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hmf_forms • Show schema
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{'deg': 5, 'dimension': 2, 'disc': 160801, 'field_bad_primes': [401], 'field_label': '5.5.160801.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '5.5.160801.1-27.2-b', 'label_nsuffix': 1, 'label_suffix': 'b', 'level_bad_primes': [3], 'level_ideal': '[27, 3, -w^3 + w^2 + 3*w - 2]', 'level_label': '27.2', 'level_norm': 27, 'parallel_weight': 2, 'short_label': '27.2-b', 'weight': '[2, 2, 2, 2, 2]'}
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hmf_hecke • Show schema
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{'AL_eigenvalues': [['[3, 3, w^4 - w^3 - 5*w^2 + 3*w + 3]', 1], ['[9, 3, -w^4 + w^3 + 5*w^2 - 3*w - 2]', 1]], 'hecke_eigenvalues': [-1, -1, -1, 'e', 1, 'e - 4', '-e + 2', '2*e + 1', 'e + 6', '-2*e - 10', 4, '-2*e + 2', 12, '-2*e - 10', '2*e + 8', '2*e + 8', '4*e + 7', '-3*e - 2', '-3*e - 12', '4*e + 6', 'e', '-6*e - 14', '-4*e', '-2*e - 2', '5*e + 6', '-2*e + 4', '2*e - 12', 3, '-6*e - 16', '2*e + 12', '-2*e - 13', '2*e + 8', '-2*e - 16', '-4*e - 23', '8*e + 10', '-2*e - 12', '-3*e - 8', '-2*e - 19', '-4*e + 2', '-4*e - 16', '-4*e - 14', '-9*e - 24', '-6*e - 24', '4*e - 7', 12, '2*e - 12', '10*e + 20', '4*e - 8', '-3*e - 18', '-4*e - 22', '3*e - 8', '10*e + 18', '-8*e - 16', '2*e + 8', '2*e - 5', '-3*e', '-2*e - 6', '-2*e - 24', '11*e + 24', '2*e + 16', '-6*e + 1', 18, '4*e + 18', '-4*e + 4', 1, '-2*e - 14', '-3*e - 2', '4*e - 8', '-2*e - 31', '-8*e - 10', '2*e - 24', '8*e + 8', '4*e', '10*e + 12', '-10*e - 12', '-11*e - 24', '4*e + 28', '-8*e - 26', '-2*e - 13', '4*e + 26', 4, '-4*e + 8', 6, '-12*e - 26', 24, '-2*e - 20', '-12*e - 33', '8*e + 3', '-9*e - 14', '14*e + 26', '-8*e - 2', '6*e - 12', 12, '4*e + 30', '-2*e - 5', '-8*e - 24', -18, '-2*e + 20', '-4*e - 35', '-3*e + 6', '10*e + 25', '-2*e - 16', '12*e + 17', '-6*e + 12', '14*e + 28', '6*e - 10', 8, '-8*e + 7', '8*e', '3*e + 6', '8*e + 14', '-4*e - 10', 'e - 22', '4*e + 8', '4*e - 4', '5*e + 8', '4*e + 8', '10*e + 28', '-4*e - 8', '-6*e + 10', '-12*e - 15', '-10*e - 32', '11*e + 40', '-9*e - 2', '-6*e - 6', '4*e + 30', '-6*e + 8', 30, '12*e + 18', '-2*e - 19', '6*e + 2', '2*e - 4', '-8*e - 28', 42, '10*e + 6', '4*e - 14', '-11*e - 38', '-13*e - 30', '2*e - 38', '-6*e - 33', '4*e - 12', '2*e - 9', '12*e + 9', -18, '-6*e - 39', '-2*e + 38', '-e + 34', '-2*e + 10', -15, '10*e + 30', '-17*e - 32', '-12*e - 15', '-2*e - 25', '2*e + 52', '6*e + 42', '-18*e - 32', '12*e - 1', '-4*e + 4', '-4*e + 4', 'e + 10', '13*e + 18', '-16*e - 26', '-11*e - 42', '8*e + 44', '-7*e - 18', '10*e - 3'], 'hecke_polynomial': 'x^2 + 4*x - 3', 'label': '5.5.160801.1-27.2-b'}
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hmf_fields • Show schema
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{'degree': 5, 'discriminant': 160801, 'ideals': ['[1, 1, 1]', '[3, 3, w^4 - w^3 - 5*w^2 + 3*w + 3]', '[9, 3, -w^4 + 5*w^2 - 3]', '[9, 3, -w^4 + w^3 + 5*w^2 - 3*w - 2]', '[9, 9, w^2 - w - 2]', '[13, 13, -w^4 + w^3 + 4*w^2 - 3*w - 1]', '[17, 17, w^4 - w^3 - 5*w^2 + 3*w + 1]', '[19, 19, -w^3 + w^2 + 4*w - 2]', '[23, 23, -w^2 + 3]', '[27, 3, -w^4 + w^3 + 4*w^2 - 2*w - 1]', '[27, 3, -w^3 + w^2 + 3*w - 2]', '[27, 27, w^4 - w^3 - 5*w^2 + 4*w + 1]', '[31, 31, w^3 - 4*w + 2]', '[32, 2, 2]', '[37, 37, w^3 - 3*w - 1]', '[39, 39, -w^4 + 5*w^2 - w - 2]', '[51, 51, w^3 - 5*w + 2]', '[53, 53, -2*w^4 + w^3 + 9*w^2 - 3*w - 2]', '[57, 57, -w^4 + w^3 + 5*w^2 - 5*w - 2]', '[59, 59, -w^4 + 5*w^2 + w - 4]', '[61, 61, -w^4 + w^3 + 5*w^2 - 4*w]', '[67, 67, -w^4 + 6*w^2 + 2*w - 4]', '[69, 69, -2*w^4 + w^3 + 9*w^2 - 2*w - 2]', '[71, 71, 2*w^4 - w^3 - 9*w^2 + 4*w + 5]', '[79, 79, 2*w^4 - w^3 - 10*w^2 + 2*w + 7]', '[81, 3, 2*w^4 - w^3 - 9*w^2 + 2*w + 1]', '[81, 9, w^4 - 2*w^3 - 4*w^2 + 7*w + 1]', '[81, 9, -w^4 + 6*w^2 - 4]', '[81, 9, 2*w^4 - w^3 - 10*w^2 + 4*w + 5]', '[81, 9, -w^4 - w^3 + 5*w^2 + 5*w - 3]', '[81, 81, w^4 - w^3 - 5*w^2 + 2*w + 2]', '[83, 83, -w^4 + 2*w^3 + 5*w^2 - 7*w - 2]', '[83, 83, -w^4 + w^3 + 4*w^2 - 3*w + 3]', '[83, 83, w^4 - w^3 - 5*w^2 + 4*w - 1]', '[83, 83, -w^4 + w^3 + 4*w^2 - 4*w - 2]', '[83, 83, -2*w^4 + w^3 + 9*w^2 - 3*w - 5]', '[93, 93, -2*w^4 + w^3 + 9*w^2 - 4*w - 4]', '[96, 6, 2*w^4 - 2*w^3 - 10*w^2 + 6*w + 6]', '[97, 97, -w^4 - w^3 + 6*w^2 + 4*w - 4]', '[101, 101, -w^4 + 4*w^2 + 2*w - 2]', '[107, 107, -2*w^4 + w^3 + 11*w^2 - 3*w - 7]', '[111, 111, -2*w^4 + w^3 + 9*w^2 - 3*w - 6]', '[117, 39, w^4 - w^3 - 5*w^2 + 5*w + 3]', '[117, 39, -w^2 - w + 4]', '[117, 117, w^3 - 2*w + 2]', '[127, 127, w^3 - w^2 - 4*w]', '[131, 131, w^4 - w^3 - 4*w^2 + 2*w - 1]', '[137, 137, w^4 - w^3 - 6*w^2 + 3*w + 3]', '[139, 139, -2*w^4 + w^3 + 9*w^2 - 3*w + 1]', '[153, 51, w^4 - 5*w^2 - 2*w + 3]', '[153, 51, 2*w^4 - 10*w^2 + 3]', '[153, 153, -2*w^4 + w^3 + 9*w^2 - 3*w - 3]', '[157, 157, 2*w^4 - w^3 - 9*w^2 + 4*w + 2]', '[159, 159, -w^4 + w^3 + 6*w^2 - 3*w - 7]', '[163, 163, -w^2 - 2*w + 3]', '[167, 167, w^4 - 5*w^2 + 2*w + 1]', '[169, 13, -2*w^4 + 2*w^3 + 9*w^2 - 7*w - 5]', '[169, 13, w^4 - 2*w^3 - 5*w^2 + 8*w + 2]', '[169, 169, -w^4 + 5*w^2 + 2*w - 4]', '[171, 57, w^4 - 2*w^3 - 4*w^2 + 9*w]', '[171, 57, -w^4 + 4*w^2 + 2]', '[171, 171, -w^4 + w^3 + 4*w^2 - 4*w - 3]', '[177, 177, -3*w^4 + 3*w^3 + 15*w^2 - 10*w - 10]', '[183, 183, -4*w^4 + 2*w^3 + 21*w^2 - 8*w - 14]', '[191, 191, 2*w^4 - w^3 - 9*w^2 + 3*w + 4]', '[193, 193, 2*w^4 - 2*w^3 - 8*w^2 + 7*w]', '[199, 199, -w^4 + 2*w^3 + 5*w^2 - 9*w - 3]', '[201, 201, -3*w^4 + 2*w^3 + 14*w^2 - 9*w - 9]', '[207, 69, w^4 - w^3 - 6*w^2 + 2*w + 2]', '[207, 69, w^4 - 2*w^3 - 4*w^2 + 6*w + 3]', '[207, 207, -w^4 + w^3 + 5*w^2 - 3*w - 6]', '[211, 211, -3*w^4 + w^3 + 13*w^2 - 2*w - 1]', '[213, 213, 4*w^4 - 4*w^3 - 22*w^2 + 12*w + 17]', '[221, 221, w^4 - w^3 - 3*w^2 + 4*w - 3]', '[227, 227, 2*w^3 - w^2 - 9*w + 1]', '[233, 233, -w^3 + w^2 + 4*w + 1]', '[237, 237, 6*w^4 - 5*w^3 - 30*w^2 + 17*w + 21]', '[243, 3, 3]', '[243, 9, -w^3 - w^2 + 5*w + 2]', '[243, 9, w^4 - 2*w^3 - 5*w^2 + 8*w + 1]', '[243, 27, -w^4 + 2*w^3 + 5*w^2 - 7*w - 3]', '[243, 27, -w^3 + w^2 + 3*w - 5]', '[243, 243, -2*w^4 + 2*w^3 + 8*w^2 - 5*w - 3]', '[247, 247, 2*w^2 + w - 3]', '[249, 249, -3*w^4 + 3*w^3 + 15*w^2 - 10*w - 7]', '[249, 249, -w^4 + 2*w^3 + 4*w^2 - 5*w]', '[249, 249, -4*w^4 + 4*w^3 + 21*w^2 - 12*w - 16]', '[249, 249, -3*w^4 + w^3 + 15*w^2 - 4*w - 12]', '[249, 249, -2*w^4 + 2*w^3 + 11*w^2 - 5*w - 9]', '[251, 251, -3*w^4 + 14*w^2 + w - 2]', '[257, 257, -2*w^4 + 2*w^3 + 10*w^2 - 6*w - 5]', '[257, 257, -w^4 + w^3 + 5*w^2 - 6*w - 1]', '[257, 257, 2*w^4 - 2*w^3 - 11*w^2 + 9*w + 9]', '[257, 257, -2*w^4 + 2*w^3 + 9*w^2 - 6*w - 3]', '[257, 257, 2*w^4 - w^3 - 10*w^2 + 5*w + 5]', '[269, 269, -w^4 + 2*w^3 + 4*w^2 - 6*w - 2]', '[271, 271, -w^4 + 4*w^2 + w - 3]', '[277, 277, -2*w^4 + 9*w^2 + w - 4]', '[279, 93, w^4 + w^3 - 4*w^2 - 6*w]', '[279, 93, -w^3 + 2*w - 3]', '[279, 279, -w^4 + 4*w^2 + 2*w + 2]', '[281, 281, w^4 - w^3 - 3*w^2 + 3*w - 4]', '[283, 283, 2*w^4 - 3*w^3 - 8*w^2 + 13*w]', '[288, 6, -2*w^4 + 10*w^2 - 6]', '[288, 6, -2*w^4 + 2*w^3 + 10*w^2 - 6*w - 4]', '[288, 18, 2*w^2 - 2*w - 4]', '[289, 17, -w^4 + w^3 + 7*w^2 - 5*w - 5]', '[289, 17, 4*w^4 - 3*w^3 - 19*w^2 + 11*w + 6]', '[289, 289, -w^4 - w^3 + 6*w^2 + 5*w - 3]', '[291, 291, -2*w^4 + 2*w^3 + 11*w^2 - 9*w - 7]', '[293, 293, -2*w^4 + 11*w^2 - 7]', '[299, 299, w^4 - 5*w^2 - w - 1]', '[303, 303, -w^4 + 2*w^3 + 4*w^2 - 5*w - 3]', '[317, 317, w^3 - 6*w]', '[321, 321, -6*w^4 + 4*w^3 + 31*w^2 - 16*w - 22]', '[323, 323, w^4 - 2*w^3 - 5*w^2 + 7*w + 4]', '[333, 111, 2*w^4 - 9*w^2 + 5]', '[333, 111, 2*w^4 - w^3 - 11*w^2 + 2*w + 5]', '[333, 333, -2*w^2 + 4*w + 3]', '[337, 337, -w^4 + 2*w^3 + 5*w^2 - 9*w - 1]', '[337, 337, w^4 - 2*w^3 - 5*w^2 + 6*w + 3]', '[337, 337, -w^4 + w^3 + 5*w^2 - 4*w - 6]', '[337, 337, -2*w^3 + 8*w + 1]', '[337, 337, w^2 + w - 5]', '[347, 347, -2*w^4 + w^3 + 9*w^2 - 5*w - 3]', '[349, 349, 3*w^4 - 2*w^3 - 13*w^2 + 8*w + 2]', '[351, 39, -2*w^3 + w^2 + 7*w - 5]', '[351, 39, -2*w^4 + w^3 + 10*w^2 - 4*w - 2]', '[351, 351, w^4 + w^3 - 6*w^2 - 4*w + 5]', '[353, 353, w^4 - 3*w^3 - 4*w^2 + 12*w + 2]', '[359, 359, 2*w^3 - w^2 - 7*w + 3]', '[361, 19, w^4 - 2*w^3 - 4*w^2 + 7*w + 3]', '[361, 19, w^4 - w^3 - 3*w^2 + 3*w - 3]', '[361, 361, -2*w^4 + w^3 + 8*w^2 - 4*w - 1]', '[367, 367, -2*w^4 + w^3 + 9*w^2 - w - 2]', '[379, 379, -2*w^3 + w^2 + 7*w + 2]', '[379, 379, -2*w^4 + w^3 + 10*w^2 - 4*w]', '[379, 379, 2*w^3 - w^2 - 6*w - 2]', '[379, 379, -2*w^3 + 2*w^2 + 6*w - 3]', '[379, 379, -3*w^4 + 2*w^3 + 14*w^2 - 7*w - 6]', '[381, 381, -w^4 + w^3 + 5*w^2 - w - 4]', '[383, 383, 2*w^4 + w^3 - 10*w^2 - 7*w + 4]', '[383, 383, -2*w^3 + w^2 + 10*w]', '[383, 383, w^3 + w^2 - 5*w - 1]', '[383, 383, 3*w^4 + 3*w^3 - 15*w^2 - 15*w + 4]', '[383, 383, -2*w^4 + 3*w^3 + 10*w^2 - 10*w - 2]', '[389, 389, 3*w^4 - w^3 - 14*w^2 + 3*w + 3]', '[391, 391, w^3 + w^2 - 6*w - 1]', '[393, 393, -w^4 + w^3 + 6*w^2 - 4*w - 2]', '[397, 397, w^4 - 6*w^2 - 2*w + 5]', '[397, 397, w^4 - 2*w^3 - 2*w^2 + 6*w - 5]', '[397, 397, 2*w^4 - 2*w^3 - 11*w^2 + 10*w + 6]', '[397, 397, w^4 - w^3 - 3*w^2 + 4*w - 6]', '[397, 397, w^3 + w^2 - 3*w - 4]', '[401, 401, w^3 - w^2 - 6*w + 3]', '[401, 401, -w^4 + 4*w^2 + 2*w - 3]', '[401, 401, -w^4 + 6*w^2 - w - 7]', '[403, 403, 2*w^4 - 2*w^3 - 9*w^2 + 6*w + 1]', '[411, 411, 3*w^4 - w^3 - 15*w^2 + 6*w + 11]', '[416, 26, -2*w^4 + 2*w^3 + 8*w^2 - 6*w - 2]', '[417, 417, -4*w^4 + 3*w^3 + 19*w^2 - 9*w - 12]', '[421, 421, -w^4 - w^3 + 5*w^2 + 5*w - 4]', '[421, 421, -w^4 + w^3 + 6*w^2 - 3*w - 2]', '[421, 421, -w^4 - w^3 + 6*w^2 + 6*w - 5]', '[421, 421, 3*w^4 - w^3 - 15*w^2 + w + 10]', '[421, 421, 2*w^4 - 9*w^2 + 2*w + 4]', '[431, 431, 2*w^4 - 11*w^2 - 2*w + 11]', '[437, 437, -2*w^3 + w^2 + 9*w - 5]', '[439, 439, 2*w^4 - 3*w^3 - 9*w^2 + 10*w + 6]', '[443, 443, -3*w^4 + 2*w^3 + 14*w^2 - 7*w - 2]', '[449, 449, -w^4 + 2*w^3 + 5*w^2 - 6*w - 4]', '[459, 51, 2*w^4 - 2*w^3 - 9*w^2 + 7*w + 6]', '[459, 51, w^4 - w^3 - 4*w^2 + 2*w - 2]', '[459, 459, -2*w^4 + 2*w^3 + 11*w^2 - 6*w - 10]', '[461, 461, 3*w^4 - 4*w^3 - 14*w^2 + 14*w + 5]', '[463, 463, w^3 - 6*w - 1]', '[467, 467, 3*w^4 - 3*w^3 - 13*w^2 + 10*w]', '[471, 471, w^4 - w^3 - 7*w^2 + 3*w + 8]', '[477, 159, 4*w^4 - 3*w^3 - 21*w^2 + 9*w + 16]', '[477, 159, -2*w^4 + 2*w^3 + 10*w^2 - 7*w - 3]', '[477, 477, -7*w^4 + 5*w^3 + 35*w^2 - 18*w - 23]', '[481, 481, w^4 - w^3 - 4*w^2 + 3]', '[487, 487, 3*w^4 - w^3 - 14*w^2 + w + 3]', '[487, 487, 2*w^2 - w - 4]', '[487, 487, -2*w^4 + 2*w^3 + 9*w^2 - 8*w - 5]', '[487, 487, 2*w^4 - 10*w^2 - 3*w + 4]', '[487, 487, -2*w^4 + w^3 + 8*w^2 - 3*w - 1]', '[489, 489, 3*w^4 - 2*w^3 - 13*w^2 + 8*w + 7]', '[499, 499, -w^4 + 2*w^3 + 4*w^2 - 8*w - 2]', '[499, 499, -2*w^4 + w^3 + 10*w^2 - w - 9]', '[499, 499, -w^3 - 2*w^2 + 2*w + 5]', '[499, 499, -w^4 + 4*w^2 + 4*w]', '[499, 499, -2*w^4 + w^3 + 12*w^2 - 4*w - 9]', '[501, 501, -3*w^2 + w + 4]', '[507, 39, -5*w^4 + 4*w^3 + 26*w^2 - 12*w - 20]', '[507, 39, -3*w^4 + w^3 + 16*w^2 - 4*w - 13]', '[507, 507, 2*w^4 - 4*w^3 - 8*w^2 + 15*w - 1]', '[509, 509, 3*w^4 - 2*w^3 - 16*w^2 + 6*w + 9]', '[513, 57, 3*w^4 - 2*w^3 - 14*w^2 + 7*w + 7]', '[513, 57, -w^4 + 2*w^3 + 5*w^2 - 5*w - 1]', '[513, 513, w^4 + w^3 - 4*w^2 - 3*w + 4]', '[521, 521, -2*w^4 + w^3 + 10*w^2 - 5*w - 4]', '[523, 523, w - 4]', '[527, 527, 2*w^3 - 2*w^2 - 7*w + 5]', '[529, 23, -w^3 + 2*w^2 + 4*w - 4]', '[529, 23, w^4 + 2*w^3 - 6*w^2 - 11*w + 4]', '[529, 529, -w^4 + w^3 + 4*w^2 - 6*w - 1]', '[531, 177, 2*w^4 - 3*w^3 - 10*w^2 + 11*w + 6]', '[531, 177, w^4 - w^3 - 6*w^2 + 5*w + 8]', '[531, 531, 2*w^4 - 12*w^2 + w + 8]', '[544, 34, 2*w^4 - 2*w^3 - 10*w^2 + 6*w + 2]', '[549, 183, 4*w^4 - w^3 - 20*w^2 + 3*w + 11]', '[549, 183, 5*w^4 - 2*w^3 - 25*w^2 + 4*w + 12]', '[549, 549, w^4 - 3*w^3 - 4*w^2 + 10*w + 7]', '[569, 569, -2*w^4 + 11*w^2 - 10]', '[571, 571, -2*w^4 + w^3 + 10*w^2 - 3*w - 2]', '[573, 573, 3*w^4 - 3*w^3 - 16*w^2 + 9*w + 13]', '[579, 579, -w^2 - 2*w + 5]', '[589, 589, -2*w^4 + 11*w^2 + w - 6]', '[593, 593, -2*w^4 + 3*w^3 + 10*w^2 - 11*w - 8]', '[597, 597, -4*w^4 + 2*w^3 + 22*w^2 - 7*w - 17]', '[603, 201, -w^4 - 2*w^3 + 2*w^2 + 7*w + 6]', '[603, 201, 2*w^4 - 2*w^3 - 8*w^2 + 11*w + 5]', '[603, 603, 3*w^4 - 15*w^2 - w + 8]', '[608, 38, -2*w^3 + 2*w^2 + 8*w - 4]', '[613, 613, -2*w^3 + 2*w^2 + 9*w - 5]', '[617, 617, -2*w^4 + 10*w^2 - w - 7]', '[621, 69, -2*w^4 + w^3 + 10*w^2 - 5*w - 3]', '[621, 69, -w^3 + w^2 + 6*w - 5]', '[621, 621, 3*w^4 - 3*w^3 - 13*w^2 + 11*w + 3]', '[629, 629, -2*w^4 - w^3 + 9*w^2 + 3*w - 4]', '[631, 631, -2*w^4 + 2*w^3 + 7*w^2 - 8*w + 3]', '[633, 633, w^4 - 4*w^2 + w - 2]', '[639, 213, -2*w^4 + 3*w^3 + 13*w^2 - 8*w - 12]', '[639, 213, -4*w^4 + 2*w^3 + 19*w^2 - 10*w - 13]', '[639, 639, -3*w^4 + 2*w^3 + 17*w^2 - 8*w - 11]', '[641, 641, -2*w^4 + 2*w^3 + 8*w^2 - 9*w + 3]', '[643, 643, -3*w^4 + w^3 + 13*w^2 - w + 1]', '[643, 643, w^4 + w^3 - 3*w^2 - 6*w - 2]', '[643, 643, -w^4 - w^3 + 6*w^2 + 3*w - 4]', '[643, 643, 2*w^4 - w^3 - 10*w^2 + 4*w + 1]', '[643, 643, 2*w^4 - 2*w^3 - 8*w^2 + 6*w + 5]', '[647, 647, -2*w^3 + w^2 + 6*w - 4]', '[659, 659, 4*w^4 - 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11*w - 19]', '[771, 771, -w^4 + 8*w^2 - w - 8]', '[771, 771, 9*w^4 - 6*w^3 - 48*w^2 + 22*w + 34]', '[771, 771, -3*w^4 + 2*w^3 + 15*w^2 - 6*w - 13]', '[771, 771, 4*w^4 - 3*w^3 - 23*w^2 + 11*w + 18]', '[787, 787, w^4 + w^3 - 7*w^2 - 3*w + 5]', '[793, 793, 2*w^4 - 12*w^2 + w + 7]', '[797, 797, -2*w^4 - w^3 + 10*w^2 + 4*w - 4]', '[797, 797, w^4 - 3*w^3 - 5*w^2 + 12*w + 5]', '[797, 797, -3*w^4 + 2*w^3 + 13*w^2 - 8*w]', '[797, 797, -w^4 + w^3 + 3*w^2 - 5*w - 1]', '[797, 797, 2*w^4 - 11*w^2 + 2*w + 7]', '[807, 807, -3*w^4 + 2*w^3 + 14*w^2 - 5*w - 11]', '[809, 809, -4*w^4 + 2*w^3 + 18*w^2 - 6*w + 1]', '[809, 809, 3*w^4 - 3*w^3 - 14*w^2 + 11*w + 8]', '[809, 809, w^4 - 2*w^3 - 2*w^2 + 8*w - 4]', '[809, 809, 2*w^4 - 8*w^2 - 2*w + 3]', '[809, 809, 2*w^4 - 3*w^3 - 9*w^2 + 13*w + 4]', '[813, 813, -2*w^4 + 3*w^3 + 10*w^2 - 8*w - 7]', '[821, 821, -2*w^4 + 2*w^3 + 8*w^2 - 6*w + 3]', '[823, 823, -2*w^4 + 3*w^3 + 8*w^2 - 12*w - 1]', '[829, 829, 2*w^4 - 3*w^3 - 10*w^2 + 13*w + 4]', '[831, 831, -2*w^4 + 3*w^3 + 11*w^2 - 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5]', '[1411, 1411, -5*w^4 + 5*w^3 + 23*w^2 - 16*w - 1]', '[1413, 471, -w^4 + 2*w^3 + 4*w^2 - 10*w - 4]', '[1413, 471, w^4 - 2*w^2 + w - 6]', '[1413, 1413, -3*w^4 + 2*w^3 + 14*w^2 - 5*w - 5]', '[1431, 159, 6*w^4 - 4*w^3 - 29*w^2 + 15*w + 16]', '[1431, 159, 5*w^4 - 3*w^3 - 27*w^2 + 9*w + 19]', '[1431, 1431, 3*w^4 - 2*w^3 - 17*w^2 + 9*w + 15]', '[1433, 1433, -2*w^4 - w^3 + 10*w^2 + 4*w - 6]', '[1439, 1439, -3*w^4 + 3*w^3 + 13*w^2 - 13*w]', '[1443, 1443, w^4 - 8*w^2 + 4]', '[1447, 1447, -3*w^4 + 3*w^3 + 13*w^2 - 9*w - 3]', '[1451, 1451, -3*w^4 - w^3 + 15*w^2 + 4*w - 5]', '[1461, 1461, -4*w^4 + 2*w^3 + 21*w^2 - 10*w - 13]', '[1461, 1461, -5*w^4 + 4*w^3 + 27*w^2 - 12*w - 21]', '[1461, 1461, w^4 - w^3 - 5*w^2 + 4*w + 7]', '[1461, 1461, 2*w^4 - 2*w^3 - 9*w^2 + 8*w + 7]', '[1461, 1461, -w^3 - w^2 + w + 4]', '[1467, 489, w^3 + 3*w^2 - 2*w - 6]', '[1467, 489, -3*w^4 + 2*w^3 + 12*w^2 - 10*w - 4]', '[1467, 1467, -w^4 - w^3 + 7*w^2 + w - 6]', '[1471, 1471, 2*w^4 - 2*w^3 - 6*w^2 + 3*w - 2]', '[1481, 1481, w^4 - 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6*w - 2]', '[1741, 1741, -3*w^3 + 14*w]', '[1747, 1747, -2*w^4 - w^3 + 9*w^2 + 6*w - 4]', '[1759, 1759, 4*w^4 - 4*w^3 - 17*w^2 + 13*w + 3]', '[1767, 1767, w^4 - 3*w^3 - 5*w^2 + 12*w + 1]', '[1779, 1779, -9*w^4 + 6*w^3 + 46*w^2 - 20*w - 33]', '[1781, 1781, 3*w^2 - w - 5]', '[1789, 1789, -4*w^4 + 3*w^3 + 21*w^2 - 8*w - 12]', '[1791, 597, 3*w^4 - 17*w^2 - 2*w + 14]', '[1791, 597, 6*w^4 - 3*w^3 - 29*w^2 + 9*w + 13]', '[1791, 1791, 2*w^4 - 4*w^3 - 9*w^2 + 14*w + 8]', '[1807, 1807, 3*w^4 - 3*w^3 - 12*w^2 + 6*w + 5]', '[1809, 201, -2*w^3 + w^2 + 10*w + 1]', '[1809, 201, -2*w^4 + w^3 + 7*w^2 - 4*w + 4]', '[1809, 1809, -2*w^4 + 3*w^3 + 8*w^2 - 14*w - 2]', '[1811, 1811, -w^3 - w^2 + 8*w]', '[1817, 1817, 5*w^4 - 2*w^3 - 27*w^2 + 7*w + 20]', '[1819, 1819, -2*w^4 + 2*w^3 + 9*w^2 - 10*w - 8]', '[1823, 1823, w^4 - 3*w^3 - 5*w^2 + 13*w - 2]', '[1824, 114, -2*w^4 + 2*w^3 + 10*w^2 - 10*w - 4]', '[1829, 1829, w^4 - 2*w^3 - 4*w^2 + 8*w - 5]', '[1831, 1831, 3*w^4 - 16*w^2 - 3*w + 6]', '[1839, 1839, 3*w^4 - 3*w^3 - 14*w^2 + 13*w + 6]', '[1843, 1843, -4*w^4 + 2*w^3 + 18*w^2 - 8*w + 3]', '[1847, 1847, -3*w^4 + 4*w^3 + 13*w^2 - 17*w - 3]', '[1851, 1851, 5*w^4 - 5*w^3 - 28*w^2 + 17*w + 20]', '[1863, 69, -4*w^4 + 2*w^3 + 21*w^2 - 7*w - 11]', '[1863, 207, -3*w^4 + w^3 + 13*w^2 - 2*w - 5]', '[1863, 207, -w^4 + 7*w^2 + w - 5]', '[1863, 207, w^4 - w^3 - 5*w^2 + 5*w - 3]', '[1863, 207, -3*w^4 + w^3 + 15*w^2 - 2*w - 11]', '[1863, 1863, 3*w^4 - w^3 - 14*w^2 + 5*w + 6]', '[1867, 1867, w^4 - w^3 - 3*w^2 + 2*w - 5]', '[1867, 1867, -3*w^3 + 3*w^2 + 13*w - 9]', '[1867, 1867, 3*w^4 + 2*w^3 - 14*w^2 - 12*w + 5]', '[1867, 1867, w^4 + 2*w^3 - 6*w^2 - 8*w + 6]', '[1867, 1867, 2*w^4 - w^3 - 11*w^2 + 4*w + 4]', '[1871, 1871, w^4 - 2*w^3 - 6*w^2 + 9*w + 4]', '[1873, 1873, -2*w^4 + 12*w^2 - 9]', '[1877, 1877, 2*w^4 - 10*w^2 + 2*w - 1]', '[1877, 1877, -w^4 - 2*w^3 + 7*w^2 + 9*w - 7]', '[1877, 1877, 2*w^4 - 11*w^2 - 3*w + 7]', '[1877, 1877, 3*w^4 - w^3 - 13*w^2 + 3*w + 8]', '[1877, 1877, -w^4 - 2*w^3 + 5*w^2 + 11*w - 5]', '[1887, 1887, -2*w^4 + 2*w^3 + 8*w^2 - 3*w - 1]', '[1888, 118, -2*w^4 + 10*w^2 + 2*w - 8]', '[1891, 1891, -2*w^4 + w^3 + 11*w^2 - 3*w - 4]', '[1893, 1893, 3*w^4 - 2*w^3 - 13*w^2 + 10*w + 3]', '[1899, 633, -2*w^4 + 2*w^3 + 10*w^2 - 7*w]', '[1899, 633, w^4 - w^3 - 5*w^2 + 5]', '[1899, 1899, -3*w^4 + 2*w^3 + 13*w^2 - 7*w - 6]', '[1901, 1901, -w^4 + 2*w^3 + 4*w^2 - 8*w - 4]', '[1909, 1909, 3*w^4 - 3*w^3 - 11*w^2 + 11*w - 3]', '[1909, 1909, 2*w^4 - 2*w^3 - 6*w^2 + 8*w - 9]', '[1909, 1909, -2*w^4 + 3*w^3 + 11*w^2 - 11*w - 6]', '[1909, 1909, -4*w^4 + 4*w^3 + 18*w^2 - 17*w - 7]', '[1909, 1909, -4*w^4 + 3*w^3 + 22*w^2 - 10*w - 14]', '[1913, 1913, -3*w^4 + 3*w^3 + 14*w^2 - 9*w - 6]', '[1917, 213, -2*w^4 + w^3 + 10*w^2 - 7*w - 5]', '[1917, 213, -w^4 + 2*w^3 + 5*w^2 - 4*w - 6]', '[1917, 1917, w^4 - w^3 - 8*w^2 + 3*w + 9]', '[1919, 1919, -3*w^4 + 2*w^3 + 11*w^2 - 3*w + 1]', '[1923, 1923, 3*w^4 - 3*w^3 - 12*w^2 + 11*w + 2]', '[1929, 1929, -2*w^4 + 2*w^3 + 12*w^2 - 9*w - 8]', '[1929, 1929, w^3 - 2*w^2 - w + 5]', '[1929, 1929, 5*w^4 - 5*w^3 - 25*w^2 + 13*w + 19]', '[1929, 1929, 3*w^4 - 2*w^3 - 15*w^2 + 7*w + 5]', '[1929, 1929, -4*w^4 + w^3 + 21*w^2 - 6*w - 13]', '[1931, 1931, -2*w^4 + 5*w^3 + 9*w^2 - 20*w - 3]', '[1941, 1941, -2*w^4 + 3*w^3 + 12*w^2 - 11*w - 6]', '[1951, 1951, -3*w^4 + 15*w^2 - w - 12]', '[1952, 122, -2*w^4 + 2*w^3 + 10*w^2 - 8*w]', '[1961, 1961, -w^2 + w - 3]', '[1977, 1977, 9*w^4 - 7*w^3 - 48*w^2 + 23*w + 37]', '[1979, 1979, -2*w^4 - 2*w^3 + 12*w^2 + 9*w - 10]', '[1983, 1983, w^4 - 3*w^3 - 5*w^2 + 13*w + 2]', '[1989, 663, -w^4 + 3*w^3 + 3*w^2 - 9*w - 1]', '[1989, 663, w^4 - 7*w^2 - 3*w + 7]', '[1989, 1989, -w + 5]', '[1993, 1993, -w^4 + w^3 + 6*w^2 - 7*w - 4]', '[1999, 1999, 3*w^4 - w^3 - 14*w^2 + 4*w + 3]', '[2011, 2011, -2*w^3 + w^2 + 9*w + 1]', '[2017, 2017, 3*w^4 - 3*w^3 - 12*w^2 + 11*w + 1]', '[2019, 2019, w^4 - 4*w^2 - 3*w + 6]', '[2029, 2029, -3*w^4 + 3*w^3 + 12*w^2 - 12*w + 5]', '[2033, 2033, -w^3 + 4*w + 5]', '[2039, 2039, 4*w^4 - w^3 - 19*w^2 - w + 8]', '[2041, 2041, w^4 - 2*w^3 - 3*w^2 + 6*w - 5]', '[2043, 681, 2*w^4 - 2*w^3 - 11*w^2 + 5*w + 11]', '[2043, 681, -w^4 + 3*w^3 + 5*w^2 - 12*w]', '[2043, 2043, -5*w^4 + 4*w^3 + 24*w^2 - 15*w - 15]', '[2049, 2049, -3*w^4 + 4*w^3 + 16*w^2 - 13*w - 7]', '[2053, 2053, -3*w^4 + w^3 + 13*w^2 - 2*w - 4]', '[2067, 2067, 4*w^4 - 4*w^3 - 19*w^2 + 13*w + 9]', '[2077, 2077, 3*w^4 - w^3 - 10*w^2 + 7*w - 4]', '[2081, 2081, 3*w^4 - w^3 - 12*w^2 + 3]', '[2089, 2089, -w^4 - 2*w^3 + 7*w^2 + 8*w - 11]', '[2097, 699, -2*w^4 + w^3 + 11*w^2 - 6]', '[2097, 699, -4*w^4 + 19*w^2 - 7]', '[2097, 2097, w^4 - w^2 - 6*w - 3]', '[2099, 2099, -w^4 + 2*w^3 + 5*w^2 - 11*w]', '[2099, 2099, 2*w^4 - 4*w^3 - 7*w^2 + 15*w - 1]', '[2099, 2099, 3*w^3 - 15*w + 2]', '[2099, 2099, -3*w^4 + w^3 + 15*w^2 - 12]', '[2099, 2099, -3*w^4 + w^3 + 13*w^2 - 3*w - 4]', '[2103, 2103, 3*w^4 - 3*w^3 - 17*w^2 + 11*w + 10]', '[2109, 2109, -3*w^2 + 2*w + 5]', '[2111, 2111, 3*w^4 - 5*w^3 - 14*w^2 + 19*w + 5]', '[2113, 2113, w^3 - 7*w - 1]', '[2119, 2119, -2*w^4 + 4*w^3 + 8*w^2 - 12*w - 1]', '[2129, 2129, w^3 - 7*w - 2]', '[2133, 237, -2*w^4 + 4*w^3 + 7*w^2 - 11*w - 6]', '[2133, 237, -w^3 + 4*w^2 - 8]', '[2133, 2133, 3*w^4 - 3*w^3 - 16*w^2 + 14*w + 9]', '[2137, 2137, 3*w^4 - 2*w^3 - 14*w^2 + 10*w + 9]', '[2139, 2139, -w^4 + 4*w^3 + 3*w^2 - 15*w + 2]', '[2141, 2141, -w^4 + 4*w^3 + 2*w^2 - 14*w + 5]', '[2144, 134, -2*w^4 + 12*w^2 + 4*w - 8]', '[2153, 2153, 4*w^4 - 5*w^3 - 19*w^2 + 17*w + 7]', '[2159, 2159, -w^4 - w^3 + 7*w^2 + 7*w - 4]', '[2171, 2171, w^4 - 3*w^3 - w^2 + 5*w - 3]', '[2179, 2179, -w^4 - w^3 + 4*w^2 + 8*w]', '[2181, 2181, -6*w^4 + 5*w^3 + 29*w^2 - 18*w - 18]', '[2183, 2183, -3*w^4 + 2*w^3 + 14*w^2 - 4*w - 6]', '[2187, 9, -3*w^4 + 15*w^2 - 9]', '[2187, 9, -3*w^4 + 3*w^3 + 15*w^2 - 9*w - 6]', '[2187, 27, 2*w^4 - 2*w^3 - 8*w^2 + 7*w + 5]', '[2187, 27, -w^3 + w^2 + 4]', '[2187, 27, -3*w^4 + 2*w^3 + 14*w^2 - 10*w - 7]', '[2187, 27, -2*w^4 + 3*w^3 + 8*w^2 - 10*w - 4]', '[2187, 27, 3*w^2 - 3*w - 6]', '[2187, 243, 2*w^4 - 2*w^3 - 11*w^2 + 10*w + 8]', '[2187, 243, w^4 - w^3 - 6*w^2 + 2*w + 9]', '[2187, 2187, w^3 - w^2 - w + 4]', '[2197, 13, 2*w^3 - 3*w^2 - 8*w + 8]', '[2197, 13, 2*w^4 - w^3 - 9*w^2 + 10]', '[2197, 2197, -2*w^4 + 2*w^3 + 11*w^2 - 4*w - 9]', '[2201, 2201, 3*w^4 - w^3 - 11*w^2 + 7*w + 4]', '[2207, 2207, 4*w^4 - 4*w^3 - 20*w^2 + 13*w + 9]', '[2208, 138, -4*w^4 + 2*w^3 + 18*w^2 - 4*w - 4]', '[2213, 2213, -3*w^4 + 3*w^3 + 15*w^2 - 9*w - 7]', '[2221, 2221, -5*w^4 + 4*w^3 + 24*w^2 - 16*w - 11]', '[2223, 741, w^4 - 4*w^3 - 2*w^2 + 15*w - 7]', '[2223, 741, -3*w^4 + 3*w^3 + 13*w^2 - 9*w - 2]', '[2223, 2223, 2*w^3 + w^2 - 7*w - 6]', '[2227, 2227, -w^4 + 3*w^3 + 4*w^2 - 7*w - 2]', '[2229, 2229, 9*w^4 - 6*w^3 - 47*w^2 + 23*w + 31]', '[2231, 2231, -2*w^4 - w^3 + 11*w^2 + 7*w - 10]', '[2239, 2239, -2*w^4 + w^3 + 7*w^2 - 3*w + 6]', '[2241, 249, w^4 + w^3 - 5*w^2 - 5*w + 6]', '[2241, 249, 3*w^4 - 4*w^3 - 14*w^2 + 15*w + 1]', '[2241, 249, 4*w^4 - 3*w^3 - 18*w^2 + 9*w + 2]', '[2241, 249, -w^4 + 5*w^3 + 2*w^2 - 20*w + 8]', '[2241, 249, -2*w^4 + 6*w^3 + 5*w^2 - 19*w + 5]', '[2241, 249, 3*w^4 - 4*w^3 - 10*w^2 + 8*w - 1]', '[2241, 249, w^4 - w^3 - 4*w^2 - w + 4]', '[2241, 249, 2*w^4 - w^3 - 10*w^2 + 7*w + 2]', '[2241, 249, w^4 - 7*w^2 + 5*w + 5]', '[2241, 249, w^4 - 3*w^3 - 3*w^2 + 6*w + 5]', '[2241, 2241, -3*w^3 + 2*w^2 + 11*w - 9]', '[2241, 2241, -5*w^4 + 6*w^3 + 22*w^2 - 22*w]', '[2241, 2241, -w^3 + 3*w^2 + 4*w - 6]', '[2241, 2241, -3*w^4 + 4*w^3 + 14*w^2 - 17*w + 3]', '[2241, 2241, -w^4 + w^3 + 8*w^2 - 5*w - 8]', '[2243, 2243, -2*w^4 + 3*w^3 + 10*w^2 - 10*w + 1]', '[2251, 2251, 3*w^4 - 5*w^3 - 14*w^2 + 19*w + 2]', '[2257, 2257, 3*w^4 - 2*w^3 - 13*w^2 + 6*w + 4]', '[2259, 753, -2*w^4 + 2*w^3 + 9*w^2 - 4*w - 1]', '[2259, 753, w^4 - 8*w^2 + w + 6]', '[2259, 2259, -3*w^4 + w^3 + 15*w^2 - 6*w - 8]', '[2267, 2267, -w^3 + 3*w - 5]', '[2269, 2269, 3*w^4 - 3*w^3 - 13*w^2 + 14*w - 1]', '[2272, 142, 4*w^4 - 2*w^3 - 18*w^2 + 8*w + 10]', '[2273, 2273, -2*w^4 + 2*w^3 + 11*w^2 - 8*w - 4]', '[2281, 2281, -2*w^4 + w^3 + 11*w^2 - 5*w - 3]', '[2281, 2281, -w^3 + 2*w^2 + 3*w - 11]', '[2281, 2281, -3*w^4 + 2*w^3 + 15*w^2 - 8*w - 4]', '[2281, 2281, -6*w^4 + 2*w^3 + 26*w^2 - 4*w + 1]', '[2281, 2281, w^4 - 4*w^2 + w - 4]', '[2287, 2287, -6*w^4 + 27*w^2 + 6*w - 1]', '[2301, 2301, w^4 - w^3 - 6*w^2 + 7*w + 5]', '[2307, 2307, w^4 - 3*w^3 - 5*w^2 + 10*w + 2]', '[2309, 2309, -3*w^2 - w + 9]', '[2311, 2311, 3*w^4 - w^3 - 16*w^2 + 6*w + 13]', '[2313, 771, 3*w^4 - 4*w^3 - 17*w^2 + 14*w + 13]', '[2313, 771, 3*w^4 - w^3 - 15*w^2 + 5*w + 14]', '[2313, 771, 3*w^4 - 2*w^3 - 13*w^2 + 7*w + 5]', '[2313, 771, w^3 - 3*w^2 - 5*w + 7]', '[2313, 771, -9*w^4 + 5*w^3 + 45*w^2 - 16*w - 27]', '[2313, 771, -7*w^4 + 4*w^3 + 37*w^2 - 13*w - 25]', '[2313, 771, 2*w^4 - 3*w^3 - 11*w^2 + 12*w + 8]', '[2313, 771, w^4 - 6*w^2 + 10]', '[2313, 771, -2*w^4 + 2*w^3 + 13*w^2 - 6*w - 13]', '[2313, 771, -4*w^4 + 3*w^3 + 19*w^2 - 12*w - 13]', '[2313, 2313, 3*w^4 - w^3 - 17*w^2 + 7*w + 8]', '[2313, 2313, 4*w^4 - 2*w^3 - 21*w^2 + 9*w + 12]', '[2313, 2313, 2*w^4 - 4*w^3 - 6*w^2 + 9*w + 3]', '[2313, 2313, -5*w^4 + 6*w^3 + 24*w^2 - 19*w - 20]', '[2313, 2313, -4*w^4 + 4*w^3 + 18*w^2 - 10*w - 11]', '[2323, 2323, -w^4 - w^3 + 7*w^2 + 4*w - 5]', '[2329, 2329, w^4 + w^3 - 3*w^2 + 5]', '[2339, 2339, 4*w^4 - 3*w^3 - 17*w^2 + 8*w + 1]', '[2341, 2341, w^4 - 2*w^3 - 6*w^2 + 10*w + 3]', '[2347, 2347, -w^4 + w^3 + w^2 + w + 3]', '[2361, 2361, -3*w^4 + 2*w^3 + 17*w^2 - 11*w - 11]', '[2363, 2363, -4*w^4 + w^3 + 19*w^2 - 3*w - 6]', '[2379, 2379, 4*w^4 - 2*w^3 - 19*w^2 + 2*w + 9]', '[2383, 2383, -2*w^4 - w^3 + 10*w^2 + 3*w - 5]', '[2389, 2389, -2*w^3 - w^2 + 11*w + 6]', '[2391, 2391, -3*w^4 + w^3 + 15*w^2 - 5*w - 7]', '[2391, 2391, -w^4 + 2*w^3 + 7*w^2 - 3*w - 7]', '[2391, 2391, -w^4 + 2*w^3 + 7*w^2 - 8*w - 6]', '[2391, 2391, w^4 - w^3 - 2*w^2 + 4*w - 5]', '[2391, 2391, -5*w^4 + 4*w^3 + 29*w^2 - 16*w - 21]', '[2393, 2393, 3*w^4 - 2*w^3 - 13*w^2 + 6*w + 6]', '[2413, 2413, 3*w^4 - w^3 - 15*w^2 + 4*w + 1]', '[2421, 807, 3*w^4 - 2*w^3 - 16*w^2 + 7*w + 8]', '[2421, 807, 2*w^4 - 10*w^2 - w + 9]', '[2421, 2421, w^4 - 9*w^2 + 7*w + 6]', '[2423, 2423, -w^4 + 3*w^3 + 4*w^2 - 14*w]', '[2427, 2427, w^4 - 3*w^3 - 5*w^2 + 7*w + 5]', '[2427, 2427, 3*w^4 - 3*w^3 - 13*w^2 + 9*w + 1]', '[2427, 2427, 5*w^4 - 3*w^3 - 28*w^2 + 9*w + 23]', '[2427, 2427, 8*w^4 - 6*w^3 - 42*w^2 + 19*w + 32]', '[2427, 2427, -3*w^4 + 2*w^3 + 14*w^2 - 11*w - 5]', '[2437, 2437, 2*w^4 - w^3 - 11*w^2 + 2*w + 3]', '[2439, 813, w^4 - 3*w^3 - 6*w^2 + 9*w + 4]', '[2439, 813, w^4 - 5*w^2 + 3*w + 6]', '[2439, 2439, w^4 + w^3 - 9*w^2 + 6]', '[2447, 2447, 3*w^4 - 3*w^3 - 12*w^2 + 9*w + 2]', '[2447, 2447, -3*w^3 + 3*w^2 + 12*w - 4]', '[2447, 2447, 2*w^4 - 2*w^3 - 9*w^2 + 6*w - 3]', '[2447, 2447, 4*w^4 - 3*w^3 - 18*w^2 + 9*w + 3]', '[2447, 2447, -4*w^4 + 4*w^3 + 21*w^2 - 16*w - 13]', '[2449, 2449, -w^2 - 2*w + 7]', '[2459, 2459, 2*w^4 - w^3 - 10*w^2 + 7*w + 1]', '[2461, 2461, -6*w^4 + 3*w^3 + 30*w^2 - 10*w - 20]', '[2463, 2463, 3*w^4 - 3*w^3 - 15*w^2 + 11*w + 5]', '[2467, 2467, 4*w^4 - 2*w^3 - 21*w^2 + 8*w + 10]', '[2469, 2469, -2*w^4 + w^3 + 12*w^2 - w - 13]', '[2473, 2473, -w^4 - 5*w^3 + 7*w^2 + 23*w - 5]', '[2477, 2477, 2*w^4 - w^3 - 13*w^2 + 2*w + 13]', '[2479, 2479, -5*w^4 + 23*w^2 + 4*w]', '[2483, 2483, -w^4 + w^3 + 4*w^2 - 2*w - 6]', '[2487, 2487, 5*w^4 - 2*w^3 - 28*w^2 + 8*w + 23]', '[2489, 2489, -3*w^3 + w^2 + 9*w - 6]', '[2493, 831, -w^3 + 8*w + 6]', '[2493, 831, -3*w^3 - 2*w^2 + 10*w + 5]', '[2493, 2493, 3*w^4 - 17*w^2 + 8]', '[2503, 2503, w^3 + 3*w^2 - 7*w - 5]', '[2509, 2509, 2*w^4 - 3*w^3 - 9*w^2 + 14*w - 5]', '[2511, 93, -w^4 + 2*w^3 + 3*w^2 - 7*w - 2]', '[2511, 279, -w^3 - w^2 + 2*w + 5]', '[2511, 279, 2*w^4 - 2*w^3 - 9*w^2 + 10*w + 3]', '[2511, 279, w^4 - w^3 - 2*w^2 + 3*w - 4]', '[2511, 279, w^4 - 2*w^2 - 3*w - 3]', '[2511, 2511, 3*w^2 + w - 8]', '[2517, 2517, -8*w^4 + 6*w^3 + 43*w^2 - 24*w - 29]', '[2521, 2521, -2*w^4 - 3*w^3 + 10*w^2 + 16*w - 2]', '[2528, 158, 4*w^4 - 2*w^3 - 20*w^2 + 4*w + 14]', '[2529, 843, 5*w^4 - 4*w^3 - 23*w^2 + 15*w + 6]', '[2529, 843, 3*w^4 - 16*w^2 - 3*w + 11]', '[2529, 2529, -w^3 + 2*w + 7]', '[2539, 2539, -w^4 + w^3 + 5*w^2 - 7*w - 2]', '[2543, 2543, -4*w^4 + 3*w^3 + 18*w^2 - 10*w + 2]', '[2547, 849, w^4 - 3*w^3 + 15*w - 11]', '[2547, 849, -5*w^4 + 3*w^3 + 22*w^2 - 12*w - 6]', '[2547, 2547, -2*w^4 + 4*w^3 + 9*w^2 - 15*w - 3]', '[2549, 2549, w^4 - 2*w^3 - 6*w^2 + 11*w + 1]', '[2553, 2553, 4*w^4 - 18*w^2 - 5*w + 6]', '[2573, 2573, -2*w^4 + w^3 + 7*w^2 - 5*w - 4]', '[2573, 2573, -3*w^4 + 2*w^3 + 11*w^2 - 9*w - 1]', '[2573, 2573, 2*w^4 - 7*w^3 - 7*w^2 + 27*w - 9]', '[2573, 2573, 2*w^4 - 6*w^3 - 9*w^2 + 24*w - 6]', '[2573, 2573, -3*w^4 + 6*w^3 + 14*w^2 - 20*w + 1]', '[2587, 2587, w^4 + 2*w^3 - 8*w^2 - 7*w + 10]', '[2589, 2589, 4*w^4 - 4*w^3 - 18*w^2 + 12*w + 13]', '[2591, 2591, -2*w^4 + w^3 + 7*w^2 - w + 2]', '[2592, 6, 4*w^4 - 2*w^3 - 18*w^2 + 4*w + 2]', '[2592, 18, 2*w^4 - 4*w^3 - 8*w^2 + 14*w + 2]', '[2592, 18, -2*w^4 + 12*w^2 - 8]', '[2592, 18, 4*w^4 - 2*w^3 - 20*w^2 + 8*w + 10]', '[2592, 18, -2*w^4 - 2*w^3 + 10*w^2 + 10*w - 6]', '[2592, 162, 2*w^4 - 2*w^3 - 10*w^2 + 4*w + 4]', '[2593, 2593, -6*w^4 - w^3 + 28*w^2 + 7*w - 3]', '[2601, 51, -w^2 - 6*w - 4]', '[2601, 51, -w^4 + 9*w^2 - 19]', '[2601, 51, w^4 + 3*w^3 - 2*w^2 - 8*w - 3]', '[2601, 51, -4*w^4 + 6*w^3 + 20*w^2 - 24*w - 15]', '[2601, 153, -2*w^4 - w^3 + 14*w^2 + w - 6]', '[2601, 153, -7*w^4 + 5*w^3 + 33*w^2 - 15*w - 15]', '[2601, 867, -w^4 - w^3 + 4*w^2 + 5*w - 4]', '[2601, 867, -2*w^4 + 3*w^3 + 10*w^2 - 11*w]', '[2601, 2601, 3*w^3 - w^2 - 10*w + 6]', '[2603, 2603, -w^4 + 2*w^3 + 3*w^2 - 8*w - 1]', '[2609, 2609, w^4 + w^3 - 3*w^2 - 8*w]', '[2609, 2609, -2*w^4 - w^3 + 11*w^2 + 4*w - 7]', '[2609, 2609, 4*w^4 - 5*w^3 - 18*w^2 + 18*w + 8]', '[2609, 2609, -2*w^4 + w^3 + 9*w^2 - 7*w - 6]', '[2609, 2609, 3*w^4 + 4*w^3 - 16*w^2 - 19*w + 8]', '[2613, 2613, -w^4 - 3*w^3 + 2*w^2 + 10*w + 3]', '[2617, 2617, -3*w^4 + 15*w^2 + 4*w - 10]', '[2619, 291, -2*w^4 + w^3 + 10*w^2 - 7*w + 4]', '[2619, 291, -w^4 - w^3 + 2*w^2 + 11*w]', '[2619, 2619, -2*w^4 + 5*w^3 + 7*w^2 - 18*w]', '[2621, 2621, 2*w^4 - w^3 - 13*w^2 + 3*w + 15]', '[2621, 2621, -w^4 + 2*w^3 + 6*w^2 - 11*w]', '[2621, 2621, -w^4 - 2*w^3 + 6*w^2 + 9*w - 8]', '[2621, 2621, 2*w^4 - w^3 - 13*w^2 + 4*w + 9]', '[2621, 2621, w^4 + w^3 - 5*w^2 - 6*w + 6]', '[2627, 2627, 4*w^4 - 2*w^3 - 18*w^2 + 9*w + 7]', '[2631, 2631, -7*w^4 + 6*w^3 + 37*w^2 - 19*w - 25]', '[2633, 2633, -2*w^4 + 2*w^3 + 8*w^2 - 7*w - 6]', '[2637, 879, 2*w^4 - 3*w^3 - 11*w^2 + 12*w + 14]', '[2637, 879, 3*w^4 - 4*w^3 - 16*w^2 + 16*w + 12]', '[2637, 2637, 5*w^4 - 3*w^3 - 23*w^2 + 5*w + 14]', '[2641, 2641, 2*w^4 + 2*w^3 - 12*w^2 - 7*w + 6]', '[2643, 2643, -2*w^4 + 2*w^3 + 11*w^2 - 6*w - 4]', '[2656, 166, -2*w^4 + 4*w^3 + 10*w^2 - 14*w - 4]', '[2656, 166, -2*w^4 + 2*w^3 + 8*w^2 - 6*w + 6]', '[2656, 166, 2*w^4 - 2*w^3 - 10*w^2 + 8*w - 2]', '[2656, 166, -2*w^4 + 2*w^3 + 8*w^2 - 8*w - 4]', '[2656, 166, -4*w^4 + 2*w^3 + 18*w^2 - 6*w - 10]', '[2657, 2657, w^4 - 4*w^2 + 2*w - 3]', '[2659, 2659, -2*w^4 + 12*w^2 + w - 10]', '[2661, 2661, 3*w^4 - 3*w^3 - 16*w^2 + 8*w + 9]', '[2669, 2669, -3*w^4 + w^3 + 11*w^2 - 5*w + 4]', '[2671, 2671, -w^2 - 3]', '[2677, 2677, -2*w^4 - 2*w^3 + 11*w^2 + 9*w - 7]', '[2683, 2683, -w^4 + 4*w^3 + 4*w^2 - 16*w - 2]', '[2687, 2687, -w^4 - 2*w^3 + 7*w^2 + 9*w - 12]', '[2689, 2689, -w^4 + w^3 + 7*w^2 - 6]', '[2691, 897, -2*w^4 + 2*w^3 + 7*w^2 - 9*w - 1]', '[2691, 897, w^4 - 2*w^2 - 3]', '[2691, 2691, -w^4 + 2*w^2 - 3*w + 5]', '[2699, 2699, 3*w^4 - 2*w^3 - 14*w^2 + 10*w + 8]', '[2703, 2703, -5*w^4 + 3*w^3 + 23*w^2 - 12*w - 9]', '[2711, 2711, w^4 - 3*w^3 - 6*w^2 + 8*w + 6]', '[2721, 2721, -3*w^4 + 4*w^3 + 15*w^2 - 11*w - 13]', '[2727, 303, -2*w^4 + 3*w^3 + 5*w^2 - 4*w + 2]', '[2727, 303, -4*w^3 + 5*w^2 + 8*w - 1]', '[2727, 2727, w^3 + 2*w^2 - 8*w]', '[2731, 2731, -w^4 + 3*w^3 + 5*w^2 - 11*w - 4]', '[2741, 2741, -2*w^4 + 9*w^2 + 2*w + 3]', '[2743, 2743, 2*w^4 + w^3 - 10*w^2 - 3*w + 8]', '[2749, 2749, -2*w^4 + w^3 + 11*w^2 - 4*w - 13]', '[2749, 2749, -3*w^3 - w^2 + 11*w - 1]', '[2749, 2749, -w^4 + 4*w^3 + 4*w^2 - 18*w - 1]', '[2749, 2749, -w^4 - w^3 + 6*w^2 + 7*w - 9]', '[2749, 2749, w^4 + w^3 - 5*w^2 - 8*w - 1]', '[2753, 2753, w^4 - 3*w^3 - 5*w^2 + 14*w - 2]', '[2757, 2757, -5*w^4 + 2*w^3 + 25*w^2 - 9*w - 15]', '[2769, 2769, -3*w^4 + 14*w^2 - 5*w - 10]', '[2771, 2771, 3*w^4 - 2*w^3 - 11*w^2 + 12*w + 1]', '[2777, 2777, 2*w^4 - 3*w^3 - 11*w^2 + 11*w + 3]', '[2787, 2787, 5*w^4 - 2*w^3 - 24*w^2 + 8*w + 19]', '[2791, 2791, -3*w^4 + 2*w^3 + 14*w^2 - 9*w - 4]', '[2791, 2791, 2*w^3 - 11*w + 5]', '[2791, 2791, -w^4 + w^3 + 2*w^2 - 3*w + 8]', '[2791, 2791, 4*w^4 - w^3 - 18*w^2 + 3*w + 8]', '[2791, 2791, -4*w^4 + 3*w^3 + 20*w^2 - 14*w - 10]', '[2801, 2801, -w^4 - w^3 + 5*w^2 + 8*w - 4]', '[2809, 53, -w^4 - w^3 + 3*w^2 + 7*w]', '[2809, 53, -2*w^4 - w^3 + 9*w^2 + 8*w - 5]', '[2809, 2809, -4*w^4 + 2*w^3 + 20*w^2 - 5*w - 15]', '[2811, 2811, -5*w^4 + 5*w^3 + 24*w^2 - 17*w - 16]', '[2819, 2819, w^3 + 3*w^2 - 6*w - 6]', '[2823, 2823, -3*w^4 + 3*w^3 + 14*w^2 - 6*w - 11]', '[2833, 2833, -2*w^4 + 3*w^3 + 8*w^2 - 11*w - 3]', '[2837, 2837, -5*w^4 + 2*w^3 + 23*w^2 - 7*w - 1]', '[2839, 2839, -2*w^4 + 7*w^2 - 3*w + 2]', '[2851, 2851, -w^4 + 2*w^3 + 2*w^2 - 6*w - 1]', '[2851, 2851, -2*w^4 - 4*w^3 + 12*w^2 + 19*w - 8]', '[2851, 2851, -4*w^4 + 2*w^3 + 21*w^2 - 5*w - 10]', '[2851, 2851, -3*w^4 + 3*w^3 + 16*w^2 - 8*w - 8]', '[2851, 2851, -3*w^4 - w^3 + 16*w^2 + 6*w - 6]', '[2853, 951, w^4 + w^3 - 7*w^2 - 6*w + 6]', '[2853, 951, 4*w^4 - w^3 - 18*w^2 + 2*w + 5]', '[2853, 2853, -3*w^3 + 2*w^2 + 9*w + 1]', '[2861, 2861, w^4 + 2*w^3 - 6*w^2 - 11*w + 9]', '[2873, 221, -w^4 + 8*w^2 + 2*w - 10]', '[2873, 221, -w^4 - 3*w^3 + 6*w^2 + 12*w - 9]', '[2873, 2873, -w^4 + 3*w^3 + 4*w^2 - 14*w - 1]', '[2883, 93, -6*w^4 + 6*w^3 + 32*w^2 - 19*w - 21]', '[2883, 93, w^4 - 3*w^3 - 3*w^2 + 11*w + 1]', '[2883, 2883, w^4 + w^3 - 4*w^2 - 8*w - 1]', '[2889, 321, w^4 - 2*w^3 - 5*w^2 + 5*w + 7]', '[2889, 321, w^4 - w^3 - 7*w^2 + 8*w + 7]', '[2889, 2889, -3*w^4 + 3*w^3 + 14*w^2 - 11*w - 10]', '[2897, 2897, 2*w^4 - 11*w^2 + 4*w + 5]', '[2897, 2897, -3*w^4 + 3*w^3 + 17*w^2 - 12*w - 12]', '[2897, 2897, 2*w^4 - 4*w^3 - 8*w^2 + 13*w + 5]', '[2897, 2897, w^4 - 4*w^2 + w - 7]', '[2897, 2897, w^4 - 4*w^3 - 5*w^2 + 16*w + 2]', '[2901, 2901, 3*w^4 - 3*w^3 - 14*w^2 + 9*w + 5]', '[2903, 2903, 4*w^4 - 2*w^3 - 20*w^2 + 3*w + 9]', '[2907, 969, 3*w^4 - 2*w^3 - 15*w^2 + 10*w + 9]', '[2907, 969, 3*w^4 - 13*w^2 + 2*w + 4]', '[2907, 2907, -3*w^3 + 14*w - 1]', '[2921, 2921, 2*w^3 + w^2 - 9*w - 1]', '[2923, 2923, 4*w^4 - 2*w^3 - 18*w^2 + 4*w + 3]', '[2927, 2927, -w^4 - 2*w^3 + 7*w^2 + 9*w - 6]', '[2939, 2939, -w^4 + 3*w^3 + 3*w^2 - 12*w]', '[2951, 2951, 3*w^4 - w^3 - 16*w^2 + 5*w + 16]', '[2957, 2957, -3*w^3 + 12*w + 2]', '[2963, 2963, -2*w^4 + w^3 + 10*w^2 - 6]', '[2963, 2963, -4*w^4 - 3*w^3 + 20*w^2 + 14*w - 4]', '[2963, 2963, 5*w^4 - 3*w^3 - 24*w^2 + 10*w + 7]', '[2963, 2963, -2*w^4 + 2*w^3 + 10*w^2 - 10*w - 5]', '[2963, 2963, w^4 - 2*w^3 - 4*w^2 + 11*w - 1]', '[2969, 2969, -w^3 - 2*w^2 + 7*w + 1]', '[2969, 2969, 2*w^4 + 3*w^3 - 11*w^2 - 16*w + 7]', '[2969, 2969, -3*w^3 + w^2 + 10*w - 5]', '[2969, 2969, -2*w^4 + 9*w^2 - 2*w + 1]', '[2969, 2969, w^4 + w^3 - 4*w^2 - 7*w + 4]', '[2971, 2971, 3*w^4 - 2*w^3 - 12*w^2 + 6*w + 6]', '[2971, 2971, -4*w^4 + w^3 + 18*w^2 - w - 6]', '[2971, 2971, -w^4 + 3*w^3 + 5*w^2 - 11*w - 5]', '[2971, 2971, -4*w^4 + w^3 + 20*w^2 - 5*w - 13]', '[2971, 2971, -4*w^4 + w^3 + 18*w^2 - 3*w + 1]', '[2973, 2973, -3*w^4 + 2*w^3 + 18*w^2 - 9*w - 16]', '[2976, 186, -4*w^4 + 2*w^3 + 18*w^2 - 8*w - 8]', '[2983, 2983, -w^4 + 5*w^3 + 3*w^2 - 20*w + 3]', '[2991, 2991, -3*w^4 + w^3 + 12*w^2 - 3*w - 8]', '[2991, 2991, 6*w^4 - 4*w^3 - 29*w^2 + 16*w + 20]', '[2991, 2991, 2*w^4 - 2*w^3 - 13*w^2 + 9*w + 12]', '[2991, 2991, w^4 - w^3 - 9*w^2 + 3*w + 10]', '[2991, 2991, w^4 + 2*w^3 - 5*w^2 - 10*w + 5]', '[2997, 111, -4*w^4 - w^3 + 18*w^2 + 8*w - 5]', '[2997, 333, w^3 - w^2 - 2*w - 4]', '[2997, 333, 3*w^4 - 16*w^2 + 2*w + 7]', '[2997, 333, 4*w^4 - w^3 - 19*w^2 - w + 4]', '[2997, 333, -3*w^4 + w^3 + 17*w^2 - 3*w - 10]', '[2997, 2997, -3*w^4 + 12*w^2 + w - 5]', '[2999, 2999, w^3 + 3*w^2 - 6*w - 4]', '[3001, 3001, -2*w^3 - w^2 + 9*w]', '[3007, 3007, 3*w^4 - 4*w^3 - 11*w^2 + 13*w - 5]', '[3009, 3009, 2*w^4 - 2*w^3 - 9*w^2 + 9*w - 4]', '[3013, 3013, 2*w^4 - 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8*w - 5]', '[4329, 1443, w^3 + 3*w^2 - 5*w - 6]', '[4329, 4329, w^4 + 2*w^3 - w^2 - 6*w - 1]', '[4331, 4331, 4*w^4 - 20*w^2 - w + 1]', '[4337, 4337, -w^4 + 2*w^3 + 3*w^2 - 4*w - 6]', '[4341, 4341, -3*w^4 + 2*w^3 + 15*w^2 - 5*w - 15]', '[4349, 4349, 3*w^4 - 4*w^3 - 11*w^2 + 10*w + 1]', '[4353, 4353, -w^4 + 2*w^3 + 8*w^2 - 9*w - 8]', '[4357, 4357, 2*w^3 - 11*w - 1]', '[4363, 4363, -w^4 - w^3 + 2*w^2 + 9*w + 3]', '[4369, 4369, w^4 - 2*w^3 - 3*w^2 + 6*w - 7]', '[4369, 4369, w^4 - 2*w^3 - 2*w^2 + 11*w - 6]', '[4369, 4369, -w^3 - 3*w^2 + w + 8]', '[4369, 4369, -w^4 - w^3 + 5*w^2 + w - 9]', '[4369, 4369, 5*w^4 - 2*w^3 - 26*w^2 + 4*w + 16]', '[4373, 4373, -4*w^4 + 2*w^3 + 20*w^2 - 6*w - 7]', '[4381, 4381, w^4 - 4*w^3 + 13*w - 8]', '[4381, 4381, 4*w^4 - 3*w^3 - 18*w^2 + 9*w + 9]', '[4381, 4381, -w^4 + w^3 + 5*w^2 + w - 7]', '[4381, 4381, -w^4 - w^3 + 6*w^2 + 7*w - 7]', '[4381, 4381, 4*w^4 - 5*w^3 - 17*w^2 + 16*w + 4]', '[4383, 1461, 2*w^4 - 9*w^2 - 3*w - 4]', '[4383, 1461, 3*w^4 + 3*w^3 - 13*w^2 - 15*w - 1]', '[4383, 1461, 4*w^4 - 2*w^3 - 19*w^2 + 9*w + 9]', '[4383, 1461, 3*w^4 - 2*w^3 - 16*w^2 + 4*w + 11]', '[4383, 1461, 6*w^4 - 3*w^3 - 29*w^2 + 12*w + 16]', '[4383, 1461, 3*w^4 - 2*w^3 - 18*w^2 + 4*w + 16]', '[4383, 1461, 2*w^3 - w^2 - 11*w - 3]', '[4383, 1461, 3*w^4 + 2*w^3 - 12*w^2 - 10*w - 3]', '[4383, 1461, 2*w^4 - 7*w^2 + 2*w - 3]', '[4383, 1461, w^3 - w^2 - 8*w - 1]', '[4383, 4383, 2*w^4 - 3*w^3 - 7*w^2 + 6*w + 8]', '[4383, 4383, 3*w^4 - 3*w^3 - 17*w^2 + 13*w + 12]', '[4383, 4383, -5*w^4 + 25*w^2 + w - 7]', '[4383, 4383, -4*w^4 - w^3 + 21*w^2 + 4*w - 8]', '[4383, 4383, -2*w^4 + 12*w^2 - 2*w - 3]', '[4384, 274, 2*w^4 - 2*w^3 - 12*w^2 + 6*w + 6]', '[4391, 4391, 3*w^4 - w^3 - 15*w^2 + 6*w + 7]', '[4391, 4391, -w^4 - 2*w^3 + 4*w^2 + 9*w - 4]', '[4391, 4391, -w^4 + w^3 + 4*w^2 - 8*w]', '[4391, 4391, w^4 - 2*w^3 - w^2 + 11*w - 4]', '[4391, 4391, -7*w^4 + 4*w^3 + 33*w^2 - 12*w - 12]', '[4393, 4393, 4*w^4 - 3*w^3 - 21*w^2 + 10*w + 11]', '[4399, 4399, -4*w^4 + 6*w^3 + 19*w^2 - 23*w - 12]', '[4399, 4399, -3*w^4 + 17*w^2 + w - 12]', '[4399, 4399, -w^3 + w^2 + w - 5]', '[4399, 4399, -2*w^4 - w^3 + 10*w^2 + 5*w - 8]', '[4399, 4399, -w^4 + 5*w^2 + 6*w + 1]', '[4401, 489, -2*w^4 + 3*w^3 + 6*w^2 - 9*w - 1]', '[4401, 489, 2*w^4 - 3*w^3 - 5*w^2 + 10*w - 5]', '[4401, 4401, 3*w^4 - 3*w^3 - 13*w^2 + 15*w + 1]', '[4413, 4413, w^4 + 4*w^3 - 6*w^2 - 20*w + 4]', '[4421, 4421, -w^4 + 5*w^2 - 3*w + 4]', '[4421, 4421, w^4 - 2*w^3 - 2*w^2 + 5*w - 6]', '[4421, 4421, -w^4 - w^3 + 8*w^2 + 7*w - 11]', '[4421, 4421, -2*w^4 + 11*w^2 + 3*w - 10]', '[4421, 4421, 2*w^4 - 4*w^3 - 12*w^2 + 12*w + 11]', '[4423, 4423, -w^3 + 3*w^2 + w - 8]', '[4427, 4427, -3*w^4 + 16*w^2 - 3]', '[4439, 4439, 4*w^4 - 5*w^3 - 18*w^2 + 19*w]', '[4441, 4441, -3*w^3 + 2*w^2 + 10*w - 5]', '[4443, 4443, 3*w^4 - w^3 - 18*w^2 + 4*w + 15]', '[4448, 278, -4*w^4 + 2*w^3 + 18*w^2 - 6*w + 2]', '[4449, 4449, -4*w^4 + 4*w^3 + 19*w^2 - 10*w - 12]', '[4449, 4449, -5*w^4 + 4*w^3 + 27*w^2 - 14*w - 17]', '[4449, 4449, -3*w^4 + 2*w^3 + 17*w^2 - 9*w - 9]', '[4449, 4449, 3*w^4 - 15*w^2 - 4*w + 8]', '[4449, 4449, 4*w^4 - 3*w^3 - 18*w^2 + 11*w + 13]', '[4457, 4457, 3*w^4 - 2*w^3 - 14*w^2 + 4*w + 3]', '[4461, 4461, 3*w^4 - w^3 - 15*w^2 + 2*w + 13]', '[4463, 4463, -3*w^4 + 2*w^3 + 16*w^2 - 9*w - 6]', '[4467, 4467, -3*w^4 + w^3 + 15*w^2 - 8*w - 10]', '[4479, 4479, -3*w^3 + w^2 + 15*w - 1]', '[4479, 4479, -6*w^4 + 5*w^3 + 28*w^2 - 17*w - 16]', '[4479, 4479, w^4 + w^3 - 3*w^2 - 9*w - 3]', '[4479, 4479, -7*w^4 + 5*w^3 + 33*w^2 - 19*w - 19]', '[4479, 4479, -2*w^4 + 2*w^3 + 11*w^2 - 8*w - 3]', '[4489, 67, 5*w^4 - 24*w^2 - w + 8]', '[4489, 67, -3*w^4 + 3*w^3 + 10*w^2 - 13*w + 5]', '[4489, 4489, w^4 - w^3 - 4*w^2 + w - 4]', '[4491, 1497, 5*w^4 - 2*w^3 - 24*w^2 + 7*w + 10]', '[4491, 1497, 2*w^4 - 12*w^2 - 3*w + 11]', '[4491, 1497, 4*w^4 - 3*w^3 - 23*w^2 + 12*w + 21]', '[4491, 1497, 6*w^4 - 6*w^3 - 29*w^2 + 22*w + 17]', '[4491, 1497, -3*w^4 + 3*w^3 + 19*w^2 - 6*w - 14]', '[4491, 1497, -6*w^4 + 2*w^3 + 26*w^2 - 11*w - 12]', '[4491, 1497, -2*w^4 + 12*w^2 + 3*w - 5]', '[4491, 1497, -5*w^4 + 22*w^2 + 3*w - 6]', '[4491, 1497, 6*w^4 - 4*w^3 - 30*w^2 + 17*w + 20]', '[4491, 1497, 5*w^4 - 5*w^3 - 27*w^2 + 16*w + 22]', '[4491, 4491, -2*w^4 + w^3 + 11*w^2 - 6*w - 11]', '[4491, 4491, w^4 - 2*w^3 - 7*w^2 + 11*w + 6]', '[4491, 4491, w^4 + 4*w^3 - 9*w^2 - 9*w]', '[4491, 4491, 6*w^4 - 5*w^3 - 27*w^2 + 12*w + 19]', '[4491, 4491, 4*w^4 - 26*w^2 + 6*w + 19]', '[4497, 4497, 7*w^4 - 5*w^3 - 36*w^2 + 21*w + 27]', '[4503, 4503, -6*w^4 + 4*w^3 + 32*w^2 - 17*w - 18]', '[4507, 4507, -4*w^4 + 2*w^3 + 19*w^2 - 4*w - 6]', '[4509, 501, 2*w^4 - 3*w^3 - 3*w^2 + 3*w - 2]', '[4509, 501, -2*w^4 + 4*w^3 + 4*w^2 - 10*w + 1]', '[4509, 4509, -w^4 + 5*w^2 - 5*w + 3]', '[4511, 4511, 2*w^3 - 2*w^2 - 5*w + 7]', '[4517, 4517, -2*w^4 + 2*w^3 + 6*w^2 - 6*w + 3]', '[4519, 4519, -4*w^4 + 2*w^3 + 17*w^2 - 9*w - 6]', '[4537, 4537, 2*w^4 - 4*w^3 - 7*w^2 + 14*w - 8]', '[4547, 4547, 2*w^4 - 7*w^2 - 3*w - 2]', '[4549, 4549, 2*w^4 + w^3 - 11*w^2 - 2*w + 6]', '[4549, 4549, -2*w^4 - w^3 + 9*w^2 + 7*w - 5]', '[4549, 4549, -2*w^4 - w^3 + 9*w^2 + 3*w - 10]', '[4549, 4549, w^4 - w^3 - 2*w^2 - 2*w - 3]', '[4549, 4549, 2*w^4 - w^3 - 10*w^2 - w + 5]', '[4561, 4561, -4*w^4 + 3*w^3 + 19*w^2 - 8*w - 9]', '[4563, 39, 3*w^4 - 2*w^3 - 16*w^2 + 12*w + 5]', '[4563, 39, 2*w^4 - 2*w^3 - 8*w^2 + w + 8]', '[4563, 39, w^4 + 2*w^3 - 7*w^2 - 7*w + 7]', '[4563, 39, 4*w^4 - 5*w^3 - 17*w^2 + 17*w + 1]', '[4563, 351, -w^4 - w^3 + 9*w^2 + 3*w - 12]', '[4563, 351, -3*w^3 + 2*w^2 + 13*w - 10]', '[4563, 507, -2*w^4 + 2*w^3 + 12*w^2 - 7*w - 6]', '[4563, 507, -4*w^4 + 4*w^3 + 19*w^2 - 14*w - 4]', '[4563, 4563, 3*w^4 - 15*w^2 + 2*w + 11]', '[4567, 4567, -3*w^4 + 2*w^3 + 16*w^2 - 6*w - 7]', '[4567, 4567, -2*w^4 - w^3 + 11*w^2 + 6*w - 11]', '[4567, 4567, w^4 - 3*w^3 - 5*w^2 + 10*w + 4]', '[4567, 4567, -w^4 - 2*w^3 + 6*w^2 + 5*w - 4]', '[4567, 4567, -w^4 - w^3 + 5*w^2 + 6*w - 7]', '[4569, 4569, -2*w^4 + 2*w^3 + 11*w^2 - 5*w - 12]', '[4569, 4569, w^4 - 2*w^3 - 7*w^2 + 6*w + 1]', '[4569, 4569, -2*w^4 + 4*w^3 + 11*w^2 - 11*w - 7]', '[4569, 4569, w^4 - 9*w^2 + 2*w + 10]', '[4569, 4569, 2*w^4 - w^3 - 14*w^2 + 3*w + 14]', '[4573, 4573, -w^4 - 2*w^3 + 6*w^2 + 7*w - 7]', '[4577, 4577, -4*w^4 + 6*w^3 + 19*w^2 - 23*w - 10]', '[4581, 1527, -4*w^4 + 6*w^3 + 23*w^2 - 21*w - 21]', '[4581, 1527, -5*w^4 + 3*w^3 + 25*w^2 - 14*w - 21]', '[4581, 4581, -7*w^4 + 4*w^3 + 34*w^2 - 12*w - 20]', '[4589, 4589, -w^4 - 2*w^3 + 6*w^2 + 12*w - 11]', '[4603, 4603, -6*w^4 - 2*w^3 + 29*w^2 + 15*w - 9]', '[4607, 4607, 3*w^3 + 2*w^2 - 10*w - 1]', '[4617, 57, -3*w^3 + 3*w^2 + 12*w - 6]', '[4617, 171, 4*w^4 - 4*w^3 - 18*w^2 + 11*w + 9]', '[4617, 171, -4*w^4 + 2*w^3 + 17*w^2 - 4*w - 3]', '[4617, 513, 4*w^4 - 3*w^3 - 18*w^2 + 12*w + 2]', '[4617, 513, 2*w^4 - 11*w^2 + 4*w + 4]', '[4617, 4617, -w^4 + 8*w^2 - 7]', '[4621, 4621, w^4 - 3*w^2 - 4*w - 4]', '[4623, 4623, -3*w^4 - 4*w^3 + 15*w^2 + 21*w - 1]', '[4629, 4629, 8*w^4 - 4*w^3 - 44*w^2 + 16*w + 33]', '[4637, 4637, w^4 - 3*w^3 - 3*w^2 + 15*w - 6]', '[4637, 4637, -w^4 + 3*w^3 + w^2 - 7*w - 2]', '[4637, 4637, -2*w^3 - w^2 + 7*w + 7]', '[4637, 4637, 2*w^4 - 3*w^3 - 7*w^2 + 10*w - 7]', '[4637, 4637, w^4 - 2*w^3 - 2*w^2 + 6*w - 8]', '[4639, 4639, 3*w^4 - 6*w^3 - 14*w^2 + 23*w + 3]', '[4639, 4639, 6*w^4 + 2*w^3 - 27*w^2 - 15*w + 4]', '[4639, 4639, w^3 + 3*w^2 - 3*w - 7]', '[4639, 4639, 3*w^2 - 2*w - 7]', '[4639, 4639, -2*w^4 + w^3 + 10*w^2 - 8]', '[4649, 4649, 4*w^4 - 18*w^2 - w]', '[4651, 4651, 4*w^4 - 3*w^3 - 16*w^2 + 13*w + 2]', '[4657, 4657, -5*w^4 + 4*w^3 + 23*w^2 - 14*w - 3]', '[4661, 4661, -w^3 - 3*w^2 + 9*w + 4]', '[4667, 4667, -2*w^4 + 3*w^3 + 9*w^2 - 16*w + 2]', '[4673, 4673, 3*w^4 - w^3 - 15*w^2 + 9]', '[4679, 4679, -2*w^4 + 2*w^3 + 11*w^2 - 6*w - 3]', '[4689, 1563, w^4 - w^3 - 8*w^2 + 3*w + 11]', '[4689, 1563, 3*w^4 - 3*w^3 - 14*w^2 + 12*w + 10]', '[4689, 4689, 4*w^4 - 4*w^3 - 17*w^2 + 9*w + 9]', '[4693, 247, 3*w^4 - 3*w^3 - 15*w^2 + 14*w + 1]', '[4693, 247, -2*w^4 + w^3 + 8*w^2 + 2*w - 8]', '[4693, 4693, -w^4 + 2*w^3 + 5*w^2 - 8*w + 4]', '[4699, 4699, 2*w^3 + 2*w^2 - 10*w - 5]', '[4701, 4701, 9*w^4 - 5*w^3 - 50*w^2 + 21*w + 39]', '[4707, 1569, 4*w^4 - 4*w^3 - 19*w^2 + 13*w + 7]', '[4707, 1569, 3*w^4 - 16*w^2 + 11]', '[4707, 4707, w^3 - 5*w^2 + 2*w + 8]', '[4709, 4709, 2*w^4 + 3*w^3 - 7*w^2 - 11*w - 1]', '[4713, 4713, 11*w^4 - 9*w^3 - 59*w^2 + 30*w + 45]', '[4721, 4721, -w^4 + 3*w^3 + 4*w^2 - 8*w - 3]', '[4731, 4731, 2*w^4 - 3*w^3 - 9*w^2 + 17*w - 3]', '[4731, 4731, 4*w^4 - w^3 - 22*w^2 + 7*w + 15]', '[4731, 4731, w^3 - 4*w^2 - 5*w + 12]', '[4731, 4731, w^4 + w^3 - 7*w^2 - w + 9]', '[4731, 4731, 4*w^4 - 6*w^3 - 17*w^2 + 25*w + 2]', '[4733, 4733, 3*w^4 - 2*w^3 - 13*w^2 + 10*w + 1]', '[4737, 4737, -2*w^4 + w^3 + 12*w^2 - 9]', '[4737, 4737, 13*w^4 - 9*w^3 - 70*w^2 + 33*w + 51]', '[4737, 4737, -6*w^4 + 2*w^3 + 28*w^2 - 4*w - 3]', '[4737, 4737, -8*w^4 + 5*w^3 + 40*w^2 - 18*w - 30]', '[4737, 4737, -2*w^4 + 9*w^2 + w - 9]', '[4743, 1581, -2*w^4 + w^3 + 8*w^2 - 6*w + 3]', '[4743, 1581, w^2 - 8]', '[4743, 4743, -2*w^4 + 3*w^3 + 7*w^2 - 13*w]', '[4749, 4749, -2*w^4 + 4*w^3 + 10*w^2 - 15*w - 7]', '[4751, 4751, 2*w^4 + w^3 - 12*w^2 - 4*w + 12]', '[4757, 4757, 4*w^4 - w^3 - 20*w^2 + 5*w + 10]', '[4759, 4759, w^3 + w^2 - 2*w - 6]', '[4761, 69, 3*w^4 - 3*w^3 - 13*w^2 + 14*w + 4]', '[4761, 69, -3*w^4 + 2*w^3 + 12*w^2 - 7*w - 4]', '[4761, 69, -w^3 - 2*w^2 + 2*w + 7]', '[4761, 69, 4*w^3 - w^2 - 14*w + 5]', '[4761, 207, 2*w^4 - w^3 - 8*w^2 - w + 7]', '[4761, 207, w^4 - w^3 - 7*w^2 + 8]', '[4761, 1587, w^3 - 2*w^2 - w - 3]', '[4761, 1587, 3*w^4 - 2*w^3 - 13*w^2 + 7*w - 4]', '[4761, 4761, w^4 - 3*w^3 - 4*w^2 + 9*w + 3]', '[4769, 4769, -2*w^4 + 2*w^3 + 8*w^2 - 11*w - 1]', '[4771, 4771, 4*w^4 - 3*w^3 - 23*w^2 + 9*w + 17]', '[4777, 4777, -6*w^4 + 5*w^3 + 26*w^2 - 18*w - 2]', '[4779, 177, w^4 + 4*w^3 - 6*w^2 - 17*w + 2]', '[4779, 531, -3*w^4 + w^3 + 13*w^2 - 2*w + 4]', '[4779, 531, -4*w^4 + 4*w^3 + 21*w^2 - 17*w - 15]', '[4779, 531, w^4 - w^3 - 8*w^2 + 6*w + 11]', '[4779, 531, -5*w^4 + 5*w^3 + 22*w^2 - 16*w - 6]', '[4779, 4779, -w^4 + 3*w^3 + 5*w^2 - 10*w - 5]', '[4783, 4783, -3*w^4 + 4*w^3 + 15*w^2 - 13*w - 10]', '[4783, 4783, -4*w^4 + 6*w^3 + 19*w^2 - 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7*w - 9]', '[4883, 4883, -2*w^4 + 4*w^3 + 8*w^2 - 13*w - 2]', '[4883, 4883, 4*w^4 - 6*w^3 - 15*w^2 + 19*w - 2]', '[4896, 102, 2*w^4 - 10*w^2 - 4*w + 6]', '[4896, 102, 4*w^4 - 20*w^2 + 6]', '[4896, 306, -4*w^4 + 2*w^3 + 18*w^2 - 6*w - 6]', '[4897, 4897, -w^3 + 3*w^2 + 6*w - 5]', '[4897, 4897, -4*w^4 + 3*w^3 + 18*w^2 - 10*w - 8]', '[4897, 4897, -3*w^3 + 11*w + 1]', '[4897, 4897, -5*w^4 + 3*w^3 + 27*w^2 - 13*w - 15]', '[4897, 4897, -4*w^4 + 2*w^3 + 21*w^2 - 6*w - 10]', '[4899, 4899, -w^4 + 2*w^3 + 6*w^2 - 6*w - 9]', '[4903, 4903, w^4 - w^3 - 8*w^2 + 9*w + 4]', '[4909, 4909, w^4 - 2*w^3 - 5*w^2 + 5*w + 8]', '[4911, 4911, -5*w^4 + 3*w^3 + 24*w^2 - 14*w - 15]', '[4913, 17, -3*w^4 + 3*w^3 + 10*w^2 - 11*w + 13]', '[4913, 17, -3*w^4 - 3*w^3 + 10*w^2 + 9*w]', '[4913, 4913, -3*w^4 + 2*w^3 + 12*w^2 - 6*w - 5]', '[4919, 4919, 2*w^4 - 2*w^3 - 11*w^2 + 9*w + 2]', '[4927, 4927, -4*w^4 + 5*w^3 + 13*w^2 - 13*w + 3]', '[4927, 4927, 3*w^4 - 3*w^3 - 10*w^2 + w + 6]', '[4927, 4927, w^4 - 6*w^2 - w + 11]', '[4927, 4927, 3*w^4 - 2*w^3 - 11*w^2 - w + 7]', '[4927, 4927, -5*w^4 + 8*w^3 + 21*w^2 - 29*w + 3]', '[4929, 4929, -w^3 + 3*w^2 + 7*w - 9]', '[4931, 4931, 3*w^4 - 2*w^3 - 11*w^2 + 2*w - 2]', '[4941, 183, -8*w^4 - 2*w^3 + 39*w^2 + 13*w - 10]', '[4941, 549, 7*w^4 - 3*w^3 - 33*w^2 + 6*w + 16]', '[4941, 549, w^3 + 3*w^2 - 8*w - 9]', '[4941, 549, 8*w^4 - 39*w^2 - 6*w + 10]', '[4941, 549, -8*w^4 + 4*w^3 + 40*w^2 - 10*w - 23]', '[4941, 4941, -5*w^4 + 25*w^2 - 11]', '[4943, 4943, 4*w^4 - 3*w^3 - 18*w^2 + 13*w + 5]', '[4947, 4947, 5*w^4 - 5*w^3 - 19*w^2 + 14*w - 4]', '[4951, 4951, 2*w^4 - w^3 - 7*w^2 - 4*w + 4]', '[4953, 4953, 2*w^4 + 2*w^3 - 11*w^2 - 4*w + 4]', '[4957, 4957, 3*w^4 - 15*w^2 + 2*w + 6]', '[4957, 4957, 4*w^4 - 2*w^3 - 18*w^2 + 5*w + 7]', '[4957, 4957, -2*w^4 - w^3 + 12*w^2 + 3*w - 9]', '[4957, 4957, -2*w^4 + 9*w^2 + w - 8]', '[4957, 4957, -w^4 + w^3 + 7*w^2 - 2*w - 11]', '[4967, 4967, -2*w^4 + w^3 + 8*w^2 - w + 4]', '[4969, 4969, 6*w^4 - 4*w^3 - 28*w^2 + 11*w + 12]', '[4971, 4971, -13*w^4 + 9*w^3 + 66*w^2 - 35*w - 43]', '[4973, 4973, -w^3 + 2*w^2 + 7*w - 7]', '[4979, 4979, -2*w^4 + 3*w^3 + 5*w^2 - 13*w + 9]', '[4979, 4979, -w^3 - 3*w^2 + 4*w + 11]', '[4979, 4979, -5*w^4 + 4*w^3 + 26*w^2 - 13*w - 14]', '[4979, 4979, 2*w^3 - 4*w^2 - 5*w + 5]', '[4979, 4979, -w^4 - 3*w^3 + 6*w^2 + 13*w - 8]', '[4981, 4981, -w^4 + 4*w^3 + 5*w^2 - 16*w - 5]', '[4989, 4989, -2*w^4 - 2*w^3 + 12*w^2 + 9*w - 12]', '[4999, 4999, -5*w^4 + 2*w^3 + 25*w^2 - 4*w - 17]', '[5001, 5001, 5*w^4 - 3*w^3 - 29*w^2 + 12*w + 24]', '[5001, 5001, -5*w^4 + 3*w^3 + 22*w^2 - 11*w - 1]', '[5001, 5001, 2*w^4 - 2*w^3 - 11*w^2 + 11*w + 6]', '[5001, 5001, 8*w^4 - 6*w^3 - 39*w^2 + 17*w + 30]', '[5001, 5001, 12*w^4 - 8*w^3 - 62*w^2 + 26*w + 47]', '[5003, 5003, w^4 - 4*w^3 - 4*w^2 + 14*w - 1]', '[5007, 5007, 8*w^4 - 8*w^3 - 41*w^2 + 29*w + 27]', '[5011, 5011, -5*w^4 + 2*w^3 + 21*w^2 - 4*w + 1]', '[5021, 5021, w^4 + 3*w^3 - 4*w^2 - 12*w - 4]', '[5023, 5023, -3*w^4 + 3*w^3 + 15*w^2 - 11*w - 4]', '[5024, 314, 4*w^4 - 2*w^3 - 18*w^2 + 8*w + 4]', '[5039, 5039, -3*w^4 + w^3 + 12*w^2 - 3*w - 3]', '[5041, 71, 2*w^3 + w^2 - 5*w - 5]', '[5041, 71, w^4 - 4*w^3 - 4*w^2 + 16*w - 7]', '[5041, 5041, w^4 + w^3 - 2*w^2 - 5*w - 4]', '[5053, 5053, -3*w^4 + 2*w^3 + 10*w^2 - 13*w + 5]', '[5057, 5057, -8*w^4 + 4*w^3 + 41*w^2 - 14*w - 30]', '[5063, 5063, -7*w^4 + 3*w^3 + 32*w^2 - 10*w - 1]', '[5063, 5063, -4*w^4 + 2*w^3 + 19*w^2 - 8*w - 7]', '[5063, 5063, 4*w^4 - w^3 - 16*w^2 + 3*w - 3]', '[5063, 5063, -2*w^4 + 3*w^3 + 9*w^2 - 7*w + 2]', '[5063, 5063, -5*w^4 + 4*w^3 + 25*w^2 - 17*w - 10]', '[5069, 5069, w^4 + 4*w^3 - 5*w^2 - 20*w + 5]', '[5077, 5077, -4*w^4 + 5*w^3 + 17*w^2 - 17*w]', '[5079, 5079, 3*w^4 - 18*w^2 - w + 17]', '[5079, 5079, 3*w^4 - 13*w^2 - 4*w - 3]', '[5079, 5079, -5*w^4 + 3*w^3 + 25*w^2 - 14*w - 16]', '[5079, 5079, -4*w^4 + 2*w^3 + 21*w^2 - 3*w - 21]', '[5079, 5079, 2*w^4 + 2*w^3 - 11*w^2 - 8*w + 6]', '[5081, 5081, 2*w^4 + 2*w^3 - 8*w^2 - 11*w + 4]', '[5083, 5083, -w^4 + 2*w^3 + 8*w^2 - 8*w - 6]', '[5088, 318, -2*w^4 + 2*w^3 + 12*w^2 - 6*w - 14]', '[5097, 5097, w^4 - 5*w^2 + 2*w + 9]', '[5107, 5107, -w^3 + w^2 + 8*w - 4]', '[5109, 5109, -w^4 + 2*w^3 - 4*w + 5]', '[5111, 5111, 3*w^4 - 2*w^3 - 15*w^2 + 11*w + 1]', '[5121, 1707, 5*w^4 - 3*w^3 - 26*w^2 + 12*w + 23]', '[5121, 1707, 6*w^4 - 7*w^3 - 31*w^2 + 25*w + 18]', '[5121, 5121, 5*w^4 - 3*w^3 - 26*w^2 + 8*w + 20]', '[5127, 5127, -7*w^4 + 4*w^3 + 38*w^2 - 17*w - 29]', '[5139, 1713, -w^4 + w^3 + 4*w^2 - w + 5]', '[5139, 1713, -w^4 - 3*w^3 + 4*w^2 + 12*w + 2]', '[5139, 5139, 4*w^4 - 2*w^3 - 17*w^2 + 3*w + 5]', '[5141, 5141, 3*w^2 - 8]', '[5143, 5143, 3*w^3 - 3*w^2 - 10*w + 7]', '[5147, 5147, -2*w^4 + 10*w^2 + 3*w - 10]', '[5149, 5149, -2*w^4 + 2*w^3 + 6*w^2 - 5*w + 3]', '[5151, 5151, 2*w^4 - 12*w^2 + 4*w - 1]', '[5153, 5153, -7*w^4 + 2*w^3 + 30*w^2 - 3*w - 1]', '[5157, 573, 2*w^3 - w^2 - 4*w - 4]', '[5157, 573, -w^4 + w^3 + 6*w^2 - 8*w - 3]', '[5157, 5157, -3*w^2 + w + 7]', '[5161, 5161, 2*w^4 - 4*w^3 - 9*w^2 + 14*w + 3]', '[5161, 5161, -w^4 - 3*w^3 + 12*w^2 + 5*w - 14]', '[5161, 5161, 4*w^4 - 4*w^3 - 21*w^2 + 22*w + 1]', '[5161, 5161, 3*w^4 - 3*w^3 - 14*w^2 + 8*w + 6]', '[5161, 5161, 6*w^4 - 7*w^3 - 26*w^2 + 25*w + 3]', '[5163, 5163, -2*w^4 + 2*w^3 + 13*w^2 - 7*w - 13]', '[5167, 5167, w^4 - 4*w^3 - 4*w^2 + 15*w]', '[5169, 5169, -9*w^4 + 8*w^3 + 49*w^2 - 28*w - 36]', '[5171, 5171, 2*w^3 - 3*w^2 - 9*w + 7]', '[5177, 5177, 2*w^4 - w^3 - 8*w^2 + 10*w - 1]', '[5179, 5179, -3*w^4 + w^3 + 15*w^2 - 10]', '[5189, 5189, 4*w^4 - 21*w^2 + w + 7]', '[5199, 5199, -4*w^4 + 3*w^3 + 24*w^2 - 10*w - 21]', '[5211, 579, 2*w^4 - w^3 - 10*w^2 + 8*w - 3]', '[5211, 579, -3*w^4 + 5*w^3 + 13*w^2 - 24*w + 4]', '[5211, 5211, -4*w^4 + 6*w^3 + 14*w^2 - 22*w + 7]', '[5213, 5213, 2*w^4 - 4*w^3 - 5*w^2 + 10*w + 1]', '[5213, 5213, -2*w^4 + 5*w^3 + 7*w^2 - 17*w + 2]', '[5213, 5213, 4*w^4 - 3*w^3 - 20*w^2 + 14*w + 8]', '[5216, 326, -2*w^2 - 4*w + 6]', '[5221, 5221, 4*w^4 - 4*w^3 - 21*w^2 + 17*w + 16]', '[5223, 5223, 3*w^4 - 17*w^2 + 14]', '[5227, 5227, -3*w^4 + 2*w^3 + 16*w^2 - 7*w - 7]', '[5227, 5227, 5*w^4 - 3*w^3 - 23*w^2 + 11*w + 3]', '[5227, 5227, 3*w^4 + 4*w^3 - 14*w^2 - 20*w + 6]', '[5227, 5227, -3*w^4 - 4*w^3 + 16*w^2 + 18*w - 7]', '[5227, 5227, 4*w^4 - 4*w^3 - 22*w^2 + 17*w + 11]', '[5237, 5237, -w^4 + 6*w^3 + 2*w^2 - 24*w + 4]', '[5239, 403, -4*w^4 + 4*w^3 + 16*w^2 - 15*w - 3]', '[5239, 403, -4*w^4 + 6*w^3 + 18*w^2 - 22*w + 1]', '[5239, 5239, 2*w^4 - 2*w^3 - 8*w^2 + 10*w - 5]', '[5241, 5241, -w^4 + 3*w^3 + 5*w^2 - 9*w - 4]', '[5261, 5261, -4*w^4 + 2*w^3 + 19*w^2 - 11*w - 11]', '[5263, 5263, -3*w^4 + 12*w^2 + 3*w + 1]', '[5273, 5273, w^4 - 2*w^3 + 8*w - 9]', '[5277, 5277, 4*w^4 - w^3 - 20*w^2 + 4*w + 7]', '[5279, 5279, 4*w^4 - 4*w^3 - 18*w^2 + 13*w + 3]', '[5281, 5281, 2*w^4 - 4*w^3 - 10*w^2 + 15*w + 8]', '[5293, 5293, -2*w^4 + 2*w^3 + 11*w^2 - 7*w - 3]', '[5297, 5297, -2*w^4 + 3*w^3 + 10*w^2 - 14*w - 5]', '[5301, 1767, -3*w^4 + 3*w^3 + 16*w^2 - 11*w - 7]', '[5301, 1767, -3*w^4 + w^3 + 14*w^2 - 2*w - 10]', '[5301, 5301, 3*w^4 - 16*w^2 + w + 14]', '[5303, 5303, w^4 - w^2 - 5*w - 7]', '[5303, 5303, 6*w^4 - 26*w^2 - 7*w + 2]', '[5303, 5303, w^4 - 3*w^3 - 5*w^2 + 9*w + 5]', '[5303, 5303, 2*w^4 + 2*w^3 - 9*w^2 - 6*w - 1]', '[5303, 5303, -2*w^4 + 2*w^3 + 6*w^2 - 2*w + 3]', '[5309, 5309, -w^4 + 2*w^3 + 6*w^2 - 13*w]', '[5333, 5333, -2*w^4 + 2*w^3 + 8*w^2 - 7*w + 6]', '[5337, 1779, 7*w^4 - 3*w^3 - 36*w^2 + 9*w + 25]', '[5337, 1779, 9*w^4 - 5*w^3 - 46*w^2 + 16*w + 26]', '[5337, 5337, 4*w^4 - 4*w^3 - 23*w^2 + 19*w + 19]', '[5339, 5339, -w^4 + 6*w^3 + 2*w^2 - 27*w + 10]', '[5343, 5343, 3*w^3 + 2*w^2 - 6*w - 5]', '[5344, 334, 2*w^4 - 10*w^2 + 4*w + 2]', '[5347, 5347, -w^4 + 2*w^3 + 2*w^2 - 8*w]', '[5351, 5351, -2*w^4 - w^3 + 11*w^2 - w - 4]', '[5351, 5351, -2*w^4 + 8*w^2 + 2*w - 5]', '[5351, 5351, -2*w^4 + 8*w^2 + 5*w - 5]', '[5351, 5351, -5*w^4 + 2*w^3 + 23*w^2 - 6*w - 12]', '[5351, 5351, -3*w^4 + w^3 + 17*w^2 - 6*w - 15]', '[5353, 5353, 4*w^4 - 2*w^3 - 19*w^2 + 12*w + 8]', '[5359, 5359, -2*w^3 - 2*w^2 + 9*w + 4]', '[5367, 5367, -11*w^4 + 7*w^3 + 55*w^2 - 27*w - 40]', '[5373, 597, 5*w^4 - 5*w^3 - 21*w^2 + 16*w + 3]', '[5373, 597, 2*w^4 + 2*w^3 - 13*w^2 - 7*w + 9]', '[5373, 5373, -w^4 - 2*w^3 + 7*w^2 + 11*w - 12]', '[5377, 5377, -8*w^4 + 11*w^3 + 33*w^2 - 41*w + 6]', '[5381, 5381, w^4 + 3*w^3 - 8*w^2 - 9*w + 5]', '[5387, 5387, 2*w^4 + 2*w^3 - 12*w^2 - 10*w + 9]', '[5389, 5389, -w^4 - 2*w^3 + 7*w^2 + 12*w - 6]', '[5407, 5407, 2*w^4 + 2*w^3 - 10*w^2 - 7*w - 2]', '[5408, 26, -4*w^4 + 4*w^3 + 18*w^2 - 14*w - 10]', '[5408, 26, 2*w^4 - 4*w^3 - 10*w^2 + 16*w + 4]', '[5408, 338, -2*w^4 + 10*w^2 + 4*w - 8]', '[5421, 5421, 3*w^4 - 18*w^2 + 2*w + 8]', '[5427, 201, 4*w^4 + 4*w^3 - 21*w^2 - 23*w + 5]', '[5427, 603, -2*w^4 + 5*w^3 + 12*w^2 - 19*w - 12]', '[5427, 603, -7*w^4 + 30*w^2 + 3*w + 1]', '[5427, 603, -w^3 - w^2 + 7*w + 9]', '[5427, 603, -6*w^4 + 4*w^3 + 27*w^2 - 14*w - 6]', '[5427, 5427, -w^4 + w^3 + 2*w^2 - 10*w - 4]', '[5433, 5433, -5*w^4 + 2*w^3 + 21*w^2 - 5*w + 2]', '[5443, 5443, 4*w^4 - 4*w^3 - 16*w^2 + 15*w]', '[5449, 5449, -w^4 - w^3 + 4*w^2 + 5*w - 6]', '[5451, 5451, -w^4 + 5*w^3 + 4*w^2 - 19*w - 8]', '[5457, 5457, w^4 - 2*w^2 - 2*w - 4]', '[5469, 5469, 3*w^3 - 2*w^2 - 8*w + 6]', '[5471, 5471, 3*w^4 - 3*w^3 - 10*w^2 + 5*w + 2]', '[5472, 114, 2*w^4 - 4*w^3 - 8*w^2 + 18*w]', '[5472, 114, -2*w^4 + 8*w^2 + 4]', '[5472, 342, -2*w^4 + 2*w^3 + 8*w^2 - 8*w - 6]', '[5473, 5473, 9*w^4 - 8*w^3 - 47*w^2 + 27*w + 29]', '[5473, 5473, -4*w^4 + 6*w^3 + 17*w^2 - 19*w - 10]', '[5473, 5473, 2*w^4 - 4*w^3 - 7*w^2 + 15*w]', '[5473, 5473, -w^4 - w^3 + 6*w^2 - w - 6]', '[5473, 5473, -w^4 + w^3 + w^2 - 2*w + 4]', '[5477, 5477, -2*w^4 + w^3 + 14*w^2 - 2*w - 15]', '[5479, 5479, -2*w^4 + 3*w^3 + 8*w^2 - 11*w - 4]', '[5483, 5483, w^4 - 2*w^2 - w - 4]', '[5487, 5487, 4*w^4 - 4*w^3 - 19*w^2 + 16*w + 12]', '[5491, 323, -4*w^4 + 10*w^3 + 15*w^2 - 40*w + 3]', '[5491, 323, 3*w^4 - 11*w^2 - 4*w]', '[5491, 5491, w^4 - w^3 - w^2 + 5*w - 7]', '[5493, 5493, 3*w^4 - 2*w^3 - 15*w^2 + 11*w + 12]', '[5507, 5507, 4*w^4 - w^3 - 17*w^2 + 4]', '[5517, 1839, 2*w^4 - 7*w^2 - 6]', '[5517, 1839, -3*w^4 + 5*w^3 + 12*w^2 - 22*w - 1]', '[5517, 5517, -2*w^4 - w^3 + 10*w^2 + 7*w - 8]', '[5519, 5519, -2*w^4 + 11*w^2 - 4*w - 3]', '[5527, 5527, 3*w^4 + w^3 - 16*w^2 - 5*w + 10]', '[5529, 5529, 5*w^4 - 5*w^3 - 21*w^2 + 15*w + 5]', '[5541, 5541, -4*w^4 + 2*w^3 + 24*w^2 - 5*w - 23]', '[5553, 1851, -4*w^4 + 2*w^3 + 19*w^2 - 10*w - 16]', '[5553, 1851, -3*w^4 + 5*w^3 + 18*w^2 - 16*w - 13]', '[5553, 5553, -4*w^4 + 3*w^3 + 20*w^2 - 7*w - 14]', '[5561, 5561, -3*w^3 - w^2 + 13*w + 3]', '[5561, 5561, w^3 + w^2 - 8*w - 3]', '[5561, 5561, -3*w^4 + 2*w^3 + 11*w^2 - 3*w - 4]', '[5561, 5561, 6*w^4 - 3*w^3 - 29*w^2 + 11*w + 14]', '[5561, 5561, w - 6]', '[5567, 5567, -2*w^4 + 9*w^2 - w + 5]', '[5581, 5581, 2*w^3 - 3*w^2 - 8*w + 5]', '[5589, 69, -3*w^2 + 9]', '[5589, 207, 2*w^4 - 3*w^3 - 9*w^2 + 12*w + 7]', '[5589, 207, 4*w^4 - 5*w^3 - 17*w^2 + 20*w + 4]', '[5589, 621, w^3 + w^2 - 2*w + 4]', '[5589, 621, w^4 - 4*w^3 - 6*w^2 + 14*w]', '[5589, 5589, 2*w^4 + w^3 - 10*w^2 - 5*w - 2]', '[5591, 5591, 3*w^4 - w^3 - 14*w^2 + 8*w + 8]', '[5601, 5601, -6*w^4 + 6*w^3 + 29*w^2 - 24*w - 14]', '[5601, 5601, -3*w^3 + w^2 + 10*w]', '[5601, 5601, 3*w^4 - w^3 - 17*w^2 + 7*w + 14]', '[5601, 5601, -5*w^4 + 4*w^3 + 26*w^2 - 15*w - 14]', '[5601, 5601, 3*w^4 - 4*w^3 - 16*w^2 + 15*w + 9]', '[5603, 5603, -6*w^4 + 8*w^3 + 26*w^2 - 28*w - 9]', '[5609, 5609, -3*w^4 + 4*w^3 + 13*w^2 - 16*w - 5]', '[5613, 5613, 5*w^4 - 2*w^3 - 27*w^2 + 9*w + 20]', '[5619, 5619, -7*w^4 + 5*w^3 + 37*w^2 - 21*w - 25]', '[5631, 5631, -2*w^4 + 4*w^3 + 8*w^2 - 13*w - 3]', '[5631, 5631, 5*w^4 - 4*w^3 - 24*w^2 + 16*w + 16]', '[5631, 5631, -3*w^4 + 3*w^3 + 11*w^2 - 7*w - 3]', '[5631, 5631, -4*w^4 + 4*w^3 + 20*w^2 - 17*w - 11]', '[5631, 5631, 6*w^4 - 7*w^3 - 32*w^2 + 20*w + 24]', '[5641, 5641, 6*w^4 - 3*w^3 - 28*w^2 + 7*w + 12]', '[5647, 5647, 7*w^4 - 4*w^3 - 34*w^2 + 12*w + 18]', '[5651, 5651, -2*w^4 + 3*w^3 + 9*w^2 - 14*w - 5]', '[5661, 1887, -4*w^4 - w^3 + 22*w^2 + 5*w - 7]', '[5661, 1887, -4*w^4 + w^3 + 17*w^2 - 5]', '[5661, 5661, 3*w^4 - w^3 - 15*w^2 - w + 7]', '[5664, 354, -6*w^4 + 6*w^3 + 30*w^2 - 20*w - 20]', '[5669, 5669, 3*w^4 - 16*w^2 - 5*w + 7]', '[5669, 5669, -3*w^4 + 16*w^2 - w - 10]', '[5669, 5669, -4*w^4 + 3*w^3 + 21*w^2 - 7*w - 11]', '[5669, 5669, 3*w^4 - 2*w^3 - 14*w^2 + 3*w + 5]', '[5669, 5669, 4*w^4 - w^3 - 19*w^2 + 3*w + 12]', '[5671, 5671, -4*w^4 + 2*w^3 + 20*w^2 - 9*w - 10]', '[5673, 5673, 6*w^4 - 3*w^3 - 32*w^2 + 8*w + 19]', '[5679, 1893, -5*w^4 + 4*w^3 + 20*w^2 - 18*w]', '[5679, 1893, -w^3 + 3*w^2 + 8*w - 6]', '[5679, 5679, w^4 - w^3 - 5*w^2 + 5*w - 4]', '[5681, 5681, -2*w^4 - w^3 + 9*w^2 + 3*w - 9]', '[5683, 5683, 3*w^4 - 2*w^3 - 12*w^2 + 5*w + 4]', '[5683, 5683, -3*w^4 + w^3 + 16*w^2 - 3*w - 17]', '[5683, 5683, -2*w^4 - 2*w^3 + 11*w^2 + 10*w]', '[5683, 5683, 4*w^3 - w^2 - 14*w + 7]', '[5683, 5683, w^4 - w^3 - 2*w^2 + w - 7]', '[5689, 5689, w^4 - 4*w^3 - 5*w^2 + 14*w + 1]', '[5693, 5693, -w^4 + 2*w^3 + 8*w^2 - 7*w - 10]', '[5697, 633, 4*w^4 - 2*w^3 - 17*w^2 + 8*w + 4]', '[5697, 633, 2*w^4 - 12*w^2 - 3*w + 7]', '[5697, 5697, -w^4 + w^3 + 2*w^2 + w + 4]', '[5701, 5701, -5*w^4 + 2*w^3 + 22*w^2 - 5*w + 3]', '[5703, 5703, -5*w^4 + 4*w^3 + 26*w^2 - 11*w - 19]', '[5707, 5707, -3*w^4 + 2*w^3 + 13*w^2 - 13]', '[5711, 5711, -w^4 + 3*w^3 + w^2 - 11*w + 5]', '[5723, 5723, -3*w^4 + 13*w^2 + 2*w - 6]', '[5727, 5727, 6*w^4 - 4*w^3 - 25*w^2 + 9*w]', '[5727, 5727, 9*w^4 - 4*w^3 - 41*w^2 + 10*w + 5]', '[5727, 5727, 2*w^4 - 10*w^2 - 4*w + 7]', '[5727, 5727, 2*w^4 + 2*w^3 - 11*w^2 - 10*w + 10]', '[5727, 5727, -3*w^3 + 10*w + 7]', '[5729, 5729, -4*w^4 + 3*w^3 + 21*w^2 - 8*w - 9]', '[5729, 5729, -5*w^4 + 4*w^3 + 22*w^2 - 16*w - 4]', '[5729, 5729, 2*w^4 + 2*w^3 - 9*w^2 - 5*w + 8]', '[5729, 5729, 3*w^4 + 3*w^3 - 15*w^2 - 13*w + 9]', '[5729, 5729, 4*w^3 - 2*w^2 - 17*w + 9]', '[5737, 5737, -w^4 + 7*w^2 - 2*w - 10]', '[5739, 5739, -6*w^4 + 4*w^3 + 30*w^2 - 13*w - 24]', '[5741, 5741, w^4 - 2*w^3 - w^2 + 10*w - 6]', '[5743, 5743, -3*w^4 + w^3 + 17*w^2 - 2*w - 11]', '[5749, 5749, 4*w^4 - 3*w^3 - 16*w^2 + 12*w + 5]', '[5751, 213, -w^4 - w^3 + 3*w^2 + 2*w + 4]', '[5751, 639, 7*w^4 - 4*w^3 - 36*w^2 + 17*w + 27]', '[5751, 639, -2*w^4 + 2*w^3 + 8*w^2 - 10*w - 5]', '[5751, 639, -4*w^4 + 4*w^3 + 23*w^2 - 15*w - 17]', '[5751, 639, 3*w^4 - 2*w^3 - 16*w^2 + 4*w + 14]', '[5751, 5751, w^4 - 4*w^3 - 9*w^2 + 9*w + 10]', '[5757, 5757, 2*w^4 - 12*w^2 + 5*w + 3]', '[5759, 5759, -3*w^4 + 4*w^3 + 10*w^2 - 13*w + 7]', '[5769, 1923, -2*w^3 + 3*w^2 + 10*w - 6]', '[5769, 1923, -5*w^4 + 5*w^3 + 20*w^2 - 20*w + 1]', '[5769, 5769, 2*w^4 - 3*w^3 - 6*w^2 + 7*w - 4]', '[5773, 5773, 5*w^4 - 2*w^3 - 23*w^2 + 4*w + 10]', '[5779, 5779, 2*w^4 - 2*w^3 - 11*w^2 + 10*w]', '[5783, 5783, -4*w^4 + 3*w^3 + 19*w^2 - 11*w - 3]', '[5783, 5783, 3*w^3 - 2*w^2 - 10*w + 6]', '[5783, 5783, -3*w^4 + 2*w^3 + 18*w^2 - 8*w - 11]', '[5783, 5783, -w^4 + 3*w^3 + 6*w^2 - 14*w - 5]', '[5783, 5783, -4*w^4 + 3*w^3 + 17*w^2 - 12*w + 4]', '[5787, 1929, -2*w^4 + w^3 + 8*w^2 - 5*w + 4]', '[5787, 1929, -3*w^4 + 3*w^3 + 17*w^2 - 13*w - 11]', '[5787, 1929, 6*w^4 - 2*w^3 - 30*w^2 + w + 12]', '[5787, 1929, 5*w^4 - 24*w^2 + 11]', '[5787, 1929, -w^3 + 5*w + 6]', '[5787, 1929, w^4 - 3*w^3 - 6*w^2 + 12*w + 4]', '[5787, 1929, w^4 + 3*w^3 - 5*w^2 - 12*w]', '[5787, 1929, 2*w^4 - 2*w^3 - 8*w^2 + 5*w - 4]', '[5787, 1929, -5*w^4 + 2*w^3 + 25*w^2 - 10*w - 15]', '[5787, 1929, -3*w^4 + 3*w^3 + 17*w^2 - 7*w - 14]', '[5787, 5787, 4*w^4 - 2*w^3 - 22*w^2 + 9*w + 19]', '[5787, 5787, 3*w^4 - 2*w^3 - 12*w^2 + 7]', '[5787, 5787, -2*w^4 + 17*w^2 - 9*w - 12]', '[5787, 5787, -4*w^3 + 3*w^2 + 12*w + 5]', '[5787, 5787, -4*w^4 + 3*w^3 + 15*w^2 - 4*w - 3]', '[5791, 5791, -3*w^4 + w^3 + 14*w^2 - 6*w - 5]', '[5791, 5791, 2*w^4 - 9*w^2 - 2*w + 7]', '[5791, 5791, 5*w^4 - 2*w^3 - 22*w^2 + 3*w + 5]', '[5791, 5791, -3*w^4 + 2*w^3 + 12*w^2 - 5*w + 5]', '[5791, 5791, -w^4 + 3*w^3 + 8*w^2 - 9*w - 11]', '[5793, 5793, -6*w^4 + 2*w^3 + 32*w^2 - 6*w - 27]', '[5801, 5801, -5*w^4 + 25*w^2 + w - 11]', '[5807, 5807, -3*w^4 + 3*w^3 + 15*w^2 - 8*w - 7]', '[5809, 5809, -4*w^4 + 4*w^3 + 18*w^2 - 15*w - 9]', '[5813, 5813, -4*w^4 + 3*w^3 + 18*w^2 - 8*w - 5]', '[5821, 5821, -3*w^4 + 3*w^3 + 12*w^2 - 9*w - 8]', '[5823, 1941, w^4 + w^3 - 4*w^2 - 2*w + 7]', '[5823, 1941, 2*w^4 - 5*w^3 - 11*w^2 + 17*w + 2]', '[5823, 5823, w^4 - w^3 - 4*w^2 - 2*w + 6]', '[5837, 5837, 2*w^4 - 2*w^3 - 9*w^2 + 2*w + 8]', '[5851, 5851, -4*w^4 + w^3 + 17*w^2 - 5*w - 7]', '[5851, 5851, -5*w^4 + 4*w^3 + 22*w^2 - 14*w - 4]', '[5851, 5851, 4*w^4 - w^3 - 17*w^2 - 2*w]', '[5851, 5851, 2*w^3 + w^2 - 6*w - 6]', '[5851, 5851, -3*w^4 + 2*w^3 + 12*w^2 - 6*w - 3]', '[5853, 5853, -9*w^4 + 9*w^3 + 49*w^2 - 30*w - 34]', '[5856, 366, -8*w^4 + 4*w^3 + 42*w^2 - 16*w - 28]', '[5857, 5857, w^4 - 2*w^3 - 7*w^2 + 9*w + 5]', '[5867, 5867, -3*w^4 + w^3 + 18*w^2 - 3*w - 16]', '[5879, 5879, 2*w^4 - 7*w^2 - 5*w - 4]', '[5881, 5881, 5*w^4 - w^3 - 22*w^2 - w + 7]', '[5883, 5883, -3*w^4 + 4*w^3 + 14*w^2 - 10*w - 8]', '[5893, 5893, -2*w^4 - w^3 + 12*w^2 + 5*w - 5]', '[5893, 5893, 3*w^4 - 3*w^3 - 13*w^2 + 8*w + 2]', '[5893, 5893, 3*w^4 + 3*w^3 - 15*w^2 - 18*w + 7]', '[5893, 5893, w^4 - 2*w^3 - 7*w^2 + 10*w + 6]', '[5893, 5893, 2*w^4 - 2*w^3 - 6*w^2 + 7*w - 4]', '[5897, 5897, w^4 - 3*w^3 - 3*w^2 + 11*w + 2]', '[5899, 5899, 2*w^4 - 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w^3 - 7*w^2 + 6*w + 12]', '[9843, 9843, 5*w^4 - 10*w^3 - 17*w^2 + 38*w - 8]', '[9851, 9851, -2*w^4 + 3*w^3 + 11*w^2 - 11*w - 1]', '[9853, 9853, -w^4 + w^3 + 6*w^2 - 9*w - 2]', '[9857, 9857, 3*w^3 - 4*w^2 - 11*w + 9]', '[9869, 9869, -4*w^4 + 2*w^3 + 17*w^2 - 7*w - 4]', '[9873, 3291, w^4 - 2*w^3 - 7*w^2 + 7*w + 13]', '[9873, 3291, 4*w^4 - 5*w^3 - 19*w^2 + 21*w + 9]', '[9873, 9873, 4*w^4 - 2*w^3 - 18*w^2 + w + 13]', '[9883, 9883, 4*w^4 - w^3 - 21*w^2 + w + 7]', '[9897, 9897, 6*w^4 - 6*w^3 - 36*w^2 + 16*w + 31]', '[9899, 9899, 2*w^4 - 5*w^3 - 7*w^2 + 17*w]', '[9901, 9901, -3*w^4 + 4*w^3 + 18*w^2 - 15*w - 15]', '[9903, 9903, -4*w^4 + 2*w^3 + 19*w^2 - 5*w - 15]', '[9903, 9903, 3*w^4 - 3*w^3 - 17*w^2 + 9*w + 17]', '[9903, 9903, -5*w^4 + 4*w^3 + 27*w^2 - 13*w - 16]', '[9903, 9903, -7*w^4 + 5*w^3 + 37*w^2 - 15*w - 28]', '[9903, 9903, -3*w^4 + 2*w^3 + 19*w^2 - 7*w - 15]', '[9907, 9907, 4*w^4 - 2*w^3 - 19*w^2 + 3*w + 5]', '[9909, 1101, 4*w^4 - 4*w^3 - 21*w^2 + 11*w + 12]', '[9909, 1101, 5*w^4 - w^3 - 25*w^2 + 5*w + 15]', '[9909, 9909, w^4 - 11*w^2 + 7*w + 11]', '[9913, 9913, 5*w^4 - 30*w^2 - 2*w + 31]', '[9929, 9929, -5*w^4 + 6*w^3 + 22*w^2 - 24*w - 7]', '[9937, 9937, -w^4 + 5*w^3 - 18*w + 8]', '[9939, 9939, -2*w^4 + 2*w^3 + 14*w^2 - 9*w - 13]', '[9941, 9941, -w^4 - w^3 + 6*w^2 + w - 9]', '[9943, 9943, 4*w^4 - w^3 - 20*w^2 + 6*w + 10]', '[9949, 9949, 3*w^4 - 14*w^2 - w + 15]', '[9951, 9951, 6*w^4 - 7*w^3 - 34*w^2 + 24*w + 27]', '[9953, 9953, 3*w^4 - w^3 - 13*w^2 + 6*w - 2]', '[9969, 9969, 3*w^4 - 3*w^3 - 18*w^2 + 13*w + 13]', '[9971, 767, w^4 + w^3 - 2*w^2 - 6*w - 6]', '[9971, 767, w^4 + w^3 - 6*w^2 - 8*w + 6]', '[9971, 9971, -w^3 - w^2 + 2*w + 10]', '[9973, 9973, 4*w^4 - 19*w^2 + w]', '[9981, 3327, 11*w^4 - 3*w^3 - 55*w^2 + 6*w + 24]', '[9981, 3327, 8*w^4 - 2*w^3 - 40*w^2 + 3*w + 22]', '[9981, 3327, -2*w^4 + 3*w^3 + 12*w^2 - 12*w - 8]', '[9981, 3327, -2*w^4 + 2*w^3 + 9*w^2 - 7*w - 10]', '[9981, 3327, w^4 - 5*w^2 + 9]', '[9981, 3327, 3*w^4 - 5*w^3 - 15*w^2 + 19*w + 4]', '[9981, 3327, 4*w^4 - w^3 - 17*w^2 + 3*w + 5]', '[9981, 3327, 3*w^4 - 17*w^2 - 3*w + 7]', '[9981, 3327, w^4 - 4*w^3 - 6*w^2 + 14*w + 5]', '[9981, 3327, 2*w^3 - w^2 - 5*w + 9]', '[9981, 9981, 3*w^4 - w^3 - 16*w^2 + 6*w + 15]', '[9981, 9981, 4*w^4 - 3*w^3 - 17*w^2 + 8*w + 6]', '[9981, 9981, -3*w^3 - 5*w^2 + 20*w + 13]', '[9981, 9981, 2*w^4 - 2*w^3 - 7*w^2 - w + 8]', '[9981, 9981, -2*w^4 + 2*w^3 + 4*w^2 + 3*w + 3]', '[9993, 9993, -7*w^4 + 4*w^3 + 38*w^2 - 16*w - 31]', '[9997, 9997, -6*w^4 + 3*w^3 + 27*w^2 - 14*w - 12]'], 'label': '5.5.160801.1', 'narrow_class_no': 1, 'primes': ['[3, 3, w^4 - w^3 - 5*w^2 + 3*w + 3]', '[9, 3, -w^4 + 5*w^2 - 3]', '[9, 3, -w^4 + w^3 + 5*w^2 - 3*w - 2]', '[13, 13, -w^4 + w^3 + 4*w^2 - 3*w - 1]', '[17, 17, w^4 - w^3 - 5*w^2 + 3*w + 1]', '[19, 19, -w^3 + w^2 + 4*w - 2]', '[23, 23, -w^2 + 3]', '[31, 31, w^3 - 4*w + 2]', '[32, 2, 2]', '[37, 37, w^3 - 3*w - 1]', '[53, 53, -2*w^4 + w^3 + 9*w^2 - 3*w - 2]', '[59, 59, -w^4 + 5*w^2 + w - 4]', '[61, 61, -w^4 + w^3 + 5*w^2 - 4*w]', '[67, 67, -w^4 + 6*w^2 + 2*w - 4]', '[71, 71, 2*w^4 - w^3 - 9*w^2 + 4*w + 5]', '[79, 79, 2*w^4 - w^3 - 10*w^2 + 2*w + 7]', '[83, 83, -w^4 + 2*w^3 + 5*w^2 - 7*w - 2]', '[83, 83, -w^4 + w^3 + 4*w^2 - 3*w + 3]', '[83, 83, w^4 - w^3 - 5*w^2 + 4*w - 1]', '[83, 83, -w^4 + w^3 + 4*w^2 - 4*w - 2]', '[83, 83, -2*w^4 + w^3 + 9*w^2 - 3*w - 5]', '[97, 97, -w^4 - w^3 + 6*w^2 + 4*w - 4]', '[101, 101, -w^4 + 4*w^2 + 2*w - 2]', '[107, 107, -2*w^4 + w^3 + 11*w^2 - 3*w - 7]', '[127, 127, w^3 - w^2 - 4*w]', '[131, 131, w^4 - w^3 - 4*w^2 + 2*w - 1]', '[137, 137, w^4 - w^3 - 6*w^2 + 3*w + 3]', '[139, 139, -2*w^4 + w^3 + 9*w^2 - 3*w + 1]', '[157, 157, 2*w^4 - w^3 - 9*w^2 + 4*w + 2]', '[163, 163, -w^2 - 2*w + 3]', '[167, 167, w^4 - 5*w^2 + 2*w + 1]', '[169, 13, -2*w^4 + 2*w^3 + 9*w^2 - 7*w - 5]', '[169, 13, w^4 - 2*w^3 - 5*w^2 + 8*w + 2]', '[191, 191, 2*w^4 - w^3 - 9*w^2 + 3*w + 4]', '[193, 193, 2*w^4 - 2*w^3 - 8*w^2 + 7*w]', '[199, 199, -w^4 + 2*w^3 + 5*w^2 - 9*w - 3]', '[211, 211, -3*w^4 + w^3 + 13*w^2 - 2*w - 1]', '[227, 227, 2*w^3 - w^2 - 9*w + 1]', '[233, 233, -w^3 + w^2 + 4*w + 1]', '[251, 251, -3*w^4 + 14*w^2 + w - 2]', '[257, 257, -2*w^4 + 2*w^3 + 10*w^2 - 6*w - 5]', '[257, 257, -w^4 + w^3 + 5*w^2 - 6*w - 1]', '[257, 257, 2*w^4 - 2*w^3 - 11*w^2 + 9*w + 9]', '[257, 257, -2*w^4 + 2*w^3 + 9*w^2 - 6*w - 3]', '[257, 257, 2*w^4 - w^3 - 10*w^2 + 5*w + 5]', '[269, 269, -w^4 + 2*w^3 + 4*w^2 - 6*w - 2]', '[271, 271, -w^4 + 4*w^2 + w - 3]', '[277, 277, -2*w^4 + 9*w^2 + w - 4]', '[281, 281, w^4 - w^3 - 3*w^2 + 3*w - 4]', '[283, 283, 2*w^4 - 3*w^3 - 8*w^2 + 13*w]', '[289, 17, -w^4 + w^3 + 7*w^2 - 5*w - 5]', '[289, 17, 4*w^4 - 3*w^3 - 19*w^2 + 11*w + 6]', '[293, 293, -2*w^4 + 11*w^2 - 7]', '[317, 317, w^3 - 6*w]', '[337, 337, -w^4 + 2*w^3 + 5*w^2 - 9*w - 1]', '[337, 337, w^4 - 2*w^3 - 5*w^2 + 6*w + 3]', '[337, 337, -w^4 + w^3 + 5*w^2 - 4*w - 6]', '[337, 337, -2*w^3 + 8*w + 1]', '[337, 337, w^2 + w - 5]', '[347, 347, -2*w^4 + w^3 + 9*w^2 - 5*w - 3]', '[349, 349, 3*w^4 - 2*w^3 - 13*w^2 + 8*w + 2]', '[353, 353, w^4 - 3*w^3 - 4*w^2 + 12*w + 2]', '[359, 359, 2*w^3 - w^2 - 7*w + 3]', '[361, 19, w^4 - 2*w^3 - 4*w^2 + 7*w + 3]', '[361, 19, w^4 - w^3 - 3*w^2 + 3*w - 3]', '[367, 367, -2*w^4 + w^3 + 9*w^2 - w - 2]', '[379, 379, -2*w^3 + w^2 + 7*w + 2]', '[379, 379, -2*w^4 + w^3 + 10*w^2 - 4*w]', '[379, 379, 2*w^3 - w^2 - 6*w - 2]', '[379, 379, -2*w^3 + 2*w^2 + 6*w - 3]', '[379, 379, -3*w^4 + 2*w^3 + 14*w^2 - 7*w - 6]', '[383, 383, 2*w^4 + w^3 - 10*w^2 - 7*w + 4]', '[383, 383, -2*w^3 + w^2 + 10*w]', '[383, 383, w^3 + w^2 - 5*w - 1]', '[383, 383, 3*w^4 + 3*w^3 - 15*w^2 - 15*w + 4]', '[383, 383, -2*w^4 + 3*w^3 + 10*w^2 - 10*w - 2]', '[389, 389, 3*w^4 - w^3 - 14*w^2 + 3*w + 3]', '[397, 397, w^4 - 6*w^2 - 2*w + 5]', '[397, 397, w^4 - 2*w^3 - 2*w^2 + 6*w - 5]', '[397, 397, 2*w^4 - 2*w^3 - 11*w^2 + 10*w + 6]', '[397, 397, w^4 - w^3 - 3*w^2 + 4*w - 6]', '[397, 397, w^3 + w^2 - 3*w - 4]', '[401, 401, w^3 - w^2 - 6*w + 3]', '[401, 401, -w^4 + 4*w^2 + 2*w - 3]', '[401, 401, -w^4 + 6*w^2 - w - 7]', '[421, 421, -w^4 - w^3 + 5*w^2 + 5*w - 4]', '[421, 421, -w^4 + w^3 + 6*w^2 - 3*w - 2]', '[421, 421, -w^4 - w^3 + 6*w^2 + 6*w - 5]', '[421, 421, 3*w^4 - w^3 - 15*w^2 + w + 10]', '[421, 421, 2*w^4 - 9*w^2 + 2*w + 4]', '[431, 431, 2*w^4 - 11*w^2 - 2*w + 11]', '[439, 439, 2*w^4 - 3*w^3 - 9*w^2 + 10*w + 6]', '[443, 443, -3*w^4 + 2*w^3 + 14*w^2 - 7*w - 2]', '[449, 449, -w^4 + 2*w^3 + 5*w^2 - 6*w - 4]', '[461, 461, 3*w^4 - 4*w^3 - 14*w^2 + 14*w + 5]', '[463, 463, w^3 - 6*w - 1]', '[467, 467, 3*w^4 - 3*w^3 - 13*w^2 + 10*w]', '[487, 487, 3*w^4 - w^3 - 14*w^2 + w + 3]', '[487, 487, 2*w^2 - w - 4]', '[487, 487, -2*w^4 + 2*w^3 + 9*w^2 - 8*w - 5]', '[487, 487, 2*w^4 - 10*w^2 - 3*w + 4]', '[487, 487, -2*w^4 + w^3 + 8*w^2 - 3*w - 1]', '[499, 499, -w^4 + 2*w^3 + 4*w^2 - 8*w - 2]', '[499, 499, -2*w^4 + w^3 + 10*w^2 - w - 9]', '[499, 499, -w^3 - 2*w^2 + 2*w + 5]', '[499, 499, -w^4 + 4*w^2 + 4*w]', '[499, 499, -2*w^4 + w^3 + 12*w^2 - 4*w - 9]', '[509, 509, 3*w^4 - 2*w^3 - 16*w^2 + 6*w + 9]', '[521, 521, -2*w^4 + w^3 + 10*w^2 - 5*w - 4]', '[523, 523, w - 4]', '[529, 23, -w^3 + 2*w^2 + 4*w - 4]', '[529, 23, w^4 + 2*w^3 - 6*w^2 - 11*w + 4]', '[569, 569, -2*w^4 + 11*w^2 - 10]', '[571, 571, -2*w^4 + w^3 + 10*w^2 - 3*w - 2]', '[593, 593, -2*w^4 + 3*w^3 + 10*w^2 - 11*w - 8]', '[613, 613, -2*w^3 + 2*w^2 + 9*w - 5]', '[617, 617, -2*w^4 + 10*w^2 - w - 7]', '[631, 631, -2*w^4 + 2*w^3 + 7*w^2 - 8*w + 3]', '[641, 641, -2*w^4 + 2*w^3 + 8*w^2 - 9*w + 3]', '[643, 643, -3*w^4 + w^3 + 13*w^2 - w + 1]', '[643, 643, w^4 + w^3 - 3*w^2 - 6*w - 2]', '[643, 643, -w^4 - w^3 + 6*w^2 + 3*w - 4]', '[643, 643, 2*w^4 - w^3 - 10*w^2 + 4*w + 1]', '[643, 643, 2*w^4 - 2*w^3 - 8*w^2 + 6*w + 5]', '[647, 647, -2*w^3 + w^2 + 6*w - 4]', '[659, 659, 4*w^4 - 3*w^3 - 19*w^2 + 11*w + 10]', '[661, 661, 2*w^4 + 3*w^3 - 11*w^2 - 14*w + 6]', '[673, 673, w^4 - 3*w^3 - 3*w^2 + 10*w - 1]', '[683, 683, w^4 - 2*w^3 - 4*w^2 + 6*w - 4]', '[701, 701, w^3 - w^2 - 2*w + 4]', '[727, 727, -w^4 + 6*w^2 + 2*w - 7]', '[743, 743, w^4 - w^3 - 7*w^2 + 5*w + 9]', '[769, 769, w^4 + 2*w^3 - 5*w^2 - 9*w + 4]', '[787, 787, w^4 + w^3 - 7*w^2 - 3*w + 5]', '[797, 797, -2*w^4 - w^3 + 10*w^2 + 4*w - 4]', '[797, 797, w^4 - 3*w^3 - 5*w^2 + 12*w + 5]', '[797, 797, -3*w^4 + 2*w^3 + 13*w^2 - 8*w]', '[797, 797, -w^4 + w^3 + 3*w^2 - 5*w - 1]', '[797, 797, 2*w^4 - 11*w^2 + 2*w + 7]', '[809, 809, -4*w^4 + 2*w^3 + 18*w^2 - 6*w + 1]', '[809, 809, 3*w^4 - 3*w^3 - 14*w^2 + 11*w + 8]', '[809, 809, w^4 - 2*w^3 - 2*w^2 + 8*w - 4]', '[809, 809, 2*w^4 - 8*w^2 - 2*w + 3]', '[809, 809, 2*w^4 - 3*w^3 - 9*w^2 + 13*w + 4]', '[821, 821, -2*w^4 + 2*w^3 + 8*w^2 - 6*w + 3]', '[823, 823, -2*w^4 + 3*w^3 + 8*w^2 - 12*w - 1]', '[829, 829, 2*w^4 - 3*w^3 - 10*w^2 + 13*w + 4]', '[839, 839, -2*w^4 + 12*w^2 - w - 10]', '[863, 863, 2*w^4 - w^3 - 9*w^2 + 5]', '[877, 877, -w^4 + w^3 + 5*w^2 - 5*w - 7]', '[881, 881, 2*w^4 - w^3 - 9*w^2 + w - 1]', '[887, 887, 3*w^4 - 3*w^3 - 15*w^2 + 11*w + 6]', '[907, 907, -3*w^4 + w^3 + 13*w^2 - w - 5]', '[919, 919, w^4 + w^3 - 3*w^2 - 5*w - 3]', '[929, 929, 2*w^4 - 3*w^3 - 10*w^2 + 9*w + 4]', '[937, 937, -2*w^4 + 10*w^2 + 3*w - 7]', '[941, 941, -w^4 + 2*w^3 + 3*w^2 - 6*w - 2]', '[961, 31, 2*w^4 + 2*w^3 - 10*w^2 - 12*w + 5]', '[961, 31, -w^4 + 5*w^2 - w - 7]', '[967, 967, -2*w^4 + w^3 + 9*w^2 - 3*w + 2]', '[991, 991, -3*w^4 + w^3 + 15*w^2 - 4*w - 5]', '[997, 997, -3*w^4 + 15*w^2 - 5]', '[997, 997, 2*w^4 - w^3 - 9*w^2 + 6*w + 2]', '[997, 997, 2*w^4 - w^3 - 11*w^2 + w + 7]', '[997, 997, 2*w^3 - 5*w - 1]', '[997, 997, 2*w^4 - 3*w^3 - 6*w^2 + 5*w + 1]']}
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nf_fields • Show schema
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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 3, 4, -5, -1, 1], 'conductor': 0, 'degree': 5, 'dirichlet_group': [], 'disc_abs': 160801, 'disc_rad': 401, 'disc_sign': 1, 'frobs': [[2, [[5, 1]]], [3, [[2, 2], [1, 1]]], [5, [[5, 1]]], [7, [[5, 1]]], [11, [[5, 1]]], [13, [[2, 2], [1, 1]]], [17, [[2, 2], [1, 1]]], [19, [[2, 2], [1, 1]]], [23, [[2, 2], [1, 1]]], [29, [[5, 1]]], [31, [[2, 2], [1, 1]]], [37, [[2, 2], [1, 1]]], [41, [[5, 1]]], [43, [[5, 1]]], [47, [[5, 1]]], [53, [[2, 2], [1, 1]]], [59, [[2, 2], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [5], 'galois_label': '5T2', 'galt': 2, 'grd': 20.024984394500787, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '5.5.160801.1', 'local_algs': ['m401.1.1.0', 'm401.2.1.1', 'm401.2.1.1'], 'monogenic': 1, 'num_ram': 1, 'r2': 0, 'ramps': [401], 'rd': 10.9965828103, 'regulator': {'__RealLiteral__': 0, 'data': '9.17494614126', 'prec': 44}, 'res': {'gal': ['-1,-2,20,2,-69,-1,69,2,-20,-2,1'], 'sib': ['-1,-2,20,2,-69,-1,69,2,-20,-2,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{4} - 5 a^{2} - a + 2 \\)', '\\( a^{4} - a^{3} - 4 a^{2} + 4 a - 1 \\)', '\\( a^{4} - a^{3} - 4 a^{2} + 3 a \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4']}