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mf_newforms • Show schema
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{'Nk2': 900, 'analytic_conductor': 3.7213186710183956, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 4, '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': [36, 2, [19, 29], [1, 2]], 'cm_discs': [], 'conrey_index': 19, 'dim': 4, 'field_disc': 1521, 'field_disc_factorization': [[3, 2], [13, 2]], 'field_poly': [9, 3, 4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [-796, 12, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503805869686820, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 192, 'hecke_ring_index_factorization': [[2, 6], [3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '36.5.d.b', 'level': 36, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '12.5.d.a', 'nf_label': '4.0.1521.1', 'prim_orbit_index': 2, 'qexp_display': 'q+(-2+\\beta _{1})q^{2}+(-4-2\\beta _{1}+\\beta _{3})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '4.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '36.5.d', 'trace_display': [-6, 0, -24, 0], 'trace_hash': 2205539815910531842, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.084', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.743', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.199', 'prec': 17}, {'__RealLiteral__': 0, 'data': '72.573', 'prec': 20}, {'__RealLiteral__': 0, 'data': '67.752', 'prec': 20}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [-2, 1, 0, 0], [0, 0, 0, 0], [-4, -2, 0, 1], [-4, -4, 2, 2], [0, 0, 0, 0], [-5, 10, 3, 1], [4, -8, 4, -2], [0, 0, 0, 0], [-36, -14, 0, -8], [-9, 18, 7, 1], [0, 0, 0, 0], [86, -24, 12, 12], [-144, -12, -8, 4], [0, 0, 0, 0], [24, 8, -24, -16], [146, 8, -4, -4], [0, 0, 0, 0], [-45, 90, 3, 21], [344, -4, -32, -14], [0, 0, 0, 0], [-272, -20, -24, 4], [-12, 24, -28, 20], [0, 0, 0, 0], [219, 48, -24, -24], [-436, 26, 0, -48], [0, 0, 0, 0], [448, -152, 48, 4], [-208, -28, 14, 14], [0, 0, 0, 0], [77, -154, 21, -49], [640, 112, 32, 56], [0, 0, 0, 0], [-204, 166, 0, 16], [78, -156, 62, -70], [0, 0, 0, 0], [-1078, -48, 24, 24], [-1104, -132, 72, 84], [0, 0, 0, 0], [200, 432, 72, 60], [-166, 56, -28, -28], [0, 0, 0, 0], [145, -290, -159, 7], [1056, -264, 112, 28], [0, 0, 0, 0], [-64, -64, 192, 80], [-66, 132, -50, 58], [0, 0, 0, 0], [-191, 96, -48, -48], [90, 339, 0, 96], [0, 0, 0, 0], [1624, -244, -192, 26], [-1312, 68, -34, -34], [0, 0, 0, 0], [86, -172, 150, -118], [-624, 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86808, 22852, 10276], [-73414, 98160, -49080, -49080], [-175942, 37880, -18940, -18940], [-1231, 2462, 24417, -11593], [-21144, 42288, -48984, 35064], [972194, 50304, -25152, -25152], [-621682, -46048, 23024, 23024], [-106137, 212274, 14007, 46065], [-114114, 228228, 12734, 50690], [-30755, 61510, 4173, 13291], [-37896, 75792, 73816, -17960], [-73533, 147066, 18219, 27657], [-633718, -76168, 38084, 38084], [153938, -50880, 25440, 25440], [1159628, 2588, -1294, -1294], [84123, -168246, -29093, -27515], [-663478, -137512, 68756, 68756], [-20071, 40142, -50991, 35531], [-64893, 129786, 59763, 2565], [82058, 175736, -87868, -87868], [177486, -354972, -91250, -43118], [85737, -171474, -54639, -15549], [-1125118, -960, 480, 480]], 'char_orbit_index': 4, 'field_poly': [9, 3, 4, -1, 1], 'hecke_orbit_code': 4503805869686820, 'hecke_ring_character_values': [[19, [-1, 0, 0, 0]], [29, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 4, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-8, 2, 0, 1], [-9, -2, 1, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 2, 0, 0], [1, 8, -4, 2], [8, -4, 4, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '36.5.d.b', 'level': 36, 'maxp': 997, 'weight': 5}
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mf_newspaces • Show schema
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{'Nk2': 900, 'analytic_conductor': 3.7213186710183956, 'char_conductor': 4, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [36, 2, [19, 29], [1, 2]], 'conrey_index': 19, 'cusp_dim': 20, 'dim': 9, 'eis_dim': 8, 'eis_new_dim': 2, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 206242316324, 'hecke_orbit_dims': [1, 4, 4], 'label': '36.5.d', 'level': 36, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 28, 'mf_new_dim': 11, 'num_forms': 3, 'prim_orbit_index': 2, 'relative_dim': 9, 'sturm_bound': 30, 'trace_bound': 2, 'trace_display': [-2, 0, -10, 0], 'traces': [9, -2, 0, -12, -10, 0, 0, 64, 0, 108, 0, 0, 114, -600, 0, -624, 278, 0, 0, 1592, 0, 1176, 0, 0, -165, -2644, 0, -2544, -970, 0, 0, 3808, 0, 3156, 0, 0, 642, -4680, 0, 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-1149412, 0, -206424, 4445760, 0, 0, 13824, 0, 2989932, 0, 0, -2989050, -3629784, 0, 697536, -1027690, 0, 0, 3073544, 0, 395784, 0, 0, 3432306, 6816, 0, -4117440, 4218326, 0, 0, -1356096, 0, 1661664, 0, 0, 5225796, -2664792, 0, -3798144, -2625418, 0, 0, 1307136, 0, -2943408, 0, 0, 4700361, -737768, 0, 1922760, 2355436, 0, 0, 537664, 0, -2244648, 0, 0, -3974592, -2932056, 0, -1764576, -983338, 0, 0, 921272, 0, 3723240, 0, 0, -5035500, 64552, 0, 829152, -3017472, 0, 0, 2093952, 0, 3238272, 0, 0, -10450110, 2370408, 0, 2132736], 'weight': 5, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 29130
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '36.5.d.b', 'source_level': 36, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '12.5.d.a', 'target_level': 12, 'twist_class_label': '12.5.d.a', 'twist_class_level': 12, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 5}
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id: 29131
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '36.5.d.b', 'source_level': 36, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '12.5.d.a', 'target_level': 12, 'twist_class_label': '12.5.d.a', 'twist_class_level': 12, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 5}
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id: 29132
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '36.5.d.b', 'source_level': 36, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '36.5.d.b', 'target_level': 36, 'twist_class_label': '12.5.d.a', 'twist_class_level': 12, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 5}
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id: 29133
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '36.5.d.b', 'source_level': 36, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '36.5.d.b', 'target_level': 36, 'twist_class_label': '12.5.d.a', 'twist_class_level': 12, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 5}
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id: 29134
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '36.5.d.b', 'source_level': 36, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '192.5.g.d', 'target_level': 192, 'twist_class_label': '12.5.d.a', 'twist_class_level': 12, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 5}
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id: 29135
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '36.5.d.b', 'source_level': 36, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '192.5.g.d', 'target_level': 192, 'twist_class_label': '12.5.d.a', 'twist_class_level': 12, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 5}
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id: 29136
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '36.5.d.b', 'source_level': 36, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '300.5.c.a', 'target_level': 300, 'twist_class_label': '12.5.d.a', 'twist_class_level': 12, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 5}
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id: 29137
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '36.5.d.b', 'source_level': 36, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '300.5.c.a', 'target_level': 300, 'twist_class_label': '12.5.d.a', 'twist_class_level': 12, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 5}
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id: 29138
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '36.5.d.b', 'source_level': 36, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '300.5.f.a', 'target_level': 300, 'twist_class_label': '12.5.d.a', 'twist_class_level': 12, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 5}
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id: 29139
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '36.5.d.b', 'source_level': 36, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '300.5.f.a', 'target_level': 300, 'twist_class_label': '12.5.d.a', 'twist_class_level': 12, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 5}
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id: 29140
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '36.5.d.b', 'source_level': 36, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '576.5.g.m', 'target_level': 576, 'twist_class_label': '12.5.d.a', 'twist_class_level': 12, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 5}
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id: 29141
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '36.5.d.b', 'source_level': 36, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '576.5.g.m', 'target_level': 576, 'twist_class_label': '12.5.d.a', 'twist_class_level': 12, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 5}
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id: 29142
{'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '36.5.d.b', 'source_level': 36, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '768.5.b.g', 'target_level': 768, 'twist_class_label': '12.5.d.a', 'twist_class_level': 12, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 5}
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id: 29143
{'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '36.5.d.b', 'source_level': 36, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '768.5.b.g', 'target_level': 768, 'twist_class_label': '12.5.d.a', 'twist_class_level': 12, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 5}
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mf_hecke_charpolys • Show schema
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id: 128525
{'charpoly_factorization': [[[256, 96, 28, 6, 1], 1]], 'hecke_orbit_code': 4503805869686820, 'p': 2}
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id: 128526
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503805869686820, 'p': 3}
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id: 128527
{'charpoly_factorization': [[[-796, 12, 1], 2]], 'hecke_orbit_code': 4503805869686820, 'p': 5}
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id: 128528
{'charpoly_factorization': [[[5992704, 0, 5088, 0, 1], 1]], 'hecke_orbit_code': 4503805869686820, 'p': 7}
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id: 128529
{'charpoly_factorization': [[[77158656, 0, 22368, 0, 1], 1]], 'hecke_orbit_code': 4503805869686820, 'p': 11}
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id: 128530
{'charpoly_factorization': [[[-24476, -148, 1], 2]], 'hecke_orbit_code': 4503805869686820, 'p': 13}
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id: 128531
{'charpoly_factorization': [[[19172, -300, 1], 2]], 'hecke_orbit_code': 4503805869686820, 'p': 17}
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id: 128532
{'charpoly_factorization': [[[283855104, 0, 325728, 0, 1], 1]], 'hecke_orbit_code': 4503805869686820, 'p': 19}
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id: 128533
{'charpoly_factorization': [[[44930433024, 0, 463872, 0, 1], 1]], 'hecke_orbit_code': 4503805869686820, 'p': 23}
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id: 128534
{'charpoly_factorization': [[[8516, 444, 1], 2]], 'hecke_orbit_code': 4503805869686820, 'p': 29}
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id: 128535
{'charpoly_factorization': [[[310721515776, 0, 1604064, 0, 1], 1]], 'hecke_orbit_code': 4503805869686820, 'p': 31}
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id: 128536
{'charpoly_factorization': [[[1094596, 2204, 1], 2]], 'hecke_orbit_code': 4503805869686820, 'p': 37}
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id: 128537
{'charpoly_factorization': [[[-144028, 276, 1], 2]], 'hecke_orbit_code': 4503805869686820, 'p': 41}
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id: 128538
{'charpoly_factorization': [[[4698628487424, 0, 10081632, 0, 1], 1]], 'hecke_orbit_code': 4503805869686820, 'p': 43}
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id: 128539
{'charpoly_factorization': [[[1723191791616, 0, 2665344, 0, 1], 1]], 'hecke_orbit_code': 4503805869686820, 'p': 47}
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id: 128540
{'charpoly_factorization': [[[1392836, 2556, 1], 2]], 'hecke_orbit_code': 4503805869686820, 'p': 53}
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id: 128541
{'charpoly_factorization': [[[60549065443584, 0, 15747168, 0, 1], 1]], 'hecke_orbit_code': 4503805869686820, 'p': 59}
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id: 128542
{'charpoly_factorization': [[[-10861436, -2116, 1], 2]], 'hecke_orbit_code': 4503805869686820, 'p': 61}
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id: 128543
{'charpoly_factorization': [[[3924392696064, 0, 27347808, 0, 1], 1]], 'hecke_orbit_code': 4503805869686820, 'p': 67}
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id: 128544
{'charpoly_factorization': [[[10870367256576, 0, 22519296, 0, 1], 1]], 'hecke_orbit_code': 4503805869686820, 'p': 71}
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id: 128545
{'charpoly_factorization': [[[-53102972, -4420, 1], 2]], 'hecke_orbit_code': 4503805869686820, 'p': 73}
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id: 128546
{'charpoly_factorization': [[[783891587748096, 0, 69664224, 0, 1], 1]], 'hecke_orbit_code': 4503805869686820, 'p': 79}
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id: 128547
{'charpoly_factorization': [[[8721674169129216, 0, 188978016, 0, 1], 1]], 'hecke_orbit_code': 4503805869686820, 'p': 83}
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id: 128548
{'charpoly_factorization': [[[7350788, -12540, 1], 2]], 'hecke_orbit_code': 4503805869686820, 'p': 89}
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id: 128549
{'charpoly_factorization': [[[-30177788, -11524, 1], 2]], 'hecke_orbit_code': 4503805869686820, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 2, 'label': '36.5.d.b', 'level': 36, 'portrait': 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', 'weight': 5}
-
mf_hecke_traces • Show schema
Hide schema
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id: 84283000
{'hecke_orbit_code': 4503805869686820, 'n': 1, 'trace_an': 4}
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id: 84283001
{'hecke_orbit_code': 4503805869686820, 'n': 2, 'trace_an': -6}
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id: 84283002
{'hecke_orbit_code': 4503805869686820, 'n': 3, 'trace_an': 0}
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id: 84283003
{'hecke_orbit_code': 4503805869686820, 'n': 4, 'trace_an': -20}
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id: 84283004
{'hecke_orbit_code': 4503805869686820, 'n': 5, 'trace_an': -24}
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id: 84283005
{'hecke_orbit_code': 4503805869686820, 'n': 6, 'trace_an': 0}
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id: 84283006
{'hecke_orbit_code': 4503805869686820, 'n': 7, 'trace_an': 0}
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id: 84283007
{'hecke_orbit_code': 4503805869686820, 'n': 8, 'trace_an': 0}
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id: 84283008
{'hecke_orbit_code': 4503805869686820, 'n': 9, 'trace_an': 0}
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id: 84283009
{'hecke_orbit_code': 4503805869686820, 'n': 10, 'trace_an': -172}
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id: 84283010
{'hecke_orbit_code': 4503805869686820, 'n': 11, 'trace_an': 0}
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id: 84283011
{'hecke_orbit_code': 4503805869686820, 'n': 12, 'trace_an': 0}
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id: 84283012
{'hecke_orbit_code': 4503805869686820, 'n': 13, 'trace_an': 296}
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id: 84283013
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id: 84283990
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id: 84283995
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id: 84283996
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id: 84283998
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id: 84283999
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