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hmf_forms • Show schema
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{'deg': 5, 'dimension': 2, 'disc': 157457, 'field_bad_primes': [157457], 'field_label': '5.5.157457.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '5.5.157457.1-9.1-b', 'label_nsuffix': 1, 'label_suffix': 'b', 'level_bad_primes': [3], 'level_ideal': '[9, 9, w^2 - w - 3]', 'level_label': '9.1', 'level_norm': 9, 'parallel_weight': 2, 'short_label': '9.1-b', 'weight': '[2, 2, 2, 2, 2]'}
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hmf_hecke • Show schema
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{'AL_eigenvalues': [['[3, 3, w - 1]', 1]], 'hecke_eigenvalues': [0, -3, 'e', '2*e', 0, '-4*e', '-e', 4, 'e', '-6*e', -6, -6, '-6*e', '6*e', -7, 'e', 'e', '-3*e', -15, -5, '-10*e', '8*e', -12, 4, -2, -9, '2*e', '-8*e', '10*e', '2*e', '-2*e', '-9*e', 8, -3, 0, -12, 0, '15*e', -17, -10, '7*e', -2, '-13*e', -4, '-2*e', 10, 15, '-8*e', 1, -24, -26, -12, 0, -9, '-12*e', -25, '-14*e', 18, '13*e', -4, '7*e', 6, '-2*e', '-10*e', '15*e', -3, '-11*e', 26, '6*e', -11, -16, 30, 6, '12*e', 6, '15*e', '-8*e', '-12*e', '-5*e', -15, 12, 12, '9*e', '12*e', '-18*e', '-e', 32, '12*e', '-3*e', 21, '-17*e', 18, '10*e', 36, -36, '-3*e', -22, -11, '18*e', -10, 0, 0, '-9*e', -10, -35, 22, '8*e', '-22*e', -9, -28, 10, '20*e', '-2*e', '-17*e', -20, '25*e', -3, 39, 6, 42, -18, -15, 47, '-7*e', '19*e', -27, -9, 4, 37, '22*e', '-19*e', '-8*e', '8*e', 18, -24, 6, '17*e', '-3*e', -40, 3, '-6*e', '11*e', '20*e', '16*e', '14*e', '-19*e', '-4*e', -47, '13*e', 8, -21, -42, 7, '9*e', '21*e', '16*e', -7, 14, 26, '-19*e', 0, -29, '17*e', 27, -45, -42, '2*e', '-18*e', -19, '32*e'], 'hecke_polynomial': 'x^2 - 3', 'label': '5.5.157457.1-9.1-b'}
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hmf_fields • Show schema
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{'degree': 5, 'discriminant': 157457, 'ideals': ['[1, 1, 1]', '[3, 3, w - 1]', '[5, 5, w^2 - w - 2]', '[7, 7, w^4 - 2*w^3 - 3*w^2 + 4*w + 2]', '[9, 9, w^2 - w - 3]', '[13, 13, w^3 - 2*w^2 - 2*w + 2]', '[15, 15, w^4 - 2*w^3 - 3*w^2 + 3*w + 1]', '[21, 21, w^4 - 3*w^3 - w^2 + 6*w - 3]', '[25, 25, -w^3 + w^2 + 3*w - 2]', '[27, 27, w^3 - 2*w^2 - 2*w + 3]', '[29, 29, -w^4 + 3*w^3 + 2*w^2 - 7*w - 1]', '[29, 29, -w^2 + 2*w + 3]', '[31, 31, w^4 - 2*w^3 - 3*w^2 + 5*w]', '[31, 31, w^3 - 2*w^2 - 3*w + 2]', '[32, 2, 2]', '[35, 35, -w^4 + w^3 + 5*w^2 - w - 5]', '[39, 39, w^4 - 3*w^3 + 4*w - 2]', '[43, 43, -w^2 - w + 4]', '[45, 45, -w^4 + 3*w^3 + w^2 - 6*w]', '[49, 49, w^3 - 3*w^2 - w + 4]', '[53, 53, -w^4 + w^3 + 6*w^2 - 2*w - 5]', '[53, 53, -w^4 + 2*w^3 + 4*w^2 - 5*w - 2]', '[63, 63, -w^2 - w + 2]', '[65, 65, -w^4 + 2*w^3 + 3*w^2 - 2*w - 3]', '[73, 73, w^4 - w^3 - 6*w^2 + 2*w + 6]', '[73, 73, w^3 - w^2 - 4*w + 2]', '[75, 75, -w^4 + w^3 + 5*w^2 - 2*w - 3]', '[81, 3, 2*w^4 - 5*w^3 - 4*w^2 + 9*w + 2]', '[81, 81, w^3 - w^2 - 5*w - 1]', '[83, 83, w^3 - w^2 - 5*w]', '[87, 87, -w^3 + 3*w^2 + w - 3]', '[87, 87, w^4 - w^3 - 4*w^2 + 2*w + 2]', '[89, 89, -w^4 + 2*w^3 + 4*w^2 - 4*w - 2]', '[91, 91, w^4 - 2*w^3 - 4*w^2 + 6*w + 3]', '[93, 93, w^4 - 3*w^3 - w^2 + 5*w - 2]', '[93, 93, w^4 - 2*w^3 - 2*w^2 + w + 2]', '[96, 6, 2*w - 2]', '[97, 97, w^4 - 3*w^3 - 2*w^2 + 6*w + 2]', '[101, 101, -w^4 + 3*w^3 + 3*w^2 - 7*w - 3]', '[103, 103, -w^4 + w^3 + 6*w^2 - w - 7]', '[103, 103, 2*w^4 - 4*w^3 - 6*w^2 + 8*w + 1]', '[103, 103, w^4 - w^3 - 6*w^2 + 3*w + 4]', '[105, 105, -w^2 + 4]', '[107, 107, -w^4 + 2*w^3 + 3*w^2 - 5*w + 2]', '[109, 109, w^3 - 4*w - 1]', '[109, 109, -w^2 + 2*w + 4]', '[117, 117, -w^4 + w^3 + 5*w^2 - 5]', '[125, 125, -w^3 + 2*w^2 + 2*w + 1]', '[129, 129, -w^3 + 5*w - 4]', '[131, 131, w^4 - w^3 - 6*w^2 + w + 6]', '[135, 135, -w^4 + 2*w^3 + 4*w^2 - 3*w - 5]', '[137, 137, w^3 - w^2 - 5*w + 3]', '[145, 145, w^3 - 2*w^2 - 4*w + 3]', '[145, 145, w^4 - 2*w^3 - 4*w^2 + 6*w + 4]', '[147, 147, w^3 - 5*w - 2]', '[149, 149, w^4 - 3*w^3 - 3*w^2 + 9*w + 6]', '[149, 149, -w^4 + 6*w^2 + 3*w]', '[155, 155, -2*w^3 + 3*w^2 + 6*w - 3]', '[155, 155, -w^4 + w^3 + 4*w^2 - 3]', '[159, 159, w^4 - 2*w^3 - 4*w^2 + 7*w + 1]', '[159, 159, w^3 - 3*w^2 + w + 4]', '[160, 10, 2*w^2 - 2*w - 4]', '[163, 163, 2*w^2 - w - 5]', '[167, 167, -2*w^4 + 3*w^3 + 8*w^2 - 4*w - 3]', '[169, 13, w^4 - 3*w^3 + 6*w - 3]', '[169, 13, w^3 - 4*w - 4]', '[169, 169, w^3 - 3*w^2 - 2*w + 5]', '[173, 173, w^4 - w^3 - 4*w^2 + 2*w + 1]', '[173, 173, -w^4 + 3*w^3 + 3*w^2 - 7*w - 5]', '[173, 173, w^4 - w^3 - 4*w^2 + w - 1]', '[175, 175, -w^4 + 2*w^3 + 4*w^2 - 5*w - 1]', '[179, 179, w^2 - 3*w - 2]', '[189, 189, 2*w^4 - 5*w^3 - 4*w^2 + 8*w + 2]', '[191, 191, -w^4 + 3*w^3 + w^2 - 6*w - 1]', '[193, 193, -w^3 + 2*w^2 + w - 4]', '[193, 193, -w^4 + 3*w^3 + 3*w^2 - 8*w - 1]', '[195, 195, 2*w^4 - 4*w^3 - 6*w^2 + 8*w + 3]', '[199, 199, w^4 - 3*w^3 - w^2 + 7*w]', '[199, 199, -2*w^4 + 5*w^3 + 5*w^2 - 10*w - 2]', '[199, 199, w^4 - 3*w^3 + 5*w - 4]', '[203, 203, w^3 - w^2 - 4*w - 3]', '[203, 203, 2*w^4 - 3*w^3 - 9*w^2 + 7*w + 8]', '[211, 211, 2*w^3 - 2*w^2 - 7*w - 1]', '[211, 211, -2*w^3 + 3*w^2 + 5*w - 2]', '[215, 215, -w^4 + 7*w^2 - 2*w - 8]', '[217, 217, -2*w^4 + 4*w^3 + 7*w^2 - 7*w - 6]', '[217, 217, w^4 - 3*w^3 - 3*w^2 + 8*w + 2]', '[219, 219, -w^3 + 3*w^2 - 5]', '[219, 219, w^4 - 2*w^3 - 3*w^2 + 6*w - 2]', '[223, 223, -2*w^4 + 3*w^3 + 10*w^2 - 7*w - 9]', '[224, 14, 2*w^4 - 4*w^3 - 6*w^2 + 8*w + 4]', '[225, 225, -2*w^2 + 3*w + 2]', '[227, 227, w^3 - w^2 - 4*w + 3]', '[229, 229, w^4 - 4*w^3 + 10*w - 5]', '[229, 229, -2*w^4 + 4*w^3 + 7*w^2 - 9*w - 8]', '[239, 239, -2*w^4 + 3*w^3 + 7*w^2 - 3*w - 3]', '[241, 241, w^3 - w^2 - 2*w - 2]', '[243, 3, 3]', '[243, 243, w^4 - 2*w^3 - 4*w^2 + 4*w + 1]', '[245, 245, w^4 - w^3 - 4*w^2 - 2*w + 2]', '[249, 249, w^4 - 2*w^3 - 4*w^2 + 5*w]', '[257, 257, -w^4 + w^3 + 6*w^2 - 4*w - 4]', '[261, 261, w^4 - 2*w^3 - 3*w^2 + 3*w - 2]', '[261, 261, w^4 - 4*w^3 + 9*w]', '[263, 263, 2*w^3 - 4*w^2 - 5*w + 6]', '[265, 265, 3*w^4 - 5*w^3 - 11*w^2 + 8*w + 10]', '[265, 265, 2*w^4 - 4*w^3 - 6*w^2 + 7*w + 5]', '[267, 267, w^4 - 2*w^3 - 3*w^2 + 6*w + 1]', '[269, 269, w^3 - 2*w^2 - 4*w + 4]', '[269, 269, -2*w^4 + 2*w^3 + 11*w^2 - 3*w - 10]', '[271, 271, w^3 - 5*w]', '[273, 273, -w^4 + 6*w^2 + 2*w - 4]', '[279, 279, -2*w^4 + 5*w^3 + 5*w^2 - 10*w - 1]', '[279, 279, -w^4 + 2*w^3 + 5*w^2 - 5*w - 4]', '[281, 281, w^4 - w^3 - 5*w^2 + 3*w + 3]', '[281, 281, -2*w^4 + 4*w^3 + 6*w^2 - 6*w - 3]', '[281, 281, w^3 - 5*w - 1]', '[283, 283, -2*w^4 + 4*w^3 + 7*w^2 - 8*w - 3]', '[288, 18, 2*w^2 - 2*w - 6]', '[289, 17, -2*w^4 + 3*w^3 + 8*w^2 - 5*w - 2]', '[291, 291, -2*w^4 + 5*w^3 + 3*w^2 - 8*w - 1]', '[293, 293, 2*w^4 - 5*w^3 - 7*w^2 + 14*w + 9]', '[301, 301, 3*w^4 - 8*w^3 - 9*w^2 + 17*w + 7]', '[303, 303, 2*w^4 - 4*w^3 - 5*w^2 + 8*w + 2]', '[309, 309, w^3 - 2*w^2 - 2*w + 6]', '[309, 309, -2*w^4 + 6*w^3 + 4*w^2 - 15*w + 1]', '[309, 309, -w^3 + 4*w^2 - 3*w - 3]', '[311, 311, -w^4 + 2*w^3 + 2*w^2 - 4*w + 3]', '[313, 313, w^3 - 6*w]', '[315, 315, -w^3 + w^2 + 4*w - 4]', '[321, 321, w^4 - 3*w^3 - 3*w^2 + 11*w - 3]', '[325, 325, w^4 - 3*w^3 - w^2 + 5*w - 3]', '[327, 327, w^4 - w^3 - 4*w^2 + 3*w + 1]', '[327, 327, -w^3 + 3*w^2 + 2*w - 4]', '[331, 331, w^4 - 2*w^3 - 2*w^2 + w - 2]', '[343, 343, -w^4 + 3*w^3 + 2*w^2 - 9*w]', '[351, 351, -w + 4]', '[359, 359, w^4 - w^3 - 5*w^2 + 2*w - 1]', '[365, 365, 2*w^4 - 5*w^3 - 3*w^2 + 7*w + 1]', '[365, 365, -w^3 + 3*w^2 + 2*w - 3]', '[371, 371, -w^3 + 4*w^2 + w - 8]', '[371, 371, -2*w^4 + 4*w^3 + 10*w^2 - 11*w - 12]', '[373, 373, -w^4 + 3*w^3 + 2*w^2 - 8*w - 3]', '[373, 373, 2*w^3 - 4*w^2 - 3*w + 3]', '[375, 375, -w^4 + 4*w^3 + w^2 - 10*w]', '[377, 377, -w^4 + 3*w^3 + 3*w^2 - 9*w]', '[377, 377, -2*w^4 + 4*w^3 + 7*w^2 - 9*w - 2]', '[379, 379, -w^4 + 4*w^3 - w^2 - 9*w + 3]', '[379, 379, -w^4 + 3*w^3 + w^2 - 6*w - 2]', '[379, 379, w^4 + w^3 - 7*w^2 - 6*w + 3]', '[383, 383, -w^4 + 2*w^3 + 3*w^2 - 6*w - 2]', '[383, 383, w^4 - 5*w^2 - 3*w + 3]', '[383, 383, 2*w^4 - 5*w^3 - 3*w^2 + 8*w]', '[387, 387, -w^4 + 8*w^2 - w - 12]', '[389, 389, 3*w^4 - 7*w^3 - 8*w^2 + 16*w + 1]', '[393, 393, -w^3 + 2*w^2 + w - 5]', '[397, 397, -2*w^4 + 3*w^3 + 8*w^2 - 3*w - 7]', '[397, 397, -w^4 + 2*w^3 + 3*w^2 - 4*w - 5]', '[397, 397, -2*w^4 + 3*w^3 + 7*w^2 - 4*w - 3]', '[403, 403, -w^4 + w^3 + 4*w^2 - w + 2]', '[403, 403, -w^4 + 2*w^3 + 4*w^2 - 5*w - 7]', '[405, 15, w^4 - w^3 - 8*w^2 + 6*w + 7]', '[405, 405, w^4 - 3*w^3 - 3*w^2 + 9*w + 2]', '[409, 409, -w^4 + w^3 + 7*w^2 - 5*w - 9]', '[411, 411, w^4 - 2*w^3 - 4*w^2 + 8*w - 3]', '[415, 415, w^4 - w^3 - 5*w^2 + 4*w - 1]', '[416, 26, 2*w^3 - 4*w^2 - 4*w + 4]', '[419, 419, w^4 - 2*w^3 - w^2 + 2*w - 2]', '[419, 419, 2*w^4 - 3*w^3 - 7*w^2 + 5*w + 2]', '[419, 419, -w^4 + 4*w^3 - 9*w - 2]', '[433, 433, -w^4 + 3*w^3 - 8*w + 4]', '[433, 433, w^4 - 7*w^2 - w + 6]', '[435, 435, w^4 - 3*w^3 - 2*w^2 + 7*w - 3]', '[435, 435, -w^4 + 2*w^3 + 5*w^2 - 6*w - 3]', '[439, 439, 3*w^4 - 6*w^3 - 10*w^2 + 11*w + 7]', '[441, 441, w^4 - w^3 - 5*w^2 + 3*w + 2]', '[445, 445, 2*w^4 - 3*w^3 - 7*w^2 + 5*w + 5]', '[447, 447, -2*w^4 + 4*w^3 + 7*w^2 - 7*w - 5]', '[447, 447, -w^4 + 2*w^3 + 2*w^2 + w - 1]', '[449, 449, -2*w^4 + 5*w^3 + 5*w^2 - 11*w - 4]', '[455, 455, -2*w^3 + 3*w^2 + 7*w]', '[457, 457, -2*w^4 + 5*w^3 + 4*w^2 - 10*w - 2]', '[463, 463, 2*w^4 - 5*w^3 - 4*w^2 + 8*w + 1]', '[465, 465, -2*w^4 + 5*w^3 + 3*w^2 - 9*w + 3]', '[465, 465, -w^3 + w^2 + w + 2]', '[467, 467, 2*w^4 - 4*w^3 - 6*w^2 + 6*w + 1]', '[477, 477, 3*w^4 - 6*w^3 - 10*w^2 + 12*w + 7]', '[477, 477, 4*w^4 - 6*w^3 - 17*w^2 + 10*w + 15]', '[479, 479, 3*w^4 - 4*w^3 - 12*w^2 + 4*w + 7]', '[479, 479, 2*w^4 - 6*w^3 - 4*w^2 + 14*w + 1]', '[480, 30, 2*w^4 - 4*w^3 - 6*w^2 + 6*w + 2]', '[485, 485, -w^4 + w^3 + 6*w^2 - 5*w - 6]', '[489, 489, 2*w^3 - 3*w^2 - 4*w + 5]', '[491, 491, w^4 - 6*w^2 - w + 4]', '[501, 501, w^4 - 3*w^3 - 2*w^2 + 9*w + 1]', '[503, 503, 2*w^4 - w^3 - 11*w^2 - 3*w + 8]', '[503, 503, 2*w^3 - 5*w^2 - 2*w + 6]', '[505, 505, 2*w^4 - 3*w^3 - 8*w^2 + 8*w + 8]', '[507, 39, -2*w^4 + 7*w^3 + w^2 - 13*w + 4]', '[507, 39, w^4 - w^3 - 4*w^2 + 4]', '[507, 507, 2*w^3 - w^2 - 8*w - 2]', '[509, 509, w^4 - 5*w^2 - 6*w]', '[509, 509, w^4 - 3*w^3 - 3*w^2 + 9*w + 1]', '[511, 511, 2*w^4 - 5*w^3 - 4*w^2 + 11*w + 1]', '[511, 511, 3*w^4 - 6*w^3 - 13*w^2 + 15*w + 14]', '[515, 515, 3*w^4 - 4*w^3 - 14*w^2 + 8*w + 14]', '[515, 515, -3*w^4 + 6*w^3 + 9*w^2 - 9*w - 8]', '[515, 515, -2*w^4 + 4*w^3 + 7*w^2 - 7*w - 4]', '[519, 519, 2*w^4 - 4*w^3 - 5*w^2 + 6*w + 4]', '[519, 519, w^3 - 6*w + 2]', '[519, 519, w^3 + w^2 - 5*w]', '[523, 523, 3*w^4 - 7*w^3 - 7*w^2 + 12*w + 3]', '[523, 523, 3*w^4 - 8*w^3 - 7*w^2 + 17*w + 3]', '[523, 523, w^4 - 7*w^2 - 2*w + 4]', '[525, 525, -w^4 + w^3 + 6*w^2 - 4*w - 8]', '[529, 23, -w^4 + w^3 + 7*w^2 - 2*w - 9]', '[535, 535, w^4 - 3*w^3 + 3*w - 3]', '[537, 537, w^3 - 4*w^2 + w + 2]', '[541, 541, w^4 - 3*w^3 - 3*w^2 + 5*w + 2]', '[545, 545, w^4 - 2*w^3 - 2*w^2 + 5*w + 3]', '[545, 545, w^4 - 4*w^3 + 8*w]', '[547, 547, -w^3 + 3*w^2 + 3*w - 4]', '[557, 557, 2*w^3 - 4*w^2 - 6*w + 9]', '[559, 559, -w^4 + 4*w^3 - 3*w^2 - 6*w + 7]', '[567, 21, -w^4 + w^3 + 5*w^2 - 10]', '[567, 567, w^4 - 5*w^2 - 3*w - 2]', '[573, 573, 2*w^4 - 6*w^3 - 2*w^2 + 9*w]', '[577, 577, 2*w^4 - 2*w^3 - 11*w^2 + 5*w + 10]', '[577, 577, w^4 - 4*w^3 - w^2 + 9*w]', '[577, 577, 2*w^4 - 3*w^3 - 9*w^2 + 4*w + 8]', '[577, 577, w^4 - 7*w^2 - 3*w + 7]', '[577, 577, -3*w^4 + 3*w^3 + 13*w^2 - w - 4]', '[579, 579, -w^4 + 3*w^3 - w^2 - 5*w + 4]', '[579, 579, -2*w^4 + 4*w^3 + 6*w^2 - 11*w]', '[581, 581, -2*w^3 + 3*w^2 + 5*w - 4]', '[585, 585, -2*w^4 + 6*w^3 + 4*w^2 - 13*w - 1]', '[593, 593, 3*w - 2]', '[597, 597, -2*w^4 + 7*w^3 - 13*w + 5]', '[597, 597, 3*w^4 - 8*w^3 - 5*w^2 + 16*w]', '[597, 597, -2*w^4 + 6*w^3 + 3*w^2 - 11*w + 1]', '[601, 601, 2*w^4 - 4*w^3 - 7*w^2 + 5*w + 6]', '[601, 601, -w^4 + 3*w^3 + w^2 - 7*w - 1]', '[607, 607, w^3 - w^2 - 2*w - 3]', '[609, 609, w^4 - 2*w^3 - 3*w^2 + w + 3]', '[609, 609, w^2 - w - 6]', '[623, 623, 3*w^2 - w - 7]', '[625, 5, 2*w^4 - 5*w^3 - 8*w^2 + 14*w + 11]', '[625, 625, -3*w^4 + 7*w^3 + 8*w^2 - 14*w - 2]', '[631, 631, -w^2 + w - 2]', '[631, 631, w^4 - 7*w^2 - w + 8]', '[633, 633, 2*w^4 - 4*w^3 - 5*w^2 + 6*w + 1]', '[633, 633, -2*w^4 + 5*w^3 + 2*w^2 - 7*w + 2]', '[637, 637, w^4 - 4*w^3 + w^2 + 10*w - 4]', '[643, 643, -2*w^4 + 4*w^3 + 9*w^2 - 10*w - 8]', '[645, 645, 3*w^4 - 7*w^3 - 7*w^2 + 14*w + 3]', '[647, 647, 3*w^4 - 6*w^3 - 10*w^2 + 12*w + 8]', '[651, 651, w^4 - 3*w^3 - 3*w^2 + 7*w + 7]', '[651, 651, 2*w^4 - 5*w^3 - 4*w^2 + 9*w + 4]', '[653, 653, -3*w^4 + 6*w^3 + 11*w^2 - 12*w - 9]', '[653, 653, w^4 - w^3 - 2*w^2 - 3*w - 3]', '[653, 653, -2*w^4 + 4*w^3 + 7*w^2 - 6*w - 8]', '[655, 655, -3*w^4 + 4*w^3 + 13*w^2 - 7*w - 12]', '[657, 657, -w^4 + 4*w^3 - 3*w^2 - 5*w + 5]', '[657, 657, -2*w^3 + 4*w^2 + 6*w - 5]', '[669, 669, w^4 - w^3 - 7*w^2 + 6*w + 7]', '[672, 42, 2*w^4 - 6*w^3 - 2*w^2 + 12*w - 6]', '[675, 675, -w^3 + w^2 + 6*w - 3]', '[679, 679, w^4 - 2*w^3 - 5*w^2 + 3*w + 8]', '[681, 681, w^4 - 2*w^3 - 3*w^2 + 7*w - 3]', '[685, 685, -2*w^3 + 5*w^2 + 3*w - 5]', '[687, 687, 2*w^4 - 5*w^3 - 6*w^2 + 9*w + 6]', '[687, 687, -3*w^4 + 7*w^3 + 11*w^2 - 16*w - 11]', '[689, 689, -w^4 + 4*w^3 + w^2 - 9*w - 6]', '[689, 689, -2*w^4 + 6*w^3 + 3*w^2 - 12*w - 2]', '[701, 701, w^4 - w^3 - 2*w^2 - w - 5]', '[707, 707, -w^4 + 2*w^3 + 7*w^2 - 4*w - 11]', '[717, 717, w^4 - 4*w^3 + 8*w + 1]', '[719, 719, 2*w^4 - 5*w^3 - 6*w^2 + 14*w + 2]', '[721, 721, -4*w^4 + 9*w^3 + 15*w^2 - 21*w - 15]', '[721, 721, -w^4 + 4*w^3 - w^2 - 8*w + 8]', '[721, 721, w^4 - w^3 - 8*w^2 + 5*w + 11]', '[723, 723, w^4 - 2*w^3 - w^2 + 2]', '[725, 725, -w^4 + 6*w^2 + w - 5]', '[725, 725, -w^3 + 2*w^2 - w + 2]', '[727, 727, 2*w^4 - 5*w^3 - 5*w^2 + 9*w + 3]', '[729, 9, 3*w^4 - 6*w^3 - 12*w^2 + 15*w + 9]', '[729, 729, w^3 - 2*w^2 - 3*w + 7]', '[733, 733, 2*w^4 - 5*w^3 - 5*w^2 + 13*w + 3]', '[735, 735, w^4 - 2*w^3 - 5*w^2 + 8*w + 4]', '[739, 739, -2*w^3 + 4*w^2 + 4*w - 5]', '[743, 743, w^4 - 2*w^3 - 3*w^2 + 6*w - 3]', '[743, 743, 2*w^4 - 2*w^3 - 11*w^2 + 2*w + 10]', '[745, 745, -w^4 + 2*w^3 + w^2 - w + 3]', '[745, 745, -2*w^3 + 3*w^2 + 4*w - 4]', '[747, 747, -w^4 + 2*w^3 + 4*w^2 - 9*w + 1]', '[749, 749, 3*w^4 - 8*w^3 - 6*w^2 + 16*w]', '[757, 757, -w^4 + 2*w^3 + 5*w^2 - 6*w - 10]', '[757, 757, 2*w^4 - 6*w^3 - 2*w^2 + 11*w - 4]', '[761, 761, 3*w^3 - 4*w^2 - 9*w + 3]', '[763, 763, 3*w^2 - 5]', '[763, 763, 3*w^4 - 5*w^3 - 12*w^2 + 11*w + 10]', '[769, 769, 3*w^3 - 5*w^2 - 9*w + 7]', '[769, 769, -2*w^4 + 4*w^3 + 7*w^2 - 11*w - 2]', '[771, 771, w^3 - 5*w^2 + 4*w + 3]', '[773, 773, 2*w^4 - 5*w^3 - 6*w^2 + 12*w + 1]', '[773, 773, 3*w^4 - 4*w^3 - 12*w^2 + 3*w + 5]', '[773, 773, 2*w^3 - w^2 - 10*w - 4]', '[775, 775, w^4 - w^3 - 5*w^2 - w + 4]', '[775, 775, w^4 - 2*w^3 - 3*w^2 + w + 5]', '[783, 783, 2*w^4 - 3*w^3 - 8*w^2 + 4*w + 8]', '[783, 783, -3*w^4 + 7*w^3 + 9*w^2 - 16*w - 3]', '[789, 789, 2*w^4 - 6*w^3 - w^2 + 11*w - 6]', '[795, 795, w^4 - 3*w^3 + 4*w - 5]', '[795, 795, w^3 + w^2 - 8*w - 6]', '[797, 797, -w^4 + 4*w^3 + 2*w^2 - 12*w - 3]', '[800, 50, -2*w^3 + 2*w^2 + 6*w - 4]', '[801, 801, 3*w^4 - 5*w^3 - 11*w^2 + 9*w + 7]', '[807, 807, w^4 - 3*w^3 - 2*w^2 + 8*w - 4]', '[807, 807, w^3 - 4*w^2 + w + 8]', '[811, 811, w^4 - 2*w^3 - 6*w^2 + 8*w + 4]', '[813, 813, w^4 - w^3 - 5*w^2 + 5*w]', '[815, 815, 2*w^4 - 3*w^3 - 8*w^2 + 7*w + 10]', '[819, 819, -w^4 + 2*w^3 + w^2 - 2*w + 3]', '[823, 823, w^4 - 4*w^3 - w^2 + 10*w + 1]', '[823, 823, 2*w^4 - 4*w^3 - 4*w^2 + 4*w - 3]', '[827, 827, -w^4 + 2*w^3 + 2*w^2 - w + 3]', '[827, 827, 2*w^4 - 4*w^3 - 5*w^2 + 7*w + 2]', '[829, 829, -w^4 + 4*w^3 + 2*w^2 - 10*w - 2]', '[829, 829, 3*w^3 - 3*w^2 - 11*w - 2]', '[829, 829, w^4 - 2*w^3 - 3*w^2 + 2*w - 3]', '[835, 835, -2*w^3 + 2*w^2 + 8*w - 3]', '[837, 837, -w^4 + 2*w^3 + 2*w^2 - 4*w + 4]', '[837, 837, -w^4 + 8*w^2 - 7]', '[839, 839, -w^4 + 5*w^3 - 3*w^2 - 10*w + 5]', '[839, 839, -w^4 + w^3 + 5*w^2 - 9]', '[841, 29, -w^4 + 3*w^3 + 4*w^2 - 10*w - 6]', '[841, 841, w^4 - 7*w^2 + w + 4]', '[841, 841, -w^4 + 2*w^3 + 5*w^2 - 5*w - 3]', '[843, 843, w^4 - w^3 - 5*w^2 + 4*w + 1]', '[843, 843, 3*w^2 - 4*w - 2]', '[843, 843, -2*w^4 + 6*w^3 + 2*w^2 - 11*w - 1]', '[845, 65, w^4 - w^3 - 3*w^2 + 4]', '[845, 65, w^4 - 2*w^3 - 5*w^2 + 8*w + 9]', '[845, 845, -2*w^4 + 3*w^3 + 8*w^2 - 5*w - 9]', '[849, 849, 2*w^4 - 5*w^3 - 5*w^2 + 13*w + 1]', '[853, 853, 2*w^4 - 6*w^3 - 5*w^2 + 15*w + 4]', '[859, 859, -3*w^4 + 8*w^3 + 6*w^2 - 18*w + 5]', '[863, 863, w^4 - w^3 - 6*w^2 + 5*w + 2]', '[864, 54, 2*w^3 - 4*w^2 - 4*w + 6]', '[865, 865, -w^4 + 2*w^3 + 2*w^2 + 2]', '[865, 865, -w^4 + 3*w^3 + 3*w^2 - 4*w - 2]', '[865, 865, 2*w^4 - 3*w^3 - 10*w^2 + 10*w + 12]', '[867, 51, w^4 - 3*w^3 - 3*w^2 + 11*w]', '[873, 873, -2*w^4 + 4*w^3 + 8*w^2 - 11*w - 8]', '[875, 875, 2*w^4 - 4*w^3 - 5*w^2 + 6*w + 3]', '[877, 877, 3*w^3 - 4*w^2 - 8*w + 1]', '[879, 879, -3*w^4 + 6*w^3 + 11*w^2 - 13*w - 7]', '[881, 881, 3*w^4 - 7*w^3 - 9*w^2 + 15*w + 3]', '[881, 881, -w^3 + 7*w + 1]', '[883, 883, -2*w^4 + 6*w^3 + 3*w^2 - 15*w]', '[887, 887, w^4 - w^3 - 5*w^2 + w - 1]', '[895, 895, w^4 - 4*w^3 - w^2 + 8*w + 4]', '[899, 899, 2*w^4 - 2*w^3 - 9*w^2 - w + 5]', '[899, 899, w^4 - 4*w^3 - w^2 + 11*w + 4]', '[899, 899, 2*w^4 - 4*w^3 - 5*w^2 + 6*w + 2]', '[899, 899, w^2 + 2*w - 4]', '[903, 903, 4*w^4 - 12*w^3 - 3*w^2 + 26*w - 12]', '[907, 907, 3*w^4 - 5*w^3 - 11*w^2 + 9*w + 5]', '[909, 909, 3*w^4 - 6*w^3 - 11*w^2 + 15*w + 11]', '[917, 917, 3*w^4 - 7*w^3 - 12*w^2 + 17*w + 13]', '[919, 919, w^4 - 2*w^3 - 6*w^2 + 8*w + 7]', '[927, 927, -4*w^4 + 7*w^3 + 15*w^2 - 12*w - 12]', '[927, 927, 4*w^4 - 5*w^3 - 20*w^2 + 9*w + 21]', '[927, 927, -4*w^4 + 8*w^3 + 13*w^2 - 15*w - 5]', '[928, 58, -2*w^4 + 6*w^3 + 4*w^2 - 14*w - 2]', '[928, 58, -2*w^2 + 4*w + 6]', '[933, 933, w^4 - 4*w^3 - w^2 + 11*w - 4]', '[937, 937, 2*w^4 - 2*w^3 - 9*w^2 + 2*w + 3]', '[937, 937, -3*w^4 + 8*w^3 + 6*w^2 - 16*w + 1]', '[937, 937, 3*w^4 - 5*w^3 - 11*w^2 + 7*w + 4]', '[939, 939, w^4 - w^3 - 6*w^2 + 6*w]', '[945, 945, w^4 - 3*w^3 - w^2 + 8*w + 1]', '[947, 947, w^3 - w^2 - 7*w + 2]', '[947, 947, -w^4 + 2*w^3 + 4*w^2 - 7*w - 3]', '[949, 949, w^4 - 10*w^2 + 6*w + 10]', '[949, 949, -2*w^4 + 5*w^3 + 3*w^2 - 7*w + 3]', '[955, 955, -3*w^2 + 4*w + 4]', '[959, 959, 3*w^4 - 8*w^3 - 6*w^2 + 17*w + 2]', '[961, 31, 2*w^4 - 6*w^3 - w^2 + 12*w - 8]', '[961, 961, -w^4 + 2*w^3 + 5*w^2 - 4*w - 9]', '[961, 961, -w^4 + w^3 + 6*w^2 - 3*w - 2]', '[963, 963, 2*w^4 - 5*w^3 - 3*w^2 + 8*w - 5]', '[965, 965, -2*w^4 + 4*w^3 + 5*w^2 - 8*w - 4]', '[965, 965, w^4 - 3*w^3 - 4*w^2 + 6*w + 7]', '[967, 967, -w^4 + 4*w^3 - 11*w]', '[971, 971, 3*w^4 - 6*w^3 - 8*w^2 + 10*w]', '[971, 971, w^4 - 8*w^2 + 2*w + 9]', '[971, 971, w^4 - 4*w^3 + 2*w^2 + 7*w - 4]', '[975, 975, -2*w^4 + 4*w^3 + 9*w^2 - 9*w - 8]', '[977, 977, -w^4 + 4*w^3 - 12*w + 5]', '[981, 981, w^4 - 3*w^3 - 2*w^2 + 9*w + 4]', '[981, 981, -w^4 + 4*w^3 - w^2 - 6*w + 4]', '[983, 983, -w^4 + w^3 + 4*w^2 + 3*w - 2]', '[983, 983, -2*w^4 + 3*w^3 + 8*w^2 - 6*w - 4]', '[992, 62, 2*w^4 - 4*w^3 - 6*w^2 + 10*w]', '[992, 62, 2*w^3 - 4*w^2 - 6*w + 4]', '[993, 993, -w^4 + 4*w^3 - 2*w^2 - 7*w + 3]', '[995, 995, w^3 + w^2 - 5*w - 2]', '[995, 995, 2*w^4 - 3*w^3 - 9*w^2 + 8*w + 7]', '[995, 995, w^4 - 2*w^3 - 3*w^2 + 3*w + 6]', '[997, 997, 2*w^4 - 4*w^3 - 5*w^2 + 5*w - 3]', '[997, 997, w^4 + w^3 - 5*w^2 - 9*w - 2]', '[1009, 1009, -w^4 + w^3 + 4*w^2 - 5]', '[1015, 1015, w^4 - 3*w^3 - 2*w^2 + 5*w + 6]', '[1015, 1015, 2*w^4 - 3*w^3 - 8*w^2 + 6*w + 2]', '[1019, 1019, 3*w^4 - 4*w^3 - 11*w^2 + 4*w + 3]', '[1024, 4, 4]', '[1029, 1029, -w^4 + w^3 + 7*w^2 - 2*w - 8]', '[1043, 1043, 4*w^4 - 6*w^3 - 18*w^2 + 12*w + 19]', '[1043, 1043, 2*w^4 - 3*w^3 - 6*w^2 + 3*w + 2]', '[1049, 1049, -w^4 + 2*w^3 + 4*w^2 - 2*w - 5]', '[1049, 1049, -w^4 + 4*w^3 + w^2 - 12*w - 3]', '[1051, 1051, 2*w^3 - w^2 - 9*w - 2]', '[1053, 39, -w^4 + w^3 + 8*w^2 - 9*w - 4]', '[1053, 1053, -w^3 + 4*w^2 + w - 4]', '[1055, 1055, 2*w^4 - 5*w^3 - 3*w^2 + 6*w - 2]', '[1055, 1055, w^4 - 2*w^3 - 3*w^2 + 2]', '[1061, 1061, -2*w^4 + 3*w^3 + 7*w^2 - 5*w + 2]', '[1069, 1069, w^4 - 2*w^3 - w^2 + 3*w - 6]', '[1069, 1069, -w^4 + 3*w^3 + 4*w^2 - 9*w - 5]', '[1069, 1069, w^4 - 2*w^3 - w^2 + 2*w - 4]', '[1075, 1075, 2*w^4 - 4*w^3 - 2*w^2 + 10*w - 7]', '[1077, 1077, 2*w^2 - 7*w + 2]', '[1079, 1079, w^4 - 4*w^3 + 3*w^2 + 5*w - 3]', '[1085, 1085, -2*w^4 + 5*w^3 + 5*w^2 - 13*w - 2]', '[1085, 1085, -2*w^4 + 4*w^3 + 6*w^2 - 9*w - 6]', '[1093, 1093, -2*w^4 + 4*w^3 + 6*w^2 - 4*w - 5]', '[1095, 1095, 2*w^4 - 5*w^3 - 6*w^2 + 9*w + 9]', '[1095, 1095, w^4 - 5*w^3 + w^2 + 13*w - 1]', '[1097, 1097, -w^4 + w^3 + 6*w^2 - 4*w - 9]', '[1103, 1103, w^2 - 4*w - 2]', '[1109, 1109, w^4 - 6*w^2 - 3*w + 6]', '[1113, 1113, 5*w^4 - 13*w^3 - 11*w^2 + 28*w]', '[1113, 1113, 2*w^4 - 3*w^3 - 9*w^2 + 4*w + 9]', '[1115, 1115, 5*w^4 - 9*w^3 - 19*w^2 + 17*w + 19]', '[1117, 1117, -w^4 + 2*w^3 + 5*w^2 - 6*w - 2]', '[1117, 1117, -2*w^4 + 3*w^3 + 6*w^2 - 4*w - 2]', '[1119, 1119, 2*w^4 - 5*w^3 - 5*w^2 + 9*w + 2]', '[1119, 1119, -2*w^3 + w^2 + 9*w + 7]', '[1120, 70, -2*w^4 + 2*w^3 + 10*w^2 - 2*w - 10]', '[1123, 1123, 3*w^4 - 6*w^3 - 9*w^2 + 12*w + 4]', '[1123, 1123, w^3 - w^2 - 4*w - 4]', '[1123, 1123, 2*w^4 - 4*w^3 - 7*w^2 + 6*w + 5]', '[1125, 1125, w^4 - w^3 - 2*w^2 - 3*w - 4]', '[1131, 1131, -3*w^4 + 6*w^3 + 10*w^2 - 11*w - 5]', '[1131, 1131, w^4 - 3*w^3 - w^2 + 7*w + 2]', '[1135, 1135, -w^3 + 4*w^2 + w - 5]', '[1137, 1137, 2*w^4 - 4*w^3 - 4*w^2 + 5*w - 2]', '[1137, 1137, w^4 - 2*w^3 - 4*w^2 + 7*w + 4]', '[1137, 1137, 2*w^4 - 6*w^3 - 2*w^2 + 8*w + 1]', '[1141, 1141, -3*w^4 + 7*w^3 + 12*w^2 - 16*w - 11]', '[1145, 1145, w^4 - 3*w^3 + 2*w^2 + 2*w - 4]', '[1145, 1145, w^3 - 4*w^2 - 2*w + 7]', '[1149, 1149, -4*w^4 + 11*w^3 + 4*w^2 - 19*w + 2]', '[1149, 1149, w^4 - 3*w^3 - 3*w^2 + 10*w + 4]', '[1149, 1149, w^4 - 3*w^3 - 4*w^2 + 8*w + 1]', '[1151, 1151, -4*w^4 + 12*w^3 + 5*w^2 - 26*w + 9]', '[1153, 1153, 4*w^3 - 6*w^2 - 11*w + 3]', '[1157, 1157, -w^4 + 4*w^3 + w^2 - 10*w - 2]', '[1161, 1161, -w^4 + 4*w^3 - 4*w^2 - 7*w + 11]', '[1167, 1167, 2*w^4 - 3*w^3 - 12*w^2 + 8*w + 17]', '[1169, 1169, 3*w^2 - 2*w - 9]', '[1179, 1179, -4*w^4 + 5*w^3 + 19*w^2 - 8*w - 18]', '[1183, 91, -2*w^4 + 6*w^3 + 6*w^2 - 15*w - 2]', '[1183, 91, -3*w^4 + 6*w^3 + 12*w^2 - 12*w - 11]', '[1183, 1183, 3*w^4 - 7*w^3 - 7*w^2 + 12*w + 4]', '[1187, 1187, -w^2 + 2*w - 3]', '[1191, 1191, w^4 - 3*w^3 - 2*w^2 + 3*w + 4]', '[1191, 1191, w^4 - 4*w^3 - w^2 + 9*w + 1]', '[1191, 1191, w^4 - 3*w^3 - w^2 + 4*w + 5]', '[1193, 1193, w^4 - w^3 - 4*w^2 - 3]', '[1195, 1195, 2*w^4 - 2*w^3 - 11*w^2 + 3*w + 7]', '[1201, 1201, 3*w^4 - 7*w^3 - 7*w^2 + 14*w + 2]', '[1205, 1205, w^3 - 3*w^2 + 2*w + 5]', '[1209, 1209, w^4 - 2*w^3 - 4*w^2 + 2*w + 6]', '[1209, 1209, 3*w^4 - 5*w^3 - 11*w^2 + 8*w + 8]', '[1211, 1211, 2*w^3 - 2*w^2 - 3*w + 4]', '[1211, 1211, -2*w^4 + 5*w^3 + 5*w^2 - 9*w - 1]', '[1211, 1211, -3*w^4 + 6*w^3 + 13*w^2 - 12*w - 15]', '[1213, 1213, 3*w^4 - 5*w^3 - 12*w^2 + 12*w + 10]', '[1213, 1213, w^4 - 7*w^2 - 4*w + 12]', '[1213, 1213, w^4 - 3*w^3 - 4*w^2 + 9*w + 2]', '[1215, 15, 3*w - 6]', '[1215, 1215, -2*w^4 + 3*w^3 + 6*w^2 - 4*w - 3]', '[1217, 1217, -w - 4]', '[1223, 1223, -w^4 + w^3 + 7*w^2 - 2*w - 7]', '[1225, 1225, w^4 - 3*w^3 + w^2 + 5*w - 6]', '[1227, 1227, -2*w^3 + 7*w^2 - 8]', '[1229, 1229, w^4 - 8*w^2 + w + 10]', '[1233, 1233, -3*w^3 + 6*w^2 + 8*w - 8]', '[1237, 1237, w^4 - 2*w^3 - w^2 - 5]', '[1237, 1237, 2*w^4 - 2*w^3 - 9*w^2 + w + 7]', '[1245, 1245, -2*w^4 + 4*w^3 + 4*w^2 - 5*w - 1]', '[1247, 1247, -5*w^4 + 12*w^3 + 12*w^2 - 26*w - 4]', '[1247, 1247, w^4 - w^3 - 9*w^2 + 5*w + 12]', '[1248, 78, 2*w^4 - 6*w^3 + 8*w - 4]', '[1253, 1253, -w^4 + 7*w^2 - w - 7]', '[1257, 1257, -w^4 + 5*w^3 - 2*w^2 - 8*w + 3]', '[1257, 1257, -w^4 + 4*w^3 + 2*w^2 - 11*w]', '[1257, 1257, 3*w^4 - 8*w^3 - 4*w^2 + 11*w + 1]', '[1261, 1261, w^4 - w^3 - 7*w^2 + 5*w + 4]', '[1277, 1277, w^4 - w^3 - 2*w^2 - 2*w - 3]', '[1277, 1277, w^4 - 3*w^3 + w^2 + 3*w - 6]', '[1279, 1279, w^4 - 7*w^2 + w + 3]', '[1279, 1279, -w^4 + w^3 + 5*w^2 + w - 5]', '[1283, 1283, 3*w^4 - 7*w^3 - 7*w^2 + 12*w + 1]', '[1285, 1285, 3*w^4 - 7*w^3 - 8*w^2 + 11*w + 8]', '[1289, 1289, -3*w^4 + 5*w^3 + 8*w^2 - 4*w + 1]', '[1291, 1291, -w^4 + w^3 + 5*w^2 + w - 7]', '[1291, 1291, -w^4 + 2*w^3 + 3*w^2 - 3*w + 3]', '[1291, 1291, -2*w^4 + 4*w^3 + 6*w^2 - 5*w - 1]', '[1297, 1297, -2*w^4 + 2*w^3 + 9*w^2 - 3*w - 5]', '[1299, 1299, 2*w^4 - 7*w^3 - 3*w^2 + 16*w - 5]', '[1299, 1299, w^4 - 3*w^3 + w^2 + 3*w - 5]', '[1301, 1301, w^4 - w^3 - 7*w^2 + 3*w + 5]', '[1303, 1303, 2*w^3 - 3*w^2 - 7*w + 6]', '[1305, 1305, 2*w^2 - 5*w - 3]', '[1305, 1305, -w^4 + w^3 + 2*w^2 + w + 3]', '[1307, 1307, 2*w^3 - w^2 - 8*w]', '[1307, 1307, 3*w^2 - 4*w - 7]', '[1307, 1307, -3*w^4 + 8*w^3 + 6*w^2 - 20*w + 2]', '[1313, 1313, -2*w^4 + 4*w^3 + 8*w^2 - 9*w - 5]', '[1315, 1315, -2*w^4 + 3*w^3 + 9*w^2 - 4*w - 10]', '[1317, 1317, -3*w^4 + 8*w^3 + 6*w^2 - 16*w - 4]', '[1319, 1319, -w^4 + 2*w^3 + 5*w^2 - 8*w - 5]', '[1319, 1319, w^4 - 5*w^3 + 4*w^2 + 7*w - 5]', '[1323, 1323, 2*w^4 - 4*w^3 - 6*w^2 + 8*w - 3]', '[1325, 1325, -w^3 - 2*w^2 + 5*w + 6]', '[1325, 1325, 2*w^4 - 6*w^3 - 5*w^2 + 15*w + 1]', '[1327, 1327, w^3 - w^2 - w - 3]', '[1333, 1333, 3*w^4 - 9*w^3 - 8*w^2 + 23*w - 1]', '[1333, 1333, -w^4 + 5*w^3 - 2*w^2 - 10*w + 7]', '[1335, 1335, w^4 - 2*w^3 - 2*w^2 + w - 4]', '[1337, 1337, -w^4 + w^3 + 4*w^2 - 6]', '[1339, 1339, 2*w^4 - 7*w^3 - w^2 + 13*w + 4]', '[1339, 1339, 2*w^4 - 7*w^3 - 2*w^2 + 18*w]', '[1339, 1339, 3*w^2 - 3*w - 10]', '[1341, 1341, 2*w^4 - 5*w^3 - 4*w^2 + 10*w + 3]', '[1341, 1341, -w^4 + 3*w^3 - 6*w - 2]', '[1345, 1345, -w^4 + 7*w^2 - 7]', '[1345, 1345, 5*w^4 - 8*w^3 - 21*w^2 + 14*w + 20]', '[1347, 1347, 3*w^4 - 8*w^3 - 6*w^2 + 15*w + 2]', '[1351, 1351, -w^4 + 3*w^3 - 2*w^2 - 6*w + 8]', '[1351, 1351, -3*w^4 + 5*w^3 + 11*w^2 - 12*w - 8]', '[1355, 1355, w^4 - 3*w^3 + 6*w + 1]', '[1361, 1361, 2*w^4 - 12*w^2 - 7*w + 4]', '[1361, 1361, -w^4 + 7*w^2 - 8]', '[1361, 1361, -w^3 + w^2 + 3*w - 5]', '[1365, 1365, 2*w^3 - 5*w^2 - 4*w + 7]', '[1369, 37, 2*w^4 - 7*w^3 + 15*w - 5]', '[1371, 1371, 3*w^4 - 9*w^3 - 4*w^2 + 16*w]', '[1376, 86, -2*w^2 - 2*w + 8]', '[1389, 1389, -3*w^4 + 9*w^3 + 2*w^2 - 15*w + 1]', '[1391, 1391, -2*w^4 + 8*w^3 - 2*w^2 - 16*w + 5]', '[1393, 1393, 2*w^3 - 2*w^2 - 6*w + 5]', '[1393, 1393, -w^3 + 4*w^2 + 3*w - 11]', '[1393, 1393, -3*w^4 + 7*w^3 + 10*w^2 - 17*w - 5]', '[1395, 1395, 2*w^4 - 3*w^3 - 8*w^2 + 7*w + 5]', '[1395, 1395, -2*w^4 + 4*w^3 + 7*w^2 - 9*w]', '[1399, 1399, w^3 - 7*w - 2]', '[1401, 1401, 3*w^4 - 7*w^3 - 5*w^2 + 8*w + 4]', '[1405, 1405, -2*w^4 + 5*w^3 + 6*w^2 - 8*w - 6]', '[1405, 1405, -2*w^4 + 2*w^3 + 11*w^2 - 5*w - 8]', '[1405, 1405, w^4 - 3*w^3 - w^2 + 7*w + 3]', '[1415, 1415, 3*w^4 - 5*w^3 - 11*w^2 + 9*w + 8]', '[1417, 1417, w^4 - w^3 - 8*w^2 + 5*w + 7]', '[1417, 1417, -2*w^4 + 4*w^3 + 6*w^2 - 5*w - 2]', '[1421, 1421, w^4 - w^3 - 2*w^2 - w - 4]', '[1421, 1421, w^3 - 6*w + 3]', '[1427, 1427, 2*w^4 - 6*w^3 - 4*w^2 + 13*w + 2]', '[1431, 1431, -3*w^4 + 8*w^3 + 7*w^2 - 17*w - 4]', '[1431, 1431, -2*w^4 + 5*w^3 + 7*w^2 - 11*w - 11]', '[1433, 1433, 3*w^4 - 10*w^3 - 2*w^2 + 22*w - 8]', '[1433, 1433, w^4 - 4*w^3 + 2*w^2 + 8*w - 6]', '[1437, 1437, -w^4 + 4*w^3 + w^2 - 9*w - 4]', '[1437, 1437, -3*w^2 + 4*w + 8]', '[1440, 90, -2*w^4 + 6*w^3 + 2*w^2 - 12*w]', '[1445, 85, 5*w^4 - 13*w^3 - 12*w^2 + 29*w + 4]', '[1447, 1447, -w^4 + 2*w^3 + 6*w^2 - 8*w - 6]', '[1451, 1451, w^3 + w^2 - 6*w - 3]', '[1455, 1455, w^4 - w^3 - 4*w^2 - w + 5]', '[1465, 1465, -w^4 + 2*w^3 + 2*w^2 - 4*w + 5]', '[1467, 1467, 2*w^4 - 3*w^3 - 10*w^2 + 8*w + 15]', '[1471, 1471, -w^3 + 3*w^2 - 7]', '[1471, 1471, -3*w^4 + 6*w^3 + 9*w^2 - 9*w - 5]', '[1471, 1471, -w^4 + 4*w^3 + 2*w^2 - 11*w - 4]', '[1473, 1473, w^4 - 2*w^3 + w - 3]', '[1477, 1477, -w^4 + 2*w^3 + 3*w^2 - 7*w - 1]', '[1477, 1477, -w^4 + w^3 + 6*w^2 - 7]', '[1481, 1481, 2*w^2 - 7]', '[1481, 1481, 4*w^4 - 4*w^3 - 16*w^2 - w + 3]', '[1481, 1481, -2*w^2 + 3*w - 2]', '[1483, 1483, 2*w^4 - 5*w^3 - 4*w^2 + 7*w + 1]', '[1503, 1503, -2*w^4 + 5*w^3 + 6*w^2 - 12*w]', '[1505, 1505, -2*w^4 + 3*w^3 + 12*w^2 - 6*w - 18]', '[1509, 1509, -w^4 + 2*w^3 + 2*w^2 - 3*w + 6]', '[1509, 1509, 2*w^4 - 7*w^3 + 3*w^2 + 8*w - 6]', '[1515, 1515, -w^4 + 6*w^2 + 2*w - 7]', '[1519, 1519, -w^4 + w^3 + 4*w^2 + w + 3]', '[1519, 1519, -w + 5]', '[1521, 117, w^4 - 3*w^3 - 5*w^2 + 12*w + 13]', '[1521, 117, 2*w^3 - 3*w^2 - 6*w + 7]', '[1521, 1521, 2*w^4 - 3*w^3 - 7*w^2 + 6*w + 2]', '[1523, 1523, -w^3 + 2*w^2 + 2*w - 7]', '[1523, 1523, w^3 - 2*w^2 - 5*w + 4]', '[1527, 1527, w^4 - w^3 - 6*w^2 + 2*w + 1]', '[1527, 1527, -2*w^4 + 4*w^3 + 7*w^2 - 12*w]', '[1531, 1531, w^4 - w^3 - 3*w^2 - 4]', '[1533, 1533, -3*w^4 + 5*w^3 + 13*w^2 - 13*w - 11]', '[1533, 1533, 4*w^4 - 13*w^3 - 4*w^2 + 30*w - 8]', '[1537, 1537, -3*w^4 + 6*w^3 + 10*w^2 - 10*w - 8]', '[1537, 1537, 3*w^4 - 4*w^3 - 14*w^2 + 8*w + 11]', '[1537, 1537, -5*w^4 + 8*w^3 + 20*w^2 - 11*w - 16]', '[1537, 1537, -w^4 + 5*w^3 - 3*w^2 - 11*w + 9]', '[1543, 1543, -w^4 + 2*w^3 + 4*w^2 - 8*w - 1]', '[1545, 1545, -2*w^4 + 6*w^3 + 5*w^2 - 17*w - 7]', '[1545, 1545, -w^4 + 2*w^3 + 2*w + 6]', '[1545, 1545, -3*w^4 + 6*w^3 + 7*w^2 - 9*w + 5]', '[1553, 1553, 2*w^3 - 4*w^2 - 7*w + 7]', '[1555, 1555, -w^3 + 2*w^2 - 5]', '[1557, 1557, -2*w^4 + 3*w^3 + 6*w^2 - w + 3]', '[1557, 1557, -2*w^4 + 4*w^3 + 7*w^2 - 6*w - 3]', '[1557, 1557, 3*w^4 - 6*w^3 - 13*w^2 + 17*w + 17]', '[1559, 1559, 2*w^4 - 6*w^3 - 6*w^2 + 19*w + 5]', '[1561, 1561, -4*w^4 + 7*w^3 + 20*w^2 - 18*w - 24]', '[1565, 1565, w^4 - 4*w^3 + w^2 + 8*w + 1]', '[1568, 98, 2*w^3 - 6*w^2 - 2*w + 8]', '[1569, 1569, -5*w^4 + 13*w^3 + 9*w^2 - 26*w]', '[1569, 1569, -4*w^4 + 12*w^3 + 4*w^2 - 21*w]', '[1569, 1569, w^4 - 3*w^3 + 2*w - 3]', '[1571, 1571, -w^4 + 3*w^3 + 4*w^2 - 9*w - 4]', '[1575, 1575, 3*w^4 - 6*w^3 - 9*w^2 + 11*w + 4]', '[1579, 1579, 2*w^4 - 6*w^3 - 4*w^2 + 17*w - 1]', '[1583, 1583, w^4 - 2*w^3 - 2*w^2 + 5*w - 4]', '[1587, 69, 2*w^3 - 4*w^2 - 3*w + 8]', '[1589, 1589, 3*w^4 - 7*w^3 - 7*w^2 + 15*w + 3]', '[1597, 1597, -w^4 + 2*w^3 + 5*w^2 - 8*w - 6]', '[1603, 1603, -5*w^4 + 8*w^3 + 21*w^2 - 17*w - 23]', '[1603, 1603, -2*w^4 + 4*w^3 + 7*w^2 - 6*w - 4]', '[1605, 1605, 4*w^4 - 9*w^3 - 9*w^2 + 15*w - 1]', '[1611, 1611, w^4 - 4*w^3 - 2*w^2 + 11*w + 6]', '[1613, 1613, -3*w^4 + 7*w^3 + 7*w^2 - 13*w - 3]', '[1619, 1619, w^4 - 4*w^3 + 2*w^2 + 6*w - 7]', '[1623, 1623, -2*w^4 + 4*w^3 + 3*w^2 - 7*w - 1]', '[1625, 1625, -w^3 + 2*w + 4]', '[1635, 1635, -w^4 - w^3 + 7*w^2 + 5*w - 4]', '[1635, 1635, 2*w^4 - 3*w^3 - 7*w^2 + 4*w + 7]', '[1637, 1637, 4*w^4 - 9*w^3 - 11*w^2 + 17*w + 9]', '[1637, 1637, -w^4 + 2*w^3 + 5*w^2 - 5*w - 2]', '[1641, 1641, -w^4 + 4*w^3 - 7*w + 4]', '[1643, 1643, -2*w^4 + 6*w^3 + 3*w^2 - 14*w - 1]', '[1643, 1643, 2*w^4 - 5*w^3 - 4*w^2 + 13*w - 5]', '[1643, 1643, 2*w^3 - 2*w^2 - 8*w - 5]', '[1643, 1643, -w^4 + 4*w^3 + w^2 - 8*w - 3]', '[1655, 1655, -2*w^3 + 2*w^2 + 5*w + 3]', '[1667, 1667, -4*w^4 + 8*w^3 + 13*w^2 - 14*w - 11]', '[1667, 1667, -2*w^4 + 5*w^3 + 6*w^2 - 14*w - 3]', '[1671, 1671, 2*w^4 - 6*w^3 - 2*w^2 + 15*w - 9]', '[1673, 1673, -w^4 + 2*w^3 + 4*w^2 - 5*w - 8]', '[1677, 1677, 3*w^4 - 11*w^3 + 2*w^2 + 17*w - 8]', '[1681, 41, w^4 - 4*w^3 + w^2 + 7*w - 6]', '[1687, 1687, -2*w^4 + 5*w^3 + 6*w^2 - 9*w - 5]', '[1693, 1693, -4*w^4 + 8*w^3 + 13*w^2 - 17*w - 10]', '[1696, 106, -2*w^4 + 2*w^3 + 12*w^2 - 4*w - 10]', '[1696, 106, -2*w^4 + 4*w^3 + 8*w^2 - 10*w - 4]', '[1697, 1697, -2*w^4 + 4*w^3 + 5*w^2 - 8*w - 6]', '[1699, 1699, 3*w^4 - 5*w^3 - 14*w^2 + 13*w + 11]', '[1701, 21, 6*w^4 - 15*w^3 - 15*w^2 + 36*w]', '[1701, 1701, w^4 - w^3 - 3*w^2 - 3*w + 3]', '[1703, 1703, -w^3 - w^2 + 5*w + 8]', '[1709, 1709, -w^4 + 3*w^3 - 4*w + 6]', '[1715, 1715, w^4 - 4*w^3 - w^2 + 9*w + 2]', '[1719, 1719, w^4 - 3*w^3 - 4*w^2 + 10*w + 5]', '[1721, 1721, 3*w^4 - 8*w^3 - 7*w^2 + 19*w + 4]', '[1721, 1721, 3*w^4 - 6*w^3 - 9*w^2 + 12*w + 5]', '[1721, 1721, 2*w^3 - 2*w^2 - 9*w + 4]', '[1731, 1731, -2*w^4 + 5*w^3 + 7*w^2 - 16*w - 3]', '[1731, 1731, -w^4 + 2*w^3 + 3*w^2 - 4*w - 6]', '[1731, 1731, w^4 - 3*w^3 - w^2 + 6*w - 6]', '[1731, 1731, -3*w^4 + 7*w^3 + 5*w^2 - 13*w + 1]', '[1731, 1731, -2*w^3 + w^2 + 9*w + 1]', '[1733, 1733, -w^3 + 5*w^2 - 2*w - 10]', '[1737, 1737, w^4 - 2*w^3 - 6*w^2 + 5*w + 11]', '[1737, 1737, -3*w^4 + 7*w^3 + 8*w^2 - 16*w - 5]', '[1741, 1741, -2*w^4 + 3*w^3 + 8*w^2 - 4*w - 9]', '[1743, 1743, -2*w^4 + 5*w^3 + 2*w^2 - 9*w + 4]', '[1753, 1753, w^4 - 5*w^3 + 2*w^2 + 11*w - 4]', '[1755, 1755, -w^3 + 5*w^2 - 2*w - 8]', '[1759, 1759, -2*w^4 + 6*w^3 + 4*w^2 - 15*w - 4]', '[1759, 1759, -w^3 + 5*w^2 - 5]', '[1777, 1777, w^4 - 4*w^3 - 2*w^2 + 10*w + 3]', '[1779, 1779, w^4 - w^3 - 2*w^2 - 2*w - 5]', '[1781, 1781, -3*w^4 + 8*w^3 + 3*w^2 - 11*w + 5]', '[1783, 1783, -3*w^4 + 2*w^3 + 16*w^2 + 3*w - 10]', '[1787, 1787, w^4 - 4*w^3 + 3*w^2 + 6*w - 10]', '[1789, 1789, 2*w^4 - 4*w^3 - 6*w^2 + 3*w + 4]', '[1789, 1789, -2*w^4 + 3*w^3 + 7*w^2 - 6*w - 1]', '[1791, 1791, -w^4 + 4*w^3 + 2*w^2 - 12*w - 2]', '[1791, 1791, w^3 - 3*w^2 - 2*w + 10]', '[1791, 1791, 4*w^4 - 8*w^3 - 14*w^2 + 18*w + 9]', '[1795, 1795, -2*w^4 + 4*w^3 + 3*w^2 - 2*w + 2]', '[1799, 1799, -w^4 + 9*w^2 - 3*w - 12]', '[1801, 1801, -w^4 + 2*w^3 + 5*w^2 - 6*w - 1]', '[1803, 1803, -2*w^4 + 5*w^3 + 2*w^2 - 7*w - 4]', '[1803, 1803, -2*w^4 + 6*w^3 + 3*w^2 - 10*w]', '[1811, 1811, w^4 - w^3 - 2*w^2 - 2*w - 4]', '[1821, 1821, w^4 - 2*w^3 - w^2 - w + 3]', '[1825, 1825, 2*w^4 - 6*w^3 - 4*w^2 + 13*w - 4]', '[1825, 1825, -2*w^3 + 7*w^2 - w - 5]', '[1827, 1827, w^3 - 2*w^2 - 5*w + 6]', '[1827, 1827, 2*w^3 - w^2 - 10*w]', '[1831, 1831, 2*w^4 - 6*w^3 + 7*w - 5]', '[1841, 1841, 4*w^4 - 9*w^3 - 13*w^2 + 22*w + 9]', '[1849, 1849, 2*w^4 - 4*w^3 - 7*w^2 + 8*w]', '[1855, 1855, 3*w^4 - 7*w^3 - 14*w^2 + 21*w + 22]', '[1855, 1855, 3*w^4 - 7*w^3 - 11*w^2 + 18*w + 11]', '[1861, 1861, -w^4 + 4*w^3 + w^2 - 9*w - 3]', '[1865, 1865, w^4 - 3*w^3 - 5*w^2 + 10*w + 8]', '[1865, 1865, -3*w^4 + 2*w^3 + 15*w^2 + w - 5]', '[1867, 1867, 3*w^3 - 2*w^2 - 11*w - 3]', '[1869, 1869, 4*w^4 - 10*w^3 - 10*w^2 + 21*w + 1]', '[1873, 1873, -w^4 + 4*w^3 + 2*w^2 - 11*w - 5]', '[1875, 15, -3*w^4 + 5*w^3 + 12*w^2 - 11*w - 9]', '[1875, 1875, w^4 - 2*w^3 - 3*w^2 + 7*w + 3]', '[1877, 1877, 2*w^4 - 3*w^3 - 9*w^2 + 8*w + 6]', '[1877, 1877, 2*w^4 - 5*w^3 - 5*w^2 + 9*w + 9]', '[1883, 1883, 3*w^4 - 8*w^3 - 8*w^2 + 18*w + 5]', '[1883, 1883, -5*w^4 + 10*w^3 + 21*w^2 - 25*w - 23]', '[1885, 1885, -2*w^4 + 4*w^3 + 4*w^2 - 5*w + 4]', '[1885, 1885, 3*w^4 - 6*w^3 - 9*w^2 + 10*w + 6]', '[1889, 1889, 2*w^4 - w^3 - 10*w^2 - 2*w + 7]', '[1893, 1893, -2*w^4 + w^3 + 11*w^2 + w - 8]', '[1893, 1893, w^4 - 3*w^3 + w^2 + 5*w - 7]', '[1895, 1895, -w^4 + w^3 + 3*w^2 + 2*w - 3]', '[1895, 1895, -4*w^2 + 5*w + 6]', '[1895, 1895, w^4 - 4*w^3 + 9*w - 7]', '[1897, 1897, w^4 - 3*w^3 + w^2 + 6*w - 4]', '[1899, 1899, w^4 - 6*w^2 - 5*w + 4]', '[1899, 1899, -2*w^4 + 7*w^3 + w^2 - 13*w + 1]', '[1901, 1901, 2*w^4 - 5*w^3 - 4*w^2 + 8*w + 7]', '[1901, 1901, -2*w^4 + 6*w^3 + 6*w^2 - 17*w - 12]', '[1911, 1911, -2*w^4 + 4*w^3 + 7*w^2 - 11*w - 7]', '[1915, 1915, -w^4 + 7*w^2 - 4*w - 4]', '[1915, 1915, w^4 - 4*w^3 - 3*w^2 + 9*w + 5]', '[1915, 1915, -w^4 + 5*w^2 + 5*w - 4]', '[1929, 1929, 2*w^4 - 3*w^3 - 9*w^2 + 10*w + 6]', '[1931, 1931, w^4 - 2*w^3 + w^2 - 2*w - 3]', '[1935, 1935, -4*w^4 + 12*w^3 + 6*w^2 - 23*w]', '[1937, 1937, -w^4 + 4*w^2 + 2*w + 2]', '[1937, 1937, 3*w^4 - 6*w^3 - 11*w^2 + 10*w + 12]', '[1941, 1941, -3*w^4 + 8*w^3 + 7*w^2 - 16*w - 5]', '[1945, 1945, -3*w^4 + 7*w^3 + 9*w^2 - 14*w - 6]', '[1949, 1949, w^4 - 3*w^3 + w^2 + 5*w - 8]', '[1951, 1951, w^4 + w^3 - 9*w^2 - 4*w + 7]', '[1951, 1951, w^4 - 2*w^3 - 3*w^2 + 7*w + 2]', '[1953, 1953, -2*w^4 + 4*w^3 + 5*w^2 - 4*w - 6]', '[1953, 1953, w^4 - 5*w^3 + 3*w^2 + 10*w - 6]', '[1959, 1959, 3*w^4 - 7*w^3 - 8*w^2 + 15*w + 6]', '[1959, 1959, -w^4 + 3*w^3 + 4*w^2 - 11*w - 4]', '[1959, 1959, 3*w^3 - 6*w^2 - 4*w + 4]', '[1965, 1965, w^4 - 4*w^3 - 2*w^2 + 14*w + 6]', '[1967, 1967, w^4 - 2*w^3 - 5*w^2 + 4*w + 10]', '[1967, 1967, w^4 - 7*w^2 + 2*w + 9]', '[1967, 1967, -w^3 + 4*w^2 + 2*w - 6]', '[1971, 1971, 2*w^4 - 4*w^3 - 9*w^2 + 9*w + 14]', '[1971, 1971, -2*w^4 + 6*w^3 + 2*w^2 - 11*w + 5]', '[1979, 1979, w^4 - 3*w^3 - w^2 + 8*w + 2]', '[1979, 1979, 3*w^3 - 4*w^2 - 10*w - 2]', '[1981, 1981, -w^3 + 5*w^2 + w - 12]', '[1985, 1985, 3*w^4 - 3*w^3 - 17*w^2 + 7*w + 15]', '[1985, 1985, w^4 - 2*w^3 - 8*w^2 + 8*w + 11]', '[1985, 1985, 2*w^4 - 3*w^3 - 10*w^2 + 5*w + 7]', '[1987, 1987, 2*w^4 - w^3 - 12*w^2 - w + 7]', '[1987, 1987, -w^4 + 4*w^3 + w^2 - 13*w - 1]', '[1993, 1993, -w^4 + w^3 + 8*w^2 - 8*w - 7]', '[1997, 1997, 3*w^4 - 6*w^3 - 9*w^2 + 10*w + 7]', '[2007, 2007, 7*w^4 - 12*w^3 - 29*w^2 + 24*w + 28]', '[2015, 2015, w^4 - 2*w^3 - w^2 - w - 4]', '[2015, 2015, 3*w^2 - 5*w - 2]', '[2016, 126, -2*w^2 - 2*w + 4]', '[2017, 2017, 3*w^2 - 3*w - 7]', '[2017, 2017, 2*w^3 - w^2 - 9*w]', '[2023, 119, w^4 - 3*w^3 + w^2 + 4*w - 8]', '[2025, 75, 4*w^4 - 10*w^3 - 8*w^2 + 21*w + 1]', '[2025, 2025, -2*w^4 + 5*w^3 + 5*w^2 - 11*w - 6]', '[2029, 2029, 2*w^4 - 3*w^3 - 6*w^2 + w - 4]', '[2029, 2029, 3*w^4 - 4*w^3 - 12*w^2 + 6*w + 6]', '[2037, 2037, -3*w^4 + 8*w^3 + 8*w^2 - 20*w - 2]', '[2043, 2043, -2*w^3 + 5*w^2 + 5*w - 8]', '[2045, 2045, -4*w^4 + 9*w^3 + 14*w^2 - 18*w - 18]', '[2051, 2051, 5*w^4 - 7*w^3 - 25*w^2 + 15*w + 29]', '[2053, 2053, -4*w^4 + 6*w^3 + 17*w^2 - 8*w - 12]', '[2053, 2053, -4*w^4 + 10*w^3 + 9*w^2 - 20*w]', '[2055, 2055, 2*w^4 - 8*w^3 + 19*w - 1]', '[2061, 2061, -3*w^4 + 7*w^3 + 5*w^2 - 11*w - 4]', '[2061, 2061, 4*w^4 - 8*w^3 - 12*w^2 + 17*w + 8]', '[2067, 2067, 4*w^4 - 11*w^3 - 5*w^2 + 18*w]', '[2067, 2067, 3*w^4 - 7*w^3 - 5*w^2 + 7*w + 5]', '[2075, 2075, -2*w^4 + 6*w^3 + w^2 - 6*w + 2]', '[2080, 130, -2*w^4 + 4*w^3 + 6*w^2 - 4*w - 6]', '[2083, 2083, 2*w^4 - 2*w^3 - 12*w^2 + 7*w + 10]', '[2083, 2083, 4*w^4 - 7*w^3 - 14*w^2 + 11*w + 8]', '[2089, 2089, -2*w^3 + 5*w^2 + 6*w - 8]', '[2095, 2095, w^4 - 2*w^3 - w^2 + 3*w + 3]', '[2095, 2095, -4*w^2 + 7*w + 7]', '[2095, 2095, -w^4 + 3*w^3 + w^2 - 10*w + 3]', '[2103, 2103, 3*w^3 - 4*w^2 - 8*w + 6]', '[2107, 2107, 4*w^3 - 10*w^2 - 4*w + 15]', '[2111, 2111, 4*w^3 - 3*w^2 - 17*w - 7]', '[2111, 2111, -w^4 + 2*w^3 + 7*w^2 - 8*w - 14]', '[2113, 2113, w^4 - 5*w^3 - 2*w^2 + 16*w + 7]', '[2113, 2113, -2*w^3 + 5*w^2 + 4*w - 6]', '[2113, 2113, 3*w^4 - 6*w^3 - 8*w^2 + 13*w]', '[2117, 2117, -2*w^4 + 4*w^3 + 7*w^2 - 11*w - 5]', '[2117, 2117, -3*w^4 + 6*w^3 + 12*w^2 - 11*w - 15]', '[2117, 2117, w^4 + w^3 - 8*w^2 - 4*w + 5]', '[2117, 2117, -4*w^4 + 10*w^3 + 9*w^2 - 20*w + 1]', '[2119, 2119, -w^4 + w^3 + 6*w^2 - 8]', '[2121, 2121, 4*w^4 - 11*w^3 - 10*w^2 + 26*w + 3]', '[2129, 2129, -w^4 + 3*w^3 + 3*w^2 - 6*w - 7]', '[2131, 2131, -w^4 + w^3 + 7*w^2 - w - 14]', '[2151, 2151, 4*w^4 - 5*w^3 - 18*w^2 + 6*w + 10]', '[2153, 2153, -w^4 + 4*w^3 + 2*w^2 - 13*w - 2]', '[2157, 2157, -3*w^4 + 7*w^3 + 10*w^2 - 20*w]', '[2161, 2161, 2*w^4 - 8*w^3 + 17*w - 4]', '[2163, 2163, -w^4 + 6*w^3 - 6*w^2 - 15*w + 16]', '[2163, 2163, -9*w^4 + 23*w^3 + 19*w^2 - 50*w + 5]', '[2163, 2163, -4*w^4 + 9*w^3 + 11*w^2 - 17*w - 5]', '[2165, 2165, -3*w^4 + 5*w^3 + 12*w^2 - 7*w - 11]', '[2165, 2165, -w^4 - w^3 + 6*w^2 + 3*w - 6]', '[2169, 2169, -2*w^2 + 4*w + 7]', '[2171, 2171, -w^3 + 3*w^2 - w - 6]', '[2175, 2175, -w^4 + 2*w^3 - 2*w + 4]', '[2175, 2175, w^4 - 8*w^2 - w + 8]', '[2177, 2177, 3*w^4 - 8*w^3 - 8*w^2 + 17*w + 3]', '[2179, 2179, -w^4 - 2*w^3 + 7*w^2 + 10*w]', '[2179, 2179, 3*w^4 - 8*w^3 - 6*w^2 + 20*w - 1]', '[2179, 2179, -3*w^3 + 5*w^2 + 8*w - 5]', '[2181, 2181, -3*w^4 + 8*w^3 + 4*w^2 - 14*w - 1]', '[2187, 27, -3*w^4 + 6*w^3 + 12*w^2 - 18*w - 6]', '[2187, 2187, -3*w^4 + 5*w^3 + 10*w^2 - 8*w - 4]', '[2191, 2191, w^4 - 4*w^3 + 2*w^2 + 8*w - 5]', '[2195, 2195, -4*w^4 + 6*w^3 + 19*w^2 - 14*w - 17]', '[2197, 13, w^4 - 2*w^3 - 3*w^2 + 7*w - 4]', '[2197, 13, -2*w^4 + w^3 + 12*w^2 + w - 8]', '[2197, 2197, -w^2 - w + 7]', '[2199, 2199, -3*w^4 + 8*w^3 + 8*w^2 - 18*w - 1]', '[2203, 2203, -w^4 + w^3 + 9*w^2 - 7*w - 13]', '[2203, 2203, -w^4 + 4*w^3 + 3*w^2 - 11*w - 9]', '[2205, 2205, -2*w^4 + 5*w^3 + 5*w^2 - 7*w - 4]', '[2207, 2207, 3*w^4 - 6*w^3 - 6*w^2 + 9*w - 2]', '[2213, 2213, w^4 - 10*w^2 + 3*w + 10]', '[2217, 2217, -2*w^4 + 6*w^3 - 9*w + 5]', '[2221, 2221, -3*w^4 + 4*w^3 + 11*w^2 - 4*w - 4]', '[2221, 2221, -w^3 + 5*w^2 - 6]', '[2225, 2225, w^4 - 5*w^3 - 2*w^2 + 13*w + 1]', '[2229, 2229, -w^3 + 3*w^2 - 8]', '[2229, 2229, -w^4 + 3*w^3 + 4*w^2 - 13*w + 4]', '[2235, 2235, 3*w^4 - 4*w^3 - 14*w^2 + 9*w + 12]', '[2235, 2235, -w^3 + 2*w^2 + 7*w + 1]', '[2241, 2241, -3*w^4 + 6*w^3 + 8*w^2 - 10*w - 1]', '[2243, 2243, 3*w^4 - 7*w^3 - 5*w^2 + 10*w - 5]', '[2245, 2245, 2*w^4 - 4*w^3 - 10*w^2 + 12*w + 11]', '[2247, 2247, 8*w^4 - 22*w^3 - 13*w^2 + 47*w - 11]', '[2249, 2249, -2*w^4 + 2*w^3 + 12*w^2 - 5*w - 9]', '[2249, 2249, -4*w^3 + 7*w^2 + 11*w - 4]', '[2249, 2249, w^4 - 4*w^3 + w^2 + 9*w]', '[2263, 2263, 2*w^4 - 6*w^3 - 4*w^2 + 13*w + 3]', '[2263, 2263, -3*w^4 + 6*w^3 + 7*w^2 - 9*w + 3]', '[2263, 2263, 3*w^4 - 8*w^3 - 6*w^2 + 21*w - 3]', '[2263, 2263, w^4 - 2*w^3 - 7*w^2 + 8*w + 8]', '[2267, 2267, -w^4 + 2*w^3 + 3*w^2 - 3]', '[2271, 2271, -4*w^4 + 12*w^3 + 3*w^2 - 23*w + 6]', '[2271, 2271, w^4 - w^3 - 6*w^2 + 9]', '[2273, 2273, w^4 - 4*w^3 - 3*w^2 + 12*w + 5]', '[2275, 2275, -2*w^4 + 7*w^3 + w^2 - 14*w]', '[2279, 2279, 4*w^4 - 5*w^3 - 15*w^2 + 3*w + 3]', '[2279, 2279, w^3 - w^2 - 3*w - 5]', '[2283, 2283, 3*w^4 - 7*w^3 - 5*w^2 + 12*w - 3]', '[2285, 2285, w^4 - 2*w^3 - 7*w^2 + 8*w + 7]', '[2287, 2287, 3*w^4 - 6*w^3 - 9*w^2 + 11*w + 5]', '[2287, 2287, w^4 - 2*w^3 - w^2 + w - 9]', '[2287, 2287, 3*w^3 - 3*w^2 - 8*w - 2]', '[2289, 2289, -2*w^4 + 5*w^3 + 8*w^2 - 13*w - 7]', '[2289, 2289, 2*w^4 - 7*w^3 - 3*w^2 + 17*w]', '[2307, 2307, 3*w^4 - 8*w^3 - 4*w^2 + 16*w - 7]', '[2307, 2307, 2*w^4 - 5*w^3 - 8*w^2 + 17*w]', '[2311, 2311, -2*w^4 + 8*w^3 - w^2 - 18*w + 6]', '[2313, 2313, 4*w^4 - 8*w^3 - 14*w^2 + 15*w + 12]', '[2315, 2315, -w^4 + 8*w^2 - 3*w - 5]', '[2317, 2317, -2*w^4 + 3*w^3 + 8*w^2 - 7*w - 4]', '[2319, 2319, 2*w^4 - 4*w^3 - 6*w^2 + 4*w + 7]', '[2319, 2319, -w^4 + 4*w^3 - 10*w - 2]', '[2319, 2319, -2*w^4 + 3*w^3 + 9*w^2 - 6*w - 4]', '[2325, 2325, -w^2 + w - 3]', '[2325, 2325, 3*w^3 - 3*w^2 - 10*w - 2]', '[2327, 2327, -3*w^4 + 6*w^3 + 7*w^2 - 6*w - 3]', '[2335, 2335, w^4 - w^3 - 9*w^2 + 10*w + 13]', '[2336, 146, 2*w^4 - 2*w^3 - 12*w^2 + 4*w + 12]', '[2336, 146, 2*w^3 - 2*w^2 - 8*w + 4]', '[2349, 87, -w^4 + 4*w^3 - w^2 - 12*w + 11]', '[2349, 87, -2*w^4 + 2*w^3 + 13*w^2 - 9*w - 11]', '[2349, 2349, -w^4 + 3*w^3 + 2*w^2 - 4*w - 6]', '[2349, 2349, 2*w^4 - 4*w^3 - 5*w^2 + 9*w + 4]', '[2351, 2351, -2*w^4 + 6*w^3 + 5*w^2 - 18*w - 2]', '[2357, 2357, w^4 - 3*w^3 + w^2 + 4*w - 7]', '[2367, 2367, -2*w^4 + w^3 + 13*w^2 + w - 16]', '[2383, 2383, -3*w^4 + 6*w^3 + 11*w^2 - 12*w - 6]', '[2385, 2385, w^4 - 9*w^2 + 2*w + 6]', '[2385, 2385, -2*w^4 + 7*w^3 - w^2 - 13*w + 6]', '[2391, 2391, 3*w^4 - 6*w^3 - 9*w^2 + 13*w + 2]', '[2395, 2395, 3*w^3 - 7*w^2 - 5*w + 4]', '[2395, 2395, -3*w^4 + 6*w^3 + 8*w^2 - 7*w - 3]', '[2400, 150, -2*w^4 + 2*w^3 + 10*w^2 - 4*w - 6]', '[2401, 7, 2*w^4 - w^3 - 13*w^2 + w + 13]', '[2401, 2401, w^4 - 5*w^3 + 2*w^2 + 11*w - 7]', '[2403, 2403, -2*w^4 + 6*w^3 + 5*w^2 - 14*w - 4]', '[2407, 2407, -2*w^4 + 6*w^3 + w^2 - 14*w + 4]', '[2407, 2407, 2*w^4 - 5*w^3 - 3*w^2 + 10*w + 1]', '[2417, 2417, -3*w^2 + 3*w + 8]', '[2421, 2421, 7*w^4 - 10*w^3 - 32*w^2 + 17*w + 30]', '[2421, 2421, -w^4 - w^3 + 9*w^2 + 4*w - 11]', '[2423, 2423, 3*w^3 - 7*w^2 - 3*w + 6]', '[2425, 2425, -2*w^4 + 6*w^3 + 5*w^2 - 12*w - 2]', '[2433, 2433, w^3 - 4*w^2 - 2*w + 5]', '[2437, 2437, -2*w^4 + 4*w^3 + 5*w^2 - 7*w - 7]', '[2437, 2437, 2*w^4 - 3*w^3 - 5*w^2 + w - 2]', '[2439, 2439, w^4 - 4*w^3 + 11*w + 1]', '[2441, 2441, -4*w^4 + 5*w^3 + 20*w^2 - 8*w - 18]', '[2445, 2445, -3*w^4 + 5*w^3 + 11*w^2 - 10*w - 6]', '[2447, 2447, w^3 - 8*w]', '[2455, 2455, 2*w^4 - 6*w^3 - 2*w^2 + 7*w]', '[2457, 2457, w^4 - 5*w^3 + 2*w^2 + 9*w - 4]', '[2459, 2459, 2*w^3 - 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6]', '[2517, 2517, -5*w + 8]', '[2521, 2521, -w^4 + 4*w^3 + w^2 - 13*w + 5]', '[2523, 87, 2*w^4 - 3*w^3 - 9*w^2 + 8*w + 5]', '[2523, 2523, -2*w^4 + 4*w^3 + 5*w^2 - 8*w + 4]', '[2523, 2523, -w^3 + 4*w^2 + 3*w - 6]', '[2525, 2525, 2*w^4 - 7*w^3 - 6*w^2 + 15*w + 3]', '[2529, 2529, -3*w^4 + 6*w^3 + 11*w^2 - 11*w - 9]', '[2529, 2529, -4*w^4 + 6*w^3 + 17*w^2 - 11*w - 11]', '[2529, 2529, w^4 - 4*w^3 - w^2 + 12*w + 4]', '[2531, 2531, -w^3 + 3*w^2 + 4*w - 11]', '[2531, 2531, -3*w^4 + 7*w^3 + 6*w^2 - 10*w - 4]', '[2535, 195, -2*w^4 + 5*w^3 + 5*w^2 - 14*w]', '[2535, 195, -4*w^4 + 5*w^3 + 16*w^2 - 4*w - 7]', '[2535, 2535, 2*w^4 - 5*w^3 - 6*w^2 + 14*w + 4]', '[2543, 2543, 4*w^4 - 12*w^3 - 5*w^2 + 27*w - 4]', '[2543, 2543, w^4 - w^3 - 4*w^2 + 2*w - 3]', '[2545, 2545, w^4 + w^3 - 8*w^2 - w]', '[2545, 2545, -2*w^4 + 5*w^3 + 4*w^2 - 10*w - 4]', '[2547, 2547, 5*w^4 - 9*w^3 - 18*w^2 + 17*w + 11]', '[2551, 2551, w^4 - 4*w^2 - 8*w]', '[2551, 2551, 3*w^4 - 8*w^3 - 5*w^2 + 13*w + 1]', '[2555, 2555, w^4 - 2*w^3 - 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6]', '[2784, 174, 2*w^4 - 2*w^3 - 8*w^2 + 4*w + 4]', '[2785, 2785, -2*w^4 + 2*w^3 + 13*w^2 - 5*w - 16]', '[2795, 2795, -3*w^4 + 6*w^3 + 8*w^2 - 8*w - 11]', '[2799, 2799, w^4 - 3*w^3 + 4*w - 8]', '[2801, 2801, 2*w^4 - 5*w^3 - 5*w^2 + 8*w + 1]', '[2801, 2801, -w^4 + 2*w^3 + 4*w^2 - 8*w - 2]', '[2801, 2801, 3*w^4 - 5*w^3 - 10*w^2 + 5*w + 3]', '[2809, 53, -w^4 + 6*w^3 - 2*w^2 - 15*w + 4]', '[2809, 2809, -4*w^3 + 3*w^2 + 16*w + 5]', '[2809, 2809, 3*w^4 - 6*w^3 - 7*w^2 + 8*w]', '[2811, 2811, -w^4 + w^3 + 5*w^2 - 2*w - 9]', '[2811, 2811, -2*w^4 + 6*w^3 + 3*w^2 - 15*w - 1]', '[2811, 2811, w^3 + w^2 - 7*w - 1]', '[2813, 2813, -w^3 + 2*w^2 + 3*w - 8]', '[2813, 2813, w^4 - 2*w^3 - 7*w^2 + 9*w + 9]', '[2817, 2817, w^4 - 5*w^3 + w^2 + 14*w + 1]', '[2819, 2819, -2*w^4 + 8*w^3 - 21*w + 8]', '[2819, 2819, w^4 - 4*w^3 - 3*w^2 + 13*w + 6]', '[2821, 2821, 3*w^4 - 7*w^3 - 8*w^2 + 13*w + 3]', '[2821, 2821, -w^4 + 2*w^3 + 7*w^2 - 10*w - 9]', '[2833, 2833, 2*w^3 - w^2 - 8*w + 3]', '[2833, 2833, -3*w^4 + 6*w^3 + 10*w^2 - 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4]', '[3869, 3869, -w^4 + 2*w^3 + w - 4]', '[3869, 3869, 2*w^4 - w^3 - 11*w^2 - 2*w + 10]', '[3873, 3873, w^2 - 4*w + 6]', '[3873, 3873, w^4 - 3*w^3 - w^2 + 10*w - 4]', '[3873, 3873, 2*w^4 - 6*w^3 - w^2 + 12*w - 1]', '[3875, 3875, -w^4 + w^3 + 4*w^2 + 2*w - 7]', '[3875, 3875, w^3 - w + 4]', '[3881, 3881, -w^4 + 2*w^3 + 4*w^2 - w - 8]', '[3891, 3891, -w^3 - 2*w^2 + 6*w + 3]', '[3897, 3897, -4*w^4 + 5*w^3 + 19*w^2 - 6*w - 17]', '[3897, 3897, -4*w^3 + 6*w^2 + 11*w - 10]', '[3899, 3899, 7*w^4 - 16*w^3 - 21*w^2 + 36*w + 14]', '[3903, 3903, -2*w^3 + 5*w^2 - 2*w - 4]', '[3907, 3907, w^4 - 4*w^3 + 3*w^2 + 5*w - 10]', '[3907, 3907, w^4 - w^3 - 4*w^2 - 4]', '[3909, 3909, 2*w^4 - 5*w^3 - 4*w^2 + 13*w - 6]', '[3911, 3911, -3*w^4 + 8*w^3 + 7*w^2 - 16*w - 1]', '[3913, 3913, 4*w^4 - 9*w^3 - 16*w^2 + 24*w + 11]', '[3915, 3915, 4*w^4 - 8*w^3 - 13*w^2 + 16*w + 10]', '[3915, 3915, -2*w^4 + 5*w^3 + 2*w^2 - 9*w + 7]', '[3917, 3917, -3*w^4 + 4*w^3 + 13*w^2 - 7*w - 5]', '[3917, 3917, -w^4 + 5*w^3 - 14*w - 3]', '[3919, 3919, -3*w^4 + 7*w^3 + 9*w^2 - 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3*w^3 - 3*w^2 + 6*w + 8]', '[3981, 3981, w^4 - 2*w^3 - 2*w + 3]', '[3985, 3985, 2*w^4 - 5*w^3 - 5*w^2 + 11*w - 4]', '[3989, 3989, 5*w^4 - 9*w^3 - 19*w^2 + 18*w + 18]', '[3989, 3989, 3*w^4 - 7*w^3 - 9*w^2 + 16*w + 1]', '[3989, 3989, 4*w^4 - 11*w^3 - 5*w^2 + 19*w - 6]', '[3999, 3999, 2*w^4 - 6*w^3 - 2*w^2 + 5*w + 7]', '[3999, 3999, 4*w^4 - 11*w^3 - 3*w^2 + 21*w - 8]', '[4000, 250, -2*w^3 + 4*w^2 + 4*w + 2]', '[4005, 4005, -w^4 + 4*w^3 - 2*w^2 - 9*w + 5]', '[4007, 4007, -4*w^4 + 6*w^3 + 15*w^2 - 7*w - 2]', '[4007, 4007, 3*w^4 - 5*w^3 - 11*w^2 + 10*w + 5]', '[4011, 4011, 3*w^4 - 8*w^3 - 7*w^2 + 21*w]', '[4013, 4013, 4*w^4 - 9*w^3 - 11*w^2 + 17*w + 4]', '[4017, 4017, 3*w^3 - 6*w^2 - 7*w + 10]', '[4017, 4017, -5*w^4 + 14*w^3 + 4*w^2 - 17*w - 2]', '[4017, 4017, -5*w^4 + 13*w^3 + 10*w^2 - 26*w + 2]', '[4019, 4019, 3*w^4 - 3*w^3 - 14*w^2 + 2*w + 11]', '[4019, 4019, w^4 - 4*w^3 + 10*w + 4]', '[4019, 4019, 4*w^4 - 9*w^3 - 12*w^2 + 18*w + 7]', '[4023, 4023, w^4 + 2*w^3 - 9*w^2 - 7*w + 4]', '[4023, 4023, 5*w^4 - 8*w^3 - 21*w^2 + 16*w + 17]', '[4027, 4027, -3*w^4 + 5*w^3 + 11*w^2 - 6*w - 5]', '[4027, 4027, 2*w^4 - 6*w^3 - 4*w^2 + 14*w + 7]', '[4035, 4035, 2*w^4 - 7*w^3 - 2*w^2 + 18*w + 1]', '[4035, 4035, -w^4 + 5*w^3 + 3*w^2 - 20*w - 11]', '[4039, 4039, -w^4 + 2*w^3 - 6*w + 6]', '[4039, 4039, 2*w^2 - 4*w - 9]', '[4039, 4039, 4*w^4 - 10*w^3 - 13*w^2 + 24*w + 12]', '[4039, 4039, 4*w^4 - 9*w^3 - 16*w^2 + 21*w + 19]', '[4039, 4039, w^4 - 11*w^2 + 3*w + 20]', '[4041, 4041, 4*w^4 - 9*w^3 - 15*w^2 + 23*w + 15]', '[4043, 4043, -w^4 + 5*w^3 - 3*w^2 - 12*w + 6]', '[4049, 4049, -w^4 + w^3 + 2*w^2 + 2*w + 10]', '[4049, 4049, 3*w^4 - 7*w^3 - 10*w^2 + 14*w + 8]', '[4051, 4051, -3*w^4 + 7*w^3 + 9*w^2 - 18*w - 5]', '[4051, 4051, -3*w^4 + 5*w^3 + 12*w^2 - 11*w - 7]', '[4053, 4053, -2*w^4 + 7*w^3 + w^2 - 16*w + 10]', '[4053, 4053, -7*w^4 + 20*w^3 + 13*w^2 - 45*w + 4]', '[4055, 4055, -w^4 + 5*w^3 - w^2 - 10*w]', '[4057, 4057, 3*w^4 - 6*w^3 - 10*w^2 + 10*w + 4]', '[4057, 4057, w^4 - w^3 - 7*w^2 + 7*w + 7]', '[4061, 4061, 2*w^4 - 7*w^3 - 4*w^2 + 17*w + 2]', '[4061, 4061, -w^4 + w^3 + 3*w^2 + 3*w + 7]', '[4065, 4065, -4*w^3 + 6*w^2 + 11*w - 4]', '[4067, 4067, -w^4 + 5*w^3 - 4*w^2 - 10*w + 3]', '[4069, 4069, -4*w^4 + 9*w^3 + 8*w^2 - 11*w]', '[4073, 4073, 2*w^4 - 4*w^3 - 4*w^2 + 3*w - 4]', '[4075, 4075, -w^4 + 2*w^3 - 2*w^2 - 5*w + 8]', '[4079, 4079, 3*w^4 - 6*w^3 - 9*w^2 + 14*w + 2]', '[4079, 4079, w^4 + w^3 - 6*w^2 - 8*w + 4]', '[4083, 4083, -w^4 + 2*w^3 + 2*w^2 - 8*w + 5]', '[4083, 4083, 2*w^4 - 4*w^3 - 5*w^2 + 3*w - 2]', '[4083, 4083, w^4 - 3*w^3 + 2*w^2 + 4*w - 7]', '[4091, 4091, 2*w^2 - 5*w - 7]', '[4091, 4091, w^4 + w^3 - 9*w^2 - 5*w + 8]', '[4095, 4095, -w^4 + 2*w^3 + 2*w^2 - 4*w - 5]', '[4107, 111, 5*w^4 - 15*w^3 - 3*w^2 + 27*w - 5]', '[4111, 4111, 2*w^4 - 4*w^3 - 5*w^2 + 8*w - 5]', '[4111, 4111, -2*w^4 + 5*w^3 + 4*w^2 - 9*w + 6]', '[4113, 4113, 3*w^4 - 7*w^3 - 11*w^2 + 18*w + 9]', '[4115, 4115, -w^4 + 2*w^3 + 4*w^2 - 8*w - 5]', '[4115, 4115, -2*w^3 + 3*w^2 + 5*w + 4]', '[4127, 4127, -2*w^4 + 3*w^3 + 9*w^2 - 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4*w^2 + 10*w - 6]', '[4192, 262, 2*w^4 - 2*w^3 - 12*w^2 + 2*w + 12]', '[4195, 4195, -2*w^4 + 4*w^3 + 5*w^2 - 2*w - 6]', '[4195, 4195, 2*w^4 - 2*w^3 - 15*w^2 + 8*w + 18]', '[4197, 4197, w^4 - w^3 - 7*w^2 + 5*w + 2]', '[4201, 4201, -4*w^4 + 9*w^3 + 10*w^2 - 17*w - 2]', '[4203, 4203, 2*w^4 - 5*w^3 - 10*w^2 + 19*w + 18]', '[4205, 145, w^3 - 3*w^2 + w - 3]', '[4205, 4205, w^4 - 5*w^3 + 12*w]', '[4205, 4205, 2*w^4 - w^3 - 12*w^2 - 2*w + 8]', '[4207, 4207, w^4 - 5*w^2 - 2*w + 7]', '[4207, 4207, 3*w^4 - 8*w^3 - 11*w^2 + 17*w + 15]', '[4215, 4215, -w^4 + 2*w^3 + 5]', '[4215, 4215, -w^4 + 5*w^2 + 3*w + 5]', '[4215, 4215, -w^4 - 2*w^3 + 9*w^2 + 8*w - 5]', '[4217, 4217, 2*w^4 + w^3 - 12*w^2 - 9*w + 5]', '[4217, 4217, 5*w^4 - 10*w^3 - 16*w^2 + 20*w + 8]', '[4219, 4219, w^4 - w^3 - w^2 - 2*w - 4]', '[4219, 4219, -w^4 + 4*w^3 + w^2 - 12*w - 5]', '[4219, 4219, 4*w^4 - 4*w^3 - 21*w^2 + 5*w + 20]', '[4225, 325, -4*w^4 + 9*w^3 + 6*w^2 - 19*w + 6]', '[4225, 325, w^4 - w^3 - 7*w^2 - w + 7]', '[4225, 4225, -2*w^3 + 2*w^2 + 9*w - 5]', '[4241, 4241, -2*w^4 + 6*w^3 + 4*w^2 - 17*w - 1]', '[4243, 4243, 2*w^4 - 3*w^3 - 7*w^2 + 8*w + 1]', '[4245, 4245, 2*w^4 - 4*w^3 - 4*w^2 + 4*w - 7]', '[4247, 4247, -4*w^4 + 9*w^3 + 8*w^2 - 14*w + 5]', '[4247, 4247, 4*w^4 - 11*w^3 - 9*w^2 + 30*w - 4]', '[4249, 4249, -3*w^4 + 7*w^3 + 9*w^2 - 13*w - 7]', '[4251, 4251, 2*w^4 - 6*w^3 - w^2 + 11*w]', '[4251, 4251, w^3 - w^2 - w - 5]', '[4253, 4253, -2*w^4 + 4*w^3 + 8*w^2 - 12*w - 9]', '[4253, 4253, 2*w^2 + w - 8]', '[4259, 4259, -2*w^4 + 2*w^3 + 13*w^2 - 3*w - 18]', '[4259, 4259, 2*w^4 - 6*w^3 + 11*w - 12]', '[4263, 4263, -w^4 + 2*w^3 + w^2 + 7]', '[4263, 4263, 3*w^3 - 4*w^2 - 7*w + 5]', '[4265, 4265, -3*w^4 + 6*w^3 + 11*w^2 - 16*w - 12]', '[4273, 4273, -2*w^4 + 2*w^3 + 6*w^2 + 3*w + 4]', '[4281, 4281, -4*w^4 + 10*w^3 + 7*w^2 - 19*w]', '[4283, 4283, -w^4 - w^3 + 7*w^2 - 3]', '[4283, 4283, -w^4 + 2*w^3 + 7*w^2 - 9*w - 16]', '[4289, 4289, 3*w^4 - 5*w^3 - 11*w^2 + 10*w + 2]', '[4289, 4289, w^3 - 5*w^2 + 11]', '[4289, 4289, -2*w^4 + 8*w^3 - 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9*w]', '[4327, 4327, w^4 - 8*w^2 - 2*w + 7]', '[4327, 4327, -3*w^4 + 8*w^3 + 5*w^2 - 15*w - 3]', '[4327, 4327, -2*w^4 + 7*w^3 + w^2 - 13*w - 1]', '[4335, 255, -3*w^3 + 6*w^2 + 10*w - 10]', '[4341, 4341, w^4 - 9*w^2 + 6*w + 5]', '[4343, 4343, -2*w^4 + w^3 + 11*w^2 - 9]', '[4353, 4353, w^4 - 7*w^2 + 3*w + 3]', '[4361, 4361, -3*w^4 + 7*w^3 + 8*w^2 - 15*w - 7]', '[4363, 4363, -2*w^4 + 7*w^3 + 4*w^2 - 20*w - 8]', '[4365, 4365, w^3 - 2*w^2 + 2*w - 4]', '[4373, 4373, 4*w^4 - 8*w^3 - 12*w^2 + 13*w + 1]', '[4375, 35, 6*w^4 - 10*w^3 - 29*w^2 + 22*w + 33]', '[4375, 4375, -3*w^4 + 3*w^3 + 13*w^2 - 8]', '[4384, 274, 2*w^3 - 2*w^2 - 10*w + 6]', '[4385, 4385, -w^4 + 2*w^3 + 2*w^2 + 3*w + 1]', '[4395, 4395, 5*w^4 - 9*w^3 - 19*w^2 + 18*w + 17]', '[4397, 4397, -w^4 + 5*w^3 + 3*w^2 - 20*w - 13]', '[4397, 4397, 4*w^4 - 11*w^3 - 10*w^2 + 27*w + 4]', '[4399, 4399, 2*w^3 - 3*w^2 - 9*w + 5]', '[4399, 4399, -3*w^4 + 7*w^3 + 8*w^2 - 16*w - 6]', '[4401, 4401, -w^4 + w^3 + 8*w^2 - w - 13]', '[4405, 4405, -4*w^4 + 7*w^3 + 14*w^2 - 14*w - 10]', '[4405, 4405, -5*w^4 + 12*w^3 + 12*w^2 - 25*w - 4]', '[4409, 4409, -w^3 + 6*w^2 + w - 11]', '[4413, 4413, -w^4 + 4*w^3 - 3*w^2 - 7*w + 7]', '[4413, 4413, 3*w^4 - 9*w^3 - 3*w^2 + 16*w + 2]', '[4413, 4413, 3*w^4 - 6*w^3 - 8*w^2 + 11*w + 3]', '[4415, 4415, w^4 - 4*w^3 - 3*w^2 + 12*w + 4]', '[4417, 4417, w^4 - 5*w^3 + 3*w^2 + 13*w - 7]', '[4417, 4417, 5*w^4 - 10*w^3 - 18*w^2 + 24*w + 16]', '[4419, 4419, -w^4 + 6*w^3 - 4*w^2 - 8*w + 4]', '[4423, 4423, -6*w^4 + 14*w^3 + 16*w^2 - 30*w - 1]', '[4429, 4429, -w^4 + 2*w^3 + 4*w^2 - 8*w - 4]', '[4429, 4429, 2*w^4 - 4*w^3 - 8*w^2 + 11*w + 1]', '[4429, 4429, 2*w^4 - 7*w^3 - 2*w^2 + 14*w]', '[4431, 4431, w^3 - w^2 - 3*w + 6]', '[4431, 4431, -2*w^4 + 8*w^3 + w^2 - 22*w + 6]', '[4435, 4435, -2*w^4 + 3*w^3 + 4*w^2 + 2]', '[4441, 4441, 2*w^4 - 5*w^3 - 9*w^2 + 16*w + 13]', '[4443, 4443, 2*w^3 - 2*w^2 - 7*w + 7]', '[4443, 4443, 4*w^3 - 5*w^2 - 12*w + 1]', '[4443, 4443, -w^4 - w^3 + 8*w^2 + 4*w - 7]', '[4447, 4447, -2*w^4 + 5*w^3 + 8*w^2 - 15*w - 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w^2 - 18*w + 8]', '[5075, 5075, -3*w^4 + 6*w^3 + 9*w^2 - 8*w - 5]', '[5077, 5077, -3*w^3 + 5*w^2 + 7*w - 8]', '[5077, 5077, w^4 - 5*w^3 + 13*w + 1]', '[5079, 5079, 4*w^4 - 11*w^3 - 10*w^2 + 23*w + 6]', '[5081, 5081, -4*w^4 + 11*w^3 + 8*w^2 - 23*w - 6]', '[5081, 5081, -2*w^4 + 6*w^3 + 3*w^2 - 13*w - 4]', '[5081, 5081, -2*w^4 + 5*w^3 + 9*w^2 - 13*w - 7]', '[5088, 318, 2*w^4 - 4*w^3 - 8*w^2 + 14*w + 2]', '[5088, 318, 2*w^3 - 6*w^2 + 2*w + 8]', '[5089, 5089, w^4 - 2*w^3 - 6*w^2 + 3*w + 12]', '[5091, 5091, 2*w^4 - 7*w^3 - 3*w^2 + 10*w + 4]', '[5095, 5095, -3*w^4 + 4*w^3 + 14*w^2 - 4*w - 7]', '[5097, 5097, -2*w^4 + 3*w^3 + 12*w^2 - 14*w - 8]', '[5099, 5099, -2*w^4 + 4*w^3 + 8*w^2 - 9*w - 3]', '[5103, 63, -3*w^4 + 9*w^3 + 6*w^2 - 18*w - 3]', '[5103, 5103, 2*w^4 - 6*w^3 - 5*w^2 + 13*w + 8]', '[5107, 5107, -w^4 + 2*w^3 + 3*w^2 - 4*w - 7]', '[5109, 5109, -w^4 + 6*w^2 + 3*w - 8]', '[5120, 20, 4*w^2 - 4*w - 8]', '[5127, 5127, 2*w^4 - 7*w^3 + w^2 + 14*w - 7]', '[5131, 5131, w^4 + 2*w^3 - 10*w^2 - 5*w + 16]', '[5141, 5141, 2*w^4 - 5*w^3 - 5*w^2 + 14*w + 2]', '[5141, 5141, 5*w^4 - 11*w^3 - 14*w^2 + 21*w + 4]', '[5145, 5145, -3*w^4 + 7*w^3 + 5*w^2 - 11*w - 1]', '[5147, 5147, 5*w^4 - 12*w^3 - 10*w^2 + 21*w - 2]', '[5147, 5147, -3*w^4 + 6*w^3 + 7*w^2 - 8*w - 1]', '[5153, 5153, w^4 - 2*w^3 - 2*w^2 + 3*w - 7]', '[5153, 5153, -2*w^4 + 5*w^3 + 3*w^2 - 7*w + 5]', '[5157, 5157, -2*w^4 + 3*w^3 + 9*w^2 - 9*w - 4]', '[5161, 5161, -w^4 - w^3 + 10*w^2 - 9]', '[5161, 5161, 2*w^3 - w^2 - 11*w - 3]', '[5161, 5161, w^4 - 2*w^3 + 2*w^2 - 5*w - 10]', '[5163, 5163, -5*w^4 + 13*w^3 + 11*w^2 - 27*w - 1]', '[5163, 5163, -3*w^4 + 9*w^3 + 6*w^2 - 19*w - 2]', '[5163, 5163, 2*w^4 - 6*w^3 - 5*w^2 + 14*w + 7]', '[5171, 5171, -5*w^4 + 9*w^3 + 20*w^2 - 17*w - 17]', '[5173, 5173, -3*w^4 + 6*w^3 + 11*w^2 - 16*w - 8]', '[5177, 5177, 3*w^4 - 6*w^3 - 7*w^2 + 11*w - 5]', '[5177, 5177, w^4 - w^3 - w^2 - w - 5]', '[5179, 5179, -3*w^4 + 8*w^3 + 3*w^2 - 16*w + 7]', '[5189, 5189, -2*w^4 + 3*w^3 + 9*w^2 - 3*w - 9]', '[5191, 5191, -w^4 + 5*w^3 - w^2 - 13*w - 6]', '[5191, 5191, -w^4 + 2*w^3 + 6]', '[5193, 5193, -6*w^4 + 8*w^3 + 28*w^2 - 14*w - 25]', '[5193, 5193, -2*w^4 + 5*w^3 + 5*w^2 - 14*w - 3]', '[5193, 5193, -2*w^4 + 6*w^3 + 2*w^2 - 16*w + 7]', '[5193, 5193, -2*w^4 + 3*w^3 + 8*w^2 - 8*w - 1]', '[5193, 5193, -8*w^4 + 14*w^3 + 30*w^2 - 25*w - 20]', '[5197, 5197, -4*w^4 + 11*w^3 + 6*w^2 - 25*w + 10]', '[5197, 5197, -3*w^4 + 3*w^3 + 17*w^2 - 8*w - 16]', '[5199, 5199, -w^4 + 6*w^3 - 7*w^2 - 8*w + 10]', '[5201, 5201, -4*w^4 + 11*w^3 + 8*w^2 - 22*w - 1]', '[5201, 5201, 5*w^4 - 11*w^3 - 20*w^2 + 27*w + 22]', '[5209, 5209, 3*w^4 - 7*w^3 - 9*w^2 + 16*w + 10]', '[5209, 5209, 2*w^4 - 5*w^3 - 8*w^2 + 14*w + 8]', '[5211, 5211, -w^4 + 6*w^2 + 2*w - 10]', '[5211, 5211, 4*w^4 - 11*w^3 - 9*w^2 + 23*w + 2]', '[5215, 5215, -w^4 + w^3 + 8*w^2 - 2*w - 5]', '[5215, 5215, 2*w^4 - 4*w^3 - 9*w^2 + 10*w + 6]', '[5216, 326, 4*w^2 - 2*w - 10]', '[5223, 5223, -w^4 + 3*w^3 + 2*w^2 - 3*w - 7]', '[5229, 5229, -7*w^4 + 19*w^3 + 13*w^2 - 40*w + 6]', '[5231, 5231, -2*w^4 + 3*w^3 + 10*w^2 - 4*w - 11]', '[5233, 5233, w^4 - 6*w^3 + 7*w^2 + 9*w - 10]', '[5237, 5237, 2*w^4 - w^3 - 12*w^2 - 3*w + 7]', '[5239, 403, -2*w^4 + 4*w^3 + 8*w^2 - 8*w - 3]', '[5239, 403, -5*w^4 + 16*w^3 + 7*w^2 - 34*w + 5]', '[5239, 403, -3*w^4 + w^3 + 16*w^2 + 5*w - 8]', '[5239, 403, 2*w^4 - 6*w^3 - 4*w^2 + 14*w - 5]', '[5239, 5239, -w^4 + 3*w^3 + w^2 - 6*w + 7]', '[5239, 5239, -2*w^4 + w^3 + 13*w^2 - 2*w - 12]', '[5243, 5243, -3*w^4 + 11*w^3 - 2*w^2 - 19*w + 8]', '[5245, 5245, 3*w^4 - 7*w^3 - 5*w^2 + 11*w - 4]', '[5245, 5245, 2*w^4 - w^3 - 12*w^2 + 4*w + 11]', '[5255, 5255, w^4 - w^3 - 6*w^2 + 4*w - 2]', '[5259, 5259, -4*w^4 + 11*w^3 + 4*w^2 - 19*w + 5]', '[5261, 5261, -2*w^4 + 6*w^3 + 6*w^2 - 16*w - 5]', '[5261, 5261, -w^4 - w^3 + 10*w^2 - 15]', '[5265, 195, 5*w^4 - 14*w^3 - 7*w^2 + 21*w + 8]', '[5265, 5265, 4*w^4 - 9*w^3 - 10*w^2 + 15*w + 3]', '[5275, 5275, -3*w^3 + 5*w^2 + 4*w + 1]', '[5275, 5275, -2*w^4 + 6*w^3 + 4*w^2 - 10*w + 3]', '[5277, 5277, 4*w^4 - 10*w^3 - 9*w^2 + 19*w + 2]', '[5277, 5277, -w^4 + 6*w^3 - 5*w^2 - 5*w + 5]', '[5279, 5279, -w^4 + 2*w^3 + 6*w^2 - 6*w - 3]', '[5297, 5297, 4*w^4 - 12*w^3 - 7*w^2 + 28*w]', '[5297, 5297, -5*w^4 + 15*w^3 + 7*w^2 - 37*w + 9]', '[5299, 5299, -7*w^4 + 13*w^3 + 27*w^2 - 28*w - 25]', '[5299, 5299, -4*w^4 + 9*w^3 + 11*w^2 - 22*w - 1]', '[5305, 5305, 5*w^4 - 15*w^3 - 5*w^2 + 33*w - 11]', '[5309, 5309, w^3 - 3*w - 8]', '[5317, 5317, 4*w^4 - 8*w^3 - 12*w^2 + 11*w + 13]', '[5327, 5327, 2*w^4 - 5*w^3 - 4*w^2 + 14*w]', '[5329, 73, w^4 - 2*w^3 - 7]', '[5329, 5329, 3*w^4 - 7*w^3 - 8*w^2 + 15*w - 4]', '[5329, 5329, -4*w^4 + 9*w^3 + 14*w^2 - 21*w - 9]', '[5331, 5331, -3*w^4 + 6*w^3 + 7*w^2 - 11*w - 2]', '[5333, 5333, -3*w^4 + 5*w^3 + 13*w^2 - 11*w - 8]', '[5337, 5337, 3*w^3 - 5*w^2 - 7*w + 6]', '[5341, 5341, -w^4 + w^3 + 7*w^2 - 3*w - 3]', '[5341, 5341, -3*w^4 + 6*w^3 + 8*w^2 - 10*w - 5]', '[5343, 5343, 5*w^4 - 17*w^3 + w^2 + 28*w - 8]', '[5344, 334, -4*w^4 + 6*w^3 + 16*w^2 - 8*w - 6]', '[5345, 5345, w^4 - w^3 - 6*w^2 + 5*w + 11]', '[5345, 5345, w^4 - 2*w^3 - 3*w^2 + 5*w + 7]', '[5345, 5345, 3*w^4 - 6*w^3 - 10*w^2 + 14*w + 12]', '[5349, 5349, -3*w^4 + 6*w^3 + 7*w^2 - 7*w - 3]', '[5353, 5353, 3*w^3 - 5*w^2 - 5*w + 5]', '[5353, 5353, w^3 - w^2 - w - 6]', '[5361, 5361, -3*w^4 + 11*w^3 - 2*w^2 - 20*w + 11]', '[5363, 5363, -3*w^4 + 7*w^3 + 9*w^2 - 16*w + 2]', '[5363, 5363, -w^4 - 4*w^3 + 11*w^2 + 16*w - 5]', '[5363, 5363, -w^3 + 5*w^2 + w - 6]', '[5363, 5363, -w^4 + 4*w^3 + 3*w^2 - 10*w + 3]', '[5363, 5363, -3*w^4 + 3*w^3 + 14*w^2 - 4*w - 8]', '[5363, 5363, -4*w^3 + 4*w^2 + 12*w - 1]', '[5367, 5367, w^4 - 4*w^3 - 3*w^2 + 13*w - 1]', '[5367, 5367, -2*w^4 + 6*w^3 - w^2 - 7*w - 2]', '[5373, 5373, w^4 - 4*w^3 + w^2 + 12*w - 10]', '[5373, 5373, 3*w^4 - 6*w^3 - 9*w^2 + 14*w + 1]', '[5373, 5373, -4*w^4 + 10*w^3 + 12*w^2 - 25*w - 5]', '[5375, 5375, w^4 - 4*w^3 + 3*w + 5]', '[5381, 5381, 5*w^4 - 6*w^3 - 20*w^2 + 4*w + 7]', '[5381, 5381, -w^4 - w^3 + 9*w^2 + 3*w - 9]', '[5383, 5383, 5*w^4 - 12*w^3 - 14*w^2 + 29*w + 8]', '[5383, 5383, w^4 - 6*w^3 + 5*w^2 + 11*w - 13]', '[5385, 5385, -5*w^4 + 9*w^3 + 14*w^2 - 9*w]', '[5387, 5387, 4*w^4 - 10*w^3 - 12*w^2 + 25*w + 12]', '[5387, 5387, 3*w^3 - 6*w^2 - 4*w + 6]', '[5387, 5387, -2*w^4 + 7*w^3 + w^2 - 12*w - 2]', '[5393, 5393, 2*w^4 - 6*w^3 - 6*w^2 + 15*w + 8]', '[5395, 5395, 2*w^4 - 6*w^3 - 5*w^2 + 15*w - 4]', '[5397, 5397, 5*w^4 - 12*w^3 - 12*w^2 + 24*w + 4]', '[5399, 5399, -3*w^4 + 6*w^3 + 12*w^2 - 12*w - 8]', '[5403, 5403, w^4 - w^3 - 6*w^2 + 9*w]', '[5407, 5407, -4*w^4 + 9*w^3 + 10*w^2 - 21*w + 1]', '[5407, 5407, w^4 - 3*w^3 - 2*w^2 + 7*w - 5]', '[5407, 5407, -w^4 + 5*w^2 + 2*w + 4]', '[5408, 26, 2*w^4 - 6*w^3 + 12*w - 6]', '[5408, 26, 2*w^3 - 8*w - 8]', '[5408, 338, 2*w^3 - 6*w^2 - 4*w + 10]', '[5409, 5409, -5*w^4 + 6*w^3 + 24*w^2 - 11*w - 20]', '[5409, 5409, -w^4 + 4*w^3 + 3*w^2 - 13*w - 5]', '[5411, 5411, -6*w^4 + 11*w^3 + 23*w^2 - 22*w - 22]', '[5411, 5411, 3*w^4 - 3*w^3 - 16*w^2 + 5*w + 16]', '[5411, 5411, w^4 - 3*w^3 - 5*w^2 + 9*w + 12]', '[5417, 5417, w^4 - 5*w^3 + w^2 + 11*w + 2]', '[5417, 5417, 4*w^4 - 11*w^3 - 8*w^2 + 28*w - 3]', '[5417, 5417, -3*w^4 + 2*w^3 + 18*w^2 - 2*w - 14]', '[5419, 5419, w^4 + 2*w^3 - 9*w^2 - 6*w - 1]', '[5425, 5425, 2*w^4 - 6*w^3 - 6*w^2 + 14*w + 7]', '[5425, 5425, -2*w^4 + 7*w^3 + w^2 - 17*w + 1]', '[5431, 5431, 2*w^4 - 14*w^2 - 5*w + 13]', '[5431, 5431, 3*w^4 - 9*w^3 - w^2 + 14*w - 9]', '[5433, 5433, 3*w^3 - 5*w^2 - 6*w + 5]', '[5443, 5443, 2*w^2 - 6*w - 3]', '[5443, 5443, -w^4 + 5*w^3 - w^2 - 10*w - 1]', '[5447, 5447, -w^4 + 2*w^3 - w^2 - w + 5]', '[5447, 5447, -2*w^4 + 15*w^2 - 2*w - 6]', '[5447, 5447, -w^4 + 2*w^3 + 2*w^2 + 2*w - 3]', '[5459, 5459, w^4 + 3*w^3 - 10*w^2 - 11*w + 4]', '[5459, 5459, -w^4 + 2*w^3 + 7*w^2 - 11*w - 13]', '[5459, 5459, -2*w^4 + 3*w^3 + 7*w^2 - 6*w + 3]', '[5459, 5459, -w^4 + 3*w^3 + 3*w^2 - 11*w - 4]', '[5459, 5459, w^4 - 9*w^2 + w + 5]', '[5459, 5459, w^4 + 3*w^3 - 11*w^2 - 12*w + 5]', '[5463, 5463, -3*w^2 + 5*w + 10]', '[5465, 5465, 4*w^4 - 9*w^3 - 13*w^2 + 21*w + 13]', '[5471, 5471, -w^4 + 9*w^2 + 2*w - 17]', '[5471, 5471, 3*w^4 - 10*w^3 - 4*w^2 + 23*w - 2]', '[5475, 5475, 3*w^3 - 5*w^2 - 6*w + 8]', '[5475, 5475, w^3 - 8*w - 2]', '[5477, 5477, -w^4 + 5*w^2 + 2*w + 5]', '[5479, 5479, 2*w^4 - w^3 - 14*w^2 + 2*w + 9]', '[5481, 5481, 4*w^3 - 4*w^2 - 14*w - 1]', '[5481, 5481, -2*w^4 + w^3 + 12*w^2 - w - 10]', '[5483, 5483, -2*w^4 + 3*w^3 + 8*w^2 - 8*w - 2]', '[5483, 5483, 7*w^4 - 17*w^3 - 17*w^2 + 37*w - 3]', '[5485, 5485, 3*w^4 - 7*w^3 - 13*w^2 + 16*w + 18]', '[5493, 5493, -4*w^4 + 14*w^3 - 3*w^2 - 20*w + 7]', '[5501, 5501, 3*w^4 - 5*w^3 - 10*w^2 + 10*w + 3]', '[5501, 5501, 4*w^4 - 9*w^3 - 8*w^2 + 17*w - 5]', '[5503, 5503, -6*w^4 + 7*w^3 + 27*w^2 - 6*w - 14]', '[5503, 5503, -2*w^4 + 8*w^2 + 10*w + 9]', '[5515, 5515, w^4 - 5*w^3 + 10*w + 4]', '[5521, 5521, -2*w^4 + 5*w^3 + 4*w^2 - 11*w - 4]', '[5521, 5521, 2*w^4 - 2*w^3 - 10*w^2 + 5*w + 6]', '[5523, 5523, 5*w^4 - 17*w^3 - 3*w^2 + 41*w - 17]', '[5527, 5527, 3*w^4 - 6*w^3 - 10*w^2 + 15*w + 3]', '[5536, 346, 2*w^4 - 2*w^3 - 8*w^2 + 4*w + 2]', '[5536, 346, -2*w^4 + 6*w^3 + 6*w^2 - 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9*w - 11]', '[5597, 5597, 3*w^4 - 10*w^3 - 2*w^2 + 21*w - 10]', '[5597, 5597, 3*w^4 - 8*w^3 - 9*w^2 + 20*w + 5]', '[5597, 5597, 2*w^4 - 6*w^3 - 5*w^2 + 13*w + 6]', '[5600, 350, -2*w^4 + 4*w^3 + 8*w^2 - 10*w - 2]', '[5601, 5601, 3*w^4 - 3*w^3 - 17*w^2 + 6*w + 20]', '[5607, 5607, -2*w^4 + 3*w^3 + 5*w^2 - 9*w - 3]', '[5615, 5615, -3*w^4 + 6*w^3 + 13*w^2 - 13*w - 11]', '[5615, 5615, -w^3 - 3*w^2 + 8*w + 9]', '[5615, 5615, 3*w^4 - 3*w^3 - 15*w^2 + 7*w + 12]', '[5619, 5619, 3*w^4 - 6*w^3 - 8*w^2 + 10*w + 4]', '[5623, 5623, -w^4 + 2*w^3 + 4*w^2 - 9*w - 1]', '[5625, 45, 2*w^4 - 5*w^3 - 8*w^2 + 14*w + 6]', '[5625, 5625, -w^4 + 3*w^3 + 5*w^2 - 8*w - 2]', '[5629, 5629, -3*w^4 + 7*w^3 + 5*w^2 - 13*w + 6]', '[5629, 5629, -2*w^3 + 2*w^2 + 6*w + 7]', '[5631, 5631, -3*w^4 + 8*w^3 + 4*w^2 - 8*w - 7]', '[5631, 5631, -w^4 + 2*w^3 + 7*w^2 - 10*w - 4]', '[5633, 5633, -w^3 - 2*w^2 + 7*w + 1]', '[5639, 5639, w^4 - w^3 - w^2 - 2*w - 8]', '[5639, 5639, 5*w^4 - 9*w^3 - 17*w^2 + 15*w + 8]', '[5639, 5639, 3*w^4 - 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8*w + 10]', '[8989, 8989, -w^4 + 4*w^2 + 3*w + 5]', '[8992, 562, 2*w^4 - 2*w^3 - 10*w^2 + 6*w + 6]', '[8992, 562, -4*w^4 + 8*w^3 + 12*w^2 - 12*w - 6]', '[8992, 562, 2*w^3 - 10*w - 2]', '[8995, 8995, 4*w^4 - 8*w^3 - 17*w^2 + 22*w + 19]', '[8999, 8999, w^4 - 5*w^2 + w - 2]', '[8999, 8999, 3*w^4 - 19*w^2 - 10*w + 12]', '[9005, 9005, 3*w^4 - 6*w^3 - 6*w^2 + 8*w + 3]', '[9011, 9011, 2*w^4 - 6*w^3 - w^2 + 8*w - 5]', '[9011, 9011, w^4 - 3*w^3 - 5*w^2 + 12*w + 6]', '[9011, 9011, -4*w^3 + 6*w^2 + 9*w - 4]', '[9015, 9015, w^4 - 6*w^2 - 6*w + 5]', '[9015, 9015, w^4 - 5*w^3 + w^2 + 14*w + 7]', '[9019, 9019, -5*w^4 + 14*w^3 + 9*w^2 - 33*w + 1]', '[9019, 9019, -w^4 + w^3 + w^2 + 3*w + 7]', '[9021, 9021, 4*w^4 - 11*w^3 - 5*w^2 + 14*w + 4]', '[9021, 9021, -w^4 + 3*w^3 + 5*w^2 - 12*w - 1]', '[9023, 9023, 2*w^4 - 4*w^3 - 8*w^2 + 9*w]', '[9029, 9029, w^4 - 5*w^3 - w^2 + 17*w - 2]', '[9037, 9037, -5*w^4 + 12*w^3 + 15*w^2 - 26*w - 13]', '[9037, 9037, 4*w^4 - 8*w^3 - 11*w^2 + 16*w + 4]', '[9037, 9037, w^4 - 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8*w - 4]', '[9107, 9107, w^4 - 2*w^3 - 9*w^2 + 8*w + 13]', '[9109, 9109, -3*w^4 + 5*w^3 + 16*w^2 - 17*w - 18]', '[9111, 9111, 6*w^4 - 17*w^3 - 5*w^2 + 29*w - 4]', '[9111, 9111, 5*w^4 - 13*w^3 - 9*w^2 + 21*w + 5]', '[9111, 9111, w^4 + w^3 - 10*w^2 - w + 12]', '[9113, 9113, -2*w^4 + 13*w^2 + 7*w - 10]', '[9121, 9121, 5*w^4 - 12*w^3 - 13*w^2 + 27*w + 7]', '[9125, 9125, 2*w^4 - 2*w^3 - 6*w^2 - 5*w + 3]', '[9125, 9125, 3*w^3 - 8*w^2 - 4*w + 16]', '[9133, 9133, -4*w^3 + 8*w^2 + 7*w - 6]', '[9135, 9135, w^4 - 5*w^3 + 2*w^2 + 12*w + 2]', '[9135, 9135, -w^4 - w^3 + 10*w^2 - 11]', '[9137, 9137, -w^4 + 5*w^3 + w^2 - 13*w - 3]', '[9137, 9137, -3*w^4 + 9*w^3 + 6*w^2 - 23*w - 5]', '[9137, 9137, w^4 - 3*w^3 + 2*w^2 + 3*w - 8]', '[9137, 9137, 4*w^4 - 8*w^3 - 12*w^2 + 19*w + 4]', '[9137, 9137, w^3 + 3*w^2 - 7*w - 5]', '[9147, 9147, 4*w^4 - 10*w^3 - 8*w^2 + 24*w - 7]', '[9149, 9149, -4*w^4 + 7*w^3 + 19*w^2 - 17*w - 18]', '[9149, 9149, w^4 - 3*w^3 + 2*w^2 + 7*w - 6]', '[9149, 9149, 3*w^4 - 8*w^3 - 9*w^2 + 19*w + 11]', '[9151, 9151, -3*w^4 + 4*w^3 + 14*w^2 - 7*w - 7]', '[9151, 9151, 2*w^4 - w^3 - 11*w^2 - 2*w + 11]', '[9155, 9155, 2*w^4 - 7*w^3 + 9*w + 6]', '[9167, 9167, -3*w^4 + 7*w^3 + 7*w^2 - 10*w - 2]', '[9167, 9167, -2*w^4 + w^3 + 12*w^2 - 2*w - 11]', '[9167, 9167, -w^4 + 3*w^3 + 3*w^2 - 8*w - 10]', '[9169, 9169, 3*w^3 - 7*w^2 - 9*w + 11]', '[9169, 9169, w^4 - 3*w^3 + 2*w^2 + 4*w - 9]', '[9169, 9169, 4*w^4 - 11*w^3 - 8*w^2 + 25*w + 3]', '[9169, 9169, w^4 - w^3 - 3*w^2 + 3*w - 4]', '[9169, 9169, 3*w^4 - 5*w^3 - 11*w^2 + 11*w + 1]', '[9169, 9169, w^4 - 9*w^2 + 7*w + 2]', '[9171, 9171, -6*w^4 + 8*w^3 + 25*w^2 - 8*w - 10]', '[9173, 9173, 3*w^4 - 9*w^3 - 5*w^2 + 21*w + 3]', '[9183, 9183, 3*w^4 - 9*w^3 - 7*w^2 + 21*w + 4]', '[9183, 9183, -3*w^4 + 4*w^3 + 14*w^2 - 10*w - 11]', '[9191, 9191, -w^4 + w^3 + 10*w^2 - 4*w - 17]', '[9199, 9199, 3*w^4 - 10*w^3 - 4*w^2 + 24*w + 1]', '[9199, 9199, -w^4 + w^3 + 5*w^2 - 7*w - 2]', '[9201, 9201, -2*w^4 + 5*w^3 - 4*w + 4]', '[9203, 9203, -w^4 + w^3 + 6*w^2 - 3*w + 2]', '[9205, 9205, -w^4 + w^3 + 10*w^2 - 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w^2 - 13*w + 12]', '[9249, 9249, -w^4 + 8*w^2 - 6*w + 2]', '[9261, 9261, -5*w^4 + 12*w^3 + 11*w^2 - 24*w]', '[9267, 9267, w^4 - w^3 - 6*w^2 + 7*w + 5]', '[9275, 9275, 2*w^4 - 6*w^3 - 3*w^2 + 13*w + 7]', '[9275, 9275, -w^4 + 3*w^3 + 2*w^2 - 9*w + 7]', '[9277, 9277, 3*w^4 - 7*w^3 - 8*w^2 + 11*w]', '[9281, 9281, -4*w^4 + 9*w^3 + 10*w^2 - 15*w - 1]', '[9281, 9281, 7*w^4 - 13*w^3 - 26*w^2 + 25*w + 18]', '[9289, 9289, -3*w^4 + 8*w^3 + 8*w^2 - 15*w - 6]', '[9293, 9293, -3*w^4 + 10*w^3 + w^2 - 25*w + 6]', '[9293, 9293, 4*w^4 - 9*w^3 - 11*w^2 + 15*w - 1]', '[9305, 9305, w^4 - w^3 - 7*w^2 + 8*w + 9]', '[9309, 9309, 2*w^4 - 9*w^3 + 5*w^2 + 14*w - 6]', '[9309, 9309, 2*w^4 - 4*w^3 - 8*w^2 + 9*w + 1]', '[9311, 9311, 4*w^4 - 8*w^3 - 12*w^2 + 15*w + 9]', '[9312, 582, -4*w^4 + 10*w^3 + 6*w^2 - 16*w - 2]', '[9321, 9321, w^4 + w^3 - 11*w^2 + 2*w + 4]', '[9325, 9325, 4*w^4 - 7*w^3 - 12*w^2 + 13*w + 4]', '[9325, 9325, 4*w^4 - 9*w^3 - 12*w^2 + 20*w + 11]', '[9327, 9327, -2*w^4 + 6*w^3 + 2*w^2 - 12*w - 3]', '[9331, 9331, 6*w^4 - 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8*w^3 - 3*w^2 + 15*w - 7]', '[9771, 9771, -5*w^4 + 15*w^3 + 3*w^2 - 26*w + 4]', '[9777, 9777, -5*w^4 + 13*w^3 + 8*w^2 - 22*w - 3]', '[9777, 9777, -3*w^4 + 8*w^3 + 4*w^2 - 13*w - 5]', '[9781, 9781, 4*w^4 - 8*w^3 - 13*w^2 + 13*w + 9]', '[9787, 9787, -2*w^4 + 5*w^3 + 3*w^2 - 10*w - 4]', '[9787, 9787, 2*w^4 - 3*w^3 - 6*w^2 - w - 3]', '[9791, 9791, w^4 - 2*w^3 - 8*w^2 + 10*w + 10]', '[9793, 9793, -w^4 - w^3 + 9*w^2 + 2*w - 10]', '[9795, 9795, -3*w^4 + 6*w^3 + 15*w^2 - 17*w - 16]', '[9795, 9795, 3*w^4 - 8*w^3 - 7*w^2 + 17*w + 10]', '[9795, 9795, -4*w^4 + 2*w^3 + 21*w^2 + 3*w - 7]', '[9797, 9797, 3*w^3 - 8*w^2 - 4*w + 8]', '[9803, 9803, -w^4 + w^3 + 7*w^2 + 2*w - 17]', '[9803, 9803, -2*w^4 + 3*w^3 + 5*w^2 - 4]', '[9807, 9807, w^4 - 3*w^3 - 6*w^2 + 13*w + 10]', '[9813, 9813, 3*w^4 - 6*w^3 - 11*w^2 + 13*w + 4]', '[9813, 9813, 3*w^4 - 9*w^3 - 5*w^2 + 16*w + 1]', '[9817, 9817, -3*w^4 + 7*w^3 + 8*w^2 - 11*w - 5]', '[9817, 9817, 3*w^4 - 10*w^3 - 4*w^2 + 23*w - 1]', '[9825, 9825, -2*w^4 + 7*w^3 + 7*w^2 - 21*w - 15]', '[9833, 9833, -2*w^4 + 7*w^3 + 3*w^2 - 17*w - 4]', '[9833, 9833, -2*w^3 + 5*w^2 + 7*w - 11]', '[9835, 9835, -3*w^4 + 6*w^3 + 12*w^2 - 17*w - 14]', '[9835, 9835, 4*w^4 - 6*w^3 - 17*w^2 + 9*w + 9]', '[9835, 9835, -3*w^4 + 9*w^3 + 9*w^2 - 25*w - 15]', '[9837, 9837, -w^4 - w^3 + 10*w^2 - 2*w - 3]', '[9839, 9839, 2*w^4 - 8*w^3 - w^2 + 20*w]', '[9841, 9841, -3*w^4 + 2*w^3 + 18*w^2 - 2*w - 17]', '[9841, 9841, w^4 - 4*w^3 - 2*w^2 + 16*w - 6]', '[9847, 9847, -2*w^4 + 7*w^3 + 4*w^2 - 20*w - 2]', '[9847, 9847, w^4 - 9*w^2 + 3*w + 3]', '[9851, 9851, -3*w^4 + 7*w^3 + 6*w^2 - 13*w - 5]', '[9851, 9851, -3*w^4 + 5*w^3 + 12*w^2 - 9*w - 4]', '[9851, 9851, -w^4 + 6*w^3 - 5*w^2 - 12*w + 8]', '[9855, 9855, w^3 - w - 6]', '[9855, 9855, w^4 - w^3 - 8*w^2 + 10*w + 4]', '[9857, 9857, -w^4 + 13*w^2 - 7*w - 16]', '[9873, 9873, 4*w^4 - 8*w^3 - 19*w^2 + 20*w + 27]', '[9883, 9883, 2*w^4 - 7*w^3 + w^2 + 11*w - 8]', '[9883, 9883, -w^4 + 4*w^3 - 3*w^2 - 8*w + 4]', '[9887, 9887, 3*w^4 - 7*w^3 - 10*w^2 + 13*w + 8]', '[9888, 618, 2*w^3 - 4*w^2 - 4*w + 12]', '[9888, 618, -4*w^4 + 12*w^3 + 8*w^2 - 30*w + 2]', '[9888, 618, -2*w^3 + 8*w^2 - 6*w - 6]', '[9893, 9893, -3*w^4 + 4*w^3 + 12*w^2 - 5*w + 2]', '[9895, 9895, -2*w^3 - 2*w^2 + 9*w + 6]', '[9895, 9895, -w^4 + w^2 + 10*w + 7]', '[9897, 9897, -w^3 + 2*w^2 - 4*w + 6]', '[9897, 9897, w^4 - 3*w^3 - 5*w^2 + 11*w + 5]', '[9901, 9901, 2*w^4 - 5*w^3 - w^2 + 8*w - 6]', '[9901, 9901, 2*w^4 - 7*w^3 - 3*w^2 + 16*w + 2]', '[9901, 9901, w^2 + 2*w - 10]', '[9903, 9903, -w^4 + 6*w^3 - 4*w^2 - 12*w + 5]', '[9905, 9905, 4*w^4 - 11*w^3 - 13*w^2 + 30*w + 16]', '[9907, 9907, -w^4 - 2*w^3 + 8*w^2 + 7*w - 5]', '[9919, 9919, w^4 - 3*w^3 - w^2 + 2*w - 4]', '[9919, 9919, w^3 + w^2 - 2*w - 7]', '[9921, 9921, -3*w^4 + 9*w^3 - w^2 - 13*w + 5]', '[9925, 9925, 2*w^4 - w^3 - 8*w^2 + 8]', '[9925, 9925, -w^3 - w^2 + 4*w + 9]', '[9925, 9925, 2*w^4 - 5*w^3 - 3*w^2 + 14*w + 2]', '[9927, 9927, w^4 - 5*w^3 - w^2 + 14*w + 6]', '[9929, 9929, -2*w^4 + 13*w^2 + 3*w - 9]', '[9935, 9935, -5*w^4 + 7*w^3 + 19*w^2 - 7*w - 13]', '[9935, 9935, 3*w^4 - 6*w^3 - 9*w^2 + 15*w - 4]', '[9939, 9939, -w^4 + 5*w^3 - 5*w^2 - 4*w + 8]', '[9939, 9939, -w^4 + w^3 + 2*w^2 + w + 9]', '[9939, 9939, -5*w^2 + 6*w + 5]', '[9941, 9941, 4*w^4 - 10*w^3 - 9*w^2 + 22*w + 4]', '[9941, 9941, 6*w^4 - 16*w^3 - 12*w^2 + 33*w - 4]', '[9947, 9947, -2*w^4 + w^3 + 15*w^2 - 4*w - 14]', '[9947, 9947, -w^4 + 5*w^3 - w^2 - 14*w - 3]', '[9951, 9951, 7*w^4 - 19*w^3 - 10*w^2 + 36*w - 8]', '[9951, 9951, 2*w^4 - 5*w^3 - 3*w + 3]', '[9952, 622, -2*w^4 + 4*w^3 + 4*w^2 - 8*w + 6]', '[9957, 9957, 3*w^4 - 7*w^3 - 4*w^2 + 11*w + 3]', '[9965, 9965, 5*w^4 - 13*w^3 - 11*w^2 + 22*w + 14]', '[9967, 9967, 4*w^4 - 7*w^3 - 11*w^2 + 6*w - 3]', '[9973, 9973, 4*w^4 - 11*w^3 - 7*w^2 + 23*w + 2]', '[9973, 9973, -3*w^3 + 4*w^2 + 12*w - 8]', '[9973, 9973, -2*w^4 + 3*w^3 + 10*w^2 - 5*w - 5]', '[9973, 9973, w^3 + 2*w^2 - 8*w - 3]', '[9973, 9973, -2*w^4 + 2*w^3 + 5*w^2 + 3*w + 9]', '[9981, 9981, -w^4 + 4*w^3 + 2*w^2 - 14*w + 6]', '[9985, 9985, -3*w^4 + 4*w^3 + 18*w^2 - 12*w - 17]', '[9987, 9987, -2*w^4 + 3*w^3 + 8*w^2 - 12*w + 3]', '[9989, 9989, w^3 - 5*w^2 - 4*w + 13]', '[9991, 9991, w^4 - 2*w^3 - 3*w^2 + 2*w - 5]', '[9991, 9991, w^4 - 5*w^3 + 4*w^2 + 12*w - 10]', '[9991, 9991, 4*w^4 - 13*w^3 - 5*w^2 + 32*w - 10]', '[9993, 9993, -w^4 + 3*w^3 + 3*w^2 - 14*w + 6]', '[9993, 9993, -2*w^4 + 7*w^3 - 2*w^2 - 12*w + 6]', '[9997, 9997, -3*w^4 + 6*w^3 + 7*w^2 - 9*w + 9]', '[9997, 9997, -5*w^4 + 14*w^3 + 7*w^2 - 26*w - 1]'], 'label': '5.5.157457.1', 'narrow_class_no': 1, 'primes': ['[3, 3, w - 1]', '[5, 5, w^2 - w - 2]', '[7, 7, w^4 - 2*w^3 - 3*w^2 + 4*w + 2]', '[13, 13, w^3 - 2*w^2 - 2*w + 2]', '[29, 29, -w^4 + 3*w^3 + 2*w^2 - 7*w - 1]', '[29, 29, -w^2 + 2*w + 3]', '[31, 31, w^4 - 2*w^3 - 3*w^2 + 5*w]', '[31, 31, w^3 - 2*w^2 - 3*w + 2]', '[32, 2, 2]', '[43, 43, -w^2 - w + 4]', '[53, 53, -w^4 + w^3 + 6*w^2 - 2*w - 5]', '[53, 53, -w^4 + 2*w^3 + 4*w^2 - 5*w - 2]', '[73, 73, w^4 - w^3 - 6*w^2 + 2*w + 6]', '[73, 73, w^3 - w^2 - 4*w + 2]', '[81, 3, 2*w^4 - 5*w^3 - 4*w^2 + 9*w + 2]', '[83, 83, w^3 - w^2 - 5*w]', '[89, 89, -w^4 + 2*w^3 + 4*w^2 - 4*w - 2]', '[97, 97, w^4 - 3*w^3 - 2*w^2 + 6*w + 2]', '[101, 101, -w^4 + 3*w^3 + 3*w^2 - 7*w - 3]', '[103, 103, -w^4 + w^3 + 6*w^2 - w - 7]', '[103, 103, 2*w^4 - 4*w^3 - 6*w^2 + 8*w + 1]', '[103, 103, w^4 - w^3 - 6*w^2 + 3*w + 4]', '[107, 107, -w^4 + 2*w^3 + 3*w^2 - 5*w + 2]', '[109, 109, w^3 - 4*w - 1]', '[109, 109, -w^2 + 2*w + 4]', '[131, 131, w^4 - w^3 - 6*w^2 + w + 6]', '[137, 137, w^3 - w^2 - 5*w + 3]', '[149, 149, w^4 - 3*w^3 - 3*w^2 + 9*w + 6]', '[149, 149, -w^4 + 6*w^2 + 3*w]', '[163, 163, 2*w^2 - w - 5]', '[167, 167, -2*w^4 + 3*w^3 + 8*w^2 - 4*w - 3]', '[169, 13, w^4 - 3*w^3 + 6*w - 3]', '[169, 13, w^3 - 4*w - 4]', '[173, 173, w^4 - w^3 - 4*w^2 + 2*w + 1]', '[173, 173, -w^4 + 3*w^3 + 3*w^2 - 7*w - 5]', '[173, 173, w^4 - w^3 - 4*w^2 + w - 1]', '[179, 179, w^2 - 3*w - 2]', '[191, 191, -w^4 + 3*w^3 + w^2 - 6*w - 1]', '[193, 193, -w^3 + 2*w^2 + w - 4]', '[193, 193, -w^4 + 3*w^3 + 3*w^2 - 8*w - 1]', '[199, 199, w^4 - 3*w^3 - w^2 + 7*w]', '[199, 199, -2*w^4 + 5*w^3 + 5*w^2 - 10*w - 2]', '[199, 199, w^4 - 3*w^3 + 5*w - 4]', '[211, 211, 2*w^3 - 2*w^2 - 7*w - 1]', '[211, 211, -2*w^3 + 3*w^2 + 5*w - 2]', '[223, 223, -2*w^4 + 3*w^3 + 10*w^2 - 7*w - 9]', '[227, 227, w^3 - w^2 - 4*w + 3]', '[229, 229, w^4 - 4*w^3 + 10*w - 5]', '[229, 229, -2*w^4 + 4*w^3 + 7*w^2 - 9*w - 8]', '[239, 239, -2*w^4 + 3*w^3 + 7*w^2 - 3*w - 3]', '[241, 241, w^3 - w^2 - 2*w - 2]', '[257, 257, -w^4 + w^3 + 6*w^2 - 4*w - 4]', '[263, 263, 2*w^3 - 4*w^2 - 5*w + 6]', '[269, 269, w^3 - 2*w^2 - 4*w + 4]', '[269, 269, -2*w^4 + 2*w^3 + 11*w^2 - 3*w - 10]', '[271, 271, w^3 - 5*w]', '[281, 281, w^4 - w^3 - 5*w^2 + 3*w + 3]', '[281, 281, -2*w^4 + 4*w^3 + 6*w^2 - 6*w - 3]', '[281, 281, w^3 - 5*w - 1]', '[283, 283, -2*w^4 + 4*w^3 + 7*w^2 - 8*w - 3]', '[289, 17, -2*w^4 + 3*w^3 + 8*w^2 - 5*w - 2]', '[293, 293, 2*w^4 - 5*w^3 - 7*w^2 + 14*w + 9]', '[311, 311, -w^4 + 2*w^3 + 2*w^2 - 4*w + 3]', '[313, 313, w^3 - 6*w]', '[331, 331, w^4 - 2*w^3 - 2*w^2 + w - 2]', '[359, 359, w^4 - w^3 - 5*w^2 + 2*w - 1]', '[373, 373, -w^4 + 3*w^3 + 2*w^2 - 8*w - 3]', '[373, 373, 2*w^3 - 4*w^2 - 3*w + 3]', '[379, 379, -w^4 + 4*w^3 - w^2 - 9*w + 3]', '[379, 379, -w^4 + 3*w^3 + w^2 - 6*w - 2]', '[379, 379, w^4 + w^3 - 7*w^2 - 6*w + 3]', '[383, 383, -w^4 + 2*w^3 + 3*w^2 - 6*w - 2]', '[383, 383, w^4 - 5*w^2 - 3*w + 3]', '[383, 383, 2*w^4 - 5*w^3 - 3*w^2 + 8*w]', '[389, 389, 3*w^4 - 7*w^3 - 8*w^2 + 16*w + 1]', '[397, 397, -2*w^4 + 3*w^3 + 8*w^2 - 3*w - 7]', '[397, 397, -w^4 + 2*w^3 + 3*w^2 - 4*w - 5]', '[397, 397, -2*w^4 + 3*w^3 + 7*w^2 - 4*w - 3]', '[409, 409, -w^4 + w^3 + 7*w^2 - 5*w - 9]', '[419, 419, w^4 - 2*w^3 - w^2 + 2*w - 2]', '[419, 419, 2*w^4 - 3*w^3 - 7*w^2 + 5*w + 2]', '[419, 419, -w^4 + 4*w^3 - 9*w - 2]', '[433, 433, -w^4 + 3*w^3 - 8*w + 4]', '[433, 433, w^4 - 7*w^2 - w + 6]', '[439, 439, 3*w^4 - 6*w^3 - 10*w^2 + 11*w + 7]', '[449, 449, -2*w^4 + 5*w^3 + 5*w^2 - 11*w - 4]', '[457, 457, -2*w^4 + 5*w^3 + 4*w^2 - 10*w - 2]', '[463, 463, 2*w^4 - 5*w^3 - 4*w^2 + 8*w + 1]', '[467, 467, 2*w^4 - 4*w^3 - 6*w^2 + 6*w + 1]', '[479, 479, 3*w^4 - 4*w^3 - 12*w^2 + 4*w + 7]', '[479, 479, 2*w^4 - 6*w^3 - 4*w^2 + 14*w + 1]', '[491, 491, w^4 - 6*w^2 - w + 4]', '[503, 503, 2*w^4 - w^3 - 11*w^2 - 3*w + 8]', '[503, 503, 2*w^3 - 5*w^2 - 2*w + 6]', '[509, 509, w^4 - 5*w^2 - 6*w]', '[509, 509, w^4 - 3*w^3 - 3*w^2 + 9*w + 1]', '[523, 523, 3*w^4 - 7*w^3 - 7*w^2 + 12*w + 3]', '[523, 523, 3*w^4 - 8*w^3 - 7*w^2 + 17*w + 3]', '[523, 523, w^4 - 7*w^2 - 2*w + 4]', '[529, 23, -w^4 + w^3 + 7*w^2 - 2*w - 9]', '[541, 541, w^4 - 3*w^3 - 3*w^2 + 5*w + 2]', '[547, 547, -w^3 + 3*w^2 + 3*w - 4]', '[557, 557, 2*w^3 - 4*w^2 - 6*w + 9]', '[577, 577, 2*w^4 - 2*w^3 - 11*w^2 + 5*w + 10]', '[577, 577, w^4 - 4*w^3 - w^2 + 9*w]', '[577, 577, 2*w^4 - 3*w^3 - 9*w^2 + 4*w + 8]', '[577, 577, w^4 - 7*w^2 - 3*w + 7]', '[577, 577, -3*w^4 + 3*w^3 + 13*w^2 - w - 4]', '[593, 593, 3*w - 2]', '[601, 601, 2*w^4 - 4*w^3 - 7*w^2 + 5*w + 6]', '[601, 601, -w^4 + 3*w^3 + w^2 - 7*w - 1]', '[607, 607, w^3 - w^2 - 2*w - 3]', '[625, 5, 2*w^4 - 5*w^3 - 8*w^2 + 14*w + 11]', '[631, 631, -w^2 + w - 2]', '[631, 631, w^4 - 7*w^2 - w + 8]', '[643, 643, -2*w^4 + 4*w^3 + 9*w^2 - 10*w - 8]', '[647, 647, 3*w^4 - 6*w^3 - 10*w^2 + 12*w + 8]', '[653, 653, -3*w^4 + 6*w^3 + 11*w^2 - 12*w - 9]', '[653, 653, w^4 - w^3 - 2*w^2 - 3*w - 3]', '[653, 653, -2*w^4 + 4*w^3 + 7*w^2 - 6*w - 8]', '[701, 701, w^4 - w^3 - 2*w^2 - w - 5]', '[719, 719, 2*w^4 - 5*w^3 - 6*w^2 + 14*w + 2]', '[727, 727, 2*w^4 - 5*w^3 - 5*w^2 + 9*w + 3]', '[733, 733, 2*w^4 - 5*w^3 - 5*w^2 + 13*w + 3]', '[739, 739, -2*w^3 + 4*w^2 + 4*w - 5]', '[743, 743, w^4 - 2*w^3 - 3*w^2 + 6*w - 3]', '[743, 743, 2*w^4 - 2*w^3 - 11*w^2 + 2*w + 10]', '[757, 757, -w^4 + 2*w^3 + 5*w^2 - 6*w - 10]', '[757, 757, 2*w^4 - 6*w^3 - 2*w^2 + 11*w - 4]', '[761, 761, 3*w^3 - 4*w^2 - 9*w + 3]', '[769, 769, 3*w^3 - 5*w^2 - 9*w + 7]', '[769, 769, -2*w^4 + 4*w^3 + 7*w^2 - 11*w - 2]', '[773, 773, 2*w^4 - 5*w^3 - 6*w^2 + 12*w + 1]', '[773, 773, 3*w^4 - 4*w^3 - 12*w^2 + 3*w + 5]', '[773, 773, 2*w^3 - w^2 - 10*w - 4]', '[797, 797, -w^4 + 4*w^3 + 2*w^2 - 12*w - 3]', '[811, 811, w^4 - 2*w^3 - 6*w^2 + 8*w + 4]', '[823, 823, w^4 - 4*w^3 - w^2 + 10*w + 1]', '[823, 823, 2*w^4 - 4*w^3 - 4*w^2 + 4*w - 3]', '[827, 827, -w^4 + 2*w^3 + 2*w^2 - w + 3]', '[827, 827, 2*w^4 - 4*w^3 - 5*w^2 + 7*w + 2]', '[829, 829, -w^4 + 4*w^3 + 2*w^2 - 10*w - 2]', '[829, 829, 3*w^3 - 3*w^2 - 11*w - 2]', '[829, 829, w^4 - 2*w^3 - 3*w^2 + 2*w - 3]', '[839, 839, -w^4 + 5*w^3 - 3*w^2 - 10*w + 5]', '[839, 839, -w^4 + w^3 + 5*w^2 - 9]', '[853, 853, 2*w^4 - 6*w^3 - 5*w^2 + 15*w + 4]', '[859, 859, -3*w^4 + 8*w^3 + 6*w^2 - 18*w + 5]', '[863, 863, w^4 - w^3 - 6*w^2 + 5*w + 2]', '[877, 877, 3*w^3 - 4*w^2 - 8*w + 1]', '[881, 881, 3*w^4 - 7*w^3 - 9*w^2 + 15*w + 3]', '[881, 881, -w^3 + 7*w + 1]', '[883, 883, -2*w^4 + 6*w^3 + 3*w^2 - 15*w]', '[887, 887, w^4 - w^3 - 5*w^2 + w - 1]', '[907, 907, 3*w^4 - 5*w^3 - 11*w^2 + 9*w + 5]', '[919, 919, w^4 - 2*w^3 - 6*w^2 + 8*w + 7]', '[937, 937, 2*w^4 - 2*w^3 - 9*w^2 + 2*w + 3]', '[937, 937, -3*w^4 + 8*w^3 + 6*w^2 - 16*w + 1]', '[937, 937, 3*w^4 - 5*w^3 - 11*w^2 + 7*w + 4]', '[947, 947, w^3 - w^2 - 7*w + 2]', '[947, 947, -w^4 + 2*w^3 + 4*w^2 - 7*w - 3]', '[967, 967, -w^4 + 4*w^3 - 11*w]', '[971, 971, 3*w^4 - 6*w^3 - 8*w^2 + 10*w]', '[971, 971, w^4 - 8*w^2 + 2*w + 9]', '[971, 971, w^4 - 4*w^3 + 2*w^2 + 7*w - 4]', '[977, 977, -w^4 + 4*w^3 - 12*w + 5]', '[983, 983, -w^4 + w^3 + 4*w^2 + 3*w - 2]', '[983, 983, -2*w^4 + 3*w^3 + 8*w^2 - 6*w - 4]', '[997, 997, 2*w^4 - 4*w^3 - 5*w^2 + 5*w - 3]', '[997, 997, w^4 + w^3 - 5*w^2 - 9*w - 2]']}
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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 4, 5, -4, -2, 1], 'conductor': 0, 'degree': 5, 'dirichlet_group': [], 'disc_abs': 157457, 'disc_rad': 157457, 'disc_sign': 1, 'frobs': [[2, [[5, 1]]], [3, [[4, 1], [1, 1]]], [5, [[4, 1], [1, 1]]], [7, [[4, 1], [1, 1]]], [11, [[5, 1]]], [13, [[2, 2], [1, 1]]], [17, [[3, 1], [2, 1]]], [19, [[5, 1]]], [23, [[3, 1], [2, 1]]], [29, [[3, 1], [1, 2]]], [31, [[3, 1], [1, 2]]], [37, [[3, 1], [2, 1]]], [41, [[3, 1], [2, 1]]], [43, [[4, 1], [1, 1]]], [47, [[5, 1]]], [53, [[3, 1], [1, 2]]], [59, [[5, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [60], 'galois_label': '5T5', 'galt': 5, 'grd': 396.80851805373334, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '5.5.157457.1', 'local_algs': ['m157457.2.1.1', 'm157457.1.3.0'], 'monogenic': 1, 'num_ram': 1, 'r2': 0, 'ramps': [157457], 'rd': 10.9504607918, 'regulator': {'__RealLiteral__': 0, 'data': '9.8429578526', 'prec': 40}, 'res': {'sib': ['-1,-9,31,63,-69,-84,57,27,-15,-2,1', '-14727717071924283,-20201168526098574,-3444011998942103,4995994342758136,1706210669901218,-387704473962132,-192778462736193,11391764246018,10095451311932,-44915101108,-290615947926,-4092921366,4913368312,82422158,-49360132,-622500,283804,1970,-847,-2,1', '-194360173422602976,-8300986701720037056,-33452553430125645768,54382254446298116556,324243537043323278558,-22978317467166586985,-1002538584198201266378,-337543698879705208529,1293442490548622168232,650716637823079704792,-805931792205166741349,-461380958862773435249,300843609725216850629,178856722159476076330,-75902562778980321021,-43963134999045660173,13829860067944175924,7378837372821104759,-1884132354067697772,-881884901547353440,195056913636593385,76931520285303618,-15433178165427456,-4966838850295881,933048923714172,238683431988219,-42916169771723,-8524943081604,1489100035590,224264973959,-38441837200,-4265633062,722427125,56778218,-9544355,-499308,83560,2594,-433,-6,1', '-2016235,-75918,53136,832,-429,-1,1', '-3078989477200255,5517408858215681,38875424844867434,16598423379437659,-60260624162676107,-41831136987999467,36405647088803939,31733440539818387,-11293677613975007,-12212721872140574,2058587533007300,2809867598665541,-246095909858170,-416867143759939,22537567943757,41299652112929,-1856685769024,-2757911951737,133165429975,122962138621,-6950469222,-3581273934,232683536,66303282,-4762785,-745481,57349,4614,-372,-12,1', '-3687245093443,-177741000619,102653643323,1811492169,-749469513,-5867552,2108707,6365,-2453,-2,1', '-3927734312,-22666611036,-10863856078,136800874243,202969866238,-138188559067,-320759332132,41519108207,207018263645,3756237496,-66498018988,-4459860648,11180590653,972270951,-1021487444,-93365553,52891305,4469792,-1597482,-110177,27906,1321,-261,-6,1', '1,-141,464,6058,-29273,11784,93617,-93908,-90234,129904,27543,-73933,3152,19961,-3017,-2685,550,171,-40,-4,1', '1577302559995851,1918344696600228,-5539962286230617,-4773176660992904,8545151194462343,4454890643582996,-7320395819358945,-1794284105072500,3694561607764526,164001527400390,-1105367318399545,102000527401850,195206982212918,-36118221441618,-20820412807905,5436272419814,1365053713311,-474314752856,-53387546385,26345670386,1014228723,-963697128,6255331,23193082,-838724,-354080,20142,3112,-224,-12,1', '18891569,420606370,-437761148,-3791561555,1245721923,4854316903,-1073635947,-2360502604,449265008,529769554,-93529161,-58308255,9179164,3374414,-462657,-102801,12642,1548,-178,-9,1', '21623,47987,-165412,-663931,-750126,-162485,254078,140612,-21368,-25205,-491,1916,110,-69,-3,1', '38025,0,-393407,0,386305,0,-63310,0,3914,0,-104,0,1', '5408,-35984,-315904,878036,6245702,-1877719,-36603131,-6774786,105805971,32180146,-179941862,-52178899,195119876,42335374,-140069301,-17177685,67409439,1863952,-21643242,1271860,4536443,-614052,-592207,122678,43480,-12654,-1329,640,-12,-12,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{2} - a - 1 \\)', '\\( a^{3} - 2 a^{2} - 2 a + 1 \\)', '\\( a + 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4']}