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hmf_forms • Show schema
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{'deg': 6, 'dimension': 2, 'disc': 1134389, 'field_bad_primes': [1134389], 'field_label': '6.6.1134389.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '6.6.1134389.1-19.2-c', 'label_nsuffix': 2, 'label_suffix': 'c', 'level_bad_primes': [19], 'level_ideal': '[19, 19, -w^4 + w^3 + 4*w^2 - 2*w - 2]', 'level_label': '19.2', 'level_norm': 19, 'parallel_weight': 2, 'short_label': '19.2-c', 'weight': '[2, 2, 2, 2, 2, 2]'}
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hmf_hecke • Show schema
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{'AL_eigenvalues': [['[19,19,-w^4+w^3+4*w^2-2*w-2]', -1]], 'hecke_eigenvalues': [0, 'e', '1/2*e', '-1/2*e', 1, '-e', '-3/2*e', -6, 0, -8, -11, -12, 0, '3*e', -2, '-5/2*e', '-2*e', '-1/2*e', '1/2*e', -4, 2, -18, -18, -14, -14, -16, -20, '-3*e', '-3*e', '1/2*e', '-1/2*e', '3/2*e', '4*e', 10, 'e', -22, 0, 8, '-4*e', -20, '9/2*e', 12, 10, '-1/2*e', 12, '4*e', '-1/2*e', 0, 0, '-1/2*e', 10, 22, 18, '5*e', '3/2*e', 28, '-5/2*e', 16, '3/2*e', 0, 8, 0, -34, '3/2*e', -20, -14, 0, '2*e', 18, '11/2*e', '-5*e', 8, '5/2*e', 8, '3/2*e', -10, 0, '-5*e', 32, 6, '3/2*e', -30, '4*e', '-9/2*e', '-3*e', 36, 0, -16, '5*e', 'e', '-3*e', 18, '3*e', '1/2*e', '-9/2*e', 20, '6*e', -20, '-7*e', -20, -4, '3/2*e', 2, 28, 28, '-7*e', '-e', '7/2*e', 24, '5*e', '6*e', 0, 44, -6, -34, 20, '-4*e', 14, -12, '5/2*e', 18, 18, '2*e', '6*e', '3*e', -40, -10, 6, '3*e', '-7/2*e', 40, -40, '-9/2*e', 10, -26, -6, -26, -2, -50, 22, 8, '3*e', '-1/2*e', '19/2*e', '-1/2*e', '17/2*e', '6*e', '-2*e', 6, '17/2*e', -48, -18, '6*e', '-5*e', '-5*e', '11/2*e', -46, '-10*e', 40, '3/2*e', -38, '3*e'], 'hecke_polynomial': 'x^2 - 32', 'label': '6.6.1134389.1-19.2-c'}
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hmf_fields • Show schema
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{'degree': 6, 'discriminant': 1134389, 'ideals': ['[1, 1, 1]', '[7, 7, w^2 - w - 2]', '[13, 13, w^4 - 2*w^3 - 3*w^2 + 5*w]', '[17, 17, -w^3 + w^2 + 3*w]', '[19, 19, w^3 - w^2 - 3*w + 1]', '[19, 19, -w^4 + w^3 + 4*w^2 - 2*w - 2]', '[23, 23, -w^4 + 2*w^3 + 3*w^2 - 3*w - 2]', '[31, 31, w^5 - 2*w^4 - 4*w^3 + 5*w^2 + 5*w - 1]', '[37, 37, -w^5 + 3*w^4 + 2*w^3 - 8*w^2 - w + 3]', '[37, 37, -w^5 + 2*w^4 + 4*w^3 - 6*w^2 - 4*w + 1]', '[47, 47, -w^3 + 2*w^2 + w - 3]', '[49, 49, w^5 - 2*w^4 - 3*w^3 + 4*w^2 + 1]', '[64, 2, -2]', '[67, 67, 2*w - 1]', '[79, 79, w^4 - w^3 - 4*w^2 + 2*w]', '[79, 79, -w^5 + 2*w^4 + 3*w^3 - 5*w^2 - w + 4]', '[91, 91, -w^5 + w^4 + 6*w^3 - 3*w^2 - 7*w + 1]', '[97, 97, w^5 - 2*w^4 - 3*w^3 + 6*w^2 - 3]', '[97, 97, w^5 - 3*w^4 - 2*w^3 + 9*w^2 - 2*w - 4]', '[101, 101, w^5 - 2*w^4 - 3*w^3 + 5*w^2 - w - 2]', '[101, 101, w^5 - 3*w^4 - 2*w^3 + 10*w^2 - w - 5]', '[103, 103, 2*w^5 - 3*w^4 - 9*w^3 + 8*w^2 + 8*w - 3]', '[107, 107, w^2 - 2*w - 3]', '[109, 109, 2*w^5 - 3*w^4 - 9*w^3 + 7*w^2 + 9*w - 2]', '[113, 113, w^4 - w^3 - 5*w^2 + 3*w + 3]', '[119, 119, 2*w^5 - 3*w^4 - 8*w^3 + 7*w^2 + 4*w - 2]', '[121, 11, -2*w^5 + 4*w^4 + 7*w^3 - 10*w^2 - 5*w + 5]', '[125, 5, -w^5 + w^4 + 6*w^3 - 3*w^2 - 8*w]', '[125, 5, -w^3 + 2*w^2 + 3*w - 2]', '[127, 127, -2*w^5 + 4*w^4 + 6*w^3 - 9*w^2 - 2*w + 2]', '[131, 131, -w^5 + 2*w^4 + 3*w^3 - 4*w^2 - 2]', '[133, 133, w^4 - 2*w^3 - 4*w^2 + 6*w + 4]', '[133, 133, w^5 - 2*w^4 - 4*w^3 + 6*w^2 + 5*w - 2]', '[137, 137, w^4 - 2*w^3 - 3*w^2 + 5*w + 3]', '[139, 139, -w^5 + 3*w^4 + 2*w^3 - 8*w^2 + w]', '[157, 157, -2*w^5 + 4*w^4 + 7*w^3 - 10*w^2 - 6*w + 2]', '[157, 157, -2*w^5 + 4*w^4 + 7*w^3 - 11*w^2 - 6*w + 6]', '[161, 161, w^5 - 2*w^4 - 3*w^3 + 4*w^2 + 2*w - 3]', '[169, 169, w^5 - 2*w^4 - 3*w^3 + 4*w^2 + 2*w + 2]', '[173, 173, -w^5 + 2*w^4 + 5*w^3 - 7*w^2 - 5*w + 3]', '[179, 179, -w^4 + w^3 + 6*w^2 - 4*w - 4]', '[181, 181, w^4 - w^3 - 4*w^2 - w + 2]', '[181, 181, -w^5 + 3*w^4 + 2*w^3 - 8*w^2 + 2*w]', '[181, 181, w^5 - 3*w^4 - 3*w^3 + 9*w^2 + 3*w - 3]', '[191, 191, w^4 - w^3 - 4*w^2 + w + 4]', '[191, 191, w^5 - 2*w^4 - 5*w^3 + 8*w^2 + 4*w - 3]', '[193, 193, -w^5 + w^4 + 5*w^3 - 2*w^2 - 6*w + 1]', '[211, 211, -3*w^5 + 6*w^4 + 11*w^3 - 16*w^2 - 9*w + 7]', '[217, 217, w^5 - 2*w^4 - 4*w^3 + 6*w^2 + 3*w - 5]', '[221, 221, w^5 - 2*w^4 - 4*w^3 + 6*w^2 + 5*w - 3]', '[223, 223, 2*w^5 - 6*w^4 - 3*w^3 + 17*w^2 - 4*w - 6]', '[227, 227, w^5 - 3*w^4 - w^3 + 8*w^2 - 3*w - 4]', '[229, 229, -w^5 + 3*w^4 + w^3 - 7*w^2 + 5*w]', '[233, 233, -w^5 + 2*w^4 + 2*w^3 - 3*w^2 - 1]', '[247, 247, 2*w^5 - 4*w^4 - 6*w^3 + 9*w^2 + 3*w - 3]', '[247, 247, -2*w^5 + 5*w^4 + 5*w^3 - 14*w^2 + 3]', '[251, 251, w^5 - 7*w^3 - 2*w^2 + 10*w + 1]', '[257, 257, 3*w^5 - 5*w^4 - 12*w^3 + 11*w^2 + 9*w - 1]', '[257, 257, -3*w^5 + 6*w^4 + 10*w^3 - 15*w^2 - 4*w + 3]', '[257, 257, -w^5 + 3*w^4 + 3*w^3 - 12*w^2 - w + 7]', '[259, 259, 2*w^5 - 4*w^4 - 8*w^3 + 12*w^2 + 6*w - 3]', '[259, 259, w^2 - 4]', '[263, 263, -2*w^5 + 6*w^4 + 4*w^3 - 17*w^2 + w + 5]', '[263, 263, -w^5 + 2*w^4 + 5*w^3 - 6*w^2 - 7*w + 2]', '[277, 277, -w^5 + 7*w^3 + 2*w^2 - 8*w - 5]', '[277, 277, w^5 - w^4 - 6*w^3 + 3*w^2 + 7*w - 2]', '[277, 277, -2*w^5 + 3*w^4 + 10*w^3 - 8*w^2 - 11*w + 2]', '[281, 281, -2*w^5 + 4*w^4 + 7*w^3 - 9*w^2 - 5*w + 1]', '[283, 283, -2*w^4 + 3*w^3 + 7*w^2 - 7*w - 2]', '[283, 283, -3*w^5 + 5*w^4 + 11*w^3 - 10*w^2 - 7*w]', '[289, 289, w^5 - w^4 - 5*w^3 + w^2 + 6*w - 1]', '[293, 293, -w^5 + 2*w^4 + 4*w^3 - 7*w^2 - 4*w + 2]', '[299, 299, w^5 - w^4 - 5*w^3 + w^2 + 5*w - 1]', '[311, 311, -2*w^5 + 5*w^4 + 6*w^3 - 14*w^2 - 3*w + 3]', '[311, 311, w^5 - 4*w^4 + 13*w^2 - 6*w - 6]', '[311, 311, -3*w^5 + 6*w^4 + 11*w^3 - 15*w^2 - 10*w + 3]', '[311, 311, -w^4 + w^3 + 4*w^2 - 2*w - 5]', '[317, 317, -2*w^5 + 4*w^4 + 6*w^3 - 8*w^2 - 3*w + 2]', '[317, 317, -w^5 + 8*w^3 - 11*w - 1]', '[323, 323, -2*w^4 + 3*w^3 + 8*w^2 - 5*w - 5]', '[323, 323, 2*w^5 - 4*w^4 - 8*w^3 + 11*w^2 + 7*w - 2]', '[329, 329, -w^5 + 3*w^4 + w^3 - 8*w^2 + w + 6]', '[331, 331, -w^4 + 6*w^2 + w - 5]', '[343, 343, -w^5 + w^4 + 4*w^3 - 3*w - 3]', '[347, 347, -2*w^4 + 4*w^3 + 5*w^2 - 6*w]', '[349, 349, 2*w^5 - 5*w^4 - 4*w^3 + 11*w^2 - 3*w]', '[349, 349, -2*w^4 + 4*w^3 + 5*w^2 - 8*w + 1]', '[349, 349, -2*w^5 + 4*w^4 + 7*w^3 - 9*w^2 - 4*w + 1]', '[353, 353, 2*w^5 - 4*w^4 - 8*w^3 + 13*w^2 + 7*w - 6]', '[353, 353, -w^5 + 2*w^4 + 2*w^3 - 2*w^2 + w - 4]', '[353, 353, -w^5 + w^4 + 4*w^3 - 3*w - 4]', '[359, 359, -2*w^5 + 5*w^4 + 7*w^3 - 16*w^2 - 6*w + 6]', '[359, 359, w^5 - 2*w^4 - 4*w^3 + 6*w^2 + w - 3]', '[361, 19, w^5 - w^4 - 4*w^3 + w^2 + 2*w - 2]', '[361, 361, w^5 - 4*w^4 - w^3 + 13*w^2 - w - 7]', '[361, 361, w^5 - w^4 - 6*w^3 + 3*w^2 + 6*w - 1]', '[367, 367, -w^5 + 2*w^4 + 2*w^3 - 2*w^2 + 2*w - 2]', '[367, 367, -w^5 + 3*w^4 + 2*w^3 - 9*w^2 - w + 2]', '[373, 373, w^5 - 2*w^4 - 3*w^3 + 6*w^2 - w - 3]', '[379, 379, -w^5 + 4*w^4 + w^3 - 14*w^2 + w + 8]', '[379, 379, -2*w^5 + 5*w^4 + 6*w^3 - 14*w^2 - 5*w + 4]', '[383, 383, -w^5 + w^4 + 6*w^3 - 4*w^2 - 7*w + 1]', '[389, 389, 2*w^4 - 3*w^3 - 7*w^2 + 5*w + 4]', '[391, 391, w^4 - 3*w^3 - 2*w^2 + 6*w - 1]', '[397, 397, -w^5 + 7*w^3 + 3*w^2 - 10*w - 4]', '[401, 401, -2*w^5 + 6*w^4 + 4*w^3 - 18*w^2 + w + 9]', '[401, 401, -3*w^5 + 7*w^4 + 8*w^3 - 18*w^2 - w + 7]', '[403, 403, 2*w^5 - 4*w^4 - 6*w^3 + 10*w^2 + w - 5]', '[409, 409, -2*w^4 + 4*w^3 + 7*w^2 - 8*w - 6]', '[409, 409, 2*w^5 - 4*w^4 - 8*w^3 + 12*w^2 + 5*w - 5]', '[419, 419, -w^5 + 4*w^4 + w^3 - 14*w^2 + 3*w + 7]', '[419, 419, 2*w^5 - 6*w^4 - 4*w^3 + 19*w^2 - 2*w - 9]', '[437, 437, 2*w^5 - 3*w^4 - 8*w^3 + 7*w^2 + 5*w - 1]', '[437, 437, w^5 - 2*w^4 - 5*w^3 + 7*w^2 + 6*w - 3]', '[439, 439, w^5 - 4*w^4 - w^3 + 12*w^2 - w - 4]', '[443, 443, w^5 - 2*w^4 - 4*w^3 + 7*w^2 + 4*w - 7]', '[448, 14, -2*w^2 + 2*w + 4]', '[457, 457, -3*w^5 + 5*w^4 + 12*w^3 - 11*w^2 - 10*w + 2]', '[457, 457, 2*w^5 - 3*w^4 - 9*w^3 + 9*w^2 + 7*w - 5]', '[457, 457, 3*w^5 - 6*w^4 - 10*w^3 + 15*w^2 + 7*w - 4]', '[463, 463, -w^5 + 4*w^4 + w^3 - 14*w^2 + 2*w + 6]', '[463, 463, -w^5 + 2*w^4 + 5*w^3 - 6*w^2 - 8*w + 1]', '[469, 469, -2*w^4 + 4*w^3 + 7*w^2 - 7*w - 7]', '[481, 481, w^5 - 3*w^4 - w^3 + 8*w^2 - 4*w - 5]', '[481, 481, -2*w^4 + 3*w^3 + 8*w^2 - 7*w - 5]', '[487, 487, w^5 - 2*w^4 - 4*w^3 + 4*w^2 + 5*w + 3]', '[499, 499, w^2 - w - 5]', '[499, 499, w^4 - w^3 - 5*w^2 + 4*w + 5]', '[523, 523, 2*w^5 - 2*w^4 - 11*w^3 + 4*w^2 + 12*w + 1]', '[527, 527, 2*w^5 - 5*w^4 - 5*w^3 + 15*w^2 - w - 7]', '[529, 529, -2*w^4 + 3*w^3 + 7*w^2 - 6*w - 5]', '[553, 553, w^5 - 2*w^4 - 4*w^3 + 8*w^2 - 7]', '[553, 553, -w^4 + 2*w^3 + 2*w^2 - w + 1]', '[557, 557, -2*w^5 + 3*w^4 + 9*w^3 - 8*w^2 - 9*w + 5]', '[563, 563, w^5 - 4*w^4 - w^3 + 12*w^2 - w - 3]', '[563, 563, -3*w^5 + 6*w^4 + 9*w^3 - 14*w^2 - 2*w + 3]', '[571, 571, -2*w^4 + 4*w^3 + 5*w^2 - 8*w - 1]', '[577, 577, 3*w^5 - 5*w^4 - 12*w^3 + 12*w^2 + 9*w - 1]', '[587, 587, 3*w^5 - 7*w^4 - 10*w^3 + 20*w^2 + 7*w - 7]', '[587, 587, w^5 - 3*w^4 - 3*w^3 + 9*w^2 + 2*w - 1]', '[587, 587, -3*w^5 + 6*w^4 + 11*w^3 - 16*w^2 - 8*w + 2]', '[589, 589, -w^3 + 3*w^2 + 2*w - 4]', '[589, 589, -3*w^5 + 7*w^4 + 8*w^3 - 17*w^2 - 2*w + 4]', '[593, 593, w^5 - 3*w^4 - 2*w^3 + 7*w^2 + 2*w + 1]', '[611, 611, -2*w^4 + 5*w^3 + 3*w^2 - 10*w + 2]', '[613, 613, -2*w^5 + 5*w^4 + 6*w^3 - 15*w^2 - w + 7]', '[629, 629, w^4 - 6*w^2 - w + 6]', '[629, 629, -3*w^5 + 6*w^4 + 10*w^3 - 15*w^2 - 6*w + 5]', '[631, 631, -w^5 + w^4 + 6*w^3 - 4*w^2 - 6*w + 5]', '[637, 637, -w^5 + 6*w^3 + 4*w^2 - 7*w - 4]', '[641, 641, -w^5 + 8*w^3 - w^2 - 10*w + 1]', '[641, 641, 2*w^5 - 4*w^4 - 8*w^3 + 10*w^2 + 9*w - 2]', '[643, 643, -2*w^4 + 4*w^3 + 7*w^2 - 8*w - 4]', '[643, 643, w^5 - w^4 - 5*w^3 + w^2 + 5*w + 5]', '[653, 653, w^5 - 3*w^4 - w^3 + 9*w^2 - 5*w - 4]', '[653, 653, w^5 - 3*w^4 - w^3 + 7*w^2 - w]', '[659, 659, w^5 - 3*w^4 - 3*w^3 + 10*w^2 + w - 3]', '[659, 659, w^4 - w^3 - 6*w^2 + 3*w + 4]', '[673, 673, -w^5 + 6*w^3 + 3*w^2 - 8*w - 4]', '[679, 679, -w^5 + 3*w^4 + w^3 - 9*w^2 + 3*w + 6]', '[679, 679, 2*w^5 - 3*w^4 - 9*w^3 + 7*w^2 + 7*w]', '[691, 691, 2*w^5 - 6*w^4 - 4*w^3 + 17*w^2 - w - 7]', '[691, 691, 3*w^5 - 6*w^4 - 11*w^3 + 17*w^2 + 8*w - 5]', '[701, 701, 2*w^5 - 3*w^4 - 9*w^3 + 9*w^2 + 6*w - 3]', '[701, 701, w^5 - 3*w^4 - 2*w^3 + 11*w^2 - 3*w - 8]', '[701, 701, -2*w^5 + 2*w^4 + 10*w^3 - 4*w^2 - 10*w + 1]', '[703, 703, 2*w^4 - 4*w^3 - 5*w^2 + 8*w]', '[703, 703, -w^3 + w^2 + 5*w - 2]', '[703, 703, -w^5 + 4*w^4 + w^3 - 12*w^2 + 2*w + 5]', '[703, 703, -w^5 + 2*w^4 + 2*w^3 - 2*w^2 - 3]', '[707, 707, w^5 - 4*w^4 - w^3 + 13*w^2 - 2*w - 8]', '[707, 707, -w^5 + 2*w^4 + 2*w^3 - 4*w^2 + 2*w + 3]', '[709, 709, 2*w^5 - 3*w^4 - 9*w^3 + 9*w^2 + 8*w - 4]', '[709, 709, w^2 - 5]', '[713, 713, w^5 - 4*w^4 - w^3 + 13*w^2 - 3*w - 5]', '[721, 721, w^5 - 7*w^3 - 2*w^2 + 7*w + 4]', '[727, 727, 3*w^5 - 6*w^4 - 10*w^3 + 15*w^2 + 6*w - 4]', '[729, 3, -3]', '[733, 733, -w^5 + 4*w^4 - 11*w^2 + 3*w + 5]', '[733, 733, -2*w^5 + 2*w^4 + 9*w^3 - w^2 - 8*w - 4]', '[739, 739, 3*w^5 - 6*w^4 - 10*w^3 + 15*w^2 + 7*w - 3]', '[743, 743, w^5 - 4*w^4 - w^3 + 12*w^2 - 3]', '[749, 749, w^4 - 3*w^3 - 3*w^2 + 7*w + 6]', '[751, 751, -w^5 + 2*w^4 + 5*w^3 - 8*w^2 - 6*w + 3]', '[757, 757, 3*w^5 - 5*w^4 - 12*w^3 + 12*w^2 + 8*w - 3]', '[761, 761, w^4 - 3*w^3 - 2*w^2 + 9*w - 1]', '[763, 763, -4*w^5 + 6*w^4 + 18*w^3 - 15*w^2 - 17*w + 3]', '[769, 769, 2*w^4 - 3*w^3 - 6*w^2 + 4*w + 4]', '[773, 773, 3*w^5 - 5*w^4 - 11*w^3 + 10*w^2 + 8*w - 2]', '[773, 773, -w^5 + w^4 + 5*w^3 - w^2 - 3*w - 2]', '[773, 773, 3*w^5 - 7*w^4 - 9*w^3 + 18*w^2 + 5*w - 5]', '[791, 791, 2*w^4 - 4*w^3 - 6*w^2 + 6*w + 5]', '[799, 799, -w^5 + 2*w^4 + 4*w^3 - 4*w^2 - 6*w + 1]', '[821, 821, 3*w^5 - 6*w^4 - 10*w^3 + 15*w^2 + 7*w - 5]', '[821, 821, 2*w^4 - 4*w^3 - 6*w^2 + 7*w + 1]', '[823, 823, -3*w^5 + 6*w^4 + 10*w^3 - 16*w^2 - 4*w + 5]', '[823, 823, -2*w^5 + 5*w^4 + 5*w^3 - 13*w^2 + w + 5]', '[827, 827, -3*w^5 + 5*w^4 + 13*w^3 - 13*w^2 - 11*w + 3]', '[827, 827, 2*w^5 - 5*w^4 - 6*w^3 + 16*w^2 + w - 5]', '[829, 829, 2*w^5 - 5*w^4 - 5*w^3 + 14*w^2 - 2*w - 5]', '[832, 26, -2*w^4 + 4*w^3 + 6*w^2 - 10*w]', '[833, 833, -2*w^4 + 4*w^3 + 7*w^2 - 8*w - 5]', '[841, 29, w^5 - w^4 - 4*w^3 - w^2 + 4*w + 6]', '[847, 77, 3*w^5 - 5*w^4 - 13*w^3 + 16*w^2 + 9*w - 8]', '[851, 851, w^5 - 4*w^4 + 13*w^2 - 6*w - 5]', '[851, 851, -w^5 + 4*w^4 + w^3 - 12*w^2 + 4]', '[853, 853, -2*w^5 + 5*w^4 + 5*w^3 - 13*w^2 - 2*w + 3]', '[857, 857, 2*w^5 - 2*w^4 - 10*w^3 + 4*w^2 + 9*w - 1]', '[857, 857, w^5 - 2*w^4 - 3*w^3 + 5*w^2 - 5]', '[857, 857, -3*w^5 + 5*w^4 + 13*w^3 - 14*w^2 - 10*w + 4]', '[863, 863, w^4 - 2*w^3 - 2*w^2 + 2*w - 2]', '[871, 871, 3*w^5 - 6*w^4 - 11*w^3 + 17*w^2 + 7*w - 4]', '[875, 35, -3*w^5 + 5*w^4 + 13*w^3 - 11*w^2 - 15*w]', '[875, 35, -w^5 + 3*w^4 + 3*w^3 - 9*w^2 - 4*w + 4]', '[877, 877, w^5 - 3*w^4 - 2*w^3 + 11*w^2 - 3*w - 7]', '[881, 881, -w^5 + 4*w^4 - 12*w^2 + 3*w + 7]', '[883, 883, -4*w^5 + 8*w^4 + 13*w^3 - 19*w^2 - 6*w + 4]', '[883, 883, -2*w^5 + 6*w^4 + 3*w^3 - 16*w^2 + 4*w + 6]', '[883, 883, -w^5 + 4*w^4 - 13*w^2 + 5*w + 5]', '[889, 889, 2*w^5 - 3*w^4 - 9*w^3 + 8*w^2 + 6*w - 2]', '[893, 893, -w^5 + 4*w^4 + w^3 - 11*w^2 + 2*w + 5]', '[893, 893, w^5 - 2*w^4 - 5*w^3 + 6*w^2 + 7*w - 4]', '[917, 917, w^5 - w^4 - 4*w^3 - w^2 + 4*w + 5]', '[931, 931, w^5 - 7*w^3 - w^2 + 7*w]', '[931, 931, w^3 - w^2 - w - 2]', '[959, 959, -w^5 + w^4 + 6*w^3 - 10*w - 5]', '[961, 31, -2*w^5 + 4*w^4 + 8*w^3 - 11*w^2 - 6*w + 1]', '[961, 961, w^5 - 2*w^4 - 5*w^3 + 8*w^2 + 7*w - 5]', '[967, 967, -w^5 + 7*w^3 - 7*w]', '[967, 967, w^5 - 4*w^4 - w^3 + 14*w^2 - 4*w - 5]', '[971, 971, -w^5 + 2*w^4 + 4*w^3 - 7*w^2 - 3*w + 1]', '[973, 973, -3*w^5 + 6*w^4 + 11*w^3 - 14*w^2 - 10*w + 2]', '[997, 997, 3*w^5 - 5*w^4 - 11*w^3 + 11*w^2 + 7*w - 1]', '[997, 997, 2*w^4 - 3*w^3 - 8*w^2 + 4*w + 5]', '[1009, 1009, -w^5 + 2*w^4 + 2*w^3 - 2*w^2 + 2*w - 3]', '[1013, 1013, -w^5 + 2*w^4 + 4*w^3 - 6*w^2 - 4*w + 6]', '[1019, 1019, -w^5 + w^4 + 5*w^3 - 2*w^2 - 7*w + 2]', '[1021, 1021, 3*w^5 - 5*w^4 - 13*w^3 + 13*w^2 + 11*w - 2]', '[1021, 1021, -2*w^5 + 5*w^4 + 5*w^3 - 14*w^2 - 2*w + 5]', '[1021, 1021, -3*w^5 + 8*w^4 + 7*w^3 - 22*w^2 - w + 7]', '[1021, 1021, 3*w^5 - 7*w^4 - 9*w^3 + 18*w^2 + 4*w - 5]', '[1027, 1027, 2*w^5 - 3*w^4 - 9*w^3 + 7*w^2 + 10*w - 4]', '[1027, 1027, 2*w^5 - 7*w^4 - w^3 + 20*w^2 - 10*w - 3]', '[1033, 1033, 2*w^4 - 3*w^3 - 7*w^2 + 7*w + 1]', '[1033, 1033, -w^4 + 7*w^2 + w - 6]', '[1051, 1051, w^5 - 7*w^3 - 2*w^2 + 11*w + 1]', '[1061, 1061, 2*w^5 - 6*w^4 - 4*w^3 + 17*w^2 - 8]', '[1061, 1061, -2*w^3 + 2*w^2 + 5*w]', '[1081, 1081, w^3 - 5*w^2 + 2*w + 4]', '[1088, 34, 2*w^3 - 2*w^2 - 6*w]', '[1091, 1091, -2*w^4 + 2*w^3 + 9*w^2 - 4*w - 4]', '[1091, 1091, -2*w^5 + 3*w^4 + 8*w^3 - 5*w^2 - 5*w - 3]', '[1099, 1099, 3*w^5 - 5*w^4 - 14*w^3 + 14*w^2 + 14*w - 2]', '[1099, 1099, -3*w^5 + 6*w^4 + 13*w^3 - 20*w^2 - 10*w + 10]', '[1109, 1109, 2*w^5 - 5*w^4 - 5*w^3 + 15*w^2 - 2*w - 6]', '[1123, 1123, -3*w^5 + 7*w^4 + 8*w^3 - 17*w^2 - 2*w + 5]', '[1123, 1123, -3*w^5 + 6*w^4 + 11*w^3 - 18*w^2 - 6*w + 7]', '[1127, 1127, -3*w^5 + 7*w^4 + 9*w^3 - 19*w^2 - 5*w + 5]', '[1129, 1129, -2*w^3 + 3*w^2 + 4*w - 2]', '[1139, 1139, 3*w^5 - 5*w^4 - 12*w^3 + 10*w^2 + 11*w]', '[1147, 1147, 2*w^4 - 2*w^3 - 9*w^2 + w + 7]', '[1147, 1147, w^5 - 3*w^4 - 2*w^3 + 7*w^2 + w + 1]', '[1151, 1151, -w^5 + 2*w^4 + 3*w^3 - 4*w^2 + w - 2]', '[1151, 1151, 2*w^4 - 4*w^3 - 6*w^2 + 6*w + 3]', '[1163, 1163, 2*w^5 - 6*w^4 - 5*w^3 + 19*w^2 + w - 7]', '[1183, 1183, -2*w^5 + 6*w^4 + 4*w^3 - 19*w^2 + 2*w + 8]', '[1187, 1187, -w^4 + 6*w^2 + 2*w - 7]', '[1187, 1187, -2*w^5 + 2*w^4 + 10*w^3 - 2*w^2 - 11*w - 1]', '[1193, 1193, 4*w^5 - 10*w^4 - 11*w^3 + 28*w^2 + 5*w - 11]', '[1193, 1193, 2*w^5 - 6*w^4 - 3*w^3 + 17*w^2 - 5*w - 8]', '[1211, 1211, 3*w^5 - 6*w^4 - 10*w^3 + 15*w^2 + 9*w - 5]', '[1213, 1213, 3*w^5 - 6*w^4 - 11*w^3 + 16*w^2 + 10*w - 4]', '[1216, 38, -2*w^3 + 2*w^2 + 6*w - 2]', '[1216, 38, 2*w^4 - 2*w^3 - 8*w^2 + 4*w + 4]', '[1223, 1223, -3*w^5 + 7*w^4 + 9*w^3 - 18*w^2 - 5*w + 3]', '[1231, 1231, w^5 - w^4 - 6*w^3 + 4*w^2 + 8*w - 2]', '[1231, 1231, -w^5 + w^4 + 4*w^3 - w^2 - 2*w - 3]', '[1231, 1231, -3*w^5 + 5*w^4 + 12*w^3 - 13*w^2 - 8*w + 4]', '[1249, 1249, -w^4 + 6*w^2 + 4*w - 3]', '[1249, 1249, w^4 - 7*w^2 + 2*w + 4]', '[1253, 1253, w^5 - w^4 - 5*w^3 + 3*w^2 + 5*w + 2]', '[1261, 1261, -5*w^5 + 12*w^4 + 13*w^3 - 32*w^2 + 7]', '[1261, 1261, 4*w^5 - 12*w^4 - 5*w^3 + 31*w^2 - 12*w - 7]', '[1267, 1267, w^5 - 3*w^4 - w^3 + 8*w^2 - 5*w - 5]', '[1267, 1267, -w^5 + 2*w^4 + 2*w^3 - 3*w^2 - w - 2]', '[1267, 1267, w^4 - 5*w^2 - w + 6]', '[1273, 1273, -3*w^5 + 6*w^4 + 11*w^3 - 15*w^2 - 8*w + 4]', '[1273, 1273, -w^4 + w^3 + 3*w^2 - 2*w - 4]', '[1277, 1277, -2*w^3 + 3*w^2 + 6*w - 2]', '[1279, 1279, 4*w^5 - 9*w^4 - 13*w^3 + 24*w^2 + 10*w - 9]', '[1283, 1283, w^5 - w^4 - 6*w^3 + 2*w^2 + 9*w - 2]', '[1283, 1283, -w^5 + 3*w^4 + 2*w^3 - 9*w^2 + 3*w + 4]', '[1289, 1289, -2*w^4 + 4*w^3 + 4*w^2 - 8*w - 1]', '[1289, 1289, w^5 - 3*w^4 - 3*w^3 + 9*w^2 + 4*w - 5]', '[1297, 1297, w^4 - 2*w^3 - w^2 + 3*w - 7]', '[1301, 1301, -2*w^5 + 5*w^4 + 6*w^3 - 14*w^2 - 2*w + 2]', '[1313, 1313, -4*w^5 + 9*w^4 + 11*w^3 - 23*w^2 + 4]', '[1313, 1313, 4*w^5 - 10*w^4 - 11*w^3 + 28*w^2 + 2*w - 8]', '[1321, 1321, 2*w^5 - 5*w^4 - 6*w^3 + 13*w^2 + 5*w - 1]', '[1321, 1321, w^5 - 4*w^4 + 12*w^2 - 3*w - 5]', '[1327, 1327, 3*w^4 - 6*w^3 - 9*w^2 + 11*w + 6]', '[1337, 1337, -w^4 + w^3 + 7*w^2 - 3*w - 7]', '[1337, 1337, -3*w^5 + 7*w^4 + 8*w^3 - 16*w^2 - 7*w + 5]', '[1339, 1339, -w^4 + 3*w^3 + w^2 - 7*w]', '[1343, 1343, -w^4 - w^3 + 7*w^2 + 5*w - 2]', '[1343, 1343, 2*w^5 - 3*w^4 - 6*w^3 + 3*w^2 - w]', '[1351, 1351, 2*w^5 - 3*w^4 - 10*w^3 + 8*w^2 + 10*w - 2]', '[1367, 1367, -w^5 + 3*w^4 + 2*w^3 - 10*w^2 + 3*w + 7]', '[1367, 1367, -w^2 + w - 2]', '[1369, 37, -3*w^5 + 7*w^4 + 9*w^3 - 19*w^2 - 5*w + 4]', '[1369, 1369, 2*w^5 - 3*w^4 - 9*w^3 + 6*w^2 + 10*w - 1]', '[1369, 1369, w^5 - 2*w^4 - 3*w^3 + 3*w^2 + 3*w + 4]', '[1373, 1373, w^3 - 2*w - 3]', '[1381, 1381, -2*w^5 + 6*w^4 + 4*w^3 - 17*w^2 - w + 5]', '[1381, 1381, -w^5 + w^4 + 7*w^3 - 4*w^2 - 10*w]', '[1391, 1391, -2*w^5 + 2*w^4 + 11*w^3 - 5*w^2 - 12*w + 1]', '[1399, 1399, 3*w^5 - 5*w^4 - 11*w^3 + 10*w^2 + 8*w]', '[1409, 1409, w^5 - 8*w^3 + 11*w]', '[1417, 1417, w^5 - 2*w^4 - 3*w^3 + 3*w^2 + w + 6]', '[1423, 1423, w^5 - w^4 - 7*w^3 + 5*w^2 + 10*w - 3]', '[1429, 1429, w^5 - w^4 - 7*w^3 + 6*w^2 + 8*w - 3]', '[1439, 1439, w^4 - 2*w^3 - w^2 + 3*w - 3]', '[1439, 1439, -2*w^4 + 5*w^3 + 4*w^2 - 12*w + 1]', '[1447, 1447, -4*w^5 + 9*w^4 + 10*w^3 - 21*w^2 + 6]', '[1451, 1451, -w^3 + 5*w - 1]', '[1451, 1451, -3*w^5 + 6*w^4 + 9*w^3 - 15*w^2 - 3*w + 5]', '[1453, 1453, 3*w^5 - 6*w^4 - 9*w^3 + 13*w^2 + 4*w - 1]', '[1453, 1453, w^5 - 2*w^4 - 3*w^3 + 5*w^2 + 2*w - 5]', '[1457, 1457, -2*w^5 + 3*w^4 + 11*w^3 - 11*w^2 - 11*w + 4]', '[1459, 1459, w - 4]', '[1469, 1469, -3*w^5 + 7*w^4 + 9*w^3 - 20*w^2 - 2*w + 4]', '[1472, 46, 2*w^4 - 4*w^3 - 6*w^2 + 6*w + 4]', '[1477, 1477, 5*w^5 - 9*w^4 - 21*w^3 + 27*w^2 + 17*w - 11]', '[1481, 1481, -2*w^5 + 5*w^4 + 5*w^3 - 14*w^2 + 2*w + 7]', '[1483, 1483, 3*w^5 - 5*w^4 - 11*w^3 + 11*w^2 + 7*w - 3]', '[1483, 1483, 2*w^5 - 7*w^4 - 2*w^3 + 21*w^2 - 6*w - 9]', '[1487, 1487, -2*w^5 + 2*w^4 + 11*w^3 - 5*w^2 - 13*w + 2]', '[1487, 1487, 3*w^5 - 7*w^4 - 9*w^3 + 18*w^2 + 5*w - 4]', '[1493, 1493, w^5 - 4*w^4 + 12*w^2 - 3*w - 6]', '[1499, 1499, -2*w^5 + 3*w^4 + 10*w^3 - 9*w^2 - 10*w + 4]', '[1501, 1501, -w^5 + 3*w^4 + 4*w^3 - 12*w^2 - 6*w + 6]', '[1501, 1501, 2*w^4 - 3*w^3 - 9*w^2 + 5*w + 3]', '[1501, 1501, -2*w^4 + 2*w^3 + 10*w^2 - 3*w - 6]', '[1501, 1501, -2*w^5 + 4*w^4 + 5*w^3 - 7*w^2 + 3*w]', '[1511, 1511, -2*w^5 + 4*w^4 + 5*w^3 - 8*w^2 - w - 1]', '[1511, 1511, 3*w^5 - 6*w^4 - 10*w^3 + 14*w^2 + 7*w - 7]', '[1519, 1519, 2*w^5 - 2*w^4 - 10*w^3 + 3*w^2 + 11*w]', '[1531, 1531, -2*w^5 + 2*w^4 + 11*w^3 - 4*w^2 - 12*w]', '[1531, 1531, 4*w^5 - 9*w^4 - 12*w^3 + 22*w^2 + 7*w - 3]', '[1541, 1541, -w^5 + 2*w^4 + 3*w^3 - w^2 - 5*w - 4]', '[1543, 1543, 2*w^5 - 6*w^4 - 3*w^3 + 17*w^2 - 3*w - 7]', '[1543, 1543, 4*w^5 - 10*w^4 - 9*w^3 + 26*w^2 - 5*w - 7]', '[1543, 1543, 3*w^5 - 5*w^4 - 11*w^3 + 10*w^2 + 8*w - 1]', '[1547, 1547, -2*w^5 + 2*w^4 + 10*w^3 - 3*w^2 - 9*w - 4]', '[1553, 1553, -w^5 + w^4 + 5*w^3 - 4*w - 4]', '[1559, 1559, 2*w^5 - 6*w^4 - 3*w^3 + 16*w^2 - 2*w - 3]', '[1559, 1559, 2*w^5 - 5*w^4 - 5*w^3 + 13*w^2 - 6]', '[1561, 1561, -w^5 + 4*w^4 + w^3 - 14*w^2 + 4*w + 8]', '[1567, 1567, 2*w^5 - 2*w^4 - 11*w^3 + 5*w^2 + 13*w - 1]', '[1573, 143, 2*w^5 - 4*w^4 - 7*w^3 + 11*w^2 + 6*w - 8]', '[1579, 1579, w^5 - w^4 - 6*w^3 + 2*w^2 + 8*w - 2]', '[1583, 1583, w^5 - 7*w^3 - w^2 + 10*w - 1]', '[1583, 1583, w^5 - 4*w^4 + 13*w^2 - 4*w - 6]', '[1589, 1589, w^4 - w^3 - 6*w^2 + 5*w + 6]', '[1603, 1603, -2*w^3 + 2*w^2 + 5*w - 2]', '[1607, 1607, 2*w^3 - 2*w^2 - 6*w + 1]', '[1607, 1607, -w^5 + 4*w^4 - 12*w^2 + 6*w + 7]', '[1607, 1607, 4*w^5 - 8*w^4 - 13*w^3 + 20*w^2 + 3*w - 6]', '[1607, 1607, 2*w^5 - 4*w^4 - 9*w^3 + 13*w^2 + 10*w - 5]', '[1619, 1619, w^4 - 2*w^3 - 4*w^2 + 7*w + 4]', '[1625, 65, 3*w^5 - 6*w^4 - 9*w^3 + 12*w^2 + 4*w + 3]', '[1625, 65, 2*w^5 - 5*w^4 - 3*w^3 + 10*w^2 - 5*w + 2]', '[1627, 1627, w^5 - 7*w^3 - 2*w^2 + 10*w]', '[1627, 1627, -3*w^5 + 8*w^4 + 6*w^3 - 21*w^2 + 2*w + 4]', '[1627, 1627, 2*w^5 - 4*w^4 - 8*w^3 + 12*w^2 + 7*w - 2]', '[1631, 1631, 5*w^5 - 8*w^4 - 22*w^3 + 19*w^2 + 24*w - 1]', '[1637, 1637, 3*w^5 - 5*w^4 - 12*w^3 + 13*w^2 + 9*w - 3]', '[1649, 1649, -w^5 - w^4 + 8*w^3 + 7*w^2 - 11*w - 4]', '[1649, 1649, -2*w^5 + 5*w^4 + 6*w^3 - 13*w^2 - 4*w + 2]', '[1651, 1651, 4*w^5 - 11*w^4 - 7*w^3 + 28*w^2 - 7*w - 7]', '[1667, 1667, -2*w^5 + 3*w^4 + 8*w^3 - 4*w^2 - 7*w - 3]', '[1669, 1669, -w^5 + 2*w^4 + 4*w^3 - 7*w^2 + 4]', '[1681, 41, 3*w^5 - 7*w^4 - 9*w^3 + 18*w^2 + 8*w - 6]', '[1693, 1693, -w^5 + 2*w^4 + w^3 + 2*w - 4]', '[1697, 1697, -2*w^5 + 5*w^4 + 4*w^3 - 13*w^2 + 3*w]', '[1699, 1699, -3*w^5 + 8*w^4 + 8*w^3 - 22*w^2 - 2*w + 7]', '[1703, 1703, 3*w^5 - 10*w^4 - w^3 + 26*w^2 - 17*w - 3]', '[1717, 1717, 3*w^4 - 3*w^3 - 11*w^2 + w + 2]', '[1717, 1717, 3*w^5 - 5*w^4 - 11*w^3 + 11*w^2 + 7*w - 2]', '[1723, 1723, w^4 - 7*w^2 + 2]', '[1723, 1723, w^5 - w^4 - 7*w^3 + 4*w^2 + 10*w - 2]', '[1723, 1723, -2*w^5 + 5*w^4 + 7*w^3 - 16*w^2 - 5*w + 6]', '[1729, 1729, w^5 - w^4 - 4*w^3 + 2*w + 5]', '[1729, 1729, 2*w^5 - 5*w^4 - 6*w^3 + 13*w^2 + 4*w - 3]', '[1739, 1739, 3*w^5 - 6*w^4 - 10*w^3 + 15*w^2 + 8*w - 4]', '[1739, 1739, 2*w^5 - 4*w^4 - 10*w^3 + 17*w^2 + 6*w - 8]', '[1741, 1741, w^5 - 8*w^3 + 10*w + 1]', '[1747, 1747, -w^5 + 2*w^4 + 5*w^3 - 6*w^2 - 8*w + 2]', '[1747, 1747, -3*w^5 + 4*w^4 + 15*w^3 - 9*w^2 - 16*w + 2]', '[1751, 1751, -3*w^5 + 3*w^4 + 14*w^3 - 2*w^2 - 12*w - 2]', '[1757, 1757, -3*w^5 + 3*w^4 + 16*w^3 - 6*w^2 - 17*w - 1]', '[1759, 1759, 2*w^5 - 3*w^4 - 8*w^3 + 6*w^2 + 5*w + 3]', '[1781, 1781, 4*w^5 - 8*w^4 - 13*w^3 + 19*w^2 + 7*w - 2]', '[1783, 1783, 3*w^5 - 8*w^4 - 8*w^3 + 22*w^2 + 3*w - 4]', '[1787, 1787, -5*w^5 + 8*w^4 + 21*w^3 - 20*w^2 - 16*w + 6]', '[1787, 1787, 3*w^2 - 4*w - 6]', '[1789, 1789, -w^5 + 4*w^4 + w^3 - 11*w^2 + w]', '[1789, 1789, w^5 - w^4 - 6*w^3 + 6*w^2 + 4*w - 5]', '[1799, 1799, -5*w^5 + 7*w^4 + 22*w^3 - 15*w^2 - 20*w]', '[1799, 1799, -4*w^5 + 7*w^4 + 15*w^3 - 16*w^2 - 11*w + 3]', '[1799, 1799, 2*w^5 - 7*w^4 - 3*w^3 + 21*w^2 - 12]', '[1801, 1801, w^4 - 3*w^3 - 2*w^2 + 10*w + 2]', '[1807, 1807, -3*w^5 + 10*w^4 + 3*w^3 - 29*w^2 + 12*w + 9]', '[1811, 1811, 2*w^3 - 2*w^2 - 5*w + 1]', '[1813, 1813, -3*w^5 + 5*w^4 + 12*w^3 - 11*w^2 - 8*w + 1]', '[1813, 1813, -3*w^5 + 6*w^4 + 9*w^3 - 14*w^2 - 3*w + 4]', '[1817, 1817, -3*w^4 + 5*w^3 + 9*w^2 - 6*w - 6]', '[1817, 1817, 3*w^4 - 5*w^3 - 8*w^2 + 6*w + 3]', '[1819, 1819, -w^5 + 3*w^4 + 4*w^3 - 9*w^2 - 9*w]', '[1823, 1823, -3*w^5 + 6*w^4 + 10*w^3 - 16*w^2 - 4*w + 4]', '[1831, 1831, w^4 - 7*w^2 + w + 7]', '[1841, 1841, 2*w^5 - 5*w^4 - 6*w^3 + 16*w^2 + 3*w - 6]', '[1841, 1841, 3*w^5 - 6*w^4 - 12*w^3 + 17*w^2 + 9*w - 4]', '[1843, 1843, -w^5 + 5*w^4 - 2*w^3 - 16*w^2 + 9*w + 5]', '[1843, 1843, w^5 - w^4 - 3*w^3 + w^2 + 3]', '[1843, 1843, -w^5 + 3*w^4 + w^3 - 6*w^2 + 5*w + 1]', '[1843, 1843, 3*w^5 - 8*w^4 - 8*w^3 + 22*w^2 + 2*w - 6]', '[1847, 1847, -w^5 + 6*w^3 + 3*w^2 - 8*w - 1]', '[1849, 43, 2*w^5 - 4*w^4 - 5*w^3 + 7*w^2 + 2*w + 3]', '[1853, 1853, 3*w^5 - 3*w^4 - 14*w^3 + 2*w^2 + 13*w + 6]', '[1871, 1871, w^4 - 3*w^3 - w^2 + 8*w - 1]', '[1873, 1873, 2*w^5 - 2*w^4 - 11*w^3 + 6*w^2 + 13*w - 2]', '[1879, 1879, -2*w^5 + 4*w^4 + 6*w^3 - 11*w^2 + 5]', '[1889, 1889, -2*w^5 + 6*w^4 + 3*w^3 - 18*w^2 + 5*w + 5]', '[1889, 1889, -4*w^5 + 7*w^4 + 17*w^3 - 18*w^2 - 15*w + 4]', '[1901, 1901, 3*w^5 - 8*w^4 - 8*w^3 + 25*w^2 - 13]', '[1901, 1901, 2*w^5 - 4*w^4 - 8*w^3 + 12*w^2 + 9*w - 5]', '[1907, 1907, -w^5 + 3*w^4 - w^3 - 4*w^2 + 8*w]', '[1907, 1907, -w^5 + 2*w^4 + 3*w^3 - 4*w^2 - w - 4]', '[1919, 1919, 2*w^5 - 2*w^4 - 8*w^3 + 2*w^2 + 3*w + 2]', '[1919, 1919, -4*w^5 + 8*w^4 + 13*w^3 - 21*w^2 - 6*w + 7]', '[1919, 1919, w^5 - w^4 - 4*w^3 + 3*w^2 + 3*w - 4]', '[1919, 1919, w^5 - 5*w^4 + 16*w^2 - 2*w - 4]', '[1921, 1921, -3*w^5 + 5*w^4 + 11*w^3 - 9*w^2 - 8*w]', '[1931, 1931, 2*w^5 - 2*w^4 - 10*w^3 + 3*w^2 + 13*w + 1]', '[1933, 1933, -w^5 + 6*w^3 + 3*w^2 - 6*w - 6]', '[1939, 1939, 3*w^5 - 3*w^4 - 14*w^3 + 17*w + 9]', '[1939, 1939, -3*w^5 + 5*w^4 + 12*w^3 - 12*w^2 - 11*w + 4]', '[1939, 1939, -5*w^5 + 8*w^4 + 21*w^3 - 19*w^2 - 21*w + 3]', '[1949, 1949, w^2 + w - 5]', '[1951, 1951, -w^5 + 3*w^4 + 2*w^3 - 6*w^2 - 4*w - 2]', '[1951, 1951, -2*w^5 + 4*w^4 + 5*w^3 - 7*w^2 + 3*w - 3]', '[1957, 1957, -w^5 + 2*w^4 + 3*w^3 - 3*w^2 + w + 2]', '[1957, 1957, 2*w^5 - 2*w^4 - 10*w^3 + 2*w^2 + 9*w]', '[1967, 1967, 3*w^5 - 4*w^4 - 14*w^3 + 10*w^2 + 13*w]', '[1973, 1973, 3*w^4 - 5*w^3 - 9*w^2 + 7*w + 4]', '[1973, 1973, w^5 - 7*w^3 - w^2 + 7*w - 3]', '[1973, 1973, w^5 - 7*w^3 + 8*w]', '[1973, 1973, -3*w^5 + 9*w^4 + 6*w^3 - 26*w^2 + 3*w + 7]', '[1979, 1979, 3*w^5 - 6*w^4 - 10*w^3 + 14*w^2 + 6*w - 4]', '[1981, 1981, -2*w^5 + 3*w^4 + 11*w^3 - 11*w^2 - 11*w + 1]', '[1981, 1981, 4*w^5 - 5*w^4 - 19*w^3 + 10*w^2 + 17*w + 2]', '[1984, 62, -2*w^5 + 4*w^4 + 8*w^3 - 10*w^2 - 10*w + 2]', '[1993, 1993, -w^5 + 5*w^4 - w^3 - 17*w^2 + 5*w + 7]', '[1997, 1997, -w^5 + w^4 + 5*w^3 - 7*w]', '[1997, 1997, w^5 - 4*w^4 + 13*w^2 - 4*w - 8]', '[1999, 1999, -2*w^5 + 6*w^4 + 4*w^3 - 20*w^2 + 5*w + 8]', '[2003, 2003, -2*w^4 + 3*w^3 + 9*w^2 - 7*w - 6]', '[2011, 2011, -3*w^5 + 7*w^4 + 10*w^3 - 19*w^2 - 10*w + 4]', '[2011, 2011, -3*w^5 + 7*w^4 + 10*w^3 - 20*w^2 - 6*w + 6]', '[2023, 2023, -w^5 + 3*w^4 + 2*w^3 - 9*w^2 + 3*w + 5]', '[2033, 2033, w^5 - 3*w^4 - 4*w^3 + 10*w^2 + 7*w - 3]', '[2033, 2033, w^5 + w^4 - 7*w^3 - 6*w^2 + 7*w + 5]', '[2039, 2039, -w^5 + 6*w^3 + 2*w^2 - 5*w - 4]', '[2041, 2041, w^5 - 5*w^4 + 2*w^3 + 15*w^2 - 9*w - 8]', '[2041, 2041, -w^5 + 2*w^4 + 5*w^3 - 7*w^2 - 8*w + 9]', '[2051, 2051, 2*w^5 - 5*w^4 - 7*w^3 + 13*w^2 + 8*w - 3]', '[2053, 2053, 5*w^5 - 10*w^4 - 18*w^3 + 27*w^2 + 11*w - 10]', '[2057, 187, -w^5 + 4*w^3 + 6*w^2 - 2*w - 5]', '[2063, 2063, w^4 - w^3 - 3*w^2 + 2*w - 2]', '[2069, 2069, 3*w^5 - 4*w^4 - 13*w^3 + 10*w^2 + 8*w - 4]', '[2069, 2069, w^5 + w^4 - 7*w^3 - 6*w^2 + 8*w + 1]', '[2069, 2069, w^5 - w^4 - 7*w^3 + 4*w^2 + 10*w - 1]', '[2069, 2069, 2*w^5 - 3*w^4 - 10*w^3 + 9*w^2 + 12*w - 2]', '[2069, 2069, -w^5 + w^4 + 6*w^3 - 4*w^2 - 8*w + 1]', '[2069, 2069, -2*w^5 + 7*w^4 + 2*w^3 - 19*w^2 + 2*w + 5]', '[2071, 2071, -2*w^5 + 5*w^4 + 7*w^3 - 15*w^2 - 6*w + 4]', '[2071, 2071, -w^5 + 5*w^3 + 5*w^2 - 4*w - 8]', '[2077, 2077, 4*w^5 - 6*w^4 - 19*w^3 + 16*w^2 + 18*w - 2]', '[2087, 2087, 3*w^5 - 5*w^4 - 12*w^3 + 15*w^2 + 6*w - 8]', '[2093, 2093, -w^5 + 2*w^4 + 5*w^3 - 6*w^2 - 9*w + 2]', '[2099, 2099, 3*w^5 - 7*w^4 - 9*w^3 + 22*w^2 + 2*w - 13]', '[2099, 2099, 5*w^5 - 9*w^4 - 19*w^3 + 23*w^2 + 12*w - 6]', '[2111, 2111, -4*w^5 + 13*w^4 + 4*w^3 - 35*w^2 + 13*w + 8]', '[2111, 2111, -w^5 + w^4 + 4*w^3 - w^2 - 2*w - 5]', '[2113, 2113, 3*w^5 - 6*w^4 - 10*w^3 + 15*w^2 + 3*w - 3]', '[2125, 85, -w^5 + 5*w^3 + 3*w^2 - 3*w + 1]', '[2125, 85, 2*w^5 - 3*w^4 - 10*w^3 + 7*w^2 + 12*w + 4]', '[2137, 2137, -2*w^4 + 3*w^3 + 9*w^2 - 6*w - 6]', '[2137, 2137, 2*w^4 - 5*w^3 - 5*w^2 + 12*w - 2]', '[2143, 2143, -w^5 - w^4 + 7*w^3 + 9*w^2 - 10*w - 8]', '[2143, 2143, 3*w^5 - 6*w^4 - 11*w^3 + 16*w^2 + 9*w - 9]', '[2147, 2147, w^2 + 2]', '[2147, 2147, 3*w^5 - 6*w^4 - 10*w^3 + 14*w^2 + 5*w - 3]', '[2153, 2153, -w^5 + 2*w^4 + 5*w^3 - 8*w^2 - 5*w]', '[2159, 2159, -w^5 - w^4 + 7*w^3 + 8*w^2 - 8*w - 4]', '[2161, 2161, -3*w^5 + 7*w^4 + 9*w^3 - 18*w^2 - 3*w + 6]', '[2177, 2177, 5*w^5 - 8*w^4 - 23*w^3 + 22*w^2 + 23*w - 3]', '[2177, 2177, 3*w^5 - 6*w^4 - 11*w^3 + 16*w^2 + 10*w - 3]', '[2177, 2177, 3*w^4 - 5*w^3 - 11*w^2 + 10*w + 9]', '[2177, 2177, 2*w^5 - 6*w^4 - 4*w^3 + 19*w^2 - 3*w - 13]', '[2179, 2179, -3*w^5 + 7*w^4 + 10*w^3 - 21*w^2 - 5*w + 7]', '[2179, 2179, -3*w^5 + 7*w^4 + 9*w^3 - 17*w^2 - 8*w + 5]', '[2197, 2197, w^5 - w^4 - 3*w^3 - 2*w^2 + 5]', '[2203, 2203, w^5 - 8*w^3 + w^2 + 11*w - 2]', '[2209, 47, w^5 - w^4 - 6*w^3 + 5*w^2 + 7*w - 1]', '[2209, 2209, w^5 - 4*w^4 - w^3 + 11*w^2 + 2*w - 2]', '[2213, 2213, w^3 - 3*w - 4]', '[2219, 2219, -3*w^5 + 7*w^4 + 9*w^3 - 17*w^2 - 8*w + 3]', '[2219, 2219, 4*w^5 - 6*w^4 - 17*w^3 + 11*w^2 + 19*w + 1]', '[2227, 2227, -w^5 - w^4 + 9*w^3 + 4*w^2 - 13*w - 2]', '[2231, 2231, w^5 - 2*w^4 - 3*w^3 + 2*w^2 + 2*w + 3]', '[2231, 2231, -w^3 - w^2 + 6*w + 1]', '[2237, 2237, -3*w^5 + 6*w^4 + 10*w^3 - 14*w^2 - 9*w + 6]', '[2237, 2237, 5*w^5 - 11*w^4 - 15*w^3 + 29*w^2 + 3*w - 8]', '[2237, 2237, 3*w^5 - 4*w^4 - 13*w^3 + 8*w^2 + 8*w - 1]', '[2239, 2239, 4*w^5 - 8*w^4 - 15*w^3 + 21*w^2 + 15*w - 6]', '[2249, 2249, -w^3 + 4*w^2 + w - 6]', '[2251, 2251, -3*w^5 + 3*w^4 + 15*w^3 - 5*w^2 - 13*w + 1]', '[2251, 2251, w^5 - 7*w^3 + 8*w - 1]', '[2261, 2261, 3*w^5 - 6*w^4 - 9*w^3 + 13*w^2 + 4*w - 2]', '[2261, 2261, 3*w^5 - 5*w^4 - 13*w^3 + 15*w^2 + 11*w - 8]', '[2269, 2269, -w^5 + 4*w^4 - 12*w^2 + 2*w + 9]', '[2269, 2269, -4*w^5 + 9*w^4 + 13*w^3 - 23*w^2 - 8*w + 6]', '[2273, 2273, 4*w^5 - 8*w^4 - 12*w^3 + 19*w^2 + 2*w - 2]', '[2273, 2273, -3*w^5 + 5*w^4 + 13*w^3 - 13*w^2 - 13*w]', '[2273, 2273, -w^5 + 2*w^4 + 5*w^3 - 7*w^2 - 6*w - 2]', '[2287, 2287, -2*w^5 + 6*w^4 + 2*w^3 - 15*w^2 + 7*w - 1]', '[2293, 2293, -2*w^5 + 2*w^4 + 11*w^3 - 4*w^2 - 12*w + 1]', '[2293, 2293, w^5 - 4*w^4 - w^3 + 15*w^2 - 3*w - 9]', '[2297, 2297, -w^5 + w^4 + 5*w^3 - w^2 - 3*w - 3]', '[2299, 209, -w^5 + 4*w^4 + 3*w^3 - 16*w^2 - 3*w + 10]', '[2299, 209, w^5 - 4*w^4 - 3*w^3 + 15*w^2 + 2*w - 7]', '[2303, 2303, -w^5 + 3*w^4 + w^3 - 5*w^2 + 3*w - 3]', '[2317, 2317, -w^5 + w^4 + 6*w^3 + w^2 - 11*w - 7]', '[2323, 2323, -w^3 + 2*w^2 - 4]', '[2323, 2323, 2*w^5 - 3*w^4 - 7*w^3 + 3*w^2 + 4*w + 2]', '[2327, 2327, 3*w^5 - 10*w^4 - w^3 + 26*w^2 - 14*w - 5]', '[2329, 2329, 2*w^5 - 4*w^4 - 9*w^3 + 11*w^2 + 11*w + 1]', '[2333, 2333, w^5 - 8*w^3 + 13*w + 4]', '[2347, 2347, 2*w^5 - 4*w^4 - 6*w^3 + 7*w^2 + 3*w + 2]', '[2347, 2347, 4*w^5 - 8*w^4 - 14*w^3 + 20*w^2 + 9*w - 5]', '[2351, 2351, 2*w^5 - 6*w^4 - 3*w^3 + 18*w^2 - 8*w - 6]', '[2353, 2353, w^4 - 4*w^2 - 3*w - 3]', '[2353, 2353, -w^5 + 4*w^4 - 13*w^2 + 4*w + 7]', '[2353, 2353, -5*w^5 + 15*w^4 + 6*w^3 - 40*w^2 + 17*w + 6]', '[2363, 2363, 2*w^4 - 5*w^3 - 6*w^2 + 11*w + 5]', '[2368, 74, 2*w^5 - 6*w^4 - 4*w^3 + 16*w^2 + 2*w - 6]', '[2368, 74, 2*w^5 - 4*w^4 - 8*w^3 + 12*w^2 + 8*w - 2]', '[2369, 2369, -w^4 + w^3 + w^2 + 3*w + 2]', '[2371, 2371, 2*w^5 - 7*w^4 - 2*w^3 + 20*w^2 - 6*w - 7]', '[2375, 95, -w^5 + 2*w^4 + 4*w^3 - 4*w^2 - 4*w - 4]', '[2375, 95, w^5 - 6*w^3 - w^2 + 6*w - 3]', '[2375, 95, -3*w^5 + 5*w^4 + 11*w^3 - 11*w^2 - 8*w + 1]', '[2375, 95, -3*w^5 + 5*w^4 + 10*w^3 - 11*w^2 - 4*w + 3]', '[2377, 2377, 2*w^5 - 3*w^4 - 8*w^3 + 6*w^2 + 8*w - 2]', '[2381, 2381, -w^5 + 2*w^4 + 5*w^3 - 8*w^2 - 7*w + 4]', '[2381, 2381, 3*w^5 - 5*w^4 - 11*w^3 + 11*w^2 + 9*w - 2]', '[2399, 2399, w^5 - 3*w^4 - 4*w^3 + 14*w^2 + 3*w - 9]', '[2399, 2399, 4*w^5 - 9*w^4 - 11*w^3 + 24*w^2 + w - 6]', '[2401, 2401, 3*w^5 - 6*w^4 - 10*w^3 + 17*w^2 + 3*w - 8]', '[2413, 2413, -w^5 + 2*w^4 + 2*w^3 - 2*w^2 + 3*w - 1]', '[2413, 2413, -w^5 + 5*w^4 - w^3 - 17*w^2 + 6*w + 6]', '[2417, 2417, 2*w^5 - 5*w^4 - 5*w^3 + 14*w^2 + 2*w - 3]', '[2417, 2417, 2*w^5 - 5*w^4 - 6*w^3 + 13*w^2 + 5*w - 2]', '[2423, 2423, w^5 - 3*w^4 + 5*w^2 - 5*w + 5]', '[2429, 2429, 2*w^5 - 3*w^4 - 7*w^3 + 4*w^2 + 6*w - 2]', '[2437, 2437, 5*w^5 - 11*w^4 - 14*w^3 + 27*w^2 + 2*w - 6]', '[2437, 2437, -2*w^5 + 6*w^4 + 5*w^3 - 19*w^2 + w + 6]', '[2441, 2441, w^5 - 2*w^4 - 4*w^3 + 6*w^2 + 6*w - 3]', '[2443, 2443, 2*w^5 - 3*w^4 - 9*w^3 + 7*w^2 + 9*w - 4]', '[2443, 2443, 3*w^5 - 4*w^4 - 13*w^3 + 9*w^2 + 11*w]', '[2443, 2443, -w^5 + w^4 + 4*w^3 - w^2 - w - 3]', '[2447, 2447, -2*w^5 + 3*w^4 + 7*w^3 - 4*w^2 - 4*w - 3]', '[2447, 2447, -2*w^5 + 6*w^4 + 5*w^3 - 17*w^2 - 2*w + 2]', '[2449, 2449, 3*w^5 - 7*w^4 - 10*w^3 + 19*w^2 + 11*w - 6]', '[2449, 2449, w^4 - w^3 - 3*w^2 - 3*w + 1]', '[2461, 2461, 2*w^5 - 2*w^4 - 9*w^3 - w^2 + 10*w + 5]', '[2471, 2471, 2*w^4 - 3*w^3 - 8*w^2 + 4*w + 9]', '[2471, 2471, 4*w^5 - 9*w^4 - 14*w^3 + 25*w^2 + 12*w - 10]', '[2471, 2471, -4*w^5 + 8*w^4 + 15*w^3 - 20*w^2 - 15*w + 4]', '[2473, 2473, -3*w^5 + 6*w^4 + 13*w^3 - 20*w^2 - 12*w + 11]', '[2473, 2473, -3*w^5 + 4*w^4 + 12*w^3 - 7*w^2 - 7*w - 2]', '[2479, 2479, -4*w^5 + 6*w^4 + 17*w^3 - 13*w^2 - 17*w + 1]', '[2479, 2479, -2*w^5 + 3*w^4 + 11*w^3 - 12*w^2 - 9*w + 6]', '[2483, 2483, -w^5 + 3*w^4 + 3*w^3 - 13*w^2 + 2*w + 7]', '[2483, 2483, w^5 - w^4 - 6*w^3 + 3*w^2 + 10*w - 3]', '[2489, 2489, -2*w^5 + 5*w^4 + 4*w^3 - 14*w^2 + 4*w + 5]', '[2489, 2489, 3*w^4 - 6*w^3 - 8*w^2 + 13*w]', '[2507, 2507, -3*w^5 + 6*w^4 + 11*w^3 - 15*w^2 - 11*w + 2]', '[2509, 2509, -2*w^5 + 5*w^4 + 4*w^3 - 12*w^2 + 3*w - 2]', '[2513, 2513, 4*w^5 - 9*w^4 - 14*w^3 + 26*w^2 + 13*w - 9]', '[2513, 2513, -2*w^5 + 4*w^4 + 5*w^3 - 9*w^2 - w + 5]', '[2521, 2521, 2*w^5 - 5*w^4 - 6*w^3 + 13*w^2 + 5*w - 3]', '[2521, 2521, -4*w^5 + 9*w^4 + 12*w^3 - 24*w^2 - 2*w + 4]', '[2527, 133, -4*w^5 + 9*w^4 + 11*w^3 - 23*w^2 - 2*w + 6]', '[2527, 2527, -2*w^5 + 2*w^4 + 9*w^3 - 2*w^2 - 7*w - 4]', '[2527, 2527, -w^5 + 5*w^4 - 2*w^3 - 14*w^2 + 6*w + 5]', '[2551, 2551, 4*w^5 - 10*w^4 - 11*w^3 + 29*w^2 + w - 13]', '[2557, 2557, -w^5 + 2*w^4 + 4*w^3 - 4*w^2 - 2*w - 4]', '[2569, 2569, 2*w^4 - 2*w^3 - 7*w^2 + 5]', '[2569, 2569, -3*w^5 + 3*w^4 + 17*w^3 - 6*w^2 - 20*w - 3]', '[2591, 2591, -w^5 + 3*w^4 + w^3 - 10*w^2 + 7*w + 8]', '[2599, 2599, w^5 - 3*w^4 - w^3 + 4*w^2 + 2*w + 2]', '[2603, 2603, -2*w^5 + 5*w^4 + 7*w^3 - 14*w^2 - 6*w + 2]', '[2603, 2603, -2*w^5 + 2*w^4 + 8*w^3 - 2*w^2 - 6*w - 3]', '[2609, 2609, -2*w^5 + 5*w^4 + 6*w^3 - 15*w^2 - 3*w + 3]', '[2611, 2611, -w^5 + 3*w^4 + w^3 - 7*w^2 + 3*w + 5]', '[2621, 2621, w^5 - 3*w^4 - 4*w^3 + 12*w^2 + 7*w - 8]', '[2641, 2641, 2*w^5 - 6*w^4 - 2*w^3 + 17*w^2 - 7*w - 7]', '[2641, 2641, -w^5 + 6*w^3 + w^2 - 9*w]', '[2653, 2653, -4*w^5 + 7*w^4 + 14*w^3 - 15*w^2 - 10*w + 5]', '[2653, 2653, w^5 - 5*w^4 - w^3 + 20*w^2 - 2*w - 13]', '[2657, 2657, 4*w^5 - 7*w^4 - 17*w^3 + 21*w^2 + 14*w - 9]', '[2657, 2657, 2*w^5 - 5*w^4 - 4*w^3 + 13*w^2 - 3*w - 6]', '[2663, 2663, -3*w^5 + 4*w^4 + 14*w^3 - 11*w^2 - 11*w + 4]', '[2669, 2669, -w^5 + w^4 + 6*w^3 - 11*w - 5]', '[2669, 2669, w^3 - 4*w^2 - w + 5]', '[2671, 2671, -w^5 + 4*w^4 + w^3 - 11*w^2]', '[2671, 2671, -w^5 + 2*w^4 + 5*w^3 - 10*w^2 - 4*w + 10]', '[2671, 2671, 2*w^5 - w^4 - 11*w^3 + 11*w - 1]', '[2677, 2677, -2*w^5 + 5*w^4 + 8*w^3 - 16*w^2 - 10*w + 6]', '[2677, 2677, -4*w^5 + 7*w^4 + 15*w^3 - 17*w^2 - 12*w + 6]', '[2681, 2681, 3*w^5 - 6*w^4 - 11*w^3 + 13*w^2 + 12*w - 2]', '[2683, 2683, 2*w^5 - 3*w^4 - 10*w^3 + 9*w^2 + 10*w - 5]', '[2689, 2689, -3*w^5 + 7*w^4 + 8*w^3 - 19*w^2 - 2*w + 11]', '[2693, 2693, 2*w^5 - 2*w^4 - 10*w^3 + 3*w^2 + 11*w - 1]', '[2699, 2699, w^4 - w^3 - 2*w^2 + w - 4]', '[2711, 2711, w^5 - 9*w^3 + w^2 + 15*w + 2]', '[2711, 2711, 2*w^5 - 2*w^4 - 9*w^3 + 3*w^2 + 4*w + 2]', '[2713, 2713, -3*w^5 + 6*w^4 + 10*w^3 - 14*w^2 - 3*w + 2]', '[2713, 2713, -5*w^5 + 11*w^4 + 15*w^3 - 28*w^2 - 7*w + 10]', '[2723, 2723, w^5 - 6*w^3 - 5*w^2 + 8*w + 6]', '[2729, 2729, 3*w^5 - 8*w^4 - 7*w^3 + 20*w^2 + w - 2]', '[2729, 2729, 4*w^4 - 7*w^3 - 13*w^2 + 15*w + 6]', '[2737, 2737, 4*w^5 - 8*w^4 - 14*w^3 + 21*w^2 + 7*w - 7]', '[2743, 2743, 2*w^5 - 5*w^4 - 6*w^3 + 16*w^2 + 4*w - 13]', '[2749, 2749, 4*w^5 - 7*w^4 - 17*w^3 + 19*w^2 + 14*w - 7]', '[2767, 2767, w^5 - 2*w^4 - 2*w^3 + 4*w^2 - 3*w + 4]', '[2777, 2777, -w^5 + 3*w^4 + 4*w^3 - 11*w^2 - 5*w + 9]', '[2777, 2777, w^4 - w^3 - 3*w^2 + w - 3]', '[2777, 2777, -3*w^5 + 5*w^4 + 12*w^3 - 11*w^2 - 12*w + 5]', '[2779, 2779, 3*w^5 - 2*w^4 - 17*w^3 + w^2 + 20*w + 7]', '[2783, 253, 2*w^5 - 6*w^4 - 3*w^3 + 15*w^2 + 2*w - 6]', '[2789, 2789, 5*w^5 - 10*w^4 - 19*w^3 + 28*w^2 + 14*w - 10]', '[2791, 2791, -4*w^5 + 8*w^4 + 15*w^3 - 21*w^2 - 10*w + 3]', '[2807, 2807, 3*w^5 - 6*w^4 - 11*w^3 + 19*w^2 + 4*w - 10]', '[2807, 2807, 2*w^5 - 6*w^4 - 5*w^3 + 22*w^2 - w - 14]', '[2821, 2821, 2*w^5 - 6*w^4 - 3*w^3 + 15*w^2 - 4]', '[2833, 2833, -3*w^5 + 6*w^4 + 10*w^3 - 17*w^2 - 2*w + 5]', '[2837, 2837, -w^5 + 4*w^4 + w^3 - 11*w^2 + 3]', '[2861, 2861, 2*w^5 - w^4 - 12*w^3 - w^2 + 13*w + 7]', '[2863, 2863, 2*w^5 - w^4 - 11*w^3 - 4*w^2 + 16*w + 10]', '[2863, 2863, -4*w^5 + 8*w^4 + 13*w^3 - 20*w^2 - 9*w + 8]', '[2873, 2873, w^5 - 2*w^4 - 2*w^3 + 3*w^2 - 3*w + 5]', '[2875, 115, -3*w^5 + 4*w^4 + 15*w^3 - 10*w^2 - 14*w - 1]', '[2875, 115, -2*w^5 + 3*w^4 + 9*w^3 - 8*w^2 - 5*w + 2]', '[2879, 2879, 5*w^5 - 10*w^4 - 18*w^3 + 26*w^2 + 13*w - 8]', '[2879, 2879, -w^4 + 4*w^3 + w^2 - 10*w + 2]', '[2887, 2887, -3*w^5 + 3*w^4 + 15*w^3 - 6*w^2 - 13*w]', '[2897, 2897, w^5 - 7*w^3 + 6*w - 3]', '[2897, 2897, -3*w^5 + 5*w^4 + 12*w^3 - 13*w^2 - 8*w + 3]', '[2899, 2899, -9*w^5 + 24*w^4 + 19*w^3 - 63*w^2 + 8*w + 13]', '[2917, 2917, 5*w^5 - 10*w^4 - 16*w^3 + 23*w^2 + 8*w - 5]', '[2917, 2917, w^5 - w^4 - 7*w^3 + 4*w^2 + 9*w - 5]', '[2921, 2921, -w^4 + w^3 + 2*w^2 + 3*w - 1]', '[2923, 2923, -2*w^5 + 5*w^4 + 8*w^3 - 17*w^2 - 9*w + 5]', '[2923, 2923, -3*w^5 + 9*w^4 + 6*w^3 - 25*w^2 - 4*w + 11]', '[2923, 2923, -2*w^4 + w^3 + 9*w^2 - 2]', '[2923, 2923, w^5 - 5*w^4 + 2*w^3 + 13*w^2 - 3*w - 4]', '[2933, 2933, w^5 - 5*w^4 + w^3 + 17*w^2 - 5*w - 11]', '[2933, 2933, w^5 - 3*w^4 + 5*w^2 - 3*w - 5]', '[2939, 2939, -2*w^5 + 3*w^4 + 7*w^3 - 6*w^2 - 3*w - 2]', '[2941, 2941, -w^4 + 2*w^3 + 2*w^2 - 4*w - 4]', '[2951, 2951, -5*w^5 + 12*w^4 + 13*w^3 - 30*w^2 - 2*w + 6]', '[2953, 2953, -w^5 + 8*w^3 - 11*w + 1]', '[2957, 2957, w^5 - 6*w^4 + 2*w^3 + 20*w^2 - 6*w - 8]', '[2957, 2957, 4*w^5 - 10*w^4 - 10*w^3 + 28*w^2 - w - 13]', '[2957, 2957, -3*w^5 + 5*w^4 + 11*w^3 - 10*w^2 - 5*w - 3]', '[2963, 2963, 3*w^5 - 5*w^4 - 10*w^3 + 8*w^2 + 7*w]', '[2969, 2969, -2*w^5 + 6*w^4 + 3*w^3 - 18*w^2 + 3*w + 7]', '[2969, 2969, -5*w^5 + 10*w^4 + 17*w^3 - 27*w^2 - 7*w + 10]', '[2971, 2971, -4*w^5 + 10*w^4 + 11*w^3 - 27*w^2 - 6*w + 8]', '[2971, 2971, 3*w^5 - 4*w^4 - 13*w^3 + 9*w^2 + 7*w]', '[2977, 2977, -7*w^5 + 19*w^4 + 12*w^3 - 48*w^2 + 15*w + 5]', '[2983, 2983, -w^5 + 3*w^4 + w^3 - 10*w^2 + 5*w + 7]', '[2983, 2983, 2*w^5 - 2*w^4 - 10*w^3 + 5*w^2 + 10*w - 1]', '[2983, 2983, 2*w^5 - 4*w^4 - 8*w^3 + 15*w^2 + 7*w - 11]', '[2983, 2983, -3*w^5 + 6*w^4 + 10*w^3 - 19*w^2 - 5*w + 8]', '[3007, 3007, -3*w^5 + 6*w^4 + 12*w^3 - 17*w^2 - 10*w + 4]', '[3007, 3007, -w^5 - w^4 + 9*w^3 + 5*w^2 - 12*w - 5]', '[3008, 94, -2*w^3 + 4*w^2 + 2*w - 6]', '[3011, 3011, w^4 - 3*w^3 - w^2 + 9*w - 2]', '[3013, 3013, -w^5 + 4*w^4 - w^3 - 10*w^2 + 7*w + 5]', '[3019, 3019, w^5 - 7*w^3 - w^2 + 12*w + 1]', '[3019, 3019, 2*w^5 - 3*w^4 - 7*w^3 + 4*w^2 + 6*w + 3]', '[3029, 3029, -3*w^5 + 5*w^4 + 11*w^3 - 8*w^2 - 8*w - 7]', '[3037, 3037, -2*w^5 + 3*w^4 + 10*w^3 - 9*w^2 - 8*w + 4]', '[3041, 3041, -2*w^5 + 2*w^4 + 10*w^3 - 2*w^2 - 9*w - 7]', '[3043, 3043, -w^4 + 2*w^3 + 3*w^2 - 8*w - 2]', '[3049, 3049, -2*w^5 + 5*w^4 + 5*w^3 - 15*w^2 + 4*w + 5]', '[3049, 3049, 3*w^2 - 5*w - 3]', '[3049, 3049, w^5 - 2*w^4 - 5*w^3 + 9*w^2 + 4*w - 9]', '[3059, 3059, -3*w^5 + 6*w^4 + 11*w^3 - 17*w^2 - 5*w + 4]', '[3059, 3059, -3*w^5 + 7*w^4 + 7*w^3 - 17*w^2 + 2*w + 6]', '[3073, 3073, w^5 - 3*w^4 - 3*w^3 + 12*w^2 + 2*w - 5]', '[3077, 3077, -2*w^5 + 4*w^4 + 7*w^3 - 8*w^2 - 6*w - 4]', '[3077, 3077, 4*w^5 - 8*w^4 - 15*w^3 + 23*w^2 + 9*w - 10]', '[3077, 3077, -w^5 + 4*w^4 - w^3 - 9*w^2 + 8*w + 2]', '[3079, 3079, 4*w^5 - 6*w^4 - 16*w^3 + 11*w^2 + 14*w + 2]', '[3101, 3101, -2*w^5 + 5*w^4 + 7*w^3 - 18*w^2 - 3*w + 13]', '[3121, 3121, -w^5 + 6*w^4 - 3*w^3 - 20*w^2 + 10*w + 11]', '[3131, 3131, -w^5 + 3*w^4 + 4*w^3 - 11*w^2 - 5*w + 2]', '[3131, 3131, 4*w^5 - 7*w^4 - 16*w^3 + 19*w^2 + 12*w - 6]', '[3136, 98, -2*w^5 + 4*w^4 + 6*w^3 - 8*w^2 - 2]', '[3137, 3137, 2*w^4 - w^3 - 11*w^2 + 3*w + 9]', '[3149, 3149, 2*w^5 - 4*w^4 - 7*w^3 + 11*w^2 + 3*w + 1]', '[3151, 3151, -2*w^5 + 2*w^4 + 11*w^3 - 3*w^2 - 11*w - 4]', '[3163, 3163, -4*w^5 + 9*w^4 + 11*w^3 - 24*w^2 + w + 8]', '[3169, 3169, 3*w^5 - 6*w^4 - 10*w^3 + 14*w^2 + 5*w - 4]', '[3169, 3169, 2*w^5 - 5*w^4 - 6*w^3 + 13*w^2 + 4*w + 2]', '[3187, 3187, w^5 - 5*w^3 - 6*w^2 + 6*w + 4]', '[3187, 3187, 2*w^5 - 5*w^4 - 4*w^3 + 14*w^2 - 5*w - 4]', '[3187, 3187, 4*w^5 - 9*w^4 - 12*w^3 + 22*w^2 + 8*w - 4]', '[3191, 3191, w^5 - 5*w^4 + 19*w^2 - 5*w - 13]', '[3193, 3193, -3*w^5 + 3*w^4 + 16*w^3 - 6*w^2 - 15*w - 1]', '[3197, 3197, -w^5 + 9*w^3 - w^2 - 12*w - 1]', '[3199, 3199, -4*w^5 + 7*w^4 + 18*w^3 - 20*w^2 - 16*w + 5]', '[3199, 3199, -4*w^5 + 8*w^4 + 14*w^3 - 20*w^2 - 10*w + 9]', '[3199, 3199, 5*w^5 - 7*w^4 - 23*w^3 + 17*w^2 + 21*w - 2]', '[3209, 3209, -w^5 + 4*w^4 - 14*w^2 + 8*w + 5]', '[3211, 3211, 3*w^4 - 5*w^3 - 11*w^2 + 9*w + 7]', '[3211, 3211, w^5 - 2*w^4 - 4*w^3 + 5*w^2 + 7*w - 1]', '[3221, 3221, -3*w^5 + 7*w^4 + 9*w^3 - 17*w^2 - 6*w + 4]', '[3229, 3229, -w^4 + 4*w^3 + 2*w^2 - 9*w - 1]', '[3241, 3241, w^5 - 5*w^4 + 17*w^2 - 2*w - 9]', '[3241, 3241, 3*w^5 - 5*w^4 - 14*w^3 + 14*w^2 + 17*w - 1]', '[3247, 3247, -w^5 + 3*w^4 - 5*w^2 + 4*w + 4]', '[3247, 3247, 2*w^5 - 2*w^4 - 11*w^3 + 4*w^2 + 11*w]', '[3251, 3251, -w^5 + 5*w^4 - 2*w^3 - 17*w^2 + 9*w + 9]', '[3251, 3251, 2*w^3 - 3*w^2 - 8*w + 2]', '[3253, 3253, 3*w^5 - 5*w^4 - 12*w^3 + 11*w^2 + 10*w + 4]', '[3253, 3253, 2*w^5 - 7*w^4 - 3*w^3 + 21*w^2 - 3*w - 5]', '[3263, 3263, 5*w^5 - 13*w^4 - 11*w^3 + 33*w^2 - 4*w - 1]', '[3271, 3271, 2*w^4 - 4*w^3 - 4*w^2 + 9*w]', '[3281, 3281, -2*w^5 + 3*w^4 + 8*w^3 - 4*w^2 - 6*w - 3]', '[3283, 3283, -w^5 + 3*w^4 + w^3 - 10*w^2 + 5*w + 6]', '[3287, 3287, 2*w^5 - 5*w^4 - 7*w^3 + 12*w^2 + 5*w - 4]', '[3287, 3287, -w^5 + 3*w^4 + 3*w^3 - 9*w^2 - w + 7]', '[3301, 3301, w^5 - 3*w^4 - 2*w^3 + 9*w^2 + 3*w - 2]', '[3307, 3307, -3*w^5 + 5*w^4 + 14*w^3 - 15*w^2 - 15*w + 4]', '[3313, 3313, -2*w^5 + 2*w^4 + 11*w^3 - 4*w^2 - 10*w]', '[3313, 3313, 3*w^5 - 4*w^4 - 14*w^3 + 10*w^2 + 10*w - 2]', '[3317, 3317, -3*w^5 + 5*w^4 + 15*w^3 - 15*w^2 - 18*w + 1]', '[3323, 3323, -2*w^5 + 4*w^4 + 6*w^3 - 9*w^2 - 2*w - 3]', '[3341, 3341, -2*w^5 + 7*w^4 - 20*w^2 + 13*w + 9]', '[3341, 3341, 3*w^5 - 7*w^4 - 11*w^3 + 23*w^2 + 7*w - 10]', '[3341, 3341, -6*w^5 + 17*w^4 + 10*w^3 - 46*w^2 + 14*w + 12]', '[3347, 3347, w^5 + w^4 - 7*w^3 - 7*w^2 + 9*w + 2]', '[3359, 3359, 4*w^5 - 6*w^4 - 18*w^3 + 14*w^2 + 16*w + 1]', '[3359, 3359, -2*w^5 + 4*w^4 + 6*w^3 - 8*w^2 - 3*w + 5]', '[3359, 3359, -2*w^5 + 4*w^4 + 4*w^3 - 7*w^2 + 4*w + 1]', '[3361, 3361, 2*w^5 - 2*w^4 - 9*w^3 - w^2 + 10*w + 7]', '[3367, 3367, -w^5 + w^4 + 6*w^3 - 5*w^2 - 8*w + 4]', '[3367, 3367, w^5 - 2*w^4 - w^3 + 2*w^2 - 4*w + 1]', '[3373, 3373, 4*w^5 - 8*w^4 - 13*w^3 + 20*w^2 + 7*w - 8]', '[3373, 3373, -2*w^5 + 4*w^4 + 7*w^3 - 8*w^2 - 8*w + 3]', '[3379, 3379, 2*w^5 - 13*w^3 - 6*w^2 + 16*w + 12]', '[3389, 3389, w^5 - 4*w^4 + 2*w^3 + 10*w^2 - 11*w - 6]', '[3389, 3389, -3*w^5 + 8*w^4 + 7*w^3 - 22*w^2 + 3*w + 7]', '[3391, 3391, -w^5 + 8*w^3 + w^2 - 12*w + 1]', '[3401, 3401, -w^5 + 3*w^4 - w^3 - 9*w^2 + 6*w + 3]', '[3401, 3401, -w^5 + 4*w^4 - 10*w^2 + 8*w + 2]', '[3407, 3407, 2*w^5 - 5*w^4 - 7*w^3 + 18*w^2 + 3*w - 7]', '[3409, 3409, 2*w^5 - 2*w^4 - 11*w^3 + 3*w^2 + 15*w + 7]', '[3419, 3419, 7*w^5 - 20*w^4 - 12*w^3 + 54*w^2 - 12*w - 13]', '[3419, 3419, 7*w^5 - 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14*w^2 - 5*w + 5]', '[3493, 3493, -2*w^4 + 5*w^3 + 7*w^2 - 10*w - 9]', '[3493, 3493, w^4 - 2*w^3 - 6*w^2 + 7*w + 10]', '[3499, 3499, 3*w^5 - 8*w^4 - 6*w^3 + 22*w^2 - 5*w - 10]', '[3499, 3499, -w^5 + w^4 + 4*w^3 - 5*w - 5]', '[3503, 3503, -3*w^5 + 4*w^4 + 15*w^3 - 11*w^2 - 13*w + 1]', '[3527, 3527, 5*w^5 - 9*w^4 - 20*w^3 + 25*w^2 + 14*w - 8]', '[3527, 3527, w^5 - 5*w^4 + 2*w^3 + 14*w^2 - 6*w - 8]', '[3527, 3527, -w^5 + w^4 + 6*w^3 - w^2 - 6*w - 4]', '[3527, 3527, 2*w^4 - 4*w^3 - 6*w^2 + 6*w - 1]', '[3529, 3529, -2*w^5 + 2*w^4 + 8*w^3 + w^2 - 6*w - 5]', '[3529, 3529, -w^5 + 6*w^3 + 3*w^2 - 4*w - 8]', '[3533, 3533, w^5 + w^4 - 7*w^3 - 8*w^2 + 10*w + 4]', '[3539, 3539, -w^5 + 7*w^3 + 4*w^2 - 12*w - 3]', '[3547, 3547, -w^5 + 4*w^4 - w^3 - 11*w^2 + 7*w + 9]', '[3557, 3557, -3*w^4 + 6*w^3 + 8*w^2 - 13*w - 1]', '[3559, 3559, 5*w^5 - 11*w^4 - 16*w^3 + 31*w^2 + 7*w - 9]', '[3559, 3559, 3*w^5 - 7*w^4 - 7*w^3 + 17*w^2 - 2*w - 8]', '[3571, 3571, -2*w^5 + 7*w^4 + 2*w^3 - 21*w^2 + 8*w + 7]', '[3587, 3587, -w^5 + 5*w^3 + 6*w^2 - 6*w - 8]', '[3589, 3589, w^5 - w^4 - 5*w^3 + 2*w^2 + w + 2]', '[3589, 3589, w^5 - 2*w^4 - 6*w^3 + 9*w^2 + 7*w - 6]', '[3589, 3589, 3*w^5 - 4*w^4 - 12*w^3 + 6*w^2 + 9*w + 3]', '[3589, 3589, 2*w^5 - 3*w^4 - 9*w^3 + 8*w^2 + 11*w - 2]', '[3593, 3593, w^5 - 3*w^4 - 2*w^3 + 10*w^2 - 4*w - 5]', '[3601, 3601, 2*w^5 - 4*w^4 - 6*w^3 + 6*w^2 + 3*w + 7]', '[3601, 3601, 2*w^5 - 6*w^4 - 2*w^3 + 13*w^2 - 6*w + 3]', '[3601, 3601, -3*w^5 + 5*w^4 + 13*w^3 - 11*w^2 - 16*w + 1]', '[3611, 3611, 3*w^5 - 5*w^4 - 12*w^3 + 9*w^2 + 13*w]', '[3611, 3611, -3*w^5 + 8*w^4 + 7*w^3 - 19*w^2 - 4*w + 7]', '[3617, 3617, -w^5 + 6*w^4 - 4*w^3 - 18*w^2 + 13*w + 8]', '[3623, 3623, 2*w^5 - 4*w^4 - 8*w^3 + 9*w^2 + 10*w - 1]', '[3623, 3623, -3*w^5 + 7*w^4 + 9*w^3 - 17*w^2 - 8*w + 4]', '[3629, 3629, 2*w^5 - 5*w^4 - 5*w^3 + 13*w^2 - 7]', '[3629, 3629, -2*w^5 + 3*w^4 + 10*w^3 - 8*w^2 - 10*w + 4]', '[3629, 3629, -2*w^5 + 4*w^4 + 7*w^3 - 8*w^2 - 6*w + 3]', '[3629, 3629, w^5 - 3*w^4 - 3*w^3 + 9*w^2 - w - 5]', '[3643, 3643, 3*w^5 - 3*w^4 - 16*w^3 + 5*w^2 + 18*w]', '[3643, 3643, -w^5 + 5*w^4 - w^3 - 18*w^2 + 6*w + 11]', '[3653, 3653, 2*w^5 - 7*w^4 + 19*w^2 - 11*w - 7]', '[3659, 3659, -4*w^5 + 6*w^4 + 16*w^3 - 12*w^2 - 12*w + 1]', '[3661, 3661, -5*w^5 + 7*w^4 + 22*w^3 - 13*w^2 - 23*w - 2]', '[3667, 3667, w^5 - 2*w^4 - 3*w^3 + 2*w^2 + 4]', '[3667, 3667, 2*w^5 - 4*w^4 - 6*w^3 + 12*w^2 + 3*w - 3]', '[3671, 3671, -w^5 + 3*w^4 + 2*w^3 - 9*w^2 - w + 9]', '[3671, 3671, -2*w^5 + 7*w^4 + w^3 - 19*w^2 + 8*w + 8]', '[3677, 3677, 2*w^5 - 5*w^4 - 4*w^3 + 13*w^2 - 2*w - 6]', '[3677, 3677, -3*w^5 + 7*w^4 + 9*w^3 - 19*w^2 - 6*w + 6]', '[3679, 3679, -3*w^5 + 11*w^4 - 29*w^2 + 14*w + 9]', '[3679, 3679, 3*w^5 - 10*w^4 - w^3 + 26*w^2 - 16*w - 8]', '[3689, 3689, 4*w^5 - 7*w^4 - 16*w^3 + 17*w^2 + 12*w - 1]', '[3691, 3691, 4*w^5 - 7*w^4 - 14*w^3 + 14*w^2 + 9*w]', '[3697, 3697, -2*w^5 + 7*w^4 + 2*w^3 - 22*w^2 + 5*w + 13]', '[3697, 3697, 3*w^5 - 8*w^4 - 6*w^3 + 22*w^2 - 4*w - 10]', '[3697, 3697, w^5 - w^4 - 5*w^3 + 10*w + 2]', '[3701, 3701, 4*w^5 - 7*w^4 - 15*w^3 + 17*w^2 + 11*w - 8]', '[3703, 3703, -3*w^4 + 6*w^3 + 8*w^2 - 12*w - 1]', '[3709, 3709, -w^5 + 2*w^4 + w^3 - 2*w^2 + 4*w - 5]', '[3709, 3709, 2*w^5 - 6*w^4 - 5*w^3 + 21*w^2 - 9]', '[3713, 3713, 3*w^4 - 4*w^3 - 13*w^2 + 9*w + 5]', '[3713, 3713, -4*w^4 + 6*w^3 + 15*w^2 - 10*w - 7]', '[3719, 3719, w^5 + w^4 - 9*w^3 - 4*w^2 + 15*w + 1]', '[3719, 3719, -w^5 + 5*w^4 - 3*w^3 - 13*w^2 + 10*w + 2]', '[3733, 3733, 2*w^5 - 5*w^4 - 5*w^3 + 11*w^2 + 4*w + 2]', '[3737, 3737, -w^5 + w^4 + 2*w^3 + 3*w^2 + 2*w - 3]', '[3737, 3737, -w^4 + 5*w^2 + 5*w - 1]', '[3737, 3737, -3*w^5 + 5*w^4 + 13*w^3 - 16*w^2 - 10*w + 9]', '[3737, 3737, -3*w^5 + 5*w^4 + 13*w^3 - 12*w^2 - 12*w + 4]', '[3739, 3739, w^5 - 3*w^4 - 2*w^3 + 8*w^2 + 4*w - 5]', '[3739, 3739, -2*w^5 + 7*w^4 + 3*w^3 - 23*w^2 + 4*w + 10]', '[3751, 341, 2*w^5 - 7*w^4 - 3*w^3 + 21*w^2 + w - 12]', '[3757, 3757, -w^4 + w^3 + 2*w^2 + w + 3]', '[3779, 3779, -w^5 + 2*w^4 + 4*w^3 - 6*w^2 - 5*w - 2]', '[3779, 3779, -4*w^5 + 7*w^4 + 15*w^3 - 16*w^2 - 8*w]', '[3791, 3791, -4*w^5 + 8*w^4 + 13*w^3 - 20*w^2 - 5*w + 3]', '[3793, 3793, -2*w^5 + 4*w^4 + 5*w^3 - 9*w^2 + 6]', '[3793, 3793, -2*w^5 + 5*w^4 + 5*w^3 - 13*w^2 - 3*w + 3]', '[3803, 3803, 2*w^5 - 6*w^4 - 5*w^3 + 20*w^2 - 2*w - 7]', '[3809, 3809, -2*w^4 + 2*w^3 + 9*w^2 - 5*w - 6]', '[3811, 3811, 2*w^5 - 2*w^4 - 11*w^3 + 6*w^2 + 7*w - 2]', '[3811, 3811, 4*w^5 - 5*w^4 - 17*w^3 + 8*w^2 + 14*w + 1]', '[3821, 3821, -4*w^5 + 8*w^4 + 13*w^3 - 22*w^2 - 4*w + 9]', '[3821, 3821, 5*w^5 - 9*w^4 - 20*w^3 + 24*w^2 + 15*w - 6]', '[3823, 3823, 3*w^5 - 6*w^4 - 12*w^3 + 20*w^2 + 8*w - 8]', '[3833, 3833, -3*w^5 + 6*w^4 + 10*w^3 - 16*w^2 - 6*w + 2]', '[3833, 3833, 3*w^5 - 9*w^4 - 6*w^3 + 27*w^2 - 2*w - 14]', '[3833, 3833, w^5 + w^4 - 7*w^3 - 8*w^2 + 10*w + 9]', '[3847, 3847, -4*w^5 + 7*w^4 + 14*w^3 - 14*w^2 - 9*w - 2]', '[3853, 3853, 2*w^5 - w^4 - 13*w^3 + 3*w^2 + 14*w - 2]', '[3853, 3853, 5*w^5 - 11*w^4 - 15*w^3 + 29*w^2 + 4*w - 7]', '[3859, 3859, -2*w^5 + 4*w^4 + 8*w^3 - 12*w^2 - 7*w + 1]', '[3863, 3863, 6*w^5 - 12*w^4 - 21*w^3 + 31*w^2 + 14*w - 8]', '[3871, 3871, w^5 - 5*w^3 - 4*w^2 + 2*w + 6]', '[3871, 3871, -4*w^5 + 8*w^4 + 11*w^3 - 18*w^2 + 2*w + 1]', '[3875, 155, 3*w^5 - 4*w^4 - 14*w^3 + 5*w^2 + 18*w + 8]', '[3875, 155, -w^5 + w^4 + 5*w^3 - 4*w^2 - 2*w + 5]', '[3887, 3887, -w^5 + 7*w^3 + 4*w^2 - 11*w - 5]', '[3889, 3889, 2*w^5 - 5*w^4 - 4*w^3 + 11*w^2 - 4*w - 3]', '[3893, 3893, -w^5 + 5*w^4 - w^3 - 14*w^2 + 5*w + 1]', '[3899, 3899, 4*w^5 - 7*w^4 - 17*w^3 + 20*w^2 + 14*w - 9]', '[3907, 3907, -2*w^5 + w^4 + 11*w^3 + 3*w^2 - 14*w - 7]', '[3917, 3917, 6*w^5 - 12*w^4 - 21*w^3 + 32*w^2 + 12*w - 10]', '[3937, 3937, -3*w^4 + 5*w^3 + 10*w^2 - 7*w - 6]', '[3941, 3941, w^5 - 3*w^4 - 3*w^3 + 11*w^2 + 3*w - 3]', '[3941, 3941, -3*w^5 + 5*w^4 + 12*w^3 - 12*w^2 - 7*w + 3]', '[3943, 3943, w^5 + 2*w^4 - 9*w^3 - 10*w^2 + 12*w + 7]', '[3943, 3943, -3*w^5 + 6*w^4 + 10*w^3 - 16*w^2 - w + 5]', '[3943, 3943, 5*w^5 - 10*w^4 - 18*w^3 + 25*w^2 + 14*w - 6]', '[3947, 3947, -w^4 + 3*w^3 + w^2 - 9*w]', '[3959, 3959, w^5 - 3*w^4 - 5*w^3 + 14*w^2 + 5*w - 6]', '[3959, 3959, 3*w^5 - 6*w^4 - 12*w^3 + 16*w^2 + 15*w - 1]', '[3961, 3961, -3*w^5 + 4*w^4 + 15*w^3 - 8*w^2 - 19*w - 7]', '[3967, 3967, -w^4 + w^3 + 5*w^2 - 6*w - 3]', '[3979, 3979, 2*w^5 - 2*w^4 - 11*w^3 + 8*w^2 + 9*w - 2]', '[3989, 3989, w^5 - 2*w^4 - 5*w^3 + 10*w^2 + 5*w - 8]', '[3997, 3997, 2*w^5 - 3*w^4 - 9*w^3 + 5*w^2 + 11*w]', '[4001, 4001, 3*w^4 - 7*w^3 - 8*w^2 + 15*w + 2]', '[4001, 4001, w^5 - 3*w^4 - 4*w^3 + 12*w^2 + 5*w - 11]', '[4001, 4001, -4*w^5 + 8*w^4 + 15*w^3 - 21*w^2 - 14*w + 3]', '[4007, 4007, -4*w^5 + 8*w^4 + 13*w^3 - 20*w^2 - 5*w + 2]', '[4007, 4007, 4*w^5 - 10*w^4 - 10*w^3 + 25*w^2 + 3*w - 5]', '[4009, 4009, 3*w^5 - 7*w^4 - 11*w^3 + 22*w^2 + 8*w - 9]', '[4009, 4009, -2*w^5 + 6*w^4 + 6*w^3 - 22*w^2 - 3*w + 15]', '[4013, 4013, w^5 - 3*w^4 - w^3 + 8*w^2 - 5*w - 6]', '[4013, 4013, -3*w^5 + 3*w^4 + 16*w^3 - 6*w^2 - 18*w - 1]', '[4013, 4013, 4*w^5 - 10*w^4 - 10*w^3 + 25*w^2 + 2*w - 4]', '[4013, 4013, 4*w^5 - 6*w^4 - 18*w^3 + 16*w^2 + 16*w - 3]', '[4019, 4019, -2*w^5 + 5*w^4 + 7*w^3 - 14*w^2 - 8*w + 2]', '[4019, 4019, -3*w^2 + 4*w + 7]', '[4033, 4033, 2*w^5 - 7*w^4 - 3*w^3 + 22*w^2 - w - 12]', '[4033, 4033, -2*w^5 + 13*w^3 + 7*w^2 - 17*w - 11]', '[4039, 4039, -5*w^5 + 8*w^4 + 21*w^3 - 17*w^2 - 20*w]', '[4043, 4043, 7*w^5 - 16*w^4 - 21*w^3 + 43*w^2 + 7*w - 12]', '[4043, 4043, 4*w^5 - 13*w^4 - 4*w^3 + 37*w^2 - 14*w - 11]', '[4043, 4043, -8*w^5 + 20*w^4 + 20*w^3 - 53*w^2 + w + 10]', '[4043, 4043, w^5 - 6*w^4 + 4*w^3 + 19*w^2 - 13*w - 12]', '[4051, 4051, 2*w^5 - 3*w^4 - 8*w^3 + 6*w^2 + 9*w - 2]', '[4051, 4051, -3*w^4 + 3*w^3 + 14*w^2 - 6*w - 11]', '[4051, 4051, -4*w^5 + 11*w^4 + 8*w^3 - 30*w^2 + 3*w + 7]', '[4051, 4051, w^5 + w^4 - 9*w^3 - 4*w^2 + 12*w - 1]', '[4061, 4061, -3*w^5 + 4*w^4 + 14*w^3 - 8*w^2 - 16*w + 1]', '[4073, 4073, -4*w^5 + 9*w^4 + 10*w^3 - 20*w^2 - w + 3]', '[4073, 4073, -2*w^4 + 3*w^3 + 6*w^2 - 3*w + 2]', '[4079, 4079, 2*w^5 - 6*w^4 - 5*w^3 + 17*w^2 + 2*w - 4]', '[4091, 4091, -w^5 + 5*w^4 - 2*w^3 - 15*w^2 + 7*w + 9]', '[4091, 4091, -2*w^5 + 5*w^4 + 6*w^3 - 13*w^2 - 3*w - 1]', '[4093, 4093, 2*w^4 - w^3 - 12*w^2 + 3*w + 10]', '[4096, 4, -4]', '[4099, 4099, 2*w^5 - 3*w^4 - 11*w^3 + 11*w^2 + 13*w - 4]', '[4109, 4109, -5*w^5 + 10*w^4 + 19*w^3 - 29*w^2 - 16*w + 10]', '[4109, 4109, 5*w^5 - 9*w^4 - 20*w^3 + 21*w^2 + 20*w - 1]', '[4109, 4109, 2*w^5 - 4*w^4 - 7*w^3 + 10*w^2 + 8*w]', '[4117, 4117, w^5 - 5*w^3 - 4*w^2 + 8*w + 3]', '[4121, 4121, -5*w^5 + 12*w^4 + 12*w^3 - 27*w^2 - w - 1]', '[4121, 4121, -5*w^5 + 16*w^4 + 6*w^3 - 46*w^2 + 17*w + 12]', '[4123, 4123, w^4 - 4*w^3 + 8*w]', '[4123, 4123, 3*w^5 - 5*w^4 - 13*w^3 + 15*w^2 + 9*w - 4]', '[4139, 4139, -w^5 + 3*w^4 + 2*w^3 - 12*w^2 + 4*w + 10]', '[4151, 4151, -w^5 + w^4 + 7*w^3 - 4*w^2 - 10*w - 4]', '[4153, 4153, -w^5 + 5*w^3 + 6*w^2 - 4*w - 6]', '[4159, 4159, -4*w^5 + 10*w^4 + 12*w^3 - 29*w^2 - 7*w + 12]', '[4163, 4163, -2*w^5 + 6*w^4 + 4*w^3 - 17*w^2 + 4*w + 6]', '[4163, 4163, w^5 - 5*w^4 + 2*w^3 + 12*w^2 - 7*w - 4]', '[4163, 4163, -3*w^5 + 5*w^4 + 10*w^3 - 9*w^2 - 4*w - 2]', '[4181, 4181, 3*w^5 - 4*w^4 - 13*w^3 + 7*w^2 + 13*w]', '[4181, 4181, w^5 - 9*w^3 + 4*w^2 + 8*w - 3]', '[4199, 4199, 4*w^5 - 7*w^4 - 16*w^3 + 19*w^2 + 10*w - 7]', '[4199, 4199, -4*w^5 + 10*w^4 + 11*w^3 - 27*w^2 - 4*w + 6]', '[4219, 4219, -4*w^5 + 10*w^4 + 11*w^3 - 27*w^2 - 5*w + 10]', '[4219, 4219, -4*w^5 + 7*w^4 + 15*w^3 - 14*w^2 - 12*w - 1]', '[4231, 4231, 4*w^5 - 6*w^4 - 18*w^3 + 15*w^2 + 15*w - 3]', '[4237, 4237, w^5 - 4*w^4 + 9*w^2 - 5*w + 2]', '[4237, 4237, 6*w^5 - 14*w^4 - 16*w^3 + 37*w^2 + w - 9]', '[4247, 4247, 4*w^5 - 7*w^4 - 17*w^3 + 16*w^2 + 19*w + 1]', '[4253, 4253, -2*w^5 + 4*w^4 + 9*w^3 - 14*w^2 - 7*w + 4]', '[4253, 4253, 2*w^5 - 2*w^4 - 10*w^3 + w^2 + 12*w + 2]', '[4259, 4259, 2*w^4 - 3*w^3 - 6*w^2 + 6*w - 2]', '[4261, 4261, 2*w^4 - w^3 - 10*w^2 + w + 8]', '[4267, 4267, 5*w^5 - 7*w^4 - 20*w^3 + 11*w^2 + 14*w + 4]', '[4271, 4271, -w^5 + 3*w^4 + 2*w^3 - 12*w^2 + 3*w + 7]', '[4271, 4271, -w^5 + 4*w^4 + w^3 - 15*w^2 + 6*w + 7]', '[4271, 4271, -w^5 - w^4 + 8*w^3 + 5*w^2 - 12*w - 2]', '[4273, 4273, 2*w^5 - 6*w^4 - 5*w^3 + 19*w^2 - 6]', '[4277, 4277, 3*w^5 - 6*w^4 - 11*w^3 + 14*w^2 + 12*w - 6]', '[4283, 4283, -w^5 + 3*w^4 - 7*w^2 + 8*w + 5]', '[4283, 4283, 3*w^4 - 4*w^3 - 14*w^2 + 9*w + 11]', '[4288, 134, 4*w - 2]', '[4291, 4291, 3*w^5 - 5*w^4 - 12*w^3 + 13*w^2 + 8*w - 2]', '[4297, 4297, -3*w^5 + 8*w^4 + 6*w^3 - 20*w^2 + 5]', '[4297, 4297, -3*w^5 + 4*w^4 + 15*w^3 - 11*w^2 - 15*w + 5]', '[4303, 4303, 4*w^5 - 7*w^4 - 15*w^3 + 16*w^2 + 12*w - 2]', '[4309, 4309, w^5 - 7*w^3 - 5*w^2 + 13*w + 8]', '[4313, 4313, w^5 - 2*w^4 - 3*w^3 + 2*w^2 + w + 3]', '[4313, 4313, 3*w^5 - 7*w^4 - 9*w^3 + 20*w^2 + 4*w - 5]', '[4327, 4327, w^5 - 2*w^4 - 4*w^3 + 3*w^2 + 6*w + 4]', '[4339, 4339, -2*w^5 + 4*w^4 + 6*w^3 - 8*w^2 - 5*w - 2]', '[4351, 4351, 2*w^5 - 8*w^4 + 21*w^2 - 10*w - 1]', '[4351, 4351, 4*w^5 - 8*w^4 - 11*w^3 + 20*w^2 - 4]', '[4357, 4357, 4*w^5 - 6*w^4 - 18*w^3 + 14*w^2 + 17*w - 4]', '[4363, 4363, 3*w^5 - 6*w^4 - 11*w^3 + 16*w^2 + 6*w - 4]', '[4369, 4369, 4*w^5 - 2*w^4 - 22*w^3 - 3*w^2 + 23*w + 8]', '[4369, 4369, w^5 + 3*w^4 - 11*w^3 - 13*w^2 + 15*w + 7]', '[4369, 4369, 4*w^5 - 6*w^4 - 15*w^3 + 11*w^2 + 10*w - 3]', '[4373, 4373, 2*w^5 - w^4 - 12*w^3 + 15*w]', '[4373, 4373, 3*w^5 - 4*w^4 - 15*w^3 + 9*w^2 + 18*w - 2]', '[4391, 4391, 2*w^5 - 6*w^4 - 6*w^3 + 21*w^2 + 3*w - 9]', '[4391, 4391, w^5 - 9*w^3 + w^2 + 16*w]', '[4393, 4393, w^5 - 3*w^4 + 7*w^2 - 4*w - 5]', '[4393, 4393, -w^5 - w^4 + 11*w^3 - 3*w^2 - 10*w + 1]', '[4403, 4403, -w^5 + w^4 + 7*w^3 - 4*w^2 - 12*w]', '[4403, 4403, -2*w^5 + w^4 + 12*w^3 - 16*w - 2]', '[4409, 4409, 2*w^5 - 2*w^4 - 12*w^3 + 7*w^2 + 15*w - 5]', '[4417, 4417, -3*w^5 + 6*w^4 + 10*w^3 - 16*w^2 - 6*w + 10]', '[4421, 4421, 4*w^5 - 9*w^4 - 13*w^3 + 25*w^2 + 9*w - 6]', '[4421, 4421, 2*w^5 - 5*w^4 - 5*w^3 + 16*w^2 - 4*w - 9]', '[4421, 4421, 5*w^5 - 10*w^4 - 18*w^3 + 26*w^2 + 12*w - 8]', '[4423, 4423, -4*w^5 + 9*w^4 + 14*w^3 - 27*w^2 - 10*w + 9]', '[4427, 4427, w^5 - w^4 - 5*w^3 + 7*w + 8]', '[4427, 4427, 4*w^5 - 7*w^4 - 16*w^3 + 16*w^2 + 13*w - 2]', '[4439, 4439, 2*w^5 - 5*w^4 - 6*w^3 + 12*w^2 + 5*w - 2]', '[4447, 4447, -w^5 + 4*w^4 + 2*w^3 - 13*w^2 - w + 2]', '[4447, 4447, -5*w^5 + 10*w^4 + 18*w^3 - 28*w^2 - 11*w + 10]', '[4451, 4451, -2*w^5 + 5*w^4 + 5*w^3 - 16*w^2 + 3*w + 6]', '[4451, 4451, 3*w^5 - 4*w^4 - 13*w^3 + 6*w^2 + 13*w]', '[4451, 4451, -3*w^5 + 3*w^4 + 15*w^3 - 4*w^2 - 15*w]', '[4459, 4459, -2*w^4 + 5*w^3 + 4*w^2 - 12*w]', '[4463, 4463, -4*w^5 + 7*w^4 + 15*w^3 - 17*w^2 - 12*w + 4]', '[4463, 4463, 3*w^5 - 6*w^4 - 9*w^3 + 15*w^2 + 2*w - 7]', '[4471, 4471, 3*w^5 - 6*w^4 - 9*w^3 + 14*w^2 - w - 4]', '[4471, 4471, w^5 - 4*w^4 + w^3 + 13*w^2 - 10*w - 6]', '[4477, 407, -4*w^5 + 12*w^4 + 8*w^3 - 33*w^2 - 4*w + 16]', '[4477, 407, -w^5 + 4*w^4 + 2*w^3 - 17*w^2 + 10]', '[4483, 4483, 3*w^5 - 4*w^4 - 14*w^3 + 8*w^2 + 16*w - 2]', '[4483, 4483, 3*w^5 - 4*w^4 - 13*w^3 + 9*w^2 + 11*w - 4]', '[4483, 4483, 4*w^5 - 7*w^4 - 15*w^3 + 18*w^2 + 10*w - 5]', '[4487, 4487, -4*w^5 + 6*w^4 + 19*w^3 - 17*w^2 - 20*w + 2]', '[4487, 4487, w^5 - 4*w^4 + w^3 + 12*w^2 - 8*w - 8]', '[4489, 67, 3*w^5 - 8*w^4 - 8*w^3 + 24*w^2 + 4*w - 9]', '[4489, 4489, -4*w^5 + 10*w^4 + 10*w^3 - 25*w^2 - 3*w + 6]', '[4493, 4493, w^5 - 4*w^4 - w^3 + 14*w^2 - 2*w - 3]', '[4493, 4493, -w^5 + 3*w^4 - 5*w^2 + 6*w + 1]', '[4493, 4493, -w^4 + 8*w^2 - 10]', '[4501, 4501, 2*w^5 - w^4 - 11*w^3 - 2*w^2 + 14*w + 6]', '[4501, 4501, 2*w^5 - 2*w^4 - 10*w^3 - w^2 + 14*w + 10]', '[4507, 4507, -w^5 + 4*w^4 + w^3 - 13*w^2 - w + 4]', '[4511, 4511, -4*w^5 + 13*w^4 + 3*w^3 - 32*w^2 + 13*w + 3]', '[4519, 4519, 4*w^5 - 8*w^4 - 13*w^3 + 19*w^2 + 6*w - 7]', '[4519, 4519, -2*w^5 + 4*w^4 + 7*w^3 - 10*w^2 - 5*w + 7]', '[4523, 4523, -3*w^4 + 5*w^3 + 10*w^2 - 11*w - 1]', '[4537, 4537, -3*w^4 + 5*w^3 + 10*w^2 - 7*w - 5]', '[4537, 4537, 4*w^5 - 7*w^4 - 14*w^3 + 15*w^2 + 8*w - 4]', '[4537, 4537, 3*w^5 - 9*w^4 - 3*w^3 + 24*w^2 - 11*w - 7]', '[4547, 4547, -w^5 + 5*w^3 + 7*w^2 - 8*w - 10]', '[4549, 4549, 5*w^5 - 10*w^4 - 17*w^3 + 27*w^2 + 8*w - 10]', '[4549, 4549, -2*w^5 + 5*w^4 + 6*w^3 - 15*w^2 - 3*w + 1]', '[4559, 4559, 2*w^5 - w^4 - 12*w^3 + w^2 + 15*w + 1]', '[4559, 4559, 2*w^5 - 3*w^4 - 8*w^3 + 5*w^2 + 9*w - 6]', '[4571, 4571, 2*w^3 - 2*w^2 - 3*w - 2]', '[4571, 4571, 2*w^4 - 4*w^3 - 6*w^2 + 9*w + 6]', '[4583, 4583, -2*w^5 + 7*w^4 + 3*w^3 - 23*w^2 + 4*w + 11]', '[4583, 4583, 5*w^5 - 9*w^4 - 20*w^3 + 24*w^2 + 15*w - 8]', '[4589, 4589, -w^5 + 5*w^4 - w^3 - 18*w^2 + 9*w + 10]', '[4589, 4589, 3*w^5 - 11*w^4 + 2*w^3 + 26*w^2 - 22*w - 1]', '[4589, 4589, w^5 - 3*w^4 - 4*w^3 + 13*w^2 + 3*w - 11]', '[4597, 4597, w^5 - 5*w^3 - 6*w^2 + 7*w + 6]', '[4597, 4597, 4*w^5 - 10*w^4 - 10*w^3 + 28*w^2 - 13]', '[4613, 4613, -3*w^4 + 5*w^3 + 9*w^2 - 7*w - 7]', '[4613, 4613, -2*w^5 + 5*w^4 + 5*w^3 - 13*w^2 - 4*w + 4]', '[4621, 4621, 5*w^5 - 10*w^4 - 17*w^3 + 25*w^2 + 11*w - 8]', '[4621, 4621, -4*w^5 + 8*w^4 + 13*w^3 - 20*w^2 - 3*w + 4]', '[4625, 185, 3*w^5 - 5*w^4 - 12*w^3 + 15*w^2 + 5*w - 7]', '[4625, 185, w^5 - 2*w^4 - 4*w^3 + 9*w^2 - w - 6]', '[4625, 185, 2*w^5 - 4*w^4 - 6*w^3 + 9*w^2 - 5]', '[4625, 185, -2*w^5 + w^4 + 13*w^3 - 19*w - 8]', '[4643, 4643, 4*w^5 - 8*w^4 - 15*w^3 + 20*w^2 + 13*w - 3]', '[4649, 4649, 4*w^5 - 7*w^4 - 14*w^3 + 16*w^2 + 7*w - 5]', '[4649, 4649, 3*w^5 - 5*w^4 - 11*w^3 + 13*w^2 + 4*w - 4]', '[4649, 4649, -2*w^4 + 5*w^3 + 5*w^2 - 10*w]', '[4651, 4651, -w^5 + 3*w^4 + w^3 - 10*w^2 + 6*w + 8]', '[4667, 4667, 2*w^5 - 7*w^4 - 3*w^3 + 24*w^2 - 4*w - 13]', '[4667, 4667, -3*w^5 + 6*w^4 + 10*w^3 - 17*w^2 - 3*w + 5]', '[4693, 247, -w^5 + 7*w^3 + 2*w^2 - 10*w + 1]', '[4693, 4693, w^5 - 3*w^4 - w^3 + 5*w^2 - w + 3]', '[4693, 4693, 2*w^5 - 5*w^4 - 4*w^3 + 11*w^2 - 2*w - 4]', '[4699, 4699, 2*w^4 - 3*w^3 - 6*w^2 + 5]', '[4699, 4699, 2*w^5 - 2*w^4 - 8*w^3 + 5*w + 4]', '[4703, 4703, -3*w^5 + 7*w^4 + 10*w^3 - 21*w^2 - 9*w + 10]', '[4703, 4703, -2*w^5 + 2*w^4 + 11*w^3 - 3*w^2 - 13*w]', '[4703, 4703, w^5 - 3*w^4 + w^3 + 4*w^2 - 8*w + 2]', '[4709, 4709, -5*w^5 + 5*w^4 + 26*w^3 - 9*w^2 - 26*w - 4]', '[4709, 4709, 3*w^5 - 3*w^4 - 15*w^3 + 4*w^2 + 16*w + 7]', '[4709, 4709, 2*w^5 - 2*w^4 - 9*w^3 + 2*w^2 + 6*w + 4]', '[4711, 4711, 2*w^5 - w^4 - 13*w^3 - w^2 + 16*w + 7]', '[4721, 4721, -3*w^5 + 9*w^4 + 6*w^3 - 28*w^2 + 3*w + 11]', '[4729, 4729, 2*w^5 - 2*w^4 - 12*w^3 + 6*w^2 + 17*w - 2]', '[4729, 4729, 3*w^5 - 6*w^4 - 13*w^3 + 19*w^2 + 13*w - 7]', '[4747, 4747, 2*w^4 - 4*w^3 - 4*w^2 + 7*w - 4]', '[4747, 4747, -w^5 - w^4 + 7*w^3 + 9*w^2 - 9*w - 8]', '[4751, 4751, -2*w^5 + 6*w^4 + 5*w^3 - 21*w^2 + 10]', '[4753, 4753, -4*w^5 + 12*w^4 + 7*w^3 - 32*w^2 + 5*w + 5]', '[4753, 4753, 3*w^5 - 9*w^4 - 4*w^3 + 26*w^2 - 8*w - 8]', '[4769, 4769, -2*w^5 + 6*w^4 + 5*w^3 - 18*w^2 - 2*w + 3]', '[4769, 4769, -4*w^5 + 7*w^4 + 13*w^3 - 13*w^2 - 4*w - 3]', '[4771, 4771, 4*w^5 - 11*w^4 - 5*w^3 + 25*w^2 - 12*w - 1]', '[4771, 4771, 6*w^5 - 14*w^4 - 16*w^3 + 35*w^2 + w - 1]', '[4777, 4777, -2*w^5 + w^4 + 11*w^3 + 2*w^2 - 14*w - 5]', '[4783, 4783, -w^5 + 8*w^3 - w^2 - 9*w + 2]', '[4789, 4789, -2*w^5 + 4*w^4 + 6*w^3 - 8*w^2 - 4*w - 3]', '[4793, 4793, -2*w^5 + 2*w^4 + 11*w^3 - 4*w^2 - 14*w + 3]', '[4811, 4811, -w^3 - 2*w^2 + 9*w + 4]', '[4811, 4811, -4*w^5 + 2*w^4 + 22*w^3 + 4*w^2 - 23*w - 7]', '[4813, 4813, -2*w^4 + 2*w^3 + 10*w^2 - 2*w - 11]', '[4817, 4817, -w^5 + w^4 + 6*w^3 - 6*w^2 - 5*w + 6]', '[4817, 4817, -w^5 + 2*w^4 + 2*w^3 - 6*w^2 + 4*w + 3]', '[4831, 4831, w^5 - 2*w^4 - w^3 + w^2 - 5*w + 2]', '[4837, 4837, -5*w^5 + 10*w^4 + 19*w^3 - 26*w^2 - 17*w + 7]', '[4837, 4837, -2*w^5 + 5*w^4 + 6*w^3 - 18*w^2 - w + 10]', '[4841, 4841, 3*w^5 - 8*w^4 - 7*w^3 + 21*w^2 + 2*w - 3]', '[4847, 4847, 4*w^5 - 7*w^4 - 16*w^3 + 17*w^2 + 12*w - 2]', '[4847, 4847, 4*w^5 - 9*w^4 - 11*w^3 + 22*w^2 + 4*w - 7]', '[4849, 4849, -4*w^5 + 9*w^4 + 12*w^3 - 24*w^2 - 2*w + 5]', '[4853, 4853, 4*w^5 - 9*w^4 - 12*w^3 + 22*w^2 + 10*w - 7]', '[4861, 4861, w^5 - 2*w^4 - 5*w^3 + 6*w^2 + 10*w]', '[4867, 4867, -3*w^5 + 8*w^4 + 7*w^3 - 23*w^2 - 3*w + 14]', '[4867, 4867, -w^5 - w^4 + 10*w^3 + 5*w^2 - 16*w - 10]', '[4871, 4871, -w^5 + 2*w^4 + 3*w^3 - 2*w^2 - 3*w - 7]', '[4871, 4871, -2*w^5 + 5*w^4 + 6*w^3 - 12*w^2 - 7*w + 1]', '[4871, 4871, w^5 - 5*w^4 + w^3 + 17*w^2 - 5*w - 8]', '[4883, 4883, 2*w^5 - 9*w^4 + w^3 + 28*w^2 - 11*w - 10]', '[4883, 4883, -w^5 - 3*w^4 + 10*w^3 + 14*w^2 - 14*w - 9]', '[4883, 4883, 3*w^5 - 5*w^4 - 10*w^3 + 12*w^2 + 5*w - 7]', '[4883, 4883, w^5 - 2*w^4 - w^3 + 3*w^2 - 7*w + 1]', '[4883, 4883, w^4 + 2*w^3 - 5*w^2 - 8*w + 1]', '[4883, 4883, -5*w^5 + 9*w^4 + 18*w^3 - 23*w^2 - 11*w + 10]', '[4889, 4889, w^5 - 6*w^3 - w^2 + 3*w + 3]', '[4889, 4889, -3*w^5 + 4*w^4 + 14*w^3 - 11*w^2 - 11*w + 6]', '[4903, 4903, 4*w^5 - 8*w^4 - 12*w^3 + 19*w^2 + 3*w - 4]', '[4903, 4903, -w^5 + 5*w^4 - w^3 - 16*w^2 + 8*w + 6]', '[4903, 4903, 3*w^5 - 6*w^4 - 8*w^3 + 13*w^2 - w - 4]', '[4907, 4907, -4*w^5 + 8*w^4 + 13*w^3 - 17*w^2 - 10*w + 5]', '[4907, 4907, -w^5 + 5*w^4 - 2*w^3 - 16*w^2 + 9*w + 14]', '[4907, 4907, 4*w^5 - 6*w^4 - 18*w^3 + 13*w^2 + 17*w - 2]', '[4909, 4909, 4*w^5 - 8*w^4 - 13*w^3 + 19*w^2 + 6*w - 6]', '[4913, 4913, w^5 - 2*w^4 - 4*w^3 + 4*w^2 + 3*w + 4]', '[4921, 4921, 2*w^5 - 6*w^4 - 3*w^3 + 17*w^2 - 5*w - 9]', '[4921, 4921, -2*w^5 + 3*w^4 + 9*w^3 - 6*w^2 - 10*w + 2]', '[4921, 4921, -3*w^5 + 4*w^4 + 13*w^3 - 9*w^2 - 8*w + 1]', '[4921, 4921, -w^5 + 2*w^4 + 6*w^3 - 9*w^2 - 8*w + 4]', '[4927, 4927, 4*w^5 - 10*w^4 - 12*w^3 + 29*w^2 + 7*w - 11]', '[4927, 4927, -2*w^5 + 4*w^4 + 7*w^3 - 13*w^2 - w + 7]', '[4931, 4931, -2*w^5 + w^4 + 11*w^3 + w^2 - 11*w - 6]', '[4931, 4931, 4*w^5 - 8*w^4 - 12*w^3 + 19*w^2 + 3*w - 5]', '[4931, 4931, -3*w^4 + 5*w^3 + 10*w^2 - 10*w - 7]', '[4937, 4937, -2*w^4 + 3*w^3 + 9*w^2 - 10*w - 6]', '[4937, 4937, -2*w^4 + 2*w^3 + 11*w^2 - 4*w - 8]', '[4937, 4937, 5*w^5 - 10*w^4 - 18*w^3 + 26*w^2 + 13*w - 9]', '[4937, 4937, 4*w^5 - 9*w^4 - 13*w^3 + 26*w^2 + 9*w - 10]', '[4943, 4943, -3*w^5 + 8*w^4 + 9*w^3 - 25*w^2 - 5*w + 9]', '[4943, 4943, 4*w^5 - 8*w^4 - 13*w^3 + 19*w^2 + 8*w - 6]', '[4949, 4949, -3*w^5 + 8*w^4 + 7*w^3 - 22*w^2 + 3*w + 8]', '[4949, 4949, w^5 - 6*w^4 + 3*w^3 + 20*w^2 - 10*w - 6]', '[4963, 4963, w^4 - w^3 - 7*w^2 + 5*w + 10]', '[4963, 4963, 4*w^5 - 8*w^4 - 15*w^3 + 20*w^2 + 13*w - 7]', '[4967, 4967, 2*w^5 - 4*w^4 - 6*w^3 + 7*w^2 + w + 3]', '[4967, 4967, 4*w^5 - 8*w^4 - 15*w^3 + 20*w^2 + 14*w - 4]', '[4969, 4969, 2*w^5 - 5*w^4 - 4*w^3 + 12*w^2 - 2*w - 7]', '[4973, 4973, 2*w^5 - 2*w^4 - 10*w^3 + 3*w^2 + 12*w]', '[4973, 4973, 5*w^5 - 11*w^4 - 15*w^3 + 29*w^2 + 6*w - 11]', '[4973, 4973, -w^5 + 7*w^3 + 2*w^2 - 11*w + 2]', '[4979, 4979, -2*w^5 + 4*w^4 + 5*w^3 - 6*w^2 - 2*w - 4]', '[4981, 4981, w^5 - w^4 - 2*w^3 - 4*w - 3]', '[4987, 4987, 2*w^5 - 4*w^4 - 5*w^3 + 7*w^2 + 3]', '[4991, 4991, -w^5 + 4*w^4 - 13*w^2 + 3*w + 7]', '[4997, 4997, 2*w^4 - 5*w^3 - 6*w^2 + 9*w - 1]', '[4997, 4997, 3*w^4 - 5*w^3 - 7*w^2 + 11*w]', '[4997, 4997, -5*w^5 + 12*w^4 + 13*w^3 - 31*w^2 + 2*w + 9]', '[4997, 4997, -4*w^5 + 11*w^4 + 7*w^3 - 31*w^2 + 8*w + 10]', '[4999, 4999, 3*w^5 - 5*w^4 - 10*w^3 + 9*w^2 + 4*w + 3]', '[5009, 5009, w^5 - w^4 - 5*w^3 + w^2 + 4*w - 3]', '[5011, 5011, -5*w^5 + 10*w^4 + 17*w^3 - 25*w^2 - 8*w + 6]', '[5021, 5021, 3*w^4 - 4*w^3 - 11*w^2 + 6*w + 8]', '[5029, 5029, 5*w^5 - 9*w^4 - 18*w^3 + 20*w^2 + 12*w - 2]', '[5039, 5039, -w^5 + 8*w^3 + w^2 - 13*w + 1]', '[5047, 5047, 2*w^4 - 2*w^3 - 6*w^2 + w - 1]', '[5051, 5051, -4*w^4 + 7*w^3 + 13*w^2 - 14*w - 6]', '[5056, 158, 2*w^4 - 2*w^3 - 8*w^2 + 4*w]', '[5056, 158, -2*w^5 + 4*w^4 + 6*w^3 - 10*w^2 - 2*w + 8]', '[5057, 5057, -4*w^5 + 10*w^4 + 10*w^3 - 26*w^2 - 2*w + 5]', '[5059, 5059, 4*w^5 - 7*w^4 - 14*w^3 + 16*w^2 + 6*w - 2]', '[5069, 5069, -w^5 + 3*w^4 + 3*w^3 - 8*w^2 - 5*w + 3]', '[5069, 5069, -3*w^5 + 4*w^4 + 15*w^3 - 10*w^2 - 19*w - 2]', '[5077, 5077, 2*w^5 - 6*w^4 - 3*w^3 + 18*w^2 - 3*w - 9]', '[5081, 5081, -w^4 + 4*w^3 - 8*w + 1]', '[5083, 5083, -3*w^5 + 6*w^4 + 10*w^3 - 13*w^2 - 7*w + 3]', '[5087, 5087, 4*w^5 - 7*w^4 - 16*w^3 + 20*w^2 + 11*w - 8]', '[5087, 5087, 2*w^5 - 6*w^4 - 3*w^3 + 18*w^2 - 3*w - 8]', '[5087, 5087, -3*w^5 + 7*w^4 + 8*w^3 - 20*w^2 + 11]', '[5087, 5087, -2*w^5 + 2*w^4 + 11*w^3 - 6*w^2 - 11*w + 2]', '[5089, 5089, -4*w^5 + 7*w^4 + 17*w^3 - 19*w^2 - 14*w + 5]', '[5099, 5099, 4*w^5 - 7*w^4 - 15*w^3 + 16*w^2 + 9*w - 5]', '[5101, 5101, -w^5 + w^4 + 6*w^3 - 5*w^2 - 4*w + 6]', '[5103, 21, -3*w^2 + 3*w + 6]', '[5113, 5113, 4*w^5 - 9*w^4 - 11*w^3 + 23*w^2 + 3*w - 7]', '[5119, 5119, 4*w^5 - 8*w^4 - 15*w^3 + 23*w^2 + 9*w - 9]', '[5119, 5119, -2*w^5 + 6*w^4 + 5*w^3 - 18*w^2 + 5]', '[5119, 5119, 2*w^5 - 5*w^4 - 8*w^3 + 19*w^2 + 7*w - 15]', '[5123, 5123, -3*w^5 + 5*w^4 + 10*w^3 - 10*w^2 - 5*w + 1]', '[5129, 5129, w^5 - 2*w^4 - 3*w^3 + 5*w^2 + 3]', '[5131, 5131, -w^4 + 9*w^2 - 3*w - 7]', '[5131, 5131, 3*w^5 - 2*w^4 - 17*w^3 + 18*w + 8]', '[5143, 5143, w^4 - 3*w^3 + 2*w^2 + 3*w - 5]', '[5143, 5143, -2*w^5 + 2*w^4 + 10*w^3 - 3*w^2 - 11*w - 6]', '[5147, 5147, w^5 - 5*w^4 + w^3 + 17*w^2 - 8*w - 8]', '[5153, 5153, -w^4 + 4*w^3 + 2*w^2 - 12*w - 1]', '[5161, 5161, -5*w^5 + 11*w^4 + 16*w^3 - 28*w^2 - 8*w + 2]', '[5167, 5167, -3*w^5 + 8*w^4 + 7*w^3 - 23*w^2 - w + 7]', '[5171, 5171, w^5 - w^4 - 7*w^3 + 4*w^2 + 13*w - 4]', '[5173, 5173, -4*w^5 + 7*w^4 + 18*w^3 - 19*w^2 - 17*w + 3]', '[5179, 5179, -2*w^4 + 4*w^3 + 4*w^2 - 5*w + 3]', '[5179, 5179, -w^5 + w^4 + 7*w^3 - 2*w^2 - 12*w]', '[5189, 5189, w^5 - 5*w^4 + 2*w^3 + 16*w^2 - 8*w - 6]', '[5189, 5189, -w^5 + 3*w^4 + 4*w^3 - 11*w^2 - 7*w + 8]', '[5201, 5201, -w^5 + 3*w^4 + 4*w^3 - 12*w^2 - 5*w + 3]', '[5209, 5209, 3*w^5 - 4*w^4 - 14*w^3 + 8*w^2 + 15*w - 2]', '[5213, 5213, 8*w^5 - 20*w^4 - 19*w^3 + 52*w^2 - 2*w - 14]', '[5213, 5213, 7*w^5 - 17*w^4 - 19*w^3 + 46*w^2 + 5*w - 14]', '[5221, 5221, w^5 - 7*w^3 + 6*w + 4]', '[5227, 5227, -w^5 + 4*w^4 - 12*w^2 + 6*w + 8]', '[5231, 5231, 3*w^5 - 6*w^4 - 11*w^3 + 15*w^2 + 12*w - 4]', '[5239, 5239, -5*w^5 + 11*w^4 + 15*w^3 - 28*w^2 - 5*w + 8]', '[5243, 5243, -2*w^5 + 2*w^4 + 9*w^3 - 7*w - 5]', '[5257, 5257, -3*w^5 + 7*w^4 + 10*w^3 - 18*w^2 - 11*w + 5]', '[5263, 5263, -w^5 + w^4 + 3*w^3 + w^2 + w - 6]', '[5263, 5263, -3*w^5 + 7*w^4 + 11*w^3 - 18*w^2 - 9*w + 4]', '[5263, 5263, -w^3 - 2*w^2 + 6*w + 5]', '[5263, 5263, -w^5 + 5*w^3 + 4*w^2 - 5*w - 9]', '[5263, 5263, 4*w^5 - 5*w^4 - 19*w^3 + 11*w^2 + 18*w - 1]', '[5263, 5263, -2*w^5 + 6*w^4 + 5*w^3 - 17*w^2 - 2*w + 5]', '[5267, 5267, 3*w^5 - 7*w^4 - 8*w^3 + 16*w^2 + w - 3]', '[5273, 5273, 2*w^5 - 4*w^4 - 7*w^3 + 13*w^2 - 6]', '[5273, 5273, 4*w^4 - 6*w^3 - 14*w^2 + 11*w + 6]', '[5281, 5281, -3*w^5 + 6*w^4 + 9*w^3 - 12*w^2 - 3*w + 2]', '[5287, 5287, -5*w^5 + 9*w^4 + 18*w^3 - 20*w^2 - 12*w + 1]', '[5287, 5287, 3*w^5 - 7*w^4 - 10*w^3 + 20*w^2 + 9*w - 4]', '[5287, 5287, -2*w^5 + 2*w^4 + 11*w^3 - w^2 - 18*w - 8]', '[5287, 5287, w^5 - 3*w^4 + 7*w^2 - 9*w - 5]', '[5293, 5293, 4*w^5 - 8*w^4 - 15*w^3 + 23*w^2 + 9*w - 8]', '[5293, 5293, 5*w^5 - 13*w^4 - 11*w^3 + 35*w^2 - 6*w - 10]', '[5297, 5297, 2*w^5 - 3*w^4 - 8*w^3 + 3*w^2 + 8*w + 4]', '[5297, 5297, -2*w^5 + 6*w^4 + 3*w^3 - 15*w^2 + 3]', '[5299, 5299, -5*w^5 + 8*w^4 + 20*w^3 - 18*w^2 - 16*w + 4]', '[5303, 5303, 4*w^5 - 6*w^4 - 18*w^3 + 15*w^2 + 15*w - 2]', '[5303, 5303, -2*w^5 + 3*w^4 + 10*w^3 - 10*w^2 - 12*w + 5]', '[5303, 5303, -w^5 + 2*w^4 + 3*w^3 - 2*w^2 - 3*w - 6]', '[5309, 5309, w^5 - 2*w^4 - 4*w^3 + 3*w^2 + 7*w + 5]', '[5311, 5311, -2*w^3 + 5*w^2 + 4*w - 8]', '[5317, 5317, -6*w^5 + 13*w^4 + 19*w^3 - 32*w^2 - 11*w + 5]', '[5317, 5317, -3*w^5 + 7*w^4 + 9*w^3 - 22*w^2 - w + 10]', '[5323, 5323, -4*w^5 + 8*w^4 + 16*w^3 - 21*w^2 - 16*w + 3]', '[5323, 5323, -w^5 + 2*w^4 + 4*w^3 - 6*w^2 - 2*w - 3]', '[5323, 5323, -w^5 + 4*w^4 - 2*w^3 - 8*w^2 + 10*w]', '[5327, 5327, -2*w^5 + 3*w^4 + 11*w^3 - 10*w^2 - 14*w + 3]', '[5333, 5333, -3*w^5 + 6*w^4 + 10*w^3 - 14*w^2 - 9*w + 2]', '[5333, 5333, -3*w^5 + 4*w^4 + 13*w^3 - 7*w^2 - 9*w - 4]', '[5339, 5339, -3*w^3 + w^2 + 7*w]', '[5339, 5339, 3*w^4 - 4*w^3 - 11*w^2 + 9*w + 6]', '[5341, 5341, w^5 - w^4 - 7*w^3 + 4*w^2 + 13*w - 2]', '[5347, 5347, 2*w^5 - 5*w^4 - 5*w^3 + 14*w^2 - 2*w - 9]', '[5351, 5351, 4*w^5 - 9*w^4 - 13*w^3 + 25*w^2 + 5*w - 9]', '[5351, 5351, 2*w^5 - 3*w^4 - 6*w^3 + 4*w^2 + w + 2]', '[5359, 5359, 5*w^5 - 7*w^4 - 23*w^3 + 16*w^2 + 22*w + 1]', '[5363, 5363, -w^4 + 8*w^2 - 4*w - 9]', '[5377, 5377, -w^5 - w^4 + 9*w^3 + 3*w^2 - 11*w - 1]', '[5377, 5377, w^5 + 3*w^4 - 11*w^3 - 14*w^2 + 16*w + 7]', '[5377, 5377, -w^5 + 2*w^4 + w^3 - 2*w^2 + 7*w + 1]', '[5377, 5377, 2*w^5 - 5*w^4 - 4*w^3 + 14*w^2 - 6*w - 6]', '[5381, 5381, -2*w^5 + 6*w^4 + 4*w^3 - 18*w^2 - w + 6]', '[5381, 5381, w^4 - 5*w^2 - 1]', '[5381, 5381, 2*w^4 - 2*w^3 - 11*w^2 + 6*w + 7]', '[5381, 5381, -3*w^5 + 5*w^4 + 12*w^3 - 10*w^2 - 12*w + 2]', '[5383, 5383, -w^5 + w^4 + 4*w^3 + 4*w^2 - 6*w - 6]', '[5387, 5387, w^5 - 4*w^4 - w^3 + 15*w^2 - 4*w - 7]', '[5389, 5389, -4*w^5 + 5*w^4 + 19*w^3 - 10*w^2 - 17*w - 5]', '[5389, 5389, -2*w^5 + 5*w^4 + 2*w^3 - 10*w^2 + 9*w + 5]', '[5393, 5393, -4*w^5 + 9*w^4 + 12*w^3 - 24*w^2 - 6*w + 6]', '[5393, 5393, 2*w^5 - 6*w^4 - 4*w^3 + 19*w^2 - 2*w - 5]', '[5393, 5393, 3*w^5 - 7*w^4 - 8*w^3 + 19*w^2 - w - 10]', '[5399, 5399, 3*w^5 - 7*w^4 - 8*w^3 + 20*w^2 - w - 9]', '[5407, 5407, 2*w^5 - 3*w^4 - 7*w^3 + 5*w^2 + 3*w + 4]', '[5411, 5411, -4*w^5 + 7*w^4 + 17*w^3 - 21*w^2 - 14*w + 6]', '[5411, 5411, 4*w^5 - 5*w^4 - 20*w^3 + 13*w^2 + 17*w - 2]', '[5411, 5411, 2*w^5 - 2*w^4 - 8*w^3 + 7*w + 4]', '[5413, 5413, 4*w^5 - 7*w^4 - 15*w^3 + 17*w^2 + 10*w - 1]', '[5413, 5413, 2*w^5 - w^4 - 11*w^3 - w^2 + 12*w + 1]', '[5417, 5417, -w^5 + 4*w^4 + 2*w^3 - 16*w^2 + 2*w + 8]', '[5417, 5417, 2*w^5 - 6*w^4 - 3*w^3 + 18*w^2 - 4*w - 12]', '[5419, 5419, -w^3 + w^2 + 4*w - 6]', '[5431, 5431, 2*w^5 - 4*w^4 - 8*w^3 + 10*w^2 + 10*w - 5]', '[5431, 5431, -2*w^5 + 6*w^4 + 2*w^3 - 17*w^2 + 9*w + 7]', '[5437, 5437, -3*w^5 + 5*w^4 + 13*w^3 - 11*w^2 - 14*w + 2]', '[5441, 5441, 3*w^5 - 8*w^4 - 7*w^3 + 21*w^2 + 3*w - 6]', '[5441, 5441, 3*w^5 - 7*w^4 - 8*w^3 + 18*w^2 + 3*w - 3]', '[5443, 5443, 2*w^4 - 2*w^3 - 9*w^2 + 6*w + 6]', '[5447, 5447, 6*w^5 - 15*w^4 - 16*w^3 + 42*w^2 + 2*w - 11]', '[5447, 5447, 3*w^4 - 7*w^3 - 6*w^2 + 12*w]', '[5471, 5471, w^5 - 2*w^4 - 3*w^3 + 5*w^2 - 6]', '[5479, 5479, w^4 - 2*w^3 - 5*w^2 + 8*w + 7]', '[5483, 5483, -3*w^5 + 8*w^4 + 7*w^3 - 20*w^2 - w + 4]', '[5483, 5483, -2*w^5 + 7*w^4 + 3*w^3 - 22*w^2 + 4*w + 9]', '[5491, 5491, -w^5 + 4*w^4 - w^3 - 11*w^2 + 5*w + 5]', '[5491, 5491, -w^5 + 4*w^4 + 2*w^3 - 14*w^2 + 4]', '[5501, 5501, 6*w^5 - 14*w^4 - 17*w^3 + 37*w^2 + 3*w - 9]', '[5507, 5507, w^5 - 3*w^4 - 2*w^3 + 8*w^2 - 2*w + 2]', '[5507, 5507, -3*w^5 + 7*w^4 + 11*w^3 - 21*w^2 - 10*w + 6]', '[5507, 5507, 3*w^5 - 4*w^4 - 14*w^3 + 11*w^2 + 11*w - 5]', '[5521, 5521, w^5 - 3*w^4 - 3*w^3 + 13*w^2 + w - 10]', '[5527, 5527, -2*w^5 + 7*w^4 + 3*w^3 - 22*w^2 + 3*w + 11]', '[5527, 5527, 3*w^5 - 5*w^4 - 11*w^3 + 9*w^2 + 7*w - 1]', '[5531, 5531, -3*w^4 + 4*w^3 + 13*w^2 - 11*w - 3]', '[5531, 5531, 2*w^5 - 7*w^4 - 2*w^3 + 22*w^2 - 6*w - 8]', '[5531, 5531, -2*w^5 + 4*w^4 + 9*w^3 - 11*w^2 - 12*w + 2]', '[5537, 5537, 2*w^5 - 5*w^4 - 4*w^3 + 14*w^2 - 5*w - 5]', '[5549, 5549, -w^5 + 8*w^3 - w^2 - 12*w - 2]', '[5567, 5567, -2*w^5 + 3*w^4 + 6*w^3 - 7*w^2 + 5]', '[5567, 5567, 3*w^5 - 3*w^4 - 12*w^3 + 5*w^2 + 9*w - 1]', '[5573, 5573, w^5 - 5*w^3 - 6*w^2 + 5*w + 10]', '[5581, 5581, -2*w^5 + 2*w^4 + 11*w^3 - 5*w^2 - 10*w + 2]', '[5591, 5591, -3*w^5 + 7*w^4 + 7*w^3 - 15*w^2 - w + 6]', '[5593, 5593, -4*w^5 + 9*w^4 + 11*w^3 - 22*w^2 - 5*w + 8]', '[5611, 5611, 3*w^5 - 7*w^4 - 10*w^3 + 20*w^2 + 8*w - 3]', '[5611, 5611, w^5 - w^4 - 5*w^3 + w^2 + 9*w]', '[5611, 5611, -2*w^5 + 2*w^4 + 11*w^3 - 6*w^2 - 13*w + 4]', '[5627, 5627, 2*w^5 - 4*w^4 - 10*w^3 + 12*w^2 + 14*w + 1]', '[5639, 5639, 2*w^5 - 4*w^4 - 9*w^3 + 14*w^2 + 10*w - 5]', '[5639, 5639, w^5 - 5*w^4 + 2*w^3 + 16*w^2 - 8*w - 11]', '[5641, 5641, 4*w^5 - 8*w^4 - 13*w^3 + 19*w^2 + 5*w - 6]', '[5641, 5641, -4*w^5 + 9*w^4 + 12*w^3 - 25*w^2 - 4*w + 6]', '[5647, 5647, w^3 - 3*w - 5]', '[5647, 5647, w^5 - 2*w^4 - 2*w^3 + 3*w^2 - 5*w + 1]', '[5651, 5651, -3*w^5 + 8*w^4 + 7*w^3 - 20*w^2 - w + 3]', '[5653, 5653, 2*w^5 - 5*w^4 - 7*w^3 + 15*w^2 + 6*w - 1]', '[5659, 5659, 3*w^5 - 7*w^4 - 10*w^3 + 19*w^2 + 7*w - 2]', '[5681, 5681, w^5 - 2*w^4 - 2*w^3 + w^2 - w + 6]', '[5681, 5681, -2*w^5 + 6*w^4 + 3*w^3 - 17*w^2 + 7*w + 6]', '[5683, 5683, -w^5 + 6*w^4 - 3*w^3 - 20*w^2 + 10*w + 9]', '[5687, 517, -w^5 + 7*w^3 + 2*w^2 - 7*w - 6]', '[5689, 5689, w^5 - w^4 - 4*w^3 + w + 6]', '[5693, 5693, -2*w^4 + 4*w^3 + 9*w^2 - 11*w - 8]', '[5701, 5701, 4*w^5 - 9*w^4 - 13*w^3 + 25*w^2 + 9*w - 7]', '[5701, 5701, 5*w^5 - 9*w^4 - 20*w^3 + 24*w^2 + 15*w - 7]', '[5701, 5701, -2*w^5 + 4*w^4 + 8*w^3 - 13*w^2 - 5*w + 2]', '[5701, 5701, -3*w^5 + 3*w^4 + 16*w^3 - 5*w^2 - 17*w - 1]', '[5707, 5707, 4*w^5 - 12*w^4 - 6*w^3 + 33*w^2 - 7*w - 9]', '[5711, 5711, 2*w^5 - 4*w^4 - 9*w^3 + 12*w^2 + 11*w - 6]', '[5711, 5711, 3*w^5 - 5*w^4 - 10*w^3 + 9*w^2 + 6*w - 1]', '[5737, 5737, 3*w^5 - 7*w^4 - 7*w^3 + 18*w^2 - 3*w - 7]', '[5741, 5741, 3*w^4 - 5*w^3 - 11*w^2 + 8*w + 5]', '[5743, 5743, 3*w^5 - 6*w^4 - 11*w^3 + 17*w^2 + 4*w - 6]', '[5743, 5743, -w^5 + 2*w^4 + 6*w^3 - 9*w^2 - 8*w + 6]', '[5747, 5747, w^5 + w^4 - 10*w^3 - 3*w^2 + 15*w + 7]', '[5747, 5747, -2*w^5 + 2*w^4 + 9*w^3 - 2*w^2 - 9*w]', '[5749, 5749, -2*w^5 + 4*w^4 + 7*w^3 - 12*w^2 + 5]', '[5759, 5759, -3*w^4 + 8*w^3 + 6*w^2 - 20*w + 6]', '[5761, 5761, 4*w^5 - 8*w^4 - 14*w^3 + 20*w^2 + 9*w - 7]', '[5761, 5761, 2*w^5 - 4*w^4 - 6*w^3 + 12*w^2 - 7]', '[5773, 5773, -3*w^5 + 7*w^4 + 9*w^3 - 17*w^2 - 8*w + 1]', '[5783, 5783, -4*w^5 + 8*w^4 + 14*w^3 - 20*w^2 - 7*w + 5]', '[5783, 5783, -w^5 + 3*w^4 + w^3 - 5*w^2 + 2*w - 4]', '[5789, 5789, -6*w^5 + 10*w^4 + 24*w^3 - 23*w^2 - 22*w + 4]', '[5789, 5789, 2*w^5 - 13*w^3 - 3*w^2 + 13*w + 5]', '[5801, 5801, w^5 - 2*w^4 - 2*w^3 + 6*w^2 - 4*w - 5]', '[5801, 5801, -2*w^5 + 4*w^4 + 5*w^3 - 6*w^2 + w - 5]', '[5803, 5803, -2*w^5 + 5*w^4 + 4*w^3 - 13*w^2 + 2*w + 7]', '[5807, 5807, w^5 - w^4 - 7*w^3 + 4*w^2 + 8*w - 3]', '[5809, 5809, 6*w^5 - 15*w^4 - 15*w^3 + 40*w^2 + 7*w - 19]', '[5809, 5809, 2*w^5 - 6*w^4 - 6*w^3 + 21*w^2 + w - 12]', '[5809, 5809, -2*w^5 + 5*w^4 + 4*w^3 - 12*w^2 - w + 8]', '[5809, 5809, 2*w^5 - 2*w^4 - 10*w^3 + w^2 + 14*w + 8]', '[5813, 5813, -w^5 + 2*w^4 + 5*w^3 - 5*w^2 - 8*w + 2]', '[5813, 5813, -w^5 + 2*w^4 + 2*w^3 - 2*w^2 - 6]', '[5821, 5821, w^5 - 3*w^4 - 3*w^3 + 11*w^2 + 2*w - 2]', '[5821, 5821, 2*w^5 - 6*w^4 - 6*w^3 + 24*w^2 + w - 17]', '[5821, 5821, -4*w^5 + 8*w^4 + 13*w^3 - 20*w^2 - 8*w + 5]', '[5824, 182, 2*w^5 - 2*w^4 - 12*w^3 + 6*w^2 + 14*w - 2]', '[5827, 5827, 3*w^4 - 4*w^3 - 12*w^2 + 11*w + 8]', '[5831, 5831, w^5 - 2*w^4 - 4*w^3 + 6*w^2 + 4*w - 7]', '[5839, 5839, -2*w^5 + 2*w^4 + 9*w^3 - w^2 - 5*w - 4]', '[5851, 5851, -3*w^5 + 8*w^4 + 9*w^3 - 25*w^2 - 5*w + 8]', '[5867, 5867, w^5 - 2*w^4 - 6*w^3 + 9*w^2 + 10*w - 5]', '[5869, 5869, -w^5 + 4*w^4 - 14*w^2 + 6*w + 7]', '[5875, 235, w^5 - 3*w^4 - w^3 + 10*w^2 - 6*w - 5]', '[5875, 235, -3*w^5 + 5*w^4 + 13*w^3 - 12*w^2 - 13*w + 4]', '[5879, 5879, -3*w^5 + 5*w^4 + 12*w^3 - 13*w^2 - 11*w + 6]', '[5881, 5881, 4*w^5 - 9*w^4 - 13*w^3 + 26*w^2 + 7*w - 8]', '[5881, 5881, 3*w^5 - 8*w^4 - 6*w^3 + 21*w^2 - w - 5]', '[5887, 203, w^5 + w^4 - 9*w^3 - 7*w^2 + 13*w + 12]', '[5899, 5899, -3*w^5 + 3*w^4 + 13*w^3 - 4*w^2 - 4*w - 2]', '[5909, 5909, 3*w^5 - 4*w^4 - 15*w^3 + 10*w^2 + 15*w - 2]', '[5909, 5909, -w^5 + 4*w^4 - 14*w^2 + 8*w + 11]', '[5909, 5909, w^5 - 3*w^4 - 2*w^3 + 7*w^2 - w + 3]', '[5909, 5909, -w^4 + w^3 + 7*w^2 - 8]', '[5909, 5909, 6*w^5 - 13*w^4 - 18*w^3 + 33*w^2 + 6*w - 7]', '[5909, 5909, -5*w^5 + 12*w^4 + 15*w^3 - 35*w^2 - 8*w + 12]', '[5909, 5909, w^5 - 8*w^3 - 2*w^2 + 11*w]', '[5909, 5909, -3*w^5 + 8*w^4 + 6*w^3 - 21*w^2 + 6*w + 8]', '[5911, 5911, w^5 - w^4 - 7*w^3 + 7*w^2 + 3*w - 6]', '[5911, 5911, -2*w^5 + 3*w^4 + 10*w^3 - 8*w^2 - 15*w - 1]', '[5911, 5911, -w^4 + 4*w^3 - 10*w]', '[5921, 5921, 4*w^5 - 7*w^4 - 16*w^3 + 16*w^2 + 15*w - 4]', '[5921, 5921, 2*w^3 - 7*w^2 + 3*w + 8]', '[5923, 5923, 4*w^5 - 6*w^4 - 15*w^3 + 8*w^2 + 13*w + 4]', '[5923, 5923, -2*w^5 + 2*w^4 + 9*w^3 - w^2 - 10*w - 1]', '[5929, 539, -w^5 + 3*w^4 + 3*w^3 - 11*w^2 - 5*w + 7]', '[5933, 5933, -2*w^5 + 12*w^3 + 5*w^2 - 14*w - 5]', '[5933, 5933, w^5 - 4*w^4 + 14*w^2 - 7*w - 6]', '[5933, 5933, 4*w^5 - 8*w^4 - 14*w^3 + 22*w^2 + 7*w - 6]', '[5941, 5941, -w^5 + w^4 + 7*w^3 - 6*w^2 - 8*w + 8]', '[5941, 5941, w^5 - 4*w^4 + w^3 + 12*w^2 - 8*w - 9]', '[5941, 5941, -3*w^5 + 10*w^4 + 3*w^3 - 28*w^2 + 9*w + 12]', '[5953, 5953, -w^5 + 2*w^4 + 6*w^3 - 8*w^2 - 8*w + 5]', '[5957, 5957, 3*w^4 - 5*w^3 - 10*w^2 + 9*w + 7]', '[5957, 5957, 2*w^4 - 3*w^3 - 8*w^2 + 9*w + 6]', '[5969, 5969, -3*w^5 + 6*w^4 + 12*w^3 - 17*w^2 - 10*w + 3]', '[5971, 5971, 2*w^5 - 4*w^4 - 9*w^3 + 13*w^2 + 8*w - 3]', '[5981, 5981, -4*w^5 + 8*w^4 + 14*w^3 - 20*w^2 - 11*w + 2]', '[5981, 5981, -w^5 + 5*w^4 - w^3 - 15*w^2 + 5*w + 6]', '[5983, 5983, -w^5 + 7*w^3 + 3*w^2 - 8*w - 7]', '[5987, 5987, -4*w^5 + 9*w^4 + 12*w^3 - 22*w^2 - 6*w + 5]', '[5999, 5999, 4*w^5 - 6*w^4 - 17*w^3 + 12*w^2 + 15*w - 2]', '[5999, 5999, 6*w^5 - 11*w^4 - 22*w^3 + 25*w^2 + 19*w - 6]', '[5999, 5999, -w^5 + 2*w^4 + 3*w^3 - 8*w^2 + 3*w + 9]', '[6001, 6001, -2*w^5 + w^4 + 12*w^3 + w^2 - 16*w - 1]', '[6001, 6001, w^4 - 4*w^3 - 2*w^2 + 11*w + 6]', '[6001, 6001, w^5 - 2*w^4 - 2*w^3 + 5*w^2 - 2*w - 6]', '[6019, 6019, 5*w^5 - 14*w^4 - 11*w^3 + 40*w^2 - 3*w - 11]', '[6019, 6019, -3*w^5 + 5*w^4 + 11*w^3 - 9*w^2 - 6*w - 5]', '[6023, 6023, -w^5 - w^4 + 8*w^3 + 6*w^2 - 12*w - 1]', '[6023, 6023, 4*w^5 - 10*w^4 - 8*w^3 + 25*w^2 - 7*w - 8]', '[6023, 6023, 3*w^5 - 7*w^4 - 9*w^3 + 17*w^2 + 6*w - 2]', '[6023, 6023, 3*w^5 - 5*w^4 - 11*w^3 + 10*w^2 + 6*w + 4]', '[6029, 6029, 3*w^5 - 6*w^4 - 11*w^3 + 15*w^2 + 9*w - 7]', '[6037, 6037, -4*w^5 + 10*w^4 + 11*w^3 - 27*w^2 - 4*w + 8]', '[6041, 6041, -w^5 + 2*w^4 + 2*w^3 - 4*w^2 + w + 5]', '[6043, 6043, -2*w^5 + 2*w^4 + 11*w^3 - 6*w^2 - 11*w + 3]', '[6047, 6047, -2*w^5 + 2*w^4 + 11*w^3 - 4*w^2 - 11*w + 1]', '[6049, 6049, w^5 - 6*w^3 - 2*w^2 + 8*w - 1]', '[6049, 6049, w^5 - w^4 - 6*w^3 + 11*w]', '[6053, 6053, -w^5 + 4*w^4 - w^3 - 12*w^2 + 6*w + 7]', '[6053, 6053, -2*w^5 + 2*w^4 + 7*w^3 + 2*w^2 - w - 5]', '[6067, 6067, 4*w^5 - 8*w^4 - 13*w^3 + 20*w^2 + 7*w - 5]', '[6073, 6073, -w^5 + 5*w^4 - 2*w^3 - 14*w^2 + 7*w + 7]', '[6079, 6079, -2*w^5 + 5*w^4 + 7*w^3 - 15*w^2 - 9*w + 7]', '[6089, 6089, -2*w^5 + 4*w^4 + 5*w^3 - 6*w^2 - w - 5]', '[6091, 6091, 2*w^5 - 5*w^4 - 7*w^3 + 14*w^2 + 9*w - 4]', '[6097, 6097, -5*w^5 + 10*w^4 + 18*w^3 - 24*w^2 - 16*w + 5]', '[6101, 6101, -w^5 + w^4 + 3*w^3 + 2*w^2 - w - 5]', '[6101, 6101, w^5 - 8*w^3 - w^2 + 10*w + 1]', '[6101, 6101, w^5 - 4*w^4 - w^3 + 13*w^2 - 10]', '[6101, 6101, w^5 + w^4 - 10*w^3 - 2*w^2 + 14*w - 1]', '[6103, 6103, 3*w^4 - 3*w^3 - 10*w^2 + w + 3]', '[6103, 6103, 2*w^5 - 3*w^4 - 6*w^3 + 5*w^2 - 3*w - 6]', '[6113, 6113, 2*w^5 - 4*w^4 - 7*w^3 + 9*w^2 + 9*w - 2]', '[6121, 6121, 3*w^5 - 5*w^4 - 13*w^3 + 13*w^2 + 15*w - 5]', '[6121, 6121, w^4 - w^3 - 6*w^2 + 6*w + 5]', '[6125, 245, w^5 + w^4 - 10*w^3 - 4*w^2 + 16*w + 2]', '[6125, 245, 3*w^4 - 6*w^3 - 9*w^2 + 11*w]', '[6131, 6131, 3*w^5 - 7*w^4 - 10*w^3 + 20*w^2 + 5*w - 5]', '[6133, 6133, -w^5 + 3*w^4 + 2*w^3 - 8*w^2 - 3]', '[6133, 6133, 3*w^5 - 6*w^4 - 12*w^3 + 16*w^2 + 13*w - 5]', '[6137, 323, -w^5 + 3*w^4 - 7*w^2 + 5*w + 6]', '[6137, 6137, -w^5 - w^4 + 9*w^3 + 7*w^2 - 15*w - 7]', '[6137, 6137, 4*w^5 - 6*w^4 - 17*w^3 + 13*w^2 + 16*w - 3]', '[6139, 6139, -w^5 + 5*w^4 - 2*w^3 - 15*w^2 + 8*w + 12]', '[6143, 6143, -2*w^5 + 5*w^4 + 7*w^3 - 15*w^2 - 4*w + 4]', '[6151, 6151, -5*w^5 + 11*w^4 + 15*w^3 - 28*w^2 - 7*w + 9]', '[6151, 6151, w^3 - w^2 - 3*w - 4]', '[6151, 6151, 2*w^4 - 4*w^3 - 7*w^2 + 12*w + 5]', '[6157, 6157, w^5 - 5*w^4 + 18*w^2 - 5*w - 11]', '[6163, 6163, 2*w^5 - 5*w^4 - 4*w^3 + 14*w^2 - 6*w - 5]', '[6167, 6167, -2*w^4 + w^3 + 13*w^2 - 5*w - 11]', '[6173, 6173, 4*w^5 - 6*w^4 - 16*w^3 + 12*w^2 + 13*w - 1]', '[6173, 6173, -w^5 + 5*w^4 - w^3 - 15*w^2 + 6*w + 6]', '[6173, 6173, -2*w^4 + 4*w^3 + 7*w^2 - 9*w]', '[6173, 6173, 3*w^4 - 4*w^3 - 14*w^2 + 8*w + 11]', '[6181, 6181, 5*w^5 - 8*w^4 - 21*w^3 + 20*w^2 + 16*w - 4]', '[6181, 6181, w^5 - 3*w^4 - 2*w^3 + 12*w^2 - 4*w - 8]', '[6181, 6181, -3*w^4 + 4*w^3 + 11*w^2 - 7*w - 7]', '[6197, 6197, w^5 - w^4 - 6*w^3 + 2*w^2 + 9*w - 4]', '[6197, 6197, 2*w^5 - 5*w^4 - 7*w^3 + 15*w^2 + 8*w - 7]', '[6199, 6199, 2*w^5 - 6*w^4 - 3*w^3 + 19*w^2 - 6*w - 11]', '[6199, 6199, -w^5 + 2*w^4 + 5*w^3 - 8*w^2 - 8*w + 3]', '[6203, 6203, 3*w^5 - 7*w^4 - 9*w^3 + 20*w^2 + 3*w - 4]', '[6208, 194, 2*w^5 - 4*w^4 - 6*w^3 + 12*w^2 - 6]', '[6208, 194, 2*w^5 - 6*w^4 - 4*w^3 + 18*w^2 - 4*w - 8]', '[6211, 6211, -w^5 + 4*w^4 + w^3 - 12*w^2 + 4*w + 8]', '[6223, 6223, -3*w^5 + 10*w^4 + 4*w^3 - 28*w^2 + 5*w + 6]', '[6229, 6229, 2*w^5 - 5*w^4 - 4*w^3 + 13*w^2 - 2*w - 8]', '[6229, 6229, w^5 - w^4 - 6*w^3 + 6*w^2 + 4*w - 6]', '[6229, 6229, w^5 - 6*w^4 + 3*w^3 + 19*w^2 - 11*w - 8]', '[6239, 6239, 5*w^5 - 8*w^4 - 20*w^3 + 15*w^2 + 17*w + 4]', '[6239, 6239, -2*w^5 + 11*w^3 + 6*w^2 - 10*w - 1]', '[6241, 79, -w^3 + 4*w^2 + 2*w - 6]', '[6241, 6241, 3*w^5 - 4*w^4 - 13*w^3 + 9*w^2 + 8*w]', '[6241, 6241, w^5 - w^4 - 6*w^3 + 3*w^2 + 7*w + 4]', '[6251, 6251, -3*w^5 + 5*w^4 + 13*w^3 - 16*w^2 - 12*w + 7]', '[6251, 6251, w^5 - 5*w^4 + 2*w^3 + 15*w^2 - 9*w - 10]', '[6253, 6253, -3*w^5 + 7*w^4 + 9*w^3 - 17*w^2 - 4*w + 4]', '[6253, 6253, -2*w^5 + 5*w^4 + 7*w^3 - 16*w^2 - 4*w + 5]', '[6257, 6257, -3*w^5 + 6*w^4 + 12*w^3 - 19*w^2 - 9*w + 6]', '[6257, 6257, -w^5 + 5*w^4 - 19*w^2 + 4*w + 10]', '[6271, 6271, 3*w^4 - 6*w^3 - 7*w^2 + 10*w]', '[6277, 6277, 2*w^5 - 3*w^4 - 9*w^3 + 9*w^2 + 5*w - 7]', '[6289, 6289, -2*w^5 + 5*w^4 + 8*w^3 - 15*w^2 - 9*w + 3]', '[6289, 6289, -2*w^5 + w^4 + 9*w^3 + 2*w^2 - 8*w - 5]', '[6299, 6299, 3*w^5 - 6*w^4 - 10*w^3 + 17*w^2 + 3*w - 4]', '[6299, 6299, w^5 - 3*w^4 - 3*w^3 + 11*w^2 - 2*w - 6]', '[6301, 6301, -3*w^5 + 5*w^4 + 13*w^3 - 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w - 5]', '[6871, 6871, w^5 - 4*w^4 - 2*w^3 + 16*w^2 - 2*w - 9]', '[6877, 6877, 3*w^5 - 7*w^4 - 8*w^3 + 18*w^2 + w - 9]', '[6889, 83, -4*w^5 + 8*w^4 + 13*w^3 - 19*w^2 - 8*w + 4]', '[6901, 6901, w^4 + w^3 - 8*w^2 - 2*w + 7]', '[6907, 6907, 2*w^5 - w^4 - 11*w^3 - w^2 + 10*w - 3]', '[6913, 6913, -5*w^5 + 10*w^4 + 17*w^3 - 25*w^2 - 11*w + 6]', '[6947, 6947, -4*w^5 + 8*w^4 + 13*w^3 - 19*w^2 - 9*w + 6]', '[6949, 6949, -3*w^5 + 4*w^4 + 16*w^3 - 13*w^2 - 15*w + 4]', '[6953, 6953, -5*w^5 + 7*w^4 + 23*w^3 - 16*w^2 - 22*w - 2]', '[6953, 6953, 3*w^4 - 4*w^3 - 10*w^2 + 5*w + 6]', '[6959, 6959, w^5 - 4*w^4 + 13*w^2 - 8*w - 7]', '[6959, 6959, 3*w^5 - 7*w^4 - 9*w^3 + 21*w^2 + 4*w - 7]', '[6961, 6961, 4*w^5 - 7*w^4 - 16*w^3 + 19*w^2 + 10*w - 4]', '[6971, 6971, 5*w^5 - 9*w^4 - 19*w^3 + 21*w^2 + 14*w - 3]', '[6971, 6971, -w^5 + 2*w^4 + 4*w^3 - 5*w^2 - 5*w - 4]', '[6973, 6973, -4*w^5 + 8*w^4 + 13*w^3 - 17*w^2 - 6*w - 2]', '[6973, 6973, w^5 + 2*w^4 - 9*w^3 - 8*w^2 + 12*w - 1]', '[6973, 6973, -3*w^5 + 6*w^4 + 10*w^3 - 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7*w^2 - 11*w + 3]', '[8683, 8683, -2*w^5 + 6*w^4 + 4*w^3 - 19*w^2 - 2*w + 8]', '[8683, 8683, w^5 + 2*w^4 - 8*w^3 - 12*w^2 + 10*w + 10]', '[8693, 8693, -3*w^5 + 8*w^4 + 6*w^3 - 17*w^2 + w - 1]', '[8693, 8693, -5*w^5 + 10*w^4 + 16*w^3 - 24*w^2 - 7*w + 4]', '[8711, 8711, -2*w^5 + 14*w^3 + 3*w^2 - 18*w - 8]', '[8717, 8717, 2*w^5 - 4*w^4 - 6*w^3 + 9*w^2 + w - 7]', '[8717, 8717, 3*w^3 - 7*w^2 - 5*w + 3]', '[8737, 8737, -5*w^5 + 7*w^4 + 24*w^3 - 18*w^2 - 22*w + 2]', '[8737, 8737, -w^5 + 2*w^4 + 2*w^3 - w^2 - w - 7]', '[8743, 8743, 3*w^5 - 5*w^4 - 10*w^3 + 9*w^2 + 6*w + 2]', '[8743, 8743, w^5 - 2*w^4 - 6*w^3 + 8*w^2 + 11*w - 6]', '[8747, 8747, 2*w^5 - 6*w^4 - 5*w^3 + 20*w^2 + 2*w - 7]', '[8749, 8749, -4*w^5 + 8*w^4 + 14*w^3 - 21*w^2 - 9*w + 2]', '[8768, 274, 2*w^4 - 4*w^3 - 6*w^2 + 10*w + 6]', '[8771, 8771, -5*w^5 + 11*w^4 + 12*w^3 - 26*w^2 + 2*w + 2]', '[8773, 8773, 3*w^4 - 8*w^3 - 6*w^2 + 15*w + 8]', '[8773, 8773, -4*w^5 + 2*w^4 + 24*w^3 + w^2 - 27*w - 9]', '[8777, 8777, -w^4 + 3*w^3 + 2*w^2 - 10*w]', '[8797, 8797, 4*w^5 - 6*w^4 - 17*w^3 + 12*w^2 + 12*w - 1]', '[8797, 8797, -w^4 + w^3 + 3*w^2 + 2*w + 5]', '[8797, 8797, 2*w^5 - w^4 - 10*w^3 + 8*w - 3]', '[8797, 8797, -6*w^5 + 11*w^4 + 20*w^3 - 26*w^2 - 7*w + 8]', '[8803, 8803, w^4 - 2*w^3 - 2*w^2 + w - 3]', '[8803, 8803, -w^5 + 4*w^4 - w^3 - 10*w^2 + 7*w + 6]', '[8803, 8803, w^5 - 2*w^4 - 6*w^3 + 8*w^2 + 9*w - 3]', '[8803, 8803, w^5 - 5*w^4 + w^3 + 18*w^2 - 11*w - 6]', '[8807, 8807, -2*w^5 + 5*w^4 + 5*w^3 - 16*w^2 + 3*w + 7]', '[8807, 8807, 4*w^4 - 7*w^3 - 13*w^2 + 15*w + 10]', '[8807, 8807, 3*w^5 - 6*w^4 - 8*w^3 + 11*w^2 + w + 2]', '[8809, 8809, 2*w^5 - 2*w^4 - 13*w^3 + 8*w^2 + 12*w]', '[8819, 8819, w^5 - 2*w^4 - 3*w^3 + 4*w^2 + 2*w - 5]', '[8819, 8819, -w^5 + 3*w^4 - 5*w^2 + 3*w - 3]', '[8821, 8821, 3*w^5 - 5*w^4 - 13*w^3 + 13*w^2 + 15*w - 4]', '[8827, 8827, 5*w^5 - 11*w^4 - 16*w^3 + 28*w^2 + 9*w - 7]', '[8827, 8827, -w^5 + 4*w^4 - w^3 - 13*w^2 + 11*w + 6]', '[8831, 8831, -3*w^5 + 6*w^4 + 11*w^3 - 16*w^2 - 5*w + 5]', '[8839, 8839, 4*w^5 - 8*w^4 - 14*w^3 + 19*w^2 + 10*w - 4]', '[8849, 8849, -4*w^5 + 13*w^4 + 3*w^3 - 35*w^2 + 15*w + 9]', '[8849, 8849, -3*w^5 + 6*w^4 + 11*w^3 - 18*w^2 - 6*w + 4]', '[8863, 8863, 4*w^5 - 6*w^4 - 15*w^3 + 13*w^2 + 8*w - 2]', '[8869, 8869, 6*w^5 - 15*w^4 - 12*w^3 + 38*w^2 - 9*w - 4]', '[8869, 8869, w^4 - 3*w^3 - 5*w^2 + 10*w + 8]', '[8869, 8869, -2*w^5 + 2*w^4 + 11*w^3 - 4*w^2 - 16*w - 1]', '[8887, 8887, 4*w^5 - 10*w^4 - 10*w^3 + 26*w^2 + 3*w - 7]', '[8891, 8891, 5*w^5 - 5*w^4 - 25*w^3 + 7*w^2 + 24*w + 7]', '[8893, 8893, -2*w^5 + 3*w^4 + 10*w^3 - 5*w^2 - 14*w]', '[8896, 278, -2*w^5 + 6*w^4 + 4*w^3 - 16*w^2 + 2*w]', '[8911, 8911, 5*w^5 - 8*w^4 - 21*w^3 + 21*w^2 + 18*w - 5]', '[8911, 8911, 3*w^5 - 2*w^4 - 17*w^3 + 20*w + 11]', '[8923, 8923, w^5 - 2*w^4 - 5*w^3 + 9*w^2 + 4*w - 10]', '[8923, 8923, -2*w^5 + 13*w^3 + 3*w^2 - 16*w - 3]', '[8927, 8927, 2*w^5 - 7*w^4 - w^3 + 17*w^2 - 8*w + 1]', '[8927, 8927, -w^5 + 2*w^4 + 6*w^3 - 8*w^2 - 9*w + 4]', '[8929, 8929, 3*w^5 - 6*w^4 - 10*w^3 + 13*w^2 + 6*w - 3]', '[8933, 8933, w^5 - 5*w^4 + 2*w^3 + 14*w^2 - 9*w + 2]', '[8933, 8933, 3*w^5 - 9*w^4 - 6*w^3 + 26*w^2 - 4*w - 5]', '[8939, 8939, 2*w^5 - 5*w^4 - 7*w^3 + 14*w^2 + 10*w - 4]', '[8947, 8947, -2*w^3 + 2*w^2 + 4*w + 3]', '[8951, 8951, -3*w^5 + 7*w^4 + 8*w^3 - 20*w^2 + 2*w + 8]', '[8953, 8953, -6*w^5 + 11*w^4 + 26*w^3 - 35*w^2 - 22*w + 13]', '[8959, 8959, -3*w^5 + 7*w^4 + 9*w^3 - 19*w^2 - 6*w + 4]', '[8977, 8977, 2*w^5 + w^4 - 15*w^3 - 7*w^2 + 21*w + 7]', '[8977, 8977, 2*w^5 - 6*w^4 - 3*w^3 + 17*w^2 - 8*w - 5]', '[8981, 8981, -w^5 + 3*w^4 - 8*w^2 + 5*w + 6]', '[8981, 8981, -3*w^5 + 4*w^4 + 15*w^3 - 12*w^2 - 15*w + 4]', '[8983, 8983, -7*w^5 + 18*w^4 + 16*w^3 - 48*w^2 + 2*w + 13]', '[8983, 8983, -3*w^5 + 10*w^4 + 4*w^3 - 31*w^2 + 9*w + 14]', '[8993, 8993, -w^5 + 2*w^4 + w^3 - 3*w^2 + 7*w - 2]', '[8999, 8999, 2*w^4 - 5*w^3 - 5*w^2 + 9*w]', '[9007, 9007, -4*w^5 + 12*w^4 + 8*w^3 - 35*w^2 + 15]', '[9007, 9007, -2*w^5 + 2*w^4 + 9*w^3 + 2*w^2 - 11*w - 8]', '[9007, 9007, 5*w^5 - 13*w^4 - 13*w^3 + 40*w^2 - 18]', '[9007, 9007, -3*w^5 + 8*w^4 + 9*w^3 - 26*w^2 - 7*w + 10]', '[9011, 9011, w^5 - 3*w^4 + 2*w^3 + 4*w^2 - 14*w + 1]', '[9013, 9013, 2*w^5 - 7*w^4 - 3*w^3 + 23*w^2 - 5*w - 12]', '[9013, 9013, -6*w^5 + 10*w^4 + 24*w^3 - 23*w^2 - 19*w - 1]', '[9023, 9023, 2*w^5 - 4*w^4 - 8*w^3 + 7*w^2 + 11*w]', '[9023, 9023, -2*w^5 + 4*w^4 + 9*w^3 - 16*w^2 - 8*w + 8]', '[9029, 9029, -3*w^5 + 8*w^4 + 5*w^3 - 20*w^2 + 6*w + 7]', '[9041, 9041, 5*w^5 - 10*w^4 - 17*w^3 + 24*w^2 + 10*w - 4]', '[9043, 9043, w^3 + w^2 - 7*w]', '[9049, 9049, -w^5 + 3*w^4 + 2*w^3 - 11*w^2 + 5*w + 7]', '[9049, 9049, 5*w^5 - 11*w^4 - 13*w^3 + 26*w^2 + w - 8]', '[9071, 9071, -6*w^5 + 14*w^4 + 18*w^3 - 38*w^2 - 7*w + 13]', '[9079, 9079, -w^5 + 3*w^4 + 2*w^3 - 12*w^2 + 4*w + 15]', '[9083, 9083, w^3 + 3*w^2 - 7*w - 7]', '[9091, 9091, -2*w^5 + 2*w^4 + 10*w^3 - 4*w^2 - 11*w + 3]', '[9091, 9091, -w^5 + 2*w^4 + 3*w^3 - 5*w^2 - w - 3]', '[9103, 9103, -4*w^5 + 10*w^4 + 12*w^3 - 29*w^2 - 6*w + 8]', '[9107, 9107, -3*w^5 + 6*w^4 + 10*w^3 - 14*w^2 - 9*w + 1]', '[9109, 9109, -w^4 + 2*w^3 + 4*w^2 - 5*w - 8]', '[9109, 9109, 3*w^5 - 7*w^4 - 10*w^3 + 22*w^2 + 6*w - 8]', '[9113, 9113, -2*w^5 + 5*w^4 + 6*w^3 - 17*w^2 + 2*w + 8]', '[9113, 9113, -2*w^5 + 5*w^4 + 4*w^3 - 11*w^2 + w - 4]', '[9113, 9113, -6*w^5 + 12*w^4 + 22*w^3 - 33*w^2 - 14*w + 9]', '[9127, 9127, 5*w^5 - 11*w^4 - 14*w^3 + 29*w^2 + 3*w - 9]', '[9131, 9131, 3*w^5 - 5*w^4 - 12*w^3 + 10*w^2 + 14*w + 4]', '[9137, 9137, 3*w^5 - 3*w^4 - 14*w^3 + 4*w^2 + 12*w - 3]', '[9139, 9139, -4*w^5 + 7*w^4 + 14*w^3 - 14*w^2 - 10*w + 2]', '[9139, 9139, -2*w^5 + 3*w^4 + 9*w^3 - 7*w^2 - 12*w + 1]', '[9139, 9139, 2*w^5 - 2*w^4 - 8*w^3 + 5*w + 5]', '[9139, 9139, w^3 - 3*w - 6]', '[9151, 9151, -w^5 + w^4 + 4*w^3 + 3*w^2 - 5*w - 7]', '[9157, 9157, 3*w^5 - 4*w^4 - 14*w^3 + 7*w^2 + 16*w]', '[9173, 9173, -w^4 + 6*w^2 + 2*w - 9]', '[9179, 9179, -3*w^5 + 8*w^4 + 7*w^3 - 22*w^2 + w + 10]', '[9181, 9181, w^4 - 2*w^3 + w - 4]', '[9187, 9187, -w^5 + w^4 + 7*w^3 - 3*w^2 - 12*w - 6]', '[9191, 9191, 4*w^5 - 8*w^4 - 13*w^3 + 18*w^2 + 7*w - 3]', '[9191, 9191, -5*w^5 + 11*w^4 + 16*w^3 - 30*w^2 - 10*w + 10]', '[9199, 9199, 6*w^5 - 15*w^4 - 16*w^3 + 41*w^2 + 2*w - 10]', '[9199, 9199, -2*w^5 + 5*w^4 + 7*w^3 - 15*w^2 - 5*w + 3]', '[9199, 9199, -3*w^5 + 6*w^4 + 11*w^3 - 17*w^2 - 7*w + 2]', '[9203, 9203, w^5 - 9*w^3 + w^2 + 14*w - 3]', '[9209, 9209, -w^5 + 6*w^3 + 3*w^2 - 9*w]', '[9209, 9209, -2*w^5 + 3*w^4 + 11*w^3 - 9*w^2 - 14*w + 2]', '[9209, 9209, -2*w^5 - w^4 + 16*w^3 + 7*w^2 - 24*w - 9]', '[9217, 9217, -4*w^4 + 9*w^3 + 11*w^2 - 22*w + 1]', '[9217, 9217, -2*w^3 + 4*w^2 + 3*w - 8]', '[9223, 9223, -2*w^4 + 3*w^3 + 6*w^2 - 6]', '[9223, 9223, w^5 - 3*w^4 - w^3 + 8*w^2 - w - 8]', '[9227, 9227, 4*w^5 - 8*w^4 - 13*w^3 + 21*w^2 + 5*w - 5]', '[9241, 9241, -w^4 + 3*w^3 + 2*w^2 - 10*w + 1]', '[9247, 9247, 3*w^5 - 5*w^4 - 14*w^3 + 14*w^2 + 16*w + 1]', '[9247, 9247, 2*w^4 - w^3 - 11*w^2 + 3*w + 7]', '[9253, 9253, w^5 - w^4 - 7*w^3 + 4*w^2 + 14*w]', '[9253, 9253, w^5 + w^4 - 9*w^3 - 7*w^2 + 12*w + 6]', '[9257, 9257, -w^5 + 3*w^4 + w^3 - 10*w^2 + 7*w + 6]', '[9269, 9269, w^5 + w^4 - 7*w^3 - 6*w^2 + 5*w + 6]', '[9277, 9277, 2*w^5 - 2*w^4 - 11*w^3 + 5*w^2 + 14*w - 5]', '[9281, 9281, -w^5 + w^4 + 4*w^3 + 2*w^2 - 2*w - 5]', '[9281, 9281, w^5 + w^4 - 7*w^3 - 5*w^2 + 7*w + 6]', '[9281, 9281, -w^5 + 8*w^3 + w^2 - 12*w - 8]', '[9283, 9283, -w^5 + 7*w^3 + w^2 - 11*w + 3]', '[9283, 9283, w^4 - 2*w^3 + 3*w - 5]', '[9287, 9287, w^5 - 6*w^4 + 3*w^3 + 18*w^2 - 7*w - 8]', '[9287, 9287, -3*w^5 + w^4 + 18*w^3 + 5*w^2 - 22*w - 9]', '[9289, 9289, -3*w^5 + 10*w^4 + 6*w^3 - 34*w^2 + 2*w + 20]', '[9293, 9293, 6*w^5 - 10*w^4 - 23*w^3 + 22*w^2 + 16*w - 5]', '[9293, 9293, -2*w^5 + w^4 + 11*w^3 + w^2 - 10*w - 6]', '[9293, 9293, -6*w^5 + 9*w^4 + 26*w^3 - 21*w^2 - 21*w + 4]', '[9293, 9293, -3*w^5 + 8*w^4 + 7*w^3 - 23*w^2 + 2*w + 12]', '[9313, 9313, w^5 + 2*w^4 - 9*w^3 - 9*w^2 + 13*w + 3]', '[9319, 9319, -w^5 + 2*w^4 + 3*w^3 - 4*w^2 - w - 5]', '[9323, 9323, -4*w^5 + 8*w^4 + 14*w^3 - 21*w^2 - 6*w + 7]', '[9341, 9341, 7*w^5 - 15*w^4 - 21*w^3 + 38*w^2 + 6*w - 12]', '[9343, 9343, -3*w^5 + 5*w^4 + 12*w^3 - 12*w^2 - 12*w + 5]', '[9349, 9349, -2*w^5 + 2*w^4 + 12*w^3 - 4*w^2 - 20*w + 1]', '[9359, 9359, -w^4 + w^3 + 2*w^2 - 2*w + 4]', '[9359, 9359, 3*w^5 - 5*w^4 - 12*w^3 + 14*w^2 + 7*w - 4]', '[9371, 9371, w^4 - 8*w^2 - w + 7]', '[9373, 9373, 2*w^5 - 4*w^4 - 8*w^3 + 9*w^2 + 11*w - 1]', '[9377, 9377, -w^5 - w^4 + 7*w^3 + 8*w^2 - 10*w - 8]', '[9391, 9391, -w^5 + 2*w^4 + 2*w^3 - w^2 + 2*w - 4]', '[9397, 9397, 2*w^5 - 6*w^4 - 3*w^3 + 17*w^2 - 7*w - 7]', '[9401, 9401, -5*w^5 + 6*w^4 + 21*w^3 - 10*w^2 - 8*w + 1]', '[9401, 9401, 6*w^5 - 8*w^4 - 26*w^3 + 18*w^2 + 15*w - 7]', '[9407, 9407, 2*w^5 - w^4 - 13*w^3 + 2*w^2 + 15*w + 7]', '[9407, 9407, -w^5 + w^4 + 7*w^3 - 8*w^2 - 7*w + 4]', '[9409, 97, -2*w^5 + 7*w^4 - 20*w^2 + 10*w + 9]', '[9409, 9409, -w^5 + 2*w^4 + 2*w^3 - w^2 + 2*w - 6]', '[9409, 9409, -2*w^5 + 4*w^4 + 5*w^3 - 6*w^2 + w - 3]', '[9413, 9413, 5*w^5 - 9*w^4 - 18*w^3 + 22*w^2 + 10*w - 5]', '[9413, 9413, 2*w^5 - 4*w^4 - 9*w^3 + 13*w^2 + 8*w - 2]', '[9419, 9419, w^4 - 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14*w^2 - 3*w + 3]', '[311, 311, w^5 - 4*w^4 + 13*w^2 - 6*w - 6]', '[311, 311, -3*w^5 + 6*w^4 + 11*w^3 - 15*w^2 - 10*w + 3]', '[311, 311, -w^4 + w^3 + 4*w^2 - 2*w - 5]', '[317, 317, -2*w^5 + 4*w^4 + 6*w^3 - 8*w^2 - 3*w + 2]', '[317, 317, -w^5 + 8*w^3 - 11*w - 1]', '[331, 331, -w^4 + 6*w^2 + w - 5]', '[347, 347, -2*w^4 + 4*w^3 + 5*w^2 - 6*w]', '[349, 349, 2*w^5 - 5*w^4 - 4*w^3 + 11*w^2 - 3*w]', '[349, 349, -2*w^4 + 4*w^3 + 5*w^2 - 8*w + 1]', '[349, 349, -2*w^5 + 4*w^4 + 7*w^3 - 9*w^2 - 4*w + 1]', '[353, 353, 2*w^5 - 4*w^4 - 8*w^3 + 13*w^2 + 7*w - 6]', '[353, 353, -w^5 + 2*w^4 + 2*w^3 - 2*w^2 + w - 4]', '[353, 353, -w^5 + w^4 + 4*w^3 - 3*w - 4]', '[359, 359, -2*w^5 + 5*w^4 + 7*w^3 - 16*w^2 - 6*w + 6]', '[359, 359, w^5 - 2*w^4 - 4*w^3 + 6*w^2 + w - 3]', '[367, 367, -w^5 + 2*w^4 + 2*w^3 - 2*w^2 + 2*w - 2]', '[367, 367, -w^5 + 3*w^4 + 2*w^3 - 9*w^2 - w + 2]', '[373, 373, w^5 - 2*w^4 - 3*w^3 + 6*w^2 - w - 3]', '[379, 379, -w^5 + 4*w^4 + w^3 - 14*w^2 + w + 8]', '[379, 379, -2*w^5 + 5*w^4 + 6*w^3 - 14*w^2 - 5*w + 4]', '[383, 383, -w^5 + w^4 + 6*w^3 - 4*w^2 - 7*w + 1]', '[389, 389, 2*w^4 - 3*w^3 - 7*w^2 + 5*w + 4]', '[397, 397, -w^5 + 7*w^3 + 3*w^2 - 10*w - 4]', '[401, 401, -2*w^5 + 6*w^4 + 4*w^3 - 18*w^2 + w + 9]', '[401, 401, -3*w^5 + 7*w^4 + 8*w^3 - 18*w^2 - w + 7]', '[409, 409, -2*w^4 + 4*w^3 + 7*w^2 - 8*w - 6]', '[409, 409, 2*w^5 - 4*w^4 - 8*w^3 + 12*w^2 + 5*w - 5]', '[419, 419, -w^5 + 4*w^4 + w^3 - 14*w^2 + 3*w + 7]', '[419, 419, 2*w^5 - 6*w^4 - 4*w^3 + 19*w^2 - 2*w - 9]', '[439, 439, w^5 - 4*w^4 - w^3 + 12*w^2 - w - 4]', '[443, 443, w^5 - 2*w^4 - 4*w^3 + 7*w^2 + 4*w - 7]', '[457, 457, -3*w^5 + 5*w^4 + 12*w^3 - 11*w^2 - 10*w + 2]', '[457, 457, 2*w^5 - 3*w^4 - 9*w^3 + 9*w^2 + 7*w - 5]', '[457, 457, 3*w^5 - 6*w^4 - 10*w^3 + 15*w^2 + 7*w - 4]', '[463, 463, -w^5 + 4*w^4 + w^3 - 14*w^2 + 2*w + 6]', '[463, 463, -w^5 + 2*w^4 + 5*w^3 - 6*w^2 - 8*w + 1]', '[487, 487, w^5 - 2*w^4 - 4*w^3 + 4*w^2 + 5*w + 3]', '[499, 499, w^2 - w - 5]', '[499, 499, w^4 - w^3 - 5*w^2 + 4*w + 5]', '[523, 523, 2*w^5 - 2*w^4 - 11*w^3 + 4*w^2 + 12*w + 1]', '[557, 557, -2*w^5 + 3*w^4 + 9*w^3 - 8*w^2 - 9*w + 5]', '[563, 563, w^5 - 4*w^4 - w^3 + 12*w^2 - w - 3]', '[563, 563, -3*w^5 + 6*w^4 + 9*w^3 - 14*w^2 - 2*w + 3]', '[571, 571, -2*w^4 + 4*w^3 + 5*w^2 - 8*w - 1]', '[577, 577, 3*w^5 - 5*w^4 - 12*w^3 + 12*w^2 + 9*w - 1]', '[587, 587, 3*w^5 - 7*w^4 - 10*w^3 + 20*w^2 + 7*w - 7]', '[587, 587, w^5 - 3*w^4 - 3*w^3 + 9*w^2 + 2*w - 1]', '[587, 587, -3*w^5 + 6*w^4 + 11*w^3 - 16*w^2 - 8*w + 2]', '[593, 593, w^5 - 3*w^4 - 2*w^3 + 7*w^2 + 2*w + 1]', '[613, 613, -2*w^5 + 5*w^4 + 6*w^3 - 15*w^2 - w + 7]', '[631, 631, -w^5 + w^4 + 6*w^3 - 4*w^2 - 6*w + 5]', '[641, 641, -w^5 + 8*w^3 - w^2 - 10*w + 1]', '[641, 641, 2*w^5 - 4*w^4 - 8*w^3 + 10*w^2 + 9*w - 2]', '[643, 643, -2*w^4 + 4*w^3 + 7*w^2 - 8*w - 4]', '[643, 643, w^5 - w^4 - 5*w^3 + w^2 + 5*w + 5]', '[653, 653, w^5 - 3*w^4 - w^3 + 9*w^2 - 5*w - 4]', '[653, 653, w^5 - 3*w^4 - w^3 + 7*w^2 - w]', '[659, 659, w^5 - 3*w^4 - 3*w^3 + 10*w^2 + w - 3]', '[659, 659, w^4 - w^3 - 6*w^2 + 3*w + 4]', '[673, 673, -w^5 + 6*w^3 + 3*w^2 - 8*w - 4]', '[691, 691, 2*w^5 - 6*w^4 - 4*w^3 + 17*w^2 - w - 7]', '[691, 691, 3*w^5 - 6*w^4 - 11*w^3 + 17*w^2 + 8*w - 5]', '[701, 701, 2*w^5 - 3*w^4 - 9*w^3 + 9*w^2 + 6*w - 3]', '[701, 701, w^5 - 3*w^4 - 2*w^3 + 11*w^2 - 3*w - 8]', '[701, 701, -2*w^5 + 2*w^4 + 10*w^3 - 4*w^2 - 10*w + 1]', '[709, 709, 2*w^5 - 3*w^4 - 9*w^3 + 9*w^2 + 8*w - 4]', '[709, 709, w^2 - 5]', '[727, 727, 3*w^5 - 6*w^4 - 10*w^3 + 15*w^2 + 6*w - 4]', '[729, 3, -3]', '[733, 733, -w^5 + 4*w^4 - 11*w^2 + 3*w + 5]', '[733, 733, -2*w^5 + 2*w^4 + 9*w^3 - w^2 - 8*w - 4]', '[739, 739, 3*w^5 - 6*w^4 - 10*w^3 + 15*w^2 + 7*w - 3]', '[743, 743, w^5 - 4*w^4 - w^3 + 12*w^2 - 3]', '[751, 751, -w^5 + 2*w^4 + 5*w^3 - 8*w^2 - 6*w + 3]', '[757, 757, 3*w^5 - 5*w^4 - 12*w^3 + 12*w^2 + 8*w - 3]', '[761, 761, w^4 - 3*w^3 - 2*w^2 + 9*w - 1]', '[769, 769, 2*w^4 - 3*w^3 - 6*w^2 + 4*w + 4]', '[773, 773, 3*w^5 - 5*w^4 - 11*w^3 + 10*w^2 + 8*w - 2]', '[773, 773, -w^5 + w^4 + 5*w^3 - w^2 - 3*w - 2]', '[773, 773, 3*w^5 - 7*w^4 - 9*w^3 + 18*w^2 + 5*w - 5]', '[821, 821, 3*w^5 - 6*w^4 - 10*w^3 + 15*w^2 + 7*w - 5]', '[821, 821, 2*w^4 - 4*w^3 - 6*w^2 + 7*w + 1]', '[823, 823, -3*w^5 + 6*w^4 + 10*w^3 - 16*w^2 - 4*w + 5]', '[823, 823, -2*w^5 + 5*w^4 + 5*w^3 - 13*w^2 + w + 5]', '[827, 827, -3*w^5 + 5*w^4 + 13*w^3 - 13*w^2 - 11*w + 3]', '[827, 827, 2*w^5 - 5*w^4 - 6*w^3 + 16*w^2 + w - 5]', '[829, 829, 2*w^5 - 5*w^4 - 5*w^3 + 14*w^2 - 2*w - 5]', '[841, 29, w^5 - w^4 - 4*w^3 - w^2 + 4*w + 6]', '[853, 853, -2*w^5 + 5*w^4 + 5*w^3 - 13*w^2 - 2*w + 3]', '[857, 857, 2*w^5 - 2*w^4 - 10*w^3 + 4*w^2 + 9*w - 1]', '[857, 857, w^5 - 2*w^4 - 3*w^3 + 5*w^2 - 5]', '[857, 857, -3*w^5 + 5*w^4 + 13*w^3 - 14*w^2 - 10*w + 4]', '[863, 863, w^4 - 2*w^3 - 2*w^2 + 2*w - 2]', '[877, 877, w^5 - 3*w^4 - 2*w^3 + 11*w^2 - 3*w - 7]', '[881, 881, -w^5 + 4*w^4 - 12*w^2 + 3*w + 7]', '[883, 883, -4*w^5 + 8*w^4 + 13*w^3 - 19*w^2 - 6*w + 4]', '[883, 883, -2*w^5 + 6*w^4 + 3*w^3 - 16*w^2 + 4*w + 6]', '[883, 883, -w^5 + 4*w^4 - 13*w^2 + 5*w + 5]', '[961, 31, -2*w^5 + 4*w^4 + 8*w^3 - 11*w^2 - 6*w + 1]', '[967, 967, -w^5 + 7*w^3 - 7*w]', '[967, 967, w^5 - 4*w^4 - w^3 + 14*w^2 - 4*w - 5]', '[971, 971, -w^5 + 2*w^4 + 4*w^3 - 7*w^2 - 3*w + 1]', '[997, 997, 3*w^5 - 5*w^4 - 11*w^3 + 11*w^2 + 7*w - 1]', '[997, 997, 2*w^4 - 3*w^3 - 8*w^2 + 4*w + 5]']}
-
nf_fields • Show schema
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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, -3, 4, 6, -4, -2, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 1134389, 'disc_rad': 1134389, 'disc_sign': 1, 'frobs': [[2, [[6, 1]]], [3, [[6, 1]]], [5, [[3, 2]]], [7, [[5, 1], [1, 1]]], [11, [[4, 1], [2, 1]]], [13, [[5, 1], [1, 1]]], [17, [[5, 1], [1, 1]]], [19, [[4, 1], [1, 2]]], [23, [[5, 1], [1, 1]]], [29, [[4, 1], [2, 1]]], [31, [[3, 1], [2, 1], [1, 1]]], [37, [[4, 1], [1, 2]]], [41, [[4, 1], [2, 1]]], [43, [[4, 1], [2, 1]]], [47, [[3, 1], [2, 1], [1, 1]]], [53, [[6, 1]]], [59, [[6, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [360], 'galois_label': '6T16', 'galt': 16, 'grd': 1065.0769925221368, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.6.1134389.1', 'local_algs': ['m1134389.1.1.0', 'm1134389.2.1.1', 'm1134389.1.3.0'], 'monogenic': 1, 'num_ram': 1, 'r2': 0, 'ramps': [1134389], 'rd': 10.2123808154, 'regulator': {'__RealLiteral__': 0, 'data': '7.81522393133', 'prec': 44}, 'res': {'sex': ['10897496,3893393,332362,-5448,-1178,-1,1'], 'sib': ['-1,8,34,-220,47,821,-589,-903,845,333,-435,-7,83,-11,-5,1', '-34637460409002321180,-84870786300977590734,-46807973197352135755,4965120451010359575,7522296809550255910,462459304071944129,-363358109185222383,-27140378036990062,8621039794700020,473691270522921,-108245021981099,-3525314038256,722739043130,11751990242,-2510117901,-17820206,4414866,11086,-3581,-2,1', '-37493324999739685170,42861771270126477697,-9667637081732584474,-4409706672805823953,1602637023847587854,156858489995047345,-79319743306486299,-2738334212131389,1846898662918030,29868504046659,-23572185360314,-243389211113,174627797223,1466270875,-754026743,-5443283,1820206,9920,-2202,-6,1', '1003250,-2417235,-829188,3319855,608882,-1499724,-236409,319583,43733,-36440,-4010,2291,177,-75,-3,1', '10897496,3893393,332362,-5448,-1178,-1,1', 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'units': ['\\( a \\)', '\\( a^{4} - 2 a^{3} - 3 a^{2} + 4 a + 1 \\)', '\\( a^{5} - 2 a^{4} - 4 a^{3} + 6 a^{2} + 3 a - 2 \\)', '\\( a - 1 \\)', '\\( a^{5} - 2 a^{4} - 3 a^{3} + 5 a^{2} + a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5']}