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hmf_forms • Show schema
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{'deg': 4, 'dimension': 2, 'disc': 17069, 'field_bad_primes': [13, 101], 'field_label': '4.4.17069.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '4.4.17069.1-16.1-d', 'label_nsuffix': 3, 'label_suffix': 'd', 'level_bad_primes': [2], 'level_ideal': '[16, 2, 2]', 'level_label': '16.1', 'level_norm': 16, 'parallel_weight': 2, 'short_label': '16.1-d', 'weight': '[2, 2, 2, 2]'}
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hmf_hecke • Show schema
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{'AL_eigenvalues': [['[16, 2, 2]', 1]], 'hecke_eigenvalues': ['e', '-e - 3', -4, -1, 0, -3, 0, -3, '-2*e - 9', '2*e - 3', -3, -3, '-3*e', '3*e + 9', '-e - 9', 'e - 6', 6, '3*e - 8', '-3*e - 17', '3*e - 6', '-3*e - 15', '-8*e - 9', '8*e + 15', '-6*e - 15', 3, 3, '6*e + 3', '6*e + 8', '-6*e - 10', '-6*e - 11', '6*e + 7', '6*e + 11', '-6*e - 7', -17, '-9*e - 12', '9*e + 15', '6*e + 15', '-9*e - 9', '9*e + 18', '-6*e - 3', '-3*e - 15', '3*e - 6', '2*e + 3', '-2*e - 3', '-4*e - 24', '4*e - 12', '11*e + 12', '-11*e - 21', '3*e - 6', '-3*e - 15', '-6*e - 24', '6*e - 6', -3, -3, '-6*e - 23', '6*e - 5', '10*e + 3', '-10*e - 27', '-4*e', '4*e + 12', '6*e - 12', '-6*e - 30', '8*e + 12', '-8*e - 12', '4*e + 15', '-4*e + 3', '-3*e - 9', '3*e', '-6*e + 17', '6*e + 35', '-7*e - 15', '-10*e - 21', '10*e + 9', '7*e + 6', '6*e', '-6*e - 18', '-12*e - 12', '12*e + 24', 'e - 30', '-e - 33', '-3*e - 2', '3*e + 7', '3*e + 24', '-3*e + 15', '-18*e - 27', '18*e + 27', '-6*e - 3', '-6*e + 3', '6*e + 21', '6*e + 15', '-3*e + 30', '3*e + 39', '6*e + 34', '-6*e + 16', -2, -10, '3*e + 13', '-3*e + 4', '14*e + 30', '-14*e - 12', 3, 3, '-e - 15', '-5*e - 36', '5*e - 21', 'e - 12', '-12*e + 3', '12*e + 39', '6*e - 6', '-6*e - 24', '6*e - 12', '-6*e - 30', '-24*e - 35', '24*e + 37', '6*e - 15', '-6*e - 33', '3*e - 6', '-3*e - 15', '-18*e - 27', '18*e + 27', '-e - 33', '2*e + 12', 'e - 30', '-2*e + 6', '9*e - 5', '-9*e - 32', '4*e + 3', '-4*e - 9', -30, -30, '27*e + 40', '-27*e - 41', '7*e + 9', '-7*e - 12', '14*e + 3', '-14*e - 39', 5, '-2*e - 36', '2*e - 30', '-3*e - 42', '3*e - 33', '11*e + 51', '-11*e + 18', '24*e + 45', '15*e + 6', '-24*e - 27', '-15*e - 39', '-5*e - 21', '5*e - 6', 24, 24, '-e - 30', 'e - 27', '-2*e - 57', '2*e - 51', -6, -6, '-9*e + 16', '9*e + 43', '-6*e - 9', '6*e + 9', 19, -2, 19, -2, '-6*e - 19', '6*e - 1', '-21*e - 41', '21*e + 22'], 'hecke_polynomial': 'x^2 + 3*x - 1', 'label': '4.4.17069.1-16.1-d'}
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hmf_fields • Show schema
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{'degree': 4, 'discriminant': 17069, 'ideals': ['[1, 1, 1]', '[3, 3, w]', '[3, 3, w^3 - 2*w^2 - 6*w + 1]', '[9, 3, w^3 - 2*w^2 - 5*w]', '[9, 3, w^3 - 2*w^2 - 5*w + 1]', '[9, 9, w^3 - 2*w^2 - 6*w]', '[9, 9, w - 1]', '[16, 2, 2]', '[17, 17, w^3 - w^2 - 8*w - 5]', '[17, 17, -2*w^3 + 4*w^2 + 11*w - 2]', '[17, 17, -w^3 + 3*w^2 + 2*w - 2]', '[17, 17, w^3 - 2*w^2 - 4*w + 1]', '[25, 5, w^3 - 3*w^2 - 3*w + 1]', '[25, 5, w^2 - 2*w - 7]', '[27, 3, -w^3 + 3*w^2 + 2*w - 3]', '[27, 3, -w^3 + w^2 + 8*w + 4]', '[27, 9, -w^3 + 3*w^2 + 4*w - 3]', '[27, 9, w^3 - 3*w^2 - 4*w + 6]', '[27, 27, w^3 - 3*w^2 - 3*w + 5]', '[27, 27, w^2 - 2*w - 3]', '[29, 29, w^3 - 2*w^2 - 6*w - 1]', '[29, 29, w - 2]', '[48, 6, 2*w]', '[48, 6, 2*w^3 - 4*w^2 - 12*w + 2]', '[51, 51, -w - 3]', '[51, 51, 2*w^3 - 5*w^2 - 8*w + 5]', '[51, 51, -2*w^3 + 4*w^2 + 11*w]', '[51, 51, w^3 - 2*w^2 - 4*w - 1]', '[51, 51, w^3 - 2*w^2 - 6*w + 4]', '[51, 51, -w^3 + w^2 + 7*w + 3]', '[51, 51, -w^2 + 3*w + 3]', '[51, 51, -w^2 + 3*w + 4]', '[53, 53, w^3 - 3*w^2 - 4*w + 4]', '[53, 53, -w^3 + 3*w^2 + 4*w - 5]', '[61, 61, -w^3 + 2*w^2 + 7*w - 4]', '[61, 61, -4*w^3 + 11*w^2 + 14*w - 8]', '[75, 15, w^3 - 2*w^2 - 7*w]', '[75, 15, w^3 - 3*w^2 - 3*w + 6]', '[75, 15, -w^3 + 2*w^2 + 7*w - 2]', '[75, 15, -2*w^3 + 4*w^2 + 9*w - 5]', '[81, 3, 3]', '[81, 9, -2*w^3 + 3*w^2 + 13*w + 6]', '[81, 9, w^3 - 2*w^2 - 5*w + 4]', '[81, 9, -w^3 + 2*w^2 + 5*w + 3]', '[81, 9, -2*w^3 + 5*w^2 + 10*w - 4]', '[81, 27, -w^2 + w + 6]', '[81, 27, -2*w^3 + 5*w^2 + 9*w - 3]', '[81, 81, w^2 - 3*w - 7]', '[81, 81, w^2 - 3*w]', '[87, 87, w^3 - 3*w^2 - 3*w + 8]', '[87, 87, w^2 - 2*w]', '[87, 87, -3*w^3 + 6*w^2 + 17*w - 5]', '[87, 87, -w^3 + 2*w^2 + 3*w - 3]', '[101, 101, -w^3 + 2*w^2 + 7*w - 1]', '[103, 103, -w^3 + 3*w^2 + 2*w - 5]', '[103, 103, -w^3 + w^2 + 8*w + 2]', '[113, 113, w^3 - 3*w^2 - 3*w + 7]', '[113, 113, w^2 - 2*w - 1]', '[127, 127, w^3 - 2*w^2 - 4*w - 2]', '[127, 127, -2*w^3 + 4*w^2 + 11*w + 1]', '[131, 131, -3*w^3 + 7*w^2 + 14*w - 8]', '[131, 131, -w^2 + w + 8]', '[131, 131, 2*w^3 - 5*w^2 - 9*w + 1]', '[131, 131, -3*w^3 + 6*w^2 + 16*w + 1]', '[139, 139, -2*w^3 + 5*w^2 + 9*w - 2]', '[139, 139, -w^2 + w + 7]', '[144, 6, 2*w^3 - 4*w^2 - 10*w]', '[144, 6, 2*w^3 - 4*w^2 - 10*w + 2]', '[144, 18, 2*w^3 - 4*w^2 - 12*w]', '[144, 18, 2*w - 2]', '[153, 51, -2*w^2 + 3*w + 10]', '[153, 51, w^3 - 3*w^2 - w]', '[153, 51, -w^3 + 3*w^2 + 4*w - 9]', '[153, 51, -3*w^3 + 7*w^2 + 15*w - 11]', '[153, 51, 3*w^3 - 8*w^2 - 12*w + 7]', '[153, 51, 2*w^3 - 3*w^2 - 14*w - 6]', '[153, 51, w^2 + 1]', '[153, 51, -w^3 + 3*w^2 + 4*w]', '[153, 153, -w^3 + 2*w^2 + 3*w - 4]', '[153, 153, 2*w^3 - 3*w^2 - 12*w - 5]', '[153, 153, -w^3 + 3*w^2 + 3*w]', '[153, 153, 2*w^3 - 5*w^2 - 8*w + 6]', '[153, 153, -w^3 + w^2 + 7*w + 2]', '[153, 153, w^2 - 2*w - 8]', '[153, 153, 3*w^3 - 7*w^2 - 13*w + 3]', '[153, 153, -3*w^3 + 6*w^2 + 17*w - 6]', '[157, 157, -2*w^3 + 5*w^2 + 7*w - 5]', '[157, 157, -2*w^3 + 3*w^2 + 13*w + 2]', '[157, 157, -2*w^3 + 5*w^2 + 6*w - 2]', '[157, 157, -3*w^3 + 5*w^2 + 19*w + 4]', '[159, 159, -3*w^3 + 6*w^2 + 16*w - 4]', '[159, 159, 2*w^3 - 4*w^2 - 9*w + 3]', '[159, 159, 2*w^3 - 4*w^2 - 8*w + 3]', '[159, 159, -4*w^3 + 8*w^2 + 22*w - 5]', '[169, 13, -2*w^3 + 4*w^2 + 10*w - 1]', '[173, 173, 3*w^3 - 8*w^2 - 10*w + 7]', '[173, 173, 2*w^3 - 2*w^2 - 15*w - 8]', '[179, 179, -3*w^2 + 6*w + 17]', '[179, 179, -2*w^3 + 3*w^2 + 12*w + 1]', '[179, 179, -3*w^3 + 7*w^2 + 13*w - 7]', '[179, 179, -2*w^3 + 3*w^2 + 14*w + 4]', '[183, 183, -7*w^3 + 15*w^2 + 38*w - 16]', '[183, 183, -3*w^3 + 7*w^2 + 13*w - 5]', '[183, 183, w^3 - w^2 - 8*w + 3]', '[183, 183, -w^3 + 2*w^2 + 4*w + 3]', '[191, 191, w^3 - 3*w^2 - w + 4]', '[191, 191, -2*w^3 + 3*w^2 + 14*w + 2]', '[199, 199, -w^3 + 8*w + 10]', '[199, 199, 5*w^3 - 15*w^2 - 14*w + 14]', '[211, 211, -w - 4]', '[211, 211, -w^3 + 2*w^2 + 6*w - 5]', '[211, 211, 2*w^3 - 3*w^2 - 12*w - 4]', '[211, 211, -3*w^3 + 7*w^2 + 13*w - 4]', '[225, 15, -3*w^3 + 7*w^2 + 12*w - 5]', '[225, 15, 3*w^3 - 7*w^2 - 14*w + 12]', '[225, 15, w^3 - w^2 - 6*w + 3]', '[225, 15, -3*w^3 + 5*w^2 + 18*w + 2]', '[225, 45, -2*w^3 + 5*w^2 + 10*w - 3]', '[225, 45, -w^3 + w^2 + 4*w - 3]', '[225, 45, -5*w^3 + 11*w^2 + 26*w - 14]', '[225, 45, w^3 - 3*w^2 - 5*w + 7]', '[243, 9, 3*w]', '[243, 9, 2*w^3 - 6*w^2 - 7*w + 6]', '[243, 9, -w^3 + 4*w^2 + 2*w - 11]', '[243, 9, 3*w^3 - 6*w^2 - 18*w + 3]', '[243, 27, w^3 - 3*w^2 - w + 3]', '[243, 27, w^3 - 3*w^2 - 2*w + 6]', '[243, 27, 2*w^3 - 3*w^2 - 14*w - 3]', '[243, 27, w^3 - w^2 - 8*w - 1]', '[243, 81, -3*w^3 + 7*w^2 + 14*w - 9]', '[243, 81, -w^3 + w^2 + 6*w]', '[243, 243, -3*w^3 + 8*w^2 + 12*w - 8]', '[243, 243, -2*w^2 + 3*w + 9]', '[256, 4, 4]', '[257, 257, -3*w^3 + 8*w^2 + 10*w - 2]', '[257, 257, 2*w^3 - 2*w^2 - 16*w - 7]', '[261, 87, -w^3 + w^2 + 6*w + 6]', '[261, 87, -w^2 + 5]', '[261, 87, -3*w^3 + 7*w^2 + 14*w - 3]', '[261, 87, -3*w^3 + 7*w^2 + 15*w - 5]', '[261, 261, -w^2 + 3*w + 9]', '[261, 261, -2*w^3 + 4*w^2 + 9*w - 2]', '[261, 261, -3*w^3 + 6*w^2 + 16*w - 3]', '[261, 261, w^2 - 3*w + 2]', '[263, 263, 3*w^3 - 6*w^2 - 17*w + 1]', '[263, 263, w^3 - 2*w^2 - 3*w - 1]', '[269, 269, 5*w^3 - 13*w^2 - 19*w + 7]', '[269, 269, -3*w^3 + 6*w^2 + 18*w - 1]', '[272, 34, 2*w^3 - 2*w^2 - 16*w - 10]', '[272, 34, -4*w^3 + 8*w^2 + 22*w - 4]', '[272, 34, -2*w^3 + 6*w^2 + 4*w - 4]', '[272, 34, 2*w^3 - 4*w^2 - 8*w + 2]', '[277, 277, w^3 - 4*w^2 - w + 5]', '[277, 277, -w^3 + 4*w^2 + w - 11]', '[283, 283, -w^3 + 5*w^2 - w - 14]', '[283, 283, 2*w^3 - 7*w^2 - 4*w + 10]', '[283, 283, -w^3 + w^2 + 9*w + 1]', '[283, 283, w^2 - 4*w - 5]', '[289, 17, -w^3 + 2*w^2 + 5*w - 5]', '[289, 17, 2*w^3 - 4*w^2 - 9*w + 1]', '[289, 17, -3*w^3 + 6*w^2 + 16*w - 2]', '[289, 17, -w^3 + w^2 + 6*w - 1]', '[289, 17, -w^3 + 2*w^2 + 5*w + 4]', '[289, 17, w^3 - 10*w - 7]', '[289, 289, 2*w^3 - 3*w^2 - 14*w - 7]', '[289, 289, -2*w^3 + 5*w^2 + 8*w - 7]', '[289, 289, w^3 - 3*w^2 - w - 1]', '[289, 289, w^3 - w^2 - 7*w - 1]', '[303, 303, -4*w^3 + 9*w^2 + 20*w - 13]', '[303, 303, w^3 - w^2 - 5*w + 3]', '[309, 309, 3*w^3 - 8*w^2 - 14*w + 16]', '[309, 309, -2*w^3 + 4*w^2 + 12*w + 1]', '[309, 309, 2*w - 3]', '[309, 309, 2*w^3 - 6*w^2 - 9*w + 3]', '[311, 311, -w^3 + w^2 + 9*w + 5]', '[311, 311, w^2 - 4*w - 1]', '[313, 313, -4*w^3 + 9*w^2 + 19*w - 10]', '[313, 313, -2*w^2 + 5*w + 11]', '[337, 337, -3*w^3 + 6*w^2 + 14*w + 2]', '[337, 337, -4*w^3 + 8*w^2 + 21*w + 1]', '[339, 339, -2*w^3 + 5*w^2 + 11*w - 3]', '[339, 339, 5*w^3 - 10*w^2 - 29*w + 4]', '[339, 339, w^3 - 2*w^2 - w]', '[339, 339, 2*w^3 - 5*w^2 - 11*w + 8]', '[347, 347, -2*w^3 + 6*w^2 + 7*w - 10]', '[347, 347, -w^3 + 4*w^2 + 2*w - 7]', '[361, 19, -4*w^3 + 11*w^2 + 13*w - 10]', '[361, 19, -2*w^3 + 5*w^2 + 8*w - 10]', '[373, 373, 2*w^3 - 5*w^2 - 10*w + 2]', '[373, 373, -w^3 + 2*w^2 + 8*w - 2]', '[373, 373, -2*w^3 + 4*w^2 + 13*w - 1]', '[373, 373, -w^3 + 3*w^2 + 5*w - 8]', '[381, 381, w^3 - 4*w^2 - 2*w + 3]', '[381, 381, -2*w^3 + 6*w^2 + 7*w - 14]', '[381, 381, 2*w^3 - 5*w^2 - 7*w + 6]', '[381, 381, 2*w^3 - 3*w^2 - 13*w - 1]', '[389, 389, -w^3 + 4*w^2 + 2*w - 10]', '[389, 389, -2*w^3 + 6*w^2 + 7*w - 7]', '[393, 393, 4*w^3 - 10*w^2 - 20*w + 9]', '[393, 393, 6*w^3 - 11*w^2 - 36*w + 2]', '[393, 393, -3*w^3 + 7*w^2 + 9*w - 6]', '[393, 393, -3*w^3 + 9*w^2 + 11*w - 20]', '[393, 393, -9*w^3 + 20*w^2 + 48*w - 20]', '[393, 393, w^3 - 3*w^2 - 2*w + 7]', '[393, 393, -w^3 + w^2 + 8*w]', '[393, 393, 3*w^3 - 8*w^2 - 11*w + 9]', '[400, 10, 2*w^3 - 6*w^2 - 6*w + 2]', '[400, 10, 2*w^2 - 4*w - 14]', '[417, 417, 2*w^3 - 2*w^2 - 16*w - 9]', '[417, 417, 3*w^3 - 8*w^2 - 15*w + 8]', '[417, 417, -2*w^3 + 5*w^2 + 8*w - 8]', '[417, 417, -w^3 + w^2 + 7*w]', '[419, 419, -2*w^3 + 5*w^2 + 6*w - 1]', '[419, 419, -3*w^3 + 5*w^2 + 19*w + 5]', '[425, 85, 2*w^3 - 6*w^2 - 11*w + 7]', '[425, 85, -w^3 + 2*w^2 + 2*w - 5]', '[425, 85, 2*w^3 - 5*w^2 - 12*w + 7]', '[425, 85, 4*w^3 - 9*w^2 - 19*w + 7]', '[425, 85, 5*w^3 - 12*w^2 - 26*w + 14]', '[425, 85, 4*w^3 - 8*w^2 - 23*w + 8]', '[425, 85, -2*w^3 + 3*w^2 + 11*w + 2]', '[425, 85, 3*w^3 - 7*w^2 - 17*w + 5]', '[432, 6, -2*w^3 + 6*w^2 + 4*w - 6]', '[432, 6, -2*w^3 + 2*w^2 + 16*w + 8]', '[432, 18, -2*w^3 + 6*w^2 + 8*w - 6]', '[432, 18, 2*w^3 - 6*w^2 - 8*w + 12]', '[432, 54, 2*w^3 - 6*w^2 - 6*w + 10]', '[432, 54, 2*w^2 - 4*w - 6]', '[433, 433, w^2 - 4*w - 2]', '[433, 433, w^3 - w^2 - 9*w - 4]', '[439, 439, -w^3 + 4*w^2 + w - 2]', '[439, 439, w^3 - 4*w^2 - w + 14]', '[443, 443, -2*w^3 + 5*w^2 + 9*w + 1]', '[443, 443, -w^2 + w + 10]', '[459, 51, -2*w^3 + 5*w^2 + 10*w - 1]', '[459, 51, -2*w^3 + 3*w^2 + 10*w]', '[459, 51, -2*w^3 + 6*w^2 + 7*w - 9]', '[459, 51, w^3 - w^2 - 8*w + 2]', '[459, 51, -w^3 + 3*w^2 + 5*w - 9]', '[459, 51, 5*w^3 - 11*w^2 - 25*w + 10]', '[459, 51, -w^3 + 3*w^2 + 2*w - 9]', '[459, 51, -w^3 + 4*w^2 + 2*w - 8]', '[459, 153, -2*w^3 + 3*w^2 + 11*w + 3]', '[459, 153, -w^3 + 4*w^2 - 3]', '[459, 153, 5*w^3 - 11*w^2 - 27*w + 9]', '[459, 153, -w^2 - 2*w + 3]', '[459, 153, 4*w^3 - 9*w^2 - 19*w + 6]', '[459, 153, 2*w^2 - 5*w - 12]', '[459, 153, 2*w^3 - 4*w^2 - 13*w + 3]', '[459, 153, w^3 - 2*w^2 - 8*w]', '[459, 459, -w^3 + 8*w + 11]', '[459, 459, -4*w^3 + 11*w^2 + 15*w - 9]', '[459, 459, -4*w^3 + 10*w^2 + 17*w - 6]', '[459, 459, -w^3 + 4*w^2 + 2*w - 15]', '[459, 459, -2*w^3 + 6*w^2 + 7*w - 2]', '[459, 459, -w^3 + 4*w^2 + w - 4]', '[459, 459, -3*w^2 + 5*w + 16]', '[459, 459, -w^3 + 4*w^2 + w - 12]', '[464, 58, 2*w^3 - 4*w^2 - 12*w - 2]', '[464, 58, 2*w - 4]', '[467, 467, w^3 - w^2 - 8*w + 4]', '[467, 467, w^3 - 4*w^2 + 2]', '[471, 471, -3*w^3 + 7*w^2 + 16*w - 5]', '[471, 471, -4*w^3 + 8*w^2 + 19*w - 8]', '[471, 471, -w^3 + 4*w^2 + 2*w - 9]', '[471, 471, 2*w^3 - 5*w^2 - 8*w + 9]', '[471, 471, -w^2 + 2*w + 9]', '[471, 471, w^3 - 3*w^2 - 6*w + 6]', '[471, 471, w^3 - w^2 - 7*w + 1]', '[471, 471, -3*w^3 + 7*w^2 + 18*w - 7]', '[477, 159, -w^2 + 4*w + 3]', '[477, 159, -w^3 + 2*w^2 + 8*w - 1]', '[477, 159, -2*w^3 + 4*w^2 + 13*w - 2]', '[477, 159, -w^3 + w^2 + 9*w + 3]', '[477, 477, 3*w^3 - 7*w^2 - 12*w + 7]', '[477, 477, -2*w^3 + 3*w^2 + 12*w]', '[477, 477, 3*w^3 - 7*w^2 - 13*w + 8]', '[477, 477, -3*w^3 + 5*w^2 + 18*w]', '[491, 491, -4*w^3 + 12*w^2 + 10*w - 11]', '[491, 491, 2*w^3 - w^2 - 18*w - 11]', '[491, 491, 3*w^3 - 9*w^2 - 7*w + 11]', '[491, 491, 2*w^3 - 20*w - 19]', '[493, 493, -w^3 + w^2 + 3*w + 2]', '[493, 493, -w^3 + 4*w^2 + 3*w - 13]', '[493, 493, -2*w^3 + 20*w + 23]', '[493, 493, 4*w^3 - 12*w^2 - 10*w + 7]', '[493, 493, -3*w^3 + 8*w^2 + 13*w - 5]', '[493, 493, 3*w^3 - 8*w^2 - 10*w + 8]', '[493, 493, 6*w^3 - 13*w^2 - 32*w + 10]', '[493, 493, -2*w^3 + 2*w^2 + 15*w + 7]', '[503, 503, w^3 - 3*w^2 - 4*w + 10]', '[503, 503, -w^3 + w^2 + 10*w - 2]', '[507, 39, 2*w^3 - 6*w^2 - 9*w + 6]', '[507, 39, -3*w^3 + 8*w^2 + 14*w - 13]', '[519, 519, 3*w^3 - 7*w^2 - 15*w + 4]', '[519, 519, 3*w^3 - 6*w^2 - 14*w + 5]', '[519, 519, w^3 - w^2 - 7*w - 9]', '[519, 519, w^2 - 6]', '[523, 523, -4*w^3 + 9*w^2 + 22*w - 7]', '[523, 523, w^3 - 3*w^2 - 7*w + 5]', '[529, 23, -2*w^3 + 4*w^2 + 10*w + 5]', '[529, 23, -2*w^3 + 4*w^2 + 10*w - 7]', '[537, 537, -3*w^3 + 6*w^2 + 17*w]', '[537, 537, w^3 - 4*w^2 - 7*w + 6]', '[537, 537, 4*w^3 - 11*w^2 - 19*w + 9]', '[537, 537, w^3 - 2*w^2 - 4*w + 6]', '[537, 537, 2*w^3 - 4*w^2 - 11*w + 7]', '[537, 537, -4*w^3 + 11*w^2 + 19*w - 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21*w + 14]', '[937, 937, -w^3 + 3*w^2 + w - 8]', '[937, 937, -2*w^3 + 3*w^2 + 14*w - 2]', '[939, 939, 5*w^3 - 13*w^2 - 26*w + 12]', '[939, 939, -5*w^3 + 12*w^2 + 19*w - 5]', '[939, 939, -2*w^3 + 5*w^2 + 11*w]', '[939, 939, -12*w^3 + 27*w^2 + 64*w - 28]', '[953, 953, -2*w^3 + w^2 + 17*w + 19]', '[953, 953, 4*w^3 - 11*w^2 - 13*w + 4]', '[961, 31, 2*w^3 - 3*w^2 - 11*w - 8]', '[961, 31, w^3 - 4*w^2 + 2*w + 11]', '[971, 971, 2*w^2 - 5*w - 4]', '[971, 971, -w^3 + 4*w^2 - 11]', '[976, 122, -2*w^3 + 4*w^2 + 14*w - 8]', '[976, 122, -8*w^3 + 22*w^2 + 28*w - 16]', '[991, 991, -2*w^3 + 6*w^2 + 9*w - 8]', '[991, 991, -2*w^3 + 3*w^2 + 13*w - 1]', '[991, 991, 3*w^3 - 8*w^2 - 14*w + 11]', '[991, 991, -2*w^3 + 5*w^2 + 7*w - 8]', '[997, 997, -2*w^3 + 5*w^2 + 6*w + 1]', '[997, 997, -3*w^3 + 5*w^2 + 19*w + 7]', '[997, 997, -6*w^3 + 12*w^2 + 33*w - 4]', '[997, 997, 4*w^3 - 11*w^2 - 15*w + 11]', '[1011, 1011, -3*w^3 + 10*w^2 + 10*w - 9]', '[1011, 1011, 4*w^3 - 11*w^2 - 15*w + 12]', '[1011, 1011, -3*w^2 + 5*w + 13]', '[1011, 1011, -4*w^3 + 12*w^2 + 15*w - 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6]', '[1296, 162, 2*w^2 - 6*w - 14]', '[1296, 162, 2*w^2 - 6*w]', '[1297, 1297, 4*w^3 - 7*w^2 - 26*w - 5]', '[1297, 1297, -3*w^3 + 9*w^2 + 12*w - 8]', '[1297, 1297, 3*w^3 - 9*w^2 - 12*w + 19]', '[1297, 1297, 6*w^3 - 11*w^2 - 35*w - 1]', '[1299, 1299, 3*w^3 - 7*w^2 - 15*w + 13]', '[1299, 1299, w^3 - 4*w^2 - 2*w]', '[1299, 1299, 2*w^3 - 6*w^2 - 7*w + 17]', '[1299, 1299, -w^2 - 3]', '[1301, 1301, -w^3 + 6*w^2 - 2*w - 22]', '[1301, 1301, 4*w^3 - 12*w^2 - 13*w + 11]', '[1303, 1303, 3*w^3 - 6*w^2 - 14*w + 1]', '[1303, 1303, 4*w^3 - 8*w^2 - 21*w + 2]', '[1317, 1317, 3*w^3 - 7*w^2 - 6*w + 3]', '[1317, 1317, 9*w^3 - 17*w^2 - 54*w + 2]', '[1317, 1317, -3*w^3 + 7*w^2 + 18*w - 3]', '[1317, 1317, 3*w^3 - 7*w^2 - 18*w + 10]', '[1325, 265, -w^3 + 5*w^2 + w - 16]', '[1325, 265, 3*w^3 - 3*w^2 - 23*w - 11]', '[1325, 265, -4*w^3 + 11*w^2 + 16*w - 10]', '[1325, 265, 4*w^3 - 11*w^2 - 12*w + 11]', '[1329, 1329, -w^3 + w^2 + 10*w]', '[1329, 1329, 3*w^3 - 7*w^2 - 7*w + 6]', '[1329, 1329, 8*w^3 - 15*w^2 - 48*w + 4]', '[1329, 1329, w^3 - 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2*w - 15]', '[1479, 1479, -3*w^3 + 5*w^2 + 15*w + 4]', '[1479, 1479, 4*w^3 - 9*w^2 - 21*w + 5]', '[1479, 1479, -w^3 + 5*w^2 - 3*w - 6]', '[1479, 1479, -3*w^3 + 8*w^2 + 11*w - 1]', '[1481, 1481, -9*w^3 + 24*w^2 + 33*w - 13]', '[1481, 1481, -3*w^3 + 27*w + 35]', '[1483, 1483, 2*w^3 + 3*w^2 - 25*w - 38]', '[1483, 1483, 8*w^3 - 23*w^2 - 25*w + 17]', '[1509, 1509, -2*w^3 + 4*w^2 + 14*w - 3]', '[1509, 1509, 2*w^2 - 6*w + 3]', '[1509, 1509, 6*w^3 - 13*w^2 - 28*w + 14]', '[1509, 1509, -9*w^3 + 20*w^2 + 48*w - 26]', '[1521, 39, -w^3 + 2*w^2 + 5*w - 7]', '[1521, 39, w^3 - 2*w^2 - 5*w - 6]', '[1521, 117, -w^3 + 4*w^2 + 4*w - 12]', '[1521, 117, 4*w^3 - 10*w^2 - 19*w + 7]', '[1525, 305, -w^3 - 3*w^2 + 17*w + 25]', '[1525, 305, -w^3 + 5*w^2 - 14]', '[1525, 305, 3*w^3 - 9*w^2 - 10*w + 11]', '[1525, 305, -5*w^3 + 11*w^2 + 21*w + 1]', '[1531, 1531, -3*w^3 + 10*w^2 + 8*w - 22]', '[1531, 1531, 3*w^3 - 6*w^2 - 13*w + 2]', '[1531, 1531, -2*w^3 + 8*w^2 + 3*w - 11]', '[1531, 1531, -5*w^3 + 10*w^2 + 27*w - 4]', '[1537, 1537, 2*w^3 - 2*w^2 - 14*w - 5]', '[1537, 1537, 4*w^3 - 10*w^2 - 16*w + 11]', '[1537, 1537, 4*w^3 - 10*w^2 - 17*w + 13]', '[1537, 1537, w^3 - 8*w - 4]', '[1543, 1543, -4*w^3 + 6*w^2 + 25*w + 4]', '[1543, 1543, 8*w^3 - 23*w^2 - 24*w + 17]', '[1557, 519, -2*w^3 + 7*w^2 + 4*w - 5]', '[1557, 519, -4*w^3 + 9*w^2 + 16*w - 9]', '[1557, 519, w^3 - 5*w^2 + w + 19]', '[1557, 519, -5*w^3 + 9*w^2 + 29*w - 3]', '[1557, 1557, w^2 - 5*w - 3]', '[1557, 1557, 6*w^3 - 14*w^2 - 29*w + 19]', '[1557, 1557, w^3 - 6*w]', '[1557, 1557, -2*w^3 + 3*w^2 + 15*w + 2]', '[1559, 1559, 5*w^3 - 8*w^2 - 31*w - 7]', '[1559, 1559, 5*w^3 - 12*w^2 - 19*w + 7]', '[1569, 1569, 7*w^3 - 14*w^2 - 37*w + 14]', '[1569, 1569, -12*w^3 + 27*w^2 + 61*w - 34]', '[1569, 1569, -2*w^3 + w^2 + 9*w - 3]', '[1569, 1569, 5*w^3 - 10*w^2 - 23*w + 12]', '[1583, 1583, 2*w^3 - 7*w^2 - 5*w + 14]', '[1583, 1583, 2*w^3 - 7*w^2 - 5*w + 11]', '[1583, 1583, 2*w^3 - 6*w^2 - 9*w + 17]', '[1583, 1583, 5*w^3 - 13*w^2 - 19*w + 13]', '[1587, 69, 2*w^3 - 6*w^2 - 3*w + 6]', '[1587, 69, 2*w^3 - 6*w^2 - 15*w + 6]', '[1587, 69, 3*w^3 - 4*w^2 - 22*w - 7]', '[1587, 69, -9*w^3 + 20*w^2 + 50*w - 19]', '[1609, 1609, -3*w^3 + 5*w^2 + 19*w - 2]', '[1609, 1609, -2*w^3 + 5*w^2 + 6*w - 8]', '[1611, 537, -5*w^3 + 13*w^2 + 22*w - 24]', '[1611, 537, 5*w^3 - 7*w^2 - 34*w - 10]', '[1611, 537, -3*w^3 + 7*w^2 + 12*w - 14]', '[1611, 537, -w^3 + 4*w^2 - 15]', '[1611, 537, -2*w^2 + 5*w]', '[1611, 537, -3*w^3 + 5*w^2 + 18*w - 7]', '[1611, 537, 4*w^2 - 7*w - 21]', '[1611, 537, -2*w^3 + 7*w^2 + 7*w - 17]', '[1611, 1611, -2*w^3 + 8*w^2 + 7*w - 21]', '[1611, 1611, -4*w^3 + 9*w^2 + 24*w - 9]', '[1611, 1611, 3*w^3 - 5*w^2 - 18*w + 2]', '[1611, 1611, -w^3 + 6*w^2 - 3*w - 27]', '[1611, 1611, -3*w^3 + 9*w^2 + 11*w - 17]', '[1611, 1611, 3*w^3 - 7*w^2 - 12*w + 9]', '[1611, 1611, 3*w^3 - 7*w^2 - 19*w + 5]', '[1611, 1611, 7*w^3 - 18*w^2 - 32*w + 16]', '[1613, 1613, -4*w^3 + 11*w^2 + 16*w - 16]', '[1613, 1613, -w^3 + 5*w^2 + w - 10]', '[1616, 202, -2*w^3 + 4*w^2 + 14*w - 2]', '[1637, 1637, w^3 - w^2 - 10*w - 1]', '[1637, 1637, 4*w^3 - 7*w^2 - 23*w - 2]', '[1637, 1637, -4*w^3 + 9*w^2 + 17*w - 5]', '[1637, 1637, w^3 - w^2 - 10*w - 4]', '[1641, 1641, -5*w^3 + 10*w^2 + 20*w - 9]', '[1641, 1641, 3*w^3 - 8*w^2 - 15*w + 5]', '[1641, 1641, w^3 - 2*w^2 - 6*w - 6]', '[1641, 1641, 8*w^3 - 17*w^2 - 41*w + 17]', '[1647, 183, 5*w^3 - 15*w^2 - 13*w + 9]', '[1647, 183, 4*w^3 - 7*w^2 - 26*w + 5]', '[1647, 183, -w^3 + w^2 + 8*w - 5]', '[1647, 183, 4*w^3 - 9*w^2 - 20*w + 3]', '[1647, 549, -10*w^3 + 23*w^2 + 50*w - 27]', '[1647, 549, 2*w^3 - 6*w^2 - 5*w]', '[1647, 549, 7*w^3 - 17*w^2 - 29*w + 15]', '[1647, 549, -2*w^3 + 5*w^2 + 12*w - 9]', '[1647, 1647, w^3 - 4*w^2 + 2*w + 3]', '[1647, 1647, 7*w^3 - 18*w^2 - 30*w + 14]', '[1647, 1647, -3*w^2 + 10*w - 3]', '[1647, 1647, -8*w^3 + 20*w^2 + 35*w - 20]', '[1648, 206, -2*w^3 + 6*w^2 + 4*w - 10]', '[1648, 206, -2*w^3 + 2*w^2 + 16*w + 4]', '[1663, 1663, 6*w^3 - 14*w^2 - 26*w + 5]', '[1663, 1663, -7*w^3 + 19*w^2 + 21*w - 14]', '[1663, 1663, -4*w^3 + 6*w^2 + 24*w + 11]', '[1663, 1663, 6*w^3 - 7*w^2 - 44*w - 22]', '[1667, 1667, 4*w^3 - 13*w^2 - 9*w + 14]', '[1667, 1667, 7*w^3 - 19*w^2 - 21*w + 13]', '[1699, 1699, 2*w^2 - 5*w - 2]', '[1699, 1699, -w^3 + 4*w^2 - 13]', '[1713, 1713, 5*w^3 - 13*w^2 - 27*w + 12]', '[1713, 1713, 9*w^3 - 22*w^2 - 43*w + 32]', '[1713, 1713, -6*w^3 + 15*w^2 + 25*w - 15]', '[1713, 1713, -13*w^3 + 29*w^2 + 70*w - 29]', '[1717, 1717, 2*w^2 - 5*w - 16]', '[1717, 1717, -2*w^3 + 7*w^2 + 10*w - 7]', '[1717, 1717, w^3 - 4*w^2 - 1]', '[1717, 1717, 7*w^3 - 17*w^2 - 35*w + 23]', '[1719, 573, -2*w^3 + 7*w^2 + 7*w - 8]', '[1719, 573, -w^2 - 5*w]', '[1719, 573, -2*w^3 + 8*w^2 + 3*w - 21]', '[1719, 573, -4*w^3 + 11*w^2 + 17*w - 19]', '[1719, 1719, -3*w^3 + 10*w^2 + 9*w - 27]', '[1719, 1719, 3*w^3 - 5*w^2 - 20*w + 4]', '[1719, 1719, -w^3 + 3*w^2 - 9]', '[1719, 1719, -4*w^3 + 8*w^2 + 25*w - 2]', '[1733, 1733, 5*w^3 - 9*w^2 - 29*w - 2]', '[1733, 1733, w^3 - 5*w^2 + w + 8]', '[1733, 1733, -4*w^3 + 9*w^2 + 16*w - 4]', '[1733, 1733, 3*w^3 - 5*w^2 - 20*w - 10]', '[1751, 1751, 2*w^3 - 2*w^2 - 15*w - 5]', '[1751, 1751, -9*w^3 + 24*w^2 + 33*w - 14]', '[1751, 1751, -3*w^3 + 27*w + 34]', '[1751, 1751, 2*w^3 - 8*w^2 - 6*w + 7]', '[1751, 1751, -6*w^3 + 16*w^2 + 26*w - 29]', '[1751, 1751, -4*w^3 + 11*w^2 + 11*w - 2]', '[1751, 1751, 3*w^3 - 8*w^2 - 10*w + 10]', '[1751, 1751, -4*w^3 + 5*w^2 + 29*w + 19]', '[1759, 1759, 5*w^3 - 5*w^2 - 37*w - 22]', '[1759, 1759, -8*w^3 + 21*w^2 + 28*w - 16]', '[1769, 1769, -3*w^3 + 5*w^2 + 16*w + 1]', '[1769, 1769, -8*w^3 + 23*w^2 + 25*w - 20]', '[1769, 1769, 2*w^3 + 3*w^2 - 25*w - 35]', '[1769, 1769, 5*w^3 - 11*w^2 - 24*w + 8]', '[1777, 1777, 5*w^3 - 12*w^2 - 22*w + 4]', '[1777, 1777, -4*w^3 + 9*w^2 + 23*w - 5]', '[1791, 597, 4*w^3 - 5*w^2 - 29*w - 18]', '[1791, 597, 3*w^3 - 5*w^2 - 21*w - 8]', '[1791, 597, -7*w^3 + 20*w^2 + 20*w - 19]', '[1791, 597, -3*w^3 + 10*w^2 + 8*w - 9]', '[1791, 1791, 5*w^3 - 5*w^2 - 35*w - 21]', '[1791, 1791, -2*w^3 + 9*w^2 - 18]', '[1791, 1791, -2*w - 7]', '[1791, 1791, -2*w^3 + w^2 + 17*w + 11]', '[1797, 1797, 3*w^3 - 29*w - 27]', '[1797, 1797, -2*w^3 + 7*w^2 + 5*w - 12]', '[1797, 1797, -2*w^3 + 7*w^2 + 5*w - 13]', '[1797, 1797, 2*w^2 - 4*w - 1]', '[1803, 1803, 5*w^3 - 12*w^2 - 21*w + 12]', '[1803, 1803, w^3 - w^2 - 10*w - 3]', '[1803, 1803, -4*w^2 + 9*w + 21]', '[1803, 1803, -8*w^3 + 19*w^2 + 41*w - 28]', '[1803, 1803, -8*w^3 + 19*w^2 + 39*w - 26]', '[1803, 1803, -4*w^3 + 9*w^2 + 17*w - 10]', '[1803, 1803, -w^3 + w^2 + 10*w + 2]', '[1803, 1803, w^3 - 2*w^2 - 9*w + 6]', '[1808, 226, 2*w^3 - 6*w^2 - 6*w + 14]', '[1808, 226, 2*w^2 - 4*w - 2]', '[1811, 1811, -3*w^3 + 7*w^2 + 11*w + 1]', '[1811, 1811, -3*w^3 + 8*w^2 + 16*w - 13]', '[1823, 1823, 2*w^2 - 5*w - 1]', '[1823, 1823, 2*w^2 - 2*w - 13]', '[1823, 1823, -w^3 + 4*w^2 - 14]', '[1823, 1823, 4*w^3 - 10*w^2 - 18*w + 5]', '[1847, 1847, 3*w - 5]', '[1847, 1847, -3*w^3 + 6*w^2 + 18*w + 2]', '[1849, 43, 4*w^3 - 8*w^2 - 20*w + 5]', '[1849, 43, -4*w^3 + 8*w^2 + 20*w + 1]', '[1871, 1871, -5*w^3 + 11*w^2 + 26*w - 16]', '[1871, 1871, -w^3 + w^2 + 4*w - 5]', '[1873, 1873, -2*w^3 + 6*w^2 + 5*w - 11]', '[1873, 1873, w^3 - 10*w - 4]', '[1875, 15, -5*w]', '[1875, 15, -5*w^3 + 10*w^2 + 30*w - 5]', '[1875, 75, 3*w^3 - 4*w^2 - 10*w + 6]', '[1875, 75, 4*w^3 - 7*w^2 - 22*w + 9]', '[1875, 75, -5*w^3 + 11*w^2 + 23*w - 17]', '[1875, 75, -14*w^3 + 30*w^2 + 75*w - 31]', '[1899, 633, -3*w^3 + 5*w^2 + 15*w - 1]', '[1899, 633, -3*w^3 + 5*w^2 + 16*w + 3]', '[1899, 633, -5*w^3 + 11*w^2 + 24*w - 6]', '[1899, 633, -6*w^3 + 13*w^2 + 30*w - 11]', '[1899, 633, -2*w^3 + 2*w^2 + 15*w + 15]', '[1899, 633, -w^2 + 3*w + 11]', '[1899, 633, 3*w^3 - 8*w^2 - 10*w]', '[1899, 633, -w^2 + 3*w - 4]', '[1899, 1899, 2*w^3 - 4*w^2 - 15*w + 8]', '[1899, 1899, -w^2 - 3*w + 4]', '[1899, 1899, -3*w^3 + 7*w^2 + 16*w - 2]', '[1899, 1899, 7*w^3 - 18*w^2 - 29*w + 13]', '[1899, 1899, -6*w^3 + 13*w^2 + 33*w - 9]', '[1899, 1899, -3*w^3 + 6*w^2 + 20*w + 3]', '[1899, 1899, -w^3 - 2*w^2 + 11*w + 21]', '[1899, 1899, -w^3 + 3*w^2 + 6*w - 9]', '[1901, 1901, 3*w^3 - 5*w^2 - 16*w - 11]', '[1901, 1901, 5*w^3 - 11*w^2 - 24*w - 2]', '[1907, 1907, -5*w^3 + 9*w^2 + 30*w + 4]', '[1907, 1907, -3*w^3 + 7*w^2 + 10*w - 1]', '[1921, 1921, -7*w^3 + 19*w^2 + 21*w - 10]', '[1921, 1921, 5*w^3 - 12*w^2 - 23*w + 7]', '[1921, 1921, -w^3 + 7*w + 11]', '[1921, 1921, 6*w^3 - 7*w^2 - 44*w - 26]', '[1921, 1921, -5*w^3 + 12*w^2 + 23*w - 16]', '[1921, 1921, -8*w^3 + 15*w^2 + 47*w - 5]', '[1921, 1921, 4*w^3 - 9*w^2 - 13*w + 8]', '[1921, 1921, w^3 - 7*w - 2]', '[1923, 1923, w^3 - w^2 - 13*w + 6]', '[1923, 1923, 4*w^3 - 9*w^2 - 18*w + 12]', '[1923, 1923, -13*w^3 + 29*w^2 + 70*w - 35]', '[1923, 1923, -5*w^3 + 12*w^2 + 30*w - 13]', '[1941, 1941, -10*w^3 + 21*w^2 + 54*w - 17]', '[1941, 1941, 3*w^3 - 5*w^2 - 11*w + 3]', '[1941, 1941, 5*w^3 - 11*w^2 - 23*w + 9]', '[1941, 1941, -4*w^3 + 7*w^2 + 22*w - 1]', '[1951, 1951, 3*w^3 - 5*w^2 - 16*w - 2]', '[1951, 1951, -5*w^3 + 11*w^2 + 24*w - 7]', '[1973, 1973, w^3 - 3*w^2 + w + 5]', '[1973, 1973, 3*w^3 - 4*w^2 - 17*w - 1]', '[1973, 1973, -w^3 + w^2 + 9*w + 11]', '[1973, 1973, -7*w^3 + 16*w^2 + 33*w - 17]', '[1977, 1977, -4*w^3 + 39*w + 42]', '[1977, 1977, -2*w^2 + 7*w + 3]', '[1977, 1977, -w^3 + 12*w + 10]', '[1977, 1977, 7*w^3 - 17*w^2 - 30*w + 16]', '[1979, 1979, -4*w^3 + 9*w^2 + 24*w - 4]', '[1979, 1979, 6*w^3 - 15*w^2 - 25*w + 8]', '[1993, 1993, -4*w^3 + 9*w^2 + 22*w - 5]', '[1993, 1993, -w^3 + 3*w^2 + 7*w - 7]', '[2003, 2003, -4*w^3 + 7*w^2 + 24*w + 10]', '[2003, 2003, -7*w^3 + 16*w^2 + 36*w - 14]', '[2003, 2003, -6*w^3 + 15*w^2 + 29*w - 13]', '[2003, 2003, 5*w^3 - 6*w^2 - 36*w - 22]', '[2019, 2019, w^3 - 9*w - 4]', '[2019, 2019, -2*w^3 + 4*w^2 + 15*w - 5]', '[2019, 2019, w^3 + 3*w^2 - 15*w - 24]', '[2019, 2019, 3*w^3 - 8*w^2 - 11*w + 12]', '[2025, 15, 3*w^3 - 9*w^2 - 9*w + 3]', '[2025, 15, 3*w^2 - 6*w - 21]', '[2025, 45, -2*w^2 + 3*w - 2]', '[2025, 45, 6*w^3 - 11*w^2 - 34*w + 3]', '[2025, 45, -w^3 + 3*w^2 + 5*w + 3]', '[2025, 45, -w^3 + 3*w^2 + 8*w - 6]', '[2025, 45, 5*w^3 - 11*w^2 - 21*w + 9]', '[2025, 45, -3*w^3 + 8*w^2 + 12*w - 19]', '[2025, 45, 2*w^3 - 5*w^2 - 10*w + 13]', '[2025, 45, 5*w^3 - 11*w^2 - 28*w + 7]', '[2025, 135, -3*w^3 + 5*w^2 + 13*w - 3]', '[2025, 135, w^3 - 2*w^2 - 2*w - 3]', '[2025, 135, -8*w^3 + 17*w^2 + 42*w - 15]', '[2025, 135, 4*w^3 - 8*w^2 - 23*w]', '[2025, 405, -6*w^3 + 14*w^2 + 29*w - 10]', '[2025, 405, -3*w^3 + 6*w^2 + 16*w - 10]', '[2025, 405, -w^3 + 6*w + 9]', '[2025, 405, -2*w^3 + 4*w^2 + 9*w - 9]', '[2027, 2027, w^3 - 4*w^2 + 2*w + 8]', '[2027, 2027, 2*w^3 - 3*w^2 - 14*w - 11]', '[2031, 2031, 4*w^3 - 8*w^2 - 15*w + 6]', '[2031, 2031, -4*w^3 + 8*w^2 + 19*w - 6]', '[2031, 2031, -7*w^3 + 19*w^2 + 31*w - 15]', '[2031, 2031, -3*w^3 + 9*w^2 + 10*w - 18]', '[2031, 2031, -5*w^3 + 10*w^2 + 26*w - 7]', '[2031, 2031, 9*w^3 - 18*w^2 - 50*w + 11]', '[2031, 2031, 10*w^3 - 23*w^2 - 52*w + 23]', '[2031, 2031, 4*w^3 - 8*w^2 - 25*w + 8]', '[2032, 254, 2*w^3 - 4*w^2 - 8*w - 4]', '[2032, 254, -4*w^3 + 8*w^2 + 22*w + 2]', '[2081, 2081, 3*w^3 - 9*w^2 - 8*w + 13]', '[2081, 2081, -4*w^3 + 9*w^2 + 18*w - 13]', '[2083, 2083, 6*w^3 - 17*w^2 - 16*w + 16]', '[2083, 2083, 5*w^3 - 5*w^2 - 39*w - 20]', '[2089, 2089, -w^3 - 3*w^2 + 16*w + 28]', '[2089, 2089, 5*w^3 - 15*w^2 - 14*w + 11]', '[2096, 262, -6*w^3 + 14*w^2 + 28*w - 16]', '[2096, 262, -2*w^2 + 2*w + 16]', '[2096, 262, 4*w^3 - 10*w^2 - 18*w + 2]', '[2096, 262, -6*w^3 + 12*w^2 + 32*w + 2]', '[2129, 2129, -5*w^3 + 7*w^2 + 35*w + 10]', '[2129, 2129, 4*w^3 - 11*w^2 - 10*w + 10]', '[2131, 2131, -3*w - 8]', '[2131, 2131, -3*w^3 + 6*w^2 + 18*w - 11]', '[2157, 2157, 4*w^3 - 6*w^2 - 15*w + 6]', '[2157, 2157, 6*w^3 - 12*w^2 - 29*w + 12]', '[2157, 2157, -7*w^3 + 14*w^2 + 36*w - 13]', '[2157, 2157, -15*w^3 + 32*w^2 + 80*w - 31]', '[2159, 2159, -8*w^3 + 23*w^2 + 24*w - 16]', '[2159, 2159, -7*w^3 + 19*w^2 + 24*w - 17]', '[2159, 2159, -5*w^3 + 10*w^2 + 28*w - 1]', '[2159, 2159, 2*w^3 - 7*w^2 - 7*w + 22]', '[2159, 2159, 4*w^3 - 11*w^2 - 17*w + 5]', '[2159, 2159, 2*w^3 - 4*w^2 - 7*w - 2]', '[2159, 2159, 3*w^3 - w^2 - 26*w - 22]', '[2159, 2159, 3*w^3 + w^2 - 31*w - 38]', '[2161, 2161, 3*w^2 - 9*w - 7]', '[2161, 2161, -3*w^2 + 9*w + 14]', '[2175, 435, 3*w^3 - 7*w^2 - 12*w + 10]', '[2175, 435, 6*w^3 - 13*w^2 - 30*w + 7]', '[2175, 435, 3*w^3 - 5*w^2 - 18*w + 3]', '[2175, 435, 4*w^3 - 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14]', '[4083, 4083, -w^3 + w^2 + w + 3]', '[4083, 4083, -5*w^3 + 13*w^2 + 23*w - 9]', '[4083, 4083, -2*w^3 + 7*w^2 + 8*w - 19]', '[4083, 4083, 8*w^3 - 17*w^2 - 44*w + 11]', '[4091, 4091, -2*w^3 + 7*w^2 + 4*w - 19]', '[4091, 4091, w^3 - 5*w^2 + w + 5]', '[4096, 8, 8]', '[4099, 4099, -6*w^3 + 17*w^2 + 20*w - 8]', '[4099, 4099, -4*w^3 + 11*w^2 + 19*w - 7]', '[4107, 111, -3*w^3 + 12*w^2 + 14*w - 9]', '[4107, 111, -6*w^3 + 15*w^2 + 29*w - 18]', '[4107, 111, 8*w^3 - 16*w^2 - 44*w + 19]', '[4107, 111, 2*w^3 - 7*w^2 - 9*w + 11]', '[4112, 514, -6*w^3 + 16*w^2 + 20*w - 4]', '[4112, 514, 4*w^3 - 4*w^2 - 32*w - 14]', '[4131, 153, -3*w - 9]', '[4131, 153, 6*w^3 - 15*w^2 - 24*w + 15]', '[4131, 153, -6*w^3 + 12*w^2 + 33*w]', '[4131, 153, w^3 - w^2 - 2*w - 4]', '[4131, 153, 4*w^3 - 6*w^2 - 23*w - 9]', '[4131, 153, 3*w^3 - 6*w^2 - 12*w - 3]', '[4131, 153, -2*w^3 + 3*w^2 + 16*w]', '[4131, 153, 4*w^3 - 13*w^2 - 8*w + 11]', '[4131, 153, 3*w^3 - 6*w^2 - 18*w + 12]', '[4131, 153, -7*w^3 + 15*w^2 + 38*w - 9]', '[4131, 153, -7*w^3 + 16*w^2 + 32*w - 8]', '[4131, 153, -3*w^3 + 3*w^2 + 21*w + 9]', '[4131, 153, -w^3 - 3*w^2 + 17*w + 27]', '[4131, 153, -w^3 + w^2 + 11*w + 4]', '[4131, 153, -3*w^2 + 9*w + 9]', '[4131, 153, -3*w^2 + 9*w + 12]', '[4131, 459, 4*w^3 - 7*w^2 - 26*w - 7]', '[4131, 459, 2*w^3 - 3*w^2 - 14*w - 12]', '[4131, 459, 7*w^3 - 19*w^2 - 24*w + 18]', '[4131, 459, 5*w^3 - 8*w^2 - 34*w - 8]', '[4131, 459, 4*w^3 - 10*w^2 - 21*w + 18]', '[4131, 459, -4*w^3 + 6*w^2 + 26*w + 3]', '[4131, 459, 3*w^3 - 8*w^2 - 16*w + 3]', '[4131, 459, 8*w^3 - 21*w^2 - 31*w + 12]', '[4131, 459, -2*w^3 - w^2 + 19*w + 29]', '[4131, 459, -w^3 + 3*w^2 + w + 6]', '[4131, 459, -3*w^3 + w^2 + 26*w + 21]', '[4131, 459, 4*w^3 - 10*w^2 - 14*w + 11]', '[4131, 459, 2*w^3 - 6*w^2 - w + 3]', '[4131, 459, 4*w^3 - 11*w^2 - 17*w + 15]', '[4131, 459, w^3 - 3*w^2 + w - 3]', '[4131, 459, 2*w^3 - 7*w^2 - 7*w + 12]', '[4131, 1377, 5*w^3 - 7*w^2 - 34*w - 18]', '[4131, 1377, 8*w^3 - 15*w^2 - 47*w + 6]', '[4131, 1377, 5*w^3 - 13*w^2 - 16*w + 3]', '[4131, 1377, 2*w^3 - 5*w^2 - 3*w]', '[4131, 1377, -6*w^3 + 11*w^2 + 37*w + 3]', '[4131, 1377, 5*w^3 - 14*w^2 - 15*w + 15]', '[4131, 1377, 4*w^3 - 9*w^2 - 13*w + 9]', '[4131, 1377, -3*w^3 + 2*w^2 + 25*w + 15]', '[4131, 4131, -w - 8]', '[4131, 4131, -w^3 + 9*w]', '[4131, 4131, -w^3 + 7*w^2 - 5*w - 28]', '[4131, 4131, -4*w^3 + 13*w^2 + 10*w - 12]', '[4131, 4131, -w^3 + 2*w^2 + 6*w - 9]', '[4131, 4131, -3*w^3 + 8*w^2 + 11*w - 16]', '[4131, 4131, 5*w^3 - 11*w^2 - 22*w + 3]', '[4131, 4131, -5*w^3 + 9*w^2 + 28*w + 4]', '[4133, 4133, -2*w^3 + 19*w + 26]', '[4133, 4133, -5*w^3 + 14*w^2 + 16*w - 5]', '[4157, 4157, 7*w^3 - 5*w^2 - 56*w - 43]', '[4157, 4157, -w^3 + 3*w^2 + 4*w - 13]', '[4157, 4157, w^3 - 3*w^2 - 4*w - 4]', '[4157, 4157, -5*w^3 + 14*w^2 + 21*w - 26]', '[4159, 4159, -2*w^3 + 7*w^2 + 7*w - 13]', '[4159, 4159, 4*w^3 - 11*w^2 - 17*w + 14]', '[4176, 174, -2*w^3 + 2*w^2 + 12*w + 12]', '[4176, 174, -2*w^2 + 10]', '[4176, 174, -6*w^3 + 14*w^2 + 28*w - 6]', '[4176, 174, -6*w^3 + 14*w^2 + 30*w - 10]', '[4176, 522, -2*w^2 + 6*w + 18]', '[4176, 522, -4*w^3 + 8*w^2 + 18*w - 4]', '[4176, 522, -6*w^3 + 12*w^2 + 32*w - 6]', '[4176, 522, 2*w^2 - 6*w + 4]', '[4177, 4177, -3*w^3 + 7*w^2 + 14*w + 4]', '[4177, 4177, w^3 - w^2 - 6*w - 13]', '[4177, 4177, -5*w^3 + 13*w^2 + 20*w - 17]', '[4177, 4177, -2*w^3 + 5*w^2 + 12*w - 14]', '[4203, 1401, 8*w^3 - 19*w^2 - 34*w + 15]', '[4203, 1401, 9*w^3 - 20*w^2 - 42*w + 19]', '[4203, 1401, -7*w^3 + 17*w^2 + 29*w - 16]', '[4203, 1401, 5*w^3 - 9*w^2 - 29*w + 12]', '[4203, 4203, -5*w^3 + 13*w^2 + 23*w - 15]', '[4203, 4203, -w^3 + w^2 + 16*w - 7]', '[4203, 4203, 8*w^3 - 19*w^2 - 42*w + 18]', '[4203, 4203, 3*w^3 - 9*w^2 - 17*w + 14]', '[4208, 526, 6*w^3 - 12*w^2 - 34*w + 2]', '[4208, 526, 2*w^3 - 4*w^2 - 6*w - 2]', '[4211, 4211, -3*w^3 + 9*w^2 + 13*w - 23]', '[4211, 4211, -2*w^3 + 5*w^2 + 12*w - 13]', '[4211, 4211, 6*w^3 - 15*w^2 - 26*w + 19]', '[4211, 4211, -5*w^3 + 2*w^2 + 43*w + 46]', '[4225, 65, -6*w^3 + 9*w^2 + 38*w + 11]', '[4225, 65, 7*w^3 - 17*w^2 - 27*w + 11]', '[4239, 471, 5*w^3 - 9*w^2 - 28*w]', '[4239, 471, -4*w^3 + 10*w^2 + 23*w - 14]', '[4239, 471, 5*w^3 - 12*w^2 - 28*w + 9]', '[4239, 471, 5*w^3 - 11*w^2 - 22*w + 7]', '[4239, 471, -2*w^3 + 3*w^2 + 16*w + 3]', '[4239, 471, 5*w^3 - 11*w^2 - 22*w + 13]', '[4239, 471, w^3 - w^2 - 11*w - 1]', '[4239, 471, 5*w^3 - 9*w^2 - 28*w + 6]', '[4239, 1413, -w^3 + 3*w^2 + 7*w - 9]', '[4239, 1413, -3*w^3 + 5*w^2 + 16*w - 9]', '[4239, 1413, 4*w^3 - 11*w^2 - 20*w + 15]', '[4239, 1413, 3*w^3 - 4*w^2 - 20*w - 3]', '[4239, 1413, -5*w^3 + 11*w^2 + 24*w - 18]', '[4239, 1413, 4*w^3 - 9*w^2 - 22*w + 3]', '[4239, 1413, 4*w^3 - 10*w^2 - 15*w + 12]', '[4239, 1413, -5*w^3 + 13*w^2 + 25*w - 15]', '[4239, 4239, -3*w^3 + 7*w^2 + 22*w + 1]', '[4239, 4239, -7*w^3 + 15*w^2 + 42*w - 18]', '[4239, 4239, -w^3 + 2*w^2 + 12*w - 4]', '[4239, 4239, -5*w^3 + 7*w^2 + 29*w + 5]', '[4239, 4239, 6*w^3 - 11*w^2 - 32*w + 6]', '[4239, 4239, 7*w^3 - 15*w^2 - 33*w + 14]', '[4239, 4239, 10*w^3 - 23*w^2 - 46*w + 21]', '[4239, 4239, 6*w^3 - 12*w^2 - 37*w + 3]', '[4261, 4261, 3*w^2 - 6*w - 22]', '[4261, 4261, 2*w^3 + w^2 - 20*w - 20]', '[4261, 4261, -3*w^3 + 9*w^2 + 9*w - 2]', '[4261, 4261, 5*w^3 - 12*w^2 - 23*w + 1]', '[4273, 4273, -2*w^3 + 6*w^2 + 5*w - 16]', '[4273, 4273, -w^3 + 10*w - 1]', '[4273, 4273, -5*w^3 + 8*w^2 + 33*w + 1]', '[4273, 4273, 3*w^3 - 8*w^2 - 7*w + 11]', '[4287, 4287, -6*w^3 + 12*w^2 + 29*w - 11]', '[4287, 4287, 5*w^3 - 12*w^2 - 25*w + 8]', '[4287, 4287, 6*w^3 - 11*w^2 - 20*w + 9]', '[4287, 4287, w^3 - w^2 - 7*w - 12]', '[4293, 159, -3*w^3 + 9*w^2 + 12*w - 12]', '[4293, 159, -3*w^3 + 9*w^2 + 12*w - 15]', '[4293, 477, 2*w^3 - 2*w^2 - 13*w + 4]', '[4293, 477, -4*w^3 + 11*w^2 + 20*w - 13]', '[4293, 477, -3*w^3 + 10*w^2 + 8*w - 15]', '[4293, 477, 4*w^3 - 3*w^2 - 32*w - 21]', '[4293, 477, -2*w^3 + 8*w^2 + 3*w - 18]', '[4293, 477, -5*w^3 + 13*w^2 + 25*w - 17]', '[4293, 477, 2*w^3 - 19*w - 15]', '[4293, 477, 4*w^3 - 7*w^2 - 23*w + 8]', '[4293, 1431, -w^3 + 5*w^2 - w - 3]', '[4293, 1431, -2*w^3 + 6*w^2 + 5*w - 15]', '[4293, 1431, w^3 - 10*w]', '[4293, 1431, -2*w^3 + 7*w^2 + 4*w - 21]', '[4293, 4293, -w^3 - w^2 + 7*w + 13]', '[4293, 4293, -8*w^3 + 20*w^2 + 35*w - 15]', '[4293, 4293, -w^3 - 2*w^2 + 10*w + 20]', '[4293, 4293, -8*w^3 + 19*w^2 + 38*w - 15]', '[4299, 4299, 7*w^3 - 19*w^2 - 28*w + 43]', '[4299, 4299, 14*w^3 - 31*w^2 - 77*w + 34]', '[4299, 4299, 8*w^3 - 18*w^2 - 42*w + 15]', '[4299, 4299, -2*w^3 + 7*w^2 + 17*w - 3]', '[4299, 4299, -3*w^3 + 5*w^2 + 11*w - 12]', '[4299, 4299, -w^3 + 2*w^2 + 15*w - 6]', '[4299, 4299, -21*w^3 + 44*w^2 + 116*w - 34]', '[4299, 4299, 9*w^3 - 18*w^2 - 55*w + 4]', '[4304, 538, 10*w^3 - 26*w^2 - 38*w + 14]', '[4304, 538, -6*w^3 + 12*w^2 + 36*w - 2]', '[4325, 865, -5*w^3 + 13*w^2 + 23*w - 17]', '[4325, 865, -2*w^3 + 7*w^2 + 3*w - 16]', '[4325, 865, 3*w^2 - 7*w - 7]', '[4325, 865, -2*w^3 + 7*w^2 + 8*w - 11]', '[4339, 4339, -3*w^3 + 10*w^2 + 11*w - 28]', '[4339, 4339, 5*w^3 - 14*w^2 - 21*w + 8]', '[4339, 4339, -w^3 + 5*w^2 - 2*w - 19]', '[4339, 4339, -w^3 + 5*w^2 - 2*w - 4]', '[4352, 68, 4*w^3 - 4*w^2 - 32*w - 20]', '[4352, 68, -8*w^3 + 16*w^2 + 44*w - 8]', '[4352, 68, -4*w^3 + 12*w^2 + 8*w - 8]', '[4352, 68, 4*w^3 - 8*w^2 - 16*w + 4]', '[4359, 4359, -7*w^3 + 17*w^2 + 34*w - 29]', '[4359, 4359, 2*w^3 - 5*w^2 - 8*w + 14]', '[4359, 4359, w^3 - w^2 - 7*w + 6]', '[4359, 4359, w^3 - 5*w^2 - 4*w]', '[4369, 4369, 3*w^3 - 10*w^2 - 8*w + 17]', '[4369, 4369, -4*w^3 + 11*w^2 + 18*w - 17]', '[4369, 4369, -6*w^3 + 20*w^2 + 19*w - 52]', '[4369, 4369, -8*w^3 + 15*w^2 + 49*w - 10]', '[4369, 4369, -7*w^3 + 14*w^2 + 40*w - 4]', '[4369, 4369, -9*w^3 + 3*w^2 + 78*w + 83]', '[4369, 4369, -9*w^3 + 20*w^2 + 44*w - 11]', '[4369, 4369, -5*w^3 + 13*w^2 + 16*w + 2]', '[4391, 4391, -5*w^3 + 16*w^2 + 10*w - 22]', '[4391, 4391, 2*w^3 + 2*w^2 - 25*w - 23]', '[4419, 1473, w^3 - 4*w^2 + 3*w + 3]', '[4419, 1473, 7*w^3 - 20*w^2 - 23*w + 19]', '[4419, 1473, -7*w^3 + 13*w^2 + 42*w - 6]', '[4419, 1473, 3*w^3 - 11*w^2 - 6*w + 28]', '[4419, 1473, -3*w^3 + 7*w^2 + 8*w - 9]', '[4419, 1473, -3*w^3 + 11*w^2 + 6*w - 13]', '[4419, 1473, -3*w^3 + 4*w^2 + 23*w + 9]', '[4419, 1473, -w^3 - 4*w^2 + 17*w + 29]', '[4419, 4419, 3*w^2 - 10*w - 15]', '[4419, 4419, 3*w^3 - 10*w^2 - 6*w + 18]', '[4419, 4419, -2*w^3 + 5*w^2 + 2*w - 6]', '[4419, 4419, -w^3 - w^2 + 15*w + 5]', '[4419, 4419, w^3 - 5*w^2 + 2*w + 20]', '[4419, 4419, 7*w^3 - 13*w^2 - 43*w + 4]', '[4419, 4419, -4*w^2 + 9*w + 13]', '[4419, 4419, -w^3 + 5*w^2 - 2*w - 3]', '[4421, 4421, 6*w^2 - 13*w - 31]', '[4421, 4421, 8*w^3 - 14*w^2 - 46*w - 13]', '[4421, 4421, -8*w^3 + 18*w^2 + 34*w - 1]', '[4421, 4421, 5*w^3 - 16*w^2 - 12*w + 16]', '[4432, 554, 2*w^3 - 8*w^2 - 2*w + 10]', '[4432, 554, -2*w^3 + 8*w^2 + 2*w - 22]', '[4437, 1479, 2*w^3 - 7*w^2 - 13*w + 2]', '[4437, 1479, 3*w^3 - 8*w^2 - 16*w]', '[4437, 1479, -7*w^3 + 14*w^2 + 41*w - 4]', '[4437, 1479, -6*w^3 + 10*w^2 + 38*w + 9]', '[4437, 1479, -6*w^3 + 14*w^2 + 25*w - 9]', '[4437, 1479, 5*w^3 - 4*w^2 - 37*w - 25]', '[4437, 1479, -5*w^3 + 8*w^2 + 30*w + 6]', '[4437, 1479, -11*w^3 + 28*w^2 + 43*w - 23]', '[4437, 1479, 4*w^3 - 10*w^2 - 12*w + 3]', '[4437, 1479, w^3 - 2*w^2 + w - 2]', '[4437, 1479, -w^3 + 5*w^2 - w - 4]', '[4437, 1479, -3*w^3 + w^2 + 29*w + 33]', '[4437, 1479, 4*w^3 - 10*w^2 - 21*w + 21]', '[4437, 1479, 10*w^3 - 23*w^2 - 53*w + 31]', '[4437, 1479, -2*w^3 + 7*w^2 + 4*w - 20]', '[4437, 1479, -4*w^3 + 13*w^2 + 6*w - 3]', '[4437, 4437, -5*w^3 + 7*w^2 + 35*w + 17]', '[4437, 4437, w^3 - 4*w^2 - 4*w + 16]', '[4437, 4437, -5*w^3 + 13*w^2 + 24*w - 18]', '[4437, 4437, -w^3 + 3*w^2 + 12*w + 4]', '[4437, 4437, 9*w^3 - 19*w^2 - 52*w + 21]', '[4437, 4437, 3*w^3 - 9*w^2 - 14*w + 11]', '[4437, 4437, 4*w^3 - 10*w^2 - 19*w + 3]', '[4437, 4437, 4*w^2 - 5*w - 17]', '[4437, 4437, -4*w^3 + 3*w^2 + 29*w + 26]', '[4437, 4437, 4*w^3 - 11*w^2 - 10*w + 3]', '[4437, 4437, 2*w^3 - 3*w^2 - 16*w - 1]', '[4437, 4437, -3*w^3 + 6*w^2 + 13*w + 6]', '[4437, 4437, -5*w^3 + 10*w^2 + 27*w + 4]', '[4437, 4437, w^3 - w^2 - 11*w - 3]', '[4437, 4437, -10*w^3 + 25*w^2 + 41*w - 15]', '[4437, 4437, -7*w^3 + 18*w^2 + 30*w - 18]', '[4443, 4443, 5*w^2 - 13*w - 21]', '[4443, 4443, 5*w^3 - 13*w^2 - 23*w + 16]', '[4443, 4443, -4*w^3 + 11*w^2 + 12*w - 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2*w - 3]', '[4923, 4923, -8*w^3 + 18*w^2 + 34*w - 17]', '[4923, 4923, 5*w^3 - 9*w^2 - 27*w + 9]', '[4931, 4931, 6*w^3 - 15*w^2 - 25*w + 17]', '[4931, 4931, 2*w^3 - w^2 - 15*w - 8]', '[4937, 4937, -7*w^3 + 19*w^2 + 23*w - 7]', '[4937, 4937, -4*w^3 + 3*w^2 + 32*w + 31]', '[4941, 183, -3*w^3 + 6*w^2 + 21*w - 12]', '[4941, 183, -12*w^3 + 33*w^2 + 42*w - 24]', '[4941, 549, 14*w^3 - 32*w^2 - 67*w + 31]', '[4941, 549, 5*w^3 - 14*w^2 - 19*w + 19]', '[4941, 549, 2*w^3 - 6*w^2 - 2*w - 3]', '[4941, 549, -9*w^3 + 20*w^2 + 51*w - 25]', '[4941, 549, -4*w^3 + 11*w^2 + 8*w - 6]', '[4941, 549, -8*w^3 + 22*w^2 + 31*w - 17]', '[4941, 549, 7*w^3 - 15*w^2 - 35*w + 6]', '[4941, 549, -5*w^3 + 12*w^2 + 19*w - 12]', '[4941, 1647, 12*w^3 - 29*w^2 - 52*w + 24]', '[4941, 1647, -5*w^3 + 11*w^2 + 27*w - 18]', '[4941, 1647, -5*w^3 + 10*w^2 + 31*w - 9]', '[4941, 1647, -6*w^3 + 16*w^2 + 20*w - 15]', '[4941, 4941, -3*w^3 + 9*w^2 + 13*w - 12]', '[4941, 4941, -3*w^3 + 3*w^2 + 31*w - 12]', '[4941, 4941, 2*w^3 - 8*w^2 + w + 5]', '[4941, 4941, 4*w^3 - 11*w^2 - 18*w + 16]', '[4943, 4943, 4*w^3 - 8*w^2 - 22*w + 13]', '[4943, 4943, 4*w^3 - 37*w - 47]', '[4943, 4943, 5*w^3 - 15*w^2 - 17*w + 26]', '[4943, 4943, -11*w^3 + 30*w^2 + 38*w - 16]', '[4944, 618, 6*w^3 - 16*w^2 - 28*w + 32]', '[4944, 618, -4*w^3 + 8*w^2 + 24*w + 2]', '[4944, 618, 4*w - 6]', '[4944, 618, 4*w^3 - 12*w^2 - 18*w + 6]', '[4957, 4957, -4*w^3 + 13*w^2 + 12*w - 14]', '[4957, 4957, 3*w^3 - 11*w^2 - 7*w + 28]', '[4967, 4967, -7*w^3 + 19*w^2 + 27*w - 26]', '[4967, 4967, -5*w^2 + 8*w + 16]', '[4975, 995, -2*w^3 + 2*w^2 + 17*w - 1]', '[4975, 995, 5*w^3 - 13*w^2 - 24*w + 16]', '[4975, 995, 7*w^3 - 15*w^2 - 37*w + 7]', '[4975, 995, -3*w^3 + 9*w^2 + 14*w - 13]', '[4976, 622, -2*w^3 + 2*w^2 + 18*w + 10]', '[4976, 622, 2*w^2 - 8*w - 2]', '[4989, 4989, -2*w^3 + 6*w^2 + 7*w + 1]', '[4989, 4989, 5*w^3 - 14*w^2 - 20*w + 23]', '[4989, 4989, -5*w^3 + 10*w^2 + 27*w + 6]', '[4989, 4989, w^3 + 4*w^2 - 16*w - 31]', '[4989, 4989, 7*w^3 - 16*w^2 - 37*w + 13]', '[4989, 4989, -8*w^3 + 22*w^2 + 29*w - 18]', '[4989, 4989, 2*w^3 - 8*w^2 - 5*w + 12]', '[4989, 4989, -w^3 + 4*w^2 + 2*w - 18]', '[4993, 4993, -10*w^3 + 18*w^2 + 59*w + 7]', '[4993, 4993, 7*w^3 - 16*w^2 - 26*w + 4]', '[5001, 5001, 2*w^3 - 3*w^2 - 10*w - 10]', '[5001, 5001, 5*w^3 - 11*w^2 - 25*w]', '[5001, 5001, w^3 - 4*w^2 - w - 2]', '[5001, 5001, 8*w^3 - 10*w^2 - 54*w - 33]', '[5008, 626, -8*w^3 + 18*w^2 + 38*w - 20]', '[5008, 626, -4*w^2 + 10*w + 22]', '[5009, 5009, -2*w^3 + 8*w^2 + 5*w - 22]', '[5009, 5009, -5*w^3 + 14*w^2 + 20*w - 13]', '[5017, 5017, 3*w^3 - 9*w^2 - 5*w + 10]', '[5017, 5017, -4*w^3 + 5*w^2 + 30*w + 10]', '[5017, 5017, 11*w^3 - 30*w^2 - 39*w + 23]', '[5017, 5017, 3*w^3 + 2*w^2 - 31*w - 41]', '[5021, 5021, 3*w^3 - 7*w^2 - 10*w + 10]', '[5021, 5021, -5*w^3 + 9*w^2 + 30*w - 5]', '[5041, 71, -8*w^3 + 17*w^2 + 41*w - 4]', '[5041, 71, -7*w^3 + 16*w^2 + 33*w - 19]', '[5087, 5087, -6*w^3 + 15*w^2 + 28*w - 11]', '[5087, 5087, -w^3 + 5*w^2 + 3*w - 17]', '[5087, 5087, -w^3 + 5*w^2 - 3*w - 17]', '[5087, 5087, -3*w^2 + 8*w + 5]', '[5097, 5097, -7*w^3 + 13*w^2 + 43*w + 2]', '[5097, 5097, 5*w^3 - 12*w^2 - 27*w + 19]', '[5097, 5097, 3*w^3 - 8*w^2 - 17*w + 3]', '[5097, 5097, 2*w^3 - 5*w^2 - 2*w]', '[5113, 5113, -4*w^3 + 11*w^2 + 18*w - 14]', '[5113, 5113, -3*w^3 + 9*w^2 + 13*w - 14]', '[5119, 5119, 2*w^3 - 2*w^2 - 16*w - 1]', '[5119, 5119, -2*w^3 + 6*w^2 + 4*w - 13]', '[5139, 1713, -2*w^3 + 4*w^2 + 7*w + 12]', '[5139, 1713, 3*w^3 - 7*w^2 - 18*w + 17]', '[5139, 1713, -8*w^3 + 16*w^2 + 43*w - 17]', '[5139, 1713, -4*w^3 + 7*w^2 + 24*w - 6]', '[5139, 5139, -9*w^3 + 20*w^2 + 51*w - 18]', '[5139, 5139, -11*w^3 + 26*w^2 + 50*w - 20]', '[5139, 5139, 4*w^3 - 11*w^2 - 18*w + 27]', '[5139, 5139, 9*w^3 - 22*w^2 - 46*w + 23]', '[5151, 5151, w^3 - 5*w^2 - 4*w + 15]', '[5151, 5151, -7*w^3 + 15*w^2 + 41*w - 16]', '[5151, 5151, 3*w^2 - 4*w - 5]', '[5151, 5151, 5*w^3 - 13*w^2 - 21*w + 21]', '[5151, 5151, -7*w^3 + 17*w^2 + 34*w - 14]', '[5151, 5151, 2*w^3 - 5*w^2 - 16*w]', '[5151, 5151, -w^3 + 2*w^2 + 6*w + 8]', '[5151, 5151, -w + 9]', '[5157, 573, -4*w^3 + 7*w^2 + 20*w - 2]', '[5157, 573, -2*w^3 + 16*w + 21]', '[5157, 573, -2*w^3 - 4*w^2 + 25*w + 50]', '[5157, 573, 4*w^3 - 9*w^2 - 17*w - 6]', '[5157, 1719, -4*w^3 + 7*w^2 + 21*w + 3]', '[5157, 1719, 6*w^3 - 13*w^2 - 29*w + 6]', '[5157, 1719, -12*w^3 + 22*w^2 + 71*w]', '[5157, 1719, -4*w^3 + 8*w^2 + 26*w + 3]', '[5157, 5157, -9*w^3 + 17*w^2 + 51*w + 4]', '[5157, 5157, -w^2 - 4*w + 5]', '[5157, 5157, 3*w^3 - 3*w^2 - 20*w - 21]', '[5157, 5157, -6*w^3 + 14*w^2 + 26*w - 15]', '[5171, 5171, 6*w^3 - 17*w^2 - 19*w + 19]', '[5171, 5171, -2*w^2 + w + 20]', '[5171, 5171, -6*w^3 + 9*w^2 + 39*w + 17]', '[5171, 5171, -6*w^3 + 15*w^2 + 21*w - 4]', '[5191, 5191, -7*w^3 + 18*w^2 + 29*w - 11]', '[5191, 5191, -5*w^3 + 8*w^2 + 32*w + 2]', '[5191, 5191, 3*w^3 - 12*w^2 - 5*w + 34]', '[5191, 5191, -w^3 + 9*w^2 - 8*w - 43]', '[5191, 5191, 6*w^2 - 12*w - 29]', '[5191, 5191, w^3 + 2*w^2 - 11*w - 23]', '[5191, 5191, 10*w^3 - 25*w^2 - 39*w + 14]', '[5191, 5191, -10*w^3 + 24*w^2 + 46*w - 19]', '[5197, 5197, 3*w^3 + 3*w^2 - 34*w - 46]', '[5197, 5197, -11*w^3 + 31*w^2 + 36*w - 25]', '[5199, 5199, 2*w^2 - w - 13]', '[5199, 5199, 3*w^3 - 2*w^2 - 24*w - 15]', '[5199, 5199, -4*w^3 + 11*w^2 + 18*w - 15]', '[5199, 5199, -3*w^3 + 9*w^2 + 13*w - 13]', '[5199, 5199, -2*w^3 + 4*w^2 + 2*w - 9]', '[5199, 5199, 8*w^3 - 22*w^2 - 35*w + 43]', '[5199, 5199, 7*w^3 - 8*w^2 - 49*w - 30]', '[5199, 5199, -w^3 - 2*w^2 + 16*w + 26]', '[5209, 5209, -w^3 + 4*w^2 - 3*w - 8]', '[5209, 5209, -3*w^3 + 4*w^2 + 23*w + 4]', '[5209, 5209, 3*w^3 - 5*w^2 - 22*w - 5]', '[5209, 5209, -w^3 + w^2 + 12*w - 2]', '[5227, 5227, -3*w^3 + 7*w^2 + 16*w - 16]', '[5227, 5227, 7*w^3 - 12*w^2 - 42*w - 5]', '[5227, 5227, -3*w^3 + 5*w^2 + 22*w - 4]', '[5227, 5227, 8*w^3 - 16*w^2 - 47*w + 5]', '[5253, 5253, -5*w^3 + 13*w^2 + 18*w - 14]', '[5253, 5253, -3*w^3 + 3*w^2 + 22*w + 9]', '[5253, 5253, 4*w^3 - 5*w^2 - 24*w - 12]', '[5253, 5253, 9*w^3 - 21*w^2 - 41*w + 14]', '[5253, 5253, -4*w^3 + 14*w^2 + 10*w - 33]', '[5253, 5253, 7*w^3 - 16*w^2 - 32*w]', '[5253, 5253, w^3 - 6*w^2 + 6*w + 14]', '[5253, 5253, 6*w^3 - 13*w^2 - 30*w - 5]', '[5253, 5253, 6*w^3 - 11*w^2 - 38*w + 10]', '[5253, 5253, w^3 + 2*w^2 - 13*w - 27]', '[5253, 5253, w^3 - 3*w^2 + 3*w + 12]', '[5253, 5253, 5*w^3 - 14*w^2 - 17*w + 5]', '[5253, 5253, 4*w^2 - 11*w - 15]', '[5253, 5253, 3*w^3 - 5*w^2 - 15*w - 15]', '[5253, 5253, 4*w^3 - 6*w^2 - 23*w - 17]', '[5253, 5253, 4*w^3 - 14*w^2 - 10*w + 17]', '[5275, 1055, -4*w^3 + 13*w^2 + 8*w - 10]', '[5275, 1055, 7*w^3 - 9*w^2 - 49*w - 26]', '[5275, 1055, w^3 + 3*w^2 - 17*w - 28]', '[5275, 1055, -9*w^3 + 12*w^2 + 60*w + 32]', '[5275, 1055, 6*w^3 - 14*w^2 - 28*w - 1]', '[5275, 1055, -5*w^3 + 11*w^2 + 21*w - 4]', '[5275, 1055, 6*w^3 - 11*w^2 - 34*w - 2]', '[5275, 1055, -2*w^3 + 2*w^2 + 12*w + 19]', '[5277, 5277, 3*w^2 - 2*w - 15]', '[5277, 5277, -7*w^3 + 17*w^2 + 33*w - 13]', '[5277, 5277, -w^3 + 2*w^2 + 4*w + 9]', '[5277, 5277, 5*w^3 - 9*w^2 - 24*w + 7]', '[5279, 5279, 6*w^3 - 16*w^2 - 26*w + 11]', '[5279, 5279, -2*w^3 + 8*w^2 + 6*w - 25]', '[5281, 5281, -6*w^3 + 12*w^2 + 31*w + 1]', '[5281, 5281, -5*w^3 + 10*w^2 + 24*w + 2]', '[5287, 5287, 6*w^3 - 17*w^2 - 23*w + 14]', '[5287, 5287, -11*w^3 + 31*w^2 + 33*w - 16]', '[5287, 5287, 6*w^3 - 3*w^2 - 52*w - 52]', '[5287, 5287, 2*w^3 - 9*w^2 - 3*w + 29]', '[5287, 5287, -w^3 + 6*w^2 + 3*w - 10]', '[5287, 5287, -w^3 + 9*w + 17]', '[5287, 5287, 3*w^3 - 8*w^2 - 11*w - 1]', '[5287, 5287, -9*w^3 + 22*w^2 + 43*w - 28]', '[5303, 5303, 3*w^3 - 3*w^2 - 19*w - 16]', '[5303, 5303, -8*w^3 + 19*w^2 + 36*w - 10]', '[5307, 5307, 4*w^3 - 12*w^2 - 18*w + 23]', '[5307, 5307, -6*w^3 + 8*w^2 + 38*w + 27]', '[5307, 5307, 11*w^3 - 26*w^2 - 56*w + 32]', '[5307, 5307, -6*w^3 + 13*w^2 + 28*w - 2]', '[5307, 5307, 5*w^3 - 9*w^2 - 27*w - 6]', '[5307, 5307, -2*w^3 + 8*w^2 + 11*w - 9]', '[5307, 5307, w^3 - 2*w^2 - w - 4]', '[5307, 5307, -6*w^3 + 16*w^2 + 28*w - 15]', '[5321, 5321, 19*w^3 - 41*w^2 - 102*w + 44]', '[5321, 5321, -4*w^3 + 12*w^2 + 17*w - 11]', '[5321, 5321, -12*w^3 + 30*w^2 + 53*w - 25]', '[5321, 5321, 7*w^3 - 17*w^2 - 30*w + 5]', '[5321, 5321, -2*w^3 + w^2 + 12*w - 4]', '[5321, 5321, -6*w^3 + 13*w^2 + 34*w - 7]', '[5321, 5321, w^3 - 2*w^2 - 2*w - 7]', '[5321, 5321, w^3 - 4*w^2 + 3*w + 4]', '[5331, 5331, 5*w^3 - 9*w^2 - 21*w + 12]', '[5331, 5331, 4*w^3 - 11*w^2 - 15*w + 19]', '[5331, 5331, -7*w^3 + 18*w^2 + 24*w - 15]', '[5331, 5331, -11*w^3 + 25*w^2 + 54*w - 35]', '[5347, 5347, 9*w^3 - 11*w^2 - 62*w - 37]', '[5347, 5347, 5*w^3 - 11*w^2 - 28*w + 5]', '[5347, 5347, -w^3 + 3*w^2 + 8*w - 8]', '[5347, 5347, -13*w^3 + 33*w^2 + 48*w - 16]', '[5353, 5353, 6*w^3 - 12*w^2 - 31*w + 8]', '[5353, 5353, -5*w^3 + 10*w^2 + 24*w - 7]', '[5373, 597, -10*w^3 + 7*w^2 + 80*w + 64]', '[5373, 597, w^3 + 3*w^2 - 14*w - 18]', '[5373, 597, -5*w^3 + 11*w^2 + 25*w + 2]', '[5373, 597, -7*w^3 + 9*w^2 + 47*w + 33]', '[5373, 1791, -5*w^3 + 7*w^2 + 31*w + 15]', '[5373, 1791, -2*w^3 - 3*w^2 + 26*w + 42]', '[5373, 1791, -w^3 + 3*w^2 - 2*w - 12]', '[5373, 1791, -8*w^3 + 17*w^2 + 39*w + 6]', '[5373, 5373, -2*w^3 - 3*w^2 + 24*w + 35]', '[5373, 5373, -6*w^3 + 16*w^2 + 22*w - 5]', '[5373, 5373, 4*w^3 - 2*w^2 - 37*w - 33]', '[5373, 5373, -9*w^3 + 25*w^2 + 31*w - 21]', '[5381, 5381, w^3 - 13*w - 2]', '[5381, 5381, w^3 - 13*w - 10]', '[5391, 1797, 5*w^3 - 11*w^2 - 21*w + 6]', '[5391, 1797, 5*w^3 - 13*w^2 - 19*w + 2]', '[5391, 1797, -6*w^3 + 11*w^2 + 34*w]', '[5391, 1797, -2*w^3 + w^2 + 16*w + 22]', '[5391, 5391, 3*w^3 - 5*w^2 - 15*w - 9]', '[5391, 5391, 5*w^3 - 11*w^2 - 20*w + 6]', '[5391, 5391, -7*w^3 + 13*w^2 + 40*w - 1]', '[5391, 5391, -6*w^3 + 13*w^2 + 30*w - 1]', '[5392, 674, -6*w^3 + 12*w^2 + 28*w + 4]', '[5392, 674, -8*w^3 + 16*w^2 + 42*w + 2]', '[5399, 5399, 6*w^3 - 13*w^2 - 29*w + 7]', '[5399, 5399, 4*w^3 - 7*w^2 - 21*w - 2]', '[5409, 1803, w^3 - 2*w^2 - 2*w - 9]', '[5409, 1803, -3*w^3 + 7*w^2 + 18*w - 14]', '[5409, 1803, 4*w^3 - 10*w^2 - 18*w + 21]', '[5409, 1803, -6*w^3 + 10*w^2 + 36*w + 7]', '[5409, 1803, -6*w^3 + 14*w^2 + 24*w - 7]', '[5409, 1803, 2*w^2 - 2*w + 3]', '[5409, 1803, -7*w^3 + 17*w^2 + 32*w - 22]', '[5409, 1803, -5*w^3 + 14*w^2 + 18*w - 21]', '[5409, 5409, -4*w^3 + 9*w^2 + 21*w]', '[5409, 5409, 3*w^3 - 5*w^2 - 23*w + 7]', '[5409, 5409, 9*w^3 - 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4]', '[5459, 5459, -7*w^3 + 14*w^2 + 39*w - 2]', '[5459, 5459, -3*w^3 + 6*w^2 + 11*w + 2]', '[5459, 5459, 2*w^3 - 3*w^2 - 9*w - 7]', '[5469, 5469, 2*w^3 - 2*w^2 - 13*w]', '[5469, 5469, -8*w^3 + 15*w^2 + 49*w + 1]', '[5469, 5469, -6*w^3 + 14*w^2 + 21*w - 12]', '[5469, 5469, 2*w^3 - 5*w^2 - w]', '[5469, 5469, -9*w^3 + 16*w^2 + 54*w - 1]', '[5469, 5469, 5*w^3 - 12*w^2 - 22*w + 17]', '[5469, 5469, 6*w^3 - 14*w^2 - 33*w + 20]', '[5469, 5469, 3*w^3 - 8*w^2 - 18*w + 3]', '[5483, 5483, 4*w^3 - 9*w^2 - 21*w - 2]', '[5483, 5483, w^2 + w - 13]', '[5503, 5503, -4*w^3 + 9*w^2 + 22*w - 2]', '[5503, 5503, 8*w^3 - 15*w^2 - 47*w - 1]', '[5503, 5503, -2*w^3 + 7*w^2 + 4*w - 25]', '[5503, 5503, -w^3 + 3*w^2 + 7*w - 10]', '[5521, 5521, 5*w^3 - 11*w^2 - 19*w + 11]', '[5521, 5521, -8*w^3 + 15*w^2 + 46*w - 7]', '[5539, 5539, 4*w^3 - 13*w^2 - 10*w + 11]', '[5539, 5539, -6*w^3 + 14*w^2 + 28*w - 5]', '[5539, 5539, 2*w^3 - 2*w^2 - 12*w - 13]', '[5539, 5539, w^3 - 7*w^2 + 5*w + 29]', '[5541, 5541, -8*w^3 + 16*w^2 + 45*w - 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47]', '[5919, 5919, w^3 - 4*w^2 + 5*w]', '[5919, 5919, -w^3 + 7*w^2 + 11*w - 9]', '[5919, 5919, w^2 + 7*w + 3]', '[5927, 5927, -5*w^3 + 8*w^2 + 34*w + 7]', '[5927, 5927, -7*w^2 + 14*w + 40]', '[5931, 1977, -5*w^3 + 10*w^2 + 22*w + 1]', '[5931, 1977, -w^3 + 4*w^2 + 6*w + 3]', '[5931, 1977, 8*w^3 - 16*w^2 - 43*w + 2]', '[5931, 1977, -6*w^3 + 14*w^2 + 31*w - 24]', '[5931, 5931, -4*w^3 + 7*w^2 + 26*w + 12]', '[5931, 5931, -2*w^3 + 7*w^2 + 3*w]', '[5931, 5931, 3*w^2 - 7*w - 23]', '[5931, 5931, w^3 - 3*w^2 + w - 8]', '[5937, 5937, 6*w^3 - 15*w^2 - 26*w + 20]', '[5937, 5937, 5*w^3 - 8*w^2 - 20*w + 12]', '[5937, 5937, -11*w^3 + 25*w^2 + 53*w - 37]', '[5937, 5937, -4*w^3 + 4*w^2 + 32*w + 15]', '[5968, 746, 4*w^3 - 10*w^2 - 20*w + 4]', '[5968, 746, -2*w^3 + 4*w^2 + 16*w - 4]', '[5968, 746, -4*w^3 + 8*w^2 + 26*w - 2]', '[5968, 746, -2*w^3 + 6*w^2 + 10*w - 16]', '[5979, 5979, -10*w^3 + 23*w^2 + 49*w - 32]', '[5979, 5979, -9*w^3 + 18*w^2 + 49*w - 16]', '[5979, 5979, 5*w^3 - 10*w^2 - 21*w + 12]', '[5979, 5979, 2*w^3 - w^2 - 11*w + 3]', '[5981, 5981, 2*w^3 - 5*w^2 - 16*w + 5]', '[5981, 5981, -5*w^3 + 7*w^2 + 34*w + 8]', '[5981, 5981, 5*w^3 - 13*w^2 - 16*w + 13]', '[5981, 5981, -7*w^3 + 15*w^2 + 41*w - 11]', '[5989, 5989, 8*w^3 - 11*w^2 - 53*w - 29]', '[5989, 5989, 2*w^3 + 3*w^2 - 24*w - 43]', '[5989, 5989, -w^3 + 4*w^2 + 5*w - 13]', '[5989, 5989, 5*w^3 - 12*w^2 - 25*w + 7]', '[6007, 6007, -9*w^3 + 25*w^2 + 31*w - 22]', '[6007, 6007, 2*w^3 + 3*w^2 - 24*w - 34]', '[6009, 6009, 3*w^3 - 8*w^2 - 6*w + 12]', '[6009, 6009, -20*w^3 + 45*w^2 + 103*w - 53]', '[6009, 6009, 9*w^3 - 19*w^2 - 37*w + 18]', '[6009, 6009, -w^3 + 4*w^2 - 2*w - 15]', '[6009, 6009, w^3 + 3*w^2 - 17*w - 29]', '[6009, 6009, -15*w^3 + 33*w^2 + 76*w - 37]', '[6009, 6009, w^3 - 3*w^2 - 11*w + 1]', '[6009, 6009, 9*w^3 - 20*w^2 - 42*w + 21]', '[6057, 2019, 5*w^3 - 13*w^2 - 22*w + 5]', '[6057, 2019, w^3 - w^2 - 3]', '[6057, 2019, 9*w^3 - 19*w^2 - 50*w + 12]', '[6057, 2019, -w^3 + 5*w^2 + 2*w - 22]', '[6057, 6057, 7*w^3 - 15*w^2 - 35*w + 7]', '[6057, 6057, -5*w^3 + 13*w^2 + 24*w - 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22]', '[9987, 9987, -8*w^3 + 18*w^2 + 42*w - 13]', '[9987, 9987, 2*w^2 + 2*w - 9]', '[9987, 9987, 21*w^3 - 46*w^2 - 115*w + 44]', '[9993, 9993, 6*w^3 - 17*w^2 - 23*w + 27]', '[9993, 9993, -2*w^3 + 9*w^2 + 3*w - 16]', '[9993, 9993, 3*w^3 + 3*w^2 - 34*w - 39]', '[9993, 9993, -6*w^3 + 11*w^2 + 38*w - 13]', '[10000, 10, 10]', '[10000, 50, -4*w^3 + 10*w^2 + 24*w - 4]', '[10000, 50, -6*w^3 + 14*w^2 + 34*w - 20]'], 'label': '4.4.17069.1', 'narrow_class_no': 1, 'primes': ['[3, 3, w]', '[3, 3, w^3 - 2*w^2 - 6*w + 1]', '[9, 3, w^3 - 2*w^2 - 5*w + 1]', '[16, 2, 2]', '[17, 17, w^3 - w^2 - 8*w - 5]', '[17, 17, -2*w^3 + 4*w^2 + 11*w - 2]', '[17, 17, -w^3 + 3*w^2 + 2*w - 2]', '[17, 17, w^3 - 2*w^2 - 4*w + 1]', '[25, 5, w^3 - 3*w^2 - 3*w + 1]', '[25, 5, w^2 - 2*w - 7]', '[29, 29, w^3 - 2*w^2 - 6*w - 1]', '[29, 29, w - 2]', '[53, 53, w^3 - 3*w^2 - 4*w + 4]', '[53, 53, -w^3 + 3*w^2 + 4*w - 5]', '[61, 61, -w^3 + 2*w^2 + 7*w - 4]', '[61, 61, -4*w^3 + 11*w^2 + 14*w - 8]', '[101, 101, -w^3 + 2*w^2 + 7*w - 1]', '[103, 103, -w^3 + 3*w^2 + 2*w - 5]', '[103, 103, -w^3 + w^2 + 8*w + 2]', '[113, 113, w^3 - 3*w^2 - 3*w + 7]', '[113, 113, w^2 - 2*w - 1]', '[127, 127, w^3 - 2*w^2 - 4*w - 2]', '[127, 127, -2*w^3 + 4*w^2 + 11*w + 1]', '[131, 131, -3*w^3 + 7*w^2 + 14*w - 8]', '[131, 131, -w^2 + w + 8]', '[131, 131, 2*w^3 - 5*w^2 - 9*w + 1]', '[131, 131, -3*w^3 + 6*w^2 + 16*w + 1]', '[139, 139, -2*w^3 + 5*w^2 + 9*w - 2]', '[139, 139, -w^2 + w + 7]', '[157, 157, -2*w^3 + 5*w^2 + 7*w - 5]', '[157, 157, -2*w^3 + 3*w^2 + 13*w + 2]', '[157, 157, -2*w^3 + 5*w^2 + 6*w - 2]', '[157, 157, -3*w^3 + 5*w^2 + 19*w + 4]', '[169, 13, -2*w^3 + 4*w^2 + 10*w - 1]', '[173, 173, 3*w^3 - 8*w^2 - 10*w + 7]', '[173, 173, 2*w^3 - 2*w^2 - 15*w - 8]', '[179, 179, -3*w^2 + 6*w + 17]', '[179, 179, -2*w^3 + 3*w^2 + 12*w + 1]', '[179, 179, -3*w^3 + 7*w^2 + 13*w - 7]', '[179, 179, -2*w^3 + 3*w^2 + 14*w + 4]', '[191, 191, w^3 - 3*w^2 - w + 4]', '[191, 191, -2*w^3 + 3*w^2 + 14*w + 2]', '[199, 199, -w^3 + 8*w + 10]', '[199, 199, 5*w^3 - 15*w^2 - 14*w + 14]', '[211, 211, -w - 4]', '[211, 211, -w^3 + 2*w^2 + 6*w - 5]', '[211, 211, 2*w^3 - 3*w^2 - 12*w - 4]', '[211, 211, -3*w^3 + 7*w^2 + 13*w - 4]', '[257, 257, -3*w^3 + 8*w^2 + 10*w - 2]', '[257, 257, 2*w^3 - 2*w^2 - 16*w - 7]', '[263, 263, 3*w^3 - 6*w^2 - 17*w + 1]', '[263, 263, w^3 - 2*w^2 - 3*w - 1]', '[269, 269, 5*w^3 - 13*w^2 - 19*w + 7]', '[269, 269, -3*w^3 + 6*w^2 + 18*w - 1]', '[277, 277, w^3 - 4*w^2 - w + 5]', '[277, 277, -w^3 + 4*w^2 + w - 11]', '[283, 283, -w^3 + 5*w^2 - w - 14]', '[283, 283, 2*w^3 - 7*w^2 - 4*w + 10]', '[283, 283, -w^3 + w^2 + 9*w + 1]', '[283, 283, w^2 - 4*w - 5]', '[311, 311, -w^3 + w^2 + 9*w + 5]', '[311, 311, w^2 - 4*w - 1]', '[313, 313, -4*w^3 + 9*w^2 + 19*w - 10]', '[313, 313, -2*w^2 + 5*w + 11]', '[337, 337, -3*w^3 + 6*w^2 + 14*w + 2]', '[337, 337, -4*w^3 + 8*w^2 + 21*w + 1]', '[347, 347, -2*w^3 + 6*w^2 + 7*w - 10]', '[347, 347, -w^3 + 4*w^2 + 2*w - 7]', '[361, 19, -4*w^3 + 11*w^2 + 13*w - 10]', '[361, 19, -2*w^3 + 5*w^2 + 8*w - 10]', '[373, 373, 2*w^3 - 5*w^2 - 10*w + 2]', '[373, 373, -w^3 + 2*w^2 + 8*w - 2]', '[373, 373, -2*w^3 + 4*w^2 + 13*w - 1]', '[373, 373, -w^3 + 3*w^2 + 5*w - 8]', '[389, 389, -w^3 + 4*w^2 + 2*w - 10]', '[389, 389, -2*w^3 + 6*w^2 + 7*w - 7]', '[419, 419, -2*w^3 + 5*w^2 + 6*w - 1]', '[419, 419, -3*w^3 + 5*w^2 + 19*w + 5]', '[433, 433, w^2 - 4*w - 2]', '[433, 433, w^3 - w^2 - 9*w - 4]', '[439, 439, -w^3 + 4*w^2 + w - 2]', '[439, 439, w^3 - 4*w^2 - w + 14]', '[443, 443, -2*w^3 + 5*w^2 + 9*w + 1]', '[443, 443, -w^2 + w + 10]', '[467, 467, w^3 - w^2 - 8*w + 4]', '[467, 467, w^3 - 4*w^2 + 2]', '[491, 491, -4*w^3 + 12*w^2 + 10*w - 11]', '[491, 491, 2*w^3 - w^2 - 18*w - 11]', '[491, 491, 3*w^3 - 9*w^2 - 7*w + 11]', '[491, 491, 2*w^3 - 20*w - 19]', '[503, 503, w^3 - 3*w^2 - 4*w + 10]', '[503, 503, -w^3 + w^2 + 10*w - 2]', '[523, 523, -4*w^3 + 9*w^2 + 22*w - 7]', '[523, 523, w^3 - 3*w^2 - 7*w + 5]', '[529, 23, -2*w^3 + 4*w^2 + 10*w + 5]', '[529, 23, -2*w^3 + 4*w^2 + 10*w - 7]', '[547, 547, 2*w^3 - w^2 - 18*w - 14]', '[547, 547, 3*w^3 - 8*w^2 - 14*w + 8]', '[571, 571, 5*w^3 - 11*w^2 - 25*w + 5]', '[571, 571, -4*w^3 + 9*w^2 + 19*w - 11]', '[599, 599, -5*w^3 + 12*w^2 + 20*w - 4]', '[599, 599, 4*w^3 - 6*w^2 - 25*w - 11]', '[601, 601, -4*w^3 + 9*w^2 + 20*w - 5]', '[601, 601, w^3 - 9*w - 14]', '[601, 601, 3*w^3 - 8*w^2 - 11*w + 2]', '[601, 601, -2*w^3 + 3*w^2 + 14*w - 1]', '[641, 641, -2*w^3 + 3*w^2 + 15*w - 5]', '[641, 641, -4*w^3 + 8*w^2 + 23*w - 2]', '[647, 647, -3*w^3 + 8*w^2 + 13*w - 11]', '[647, 647, -w^3 + 4*w^2 + 3*w - 7]', '[659, 659, 3*w^3 - 7*w^2 - 14*w - 2]', '[659, 659, w^3 - w^2 - 6*w - 11]', '[673, 673, -3*w^3 + 7*w^2 + 11*w - 1]', '[673, 673, -4*w^3 + 7*w^2 + 24*w + 5]', '[677, 677, 5*w^3 - 12*w^2 - 21*w + 11]', '[677, 677, -2*w^3 + 6*w^2 + 5*w - 1]', '[677, 677, -2*w^3 + 6*w^2 + 8*w - 7]', '[677, 677, 2*w^3 - 6*w^2 - 8*w + 11]', '[719, 719, -2*w^3 + 6*w^2 + 10*w - 7]', '[719, 719, -4*w^3 + 10*w^2 + 20*w - 13]', '[727, 727, 3*w^3 - 10*w^2 - 8*w + 10]', '[727, 727, 3*w^3 - 8*w^2 - 13*w + 10]', '[727, 727, 2*w^3 - 8*w^2 - 3*w + 23]', '[727, 727, -w^3 + 4*w^2 + 3*w - 8]', '[751, 751, -7*w^3 + 18*w^2 + 25*w - 7]', '[751, 751, w^3 - 7*w^2 + 5*w + 26]', '[757, 757, -4*w^3 + 9*w^2 + 18*w - 7]', '[757, 757, -3*w^3 + 5*w^2 + 17*w + 1]', '[797, 797, 2*w^2 - 4*w - 5]', '[797, 797, 2*w^3 - 6*w^2 - 6*w + 11]', '[823, 823, -2*w^3 + 2*w^2 + 15*w + 14]', '[823, 823, -3*w^3 + 8*w^2 + 10*w - 1]', '[829, 829, -6*w^3 + 16*w^2 + 22*w - 7]', '[829, 829, 5*w^3 - 13*w^2 - 20*w + 8]', '[829, 829, -w^3 + 7*w + 4]', '[829, 829, -5*w^3 + 12*w^2 + 23*w - 14]', '[841, 29, -3*w^3 + 6*w^2 + 15*w - 2]', '[859, 859, -4*w^3 + 7*w^2 + 24*w - 1]', '[859, 859, -5*w^3 + 15*w^2 + 14*w - 13]', '[881, 881, 3*w^3 - 7*w^2 - 16*w + 4]', '[881, 881, -w^3 + 3*w^2 + 6*w - 7]', '[883, 883, -2*w^3 + 3*w^2 + 12*w + 10]', '[883, 883, -3*w^3 + 7*w^2 + 13*w + 2]', '[887, 887, 4*w^3 - 11*w^2 - 11*w + 11]', '[887, 887, 2*w^3 - 7*w^2 - 3*w + 7]', '[887, 887, 4*w^3 - 5*w^2 - 29*w - 10]', '[887, 887, 3*w^2 - 7*w - 16]', '[907, 907, -w^3 + 3*w^2 + 8*w - 5]', '[907, 907, -5*w^3 + 11*w^2 + 28*w - 8]', '[911, 911, -4*w^3 + 10*w^2 + 18*w - 17]', '[911, 911, 2*w^2 - 2*w - 1]', '[919, 919, 4*w^3 - 7*w^2 - 25*w - 4]', '[919, 919, 2*w^3 - 5*w^2 - 5*w + 1]', '[937, 937, -w^3 + 3*w^2 + w - 8]', '[937, 937, -2*w^3 + 3*w^2 + 14*w - 2]', '[953, 953, -2*w^3 + w^2 + 17*w + 19]', '[953, 953, 4*w^3 - 11*w^2 - 13*w + 4]', '[961, 31, 2*w^3 - 3*w^2 - 11*w - 8]', '[961, 31, w^3 - 4*w^2 + 2*w + 11]', '[971, 971, 2*w^2 - 5*w - 4]', '[971, 971, -w^3 + 4*w^2 - 11]', '[991, 991, -2*w^3 + 6*w^2 + 9*w - 8]', '[991, 991, -2*w^3 + 3*w^2 + 13*w - 1]', '[991, 991, 3*w^3 - 8*w^2 - 14*w + 11]', '[991, 991, -2*w^3 + 5*w^2 + 7*w - 8]', '[997, 997, -2*w^3 + 5*w^2 + 6*w + 1]', '[997, 997, -3*w^3 + 5*w^2 + 19*w + 7]', '[997, 997, -6*w^3 + 12*w^2 + 33*w - 4]', '[997, 997, 4*w^3 - 11*w^2 - 15*w + 11]']}
-
nf_fields • Show schema
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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [3, -4, -8, -1, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 17069, 'disc_rad': 1313, 'disc_sign': 1, 'frobs': [[2, [[4, 1]]], [3, [[2, 1], [1, 2]]], [5, [[2, 2]]], [7, [[4, 1]]], [11, [[4, 1]]], [13, [0]], [17, [[1, 4]]], [19, [[2, 2]]], [23, [[2, 2]]], [29, [[2, 1], [1, 2]]], [31, [[2, 2]]], [37, [[2, 2]]], [41, [[4, 1]]], [43, [[2, 2]]], [47, [[2, 2]]], [53, [[2, 1], [1, 2]]], [59, [[4, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [4, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 36.235341863986875, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.17069.1', 'local_algs': ['13.4.2.1', '101.2.0.1', '101.2.1.2'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [13, 101], 'rd': 11.4301523645, 'regulator': {'__RealLiteral__': 0, 'data': '8.83283066561', 'prec': 44}, 'res': {'gal': ['16,0,-156,0,161,0,-39,0,1'], 'sib': ['17,13,-12,-2,1', '16,0,-156,0,161,0,-39,0,1']}, 'subfield_mults': [1], 'subfields': ['-3.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a + 1 \\)', '\\( a^{3} - 2 a^{2} - 5 a - 1 \\)', '\\( a^{3} - 3 a^{2} - 4 a + 2 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}