 + 581*e^2 - 52*e - 32, -3/2*e^12 + 17/2*e^11 + 3/2*e^10 - 163/2*e^9 + 183/2*e^8 + 222*e^7 - 381*e^6 - 337/2*e^5 + 1015/2*e^4 - 115/2*e^3 - 227*e^2 + 48*e + 40, e^11 - 3*e^10 - 12*e^9 + 35*e^8 + 53*e^7 - 130*e^6 - 125*e^5 + 159*e^4 + 183*e^3 - 7*e^2 - 108*e - 20, 5/2*e^12 - 31/2*e^11 + 5/2*e^10 + 295/2*e^9 - 405/2*e^8 - 402*e^7 + 773*e^6 + 705/2*e^5 - 1793/2*e^4 - 133/2*e^3 + 187*e^2 + 48*e + 10, -3/2*e^12 + 23/2*e^11 - 17/2*e^10 - 231/2*e^9 + 421/2*e^8 + 355*e^7 - 840*e^6 - 845/2*e^5 + 2247/2*e^4 + 501/2*e^3 - 345*e^2 - 120*e + 6, 3*e^12 - 18*e^11 + 4*e^10 + 158*e^9 - 245*e^8 - 319*e^7 + 888*e^6 - 127*e^5 - 959*e^4 + 665*e^3 + 194*e^2 - 192*e - 24, 7/2*e^12 - 45/2*e^11 + 17/2*e^10 + 411/2*e^9 - 657/2*e^8 - 504*e^7 + 1196*e^6 + 603/2*e^5 - 2735/2*e^4 + 209/2*e^3 + 323*e^2 + 10*e - 10, 2*e^12 - 12*e^11 + e^10 + 113*e^9 - 156*e^8 - 286*e^7 + 629*e^6 + 121*e^5 - 818*e^4 + 242*e^3 + 316*e^2 - 88*e - 40, 4*e^12 - 27*e^11 + 19*e^10 + 230*e^9 - 468*e^8 - 423*e^7 + 1633*e^6 - 266*e^5 - 1767*e^4 + 880*e^3 + 305*e^2 - 146*e - 8, -e^12 + 7*e^11 - 8*e^10 - 48*e^9 + 138*e^8 - 7*e^7 - 402*e^6 + 422*e^5 + 292*e^4 - 602*e^3 + 65*e^2 + 118*e + 4, -5/2*e^12 + 27/2*e^11 + 19/2*e^10 - 297/2*e^9 + 177/2*e^8 + 556*e^7 - 467*e^6 - 1917/2*e^5 + 1313/2*e^4 + 1591/2*e^3 - 191*e^2 - 234*e - 28, 9*e^12 - 58*e^11 + 24*e^10 + 525*e^9 - 883*e^8 - 1202*e^7 + 3270*e^6 + 227*e^5 - 3797*e^4 + 1189*e^3 + 919*e^2 - 249*e - 64, e^12 - 8*e^11 + 11*e^10 + 62*e^9 - 181*e^8 - 57*e^7 + 604*e^6 - 317*e^5 - 624*e^4 + 540*e^3 + 61*e^2 - 90*e + 4, -1/2*e^12 + 7/2*e^11 - 7/2*e^10 - 53/2*e^9 + 129/2*e^8 + 27*e^7 - 193*e^6 + 187/2*e^5 + 317/2*e^4 - 305/2*e^3 + 11*e^2 + 24*e, -e^12 + 2*e^11 + 24*e^10 - 58*e^9 - 161*e^8 + 446*e^7 + 376*e^6 - 1260*e^5 - 288*e^4 + 1344*e^3 + 28*e^2 - 348*e - 40, 2*e^12 - 12*e^11 + 2*e^10 + 107*e^9 - 148*e^8 - 251*e^7 + 493*e^6 + 151*e^5 - 411*e^4 - 2*e^3 - 92*e^2 + 57*e + 48, 2*e^12 - 16*e^11 + 19*e^10 + 134*e^9 - 334*e^8 - 223*e^7 + 1152*e^6 - 272*e^5 - 1334*e^4 + 718*e^3 + 399*e^2 - 203*e - 60, e^12 - 11*e^11 + 27*e^10 + 68*e^9 - 331*e^8 + 82*e^7 + 999*e^6 - 857*e^5 - 934*e^4 + 1109*e^3 + 51*e^2 - 220*e - 2, -4*e^12 + 29*e^11 - 26*e^10 - 249*e^9 + 547*e^8 + 471*e^7 - 1922*e^6 + 244*e^5 + 2157*e^4 - 890*e^3 - 428*e^2 + 139*e + 16, -4*e^12 + 28*e^11 - 23*e^10 - 239*e^9 + 515*e^8 + 443*e^7 - 1825*e^6 + 269*e^5 + 2114*e^4 - 940*e^3 - 559*e^2 + 231*e + 48, 8*e^12 - 51*e^11 + 18*e^10 + 466*e^9 - 748*e^8 - 1110*e^7 + 2772*e^6 + 417*e^5 - 3168*e^4 + 702*e^3 + 666*e^2 - 72*e - 6, 6*e^12 - 37*e^11 + 9*e^10 + 337*e^9 - 509*e^8 - 797*e^7 + 1896*e^6 + 273*e^5 - 2213*e^4 + 628*e^3 + 623*e^2 - 194*e - 64, 4*e^12 - 28*e^11 + 20*e^10 + 249*e^9 - 487*e^8 - 549*e^7 + 1750*e^6 + 88*e^5 - 2040*e^4 + 484*e^3 + 517*e^2 - 66*e - 24, e^12 - 4*e^11 - 10*e^10 + 52*e^9 + 23*e^8 - 233*e^7 + 20*e^6 + 431*e^5 - 51*e^4 - 320*e^3 - 57*e^2 + 72*e + 34, -e^12 + 5*e^11 + 5*e^10 - 54*e^9 + 17*e^8 + 200*e^7 - 88*e^6 - 360*e^5 + 45*e^4 + 345*e^3 + 102*e^2 - 140*e - 40, 5/2*e^12 - 37/2*e^11 + 37/2*e^10 + 309/2*e^9 - 717/2*e^8 - 265*e^7 + 1226*e^6 - 453/2*e^5 - 2741/2*e^4 + 1225/2*e^3 + 335*e^2 - 92*e - 30, 2*e^12 - 15*e^11 + 15*e^10 + 128*e^9 - 292*e^8 - 244*e^7 + 1019*e^6 - 88*e^5 - 1196*e^4 + 399*e^3 + 344*e^2 - 96*e - 26, -5*e^12 + 29*e^11 + 5*e^10 - 288*e^9 + 307*e^8 + 872*e^7 - 1262*e^6 - 1021*e^5 + 1513*e^4 + 520*e^3 - 310*e^2 - 208*e - 36, -1/2*e^12 + 1/2*e^11 + 27/2*e^10 - 47/2*e^9 - 199/2*e^8 + 212*e^7 + 256*e^6 - 1337/2*e^5 - 355/2*e^4 + 1509/2*e^3 - 69*e^2 - 160*e + 2, e^12 - 13*e^11 + 37*e^10 + 79*e^9 - 444*e^8 + 127*e^7 + 1408*e^6 - 1186*e^5 - 1463*e^4 + 1592*e^3 + 215*e^2 - 343*e - 36, -3*e^11 + 16*e^10 + 10*e^9 - 166*e^8 + 118*e^7 + 532*e^6 - 573*e^5 - 608*e^4 + 726*e^3 + 164*e^2 - 192*e - 38, -2*e^11 + 9*e^10 + 14*e^9 - 96*e^8 - 7*e^7 + 326*e^6 - 61*e^5 - 415*e^4 + 66*e^3 + 118*e^2 - 28*e + 8, 4*e^12 - 30*e^11 + 35*e^10 + 238*e^9 - 631*e^8 - 287*e^7 + 2155*e^6 - 888*e^5 - 2449*e^4 + 1676*e^3 + 686*e^2 - 377*e - 96, -2*e^12 + 12*e^11 - 113*e^9 + 132*e^8 + 303*e^7 - 464*e^6 - 269*e^5 + 403*e^4 + 86*e^3 + 76*e^2 - 92*e - 32, -5*e^12 + 28*e^11 + 10*e^10 - 285*e^9 + 262*e^8 + 903*e^7 - 1150*e^6 - 1130*e^5 + 1411*e^4 + 608*e^3 - 254*e^2 - 206*e - 64, -5*e^12 + 32*e^11 - 14*e^10 - 286*e^9 + 500*e^8 + 620*e^7 - 1862*e^6 + 39*e^5 + 2194*e^4 - 876*e^3 - 562*e^2 + 200*e + 40, 2*e^12 - 12*e^11 - 2*e^10 + 125*e^9 - 129*e^8 - 419*e^7 + 557*e^6 + 600*e^5 - 708*e^4 - 417*e^3 + 144*e^2 + 143*e + 36, 4*e^12 - 23*e^11 - 6*e^10 + 231*e^9 - 226*e^8 - 708*e^7 + 952*e^6 + 804*e^5 - 1152*e^4 - 305*e^3 + 260*e^2 + 97*e + 20, -3*e^12 + 27*e^11 - 41*e^10 - 227*e^9 + 639*e^8 + 402*e^7 - 2226*e^6 + 278*e^5 + 2700*e^4 - 816*e^3 - 845*e^2 + 154*e + 76, -e^12 + 9*e^11 - 16*e^10 - 64*e^9 + 226*e^8 + 8*e^7 - 713*e^6 + 529*e^5 + 708*e^4 - 846*e^3 - 108*e^2 + 252*e + 24, -7*e^12 + 50*e^11 - 40*e^10 - 441*e^9 + 913*e^8 + 922*e^7 - 3300*e^6 + 130*e^5 + 3891*e^4 - 1301*e^3 - 1021*e^2 + 224*e + 80, 2*e^12 - 18*e^11 + 31*e^10 + 141*e^9 - 464*e^8 - 162*e^7 + 1614*e^6 - 520*e^5 - 2002*e^4 + 924*e^3 + 699*e^2 - 223*e - 72, -5*e^12 + 37*e^11 - 34*e^10 - 325*e^9 + 714*e^8 + 665*e^7 - 2596*e^6 + 176*e^5 + 3177*e^4 - 1127*e^3 - 1002*e^2 + 308*e + 102, -7*e^12 + 46*e^11 - 25*e^10 - 408*e^9 + 753*e^8 + 872*e^7 - 2767*e^6 + 54*e^5 + 3276*e^4 - 1190*e^3 - 922*e^2 + 298*e + 104, 2*e^12 - 11*e^11 - 8*e^10 + 125*e^9 - 74*e^8 - 480*e^7 + 408*e^6 + 807*e^5 - 523*e^4 - 657*e^3 + 11*e^2 + 240*e + 50, 5*e^11 - 29*e^10 - 6*e^9 + 288*e^8 - 290*e^7 - 875*e^6 + 1182*e^5 + 1028*e^4 - 1444*e^3 - 454*e^2 + 439*e + 116, 4*e^12 - 32*e^11 + 41*e^10 + 261*e^9 - 704*e^8 - 363*e^7 + 2433*e^6 - 854*e^5 - 2769*e^4 + 1806*e^3 + 681*e^2 - 458*e - 88, 7/2*e^12 - 49/2*e^11 + 37/2*e^10 + 439/2*e^9 - 907/2*e^8 - 480*e^7 + 1721*e^6 - 17/2*e^5 - 4451/2*e^4 + 1245/2*e^3 + 799*e^2 - 150*e - 82, -3*e^12 + 21*e^11 - 13*e^10 - 193*e^9 + 346*e^8 + 479*e^7 - 1263*e^6 - 293*e^5 + 1514*e^4 - 98*e^3 - 433*e^2 - 6*e + 4, -e^12 + 2*e^11 + 17*e^10 - 35*e^9 - 92*e^8 + 197*e^7 + 165*e^6 - 399*e^5 - 8*e^4 + 234*e^3 - 184*e^2 + 8*e + 30, 4*e^12 - 26*e^11 + 15*e^10 + 225*e^9 - 437*e^8 - 431*e^7 + 1599*e^6 - 248*e^5 - 1886*e^4 + 950*e^3 + 525*e^2 - 248*e - 76, -2*e^12 + 16*e^11 - 21*e^10 - 132*e^9 + 364*e^8 + 200*e^7 - 1305*e^6 + 353*e^5 + 1627*e^4 - 806*e^3 - 542*e^2 + 240*e + 60, -3*e^12 + 24*e^11 - 25*e^10 - 219*e^9 + 487*e^8 + 510*e^7 - 1801*e^6 - 112*e^5 + 2257*e^4 - 477*e^3 - 705*e^2 + 100*e + 52, -3*e^12 + 26*e^11 - 41*e^10 - 201*e^9 + 621*e^8 + 204*e^7 - 2056*e^6 + 857*e^5 + 2246*e^4 - 1450*e^3 - 475*e^2 + 270*e + 44, -2*e^12 + 19*e^11 - 41*e^10 - 119*e^9 + 540*e^8 - 143*e^7 - 1694*e^6 + 1590*e^5 + 1770*e^4 - 2255*e^3 - 437*e^2 + 572*e + 122, e^12 - 30*e^10 + 35*e^9 + 231*e^8 - 352*e^7 - 653*e^6 + 1075*e^5 + 749*e^4 - 1174*e^3 - 328*e^2 + 306*e + 76, -e^12 + 6*e^11 + 2*e^10 - 66*e^9 + 59*e^8 + 236*e^7 - 286*e^6 - 328*e^5 + 403*e^4 + 127*e^3 - 130*e^2 + 38*e - 12, -6*e^11 + 30*e^10 + 21*e^9 - 287*e^8 + 183*e^7 + 796*e^6 - 767*e^5 - 729*e^4 + 769*e^3 + 76*e^2 - 140*e - 18, -4*e^12 + 24*e^11 - 5*e^10 - 215*e^9 + 328*e^8 + 479*e^7 - 1215*e^6 - 61*e^5 + 1358*e^4 - 491*e^3 - 288*e^2 + 94*e + 32, -3*e^11 + 12*e^10 + 22*e^9 - 121*e^8 - 26*e^7 + 381*e^6 - 18*e^5 - 478*e^4 - 10*e^3 + 196*e^2 + 9*e + 4, e^12 - 11*e^11 + 28*e^10 + 63*e^9 - 339*e^8 + 139*e^7 + 1017*e^6 - 1073*e^5 - 977*e^4 + 1430*e^3 + 168*e^2 - 334*e - 64, 2*e^12 - 16*e^11 + 20*e^10 + 131*e^9 - 343*e^8 - 194*e^7 + 1173*e^6 - 355*e^5 - 1334*e^4 + 798*e^3 + 334*e^2 - 204*e - 16, -4*e^12 + 25*e^11 - 4*e^10 - 244*e^9 + 342*e^8 + 689*e^7 - 1396*e^6 - 580*e^5 + 1809*e^4 - 57*e^3 - 568*e^2 + 48*e + 28, 10*e^12 - 68*e^11 + 47*e^10 + 588*e^9 - 1175*e^8 - 1154*e^7 + 4181*e^6 - 399*e^5 - 4810*e^4 + 1954*e^3 + 1254*e^2 - 388*e - 112, -e^12 + 2*e^11 + 22*e^10 - 55*e^9 - 133*e^8 + 413*e^7 + 240*e^6 - 1150*e^5 - 27*e^4 + 1230*e^3 - 121*e^2 - 320*e - 34, 4*e^12 - 26*e^11 + 13*e^10 + 230*e^9 - 414*e^8 - 488*e^7 + 1523*e^6 - 51*e^5 - 1851*e^4 + 754*e^3 + 642*e^2 - 244*e - 92, -2*e^11 + 9*e^10 + 12*e^9 - 90*e^8 + 9*e^7 + 269*e^6 - 80*e^5 - 257*e^4 + 3*e^3 - 33*e^2 + 76*e + 48, -5*e^12 + 34*e^11 - 21*e^10 - 306*e^9 + 581*e^8 + 676*e^7 - 2170*e^6 + 13*e^5 + 2640*e^4 - 944*e^3 - 754*e^2 + 256*e + 52, -2*e^12 + 10*e^11 + 15*e^10 - 129*e^9 + 9*e^8 + 596*e^7 - 260*e^6 - 1235*e^5 + 547*e^4 + 1102*e^3 - 251*e^2 - 264*e - 24, 3*e^12 - 23*e^11 + 28*e^10 + 184*e^9 - 492*e^8 - 239*e^7 + 1678*e^6 - 612*e^5 - 1900*e^4 + 1231*e^3 + 502*e^2 - 332*e - 58, 3*e^12 - 13*e^11 - 25*e^10 + 157*e^9 + 30*e^8 - 662*e^7 + 148*e^6 + 1228*e^5 - 356*e^4 - 956*e^3 + 170*e^2 + 212*e + 42, -6*e^12 + 45*e^11 - 46*e^10 - 383*e^9 + 890*e^8 + 716*e^7 - 3107*e^6 + 331*e^5 + 3588*e^4 - 1233*e^3 - 927*e^2 + 208*e + 76, e^12 - 13*e^11 + 35*e^10 + 86*e^9 - 422*e^8 + 42*e^7 + 1334*e^6 - 852*e^5 - 1384*e^4 + 1133*e^3 + 186*e^2 - 204*e - 26, 3/2*e^12 - 9/2*e^11 - 49/2*e^10 + 159/2*e^9 + 255/2*e^8 - 479*e^7 - 228*e^6 + 2347/2*e^5 + 213/2*e^4 - 2255/2*e^3 - 17*e^2 + 262*e + 40, -2*e^12 + 8*e^11 + 18*e^10 - 90*e^9 - 51*e^8 + 346*e^7 + 102*e^6 - 590*e^5 - 206*e^4 + 420*e^3 + 199*e^2 - 96*e - 60, -7*e^12 + 41*e^11 + 5*e^10 - 409*e^9 + 467*e^8 + 1238*e^7 - 1996*e^6 - 1381*e^5 + 2668*e^4 + 510*e^3 - 912*e^2 - 116*e + 32, -12*e^12 + 74*e^11 - 16*e^10 - 685*e^9 + 1018*e^8 + 1683*e^7 - 3893*e^6 - 721*e^5 + 4647*e^4 - 1121*e^3 - 1264*e^2 + 270*e + 78, 7*e^12 - 53*e^11 + 60*e^10 + 432*e^9 - 1091*e^8 - 642*e^7 + 3724*e^6 - 1064*e^5 - 4196*e^4 + 2313*e^3 + 1076*e^2 - 526*e - 122, -1/2*e^12 - 9/2*e^11 + 69/2*e^10 + 31/2*e^9 - 665/2*e^8 + 170*e^7 + 1112*e^6 - 1669/2*e^5 - 2941/2*e^4 + 2163/2*e^3 + 635*e^2 - 304*e - 88, 19/2*e^12 - 125/2*e^11 + 63/2*e^10 + 1119/2*e^9 - 1995/2*e^8 - 1224*e^7 + 3677*e^6 - 49/2*e^5 - 8669/2*e^4 + 3357/2*e^3 + 1179*e^2 - 438*e - 106, -4*e^12 + 22*e^11 + 12*e^10 - 229*e^9 + 165*e^8 + 748*e^7 - 742*e^6 - 939*e^5 + 788*e^4 + 446*e^3 + 29*e^2 - 178*e - 60, -1/2*e^12 + 1/2*e^11 + 23/2*e^10 - 33/2*e^9 - 145/2*e^8 + 110*e^7 + 149*e^6 - 395/2*e^5 - 149/2*e^4 + 115/2*e^3 - 83*e^2 - 2*e + 44, e^12 - 30*e^10 + 37*e^9 + 224*e^8 - 367*e^7 - 590*e^6 + 1096*e^5 + 597*e^4 - 1172*e^3 - 220*e^2 + 320*e + 74, -3/2*e^12 + 31/2*e^11 - 77/2*e^10 - 177/2*e^9 + 967/2*e^8 - 217*e^7 - 1500*e^6 + 3339/2*e^5 + 2999/2*e^4 - 4599/2*e^3 - 271*e^2 + 554*e + 94, -6*e^12 + 50*e^11 - 68*e^10 - 415*e^9 + 1120*e^8 + 692*e^7 - 3858*e^6 + 661*e^5 + 4477*e^4 - 1623*e^3 - 1142*e^2 + 268*e + 64, 3/2*e^12 - 21/2*e^11 + 3/2*e^10 + 239/2*e^9 - 295/2*e^8 - 461*e^7 + 693*e^6 + 1559/2*e^5 - 2131/2*e^4 - 1239/2*e^3 + 441*e^2 + 198*e - 14, -13/2*e^12 + 95/2*e^11 - 95/2*e^10 - 781/2*e^9 + 1855/2*e^8 + 601*e^7 - 3185*e^6 + 1845/2*e^5 + 7225/2*e^4 - 4257/2*e^3 - 1013*e^2 + 510*e + 142, -5*e^12 + 35*e^11 - 27*e^10 - 303*e^9 + 625*e^8 + 596*e^7 - 2214*e^6 + 206*e^5 + 2533*e^4 - 1008*e^3 - 622*e^2 + 192*e + 48, -3*e^12 + 19*e^11 - 12*e^10 - 151*e^9 + 319*e^8 + 180*e^7 - 1073*e^6 + 592*e^5 + 1063*e^4 - 1126*e^3 - 120*e^2 + 232*e + 36, -4*e^12 + 25*e^11 - 16*e^10 - 196*e^9 + 432*e^8 + 191*e^7 - 1481*e^6 + 1016*e^5 + 1498*e^4 - 1866*e^3 - 193*e^2 + 452*e + 56, 3*e^12 - 30*e^11 + 69*e^10 + 187*e^9 - 894*e^8 + 242*e^7 + 2837*e^6 - 2583*e^5 - 2998*e^4 + 3605*e^3 + 682*e^2 - 864*e - 154, -3/2*e^12 + 21/2*e^11 - 9/2*e^10 - 209/2*e^9 + 303/2*e^8 + 337*e^7 - 554*e^6 - 1073/2*e^5 + 1241/2*e^4 + 1037/2*e^3 - 61*e^2 - 190*e - 56, e^12 - 8*e^11 + 12*e^10 + 60*e^9 - 192*e^8 - 40*e^7 + 654*e^6 - 365*e^5 - 765*e^4 + 642*e^3 + 245*e^2 - 202*e - 56, 7*e^12 - 51*e^11 + 45*e^10 + 443*e^9 - 953*e^8 - 890*e^7 + 3371*e^6 - 196*e^5 - 3910*e^4 + 1296*e^3 + 1026*e^2 - 240*e - 84, 4*e^12 - 27*e^11 + 17*e^10 + 241*e^9 - 470*e^8 - 512*e^7 + 1774*e^6 - 111*e^5 - 2212*e^4 + 901*e^3 + 691*e^2 - 280*e - 62, -5*e^12 + 28*e^11 + 13*e^10 - 301*e^9 + 256*e^8 + 1049*e^7 - 1281*e^6 - 1493*e^5 + 1895*e^4 + 863*e^3 - 748*e^2 - 192*e + 28, 9*e^12 - 64*e^11 + 52*e^10 + 560*e^9 - 1178*e^8 - 1139*e^7 + 4262*e^6 - 286*e^5 - 5116*e^4 + 1852*e^3 + 1520*e^2 - 436*e - 148, 3*e^12 - 25*e^11 + 33*e^10 + 209*e^9 - 547*e^8 - 362*e^7 + 1880*e^6 - 289*e^5 - 2214*e^4 + 831*e^3 + 673*e^2 - 204*e - 60, -2*e^12 + 16*e^11 - 24*e^10 - 116*e^9 + 378*e^8 + 28*e^7 - 1236*e^6 + 930*e^5 + 1268*e^4 - 1466*e^3 - 204*e^2 + 316*e + 36, -2*e^12 + 12*e^11 - 4*e^10 - 108*e^9 + 199*e^8 + 221*e^7 - 832*e^6 + 147*e^5 + 1161*e^4 - 596*e^3 - 472*e^2 + 182*e + 64, -7/2*e^12 + 39/2*e^11 + 1/2*e^10 - 349/2*e^9 + 483/2*e^8 + 370*e^7 - 937*e^6 + 201/2*e^5 + 2095/2*e^4 - 1367/2*e^3 - 207*e^2 + 156*e + 50, -4*e^11 + 24*e^10 - 5*e^9 - 216*e^8 + 326*e^7 + 500*e^6 - 1198*e^5 - 184*e^4 + 1320*e^3 - 277*e^2 - 240*e + 24, -5*e^12 + 27*e^11 + 9*e^10 - 255*e^9 + 256*e^8 + 653*e^7 - 1042*e^6 - 311*e^5 + 1164*e^4 - 480*e^3 - 248*e^2 + 136*e + 36, -5*e^12 + 29*e^11 - 273*e^9 + 356*e^8 + 721*e^7 - 1418*e^6 - 556*e^5 + 1766*e^4 - 12*e^3 - 549*e^2 - 13*e + 48, -5*e^12 + 39*e^11 - 46*e^10 - 321*e^9 + 819*e^8 + 486*e^7 - 2817*e^6 + 826*e^5 + 3186*e^4 - 1830*e^3 - 783*e^2 + 400*e + 76, 2*e^12 - 13*e^11 + 11*e^10 + 104*e^9 - 255*e^8 - 137*e^7 + 928*e^6 - 317*e^5 - 1162*e^4 + 571*e^3 + 440*e^2 - 76*e - 72, 2*e^12 - 17*e^11 + 24*e^10 + 134*e^9 - 374*e^8 - 151*e^7 + 1194*e^6 - 549*e^5 - 1126*e^4 + 985*e^3 + 30*e^2 - 176*e + 10, -3*e^12 + 19*e^11 - 10*e^10 - 164*e^9 + 315*e^8 + 320*e^7 - 1174*e^6 + 119*e^5 + 1478*e^4 - 570*e^3 - 524*e^2 + 142*e + 36, 6*e^12 - 54*e^11 + 92*e^10 + 417*e^9 - 1362*e^8 - 417*e^7 + 4610*e^6 - 1814*e^5 - 5381*e^4 + 3095*e^3 + 1576*e^2 - 684*e - 168, -e^12 + 11*e^11 - 25*e^10 - 71*e^9 + 310*e^8 - 71*e^7 - 908*e^6 + 921*e^5 + 686*e^4 - 1294*e^3 + 214*e^2 + 224*e - 36, -11*e^12 + 67*e^11 - 10*e^10 - 629*e^9 + 889*e^8 + 1623*e^7 - 3447*e^6 - 1021*e^5 + 4122*e^4 - 483*e^3 - 1013*e^2 + 39*e + 8, -7*e^12 + 45*e^11 - 12*e^10 - 434*e^9 + 643*e^8 + 1203*e^7 - 2562*e^6 - 1007*e^5 + 3343*e^4 - 52*e^3 - 1169*e^2 + 59*e + 76, -13/2*e^12 + 83/2*e^11 - 27/2*e^10 - 785/2*e^9 + 1239/2*e^8 + 1043*e^7 - 2449*e^6 - 1577/2*e^5 + 6435/2*e^4 - 193/2*e^3 - 1147*e^2 + 26*e + 68, 11*e^12 - 65*e^11 - 3*e^10 + 626*e^9 - 750*e^8 - 1727*e^7 + 2959*e^6 + 1417*e^5 - 3409*e^4 + 89*e^3 + 670*e^2 + 26*e + 22, -27/2*e^12 + 189/2*e^11 - 141/2*e^10 - 1659/2*e^9 + 3365/2*e^8 + 1702*e^7 - 6070*e^6 + 769/2*e^5 + 14285/2*e^4 - 5371/2*e^3 - 1945*e^2 + 550*e + 164, -6*e^12 + 32*e^11 + 22*e^10 - 338*e^9 + 204*e^8 + 1163*e^7 - 992*e^6 - 1722*e^5 + 1213*e^4 + 1170*e^3 - 217*e^2 - 347*e - 72, 4*e^12 - 27*e^11 + 14*e^10 + 257*e^9 - 457*e^8 - 680*e^7 + 1844*e^6 + 446*e^5 - 2540*e^4 + 212*e^3 + 987*e^2 - 78*e - 72, e^12 - 9*e^11 + 15*e^10 + 74*e^9 - 225*e^8 - 140*e^7 + 793*e^6 + 43*e^5 - 1088*e^4 - 28*e^3 + 534*e^2 + 42*e - 40, 2*e^12 + 3*e^11 - 82*e^10 + 85*e^9 + 663*e^8 - 1060*e^7 - 1797*e^6 + 3383*e^5 + 1768*e^4 - 3705*e^3 - 482*e^2 + 938*e + 176, -1/2*e^12 + 13/2*e^11 - 37/2*e^10 - 83/2*e^9 + 469/2*e^8 - 62*e^7 - 815*e^6 + 1359/2*e^5 + 1991/2*e^4 - 1979/2*e^3 - 309*e^2 + 222*e + 50, 11*e^12 - 68*e^11 + 13*e^10 + 641*e^9 - 923*e^8 - 1679*e^7 + 3574*e^6 + 1162*e^5 - 4315*e^4 + 318*e^3 + 1138*e^2 - 8*e - 28, -5*e^12 + 40*e^11 - 48*e^10 - 345*e^9 + 869*e^8 + 652*e^7 - 3151*e^6 + 405*e^5 + 3930*e^4 - 1436*e^3 - 1285*e^2 + 344*e + 100, 6*e^11 - 25*e^10 - 47*e^9 + 275*e^8 + 59*e^7 - 1000*e^6 + 138*e^5 + 1498*e^4 - 284*e^3 - 792*e^2 + 168*e + 104, -3*e^12 + 20*e^11 - 20*e^10 - 144*e^9 + 396*e^8 + 31*e^7 - 1288*e^6 + 1154*e^5 + 1266*e^4 - 1845*e^3 - 187*e^2 + 468*e + 68, -8*e^12 + 50*e^11 - 10*e^10 - 472*e^9 + 671*e^8 + 1241*e^7 - 2559*e^6 - 873*e^5 + 2993*e^4 - 207*e^3 - 703*e^2 - 25*e + 16, 5*e^12 - 41*e^11 + 53*e^10 + 348*e^9 - 918*e^8 - 613*e^7 + 3300*e^6 - 580*e^5 - 4123*e^4 + 1664*e^3 + 1395*e^2 - 440*e - 136, 10*e^12 - 71*e^11 + 61*e^10 + 603*e^9 - 1318*e^8 - 1091*e^7 + 4627*e^6 - 785*e^5 - 5295*e^4 + 2469*e^3 + 1358*e^2 - 520*e - 130, 1/2*e^12 - 17/2*e^11 + 49/2*e^10 + 135/2*e^9 - 605/2*e^8 - 89*e^7 + 1088*e^6 - 371/2*e^5 - 3005/2*e^4 + 641/2*e^3 + 621*e^2 - 40*e - 36, 4*e^12 - 28*e^11 + 25*e^10 + 235*e^9 - 543*e^8 - 395*e^7 + 1967*e^6 - 460*e^5 - 2428*e^4 + 1230*e^3 + 833*e^2 - 374*e - 116, 17*e^12 - 110*e^11 + 48*e^10 + 997*e^9 - 1706*e^8 - 2294*e^7 + 6365*e^6 + 483*e^5 - 7546*e^4 + 2174*e^3 + 1994*e^2 - 434*e - 152, 6*e^12 - 42*e^11 + 26*e^10 + 388*e^9 - 696*e^8 - 977*e^7 + 2557*e^6 + 639*e^5 - 3071*e^4 + 132*e^3 + 834*e^2 + 52*e - 30, -8*e^12 + 55*e^11 - 40*e^10 - 475*e^9 + 966*e^8 + 922*e^7 - 3430*e^6 + 398*e^5 + 3933*e^4 - 1773*e^3 - 1015*e^2 + 465*e + 92, -9*e^12 + 66*e^11 - 64*e^10 - 558*e^9 + 1288*e^8 + 983*e^7 - 4536*e^6 + 847*e^5 + 5300*e^4 - 2419*e^3 - 1503*e^2 + 463*e + 160, 5*e^12 - 33*e^11 + 11*e^10 + 322*e^9 - 481*e^8 - 953*e^7 + 1890*e^6 + 1139*e^5 - 2475*e^4 - 693*e^3 + 866*e^2 + 244*e - 46, -e^12 - e^11 + 35*e^10 - 34*e^9 - 271*e^8 + 409*e^7 + 697*e^6 - 1282*e^5 - 559*e^4 + 1335*e^3 - 4*e^2 - 248*e - 40, 6*e^12 - 33*e^11 - 14*e^10 + 335*e^9 - 294*e^8 - 1048*e^7 + 1332*e^6 + 1226*e^5 - 1755*e^4 - 437*e^3 + 555*e^2 + 29*e - 8, 5*e^12 - 32*e^11 + 11*e^10 + 301*e^9 - 488*e^8 - 758*e^7 + 1911*e^6 + 329*e^5 - 2311*e^4 + 480*e^3 + 504*e^2 - 32*e + 16, 10*e^12 - 72*e^11 + 70*e^10 + 591*e^9 - 1400*e^8 - 891*e^7 + 4829*e^6 - 1511*e^5 - 5444*e^4 + 3396*e^3 + 1422*e^2 - 800*e - 176, -15/2*e^12 + 103/2*e^11 - 67/2*e^10 - 925/2*e^9 + 1777/2*e^8 + 1023*e^7 - 3283*e^6 - 71/2*e^5 + 7827/2*e^4 - 2483/2*e^3 - 1009*e^2 + 250*e + 56, -6*e^12 + 31*e^11 + 20*e^10 - 311*e^9 + 225*e^8 + 937*e^7 - 1076*e^6 - 945*e^5 + 1437*e^4 + 80*e^3 - 586*e^2 + 50*e + 84, -10*e^12 + 69*e^11 - 39*e^10 - 647*e^9 + 1144*e^8 + 1661*e^7 - 4355*e^6 - 1021*e^5 + 5416*e^4 - 473*e^3 - 1569*e^2 + 12*e + 66, -4*e^12 + 29*e^11 - 25*e^10 - 251*e^9 + 535*e^8 + 492*e^7 - 1882*e^6 + 182*e^5 + 2157*e^4 - 845*e^3 - 552*e^2 + 112*e + 52, 5*e^12 - 38*e^11 + 51*e^10 + 283*e^9 - 859*e^8 - 161*e^7 + 2897*e^6 - 1851*e^5 - 3300*e^4 + 3145*e^3 + 1052*e^2 - 888*e - 200, -5*e^12 + 32*e^11 - 14*e^10 - 282*e^9 + 485*e^8 + 597*e^7 - 1735*e^6 + 25*e^5 + 1927*e^4 - 770*e^3 - 432*e^2 + 160*e + 64, 5/2*e^12 - 37/2*e^11 + 45/2*e^10 + 279/2*e^9 - 795/2*e^8 - 88*e^7 + 1324*e^6 - 1813/2*e^5 - 2761/2*e^4 + 3127/2*e^3 + 247*e^2 - 422*e - 54, -e^12 + e^11 + 28*e^10 - 48*e^9 - 211*e^8 + 427*e^7 + 567*e^6 - 1309*e^5 - 485*e^4 + 1432*e^3 - 23*e^2 - 308*e - 4, 3*e^12 - 16*e^11 - 9*e^10 + 161*e^9 - 119*e^8 - 498*e^7 + 548*e^6 + 574*e^5 - 763*e^4 - 161*e^3 + 396*e^2 - 16*e - 56, -16*e^12 + 106*e^11 - 59*e^10 - 943*e^9 + 1742*e^8 + 2035*e^7 - 6394*e^6 + 56*e^5 + 7526*e^4 - 2645*e^3 - 1984*e^2 + 572*e + 166, 5*e^12 - 31*e^11 + 5*e^10 + 298*e^9 - 419*e^8 - 821*e^7 + 1687*e^6 + 680*e^5 - 2222*e^4 + 46*e^3 + 808*e^2 - 64*e - 32, -11/2*e^12 + 89/2*e^11 - 115/2*e^10 - 737/2*e^9 + 1963/2*e^8 + 584*e^7 - 3409*e^6 + 1621/2*e^5 + 7911/2*e^4 - 3709/2*e^3 - 1033*e^2 + 334*e + 98, -9*e^12 + 55*e^11 - e^10 - 544*e^9 + 665*e^8 + 1625*e^7 - 2689*e^6 - 1812*e^5 + 3355*e^4 + 786*e^3 - 945*e^2 - 292*e + 8, -5*e^12 + 31*e^11 - 9*e^10 - 283*e^9 + 452*e^8 + 661*e^7 - 1734*e^6 - 147*e^5 + 2114*e^4 - 664*e^3 - 604*e^2 + 180*e + 18, e^12 - 3*e^11 - 9*e^10 + 28*e^9 + 17*e^8 - 50*e^7 + 9*e^6 - 121*e^5 + 45*e^4 + 277*e^3 - 169*e^2 - 11*e + 24, -6*e^12 + 41*e^11 - 26*e^10 - 369*e^9 + 705*e^8 + 821*e^7 - 2630*e^6 - 33*e^5 + 3222*e^4 - 1050*e^3 - 987*e^2 + 304*e + 98, 15*e^12 - 101*e^11 + 67*e^10 + 877*e^9 - 1740*e^8 - 1734*e^7 + 6275*e^6 - 623*e^5 - 7351*e^4 + 3074*e^3 + 2019*e^2 - 672*e - 204, 1/2*e^12 - 5/2*e^11 + 1/2*e^10 + 19/2*e^9 - 31/2*e^8 + 74*e^7 - 77*e^6 - 683/2*e^5 + 829/2*e^4 + 749/2*e^3 - 411*e^2 - 8*e + 48, -2*e^12 + 14*e^11 - 7*e^10 - 137*e^9 + 223*e^8 + 404*e^7 - 875*e^6 - 466*e^5 + 1172*e^4 + 281*e^3 - 453*e^2 - 148*e + 40, -2*e^12 + 16*e^11 - 20*e^10 - 133*e^9 + 348*e^8 + 213*e^7 - 1204*e^6 + 279*e^5 + 1329*e^4 - 597*e^3 - 205*e^2 + 52*e + 6, -2*e^12 + 5*e^11 + 30*e^10 - 66*e^9 - 182*e^8 + 319*e^7 + 553*e^6 - 696*e^5 - 742*e^4 + 587*e^3 + 270*e^2 - 88*e - 20, 4*e^12 - 28*e^11 + 22*e^10 + 239*e^9 - 498*e^8 - 444*e^7 + 1737*e^6 - 274*e^5 - 1976*e^4 + 1015*e^3 + 547*e^2 - 328*e - 68, 11/2*e^12 - 75/2*e^11 + 51/2*e^10 + 655/2*e^9 - 1277/2*e^8 - 683*e^7 + 2234*e^6 + 21/2*e^5 - 4803/2*e^4 + 1285/2*e^3 + 335*e^2 - 6*e + 44, -6*e^12 + 50*e^11 - 76*e^10 - 387*e^9 + 1199*e^8 + 376*e^7 - 4089*e^6 + 1809*e^5 + 4723*e^4 - 3132*e^3 - 1307*e^2 + 702*e + 156, -5/2*e^12 + 27/2*e^11 + 11/2*e^10 - 273/2*e^9 + 273/2*e^8 + 411*e^7 - 665*e^6 - 767/2*e^5 + 2017/2*e^4 - 77/2*e^3 - 473*e^2 + 78*e + 86, -9*e^12 + 58*e^11 - 20*e^10 - 541*e^9 + 858*e^8 + 1359*e^7 - 3300*e^6 - 675*e^5 + 4120*e^4 - 795*e^3 - 1323*e^2 + 220*e + 94, 6*e^12 - 47*e^11 + 46*e^10 + 431*e^9 - 925*e^8 - 1050*e^7 + 3428*e^6 + 522*e^5 - 4391*e^4 + 466*e^3 + 1498*e^2 - 132*e - 84, -10*e^12 + 75*e^11 - 78*e^10 - 632*e^9 + 1505*e^8 + 1090*e^7 - 5282*e^6 + 1074*e^5 + 6131*e^4 - 2906*e^3 - 1642*e^2 + 619*e + 168, 3*e^12 - 14*e^11 - 16*e^10 + 142*e^9 - 39*e^8 - 449*e^7 + 230*e^6 + 567*e^5 - 186*e^4 - 312*e^3 - 62*e^2 + 132*e + 40, -3*e^12 + 15*e^11 + 15*e^10 - 165*e^9 + 72*e^8 + 604*e^7 - 468*e^6 - 957*e^5 + 718*e^4 + 696*e^3 - 268*e^2 - 199*e - 36, -8*e^12 + 45*e^11 + 14*e^10 - 450*e^9 + 428*e^8 + 1372*e^7 - 1802*e^6 - 1568*e^5 + 2110*e^4 + 648*e^3 - 359*e^2 - 228*e - 56, 3*e^12 - 21*e^11 + 10*e^10 + 208*e^9 - 328*e^8 - 643*e^7 + 1288*e^6 + 866*e^5 - 1727*e^4 - 636*e^3 + 626*e^2 + 198*e - 10, -4*e^12 + 27*e^11 - 15*e^10 - 247*e^9 + 445*e^8 + 588*e^7 - 1662*e^6 - 220*e^5 + 1982*e^4 - 330*e^3 - 484*e^2 + 4*e + 14, 7*e^12 - 48*e^11 + 46*e^10 + 373*e^9 - 944*e^8 - 358*e^7 + 3237*e^6 - 1860*e^5 - 3603*e^4 + 3386*e^3 + 972*e^2 - 896*e - 172, e^12 - 12*e^11 + 40*e^10 + 43*e^9 - 457*e^8 + 436*e^7 + 1348*e^6 - 2168*e^5 - 1220*e^4 + 2801*e^3 + 84*e^2 - 688*e - 68, 3*e^12 - 24*e^11 + 29*e^10 + 203*e^9 - 510*e^8 - 368*e^7 + 1784*e^6 - 225*e^5 - 2134*e^4 + 724*e^3 + 668*e^2 - 130*e - 76, -11*e^12 + 62*e^11 + 22*e^10 - 639*e^9 + 597*e^8 + 2064*e^7 - 2746*e^6 - 2600*e^5 + 3818*e^4 + 1229*e^3 - 1430*e^2 - 266*e + 56, -2*e^12 + 16*e^11 - 23*e^10 - 121*e^9 + 360*e^8 + 120*e^7 - 1153*e^6 + 434*e^5 + 1183*e^4 - 665*e^3 - 149*e^2 + 156*e - 26, -4*e^12 + 32*e^11 - 37*e^10 - 277*e^9 + 676*e^8 + 524*e^7 - 2426*e^6 + 368*e^5 + 2947*e^4 - 1320*e^3 - 907*e^2 + 418*e + 96, 5/2*e^12 - 19/2*e^11 - 35/2*e^10 + 161/2*e^9 + 75/2*e^8 - 154*e^7 - 177*e^6 - 93/2*e^5 + 1015/2*e^4 + 607/2*e^3 - 385*e^2 - 148*e + 34, -5*e^11 + 20*e^10 + 37*e^9 - 196*e^8 - 64*e^7 + 586*e^6 + 125*e^5 - 675*e^4 - 317*e^3 + 181*e^2 + 130*e + 68, -5/2*e^12 + 31/2*e^11 - 17/2*e^10 - 257/2*e^9 + 527/2*e^8 + 196*e^7 - 982*e^6 + 753/2*e^5 + 2549/2*e^4 - 1911/2*e^3 - 587*e^2 + 352*e + 114, -2*e^12 + 23*e^11 - 54*e^10 - 160*e^9 + 686*e^8 - 16*e^7 - 2213*e^6 + 1448*e^5 + 2400*e^4 - 2166*e^3 - 558*e^2 + 532*e + 104, 6*e^12 - 39*e^11 + 20*e^10 + 349*e^9 - 644*e^8 - 750*e^7 + 2434*e^6 - 119*e^5 - 2969*e^4 + 1231*e^3 + 881*e^2 - 348*e - 118, 1/2*e^12 - 5/2*e^11 - 7/2*e^10 + 57/2*e^9 + 9/2*e^8 - 121*e^7 + 6*e^6 + 521/2*e^5 - 163/2*e^4 - 421/2*e^3 + 185*e^2 - 12*e - 22, -5*e^12 + 40*e^11 - 43*e^10 - 357*e^9 + 807*e^8 + 794*e^7 - 2888*e^6 - 149*e^5 + 3467*e^4 - 622*e^3 - 968*e^2 + 56, 6*e^12 - 43*e^11 + 38*e^10 + 365*e^9 - 806*e^8 - 653*e^7 + 2825*e^6 - 532*e^5 - 3225*e^4 + 1608*e^3 + 857*e^2 - 358*e - 124, 10*e^12 - 69*e^11 + 47*e^10 + 613*e^9 - 1195*e^8 - 1323*e^7 + 4351*e^6 - 8*e^5 - 5179*e^4 + 1650*e^3 + 1497*e^2 - 352*e - 152, 4*e^12 - 25*e^11 + 6*e^10 + 239*e^9 - 371*e^8 - 618*e^7 + 1537*e^6 + 249*e^5 - 2076*e^4 + 611*e^3 + 776*e^2 - 308*e - 106, 5/2*e^12 - 13/2*e^11 - 93/2*e^10 + 251/2*e^9 + 571/2*e^8 - 808*e^7 - 703*e^6 + 4209/2*e^5 + 1497/2*e^4 - 4403/2*e^3 - 359*e^2 + 652*e + 128, 5*e^10 - 23*e^9 - 30*e^8 + 238*e^7 - 32*e^6 - 767*e^5 + 278*e^4 + 907*e^3 - 180*e^2 - 240*e - 48, 6*e^12 - 36*e^11 + 5*e^10 + 330*e^9 - 474*e^8 - 775*e^7 + 1792*e^6 + 171*e^5 - 1970*e^4 + 751*e^3 + 284*e^2 - 120*e + 24, -12*e^12 + 74*e^11 - 16*e^10 - 682*e^9 + 1007*e^8 + 1659*e^7 - 3782*e^6 - 688*e^5 + 4318*e^4 - 1064*e^3 - 970*e^2 + 172*e + 60, -3*e^12 + 18*e^11 + 3*e^10 - 184*e^9 + 176*e^8 + 617*e^7 - 671*e^6 - 1002*e^5 + 617*e^4 + 987*e^3 + 194*e^2 - 460*e - 130, 2*e^12 - 10*e^11 - 13*e^10 + 125*e^9 - 21*e^8 - 588*e^7 + 258*e^6 + 1385*e^5 - 506*e^4 - 1530*e^3 + 214*e^2 + 448*e + 80, 4*e^12 - 31*e^11 + 45*e^10 + 220*e^9 - 710*e^8 - 46*e^7 + 2289*e^6 - 1651*e^5 - 2484*e^4 + 2582*e^3 + 758*e^2 - 720*e - 158, -4*e^12 + 25*e^11 - 16*e^10 - 195*e^9 + 426*e^8 + 202*e^7 - 1470*e^6 + 903*e^5 + 1708*e^4 - 1775*e^3 - 692*e^2 + 592*e + 150, -2*e^12 + 16*e^11 - 23*e^10 - 125*e^9 + 371*e^8 + 154*e^7 - 1252*e^6 + 361*e^5 + 1438*e^4 - 605*e^3 - 405*e^2 + 92*e + 42, -e^12 + 4*e^11 + 11*e^10 - 55*e^9 - 29*e^8 + 265*e^7 - 58*e^6 - 525*e^5 + 367*e^4 + 365*e^3 - 476*e^2 - 44*e + 72, -5*e^12 + 36*e^11 - 29*e^10 - 317*e^9 + 653*e^8 + 650*e^7 - 2320*e^6 + 179*e^5 + 2572*e^4 - 1085*e^3 - 456*e^2 + 212*e + 14, 2*e^12 - 20*e^11 + 50*e^10 + 109*e^9 - 628*e^8 + 335*e^7 + 1917*e^6 - 2331*e^5 - 1781*e^4 + 3141*e^3 + 114*e^2 - 728*e - 86, 6*e^12 - 46*e^11 + 46*e^10 + 406*e^9 - 910*e^8 - 859*e^7 + 3293*e^6 - 65*e^5 - 4077*e^4 + 1204*e^3 + 1348*e^2 - 366*e - 122, -4*e^12 + 22*e^11 + 10*e^10 - 224*e^9 + 190*e^8 + 693*e^7 - 862*e^6 - 742*e^5 + 1078*e^4 + 179*e^3 - 276*e^2 - 92*e + 8, 5*e^12 - 29*e^11 + 269*e^9 - 353*e^8 - 660*e^7 + 1387*e^6 + 243*e^5 - 1689*e^4 + 598*e^3 + 581*e^2 - 234*e - 124, -6*e^12 + 42*e^11 - 41*e^10 - 333*e^9 + 826*e^8 + 388*e^7 - 2820*e^6 + 1351*e^5 + 3066*e^4 - 2571*e^3 - 694*e^2 + 648*e + 128, 2*e^12 - 11*e^11 - 3*e^10 + 104*e^9 - 113*e^8 - 253*e^7 + 465*e^6 + 16*e^5 - 501*e^4 + 400*e^3 + 64*e^2 - 118*e - 26, -3*e^12 + 21*e^11 - 18*e^10 - 173*e^9 + 387*e^8 + 257*e^7 - 1311*e^6 + 488*e^5 + 1308*e^4 - 1054*e^3 - 70*e^2 + 216*e - 8, 9*e^12 - 54*e^11 + 4*e^10 + 511*e^9 - 680*e^8 - 1364*e^7 + 2666*e^6 + 1061*e^5 - 3296*e^4 + 97*e^3 + 1042*e^2 - 32*e - 84, -10*e^12 + 70*e^11 - 49*e^10 - 631*e^9 + 1219*e^8 + 1461*e^7 - 4446*e^6 - 513*e^5 + 5300*e^4 - 825*e^3 - 1422*e^2 + 28*e + 62, -8*e^12 + 60*e^11 - 57*e^10 - 530*e^9 + 1175*e^8 + 1106*e^7 - 4271*e^6 + 195*e^5 + 5139*e^4 - 1631*e^3 - 1404*e^2 + 306*e + 132, -5/2*e^12 + 31/2*e^11 + 5/2*e^10 - 343/2*e^9 + 375/2*e^8 + 614*e^7 - 925*e^6 - 1721/2*e^5 + 2819/2*e^4 + 967/2*e^3 - 555*e^2 - 164*e + 18, 7*e^12 - 40*e^11 - 19*e^10 + 443*e^9 - 356*e^8 - 1652*e^7 + 1832*e^6 + 2719*e^5 - 2835*e^4 - 2028*e^3 + 1221*e^2 + 490*e - 24, 12*e^12 - 76*e^11 + 29*e^10 + 683*e^9 - 1150*e^8 - 1509*e^7 + 4300*e^6 + 4*e^5 - 5091*e^4 + 2032*e^3 + 1420*e^2 - 514*e - 132, -2*e^12 + 4*e^11 + 36*e^10 - 72*e^9 - 220*e^8 + 431*e^7 + 541*e^6 - 998*e^5 - 489*e^4 + 798*e^3 + 44*e^2 - 93*e - 32, -10*e^12 + 56*e^11 + 12*e^10 - 539*e^9 + 592*e^8 + 1470*e^7 - 2449*e^6 - 1075*e^5 + 2972*e^4 - 420*e^3 - 789*e^2 + 164*e + 18, 3*e^12 - 26*e^11 + 39*e^10 + 209*e^9 - 607*e^8 - 289*e^7 + 2069*e^6 - 590*e^5 - 2473*e^4 + 1237*e^3 + 860*e^2 - 356*e - 118, -7*e^12 + 45*e^11 - 22*e^10 - 394*e^9 + 704*e^8 + 826*e^7 - 2512*e^6 + 2800*e^4 - 880*e^3 - 587*e^2 + 73*e + 20, 3*e^12 - 33*e^11 + 75*e^10 + 234*e^9 - 972*e^8 - 45*e^7 + 3194*e^6 - 1750*e^5 - 3682*e^4 + 2584*e^3 + 1114*e^2 - 566*e - 160, -6*e^12 + 31*e^11 + 30*e^10 - 348*e^9 + 135*e^8 + 1341*e^7 - 858*e^6 - 2357*e^5 + 1256*e^4 + 1897*e^3 - 385*e^2 - 470*e - 92, 25/2*e^12 - 189/2*e^11 + 203/2*e^10 + 1581/2*e^9 - 3835/2*e^8 - 1325*e^7 + 6720*e^6 - 2933/2*e^5 - 15899/2*e^4 + 7647/2*e^3 + 2435*e^2 - 916*e - 254, -7*e^12 + 56*e^11 - 65*e^10 - 489*e^9 + 1185*e^8 + 999*e^7 - 4253*e^6 + 151*e^5 + 5162*e^4 - 1280*e^3 - 1469*e^2 + 180*e + 100, 9/2*e^12 - 53/2*e^11 - 3/2*e^10 + 513/2*e^9 - 605/2*e^8 - 736*e^7 + 1210*e^6 + 1539/2*e^5 - 3035/2*e^4 - 559/2*e^3 + 485*e^2 + 96*e + 14, e^12 - 9*e^11 + 18*e^10 + 60*e^9 - 264*e^8 + 65*e^7 + 939*e^6 - 922*e^5 - 1198*e^4 + 1506*e^3 + 500*e^2 - 484*e - 124, 8*e^12 - 47*e^11 + 442*e^9 - 559*e^8 - 1153*e^7 + 2168*e^6 + 771*e^5 - 2566*e^4 + 379*e^3 + 717*e^2 - 176*e - 42, 3*e^12 - 19*e^11 - 2*e^10 + 202*e^9 - 196*e^8 - 719*e^7 + 792*e^6 + 1200*e^5 - 886*e^4 - 1066*e^3 + 43*e^2 + 400*e + 94, -6*e^12 + 40*e^11 - 25*e^10 - 353*e^9 + 696*e^8 + 722*e^7 - 2613*e^6 + 254*e^5 + 3240*e^4 - 1401*e^3 - 1034*e^2 + 436*e + 148, 7*e^12 - 47*e^11 + 29*e^10 + 418*e^9 - 810*e^8 - 875*e^7 + 3029*e^6 - 247*e^5 - 3685*e^4 + 1605*e^3 + 1068*e^2 - 400*e - 72, 9*e^12 - 60*e^11 + 40*e^10 + 508*e^9 - 1024*e^8 - 890*e^7 + 3585*e^6 - 854*e^5 - 3941*e^4 + 2462*e^3 + 915*e^2 - 616*e - 148, 5*e^12 - 34*e^11 + 34*e^10 + 250*e^9 - 664*e^8 - 110*e^7 + 2142*e^6 - 1767*e^5 - 2079*e^4 + 2917*e^3 + 328*e^2 - 722*e - 98, -6*e^12 + 42*e^11 - 27*e^10 - 380*e^9 + 700*e^8 + 882*e^7 - 2544*e^6 - 252*e^5 + 3075*e^4 - 778*e^3 - 1004*e^2 + 264*e + 82, 9*e^12 - 65*e^11 + 64*e^10 + 535*e^9 - 1283*e^8 - 801*e^7 + 4498*e^6 - 1471*e^5 - 5269*e^4 + 3328*e^3 + 1655*e^2 - 862*e - 236, 5*e^12 - 32*e^11 + 15*e^10 + 279*e^9 - 492*e^8 - 568*e^7 + 1722*e^6 - 88*e^5 - 1767*e^4 + 707*e^3 + 163*e^2 + 10*e + 44, -11*e^12 + 70*e^11 - 30*e^10 - 617*e^9 + 1058*e^8 + 1319*e^7 - 3795*e^6 - 49*e^5 + 4287*e^4 - 1463*e^3 - 1085*e^2 + 230*e + 84, 9*e^12 - 61*e^11 + 36*e^10 + 546*e^9 - 998*e^8 - 1231*e^7 + 3609*e^6 + 286*e^5 - 4244*e^4 + 1000*e^3 + 1216*e^2 - 148*e - 90, 16*e^12 - 93*e^11 - 15*e^10 + 927*e^9 - 1022*e^8 - 2789*e^7 + 4358*e^6 + 3007*e^5 - 5727*e^4 - 906*e^3 + 1944*e^2 + 160*e - 96, -2*e^12 + 18*e^11 - 28*e^10 - 142*e^9 + 403*e^8 + 203*e^7 - 1226*e^6 + 222*e^5 + 1072*e^4 - 307*e^3 + 131*e^2 - 124*e - 104, -2*e^12 + 15*e^11 - 13*e^10 - 132*e^9 + 256*e^8 + 319*e^7 - 823*e^6 - 326*e^5 + 839*e^4 + 323*e^3 - 127*e^2 - 203*e - 28, 4*e^12 - 30*e^11 + 24*e^10 + 289*e^9 - 575*e^8 - 778*e^7 + 2285*e^6 + 505*e^5 - 3074*e^4 + 280*e^3 + 1046*e^2 - 100*e - 62, -11/2*e^12 + 71/2*e^11 - 21/2*e^10 - 689/2*e^9 + 1051/2*e^8 + 964*e^7 - 2117*e^6 - 1637/2*e^5 + 5511/2*e^4 + 33/2*e^3 - 875*e^2 - 36*e + 40, 5*e^12 - 34*e^11 + 26*e^10 + 290*e^9 - 624*e^8 - 521*e^7 + 2267*e^6 - 460*e^5 - 2728*e^4 + 1420*e^3 + 860*e^2 - 425*e - 140, -6*e^12 + 44*e^11 - 38*e^10 - 395*e^9 + 842*e^8 + 873*e^7 - 3156*e^6 - 28*e^5 + 4050*e^4 - 1080*e^3 - 1410*e^2 + 272*e + 116, -5*e^12 + 43*e^11 - 60*e^10 - 362*e^9 + 986*e^8 + 605*e^7 - 3482*e^6 + 764*e^5 + 4219*e^4 - 1951*e^3 - 1309*e^2 + 468*e + 130, -6*e^12 + 51*e^11 - 82*e^10 - 391*e^9 + 1263*e^8 + 357*e^7 - 4317*e^6 + 1870*e^5 + 5080*e^4 - 3148*e^3 - 1513*e^2 + 694*e + 192, e^12 - 8*e^11 - 2*e^10 + 108*e^9 - 65*e^8 - 545*e^7 + 339*e^6 + 1307*e^5 - 514*e^4 - 1410*e^3 + 119*e^2 + 424*e + 112, 3*e^12 - 27*e^11 + 46*e^10 + 204*e^9 - 671*e^8 - 158*e^7 + 2210*e^6 - 1104*e^5 - 2434*e^4 + 1885*e^3 + 574*e^2 - 500*e - 58, 5*e^12 - 42*e^11 + 59*e^10 + 339*e^9 - 940*e^8 - 488*e^7 + 3132*e^6 - 828*e^5 - 3423*e^4 + 1666*e^3 + 720*e^2 - 320*e - 56, -3*e^12 + 27*e^11 - 47*e^10 - 197*e^9 + 667*e^8 + 101*e^7 - 2114*e^6 + 1193*e^5 + 2157*e^4 - 1806*e^3 - 350*e^2 + 392*e + 40, -18*e^12 + 120*e^11 - 63*e^10 - 1087*e^9 + 1929*e^8 + 2523*e^7 - 7141*e^6 - 726*e^5 + 8602*e^4 - 2003*e^3 - 2536*e^2 + 412*e + 190, 16*e^12 - 102*e^11 + 36*e^10 + 941*e^9 - 1529*e^8 - 2285*e^7 + 5867*e^6 + 873*e^5 - 7272*e^4 + 1715*e^3 + 2252*e^2 - 512*e - 190, -4*e^12 + 16*e^11 + 46*e^10 - 223*e^9 - 167*e^8 + 1134*e^7 + 172*e^6 - 2580*e^5 + 176*e^4 + 2420*e^3 - 294*e^2 - 544*e - 28, 13*e^12 - 87*e^11 + 53*e^10 + 765*e^9 - 1459*e^8 - 1586*e^7 + 5296*e^6 - 284*e^5 - 6213*e^4 + 2474*e^3 + 1694*e^2 - 662*e - 152, -5*e^12 + 36*e^11 - 40*e^10 - 274*e^9 + 740*e^8 + 200*e^7 - 2439*e^6 + 1640*e^5 + 2379*e^4 - 2767*e^3 - 138*e^2 + 616*e + 32, -3*e^12 + 24*e^11 - 33*e^10 - 188*e^9 + 544*e^8 + 202*e^7 - 1833*e^6 + 804*e^5 + 1997*e^4 - 1418*e^3 - 396*e^2 + 292*e + 40, -15*e^12 + 92*e^11 - 24*e^10 - 824*e^9 + 1275*e^8 + 1834*e^7 - 4652*e^6 - 200*e^5 + 5143*e^4 - 2048*e^3 - 1101*e^2 + 446*e + 108, -9*e^12 + 69*e^11 - 83*e^10 - 554*e^9 + 1456*e^8 + 771*e^7 - 4937*e^6 + 1476*e^5 + 5614*e^4 - 2946*e^3 - 1549*e^2 + 598*e + 144, e^12 - 7*e^11 - 11*e^10 + 125*e^9 + 2*e^8 - 788*e^7 + 278*e^6 + 2122*e^5 - 745*e^4 - 2358*e^3 + 393*e^2 + 680*e + 66, -5*e^12 + 30*e^11 + e^10 - 297*e^9 + 358*e^8 + 878*e^7 - 1478*e^6 - 905*e^5 + 1855*e^4 + 264*e^3 - 495*e^2 - 108*e + 40, -4*e^12 + 29*e^11 - 22*e^10 - 270*e^9 + 534*e^8 + 673*e^7 - 2041*e^6 - 330*e^5 + 2582*e^4 - 317*e^3 - 709*e^2 + 57*e + 24, -8*e^11 + 39*e^10 + 30*e^9 - 389*e^8 + 278*e^7 + 1159*e^6 - 1420*e^5 - 1173*e^4 + 1904*e^3 + 276*e^2 - 556*e - 90, 11*e^12 - 79*e^11 + 63*e^10 + 704*e^9 - 1441*e^8 - 1557*e^7 + 5282*e^6 + 226*e^5 - 6590*e^4 + 1522*e^3 + 2229*e^2 - 392*e - 180, 4*e^12 - 13*e^11 - 51*e^10 + 172*e^9 + 247*e^8 - 829*e^7 - 617*e^6 + 1828*e^5 + 833*e^4 - 1763*e^3 - 560*e^2 + 525*e + 168, -10*e^12 + 82*e^11 - 105*e^10 - 693*e^9 + 1805*e^8 + 1214*e^7 - 6367*e^6 + 1086*e^5 + 7640*e^4 - 3021*e^3 - 2249*e^2 + 628*e + 196, -13*e^12 + 78*e^11 - 8*e^10 - 729*e^9 + 1000*e^8 + 1861*e^7 - 3846*e^6 - 1118*e^5 + 4483*e^4 - 646*e^3 - 1010*e^2 + 88*e + 10, 5*e^12 - 33*e^11 + 2*e^10 + 354*e^9 - 409*e^8 - 1274*e^7 + 1789*e^6 + 2103*e^5 - 2647*e^4 - 1657*e^3 + 1188*e^2 + 379*e - 56, e^12 - 9*e^11 + 19*e^10 + 59*e^9 - 267*e^8 + 46*e^7 + 919*e^6 - 717*e^5 - 1176*e^4 + 1098*e^3 + 535*e^2 - 362*e - 116, 2*e^12 - 8*e^11 - 23*e^10 + 117*e^9 + 72*e^8 - 618*e^7 - 6*e^6 + 1443*e^5 - 157*e^4 - 1462*e^3 + 30*e^2 + 430*e + 8, -15*e^12 + 93*e^11 - 19*e^10 - 876*e^9 + 1277*e^8 + 2278*e^7 - 4958*e^6 - 1479*e^5 + 6017*e^4 - 592*e^3 - 1634*e^2 + 94, e^12 - 7*e^11 + 5*e^10 + 62*e^9 - 124*e^8 - 133*e^7 + 468*e^6 - 2*e^5 - 634*e^4 + 174*e^3 + 282*e^2 - 60*e - 44, -7*e^12 + 37*e^11 + 25*e^10 - 392*e^9 + 270*e^8 + 1318*e^7 - 1398*e^6 - 1698*e^5 + 1945*e^4 + 708*e^3 - 643*e^2 - 107*e - 16, 4*e^12 - 38*e^11 + 73*e^10 + 278*e^9 - 1027*e^8 - 109*e^7 + 3436*e^6 - 2005*e^5 - 3941*e^4 + 3258*e^3 + 1119*e^2 - 902*e - 168, 3/2*e^12 - 19/2*e^11 - 15/2*e^10 + 243/2*e^9 - 69/2*e^8 - 587*e^7 + 237*e^6 + 2801/2*e^5 - 903/2*e^4 - 3031/2*e^3 + 305*e^2 + 446*e - 6, -3*e^12 + 21*e^11 - 16*e^10 - 185*e^9 + 383*e^8 + 381*e^7 - 1418*e^6 + 104*e^5 + 1792*e^4 - 690*e^3 - 692*e^2 + 219*e + 108, -7*e^12 + 52*e^11 - 44*e^10 - 469*e^9 + 967*e^8 + 1048*e^7 - 3543*e^6 - 44*e^5 + 4302*e^4 - 1353*e^3 - 1265*e^2 + 380*e + 108, -2*e^12 + 15*e^11 - 13*e^10 - 138*e^9 + 282*e^8 + 344*e^7 - 1052*e^6 - 204*e^5 + 1383*e^4 - 151*e^3 - 544*e^2 + 112*e + 24, -11/2*e^12 + 77/2*e^11 - 51/2*e^10 - 697/2*e^9 + 1313/2*e^8 + 805*e^7 - 2411*e^6 - 423/2*e^5 + 5845/2*e^4 - 1327/2*e^3 - 911*e^2 + 120*e + 122, 7*e^12 - 39*e^11 - 13*e^10 + 389*e^9 - 367*e^8 - 1180*e^7 + 1562*e^6 + 1330*e^5 - 1885*e^4 - 496*e^3 + 424*e^2 + 120*e + 6, -8*e^12 + 52*e^11 - 20*e^10 - 483*e^9 + 795*e^8 + 1173*e^7 - 3085*e^6 - 332*e^5 + 3910*e^4 - 1222*e^3 - 1312*e^2 + 440*e + 114, 11*e^12 - 79*e^11 + 64*e^10 + 695*e^9 - 1439*e^8 - 1453*e^7 + 5190*e^6 - 166*e^5 - 6267*e^4 + 2062*e^3 + 1975*e^2 - 539*e - 184, -e^11 + 14*e^10 - 32*e^9 - 116*e^8 + 396*e^7 + 212*e^6 - 1298*e^5 + 27*e^4 + 1510*e^3 - 160*e^2 - 388*e - 28, 14*e^12 - 94*e^11 + 53*e^10 + 843*e^9 - 1531*e^8 - 1891*e^7 + 5574*e^6 + 315*e^5 - 6476*e^4 + 1788*e^3 + 1609*e^2 - 278*e - 104, -11*e^12 + 72*e^11 - 32*e^10 - 654*e^9 + 1102*e^8 + 1531*e^7 - 4051*e^6 - 484*e^5 + 4701*e^4 - 1151*e^3 - 1127*e^2 + 222*e + 20, -7*e^12 + 48*e^11 - 39*e^10 - 402*e^9 + 887*e^8 + 663*e^7 - 3109*e^6 + 838*e^5 + 3374*e^4 - 2041*e^3 - 516*e^2 + 364*e, 6*e^12 - 42*e^11 + 25*e^10 + 392*e^9 - 693*e^8 - 1002*e^7 + 2575*e^6 + 640*e^5 - 3077*e^4 + 210*e^3 + 758*e^2 + 36*e - 10, -6*e^12 + 44*e^11 - 47*e^10 - 358*e^9 + 906*e^8 + 490*e^7 - 3184*e^6 + 1202*e^5 + 3710*e^4 - 2514*e^3 - 1037*e^2 + 652*e + 128, 11/2*e^12 - 63/2*e^11 + 5/2*e^10 + 543/2*e^9 - 783/2*e^8 - 494*e^7 + 1379*e^6 - 973/2*e^5 - 2515/2*e^4 + 3035/2*e^3 - 27*e^2 - 390*e - 32, -10*e^12 + 60*e^11 - 2*e^10 - 578*e^9 + 744*e^8 + 1606*e^7 - 3007*e^6 - 1382*e^5 + 3888*e^4 - 21*e^3 - 1380*e^2 + 58*e + 84, -e^12 + 12*e^11 - 39*e^10 - 44*e^9 + 446*e^8 - 441*e^7 - 1293*e^6 + 2263*e^5 + 1056*e^4 - 3011*e^3 + 54*e^2 + 740*e + 94, -5*e^12 + 28*e^11 + 2*e^10 - 252*e^9 + 321*e^8 + 555*e^7 - 1198*e^6 + 30*e^5 + 1195*e^4 - 833*e^3 - 67*e^2 + 184*e + 22, 5*e^12 - 46*e^11 + 91*e^10 + 312*e^9 - 1246*e^8 + 79*e^7 + 3980*e^6 - 2867*e^5 - 4220*e^4 + 4048*e^3 + 928*e^2 - 860*e - 138, 12*e^12 - 85*e^11 + 68*e^10 + 743*e^9 - 1544*e^8 - 1537*e^7 + 5542*e^6 - 145*e^5 - 6631*e^4 + 2016*e^3 + 2007*e^2 - 480*e - 200, -3*e^12 + 28*e^11 - 47*e^10 - 221*e^9 + 680*e^8 + 279*e^7 - 2237*e^6 + 677*e^5 + 2480*e^4 - 1242*e^3 - 579*e^2 + 255*e + 4, -6*e^12 + 47*e^11 - 59*e^10 - 376*e^9 + 1014*e^8 + 481*e^7 - 3443*e^6 + 1306*e^5 + 3866*e^4 - 2581*e^3 - 966*e^2 + 601*e + 84, 8*e^12 - 62*e^11 + 64*e^10 + 554*e^9 - 1263*e^8 - 1221*e^7 + 4683*e^6 + 95*e^5 - 6052*e^4 + 1366*e^3 + 2176*e^2 - 340*e - 180, -2*e^12 + 11*e^11 + 5*e^10 - 114*e^9 + 92*e^8 + 392*e^7 - 426*e^6 - 630*e^5 + 636*e^4 + 471*e^3 - 311*e^2 - 64*e + 16, 3*e^12 - 14*e^11 - 29*e^10 + 193*e^9 + 68*e^8 - 995*e^7 + 45*e^6 + 2411*e^5 - 248*e^4 - 2566*e^3 + 36*e^2 + 720*e + 160, 5*e^12 - 49*e^11 + 102*e^10 + 335*e^9 - 1359*e^8 + 69*e^7 + 4317*e^6 - 3070*e^5 - 4459*e^4 + 4423*e^3 + 746*e^2 - 948*e - 112, 10*e^12 - 71*e^11 + 66*e^10 + 586*e^9 - 1370*e^8 - 898*e^7 + 4808*e^6 - 1507*e^5 - 5611*e^4 + 3516*e^3 + 1699*e^2 - 936*e - 246, e^12 - 9*e^11 + 24*e^10 + 39*e^9 - 302*e^8 + 240*e^7 + 952*e^6 - 1279*e^5 - 1142*e^4 + 1698*e^3 + 562*e^2 - 528*e - 140, -8*e^12 + 70*e^11 - 122*e^10 - 513*e^9 + 1797*e^8 + 229*e^7 - 5996*e^6 + 3486*e^5 + 6747*e^4 - 5504*e^3 - 1774*e^2 + 1324*e + 308, -4*e^12 + 22*e^11 + 3*e^10 - 203*e^9 + 252*e^8 + 504*e^7 - 1043*e^6 - 270*e^5 + 1462*e^4 - 253*e^3 - 768*e^2 + 110*e + 112, -e^12 + 8*e^11 - 6*e^10 - 79*e^9 + 132*e^8 + 250*e^7 - 480*e^6 - 379*e^5 + 620*e^4 + 326*e^3 - 221*e^2 - 132*e - 28, 13/2*e^12 - 75/2*e^11 - 15/2*e^10 + 753/2*e^9 - 815/2*e^8 - 1141*e^7 + 1776*e^6 + 2443/2*e^5 - 4695/2*e^4 - 769/2*e^3 + 759*e^2 + 144*e - 36, 4*e^12 - 11*e^11 - 60*e^10 + 167*e^9 + 309*e^8 - 877*e^7 - 630*e^6 + 1856*e^5 + 425*e^4 - 1446*e^3 + 79*e^2 + 270*e, 10*e^12 - 66*e^11 + 33*e^10 + 602*e^9 - 1065*e^8 - 1416*e^7 + 4015*e^6 + 428*e^5 - 4917*e^4 + 1084*e^3 + 1460*e^2 - 148*e - 118, 3*e^12 - 19*e^11 + 17*e^10 + 128*e^9 - 350*e^8 + 56*e^7 + 1062*e^6 - 1346*e^5 - 896*e^4 + 2028*e^3 + 83*e^2 - 504*e - 112, -5*e^12 + 40*e^11 - 47*e^10 - 344*e^9 + 849*e^8 + 640*e^7 - 3015*e^6 + 444*e^5 + 3565*e^4 - 1441*e^3 - 966*e^2 + 256*e + 110, 7*e^12 - 51*e^11 + 53*e^10 + 415*e^9 - 1027*e^8 - 590*e^7 + 3566*e^6 - 1218*e^5 - 4107*e^4 + 2603*e^3 + 1168*e^2 - 691*e - 144, 6*e^12 - 58*e^11 + 114*e^10 + 419*e^9 - 1563*e^8 - 158*e^7 + 5096*e^6 - 2832*e^5 - 5620*e^4 + 4294*e^3 + 1393*e^2 - 989*e - 212, 5*e^12 - 30*e^11 + 4*e^10 + 270*e^9 - 373*e^8 - 618*e^7 + 1318*e^6 + 164*e^5 - 1292*e^4 + 502*e^3 + 96*e^2 - 94*e + 18, 3*e^11 - 4*e^10 - 59*e^9 + 68*e^8 + 421*e^7 - 384*e^6 - 1323*e^5 + 797*e^4 + 1714*e^3 - 413*e^2 - 518*e - 44, e^12 - 8*e^11 + 21*e^10 + 26*e^9 - 276*e^8 + 345*e^7 + 868*e^6 - 1773*e^5 - 929*e^4 + 2520*e^3 + 381*e^2 - 764*e - 174, 5*e^12 - 37*e^11 + 40*e^10 + 302*e^9 - 743*e^8 - 475*e^7 + 2506*e^6 - 540*e^5 - 2742*e^4 + 1214*e^3 + 574*e^2 - 188*e - 16, 16*e^12 - 102*e^11 + 34*e^10 + 946*e^9 - 1516*e^8 - 2310*e^7 + 5855*e^6 + 824*e^5 - 7263*e^4 + 1886*e^3 + 2266*e^2 - 456*e - 192, 5*e^12 - 38*e^11 + 44*e^10 + 310*e^9 - 806*e^8 - 431*e^7 + 2823*e^6 - 1024*e^5 - 3314*e^4 + 2192*e^3 + 1003*e^2 - 570*e - 176, 4*e^12 - 30*e^11 + 31*e^10 + 259*e^9 - 611*e^8 - 497*e^7 + 2186*e^6 - 232*e^5 - 2530*e^4 + 836*e^3 + 550*e^2 - 10*e - 16, -4*e^12 + 21*e^11 + 8*e^10 - 192*e^9 + 178*e^8 + 461*e^7 - 613*e^6 - 204*e^5 + 267*e^4 - 174*e^3 + 546*e^2 - 154*e - 132, 25*e^12 - 157*e^11 + 45*e^10 + 1452*e^9 - 2254*e^8 - 3565*e^7 + 8622*e^6 + 1562*e^5 - 10503*e^4 + 2240*e^3 + 3133*e^2 - 532*e - 238, -3*e^12 + 7*e^11 + 56*e^10 - 137*e^9 - 347*e^8 + 901*e^7 + 846*e^6 - 2408*e^5 - 761*e^4 + 2503*e^3 + 143*e^2 - 616*e - 46, -2*e^12 - 3*e^11 + 77*e^10 - 62*e^9 - 646*e^8 + 873*e^7 + 1900*e^6 - 3029*e^5 - 2003*e^4 + 3541*e^3 + 460*e^2 - 834*e - 124, 3*e^12 - 23*e^11 + 30*e^10 + 184*e^9 - 526*e^8 - 229*e^7 + 1834*e^6 - 665*e^5 - 2014*e^4 + 1189*e^3 + 229*e^2 - 196*e + 16, -6*e^12 + 36*e^11 - 3*e^10 - 335*e^9 + 456*e^8 + 820*e^7 - 1768*e^6 - 251*e^5 + 2100*e^4 - 883*e^3 - 603*e^2 + 391*e + 80, -9*e^12 + 64*e^11 - 56*e^10 - 539*e^9 + 1199*e^8 + 919*e^7 - 4211*e^6 + 1006*e^5 + 4828*e^4 - 2722*e^3 - 1273*e^2 + 700*e + 144, -e^12 + 15*e^11 - 41*e^10 - 101*e^9 + 477*e^8 - 39*e^7 - 1473*e^6 + 1009*e^5 + 1508*e^4 - 1465*e^3 - 312*e^2 + 359*e + 84, 10*e^12 - 67*e^11 + 54*e^10 + 544*e^9 - 1243*e^8 - 733*e^7 + 4351*e^6 - 1882*e^5 - 4833*e^4 + 3893*e^3 + 1118*e^2 - 944*e - 178, -3*e^12 + 24*e^11 - 29*e^10 - 202*e^9 + 517*e^8 + 337*e^7 - 1865*e^6 + 455*e^5 + 2442*e^4 - 1266*e^3 - 1102*e^2 + 436*e + 176, 29/2*e^12 - 203/2*e^11 + 145/2*e^10 + 1805/2*e^9 - 3553/2*e^8 - 1955*e^7 + 6437*e^6 + 47/2*e^5 - 15195/2*e^4 + 4759/2*e^3 + 2049*e^2 - 526*e - 126, 4*e^12 - 25*e^11 + 5*e^10 + 247*e^9 - 375*e^8 - 692*e^7 + 1617*e^6 + 466*e^5 - 2216*e^4 + 273*e^3 + 714*e^2 - 80*e - 38, 2*e^12 - 8*e^11 - 17*e^10 + 88*e^9 + 41*e^8 - 334*e^7 - 51*e^6 + 583*e^5 - 390*e^3 + 122*e^2 - 4*e + 32, 4*e^12 - 31*e^11 + 38*e^10 + 246*e^9 - 650*e^8 - 313*e^7 + 2133*e^6 - 779*e^5 - 2186*e^4 + 1434*e^3 + 271*e^2 - 265*e - 8, 13/2*e^12 - 89/2*e^11 + 55/2*e^10 + 805/2*e^9 - 1515/2*e^8 - 912*e^7 + 2840*e^6 + 223/2*e^5 - 7057/2*e^4 + 2019/2*e^3 + 1129*e^2 - 262*e - 86, e^12 - 13*e^11 + 21*e^10 + 146*e^9 - 320*e^8 - 604*e^7 + 1282*e^6 + 1351*e^5 - 1967*e^4 - 1592*e^3 + 887*e^2 + 502*e - 8, 3/2*e^12 - 9/2*e^11 - 33/2*e^10 + 93/2*e^9 + 141/2*e^8 - 140*e^7 - 190*e^6 + 195/2*e^5 + 611/2*e^4 + 213/2*e^3 - 147*e^2 - 64*e - 6, -14*e^12 + 94*e^11 - 56*e^10 - 836*e^9 + 1583*e^8 + 1769*e^7 - 5861*e^6 + 335*e^5 + 7074*e^4 - 2916*e^3 - 2146*e^2 + 722*e + 236, -5*e^12 + 39*e^11 - 57*e^10 - 278*e^9 + 909*e^8 + 29*e^7 - 2989*e^6 + 2386*e^5 + 3292*e^4 - 3900*e^3 - 1032*e^2 + 1122*e + 264, 12*e^12 - 83*e^11 + 65*e^10 + 703*e^9 - 1498*e^8 - 1228*e^7 + 5283*e^6 - 1221*e^5 - 6020*e^4 + 3480*e^3 + 1569*e^2 - 820*e - 168, -2*e^12 + 7*e^11 + 17*e^10 - 63*e^9 - 52*e^8 + 140*e^7 + 141*e^6 + 25*e^5 - 156*e^4 - 388*e^3 - 171*e^2 + 264*e + 104, -13*e^12 + 81*e^11 - 16*e^10 - 764*e^9 + 1099*e^8 + 1987*e^7 - 4277*e^6 - 1231*e^5 + 5318*e^4 - 803*e^3 - 1733*e^2 + 276*e + 140, -3/2*e^12 + 9/2*e^11 + 45/2*e^10 - 123/2*e^9 - 271/2*e^8 + 295*e^7 + 409*e^6 - 1147/2*e^5 - 1105/2*e^4 + 681/2*e^3 + 195*e^2 - 28*e - 62, 13/2*e^12 - 87/2*e^11 + 63/2*e^10 + 711/2*e^9 - 1507/2*e^8 - 508*e^7 + 2569*e^6 - 2205/2*e^5 - 5489/2*e^4 + 4973/2*e^3 + 627*e^2 - 738*e - 92, 7*e^12 - 45*e^11 + 16*e^10 + 416*e^9 - 676*e^8 - 990*e^7 + 2590*e^6 + 209*e^5 - 3101*e^4 + 1021*e^3 + 805*e^2 - 172*e - 78, 3*e^12 - 28*e^11 + 50*e^10 + 217*e^9 - 739*e^8 - 193*e^7 + 2603*e^6 - 1196*e^5 - 3345*e^4 + 2232*e^3 + 1390*e^2 - 690*e - 196, -3*e^12 + 29*e^11 - 62*e^10 - 195*e^9 + 838*e^8 - 91*e^7 - 2751*e^6 + 2055*e^5 + 3077*e^4 - 2962*e^3 - 847*e^2 + 658*e + 172, -15/2*e^12 + 119/2*e^11 - 135/2*e^10 - 1043/2*e^9 + 2491/2*e^8 + 1095*e^7 - 4483*e^6 - 17/2*e^5 + 11029/2*e^4 - 2227/2*e^3 - 1653*e^2 + 126*e + 84, 24*e^11 - 126*e^10 - 70*e^9 + 1249*e^8 - 966*e^7 - 3729*e^6 + 4284*e^5 + 4005*e^4 - 5138*e^3 - 1199*e^2 + 1300*e + 292, 13*e^12 - 90*e^11 + 63*e^10 + 793*e^9 - 1562*e^8 - 1670*e^7 + 5625*e^6 - 119*e^5 - 6593*e^4 + 2174*e^3 + 1778*e^2 - 436*e - 162, -5*e^12 + 32*e^11 - 15*e^10 - 274*e^9 + 484*e^8 + 511*e^7 - 1667*e^6 + 325*e^5 + 1745*e^4 - 1176*e^3 - 384*e^2 + 276*e + 70, -2*e^11 - 8*e^10 + 85*e^9 + 18*e^8 - 729*e^7 + 331*e^6 + 2188*e^5 - 1192*e^4 - 2431*e^3 + 972*e^2 + 516*e - 34, 9*e^12 - 53*e^11 + 2*e^10 + 499*e^9 - 680*e^8 - 1258*e^7 + 2769*e^6 + 509*e^5 - 3555*e^4 + 1044*e^3 + 1234*e^2 - 300*e - 124, 4*e^12 - 30*e^11 + 30*e^10 + 253*e^9 - 579*e^8 - 444*e^7 + 1965*e^6 - 367*e^5 - 2074*e^4 + 998*e^3 + 308*e^2 - 64*e + 18, e^12 + 5*e^11 - 53*e^10 + 8*e^9 + 458*e^8 - 407*e^7 - 1323*e^6 + 1409*e^5 + 1425*e^4 - 1494*e^3 - 382*e^2 + 441*e + 48, -4*e^12 + 40*e^11 - 76*e^10 - 322*e^9 + 1096*e^8 + 422*e^7 - 3889*e^6 + 1088*e^5 + 4963*e^4 - 2118*e^3 - 1784*e^2 + 540*e + 172, 10*e^12 - 51*e^11 - 44*e^10 + 543*e^9 - 271*e^8 - 1881*e^7 + 1456*e^6 + 2750*e^5 - 1772*e^4 - 1803*e^3 + 219*e^2 + 592*e + 126, 6*e^12 - 33*e^11 - 16*e^10 + 345*e^9 - 288*e^8 - 1126*e^7 + 1360*e^6 + 1362*e^5 - 1713*e^4 - 527*e^3 + 330*e^2 + 152*e - 4, -15*e^12 + 90*e^11 - 5*e^10 - 857*e^9 + 1123*e^8 + 2301*e^7 - 4407*e^6 - 1732*e^5 + 5248*e^4 - 292*e^3 - 1314*e^2 + 74, 5*e^12 - 30*e^11 + 9*e^10 + 252*e^9 - 418*e^8 - 424*e^7 + 1426*e^6 - 500*e^5 - 1366*e^4 + 1332*e^3 + 124*e^2 - 314*e - 50, 3*e^12 - 25*e^11 + 36*e^10 + 190*e^9 - 549*e^8 - 186*e^7 + 1733*e^6 - 750*e^5 - 1809*e^4 + 1236*e^3 + 465*e^2 - 270*e - 112, 45/2*e^12 - 291/2*e^11 + 135/2*e^10 + 2587/2*e^9 - 4531/2*e^8 - 2792*e^7 + 8284*e^6 - 105/2*e^5 - 19317/2*e^4 + 7251/2*e^3 + 2649*e^2 - 814*e - 260, 7*e^12 - 45*e^11 + 11*e^10 + 431*e^9 - 610*e^8 - 1198*e^7 + 2333*e^6 + 1113*e^5 - 2870*e^4 - 191*e^3 + 895*e^2 + 20*e - 52, 35/2*e^12 - 231/2*e^11 + 101/2*e^10 + 2131/2*e^9 - 3505/2*e^8 - 2660*e^7 + 6481*e^6 + 3203/2*e^5 - 15327/2*e^4 + 1361/2*e^3 + 1981*e^2 - 12*e - 20, 15*e^12 - 92*e^11 + 17*e^10 + 855*e^9 - 1234*e^8 - 2141*e^7 + 4700*e^6 + 1121*e^5 - 5546*e^4 + 1040*e^3 + 1510*e^2 - 205*e - 156, 7*e^12 - 46*e^11 + 29*e^10 + 393*e^9 - 783*e^8 - 732*e^7 + 2829*e^6 - 442*e^5 - 3436*e^4 + 1643*e^3 + 1230*e^2 - 516*e - 176, -2*e^12 + 24*e^11 - 52*e^10 - 196*e^9 + 694*e^8 + 276*e^7 - 2386*e^6 + 603*e^5 + 2778*e^4 - 1197*e^3 - 600*e^2 + 226*e + 14, 3*e^12 - 20*e^11 + 13*e^10 + 171*e^9 - 351*e^8 - 283*e^7 + 1301*e^6 - 501*e^5 - 1586*e^4 + 1370*e^3 + 539*e^2 - 530*e - 112, 14*e^12 - 94*e^11 + 57*e^10 + 830*e^9 - 1565*e^8 - 1775*e^7 + 5672*e^6 + 29*e^5 - 6708*e^4 + 2058*e^3 + 1882*e^2 - 428*e - 116, -8*e^12 + 59*e^11 - 56*e^10 - 514*e^9 + 1159*e^8 + 1024*e^7 - 4191*e^6 + 332*e^5 + 5009*e^4 - 1632*e^3 - 1342*e^2 + 192*e + 112, -3*e^12 + 32*e^11 - 76*e^10 - 204*e^9 + 961*e^8 - 194*e^7 - 3030*e^6 + 2471*e^5 + 3222*e^4 - 3462*e^3 - 788*e^2 + 891*e + 188, 2*e^12 - 14*e^11 + 162*e^9 - 159*e^8 - 669*e^7 + 703*e^6 + 1354*e^5 - 953*e^4 - 1389*e^3 + 231*e^2 + 464*e + 38, 16*e^12 - 108*e^11 + 73*e^10 + 926*e^9 - 1849*e^8 - 1734*e^7 + 6548*e^6 - 1062*e^5 - 7500*e^4 + 3848*e^3 + 2074*e^2 - 952*e - 220, 9*e^12 - 58*e^11 + 22*e^10 + 533*e^9 - 863*e^8 - 1294*e^7 + 3204*e^6 + 567*e^5 - 3677*e^4 + 730*e^3 + 747*e^2 - 68*e + 26, 16*e^12 - 112*e^11 + 84*e^10 + 972*e^9 - 1961*e^8 - 1939*e^7 + 6866*e^6 - 528*e^5 - 7625*e^4 + 3074*e^3 + 1647*e^2 - 612*e - 116, 6*e^12 - 41*e^11 + 34*e^10 + 337*e^9 - 762*e^8 - 504*e^7 + 2682*e^6 - 920*e^5 - 3116*e^4 + 2108*e^3 + 934*e^2 - 594*e - 96, -e^12 + 13*e^11 - 17*e^10 - 156*e^9 + 283*e^8 + 683*e^7 - 1158*e^6 - 1488*e^5 + 1665*e^4 + 1640*e^3 - 514*e^2 - 562*e - 82, 14*e^11 - 68*e^10 - 62*e^9 + 690*e^8 - 356*e^7 - 2144*e^6 + 1876*e^5 + 2403*e^4 - 2272*e^3 - 661*e^2 + 522*e + 92, 9*e^12 - 55*e^11 + 8*e^10 + 523*e^9 - 741*e^8 - 1389*e^7 + 2956*e^6 + 959*e^5 - 3722*e^4 + 340*e^3 + 1096*e^2 - 60*e - 22, 16*e^12 - 107*e^11 + 55*e^10 + 986*e^9 - 1741*e^8 - 2387*e^7 + 6638*e^6 + 902*e^5 - 8368*e^4 + 1740*e^3 + 2774*e^2 - 452*e - 218, 21/2*e^12 - 149/2*e^11 + 133/2*e^10 + 1237/2*e^9 - 2805/2*e^8 - 972*e^7 + 4875*e^6 - 3039/2*e^5 - 10993/2*e^4 + 7243/2*e^3 + 1433*e^2 - 846*e - 204, 3*e^12 - 19*e^11 + 3*e^10 + 184*e^9 - 249*e^8 - 513*e^7 + 990*e^6 + 424*e^5 - 1273*e^4 + 70*e^3 + 424*e^2 - 88*e + 2, 17/2*e^12 - 101/2*e^11 + 7/2*e^10 + 949/2*e^9 - 1297/2*e^8 - 1209*e^7 + 2572*e^6 + 1227/2*e^5 - 6329/2*e^4 + 1519/2*e^3 + 927*e^2 - 248*e - 68, 5/2*e^12 - 27/2*e^11 - 27/2*e^10 + 319/2*e^9 - 105/2*e^8 - 664*e^7 + 406*e^6 + 2519/2*e^5 - 1627/2*e^4 - 2003/2*e^3 + 605*e^2 + 140*e - 50, 6*e^12 - 42*e^11 + 44*e^10 + 326*e^9 - 867*e^8 - 305*e^7 + 3028*e^6 - 1674*e^5 - 3548*e^4 + 3041*e^3 + 1139*e^2 - 842*e - 220, -14*e^12 + 94*e^11 - 63*e^10 - 814*e^9 + 1631*e^8 + 1598*e^7 - 5904*e^6 + 597*e^5 + 7018*e^4 - 2859*e^3 - 2030*e^2 + 670*e + 148, 31/2*e^12 - 185/2*e^11 + 7/2*e^10 + 1755/2*e^9 - 2279/2*e^8 - 2327*e^7 + 4488*e^6 + 3239/2*e^5 - 10907/2*e^4 + 1279/2*e^3 + 1561*e^2 - 262*e - 50, 2*e^12 - 8*e^11 + 4*e^10 + 4*e^9 - 119*e^8 + 547*e^7 + 104*e^6 - 2284*e^5 + 627*e^4 + 2890*e^3 - 716*e^2 - 703*e - 32, -13*e^12 + 87*e^11 - 55*e^10 - 758*e^9 + 1486*e^8 + 1492*e^7 - 5424*e^6 + 693*e^5 + 6476*e^4 - 3087*e^3 - 1953*e^2 + 888*e + 246, -12*e^12 + 85*e^11 - 81*e^10 - 684*e^9 + 1616*e^8 + 950*e^7 - 5408*e^6 + 1912*e^5 + 5762*e^4 - 3912*e^3 - 1233*e^2 + 843*e + 128, -3*e^12 + 21*e^11 - 24*e^10 - 149*e^9 + 416*e^8 + 54*e^7 - 1232*e^6 + 911*e^5 + 977*e^4 - 1251*e^3 + 102*e^2 + 158*e - 22, 6*e^11 - 25*e^10 - 49*e^9 + 280*e^8 + 73*e^7 - 1035*e^6 + 126*e^5 + 1530*e^4 - 292*e^3 - 740*e^2 + 110*e + 70, 3/2*e^12 - 23/2*e^11 + 5/2*e^10 + 263/2*e^9 - 283/2*e^8 - 541*e^7 + 584*e^6 + 2251/2*e^5 - 1541/2*e^4 - 2415/2*e^3 + 155*e^2 + 430*e + 116, -11*e^12 + 75*e^11 - 47*e^10 - 673*e^9 + 1262*e^8 + 1536*e^7 - 4605*e^6 - 465*e^5 + 5483*e^4 - 986*e^3 - 1501*e^2 + 50*e + 72, 9*e^12 - 68*e^11 + 68*e^10 + 583*e^9 - 1320*e^8 - 1134*e^7 + 4628*e^6 - 316*e^5 - 5579*e^4 + 1733*e^3 + 1886*e^2 - 386*e - 168, -e^11 + 14*e^10 - 31*e^9 - 128*e^8 + 413*e^7 + 315*e^6 - 1497*e^5 - 220*e^4 + 1962*e^3 + 117*e^2 - 608*e - 138, 3*e^12 - 35*e^11 + 86*e^10 + 232*e^9 - 1064*e^8 + 118*e^7 + 3331*e^6 - 2355*e^5 - 3377*e^4 + 3164*e^3 + 449*e^2 - 538*e - 24, -9*e^12 + 62*e^11 - 37*e^10 - 566*e^9 + 1027*e^8 + 1341*e^7 - 3785*e^6 - 470*e^5 + 4476*e^4 - 881*e^3 - 1100*e^2 + 58*e + 52, 5*e^12 - 45*e^11 + 70*e^10 + 375*e^9 - 1092*e^8 - 623*e^7 + 3861*e^6 - 674*e^5 - 4837*e^4 + 1670*e^3 + 1689*e^2 - 365*e - 168, -5*e^12 + 24*e^11 + 28*e^10 - 264*e^9 + 83*e^8 + 964*e^7 - 611*e^6 - 1504*e^5 + 820*e^4 + 1038*e^3 - 61*e^2 - 280*e - 138, 6*e^12 - 26*e^11 - 53*e^10 + 324*e^9 + 91*e^8 - 1437*e^7 + 181*e^6 + 2891*e^5 - 462*e^4 - 2620*e^3 + 53*e^2 + 794*e + 68, e^12 - 4*e^11 - 9*e^10 + 42*e^9 + 27*e^8 - 121*e^7 - 88*e^6 + 25*e^5 + 313*e^4 + 235*e^3 - 389*e^2 - 128*e + 54, 21/2*e^12 - 149/2*e^11 + 127/2*e^10 + 1263/2*e^9 - 2747/2*e^8 - 1133*e^7 + 4798*e^6 - 1713/2*e^5 - 10871/2*e^4 + 5245/2*e^3 + 1353*e^2 - 544*e - 158, 5*e^12 - 26*e^11 - 14*e^10 + 253*e^9 - 199*e^8 - 740*e^7 + 847*e^6 + 837*e^5 - 981*e^4 - 413*e^3 + 219*e^2 + 132*e + 46, -29/2*e^12 + 189/2*e^11 - 89/2*e^10 - 1687/2*e^9 + 2933/2*e^8 + 1847*e^7 - 5323*e^6 - 123/2*e^5 + 12161/2*e^4 - 4561/2*e^3 - 1537*e^2 + 546*e + 142, 8*e^12 - 50*e^11 + 7*e^10 + 483*e^9 - 645*e^8 - 1353*e^7 + 2486*e^6 + 1235*e^5 - 2827*e^4 - 272*e^3 + 400*e^2 + 256*e + 120, -3/2*e^12 + 25/2*e^11 - 41/2*e^10 - 175/2*e^9 + 577/2*e^8 + 35*e^7 - 826*e^6 + 897/2*e^5 + 1217/2*e^4 - 989/2*e^3 + 187*e^2 - 20*e - 64, 15*e^12 - 102*e^11 + 63*e^10 + 914*e^9 - 1728*e^8 - 2016*e^7 + 6403*e^6 + 75*e^5 - 7809*e^4 + 2509*e^3 + 2386*e^2 - 672*e - 226, 10*e^12 - 74*e^11 + 77*e^10 + 611*e^9 - 1486*e^8 - 922*e^7 + 5138*e^6 - 1669*e^5 - 5655*e^4 + 3712*e^3 + 1130*e^2 - 848*e - 136, -3*e^12 + 7*e^11 + 44*e^10 - 89*e^9 - 263*e^8 + 415*e^7 + 814*e^6 - 894*e^5 - 1203*e^4 + 769*e^3 + 643*e^2 - 114*e - 64, 13*e^12 - 70*e^11 - 42*e^10 + 740*e^9 - 540*e^8 - 2513*e^7 + 2696*e^6 + 3476*e^5 - 3755*e^4 - 1968*e^3 + 1287*e^2 + 494*e + 12, 9/2*e^12 - 45/2*e^11 - 43/2*e^10 + 493/2*e^9 - 241/2*e^8 - 898*e^7 + 761*e^6 + 2821/2*e^5 - 2453/2*e^4 - 1949/2*e^3 + 615*e^2 + 260*e - 82, e^12 - e^11 - 20*e^10 + 25*e^9 + 126*e^8 - 183*e^7 - 253*e^6 + 480*e^5 - 122*e^4 - 335*e^3 + 656*e^2 - 98*e - 120, 20*e^12 - 146*e^11 + 138*e^10 + 1246*e^9 - 2841*e^8 - 2268*e^7 + 10130*e^6 - 1722*e^5 - 12007*e^4 + 5444*e^3 + 3462*e^2 - 1320*e - 364, 11/2*e^12 - 49/2*e^11 - 103/2*e^10 + 647/2*e^9 + 189/2*e^8 - 1533*e^7 + 257*e^6 + 6453/2*e^5 - 1721/2*e^4 - 5693/2*e^3 + 563*e^2 + 636*e + 36, e^12 - 12*e^11 + 17*e^10 + 127*e^9 - 246*e^8 - 498*e^7 + 854*e^6 + 1162*e^5 - 1074*e^4 - 1509*e^3 + 258*e^2 + 552*e + 76, 12*e^12 - 83*e^11 + 67*e^10 + 691*e^9 - 1496*e^8 - 1125*e^7 + 5137*e^6 - 1431*e^5 - 5520*e^4 + 3512*e^3 + 1040*e^2 - 732*e - 76, 5*e^12 - 36*e^11 + 38*e^10 + 277*e^9 - 709*e^8 - 246*e^7 + 2290*e^6 - 1426*e^5 - 2149*e^4 + 2462*e^3 + 41*e^2 - 489*e, 7*e^12 - 47*e^11 + 25*e^10 + 437*e^9 - 784*e^8 - 1078*e^7 + 3024*e^6 + 460*e^5 - 3768*e^4 + 624*e^3 + 1032*e^2 - 52*e - 68, -10*e^12 + 67*e^11 - 44*e^10 - 568*e^9 + 1124*e^8 + 1012*e^7 - 3908*e^6 + 855*e^5 + 4328*e^4 - 2638*e^3 - 1136*e^2 + 706*e + 168, 24*e^12 - 162*e^11 + 108*e^10 + 1403*e^9 - 2771*e^8 - 2776*e^7 + 9900*e^6 - 861*e^5 - 11527*e^4 + 4621*e^3 + 3254*e^2 - 993*e - 304, 9*e^12 - 59*e^11 + 31*e^10 + 515*e^9 - 921*e^8 - 1074*e^7 + 3225*e^6 - 8*e^5 - 3569*e^4 + 1217*e^3 + 864*e^2 - 226*e - 56, -21*e^12 + 137*e^11 - 72*e^10 - 1203*e^9 + 2214*e^8 + 2445*e^7 - 8069*e^6 + 781*e^5 + 9350*e^4 - 4398*e^3 - 2432*e^2 + 984*e + 264, -2*e^12 + 30*e^11 - 87*e^10 - 202*e^9 + 1031*e^8 - 51*e^7 - 3368*e^6 + 1775*e^5 + 3941*e^4 - 2365*e^3 - 1162*e^2 + 456*e + 98, e^12 - 13*e^11 + 42*e^10 + 56*e^9 - 464*e^8 + 332*e^7 + 1312*e^6 - 1685*e^5 - 1155*e^4 + 1988*e^3 + 114*e^2 - 356*e - 58, 15/2*e^12 - 127/2*e^11 + 199/2*e^10 + 971/2*e^9 - 3101/2*e^8 - 374*e^7 + 5290*e^6 - 5701/2*e^5 - 12147/2*e^4 + 9917/2*e^3 + 1685*e^2 - 1296*e - 306, -6*e^12 + 49*e^11 - 85*e^10 - 328*e^9 + 1252*e^8 - 149*e^7 - 4037*e^6 + 3370*e^5 + 4288*e^4 - 4858*e^3 - 1012*e^2 + 1152*e + 248, 7*e^12 - 60*e^11 + 108*e^10 + 411*e^9 - 1551*e^8 + 70*e^7 + 5024*e^6 - 3718*e^5 - 5565*e^4 + 5546*e^3 + 1688*e^2 - 1468*e - 334, -11*e^12 + 74*e^11 - 45*e^10 - 659*e^9 + 1239*e^8 + 1455*e^7 - 4502*e^6 - 220*e^5 + 5222*e^4 - 1309*e^3 - 1192*e^2 + 180*e + 12, -2*e^12 + 2*e^11 + 49*e^10 - 74*e^9 - 350*e^8 + 599*e^7 + 945*e^6 - 1683*e^5 - 1003*e^4 + 1729*e^3 + 320*e^2 - 420*e - 140, -5*e^12 + 30*e^11 + 4*e^10 - 303*e^9 + 315*e^8 + 958*e^7 - 1268*e^6 - 1261*e^5 + 1459*e^4 + 851*e^3 - 235*e^2 - 399*e - 72, -20*e^12 + 130*e^11 - 64*e^10 - 1150*e^9 + 2044*e^8 + 2462*e^7 - 7412*e^6 + 26*e^5 + 8622*e^4 - 3083*e^3 - 2430*e^2 + 687*e + 260, 15/2*e^12 - 107/2*e^11 + 91/2*e^10 + 915/2*e^9 - 1983/2*e^8 - 837*e^7 + 3503*e^6 - 1259/2*e^5 - 8045/2*e^4 + 3995/2*e^3 + 1049*e^2 - 428*e - 86, 20*e^12 - 132*e^11 + 72*e^10 + 1169*e^9 - 2154*e^8 - 2458*e^7 + 7876*e^6 - 418*e^5 - 9172*e^4 + 3811*e^3 + 2392*e^2 - 794*e - 184, 19*e^12 - 132*e^11 + 99*e^10 + 1146*e^9 - 2357*e^8 - 2238*e^7 + 8438*e^6 - 1026*e^5 - 9698*e^4 + 4375*e^3 + 2344*e^2 - 982*e - 232, -7*e^12 + 56*e^11 - 82*e^10 - 414*e^9 + 1297*e^8 + 235*e^7 - 4279*e^6 + 2567*e^5 + 4743*e^4 - 4156*e^3 - 1338*e^2 + 1018*e + 212, -5*e^12 + 37*e^11 - 36*e^10 - 320*e^9 + 727*e^8 + 639*e^7 - 2610*e^6 + 132*e^5 + 3214*e^4 - 912*e^3 - 1078*e^2 + 156*e + 68, 12*e^12 - 61*e^11 - 62*e^10 + 689*e^9 - 281*e^8 - 2628*e^7 + 1921*e^6 + 4334*e^5 - 3035*e^4 - 3078*e^3 + 1209*e^2 + 738*e - 32, -11*e^12 + 66*e^11 - 643*e^9 + 790*e^8 + 1851*e^7 - 3142*e^6 - 1877*e^5 + 3721*e^4 + 666*e^3 - 734*e^2 - 367*e - 64, 2*e^12 - 18*e^11 + 30*e^10 + 140*e^9 - 446*e^8 - 146*e^7 + 1494*e^6 - 595*e^5 - 1650*e^4 + 1035*e^3 + 298*e^2 - 264*e + 8, -12*e^12 + 87*e^11 - 77*e^10 - 753*e^9 + 1645*e^8 + 1454*e^7 - 5865*e^6 + 720*e^5 + 6805*e^4 - 2866*e^3 - 1750*e^2 + 592*e + 216, -5*e^12 + 36*e^11 - 30*e^10 - 307*e^9 + 636*e^8 + 590*e^7 - 2159*e^6 + 188*e^5 + 2412*e^4 - 1033*e^3 - 670*e^2 + 394*e + 20, -27*e^12 + 177*e^11 - 95*e^10 - 1562*e^9 + 2868*e^8 + 3283*e^7 - 10413*e^6 + 372*e^5 + 11952*e^4 - 4580*e^3 - 2867*e^2 + 906*e + 204, 4*e^12 - 30*e^11 + 37*e^10 + 232*e^9 - 658*e^8 - 205*e^7 + 2278*e^6 - 1265*e^5 - 2670*e^4 + 2326*e^3 + 865*e^2 - 700*e - 164, 7*e^12 - 54*e^11 + 71*e^10 + 414*e^9 - 1204*e^8 - 339*e^7 + 4038*e^6 - 2302*e^5 - 4266*e^4 + 3954*e^3 + 661*e^2 - 902*e - 84, 3*e^12 - 20*e^11 + 19*e^10 + 136*e^9 - 350*e^8 + 18*e^7 + 947*e^6 - 1154*e^5 - 551*e^4 + 1711*e^3 - 208*e^2 - 459*e - 16, 8*e^12 - 54*e^11 + 36*e^10 + 470*e^9 - 938*e^8 - 926*e^7 + 3427*e^6 - 412*e^5 - 4140*e^4 + 1899*e^3 + 1301*e^2 - 581*e - 168, -4*e^12 + 40*e^11 - 76*e^10 - 311*e^9 + 1065*e^8 + 317*e^7 - 3597*e^6 + 1387*e^5 + 4198*e^4 - 2416*e^3 - 1213*e^2 + 484*e + 116, 21/2*e^12 - 143/2*e^11 + 119/2*e^10 + 1157/2*e^9 - 2639/2*e^8 - 770*e^7 + 4541*e^6 - 4037/2*e^5 - 9915/2*e^4 + 8393/2*e^3 + 1191*e^2 - 1046*e - 256, -9/2*e^12 + 59/2*e^11 - 31/2*e^10 - 509/2*e^9 + 903/2*e^8 + 506*e^7 - 1529*e^6 + 245/2*e^5 + 3173/2*e^4 - 1727/2*e^3 - 359*e^2 + 320*e + 82, -e^12 + 12*e^11 - 41*e^10 - 43*e^9 + 482*e^8 - 457*e^7 - 1535*e^6 + 2374*e^5 + 1771*e^4 - 3364*e^3 - 722*e^2 + 1088*e + 208, 5*e^12 - 40*e^11 + 61*e^10 + 290*e^9 - 956*e^8 - 93*e^7 + 3144*e^6 - 2129*e^5 - 3315*e^4 + 3257*e^3 + 600*e^2 - 644*e - 64, -2*e^12 + 19*e^11 - 24*e^10 - 184*e^9 + 398*e^8 + 547*e^7 - 1418*e^6 - 736*e^5 + 1688*e^4 + 696*e^3 - 344*e^2 - 340*e - 70, 7*e^12 - 56*e^11 + 73*e^10 + 455*e^9 - 1235*e^8 - 668*e^7 + 4247*e^6 - 1126*e^5 - 4941*e^4 + 2377*e^3 + 1367*e^2 - 528*e - 140, -23/2*e^12 + 125/2*e^11 + 53/2*e^10 - 1249/2*e^9 + 1139/2*e^8 + 1852*e^7 - 2583*e^6 - 3463/2*e^5 + 6859/2*e^4 - 241/2*e^3 - 1245*e^2 + 286*e + 166, -e^12 + 10*e^11 - 15*e^10 - 98*e^9 + 252*e^8 + 277*e^7 - 1018*e^6 - 233*e^5 + 1543*e^4 + 11*e^3 - 767*e^2 + 9*e + 104, -15*e^12 + 107*e^11 - 101*e^10 - 874*e^9 + 2040*e^8 + 1293*e^7 - 6930*e^6 + 2270*e^5 + 7490*e^4 - 4928*e^3 - 1570*e^2 + 1026*e + 162, -15*e^12 + 118*e^11 - 145*e^10 - 962*e^9 + 2518*e^8 + 1414*e^7 - 8607*e^6 + 2487*e^5 + 9770*e^4 - 5295*e^3 - 2519*e^2 + 1136*e + 268, 5/2*e^12 - 23/2*e^11 - 33/2*e^10 + 271/2*e^9 - 81/2*e^8 - 522*e^7 + 443*e^6 + 1495/2*e^5 - 1693/2*e^4 - 649/2*e^3 + 469*e^2 + 50*e - 86, -7/2*e^12 + 67/2*e^11 - 135/2*e^10 - 453/2*e^9 + 1787/2*e^8 - 49*e^7 - 2749*e^6 + 3977/2*e^5 + 5393/2*e^4 - 5539/2*e^3 - 405*e^2 + 568*e + 94, 22*e^12 - 145*e^11 + 82*e^10 + 1273*e^9 - 2393*e^8 - 2608*e^7 + 8760*e^6 - 661*e^5 - 10470*e^4 + 4436*e^3 + 3175*e^2 - 1197*e - 340, 3*e^12 - 7*e^11 - 41*e^10 + 68*e^9 + 260*e^8 - 193*e^7 - 986*e^6 + 172*e^5 + 1837*e^4 + 12*e^3 - 1203*e^2 + 40*e + 104, 7*e^12 - 62*e^11 + 107*e^10 + 462*e^9 - 1563*e^8 - 318*e^7 + 5159*e^6 - 2538*e^5 - 5730*e^4 + 4019*e^3 + 1413*e^2 - 900*e - 190, -5*e^12 + 33*e^11 - 26*e^10 - 267*e^9 + 615*e^8 + 359*e^7 - 2207*e^6 + 905*e^5 + 2694*e^4 - 1905*e^3 - 982*e^2 + 528*e + 142, 14*e^12 - 94*e^11 + 65*e^10 + 791*e^9 - 1600*e^8 - 1384*e^7 + 5478*e^6 - 1154*e^5 - 5754*e^4 + 3288*e^3 + 914*e^2 - 600*e - 32, 6*e^12 - 43*e^11 + 36*e^10 + 368*e^9 - 768*e^8 - 720*e^7 + 2607*e^6 - 123*e^5 - 2777*e^4 + 846*e^3 + 464*e^2 - 56*e - 24, -9/2*e^12 + 67/2*e^11 - 59/2*e^10 - 605/2*e^9 + 1281/2*e^8 + 684*e^7 - 2377*e^6 - 193/2*e^5 + 5899/2*e^4 - 1377/2*e^3 - 841*e^2 + 134*e + 54, 14*e^12 - 90*e^11 + 26*e^10 + 860*e^9 - 1287*e^8 - 2357*e^7 + 5001*e^6 + 2050*e^5 - 6215*e^4 - 290*e^3 + 1740*e^2 + 160*e + 18, -16*e^12 + 96*e^11 - 4*e^10 - 920*e^9 + 1190*e^8 + 2516*e^7 - 4721*e^6 - 2042*e^5 + 5752*e^4 - 125*e^3 - 1530*e^2 - 20*e, -7*e^12 + 43*e^11 - 11*e^10 - 381*e^9 + 581*e^8 + 821*e^7 - 2073*e^6 + e^5 + 2253*e^4 - 1086*e^3 - 517*e^2 + 270*e + 24, 4*e^12 - 36*e^11 + 65*e^10 + 265*e^9 - 945*e^8 - 130*e^7 + 3189*e^6 - 1752*e^5 - 3741*e^4 + 2775*e^3 + 1202*e^2 - 648*e - 192, -4*e^12 + 16*e^11 + 43*e^10 - 207*e^9 - 166*e^8 + 1004*e^7 + 334*e^6 - 2345*e^5 - 310*e^4 + 2391*e^3 + 125*e^2 - 595*e - 140, 10*e^12 - 72*e^11 + 48*e^10 + 686*e^9 - 1261*e^8 - 1850*e^7 + 4888*e^6 + 1462*e^5 - 6422*e^4 + 30*e^3 + 2189*e^2 + 12*e - 74, -3*e^12 + 19*e^11 - 13*e^10 - 148*e^9 + 331*e^8 + 157*e^7 - 1165*e^6 + 652*e^5 + 1487*e^4 - 1328*e^3 - 761*e^2 + 558*e + 152, -e^12 + 12*e^11 - 35*e^10 - 64*e^9 + 424*e^8 - 225*e^7 - 1348*e^6 + 1519*e^5 + 1416*e^4 - 2066*e^3 - 300*e^2 + 476*e + 126, 7*e^11 - 27*e^10 - 61*e^9 + 303*e^8 + 112*e^7 - 1098*e^6 + 106*e^5 + 1466*e^4 - 264*e^3 - 468*e^2 - 12*e - 12, -39/2*e^12 + 247/2*e^11 - 69/2*e^10 - 2323/2*e^9 + 3545/2*e^8 + 3003*e^7 - 6896*e^6 - 3709/2*e^5 + 17307/2*e^4 - 2159/2*e^3 - 2773*e^2 + 276*e + 210, 4*e^12 - 34*e^11 + 41*e^10 + 311*e^9 - 741*e^8 - 734*e^7 + 2799*e^6 + 206*e^5 - 3835*e^4 + 660*e^3 + 1683*e^2 - 234*e - 184, 13*e^12 - 82*e^11 + 41*e^10 + 687*e^9 - 1294*e^8 - 1125*e^7 + 4533*e^6 - 1568*e^5 - 4910*e^4 + 4081*e^3 + 1172*e^2 - 1176*e - 216, 23*e^11 - 122*e^10 - 53*e^9 + 1173*e^8 - 1044*e^7 - 3261*e^6 + 4331*e^5 + 2898*e^4 - 4916*e^3 - 228*e^2 + 1047*e + 100, -4*e^12 + 24*e^11 - 9*e^10 - 198*e^9 + 353*e^8 + 317*e^7 - 1219*e^6 + 391*e^5 + 1294*e^4 - 927*e^3 - 278*e^2 + 140*e + 36, 5*e^12 - 34*e^11 + 16*e^10 + 331*e^9 - 548*e^8 - 967*e^7 + 2208*e^6 + 1088*e^5 - 3109*e^4 - 543*e^3 + 1298*e^2 + 107*e - 64, 9*e^12 - 70*e^11 + 80*e^10 + 591*e^9 - 1462*e^8 - 1049*e^7 + 5165*e^6 - 811*e^5 - 6255*e^4 + 2440*e^3 + 1997*e^2 - 613*e - 204, -3*e^12 + 19*e^11 + 2*e^10 - 208*e^9 + 224*e^8 + 756*e^7 - 1082*e^6 - 1167*e^5 + 1797*e^4 + 723*e^3 - 992*e^2 - 125*e + 48, 8*e^12 - 55*e^11 + 26*e^10 + 534*e^9 - 879*e^8 - 1495*e^7 + 3464*e^6 + 1255*e^5 - 4473*e^4 + 61*e^3 + 1402*e^2 - 16*e - 58, 3*e^12 - 28*e^11 + 42*e^10 + 247*e^9 - 668*e^8 - 526*e^7 + 2452*e^6 - 3*e^5 - 3342*e^4 + 656*e^3 + 1491*e^2 - 260*e - 174, -3*e^12 + 22*e^11 - 15*e^10 - 210*e^9 + 361*e^8 + 631*e^7 - 1310*e^6 - 954*e^5 + 1693*e^4 + 893*e^3 - 636*e^2 - 228*e - 18, -13/2*e^12 + 111/2*e^11 - 165/2*e^10 - 895/2*e^9 + 2617/2*e^8 + 609*e^7 - 4510*e^6 + 2745/2*e^5 + 10643/2*e^4 - 5503/2*e^3 - 1573*e^2 + 626*e + 192, -14*e^12 + 103*e^11 - 100*e^10 - 880*e^9 + 2021*e^8 + 1635*e^7 - 7193*e^6 + 990*e^5 + 8578*e^4 - 3492*e^3 - 2516*e^2 + 872*e + 238, -5/2*e^12 + 27/2*e^11 - 17/2*e^10 - 155/2*e^9 + 483/2*e^8 - 237*e^7 - 729*e^6 + 3781/2*e^5 + 795/2*e^4 - 5843/2*e^3 + 253*e^2 + 810*e + 78, 7*e^12 - 45*e^11 + 21*e^10 + 395*e^9 - 700*e^8 - 809*e^7 + 2541*e^6 - 214*e^5 - 2966*e^4 + 1428*e^3 + 907*e^2 - 387*e - 124, -18*e^12 + 118*e^11 - 44*e^10 - 1104*e^9 + 1730*e^8 + 2843*e^7 - 6449*e^6 - 1879*e^5 + 7496*e^4 - 547*e^3 - 1723*e^2 - 105*e + 20, -14*e^12 + 88*e^11 - 25*e^10 - 819*e^9 + 1272*e^8 + 2053*e^7 - 4953*e^6 - 1052*e^5 + 6318*e^4 - 1084*e^3 - 2220*e^2 + 320*e + 198, 20*e^12 - 120*e^11 + 13*e^10 + 1114*e^9 - 1536*e^8 - 2774*e^7 + 5840*e^6 + 1377*e^5 - 6610*e^4 + 1464*e^3 + 1260*e^2 - 228*e + 18, 1/2*e^12 - 25/2*e^11 + 105/2*e^10 + 85/2*e^9 - 1093/2*e^8 + 459*e^7 + 1628*e^6 - 4433/2*e^5 - 3609/2*e^4 + 5921/2*e^3 + 795*e^2 - 924*e - 210, -2*e^12 + 26*e^11 - 69*e^10 - 175*e^9 + 847*e^8 - 87*e^7 - 2750*e^6 + 1887*e^5 + 3000*e^4 - 2692*e^3 - 627*e^2 + 528*e + 124, -3*e^12 + 17*e^11 + e^10 - 159*e^9 + 199*e^8 + 413*e^7 - 762*e^6 - 300*e^5 + 787*e^4 - 25*e^3 + 14*e^2 - 22*e - 20, 12*e^12 - 74*e^11 + 18*e^10 + 677*e^9 - 1033*e^8 - 1602*e^7 + 3917*e^6 + 458*e^5 - 4673*e^4 + 1499*e^3 + 1343*e^2 - 512*e - 120, 4*e^12 - 37*e^11 + 60*e^10 + 306*e^9 - 895*e^8 - 528*e^7 + 3024*e^6 - 283*e^5 - 3415*e^4 + 685*e^3 + 620*e^2 + 55*e + 104, -13*e^12 + 98*e^11 - 99*e^10 - 843*e^9 + 1945*e^8 + 1613*e^7 - 6943*e^6 + 760*e^5 + 8450*e^4 - 3092*e^3 - 2766*e^2 + 766*e + 256, -6*e^12 + 46*e^11 - 56*e^10 - 361*e^9 + 979*e^8 + 377*e^7 - 3309*e^6 + 1699*e^5 + 3700*e^4 - 3210*e^3 - 1054*e^2 + 811*e + 188] hecke_eigenvalues = {} for i in range(len(hecke_eigenvalues_array)): hecke_eigenvalues[primes[i]] = hecke_eigenvalues_array[i] AL_eigenvalues = {} AL_eigenvalues[ZF.ideal([19, 19, -w^3 + 3*w - 1])] = 1 # EXAMPLE: # pp = ZF.ideal(2).factor()[0][0] # hecke_eigenvalues[pp]