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hmf_forms • Show schema
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{'deg': 6, 'dimension': 2, 'disc': 592661, 'field_bad_primes': [592661], 'field_label': '6.6.592661.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '6.6.592661.1-53.1-a', 'label_nsuffix': 0, 'label_suffix': 'a', 'level_bad_primes': [53], 'level_ideal': '[53, 53, -w^4 + w^3 + 4*w^2 - 3*w - 4]', 'level_label': '53.1', 'level_norm': 53, 'parallel_weight': 2, 'short_label': '53.1-a', 'weight': '[2, 2, 2, 2, 2, 2]'}
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hmf_hecke • Show schema
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{'AL_eigenvalues': [['[53, 53, -w^4 + w^3 + 4*w^2 - 3*w - 4]', 1]], 'hecke_eigenvalues': ['e', '-e + 6', -2, '-e + 7', 'e + 1', '-e + 7', 'e - 5', '-e + 1', 'e + 2', -1, -4, '-2*e + 10', '2*e - 7', '-4*e + 8', '4*e - 10', '2*e - 4', '-e + 10', -8, '3*e - 10', '3*e - 16', '2*e + 4', '-6*e + 12', '-6*e + 12', '2*e - 14', '3*e + 1', '-4*e - 2', 18, '-7*e + 15', 'e + 12', 'e - 2', '-e + 1', '-5*e + 12', '-e + 5', '2*e - 12', '-2*e + 10', '5*e - 17', '-e - 6', 4, 'e + 18', '-9*e + 22', '3*e - 21', '-6*e + 8', '3*e + 5', '-4*e + 20', '-3*e + 5', '-2*e - 2', '2*e - 20', '-4*e + 10', '8*e - 20', '8*e - 28', '-6*e + 28', '7*e - 20', '-7*e + 16', 'e - 4', -24, '-7*e + 15', '-4*e + 22', '3*e - 17', '8*e - 12', '-4*e + 4', '-3*e + 6', '6*e - 4', '-e + 23', '4*e - 22', '-3*e + 4', '-2*e + 20', '7*e - 29', '-9*e + 12', '5*e - 3', '4*e - 18', '-7*e + 9', '4*e - 4', '8*e - 12', '4*e - 12', '-e + 15', '-4*e + 6', '9*e - 28', '-2*e + 22', '5*e + 3', '-9*e + 13', '-e + 16', '2*e - 12', '-4*e + 22', '-3*e - 6', '-6*e + 22', '-9*e + 36', '13*e - 25', '10*e - 28', '-2*e + 28', '9*e - 33', '7*e - 40', '-8*e + 6', '-6*e - 14', '-8*e + 14', '-5*e - 17', '6*e + 2', '-9*e + 43', '5*e - 27', '4*e - 34', '-4*e + 12', '2*e - 34', '-12*e + 22', 'e + 4', '14*e - 28', '2*e + 20', '11*e - 36', '2*e + 26', '-5*e + 13', '6*e - 34', '6*e - 4', '-3*e - 16', '-15*e + 37', '6*e - 40', '9*e - 15', '-6*e + 26', '4*e - 46', '7*e - 28', '4*e + 2', '9*e - 49', '3*e + 2', '-18*e + 44', '8*e - 42', '8*e + 4', '2*e + 34', '6*e - 10', '-7*e', '-16*e + 48', 28, '17*e - 50', '5*e - 10', '-6*e + 44', '-16*e + 40', '-5*e + 5', '-8*e + 20', '9*e - 33', '19*e - 58', '-2*e - 20', '-11*e + 19', '-8*e + 12', '-10*e + 32', '12*e - 52', '-e + 13', '9*e - 41', '5*e - 1', '-20*e + 40', '7*e - 15', '10*e - 6', '-12*e + 46', '-6*e - 10', '-5*e + 31', '-2*e - 32', '-14*e + 24', '24*e - 58', '-7*e + 31', '12*e - 8'], 'hecke_polynomial': 'x^2 - 5*x + 1', 'label': '6.6.592661.1-53.1-a'}
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hmf_fields • Show schema
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{'degree': 6, 'discriminant': 592661, 'ideals': ['[1, 1, 1]', '[7, 7, w^5 - 5*w^3 + 4*w]', '[13, 13, -w^3 + 3*w]', '[25, 5, w^4 - w^3 - 4*w^2 + 2*w + 2]', '[31, 31, -w^5 + 5*w^3 - 5*w + 1]', '[31, 31, -w^4 + w^3 + 5*w^2 - 3*w - 3]', '[37, 37, w^4 - 5*w^2 + w + 3]', '[43, 43, -2*w^5 + w^4 + 9*w^3 - 3*w^2 - 6*w]', '[47, 47, w^5 - w^4 - 4*w^3 + 4*w^2 - 2]', '[49, 7, -w^4 + 4*w^2 + w - 3]', '[49, 49, -2*w^5 + 2*w^4 + 9*w^3 - 7*w^2 - 5*w + 1]', '[53, 53, -w^4 + w^3 + 4*w^2 - 3*w - 4]', '[59, 59, w^4 - 5*w^2 - w + 5]', '[61, 61, w^3 - w^2 - 3*w]', '[64, 2, -2]', '[67, 67, -2*w^5 + w^4 + 9*w^3 - 3*w^2 - 7*w]', '[67, 67, 2*w^5 - w^4 - 10*w^3 + 4*w^2 + 9*w - 1]', '[73, 73, w^5 - w^4 - 4*w^3 + 5*w^2 + w - 3]', '[73, 73, 3*w^5 - 3*w^4 - 13*w^3 + 11*w^2 + 7*w - 3]', '[83, 83, -2*w^5 + 3*w^4 + 9*w^3 - 11*w^2 - 6*w + 2]', '[91, 91, 2*w^5 - w^4 - 10*w^3 + 3*w^2 + 9*w - 1]', '[97, 97, -2*w^4 + w^3 + 9*w^2 - 3*w - 4]', '[101, 101, -2*w^5 + 3*w^4 + 9*w^3 - 11*w^2 - 6*w + 4]', '[101, 101, w^5 - 2*w^4 - 4*w^3 + 9*w^2 + w - 4]', '[107, 107, -2*w^5 + w^4 + 10*w^3 - 4*w^2 - 9*w + 2]', '[107, 107, -w^5 + w^4 + 6*w^3 - 4*w^2 - 8*w + 2]', '[113, 113, w^5 - w^4 - 4*w^3 + 3*w^2 + 2*w + 2]', '[121, 11, w^5 - w^4 - 5*w^3 + 3*w^2 + 5*w - 2]', '[127, 127, 2*w^5 - 3*w^4 - 9*w^3 + 12*w^2 + 5*w - 4]', '[131, 131, w^5 - w^4 - 6*w^3 + 4*w^2 + 8*w - 1]', '[131, 131, 2*w^5 - 3*w^4 - 7*w^3 + 12*w^2 - w - 4]', '[149, 149, -2*w^5 + 2*w^4 + 8*w^3 - 8*w^2 - 3*w + 4]', '[151, 151, w^5 - 2*w^4 - 4*w^3 + 8*w^2 + 3*w - 3]', '[157, 157, w^5 - w^4 - 4*w^3 + 5*w^2 - w - 2]', '[163, 163, -2*w^5 + 2*w^4 + 9*w^3 - 6*w^2 - 6*w]', '[163, 163, w^5 - 2*w^4 - 4*w^3 + 8*w^2 - 4]', '[163, 163, -2*w^5 + w^4 + 9*w^3 - 4*w^2 - 7*w + 4]', '[169, 169, w^5 - 3*w^4 - 3*w^3 + 12*w^2 - w - 5]', '[173, 173, 2*w^4 - w^3 - 8*w^2 + 2*w + 4]', '[173, 173, -w^5 + 3*w^4 + 4*w^3 - 14*w^2 - w + 9]', '[175, 35, -w^5 + w^4 + 6*w^3 - 4*w^2 - 7*w + 2]', '[179, 179, -w^5 + 2*w^4 + 4*w^3 - 8*w^2 + 6]', '[191, 191, 2*w^4 - 2*w^3 - 9*w^2 + 6*w + 5]', '[193, 193, -w^5 + w^4 + 5*w^3 - 4*w^2 - 6*w + 2]', '[199, 199, -2*w^5 + 3*w^4 + 9*w^3 - 11*w^2 - 6*w + 3]', '[211, 211, -w^5 + 5*w^3 - 2*w - 2]', '[211, 211, -2*w^5 + w^4 + 9*w^3 - 4*w^2 - 5*w + 1]', '[211, 211, w^5 - 5*w^3 - 2*w^2 + 4*w + 4]', '[217, 217, 2*w^4 - w^3 - 9*w^2 + 4*w + 4]', '[217, 217, -w^5 + 2*w^4 + 5*w^3 - 7*w^2 - 5*w + 1]', '[223, 223, w^5 - 5*w^3 - w^2 + 7*w + 1]', '[227, 227, -w^5 + w^4 + 6*w^3 - 4*w^2 - 7*w + 1]', '[227, 227, w^3 - 2*w^2 - 4*w + 3]', '[229, 229, -w^5 + 6*w^3 - 7*w + 1]', '[233, 233, 3*w^5 - 2*w^4 - 15*w^3 + 8*w^2 + 13*w - 3]', '[233, 233, -w^5 + 4*w^3 + w^2 - 2*w - 3]', '[233, 233, -w^3 + w^2 + 4*w - 1]', '[257, 257, w^5 - 2*w^4 - 5*w^3 + 8*w^2 + 4*w - 2]', '[257, 257, w^5 + w^4 - 6*w^3 - 4*w^2 + 6*w + 1]', '[259, 259, -w^5 + w^4 + 4*w^3 - 2*w^2 - w - 3]', '[263, 263, 3*w^5 - 3*w^4 - 13*w^3 + 10*w^2 + 7*w - 1]', '[269, 269, w^5 - w^4 - 4*w^3 + 5*w^2 - 3]', '[283, 283, w^5 - w^4 - 5*w^3 + 5*w^2 + 5*w - 1]', '[293, 293, -2*w^4 + w^3 + 8*w^2 - 3*w - 4]', '[293, 293, 2*w^5 - 4*w^4 - 8*w^3 + 17*w^2 + 3*w - 8]', '[301, 301, -3*w^5 + 3*w^4 + 14*w^3 - 12*w^2 - 9*w + 5]', '[307, 307, w^5 - 7*w^3 + 11*w - 1]', '[311, 311, w^4 - 2*w^3 - 4*w^2 + 8*w + 1]', '[313, 313, -w^5 + 5*w^3 + w^2 - 3*w - 3]', '[317, 317, -w^5 + 4*w^3 - w^2 - w + 4]', '[317, 317, -3*w^5 + 4*w^4 + 13*w^3 - 16*w^2 - 6*w + 8]', '[325, 65, 2*w^4 - w^3 - 9*w^2 + 4*w + 5]', '[329, 329, w^5 - 4*w^3 + w + 2]', '[331, 331, w^5 - 7*w^3 + 10*w]', '[331, 331, 3*w^4 - 2*w^3 - 13*w^2 + 7*w + 7]', '[331, 331, w^5 - 4*w^3 + w^2 + w - 3]', '[343, 7, -4*w^5 + 3*w^4 + 19*w^3 - 10*w^2 - 15*w + 2]', '[343, 7, -w^5 + w^4 + 5*w^3 - 2*w^2 - 5*w - 3]', '[343, 343, w^5 - w^4 - 3*w^3 + 4*w^2 - 2*w - 3]', '[347, 347, 2*w^5 - 2*w^4 - 10*w^3 + 7*w^2 + 7*w]', '[349, 349, 3*w^5 - 2*w^4 - 14*w^3 + 7*w^2 + 9*w + 1]', '[349, 349, -w^5 + 2*w^4 + 3*w^3 - 9*w^2 + w + 7]', '[359, 359, 2*w^5 - 2*w^4 - 10*w^3 + 7*w^2 + 10*w - 4]', '[359, 359, w^5 - 7*w^3 + 11*w + 1]', '[371, 371, -3*w^5 + w^4 + 15*w^3 - 4*w^2 - 12*w]', '[373, 373, w^5 - 6*w^3 + 6*w - 2]', '[383, 383, -4*w^5 + 4*w^4 + 18*w^3 - 14*w^2 - 12*w + 3]', '[389, 389, w^5 + w^4 - 5*w^3 - 5*w^2 + 6*w + 4]', '[397, 397, 2*w^5 - w^4 - 9*w^3 + 5*w^2 + 6*w - 5]', '[397, 397, -2*w^5 + 3*w^4 + 8*w^3 - 10*w^2 - 3*w + 3]', '[403, 403, -w^4 + 4*w^2 - w + 1]', '[403, 403, 3*w^5 - 3*w^4 - 13*w^3 + 11*w^2 + 8*w - 3]', '[409, 409, -w^5 + w^4 + 5*w^3 - 3*w^2 - 6*w - 3]', '[413, 413, w^5 - 2*w^4 - 6*w^3 + 9*w^2 + 8*w - 4]', '[421, 421, -3*w^5 + w^4 + 14*w^3 - 3*w^2 - 10*w - 2]', '[427, 427, -2*w^5 - w^4 + 10*w^3 + 4*w^2 - 6*w - 3]', '[431, 431, 2*w^4 - w^3 - 10*w^2 + 3*w + 7]', '[433, 433, -3*w^5 + 2*w^4 + 14*w^3 - 6*w^2 - 11*w + 2]', '[433, 433, 2*w^5 - 3*w^4 - 10*w^3 + 11*w^2 + 10*w - 2]', '[439, 439, -2*w^5 + 2*w^4 + 10*w^3 - 8*w^2 - 7*w + 3]', '[439, 439, 3*w^5 - 4*w^4 - 13*w^3 + 16*w^2 + 8*w - 5]', '[439, 439, -w^5 + w^4 + 5*w^3 - 6*w^2 - 4*w + 6]', '[448, 14, -2*w^5 + 10*w^3 - 8*w]', '[461, 461, w^5 + w^4 - 5*w^3 - 4*w^2 + 6*w + 1]', '[467, 467, w^5 + w^4 - 4*w^3 - 6*w^2 + w + 5]', '[469, 469, w^2 - 3*w - 3]', '[469, 469, -2*w^5 + w^4 + 9*w^3 - 5*w^2 - 5*w + 2]', '[479, 479, w^5 - w^4 - 5*w^3 + 3*w^2 + 2*w + 1]', '[481, 481, 2*w^5 - 2*w^4 - 9*w^3 + 6*w^2 + 6*w - 1]', '[487, 487, 3*w^5 - 3*w^4 - 13*w^3 + 12*w^2 + 7*w - 3]', '[499, 499, 2*w^5 - 2*w^4 - 11*w^3 + 7*w^2 + 12*w - 1]', '[503, 503, w^5 - 2*w^4 - 5*w^3 + 9*w^2 + 5*w - 3]', '[509, 509, 3*w^5 - 3*w^4 - 15*w^3 + 11*w^2 + 13*w - 2]', '[509, 509, 2*w^5 - 2*w^4 - 10*w^3 + 7*w^2 + 11*w - 2]', '[511, 511, -2*w^5 + 2*w^4 + 9*w^3 - 6*w^2 - 6*w + 2]', '[511, 511, -2*w^5 + 2*w^4 + 8*w^3 - 8*w^2 - w + 5]', '[521, 521, 3*w^5 - 3*w^4 - 14*w^3 + 10*w^2 + 11*w - 3]', '[521, 521, -w^5 + 2*w^4 + 5*w^3 - 6*w^2 - 5*w]', '[523, 523, -2*w^5 + 2*w^4 + 10*w^3 - 7*w^2 - 11*w + 1]', '[523, 523, -2*w^5 + w^4 + 10*w^3 - 3*w^2 - 11*w]', '[523, 523, -2*w^5 + w^4 + 10*w^3 - 4*w^2 - 10*w + 4]', '[547, 547, -2*w^4 + 2*w^3 + 10*w^2 - 6*w - 7]', '[557, 557, 3*w^5 - 3*w^4 - 14*w^3 + 10*w^2 + 9*w - 1]', '[559, 559, -3*w^5 + 4*w^4 + 13*w^3 - 16*w^2 - 7*w + 5]', '[569, 569, 3*w^5 - 4*w^4 - 13*w^3 + 14*w^2 + 8*w - 2]', '[571, 571, w^4 + w^3 - 5*w^2 - 2*w + 5]', '[577, 577, 3*w^4 - 2*w^3 - 13*w^2 + 7*w + 6]', '[577, 577, w^5 + w^4 - 5*w^3 - 4*w^2 + 4*w + 4]', '[581, 581, -w^5 - 2*w^4 + 6*w^3 + 10*w^2 - 7*w - 6]', '[587, 587, 2*w^5 - w^4 - 10*w^3 + 5*w^2 + 9*w - 4]', '[599, 599, -2*w^5 + 3*w^4 + 10*w^3 - 12*w^2 - 9*w + 3]', '[599, 599, w^5 + 2*w^4 - 6*w^3 - 9*w^2 + 8*w + 6]', '[601, 601, -2*w^5 + 3*w^4 + 8*w^3 - 11*w^2 - 5*w + 4]', '[607, 607, w^5 - 2*w^4 - 5*w^3 + 8*w^2 + 3*w - 1]', '[611, 611, -2*w^4 + 9*w^2 - w - 5]', '[613, 613, w^5 - 2*w^4 - 5*w^3 + 10*w^2 + 5*w - 7]', '[613, 613, -w^5 + 2*w^4 + 3*w^3 - 7*w^2]', '[617, 617, -3*w^5 + 3*w^4 + 12*w^3 - 11*w^2 - 5*w + 4]', '[625, 5, -2*w^5 + 2*w^4 + 9*w^3 - 6*w^2 - 5*w + 1]', '[625, 25, w^5 - w^4 - 5*w^3 + 3*w^2 + 7*w - 1]', '[631, 631, -2*w^5 + w^4 + 9*w^3 - 3*w^2 - 8*w + 1]', '[637, 91, -w^5 + 6*w^3 - 6*w + 1]', '[637, 637, w^4 + w^3 - 6*w^2 - 2*w + 5]', '[641, 641, w^5 - 5*w^3 - w^2 + 5*w + 5]', '[659, 659, -w^5 + 3*w^4 + 5*w^3 - 12*w^2 - 5*w + 3]', '[661, 661, 4*w^5 - 3*w^4 - 19*w^3 + 11*w^2 + 14*w - 2]', '[677, 677, -2*w^5 + 2*w^4 + 9*w^3 - 7*w^2 - 6*w - 2]', '[679, 679, -2*w^2 + 2*w + 5]', '[683, 683, -w^5 + w^4 + 4*w^3 - 5*w^2 + w + 4]', '[683, 683, -2*w^4 + w^3 + 9*w^2 - 5*w - 4]', '[689, 689, -2*w^5 + 2*w^4 + 11*w^3 - 7*w^2 - 11*w]', '[701, 701, -2*w^5 + 3*w^4 + 10*w^3 - 11*w^2 - 10*w + 4]', '[701, 701, -3*w^5 + w^4 + 15*w^3 - 3*w^2 - 14*w + 1]', '[707, 707, -w^5 + 3*w^4 + 4*w^3 - 11*w^2 - 3*w + 4]', '[707, 707, w^5 - 2*w^4 - 4*w^3 + 10*w^2 + w - 6]', '[709, 709, 2*w^4 - 2*w^3 - 9*w^2 + 5*w + 7]', '[719, 719, w^4 - 2*w^3 - 4*w^2 + 7*w + 4]', '[719, 719, w^3 + 2*w^2 - 4*w - 5]', '[727, 727, 2*w^5 - 3*w^4 - 8*w^3 + 11*w^2 + 4*w - 1]', '[729, 3, -3]', '[743, 743, 3*w^5 - 2*w^4 - 15*w^3 + 6*w^2 + 12*w]', '[743, 743, -w^4 + w^3 + 6*w^2 - 4*w - 3]', '[749, 749, w^5 - w^4 - 4*w^3 + 4*w^2 + w - 5]', '[749, 749, -w^5 - w^4 + 5*w^3 + 6*w^2 - 3*w - 6]', '[767, 767, 2*w^5 - 11*w^3 + 12*w - 1]', '[769, 769, 2*w^5 - 3*w^4 - 8*w^3 + 12*w^2 + 3*w - 2]', '[769, 769, -3*w^5 + 4*w^4 + 13*w^3 - 15*w^2 - 8*w + 3]', '[775, 155, -w^5 + 3*w^4 + 4*w^3 - 11*w^2 - 2*w + 3]', '[775, 155, -w^5 + w^4 + 4*w^3 - 3*w^2 - 3*w - 2]', '[787, 787, 2*w^3 - w^2 - 5*w]', '[791, 791, 2*w^5 - 10*w^3 - w^2 + 10*w + 1]', '[793, 793, w^4 + w^3 - 4*w^2 - 2*w - 1]', '[797, 797, 3*w^5 - w^4 - 15*w^3 + 4*w^2 + 12*w - 1]', '[827, 827, 3*w^4 - w^3 - 13*w^2 + 2*w + 8]', '[832, 26, 2*w^3 - 6*w]', '[839, 839, -2*w^5 + w^4 + 10*w^3 - 4*w^2 - 11*w + 2]', '[847, 77, -2*w^5 - w^4 + 9*w^3 + 6*w^2 - 6*w - 5]', '[853, 853, -2*w^4 + w^3 + 10*w^2 - 4*w - 6]', '[853, 853, -w^5 + w^4 + 6*w^3 - 3*w^2 - 7*w - 3]', '[853, 853, -2*w^5 + 3*w^4 + 9*w^3 - 11*w^2 - 8*w + 3]', '[857, 857, w^5 - 2*w^4 - 3*w^3 + 10*w^2 - 2*w - 7]', '[859, 859, -4*w^5 + 3*w^4 + 18*w^3 - 10*w^2 - 12*w]', '[863, 863, w^5 - 3*w^4 - 3*w^3 + 14*w^2 - 2*w - 9]', '[871, 871, -w^5 + 6*w^3 + 3*w^2 - 7*w - 4]', '[871, 871, -w^5 + 3*w^4 + 5*w^3 - 11*w^2 - 2*w + 3]', '[877, 877, -w^5 + 7*w^3 - 12*w - 1]', '[881, 881, 2*w^4 - 2*w^3 - 9*w^2 + 8*w + 6]', '[881, 881, 3*w^5 - w^4 - 15*w^3 + 4*w^2 + 12*w - 2]', '[887, 887, -w^5 - w^4 + 5*w^3 + 5*w^2 - 2*w - 4]', '[889, 889, -w^5 + 3*w^4 + 3*w^3 - 12*w^2 + 6]', '[917, 917, -3*w^5 + 3*w^4 + 13*w^3 - 10*w^2 - 6*w + 2]', '[917, 917, 2*w^5 + w^4 - 10*w^3 - 6*w^2 + 7*w + 6]', '[919, 919, 4*w^5 - 4*w^4 - 18*w^3 + 14*w^2 + 11*w - 3]', '[919, 919, -w^5 + 4*w^3 - w - 3]', '[925, 185, 2*w^5 - 2*w^4 - 8*w^3 + 7*w^2 + 2*w - 4]', '[929, 929, -w^5 + 2*w^4 + 4*w^3 - 10*w^2 + 5]', '[937, 937, 3*w^5 - 4*w^4 - 12*w^3 + 15*w^2 + 5*w - 3]', '[947, 947, 3*w^5 - 3*w^4 - 13*w^3 + 10*w^2 + 8*w - 4]', '[949, 949, -w^5 + 4*w^4 + 2*w^3 - 17*w^2 + 5*w + 7]', '[949, 949, -2*w^5 + 2*w^4 + 8*w^3 - 8*w^2 - 5*w + 2]', '[953, 953, 2*w^5 - 9*w^3 - w^2 + 6*w + 4]', '[953, 953, -3*w^5 + 3*w^4 + 12*w^3 - 11*w^2 - 5*w + 2]', '[961, 31, -w^5 + 5*w^3 - 7*w]', '[961, 961, 3*w^5 - 2*w^4 - 15*w^3 + 6*w^2 + 14*w - 1]', '[961, 961, -3*w^5 + 3*w^4 + 13*w^3 - 10*w^2 - 7*w + 2]', '[967, 967, -2*w^5 + 9*w^3 + 2*w^2 - 7*w - 4]', '[977, 977, 3*w^5 - w^4 - 14*w^3 + 3*w^2 + 11*w - 1]', '[977, 977, w^4 - w^3 - 6*w^2 + 3*w + 3]', '[997, 997, 3*w^5 - 2*w^4 - 15*w^3 + 7*w^2 + 13*w - 4]', '[1009, 1009, -w^5 + 5*w^3 + 3*w^2 - 5*w - 6]', '[1009, 1009, -w^5 + w^4 + 3*w^3 - 5*w^2 + 3*w + 5]', '[1009, 1009, 2*w^5 - 2*w^4 - 11*w^3 + 8*w^2 + 12*w - 4]', '[1009, 1009, -w^5 - 2*w^4 + 5*w^3 + 9*w^2 - 5*w - 4]', '[1009, 1009, -2*w^5 + 4*w^4 + 8*w^3 - 15*w^2 - 4*w + 3]', '[1009, 1009, 2*w^5 - w^4 - 11*w^3 + 4*w^2 + 10*w - 1]', '[1013, 1013, -w^5 + w^4 + 4*w^3 - 5*w^2 - 2*w + 6]', '[1021, 1021, -2*w^5 + 9*w^3 + w^2 - 7*w]', '[1043, 1043, -3*w^5 + 2*w^4 + 14*w^3 - 7*w^2 - 8*w + 3]', '[1049, 1049, -3*w^5 + w^4 + 15*w^3 - 3*w^2 - 12*w + 1]', '[1051, 1051, w^5 - 2*w^4 - 6*w^3 + 7*w^2 + 8*w - 2]', '[1057, 1057, w^5 + 2*w^4 - 4*w^3 - 10*w^2 + 2*w + 5]', '[1069, 1069, -3*w^5 + 15*w^3 + w^2 - 13*w - 1]', '[1075, 215, w^3 + w^2 - 3*w - 5]', '[1079, 1079, w^5 - 3*w^4 - 2*w^3 + 12*w^2 - 7*w - 6]', '[1091, 1091, -w^5 + w^4 + 3*w^3 - 2*w^2 + 3*w - 1]', '[1091, 1091, -w^3 - 2*w^2 + 5*w + 4]', '[1093, 1093, w^5 - w^4 - 4*w^3 + 6*w^2 - 4]', '[1097, 1097, 3*w^5 - 4*w^4 - 12*w^3 + 16*w^2 + 5*w - 8]', '[1097, 1097, 3*w^4 - 2*w^3 - 13*w^2 + 6*w + 8]', '[1099, 1099, -3*w^5 + 2*w^4 + 12*w^3 - 4*w^2 - 6*w]', '[1103, 1103, w^5 - 2*w^4 - 5*w^3 + 9*w^2 + 4*w - 2]', '[1109, 1109, 2*w^5 - 4*w^4 - 8*w^3 + 16*w^2 + 4*w - 5]', '[1117, 1117, -w^3 + w^2 + 2*w - 4]', '[1123, 1123, -3*w^4 + w^3 + 12*w^2 - 2*w - 5]', '[1123, 1123, w^5 + w^4 - 6*w^3 - 4*w^2 + 9*w]', '[1129, 1129, -3*w^5 + 3*w^4 + 13*w^3 - 11*w^2 - 5*w + 2]', '[1141, 1141, 3*w^5 - w^4 - 15*w^3 + 4*w^2 + 10*w - 4]', '[1141, 1141, w^3 + 2*w^2 - 5*w - 3]', '[1141, 1141, 3*w^5 - 2*w^4 - 13*w^3 + 7*w^2 + 8*w - 2]', '[1147, 1147, -2*w^5 + 3*w^4 + 9*w^3 - 13*w^2 - 6*w + 5]', '[1147, 1147, w^3 + w^2 - 2*w - 4]', '[1151, 1151, 4*w^5 - 3*w^4 - 18*w^3 + 10*w^2 + 12*w - 2]', '[1163, 1163, w^5 + w^4 - 7*w^3 - 4*w^2 + 10*w + 1]', '[1175, 235, -2*w^5 + 11*w^3 - 11*w + 1]', '[1181, 1181, -3*w^5 + 2*w^4 + 14*w^3 - 8*w^2 - 10*w + 1]', '[1183, 1183, -w^4 + w^3 + 2*w^2 - 3*w + 3]', '[1187, 1187, -w^5 + 2*w^4 + 6*w^3 - 9*w^2 - 7*w + 5]', '[1187, 1187, 3*w^5 - 4*w^4 - 14*w^3 + 16*w^2 + 11*w - 5]', '[1187, 1187, 3*w^4 - 2*w^3 - 13*w^2 + 5*w + 8]', '[1187, 1187, -2*w^5 + 2*w^4 + 9*w^3 - 6*w^2 - 4*w - 2]', '[1193, 1193, -w^5 - w^4 + 6*w^3 + 3*w^2 - 8*w + 1]', '[1211, 1211, -2*w^4 - w^3 + 10*w^2 + 3*w - 3]', '[1211, 1211, -2*w^4 - w^3 + 11*w^2 + 3*w - 7]', '[1223, 1223, 2*w^5 - 3*w^4 - 8*w^3 + 12*w^2 + w - 6]', '[1225, 35, 2*w^5 - 9*w^3 + 8*w]', '[1225, 245, -w^4 + 2*w^3 + 3*w^2 - 7*w - 1]', '[1229, 1229, 2*w^5 - 2*w^4 - 8*w^3 + 9*w^2 + 4*w - 2]', '[1229, 1229, -3*w^5 + 3*w^4 + 12*w^3 - 12*w^2 - 3*w + 5]', '[1231, 1231, -3*w^5 + 3*w^4 + 13*w^3 - 12*w^2 - 6*w + 2]', '[1253, 1253, 5*w^5 - 2*w^4 - 23*w^3 + 7*w^2 + 16*w - 2]', '[1259, 1259, 4*w^5 - 4*w^4 - 17*w^3 + 14*w^2 + 9*w - 4]', '[1261, 1261, 2*w^5 - w^4 - 9*w^3 + w^2 + 6*w + 5]', '[1277, 1277, -w^5 - w^4 + 4*w^3 + 6*w^2 - w - 6]', '[1291, 1291, -w^5 + 3*w^4 + 4*w^3 - 13*w^2 - 2*w + 4]', '[1291, 1291, w^5 - 2*w^4 - 4*w^3 + 10*w^2 + w - 5]', '[1291, 1291, -w^4 - w^3 + 4*w^2 + 5*w - 3]', '[1291, 1291, -w^4 - w^3 + 6*w^2 + 3*w - 7]', '[1303, 1303, -3*w^4 + 2*w^3 + 12*w^2 - 6*w - 5]', '[1307, 1307, -2*w^4 + w^3 + 9*w^2 - w - 7]', '[1313, 1313, w^5 - 3*w^4 - 4*w^3 + 12*w^2 - w - 6]', '[1313, 1313, -3*w^5 + 3*w^4 + 12*w^3 - 11*w^2 - 5*w + 3]', '[1319, 1319, w^5 - 2*w^4 - 4*w^3 + 8*w^2 + w - 7]', '[1319, 1319, w^5 - 3*w^4 - 3*w^3 + 12*w^2 - 3*w - 7]', '[1325, 265, -w^5 - w^4 + 7*w^3 + 4*w^2 - 7*w - 5]', '[1333, 1333, -2*w^5 + 2*w^4 + 11*w^3 - 8*w^2 - 12*w + 3]', '[1333, 1333, w^5 + w^4 - 6*w^3 - 3*w^2 + 8*w]', '[1337, 1337, -3*w^5 + 3*w^4 + 13*w^3 - 12*w^2 - 6*w + 3]', '[1351, 1351, -w^5 - w^4 + 4*w^3 + 6*w^2 - 2*w - 5]', '[1361, 1361, -3*w^5 + 2*w^4 + 14*w^3 - 7*w^2 - 8*w]', '[1361, 1361, 3*w^5 - w^4 - 16*w^3 + 4*w^2 + 16*w - 3]', '[1367, 1367, -2*w^5 + 3*w^4 + 7*w^3 - 12*w^2 - w + 6]', '[1369, 37, -2*w^5 + 4*w^4 + 9*w^3 - 15*w^2 - 6*w + 4]', '[1369, 1369, 3*w^5 - 3*w^4 - 13*w^3 + 13*w^2 + 6*w - 8]', '[1381, 1381, -w^5 + 3*w^3 + 3*w - 1]', '[1391, 1391, -w^5 + 5*w^3 + 2*w^2 - 3*w - 5]', '[1391, 1391, -w^5 + w^4 + 4*w^3 - 3*w^2 - 2*w - 4]', '[1393, 1393, -2*w^4 + w^3 + 10*w^2 - 3*w - 6]', '[1399, 1399, -4*w^5 + 4*w^4 + 17*w^3 - 12*w^2 - 8*w - 1]', '[1409, 1409, -2*w^5 + 3*w^4 + 8*w^3 - 12*w^2 - 2*w + 8]', '[1423, 1423, -w^5 - w^4 + 5*w^3 + 5*w^2 - 4*w - 6]', '[1423, 1423, -2*w^5 + 3*w^4 + 9*w^3 - 12*w^2 - 8*w + 4]', '[1423, 1423, 3*w^5 - 2*w^4 - 13*w^3 + 7*w^2 + 9*w - 2]', '[1427, 1427, -4*w^5 + 5*w^4 + 18*w^3 - 18*w^2 - 11*w + 2]', '[1427, 1427, 3*w^5 - 3*w^4 - 14*w^3 + 12*w^2 + 11*w - 3]', '[1427, 1427, -w^5 - 2*w^4 + 6*w^3 + 9*w^2 - 9*w - 5]', '[1427, 1427, w^5 - 2*w^4 - 5*w^3 + 6*w^2 + 5*w + 2]', '[1429, 1429, -3*w^5 + 2*w^4 + 14*w^3 - 7*w^2 - 12*w + 3]', '[1433, 1433, -w^5 + 7*w^3 + w^2 - 12*w - 1]', '[1433, 1433, 4*w^5 - 3*w^4 - 18*w^3 + 10*w^2 + 12*w - 1]', '[1439, 1439, w^5 - w^4 - 5*w^3 + 5*w^2 + 2*w - 5]', '[1439, 1439, -w^4 - w^3 + 3*w^2 + 4*w - 2]', '[1439, 1439, 2*w^5 - 3*w^4 - 9*w^3 + 10*w^2 + 7*w - 2]', '[1447, 1447, 2*w^5 - w^4 - 11*w^3 + 3*w^2 + 11*w - 1]', '[1453, 1453, -2*w^4 + 2*w^3 + 9*w^2 - 5*w - 6]', '[1457, 1457, -w^4 + 5*w^2 + 2*w - 6]', '[1457, 1457, 2*w^5 - w^4 - 9*w^3 + 2*w^2 + 4*w + 3]', '[1459, 1459, w^5 - 2*w^4 - 2*w^3 + 8*w^2 - 4*w - 4]', '[1469, 1469, w^4 - 3*w^3 - 5*w^2 + 10*w + 2]', '[1471, 1471, -w^5 + 2*w^4 + 6*w^3 - 8*w^2 - 7*w + 1]', '[1475, 295, -2*w^5 + 3*w^4 + 7*w^3 - 11*w^2 + 6]', '[1477, 1477, w^5 - 2*w^3 - 3*w^2 - 3*w + 1]', '[1477, 1477, 2*w^5 - w^4 - 8*w^3 + 2*w^2 + 2*w - 2]', '[1477, 1477, w^5 - 2*w^4 - 6*w^3 + 7*w^2 + 9*w - 1]', '[1487, 1487, w^5 - 2*w^4 - 5*w^3 + 8*w^2 + 7*w - 4]', '[1489, 1489, 2*w^5 - 3*w^4 - 9*w^3 + 10*w^2 + 7*w - 1]', '[1493, 1493, -w^5 + 2*w^4 + 5*w^3 - 8*w^2 - 7*w + 3]', '[1519, 217, -3*w^5 + w^4 + 14*w^3 - 4*w^2 - 9*w + 1]', '[1519, 217, -2*w^5 + 2*w^4 + 8*w^3 - 9*w^2 - 2*w + 5]', '[1519, 1519, -3*w^5 + 4*w^4 + 14*w^3 - 17*w^2 - 10*w + 7]', '[1519, 1519, -w^5 + w^4 + 4*w^3 - 4*w^2 - w - 2]', '[1523, 1523, -2*w^5 + 9*w^3 + 2*w^2 - 4*w - 6]', '[1523, 1523, w^4 - w^3 - 2*w^2 + 2*w - 3]', '[1525, 305, -2*w^5 + 11*w^3 - w^2 - 7*w - 1]', '[1531, 1531, -3*w^5 + w^4 + 15*w^3 - 3*w^2 - 15*w]', '[1543, 1543, -2*w^5 + 11*w^3 + 2*w^2 - 12*w - 2]', '[1543, 1543, -w^5 - 2*w^4 + 6*w^3 + 9*w^2 - 7*w - 7]', '[1549, 1549, 4*w^5 - 4*w^4 - 18*w^3 + 16*w^2 + 11*w - 6]', '[1549, 1549, -w^5 - w^4 + 5*w^3 + 4*w^2 - 3*w - 4]', '[1549, 1549, -4*w^5 + 3*w^4 + 18*w^3 - 10*w^2 - 11*w + 3]', '[1559, 1559, -3*w^5 + 3*w^4 + 14*w^3 - 10*w^2 - 10*w + 3]', '[1559, 1559, w^2 - 2*w - 4]', '[1561, 1561, 2*w^5 - w^4 - 8*w^3 + w^2 + 6*w + 3]', '[1567, 1567, -3*w^5 + 3*w^4 + 13*w^3 - 10*w^2 - 6*w + 3]', '[1567, 1567, 2*w^5 - 10*w^3 - w^2 + 10*w]', '[1571, 1571, 3*w^5 - 3*w^4 - 13*w^3 + 10*w^2 + 7*w - 4]', '[1573, 143, w^4 + w^3 - 2*w^2 - 3*w - 3]', '[1579, 1579, -3*w^5 + 3*w^4 + 13*w^3 - 11*w^2 - 9*w + 2]', '[1583, 1583, 3*w^5 - w^4 - 16*w^3 + 3*w^2 + 16*w]', '[1583, 1583, -3*w^5 + 4*w^4 + 13*w^3 - 14*w^2 - 7*w + 4]', '[1589, 1589, w^5 + w^4 - 6*w^3 - 5*w^2 + 5*w + 5]', '[1589, 1589, -w^5 - 2*w^4 + 4*w^3 + 8*w^2 + w - 5]', '[1591, 1591, -w^5 + w^4 + 6*w^3 - 5*w^2 - 8*w + 1]', '[1597, 1597, -3*w^5 + w^4 + 15*w^3 - 2*w^2 - 13*w]', '[1597, 1597, -3*w^5 + 2*w^4 + 14*w^3 - 8*w^2 - 9*w + 2]', '[1600, 10, -2*w^4 + 2*w^3 + 8*w^2 - 4*w - 4]', '[1601, 1601, -4*w^4 + 3*w^3 + 18*w^2 - 9*w - 12]', '[1603, 1603, w^5 - 4*w^3 + 2*w - 3]', '[1609, 1609, 2*w^4 - 9*w^2 + 2*w + 5]', '[1613, 1613, -w^5 + 2*w^4 + 4*w^3 - 8*w^2 + w + 4]', '[1619, 1619, -2*w^5 + 2*w^4 + 11*w^3 - 7*w^2 - 13*w + 2]', '[1627, 1627, -3*w^5 + 4*w^4 + 13*w^3 - 15*w^2 - 9*w + 5]', '[1627, 1627, 3*w^5 - 3*w^4 - 14*w^3 + 12*w^2 + 8*w - 5]', '[1631, 1631, -w^5 + 2*w^4 + 3*w^3 - 8*w^2 + w + 8]', '[1631, 1631, -w^5 + w^4 + 5*w^3 - 4*w^2 - 7*w + 1]', '[1631, 1631, 2*w^5 + w^4 - 9*w^3 - 5*w^2 + 4*w + 4]', '[1643, 1643, 4*w^5 - 3*w^4 - 18*w^3 + 11*w^2 + 13*w - 4]', '[1643, 1643, 2*w^5 - 11*w^3 - 4*w^2 + 12*w + 8]', '[1651, 1651, -2*w^5 + 4*w^4 + 7*w^3 - 15*w^2 + w + 6]', '[1657, 1657, 2*w^5 - 2*w^4 - 10*w^3 + 8*w^2 + 9*w]', '[1663, 1663, -w^5 + 4*w^4 + 4*w^3 - 17*w^2 - w + 8]', '[1663, 1663, w^4 - w^3 - 5*w^2 + w + 6]', '[1667, 1667, w^5 - 6*w^3 - w^2 + 8*w - 1]', '[1669, 1669, -3*w^5 + 5*w^4 + 13*w^3 - 19*w^2 - 8*w + 6]', '[1675, 335, -w^5 + 2*w^4 + 5*w^3 - 5*w^2 - 7*w]', '[1675, 335, w^3 + w - 2]', '[1693, 1693, -3*w^5 + 3*w^4 + 13*w^3 - 10*w^2 - 7*w + 3]', '[1697, 1697, 2*w^4 - w^3 - 9*w^2 + w + 8]', '[1697, 1697, 2*w^5 - 11*w^3 - 2*w^2 + 13*w + 2]', '[1703, 1703, w^5 - w^4 - 5*w^3 + 3*w^2 + 5*w + 4]', '[1703, 1703, 3*w^5 - w^4 - 15*w^3 + 3*w^2 + 12*w - 2]', '[1709, 1709, 2*w^5 - 10*w^3 - w^2 + 10*w - 1]', '[1709, 1709, -2*w^5 + 10*w^3 - w^2 - 8*w + 2]', '[1733, 1733, w^5 - 3*w^4 - 2*w^3 + 13*w^2 - 4*w - 6]', '[1739, 1739, 2*w^5 - 3*w^4 - 10*w^3 + 10*w^2 + 9*w - 1]', '[1741, 1741, 2*w^5 - 4*w^4 - 9*w^3 + 15*w^2 + 6*w - 5]', '[1747, 1747, w^5 - 4*w^4 - 3*w^3 + 16*w^2 - 2*w - 7]', '[1753, 1753, 4*w^5 - 4*w^4 - 17*w^3 + 17*w^2 + 9*w - 7]', '[1759, 1759, 2*w^5 - w^4 - 11*w^3 + 4*w^2 + 13*w]', '[1777, 1777, -3*w^5 + w^4 + 15*w^3 - 2*w^2 - 14*w]', '[1777, 1777, w^5 - 4*w^3 + w^2 + 2*w - 4]', '[1799, 1799, 2*w^4 + w^3 - 8*w^2 - 6*w + 3]', '[1799, 1799, w^5 + 2*w^4 - 6*w^3 - 9*w^2 + 5*w + 5]', '[1801, 1801, w^4 + w^3 - 6*w^2 - 2*w + 7]', '[1811, 1811, -5*w^5 + 4*w^4 + 23*w^3 - 15*w^2 - 14*w + 4]', '[1811, 1811, 2*w^5 - 3*w^4 - 9*w^3 + 12*w^2 + 7*w - 2]', '[1811, 1811, 4*w^5 - 6*w^4 - 16*w^3 + 22*w^2 + 5*w - 8]', '[1813, 259, w^5 - w^4 - 4*w^3 + 4*w^2 + 2*w + 2]', '[1813, 1813, -w^5 + w^4 + 6*w^3 - 3*w^2 - 9*w + 1]', '[1823, 1823, w^5 - w^4 - 4*w^3 + 3*w^2 + w + 4]', '[1823, 1823, -2*w^5 + 12*w^3 + w^2 - 15*w]', '[1825, 365, -w^5 + 3*w^3 + 2*w^2 - w - 3]', '[1825, 365, -2*w^3 + 8*w - 1]', '[1829, 1829, -2*w^5 + 3*w^4 + 11*w^3 - 13*w^2 - 14*w + 9]', '[1829, 1829, 2*w^5 - 4*w^4 - 7*w^3 + 17*w^2 - 2*w - 10]', '[1831, 1831, -3*w^5 + 5*w^4 + 13*w^3 - 19*w^2 - 8*w + 7]', '[1841, 1841, -w^5 + w^4 + 3*w^3 - 5*w^2 + 4*w + 4]', '[1847, 1847, 4*w^5 - 2*w^4 - 20*w^3 + 7*w^2 + 19*w - 5]', '[1849, 1849, w^5 - 5*w^3 - w^2 + 2*w + 3]', '[1861, 1861, -w^5 + 4*w^4 + 3*w^3 - 16*w^2 + w + 7]', '[1867, 1867, 3*w^5 - 2*w^4 - 13*w^3 + 6*w^2 + 9*w]', '[1867, 1867, -w^5 + 6*w^3 - w^2 - 9*w + 1]', '[1871, 1871, -2*w^5 + 3*w^4 + 10*w^3 - 11*w^2 - 10*w + 5]', '[1873, 1873, 4*w^5 - 4*w^4 - 16*w^3 + 15*w^2 + 7*w - 6]', '[1877, 1877, -w^5 + 2*w^4 + 3*w^3 - 7*w^2 + 2*w + 4]', '[1879, 1879, 3*w^5 - 3*w^4 - 14*w^3 + 11*w^2 + 10*w + 2]', '[1883, 1883, -3*w^5 + 2*w^4 + 13*w^3 - 5*w^2 - 8*w + 1]', '[1889, 1889, 2*w^5 - 4*w^4 - 7*w^3 + 16*w^2 + w - 7]', '[1889, 1889, -2*w^4 + w^3 + 10*w^2 - 4*w - 5]', '[1891, 1891, 3*w^5 - 2*w^4 - 14*w^3 + 5*w^2 + 10*w + 1]', '[1891, 1891, 2*w^5 - 8*w^3 - 2*w^2 + 3*w + 3]', '[1901, 1901, 2*w^5 - 4*w^4 - 8*w^3 + 17*w^2 + 6*w - 10]', '[1901, 1901, 2*w^5 - 3*w^4 - 11*w^3 + 13*w^2 + 13*w - 7]', '[1913, 1913, 2*w^5 - 2*w^4 - 10*w^3 + 8*w^2 + 11*w - 4]', '[1913, 1913, w^5 + 2*w^4 - 5*w^3 - 10*w^2 + 5*w + 6]', '[1913, 1913, -2*w^5 + 5*w^4 + 7*w^3 - 20*w^2 + 11]', '[1913, 1913, -3*w^5 + 4*w^4 + 12*w^3 - 17*w^2 - 4*w + 12]', '[1931, 1931, w^4 - w^3 - 3*w^2 + 2*w - 3]', '[1931, 1931, -2*w^5 + w^4 + 9*w^3 - w^2 - 6*w - 4]', '[1931, 1931, -w^5 + w^4 + 6*w^3 - 3*w^2 - 8*w + 4]', '[1933, 1933, 4*w^5 - 4*w^4 - 16*w^3 + 15*w^2 + 6*w - 6]', '[1933, 1933, 2*w^5 - 4*w^4 - 9*w^3 + 15*w^2 + 7*w - 6]', '[1937, 1937, -2*w^5 + 3*w^4 + 8*w^3 - 13*w^2 - 4*w + 4]', '[1951, 1951, -2*w^5 + 3*w^4 + 8*w^3 - 11*w^2 - 5*w + 3]', '[1961, 1961, -w^5 - w^4 + 4*w^3 + 8*w^2 - 5*w - 8]', '[1963, 1963, -2*w^5 + w^4 + 8*w^3 - 5*w^2 - 2*w + 3]', '[1973, 1973, -5*w^5 + 4*w^4 + 24*w^3 - 15*w^2 - 21*w + 6]', '[1973, 1973, 2*w^5 - 11*w^3 + 10*w]', '[1981, 1981, 2*w^5 + 2*w^4 - 10*w^3 - 8*w^2 + 7*w + 5]', '[1984, 62, 2*w^5 - 10*w^3 + 10*w - 2]', '[1984, 62, 2*w^4 - 2*w^3 - 10*w^2 + 6*w + 6]', '[1987, 1987, w^5 - 2*w^4 - 6*w^3 + 8*w^2 + 9*w - 4]', '[1997, 1997, 5*w^5 - 5*w^4 - 22*w^3 + 18*w^2 + 13*w - 6]', '[1999, 1999, -2*w^5 + 3*w^4 + 10*w^3 - 11*w^2 - 8*w + 2]', '[2011, 2011, 2*w^5 - 3*w^4 - 9*w^3 + 13*w^2 + 5*w - 4]', '[2017, 2017, -4*w^5 + 5*w^4 + 17*w^3 - 19*w^2 - 8*w + 3]', '[2021, 2021, -3*w^4 + w^3 + 12*w^2 - 5*w - 5]', '[2039, 2039, w^5 - 2*w^4 - 2*w^3 + 8*w^2 - 5*w - 5]', '[2041, 2041, -2*w^5 + 4*w^4 + 7*w^3 - 14*w^2 - 2*w + 2]', '[2051, 2051, w^5 - 2*w^4 - 5*w^3 + 9*w^2 + 5*w - 2]', '[2051, 2051, -2*w^5 + 5*w^4 + 9*w^3 - 20*w^2 - 7*w + 8]', '[2069, 2069, 2*w^5 - 3*w^4 - 7*w^3 + 11*w^2 - w - 5]', '[2069, 2069, -2*w^5 + w^4 + 11*w^3 - 2*w^2 - 9*w - 3]', '[2075, 415, -2*w^5 - w^4 + 11*w^3 + 5*w^2 - 13*w - 2]', '[2077, 2077, -w^5 + 2*w^4 + 4*w^3 - 7*w^2 + 5]', '[2077, 2077, 2*w^5 - 2*w^4 - 12*w^3 + 6*w^2 + 14*w + 1]', '[2077, 2077, 4*w^5 - 4*w^4 - 16*w^3 + 16*w^2 + 7*w - 6]', '[2077, 2077, -w^4 + w^2 - 2*w + 3]', '[2081, 2081, -w^5 + 2*w^4 + 4*w^3 - 7*w^2 - w - 3]', '[2083, 2083, 3*w^5 - 4*w^4 - 15*w^3 + 14*w^2 + 16*w - 2]', '[2089, 2089, -2*w^5 + 3*w^4 + 7*w^3 - 13*w^2 + w + 7]', '[2099, 2099, 3*w^5 - w^4 - 14*w^3 + 3*w^2 + 11*w - 2]', '[2099, 2099, w^5 - w^4 - 5*w^3 + 4*w^2 + 7*w - 2]', '[2099, 2099, -3*w^5 + 3*w^4 + 13*w^3 - 12*w^2 - 8*w + 2]', '[2107, 301, w^5 - 3*w^4 - 4*w^3 + 12*w^2 + 4*w - 4]', '[2107, 2107, 2*w^5 - 2*w^4 - 7*w^3 + 6*w^2 + 2]', '[2119, 2119, -w^5 - 2*w^4 + 6*w^3 + 9*w^2 - 10*w - 5]', '[2119, 2119, 2*w^5 - 4*w^4 - 9*w^3 + 14*w^2 + 5*w - 3]', '[2119, 2119, -w^3 + 3*w^2 + 5*w - 4]', '[2129, 2129, w^5 - 4*w^3 + 3]', '[2131, 2131, 4*w^5 - 3*w^4 - 18*w^3 + 11*w^2 + 13*w - 3]', '[2131, 2131, 3*w^4 - 2*w^3 - 12*w^2 + 5*w + 6]', '[2141, 2141, 2*w^5 - 2*w^4 - 7*w^3 + 10*w^2 - 8]', '[2141, 2141, 2*w^5 + w^4 - 10*w^3 - 4*w^2 + 7*w + 4]', '[2141, 2141, -4*w^5 + 4*w^4 + 17*w^3 - 15*w^2 - 9*w + 5]', '[2141, 2141, 3*w^5 - 2*w^4 - 12*w^3 + 7*w^2 + w - 3]', '[2143, 2143, 2*w^5 - 3*w^4 - 7*w^3 + 13*w^2 - w - 6]', '[2149, 2149, w^5 - 5*w^3 - 2*w^2 + 3*w + 6]', '[2177, 2177, 3*w^5 - w^4 - 13*w^3 + w^2 + 7*w + 4]', '[2179, 2179, 5*w^5 - 4*w^4 - 24*w^3 + 15*w^2 + 18*w - 5]', '[2183, 2183, -3*w^5 + 4*w^4 + 13*w^3 - 18*w^2 - 5*w + 11]', '[2191, 2191, w^4 + 2*w^3 - 5*w^2 - 6*w + 1]', '[2197, 2197, 3*w^5 - 4*w^4 - 12*w^3 + 16*w^2 + 5*w - 9]', '[2203, 2203, 2*w^5 - 3*w^4 - 9*w^3 + 10*w^2 + 5*w + 2]', '[2207, 2207, 2*w^4 + w^3 - 11*w^2 - 4*w + 10]', '[2207, 2207, -2*w^4 + 9*w^2 - 3*w - 7]', '[2209, 47, -3*w^5 + 2*w^4 + 14*w^3 - 8*w^2 - 12*w + 5]', '[2209, 2209, 3*w^5 - w^4 - 14*w^3 + w^2 + 11*w + 6]', '[2213, 2213, 5*w^5 - 5*w^4 - 22*w^3 + 19*w^2 + 11*w - 6]', '[2213, 2213, -w^4 + w^3 + w^2 - 4*w + 3]', '[2219, 2219, 5*w^5 - w^4 - 24*w^3 + w^2 + 17*w]', '[2219, 2219, 5*w^5 - 4*w^4 - 22*w^3 + 15*w^2 + 13*w - 7]', '[2221, 2221, -4*w^5 + 4*w^4 + 18*w^3 - 15*w^2 - 10*w + 4]', '[2237, 2237, 4*w^5 - 3*w^4 - 19*w^3 + 12*w^2 + 15*w - 2]', '[2237, 2237, -2*w^5 - w^4 + 12*w^3 + 7*w^2 - 14*w - 7]', '[2237, 2237, 3*w^5 - w^4 - 15*w^3 + 4*w^2 + 13*w - 1]', '[2239, 2239, -w^5 - w^4 + 5*w^3 + 5*w^2 - 3*w - 6]', '[2243, 2243, -3*w^4 + w^3 + 13*w^2 - 4*w - 7]', '[2249, 2249, w^5 - 6*w^3 + w^2 + 6*w - 4]', '[2249, 2249, 3*w^5 - 2*w^4 - 14*w^3 + 7*w^2 + 8*w - 1]', '[2251, 2251, 3*w^5 - w^4 - 15*w^3 + 4*w^2 + 14*w - 2]', '[2251, 2251, -4*w^4 + 3*w^3 + 17*w^2 - 9*w - 9]', '[2257, 2257, -3*w^5 + 2*w^4 + 12*w^3 - 4*w^2 - 8*w]', '[2263, 2263, 5*w^5 - 7*w^4 - 20*w^3 + 27*w^2 + 5*w - 11]', '[2263, 2263, 3*w^5 - 4*w^4 - 14*w^3 + 15*w^2 + 8*w - 6]', '[2263, 2263, -w^5 + 8*w^3 - 15*w + 1]', '[2263, 2263, w^5 + w^4 - 4*w^3 - 4*w^2 + 2*w + 5]', '[2267, 2267, w^4 - 2*w^3 - 7*w^2 + 7*w + 6]', '[2273, 2273, 4*w^5 - 2*w^4 - 18*w^3 + 5*w^2 + 10*w + 5]', '[2273, 2273, w^5 + w^4 - 7*w^3 - 4*w^2 + 10*w]', '[2275, 455, 2*w^5 - 3*w^4 - 9*w^3 + 11*w^2 + 8*w - 2]', '[2279, 2279, 5*w^5 - 2*w^4 - 24*w^3 + 5*w^2 + 21*w + 2]', '[2281, 2281, -2*w^5 + 3*w^4 + 11*w^3 - 11*w^2 - 10*w + 3]', '[2281, 2281, 3*w^5 - 2*w^4 - 13*w^3 + 8*w^2 + 6*w - 2]', '[2293, 2293, -w^4 - 2*w^3 + 2*w^2 + 8*w + 2]', '[2293, 2293, -4*w^5 + 4*w^4 + 18*w^3 - 16*w^2 - 11*w + 5]', '[2293, 2293, -2*w^5 + 2*w^4 + 9*w^3 - 7*w^2 - 8*w - 3]', '[2303, 329, -w^5 + 3*w^4 + 3*w^3 - 12*w^2 + 2*w + 8]', '[2303, 2303, -w^5 + w^4 + 5*w^3 - 5*w^2 - 3*w + 6]', '[2309, 2309, -2*w^5 + 2*w^4 + 10*w^3 - 5*w^2 - 9*w - 5]', '[2311, 2311, -2*w^5 + 10*w^3 + w^2 - 11*w - 1]', '[2317, 2317, w^5 - 6*w^3 - w^2 + 5*w + 5]', '[2317, 2317, -3*w^5 + 4*w^4 + 14*w^3 - 15*w^2 - 12*w + 2]', '[2317, 2317, -4*w^5 + w^4 + 19*w^3 - w^2 - 13*w]', '[2327, 2327, 2*w^5 - 4*w^4 - 11*w^3 + 14*w^2 + 11*w - 3]', '[2333, 2333, -w^5 + 6*w^3 + w^2 - 11*w - 4]', '[2341, 2341, -w^5 + 5*w^3 - 2*w^2 - 4*w + 4]', '[2347, 2347, -3*w^4 + 2*w^3 + 13*w^2 - 5*w - 7]', '[2368, 74, -2*w^4 + 10*w^2 - 2*w - 6]', '[2371, 2371, 5*w^5 - 5*w^4 - 21*w^3 + 18*w^2 + 9*w - 2]', '[2371, 2371, -w^5 + 4*w^3 + 3*w^2 - 2*w - 5]', '[2381, 2381, -w^5 + 5*w^4 + 4*w^3 - 21*w^2 - 3*w + 11]', '[2381, 2381, 2*w^4 - 8*w^2 - w + 6]', '[2383, 2383, -4*w^5 + 2*w^4 + 19*w^3 - 4*w^2 - 14*w - 3]', '[2383, 2383, -5*w^5 + 5*w^4 + 23*w^3 - 18*w^2 - 17*w + 1]', '[2389, 2389, -2*w^4 + w^3 + 10*w^2 - 3*w - 5]', '[2399, 2399, -3*w^5 + w^4 + 13*w^3 - 5*w^2 - 6*w + 2]', '[2401, 7, w^5 - w^4 - 3*w^3 + 6*w^2 - 4*w - 8]', '[2401, 49, w^5 - w^4 - 6*w^3 + 3*w^2 + 9*w - 2]', '[2401, 49, 2*w^5 - 4*w^4 - 9*w^3 + 16*w^2 + 5*w - 5]', '[2401, 2401, w^5 - w^4 - 5*w^3 + w^2 + 3*w + 3]', '[2411, 2411, -5*w^5 + 4*w^4 + 21*w^3 - 14*w^2 - 9*w + 1]', '[2417, 2417, 3*w^5 - 6*w^4 - 13*w^3 + 24*w^2 + 9*w - 9]', '[2417, 2417, 4*w^5 - w^4 - 20*w^3 + 3*w^2 + 18*w - 3]', '[2423, 2423, w^5 - 3*w^4 - 3*w^3 + 13*w^2 - 7]', '[2423, 2423, 2*w^5 - 6*w^4 - 7*w^3 + 26*w^2 - w - 13]', '[2423, 2423, -3*w^5 + 2*w^4 + 14*w^3 - 8*w^2 - 9*w + 1]', '[2425, 485, 3*w^5 - 4*w^4 - 13*w^3 + 13*w^2 + 10*w - 2]', '[2429, 2429, -w^5 - 3*w^4 + 6*w^3 + 14*w^2 - 5*w - 9]', '[2437, 2437, -3*w^5 + w^4 + 15*w^3 - 5*w^2 - 14*w + 6]', '[2437, 2437, 4*w^5 - 3*w^4 - 18*w^3 + 9*w^2 + 10*w + 4]', '[2441, 2441, 4*w^5 - 4*w^4 - 18*w^3 + 15*w^2 + 10*w - 5]', '[2441, 2441, w^5 - 5*w^4 - w^3 + 20*w^2 - 8*w - 8]', '[2443, 2443, w^4 - 3*w^3 - 3*w^2 + 9*w + 4]', '[2443, 2443, -4*w^5 + 3*w^4 + 20*w^3 - 11*w^2 - 16*w + 3]', '[2447, 2447, -4*w^5 + 4*w^4 + 20*w^3 - 14*w^2 - 19*w + 5]', '[2447, 2447, w^5 - 7*w^3 + w^2 + 11*w - 1]', '[2447, 2447, -2*w^5 + 2*w^4 + 7*w^3 - 8*w^2 + 4]', '[2459, 2459, -2*w^5 + w^4 + 11*w^3 - 4*w^2 - 11*w + 3]', '[2473, 2473, -2*w^5 + 2*w^4 + 8*w^3 - 9*w^2 - w + 6]', '[2479, 2479, -2*w^5 + w^4 + 11*w^3 - 6*w^2 - 11*w + 1]', '[2479, 2479, -w^4 - 2*w^3 + 6*w^2 + 3*w - 5]', '[2483, 2483, -4*w^5 + 7*w^4 + 16*w^3 - 26*w^2 - 3*w + 5]', '[2491, 2491, -2*w^2 + 3*w + 5]', '[2503, 2503, w^5 - 2*w^4 - 4*w^3 + 8*w^2 - w - 5]', '[2503, 2503, w^5 - 4*w^4 - 5*w^3 + 17*w^2 + 5*w - 6]', '[2509, 2509, w^4 - 2*w^2 - 3]', '[2513, 2513, 3*w^5 - 15*w^3 - 2*w^2 + 11*w + 6]', '[2513, 2513, -w^5 + w^4 + 5*w^3 - 7*w^2 - 3*w + 7]', '[2525, 505, -2*w^5 + w^4 + 9*w^3 - 3*w^2 - 9*w + 2]', '[2525, 505, w^4 - 2*w^3 - 2*w^2 + 3*w - 2]', '[2531, 2531, -2*w^5 + 3*w^4 + 10*w^3 - 11*w^2 - 6*w + 1]', '[2531, 2531, -3*w^5 + 4*w^4 + 15*w^3 - 14*w^2 - 16*w + 3]', '[2531, 2531, -w^5 + 3*w^4 + 5*w^3 - 12*w^2 - 4*w + 3]', '[2537, 2537, -3*w^5 + 5*w^4 + 14*w^3 - 19*w^2 - 12*w + 5]', '[2539, 2539, -w^5 + 2*w^4 + 5*w^3 - 7*w^2 - 8*w + 1]', '[2543, 2543, -4*w^5 + 2*w^4 + 20*w^3 - 7*w^2 - 16*w + 2]', '[2549, 2549, -2*w^5 + 2*w^4 + 8*w^3 - 5*w^2 - w - 1]', '[2551, 2551, 4*w^5 - w^4 - 21*w^3 + 2*w^2 + 22*w]', '[2557, 2557, -w^5 + 3*w^4 + 3*w^3 - 14*w^2 + 12]', '[2573, 2573, 3*w^5 + w^4 - 17*w^3 - 5*w^2 + 21*w + 3]', '[2573, 2573, -2*w^5 + 6*w^4 + 6*w^3 - 25*w^2 + 3*w + 10]', '[2579, 2579, 4*w^5 - 21*w^3 - 2*w^2 + 21*w + 5]', '[2587, 2587, w^5 - 3*w^4 - 3*w^3 + 12*w^2 - 4*w - 6]', '[2591, 2591, 3*w^5 - 4*w^4 - 13*w^3 + 16*w^2 + 7*w - 4]', '[2591, 2591, -4*w^5 + 2*w^4 + 17*w^3 - 6*w^2 - 7*w - 2]', '[2593, 2593, 4*w^5 - 5*w^4 - 17*w^3 + 20*w^2 + 9*w - 6]', '[2593, 2593, -w^5 - w^4 + 5*w^3 + 7*w^2 - 2*w - 7]', '[2597, 371, -w^5 + 4*w^4 + 3*w^3 - 15*w^2 - w + 9]', '[2597, 2597, 4*w^5 - 2*w^4 - 21*w^3 + 6*w^2 + 20*w + 1]', '[2611, 2611, -3*w^5 + 13*w^3 + w^2 - 8*w + 2]', '[2623, 2623, 3*w^5 + w^4 - 14*w^3 - 7*w^2 + 11*w + 5]', '[2633, 2633, -w^5 + 3*w^4 + 2*w^3 - 12*w^2 + 2*w + 8]', '[2633, 2633, 2*w^5 + 2*w^4 - 11*w^3 - 8*w^2 + 10*w + 2]', '[2657, 2657, 3*w^5 - 6*w^4 - 13*w^3 + 24*w^2 + 5*w - 10]', '[2659, 2659, -2*w^5 + 3*w^4 + 9*w^3 - 12*w^2 - 6*w]', '[2663, 2663, 3*w^5 - w^4 - 15*w^3 + 4*w^2 + 13*w - 2]', '[2675, 535, -2*w^5 + 3*w^4 + 10*w^3 - 12*w^2 - 8*w + 3]', '[2675, 535, -4*w^5 + 3*w^4 + 18*w^3 - 11*w^2 - 11*w + 2]', '[2677, 2677, 3*w^4 - w^3 - 13*w^2 + 4*w + 6]', '[2681, 2681, w^5 - 2*w^4 - 3*w^3 + 10*w^2 - 4*w - 8]', '[2687, 2687, -4*w^5 + 4*w^4 + 18*w^3 - 14*w^2 - 13*w]', '[2689, 2689, w^5 - 2*w^3 - 2*w^2 - 5*w + 5]', '[2693, 2693, -3*w^5 + 2*w^4 + 11*w^3 - 7*w^2 - 2*w + 2]', '[2701, 2701, w^5 - 2*w^4 - 3*w^3 + 8*w^2 + 2*w - 6]', '[2701, 2701, 2*w^5 - 2*w^4 - 11*w^3 + 9*w^2 + 13*w - 5]', '[2707, 2707, -5*w^5 + 4*w^4 + 23*w^3 - 12*w^2 - 16*w - 2]', '[2707, 2707, 2*w^5 - w^4 - 8*w^3 + 2*w^2 + 4*w + 3]', '[2707, 2707, 2*w^4 - w^3 - 11*w^2 + 2*w + 12]', '[2711, 2711, -5*w^5 + 6*w^4 + 23*w^3 - 22*w^2 - 17*w + 7]', '[2711, 2711, 2*w^5 - w^4 - 9*w^3 + 2*w^2 + 4*w + 4]', '[2713, 2713, 3*w^5 - 2*w^4 - 14*w^3 + 9*w^2 + 8*w - 8]', '[2723, 2723, 2*w^5 - 2*w^4 - 9*w^3 + 7*w^2 + 9*w]', '[2729, 2729, 3*w^5 - 2*w^4 - 12*w^3 + 9*w^2 + 4*w - 6]', '[2731, 2731, -3*w^5 + 5*w^4 + 10*w^3 - 20*w^2 + 3*w + 8]', '[2741, 2741, -5*w^5 + 6*w^4 + 21*w^3 - 21*w^2 - 9*w + 3]', '[2743, 2743, -w^5 - 2*w^4 + 7*w^3 + 7*w^2 - 9*w - 2]', '[2743, 2743, 3*w^5 - 15*w^3 - w^2 + 15*w + 2]', '[2743, 2743, -2*w^4 + 2*w^3 + 9*w^2 - 4*w - 4]', '[2752, 86, 4*w^5 - 2*w^4 - 18*w^3 + 6*w^2 + 12*w]', '[2753, 2753, -w^5 + 3*w^4 + 3*w^3 - 13*w^2 + 4*w + 7]', '[2753, 2753, w^5 - w^4 - 6*w^3 + 7*w^2 + 8*w - 7]', '[2767, 2767, -2*w^5 + w^4 + 11*w^3 - w^2 - 10*w - 5]', '[2773, 2773, w^5 - 5*w^4 - 3*w^3 + 22*w^2 - 2*w - 10]', '[2779, 2779, -4*w^5 + 2*w^4 + 19*w^3 - 6*w^2 - 13*w + 4]', '[2779, 2779, 2*w^5 - w^4 - 9*w^3 + 6*w^2 + 3*w - 3]', '[2789, 2789, 3*w^5 - w^4 - 16*w^3 + 5*w^2 + 16*w - 6]', '[2789, 2789, 4*w^4 - 3*w^3 - 17*w^2 + 10*w + 9]', '[2789, 2789, -w^5 + 4*w^3 + w^2 - 5]', '[2797, 2797, 4*w^5 - w^4 - 19*w^3 + w^2 + 16*w + 2]', '[2797, 2797, 2*w^5 + 2*w^4 - 9*w^3 - 10*w^2 + 5*w + 8]', '[2797, 2797, -2*w^5 + w^4 + 11*w^3 - w^2 - 14*w - 1]', '[2801, 2801, w^4 - 3*w^2 + w - 3]', '[2801, 2801, -w^5 + 4*w^4 + 3*w^3 - 16*w^2 + 4*w + 6]', '[2803, 2803, w^5 + w^4 - 4*w^3 - 6*w^2 + 4*w + 7]', '[2809, 2809, -6*w^5 + 5*w^4 + 28*w^3 - 18*w^2 - 20*w + 3]', '[2819, 2819, 4*w^5 - 5*w^4 - 16*w^3 + 19*w^2 + 3*w - 7]', '[2821, 2821, -4*w^5 + 5*w^4 + 18*w^3 - 19*w^2 - 10*w + 6]', '[2821, 2821, -w^5 + 2*w^4 + 4*w^3 - 9*w^2 + w + 6]', '[2825, 565, 2*w^4 - 2*w^3 - 10*w^2 + 7*w + 5]', '[2833, 2833, w^5 + w^4 - 4*w^3 - 6*w^2 - w + 7]', '[2833, 2833, -w^5 + 2*w^4 + w^3 - 9*w^2 + 8*w + 5]', '[2837, 2837, 3*w^5 - 4*w^4 - 14*w^3 + 15*w^2 + 9*w - 3]', '[2843, 2843, -w^5 - 2*w^4 + 7*w^3 + 8*w^2 - 11*w - 7]', '[2843, 2843, 3*w^5 - 6*w^4 - 11*w^3 + 24*w^2 - w - 11]', '[2857, 2857, -4*w^5 + 4*w^4 + 20*w^3 - 17*w^2 - 18*w + 8]', '[2861, 2861, w^5 + w^4 - 7*w^3 - 3*w^2 + 13*w]', '[2861, 2861, 4*w^5 - 3*w^4 - 19*w^3 + 13*w^2 + 15*w - 8]', '[2863, 2863, -5*w^5 + 24*w^3 + 3*w^2 - 19*w - 4]', '[2867, 2867, -3*w^4 + w^3 + 11*w^2 + w - 2]', '[2879, 2879, 4*w^5 - w^4 - 18*w^3 + 3*w^2 + 10*w + 2]', '[2881, 2881, 2*w^5 - 9*w^3 + 8*w - 1]', '[2881, 2881, w^5 - 6*w^3 + 9*w + 5]', '[2891, 413, 4*w^5 - 4*w^4 - 18*w^3 + 16*w^2 + 13*w - 12]', '[2891, 2891, -5*w^5 + 7*w^4 + 22*w^3 - 27*w^2 - 13*w + 7]', '[2899, 2899, 2*w^5 - 3*w^4 - 9*w^3 + 8*w^2 + 6*w + 2]', '[2903, 2903, w^5 - 3*w^4 - 3*w^3 + 14*w^2 - 2*w - 8]', '[2909, 2909, -3*w^5 + 3*w^4 + 14*w^3 - 9*w^2 - 11*w + 2]', '[2947, 2947, 2*w^3 - w^2 - 8*w - 3]', '[2951, 2951, w^5 + 2*w^4 - 5*w^3 - 7*w^2 + 7*w - 1]', '[2951, 2951, w^5 - 5*w^3 + 5*w + 4]', '[2969, 2969, -2*w^5 + 4*w^4 + 9*w^3 - 15*w^2 - 7*w + 5]', '[2969, 2969, -3*w^4 + 2*w^3 + 12*w^2 - 6*w - 6]', '[2971, 2971, -w^5 - 2*w^4 + 5*w^3 + 12*w^2 - 5*w - 10]', '[2977, 2977, -2*w^5 + w^4 + 8*w^3 - 3*w^2 - 2*w - 3]', '[2989, 427, 2*w^5 + w^4 - 11*w^3 - 2*w^2 + 8*w]', '[2989, 2989, w^5 + 2*w^4 - 7*w^3 - 9*w^2 + 9*w + 5]', '[2999, 2999, 4*w^5 - 7*w^4 - 17*w^3 + 27*w^2 + 9*w - 11]', '[3007, 3007, w^5 - w^4 - 5*w^3 + 5*w^2 + 5*w - 8]', '[3007, 3007, -5*w^5 + 5*w^4 + 24*w^3 - 18*w^2 - 19*w + 2]', '[3008, 94, -2*w^5 + 2*w^4 + 8*w^3 - 8*w^2 + 4]', '[3017, 3017, -4*w^5 + 4*w^4 + 17*w^3 - 14*w^2 - 11*w + 6]', '[3019, 3019, -2*w^5 + 10*w^3 + 2*w^2 - 7*w - 5]', '[3023, 3023, 2*w^5 - 3*w^4 - 7*w^3 + 12*w^2 - 7]', '[3023, 3023, -w^5 + 3*w^3 + 2*w^2 + w - 4]', '[3025, 55, -3*w^5 + 2*w^4 + 14*w^3 - 5*w^2 - 10*w]', '[3029, 3029, -w^5 + 7*w^3 + 2*w^2 - 10*w - 1]', '[3029, 3029, w^5 + w^4 - 6*w^3 - 6*w^2 + 6*w + 8]', '[3029, 3029, -2*w^4 + 7*w^2 - w + 1]', '[3031, 3031, -2*w^5 + 9*w^3 - 2*w^2 - 2*w + 5]', '[3031, 3031, -3*w^5 - 2*w^4 + 15*w^3 + 12*w^2 - 12*w - 9]', '[3037, 3037, -4*w^5 + 3*w^4 + 19*w^3 - 12*w^2 - 14*w + 2]', '[3049, 3049, w^3 - 6*w]', '[3067, 3067, -w^5 + 2*w^4 + 2*w^3 - 9*w^2 + 4*w + 6]', '[3067, 3067, -2*w^5 + 3*w^4 + 10*w^3 - 9*w^2 - 10*w + 1]', '[3067, 3067, -2*w^5 + 2*w^4 + 11*w^3 - 7*w^2 - 13*w + 3]', '[3071, 3071, -3*w^5 + w^4 + 16*w^3 - 3*w^2 - 16*w + 1]', '[3073, 3073, 3*w^5 - 3*w^4 - 14*w^3 + 10*w^2 + 12*w - 5]', '[3073, 3073, 3*w^5 - 2*w^4 - 14*w^3 + 8*w^2 + 8*w - 7]', '[3073, 3073, 4*w^4 - w^3 - 17*w^2 + 3*w + 9]', '[3079, 3079, 2*w^5 - 5*w^4 - 6*w^3 + 19*w^2 - 5*w - 7]', '[3079, 3079, w^5 + 3*w^4 - 7*w^3 - 12*w^2 + 10*w + 5]', '[3083, 3083, -2*w^5 + 9*w^3 + w^2 - 5*w - 4]', '[3089, 3089, -2*w^5 + w^4 + 12*w^3 - 4*w^2 - 13*w + 1]', '[3089, 3089, 5*w^5 - 4*w^4 - 22*w^3 + 14*w^2 + 11*w - 1]', '[3089, 3089, w^5 - 6*w^3 + 10*w]', '[3109, 3109, 5*w^5 - 5*w^4 - 22*w^3 + 20*w^2 + 13*w - 8]', '[3109, 3109, 4*w^5 - 2*w^4 - 19*w^3 + 9*w^2 + 13*w - 6]', '[3109, 3109, 4*w^5 - w^4 - 19*w^3 + 4*w^2 + 13*w - 1]', '[3109, 3109, -2*w^5 + 5*w^4 + 8*w^3 - 22*w^2 - w + 9]', '[3119, 3119, -4*w^5 + 3*w^4 + 18*w^3 - 10*w^2 - 13*w + 1]', '[3127, 3127, 5*w^5 - 2*w^4 - 24*w^3 + 7*w^2 + 18*w - 3]', '[3131, 3131, -4*w^5 + 6*w^4 + 16*w^3 - 25*w^2 - 7*w + 12]', '[3131, 3131, w^3 - 3*w + 4]', '[3131, 3131, 3*w^5 - w^4 - 15*w^3 + 5*w^2 + 15*w - 3]', '[3131, 3131, 3*w^5 - 6*w^4 - 13*w^3 + 24*w^2 + 6*w - 9]', '[3136, 14, 2*w^4 - 8*w^2 - 2*w + 6]', '[3136, 98, 4*w^5 - 4*w^4 - 18*w^3 + 14*w^2 + 10*w - 2]', '[3137, 3137, -w^5 + 2*w^4 + 4*w^3 - 7*w^2 + 2*w + 3]', '[3137, 3137, 2*w^5 - 2*w^4 - 8*w^3 + 9*w^2 + w - 5]', '[3139, 3139, w^4 - 3*w^2 - w - 5]', '[3139, 3139, 2*w^5 - w^4 - 11*w^3 + 3*w^2 + 10*w - 1]', '[3149, 3149, -w^4 + 2*w^3 + 3*w^2 - 4*w + 2]', '[3149, 3149, 3*w^5 - 15*w^3 + 12*w + 1]', '[3167, 3167, w^5 + 3*w^4 - 8*w^3 - 12*w^2 + 13*w + 6]', '[3169, 3169, 3*w^5 - 6*w^4 - 13*w^3 + 25*w^2 + 6*w - 9]', '[3169, 3169, -3*w^5 + 4*w^4 + 12*w^3 - 17*w^2 - 4*w + 5]', '[3175, 635, w^5 + w^4 - 7*w^3 - 2*w^2 + 9*w - 1]', '[3191, 3191, 4*w^5 - 5*w^4 - 16*w^3 + 21*w^2 + 6*w - 11]', '[3191, 3191, -2*w^4 + 3*w^3 + 10*w^2 - 12*w - 7]', '[3203, 3203, w^5 - w^4 - 4*w^3 + 6*w^2 - 2*w - 7]', '[3209, 3209, w^5 - 4*w^4 - 2*w^3 + 18*w^2 - 4*w - 9]', '[3221, 3221, w^5 + w^4 - 5*w^3 - 4*w^2 + w + 5]', '[3227, 3227, -w^4 + w^3 + 4*w^2 + 1]', '[3233, 3233, -3*w^5 + 5*w^4 + 11*w^3 - 21*w^2 + 9]', '[3251, 3251, 4*w^5 - 2*w^4 - 17*w^3 + 8*w^2 + 8*w - 3]', '[3253, 3253, 4*w^5 - 5*w^4 - 17*w^3 + 21*w^2 + 6*w - 9]', '[3253, 3253, -w^5 + 5*w^4 + w^3 - 20*w^2 + 9*w + 9]', '[3259, 3259, -4*w^5 + 3*w^4 + 20*w^3 - 10*w^2 - 20*w + 4]', '[3269, 3269, -w^5 - 3*w^4 + 4*w^3 + 13*w^2 + 3*w - 5]', '[3271, 3271, -w^3 + 3*w^2 + 4*w - 3]', '[3271, 3271, -w^5 + 8*w^3 - 15*w - 1]', '[3275, 655, 4*w^5 - 2*w^4 - 19*w^3 + 7*w^2 + 13*w]', '[3275, 655, -3*w^5 + 3*w^4 + 11*w^3 - 10*w^2 - w - 1]', '[3283, 469, 2*w^5 - 3*w^4 - 8*w^3 + 11*w^2 + 7*w - 4]', '[3283, 469, -2*w^5 + 5*w^4 + 8*w^3 - 18*w^2 - 4*w + 8]', '[3283, 3283, w^5 - w^4 - 6*w^3 + w^2 + 8*w + 5]', '[3283, 3283, w^4 - 3*w^3 - 4*w^2 + 8*w - 1]', '[3301, 3301, 5*w^5 - 3*w^4 - 23*w^3 + 10*w^2 + 18*w - 3]', '[3301, 3301, w^5 + w^4 - 4*w^3 - 6*w^2 + 2*w + 6]', '[3313, 3313, -4*w^5 + 5*w^4 + 19*w^3 - 18*w^2 - 16*w + 6]', '[3317, 3317, 6*w^5 - 5*w^4 - 27*w^3 + 18*w^2 + 18*w - 3]', '[3317, 3317, w^4 + w^3 - 7*w^2 - 5*w + 9]', '[3317, 3317, 4*w^5 - 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w^4 + 12*w^3 + 4*w^2 - 17*w]', '[3367, 3367, 3*w^5 - 4*w^4 - 15*w^3 + 16*w^2 + 13*w - 5]', '[3371, 3371, w^5 - 4*w^4 - 5*w^3 + 16*w^2 + 3*w - 6]', '[3371, 3371, -3*w^5 + 6*w^4 + 12*w^3 - 23*w^2 - 3*w + 5]', '[3373, 3373, -2*w^5 + 2*w^4 + 9*w^3 - 4*w^2 - 6*w - 2]', '[3392, 106, 2*w^5 - 2*w^4 - 8*w^3 + 10*w^2 + 2*w - 10]', '[3409, 3409, -w^5 + 3*w^4 + 3*w^3 - 11*w^2 + 2*w + 6]', '[3419, 3419, 4*w^4 - 3*w^3 - 17*w^2 + 11*w + 7]', '[3431, 3431, -w^5 + 4*w^3 - 3*w + 3]', '[3431, 3431, -2*w^5 - 2*w^4 + 12*w^3 + 8*w^2 - 15*w]', '[3433, 3433, 4*w^5 - 2*w^4 - 19*w^3 + 5*w^2 + 17*w]', '[3449, 3449, -2*w^5 + 3*w^4 + 10*w^3 - 11*w^2 - 8*w + 1]', '[3449, 3449, 2*w^5 + w^4 - 9*w^3 - 6*w^2 + 8*w + 5]', '[3457, 3457, -w^5 + w^4 + 6*w^3 - 4*w^2 - 10*w + 2]', '[3461, 3461, 2*w^4 + 2*w^3 - 8*w^2 - 7*w + 4]', '[3463, 3463, -4*w^4 + 3*w^3 + 17*w^2 - 11*w - 8]', '[3469, 3469, 2*w^5 - 9*w^3 - 3*w^2 + 3*w + 5]', '[3481, 59, -6*w^5 + 5*w^4 + 28*w^3 - 18*w^2 - 22*w + 5]', '[3481, 3481, w^5 - 2*w^4 - 6*w^3 + 8*w^2 + 11*w - 5]', '[3493, 3493, -w^5 + 4*w^4 + 4*w^3 - 15*w^2 - 6*w + 5]', '[3497, 3497, -2*w^5 + 3*w^4 + 8*w^3 - 11*w^2 - 5*w + 2]', '[3499, 3499, -w^5 + 2*w^4 + w^3 - 8*w^2 + 9*w + 5]', '[3499, 3499, -w^5 + 2*w^4 + 2*w^3 - 8*w^2 + 4*w + 5]', '[3503, 3503, -3*w^4 + 4*w^3 + 14*w^2 - 12*w - 8]', '[3503, 3503, -w^5 - 2*w^4 + 7*w^3 + 7*w^2 - 12*w]', '[3511, 3511, -3*w^4 + 3*w^3 + 15*w^2 - 10*w - 11]', '[3521, 3521, 2*w^5 + 3*w^4 - 10*w^3 - 13*w^2 + 6*w + 7]', '[3533, 3533, 4*w^5 - 6*w^4 - 18*w^3 + 22*w^2 + 11*w - 6]', '[3539, 3539, 2*w^5 - 4*w^4 - 6*w^3 + 17*w^2 - 3*w - 9]', '[3541, 3541, 4*w^5 - 3*w^4 - 18*w^3 + 10*w^2 + 9*w - 3]', '[3547, 3547, 3*w^5 - 3*w^4 - 14*w^3 + 14*w^2 + 10*w - 6]', '[3547, 3547, -4*w^5 + 3*w^4 + 17*w^3 - 12*w^2 - 6*w + 5]', '[3551, 3551, -6*w^5 + 6*w^4 + 28*w^3 - 22*w^2 - 21*w + 8]', '[3551, 3551, 3*w^5 - 6*w^4 - 12*w^3 + 22*w^2 + 4*w - 7]', '[3557, 3557, 3*w^5 - 4*w^4 - 11*w^3 + 16*w^2 - w - 5]', '[3563, 3563, 2*w^5 + w^4 - 9*w^3 - 8*w^2 + 7*w + 8]', '[3563, 3563, w^5 + 2*w^4 - 7*w^3 - 10*w^2 + 9*w + 9]', '[3569, 3569, 4*w^5 - w^4 - 19*w^3 + 13*w + 7]', '[3571, 3571, 3*w^5 - 2*w^4 - 16*w^3 + 5*w^2 + 18*w + 1]', '[3571, 3571, -w^5 + 4*w^4 + 5*w^3 - 15*w^2 - 5*w + 3]', '[3577, 511, -2*w^5 + 3*w^4 + 9*w^3 - 15*w^2 - 5*w + 8]', '[3577, 511, -4*w^5 + 7*w^4 + 17*w^3 - 28*w^2 - 10*w + 11]', '[3577, 3577, -2*w^5 + 4*w^4 + 7*w^3 - 13*w^2 + w - 4]', '[3577, 3577, 2*w^5 - 10*w^3 + 11*w - 1]', '[3583, 3583, 3*w^5 - 5*w^4 - 12*w^3 + 21*w^2 + 6*w - 11]', '[3589, 3589, 4*w^5 - 4*w^4 - 20*w^3 + 17*w^2 + 16*w - 5]', '[3593, 3593, -w^5 + 4*w^4 + 3*w^3 - 15*w^2 - w + 3]', '[3593, 3593, 3*w^5 - 4*w^4 - 14*w^3 + 13*w^2 + 10*w - 3]', '[3599, 3599, -2*w^5 + 2*w^4 + 10*w^3 - 8*w^2 - 10*w - 1]', '[3607, 3607, 5*w^5 - 3*w^4 - 23*w^3 + 11*w^2 + 16*w - 3]', '[3613, 3613, -2*w^5 + w^4 + 10*w^3 - 2*w^2 - 10*w + 1]', '[3613, 3613, -3*w^5 + 4*w^4 + 15*w^3 - 14*w^2 - 15*w + 4]', '[3631, 3631, -w^5 + 5*w^3 + 2*w^2 - w - 3]', '[3637, 3637, 5*w^5 - 7*w^4 - 22*w^3 + 27*w^2 + 14*w - 8]', '[3637, 3637, 2*w^5 - 9*w^3 - w^2 + 5*w - 3]', '[3647, 3647, -w^5 + w^4 + 4*w^3 - 7*w^2 + w + 7]', '[3647, 3647, -2*w^5 + 10*w^3 + 4*w^2 - 9*w - 4]', '[3659, 3659, w^5 + w^4 - 5*w^3 - 4*w^2 + 8*w]', '[3659, 3659, 3*w^5 - 2*w^4 - 14*w^3 + 9*w^2 + 10*w - 1]', '[3661, 3661, 2*w^5 - 9*w^3 - 3*w^2 + 8*w + 6]', '[3661, 3661, 3*w^5 + w^4 - 14*w^3 - 8*w^2 + 11*w + 8]', '[3661, 3661, 2*w^5 - w^4 - 10*w^3 + 5*w^2 + 7*w - 6]', '[3671, 3671, -4*w^5 + 3*w^4 + 17*w^3 - 9*w^2 - 10*w - 1]', '[3671, 3671, -4*w^4 + 3*w^3 + 15*w^2 - 9*w - 5]', '[3673, 3673, w^5 - w^4 - 6*w^3 + 7*w^2 + 8*w - 6]', '[3673, 3673, w^5 - 3*w^4 - 4*w^3 + 10*w^2 + 3*w + 2]', '[3677, 3677, -2*w^5 + w^4 + 9*w^3 - w^2 - 5*w - 4]', '[3677, 3677, -2*w^5 + 6*w^4 + 7*w^3 - 25*w^2 + w + 11]', '[3677, 3677, -5*w^5 + 6*w^4 + 22*w^3 - 24*w^2 - 13*w + 8]', '[3677, 3677, 4*w^5 - 6*w^4 - 17*w^3 + 23*w^2 + 8*w - 11]', '[3679, 3679, -w^5 + 2*w^3 - w^2 + 3*w + 3]', '[3701, 3701, -2*w^5 + 10*w^3 + 3*w^2 - 11*w - 2]', '[3721, 3721, -2*w^4 + 2*w^3 + 7*w^2 - 6*w - 5]', '[3725, 745, -w^5 - w^4 + 4*w^3 + 4*w^2 - 4]', '[3733, 3733, 4*w^5 - 3*w^4 - 17*w^3 + 11*w^2 + 6*w - 1]', '[3737, 3737, 2*w^5 - 2*w^4 - 8*w^3 + 7*w^2 + 6*w - 6]', '[3737, 3737, -3*w^5 + 3*w^4 + 16*w^3 - 13*w^2 - 14*w + 7]', '[3739, 3739, w^5 - 2*w^4 - 2*w^3 + 6*w^2 - 6*w - 3]', '[3751, 341, w^5 + 2*w^4 - 4*w^3 - 9*w^2 + w + 7]', '[3751, 341, 4*w^5 - 3*w^4 - 20*w^3 + 9*w^2 + 16*w]', '[3767, 3767, w^5 + 3*w^4 - 7*w^3 - 14*w^2 + 12*w + 7]', '[3767, 3767, -3*w^5 + 5*w^4 + 13*w^3 - 17*w^2 - 7*w + 4]', '[3769, 3769, 3*w^4 - 2*w^3 - 15*w^2 + 7*w + 11]', '[3775, 755, 2*w^5 - w^4 - 9*w^3 + w^2 + 7*w - 1]', '[3776, 118, 2*w^4 - 10*w^2 - 2*w + 10]', '[3797, 3797, -4*w^5 + 2*w^4 + 21*w^3 - 8*w^2 - 21*w + 4]', '[3797, 3797, w^5 + w^4 - 5*w^3 - 2*w^2 + 4*w - 2]', '[3809, 3809, -5*w^5 + 5*w^4 + 21*w^3 - 19*w^2 - 10*w + 6]', '[3809, 3809, 3*w^5 - 3*w^4 - 14*w^3 + 10*w^2 + 8*w - 1]', '[3821, 3821, 4*w^5 - w^4 - 18*w^3 + 2*w^2 + 13*w]', '[3829, 3829, -3*w^5 + 4*w^4 + 15*w^3 - 14*w^2 - 14*w + 2]', '[3853, 3853, 3*w^5 - 4*w^4 - 13*w^3 + 15*w^2 + 9*w - 4]', '[3853, 3853, 4*w^4 - 2*w^3 - 17*w^2 + 8*w + 10]', '[3863, 3863, 2*w^5 + 2*w^4 - 12*w^3 - 11*w^2 + 15*w + 8]', '[3869, 3869, -w^5 - 2*w^4 + 6*w^3 + 10*w^2 - 7*w - 11]', '[3869, 3869, -w^5 - 3*w^4 + 6*w^3 + 15*w^2 - 6*w - 9]', '[3877, 3877, -2*w^5 + 4*w^4 + 7*w^3 - 17*w^2 - 2*w + 7]', '[3877, 3877, -w^5 + 3*w^4 + 2*w^3 - 12*w^2 + 2*w + 4]', '[3881, 3881, 3*w^5 - 3*w^4 - 12*w^3 + 11*w^2 + 7*w - 2]', '[3881, 3881, 3*w^5 - 4*w^4 - 13*w^3 + 18*w^2 + 5*w - 10]', '[3899, 3899, w^5 - w^4 - 2*w^3 + 5*w^2 - 5*w - 5]', '[3901, 3901, -w^5 + w^4 + w^3 - 3*w^2 + 10*w]', '[3904, 122, 4*w^4 - 18*w^2 + 10]', '[3911, 3911, 3*w^5 - 2*w^4 - 14*w^3 + 7*w^2 + 14*w - 3]', '[3913, 3913, w^5 - 4*w^4 - 3*w^3 + 16*w^2 - w - 8]', '[3917, 3917, 2*w^5 - 3*w^4 - 8*w^3 + 10*w^2 + 6*w + 1]', '[3917, 3917, 3*w^5 - 16*w^3 - 2*w^2 + 14*w + 3]', '[3919, 3919, -w^5 + 2*w^4 + 5*w^3 - 9*w^2 - 8*w + 7]', '[3919, 3919, 3*w^5 - 3*w^4 - 14*w^3 + 11*w^2 + 8*w - 2]', '[3925, 785, -3*w^5 + 3*w^4 + 10*w^3 - 6*w^2 - 3*w - 1]', '[3929, 3929, -w^5 + 5*w^4 + 2*w^3 - 21*w^2 + 6*w + 10]', '[3929, 3929, 5*w^5 - 2*w^4 - 24*w^3 + 6*w^2 + 19*w + 2]', '[3937, 3937, 4*w^5 - 7*w^4 - 16*w^3 + 29*w^2 + 5*w - 12]', '[3937, 3937, -2*w^5 + 11*w^3 - 14*w + 2]', '[3953, 3953, -4*w^5 + 5*w^4 + 19*w^3 - 18*w^2 - 17*w + 5]', '[3953, 3953, -3*w^5 + 4*w^4 + 15*w^3 - 15*w^2 - 11*w + 4]', '[3959, 3959, -5*w^5 + 5*w^4 + 23*w^3 - 18*w^2 - 16*w + 6]', '[3959, 3959, -4*w^5 + 5*w^4 + 18*w^3 - 19*w^2 - 14*w + 7]', '[3983, 3983, w^5 + 2*w^4 - 6*w^3 - 11*w^2 + 9*w + 7]', '[3989, 3989, 3*w^5 - 17*w^3 - 2*w^2 + 21*w + 2]', '[3989, 3989, w^5 - w^4 - 7*w^3 + 6*w^2 + 10*w - 3]', '[3991, 3991, 3*w^5 - 3*w^4 - 12*w^3 + 10*w^2 + 4*w + 4]', '[3997, 3997, 2*w^5 - 2*w^4 - 9*w^3 + 8*w^2 + 9*w - 4]', '[4001, 4001, 2*w^5 + w^4 - 8*w^3 - 7*w^2 + 2*w + 6]', '[4003, 4003, -w^5 + 4*w^4 + 2*w^3 - 17*w^2 + 7*w + 11]', '[4007, 4007, -w^5 + 3*w^4 + w^3 - 12*w^2 + 8*w + 8]', '[4019, 4019, -3*w^5 + 4*w^4 + 12*w^3 - 17*w^2 - 3*w + 9]', '[4027, 4027, 2*w^5 - w^4 - 11*w^3 + 5*w^2 + 13*w - 3]', '[4039, 4039, w^5 - w^4 - 6*w^3 + 6*w^2 + 8*w - 1]', '[4039, 4039, -2*w^5 + 4*w^4 + 9*w^3 - 15*w^2 - 8*w + 2]', '[4043, 4043, 3*w^5 - 5*w^4 - 12*w^3 + 17*w^2 + 4*w + 1]', '[4049, 4049, w^5 - 7*w^3 + w^2 + 9*w - 5]', '[4051, 4051, -3*w^5 + 2*w^4 + 12*w^3 - 5*w^2 - 5*w - 2]', '[4051, 4051, -2*w^5 + 3*w^4 + 8*w^3 - 10*w^2 - 6*w]', '[4057, 4057, 4*w^5 - 6*w^4 - 18*w^3 + 23*w^2 + 11*w - 7]', '[4061, 4061, 3*w^3 + w^2 - 10*w - 1]', '[4061, 4061, -w^5 - w^4 + 4*w^3 + 7*w^2 - 8]', '[4061, 4061, 3*w^4 + w^3 - 12*w^2 - 3*w + 3]', '[4061, 4061, -6*w^5 + 4*w^4 + 28*w^3 - 13*w^2 - 21*w]', '[4067, 581, 5*w^5 - 5*w^4 - 22*w^3 + 18*w^2 + 12*w - 6]', '[4067, 4067, 5*w^5 - 4*w^4 - 21*w^3 + 12*w^2 + 9*w + 5]', '[4069, 4069, -2*w^5 - w^4 + 11*w^3 + 4*w^2 - 12*w - 2]', '[4073, 4073, -2*w^5 + 9*w^3 + 4*w^2 - 7*w - 6]', '[4075, 815, -w^5 + 5*w^3 + 2*w^2 - 9*w - 2]', '[4075, 815, w^5 - w^4 - 4*w^3 + w^2 + w + 3]', '[4075, 815, -w^5 + 5*w^4 + 3*w^3 - 18*w^2 - w + 7]', '[4079, 4079, 4*w^5 - 3*w^4 - 19*w^3 + 13*w^2 + 14*w - 4]', '[4079, 4079, -w^5 - w^4 + 4*w^3 + 7*w^2 - 4*w - 7]', '[4079, 4079, -4*w^5 + 4*w^4 + 17*w^3 - 17*w^2 - 8*w + 9]', '[4079, 4079, w^5 - 7*w^3 - 3*w^2 + 12*w + 7]', '[4087, 4087, -2*w^5 + 5*w^4 + 9*w^3 - 21*w^2 - 4*w + 9]', '[4087, 4087, -3*w^5 + 2*w^4 + 14*w^3 - 9*w^2 - 11*w + 9]', '[4091, 4091, w^5 - 2*w^4 - 3*w^3 + 5*w^2 - 3*w + 3]', '[4091, 4091, -3*w^5 + 5*w^4 + 12*w^3 - 20*w^2 - 3*w + 11]', '[4093, 4093, 2*w^5 - 5*w^4 - 8*w^3 + 21*w^2 + 2*w - 6]', '[4093, 4093, -w^5 + 3*w^4 + 3*w^3 - 9*w^2 + 2*w - 1]', '[4093, 4093, -w^5 + w^4 + 3*w^3 - 4*w^2 + 2*w - 3]', '[4093, 4093, w^5 + 2*w^4 - 5*w^3 - 11*w^2 + 6*w + 7]', '[4096, 4, -4]', '[4099, 4099, -2*w^5 + 3*w^4 + 10*w^3 - 10*w^2 - 12*w + 2]', '[4099, 4099, -2*w^4 + 3*w^3 + 8*w^2 - 7*w - 2]', '[4109, 4109, -2*w^5 + 2*w^4 + 9*w^3 - 7*w^2 - 6*w + 6]', '[4121, 4121, w^5 - w^4 - 6*w^3 + 5*w^2 + 11*w - 1]', '[4121, 4121, 3*w^5 - 6*w^4 - 13*w^3 + 23*w^2 + 7*w - 8]', '[4127, 4127, -2*w^4 + 10*w^2 + 2*w - 9]', '[4129, 4129, 2*w^5 - 3*w^4 - 10*w^3 + 13*w^2 + 8*w - 3]', '[4129, 4129, -2*w^5 + 11*w^3 - 10*w + 1]', '[4153, 4153, -2*w^5 + 3*w^4 + 7*w^3 - 13*w^2 - w + 9]', '[4153, 4153, 3*w^5 - 5*w^4 - 13*w^3 + 21*w^2 + 5*w - 11]', '[4157, 4157, -w^5 - w^4 + 7*w^3 + 2*w^2 - 10*w + 2]', '[4157, 4157, 4*w^5 - 3*w^4 - 18*w^3 + 12*w^2 + 12*w - 3]', '[4159, 4159, 4*w^5 - 2*w^4 - 19*w^3 + 7*w^2 + 12*w - 1]', '[4159, 4159, -2*w^5 + 4*w^4 + 7*w^3 - 16*w^2 - 2*w + 7]', '[4171, 4171, -2*w^4 + 3*w^3 + 9*w^2 - 10*w - 9]', '[4177, 4177, 3*w^5 - w^4 - 14*w^3 + 2*w^2 + 12*w - 2]', '[4181, 4181, 3*w^4 - 2*w^3 - 12*w^2 + 6*w + 7]', '[4193, 4193, w^5 + 3*w^4 - 5*w^3 - 13*w^2 + 5*w + 6]', '[4193, 4193, 2*w^5 - 3*w^4 - 10*w^3 + 12*w^2 + 11*w - 1]', '[4201, 4201, 2*w^5 - 2*w^4 - 7*w^3 + 9*w^2 - 2*w - 3]', '[4207, 4207, 3*w^5 - 14*w^3 - 3*w^2 + 9*w]', '[4217, 4217, 2*w^5 + w^4 - 12*w^3 - 6*w^2 + 15*w + 3]', '[4219, 4219, 2*w^4 - 2*w^3 - 9*w^2 + 3*w + 6]', '[4219, 4219, -4*w^5 + 5*w^4 + 18*w^3 - 17*w^2 - 12*w + 4]', '[4225, 845, 4*w^5 - 4*w^4 - 18*w^3 + 13*w^2 + 11*w - 1]', '[4229, 4229, -2*w^5 - w^4 + 10*w^3 + 3*w^2 - 8*w]', '[4229, 4229, w^5 + 2*w^4 - 8*w^3 - 7*w^2 + 13*w + 2]', '[4241, 4241, 4*w^5 - 2*w^4 - 17*w^3 + 7*w^2 + 9*w - 2]', '[4241, 4241, -2*w^5 + 3*w^4 + 10*w^3 - 11*w^2 - 7*w + 1]', '[4243, 4243, w^5 - 8*w^3 - w^2 + 13*w + 3]', '[4249, 4249, -3*w^4 - w^3 + 12*w^2 + 5*w - 5]', '[4253, 4253, 3*w^5 - 15*w^3 - w^2 + 12*w + 5]', '[4253, 4253, -w^5 + 4*w^4 + 3*w^3 - 17*w^2 - w + 10]', '[4253, 4253, -4*w^4 + 2*w^3 + 17*w^2 - 7*w - 7]', '[4277, 4277, w^5 - w^4 - 4*w^3 + w^2 + 5]', '[4283, 4283, 2*w^5 - 3*w^4 - 11*w^3 + 13*w^2 + 12*w - 6]', '[4283, 4283, 3*w^5 - 2*w^4 - 16*w^3 + 8*w^2 + 17*w - 1]', '[4288, 134, -4*w^5 + 2*w^4 + 18*w^3 - 6*w^2 - 14*w]', '[4288, 134, 4*w^5 - 2*w^4 - 20*w^3 + 8*w^2 + 18*w - 2]', '[4289, 4289, 5*w^5 - 3*w^4 - 24*w^3 + 10*w^2 + 21*w - 2]', '[4291, 4291, -2*w^5 - w^4 + 9*w^3 + 6*w^2 - 8*w - 2]', '[4291, 4291, -4*w^5 + 4*w^4 + 17*w^3 - 13*w^2 - 10*w + 4]', '[4303, 4303, 3*w^5 - 2*w^4 - 13*w^3 + 7*w^2 + 7*w + 4]', '[4303, 4303, -w^5 + w^4 + 5*w^3 - 5*w^2 - 8*w + 1]', '[4303, 4303, -6*w^5 + 6*w^4 + 27*w^3 - 20*w^2 - 16*w + 1]', '[4307, 4307, -3*w^4 + 14*w^2 - w - 7]', '[4307, 4307, -3*w^5 + w^4 + 15*w^3 - 3*w^2 - 13*w + 4]', '[4319, 4319, 3*w^5 - 2*w^4 - 14*w^3 + 8*w^2 + 6*w - 4]', '[4325, 865, -w^5 + 3*w^3 + 2*w^2 - w + 2]', '[4325, 865, -4*w^5 + 4*w^4 + 16*w^3 - 13*w^2 - 8*w + 5]', '[4327, 4327, -w^4 - w^3 + 2*w^2 + 4*w + 4]', '[4327, 4327, 3*w^5 - 2*w^4 - 16*w^3 + 9*w^2 + 17*w - 5]', '[4337, 4337, 3*w^5 - w^4 - 12*w^3 + 2*w^2 + 5*w + 2]', '[4337, 4337, w^5 - 2*w^4 - 6*w^3 + 6*w^2 + 8*w - 2]', '[4343, 4343, -w^4 - 2*w^3 + 5*w^2 + 6*w - 3]', '[4343, 4343, w^4 - w^3 - 6*w^2 + w + 7]', '[4349, 4349, -4*w^5 + 2*w^4 + 19*w^3 - 7*w^2 - 13*w - 2]', '[4357, 4357, -2*w^5 + 2*w^4 + 9*w^3 - 9*w^2 - 7*w + 9]', '[4357, 4357, -w^5 + 4*w^3 + 3*w^2 - 3*w - 8]', '[4357, 4357, -5*w^5 + 5*w^4 + 21*w^3 - 19*w^2 - 10*w + 7]', '[4373, 4373, w^5 - 3*w^4 - 3*w^3 + 14*w^2 - w - 5]', '[4373, 4373, 4*w^5 - 3*w^4 - 17*w^3 + 9*w^2 + 10*w - 2]', '[4375, 35, 2*w^5 - 8*w^3 + w^2 + w - 2]', '[4375, 175, 2*w^5 - w^4 - 11*w^3 + 3*w^2 + 12*w - 3]', '[4397, 4397, 2*w^5 - 12*w^3 + 15*w - 3]', '[4399, 4399, w^5 - 2*w^4 - w^3 + 7*w^2 - 7*w - 2]', '[4409, 4409, -3*w^5 + 4*w^4 + 14*w^3 - 15*w^2 - 8*w + 2]', '[4409, 4409, 5*w^5 - 3*w^4 - 23*w^3 + 10*w^2 + 18*w - 2]', '[4417, 4417, -w^3 + 2*w^2 - w - 4]', '[4421, 4421, 2*w^5 - w^4 - 9*w^3 + 4*w^2 + 4*w + 3]', '[4421, 4421, -3*w^5 + 3*w^4 + 14*w^3 - 10*w^2 - 13*w]', '[4423, 4423, -w^4 + 3*w^3 + 4*w^2 - 11*w + 1]', '[4447, 4447, -2*w^5 + w^4 + 12*w^3 - 3*w^2 - 14*w + 1]', '[4453, 4453, 3*w^5 - 5*w^4 - 14*w^3 + 19*w^2 + 12*w - 7]', '[4453, 4453, w^5 - 7*w^3 + w^2 + 8*w - 3]', '[4457, 4457, 2*w^4 - 2*w^3 - 9*w^2 + 3*w + 4]', '[4457, 4457, -4*w^4 + 2*w^3 + 18*w^2 - 7*w - 9]', '[4459, 91, -2*w^5 + 4*w^4 + 10*w^3 - 16*w^2 - 11*w + 8]', '[4459, 91, -2*w^5 - 2*w^4 + 11*w^3 + 11*w^2 - 13*w - 10]', '[4459, 4459, 2*w^5 - w^4 - 11*w^3 + 2*w^2 + 11*w + 6]', '[4463, 4463, -5*w^5 + 5*w^4 + 21*w^3 - 17*w^2 - 10*w + 2]', '[4475, 895, w^5 + w^4 - 6*w^3 - 7*w^2 + 5*w + 7]', '[4477, 407, -4*w^5 + 2*w^4 + 19*w^3 - 8*w^2 - 14*w + 2]', '[4481, 4481, -4*w^5 + 4*w^4 + 18*w^3 - 16*w^2 - 11*w + 3]', '[4481, 4481, 3*w^5 - 5*w^4 - 14*w^3 + 20*w^2 + 10*w - 7]', '[4487, 4487, 4*w^5 - w^4 - 20*w^3 + 3*w^2 + 18*w + 1]', '[4489, 67, -4*w^5 + 6*w^4 + 17*w^3 - 24*w^2 - 10*w + 8]', '[4489, 4489, 2*w^5 - 11*w^3 - 3*w^2 + 14*w + 3]', '[4489, 4489, -2*w^5 + 3*w^4 + 6*w^3 - 12*w^2 + 2*w + 5]', '[4507, 4507, 4*w^5 - 4*w^4 - 16*w^3 + 16*w^2 + 5*w - 8]', '[4511, 4511, w^5 - 2*w^4 - 3*w^3 + 8*w^2 - 3*w - 7]', '[4513, 4513, -4*w^5 + 2*w^4 + 19*w^3 - 7*w^2 - 12*w + 2]', '[4517, 4517, -w^5 + 3*w^4 + 4*w^3 - 12*w^2 - 4*w + 2]', '[4519, 4519, -w^5 + 4*w^3 + 3*w^2 + w - 5]', '[4523, 4523, 3*w^5 + w^4 - 16*w^3 - 5*w^2 + 16*w + 2]', '[4523, 4523, 3*w^5 - 5*w^4 - 11*w^3 + 20*w^2 + 3*w - 8]', '[4537, 4537, -4*w^5 + 3*w^4 + 19*w^3 - 12*w^2 - 16*w + 2]', '[4537, 4537, w^5 + 3*w^4 - 9*w^3 - 13*w^2 + 16*w + 7]', '[4547, 4547, 2*w^5 - 3*w^4 - 11*w^3 + 12*w^2 + 11*w - 3]', '[4549, 4549, 4*w^5 - w^4 - 20*w^3 + 2*w^2 + 16*w]', '[4549, 4549, 2*w^5 - w^4 - 10*w^3 + 3*w^2 + 9*w - 5]', '[4559, 4559, -5*w^5 + 4*w^4 + 23*w^3 - 15*w^2 - 14*w + 3]', '[4567, 4567, w^5 - 4*w^4 - 4*w^3 + 15*w^2 + 4*w - 4]', '[4583, 4583, 2*w^5 - w^4 - 8*w^3 + w^2 + 5*w + 4]', '[4591, 4591, -4*w^4 + 3*w^3 + 18*w^2 - 10*w - 9]', '[4597, 4597, 3*w^5 - w^4 - 16*w^3 + 3*w^2 + 19*w + 1]', '[4601, 4601, -w^5 + 2*w^4 + 3*w^3 - 9*w^2 + 4*w + 8]', '[4601, 4601, w^5 + 3*w^4 - 7*w^3 - 15*w^2 + 10*w + 10]', '[4603, 4603, w^5 - 2*w^4 - 7*w^3 + 8*w^2 + 10*w - 1]', '[4613, 4613, -3*w^5 + 3*w^4 + 12*w^3 - 10*w^2 - 4*w + 5]', '[4619, 4619, w^5 + w^4 - 3*w^3 - 5*w^2 - w + 6]', '[4619, 4619, 5*w^5 - 6*w^4 - 22*w^3 + 22*w^2 + 11*w - 9]', '[4627, 4627, -w^5 + 2*w^4 + 2*w^3 - 8*w^2 + 5*w + 8]', '[4639, 4639, 4*w^5 - 2*w^4 - 20*w^3 + 8*w^2 + 18*w - 5]', '[4639, 4639, w^5 + w^4 - 8*w^3 - 5*w^2 + 13*w + 2]', '[4649, 4649, -2*w^5 + w^4 + 8*w^3 - w^2 - w - 3]', '[4649, 4649, 5*w^5 - 5*w^4 - 24*w^3 + 18*w^2 + 18*w - 5]', '[4649, 4649, w^5 - 2*w^4 - 5*w^3 + 9*w^2 + w - 6]', '[4651, 4651, -3*w^5 + 2*w^4 + 16*w^3 - 6*w^2 - 16*w + 2]', '[4651, 4651, -w^4 + w^3 + 5*w^2 - 3*w - 8]', '[4657, 4657, 2*w^5 - 3*w^4 - 11*w^3 + 12*w^2 + 13*w - 7]', '[4667, 4667, w^5 - 3*w^3 - 2*w^2 + 6]', '[4667, 4667, 3*w^5 - 3*w^4 - 14*w^3 + 10*w^2 + 10*w + 4]', '[4672, 146, 2*w^5 - 2*w^4 - 8*w^3 + 10*w^2 + 2*w - 6]', '[4672, 146, 6*w^5 - 6*w^4 - 26*w^3 + 22*w^2 + 14*w - 6]', '[4673, 4673, 3*w^5 - 5*w^4 - 14*w^3 + 19*w^2 + 12*w - 6]', '[4681, 4681, -2*w^5 + w^4 + 11*w^3 - 3*w^2 - 10*w + 2]', '[4681, 4681, w^5 - 5*w^4 - 4*w^3 + 20*w^2 + 2*w - 9]', '[4691, 4691, 2*w^5 + w^4 - 10*w^3 - 7*w^2 + 11*w + 7]', '[4699, 4699, 3*w^5 - 3*w^4 - 14*w^3 + 10*w^2 + 13*w - 6]', '[4703, 4703, 5*w^5 - 5*w^4 - 22*w^3 + 18*w^2 + 13*w - 7]', '[4721, 4721, -5*w^5 + 2*w^4 + 24*w^3 - 7*w^2 - 19*w + 2]', '[4723, 4723, -4*w^5 + 3*w^4 + 19*w^3 - 11*w^2 - 15*w - 1]', '[4733, 4733, -2*w^4 - w^3 + 11*w^2 + 4*w - 9]', '[4739, 4739, -3*w^5 - w^4 + 16*w^3 + 5*w^2 - 16*w - 4]', '[4747, 4747, w^5 - w^4 - 7*w^3 + 5*w^2 + 10*w - 4]', '[4747, 4747, w^5 - 4*w^3 - w^2 - 2*w + 4]', '[4751, 4751, -4*w^5 + 3*w^4 + 17*w^3 - 12*w^2 - 7*w + 4]', '[4751, 4751, 2*w^5 - 8*w^3 - w^2 + 3*w + 5]', '[4753, 679, -3*w^5 + 4*w^4 + 14*w^3 - 15*w^2 - 14*w + 8]', '[4753, 4753, w^5 - 4*w^4 - w^3 + 18*w^2 - 10*w - 11]', '[4759, 4759, 3*w^5 - 4*w^4 - 12*w^3 + 14*w^2 + 4*w - 6]', '[4759, 4759, w^5 - 3*w^4 - 5*w^3 + 12*w^2 + 5*w - 9]', '[4775, 955, -2*w^5 + 3*w^4 + 8*w^3 - 11*w^2 + w - 1]', '[4781, 4781, 5*w^5 - 2*w^4 - 22*w^3 + 4*w^2 + 14*w]', '[4781, 4781, -2*w^5 + 3*w^4 + 8*w^3 - 10*w^2 - 6*w + 1]', '[4787, 4787, -4*w^4 + 2*w^3 + 17*w^2 - 4*w - 9]', '[4789, 4789, -3*w^5 + w^4 + 15*w^3 - 5*w^2 - 14*w + 2]', '[4793, 4793, -3*w^5 + 2*w^4 + 14*w^3 - 6*w^2 - 12*w + 4]', '[4799, 4799, -5*w^5 + 5*w^4 + 22*w^3 - 19*w^2 - 15*w + 7]', '[4801, 4801, 2*w^5 - 4*w^4 - 8*w^3 + 18*w^2 + 2*w - 7]', '[4813, 4813, -w^5 + w^4 + 2*w^3 - 5*w^2 + 7*w + 4]', '[4823, 4823, -7*w^5 + 5*w^4 + 34*w^3 - 16*w^2 - 29*w + 2]', '[4825, 965, -3*w^5 + 3*w^4 + 13*w^3 - 9*w^2 - 8*w + 2]', '[4831, 4831, 4*w^5 - 2*w^4 - 18*w^3 + 5*w^2 + 14*w + 2]', '[4847, 4847, 5*w^5 - 4*w^4 - 23*w^3 + 13*w^2 + 17*w - 3]', '[4847, 4847, -w^5 + w^4 + 4*w^3 - 2*w^2 + w - 4]', '[4849, 4849, 2*w^5 - 7*w^3 - w + 3]', '[4859, 4859, -5*w^5 + 3*w^4 + 23*w^3 - 10*w^2 - 16*w - 1]', '[4867, 4867, 4*w^5 - 4*w^4 - 17*w^3 + 15*w^2 + 5*w - 3]', '[4867, 4867, 3*w^5 - 2*w^4 - 13*w^3 + 7*w^2 + 5*w + 2]', '[4871, 4871, -4*w^5 + 5*w^4 + 16*w^3 - 19*w^2 - 7*w + 9]', '[4871, 4871, w^4 - 3*w^3 - 6*w^2 + 9*w + 7]', '[4891, 4891, w^5 - 2*w^4 - 7*w^3 + 8*w^2 + 12*w - 4]', '[4891, 4891, 4*w^5 - 3*w^4 - 17*w^3 + 12*w^2 + 8*w - 4]', '[4891, 4891, 5*w^5 - 5*w^4 - 21*w^3 + 18*w^2 + 10*w - 6]', '[4891, 4891, w^5 + 2*w^4 - 8*w^3 - 9*w^2 + 12*w + 4]', '[4897, 4897, -3*w^5 + 2*w^4 + 13*w^3 - 4*w^2 - 8*w - 4]', '[4903, 4903, -w^5 + 3*w^4 + 5*w^3 - 13*w^2 - 6*w + 10]', '[4907, 4907, w^5 - 4*w^3 + w^2 - w - 6]', '[4907, 4907, -w^5 - 2*w^4 + 5*w^3 + 12*w^2 - 4*w - 9]', '[4909, 4909, -w^5 + 5*w^4 + 2*w^3 - 21*w^2 + 5*w + 11]', '[4919, 4919, 4*w^5 - 2*w^4 - 19*w^3 + 8*w^2 + 16*w - 5]', '[4919, 4919, 2*w^5 - w^4 - 8*w^3 + w^2 + 5*w + 5]', '[4931, 4931, -w^5 + 4*w^4 + 4*w^3 - 16*w^2 + w + 7]', '[4937, 4937, -2*w^5 + 5*w^4 + 8*w^3 - 22*w^2 - 3*w + 11]', '[4937, 4937, -3*w^5 + 4*w^4 + 14*w^3 - 16*w^2 - 11*w + 4]', '[4949, 707, 5*w^5 - 7*w^4 - 22*w^3 + 26*w^2 + 14*w - 12]', '[4949, 707, -4*w^5 + 4*w^4 + 18*w^3 - 18*w^2 - 9*w + 9]', '[4949, 4949, w^4 - 2*w^3 - 3*w^2 + 9*w - 2]', '[4949, 4949, w^5 - 3*w^3 - 2*w^2 - w + 7]', '[4963, 4963, 3*w^5 - 3*w^4 - 16*w^3 + 12*w^2 + 15*w - 2]', '[4967, 4967, 3*w^5 - 2*w^4 - 14*w^3 + 6*w^2 + 8*w + 4]', '[4969, 4969, -3*w^5 + 5*w^4 + 13*w^3 - 19*w^2 - 10*w + 7]', '[4969, 4969, -3*w^4 + w^3 + 14*w^2 - 5*w - 6]', '[4969, 4969, -4*w^5 + 7*w^4 + 17*w^3 - 27*w^2 - 9*w + 9]', '[4973, 4973, -w^5 - 2*w^4 + 8*w^3 + 10*w^2 - 13*w - 8]', '[4975, 995, -2*w^5 + 10*w^3 + w^2 - 11*w]', '[4979, 4979, -4*w^4 + 3*w^3 + 18*w^2 - 11*w - 10]', '[4987, 4987, 2*w^5 - 4*w^4 - 9*w^3 + 14*w^2 + 7*w - 5]', '[4987, 4987, -2*w^4 + 3*w^3 + 9*w^2 - 7*w - 7]', '[4993, 4993, 3*w^5 - 4*w^4 - 14*w^3 + 16*w^2 + 8*w - 3]', '[4999, 4999, w^5 - 4*w^3 + w^2 + 4*w - 4]', '[5011, 5011, 2*w^5 - 3*w^4 - 7*w^3 + 14*w^2 - w - 7]', '[5011, 5011, 2*w^5 + w^4 - 10*w^3 - 3*w^2 + 9*w + 1]', '[5029, 5029, 3*w^5 - 6*w^4 - 13*w^3 + 23*w^2 + 8*w - 6]', '[5029, 5029, 5*w^5 - 4*w^4 - 22*w^3 + 14*w^2 + 13*w - 4]', '[5033, 5033, 5*w^5 - w^4 - 24*w^3 + 2*w^2 + 17*w + 3]', '[5033, 5033, -5*w^5 + 2*w^4 + 24*w^3 - 4*w^2 - 19*w - 1]', '[5041, 71, -4*w^5 + 4*w^4 + 16*w^3 - 14*w^2 - 7*w + 5]', '[5051, 5051, -2*w^5 + 2*w^4 + 8*w^3 - 8*w^2 + w + 3]', '[5053, 5053, 2*w^5 - 6*w^4 - 9*w^3 + 24*w^2 + 4*w - 10]', '[5053, 5053, 2*w^5 + w^4 - 12*w^3 - 4*w^2 + 17*w + 4]', '[5053, 5053, -w^5 + w^4 + 5*w^3 - w^2 - 2*w - 5]', '[5053, 5053, -4*w^5 + 3*w^4 + 20*w^3 - 11*w^2 - 17*w + 10]', '[5053, 5053, -2*w^5 + 3*w^4 + 6*w^3 - 12*w^2 + 3*w + 5]', '[5053, 5053, -5*w^5 + 5*w^4 + 21*w^3 - 20*w^2 - 10*w + 7]', '[5057, 5057, 3*w^5 - 3*w^4 - 15*w^3 + 8*w^2 + 12*w + 1]', '[5059, 5059, -w^4 + 3*w^3 + 4*w^2 - 8*w - 5]', '[5059, 5059, 3*w^5 - 4*w^4 - 15*w^3 + 15*w^2 + 15*w - 6]', '[5063, 5063, -3*w^5 + 5*w^4 + 13*w^3 - 18*w^2 - 9*w + 7]', '[5087, 5087, -3*w^5 + 5*w^4 + 13*w^3 - 20*w^2 - 9*w + 6]', '[5087, 5087, -2*w^5 + 9*w^3 - 6*w + 4]', '[5089, 5089, 2*w^5 + 2*w^4 - 10*w^3 - 10*w^2 + 10*w + 5]', '[5099, 5099, -w^5 - w^4 + 3*w^3 + 6*w^2 + 2*w - 6]', '[5101, 5101, 3*w^5 - w^4 - 16*w^3 + 2*w^2 + 15*w]', '[5103, 21, -3*w^5 + 15*w^3 - 12*w]', '[5107, 5107, -5*w^5 + 5*w^4 + 21*w^3 - 17*w^2 - 9*w + 3]', '[5107, 5107, -w^4 + w^3 + 7*w^2 - 4*w - 4]', '[5113, 5113, -3*w^5 - w^4 + 16*w^3 + 5*w^2 - 17*w - 4]', '[5119, 5119, -w^5 - w^4 + 5*w^3 + 3*w^2 - 6*w + 3]', '[5119, 5119, -2*w^5 + 4*w^4 + 9*w^3 - 14*w^2 - 6*w + 4]', '[5141, 5141, 3*w^4 - 3*w^3 - 12*w^2 + 11*w + 7]', '[5147, 5147, 4*w^5 - 5*w^4 - 19*w^3 + 20*w^2 + 15*w - 6]', '[5147, 5147, w^5 - 5*w^3 + 2*w^2 + 4*w - 5]', '[5153, 5153, 3*w^5 - 3*w^4 - 15*w^3 + 10*w^2 + 11*w - 2]', '[5153, 5153, -4*w^5 + 5*w^4 + 17*w^3 - 19*w^2 - 11*w + 7]', '[5161, 5161, -w^5 + w^4 + 5*w^3 - 6*w^2 - 8*w + 4]', '[5161, 5161, w^5 - 4*w^4 - 4*w^3 + 16*w^2 - 2*w - 5]', '[5167, 5167, -w^5 + 8*w^3 - 13*w + 1]', '[5171, 5171, 5*w^5 - 4*w^4 - 22*w^3 + 13*w^2 + 14*w - 3]', '[5179, 5179, 2*w^5 - 2*w^4 - 9*w^3 + 9*w^2 + 4*w - 9]', '[5197, 5197, -2*w^5 + 2*w^4 + 10*w^3 - 9*w^2 - 8*w + 1]', '[5201, 5201, w^5 - 2*w^4 - 2*w^3 + 8*w^2 - 4*w - 6]', '[5201, 5201, -w^5 + 2*w^3 - w^2 + 5*w + 5]', '[5203, 473, 3*w^5 + 2*w^4 - 15*w^3 - 10*w^2 + 13*w + 8]', '[5209, 5209, -w^5 - w^4 + 6*w^3 + 7*w^2 - 7*w - 4]', '[5227, 5227, -w^5 + 4*w^4 + 3*w^3 - 18*w^2 + 3*w + 8]', '[5231, 5231, -3*w^5 + 2*w^4 + 15*w^3 - 8*w^2 - 10*w + 3]', '[5231, 5231, -w^5 - 2*w^4 + 7*w^3 + 10*w^2 - 9*w - 6]', '[5231, 5231, 4*w^5 - 2*w^4 - 19*w^3 + 5*w^2 + 15*w - 1]', '[5233, 5233, -w^5 - w^4 + 4*w^3 + 7*w^2 - 3*w - 7]', '[5233, 5233, -w^5 + w^4 + 3*w^3 - 4*w^2 - w + 5]', '[5239, 5239, -3*w^5 + 16*w^3 + w^2 - 15*w - 1]', '[5239, 5239, w^4 - w^3 - 5*w^2 + 5]', '[5243, 749, 3*w^5 - 4*w^4 - 15*w^3 + 18*w^2 + 14*w - 10]', '[5243, 749, 4*w^5 - 3*w^4 - 20*w^3 + 12*w^2 + 17*w - 8]', '[5243, 5243, -w^5 + 6*w^4 + w^3 - 25*w^2 + 9*w + 12]', '[5243, 5243, -2*w^5 + 4*w^4 + 6*w^3 - 17*w^2 + 4*w + 10]', '[5273, 5273, -2*w^5 + 2*w^4 + 12*w^3 - 7*w^2 - 16*w]', '[5275, 1055, 2*w^5 - 3*w^4 - 5*w^3 + 7*w^2 - 2*w - 3]', '[5275, 1055, w^5 - 2*w^3 - 2*w^2 - 3*w + 1]', '[5275, 1055, w^4 - w^3 - 5*w^2 + 6*w + 5]', '[5281, 5281, -4*w^5 + 7*w^4 + 17*w^3 - 27*w^2 - 9*w + 10]', '[5281, 5281, 3*w^5 - 4*w^4 - 11*w^3 + 16*w^2 + 2*w - 7]', '[5311, 5311, 2*w^5 - 4*w^4 - 6*w^3 + 15*w^2 - 5*w - 6]', '[5312, 166, -4*w^5 + 6*w^4 + 18*w^3 - 22*w^2 - 12*w + 4]', '[5317, 5317, -w^5 + w^4 + 8*w^3 - 2*w^2 - 15*w - 3]', '[5323, 5323, -2*w^5 - w^4 + 12*w^3 + 4*w^2 - 13*w - 2]', '[5323, 5323, 3*w^4 - 3*w^3 - 14*w^2 + 10*w + 7]', '[5329, 73, 4*w^5 - 4*w^4 - 17*w^3 + 14*w^2 + 11*w - 4]', '[5329, 5329, -5*w^5 + 4*w^4 + 23*w^3 - 15*w^2 - 14*w + 5]', '[5329, 5329, 2*w^5 - 11*w^3 - w^2 + 10*w - 1]', '[5333, 5333, -5*w^5 + 5*w^4 + 22*w^3 - 19*w^2 - 15*w + 8]', '[5353, 5353, -2*w^5 + 5*w^4 + 9*w^3 - 20*w^2 - 6*w + 6]', '[5353, 5353, 3*w^5 - 3*w^4 - 14*w^3 + 9*w^2 + 9*w - 1]', '[5363, 5363, -2*w^5 + 5*w^4 + 8*w^3 - 20*w^2 - 5*w + 7]', '[5363, 5363, -2*w^5 + 4*w^4 + 10*w^3 - 18*w^2 - 12*w + 13]', '[5363, 5363, w^4 - 2*w^2 - w - 4]', '[5363, 5363, 5*w^5 - 5*w^4 - 22*w^3 + 20*w^2 + 12*w - 8]', '[5369, 5369, 5*w^5 - 6*w^4 - 25*w^3 + 24*w^2 + 25*w - 11]', '[5381, 5381, 2*w^5 - 5*w^4 - 6*w^3 + 19*w^2 - 4*w - 8]', '[5383, 5383, w^5 + 3*w^4 - 6*w^3 - 12*w^2 + 7*w + 5]', '[5383, 5383, -w^5 - 3*w^4 + 6*w^3 + 14*w^2 - 8*w - 8]', '[5387, 5387, 4*w^4 - 2*w^3 - 18*w^2 + 7*w + 11]', '[5393, 5393, -3*w^5 + 2*w^4 + 15*w^3 - 7*w^2 - 14*w + 5]', '[5393, 5393, 4*w^5 - 4*w^4 - 18*w^3 + 15*w^2 + 12*w - 1]', '[5393, 5393, w^5 - 2*w^4 - 2*w^3 + 9*w^2 - 5*w - 9]', '[5399, 5399, -2*w^5 + 2*w^4 + 10*w^3 - 8*w^2 - 9*w + 8]', '[5407, 5407, 3*w^5 - 3*w^4 - 15*w^3 + 10*w^2 + 16*w - 3]', '[5407, 5407, 2*w^5 - w^4 - 9*w^3 + 3*w^2 + 4*w + 5]', '[5407, 5407, 4*w^5 - 4*w^4 - 17*w^3 + 16*w^2 + 8*w - 4]', '[5413, 5413, w^5 - 7*w^3 + 9*w - 2]', '[5413, 5413, 3*w^5 - 5*w^4 - 14*w^3 + 19*w^2 + 9*w - 6]', '[5417, 5417, -3*w^5 + w^4 + 14*w^3 - 4*w^2 - 12*w + 3]', '[5425, 1085, -5*w^5 + 4*w^4 + 23*w^3 - 15*w^2 - 14*w + 6]', '[5425, 1085, -2*w^5 - w^4 + 10*w^3 + 6*w^2 - 8*w - 8]', '[5431, 5431, -2*w^5 + 6*w^4 + 7*w^3 - 25*w^2 + 13]', '[5437, 5437, w^5 - 2*w^4 - 3*w^3 + 10*w^2 - 4*w - 6]', '[5449, 5449, -2*w^5 + 5*w^4 + 8*w^3 - 22*w^2 - w + 11]', '[5461, 5461, -w^5 + 4*w^3 + 3*w^2 - w - 6]', '[5471, 5471, 4*w^5 - w^4 - 19*w^3 + 2*w^2 + 16*w + 1]', '[5473, 5473, -2*w^5 - w^4 + 13*w^3 + 7*w^2 - 16*w - 6]', '[5477, 5477, 2*w^5 - 2*w^4 - 8*w^3 + 5*w^2 + 4*w + 5]', '[5501, 5501, -2*w^5 + 3*w^4 + 7*w^3 - 13*w^2 + 3*w + 6]', '[5509, 5509, -2*w^5 - w^4 + 11*w^3 + 4*w^2 - 7*w - 4]', '[5513, 5513, w^5 - 2*w^4 - 5*w^3 + 11*w^2 + 5*w - 8]', '[5519, 5519, -w^5 + 7*w^3 - w^2 - 11*w - 2]', '[5527, 5527, 5*w^5 - 4*w^4 - 24*w^3 + 16*w^2 + 18*w - 5]', '[5537, 791, -w^5 + 3*w^3 + 2*w^2 + w - 5]', '[5537, 5537, -6*w^5 + 7*w^4 + 26*w^3 - 24*w^2 - 13*w + 2]', '[5549, 5549, -w^5 - w^4 + 7*w^3 + 9*w^2 - 8*w - 11]', '[5549, 5549, -7*w^5 + 5*w^4 + 31*w^3 - 20*w^2 - 20*w + 9]', '[5551, 5551, -3*w^5 + 14*w^3 + 4*w^2 - 10*w - 6]', '[5561, 5561, -2*w^5 + 4*w^4 + 9*w^3 - 15*w^2 - 9*w + 4]', '[5561, 5561, 3*w^5 - 3*w^4 - 13*w^3 + 13*w^2 + 7*w - 3]', '[5563, 5563, -4*w^5 + 5*w^4 + 19*w^3 - 18*w^2 - 14*w + 3]', '[5569, 5569, -5*w^5 + 3*w^4 + 24*w^3 - 11*w^2 - 18*w + 2]', '[5573, 5573, 3*w^5 - 6*w^4 - 13*w^3 + 23*w^2 + 6*w - 7]', '[5575, 1115, 3*w^5 - 4*w^4 - 12*w^3 + 10*w^2 + 8*w]', '[5579, 5579, -2*w^5 + w^4 + 7*w^3 - 2*w^2 + 5]', '[5587, 5587, 3*w^5 - w^4 - 15*w^3 + 6*w^2 + 11*w - 4]', '[5591, 5591, 3*w^5 + w^4 - 15*w^3 - 6*w^2 + 14*w + 3]', '[5603, 5603, -3*w^5 + 5*w^4 + 13*w^3 - 18*w^2 - 8*w + 6]', '[5629, 5629, -w^4 + 2*w^3 + 5*w^2 - 9*w - 7]', '[5629, 5629, 2*w^5 + w^4 - 9*w^3 - 7*w^2 + 7*w + 7]', '[5633, 5633, w^5 + 2*w^4 - 8*w^3 - 9*w^2 + 13*w + 2]', '[5633, 5633, -3*w^5 - 2*w^4 + 16*w^3 + 12*w^2 - 16*w - 10]', '[5639, 5639, 2*w^5 - 2*w^4 - 9*w^3 + 9*w^2 + 6*w - 1]', '[5641, 5641, -3*w^5 + 2*w^4 + 14*w^3 - 6*w^2 - 11*w + 4]', '[5671, 5671, -w^5 + 2*w^4 + 4*w^3 - 10*w^2 - 4*w + 8]', '[5671, 5671, -w^4 - w^3 + 7*w^2 + 4*w - 9]', '[5675, 1135, 3*w^5 - w^4 - 15*w^3 + 5*w^2 + 11*w]', '[5675, 1135, -3*w^5 + 3*w^4 + 14*w^3 - 12*w^2 - 5*w + 4]', '[5687, 517, w^5 - 3*w^4 - 5*w^3 + 13*w^2 + 6*w - 3]', '[5689, 5689, 3*w^5 - 6*w^4 - 12*w^3 + 23*w^2 + 6*w - 7]', '[5693, 5693, -3*w^5 + w^4 + 15*w^3 - 5*w^2 - 12*w + 3]', '[5693, 5693, -2*w^4 + 3*w^3 + 7*w^2 - 9*w - 5]', '[5701, 5701, -w^5 - w^4 + 8*w^3 + 3*w^2 - 14*w - 1]', '[5707, 5707, -3*w^5 + 4*w^4 + 10*w^3 - 17*w^2 + 2*w + 8]', '[5707, 5707, -w^4 + 7*w^2 + 2*w - 7]', '[5707, 5707, 2*w^5 - w^4 - 10*w^3 + 4*w^2 + 12*w - 3]', '[5717, 5717, 4*w^5 - w^4 - 20*w^3 + 2*w^2 + 19*w + 1]', '[5717, 5717, 4*w^4 - w^3 - 17*w^2 + 4*w + 9]', '[5723, 5723, -2*w^5 - 2*w^4 + 12*w^3 + 9*w^2 - 15*w - 7]', '[5725, 1145, -2*w^5 + 3*w^4 + 9*w^3 - 13*w^2 - 5*w + 3]', '[5737, 5737, 2*w^5 - w^4 - 10*w^3 + 6*w^2 + 8*w - 7]', '[5737, 5737, -3*w^5 + 4*w^4 + 14*w^3 - 18*w^2 - 10*w + 8]', '[5737, 5737, w^5 - 3*w^3 - 3*w^2 + 5]', '[5737, 5737, -2*w^5 - w^4 + 10*w^3 + 4*w^2 - 11*w - 1]', '[5741, 5741, 4*w^5 - 3*w^4 - 20*w^3 + 12*w^2 + 16*w - 6]', '[5743, 5743, -2*w^4 + 2*w^3 + 7*w^2 - 4*w + 1]', '[5749, 5749, -w^5 - 2*w^4 + 7*w^3 + 11*w^2 - 12*w - 8]', '[5749, 5749, w^5 - 4*w^4 - 3*w^3 + 15*w^2 - 7]', '[5779, 5779, -4*w^5 + 5*w^4 + 19*w^3 - 19*w^2 - 13*w + 5]', '[5789, 5789, w^5 - 4*w^4 - 6*w^3 + 18*w^2 + 9*w - 6]', '[5791, 5791, -3*w^5 + 2*w^4 + 13*w^3 - 5*w^2 - 5*w - 4]', '[5801, 5801, -w^5 + 4*w^3 + 3*w^2 - w - 5]', '[5807, 5807, -2*w^5 + 4*w^4 + 9*w^3 - 16*w^2 - 6*w + 2]', '[5809, 5809, -w^5 - w^4 + 7*w^3 + w^2 - 3*w - 3]', '[5813, 5813, -4*w^4 + 3*w^3 + 16*w^2 - 10*w - 7]', '[5813, 5813, w^5 - 2*w^4 - 2*w^3 + 10*w^2 - 6*w - 5]', '[5821, 5821, 3*w^5 - 3*w^4 - 14*w^3 + 13*w^2 + 9*w - 3]', '[5821, 5821, -3*w^5 + w^4 + 16*w^3 - 4*w^2 - 18*w]', '[5821, 5821, -2*w^3 + w^2 + 9*w - 3]', '[5821, 5821, -w^5 - 3*w^4 + 7*w^3 + 14*w^2 - 12*w - 9]', '[5824, 182, -4*w^5 + 2*w^4 + 20*w^3 - 6*w^2 - 18*w + 2]', '[5825, 1165, 3*w^5 - 3*w^4 - 16*w^3 + 13*w^2 + 14*w - 3]', '[5825, 1165, w^5 - w^4 - 3*w^3 + 6*w^2 - 3*w - 4]', '[5825, 1165, 3*w^5 - 2*w^4 - 14*w^3 + 7*w^2 + 7*w - 1]', '[5827, 5827, w^5 - 3*w^4 - 3*w^3 + 14*w^2 - w - 6]', '[5839, 5839, -w^5 - 2*w^4 + 5*w^3 + 8*w^2 - 3*w - 6]', '[5851, 5851, 2*w^5 - 2*w^4 - 8*w^3 + 8*w^2 + 5*w - 7]', '[5857, 5857, w^5 - 3*w^4 - 5*w^3 + 15*w^2 + 5*w - 11]', '[5861, 5861, w^5 - 4*w^4 - 3*w^3 + 16*w^2 - 4*w - 1]', '[5867, 5867, -3*w^5 + 16*w^3 - 16*w + 2]', '[5869, 5869, 5*w^5 - 5*w^4 - 21*w^3 + 19*w^2 + 9*w - 5]', '[5869, 5869, -3*w^5 + 14*w^3 + 4*w^2 - 10*w - 7]', '[5869, 5869, 3*w^5 - 5*w^4 - 12*w^3 + 20*w^2 + 6*w - 7]', '[5869, 5869, w^5 - 4*w^4 - 3*w^3 + 17*w^2 - 4*w - 8]', '[5869, 5869, -w^5 - 2*w^4 + 8*w^3 + 9*w^2 - 13*w - 3]', '[5869, 5869, -w^5 + 5*w^3 + 4*w^2 - 5*w - 8]', '[5873, 5873, -w^5 - w^4 + 4*w^3 + 6*w^2 - 3*w - 7]', '[5879, 5879, -2*w^5 + 3*w^4 + 10*w^3 - 12*w^2 - 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17]', '[9199, 9199, 2*w^5 - 3*w^4 - 11*w^3 + 11*w^2 + 11*w - 1]', '[9211, 9211, 7*w^5 - 6*w^4 - 31*w^3 + 21*w^2 + 18*w - 6]', '[9217, 9217, 5*w^5 - 3*w^4 - 24*w^3 + 11*w^2 + 19*w]', '[9221, 9221, 3*w^5 + 2*w^4 - 16*w^3 - 9*w^2 + 13*w + 3]', '[9221, 9221, -w^5 - w^4 + 4*w^3 + 5*w^2 - w - 7]', '[9221, 9221, 4*w^5 - 3*w^4 - 20*w^3 + 10*w^2 + 19*w - 4]', '[9227, 9227, 2*w^5 - w^4 - 11*w^3 + 3*w^2 + 15*w + 1]', '[9227, 9227, w^2 - 3*w - 5]', '[9227, 9227, 3*w^5 - 16*w^3 - w^2 + 18*w]', '[9233, 9233, -5*w^5 + 2*w^4 + 24*w^3 - 8*w^2 - 18*w + 3]', '[9233, 9233, -5*w^5 + 3*w^4 + 23*w^3 - 11*w^2 - 16*w + 2]', '[9241, 9241, -w^4 - w^3 + 5*w^2 + 7*w - 8]', '[9257, 9257, -5*w^5 + 4*w^4 + 22*w^3 - 15*w^2 - 12*w + 4]', '[9257, 9257, w^3 - 4*w - 5]', '[9257, 9257, -4*w^5 + 3*w^4 + 18*w^3 - 12*w^2 - 11*w + 11]', '[9257, 9257, w^5 - w^4 - 6*w^3 + 2*w^2 + 6*w + 5]', '[9263, 9263, 3*w^5 - w^4 - 14*w^3 + 2*w^2 + 13*w]', '[9271, 9271, -4*w^5 + 3*w^4 + 20*w^3 - 10*w^2 - 18*w + 4]', '[9271, 9271, -3*w^5 + 4*w^4 + 14*w^3 - 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4*w^4 - 23*w^3 + 15*w^2 + 15*w - 3]', '[9697, 9697, 2*w^5 - 2*w^4 - 8*w^3 + 6*w^2 + 5*w + 3]', '[9697, 9697, 4*w^5 - 4*w^4 - 19*w^3 + 16*w^2 + 12*w - 6]', '[9703, 9703, 2*w^4 - 2*w^3 - 9*w^2 + 9*w + 7]', '[9703, 9703, -w^4 - 2*w^3 + 4*w^2 + 8*w - 3]', '[9719, 9719, -2*w^5 + 9*w^3 + w^2 - 3*w - 5]', '[9725, 1945, w^5 - 2*w^4 - 5*w^3 + 4*w^2 + 6*w + 3]', '[9731, 9731, w^5 - 8*w^3 + w^2 + 13*w]', '[9737, 9737, -w^5 - 3*w^4 + 5*w^3 + 16*w^2 - 4*w - 16]', '[9737, 9737, 2*w^5 - 3*w^4 - 8*w^3 + 15*w^2 + 2*w - 15]', '[9739, 9739, -2*w^5 - w^4 + 11*w^3 + 3*w^2 - 12*w + 2]', '[9739, 9739, 2*w^5 - 12*w^3 + 14*w - 1]', '[9739, 9739, -5*w^5 + 3*w^4 + 22*w^3 - 11*w^2 - 12*w + 3]', '[9739, 9739, 3*w^5 - w^4 - 14*w^3 + 3*w^2 + 13*w - 1]', '[9749, 9749, w^5 - w^4 - 6*w^3 + 6*w^2 + 6*w - 8]', '[9749, 9749, -3*w^5 + 5*w^4 + 13*w^3 - 18*w^2 - 9*w + 5]', '[9751, 1393, 5*w^5 - 6*w^4 - 22*w^3 + 22*w^2 + 13*w - 9]', '[9751, 9751, 3*w^5 - 2*w^4 - 12*w^3 + 5*w^2 + 4*w + 6]', '[9761, 9761, -2*w^5 - w^4 + 11*w^3 + 8*w^2 - 12*w - 8]', '[9761, 9761, 5*w^4 - 21*w^2 + w + 8]', '[9781, 9781, -3*w^5 + w^4 + 16*w^3 - 3*w^2 - 15*w + 1]', '[9787, 9787, -w^5 + 8*w^3 - 14*w - 1]', '[9791, 9791, 2*w^5 - 3*w^4 - 10*w^3 + 10*w^2 + 11*w - 4]', '[9793, 9793, -4*w^5 - 2*w^4 + 18*w^3 + 9*w^2 - 4*w - 3]', '[9797, 9797, -3*w^4 + 4*w^3 + 13*w^2 - 10*w - 10]', '[9797, 9797, 2*w^5 - w^4 - 7*w^3 + 2*w^2 + w + 3]', '[9803, 9803, 2*w^5 + w^4 - 11*w^3 - 4*w^2 + 14*w]', '[9811, 9811, 4*w^5 - 5*w^4 - 18*w^3 + 19*w^2 + 9*w - 5]', '[9817, 9817, -3*w^5 + 4*w^4 + 14*w^3 - 15*w^2 - 13*w + 3]', '[9827, 9827, -9*w^5 + 10*w^4 + 39*w^3 - 40*w^2 - 21*w + 18]', '[9827, 9827, w^5 - 2*w^4 - 5*w^3 + 11*w^2 + 7*w - 11]', '[9827, 9827, -5*w^5 + 2*w^4 + 25*w^3 - 6*w^2 - 20*w + 5]', '[9827, 9827, -2*w^5 - 4*w^4 + 11*w^3 + 18*w^2 - 13*w - 12]', '[9829, 9829, -2*w^5 + 2*w^4 + 8*w^3 - 4*w^2 - w - 7]', '[9829, 9829, 4*w^5 - 2*w^4 - 17*w^3 + 6*w^2 + 4*w + 2]', '[9833, 9833, -3*w^5 + 3*w^4 + 15*w^3 - 10*w^2 - 14*w + 5]', '[9839, 9839, -3*w^4 + w^3 + 15*w^2 - 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12*w^2 - 9*w + 7]', '[9941, 9941, 4*w^5 - w^4 - 19*w^3 + 3*w^2 + 16*w - 1]', '[9941, 9941, 2*w^5 - 4*w^4 - 6*w^3 + 17*w^2 - 3*w - 10]', '[9943, 9943, w^5 - 7*w^3 + 2*w^2 + 12*w - 4]', '[9943, 9943, w^5 - 2*w^4 - 7*w^3 + 8*w^2 + 10*w - 2]', '[9943, 9943, -2*w^5 + 3*w^4 + 8*w^3 - 11*w^2 - 6*w + 2]', '[9949, 9949, w^5 - 8*w^3 + 13*w]', '[9953, 9953, -2*w^4 + 2*w^3 + 7*w^2 - w - 6]', '[9961, 9961, -w^5 - 3*w^4 + 7*w^3 + 14*w^2 - 9*w - 9]', '[9961, 9961, 2*w^5 + 3*w^4 - 9*w^3 - 15*w^2 + 6*w + 9]', '[9961, 9961, -2*w^5 + 2*w^4 + 11*w^3 - 9*w^2 - 13*w + 2]', '[9971, 9971, 7*w^5 - 10*w^4 - 28*w^3 + 39*w^2 + 9*w - 18]', '[9973, 9973, 2*w^5 + w^4 - 13*w^3 - 8*w^2 + 18*w + 8]', '[9983, 9983, -2*w^5 + 4*w^4 + 7*w^3 - 15*w^2 + 2*w + 7]', '[9983, 9983, 3*w^5 - 4*w^4 - 14*w^3 + 13*w^2 + 12*w - 2]', '[9989, 9989, w^5 + 3*w^4 - 6*w^3 - 13*w^2 + 7*w + 9]', '[9989, 9989, -2*w^5 + 3*w^4 + 9*w^3 - 11*w^2 - 9*w]', '[9989, 9989, -2*w^4 - w^3 + 8*w^2 + 4*w - 7]', '[9989, 9989, 4*w^5 - 20*w^3 - 4*w^2 + 17*w + 4]', '[9997, 9997, -3*w^5 + 4*w^4 + 9*w^3 - 16*w^2 + 5*w + 5]', '[9997, 9997, 2*w^5 - 4*w^4 - 5*w^3 + 17*w^2 - 8*w - 8]'], 'label': '6.6.592661.1', 'narrow_class_no': 1, 'primes': ['[7, 7, w^5 - 5*w^3 + 4*w]', '[13, 13, -w^3 + 3*w]', '[25, 5, w^4 - w^3 - 4*w^2 + 2*w + 2]', '[31, 31, -w^5 + 5*w^3 - 5*w + 1]', '[31, 31, -w^4 + w^3 + 5*w^2 - 3*w - 3]', '[37, 37, w^4 - 5*w^2 + w + 3]', '[43, 43, -2*w^5 + w^4 + 9*w^3 - 3*w^2 - 6*w]', '[47, 47, w^5 - w^4 - 4*w^3 + 4*w^2 - 2]', '[49, 7, -w^4 + 4*w^2 + w - 3]', '[53, 53, -w^4 + w^3 + 4*w^2 - 3*w - 4]', '[59, 59, w^4 - 5*w^2 - w + 5]', '[61, 61, w^3 - w^2 - 3*w]', '[64, 2, -2]', '[67, 67, -2*w^5 + w^4 + 9*w^3 - 3*w^2 - 7*w]', '[67, 67, 2*w^5 - w^4 - 10*w^3 + 4*w^2 + 9*w - 1]', '[73, 73, w^5 - w^4 - 4*w^3 + 5*w^2 + w - 3]', '[73, 73, 3*w^5 - 3*w^4 - 13*w^3 + 11*w^2 + 7*w - 3]', '[83, 83, -2*w^5 + 3*w^4 + 9*w^3 - 11*w^2 - 6*w + 2]', '[97, 97, -2*w^4 + w^3 + 9*w^2 - 3*w - 4]', '[101, 101, -2*w^5 + 3*w^4 + 9*w^3 - 11*w^2 - 6*w + 4]', '[101, 101, w^5 - 2*w^4 - 4*w^3 + 9*w^2 + w - 4]', '[107, 107, -2*w^5 + w^4 + 10*w^3 - 4*w^2 - 9*w + 2]', '[107, 107, -w^5 + w^4 + 6*w^3 - 4*w^2 - 8*w + 2]', '[113, 113, w^5 - w^4 - 4*w^3 + 3*w^2 + 2*w + 2]', '[121, 11, w^5 - w^4 - 5*w^3 + 3*w^2 + 5*w - 2]', '[127, 127, 2*w^5 - 3*w^4 - 9*w^3 + 12*w^2 + 5*w - 4]', '[131, 131, w^5 - w^4 - 6*w^3 + 4*w^2 + 8*w - 1]', '[131, 131, 2*w^5 - 3*w^4 - 7*w^3 + 12*w^2 - w - 4]', '[149, 149, -2*w^5 + 2*w^4 + 8*w^3 - 8*w^2 - 3*w + 4]', '[151, 151, w^5 - 2*w^4 - 4*w^3 + 8*w^2 + 3*w - 3]', '[157, 157, w^5 - w^4 - 4*w^3 + 5*w^2 - w - 2]', '[163, 163, -2*w^5 + 2*w^4 + 9*w^3 - 6*w^2 - 6*w]', '[163, 163, w^5 - 2*w^4 - 4*w^3 + 8*w^2 - 4]', '[163, 163, -2*w^5 + w^4 + 9*w^3 - 4*w^2 - 7*w + 4]', '[173, 173, 2*w^4 - w^3 - 8*w^2 + 2*w + 4]', '[173, 173, -w^5 + 3*w^4 + 4*w^3 - 14*w^2 - w + 9]', '[179, 179, -w^5 + 2*w^4 + 4*w^3 - 8*w^2 + 6]', '[191, 191, 2*w^4 - 2*w^3 - 9*w^2 + 6*w + 5]', '[193, 193, -w^5 + w^4 + 5*w^3 - 4*w^2 - 6*w + 2]', '[199, 199, -2*w^5 + 3*w^4 + 9*w^3 - 11*w^2 - 6*w + 3]', '[211, 211, -w^5 + 5*w^3 - 2*w - 2]', '[211, 211, -2*w^5 + w^4 + 9*w^3 - 4*w^2 - 5*w + 1]', '[211, 211, w^5 - 5*w^3 - 2*w^2 + 4*w + 4]', '[223, 223, w^5 - 5*w^3 - w^2 + 7*w + 1]', '[227, 227, -w^5 + w^4 + 6*w^3 - 4*w^2 - 7*w + 1]', '[227, 227, w^3 - 2*w^2 - 4*w + 3]', '[229, 229, -w^5 + 6*w^3 - 7*w + 1]', '[233, 233, 3*w^5 - 2*w^4 - 15*w^3 + 8*w^2 + 13*w - 3]', '[233, 233, -w^5 + 4*w^3 + w^2 - 2*w - 3]', '[233, 233, -w^3 + w^2 + 4*w - 1]', '[257, 257, w^5 - 2*w^4 - 5*w^3 + 8*w^2 + 4*w - 2]', '[257, 257, w^5 + w^4 - 6*w^3 - 4*w^2 + 6*w + 1]', '[263, 263, 3*w^5 - 3*w^4 - 13*w^3 + 10*w^2 + 7*w - 1]', '[269, 269, w^5 - w^4 - 4*w^3 + 5*w^2 - 3]', '[283, 283, w^5 - w^4 - 5*w^3 + 5*w^2 + 5*w - 1]', '[293, 293, -2*w^4 + w^3 + 8*w^2 - 3*w - 4]', '[293, 293, 2*w^5 - 4*w^4 - 8*w^3 + 17*w^2 + 3*w - 8]', '[307, 307, w^5 - 7*w^3 + 11*w - 1]', '[311, 311, w^4 - 2*w^3 - 4*w^2 + 8*w + 1]', '[313, 313, -w^5 + 5*w^3 + w^2 - 3*w - 3]', '[317, 317, -w^5 + 4*w^3 - w^2 - w + 4]', '[317, 317, -3*w^5 + 4*w^4 + 13*w^3 - 16*w^2 - 6*w + 8]', '[331, 331, w^5 - 7*w^3 + 10*w]', '[331, 331, 3*w^4 - 2*w^3 - 13*w^2 + 7*w + 7]', '[331, 331, w^5 - 4*w^3 + w^2 + w - 3]', '[343, 7, -4*w^5 + 3*w^4 + 19*w^3 - 10*w^2 - 15*w + 2]', '[347, 347, 2*w^5 - 2*w^4 - 10*w^3 + 7*w^2 + 7*w]', '[349, 349, 3*w^5 - 2*w^4 - 14*w^3 + 7*w^2 + 9*w + 1]', '[349, 349, -w^5 + 2*w^4 + 3*w^3 - 9*w^2 + w + 7]', '[359, 359, 2*w^5 - 2*w^4 - 10*w^3 + 7*w^2 + 10*w - 4]', '[359, 359, w^5 - 7*w^3 + 11*w + 1]', '[373, 373, w^5 - 6*w^3 + 6*w - 2]', '[383, 383, -4*w^5 + 4*w^4 + 18*w^3 - 14*w^2 - 12*w + 3]', '[389, 389, w^5 + w^4 - 5*w^3 - 5*w^2 + 6*w + 4]', '[397, 397, 2*w^5 - w^4 - 9*w^3 + 5*w^2 + 6*w - 5]', '[397, 397, -2*w^5 + 3*w^4 + 8*w^3 - 10*w^2 - 3*w + 3]', '[409, 409, -w^5 + w^4 + 5*w^3 - 3*w^2 - 6*w - 3]', '[421, 421, -3*w^5 + w^4 + 14*w^3 - 3*w^2 - 10*w - 2]', '[431, 431, 2*w^4 - w^3 - 10*w^2 + 3*w + 7]', '[433, 433, -3*w^5 + 2*w^4 + 14*w^3 - 6*w^2 - 11*w + 2]', '[433, 433, 2*w^5 - 3*w^4 - 10*w^3 + 11*w^2 + 10*w - 2]', '[439, 439, -2*w^5 + 2*w^4 + 10*w^3 - 8*w^2 - 7*w + 3]', '[439, 439, 3*w^5 - 4*w^4 - 13*w^3 + 16*w^2 + 8*w - 5]', '[439, 439, -w^5 + w^4 + 5*w^3 - 6*w^2 - 4*w + 6]', '[461, 461, w^5 + w^4 - 5*w^3 - 4*w^2 + 6*w + 1]', '[467, 467, w^5 + w^4 - 4*w^3 - 6*w^2 + w + 5]', '[479, 479, w^5 - w^4 - 5*w^3 + 3*w^2 + 2*w + 1]', '[487, 487, 3*w^5 - 3*w^4 - 13*w^3 + 12*w^2 + 7*w - 3]', '[499, 499, 2*w^5 - 2*w^4 - 11*w^3 + 7*w^2 + 12*w - 1]', '[503, 503, w^5 - 2*w^4 - 5*w^3 + 9*w^2 + 5*w - 3]', '[509, 509, 3*w^5 - 3*w^4 - 15*w^3 + 11*w^2 + 13*w - 2]', '[509, 509, 2*w^5 - 2*w^4 - 10*w^3 + 7*w^2 + 11*w - 2]', '[521, 521, 3*w^5 - 3*w^4 - 14*w^3 + 10*w^2 + 11*w - 3]', '[521, 521, -w^5 + 2*w^4 + 5*w^3 - 6*w^2 - 5*w]', '[523, 523, -2*w^5 + 2*w^4 + 10*w^3 - 7*w^2 - 11*w + 1]', '[523, 523, -2*w^5 + w^4 + 10*w^3 - 3*w^2 - 11*w]', '[523, 523, -2*w^5 + w^4 + 10*w^3 - 4*w^2 - 10*w + 4]', '[547, 547, -2*w^4 + 2*w^3 + 10*w^2 - 6*w - 7]', '[557, 557, 3*w^5 - 3*w^4 - 14*w^3 + 10*w^2 + 9*w - 1]', '[569, 569, 3*w^5 - 4*w^4 - 13*w^3 + 14*w^2 + 8*w - 2]', '[571, 571, w^4 + w^3 - 5*w^2 - 2*w + 5]', '[577, 577, 3*w^4 - 2*w^3 - 13*w^2 + 7*w + 6]', '[577, 577, w^5 + w^4 - 5*w^3 - 4*w^2 + 4*w + 4]', '[587, 587, 2*w^5 - w^4 - 10*w^3 + 5*w^2 + 9*w - 4]', '[599, 599, -2*w^5 + 3*w^4 + 10*w^3 - 12*w^2 - 9*w + 3]', '[599, 599, w^5 + 2*w^4 - 6*w^3 - 9*w^2 + 8*w + 6]', '[601, 601, -2*w^5 + 3*w^4 + 8*w^3 - 11*w^2 - 5*w + 4]', '[607, 607, w^5 - 2*w^4 - 5*w^3 + 8*w^2 + 3*w - 1]', '[613, 613, w^5 - 2*w^4 - 5*w^3 + 10*w^2 + 5*w - 7]', '[613, 613, -w^5 + 2*w^4 + 3*w^3 - 7*w^2]', '[617, 617, -3*w^5 + 3*w^4 + 12*w^3 - 11*w^2 - 5*w + 4]', '[625, 5, -2*w^5 + 2*w^4 + 9*w^3 - 6*w^2 - 5*w + 1]', '[631, 631, -2*w^5 + w^4 + 9*w^3 - 3*w^2 - 8*w + 1]', '[641, 641, w^5 - 5*w^3 - w^2 + 5*w + 5]', '[659, 659, -w^5 + 3*w^4 + 5*w^3 - 12*w^2 - 5*w + 3]', '[661, 661, 4*w^5 - 3*w^4 - 19*w^3 + 11*w^2 + 14*w - 2]', '[677, 677, -2*w^5 + 2*w^4 + 9*w^3 - 7*w^2 - 6*w - 2]', '[683, 683, -w^5 + w^4 + 4*w^3 - 5*w^2 + w + 4]', '[683, 683, -2*w^4 + w^3 + 9*w^2 - 5*w - 4]', '[701, 701, -2*w^5 + 3*w^4 + 10*w^3 - 11*w^2 - 10*w + 4]', '[701, 701, -3*w^5 + w^4 + 15*w^3 - 3*w^2 - 14*w + 1]', '[709, 709, 2*w^4 - 2*w^3 - 9*w^2 + 5*w + 7]', '[719, 719, w^4 - 2*w^3 - 4*w^2 + 7*w + 4]', '[719, 719, w^3 + 2*w^2 - 4*w - 5]', '[727, 727, 2*w^5 - 3*w^4 - 8*w^3 + 11*w^2 + 4*w - 1]', '[729, 3, -3]', '[743, 743, 3*w^5 - 2*w^4 - 15*w^3 + 6*w^2 + 12*w]', '[743, 743, -w^4 + w^3 + 6*w^2 - 4*w - 3]', '[769, 769, 2*w^5 - 3*w^4 - 8*w^3 + 12*w^2 + 3*w - 2]', '[769, 769, -3*w^5 + 4*w^4 + 13*w^3 - 15*w^2 - 8*w + 3]', '[787, 787, 2*w^3 - w^2 - 5*w]', '[797, 797, 3*w^5 - w^4 - 15*w^3 + 4*w^2 + 12*w - 1]', '[827, 827, 3*w^4 - w^3 - 13*w^2 + 2*w + 8]', '[839, 839, -2*w^5 + w^4 + 10*w^3 - 4*w^2 - 11*w + 2]', '[853, 853, -2*w^4 + w^3 + 10*w^2 - 4*w - 6]', '[853, 853, -w^5 + w^4 + 6*w^3 - 3*w^2 - 7*w - 3]', '[853, 853, -2*w^5 + 3*w^4 + 9*w^3 - 11*w^2 - 8*w + 3]', '[857, 857, w^5 - 2*w^4 - 3*w^3 + 10*w^2 - 2*w - 7]', '[859, 859, -4*w^5 + 3*w^4 + 18*w^3 - 10*w^2 - 12*w]', '[863, 863, w^5 - 3*w^4 - 3*w^3 + 14*w^2 - 2*w - 9]', '[877, 877, -w^5 + 7*w^3 - 12*w - 1]', '[881, 881, 2*w^4 - 2*w^3 - 9*w^2 + 8*w + 6]', '[881, 881, 3*w^5 - w^4 - 15*w^3 + 4*w^2 + 12*w - 2]', '[887, 887, -w^5 - w^4 + 5*w^3 + 5*w^2 - 2*w - 4]', '[919, 919, 4*w^5 - 4*w^4 - 18*w^3 + 14*w^2 + 11*w - 3]', '[919, 919, -w^5 + 4*w^3 - w - 3]', '[929, 929, -w^5 + 2*w^4 + 4*w^3 - 10*w^2 + 5]', '[937, 937, 3*w^5 - 4*w^4 - 12*w^3 + 15*w^2 + 5*w - 3]', '[947, 947, 3*w^5 - 3*w^4 - 13*w^3 + 10*w^2 + 8*w - 4]', '[953, 953, 2*w^5 - 9*w^3 - w^2 + 6*w + 4]', '[953, 953, -3*w^5 + 3*w^4 + 12*w^3 - 11*w^2 - 5*w + 2]', '[967, 967, -2*w^5 + 9*w^3 + 2*w^2 - 7*w - 4]', '[977, 977, 3*w^5 - w^4 - 14*w^3 + 3*w^2 + 11*w - 1]', '[977, 977, w^4 - w^3 - 6*w^2 + 3*w + 3]', '[997, 997, 3*w^5 - 2*w^4 - 15*w^3 + 7*w^2 + 13*w - 4]']}
-
nf_fields • Show schema
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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, -2, 5, 4, -5, -1, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 592661, 'disc_rad': 592661, 'disc_sign': 1, 'frobs': [[2, [[6, 1]]], [3, [[6, 1]]], [5, [[4, 1], [2, 1]]], [7, [[3, 1], [2, 1], [1, 1]]], [11, [[4, 1], [2, 1]]], [13, [[5, 1], [1, 1]]], [17, [[6, 1]]], [19, [[6, 1]]], [23, [[6, 1]]], [29, [[6, 1]]], [31, [[4, 1], [1, 2]]], [37, [[3, 1], [2, 1], [1, 1]]], [41, [[6, 1]]], [43, [[5, 1], [1, 1]]], [47, [[3, 1], [2, 1], [1, 1]]], [53, [[5, 1], [1, 1]]], [59, [[3, 1], [2, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [360], 'galois_label': '6T16', 'galt': 16, 'grd': 769.8447895517642, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.6.592661.1', 'local_algs': ['m592661.1.2.0', 'm592661.1.2.0', 'm592661.2.1.1'], 'monogenic': 1, 'num_ram': 1, 'r2': 0, 'ramps': 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'a^3', 'a^4', 'a^5']}