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hmf_forms • Show schema
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{'deg': 4, 'dimension': 4, 'disc': 17428, 'field_bad_primes': [2, 4357], 'field_label': '4.4.17428.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '4.4.17428.1-6.2-e', 'label_nsuffix': 4, 'label_suffix': 'e', 'level_bad_primes': [2, 3], 'level_ideal': '[6, 6, w^2 - 3]', 'level_label': '6.2', 'level_norm': 6, 'parallel_weight': 2, 'short_label': '6.2-e', 'weight': '[2, 2, 2, 2]'}
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hmf_hecke • Show schema
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{'AL_eigenvalues': [['[2, 2, w + 1]', -1], ['[3, 3, -w^2 + w + 3]', -1]], 'hecke_eigenvalues': ['e', 1, 1, '-e^3 - e^2 + 4*e + 6', '-e^3 - e^2 + 6*e + 2', '-e^3 - e^2 + 6*e + 4', '2*e^3 - 8*e + 2', 'e^3 - 3*e^2 - 6*e + 10', '-e^3 + e^2 + 6*e - 4', '2*e^3 + 2*e^2 - 10*e', '2*e^3 + 2*e^2 - 8*e - 4', 'e^3 + e^2 - 10*e - 4', 'e^3 - 3*e^2 - 4*e + 14', '-e^3 + 3*e^2 + 6*e - 10', '-2*e^3 + 8*e - 2', 'e^3 + e^2 - 8*e + 2', '-2*e^3 + 12*e - 2', 'e^3 + e^2 - 2*e - 4', 'e^3 + 3*e^2 - 6*e - 8', '-e^3 - 3*e^2 - 2*e + 12', '-4*e^3 - 4*e^2 + 16*e + 10', '3*e^3 + 3*e^2 - 14*e - 10', '2*e^3 - 12*e - 6', '3*e^3 + 3*e^2 - 12*e - 14', '-4*e^3 - 4*e^2 + 20*e + 8', '2*e^3 - 2*e^2 - 8*e + 4', '-e^3 - e^2 + 2*e + 2', '-e^3 - e^2 + 2*e + 6', 'e^3 - 3*e^2 - 6*e + 2', '-3*e^3 + e^2 + 18*e + 2', '4*e^3 - 20*e', '-2*e^3 - 2*e^2 + 8*e + 4', '-4*e^3 + 24*e + 2', '-5*e^3 - e^2 + 22*e + 6', '-2*e^3 + 2*e^2 + 8*e - 14', '-4*e^3 + 26*e + 4', '-6*e - 8', '4*e^3 + 4*e^2 - 20*e - 12', '-3*e^3 + e^2 + 10*e - 8', '-e^3 - 5*e^2 + 2*e + 18', '-2*e^3 + 2*e^2 + 16*e - 4', '4*e^2 - 4*e - 16', '-2*e^3 - 6*e^2 + 8*e + 20', '-e^3 + 3*e^2 + 2*e - 8', '4*e^3 - 20*e + 8', '-e^3 + 3*e^2 + 14*e - 14', -18, '-2*e^3 + 2*e^2 + 8*e', '-4*e + 6', '3*e^3 + 5*e^2 - 22*e - 12', '-4*e^3 - 4*e^2 + 22*e + 4', '-4*e^3 - 4*e^2 + 20*e + 10', '-2*e^3 - 6*e^2 + 4*e + 22', '-3*e^3 - 3*e^2 + 22*e + 14', '2*e^3 + 2*e^2 - 12*e - 4', '4*e^2 + 4*e - 16', '-6*e^3 - 2*e^2 + 36*e + 16', '-8*e^2 - 2*e + 24', '-2*e^3 - 2*e^2 + 2*e + 16', '8*e^2 + 4*e - 28', '4*e^3 - 20*e + 14', '5*e^3 + 3*e^2 - 18*e', 'e^3 + 5*e^2 - 10*e - 26', '-3*e^3 - 7*e^2 + 18*e + 14', '2*e^3 + 6*e^2 - 4*e - 24', '2*e^3 - 6*e^2 - 16*e + 28', '4*e^3 + 4*e^2 - 24*e + 2', '-4*e^3 + 4*e^2 + 20*e - 2', '-2*e^3 + 6*e^2 + 8*e - 30', '3*e^3 - e^2 - 14*e + 10', 'e^3 - 3*e^2 - 18*e + 14', '2*e^3 - 6*e^2 - 8*e + 36', 'e^3 + 5*e^2 - 14', 'e^3 + e^2 - 14*e - 18', 'e^3 - e^2 - 10*e - 4', 'e^3 + 11*e^2 - 2*e - 32', '2*e^3 + 2*e^2 - 4*e - 6', '-e^3 - 9*e^2 + 2*e + 30', '-3*e^3 + 9*e^2 + 18*e - 28', '-3*e^3 + e^2 + 8*e - 14', '-e^3 + 7*e^2 + 6*e - 18', '8*e^2 + 14*e - 32', '-6*e + 16', '6*e^3 - 2*e^2 - 24*e + 18', '-5*e^3 - 11*e^2 + 26*e + 20', '-5*e^3 + 5*e^2 + 22*e - 20', '-8*e^3 + 40*e + 12', 'e^3 - 7*e^2 - 4*e + 22', '2*e^3 - 2*e^2 - 8*e + 16', '2*e^3 + 6*e^2 - 16*e - 32', '-2*e^3 - 10*e^2 + 16*e + 32', '2*e^3 + 2*e^2 - 8*e - 20', '4*e^3 + 8*e^2 - 12*e - 20', '9*e^3 + 9*e^2 - 44*e - 14', '7*e^3 + 3*e^2 - 40*e - 6', '6*e^3 + 2*e^2 - 16*e + 4', '-3*e^3 - 7*e^2 + 10*e + 26', '-4*e^2 + 8', '5*e^3 - 3*e^2 - 26*e + 6', '9*e^3 + 5*e^2 - 50*e - 10', '2*e^3 + 6*e^2 - 4*e - 8', '5*e^3 + 9*e^2 - 20*e - 22', '-6*e^3 - 14*e^2 + 28*e + 26', '4*e^3 - 4*e^2 - 22*e', '-e^3 + 3*e^2 + 2*e - 34', '-11*e^3 - 9*e^2 + 50*e + 16', '6*e^3 + 2*e^2 - 20*e - 8', '-6*e^3 + 28*e + 6', '4*e^3 + 12*e^2 - 16*e - 34', '-4*e^3 + 8*e^2 + 12*e - 50', '-4*e^3 - 8*e^2 + 8*e + 20', '4*e^3 + 4*e^2 - 24*e - 22', '4*e^3 + 4*e^2 - 16*e - 40', '5*e^3 - 7*e^2 - 30*e + 28', '-5*e^3 - 3*e^2 + 26*e + 8', '3*e^3 - 5*e^2 - 10*e + 14', '-2*e^3 + 4*e^2 + 4*e - 18', '9*e^3 + e^2 - 46*e + 6', '-2*e^3 + 2*e^2 + 16*e - 24', '-e^3 + 3*e^2 + 18*e - 10', '-2*e^3 + 2*e^2 + 10*e + 4', '-6*e^3 - 6*e^2 + 36*e + 14', '4*e^3 - 8*e^2 - 24*e + 34', '-4*e^3 + 4*e^2 + 36*e - 18', '-3*e^3 - 3*e^2 + 26*e + 2', '4*e^3 - 4*e^2 - 24*e + 30', 'e^3 - 7*e^2 - 6*e + 38', '6*e^3 + 4*e^2 - 44*e - 26', '8*e^3 + 8*e^2 - 36*e - 22', '-2*e^3 + 2*e^2 + 4*e + 8', '8*e^3 + 8*e^2 - 40*e', '10*e^3 + 2*e^2 - 40*e + 8', '5*e^3 + e^2 - 34*e + 2', '2*e^3 + 4*e^2 - 24*e - 14', '2*e^3 + 6*e^2 + 8*e - 36', '6*e^3 + 2*e^2 - 32*e + 12', '-2*e^3 - 8*e^2 + 12*e + 2', '-2*e^3 - 2*e^2 + 4*e - 16', '-5*e^3 + 7*e^2 + 24*e - 30', '-3*e^3 + e^2 + 10*e - 10', '6*e^3 - 6*e^2 - 40*e + 8', '-2*e^3 + 2*e^2 + 16*e', '2*e^3 + 2*e^2 - 18*e + 8', '6*e^3 - 6*e^2 - 36*e + 30', 'e^3 + e^2 - 20*e + 10', '-6*e^3 + 32*e + 6', '-3*e^3 - 3*e^2 + 14*e - 36', '-4*e^3 - 4*e^2 + 16*e + 40', '-4*e^2 - 4*e + 6', '4*e^3 - 12*e^2 - 24*e + 36', '4*e^3 - 8*e^2 - 20*e + 12', '-14*e^3 - 10*e^2 + 56*e + 24', '5*e^3 + 9*e^2 - 22*e - 2', 'e^3 + 9*e^2 - 6*e - 26', '6*e^3 - 2*e^2 - 40*e - 6', '-6*e^3 - 2*e^2 + 32*e + 20', '7*e^3 + 7*e^2 - 26*e - 8', '-2*e^3 - 2*e^2 + 4*e + 10', '-6*e^3 + 4*e^2 + 32*e - 14', '-10*e^3 - 12*e^2 + 36*e + 46', '-4*e^3 - 4*e^2 + 16*e - 16'], 'hecke_polynomial': 'x^4 + x^3 - 6*x^2 - 4*x + 4', 'label': '4.4.17428.1-6.2-e'}
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hmf_fields • Show schema
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{'degree': 4, 'discriminant': 17428, 'ideals': ['[1, 1, 1]', '[2, 2, w - 2]', '[2, 2, w + 1]', '[3, 3, -w^2 + w + 3]', '[4, 2, w^2 - 4]', '[4, 2, w^2 - w - 2]', '[4, 4, w - 1]', '[6, 6, w]', '[6, 6, w^2 - 3]', '[8, 2, w^3 - 2*w^2 - 4*w + 8]', '[8, 2, w^3 + w^2 - 4*w - 4]', '[8, 4, w^2 + w - 2]', '[8, 8, -w^3 - w^2 + 5*w + 5]', '[9, 9, w^2 + w - 3]', '[12, 6, w^2 - 2*w]', '[12, 6, w^3 - 2*w^2 - 3*w + 6]', '[12, 12, w^3 + w^2 - 3*w - 3]', '[16, 2, 2]', '[16, 4, w^3 - 4*w - 2]', '[16, 4, w^3 - w^2 - 4*w + 4]', '[16, 8, w^2 - w - 4]', '[16, 16, -w^3 + w^2 + 5*w - 5]', '[18, 18, -w^3 + w^2 + 3*w]', '[18, 18, w - 3]', '[24, 6, w^3 - 4*w]', '[24, 6, w^3 + w^2 - 6*w - 6]', '[24, 12, -w^3 + 5*w]', '[24, 24, -w^3 + 2*w^2 + 4*w - 9]', '[27, 3, -w^3 - 2*w^2 + 3*w + 5]', '[27, 27, -w^3 + w^2 + 4*w - 3]', '[29, 29, w^3 + w^2 - 2*w - 1]', '[31, 31, -w^2 - w + 1]', '[31, 31, w^3 - 2*w^2 - 5*w + 7]', '[32, 4, 2*w - 4]', '[32, 4, -w^3 + 2*w^2 + 2*w - 2]', '[32, 4, 2*w + 2]', '[32, 8, w^3 + w^2 - 4*w - 2]', '[32, 16, w^3 - 3*w + 2]', '[32, 32, -w^3 + 4*w + 1]', '[36, 18, w^2]', '[36, 18, w^3 - 3*w]', '[36, 36, w^2 - 2*w - 3]', '[37, 37, -w^3 + 3*w + 1]', '[41, 41, -w^2 + w + 5]', '[41, 41, -w^3 + w^2 + 4*w - 1]', '[43, 43, -2*w - 1]', '[47, 47, w^2 + w - 5]', '[47, 47, 2*w^3 - 3*w^2 - 9*w + 11]', '[48, 6, -2*w^2 + 2*w + 6]', '[48, 12, -w^3 + 2*w^2 + 4*w - 6]', '[48, 12, w^3 - w^2 - 6*w + 6]', '[48, 24, -2*w^3 - w^2 + 9*w + 6]', '[48, 48, -w - 3]', '[53, 53, w^3 + 2*w^2 - 5*w - 5]', '[54, 6, -w^3 + w^2 + 3*w - 4]', '[54, 6, w^3 - w^2 - 3*w + 1]', '[54, 54, -w^3 - w^2 + 5*w + 3]', '[54, 54, w^3 + w^2 - 3*w]', '[58, 58, w^3 - w^2 - 5*w + 2]', '[58, 58, w^3 - 2*w^2 - 2*w + 1]', '[59, 59, w^3 + w^2 - 4*w - 1]', '[59, 59, w^3 + w^2 - 4*w - 5]', '[62, 62, -2*w^2 + 3*w + 5]', '[62, 62, -2*w^3 - 2*w^2 + 9*w + 8]', '[62, 62, -w^3 + w^2 + 3*w - 2]', '[62, 62, -w^2 - 2*w + 1]', '[64, 4, 2*w^2 - 8]', '[64, 4, 2*w^2 - 2*w - 4]', '[64, 4, -w^3 + 6*w + 2]', '[64, 8, 2*w - 2]', '[64, 16, -w^3 + w^2 + 2*w + 2]', '[64, 32, w^3 - 2*w^2 - 3*w + 4]', '[64, 64, w^3 - 2*w^2 - 6*w + 11]', '[71, 71, 2*w^3 - 4*w^2 - 10*w + 19]', '[71, 71, w^2 + 3*w + 1]', '[72, 18, w^3 - 6*w]', '[72, 18, w^3 - 3*w^2 - 4*w + 12]', '[72, 36, -2*w^3 + w^2 + 9*w]', '[72, 72, -2*w^3 - w^2 + 8*w + 3]', '[73, 73, w^3 - 5*w + 1]', '[74, 74, -2*w^3 + 3*w^2 + 10*w - 13]', '[74, 74, 2*w^2 - w - 8]', '[81, 3, 3]', '[81, 81, -2*w - 3]', '[82, 82, -w^3 + 3*w^2 + 3*w - 10]', '[82, 82, -2*w^2 - w + 5]', '[82, 82, -w^3 + 6*w + 5]', '[82, 82, -w^3 - w^2 + 3*w + 4]', '[86, 86, -2*w^2 + 3*w + 2]', '[86, 86, -2*w^2 - 3*w - 1]', '[87, 87, -w^3 + 3*w + 3]', '[89, 89, -4*w^3 + 7*w^2 + 19*w - 29]', '[93, 93, 2*w^3 - 2*w^2 - 10*w + 9]', '[93, 93, w^3 + w^2 - 6*w - 3]', '[94, 94, w^3 - w^2 - 7*w + 10]', '[94, 94, -2*w^3 - 2*w^2 + 11*w + 10]', '[94, 94, w^3 + 2*w^2 - 4*w - 5]', '[94, 94, w^3 - 6*w - 1]', '[96, 12, 2*w]', '[96, 12, -w^3 - 2*w^2 + 2*w + 6]', '[96, 12, 2*w^2 - 6]', '[96, 24, w^3 - w^2 - 4*w]', '[96, 48, -w^2 - w + 6]', '[96, 96, -w^3 - w^2 + 7*w + 3]', '[97, 97, -w^3 + 2*w^2 + 3*w - 7]', '[101, 101, 2*w^3 - 12*w - 7]', '[103, 103, 2*w - 1]', '[103, 103, w^2 + w - 7]', '[106, 106, 4*w^3 + 3*w^2 - 14*w - 11]', '[106, 106, w^3 - 3*w^2 + w + 4]', '[107, 107, 2*w^3 - w^2 - 9*w + 1]', '[107, 107, 2*w^2 - 7]', '[108, 6, -2*w^3 - w^2 + 12*w + 10]', '[108, 6, 2*w^3 + w^2 - 9*w - 4]', '[108, 12, w^3 + 2*w^2 - 6*w - 5]', '[108, 54, w^2 - 3*w]', '[108, 54, w^2 + 2*w - 6]', '[108, 108, w^3 - 3*w^2 - 3*w + 9]', '[109, 109, -w^3 + w^2 + 4*w + 1]', '[111, 111, -2*w^2 + 4*w + 3]', '[113, 113, -4*w^3 - 3*w^2 + 17*w + 13]', '[116, 58, w^3 - 7*w - 4]', '[116, 58, -2*w^3 + 3*w^2 + 8*w - 10]', '[116, 116, -w^3 - 2*w^2 + 4*w + 7]', '[118, 118, 3*w - 4]', '[118, 118, 3*w^3 + 3*w^2 - 13*w - 11]', '[118, 118, -w^3 + 2*w^2 + 1]', '[118, 118, -w + 4]', '[121, 11, -w^2 - w - 1]', '[121, 11, -w^3 + 2*w^2 + 5*w - 11]', '[123, 123, 2*w^3 + 2*w^2 - 10*w - 9]', '[123, 123, -w^3 - w^2 + 4*w + 9]', '[124, 62, -w^3 - 2*w^2 + 5*w + 4]', '[124, 62, -2*w^3 - w^2 + 8*w + 2]', '[124, 62, -w^3 + 5*w - 2]', '[124, 62, w^2 - 2*w - 4]', '[124, 124, -w^3 + 4*w + 5]', '[124, 124, -w^3 + 2*w - 1]', '[128, 4, 2*w^3 - 4*w^2 - 8*w + 16]', '[128, 4, 2*w^3 + 2*w^2 - 8*w - 8]', '[128, 8, w^3 - 6*w + 2]', '[128, 8, 2*w^2 + 2*w - 4]', '[128, 16, -2*w^3 - 2*w^2 + 10*w + 10]', '[128, 32, w^3 - w^2 - 6*w + 2]', '[128, 64, w^2 - 3*w - 2]', '[128, 128, -2*w^2 + w + 5]', '[129, 129, 2*w^3 - w^2 - 7*w - 3]', '[139, 139, 2*w^3 - 10*w - 1]', '[139, 139, 2*w^3 - 10*w - 5]', '[141, 141, -w^3 - 2*w^2 + 5*w + 9]', '[141, 141, -w^3 + 3*w^2 + 2*w - 9]', '[142, 142, w^3 + w^2 - 7*w - 4]', '[142, 142, w^3 + w^2 - 5*w - 2]', '[142, 142, -2*w^2 + w + 7]', '[142, 142, w^3 - w^2 - 3*w + 5]', '[144, 18, 2*w^2 + 2*w - 6]', '[144, 36, w^3 + 2*w^2 - 4*w - 6]', '[144, 36, -w^3 - w^2 + 4*w + 6]', '[144, 72, w^3 - 2*w^2 - 5*w + 6]', '[144, 144, w^3 + 2*w^2 - 6*w - 9]', '[146, 146, -w^3 + w^2 + 7*w - 8]', '[146, 146, 2*w^3 + w^2 - 8*w - 5]', '[148, 74, 2*w^3 + w^2 - 9*w - 8]', '[148, 74, -w^2 - 2*w + 2]', '[148, 148, -w^3 + w^2 + 5*w - 1]', '[149, 149, w^3 - w^2 - 6*w + 5]', '[157, 157, w^2 - 3*w - 1]', '[157, 157, 4*w^3 - 6*w^2 - 18*w + 25]', '[157, 157, 2*w^3 - w^2 - 9*w + 5]', '[157, 157, -w^3 - 2*w^2 + 3*w + 7]', '[159, 159, 2*w^3 - 2*w^2 - 6*w - 3]', '[162, 6, 3*w - 6]', '[162, 6, 3*w + 3]', '[162, 162, -2*w^2 + w + 6]', '[162, 162, w^3 - 2*w^2 - 6*w + 9]', '[163, 163, -w^3 + w^2 + 4*w - 7]', '[164, 82, -w^2 - 2*w + 4]', '[164, 82, w^3 - 3*w - 4]', '[164, 82, 3*w^2 - 5*w - 4]', '[164, 82, -w^2 + 2*w - 2]', '[164, 164, w^3 - 3*w^2 - w + 7]', '[164, 164, -w^3 + 2*w^2 + 4*w - 5]', '[172, 86, -2*w^3 - w^2 + 8*w + 4]', '[172, 86, -2*w^3 + w^2 + 5*w + 2]', '[172, 172, -2*w^2 + w + 1]', '[174, 174, -2*w^3 + 4*w^2 + 5*w - 9]', '[174, 174, 2*w^3 - 11*w]', '[177, 177, w^3 + 2*w^2 - 7*w - 9]', '[177, 177, w^3 - 2*w^2 - 3*w + 3]', '[178, 178, -w^3 + 2*w^2 + 6*w - 5]', '[178, 178, 2*w^3 + 2*w^2 - 9*w - 10]', '[179, 179, w^3 - 3*w - 5]', '[181, 181, 3*w^3 - 4*w^2 - 13*w + 17]', '[186, 186, -w^3 + w^2 + 3*w - 6]', '[186, 186, -2*w^3 - 2*w^2 + 7*w + 3]', '[186, 186, 2*w^3 - 9*w - 3]', '[186, 186, -w^3 - w^2 + w]', '[188, 94, 2*w^3 - 3*w^2 - 8*w + 14]', '[188, 94, w^3 - 2*w^2 - w + 4]', '[188, 94, 3*w^2 - 4*w - 8]', '[188, 94, -w^3 + 7*w - 4]', '[188, 188, w^3 - 6*w + 5]', '[188, 188, 2*w^3 - 11*w - 7]', '[191, 191, 2*w^3 - 8*w + 1]', '[191, 191, w^3 - 5*w - 5]', '[192, 12, 2*w^2 - 4*w]', '[192, 12, 2*w^3 - 4*w^2 - 6*w + 12]', '[192, 12, 3*w^3 - 4*w^2 - 14*w + 18]', '[192, 24, 2*w^3 + 2*w^2 - 6*w - 6]', '[192, 48, w^3 + 3*w^2 - 2*w - 6]', '[192, 96, -w^3 - 2*w^2 + 5*w + 6]', '[192, 192, -w^2 - 2*w + 3]', '[194, 194, 3*w^3 - 7*w^2 - 9*w + 20]', '[194, 194, -w^2 - 1]', '[202, 202, -w^3 + 2*w^2 + 4*w - 11]', '[202, 202, -2*w^3 + 9*w + 2]', '[206, 206, 2*w^2 + w - 1]', '[206, 206, w^3 + 2*w^2 - 6*w - 7]', '[206, 206, 2*w^2 - 5*w + 2]', '[206, 206, -2*w^3 - 2*w^2 + 13*w + 10]', '[211, 211, 2*w + 5]', '[212, 106, -w^3 + 4*w^2 + w - 2]', '[212, 106, w^2 + 2*w + 2]', '[212, 212, 2*w^3 - w^2 - 4*w - 1]', '[213, 213, w^3 - w^2 - 6*w + 3]', '[213, 213, -3*w^3 - w^2 + 14*w + 9]', '[214, 214, -3*w^3 + 5*w^2 + 11*w - 14]', '[214, 214, 2*w^3 - 4*w^2 - 7*w + 14]', '[214, 214, 3*w^3 + 2*w^2 - 16*w - 11]', '[214, 214, 2*w^3 + 2*w^2 - 7*w - 7]', '[216, 6, w^3 + 2*w^2 - 6*w - 8]', '[216, 6, -w^3 + w^2 + 6*w - 4]', '[216, 12, -2*w^3 - w^2 + 9*w + 10]', '[216, 24, 2*w^3 - 2*w^2 - 9*w + 5]', '[216, 54, -3*w^3 - 2*w^2 + 14*w + 12]', '[216, 54, w^3 - w^2 - 6*w]', '[216, 108, -3*w^2 - w + 12]', '[216, 216, -w^3 + 2*w + 3]', '[218, 218, 2*w^3 + 3*w^2 - 8*w - 11]', '[218, 218, -2*w^3 + 13*w + 8]', '[219, 219, 2*w^3 - 2*w^2 - 8*w + 3]', '[222, 222, -2*w^3 + 11*w + 6]', '[222, 222, w^3 + 2*w^2 - 4*w - 9]', '[226, 226, -w^3 - w^2 + 3*w + 5]', '[226, 226, w^3 - w^2 - 5*w - 2]', '[227, 227, w^3 + w^2 - 4*w - 7]', '[232, 58, -w^3 - w^2 + 6*w + 2]', '[232, 58, w^3 - 4*w + 4]', '[232, 116, -w^3 + 2*w^2 + 3*w - 8]', '[232, 232, 2*w^3 - w^2 - 8*w - 1]', '[236, 118, -w^3 - 2*w^2 + 5*w + 8]', '[236, 118, 2*w^3 + w^2 - 12*w - 8]', '[236, 118, -w^2 + 3*w + 4]', '[236, 118, -w^2 + 2*w + 8]', '[236, 236, w^3 + w^2 - 5*w - 1]', '[236, 236, -4*w^2 + 5*w + 7]', '[239, 239, 2*w^3 + 2*w^2 - 8*w - 5]', '[242, 22, -2*w^3 - 2*w^2 + 11*w + 8]', '[242, 22, -w^3 + w^2 + w + 2]', '[242, 22, w^2 - 2*w - 5]', '[242, 22, w^3 - 3*w^2 - 3*w + 7]', '[243, 9, -3*w^2 + 3*w + 9]', '[243, 243, 2*w^3 + w^2 - 9*w - 9]', '[246, 246, -2*w^2 + 3*w + 6]', '[246, 246, -w^3 + w^2 + 5*w]', '[246, 246, w^3 - 6*w + 3]', '[246, 246, 2*w^2 + w - 9]', '[248, 62, w^3 + w^2 - 4*w - 8]', '[248, 62, w^3 - 2*w^2 - 6*w + 8]', '[248, 62, 3*w^3 + 3*w^2 - 8*w - 4]', '[248, 62, w^3 - 4*w^2 + 8]', '[248, 124, -2*w^3 + 3*w^2 + 9*w - 10]', '[248, 124, -2*w^3 - w^2 + 7*w + 4]', '[248, 248, -w^3 - 3*w^2 + 7*w + 13]', '[248, 248, -w^3 - w^2 + 3*w - 1]', '[256, 4, 4]', '[256, 8, -w^3 + 2*w - 2]', '[256, 8, 2*w^3 - 8*w - 4]', '[256, 8, 2*w^3 - 2*w^2 - 8*w + 8]', '[256, 16, 2*w^2 - 2*w - 8]', '[256, 32, -2*w^3 + 2*w^2 + 10*w - 10]', '[256, 64, -w^3 - w^2 + 4*w + 10]', '[256, 128, -2*w^3 - 3*w^2 + 7*w + 10]', '[256, 256, -2*w^3 - w^2 + 6*w + 5]', '[257, 257, 2*w^3 - 4*w^2 - 8*w + 19]', '[257, 257, w^3 + 2*w^2 - 5*w - 7]', '[258, 258, -2*w^2 - w]', '[258, 258, -2*w^3 - w^2 + 6*w + 3]', '[261, 261, -w^3 + w^2 + 6*w - 9]', '[263, 263, -2*w^3 - 2*w^2 + 6*w + 1]', '[267, 267, w^3 + 4*w^2 - 3*w - 15]', '[269, 269, -2*w^3 + 4*w^2 + 8*w - 13]', '[277, 277, -3*w^2 + w + 13]', '[278, 278, -2*w^3 + 2*w^2 + 11*w - 10]', '[278, 278, 3*w^3 + 3*w^2 - 11*w - 10]', '[278, 278, 4*w^3 + 2*w^2 - 19*w - 13]', '[278, 278, w^3 + 3*w^2 - w - 5]', '[279, 279, -w^3 - 2*w^2 + 5*w + 3]', '[279, 279, -2*w^3 + 3*w^2 + 11*w - 15]', '[282, 282, -w^3 + 3*w^2 + 3*w - 12]', '[282, 282, w^3 + w^2 - 5*w]', '[282, 282, 3*w^3 - w^2 - 13*w - 3]', '[282, 282, 2*w^3 - 2*w^2 - 7*w + 9]', '[284, 142, -3*w^2 + 6*w + 2]', '[284, 142, -2*w^3 + 5*w^2 + 5*w - 14]', '[284, 142, -w^2 + 4*w - 2]', '[284, 142, 3*w^3 + 2*w^2 - 11*w - 8]', '[284, 284, -2*w^3 - w^2 + 8*w + 7]', '[284, 284, w^3 + 2*w^2 - 2*w - 1]', '[288, 36, -2*w^3 + 2*w^2 + 6*w]', '[288, 36, w^3 - 2*w^2 - 2*w + 6]', '[288, 36, 2*w - 6]', '[288, 72, -3*w^3 + 5*w^2 + 12*w - 18]', '[288, 144, -w^2 - 3*w]', '[288, 288, -w^3 - 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6]', '[384, 192, -w^3 + 7*w - 6]', '[384, 384, -w^3 + 2*w^2 + 3]', '[387, 387, -2*w^3 - 3*w^2 + 5*w + 3]', '[388, 194, 2*w^3 - 5*w^2 - 10*w + 22]', '[388, 194, -w^3 + 2*w^2 - w + 2]', '[388, 388, 2*w^3 - 5*w^2 - 6*w + 13]', '[389, 389, 2*w^3 - 2*w^2 - 8*w + 7]', '[397, 397, 2*w^3 + 5*w^2 - 5*w - 13]', '[404, 202, -4*w^3 - 3*w^2 + 19*w + 14]', '[404, 202, 2*w^3 - 3*w^2 - 8*w + 8]', '[404, 404, -3*w - 5]', '[409, 409, w^3 + w^2 - 6*w - 1]', '[412, 206, 2*w^3 - 3*w^2 - 3*w + 2]', '[412, 206, 2*w^3 - w^2 - 8*w + 4]', '[412, 206, w^3 - 4*w^2 + w + 8]', '[412, 206, 5*w^2 - 8*w - 8]', '[412, 412, 2*w^2 - 3*w + 1]', '[412, 412, 4*w^3 + 2*w^2 - 17*w - 13]', '[417, 417, 4*w^3 - w^2 - 19*w - 3]', '[417, 417, -3*w^3 + 4*w^2 + 13*w - 15]', '[421, 421, -2*w^3 + 2*w^2 + 10*w - 5]', '[422, 422, 2*w^2 + w - 10]', '[422, 422, -3*w^3 + 6*w^2 + 14*w - 23]', '[423, 423, -2*w^3 - 2*w^2 + 10*w + 15]', '[423, 423, 3*w^3 - w^2 - 12*w + 9]', '[424, 106, w^3 - 2*w - 4]', '[424, 106, w^3 + 3*w^2 + 4*w + 2]', '[424, 212, 5*w^3 + 6*w^2 - 17*w - 14]', '[424, 424, 3*w^3 - 18*w - 13]', '[426, 426, -2*w^3 + 2*w^2 + 11*w - 12]', '[426, 426, -w^2 - 2*w + 9]', '[426, 426, -w^3 + 2*w + 9]', '[426, 426, 2*w^3 - 2*w^2 - 7*w]', '[428, 214, -4*w^3 + 3*w^2 + 20*w - 10]', '[428, 214, -w^3 - 2*w^2 + 9*w + 4]', '[428, 214, 2*w^3 - 3*w^2 - 8*w + 16]', '[428, 214, w^2 - w + 2]', '[428, 428, -w^3 + 4*w^2 + 2*w - 13]', '[428, 428, 2*w^3 - 2*w^2 - 7*w + 7]', '[432, 6, -2*w^3 - 4*w^2 + 6*w + 10]', '[432, 12, -w^3 - 2*w^2 + 2]', '[432, 12, -w^3 + w^2 + 6*w + 2]', '[432, 24, w^3 + 2*w^2 - 3*w - 8]', '[432, 48, 2*w^3 + w^2 - 12*w - 7]', '[432, 54, -2*w^3 + 2*w^2 + 8*w - 6]', '[432, 108, -w^3 - 3*w^2 + 8*w + 12]', '[432, 108, w^3 - 4*w - 6]', '[432, 216, 2*w^3 - w^2 - 11*w + 6]', '[432, 432, 4*w^3 - 8*w^2 - 17*w + 33]', '[433, 433, -w^3 - 3*w^2 + 6*w + 7]', '[436, 218, 2*w^3 + w^2 - 10*w - 4]', '[436, 218, w^3 - 2*w^2 - 3*w + 10]', '[436, 436, -3*w^3 + 14*w + 5]', '[438, 438, w^3 + w^2 - 3*w - 6]', '[438, 438, -w^3 + 3*w^2 + 5*w - 9]', '[439, 439, 3*w^2 - 3*w - 7]', '[443, 443, 3*w^3 + w^2 - 14*w - 5]', '[444, 222, w^3 - 2*w^2 - 5*w + 12]', '[444, 222, 2*w^3 - w^2 - 8*w]', '[444, 444, -2*w^3 - w^2 + 12*w + 3]', '[447, 447, -2*w^3 - 2*w^2 + 8*w + 9]', '[449, 449, -4*w^3 - 3*w^2 + 19*w + 17]', '[449, 449, -w^3 + 3*w^2 + 6*w - 17]', '[452, 226, -2*w^3 + 3*w^2 + 4*w - 2]', '[452, 226, w^3 - 11*w - 8]', '[452, 452, -3*w^3 - 4*w^2 + 12*w + 11]', '[454, 454, 3*w^3 + 3*w^2 - 15*w - 13]', '[454, 454, -3*w + 8]', '[457, 457, w^3 + 2*w^2 + w + 1]', '[457, 457, -2*w^3 + w^2 + 9*w - 7]', '[461, 461, -w^3 + 7*w + 7]', '[461, 461, -4*w^2 + 17]', '[464, 58, 2*w^3 + 2*w^2 - 4*w - 2]', '[464, 116, -w^3 + 2*w^2 + 8*w - 14]', '[464, 116, 3*w^3 + 3*w^2 - 10*w - 4]', '[464, 232, -w^2 - w - 2]', '[464, 464, -2*w^3 + 7*w - 1]', '[467, 467, -2*w^3 + w^2 + 11*w + 1]', '[471, 471, w^3 - w^2 - 2*w + 9]', '[471, 471, -2*w^2 + 2*w + 9]', '[471, 471, -2*w^3 + 2*w^2 + 12*w - 15]', '[471, 471, w^3 - 4*w^2 - w + 9]', '[472, 118, -w^3 - 2*w^2 + 8*w + 4]', '[472, 118, -w^3 + 3*w^2 + 2*w - 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17]', '[1849, 1849, w^2 - 7*w + 7]', '[1851, 1851, 4*w^3 - 2*w^2 - 16*w - 3]', '[1854, 1854, 2*w^2 - 7*w + 3]', '[1854, 1854, -w^3 + w^2 + 7*w + 6]', '[1854, 1854, w^3 - 7*w^2 + 5*w + 12]', '[1854, 1854, 3*w^3 + w^2 - 11*w - 3]', '[1856, 116, 2*w^3 - 14*w - 8]', '[1856, 116, w^3 - 2*w - 10]', '[1856, 116, -4*w^3 + 6*w^2 + 16*w - 20]', '[1856, 232, -2*w^3 - 4*w^2 + 8*w + 14]', '[1856, 464, -5*w^3 - w^2 + 26*w + 16]', '[1856, 928, 2*w^3 + 3*w^2 - 9*w - 16]', '[1856, 1856, -5*w^2 + 13]', '[1857, 1857, -6*w^3 + 5*w^2 + 23*w - 3]', '[1858, 1858, w^3 + 3*w^2 - 11*w - 11]', '[1858, 1858, -2*w^3 + 6*w^2 - 5*w + 4]', '[1861, 1861, w^3 - w - 7]', '[1861, 1861, -2*w^3 + 6*w^2 + 2*w - 7]', '[1866, 1866, -4*w^2 - w + 18]', '[1866, 1866, -4*w^3 - w^2 + 22*w + 9]', '[1867, 1867, -8*w^3 - 6*w^2 + 34*w + 23]', '[1868, 934, 3*w^3 + 2*w^2 - 15*w - 8]', '[1868, 934, -2*w^3 - w^2 + 6*w - 4]', '[1868, 1868, w^3 - 2*w^2 - 2*w + 11]', '[1873, 1873, -2*w^3 - w^2 + 5*w - 5]', '[1873, 1873, 4*w^3 + 3*w^2 - 23*w - 23]', '[1874, 1874, w^3 - w^2 - 5*w - 5]', '[1874, 1874, w^3 + w^2 - 5*w - 11]', '[1874, 1874, 4*w^3 - 10*w^2 - 11*w + 28]', '[1874, 1874, -5*w^3 - w^2 + 23*w + 14]', '[1875, 15, 5*w^2 - 5*w - 15]', '[1877, 1877, w^3 - 11*w + 11]', '[1878, 1878, -2*w^3 + 11*w - 3]', '[1878, 1878, w^3 + 3*w^2 - 9*w - 12]', '[1879, 1879, 4*w^3 - 2*w^2 - 16*w + 11]', '[1879, 1879, -6*w^3 + 12*w^2 + 28*w - 55]', '[1884, 942, 2*w^3 + 3*w^2 - 7*w - 12]', '[1884, 942, -2*w^3 - 7*w^2 + 2*w + 18]', '[1884, 942, 2*w^3 - 7*w^2 - 9*w + 24]', '[1884, 942, -w^2 - 4*w + 6]', '[1884, 942, -2*w^3 - w^2 + 14*w]', '[1884, 942, -3*w^3 + 8*w^2 + 11*w - 30]', '[1884, 942, -2*w^3 + 3*w^2 + 10*w - 18]', '[1884, 942, 2*w^3 + w^2 - 13*w]', '[1884, 1884, -w^3 + 5*w^2 + 7*w - 15]', '[1884, 1884, -7*w^3 - 10*w^2 + 18*w + 15]', '[1884, 1884, -3*w^3 - w^2 + 17*w + 15]', '[1884, 1884, 3*w^3 - 7*w^2 - 11*w + 27]', '[1888, 236, 6*w - 8]', '[1888, 236, 6*w^3 + 6*w^2 - 26*w - 22]', '[1888, 236, -w^3 + 6*w^2 - 2*w - 10]', '[1888, 236, -2*w^3 + 4*w^2 + 2]', '[1888, 236, 3*w^3 - 2*w^2 - 10*w - 2]', '[1888, 236, -2*w + 8]', '[1888, 472, w^3 + 3*w^2 + 2*w - 2]', '[1888, 472, 3*w^3 - 7*w^2 - 8*w + 16]', '[1888, 944, 3*w^3 + 6*w^2 - 9*w - 16]', '[1888, 944, -2*w^3 + 9*w^2 - 3*w - 16]', '[1888, 1888, 2*w^3 - w^2 - 12*w - 5]', '[1888, 1888, -w^3 - w^2 + 13*w - 11]', '[1889, 1889, -5*w^3 + 9*w^2 + 20*w - 35]', '[1893, 1893, w^3 - w - 9]', '[1894, 1894, -5*w^3 + 7*w^2 + 27*w - 38]', '[1894, 1894, 3*w^3 - 12*w - 5]', '[1894, 1894, w^3 - 2*w^2 - 6*w + 1]', '[1894, 1894, -4*w^3 + 19*w + 14]', '[1899, 1899, -6*w^3 + 12*w^2 + 26*w - 51]', '[1901, 1901, 4*w^3 - 5*w^2 - 19*w + 17]', '[1902, 1902, 3*w^3 - 5*w^2 - 9*w + 12]', '[1902, 1902, w^2 + 6*w + 3]', '[1908, 954, 4*w^3 + 3*w^2 - 7*w - 6]', '[1908, 954, 4*w^3 + 9*w^2 - 18*w - 18]', '[1908, 1908, -5*w^3 + w^2 + 15*w + 9]', '[1912, 478, 3*w^3 - 5*w^2 - 4*w + 4]', '[1912, 478, 3*w^3 - 2*w^2 - 12*w + 8]', '[1912, 956, 3*w^2 - 5*w + 2]', '[1912, 1912, w^3 - 7*w^2 + 7*w + 7]', '[1913, 1913, 2*w^3 - w^2 - 5*w - 7]', '[1916, 958, -2*w^3 + 5*w^2 - 2*w + 4]', '[1916, 958, 5*w^3 - 10*w^2 - 15*w + 26]', '[1916, 1916, -w^3 - w^2 + 9*w + 5]', '[1917, 213, 2*w^3 + w^2 - 9*w - 13]', '[1917, 213, w^3 + 2*w^2 - 3*w - 11]', '[1917, 1917, -3*w^3 - 4*w^2 + 13*w + 15]', '[1917, 1917, -4*w^3 - 3*w^2 + 23*w + 21]', '[1922, 62, -2*w^3 - 4*w^2 + 13*w + 16]', '[1922, 62, 2*w^3 + 2*w^2 - 13*w - 14]', '[1922, 62, -3*w^3 + 14*w - 1]', '[1922, 62, 2*w^3 - w^2 - 12*w + 5]', '[1922, 1922, 3*w^3 + 4*w^2 - 14*w - 11]', '[1922, 1922, 2*w^3 + 2*w^2 - 5*w - 8]', '[1922, 1922, -3*w^3 + 7*w^2 + 7*w - 14]', '[1922, 1922, w^3 + 2*w^2 - 10*w - 7]', '[1923, 1923, w^3 + 5*w^2 - 14*w - 9]', '[1923, 1923, 10*w^3 + 7*w^2 - 53*w - 45]', '[1923, 1923, -5*w^3 + 11*w^2 + 22*w - 45]', '[1923, 1923, 3*w^3 - w^2 - 8*w - 15]', '[1926, 1926, w^3 + w^2 - 9*w]', '[1926, 1926, -5*w^3 + 6*w^2 + 20*w - 15]', '[1926, 1926, 2*w^3 - 6*w^2 - 7*w + 21]', '[1926, 1926, 4*w^3 - 15*w - 18]', '[1927, 1927, -2*w^3 + 2*w^2 + 12*w - 1]', '[1927, 1927, 7*w^3 - 9*w^2 - 34*w + 37]', '[1927, 1927, 3*w^3 - 4*w^2 - 11*w + 11]', '[1927, 1927, -w^3 + 5*w^2 + 4*w - 19]', '[1931, 1931, w^3 + 3*w^2 + 4*w + 1]', '[1934, 1934, 4*w^3 - 4*w^2 - 15*w + 17]', '[1934, 1934, w^3 + w^2 - 5*w + 4]', '[1936, 22, -2*w^2 - 2*w - 2]', '[1936, 22, -2*w^3 + 4*w^2 + 10*w - 22]', '[1936, 44, -3*w^3 + 2*w^2 + 12*w - 2]', '[1936, 44, 3*w^3 - 8*w^2 - 8*w + 22]', '[1936, 44, -5*w^3 - 5*w^2 + 22*w + 20]', '[1936, 44, -3*w^3 - w^2 + 10*w + 2]', '[1936, 88, -3*w^3 + 11*w - 8]', '[1936, 88, -3*w^2 - 5*w + 4]', '[1936, 176, 6*w^3 + 4*w^2 - 29*w - 25]', '[1936, 176, 2*w^3 + w^2 - 10*w - 1]', '[1942, 1942, 2*w^2 - 3*w - 10]', '[1942, 1942, -3*w^3 + 2*w^2 + 14*w - 11]', '[1944, 18, 3*w^3 - 12*w]', '[1944, 18, 3*w^3 + 3*w^2 - 18*w - 18]', '[1944, 36, -3*w^3 + 15*w]', '[1944, 72, -3*w^3 + 6*w^2 + 12*w - 27]', '[1944, 486, -w^3 + 6*w^2 + 2*w - 24]', '[1944, 486, -3*w^3 - 5*w^2 + 14*w + 12]', '[1944, 972, -2*w^3 - w^2 + 3*w]', '[1944, 1944, -3*w^3 - 3*w^2 + 11*w + 3]', '[1948, 974, -4*w^3 + 5*w^2 + 18*w - 16]', '[1948, 974, -4*w^3 + 9*w^2 + 5*w - 8]', '[1948, 974, -2*w^3 + 7*w^2 + 2*w - 16]', '[1948, 974, -3*w^3 + 4*w^2 + 19*w - 26]', '[1948, 974, -2*w^3 + 7*w^2 - 14]', '[1948, 974, -5*w^3 - 2*w^2 + 21*w + 16]', '[1948, 974, -w^3 + 2*w^2 + 9*w + 4]', '[1948, 974, 2*w^3 - w^2 - 12*w + 10]', '[1948, 1948, 3*w^3 + w^2 - 11*w - 5]', '[1948, 1948, w^3 - 2*w^2 - 6*w - 1]', '[1948, 1948, 3*w^3 + 4*w^2 - 10*w - 13]', '[1948, 1948, w^3 - 3*w^2 + 5*w - 7]', '[1949, 1949, 5*w^3 + w^2 - 24*w - 11]', '[1951, 1951, -w^3 + 3*w^2 + 4*w - 5]', '[1956, 978, -2*w^3 + w^2 + 12*w - 12]', '[1956, 978, -w^3 + 2*w^2 - w + 6]', '[1956, 1956, 4*w^3 - 7*w^2 - 14*w + 21]', '[1961, 1961, -3*w^3 - w^2 + 2*w + 1]', '[1962, 1962, 5*w^3 + 6*w^2 - 28*w - 33]', '[1962, 1962, 4*w^3 - 4*w^2 - 19*w + 12]', '[1964, 982, -3*w^3 + 9*w - 8]', '[1964, 982, -4*w^3 - 3*w^2 + 16*w + 8]', '[1964, 1964, 4*w^3 + w^2 - 18*w - 7]', '[1968, 246, 4*w^3 + 4*w^2 - 20*w - 18]', '[1968, 246, -2*w^3 - 2*w^2 + 8*w + 18]', '[1968, 492, -w^3 - 4*w^2 + 6]', '[1968, 492, -3*w^3 + 4*w^2 + 16*w - 18]', '[1968, 492, -w^3 + w^2 + 8*w]', '[1968, 492, w^3 + w^2 + 6]', '[1968, 984, 5*w^2 + w - 18]', '[1968, 984, 3*w^2 + w]', '[1968, 1968, 3*w^3 - w^2 - 15*w - 3]', '[1968, 1968, 3*w^3 + w^2 - 9*w - 3]', '[1971, 219, -w^3 - 5*w^2 + 11]', '[1971, 1971, -2*w^3 + 5*w^2 + 7*w - 21]', '[1973, 1973, -w^3 + w^2 + 6*w - 11]', '[1979, 1979, -3*w^3 + 9*w - 5]', '[1982, 1982, -w^3 - 3*w^2 - w - 1]', '[1982, 1982, 2*w^3 - 6*w^2 - 7*w + 20]', '[1983, 1983, -3*w^3 + 6*w^2 + 7*w - 9]', '[1983, 1983, -w^3 + 5*w^2 + 6*w - 15]', '[1984, 124, -2*w^3 - 4*w^2 + 10*w + 8]', '[1984, 124, w^3 - 10*w - 10]', '[1984, 124, -4*w^3 - 2*w^2 + 16*w + 4]', '[1984, 124, -2*w^3 + 10*w - 4]', '[1984, 124, 3*w^3 - 10*w + 2]', '[1984, 124, 2*w^2 - 4*w - 8]', '[1984, 248, -2*w^3 + 8*w + 10]', '[1984, 248, -2*w^3 + 4*w - 2]', '[1984, 496, 3*w^3 - w^2 - 10*w - 4]', '[1984, 496, 3*w^3 - 3*w^2 - 12*w + 8]', '[1984, 992, 4*w^3 - 7*w^2 - 19*w + 34]', '[1984, 992, w^2 - w + 4]', '[1984, 1984, -3*w^3 + w^2 + 17*w - 7]', '[1984, 1984, 3*w^3 - 3*w^2 - 11*w + 11]', '[1986, 1986, -8*w^3 + 13*w^2 + 36*w - 51]', '[1986, 1986, 4*w^2 + w - 24]', '[1993, 1993, -3*w^3 - w^2 + 12*w - 1]', '[1996, 998, -2*w^3 + 3*w^2 + 12*w - 8]', '[1996, 998, -w^2 + 5*w + 2]', '[1996, 1996, 4*w^2 - w - 11]', '[1998, 222, 4*w^3 + 2*w^2 - 21*w - 11]', '[1998, 222, -w^3 + w^2 + 3*w - 10]', '[1998, 1998, w^3 + 2*w + 3]', '[1998, 1998, 4*w^3 - 4*w^2 - 21*w + 18]', '[1999, 1999, w^2 - 5*w + 1]', '[1999, 1999, -2*w^3 + 5*w^2 + 11*w - 25]', '[2012, 1006, w^2 - 8*w + 14]', '[2012, 1006, 3*w^3 + 4*w^2 - 17*w - 16]', '[2012, 1006, -2*w^3 - w^2 + 13*w + 4]', '[2012, 1006, -6*w^3 + 5*w^2 + 30*w - 16]', '[2012, 2012, -w^3 + 8*w + 1]', '[2012, 2012, -w^3 + 5*w^2 + 3*w - 19]', '[2017, 2017, -5*w^3 - 7*w^2 + 16*w + 19]', '[2018, 2018, -5*w^3 + 6*w^2 + 22*w - 25]', '[2018, 2018, w^3 + 2*w^2 - 2*w + 1]', '[2018, 2018, 2*w^2 - w - 14]', '[2018, 2018, -5*w^3 + 11*w^2 + 19*w - 38]', '[2019, 2019, 3*w^2 - 7*w - 3]', '[2019, 2019, -2*w^3 + 7*w^2 + 3*w - 15]', '[2021, 2021, -2*w^3 - 2*w^2 + 12*w + 17]', '[2021, 2021, 3*w^2 - 3*w - 13]', '[2022, 2022, w^3 - 3*w^2 - 7*w + 6]', '[2022, 2022, w^3 + 2*w^2 - 6*w - 15]', '[2022, 2022, 4*w^3 - 10*w^2 - 7*w + 18]', '[2022, 2022, w^3 - 5*w^2 - w + 15]', '[2022, 2022, w^3 - 7*w^2 - 7*w + 27]', '[2022, 2022, -6*w^3 - 2*w^2 + 29*w + 18]', '[2022, 2022, -2*w^3 - 4*w^2 + 11*w + 9]', '[2022, 2022, w^3 + 3*w^2 - 11*w - 6]', '[2026, 2026, -6*w^2 - 5*w + 17]', '[2026, 2026, -3*w^3 - 5*w^2 + 11*w + 16]', '[2027, 2027, -2*w^3 - 2*w^2 + 6*w - 1]', '[2027, 2027, -2*w^3 - 4*w^2 + 8*w + 11]', '[2029, 2029, -2*w^3 + 16*w + 13]', '[2029, 2029, -4*w^3 - 3*w^2 + 19*w + 19]', '[2034, 2034, 5*w^3 + 2*w^2 - 22*w - 15]', '[2034, 2034, -2*w^3 - 2*w^2 + 3*w]', '[2036, 1018, 4*w^3 - 5*w^2 - 12*w + 4]', '[2036, 1018, w^3 - 2*w^2 - 9*w + 20]', '[2036, 2036, 4*w^3 + 4*w^2 - 21*w - 19]', '[2038, 2038, -4*w^2 + 3*w + 10]', '[2038, 2038, w^3 - 3*w^2 + w + 7]', '[2038, 2038, w^3 - 2*w^2 - 8*w + 11]', '[2038, 2038, 2*w^3 - 4*w^2 - 7*w + 20]', '[2042, 2042, 2*w^3 - 7*w + 7]', '[2042, 2042, 3*w^3 + w^2 - 11*w - 4]', '[2043, 2043, 3*w^3 - 13*w + 3]', '[2048, 8, 4*w^3 - 8*w^2 - 16*w + 32]', '[2048, 8, 4*w^3 + 4*w^2 - 16*w - 16]', '[2048, 16, -w^3 - 4*w^2 + 10*w + 14]', '[2048, 16, 2*w^3 - 12*w + 4]', '[2048, 16, 4*w^2 + 4*w - 8]', '[2048, 32, -4*w^3 - 4*w^2 + 20*w + 20]', '[2048, 64, 2*w^3 - 2*w^2 - 12*w + 4]', '[2048, 128, 2*w^2 - 6*w - 4]', '[2048, 256, -4*w^2 + 2*w + 10]', '[2048, 512, w^3 - 3*w^2 - 8*w + 14]', '[2048, 1024, w^3 - w - 8]', '[2048, 2048, -3*w^3 + 6*w^2 + 12*w - 19]', '[2049, 2049, -3*w^3 + 5*w^2 + 8*w - 9]', '[2053, 2053, 3*w^3 - 5*w^2 - 14*w + 17]', '[2053, 2053, w^3 - 6*w^2 + 5*w + 11]', '[2053, 2053, -2*w^3 - 5*w^2 + 3*w + 7]', '[2053, 2053, -w^3 + 3*w^2 + 2*w - 13]', '[2056, 514, 3*w^3 - 5*w^2 - 16*w + 28]', '[2056, 514, 3*w^3 - 4*w^2 - 10*w + 8]', '[2056, 514, -w^3 + w^2 + 12*w + 10]', '[2056, 514, -w^3 + 4*w^2 + 6*w - 20]', '[2056, 1028, 3*w^3 + 4*w^2 - 13*w - 14]', '[2056, 1028, 5*w^3 + 4*w^2 - 19*w - 10]', '[2056, 2056, 3*w^2 + 4*w - 7]', '[2056, 2056, 5*w^3 + 2*w^2 - 28*w - 23]', '[2059, 2059, w^3 - w^2 - 4*w - 5]', '[2059, 2059, w^3 - 5*w^2 - 4*w + 17]', '[2063, 2063, -2*w^3 + 3*w^2 + 9*w - 7]', '[2063, 2063, -3*w^3 + 6*w^2 + 11*w - 23]', '[2063, 2063, -8*w^3 + 15*w^2 + 39*w - 67]', '[2063, 2063, -2*w^3 + 6*w + 7]', '[2064, 258, 4*w^3 - 2*w^2 - 14*w - 6]', '[2064, 516, -w^3 + 2*w^2 - 6]', '[2064, 516, -w^3 + w^2 + 2*w + 6]', '[2064, 1032, 8*w^3 + 7*w^2 - 37*w - 30]', '[2064, 2064, 2*w^2 + 7*w + 3]', '[2066, 2066, -w^3 + 8*w - 1]', '[2066, 2066, 2*w^3 + 4*w^2 - 13*w - 14]', '[2069, 2069, -3*w^2 - 5*w + 1]', '[2069, 2069, -3*w^3 - w^2 + 20*w + 17]', '[2081, 2081, 2*w^3 + 4*w^2 - 10*w - 11]', '[2081, 2081, -w^3 + w^2 + 2*w - 11]', '[2082, 2082, -w^3 + 3*w^2 + 5*w - 18]', '[2082, 2082, w^3 - w^2 - w + 6]', '[2082, 2082, 4*w^3 + 2*w^2 - 23*w - 9]', '[2082, 2082, 3*w^3 - w^2 - 13*w + 9]', '[2083, 2083, 2*w^3 - 5*w^2 - 7*w + 25]', '[2087, 2087, -w^3 + w^2 + 8*w - 7]', '[2088, 522, -w^3 - 3*w^2 + 2*w + 12]', '[2088, 522, w^3 - 2*w^2 - 6*w]', '[2088, 1044, -2*w^3 - w^2 + 13*w + 6]', '[2088, 2088, 4*w^2 - w - 15]', '[2089, 2089, -3*w^3 + 17*w + 5]', '[2089, 2089, w^2 + w - 11]', '[2092, 1046, -3*w^3 - 2*w^2 + 19*w + 20]', '[2092, 1046, 12*w^3 + 7*w^2 - 60*w - 44]', '[2092, 2092, -2*w^3 - 2*w^2 + 15*w + 13]', '[2094, 2094, -4*w^2 + 3*w + 12]', '[2094, 2094, -5*w^3 + 2*w^2 + 20*w + 9]', '[2098, 2098, 5*w^3 + 2*w^2 - 18*w + 1]', '[2098, 2098, 2*w^3 + 2*w^2 - 3*w + 2]', '[2099, 2099, -5*w^3 - 5*w^2 + 20*w + 19]', '[2099, 2099, -4*w^3 + 3*w^2 + 19*w - 13]', '[2104, 526, 3*w^3 - 3*w^2 - 12*w + 10]', '[2104, 526, -w^3 + 4*w + 8]', '[2104, 1052, w^3 + 4*w^2 - 9*w - 16]', '[2104, 2104, -3*w^3 + 2*w^2 + 16*w - 11]', '[2111, 2111, -w^3 + 5*w - 7]', '[2117, 2117, 4*w^3 + 3*w^2 - 13*w - 7]', '[2118, 2118, 4*w^3 - w^2 - 18*w - 3]', '[2118, 2118, -6*w^3 - 2*w^2 + 29*w + 24]', '[2122, 2122, 4*w^2 - 7*w - 10]', '[2122, 2122, -w^3 - 2*w^2 + 8*w + 1]', '[2124, 1062, 4*w^3 + 3*w^2 - 14*w - 12]', '[2124, 1062, w^3 + 4*w^2 - w - 6]', '[2124, 1062, 4*w^3 - 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13*w^2 - 29*w + 61]', '[4177, 4177, -2*w^3 - w^2 + 11*w - 1]', '[4178, 4178, 3*w^3 - w^2 - 17*w + 8]', '[4178, 4178, w^3 + 2*w^2 - 10*w - 11]', '[4178, 4178, -6*w^3 - w^2 + 34*w + 23]', '[4178, 4178, w^3 - w^2 - 13*w + 22]', '[4181, 4181, 5*w^3 - 4*w^2 - 17*w - 7]', '[4183, 4183, -3*w^3 - 5*w^2 + 12*w + 17]', '[4183, 4183, -2*w^3 + 5*w^2 + 3*w - 13]', '[4184, 1046, w^3 + 5*w^2 - 6*w - 22]', '[4184, 1046, -5*w^3 - 2*w^2 + 28*w + 16]', '[4184, 2092, 9*w^3 + 2*w^2 - 45*w - 26]', '[4184, 4184, -2*w^3 - 5*w^2 + 10*w + 29]', '[4188, 2094, 2*w^3 + 3*w^2 - 2*w - 6]', '[4188, 2094, -4*w^3 - w^2 + 15*w + 12]', '[4188, 4188, w^3 - 3*w^2 - 5*w + 3]', '[4189, 4189, -3*w^3 + 7*w^2 + 14*w - 35]', '[4189, 4189, -3*w^3 + 3*w^2 + 10*w - 5]', '[4189, 4189, -5*w^3 + 9*w^2 + 26*w - 41]', '[4189, 4189, -3*w^3 - 5*w^2 + 18*w + 23]', '[4196, 2098, -3*w^3 + 8*w^2 + 17*w - 32]', '[4196, 2098, 5*w^2 - 16]', '[4196, 4196, -3*w^2 - 2*w + 17]', '[4197, 4197, -3*w^3 + 2*w^2 + 11*w - 3]', '[4198, 4198, -w - 8]', '[4198, 4198, -5*w^3 - 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18]', '[4236, 2118, 4*w^3 - 3*w^2 - 10*w - 12]', '[4236, 4236, 7*w^3 + 5*w^2 - 37*w - 27]', '[4239, 471, w^3 + 2*w^2 - 9*w - 17]', '[4239, 471, -4*w^3 + w^2 + 21*w + 5]', '[4239, 471, 5*w^3 + w^2 - 30*w - 19]', '[4239, 471, 11*w^3 + 13*w^2 - 30*w - 19]', '[4239, 4239, -2*w^3 + 5*w^2 + 11*w - 15]', '[4239, 4239, -4*w^3 + 4*w^2 + 14*w - 15]', '[4239, 4239, 6*w^3 + w^2 - 35*w - 21]', '[4239, 4239, -w^3 + 6*w^2 - w - 15]', '[4241, 4241, w^3 + 7*w^2 - 4*w - 31]', '[4244, 2122, -w^3 + 6*w^2 - 11*w + 4]', '[4244, 2122, 4*w^3 - 15*w^2 + 4*w + 20]', '[4244, 4244, -4*w^3 + 13*w + 7]', '[4248, 1062, -5*w^3 - 2*w^2 + 26*w + 12]', '[4248, 1062, -w^3 + 5*w^2 + 2*w - 24]', '[4248, 1062, -w^3 - 2*w^2 + 2*w + 12]', '[4248, 1062, -3*w^3 - 3*w^2 + 20*w + 12]', '[4248, 2124, 8*w^3 + w^2 - 39*w - 18]', '[4248, 2124, 5*w^2 - 3*w - 18]', '[4248, 4248, w^3 - 4*w^2 - 14*w - 3]', '[4248, 4248, -4*w^3 + 6*w^2 + 21*w - 27]', '[4252, 2126, -3*w^2 + 9*w + 8]', '[4252, 2126, -2*w^3 + w^2 + 14*w + 4]', '[4252, 4252, w^3 + 5*w^2 - 7*w - 11]', '[4253, 4253, 4*w^3 + 6*w^2 - 12*w - 17]', '[4254, 4254, 3*w^3 - w^2 - 11*w]', '[4254, 4254, 2*w^3 - 2*w^2 - 9*w + 15]', '[4259, 4259, -4*w^3 - 3*w^2 + 21*w + 13]', '[4259, 4259, w^3 + 2*w^2 - w - 11]', '[4262, 4262, 6*w^3 + 7*w^2 - 28*w - 23]', '[4262, 4262, 6*w^2 - 13*w - 2]', '[4262, 4262, w^3 + 2*w - 1]', '[4262, 4262, -4*w^3 + 2*w^2 + 17*w + 4]', '[4262, 4262, -3*w^3 + 7*w^2 + 5*w - 8]', '[4262, 4262, -6*w^3 + 29*w + 19]', '[4262, 4262, 7*w^3 - 15*w^2 - 19*w + 38]', '[4262, 4262, 3*w^2 + 2*w - 19]', '[4272, 534, 2*w^3 + 8*w^2 - 6*w - 30]', '[4272, 1068, 7*w^3 + w^2 - 38*w - 18]', '[4272, 1068, -3*w^3 + 2*w^2 + 20*w + 6]', '[4272, 2136, -w^3 - 8*w^2 + 5*w + 36]', '[4272, 4272, 9*w^3 - 16*w^2 - 44*w + 63]', '[4273, 4273, -5*w^3 + 9*w^2 + 28*w - 47]', '[4273, 4273, 2*w^3 - 5*w^2 - 11*w + 29]', '[4274, 4274, 7*w^3 + 7*w^2 - 19*w - 17]', '[4274, 4274, -2*w^3 + 4*w^2 + 7*w - 7]', '[4274, 4274, 4*w^3 - 8*w^2 - 7*w + 16]', '[4274, 4274, w^3 - 7*w^2 - 5*w + 22]', '[4276, 2138, -w^3 + 9*w + 2]', '[4276, 2138, -2*w^3 - 5*w^2 + 4*w + 16]', '[4276, 4276, 5*w^2 - 17]', '[4286, 4286, w^3 + 4*w^2 + 8*w + 5]', '[4286, 4286, w^3 + w^2 - w - 10]', '[4287, 4287, -5*w^3 + 8*w^2 + 25*w - 33]', '[4287, 4287, -w^3 + 5*w + 9]', '[4289, 4289, 6*w^3 - 10*w^2 - 24*w + 35]', '[4289, 4289, 5*w^3 - 12*w^2 - 21*w + 53]', '[4292, 2146, 5*w^3 - 8*w^2 - 19*w + 28]', '[4292, 2146, w^2 - 4*w + 8]', '[4292, 4292, 2*w^3 + 4*w^2 - w - 5]', '[4293, 159, 3*w^3 + 6*w^2 - 15*w - 15]', '[4293, 4293, -9*w^3 - 8*w^2 + 33*w + 27]', '[4296, 1074, -3*w^3 + 2*w^2 + 14*w]', '[4296, 1074, -7*w^3 - 7*w^2 + 40*w + 36]', '[4296, 2148, 4*w^3 + w^2 - 23*w - 6]', '[4296, 4296, 2*w^3 - 8*w^2 - 7*w + 33]', '[4297, 4297, -7*w^3 + 10*w^2 + 33*w - 47]', '[4297, 4297, 6*w^3 - 8*w^2 - 28*w + 29]', '[4302, 4302, 3*w^3 + w^2 - 11*w + 6]', '[4302, 4302, -2*w^3 - 2*w^2 + 11*w + 3]', '[4304, 538, -4*w^3 + 8*w^2 + 16*w - 26]', '[4304, 1076, 5*w^3 + 5*w^2 - 20*w - 14]', '[4304, 1076, w^3 - 10]', '[4304, 2152, 3*w^3 + 2*w^2 - 7*w + 2]', '[4304, 4304, -5*w^3 - 2*w^2 + 22*w + 13]', '[4306, 4306, -w^3 + 10*w - 7]', '[4306, 4306, 2*w^3 - 6*w^2 - 13*w + 28]', '[4307, 4307, -6*w^3 + 2*w^2 + 28*w - 7]', '[4307, 4307, -2*w^3 + w^2 + 13*w + 1]', '[4309, 4309, 3*w^3 - 12*w^2 - 13*w + 53]', '[4309, 4309, -4*w^3 - w^2 + 23*w + 19]', '[4309, 4309, -2*w^3 - 2*w^2 + 10*w + 1]', '[4309, 4309, -4*w^3 - 5*w^2 + 19*w + 23]', '[4311, 4311, -w^3 + 7*w^2 - 27]', '[4314, 4314, 5*w^3 + w^2 - 23*w - 9]', '[4314, 4314, 2*w^3 - 13*w]', '[4314, 4314, -7*w^3 - 3*w^2 + 37*w + 30]', '[4314, 4314, 2*w^3 - 7*w^2 - 8*w + 27]', '[4317, 4317, 4*w^3 - 24*w + 3]', '[4321, 4321, -4*w^2 - 2*w + 7]', '[4327, 4327, -3*w^3 - 2*w^2 + 7*w - 1]', '[4327, 4327, 4*w^3 + 4*w^2 - 24*w - 23]', '[4327, 4327, -w^3 - w^2 + 2*w - 5]', '[4327, 4327, 3*w^3 + 6*w^2 - 13*w - 25]', '[4328, 1082, 3*w^3 + 3*w^2 - 12*w - 4]', '[4328, 1082, 7*w^3 - 2*w^2 - 28*w + 16]', '[4328, 1082, -5*w^3 - 3*w^2 + 24*w + 14]', '[4328, 1082, 7*w^3 - 12*w^2 - 30*w + 44]', '[4328, 2164, -w^3 + 2*w^2 + w - 14]', '[4328, 2164, 4*w^3 - w^2 - 13*w + 10]', '[4328, 4328, -3*w^3 + w^2 + 11*w - 1]', '[4328, 4328, 7*w^3 + 2*w^2 - 34*w - 19]', '[4332, 114, -3*w^3 + 4*w^2 + 7*w - 6]', '[4332, 114, -6*w^3 + 7*w^2 + 26*w - 30]', '[4332, 114, -2*w^3 - 5*w^2 + 9*w + 12]', '[4332, 114, w^2 - 8*w - 6]', '[4332, 228, -4*w^3 + 2*w^2 + 17*w + 9]', '[4332, 228, -2*w^3 + w^2 + 12*w - 15]', '[4337, 4337, -4*w^3 + 7*w^2 + 19*w - 35]', '[4337, 4337, -2*w^3 - 2*w^2 + 2*w - 1]', '[4339, 4339, -w^3 - 6*w^2 - 9*w - 1]', '[4339, 4339, -8*w^3 + 18*w^2 + 36*w - 77]', '[4341, 4341, -6*w^3 + 3*w^2 + 25*w + 3]', '[4343, 4343, -w^3 + 7*w^2 + 2*w - 17]', '[4344, 1086, w^3 + w^2 - 6*w + 6]', '[4344, 1086, -5*w^3 + 20*w - 12]', '[4344, 2172, 5*w^3 - 6*w^2 - 19*w + 24]', '[4344, 4344, -2*w^3 + 5*w^2 + 4*w - 15]', '[4346, 4346, -6*w^3 - 9*w^2 + 20*w + 17]', '[4346, 4346, 10*w^3 + 10*w^2 - 45*w - 37]', '[4346, 4346, -4*w^3 - 4*w^2 + 5*w + 4]', '[4346, 4346, -2*w^3 + 4*w^2 + 3*w + 2]', '[4348, 2174, 8*w^3 - 9*w^2 - 36*w + 38]', '[4348, 2174, 3*w^3 - 2*w^2 - 11*w + 4]', '[4348, 4348, 3*w^3 - 4*w^2 - 14*w + 23]', '[4353, 4353, 7*w^3 - 6*w^2 - 29*w + 9]', '[4356, 198, 2*w^3 + 5*w^2 - 17*w - 12]', '[4356, 198, 4*w^3 - w^2 - 23*w + 6]', '[4356, 198, -w^2 + 2*w - 6]', '[4356, 198, -4*w^3 + 9*w^2 + 20*w - 42]', '[4356, 396, 5*w^3 + 2*w^2 - 20*w - 3]', '[4356, 396, w^3 - 5*w^2 + w + 15]', '[4357, 4357, -6*w^3 - 3*w^2 + 27*w + 17]', '[4357, 4357, w^3 + w^2 - 4*w - 13]', '[4357, 4357, 3*w^3 + 2*w^2 - 13*w - 17]', '[4358, 4358, -4*w^3 + 2*w^2 + 17*w - 1]', '[4358, 4358, 2*w^3 - 2*w^2 - 17*w + 22]', '[4358, 4358, 5*w^3 + w^2 - 23*w - 20]', '[4358, 4358, -4*w^3 - 2*w^2 + 13*w + 7]', '[4362, 4362, 2*w^3 - 2*w^2 - 11*w]', '[4362, 4362, -5*w^2 - 2*w + 21]', '[4363, 4363, 5*w^3 + 3*w^2 - 22*w - 11]', '[4363, 4363, -w^3 - w^2 + 10*w + 17]', '[4366, 4366, -2*w^3 - 5*w^2 + 14*w + 19]', '[4366, 4366, 5*w^3 - 4*w^2 - 24*w + 17]', '[4366, 4366, -2*w^3 + 4*w^2 + 9*w - 10]', '[4366, 4366, -2*w^3 - 4*w^2 + 13*w + 22]', '[4371, 4371, -2*w^3 - 3*w^2 + 15*w + 15]', '[4371, 4371, w^3 - 8*w^2 - w + 33]', '[4371, 4371, -8*w^3 + 13*w^2 + 39*w - 57]', '[4371, 4371, -w^3 + 9*w - 3]', '[4372, 2186, -2*w^3 + 11*w^2 - 10*w - 10]', '[4372, 2186, 4*w^3 - 11*w^2 - 5*w + 22]', '[4372, 2186, 2*w^3 - w^2 - 17*w - 10]', '[4372, 2186, -4*w^3 + 5*w^2 + 16*w - 16]', '[4372, 4372, 4*w^3 + w^2 - 14*w - 11]', '[4372, 4372, -4*w^3 - 6*w^2 + 15*w + 19]', '[4374, 18, -3*w^3 + 3*w^2 + 9*w - 12]', '[4374, 18, 3*w^3 - 3*w^2 - 9*w + 3]', '[4374, 162, -3*w^3 - 3*w^2 + 15*w + 9]', '[4374, 162, 3*w^3 + 3*w^2 - 9*w]', '[4374, 4374, -2*w^3 + 2*w^2 + 13*w - 12]', '[4374, 4374, -3*w^3 + 10*w + 15]', '[4376, 1094, -w^3 + 2*w^2 + 6*w - 16]', '[4376, 1094, -7*w^3 - 7*w^2 + 30*w + 26]', '[4376, 1094, -3*w^3 + 9*w^2 + 2*w - 10]', '[4376, 1094, -3*w^3 + 6*w^2 + 14*w - 20]', '[4376, 2188, -w^3 - 4*w^2 - 3*w + 4]', '[4376, 2188, w^3 - 2*w^2 + 5*w - 8]', '[4376, 4376, -2*w^3 + 9*w^2 - 8*w - 7]', '[4376, 4376, 8*w^3 + 5*w^2 - 38*w - 31]', '[4377, 4377, -2*w^3 - 4*w^2 + 16*w + 9]', '[4377, 4377, -3*w^3 + w^2 + 14*w - 9]', '[4383, 4383, w^3 - 5*w^2 - 6*w + 27]', '[4383, 4383, -w^3 + 4*w^2 + 7*w - 21]', '[4383, 4383, -3*w^2 - 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1]', '[5167, 5167, w^3 + 2*w^2 - 7*w - 17]', '[5167, 5167, -3*w^3 - 6*w^2 + 5*w + 13]', '[5167, 5167, 6*w^3 - 28*w - 11]', '[5167, 5167, -4*w^3 + 5*w^2 + 17*w - 13]', '[5169, 5169, -6*w^3 + 5*w^2 + 17*w + 9]', '[5169, 5169, -3*w^3 + 5*w^2 + 10*w - 9]', '[5178, 5178, 2*w^3 + 9*w^2 - 4*w - 21]', '[5178, 5178, 2*w^3 - 2*w^2 - 3*w + 6]', '[5178, 5178, 4*w^3 + 4*w^2 - 9*w - 12]', '[5178, 5178, 3*w^3 - 14*w + 9]', '[5179, 5179, 6*w^3 + 4*w^2 - 34*w - 31]', '[5183, 5183, -6*w^3 - 6*w^2 + 24*w + 23]', '[5183, 5183, -7*w^3 - 3*w^2 + 38*w + 31]', '[5184, 12, 6*w^2 - 24]', '[5184, 12, 6*w^2 - 6*w - 12]', '[5184, 12, -3*w^3 + 18*w + 6]', '[5184, 24, 6*w - 6]', '[5184, 48, -3*w^3 + 3*w^2 + 6*w + 6]', '[5184, 96, 3*w^3 - 6*w^2 - 9*w + 12]', '[5184, 192, 3*w^3 - 6*w^2 - 18*w + 33]', '[5184, 324, 4*w^3 + 6*w^2 - 8*w - 12]', '[5184, 324, w^3 - 8*w^2 + 10*w + 6]', '[5184, 324, -4*w^3 - 2*w^2 + 14*w + 12]', '[5184, 648, -4*w^2 - 2*w + 6]', '[5184, 1296, -w^3 - 5*w^2 + 18]', '[5184, 2592, -w^3 + 9*w]', '[5184, 5184, -w^3 + 6*w^2 + 4*w - 21]', '[5188, 2594, -2*w^3 + 3*w^2 + 5*w + 4]', '[5188, 2594, -3*w^2 + 2*w + 20]', '[5188, 5188, 3*w^3 - 3*w^2 - 9*w + 5]', '[5191, 5191, 2*w^3 + 5*w^2 - 11*w - 13]', '[5196, 2598, -3*w^3 + 6*w^2 - w]', '[5196, 2598, 4*w^3 - 13*w^2 + 12]', '[5196, 5196, -6*w^3 - 6*w^2 + 11*w + 9]', '[5197, 5197, 4*w^3 + 11*w^2 - 7*w - 25]', '[5197, 5197, 2*w^3 + 2*w^2 - 6*w - 11]', '[5199, 5199, -7*w^3 + 9*w^2 + 30*w - 39]', '[5199, 5199, 5*w^3 - 2*w^2 - 23*w + 3]', '[5203, 473, -w^3 + 9*w - 1]', '[5203, 473, w^3 + w^2 - 10*w + 11]', '[5209, 5209, 5*w^2 - 3*w - 17]', '[5209, 5209, -6*w^3 - 9*w^2 + 17*w + 13]', '[5216, 652, 4*w^3 - 8*w^2 - 22*w + 40]', '[5216, 652, 3*w^3 - 6*w^2 - 10*w + 14]', '[5216, 652, -2*w^3 - 2*w^2 + 2*w - 2]', '[5216, 1304, -5*w^3 - 3*w^2 + 18*w + 2]', '[5216, 2608, -w^3 + 7*w + 10]', '[5216, 5216, 4*w^3 - w^2 - 16*w + 5]', '[5217, 5217, -w^3 + w^2 + 10*w + 3]', '[5217, 5217, 5*w^2 - 9*w - 3]', '[5223, 5223, -2*w^3 + 3*w^2 + 15*w - 21]', '[5223, 5223, w^2 + 3*w - 15]', '[5228, 2614, -3*w^3 + 4*w^2 - w + 2]', '[5228, 2614, 2*w^3 - 9*w^2 - 14*w + 34]', '[5228, 5228, 2*w^3 - 11*w^2 - 4*w + 25]', '[5231, 5231, -2*w^3 + 8*w^2 + 4*w - 19]', '[5232, 654, 4*w^3 - 6*w^2 - 14*w + 18]', '[5232, 1308, w^3 + 3*w^2 + 4*w]', '[5232, 1308, -w^3 + 2*w^2 + 6]', '[5232, 2616, 4*w^3 + 7*w^2 - 13*w - 18]', '[5232, 5232, 3*w^3 - w^2 - 17*w - 9]', '[5233, 5233, 2*w^3 - 5*w^2 - 5*w + 7]', '[5237, 5237, 7*w^3 - 11*w^2 - 30*w + 43]', '[5237, 5237, 6*w + 11]', '[5238, 582, 4*w^3 - 4*w^2 - 21*w + 28]', '[5238, 582, -w^3 - 2*w^2 + 12*w - 7]', '[5238, 5238, -4*w^3 + 2*w^2 + 13*w - 12]', '[5238, 5238, 3*w^3 - 2*w^2 - 10*w + 3]', '[5241, 5241, 3*w^3 + 6*w^2 - 13*w - 27]', '[5242, 5242, -4*w^3 + 6*w^2 + 21*w - 34]', '[5242, 5242, -w^3 + 3*w^2 + 7*w - 22]', '[5242, 5242, -4*w^3 - 6*w^2 + 15*w + 17]', '[5242, 5242, -9*w^3 + 15*w^2 + 39*w - 59]', '[5248, 164, -2*w^3 - 6*w^2 + 4*w + 8]', '[5248, 164, 6*w^3 - 12*w^2 - 28*w + 56]', '[5248, 164, 6*w^3 + 2*w^2 - 28*w - 16]', '[5248, 164, -2*w^3 + 4*w - 8]', '[5248, 328, 5*w^3 - 4*w^2 - 22*w + 10]', '[5248, 328, -2*w^2 + 2*w + 16]', '[5248, 328, -4*w^3 - 6*w^2 + 10*w + 16]', '[5248, 328, -5*w^3 - 4*w^2 + 22*w + 14]', '[5248, 656, -2*w^3 + 4*w^2 + 4*w + 2]', '[5248, 656, 6*w + 2]', '[5248, 1312, 3*w^3 - 3*w^2 - 8*w + 4]', '[5248, 1312, w^3 + 5*w^2 - 4*w - 14]', '[5248, 2624, 2*w^3 - w^2 - 11*w + 14]', '[5248, 2624, 3*w^3 - 2*w^2 - 13*w - 4]', '[5248, 5248, -w^3 - 2*w^2 + 2*w + 13]', '[5248, 5248, -w^3 - 3*w^2 + 11*w + 1]', '[5249, 5249, 10*w^3 - 20*w^2 - 42*w + 77]', '[5251, 5251, -w^3 - 3*w^2 + 10*w + 13]', '[5251, 5251, -2*w^3 - 5*w^2 + 11*w + 23]', '[5254, 5254, -2*w^3 + w - 2]', '[5254, 5254, -w^2 + 6*w + 1]', '[5254, 5254, -3*w^3 - 4*w^2 + 12*w + 5]', '[5254, 5254, -3*w^3 + 5*w^2 + 17*w - 16]', '[5256, 1314, -w^3 - 4*w^2 + 4*w + 24]', '[5256, 1314, 7*w^3 - 11*w^2 - 32*w + 42]', '[5256, 2628, w^3 + 8*w^2 - 9*w - 36]', '[5256, 5256, -w^3 + w^2 - w - 15]', '[5259, 5259, -5*w^3 - 6*w^2 + 27*w + 33]', '[5262, 5262, w^3 + 5*w^2 - 7*w - 21]', '[5262, 5262, 3*w^3 - 7*w^2 - 15*w + 24]', '[5266, 5266, 5*w^3 + 5*w^2 - 25*w - 23]', '[5266, 5266, -4*w^3 - 4*w^2 + 9*w + 1]', '[5266, 5266, 2*w^3 - 4*w^2 - 13*w + 28]', '[5266, 5266, -7*w^3 - 7*w^2 + 27*w + 20]', '[5268, 2634, 5*w^3 - 6*w^2 - 27*w + 30]', '[5268, 2634, -7*w^2 + 6*w + 24]', '[5268, 5268, -7*w^3 - 3*w^2 + 33*w + 21]', '[5274, 5274, -w^3 - 6*w^2 - 2*w + 15]', '[5274, 5274, 3*w^3 - 5*w^2 - 11*w + 24]', '[5274, 5274, -w^3 - 3*w^2 + 3*w]', '[5274, 5274, 6*w^2 + w - 21]', '[5274, 5274, -4*w^3 - 6*w^2 + 15*w + 18]', '[5274, 5274, -5*w^3 + w^2 + 23*w + 3]', '[5274, 5274, 3*w^3 + 5*w^2 - 19*w - 15]', '[5274, 5274, -w^3 + w^2 + 9*w]', '[5276, 2638, -w^3 - 6*w^2 + 17*w + 16]', '[5276, 2638, -4*w^3 - w^2 + 24*w + 14]', '[5276, 5276, w^3 + 6*w^2 - 10*w - 13]', '[5279, 5279, w^3 + 6*w^2 - 11*w - 19]', '[5281, 5281, -4*w^3 - w^2 + 21*w + 5]', '[5281, 5281, 10*w^3 - 15*w^2 - 45*w + 59]', '[5288, 1322, -7*w^3 + 12*w^2 + 28*w - 44]', '[5288, 1322, -w^3 - 3*w^2 - 2*w + 4]', '[5288, 1322, 5*w^3 - 7*w^2 - 20*w + 32]', '[5288, 1322, 3*w^3 - 14*w + 4]', '[5288, 2644, -2*w^3 - 7*w^2 + 5*w + 20]', '[5288, 2644, -4*w^3 + 3*w^2 + 17*w - 8]', '[5288, 5288, -5*w^3 + 9*w^2 + 23*w - 43]', '[5288, 5288, -2*w^3 + 2*w^2 + 11*w + 1]', '[5289, 5289, -10*w^3 - 6*w^2 + 44*w + 33]', '[5289, 5289, 5*w^3 + 5*w^2 - 30*w - 21]', '[5294, 5294, -4*w^2 + 9*w + 5]', '[5294, 5294, -4*w^3 + 4*w^2 + 21*w - 14]', '[5296, 662, -4*w^3 - 6*w^2 + 18*w + 26]', '[5296, 1324, 3*w^3 - 7*w^2 - 18*w + 22]', '[5296, 1324, -13*w^3 + 24*w^2 + 60*w - 106]', '[5296, 2648, 5*w^3 + 6*w^2 - 25*w - 34]', '[5296, 5296, -6*w^3 + 7*w^2 + 30*w - 23]', '[5298, 5298, 2*w^3 - 6*w^2 - 11*w + 30]', '[5298, 5298, -4*w^3 - w^2 + 24*w + 3]', '[5308, 2654, -3*w^2 + 11*w + 10]', '[5308, 2654, -2*w^3 + w^2 + 16*w + 8]', '[5308, 5308, 2*w^3 + 6*w^2 - 11*w - 13]', '[5311, 5311, 2*w^3 - w^2 - 5*w - 11]', '[5311, 5311, -7*w^3 - 5*w^2 + 34*w + 31]', '[5314, 5314, -3*w^3 + 3*w^2 + 11*w - 20]', '[5314, 5314, 2*w^3 - 9*w - 11]', '[5314, 5314, 5*w^3 + w^2 - 25*w - 7]', '[5314, 5314, 8*w^3 - 18*w^2 - 27*w + 58]', '[5316, 2658, 5*w^3 - 6*w^2 - 21*w + 24]', '[5316, 2658, -w^2 + 12]', '[5316, 5316, 5*w^2 - 4*w - 21]', '[5318, 5318, w^3 + 3*w^2 - 7*w + 2]', '[5318, 5318, -w^3 - 3*w^2 + 19*w - 16]', '[5318, 5318, 5*w^3 - 5*w^2 - 17*w + 19]', '[5318, 5318, 2*w^3 - 3*w^2 - 8*w - 1]', '[5326, 5326, -3*w^3 + 5*w^2 + 11*w - 11]', '[5326, 5326, 3*w^3 - w^2 - 9*w - 10]', '[5328, 666, -4*w^3 - 8*w^2 + 12*w + 18]', '[5328, 1332, -3*w^3 - 4*w^2 + 4*w + 6]', '[5328, 1332, -w^3 + 3*w^2 + 6*w]', '[5328, 2664, 2*w^3 + 3*w^2 - 5*w - 12]', '[5328, 5328, 2*w^3 + 2*w^2 - 15*w - 9]', '[5329, 5329, w^3 - 3*w^2 - 4*w + 19]', '[5332, 2666, 8*w^3 + 9*w^2 - 28*w - 26]', '[5332, 2666, 7*w^3 + 4*w^2 - 21*w - 16]', '[5332, 2666, -2*w^3 + 3*w^2 + 10*w + 4]', '[5332, 2666, 3*w^3 + 2*w^2 - 9*w - 10]', '[5332, 5332, 3*w^3 + 8*w^2 - 8*w - 11]', '[5332, 5332, 3*w^3 + 4*w^2 - 22*w - 17]', '[5337, 5337, 2*w^3 - w^2 - w + 3]', '[5337, 5337, -4*w^3 - w^2 + 11*w + 3]', '[5347, 5347, 7*w^3 + 5*w^2 - 28*w - 17]', '[5349, 5349, -w^3 + 3*w^2 + 6*w - 3]', '[5349, 5349, 2*w^3 + 2*w^2 - 2*w + 3]', '[5349, 5349, 2*w^3 + 5*w^2 - 13*w - 21]', '[5349, 5349, 7*w^3 - 2*w^2 - 27*w - 15]', '[5353, 5353, 4*w^2 + 2*w - 19]', '[5354, 5354, -w^3 + 5*w^2 - 5*w - 10]', '[5354, 5354, -w^3 - 3*w^2 + 9*w + 1]', '[5361, 5361, 2*w^3 + 7*w^2 - 21*w - 15]', '[5361, 5361, -5*w^3 + 2*w^2 + 23*w - 9]', '[5364, 2682, 5*w^3 - 2*w^2 - 17*w - 12]', '[5364, 2682, w^2 - 6*w]', '[5364, 5364, -3*w^3 + 4*w^2 + 10*w - 3]', '[5366, 5366, -4*w^3 + 12*w^2 - 5*w - 8]', '[5366, 5366, -4*w^2 - 5*w + 10]', '[5366, 5366, 2*w^3 - 6*w^2 - 3*w + 5]', '[5366, 5366, -w^3 - 5*w^2 + 5*w + 20]', '[5366, 5366, -7*w^3 - 3*w^2 + 19*w + 13]', '[5366, 5366, w^3 - 10*w^2 - 8*w + 35]', '[5366, 5366, 2*w^3 - 4*w^2 - 11*w + 10]', '[5366, 5366, -7*w^2 + 8*w + 13]', '[5378, 5378, -2*w^3 - 4*w^2 + w - 1]', '[5378, 5378, -2*w^3 - 2*w^2 + 11*w + 2]', '[5378, 5378, 4*w^3 - 10*w^2 - 17*w + 38]', '[5378, 5378, -3*w^3 + 4*w^2 + 10*w - 17]', '[5381, 5381, w^3 - 7*w^2 - 4*w + 29]', '[5384, 1346, 5*w^3 - 9*w^2 - 16*w + 26]', '[5384, 1346, -w^3 + 4*w^2 - 4*w + 4]', '[5384, 1346, 3*w^3 + 7*w^2 - 4*w - 8]', '[5384, 1346, 3*w^3 - 2*w^2 - 16*w + 16]', '[5384, 2692, 6*w^3 + 9*w^2 - 17*w - 22]', '[5384, 2692, 2*w^3 + 3*w^2 - w - 4]', '[5384, 5384, w^3 - w^2 - 11*w - 5]', '[5384, 5384, 3*w^3 + 7*w^2 - 9*w - 17]', '[5386, 5386, -4*w^3 + w^2 + 16*w + 5]', '[5386, 5386, 5*w^3 - 5*w^2 - 35*w + 44]', '[5388, 2694, 2*w^3 + w^2 - 14*w - 6]', '[5388, 2694, -5*w^2 + w + 18]', '[5388, 2694, -2*w^3 + w^2 + 4*w - 6]', '[5388, 2694, 4*w^3 - w^2 - 15*w - 6]', '[5388, 5388, -5*w^3 + w^2 + 23*w + 9]', '[5388, 5388, -w + 9]', '[5391, 5391, -5*w^2 + w + 15]', '[5392, 674, -2*w^3 + 4*w^2 + 6*w - 22]', '[5392, 674, 2*w^3 + 4*w^2 - 2*w - 10]', '[5392, 674, -2*w^3 + 4*w^2 + 6*w - 2]', '[5392, 674, 2*w^3 - 6*w - 14]', '[5392, 1348, -5*w^3 - 2*w^2 + 24*w + 10]', '[5392, 1348, 3*w^3 + 6*w^2 - 12*w - 14]', '[5392, 1348, w^3 + w^2 - 10]', '[5392, 1348, -5*w^3 + 7*w^2 + 20*w - 22]', '[5392, 1348, -9*w^3 + 11*w^2 + 40*w - 50]', '[5392, 1348, -3*w^3 - w^2 + 10*w + 10]', '[5392, 1348, -3*w^3 + 4*w^2 + 16*w - 10]', '[5392, 1348, -7*w^3 + 2*w^2 + 28*w + 14]', '[5392, 2696, w^3 - 6*w^2 - 3*w + 32]', '[5392, 2696, w^3 - 4*w^2 - 5*w + 8]', '[5392, 2696, w^3 + 4*w^2 - 13*w - 8]', '[5392, 2696, -w^3 - 8*w^2 + 13*w + 28]', '[5392, 5392, w^3 - 6*w^2 + 17]', '[5392, 5392, 11*w^3 - 16*w^2 - 50*w + 67]', '[5392, 5392, 2*w^3 + 5*w^2 - 14*w - 17]', '[5392, 5392, 5*w^3 - 4*w^2 - 28*w + 23]', '[5393, 5393, w^2 - 7*w + 5]', '[5393, 5393, -4*w^3 + 6*w^2 + 14*w - 17]', '[5394, 5394, 5*w^3 + 5*w^2 - 21*w - 15]', '[5394, 5394, -3*w^3 - 5*w^2 + 17*w + 24]', '[5394, 5394, -4*w^3 + 8*w^2 + 15*w - 24]', '[5394, 5394, 4*w^3 - 4*w^2 - 21*w + 15]', '[5402, 5402, -5*w^3 + 5*w^2 + 23*w - 14]', '[5402, 5402, -7*w^3 + 15*w^2 + 33*w - 67]', '[5403, 5403, -4*w^3 + 3*w^2 + 17*w - 9]', '[5403, 5403, 3*w^3 - 2*w^2 - 9*w + 3]', '[5407, 5407, 4*w^3 + 3*w^2 - 17*w - 17]', '[5409, 5409, 2*w^3 + w^2 - 5*w - 21]', '[5417, 5417, -w^3 + 5*w^2 + 4*w - 11]', '[5417, 5417, -6*w^3 - 5*w^2 + 21*w + 13]', '[5419, 5419, 7*w^3 - 15*w^2 - 34*w + 71]', '[5422, 5422, -2*w^3 + 3*w^2 + 10*w - 5]', '[5422, 5422, -7*w^3 + 15*w^2 + 31*w - 61]', '[5422, 5422, 4*w^3 + 2*w^2 - 17*w - 16]', '[5422, 5422, -3*w^3 + 3*w^2 + 17*w - 14]', '[5424, 678, -10*w^3 - 6*w^2 + 56*w + 42]', '[5424, 1356, 5*w^3 + 5*w^2 - 26*w - 24]', '[5424, 1356, -5*w^3 - 4*w^2 + 20*w + 18]', '[5424, 2712, -2*w^3 + w^2 + 13*w]', '[5424, 5424, w^3 - 6*w^2 + 8*w + 9]', '[5433, 5433, -4*w^3 + 10*w^2 + 4*w - 9]', '[5437, 5437, 3*w^3 - 2*w^2 - 17*w - 1]', '[5442, 5442, -5*w^3 - 5*w^2 + 19*w + 12]', '[5442, 5442, -4*w^3 - 2*w^2 + 11*w - 3]', '[5443, 5443, -8*w^3 - 8*w^2 + 34*w + 29]', '[5443, 5443, 2*w^3 + 3*w^2 - 17*w - 13]', '[5444, 2722, 7*w^2 + 2*w - 22]', '[5444, 2722, 2*w^3 - 3*w^2 - 9*w + 4]', '[5444, 5444, w^3 - 5*w^2 - 7*w + 23]', '[5448, 1362, -9*w^3 - 7*w^2 + 48*w + 42]', '[5448, 1362, -3*w^3 + 2*w^2 + 16*w]', '[5448, 2724, 5*w^3 - 27*w - 6]', '[5448, 5448, 2*w^3 - 9*w^2 - 8*w + 39]', '[5449, 5449, -2*w^3 + 5*w^2 + 13*w - 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16*w - 27]', '[5622, 5622, 2*w^3 - 4*w^2 - 7*w + 6]', '[5622, 5622, 4*w^3 - 6*w^2 - 17*w + 18]', '[5622, 5622, w^3 - 4*w^2 - 8*w + 21]', '[5625, 45, -5*w^2 - 5*w + 15]', '[5626, 5626, -4*w^3 + 6*w^2 + 21*w - 26]', '[5626, 5626, 2*w^3 - 8*w^2 + 7*w + 5]', '[5631, 5631, -2*w^3 - w^2 + 5*w + 9]', '[5634, 5634, 7*w^3 + 7*w^2 - 23*w - 12]', '[5634, 5634, w^3 - w^2 - 9*w - 9]', '[5637, 5637, w^3 - w^2 + 4*w - 9]', '[5637, 5637, -5*w^3 + w^2 + 24*w - 3]', '[5639, 5639, 5*w^3 + 2*w^2 - 25*w - 11]', '[5639, 5639, w^3 + 2*w^2 + w + 5]', '[5641, 5641, w^3 + 5*w^2 - 4*w - 17]', '[5641, 5641, -6*w^3 - 8*w^2 + 20*w + 23]', '[5648, 706, -4*w^3 + 6*w^2 + 6*w + 2]', '[5648, 1412, -w^3 - 4*w^2 + 4*w + 22]', '[5648, 1412, 3*w^3 - 7*w^2 - 6*w + 10]', '[5648, 2824, -w^3 + 12*w^2 - 13*w - 22]', '[5648, 5648, -5*w^2 + 12*w + 1]', '[5651, 5651, -w^3 + 6*w^2 + w - 25]', '[5652, 2826, -4*w^3 - 9*w^2 + 9*w + 18]', '[5652, 2826, -6*w^3 - 7*w^2 + 18*w + 18]', '[5652, 2826, -7*w^2 - 2*w + 24]', '[5652, 2826, -3*w^3 + 2*w^2 + 15*w]', '[5652, 2826, -4*w^3 - 3*w^2 + 16*w + 6]', '[5652, 2826, -4*w^3 + w^2 + 13*w - 12]', '[5652, 2826, w^3 + 4*w^2 - 9*w - 18]', '[5652, 2826, 4*w^3 - 3*w^2 - 16*w + 12]', '[5652, 5652, -4*w^3 + 3*w^2 + 20*w - 15]', '[5652, 5652, -w^3 + 6*w^2 + 6*w - 27]', '[5652, 5652, 4*w^3 - 17*w - 3]', '[5652, 5652, 3*w^3 + 5*w^2 - 13*w - 15]', '[5653, 5653, 5*w^3 + 2*w^2 - 17*w - 1]', '[5664, 708, 4*w^3 + 4*w^2 - 18*w - 12]', '[5664, 708, -6*w^3 + 14*w^2 + 10*w - 24]', '[5664, 708, -5*w^3 - 6*w^2 + 14*w + 6]', '[5664, 708, 2*w^3 - 4*w + 6]', '[5664, 708, 5*w^3 - 14*w^2 + 2*w + 6]', '[5664, 708, 2*w^2 - 8*w - 6]', '[5664, 1416, -5*w^3 - w^2 + 22*w + 12]', '[5664, 1416, -w^3 - 5*w^2 + 6*w + 12]', '[5664, 2832, w^2 - w - 12]', '[5664, 2832, -3*w^2 - 5*w + 12]', '[5664, 5664, 2*w^3 - 5*w - 9]', '[5664, 5664, 6*w^3 + 4*w^2 - 33*w - 21]', '[5667, 5667, -4*w^3 + 14*w - 3]', '[5669, 5669, -2*w^3 - 4*w^2 + 8*w + 19]', '[5671, 5671, -w^3 + 5*w^2 + 6*w - 13]', '[5671, 5671, w^3 + 4*w^2 - w - 1]', '[5672, 1418, -7*w^3 + 14*w^2 + 34*w - 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17]', '[293, 293, -3*w^3 - 3*w^2 + 14*w + 11]', '[293, 293, 3*w^3 - 4*w^2 - 15*w + 19]', '[293, 293, 3*w^3 + w^2 - 14*w - 7]', '[307, 307, 2*w^3 - 3*w^2 - 5*w + 1]', '[307, 307, 2*w^3 - 4*w^2 - 4*w + 7]', '[311, 311, -3*w^3 + 3*w^2 + 14*w - 13]', '[313, 313, w^3 + 3*w^2 + 2*w + 1]', '[317, 317, -3*w^3 - 3*w^2 + 10*w + 5]', '[331, 331, -2*w^3 - 3*w^2 + 9*w + 13]', '[337, 337, -w^3 + 2*w^2 + 3*w - 11]', '[337, 337, w^3 + 2*w^2 - w - 5]', '[337, 337, -w^3 + 2*w^2 + 3*w - 1]', '[337, 337, w^3 - 3*w - 7]', '[347, 347, 3*w^3 - 4*w^2 - 15*w + 17]', '[347, 347, -w^3 + 2*w^2 + 5*w - 5]', '[349, 349, -2*w^3 + 2*w^2 + 8*w - 5]', '[353, 353, -2*w^3 + 3*w^2 + 3*w + 1]', '[361, 19, -5*w^3 - 4*w^2 + 21*w + 17]', '[361, 19, 3*w^3 + w^2 - 10*w + 1]', '[373, 373, -2*w^3 + w^2 + 11*w - 1]', '[379, 379, w^3 - w^2 - 6*w - 1]', '[379, 379, -w^3 + 7*w - 5]', '[389, 389, 2*w^3 - 2*w^2 - 8*w + 7]', '[397, 397, 2*w^3 + 5*w^2 - 5*w - 13]', '[409, 409, w^3 + w^2 - 6*w - 1]', '[421, 421, -2*w^3 + 2*w^2 + 10*w - 5]', '[433, 433, -w^3 - 3*w^2 + 6*w + 7]', '[439, 439, 3*w^2 - 3*w - 7]', '[443, 443, 3*w^3 + w^2 - 14*w - 5]', '[449, 449, -4*w^3 - 3*w^2 + 19*w + 17]', '[449, 449, -w^3 + 3*w^2 + 6*w - 17]', '[457, 457, w^3 + 2*w^2 + w + 1]', '[457, 457, -2*w^3 + w^2 + 9*w - 7]', '[461, 461, -w^3 + 7*w + 7]', '[461, 461, -4*w^2 + 17]', '[467, 467, -2*w^3 + w^2 + 11*w + 1]', '[479, 479, 5*w^3 - 8*w^2 - 25*w + 37]', '[487, 487, w^3 + w^2 - 8*w + 1]', '[487, 487, 7*w^3 - 12*w^2 - 31*w + 49]', '[487, 487, 2*w^3 + w^2 - 13*w - 11]', '[487, 487, 4*w^3 + 3*w^2 - 17*w - 11]', '[491, 491, -2*w^2 - 2*w + 1]', '[499, 499, 2*w^3 - 8*w - 1]', '[503, 503, -2*w^3 - w^2 + 11*w + 11]', '[503, 503, 3*w^3 - w^2 - 14*w + 1]', '[509, 509, -4*w^3 + 9*w^2 + 17*w - 37]', '[523, 523, -w^3 - 3*w^2 + 5]', '[541, 541, 6*w^3 + 6*w^2 - 20*w - 13]', '[541, 541, w^3 - 7*w + 1]', '[547, 547, w^2 - 3*w - 5]', '[547, 547, w^2 + 3*w - 1]', '[557, 557, -7*w^3 - 4*w^2 + 35*w + 25]', '[557, 557, -3*w^3 - 2*w^2 + 13*w + 7]', '[569, 569, -2*w^3 + 5*w^2 + 5*w - 11]', '[569, 569, w^3 + w^2 - 8*w - 5]', '[571, 571, -w^3 - 3*w^2 + 4*w + 11]', '[571, 571, -2*w^3 - 2*w^2 + 12*w + 13]', '[593, 593, -4*w^2 + 4*w + 7]', '[593, 593, 3*w^2 + w - 13]', '[599, 599, -2*w^3 + 2*w^2 + 6*w - 1]', '[601, 601, -w^3 + 3*w - 5]', '[607, 607, 2*w^3 - 12*w - 5]', '[607, 607, w^3 + w^2 + 1]', '[613, 613, -2*w^3 - 2*w^2 + 6*w + 7]', '[617, 617, w^3 - 7*w - 1]', '[619, 619, -2*w^3 + 12*w - 1]', '[625, 5, -5]', '[631, 631, -w^3 + w^2 + 2*w - 5]', '[641, 641, 2*w^3 - w^2 - 7*w - 1]', '[641, 641, 4*w^3 + 2*w^2 - 22*w - 19]', '[641, 641, -w^3 - 2*w^2 + 7*w + 11]', '[641, 641, 3*w^2 - 3*w - 11]', '[661, 661, -w^3 - w^2 + 6*w - 1]', '[661, 661, 3*w^3 + 2*w^2 - 11*w - 7]', '[673, 673, 3*w^3 - 2*w^2 - 13*w + 11]', '[673, 673, 2*w^3 - 6*w - 1]', '[683, 683, w^2 + 3*w - 5]', '[709, 709, 3*w^2 - w - 11]', '[719, 719, -2*w^3 + 6*w + 5]', '[719, 719, 2*w^3 + 5*w^2 - w - 5]', '[727, 727, 2*w^2 - 2*w - 11]', '[733, 733, 4*w^2 - 2*w - 19]', '[739, 739, -2*w^3 + 4*w^2 + 6*w - 13]', '[739, 739, w^3 - 9*w + 7]', '[739, 739, -2*w^3 + 10*w - 1]', '[739, 739, -2*w^3 - 2*w^2 + 12*w + 7]', '[751, 751, -4*w^3 - 3*w^2 + 15*w + 11]', '[751, 751, -2*w^3 - w^2 + 5*w - 1]', '[821, 821, 3*w^3 + 5*w^2 - 10*w - 11]', '[823, 823, -w^3 - w^2 + 8*w + 11]', '[839, 839, w^3 + 2*w^2 + w - 1]', '[853, 853, 2*w^3 + w^2 - 7*w - 7]', '[857, 857, w^3 + 4*w^2 - w - 13]', '[859, 859, 2*w - 7]', '[859, 859, -5*w^3 + 11*w^2 + 20*w - 43]', '[863, 863, 2*w^3 + 2*w^2 - 8*w - 1]', '[863, 863, -w^3 + 3*w^2 + 4*w - 7]', '[877, 877, -4*w^3 + 7*w^2 + 17*w - 31]', '[883, 883, 5*w^3 - 7*w^2 - 24*w + 31]', '[907, 907, 4*w^3 - 6*w^2 - 16*w + 19]', '[919, 919, 2*w^3 + 3*w^2 - 9*w - 11]', '[929, 929, w^3 - w^2 - 2*w - 5]', '[937, 937, -w^3 + 3*w^2 + 2*w - 11]', '[937, 937, -3*w^3 + 7*w^2 + 12*w - 29]', '[947, 947, 2*w^3 - 3*w^2 - 11*w + 13]', '[947, 947, 2*w^3 - w^2 - 11*w + 7]', '[961, 31, 2*w^3 - 4*w^2 - 2*w - 1]', '[967, 967, 3*w^3 + 4*w^2 - 9*w - 11]', '[971, 971, -4*w^3 - 4*w^2 + 18*w + 17]', '[991, 991, -w^3 + w^2 + 2*w - 7]']}
-
nf_fields • Show schema
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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [6, 4, -6, -1, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 17428, 'disc_rad': 8714, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[3, 1], [1, 1]]], [5, [[4, 1]]], [7, [[4, 1]]], [11, [[2, 2]]], [13, [[4, 1]]], [17, [[4, 1]]], [19, [[2, 2]]], [23, [[4, 1]]], [29, [[3, 1], [1, 1]]], [31, [[2, 1], [1, 2]]], [37, [[3, 1], [1, 1]]], [41, [[2, 1], [1, 2]]], [43, [[3, 1], [1, 1]]], [47, [[2, 1], [1, 2]]], [53, [[3, 1], [1, 1]]], [59, [[2, 1], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [16, 12], 'galois_label': '4T5', 'galt': 5, 'grd': 104.78049450534162, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.17428.1', 'local_algs': ['2.1.0.1', '2.3.2.1', 'm4357.1.1.0', 'm4357.1.1.0', 'm4357.2.1.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [2, 4357], 'rd': 11.4897846214, 'regulator': {'__RealLiteral__': 0, 'data': '17.931847879', 'prec': 40}, 'res': {'gal': ['16,0,-18000,0,944656,0,-10281336,0,36427836,0,-43199732,0,23119877,0,-6462878,0,1012899,0,-90568,0,4475,0,-110,0,1'], 'sib': ['-164,564,496,-2388,-354,2844,-225,-1032,139,138,-21,-6,1', '2,-8,-4,23,-9,-3,1', '2063,3515,1436,-63,-76,-1,1', '263169,0,-752409,0,598338,0,-97753,0,5478,0,-125,0,1', '27253,-45354,-41668,2592,4799,-36,-144,0,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{3} - 5 a - 1 \\)', '\\( a^{3} + a^{2} - 6 a - 5 \\)', '\\( a^{3} - 2 a^{2} - 3 a + 5 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}