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mf_newforms • Show schema
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{'Nk2': 1701, 'analytic_conductor': 5.149876996409612, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [189, 2, [29, 136], [2, 1]], 'cm_discs': [-3], 'conrey_index': 55, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503805836132541, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3], [1, 1, 7, 2, -1, 2, 0], [1, 1, 21, 3, 1, 2, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '189.3.d.b', 'level': 189, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'minimal_twist': '189.3.d.b', 'nf_label': '2.0.3.1', 'prim_orbit_index': 2, 'qexp_display': 'q-4 q^{4}+(\\beta+6)q^{7}+(10\\beta-5)q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '2.2.1.d2', 'self_twist_discs': [-3], 'self_twist_type': 1, 'space_label': '189.3.d', 'trace_display': [0, 0, 0, 13], 'trace_hash': 2152690351522832598, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.785', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.071', 'prec': 17}, {'__RealLiteral__': 0, 'data': '20.804', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.430', 'prec': 17}, {'__RealLiteral__': 0, 'data': '270.948', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.763', 'prec': 17}, 'traces': [2, 0, 0, -8, 0, 0, 13, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 50, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, 0, -94, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 71, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, -218, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 262, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -135, 0, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, 0, 428, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 0, -242, 0, 0, 0, 0, 0, 292, 0, 0, 0, 0, 0, -189, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 376, 0, 0, -118, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 598, 0, 0, 0, 0, 0, -1012, 0, 0, -176, 0, 0, 325, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -286, 0, 0, -284, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 506, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1890, 0, 0, 0, 0, 0, 0, 0, 0, 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0, 0, 0, 0, 0, 0, -864, 0, 0, 0, 0, 0, 0, 0, 0, 3454, 0, 0, 0, 0, 0, -886, 0, 0, 0, 0, 0, 1898, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2906, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1732, 0, 0, 0, 0, 0, -2350, 0, 0, 0, 0, 0, -2457, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5670, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1534, 0, 0, 0, 0, 0, -506, 0, 0, 0, 0, 0, -621, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7560, 0, 0, -3478, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 3, 'weight_parity': -1}
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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0], [0, 0], [0, 0], [-4, 0], [0, 0], [0, 0], [6, 1], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-5, 10], [0, 0], [0, 0], [16, 0], [0, 0], [0, 0], [-7, 14], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [25, 0], [0, 0], [0, 0], [-24, -4], [0, 0], [0, 0], [8, -16], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-47, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [22, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [29, 13], [0, 0], [0, 0], [20, -40], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-3, 6], [0, 0], [0, 0], [-64, 0], [0, 0], [0, 0], [-109, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [21, -42], [0, 0], [0, 0], [28, -56], [0, 0], [0, 0], [131, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-100, 65], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [19, -38], [0, 0], [0, 0], [-100, 0]], 'ap': [[0, 0], [0, 0], [0, 0], [6, 1], [0, 0], [-5, 10], [0, 0], [-7, 14], [0, 0], [0, 0], [8, -16], [-47, 0], [0, 0], [22, 0], [0, 0], [0, 0], [0, 0], [-3, 6], [-109, 0], [0, 0], [21, -42], [131, 0], [0, 0], [0, 0], [19, -38], [0, 0], [-39, 78], [0, 0], [214, 0], [0, 0], [146, 0], [0, 0], [0, 0], [-23, 46], [0, 0], [-59, 0], [56, -112], [299, 0], [0, 0], [0, 0], [0, 0], [35, -70], [0, 0], [-143, 0], [0, 0], [55, -110], [253, 0], [-56, 112], [0, 0], [88, -176], [0, 0], [0, 0], [85, -170], [0, 0], [0, 0], [0, 0], [0, 0], [87, -174], [122, 0], [0, 0], [-64, 128], [0, 0], [-96, 192], [0, 0], [35, -70], [0, 0], [661, 0], [649, 0], [0, 0], [37, -74], [0, 0], [0, 0], [-105, 210], [-577, 0], [-83, 0], [0, 0], [0, 0], [136, -272], [0, 0], [-155, 310], [0, 0], [-481, 0], [0, 0], [-16, 32], [168, -336], [0, 0], [0, 0], [814, 0], [0, 0], [-397, 0], [0, 0], [0, 0], [349, 0], [0, 0], [-26, 0], [0, 0], [0, 0], [0, 0], [-129, 258], [-241, 0], [-1093, 0], [0, 0], [0, 0], [0, 0], [-181, 0], [-99, 198], [0, 0], [0, 0], [0, 0], [-208, 416], [-49, 98], [983, 0], [0, 0], [-153, 306], [587, 0], [0, 0], [-240, 480], [0, 0], [0, 0], [0, 0], [147, -294], [-23, 0], [0, 0], [0, 0], [80, -160], [0, 0], [-1391, 0], [0, 0], [264, -528], [-200, 400], [-1222, 0], [0, 0], [-179, 0], [673, 0], [0, 0], [245, -490], [0, 0], [279, -558], [0, 0], [0, 0], [112, -224], [0, 0], [-1621, 0], [0, 0], [-77, 154], [0, 0], [315, -630], [0, 0], [143, -286], [0, 0], [1727, 0], [0, 0], [-443, 0], [0, 0], [1453, 0], [0, 0], [-866, 0], [0, 0], [61, -122], [0, 0], [0, 0], [0, 0], [-253, 0], [0, 0], [0, 0], [0, 0], [-1739, 0], [-120, 240]], 'char_orbit_index': 4, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 4503805836132541, 'hecke_ring_character_values': [[29, [1, 0]], [136, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 3], 'hecke_ring_inverse_numerators': [[1, 0], [1, 1]], 'hecke_ring_numerators': [[1, 0], [-1, 3]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '189.3.d.b', 'level': 189, 'maxp': 997, 'weight': 3}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 1701, 'analytic_conductor': 5.149876996409612, 'char_conductor': 7, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [189, 2, [29, 136], [2, 1]], 'conrey_index': 55, 'cusp_dim': 42, 'dim': 22, 'eis_dim': 12, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 206208762045, 'hecke_orbit_dims': [2, 2, 2, 8, 8], 'label': '189.3.d', 'level': 189, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'mf_dim': 54, 'mf_new_dim': 22, 'num_forms': 5, 'prim_orbit_index': 2, 'relative_dim': 22, 'sturm_bound': 72, 'trace_bound': 4, 'trace_display': [0, 0, 0, -5], 'traces': [22, 0, 0, 48, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, -44, 0, 0, -122, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, -130, 0, 0, 0, 0, 0, -196, 0, 0, 100, 0, 0, -131, 0, 0, 0, 0, 0, 0, 0, 0, -284, 0, 0, 0, 0, 0, 280, 0, 0, 218, 0, 0, 150, 0, 0, 0, 0, 0, 0, 0, 0, 890, 0, 0, 0, 0, 0, 468, 0, 0, -652, 0, 0, 345, 0, 0, 0, 0, 0, 0, 0, 0, -1572, 0, 0, 0, 0, 0, -1208, 0, 0, -88, 0, 0, -454, 0, 0, 0, 0, 0, 0, 0, 0, -330, 0, 0, 0, 0, 0, 1244, 0, 0, 672, 0, 0, -549, 0, 0, 0, 0, 0, 0, 0, 0, 2860, 0, 0, 0, 0, 0, -240, 0, 0, 434, 0, 0, 1390, 0, 0, 0, 0, 0, 0, 0, 0, -1114, 0, 0, 0, 0, 0, -644, 0, 0, -348, 0, 0, 841, 0, 0, 0, 0, 0, 0, 0, 0, 572, 0, 0, 0, 0, 0, 1656, 0, 0, -106, 0, 0, -2490, 0, 0, 0, 0, 0, 0, 0, 0, 804, 0, 0, 0, 0, 0, -1570, 0, 0, 1780, 0, 0, -258, 0, 0, 0, 0, 0, 0, 0, 0, -3656, 0, 0, 0, 0, 0, -2644, 0, 0, -2100, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, -522, 0, 0, 0, 0, 0, 712, 0, 0, -2640, 0, 0, -1495, 0, 0, 0, 0, 0, 0, 0, 0, 3228, 0, 0, 0, 0, 0, 3520, 0, 0, 656, 0, 0, 5574, 0, 0, 0, 0, 0, 0, 0, 0, -2498, 0, 0, 0, 0, 0, -2940, 0, 0, -416, 0, 0, 446, 0, 0, 0, 0, 0, 0, 0, 0, 2220, 0, 0, 0, 0, 0, 4272, 0, 0, 1624, 0, 0, -3488, 0, 0, 0, 0, 0, 0, 0, 0, 3986, 0, 0, 0, 0, 0, -1678, 0, 0, 6480, 0, 0, 1270, 0, 0, 0, 0, 0, 0, 0, 0, -6012, 0, 0, 0, 0, 0, -692, 0, 0, -968, 0, 0, 900, 0, 0, 0, 0, 0, 0, 0, 0, -1222, 0, 0, 0, 0, 0, 5558, 0, 0, -3248, 0, 0, -3198, 0, 0, 0, 0, 0, 0, 0, 0, 1420, 0, 0, 0, 0, 0, -2932, 0, 0, 948, 0, 0, 1132, 0, 0, 0, 0, 0, 0, 0, 0, -408, 0, 0, 0, 0, 0, -3178, 0, 0, -3088, 0, 0, 3111, 0, 0, 0, 0, 0, 0, 0, 0, 984, 0, 0, 0, 0, 0, -4356, 0, 0, -1224, 0, 0, -3638, 0, 0, 0, 0, 0, 0, 0, 0, 2684, 0, 0, 0, 0, 0, 1694, 0, 0, -5984, 0, 0, 2747, 0, 0, 0, 0, 0, 0, 0, 0, -3152, 0, 0, 0, 0, 0, -3972, 0, 0, -238, 0, 0, -5946, 0, 0, 0, 0, 0, 0, 0, 0, 848, 0, 0, 0, 0, 0, 5244, 0, 0, 5388, 0, 0, 693, 0, 0, 0, 0, 0, 0, 0, 0, 8832, 0, 0, 0, 0, 0, 1972, 0, 0, 6606, 0, 0, 1404, 0, 0, 0, 0, 0, 0, 0, 0, -4966, 0, 0, 0, 0, 0, 1538, 0, 0, 3592, 0, 0, 2879, 0, 0, 0, 0, 0, 0, 0, 0, -4544, 0, 0, 0, 0, 0, 5012, 0, 0, 3662, 0, 0, 1320, 0, 0, 0, 0, 0, 0, 0, 0, 844, 0, 0, 0, 0, 0, -5328, 0, 0, -3128, 0, 0, -4608, 0, 0, 0, 0, 0, 0, 0, 0, -4452, 0, 0, 0, 0, 0, -7584, 0, 0, -5362, 0, 0, -466, 0, 0, 0, 0, 0, 0, 0, 0, -1226, 0, 0, 0, 0, 0, -1882, 0, 0, -8924, 0, 0, -759, 0, 0, 0, 0, 0, 0, 0, 0, 2376, 0, 0, 0, 0, 0, 11220, 0, 0, -11004, 0, 0, 10884, 0, 0, 0, 0, 0, 0, 0, 0, 4252, 0, 0, 0, 0, 0, -214, 0, 0, 8364, 0, 0, -5925, 0, 0, 0, 0, 0, 0, 0, 0, 5740, 0, 0, 0, 0, 0, -4268, 0, 0, 8028, 0, 0, 4344, 0, 0, 0, 0, 0, 0, 0, 0, 2846, 0, 0, 0, 0, 0, -5592, 0, 0, 9988, 0, 0, -6153, 0, 0, 0, 0, 0, 0, 0, 0, -6444, 0, 0, 0, 0, 0, 8820, 0, 0, -4660, 0, 0, 2386, 0, 0, 0, 0, 0, 0, 0, 0, -8842, 0, 0, 0, 0, 0, 10334, 0, 0, 2232, 0, 0, 3290, 0, 0, 0, 0, 0, 0, 0, 0, -6720, 0, 0, 0, 0, 0, 4900, 0, 0, -2720, 0, 0, -8422, 0, 0, 0, 0, 0, 0, 0, 0, 9006, 0, 0, 0, 0, 0, -1764, 0, 0, 3688, 0, 0, 6288, 0, 0, 0, 0, 0, 0, 0, 0, 1400, 0, 0, 0, 0, 0, -18648, 0, 0, -730, 0, 0, -444, 0, 0, 0, 0, 0, 0, 0, 0, -3588, 0, 0, 0, 0, 0, -5850, 0, 0, -20148, 0, 0, -561, 0, 0, 0, 0, 0, 0, 0, 0, 9764, 0, 0, 0, 0, 0, 352, 0, 0, 1500, 0, 0, -11034, 0, 0, 0, 0, 0, 0, 0, 0, 4250, 0, 0, 0, 0, 0, 4946, 0, 0, 3712, 0, 0, 2540, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, -6616, 0, 0, 9110, 0, 0, 492, 0, 0, 0, 0, 0, 0, 0, 0, -4684, 0, 0, 0, 0, 0, 8042, 0, 0, -1116, 0, 0, 9135, 0, 0, 0, 0, 0, 0, 0, 0, -7704, 0, 0, 0, 0, 0, -5992, 0, 0, 3366, 0, 0, 4032, 0, 0, 0, 0, 0, 0, 0, 0, -13154, 0, 0, 0, 0, 0, -7174, 0, 0, 7068, 0, 0, -10437, 0, 0, 0, 0, 0, 0, 0, 0, 16228, 0, 0, 0, 0, 0, 4320, 0, 0, -6574, 0, 0, -7388, 0, 0, 0, 0, 0, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
Hide schema
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id: 154974
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '189.3.d.b', 'source_level': 189, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '189.3.d.b', 'target_level': 189, 'twist_class_label': '189.3.d.b', 'twist_class_level': 189, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 154975
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -3, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '189.3.d.b', 'source_level': 189, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '189.3.d.b', 'target_level': 189, 'twist_class_label': '189.3.d.b', 'twist_class_level': 189, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 154976
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '189.3.d.b', 'source_level': 189, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '189.3.d.b', 'target_level': 189, 'twist_class_label': '189.3.d.b', 'twist_class_level': 189, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 154977
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '189.3.d.b', 'source_level': 189, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '189.3.d.b', 'target_level': 189, 'twist_class_label': '189.3.d.b', 'twist_class_level': 189, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 473225
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805836132541, 'p': 2}
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id: 473226
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805836132541, 'p': 3}
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id: 473227
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805836132541, 'p': 5}
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id: 473228
{'charpoly_factorization': [[[49, -13, 1], 1]], 'hecke_orbit_code': 4503805836132541, 'p': 7}
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id: 473229
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805836132541, 'p': 11}
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id: 473230
{'charpoly_factorization': [[[675, 0, 1], 1]], 'hecke_orbit_code': 4503805836132541, 'p': 13}
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id: 473231
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805836132541, 'p': 17}
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id: 473232
{'charpoly_factorization': [[[1323, 0, 1], 1]], 'hecke_orbit_code': 4503805836132541, 'p': 19}
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id: 473233
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805836132541, 'p': 23}
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id: 473234
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805836132541, 'p': 29}
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id: 473235
{'charpoly_factorization': [[[1728, 0, 1], 1]], 'hecke_orbit_code': 4503805836132541, 'p': 31}
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id: 473236
{'charpoly_factorization': [[[47, 1], 2]], 'hecke_orbit_code': 4503805836132541, 'p': 37}
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id: 473237
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805836132541, 'p': 41}
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id: 473238
{'charpoly_factorization': [[[-22, 1], 2]], 'hecke_orbit_code': 4503805836132541, 'p': 43}
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id: 473239
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805836132541, 'p': 47}
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id: 473240
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805836132541, 'p': 53}
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id: 473241
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805836132541, 'p': 59}
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id: 473242
{'charpoly_factorization': [[[243, 0, 1], 1]], 'hecke_orbit_code': 4503805836132541, 'p': 61}
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id: 473243
{'charpoly_factorization': [[[109, 1], 2]], 'hecke_orbit_code': 4503805836132541, 'p': 67}
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id: 473244
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805836132541, 'p': 71}
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id: 473245
{'charpoly_factorization': [[[11907, 0, 1], 1]], 'hecke_orbit_code': 4503805836132541, 'p': 73}
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id: 473246
{'charpoly_factorization': [[[-131, 1], 2]], 'hecke_orbit_code': 4503805836132541, 'p': 79}
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id: 473247
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805836132541, 'p': 83}
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id: 473248
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805836132541, 'p': 89}
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id: 473249
{'charpoly_factorization': [[[9747, 0, 1], 1]], 'hecke_orbit_code': 4503805836132541, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 2, 'label': '189.3.d.b', 'level': 189, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 21652111
{'hecke_orbit_code': 4503805836132541, 'n': 1, 'trace_an': 2}
-
id: 21652112
{'hecke_orbit_code': 4503805836132541, 'n': 2, 'trace_an': 0}
-
id: 21652113
{'hecke_orbit_code': 4503805836132541, 'n': 3, 'trace_an': 0}
-
id: 21652114
{'hecke_orbit_code': 4503805836132541, 'n': 4, 'trace_an': -8}
-
id: 21652115
{'hecke_orbit_code': 4503805836132541, 'n': 5, 'trace_an': 0}
-
id: 21652116
{'hecke_orbit_code': 4503805836132541, 'n': 6, 'trace_an': 0}
-
id: 21652117
{'hecke_orbit_code': 4503805836132541, 'n': 7, 'trace_an': 13}
-
id: 21652118
{'hecke_orbit_code': 4503805836132541, 'n': 8, 'trace_an': 0}
-
id: 21652119
{'hecke_orbit_code': 4503805836132541, 'n': 9, 'trace_an': 0}
-
id: 21652120
{'hecke_orbit_code': 4503805836132541, 'n': 10, 'trace_an': 0}
-
id: 21652121
{'hecke_orbit_code': 4503805836132541, 'n': 11, 'trace_an': 0}
-
id: 21652122
{'hecke_orbit_code': 4503805836132541, 'n': 12, 'trace_an': 0}
-
id: 21652123
{'hecke_orbit_code': 4503805836132541, 'n': 13, 'trace_an': 0}
-
id: 21652124
{'hecke_orbit_code': 4503805836132541, 'n': 14, 'trace_an': 0}
-
id: 21652125
{'hecke_orbit_code': 4503805836132541, 'n': 15, 'trace_an': 0}
-
id: 21652126
{'hecke_orbit_code': 4503805836132541, 'n': 16, 'trace_an': 32}
-
id: 21652127
{'hecke_orbit_code': 4503805836132541, 'n': 17, 'trace_an': 0}
-
id: 21652128
{'hecke_orbit_code': 4503805836132541, 'n': 18, 'trace_an': 0}
-
id: 21652129
{'hecke_orbit_code': 4503805836132541, 'n': 19, 'trace_an': 0}
-
id: 21652130
{'hecke_orbit_code': 4503805836132541, 'n': 20, 'trace_an': 0}
-
id: 21652131
{'hecke_orbit_code': 4503805836132541, 'n': 21, 'trace_an': 0}
-
id: 21652132
{'hecke_orbit_code': 4503805836132541, 'n': 22, 'trace_an': 0}
-
id: 21652133
{'hecke_orbit_code': 4503805836132541, 'n': 23, 'trace_an': 0}
-
id: 21652134
{'hecke_orbit_code': 4503805836132541, 'n': 24, 'trace_an': 0}
-
id: 21652135
{'hecke_orbit_code': 4503805836132541, 'n': 25, 'trace_an': 50}
-
id: 21652136
{'hecke_orbit_code': 4503805836132541, 'n': 26, 'trace_an': 0}
-
id: 21652137
{'hecke_orbit_code': 4503805836132541, 'n': 27, 'trace_an': 0}
-
id: 21652138
{'hecke_orbit_code': 4503805836132541, 'n': 28, 'trace_an': -52}
-
id: 21652139
{'hecke_orbit_code': 4503805836132541, 'n': 29, 'trace_an': 0}
-
id: 21652140
{'hecke_orbit_code': 4503805836132541, 'n': 30, 'trace_an': 0}
-
id: 21652141
{'hecke_orbit_code': 4503805836132541, 'n': 31, 'trace_an': 0}
-
id: 21652142
{'hecke_orbit_code': 4503805836132541, 'n': 32, 'trace_an': 0}
-
id: 21652143
{'hecke_orbit_code': 4503805836132541, 'n': 33, 'trace_an': 0}
-
id: 21652144
{'hecke_orbit_code': 4503805836132541, 'n': 34, 'trace_an': 0}
-
id: 21652145
{'hecke_orbit_code': 4503805836132541, 'n': 35, 'trace_an': 0}
-
id: 21652146
{'hecke_orbit_code': 4503805836132541, 'n': 36, 'trace_an': 0}
-
id: 21652147
{'hecke_orbit_code': 4503805836132541, 'n': 37, 'trace_an': -94}
-
id: 21652148
{'hecke_orbit_code': 4503805836132541, 'n': 38, 'trace_an': 0}
-
id: 21652149
{'hecke_orbit_code': 4503805836132541, 'n': 39, 'trace_an': 0}
-
id: 21652150
{'hecke_orbit_code': 4503805836132541, 'n': 40, 'trace_an': 0}
-
id: 21652151
{'hecke_orbit_code': 4503805836132541, 'n': 41, 'trace_an': 0}
-
id: 21652152
{'hecke_orbit_code': 4503805836132541, 'n': 42, 'trace_an': 0}
-
id: 21652153
{'hecke_orbit_code': 4503805836132541, 'n': 43, 'trace_an': 44}
-
id: 21652154
{'hecke_orbit_code': 4503805836132541, 'n': 44, 'trace_an': 0}
-
id: 21652155
{'hecke_orbit_code': 4503805836132541, 'n': 45, 'trace_an': 0}
-
id: 21652156
{'hecke_orbit_code': 4503805836132541, 'n': 46, 'trace_an': 0}
-
id: 21652157
{'hecke_orbit_code': 4503805836132541, 'n': 47, 'trace_an': 0}
-
id: 21652158
{'hecke_orbit_code': 4503805836132541, 'n': 48, 'trace_an': 0}
-
id: 21652159
{'hecke_orbit_code': 4503805836132541, 'n': 49, 'trace_an': 71}
-
id: 21652160
{'hecke_orbit_code': 4503805836132541, 'n': 50, 'trace_an': 0}
-
id: 21652161
{'hecke_orbit_code': 4503805836132541, 'n': 51, 'trace_an': 0}
-
id: 21652162
{'hecke_orbit_code': 4503805836132541, 'n': 52, 'trace_an': 0}
-
id: 21652163
{'hecke_orbit_code': 4503805836132541, 'n': 53, 'trace_an': 0}
-
id: 21652164
{'hecke_orbit_code': 4503805836132541, 'n': 54, 'trace_an': 0}
-
id: 21652165
{'hecke_orbit_code': 4503805836132541, 'n': 55, 'trace_an': 0}
-
id: 21652166
{'hecke_orbit_code': 4503805836132541, 'n': 56, 'trace_an': 0}
-
id: 21652167
{'hecke_orbit_code': 4503805836132541, 'n': 57, 'trace_an': 0}
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