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hmf_forms • Show schema
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{'deg': 4, 'dimension': 2, 'disc': 13068, 'field_bad_primes': [2, 3, 11], 'field_label': '4.4.13068.1', 'is_CM': 'yes', 'is_base_change': 'yes', 'label': '4.4.13068.1-1.1-b', 'label_nsuffix': 1, 'label_suffix': 'b', 'level_bad_primes': [], 'level_ideal': '[1, 1, 1]', 'level_label': '1.1', 'level_norm': 1, 'parallel_weight': 2, 'short_label': '1.1-b', 'weight': '[2, 2, 2, 2]'}
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hmf_hecke • Show schema
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{'AL_eigenvalues': [], 'hecke_eigenvalues': [0, 'e', '-1/2*e + 2', 0, 0, 0, 0, '-2*e - 4', '-2*e - 4', 0, 0, 'e + 8', 'e + 8', 0, 0, 0, 0, '-2*e + 8', '-2*e + 8', '4*e + 2', '4*e + 2', 0, 0, 'e - 16', 'e - 16', 0, 0, 0, 0, '4*e - 4', 0, 0, '4*e + 8', '-6*e - 4', '4*e + 8', '-6*e - 4', '-2*e + 8', '-2*e + 8', '-2*e - 16', '-2*e - 16', 0, 0, 0, 0, '3*e - 16', '3*e - 16', '4*e - 16', '4*e - 16', 0, 0, 0, 0, '-2*e - 4', '-8*e + 2', '-2*e - 4', '-8*e + 2', 0, 0, 0, 0, '-8*e - 4', 0, 0, '-6*e + 8', '-6*e + 8', 0, 0, 0, 0, 0, 0, 0, 0, 'e - 16', 'e - 16', '-2*e + 32', '-2*e + 32', 0, 0, '3*e + 32', '3*e + 32', '4*e + 8', '4*e + 8', 0, 0, 0, 0, '-2*e - 16', '-2*e - 16', '-6*e + 8', '-6*e + 8', 0, 0, 0, 0, '12*e + 2', '4*e - 34', '4*e - 34', '12*e + 2', 0, 0, '-8*e - 4', '-8*e - 4', 50, '9*e - 16', '9*e - 16', '12*e - 4', '12*e - 4', '-8*e - 16', '-2*e + 44', '-8*e - 16', '-2*e + 44', 0, 0, '9*e + 8', '9*e + 8', 0, 0, '-8*e - 22', '-8*e - 22', '4*e + 32', '4*e + 32', '12*e + 8', '12*e + 8', 0, 0, 0, 0, '-6*e - 4', '-6*e - 4', 0, 0, 0, 0, 0, 0, '-11*e - 16', '-11*e - 16', 0, 0, 0, 0, '12*e - 16', '16*e + 2', '12*e - 16', '16*e + 2', '12*e - 4', 0, 0, '3*e + 32', '3*e + 32', '16*e - 4', '16*e - 4', 0, 0, 0, 0, '-11*e + 8', '-11*e + 8', 0, 0, 0, 0, 62, '3*e - 16', '3*e - 16'], 'hecke_polynomial': 'x^2 - 12', 'label': '4.4.13068.1-1.1-b'}
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hmf_fields • Show schema
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{'degree': 4, 'discriminant': 13068, 'ideals': ['[1, 1, 1]', '[2, 2, w^3 - w^2 - 6*w - 2]', '[3, 3, -w^3 + 2*w^2 + 4*w - 2]', '[4, 2, w^3 - 2*w^2 - 3*w]', '[4, 2, w^3 - w^2 - 5*w - 2]', '[6, 6, -w^3 + w^2 + 6*w]', '[8, 2, w^3 - 2*w^2 - 4*w + 3]', '[8, 4, w^3 - w^2 - 5*w + 1]', '[9, 3, -w^2 + 2*w + 2]', '[12, 6, -2*w^3 + 3*w^2 + 11*w - 3]', '[12, 6, -w^3 + w^2 + 5*w + 1]', '[16, 2, 2]', '[16, 4, -w^2 + 3]', '[16, 4, 3*w^3 - 5*w^2 - 15*w + 6]', '[17, 17, -w^3 + w^2 + 6*w - 1]', '[17, 17, -w + 2]', '[18, 6, -w^2 - w + 2]', '[24, 6, w^3 - 8*w - 5]', '[24, 12, 2*w^3 - w^2 - 12*w - 7]', '[27, 3, w^3 - 6*w - 4]', '[29, 29, -w^3 + 2*w^2 + 4*w - 4]', '[29, 29, w^3 - 2*w^2 - 4*w]', '[31, 31, -w^2 + 2]', '[31, 31, -w^3 + 7*w + 5]', '[32, 4, w^3 - 8*w - 3]', '[32, 4, 2*w^3 - 2*w^2 - 12*w - 4]', '[32, 8, w^3 - 2*w^2 - 3*w + 2]', '[34, 34, -w^2 + w + 2]', '[34, 34, w^2 - w - 4]', '[36, 6, w^3 - w^2 - 7*w + 1]', '[36, 6, w^3 - w^2 - 7*w - 2]', '[41, 41, -2*w^3 + 2*w^2 + 13*w - 2]', '[41, 41, 3*w^3 - 4*w^2 - 17*w + 5]', '[48, 6, -2*w^3 + 4*w^2 + 8*w - 4]', '[48, 12, -2*w^3 + 3*w^2 + 10*w - 5]', '[48, 12, w^2 - w - 3]', '[51, 51, w^3 - 7*w - 3]', '[51, 51, w^2 - 4]', '[54, 6, -2*w^3 + 3*w^2 + 9*w + 2]', '[58, 58, -w - 3]', '[58, 58, -w^3 + w^2 + 6*w + 4]', '[62, 62, 2*w^3 - 4*w^2 - 7*w + 1]', '[62, 62, 3*w^3 - 5*w^2 - 14*w + 6]', '[64, 4, 2*w^3 - 4*w^2 - 6*w]', '[64, 4, 2*w^3 - 2*w^2 - 10*w - 4]', '[64, 8, w^3 - w^2 - 7*w - 1]', '[64, 8, w^3 - w^2 - 7*w]', '[67, 67, 3*w^3 - 4*w^2 - 17*w + 1]', '[67, 67, -w^2 + 4*w + 2]', '[68, 34, w^3 - 5*w - 4]', '[68, 34, w^2 - 3*w - 3]', '[68, 34, 2*w^3 - 3*w^2 - 11*w + 1]', '[68, 34, 2*w^3 - w^2 - 12*w - 5]', '[72, 6, 3*w^3 - 4*w^2 - 16*w + 5]', '[72, 12, -w^2 + 2*w + 5]', '[81, 3, 3]', '[82, 82, -2*w^3 + 3*w^2 + 9*w]', '[82, 82, 2*w^3 - 3*w^2 - 9*w + 2]', '[83, 83, 2*w^2 - 5*w - 2]', '[83, 83, -w^3 + 8*w + 6]', '[83, 83, w^3 - 2*w^2 - 2*w - 2]', '[83, 83, w^3 - 2*w^2 - 6*w]', '[87, 87, -2*w^3 + w^2 + 14*w + 8]', '[87, 87, -w^3 + 2*w^2 + 7*w + 1]', '[93, 93, -w^3 + w^2 + 6*w - 3]', '[93, 93, w - 4]', '[96, 12, -3*w^3 + 2*w^2 + 18*w + 7]', '[96, 12, -2*w^3 + 2*w^2 + 12*w]', '[96, 24, -3*w^3 + 3*w^2 + 17*w + 7]', '[97, 97, -3*w^3 + 2*w^2 + 17*w + 7]', '[97, 97, w^3 - 4*w^2 + 3*w + 1]', '[97, 97, -5*w^3 + 8*w^2 + 24*w - 8]', '[97, 97, 2*w^3 - 2*w^2 - 13*w - 4]', '[101, 101, -w^3 + 6*w + 6]', '[101, 101, -w^3 + 6*w + 2]', '[102, 102, 2*w^3 - 3*w^2 - 11*w + 6]', '[102, 102, -w^2 + 3*w - 2]', '[103, 103, -4*w^3 + 3*w^2 + 26*w + 12]', '[103, 103, -w^3 + 2*w^2 + 9*w + 3]', '[107, 107, 2*w^3 - 2*w^2 - 11*w]', '[107, 107, -w^3 + 2*w^2 + 3*w - 3]', '[107, 107, w^3 - w^2 - 4*w - 3]', '[107, 107, 2*w^3 - 3*w^2 - 10*w]', '[108, 6, -2*w^3 + 3*w^2 + 12*w - 1]', '[108, 6, -2*w^3 + 3*w^2 + 9*w - 1]', '[116, 58, -2*w^3 + w^2 + 13*w + 5]', '[116, 58, -w^3 + 9*w]', '[116, 58, 2*w^3 - 3*w^2 - 12*w + 5]', '[116, 58, -w^2 - w + 3]', '[121, 11, -2*w^3 + 3*w^2 + 8*w + 2]', '[123, 123, 2*w^3 - 16*w - 7]', '[123, 123, -w^3 + 8*w + 2]', '[124, 62, 3*w^3 - 5*w^2 - 13*w + 4]', '[124, 62, -w^3 + w^2 + 5*w + 5]', '[124, 62, 3*w^3 - 5*w^2 - 13*w + 2]', '[124, 62, w^3 - w^2 - 5*w + 3]', '[128, 4, 2*w^3 - 4*w^2 - 8*w + 6]', '[128, 8, -w^3 + 8*w + 7]', '[128, 8, 2*w^3 - 2*w^2 - 10*w + 2]', '[128, 16, -2*w^3 + w^2 + 14*w + 9]', '[134, 134, -2*w^3 + 15*w + 15]', '[134, 134, -w^3 + w^2 + 8*w - 4]', '[136, 34, -3*w^3 + 2*w^2 + 20*w + 9]', '[136, 34, w^3 - 2*w^2 - 8*w - 1]', '[136, 68, 2*w^3 - 3*w^2 - 12*w + 3]', '[136, 68, -w^3 + 9*w + 2]', '[144, 6, -2*w^2 + 4*w + 4]', '[144, 12, w^3 - w^2 - 7*w + 4]', '[144, 12, -w^3 + w^2 + 7*w + 5]', '[149, 149, -3*w^3 + 5*w^2 + 14*w - 3]', '[149, 149, -2*w^3 + 4*w^2 + 7*w - 4]', '[153, 51, -2*w^3 + 4*w^2 + 7*w]', '[153, 51, 3*w^3 - 5*w^2 - 14*w + 7]', '[157, 157, 2*w^3 - 2*w^2 - 10*w - 1]', '[157, 157, 2*w^3 - 3*w^2 - 8*w + 2]', '[157, 157, 2*w^3 - 2*w^2 - 10*w - 3]', '[157, 157, -3*w^3 + 4*w^2 + 15*w + 1]', '[162, 6, 3*w^3 - 3*w^2 - 18*w - 6]', '[163, 163, -2*w^2 + 4*w + 5]', '[163, 163, 2*w^3 - 4*w^2 - 10*w + 5]', '[164, 82, 2*w^3 - w^2 - 12*w - 9]', '[164, 82, 3*w^2 - 7*w - 7]', '[164, 82, w^3 - 3*w^2 - w + 4]', '[164, 82, -w^2 + 5]', '[166, 166, 4*w^3 - 7*w^2 - 15*w - 2]', '[166, 166, 2*w^3 - 2*w^2 - 9*w + 1]', '[166, 166, -w^3 + 3*w^2 + 6*w - 4]', '[166, 166, 2*w^3 - 5*w^2 - 5*w + 4]', '[169, 13, 2*w^3 - 3*w^2 - 12*w + 2]', '[169, 13, -w^3 + 9*w + 3]', '[173, 173, 3*w^3 - 2*w^2 - 17*w - 9]', '[173, 173, -2*w^3 + 14*w + 7]', '[174, 174, 2*w^3 - 4*w^2 - 9*w + 5]', '[174, 174, -w^3 + 3*w^2 + 2*w - 4]', '[186, 186, -2*w^3 + 3*w^2 + 11*w]', '[186, 186, w^2 - 3*w - 4]', '[192, 12, -4*w^3 + 6*w^2 + 22*w - 6]', '[192, 12, -2*w^3 + 2*w^2 + 10*w + 2]', '[192, 24, -2*w^3 + w^2 + 15*w + 7]', '[192, 24, -3*w^3 + 5*w^2 + 13*w - 3]', '[194, 194, w^3 + w^2 - 10*w - 8]', '[194, 194, -2*w^3 + 4*w^2 + 11*w - 3]', '[194, 194, -2*w^3 + 2*w^2 + 11*w - 3]', '[194, 194, -w^3 + w^2 + 4*w + 6]', '[197, 197, 2*w^3 - 2*w^2 - 12*w + 1]', '[197, 197, 3*w^3 - 3*w^2 - 18*w - 1]', '[199, 199, 3*w^3 - 4*w^2 - 18*w + 8]', '[199, 199, 4*w^3 - 5*w^2 - 24*w + 6]', '[201, 201, -8*w^3 + 12*w^2 + 41*w - 12]', '[201, 201, 4*w^3 - 6*w^2 - 19*w + 6]', '[202, 202, 2*w^3 - w^2 - 15*w - 2]', '[202, 202, 2*w^3 - 5*w^2 - 3*w - 2]', '[204, 102, w^3 - 2*w^2 - 3*w + 4]', '[204, 102, -w^3 + 3*w^2 - w + 2]', '[204, 102, -2*w^3 + 3*w^2 + 10*w + 1]', '[204, 102, -5*w^3 + 7*w^2 + 27*w - 8]', '[206, 206, w^3 - w^2 - 4*w - 4]', '[206, 206, 4*w^3 - 4*w^2 - 21*w - 11]', '[214, 214, -2*w^3 + 13*w + 11]', '[214, 214, -2*w^3 + 2*w^2 + 13*w + 3]', '[214, 214, -2*w^3 + w^2 + 13*w + 10]', '[214, 214, -4*w^3 + 3*w^2 + 23*w + 10]', '[216, 6, w^3 - 6*w - 7]', '[216, 12, -2*w^3 + 3*w^2 + 12*w - 7]', '[223, 223, w^3 - 2*w^2 - 3*w - 3]', '[223, 223, 2*w^3 - 3*w^2 - 10*w + 6]', '[227, 227, -w^3 + 2*w^2 + 6*w - 8]', '[227, 227, 3*w + 4]', '[227, 227, 3*w^3 - 3*w^2 - 18*w - 7]', '[227, 227, -2*w^3 + 3*w^2 + 12*w - 6]', '[229, 229, -w - 4]', '[229, 229, w^2 - 2*w + 2]', '[229, 229, -w^3 + w^2 + 6*w + 5]', '[229, 229, -w^3 + 2*w^2 + 5*w - 7]', '[232, 58, -3*w^3 + 4*w^2 + 18*w - 5]', '[232, 58, w^3 - 10*w + 1]', '[232, 116, -2*w^3 + 3*w^2 + 8*w + 1]', '[232, 116, 3*w^3 - 4*w^2 - 15*w + 2]', '[233, 233, -2*w^3 + 3*w^2 + 8*w - 4]', '[233, 233, -3*w^3 + 4*w^2 + 15*w + 3]', '[242, 22, 4*w^3 - 3*w^2 - 23*w - 12]', '[243, 9, -3*w^3 + 6*w^2 + 12*w - 6]', '[246, 246, 2*w^3 - w^2 - 17*w + 4]', '[246, 246, -4*w^3 + 5*w^2 + 25*w - 8]', '[248, 62, w^3 - 2*w^2 - 6*w + 5]', '[248, 62, w^3 - 8*w - 1]', '[248, 124, -w^3 + 9*w + 6]', '[248, 124, 2*w^3 - 3*w^2 - 12*w - 1]', '[249, 249, -2*w^3 + w^2 + 12*w + 4]', '[249, 249, 2*w - 5]', '[249, 249, -2*w^3 + 2*w^2 + 12*w - 3]', '[249, 249, -w^3 + 5*w + 5]', '[256, 4, 4]', '[256, 8, -2*w^2 + 6]', '[256, 8, 6*w^3 - 10*w^2 - 30*w + 12]', '[256, 16, 4*w^3 - 7*w^2 - 20*w + 9]', '[256, 16, w^3 - 3*w^2 - 5*w + 6]', '[261, 87, w^3 - w^2 - 4*w - 5]', '[261, 87, 2*w^3 - 2*w^2 - 11*w + 2]', '[268, 134, w^3 - 3*w^2 - 3*w + 7]', '[268, 134, -3*w^3 + w^2 + 19*w + 12]', '[268, 134, -w^3 + 3*w^2 + 3*w - 3]', '[268, 134, -5*w^3 + 7*w^2 + 27*w - 10]', '[272, 34, -2*w^3 + 2*w^2 + 12*w - 2]', '[272, 34, -2*w + 4]', '[272, 68, -2*w^3 + 3*w^2 + 10*w + 3]', '[272, 68, -2*w^3 + w^2 + 11*w + 3]', '[272, 68, w^3 - 2*w^2 - 3*w + 6]', '[272, 68, -2*w^3 + w^2 + 11*w + 7]', '[279, 93, 3*w^3 - 2*w^2 - 20*w - 8]', '[279, 93, w^3 - 2*w^2 - 8*w]', '[281, 281, -2*w^3 + 3*w^2 + 10*w + 2]', '[281, 281, -w^3 + 2*w^2 + 3*w - 5]', '[288, 12, 3*w^3 - 4*w^2 - 16*w - 1]', '[288, 12, -2*w^2 - 2*w + 4]', '[288, 24, w^3 + w^2 - 11*w - 3]', '[289, 17, -2*w^3 + 2*w^2 + 14*w + 5]', '[289, 17, -2*w^3 + 2*w^2 + 14*w - 3]', '[289, 289, 3*w^3 - 4*w^2 - 17*w + 7]', '[289, 289, w^2 - 4*w + 4]', '[291, 291, 2*w^3 - 2*w^2 - 13*w - 2]', '[291, 291, w^3 - w^2 - 8*w - 1]', '[291, 291, -3*w^3 + 4*w^2 + 15*w - 1]', '[291, 291, 2*w^3 - 3*w^2 - 8*w]', '[293, 293, w^2 - 6]', '[293, 293, w^3 - 7*w - 1]', '[298, 298, w^2 - w - 8]', '[298, 298, -2*w^3 + 2*w^2 + 13*w + 1]', '[303, 303, -2*w^3 + 4*w^2 + 8*w - 7]', '[303, 303, 2*w^3 - 4*w^2 - 8*w + 1]', '[306, 102, w^3 - w^2 - 4*w + 4]', '[306, 102, 2*w^3 - 2*w^2 - 11*w - 7]', '[309, 309, 2*w^3 - 2*w^2 - 9*w]', '[309, 309, 3*w^3 - 3*w^2 - 16*w - 5]', '[314, 314, -3*w^3 + w^2 + 18*w + 12]', '[314, 314, -5*w^3 + 3*w^2 + 30*w + 16]', '[314, 314, -w^2 - w + 4]', '[314, 314, 4*w^3 - 2*w^2 - 25*w - 17]', '[321, 321, 2*w^3 - 5*w^2 - 4*w + 4]', '[321, 321, -3*w^3 + 3*w^2 + 20*w - 5]', '[321, 321, -5*w^3 + 8*w^2 + 25*w - 7]', '[321, 321, 2*w^3 - 2*w^2 - 15*w + 6]', '[324, 6, 3*w^3 - 6*w^2 - 9*w]', '[324, 6, 3*w^3 - 3*w^2 - 15*w - 6]', '[326, 326, 5*w^3 - 3*w^2 - 32*w - 14]', '[326, 326, 3*w^3 - 3*w^2 - 16*w]', '[328, 82, 3*w^3 - 4*w^2 - 14*w - 7]', '[328, 82, -w^3 + 2*w^2 + 4*w + 3]', '[328, 164, 3*w^3 - 8*w^2 - 3*w - 2]', '[328, 164, -w^3 + 4*w^2 - 3*w + 2]', '[331, 331, -6*w^3 + 10*w^2 + 27*w - 6]', '[331, 331, 2*w^3 - 2*w^2 - 12*w - 7]', '[332, 166, 3*w^3 - 6*w^2 - 11*w + 6]', '[332, 166, -w^2 + 3*w + 5]', '[332, 166, 4*w^3 - 7*w^2 - 17*w + 3]', '[332, 166, 4*w^3 - 5*w^2 - 22*w + 3]', '[332, 166, -4*w^3 + 7*w^2 + 18*w - 5]', '[332, 166, -2*w^3 + 3*w^2 + 11*w + 1]', '[332, 166, 4*w^3 - 7*w^2 - 22*w + 9]', '[332, 166, 4*w^3 - 7*w^2 - 17*w + 7]', '[338, 26, -w^2 + 3*w + 8]', '[338, 26, 4*w^3 - 2*w^2 - 27*w - 15]', '[346, 346, -4*w^3 + 5*w^2 + 23*w - 2]', '[346, 346, w - 5]', '[347, 347, 3*w^3 - 2*w^2 - 18*w - 6]', '[347, 347, -4*w^3 + 2*w^2 + 23*w + 10]', '[347, 347, 2*w^3 - 6*w^2 - w + 4]', '[347, 347, -4*w^3 + 3*w^2 + 24*w + 8]', '[348, 174, 3*w^3 - 3*w^2 - 17*w - 1]', '[348, 174, 3*w^3 - 5*w^2 - 13*w]', '[348, 174, -3*w^3 + 5*w^2 + 13*w - 6]', '[348, 174, w^3 - w^2 - 3*w - 3]', '[359, 359, -3*w^3 + 4*w^2 + 17*w + 1]', '[359, 359, w^2 - 4*w - 4]', '[359, 359, w^3 - 8*w]', '[359, 359, -w^3 + 2*w^2 + 6*w - 6]', '[363, 33, -w^3 + 5*w^2 - 6*w - 1]', '[367, 367, 2*w^2 - 3*w - 4]', '[367, 367, -w^3 + 3*w^2 + 4*w - 7]', '[369, 123, -6*w^3 + 10*w^2 + 28*w - 11]', '[369, 123, 9*w^3 - 14*w^2 - 44*w + 16]', '[372, 186, -w^3 + 2*w^2 + 9*w + 2]', '[372, 186, w^3 + w^2 - 9*w - 8]', '[372, 186, -w^3 + 3*w^2 + 5*w - 4]', '[372, 186, -4*w^3 + 3*w^2 + 26*w + 11]', '[379, 379, 3*w^3 - 3*w^2 - 16*w - 3]', '[379, 379, 2*w^3 - 2*w^2 - 9*w - 2]', '[384, 12, 2*w^3 - 16*w - 10]', '[384, 24, -w^3 + 2*w^2 + 6*w - 7]', '[384, 24, 4*w^3 - 2*w^2 - 24*w - 14]', '[384, 48, -w^3 + 7*w]', '[388, 194, -w^3 + 3*w^2 + 3*w - 6]', '[388, 194, -w^3 + 2*w^2 + 3*w - 8]', '[388, 194, -w^3 + w^2 + 3*w - 5]', '[388, 194, -w^3 + 3*w^2 + 3*w - 4]', '[388, 194, -w^2 + 3*w - 3]', '[388, 194, -w^3 + 3*w^2 + 5*w - 5]', '[388, 194, 2*w^3 - 3*w^2 - 11*w + 7]', '[388, 194, 3*w^3 - 6*w^2 - 15*w + 10]', '[394, 394, 2*w^3 - 2*w^2 - 9*w - 1]', '[394, 394, 3*w^3 - 3*w^2 - 16*w - 4]', '[398, 398, 2*w^3 - 4*w^2 - 7*w + 5]', '[398, 398, 3*w^3 - 5*w^2 - 14*w + 2]', '[402, 402, -4*w^3 + 8*w^2 + 19*w - 17]', '[402, 402, -2*w^3 + 3*w^2 + 7*w + 4]', '[404, 202, 4*w^3 - 5*w^2 - 23*w + 5]', '[404, 202, 6*w^3 - 9*w^2 - 32*w + 7]', '[404, 202, -w^2 + 5*w - 3]', '[404, 202, -2*w^3 + 3*w^2 + 8*w - 5]', '[408, 102, 3*w^3 - 4*w^2 - 14*w - 3]', '[408, 102, -3*w^3 + 4*w^2 + 14*w - 3]', '[408, 204, 3*w^3 - 3*w^2 - 19*w - 5]', '[408, 204, -w^3 + w^2 + 9*w + 3]', '[412, 206, w^3 + w^2 - 7*w - 9]', '[412, 206, w^3 - w^2 - 5*w - 6]', '[412, 206, -w^3 + w^2 + 5*w - 4]', '[412, 206, -w^3 + 4*w^2 + 7*w - 6]', '[428, 214, w^3 - 3*w^2 - w + 5]', '[428, 214, -2*w^3 + w^2 + 15*w + 9]', '[428, 214, -w^3 - 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6*w + 5]', '[676, 26, -w^3 - w^2 + 7*w + 6]', '[676, 26, -3*w^3 + 11*w^2 - 3*w - 7]', '[676, 26, 3*w^3 + w^2 - 25*w - 14]', '[677, 677, -9*w^3 + 12*w^2 + 50*w - 10]', '[677, 677, 3*w^3 - 4*w^2 - 17*w - 7]', '[681, 681, -w^3 + 2*w^2 + 7*w - 5]', '[681, 681, -6*w^3 + 5*w^2 + 34*w + 18]', '[681, 681, -2*w^3 + w^2 + 14*w + 2]', '[681, 681, -2*w^3 + 2*w^2 + 9*w + 6]', '[687, 687, 3*w^3 - 6*w^2 - 13*w + 7]', '[687, 687, -4*w^3 + 2*w^2 + 28*w + 13]', '[687, 687, -2*w^3 + 5*w^2 + 6*w - 6]', '[687, 687, -5*w^3 + 4*w^2 + 30*w + 16]', '[691, 691, 3*w^3 - 2*w^2 - 21*w - 9]', '[691, 691, 2*w^3 - 3*w^2 - 14*w - 2]', '[692, 346, -3*w^3 + 4*w^2 + 17*w + 2]', '[692, 346, -9*w^3 + 13*w^2 + 47*w - 14]', '[692, 346, -3*w^3 + 5*w^2 + 17*w - 8]', '[692, 346, w^2 - 4*w - 5]', '[694, 694, 4*w^3 - 2*w^2 - 21*w - 9]', '[694, 694, 3*w^3 - 3*w^2 - 16*w - 10]', '[694, 694, -5*w^3 + 3*w^2 + 28*w + 12]', '[694, 694, 2*w^3 - 2*w^2 - 9*w + 5]', '[696, 174, w^3 - 10*w - 3]', '[696, 174, -3*w^3 + 4*w^2 + 18*w - 1]', '[696, 348, 3*w^3 - 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6]', '[816, 204, -5*w^3 + 8*w^2 + 27*w - 12]', '[821, 821, -w^3 + 3*w^2 + 2*w - 9]', '[821, 821, 2*w^2 - 4*w - 9]', '[823, 823, w^3 - 6*w^2 + 9*w + 1]', '[823, 823, -3*w^3 + 2*w^2 + 15*w + 5]', '[824, 206, -7*w^3 + 6*w^2 + 42*w + 17]', '[824, 206, -3*w^3 + 4*w^2 + 18*w + 3]', '[824, 412, -5*w^3 + 8*w^2 + 25*w - 6]', '[824, 412, -5*w^3 + 7*w^2 + 25*w + 1]', '[827, 827, 3*w^3 - 3*w^2 - 18*w + 1]', '[827, 827, 2*w^3 - 16*w - 11]', '[827, 827, 3*w^3 - 24*w - 14]', '[827, 827, 3*w - 4]', '[829, 829, w^2 - 6*w - 2]', '[829, 829, 2*w^3 - 2*w^2 - 10*w - 9]', '[829, 829, 5*w^3 - 6*w^2 - 29*w - 1]', '[829, 829, w^3 + 2*w^2 - 14*w - 6]', '[837, 93, -4*w^3 + 6*w^2 + 18*w + 1]', '[837, 93, -4*w^3 + 6*w^2 + 18*w - 5]', '[841, 29, -2*w^3 + 2*w^2 + 14*w + 3]', '[841, 29, -2*w^3 + 2*w^2 + 14*w - 1]', '[841, 841, 4*w^3 - 6*w^2 - 23*w + 6]', '[841, 841, w^3 + w^2 - 12*w - 3]', '[843, 843, 4*w^3 - 6*w^2 - 23*w + 10]', '[843, 843, w^3 + w^2 - 12*w + 1]', '[856, 214, 7*w^3 - 10*w^2 - 36*w + 7]', '[856, 214, -3*w^3 + 4*w^2 + 18*w - 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16]', '[887, 887, -w^3 + 4*w^2 - 10]', '[887, 887, 4*w^3 - 2*w^2 - 26*w - 11]', '[887, 887, 2*w^3 - 8*w^2 + 4*w + 7]', '[892, 446, -5*w^3 + 7*w^2 + 21*w + 8]', '[892, 446, -7*w^3 + 17*w^2 + 13*w - 1]', '[892, 446, 3*w^3 - 3*w^2 - 15*w - 4]', '[892, 446, 4*w^3 - 7*w^2 - 16*w + 3]', '[894, 894, 6*w^3 - 11*w^2 - 27*w + 14]', '[894, 894, 6*w^3 - 10*w^2 - 27*w + 7]', '[899, 899, 2*w^3 - 15*w - 6]', '[899, 899, -w^3 + 5*w + 7]', '[899, 899, -2*w^3 + w^2 + 12*w + 2]', '[899, 899, -w^3 + 3*w^2 + 6*w - 7]', '[907, 907, 6*w^3 - 8*w^2 - 34*w + 7]', '[907, 907, -w^3 + w^2 + 8*w - 7]', '[908, 454, -6*w^3 + 7*w^2 + 31*w + 11]', '[908, 454, -7*w^3 + 5*w^2 + 43*w + 17]', '[908, 454, 4*w^3 - 7*w^2 - 19*w + 5]', '[908, 454, 5*w^3 - 6*w^2 - 25*w + 6]', '[908, 454, 2*w^3 - 5*w^2 - 5*w + 7]', '[908, 454, w^3 - 3*w^2 - 5*w + 9]', '[908, 454, -3*w^3 + 2*w^2 + 17*w + 4]', '[908, 454, -3*w^3 + 5*w^2 + 13*w + 2]', '[909, 303, 7*w^3 - 10*w^2 - 40*w + 16]', '[909, 303, -w^3 - 2*w^2 + 16*w - 4]', '[916, 458, -3*w^3 + 5*w^2 + 11*w + 1]', '[916, 458, -4*w^3 + 3*w^2 + 21*w + 9]', '[916, 458, -2*w^3 - w^2 + 17*w + 11]', '[916, 458, -4*w^3 + 3*w^2 + 26*w + 15]', '[916, 458, 6*w^3 - 5*w^2 - 33*w - 15]', '[916, 458, 4*w^3 - 7*w^2 - 14*w - 3]', '[916, 458, -5*w^3 + 5*w^2 + 27*w + 10]', '[916, 458, -6*w^3 + 5*w^2 + 38*w + 15]', '[918, 102, -5*w^3 + 9*w^2 + 24*w - 10]', '[918, 102, 2*w^3 - 6*w^2 - 3*w + 7]', '[922, 922, -2*w^3 - w^2 + 17*w + 12]', '[922, 922, 2*w^3 - 5*w^2 - 11*w + 6]', '[926, 926, -5*w^3 + 9*w^2 + 18*w + 4]', '[926, 926, 4*w^3 - 6*w^2 - 19*w - 1]', '[927, 309, -2*w^3 + w^2 + 16*w]', '[927, 309, -3*w^3 + 4*w^2 + 19*w - 5]', '[928, 116, -2*w - 6]', '[928, 116, -w^3 + 4*w^2 - 5]', '[928, 116, 3*w^3 - 6*w^2 - 14*w + 9]', '[928, 116, -2*w^3 + 2*w^2 + 12*w + 8]', '[928, 232, -3*w^3 + 4*w^2 + 17*w - 8]', '[928, 232, w^2 - 4*w + 5]', '[932, 466, -3*w^2 + 8*w - 1]', '[932, 466, -w^3 - w^2 + 7*w + 2]', '[932, 466, 5*w^3 - 11*w^2 - 11*w - 5]', '[932, 466, 7*w^3 - 7*w^2 - 37*w - 18]', '[941, 941, 2*w^3 - 2*w^2 - 8*w - 5]', '[941, 941, -3*w^3 + 23*w + 11]', '[942, 942, 2*w^3 - 6*w^2 - 5*w + 15]', '[942, 942, -4*w^3 + 7*w^2 + 17*w - 8]', '[942, 942, -w^3 + 3*w^2 + 2*w - 10]', '[942, 942, w^3 + w^2 - 10*w - 10]', '[953, 953, 2*w^3 - 10*w - 3]', '[953, 953, -4*w^3 + 2*w^2 + 24*w + 15]', '[961, 31, -2*w^3 + 2*w^2 + 14*w + 9]', '[961, 31, -2*w^3 + 2*w^2 + 14*w - 7]', '[961, 961, 5*w^3 - 9*w^2 - 20*w + 5]', '[961, 961, 6*w^3 - 10*w^2 - 27*w + 8]', '[963, 321, 3*w^3 - 4*w^2 - 16*w - 4]', '[963, 321, 2*w^3 - 4*w^2 - 4*w - 3]', '[963, 321, 4*w^2 - 11*w - 8]', '[963, 321, w^3 + 2*w^2 - 13*w - 5]', '[968, 22, -w^3 - 2*w^2 + 14*w + 3]', '[968, 44, -w^3 + 2*w^2 + w - 4]', '[972, 18, -6*w^3 + 9*w^2 + 33*w - 9]', '[972, 18, -3*w^3 + 3*w^2 + 15*w + 3]', '[974, 974, -4*w^3 + 6*w^2 + 23*w - 11]', '[974, 974, 2*w^3 - 3*w^2 - 13*w + 10]', '[978, 978, -5*w^3 + 7*w^2 + 24*w + 4]', '[978, 978, -7*w^3 + 11*w^2 + 36*w - 10]', '[982, 982, 4*w^3 - 4*w^2 - 21*w - 13]', '[982, 982, 4*w^3 - 4*w^2 - 25*w - 1]', '[982, 982, 3*w^3 - 3*w^2 - 14*w + 6]', '[982, 982, 2*w^3 - 3*w^2 - 11*w + 8]', '[984, 246, 7*w^3 - 12*w^2 - 34*w + 15]', '[984, 246, -11*w^3 + 18*w^2 + 56*w - 21]', '[984, 492, -w^3 + w^2 + 5*w + 7]', '[984, 492, -w^3 + w^2 + 5*w - 5]', '[986, 986, 3*w^3 - 3*w^2 - 16*w + 2]', '[986, 986, w^2 + w - 6]', '[986, 986, -2*w^3 + w^2 + 13*w + 2]', '[986, 986, -2*w^3 + 2*w^2 + 9*w + 7]', '[991, 991, -3*w^3 + 4*w^2 + 13*w + 3]', '[991, 991, 4*w^3 - 5*w^2 - 20*w + 2]', '[992, 124, 4*w^3 - 8*w^2 - 14*w + 2]', '[992, 124, 6*w^3 - 10*w^2 - 28*w + 12]', '[992, 124, 3*w^3 - 4*w^2 - 16*w - 5]', '[992, 124, w^3 - 2*w^2 - 2*w + 7]', '[992, 248, 3*w^3 - 3*w^2 - 17*w + 1]', '[992, 248, -w^3 + w^2 + 3*w + 5]', '[993, 993, w^3 - 4*w^2 + 6]', '[993, 993, 6*w^3 - 8*w^2 - 28*w - 9]', '[996, 498, -3*w^3 + 5*w^2 + 13*w - 9]', '[996, 498, -w^3 + w^2 + 9*w - 6]', '[996, 498, -7*w^3 + 16*w^2 + 17*w - 2]', '[996, 498, -5*w^3 + 7*w^2 + 23*w + 8]', '[996, 498, -w^3 + 3*w^2 - w - 4]', '[996, 498, -5*w^3 + 12*w^2 + 11*w - 6]', '[996, 498, 5*w^3 - 8*w^2 - 27*w + 6]', '[996, 498, 3*w^3 - 3*w^2 - 19*w + 4]', '[998, 998, -3*w^3 + 5*w^2 + 16*w - 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7]', '[1819, 1819, 5*w^3 - 8*w^2 - 22*w + 2]', '[1819, 1819, 5*w^3 - 8*w^2 - 22*w + 6]', '[1819, 1819, -4*w^3 + 8*w^2 + 17*w - 10]', '[1819, 1819, 4*w^3 - 5*w^2 - 24*w + 2]', '[1819, 1819, -4*w^3 + 6*w^2 + 20*w - 11]', '[1819, 1819, 2*w^3 - 4*w^2 - 6*w - 5]', '[1819, 1819, w^3 - 11*w - 1]', '[1831, 1831, -3*w^3 + w^2 + 12*w + 3]', '[1831, 1831, 8*w^3 - 6*w^2 - 47*w - 20]', '[1832, 458, -3*w^3 + 6*w^2 + 12*w - 11]', '[1832, 458, -5*w^3 + 4*w^2 + 26*w + 13]', '[1832, 458, w^3 - 4*w^2 + 11]', '[1832, 458, -5*w^3 + 2*w^2 + 32*w + 15]', '[1832, 916, -w^3 - 2*w^2 + 13*w + 4]', '[1832, 916, -4*w^3 + 3*w^2 + 18*w - 3]', '[1832, 916, -3*w^3 + 6*w^2 + 7*w + 4]', '[1832, 916, 3*w^3 - 2*w^2 - 15*w]', '[1836, 102, -2*w^3 + 3*w^2 + 6*w + 5]', '[1836, 102, 5*w^3 - 9*w^2 - 21*w + 10]', '[1836, 102, -5*w^3 + 9*w^2 + 21*w - 4]', '[1836, 102, -5*w^3 + 6*w^2 + 27*w - 4]', '[1844, 922, 4*w^3 - 3*w^2 - 20*w - 1]', '[1844, 922, 3*w^3 - 5*w^2 - 15*w]', '[1844, 922, w^3 - 3*w^2 - w + 8]', '[1844, 922, -3*w^2 + 11]', '[1847, 1847, 6*w^3 - 11*w^2 - 26*w + 8]', '[1847, 1847, -5*w^3 + 3*w^2 + 28*w + 15]', '[1847, 1847, -11*w^3 + 16*w^2 + 56*w - 8]', '[1847, 1847, -4*w^3 + 2*w^2 + 21*w + 6]', '[1852, 926, -3*w^3 + 4*w^2 + 19*w]', '[1852, 926, -4*w^3 + 7*w^2 + 15*w - 1]', '[1852, 926, 6*w^3 - 9*w^2 - 29*w + 7]', '[1852, 926, 7*w^3 - 11*w^2 - 39*w + 9]', '[1854, 618, -2*w^3 + 4*w^2 + 7*w - 9]', '[1854, 618, 2*w^3 + w^2 - 17*w - 16]', '[1856, 116, -4*w^3 + 2*w^2 + 26*w + 10]', '[1856, 116, -2*w^3 + 18*w]', '[1856, 116, 4*w^3 - 6*w^2 - 24*w + 10]', '[1856, 116, -2*w^2 - 2*w + 6]', '[1856, 232, -6*w^3 + 9*w^2 + 31*w - 5]', '[1856, 232, -5*w^3 + 7*w^2 + 27*w - 1]', '[1856, 232, 2*w^3 - 5*w^2 - 3*w + 5]', '[1856, 232, w^3 - 3*w^2 + w + 5]', '[1857, 1857, -7*w^3 + 3*w^2 + 46*w + 27]', '[1857, 1857, 5*w^3 - 6*w^2 - 23*w - 9]', '[1864, 466, -7*w^3 + 10*w^2 + 38*w - 15]', '[1864, 466, -5*w^3 + 4*w^2 + 34*w + 1]', '[1864, 932, -7*w^3 + 8*w^2 + 31*w - 10]', '[1864, 932, -2*w^3 + 5*w^2 + 8*w - 9]', '[1873, 1873, 3*w^3 - 4*w^2 - 19*w + 3]', '[1873, 1873, 2*w^3 - w^2 - 16*w - 2]', '[1873, 1873, w^2 - 2*w - 10]', '[1873, 1873, w^3 - 2*w^2 - 5*w - 5]', '[1875, 15, 5*w^3 - 10*w^2 - 20*w + 10]', '[1877, 1877, w^3 - 2*w^2 - 7*w + 9]', '[1877, 1877, -2*w^3 + w^2 + 14*w - 2]', '[1879, 1879, 6*w^3 - 8*w^2 - 34*w + 5]', '[1879, 1879, -2*w^2 + 8*w + 1]', '[1882, 1882, -6*w^3 + 8*w^2 + 35*w - 9]', '[1882, 1882, -2*w^3 + 3*w^2 + 13*w - 12]', '[1884, 942, -w^3 + 5*w - 4]', '[1884, 942, -10*w^3 + 17*w^2 + 51*w - 19]', '[1884, 942, w^3 - w^2 - 9*w - 9]', '[1884, 942, -6*w^3 + 11*w^2 + 31*w - 15]', '[1884, 942, 3*w^3 - 3*w^2 - 19*w - 11]', '[1884, 942, -2*w^3 + 5*w^2 + 9*w - 9]', '[1884, 942, 10*w^3 - 17*w^2 - 49*w + 23]', '[1884, 942, -2*w^3 + w^2 + 12*w + 13]', '[1889, 1889, -4*w^3 + 3*w^2 + 26*w + 4]', '[1889, 1889, 5*w^3 - 6*w^2 - 28*w + 4]', '[1893, 1893, w^3 - 4*w^2 - 5*w + 5]', '[1893, 1893, -2*w^3 - w^2 + 16*w + 14]', '[1906, 1906, -3*w^3 + 7*w^2 + 6*w + 4]', '[1906, 1906, -2*w^3 + 5*w^2 + 3*w + 4]', '[1913, 1913, -4*w^3 + 2*w^2 + 28*w + 17]', '[1913, 1913, -3*w^3 + w^2 + 22*w + 17]', '[1922, 62, 4*w^3 - 7*w^2 - 23*w + 10]', '[1922, 62, -5*w^3 + 7*w^2 + 26*w]', '[1922, 1922, w^3 + w^2 - 10*w]', '[1922, 1922, 2*w^3 - 4*w^2 - 11*w + 11]', '[1926, 642, 3*w^3 - 7*w^2 - 22*w + 2]', '[1926, 642, -w^3 + 5*w^2 + 8*w - 6]', '[1926, 642, 4*w^3 - 4*w^2 - 19*w + 1]', '[1926, 642, -2*w^2 - 5*w - 5]', '[1929, 1929, -6*w^3 + 8*w^2 + 36*w - 11]', '[1929, 1929, 2*w^3 - 20*w + 3]', '[1936, 22, -4*w^3 + 6*w^2 + 16*w + 4]', '[1936, 44, -3*w^3 + 3*w^2 + 21*w - 4]', '[1936, 44, -3*w^3 + 3*w^2 + 21*w + 7]', '[1943, 1943, -14*w^3 + 20*w^2 + 75*w - 14]', '[1943, 1943, 2*w^3 - 4*w^2 - 7*w + 10]', '[1943, 1943, 3*w^3 - 5*w^2 - 14*w - 3]', '[1943, 1943, -2*w^3 + 2*w^2 + 5*w - 4]', '[1944, 18, 3*w^3 - 24*w - 15]', '[1944, 36, 6*w^3 - 3*w^2 - 36*w - 21]', '[1948, 974, w^3 - 4*w^2 - w + 8]', '[1948, 974, 10*w^3 - 15*w^2 - 53*w + 21]', '[1948, 974, -14*w^3 + 21*w^2 + 73*w - 27]', '[1948, 974, -2*w^3 + 5*w^2 + 8*w - 7]', '[1949, 1949, 4*w^3 - 30*w - 15]', '[1949, 1949, 3*w^3 - 2*w^2 - 15*w - 9]', '[1951, 1951, w^3 + 2*w^2 - 9*w - 7]', '[1951, 1951, -4*w^3 + 30*w + 17]', '[1956, 978, -3*w^3 + w^2 + 23*w + 9]', '[1956, 978, -6*w^3 + 9*w^2 + 29*w - 5]', '[1956, 978, -18*w^3 + 27*w^2 + 91*w - 31]', '[1956, 978, -3*w^3 + 5*w^2 + 19*w - 3]', '[1964, 982, -w^3 + 3*w^2 + w - 13]', '[1964, 982, w^2 + w - 9]', '[1964, 982, 8*w^3 - 11*w^2 - 43*w + 11]', '[1964, 982, 4*w^3 - 5*w^2 - 22*w - 5]', '[1964, 982, 2*w^3 - w^2 - 13*w + 1]', '[1964, 982, 3*w^3 - 6*w^2 - 19*w + 2]', '[1964, 982, 6*w^3 - 7*w^2 - 34*w - 5]', '[1964, 982, 3*w^3 - w^2 - 23*w - 4]', '[1968, 246, 4*w^3 - 32*w - 14]', '[1968, 246, -2*w^3 + 16*w + 4]', '[1968, 492, 7*w^3 - 11*w^2 - 33*w + 4]', '[1968, 492, 8*w^3 - 7*w^2 - 48*w - 19]', '[1968, 492, -4*w^3 + 5*w^2 + 24*w + 5]', '[1968, 492, -8*w^3 + 13*w^2 + 39*w - 11]', '[1972, 986, w^3 + 2*w^2 - 5*w - 6]', '[1972, 986, -3*w^3 + w^2 + 23*w + 8]', '[1972, 986, -3*w^3 + 5*w^2 + 19*w - 4]', '[1972, 986, 4*w^3 - w^2 - 26*w - 17]', '[1972, 986, -w^3 + w^2 + 5*w + 8]', '[1972, 986, -w^3 - 2*w^2 + 7*w + 12]', '[1972, 986, w^3 - w^2 - 5*w + 6]', '[1972, 986, -2*w^3 - w^2 + 14*w + 9]', '[1979, 1979, -6*w^3 + 6*w^2 + 39*w + 16]', '[1979, 1979, 2*w^3 - 4*w^2 - 12*w - 3]', '[1979, 1979, -3*w^3 + 3*w^2 + 24*w + 13]', '[1979, 1979, 2*w^3 - 16*w - 15]', '[1982, 1982, 6*w^3 - 4*w^2 - 35*w - 19]', '[1982, 1982, -2*w^3 - w^2 + 13*w + 16]', '[1983, 1983, 10*w^3 - 18*w^2 - 41*w + 10]', '[1983, 1983, 4*w^3 - 8*w^2 - 18*w + 13]', '[1983, 1983, 10*w^3 - 17*w^2 - 52*w + 20]', '[1983, 1983, -11*w^3 + 19*w^2 + 48*w - 17]', '[1984, 124, 6*w^3 - 10*w^2 - 26*w + 8]', '[1984, 124, -2*w^3 + 2*w^2 + 10*w + 10]', '[1984, 124, 6*w^3 - 10*w^2 - 26*w + 4]', '[1984, 124, 2*w^3 - 2*w^2 - 10*w + 6]', '[1984, 248, 3*w^3 - 3*w^2 - 13*w]', '[1984, 248, 3*w^3 - 2*w^2 - 13*w - 2]', '[1984, 248, 5*w^3 - 5*w^2 - 27*w - 8]', '[1984, 248, 6*w^3 - 5*w^2 - 34*w - 13]', '[1986, 1986, 5*w^3 - 3*w^2 - 32*w - 12]', '[1986, 1986, 10*w^3 - 19*w^2 - 39*w + 12]', '[1992, 498, -5*w^3 + 6*w^2 + 26*w + 3]', '[1992, 498, -7*w^3 + 14*w^2 + 28*w - 17]', '[1992, 498, -11*w^3 + 18*w^2 + 52*w - 17]', '[1992, 498, w^3 - 4*w^2 - 2*w + 11]', '[1992, 996, -7*w^3 + 9*w^2 + 35*w - 13]', '[1992, 996, -9*w^3 + 15*w^2 + 41*w - 11]', '[1992, 996, -5*w^3 + 7*w^2 + 29*w - 7]', '[1992, 996, 9*w^3 - 16*w^2 - 41*w + 18]', '[1996, 998, -3*w^3 + 5*w^2 + 9*w]', '[1996, 998, -7*w^3 + 16*w^2 + 17*w - 6]', '[1996, 998, 2*w^3 - 5*w^2 - 9*w + 7]', '[1996, 998, 3*w^3 - 3*w^2 - 11*w + 9]', '[1997, 1997, 5*w^3 - 7*w^2 - 24*w - 5]', '[1997, 1997, -8*w^3 + 12*w^2 + 42*w - 9]', '[2007, 669, -2*w^3 + 10*w^2 - 8*w - 9]', '[2007, 669, w^3 - 4*w^2 - w + 7]', '[2011, 2011, -7*w^3 + 5*w^2 + 40*w + 15]', '[2011, 2011, 4*w^3 - 9*w^2 - 8*w - 6]', '[2017, 2017, -w^3 + 3*w^2 + 12*w + 3]', '[2017, 2017, 2*w^3 - w^2 - 18*w + 4]', '[2017, 2017, 7*w^3 - 12*w^2 - 36*w + 24]', '[2017, 2017, -8*w^3 + 6*w^2 + 51*w + 22]', '[2028, 78, -2*w^3 - w^2 + 16*w + 11]', '[2028, 78, -w^3 + 4*w^2 + 5*w - 8]', '[2028, 78, 2*w^3 - 3*w^2 - 11*w + 9]', '[2028, 78, -14*w^3 + 21*w^2 + 71*w - 27]', '[2031, 2031, 8*w^3 - 5*w^2 - 52*w - 20]', '[2031, 2031, -4*w^2 + 9*w + 4]', '[2043, 681, -8*w^3 + 13*w^2 + 40*w - 12]', '[2043, 681, 8*w^3 - 14*w^2 - 35*w + 14]', '[2043, 681, 7*w^3 - 13*w^2 - 28*w + 7]', '[2043, 681, -8*w^3 + 14*w^2 + 41*w - 14]', '[2048, 8, 4*w^3 - 8*w^2 - 16*w + 12]', '[2048, 16, -2*w^3 + 16*w + 14]', '[2048, 16, 4*w^3 - 4*w^2 - 20*w + 4]', '[2048, 32, -3*w^3 + 4*w^2 + 12*w + 9]', '[2048, 32, -4*w^3 + 2*w^2 + 28*w + 18]', '[2048, 64, 2*w^3 - 5*w^2 - 6*w + 11]', '[2057, 187, 2*w^3 - 6*w^2 - w + 6]', '[2057, 187, -5*w^3 + 10*w^2 + 16*w + 2]', '[2061, 687, w^3 + 2*w^2 - 10*w - 8]', '[2061, 687, 4*w^3 - 8*w^2 - 20*w + 9]', '[2061, 687, -2*w^3 - 2*w^2 + 19*w + 12]', '[2061, 687, -7*w^3 + 10*w^2 + 34*w - 10]', '[2062, 2062, 6*w^3 - 7*w^2 - 27*w + 8]', '[2062, 2062, 6*w^3 - 9*w^2 - 29*w + 6]', '[2062, 2062, -8*w^3 + 5*w^2 + 53*w + 32]', '[2062, 2062, -2*w^3 + 5*w^2 + 9*w - 8]', '[2073, 2073, -4*w^3 + 6*w^2 + 17*w + 2]', '[2073, 2073, -5*w^3 + 7*w^2 + 24*w - 5]', '[2076, 1038, 5*w^3 - 6*w^2 - 29*w + 6]', '[2076, 1038, 4*w^3 - 3*w^2 - 23*w - 5]', '[2076, 1038, -2*w^3 + w^2 + 9*w + 7]', '[2076, 1038, w^2 - 6*w + 5]', '[2077, 2077, -2*w^3 + w^2 + 20*w - 6]', '[2077, 2077, 6*w^3 - 6*w^2 - 30*w + 1]', '[2077, 2077, -w^3 - 2*w^2 + 17*w - 3]', '[2077, 2077, 10*w^3 - 9*w^2 - 58*w - 16]', '[2078, 2078, 2*w^3 - 4*w^2 - 13*w + 7]', '[2078, 2078, 3*w^3 - w^2 - 22*w - 6]', '[2081, 2081, -4*w^3 + 2*w^2 + 29*w + 16]', '[2081, 2081, -4*w^3 + 6*w^2 + 24*w - 15]', '[2082, 2082, -2*w^3 + 2*w^2 + 15*w + 3]', '[2082, 2082, 3*w^3 - 3*w^2 - 20*w - 4]', '[2082, 2082, -6*w^3 + 4*w^2 + 39*w + 23]', '[2082, 2082, -6*w^3 + 5*w^2 + 39*w + 16]', '[2083, 2083, 3*w^3 - 4*w^2 - 19*w + 1]', '[2083, 2083, -2*w^3 + w^2 + 16*w + 4]', '[2088, 174, -5*w^3 + 10*w^2 + 16*w - 3]', '[2088, 174, 9*w^3 - 14*w^2 - 44*w + 13]', '[2088, 348, -3*w^3 + 4*w^2 + 19*w - 2]', '[2088, 348, 2*w^3 - w^2 - 16*w - 3]', '[2091, 2091, w^2 - 4*w + 6]', '[2091, 2091, -6*w^3 + 8*w^2 + 31*w - 12]', '[2091, 2091, 3*w^3 - 5*w^2 - 10*w - 9]', '[2091, 2091, 3*w^3 - 4*w^2 - 17*w + 9]', '[2097, 699, w^3 - 2*w^2 + w - 3]', '[2097, 699, -2*w^3 - 4*w^2 + 26*w + 13]', '[2103, 2103, 3*w^3 - 2*w^2 - 19*w - 3]', '[2103, 2103, -w^2 - 2*w + 6]', '[2108, 1054, -w^3 - w^2 + 3*w + 6]', '[2108, 1054, 2*w^3 - 3*w^2 - 14*w + 7]', '[2108, 1054, -3*w^3 + 2*w^2 + 21*w]', '[2108, 1054, -5*w^3 + 3*w^2 + 31*w + 12]', '[2108, 1054, 3*w^2 - w - 13]', '[2108, 1054, -8*w^3 + 13*w^2 + 42*w - 19]', '[2108, 1054, 2*w^3 + w^2 - 15*w - 7]', '[2108, 1054, -w^3 + 6*w^2 - 7*w - 2]', '[2111, 2111, 4*w^3 - 4*w^2 - 23*w]', '[2111, 2111, w^3 - w^2 - 2*w - 5]', '[2111, 2111, 5*w^3 - 8*w^2 - 27*w + 5]', '[2111, 2111, 3*w^2 - 8*w - 8]', '[2116, 46, -3*w^2 + 10*w + 1]', '[2116, 46, -2*w^3 + w^2 + 17*w + 7]', '[2116, 46, -4*w^3 + w^2 + 31*w + 15]', '[2116, 46, w^3 - 7*w^2 + 11*w + 5]', '[2127, 2127, 3*w^3 - 4*w^2 - 18*w + 10]', '[2127, 2127, 12*w^3 - 18*w^2 - 64*w + 25]', '[2127, 2127, -12*w^3 + 10*w^2 + 69*w + 32]', '[2127, 2127, w^3 - 10*w + 6]', '[2129, 2129, -6*w^3 + 9*w^2 + 34*w - 14]', '[2129, 2129, -4*w^3 + 5*w^2 + 26*w + 8]', '[2137, 2137, -3*w^3 + 4*w^2 + 24*w + 10]', '[2137, 2137, 7*w^3 - 8*w^2 - 44*w + 10]', '[2137, 2137, 3*w^3 - 21*w - 13]', '[2137, 2137, -5*w^3 + 9*w^2 + 18*w + 1]', '[2141, 2141, -5*w^3 + 2*w^2 + 28*w + 12]', '[2141, 2141, -3*w^3 + 9*w^2 + 2*w - 7]', '[2143, 2143, -2*w^3 + 4*w^2 + 17*w + 4]', '[2143, 2143, -7*w^3 + 5*w^2 + 46*w + 21]', '[2144, 268, -3*w^3 + 20*w + 21]', '[2144, 268, w^3 - 4*w - 7]', '[2144, 268, -4*w^3 + 30*w + 30]', '[2144, 268, -2*w^3 + 2*w^2 + 16*w - 8]', '[2144, 536, 7*w^3 - 11*w^2 - 37*w + 9]', '[2144, 536, -3*w^3 + 7*w^2 + 17*w - 5]', '[2153, 2153, -9*w^3 + 11*w^2 + 52*w - 7]', '[2153, 2153, 4*w^3 - 4*w^2 - 26*w + 7]', '[2154, 2154, 4*w^3 - 5*w^2 - 19*w - 4]', '[2154, 2154, -w^3 + w^2 + 8*w - 8]', '[2154, 2154, 2*w^3 - 6*w^2 - 7*w + 17]', '[2154, 2154, 7*w^3 - 9*w^2 - 40*w + 6]', '[2174, 2174, -4*w^3 + 3*w^2 + 29*w + 16]', '[2174, 2174, -10*w^3 + 6*w^2 + 65*w + 37]', '[2176, 68, -6*w^3 + 4*w^2 + 40*w + 18]', '[2176, 68, 2*w^3 - 4*w^2 - 16*w - 2]', '[2176, 136, 4*w^3 - 6*w^2 - 24*w + 6]', '[2176, 136, -5*w^3 + 6*w^2 + 26*w + 1]', '[2176, 136, -2*w^3 + 18*w + 4]', '[2176, 136, 3*w^3 - 4*w^2 - 12*w - 1]', '[2176, 272, 3*w^3 - 3*w^2 - 13*w - 3]', '[2176, 272, -5*w^3 + 5*w^2 + 27*w + 5]', '[2178, 66, -2*w^3 + 4*w^2 + 13*w + 3]', '[2179, 2179, -7*w^3 + 10*w^2 + 40*w - 18]', '[2179, 2179, -7*w^3 + 6*w^2 + 39*w + 17]', '[2181, 2181, -6*w^3 + 5*w^2 + 34*w + 12]', '[2181, 2181, -w^3 + 5*w^2 - 8*w + 7]', '[2187, 9, 3*w^3 - 18*w - 12]', '[2194, 2194, 3*w^3 - 3*w^2 - 20*w]', '[2194, 2194, 2*w^3 - 2*w^2 - 15*w + 1]', '[2202, 2202, 4*w^3 - 6*w^2 - 19*w - 3]', '[2202, 2202, 8*w^3 - 11*w^2 - 43*w + 4]', '[2203, 2203, -w^3 + 4*w^2 + 3*w - 11]', '[2203, 2203, 3*w^2 - 4*w - 6]', '[2209, 47, 5*w^3 - 6*w^2 - 26*w - 2]', '[2209, 47, 3*w^3 - 4*w^2 - 12*w]', '[2213, 2213, 2*w^3 + w^2 - 20*w - 12]', '[2213, 2213, 4*w^3 - 5*w^2 - 22*w - 8]', '[2214, 246, 4*w^3 - 3*w^2 - 27*w - 10]', '[2214, 246, -2*w^3 + 3*w^2 + 15*w + 2]', '[2228, 1114, 7*w^3 - 5*w^2 - 37*w - 18]', '[2228, 1114, 4*w^3 - 7*w^2 - 12*w - 5]', '[2228, 1114, -9*w^3 + 5*w^2 + 55*w + 26]', '[2228, 1114, -3*w^3 + w^2 + 21*w + 7]', '[2229, 2229, -5*w^3 + 2*w^2 + 36*w + 12]', '[2229, 2229, -w^3 - w^2 + 6*w + 11]', '[2229, 2229, 2*w^3 - 13*w - 4]', '[2229, 2229, 4*w^2 - 10*w - 3]', '[2232, 186, w^3 - 4*w^2 + 2*w + 7]', '[2232, 186, 5*w^3 - 8*w^2 - 26*w + 5]', '[2232, 372, -w^3 - w^2 + 5*w + 9]', '[2232, 372, 3*w^3 - w^2 - 19*w - 7]', '[2241, 249, -4*w^3 + 3*w^2 + 30*w - 8]', '[2241, 249, -2*w^3 + 9*w^2 - 6*w - 10]', '[2241, 249, 5*w^3 - 6*w^2 - 33*w + 13]', '[2241, 249, -4*w^3 + 9*w^2 + 12*w - 2]', '[2243, 2243, w^3 + w^2 - 2*w - 5]', '[2243, 2243, -5*w^3 + 8*w^2 + 23*w - 1]', '[2243, 2243, -6*w^3 + 4*w^2 + 37*w + 14]', '[2243, 2243, 8*w^3 - 12*w^2 - 41*w + 8]', '[2246, 2246, 5*w^3 - 7*w^2 - 30*w - 2]', '[2246, 2246, -8*w^3 + 9*w^2 + 47*w + 8]', '[2248, 562, -3*w^3 + 2*w^2 + 22*w + 1]', '[2248, 562, -5*w^3 + 8*w^2 + 26*w - 15]', '[2248, 1124, -w^3 + 4*w^2 + 5*w - 6]', '[2248, 1124, -6*w^3 + 7*w^2 + 28*w - 7]', '[2253, 2253, 6*w^3 - 12*w^2 - 20*w + 5]', '[2253, 2253, -10*w^3 + 16*w^2 + 48*w - 15]', '[2273, 2273, -3*w^3 + 3*w^2 + 14*w + 9]', '[2273, 2273, 4*w^3 - 4*w^2 - 21*w + 2]', '[2274, 2274, 3*w^2 - 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19*w - 19]', '[4022, 4022, -4*w^3 + 7*w^2 + 17*w - 12]', '[4023, 447, 4*w^3 - 3*w^2 - 24*w - 4]', '[4023, 447, -w^3 + 3*w + 7]', '[4027, 4027, -4*w^3 + 5*w^2 + 30*w + 16]', '[4027, 4027, 2*w^3 - 8*w^2 + 2*w + 9]', '[4034, 4034, 2*w^3 - 4*w^2 - 3*w - 5]', '[4034, 4034, 7*w^3 - 7*w^2 - 36*w - 22]', '[4034, 4034, 3*w^3 - 7*w^2 - 12*w + 2]', '[4034, 4034, 2*w^3 - 6*w^2 - 5*w + 17]', '[4051, 4051, -5*w^3 + 7*w^2 + 30*w - 1]', '[4051, 4051, -2*w^3 + 19*w + 8]', '[4056, 78, 11*w^3 - 12*w^2 - 58*w - 25]', '[4056, 78, -5*w^3 + 6*w^2 + 28*w + 7]', '[4056, 156, -7*w^3 + 5*w^2 + 39*w + 11]', '[4056, 156, 13*w^3 - 8*w^2 - 81*w - 38]', '[4062, 4062, 12*w^3 - 16*w^2 - 69*w + 19]', '[4062, 4062, 4*w^3 - 29*w - 17]', '[4083, 4083, 2*w^3 - 3*w^2 - 14*w + 12]', '[4083, 4083, 3*w^3 - 2*w^2 - 21*w + 5]', '[4086, 1362, 5*w^3 - 7*w^2 - 22*w - 12]', '[4086, 1362, 6*w^3 - 8*w^2 - 35*w + 7]', '[4086, 1362, -w^2 - w + 14]', '[4086, 1362, 2*w^3 - 5*w^2 - 5*w - 4]', '[4093, 4093, -4*w^2 + 7*w + 8]', '[4093, 4093, -3*w^3 + 7*w^2 + 14*w - 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7*w - 13]', '[4258, 4258, -3*w^3 + 7*w^2 + 14*w - 8]', '[4261, 4261, -16*w^3 + 23*w^2 + 86*w - 22]', '[4261, 4261, 6*w^3 - 6*w^2 - 38*w - 11]', '[4261, 4261, w^3 - 4*w^2 + 4*w - 6]', '[4261, 4261, 7*w^3 - 5*w^2 - 44*w - 25]', '[4269, 4269, -6*w^3 + 6*w^2 + 37*w + 8]', '[4269, 4269, -3*w^3 + 2*w^2 + 19*w + 15]', '[4273, 4273, 6*w^3 - 9*w^2 - 28*w + 6]', '[4273, 4273, -w^3 + 6*w^2 + w - 23]', '[4273, 4273, -5*w^3 + 8*w^2 + 21*w - 1]', '[4273, 4273, 9*w^3 - 11*w^2 - 56*w + 17]', '[4274, 4274, -16*w^3 + 10*w^2 + 99*w + 47]', '[4274, 4274, 4*w^3 - 5*w^2 - 17*w - 10]', '[4274, 4274, 6*w^3 - 10*w^2 - 27*w + 3]', '[4274, 4274, 6*w^3 - 5*w^2 - 33*w - 20]', '[4282, 4282, 4*w^3 - 5*w^2 - 19*w - 12]', '[4282, 4282, -4*w^3 + 5*w^2 + 19*w - 10]', '[4286, 4286, 8*w^3 - 10*w^2 - 37*w - 19]', '[4286, 4286, w^3 - w^2 - 2*w - 8]', '[4288, 268, 2*w^3 - 6*w^2 - 6*w + 14]', '[4288, 268, -6*w^3 + 2*w^2 + 38*w + 24]', '[4288, 268, -2*w^3 + 6*w^2 + 6*w - 6]', '[4288, 268, -10*w^3 + 14*w^2 + 54*w - 20]', '[4288, 536, 2*w^3 - 5*w^2 - 6*w + 19]', '[4288, 536, 5*w^3 - 9*w^2 - 23*w + 20]', '[4288, 536, -2*w^3 + w^2 + 6*w - 7]', '[4288, 536, -3*w^3 + 3*w^2 + 13*w - 8]', '[4289, 4289, 6*w^3 - 9*w^2 - 30*w + 2]', '[4289, 4289, 7*w^3 - 10*w^2 - 36*w + 2]', '[4306, 4306, 4*w^3 - 6*w^2 - 15*w + 3]', '[4306, 4306, -7*w^3 + 9*w^2 + 36*w + 2]', '[4308, 2154, -w^3 + 3*w^2 - w - 7]', '[4308, 2154, -7*w^3 + 11*w^2 + 39*w - 16]', '[4308, 2154, 4*w^3 - 7*w^2 - 21*w + 3]', '[4308, 2154, 3*w^3 - 19*w - 8]', '[4308, 2154, -2*w^3 - w^2 + 12*w + 15]', '[4308, 2154, 12*w^3 - 19*w^2 - 59*w + 27]', '[4308, 2154, 17*w^3 - 25*w^2 - 89*w + 28]', '[4308, 2154, 5*w^3 - 7*w^2 - 27*w - 1]', '[4321, 4321, w^3 - 6*w^2 + 11*w - 1]', '[4321, 4321, 12*w^3 - 17*w^2 - 66*w + 18]', '[4321, 4321, -3*w^2 + 10*w - 6]', '[4321, 4321, 7*w^3 - 10*w^2 - 39*w + 17]', '[4327, 4327, 6*w^3 - 8*w^2 - 30*w + 3]', '[4327, 4327, 4*w^3 - 6*w^2 - 16*w - 1]', '[4339, 4339, 6*w^3 - 6*w^2 - 40*w - 15]', '[4339, 4339, -13*w^3 + 22*w^2 + 64*w - 30]', '[4348, 2174, 7*w^3 - 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11]', '[4358, 4358, 9*w^3 - 3*w^2 - 56*w - 38]', '[4359, 4359, -3*w^3 - 2*w^2 + 27*w + 17]', '[4359, 4359, 4*w^3 - 4*w^2 - 26*w - 1]', '[4359, 4359, 2*w^3 - 2*w^2 - 16*w + 1]', '[4359, 4359, -7*w^3 + 7*w^2 + 38*w + 13]', '[4362, 4362, 8*w^3 - 11*w^2 - 39*w - 6]', '[4362, 4362, -10*w^3 + 16*w^2 + 51*w - 15]', '[4373, 4373, -7*w^3 + 4*w^2 + 47*w + 27]', '[4373, 4373, 4*w^3 - 2*w^2 - 29*w - 20]', '[4374, 18, -6*w^3 + 9*w^2 + 27*w + 6]', '[4383, 1461, 5*w^3 - 5*w^2 - 26*w - 7]', '[4383, 1461, -4*w^3 + 4*w^2 + 19*w + 2]', '[4387, 4387, -5*w^3 + 16*w^2 - 3*w - 3]', '[4387, 4387, -6*w^3 + 5*w^2 + 36*w + 20]', '[4387, 4387, -14*w^3 + 23*w^2 + 66*w - 22]', '[4387, 4387, -11*w^3 + 8*w^2 + 65*w + 27]', '[4387, 4387, -5*w^3 + 6*w^2 + 32*w - 8]', '[4387, 4387, 4*w^3 - 5*w^2 - 26*w - 4]', '[4387, 4387, w^3 - w + 7]', '[4387, 4387, 3*w^3 - 2*w^2 - 24*w + 4]', '[4388, 2194, -4*w^3 + 5*w^2 + 17*w + 13]', '[4388, 2194, -3*w^3 + 23*w + 20]', '[4388, 2194, -3*w^3 + 5*w^2 + 9*w + 8]', '[4388, 2194, -w^3 - w^2 + 11*w + 13]', '[4397, 4397, -5*w^3 + 6*w^2 + 32*w + 10]', '[4397, 4397, -3*w^3 + 2*w^2 + 24*w + 14]', '[4401, 489, 7*w^3 - 6*w^2 - 42*w - 22]', '[4401, 489, -w^3 - 8]', '[4404, 2202, 5*w^3 - 7*w^2 - 23*w + 4]', '[4404, 2202, 2*w^3 - w^2 - 18*w - 7]', '[4404, 2202, 17*w^3 - 25*w^2 - 87*w + 26]', '[4404, 2202, 5*w^3 - 6*w^2 - 31*w - 4]', '[4406, 4406, -10*w^3 + 8*w^2 + 59*w + 19]', '[4406, 4406, -6*w^3 + 3*w^2 + 37*w + 16]', '[4418, 94, -7*w^3 + 3*w^2 + 44*w + 30]', '[4418, 94, -3*w^3 + w^2 + 16*w + 12]', '[4419, 1473, -5*w^3 + 5*w^2 + 32*w - 5]', '[4419, 1473, -4*w^3 + 2*w^2 + 29*w + 18]', '[4419, 1473, 2*w^3 - 2*w^2 - 17*w + 8]', '[4419, 1473, 19*w^3 - 28*w^2 - 100*w + 34]', '[4421, 4421, 2*w^2 - 7*w - 8]', '[4421, 4421, -5*w^3 + 7*w^2 + 28*w + 1]', '[4423, 4423, 3*w^3 - 4*w^2 - 21*w + 5]', '[4423, 4423, -4*w^3 + 3*w^2 + 28*w + 2]', '[4426, 4426, -7*w^3 + 11*w^2 + 32*w - 4]', '[4426, 4426, -12*w^3 + 9*w^2 + 75*w + 38]', '[4428, 246, -5*w^3 + 9*w^2 + 15*w + 11]', '[4428, 246, 11*w^3 - 21*w^2 - 45*w + 22]', '[4428, 246, -16*w^3 + 27*w^2 + 75*w - 29]', '[4428, 246, w^3 - 3*w^2 + 3*w - 7]', '[4437, 1479, 2*w^3 - 4*w^2 - 4*w - 9]', '[4437, 1479, -6*w^3 + 8*w^2 + 32*w - 13]', '[4437, 1479, 3*w^3 - 2*w^2 - 23*w + 1]', '[4437, 1479, 4*w^3 - 5*w^2 - 26*w + 6]', '[4443, 4443, -6*w^3 + 2*w^2 + 42*w + 19]', '[4443, 4443, -5*w^3 + 2*w^2 + 34*w + 14]', '[4447, 4447, 10*w^3 - 18*w^2 - 45*w + 18]', '[4447, 4447, -13*w^3 + 20*w^2 + 63*w - 11]', '[4449, 4449, -6*w^3 + 10*w^2 + 30*w - 19]', '[4449, 4449, 16*w^3 - 24*w^2 - 85*w + 24]', '[4451, 4451, -2*w^3 + 17*w + 14]', '[4451, 4451, 3*w^3 - 5*w^2 - 18*w - 3]', '[4451, 4451, 4*w - 9]', '[4451, 4451, -5*w^3 + 9*w^2 + 26*w - 19]', '[4456, 1114, -3*w^3 + 2*w^2 + 22*w + 5]', '[4456, 1114, -w^3 + 4*w^2 + 2*w - 19]', '[4456, 2228, w^3 + 4*w^2 - w - 6]', '[4456, 2228, -6*w^3 + 5*w^2 + 28*w - 1]', '[4457, 4457, -5*w^3 + 9*w^2 + 16*w - 7]', '[4457, 4457, 10*w^3 - 14*w^2 - 51*w + 2]', '[4458, 4458, -12*w^3 + 15*w^2 + 73*w - 22]', '[4458, 4458, 12*w^3 - 9*w^2 - 71*w - 28]', '[4458, 4458, -6*w^3 + 2*w^2 + 37*w + 21]', '[4458, 4458, 4*w^3 - w^2 - 39*w + 12]', '[4461, 4461, -10*w^3 + 18*w^2 + 43*w - 18]', '[4461, 4461, -6*w^2 + 16*w + 5]', '[4461, 4461, 10*w^3 - 16*w^2 - 54*w + 21]', '[4461, 4461, -9*w^3 + 17*w^2 + 36*w - 11]', '[4464, 186, 6*w^3 - 4*w^2 - 40*w - 16]', '[4464, 186, 2*w^3 - 4*w^2 - 16*w]', '[4464, 372, 3*w^3 - 7*w^2 - 13*w + 8]', '[4464, 372, 3*w^3 - w^2 - 25*w - 1]', '[4464, 372, w^3 - 5*w^2 + w + 12]', '[4464, 372, 5*w^3 - 7*w^2 - 31*w + 9]', '[4479, 4479, -6*w^3 + 10*w^2 + 30*w - 7]', '[4479, 4479, 16*w^3 - 25*w^2 - 80*w + 32]', '[4482, 498, -2*w^3 + 3*w^2 + 9*w - 10]', '[4482, 498, -4*w^3 + 9*w^2 + 15*w - 14]', '[4482, 498, 8*w^3 - 12*w^2 - 39*w + 7]', '[4482, 498, -4*w^3 + 9*w^2 + 27*w - 8]', '[4486, 4486, 4*w^3 - 2*w^2 - 25*w - 21]', '[4486, 4486, 5*w^3 - 7*w^2 - 20*w - 16]', '[4486, 4486, -4*w^2 + 13*w + 1]', '[4486, 4486, 4*w^3 - 5*w^2 - 25*w]', '[4489, 67, -2*w^3 + 2*w^2 + 14*w + 11]', '[4489, 67, -9*w^3 + 11*w^2 + 52*w - 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21*w - 4]', '[4619, 4619, -w^3 + 2*w^2 + 10*w - 6]', '[4619, 4619, -5*w^3 + 4*w^2 + 32*w + 4]', '[4619, 4619, -4*w^3 + 4*w^2 + 23*w - 4]', '[4619, 4619, w^3 - w^2 - 2*w - 9]', '[4621, 4621, -5*w^2 + 10*w + 14]', '[4621, 4621, 5*w^3 - 5*w^2 - 26*w - 5]', '[4621, 4621, -5*w^3 + 10*w^2 + 25*w - 11]', '[4621, 4621, 4*w^3 - 4*w^2 - 19*w - 4]', '[4622, 4622, -9*w^3 + 3*w^2 + 58*w + 42]', '[4622, 4622, -14*w^3 + 9*w^2 + 87*w + 40]', '[4624, 34, 4*w^3 - 4*w^2 - 28*w - 10]', '[4624, 34, -4*w^3 + 4*w^2 + 28*w - 6]', '[4624, 68, 3*w^3 - 3*w^2 - 21*w + 1]', '[4624, 68, -8*w^3 + 11*w^2 + 40*w - 9]', '[4624, 68, 7*w^3 - 9*w^2 - 35*w + 6]', '[4624, 68, -3*w^3 + 3*w^2 + 21*w + 4]', '[4624, 578, 6*w^3 - 8*w^2 - 34*w + 14]', '[4624, 578, 2*w^2 - 8*w + 8]', '[4624, 1156, w^3 - w^2 - 3*w + 8]', '[4624, 1156, w^3 - 5*w^2 + w + 7]', '[4624, 1156, -3*w^3 + 3*w^2 + 17*w + 12]', '[4624, 1156, 3*w^3 - 7*w^2 - 13*w + 13]', '[4629, 4629, -5*w^3 + 6*w^2 + 25*w + 1]', '[4629, 4629, 4*w^3 - 5*w^2 - 18*w - 2]', '[4637, 4637, w^2 - 6*w - 8]', '[4637, 4637, -5*w^3 + 6*w^2 + 29*w + 7]', '[4647, 4647, 5*w^3 - 14*w^2 - 4*w - 2]', '[4647, 4647, 6*w^3 - 6*w^2 - 40*w + 7]', '[4647, 4647, 9*w^3 - 13*w^2 - 50*w + 21]', '[4647, 4647, 17*w^3 - 26*w^2 - 88*w + 34]', '[4649, 4649, 5*w^3 - 4*w^2 - 25*w - 13]', '[4649, 4649, 6*w^3 - 5*w^2 - 32*w - 4]', '[4651, 4651, -w^3 + 5*w^2 - 15]', '[4651, 4651, 6*w^3 - 8*w^2 - 30*w + 1]', '[4652, 2326, -10*w^3 + 25*w^2 + 18*w - 1]', '[4652, 2326, -7*w^3 + 11*w^2 + 31*w + 12]', '[4652, 2326, 6*w^3 - 7*w^2 - 38*w - 17]', '[4652, 2326, w^3 + 7*w^2 - 23*w - 14]', '[4652, 2326, -3*w^3 + w^2 + 23*w + 16]', '[4652, 2326, 3*w^3 - 7*w^2 - 9*w + 11]', '[4652, 2326, -2*w^3 - w^2 + 11*w + 3]', '[4652, 2326, -w^3 - 2*w^2 + 13*w - 2]', '[4656, 582, 4*w^3 - 4*w^2 - 26*w - 4]', '[4656, 582, 2*w^3 - 2*w^2 - 16*w - 2]', '[4656, 582, -6*w^3 + 8*w^2 + 30*w - 2]', '[4656, 582, 4*w^3 - 6*w^2 - 16*w]', '[4656, 1164, 14*w^3 - 21*w^2 - 71*w + 21]', '[4656, 1164, 7*w^3 - 6*w^2 - 37*w - 6]', '[4656, 1164, 3*w^3 - 2*w^2 - 25*w + 6]', '[4656, 1164, 10*w^3 - 15*w^2 - 49*w + 15]', '[4656, 1164, -7*w^3 + 10*w^2 + 41*w - 2]', '[4656, 1164, -23*w^3 + 35*w^2 + 121*w - 40]', '[4656, 1164, 3*w^3 - 5*w^2 - 21*w - 1]', '[4656, 1164, 9*w^3 - 13*w^2 - 51*w + 16]', '[4657, 4657, 2*w^3 - 3*w^2 - 16*w - 2]', '[4657, 4657, -2*w^3 + 12*w - 5]', '[4657, 4657, 5*w^3 - 4*w^2 - 33*w - 11]', '[4657, 4657, -9*w^3 + 5*w^2 + 50*w + 21]', '[4659, 4659, 2*w^3 + w^2 - 22*w + 4]', '[4659, 4659, -7*w^3 + 10*w^2 + 41*w - 17]', '[4671, 519, w^3 - 3*w^2 - 6*w + 11]', '[4671, 519, 2*w^3 - 15*w - 2]', '[4677, 4677, 5*w^3 - 3*w^2 - 44*w + 15]', '[4677, 4677, 4*w^3 - 7*w^2 - 18*w]', '[4677, 4677, -12*w^3 + 14*w^2 + 61*w + 24]', '[4677, 4677, -13*w^3 + 12*w^2 + 74*w + 32]', '[4678, 4678, -3*w^3 - w^2 + 22*w + 22]', '[4678, 4678, -5*w^3 + 5*w^2 + 26*w + 6]', '[4678, 4678, -13*w^3 + 7*w^2 + 84*w + 52]', '[4678, 4678, -3*w^3 + 3*w^2 + 24*w + 10]', '[4684, 2342, 4*w^3 - 5*w^2 - 25*w + 1]', '[4684, 2342, 7*w^3 - 7*w^2 - 35*w + 1]', '[4684, 2342, 2*w^3 - 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3*w + 7]', '[5142, 5142, 10*w^3 - 16*w^2 - 47*w + 11]', '[5142, 5142, 8*w^3 - 15*w^2 - 35*w + 18]', '[5144, 1286, 9*w^3 - 12*w^2 - 50*w + 13]', '[5144, 1286, -5*w^3 + 4*w^2 + 34*w - 1]', '[5144, 2572, 7*w^3 - 9*w^2 - 31*w + 13]', '[5144, 2572, -3*w^3 + 5*w^2 + 11*w - 9]', '[5146, 5146, 7*w^3 - 11*w^2 - 40*w + 12]', '[5146, 5146, 2*w^3 + 2*w^2 - 23*w - 7]', '[5146, 5146, 3*w^3 - 5*w^2 - 16*w + 14]', '[5146, 5146, -13*w^3 + 21*w^2 + 62*w - 20]', '[5146, 5146, 10*w^3 - 18*w^2 - 45*w + 19]', '[5146, 5146, -7*w^3 + 15*w^2 + 24*w - 12]', '[5146, 5146, 8*w^3 - 16*w^2 - 27*w + 7]', '[5146, 5146, 2*w^2 - 5*w + 5]', '[5151, 5151, -5*w^3 + 11*w^2 + 18*w - 9]', '[5151, 5151, -6*w^3 + 12*w^2 + 25*w - 16]', '[5151, 5151, 11*w^3 - 17*w^2 - 54*w + 15]', '[5151, 5151, 6*w^3 - 12*w^2 - 19*w + 4]', '[5154, 5154, 6*w^3 - 7*w^2 - 35*w + 6]', '[5154, 5154, 6*w^3 - 6*w^2 - 37*w + 1]', '[5156, 2578, 6*w^3 - 11*w^2 - 32*w + 17]', '[5156, 2578, 6*w^3 - 11*w^2 - 25*w + 13]', '[5156, 2578, 6*w^3 - 11*w^2 - 25*w + 5]', '[5156, 2578, 6*w^3 - 7*w^2 - 32*w + 5]', '[5164, 2582, 5*w^3 - 7*w^2 - 23*w - 1]', '[5164, 2582, 13*w^3 - 19*w^2 - 71*w + 22]', '[5164, 2582, 5*w^3 - 7*w^2 - 23*w + 3]', '[5164, 2582, 19*w^3 - 29*w^2 - 101*w + 34]', '[5179, 5179, -5*w^3 + 6*w^2 + 24*w + 6]', '[5179, 5179, 5*w^3 - 6*w^2 - 24*w + 2]', '[5184, 12, 6*w^3 - 12*w^2 - 18*w]', '[5184, 12, 6*w^3 - 6*w^2 - 30*w - 12]', '[5184, 24, 3*w^3 - 3*w^2 - 21*w - 3]', '[5184, 24, 3*w^3 - 3*w^2 - 21*w]', '[5189, 5189, 2*w^3 - 5*w^2 - 4]', '[5189, 5189, 7*w^2 - 18*w - 8]', '[5193, 1731, 9*w^3 - 16*w^2 - 43*w + 17]', '[5193, 1731, -9*w^3 + 13*w^2 + 52*w - 17]', '[5193, 1731, 15*w^3 - 22*w^2 - 79*w + 29]', '[5193, 1731, -15*w^3 + 23*w^2 + 74*w - 25]', '[5199, 5199, -11*w^3 + 4*w^2 + 77*w + 41]', '[5199, 5199, -9*w^3 + 10*w^2 + 57*w - 19]', '[5202, 102, -6*w^3 + 7*w^2 + 31*w - 8]', '[5202, 102, 3*w^3 - 7*w^2 - 10*w + 14]', '[5202, 1734, 2*w^3 - 4*w^2 - 13*w + 9]', '[5202, 1734, 3*w^3 - w^2 - 22*w - 4]', '[5212, 2606, -5*w^3 + 9*w^2 + 17*w + 1]', '[5212, 2606, -6*w^3 + 5*w^2 + 31*w + 13]', '[5212, 2606, -8*w^3 + 7*w^2 + 43*w + 19]', '[5212, 2606, -6*w^3 + 11*w^2 + 20*w + 3]', '[5216, 652, 10*w^3 - 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11]', '[5248, 328, 5*w^3 - 10*w^2 - 22*w + 11]', '[5248, 328, 6*w^3 - 16*w^2 - 6*w - 4]', '[5248, 328, -2*w^3 + 8*w^2 - 6*w + 4]', '[5248, 656, -w^3 + 5*w^2 - w - 11]', '[5248, 656, 3*w^3 - 7*w^2 - 13*w + 9]', '[5253, 5253, -4*w^3 + 6*w^2 + 16*w - 9]', '[5253, 5253, -w^3 + 4*w^2 - w - 11]', '[5253, 5253, 4*w^3 - 7*w^2 - 20*w + 2]', '[5253, 5253, 6*w^3 - 8*w^2 - 30*w - 7]', '[5274, 1758, -2*w^3 + 2*w^2 + 5*w - 11]', '[5274, 1758, w^3 - 5*w^2 - 14*w]', '[5276, 2638, w^3 - 5*w^2 + 3*w + 12]', '[5276, 2638, -w^3 - 2*w^2 + 7*w + 16]', '[5276, 2638, 5*w^3 - 9*w^2 - 25*w + 6]', '[5276, 2638, 2*w^3 + w^2 - 14*w - 5]', '[5276, 2638, w^3 + 5*w^2 - 19*w - 18]', '[5276, 2638, 5*w^3 - 2*w^2 - 31*w - 24]', '[5276, 2638, 2*w^3 - 7*w^2 + w + 9]', '[5276, 2638, -w^3 - w^2 + 5*w + 11]', '[5281, 5281, 5*w - 16]', '[5281, 5281, -11*w^3 + 16*w^2 + 61*w - 19]', '[5281, 5281, 6*w^3 - 2*w^2 - 46*w - 23]', '[5281, 5281, -5*w^3 + 4*w^2 + 35*w + 15]', '[5288, 1322, -5*w^3 + 8*w^2 + 26*w - 3]', '[5288, 1322, -13*w^3 + 20*w^2 + 62*w - 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3*w^2 - 17*w - 4]', '[5338, 5338, -6*w^3 + 5*w^2 + 39*w + 14]', '[5338, 5338, 2*w^3 - w^2 - 19*w - 8]', '[5338, 5338, -4*w^3 + 6*w^2 + 25*w - 5]', '[5338, 5338, 9*w^3 - 9*w^2 - 54*w - 8]', '[5342, 5342, -2*w^3 + 4*w^2 + 5*w - 15]', '[5342, 5342, 4*w^3 - 7*w^2 - 25*w]', '[5347, 5347, 4*w^3 - 5*w^2 - 32*w - 14]', '[5347, 5347, 6*w^3 - 10*w^2 - 24*w - 1]', '[5349, 5349, 7*w^3 - 13*w^2 - 36*w + 15]', '[5349, 5349, 9*w^3 - 16*w^2 - 44*w + 24]', '[5352, 1338, w^3 + 2*w^2 - 12*w - 15]', '[5352, 1338, -3*w^3 - 4*w^2 + 34*w + 21]', '[5352, 2676, 3*w^3 + w^2 - 19*w - 21]', '[5352, 2676, -9*w^3 + 6*w^2 + 53*w + 28]', '[5354, 5354, 8*w^3 - 3*w^2 - 51*w - 36]', '[5354, 5354, -13*w^3 + 9*w^2 + 80*w + 34]', '[5354, 5354, 9*w^3 - 5*w^2 - 58*w - 26]', '[5354, 5354, -7*w^3 + 7*w^2 + 38*w + 2]', '[5363, 5363, -2*w^3 + 16*w - 3]', '[5363, 5363, -2*w^3 + 4*w^2 + 12*w - 15]', '[5363, 5363, -2*w^3 - w^2 + 20*w + 2]', '[5363, 5363, -5*w^3 + 8*w^2 + 29*w - 13]', '[5364, 894, -2*w^3 + 5*w^2 + 5*w - 11]', '[5364, 894, -11*w^3 + 20*w^2 + 47*w - 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6*w^2 - 30*w - 12]', '[5527, 5527, -w^3 + 2*w^2 - 14]', '[5527, 5527, 5*w^3 - 6*w^2 - 28*w - 14]', '[5528, 1382, 7*w^3 - 8*w^2 - 38*w - 11]', '[5528, 1382, 7*w^3 - 10*w^2 - 38*w + 3]', '[5528, 2764, -2*w^3 - w^2 + 8*w + 9]', '[5528, 2764, 17*w^3 - 27*w^2 - 85*w + 27]', '[5532, 2766, -w^3 + 6*w^2 - 7*w - 10]', '[5532, 2766, 6*w^3 - 3*w^2 - 43*w - 23]', '[5532, 2766, -8*w^3 + 13*w^2 + 42*w - 11]', '[5532, 2766, -4*w^3 + 3*w^2 + 29*w - 7]', '[5536, 692, -8*w^3 + 10*w^2 + 46*w - 4]', '[5536, 692, -9*w^3 + 8*w^2 + 56*w + 19]', '[5536, 692, 5*w^3 - 4*w^2 - 32*w - 19]', '[5536, 692, 2*w - 10]', '[5536, 1384, -3*w^3 + 8*w^2 + 17*w - 12]', '[5536, 1384, -4*w^3 + 3*w^2 + 16*w - 1]', '[5541, 5541, -9*w^3 + 14*w^2 + 43*w - 21]', '[5541, 5541, 14*w^3 - 13*w^2 - 80*w - 32]', '[5541, 5541, 5*w^3 - 8*w^2 - 27*w + 3]', '[5541, 5541, -4*w^3 + 8*w^2 + 15*w + 2]', '[5542, 5542, -4*w^3 + 7*w^2 + 15*w + 8]', '[5542, 5542, 2*w^3 - w^2 - 9*w + 6]', '[5542, 5542, 4*w^3 - 3*w^2 - 23*w - 18]', '[5542, 5542, -6*w^3 + 9*w^2 + 29*w - 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37]', '[5592, 1398, -w^3 + 2*w^2 + 4*w + 7]', '[5592, 2796, 19*w^3 - 14*w^2 - 115*w - 52]', '[5592, 2796, -w^3 - 3*w^2 + 5*w + 11]', '[5594, 5594, -2*w^3 + 15*w + 1]', '[5594, 5594, -8*w^3 + 12*w^2 + 37*w - 15]', '[5594, 5594, 16*w^3 - 10*w^2 - 97*w - 45]', '[5594, 5594, -w^3 + 3*w^2 + 6*w - 12]', '[5602, 5602, 2*w^3 - 2*w^2 - 11*w - 11]', '[5602, 5602, -w^3 + w^2 + 4*w - 8]', '[5606, 5606, 2*w^2 + 3*w - 7]', '[5606, 5606, -5*w^3 + 11*w^2 + 30*w - 14]', '[5608, 1402, w^3 - 2*w^2 - 6*w - 7]', '[5608, 1402, w^3 - 8*w - 13]', '[5608, 2804, -w^3 - w^2 + 13*w - 7]', '[5608, 2804, -2*w^3 + w^2 + 20*w - 5]', '[5619, 5619, -12*w^3 + 20*w^2 + 55*w - 18]', '[5619, 5619, -9*w^3 + 17*w^2 + 34*w - 9]', '[5619, 5619, 4*w^3 - 10*w^2 - 11*w + 8]', '[5619, 5619, 7*w^3 - 13*w^2 - 32*w + 17]', '[5625, 15, 5*w^2 - 10*w - 10]', '[5626, 5626, 12*w^3 - 18*w^2 - 59*w + 19]', '[5626, 5626, 3*w^2 - 11*w - 2]', '[5626, 5626, 14*w^3 - 21*w^2 - 71*w + 20]', '[5626, 5626, -8*w^3 + 11*w^2 + 45*w - 8]', '[5626, 5626, -6*w^3 + 10*w^2 + 25*w - 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8*w - 7]', '[5644, 2822, -11*w^3 + 21*w^2 + 45*w - 20]', '[5644, 2822, -5*w^3 + 7*w^2 + 23*w]', '[5644, 2822, -11*w^3 + 20*w^2 + 45*w - 14]', '[5644, 2822, 11*w^3 - 21*w^2 - 41*w + 10]', '[5644, 2822, 9*w^3 - 12*w^2 - 51*w + 10]', '[5644, 2822, -15*w^3 + 25*w^2 + 69*w - 24]', '[5644, 2822, -3*w^2 + 12*w - 1]', '[5646, 5646, 3*w^3 - w^2 - 24*w - 8]', '[5646, 5646, -8*w^3 + 8*w^2 + 43*w + 23]', '[5647, 5647, -7*w^3 + 11*w^2 + 32*w - 5]', '[5647, 5647, -6*w^3 + 12*w^2 + 26*w - 19]', '[5652, 942, -3*w^3 - w^2 + 17*w + 14]', '[5652, 942, 3*w^3 - 7*w^2 - 13*w + 11]', '[5652, 942, 7*w^3 - 14*w^2 - 29*w + 12]', '[5652, 942, w^3 - 5*w^2 - 5*w + 6]', '[5652, 942, w^3 - 5*w^2 + w + 9]', '[5652, 942, -5*w^3 + w^2 + 31*w + 18]', '[5652, 942, 3*w^3 + w^2 - 23*w - 20]', '[5652, 942, -6*w^3 + 13*w^2 + 22*w - 17]', '[5659, 5659, -4*w^3 + 4*w^2 + 23*w + 14]', '[5659, 5659, -9*w^3 + 10*w^2 + 53*w + 7]', '[5667, 5667, 11*w^3 - 19*w^2 - 48*w + 11]', '[5667, 5667, -6*w^3 + 3*w^2 + 38*w + 16]', '[5672, 1418, -w^3 + 2*w^2 + 8*w - 11]', '[5672, 1418, -3*w^3 + 6*w^2 + 16*w - 17]', '[5672, 1418, -9*w^3 + 4*w^2 + 64*w + 33]', '[5672, 1418, -15*w^3 + 24*w^2 + 78*w - 35]', '[5672, 2836, -3*w^3 + 7*w^2 + 19*w - 3]', '[5672, 2836, w^3 - 9*w^2 + 15*w + 13]', '[5672, 2836, -5*w^3 + 9*w^2 + 29*w - 5]', '[5672, 2836, -13*w^3 + 21*w^2 + 69*w - 21]', '[5674, 5674, 4*w^3 - 29*w - 19]', '[5674, 5674, w^3 - 5*w^2 - 6*w + 8]', '[5679, 1893, -4*w^3 + 4*w^2 + 25*w - 10]', '[5679, 1893, -w^3 + w^2 + 10*w - 13]', '[5692, 2846, -7*w^3 + 8*w^2 + 43*w + 8]', '[5692, 2846, -6*w^3 + 7*w^2 + 31*w + 5]', '[5692, 2846, w^3 - 5*w^2 - w + 16]', '[5692, 2846, w^3 - 4*w^2 + w + 22]', '[5693, 5693, -5*w^3 + 9*w^2 + 20*w + 1]', '[5693, 5693, 14*w^3 - 20*w^2 - 74*w + 13]', '[5711, 5711, 6*w^2 - 17*w - 2]', '[5711, 5711, 3*w^3 - 28*w + 2]', '[5711, 5711, -9*w^3 + 8*w^2 + 55*w + 23]', '[5711, 5711, -5*w^3 + 14*w^2 + 2*w + 2]', '[5713, 5713, 2*w^3 - 7*w^2 - 2*w + 12]', '[5713, 5713, -5*w^3 + 10*w^2 + 22*w - 14]', '[5713, 5713, 3*w^3 - 8*w^2 - 8*w + 8]', '[5713, 5713, -5*w^3 + 10*w^2 + 23*w - 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w^2 + 30*w + 1]', '[9753, 9753, 18*w^3 - 26*w^2 - 96*w + 29]', '[9753, 9753, 9*w^3 - 5*w^2 - 54*w - 31]', '[9764, 4882, 2*w^3 - 5*w^2 - 4*w + 11]', '[9764, 4882, -4*w^3 + 3*w^2 + 31*w + 19]', '[9764, 4882, -3*w^3 + 5*w^2 + 7*w + 16]', '[9764, 4882, -5*w^2 + 8*w + 25]', '[9767, 9767, 6*w^3 - 4*w^2 - 35*w - 10]', '[9767, 9767, 12*w^3 - 17*w^2 - 62*w + 6]', '[9767, 9767, -11*w^3 + 8*w^2 + 67*w + 25]', '[9767, 9767, -7*w^3 + 12*w^2 + 32*w - 6]', '[9769, 9769, 6*w^3 - 4*w^2 - 41*w - 10]', '[9769, 9769, 6*w^3 - 8*w^2 - 36*w + 1]', '[9769, 9769, 2*w^3 - 20*w - 7]', '[9769, 9769, -5*w^3 + 8*w^2 + 25*w - 17]', '[9777, 9777, 3*w^3 - 8*w^2 - 9*w + 11]', '[9777, 9777, 4*w^3 - 9*w^2 - 16*w + 12]', '[9783, 3261, -8*w^3 + 2*w^2 + 56*w + 31]', '[9783, 3261, 9*w^3 - 8*w^2 - 50*w - 20]', '[9784, 2446, 7*w^3 - 8*w^2 - 42*w - 3]', '[9784, 2446, -3*w^3 + 22*w + 25]', '[9784, 2446, 5*w^3 - 4*w^2 - 34*w - 11]', '[9784, 2446, 3*w^3 - 2*w^2 - 18*w - 17]', '[9784, 4892, -7*w^2 - 6*w + 11]', '[9784, 4892, -5*w^3 + 2*w^2 + 21*w + 4]', '[9784, 4892, 8*w^3 - 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33*w - 19]', '[9941, 9941, -5*w^3 + 8*w^2 + 29*w - 19]', '[9941, 9941, -4*w^3 + 6*w^2 + 25*w - 16]', '[9948, 4974, 9*w^3 - 9*w^2 - 49*w - 17]', '[9948, 4974, 10*w^3 - 13*w^2 - 57*w + 9]', '[9948, 4974, 2*w^3 + 3*w^2 - 16*w - 25]', '[9948, 4974, -22*w^3 + 35*w^2 + 111*w - 49]', '[9948, 4974, -2*w^3 + w^2 + 11*w - 7]', '[9948, 4974, w^3 + 4*w^2 - 9*w - 8]', '[9948, 4974, -w^3 + w^2 + 9*w - 12]', '[9948, 4974, 3*w^3 + 3*w^2 - 29*w - 19]', '[9949, 9949, -7*w^3 + 10*w^2 + 29*w - 9]', '[9949, 9949, 5*w^3 + 2*w^2 - 42*w - 24]', '[9949, 9949, 2*w^3 + 2*w^2 - 15*w - 12]', '[9949, 9949, -6*w^3 + 6*w^2 + 43*w + 24]', '[9951, 9951, -8*w^3 + 9*w^2 + 46*w - 2]', '[9951, 9951, -8*w^3 + 14*w^2 + 37*w - 10]', '[9951, 9951, -9*w^3 + 14*w^2 + 42*w - 2]', '[9951, 9951, 7*w^3 - 12*w^2 - 28*w + 12]', '[9951, 9951, 5*w^3 - 11*w^2 - 16*w + 13]', '[9951, 9951, -w^3 + 2*w^2 - 3*w + 5]', '[9951, 9951, -4*w^3 + 6*w^2 + 14*w + 11]', '[9951, 9951, -8*w^3 + 10*w^2 + 42*w - 11]', '[9962, 9962, -5*w^3 + 7*w^2 + 28*w + 4]', '[9962, 9962, 3*w^3 - 7*w^2 - 14*w - 2]', '[9962, 9962, -4*w^2 + 7*w + 23]', '[9962, 9962, 2*w^2 - 7*w - 11]', '[9963, 369, 6*w^3 - 48*w - 21]', '[9963, 369, -3*w^3 + 24*w + 6]', '[9967, 9967, 3*w^3 - 3*w^2 - 22*w - 1]', '[9967, 9967, 4*w^3 - 4*w^2 - 27*w - 2]', '[9974, 9974, -8*w^3 + 10*w^2 + 35*w - 15]', '[9974, 9974, 10*w^3 - 13*w^2 - 55*w]', '[9983, 9983, -7*w^3 + 12*w^2 + 28*w + 4]', '[9983, 9983, 6*w^2 - 13*w - 18]', '[9983, 9983, 2*w^3 - 9*w^2 + 6*w + 12]', '[9983, 9983, -4*w^3 + 12*w^2 + w - 8]', '[9987, 9987, -4*w^3 + 8*w^2 + 9*w + 8]', '[9987, 9987, w^3 - 8*w^2 + 12*w + 4]', '[9991, 9991, w^3 + 2*w^2 - 11*w - 23]', '[9991, 9991, -6*w^3 + 4*w^2 + 41*w + 16]', '[9991, 9991, 4*w^2 - 5*w - 10]', '[9991, 9991, 8*w^3 - 10*w^2 - 40*w - 19]', '[9991, 9991, 4*w^3 - 10*w^2 - 17*w + 24]', '[9991, 9991, -w^3 + 7*w^2 - 4*w - 7]', '[9991, 9991, -3*w^3 + 4*w^2 + 17*w + 11]', '[9991, 9991, -w^3 + 5*w^2 + 2*w - 13]', '[9993, 9993, 10*w^3 - 18*w^2 - 46*w + 21]', '[9993, 9993, 6*w^3 - 14*w^2 - 18*w + 11]', '[9998, 9998, 19*w^3 - 11*w^2 - 116*w - 56]', '[9998, 9998, 17*w^3 - 11*w^2 - 100*w - 42]', '[10000, 10, 10]', '[10000, 20, 5*w^2 - 15]', '[10000, 20, -15*w^3 + 25*w^2 + 75*w - 30]'], 'label': '4.4.13068.1', 'narrow_class_no': 2, 'primes': ['[2, 2, w^3 - w^2 - 6*w - 2]', '[3, 3, -w^3 + 2*w^2 + 4*w - 2]', '[4, 2, w^3 - w^2 - 5*w - 2]', '[17, 17, -w^3 + w^2 + 6*w - 1]', '[17, 17, -w + 2]', '[29, 29, -w^3 + 2*w^2 + 4*w - 4]', '[29, 29, w^3 - 2*w^2 - 4*w]', '[31, 31, -w^2 + 2]', '[31, 31, -w^3 + 7*w + 5]', '[41, 41, -2*w^3 + 2*w^2 + 13*w - 2]', '[41, 41, 3*w^3 - 4*w^2 - 17*w + 5]', '[67, 67, 3*w^3 - 4*w^2 - 17*w + 1]', '[67, 67, -w^2 + 4*w + 2]', '[83, 83, 2*w^2 - 5*w - 2]', '[83, 83, -w^3 + 8*w + 6]', '[83, 83, w^3 - 2*w^2 - 2*w - 2]', '[83, 83, w^3 - 2*w^2 - 6*w]', '[97, 97, -3*w^3 + 2*w^2 + 17*w + 7]', '[97, 97, w^3 - 4*w^2 + 3*w + 1]', '[97, 97, -5*w^3 + 8*w^2 + 24*w - 8]', '[97, 97, 2*w^3 - 2*w^2 - 13*w - 4]', '[101, 101, -w^3 + 6*w + 6]', '[101, 101, -w^3 + 6*w + 2]', '[103, 103, -4*w^3 + 3*w^2 + 26*w + 12]', '[103, 103, -w^3 + 2*w^2 + 9*w + 3]', '[107, 107, 2*w^3 - 2*w^2 - 11*w]', '[107, 107, -w^3 + 2*w^2 + 3*w - 3]', '[107, 107, w^3 - w^2 - 4*w - 3]', '[107, 107, 2*w^3 - 3*w^2 - 10*w]', '[121, 11, -2*w^3 + 3*w^2 + 8*w + 2]', '[149, 149, -3*w^3 + 5*w^2 + 14*w - 3]', '[149, 149, -2*w^3 + 4*w^2 + 7*w - 4]', '[157, 157, 2*w^3 - 2*w^2 - 10*w - 1]', '[157, 157, 2*w^3 - 3*w^2 - 8*w + 2]', '[157, 157, 2*w^3 - 2*w^2 - 10*w - 3]', '[157, 157, -3*w^3 + 4*w^2 + 15*w + 1]', '[163, 163, -2*w^2 + 4*w + 5]', '[163, 163, 2*w^3 - 4*w^2 - 10*w + 5]', '[169, 13, 2*w^3 - 3*w^2 - 12*w + 2]', '[169, 13, -w^3 + 9*w + 3]', '[173, 173, 3*w^3 - 2*w^2 - 17*w - 9]', '[173, 173, -2*w^3 + 14*w + 7]', '[197, 197, 2*w^3 - 2*w^2 - 12*w + 1]', '[197, 197, 3*w^3 - 3*w^2 - 18*w - 1]', '[199, 199, 3*w^3 - 4*w^2 - 18*w + 8]', '[199, 199, 4*w^3 - 5*w^2 - 24*w + 6]', '[223, 223, w^3 - 2*w^2 - 3*w - 3]', '[223, 223, 2*w^3 - 3*w^2 - 10*w + 6]', '[227, 227, -w^3 + 2*w^2 + 6*w - 8]', '[227, 227, 3*w + 4]', '[227, 227, 3*w^3 - 3*w^2 - 18*w - 7]', '[227, 227, -2*w^3 + 3*w^2 + 12*w - 6]', '[229, 229, -w - 4]', '[229, 229, w^2 - 2*w + 2]', '[229, 229, -w^3 + w^2 + 6*w + 5]', '[229, 229, -w^3 + 2*w^2 + 5*w - 7]', '[233, 233, -2*w^3 + 3*w^2 + 8*w - 4]', '[233, 233, -3*w^3 + 4*w^2 + 15*w + 3]', '[281, 281, -2*w^3 + 3*w^2 + 10*w + 2]', '[281, 281, -w^3 + 2*w^2 + 3*w - 5]', '[289, 17, -2*w^3 + 2*w^2 + 14*w + 5]', '[293, 293, w^2 - 6]', '[293, 293, w^3 - 7*w - 1]', '[331, 331, -6*w^3 + 10*w^2 + 27*w - 6]', '[331, 331, 2*w^3 - 2*w^2 - 12*w - 7]', '[347, 347, 3*w^3 - 2*w^2 - 18*w - 6]', '[347, 347, -4*w^3 + 2*w^2 + 23*w + 10]', '[347, 347, 2*w^3 - 6*w^2 - w + 4]', '[347, 347, -4*w^3 + 3*w^2 + 24*w + 8]', '[359, 359, -3*w^3 + 4*w^2 + 17*w + 1]', '[359, 359, w^2 - 4*w - 4]', '[359, 359, w^3 - 8*w]', '[359, 359, -w^3 + 2*w^2 + 6*w - 6]', '[367, 367, 2*w^2 - 3*w - 4]', '[367, 367, -w^3 + 3*w^2 + 4*w - 7]', '[379, 379, 3*w^3 - 3*w^2 - 16*w - 3]', '[379, 379, 2*w^3 - 2*w^2 - 9*w - 2]', '[461, 461, -2*w^3 + 5*w^2 + 2*w + 2]', '[461, 461, 4*w^3 - 4*w^2 - 26*w - 11]', '[463, 463, -2*w^3 + 13*w + 8]', '[463, 463, -w^3 - w^2 + 6*w + 7]', '[487, 487, 2*w^3 - 17*w - 8]', '[487, 487, -w^3 + 10*w + 4]', '[491, 491, -5*w^3 + 3*w^2 + 30*w + 13]', '[491, 491, -5*w^3 + 4*w^2 + 28*w + 14]', '[491, 491, 3*w^3 - 8*w^2 - 4*w + 4]', '[491, 491, 7*w^3 - 12*w^2 - 33*w + 15]', '[499, 499, -2*w^3 + 2*w^2 + 12*w - 5]', '[499, 499, 2*w^2 - 7*w]', '[529, 23, -w^3 + 3*w^2 + 4*w - 5]', '[529, 23, 2*w^2 - 3*w - 6]', '[557, 557, -2*w^3 + 3*w^2 + 12*w + 4]', '[557, 557, w^3 - 9*w - 9]', '[569, 569, 4*w^3 - 5*w^2 - 22*w + 4]', '[569, 569, -3*w^3 + 2*w^2 + 20*w + 4]', '[577, 577, 3*w^3 - 3*w^2 - 20*w + 3]', '[577, 577, -4*w^3 + 8*w^2 + 16*w - 9]', '[577, 577, 7*w^3 - 11*w^2 - 34*w + 9]', '[577, 577, -4*w^3 + 6*w^2 + 22*w - 11]', '[593, 593, -6*w^3 + 10*w^2 + 29*w - 14]', '[593, 593, -w^3 + 4*w^2 - w - 7]', '[619, 619, -3*w^3 + 5*w^2 + 12*w - 1]', '[619, 619, -4*w^3 + 8*w^2 + 18*w - 15]', '[625, 5, -5]', '[631, 631, -3*w^3 + 8*w^2 + 6*w - 4]', '[631, 631, -2*w^3 + 8*w^2 - 3*w - 8]', '[643, 643, 3*w^3 - 4*w^2 - 14*w + 2]', '[643, 643, -3*w^3 + 4*w^2 + 14*w + 2]', '[661, 661, w^3 - 8*w - 10]', '[661, 661, -3*w^3 + 2*w^2 + 21*w + 3]', '[661, 661, w^3 - 2*w^2 - 6*w - 4]', '[661, 661, 2*w^3 - 3*w^2 - 14*w + 4]', '[677, 677, -9*w^3 + 12*w^2 + 50*w - 10]', '[677, 677, 3*w^3 - 4*w^2 - 17*w - 7]', '[691, 691, 3*w^3 - 2*w^2 - 21*w - 9]', '[691, 691, 2*w^3 - 3*w^2 - 14*w - 2]', '[701, 701, -9*w^3 + 13*w^2 + 48*w - 15]', '[701, 701, 2*w^3 - 6*w^2 + w - 2]', '[709, 709, 2*w^2 - 2*w - 5]', '[709, 709, 2*w^2 - 2*w - 7]', '[709, 709, 4*w^3 - 5*w^2 - 20*w - 4]', '[709, 709, -3*w^3 + 6*w^2 + 14*w - 10]', '[727, 727, 7*w^3 - 10*w^2 - 36*w + 8]', '[727, 727, 3*w^2 - 6*w - 8]', '[743, 743, 9*w^3 - 12*w^2 - 51*w + 13]', '[743, 743, w^3 - 2*w^2 - w - 5]', '[743, 743, -4*w^3 + 4*w^2 + 27*w - 8]', '[743, 743, -3*w^3 + 4*w^2 + 21*w + 9]', '[751, 751, -w^3 + 10*w + 2]', '[751, 751, 3*w^3 - 4*w^2 - 18*w + 2]', '[761, 761, 4*w^3 - 4*w^2 - 23*w - 2]', '[761, 761, -3*w^3 + 2*w^2 + 19*w + 5]', '[809, 809, -3*w^3 + 5*w^2 + 10*w + 5]', '[809, 809, -w^3 - w^2 + 10*w + 3]', '[821, 821, -w^3 + 3*w^2 + 2*w - 9]', '[821, 821, 2*w^2 - 4*w - 9]', '[823, 823, w^3 - 6*w^2 + 9*w + 1]', '[823, 823, -3*w^3 + 2*w^2 + 15*w + 5]', '[827, 827, 3*w^3 - 3*w^2 - 18*w + 1]', '[827, 827, 2*w^3 - 16*w - 11]', '[827, 827, 3*w^3 - 24*w - 14]', '[827, 827, 3*w - 4]', '[829, 829, w^2 - 6*w - 2]', '[829, 829, 2*w^3 - 2*w^2 - 10*w - 9]', '[829, 829, 5*w^3 - 6*w^2 - 29*w - 1]', '[829, 829, w^3 + 2*w^2 - 14*w - 6]', '[841, 29, -2*w^3 + 2*w^2 + 14*w + 3]', '[857, 857, -3*w^3 + 6*w^2 + 11*w - 7]', '[857, 857, -4*w^3 + 7*w^2 + 18*w - 4]', '[859, 859, -w^3 + w^2 + 6*w - 5]', '[859, 859, w - 6]', '[883, 883, 5*w^3 - 5*w^2 - 26*w - 11]', '[883, 883, -3*w^3 + 3*w^2 + 14*w + 5]', '[887, 887, 5*w^3 - 2*w^2 - 34*w - 16]', '[887, 887, -w^3 + 4*w^2 - 10]', '[887, 887, 4*w^3 - 2*w^2 - 26*w - 11]', '[887, 887, 2*w^3 - 8*w^2 + 4*w + 7]', '[907, 907, 6*w^3 - 8*w^2 - 34*w + 7]', '[907, 907, -w^3 + w^2 + 8*w - 7]', '[941, 941, 2*w^3 - 2*w^2 - 8*w - 5]', '[941, 941, -3*w^3 + 23*w + 11]', '[953, 953, 2*w^3 - 10*w - 3]', '[953, 953, -4*w^3 + 2*w^2 + 24*w + 15]', '[961, 31, -2*w^3 + 2*w^2 + 14*w - 7]', '[991, 991, -3*w^3 + 4*w^2 + 13*w + 3]', '[991, 991, 4*w^3 - 5*w^2 - 20*w + 2]']}
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nf_fields • Show schema
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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -1, -6, -1, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 13068, 'disc_rad': 66, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[4, 1]]], [7, [[4, 1]]], [11, [0]], [13, [[2, 2]]], [17, [[2, 1], [1, 2]]], [19, [[4, 1]]], [23, [[2, 2]]], [29, [[2, 1], [1, 2]]], [31, [[2, 1], [1, 2]]], [37, [[2, 2]]], [41, [[2, 1], [1, 2]]], [43, [[4, 1]]], [47, [[2, 2]]], [53, [[4, 1]]], [59, [[2, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [8, 6, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 15.120539229772588, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '4.4.13068.1', 'local_algs': ['2.2.2.1', '2.2.0.1', '3.4.3.1', '11.4.2.1'], 'minimal_sibling': [1, 4, -3, -2, 1], 'monogenic': 1, 'num_ram': 3, 'r2': 0, 'ramps': [2, 3, 11], 'rd': 10.6918358246, 'regulator': {'__RealLiteral__': 0, 'data': '10.7707732516', 'prec': 44}, 'res': {'gal': ['1,0,-11,0,24,0,-11,0,1'], 'sib': ['1,4,-3,-2,1', '1,0,-11,0,24,0,-11,0,1']}, 'subfield_mults': [1], 'subfields': ['-8.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{3} - 2 a^{2} - 3 a - 1 \\)', '\\( a^{3} - 5 a - 3 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}