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{'Nk2': 32400, 'analytic_conductor': 119.47886776162474, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2025, 1, [326, 1702], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 7, 'field_disc': 2327542925397264, 'field_disc_factorization': [[2, 4], [3, 3], [9851, 1], [546932377, 1]], 'field_poly': [288, -1200, -460, 479, 74, -44, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-288, -1200, 460, 479, -74, -44, 2, 1]], [7, [-210450744, -68052735, 4867848, 650337, -26142, -1571, 22, 1]], [11, [-20019444768, -2234576400, 4473656, 5647316, 46184, -4166, -23, 1]]], 'hecke_orbit': 27, 'hecke_orbit_code': 117093590378743785, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 486, 'hecke_ring_index_factorization': [[2, 1], [3, 5]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2025.4.a.ba', 'level': 2025, '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': [3, 5], 'level_radical': 15, 'minimal_twist': '45.4.e.c', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+(5+\\beta _{2})q^{4}+(-3+\\beta _{5})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 7, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2025.4.a', 'trace_display': [-2, 0, 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mf_hecke_cc • Show schema
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'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [54, 56, 52, 60], 'ALdims_eis_new': [2, 4, 2, 4], 'ALdims_eis_old': [16, 14, 16, 14], 'ALdims_old': [144, 136, 137, 135], 'Nk2': 32400, 'analytic_conductor': 119.47886776162474, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2025, 1, [326, 1702], [1, 1]], 'conrey_index': 1, 'cusp_dim': 774, 'dim': 222, 'eis_dim': 72, 'eis_new_dim': 12, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 67110889, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 12, 12, 12, 12, 12, 12, 16, 16, 16], 'label': '2025.4.a', 'level': 2025, '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': [3, 5], 'level_radical': 15, 'mf_dim': 846, 'mf_new_dim': 234, 'num_forms': 39, 'plus_dim': 114, 'prim_orbit_index': 1, 'relative_dim': 222, 'sturm_bound': 1080, 'trace_bound': 14, 'trace_display': [0, 0, 0, -14], 'traces': [222, 0, 0, 862, 0, 0, -14, 0, 0, 0, 0, 0, 40, 0, 0, 3434, 0, 0, -26, 0, 0, -42, 0, 0, 0, 0, 0, -584, 0, 0, -78, 0, 0, 1018, 0, 0, -494, 0, 0, 0, 0, 0, 4, 0, 0, -460, 0, 0, 9460, 0, 0, -80, 0, 0, 0, 0, 0, -564, 0, 0, 1272, 0, 0, 11930, 0, 0, 1804, 0, 0, 0, 0, 0, 676, 0, 0, -2650, 0, 0, 1462, 0, 0, -390, 0, 0, 0, 0, 0, -1830, 0, 0, -1262, 0, 0, -188, 0, 0, 184, 0, 0, 0, 0, 0, 1246, 0, 0, -9496, 0, 0, -1538, 0, 0, -4244, 0, 0, 0, 0, 0, 618, 0, 0, 24054, 0, 0, -6100, 0, 0, 3052, 0, 0, 0, 0, 0, 3860, 0, 0, 7858, 0, 0, 8860, 0, 0, 15480, 0, 0, 0, 0, 0, -5096, 0, 0, 1362, 0, 0, -3720, 0, 0, 2488, 0, 0, 0, 0, 0, 856, 0, 0, 2612, 0, 0, 11818, 0, 0, -1466, 0, 0, 0, 0, 0, -6480, 0, 0, 1812, 0, 0, -1564, 0, 0, -9162, 0, 0, 0, 0, 0, 3514, 0, 0, 33138, 0, 0, -1124, 0, 0, 14520, 0, 0, 0, 0, 0, -7412, 0, 0, -9294, 0, 0, 19738, 0, 0, -5062, 0, 0, 0, 0, 0, -14990, 0, 0, 26396, 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mf_twists_cc • Show schema
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id: 48628678
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 3, 'source_hecke_orbit_code': 117093590378743785, 'source_is_minimal': False, 'source_label': '2025.4.a.ba.1.3', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 3, 'target_hecke_orbit_code': 117093590378743785, 'target_is_minimal': False, 'target_label': '2025.4.a.ba.1.3', 'target_level': 2025, 'twist_class_label': '45.4.e.c.16.5', 'twist_class_level': 45, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 48628679
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 3, 'source_hecke_orbit_code': 117093590378743785, 'source_is_minimal': False, 'source_label': '2025.4.a.ba.1.3', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 5, 'target_hecke_orbit_code': 121597190006114281, 'target_is_minimal': False, 'target_label': '2025.4.a.bb.1.5', 'target_level': 2025, 'twist_class_label': '45.4.e.c.16.5', 'twist_class_level': 45, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48628680
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 3, 'source_hecke_orbit_code': 117093590378743785, 'source_is_minimal': False, 'source_label': '2025.4.a.ba.1.3', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 5, 'target_hecke_orbit_code': 58546795222925717, 'target_is_minimal': False, 'target_label': '405.4.a.n.1.5', 'target_level': 405, 'twist_class_label': '45.4.e.c.16.5', 'twist_class_level': 45, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 48628681
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 3, 'source_hecke_orbit_code': 117093590378743785, 'source_is_minimal': False, 'source_label': '2025.4.a.ba.1.3', 'source_level': 2025, 'target_conrey_index': 76, 'target_dim': 14, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511073827127521, 'target_is_minimal': False, 'target_label': '225.4.e.d.76.3', 'target_level': 225, 'twist_class_label': '45.4.e.c.16.5', 'twist_class_level': 45, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48628682
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 3, 'source_hecke_orbit_code': 117093590378743785, 'source_is_minimal': False, 'source_label': '2025.4.a.ba.1.3', 'source_level': 2025, 'target_conrey_index': 151, 'target_dim': 14, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511073827127521, 'target_is_minimal': False, 'target_label': '225.4.e.d.151.3', 'target_level': 225, 'twist_class_label': '45.4.e.c.16.5', 'twist_class_level': 45, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 48628683
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 3, 'source_hecke_orbit_code': 117093590378743785, 'source_is_minimal': False, 'source_label': '2025.4.a.ba.1.3', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54043195595555221, 'target_is_minimal': False, 'target_label': '405.4.a.m.1.3', 'target_level': 405, 'twist_class_label': '45.4.e.c.16.5', 'twist_class_level': 45, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 48628684
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 3, 'source_hecke_orbit_code': 117093590378743785, 'source_is_minimal': False, 'source_label': '2025.4.a.ba.1.3', 'source_level': 2025, 'target_conrey_index': 49, 'target_dim': 28, 'target_embedding_index': 10, 'target_hecke_orbit_code': 13511486143987937, 'target_is_minimal': False, 'target_label': '225.4.k.d.49.10', 'target_level': 225, 'twist_class_label': '45.4.e.c.16.5', 'twist_class_level': 45, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48628685
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 3, 'source_hecke_orbit_code': 117093590378743785, 'source_is_minimal': False, 'source_label': '2025.4.a.ba.1.3', 'source_level': 2025, 'target_conrey_index': 46, 'target_dim': 14, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007474199756935, 'target_is_minimal': False, 'target_label': '135.4.e.c.46.3', 'target_level': 135, 'twist_class_label': '45.4.e.c.16.5', 'twist_class_level': 45, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 48628686
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 3, 'source_hecke_orbit_code': 117093590378743785, 'source_is_minimal': False, 'source_label': '2025.4.a.ba.1.3', 'source_level': 2025, 'target_conrey_index': 16, 'target_dim': 14, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007474199756845, 'target_is_minimal': True, 'target_label': '45.4.e.c.16.5', 'target_level': 45, 'twist_class_label': '45.4.e.c.16.5', 'twist_class_level': 45, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 48628687
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 3, 'source_hecke_orbit_code': 117093590378743785, 'source_is_minimal': False, 'source_label': '2025.4.a.ba.1.3', 'source_level': 2025, 'target_conrey_index': 124, 'target_dim': 28, 'target_embedding_index': 10, 'target_hecke_orbit_code': 13511486143987937, 'target_is_minimal': False, 'target_label': '225.4.k.d.124.10', 'target_level': 225, 'twist_class_label': '45.4.e.c.16.5', 'twist_class_level': 45, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 48628688
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 3, 'source_hecke_orbit_code': 117093590378743785, 'source_is_minimal': False, 'source_label': '2025.4.a.ba.1.3', 'source_level': 2025, 'target_conrey_index': 31, 'target_dim': 14, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007474199756845, 'target_is_minimal': True, 'target_label': '45.4.e.c.31.5', 'target_level': 45, 'twist_class_label': '45.4.e.c.16.5', 'twist_class_level': 45, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 48628689
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 3, 'source_hecke_orbit_code': 117093590378743785, 'source_is_minimal': False, 'source_label': '2025.4.a.ba.1.3', 'source_level': 2025, 'target_conrey_index': 124, 'target_dim': 28, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13511486143987937, 'target_is_minimal': False, 'target_label': '225.4.k.d.124.5', 'target_level': 225, 'twist_class_label': '45.4.e.c.16.5', 'twist_class_level': 45, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 4}
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id: 48628690
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 3, 'source_hecke_orbit_code': 117093590378743785, 'source_is_minimal': False, 'source_label': '2025.4.a.ba.1.3', 'source_level': 2025, 'target_conrey_index': 91, 'target_dim': 14, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007474199756935, 'target_is_minimal': False, 'target_label': '135.4.e.c.91.3', 'target_level': 135, 'twist_class_label': '45.4.e.c.16.5', 'twist_class_level': 45, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 4}
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id: 48628691
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 3, 'source_hecke_orbit_code': 117093590378743785, 'source_is_minimal': False, 'source_label': '2025.4.a.ba.1.3', 'source_level': 2025, 'target_conrey_index': 49, 'target_dim': 28, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13511486143987937, 'target_is_minimal': False, 'target_label': '225.4.k.d.49.5', 'target_level': 225, 'twist_class_label': '45.4.e.c.16.5', 'twist_class_level': 45, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2375100
{'charpoly_factorization': [[[-288, -1200, 460, 479, -74, -44, 2, 1], 1]], 'hecke_orbit_code': 117093590378743785, 'p': 2}
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id: 2375101
{'charpoly_factorization': [[[0, 1], 7]], 'hecke_orbit_code': 117093590378743785, 'p': 3}
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id: 2375102
{'charpoly_factorization': [[[0, 1], 7]], 'hecke_orbit_code': 117093590378743785, 'p': 5}
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id: 2375103
{'charpoly_factorization': [[[-210450744, -68052735, 4867848, 650337, -26142, -1571, 22, 1], 1]], 'hecke_orbit_code': 117093590378743785, 'p': 7}
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id: 2375104
{'charpoly_factorization': [[[-20019444768, -2234576400, 4473656, 5647316, 46184, -4166, -23, 1], 1]], 'hecke_orbit_code': 117093590378743785, 'p': 11}
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id: 2375105
{'charpoly_factorization': [[[-159234392576, 54441888, 558177424, 1597000, -436772, -3188, 96, 1], 1]], 'hecke_orbit_code': 117093590378743785, 'p': 13}
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id: 2375106
{'charpoly_factorization': [[[-60588009792, 7871650176, 2499369808, -27251020, -2125940, -9644, 161, 1], 1]], 'hecke_orbit_code': 117093590378743785, 'p': 17}
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id: 2375107
{'charpoly_factorization': [[[-1377989598400, 1417080000, 6594215888, -224819660, 1854320, 15442, -279, 1], 1]], 'hecke_orbit_code': 117093590378743785, 'p': 19}
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id: 2375108
{'charpoly_factorization': [[[4061042235738, 319448690109, 7434227790, 899433, -1879776, -14439, 96, 1], 1]], 'hecke_orbit_code': 117093590378743785, 'p': 23}
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id: 2375109
{'charpoly_factorization': [[[-12128150971026, -2048542254411, -92897749316, -1753720489, -13795250, -16301, 296, 1], 1]], 'hecke_orbit_code': 117093590378743785, 'p': 29}
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id: 2375110
{'charpoly_factorization': [[[29481260805504, 2691313729344, -21117961440, -1452653784, 22032132, -69584, -244, 1], 1]], 'hecke_orbit_code': 117093590378743785, 'p': 31}
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id: 2375111
{'charpoly_factorization': [[[83646911884544, -8022049775936, 196405787520, 585288704, -34349204, -86580, 404, 1], 1]], 'hecke_orbit_code': 117093590378743785, 'p': 37}
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id: 2375112
{'charpoly_factorization': [[[1524782419390161, 58383942911499, 692598630925, 1021803995, -31456877, -161351, 47, 1], 1]], 'hecke_orbit_code': 117093590378743785, 'p': 41}
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id: 2375113
{'charpoly_factorization': [[[1328908142680384, 146770517416224, 1523916256048, -3470994956, -73393160, -94898, 525, 1], 1]], 'hecke_orbit_code': 117093590378743785, 'p': 43}
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id: 2375114
{'charpoly_factorization': [[[-6505162038618372, 292893869594349, -4217212042898, 20820619937, 8230474, -267791, 164, 1], 1]], 'hecke_orbit_code': 117093590378743785, 'p': 47}
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id: 2375115
{'charpoly_factorization': [[[-111107669935704192, 3313074698297664, 34008897116512, 39458567216, -279547832, -500516, 506, 1], 1]], 'hecke_orbit_code': 117093590378743785, 'p': 53}
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id: 2375116
{'charpoly_factorization': [[[-595651050751670208, -38178523175987136, 14741411894096, 375330469568, -71749996, -1106312, 85, 1], 1]], 'hecke_orbit_code': 117093590378743785, 'p': 59}
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id: 2375117
{'charpoly_factorization': [[[1223316036378446, -192599375971827, 7109002299836, -97105034237, 471979010, -451073, -828, 1], 1]], 'hecke_orbit_code': 117093590378743785, 'p': 61}
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id: 2375118
{'charpoly_factorization': [[[-29225224702431603, 686210632919667, 11724435478647, -9567655617, -273237249, -88235, 1093, 1], 1]], 'hecke_orbit_code': 117093590378743785, 'p': 67}
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id: 2375119
{'charpoly_factorization': [[[329554038570193728, -2740127166757248, -99927513780416, 322939201712, 436205092, -1229012, -328, 1], 1]], 'hecke_orbit_code': 117093590378743785, 'p': 71}
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id: 2375120
{'charpoly_factorization': [[[-82873748372160512, 2981349592535040, -20542100801024, -128439358016, 117820816, 1327444, 2085, 1], 1]], 'hecke_orbit_code': 117093590378743785, 'p': 73}
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id: 2375121
{'charpoly_factorization': [[[16163225966939188608, 91608055797302208, -217501872207264, -941918607696, 2167211400, 15124, -2110, 1], 1]], 'hecke_orbit_code': 117093590378743785, 'p': 79}
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id: 2375122
{'charpoly_factorization': [[[6624473796314288172, 68135962294721277, 175355495435376, -206497270215, -1234542222, -720135, 1290, 1], 1]], 'hecke_orbit_code': 117093590378743785, 'p': 83}
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id: 2375123
{'charpoly_factorization': [[[324549934175069320950, 277911272642123745, -3417793050944628, -8680332870945, -6568870986, 788319, 3048, 1], 1]], 'hecke_orbit_code': 117093590378743785, 'p': 89}
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id: 2375124
{'charpoly_factorization': [[[-477794422160150570176, 331725638028814336, 3031047860438448, 320540186240, -4996509932, -2304468, 1787, 1], 1]], 'hecke_orbit_code': 117093590378743785, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 27, 'label': '2025.4.a.ba', 'level': 2025, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 67464139
{'hecke_orbit_code': 117093590378743785, 'n': 1, 'trace_an': 7}
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id: 67464140
{'hecke_orbit_code': 117093590378743785, 'n': 2, 'trace_an': -2}
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id: 67464141
{'hecke_orbit_code': 117093590378743785, 'n': 3, 'trace_an': 0}
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id: 67464142
{'hecke_orbit_code': 117093590378743785, 'n': 4, 'trace_an': 36}
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id: 67464143
{'hecke_orbit_code': 117093590378743785, 'n': 5, 'trace_an': 0}
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id: 67464144
{'hecke_orbit_code': 117093590378743785, 'n': 6, 'trace_an': 0}
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id: 67464145
{'hecke_orbit_code': 117093590378743785, 'n': 7, 'trace_an': -22}
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id: 67464146
{'hecke_orbit_code': 117093590378743785, 'n': 8, 'trace_an': -18}
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id: 67464147
{'hecke_orbit_code': 117093590378743785, 'n': 9, 'trace_an': 0}
-
id: 67464148
{'hecke_orbit_code': 117093590378743785, 'n': 10, 'trace_an': 0}
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id: 67464149
{'hecke_orbit_code': 117093590378743785, 'n': 11, 'trace_an': 23}
-
id: 67464150
{'hecke_orbit_code': 117093590378743785, 'n': 12, 'trace_an': 0}
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id: 67464151
{'hecke_orbit_code': 117093590378743785, 'n': 13, 'trace_an': -96}
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id: 67464152
{'hecke_orbit_code': 117093590378743785, 'n': 14, 'trace_an': -21}
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id: 67464153
{'hecke_orbit_code': 117093590378743785, 'n': 15, 'trace_an': 0}
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id: 67464154
{'hecke_orbit_code': 117093590378743785, 'n': 16, 'trace_an': 324}
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id: 67464155
{'hecke_orbit_code': 117093590378743785, 'n': 17, 'trace_an': -161}
-
id: 67464156
{'hecke_orbit_code': 117093590378743785, 'n': 18, 'trace_an': 0}
-
id: 67464157
{'hecke_orbit_code': 117093590378743785, 'n': 19, 'trace_an': 279}
-
id: 67464158
{'hecke_orbit_code': 117093590378743785, 'n': 20, 'trace_an': 0}
-
id: 67464159
{'hecke_orbit_code': 117093590378743785, 'n': 21, 'trace_an': 0}
-
id: 67464160
{'hecke_orbit_code': 117093590378743785, 'n': 22, 'trace_an': -311}
-
id: 67464161
{'hecke_orbit_code': 117093590378743785, 'n': 23, 'trace_an': -96}
-
id: 67464162
{'hecke_orbit_code': 117093590378743785, 'n': 24, 'trace_an': 0}
-
id: 67464163
{'hecke_orbit_code': 117093590378743785, 'n': 25, 'trace_an': 0}
-
id: 67464164
{'hecke_orbit_code': 117093590378743785, 'n': 26, 'trace_an': -358}
-
id: 67464165
{'hecke_orbit_code': 117093590378743785, 'n': 27, 'trace_an': 0}
-
id: 67464166
{'hecke_orbit_code': 117093590378743785, 'n': 28, 'trace_an': -337}
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