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{'Nk2': 8100, 'analytic_conductor': 16.169706409309278, 'analytic_rank': 0, '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, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 564, 'field_disc_factorization': [[2, 2], [3, 1], [47, 1]], 'field_poly': [3, -5, -1, 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, [3, -5, -1, 1]], [7, [-3, 3, 5, 1]], [11, [12, -8, -2, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050394816743401, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2025.2.a.o', 'level': 2025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '45.2.e.b', 'nf_label': '3.3.564.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(2+\\beta _{2})q^{4}+(-2+\\beta _{1})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2025.2.a', 'trace_display': [1, 0, 0, -5], 'trace_hash': 184590075334664835, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.068', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.894', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.250', 'prec': 17}, {'__RealLiteral__': 0, 'data': '21.656', 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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [5, -1]], 16, 4], [[[3, 1], [5, 1]], 16, 9], [[[3, 1], [5, -1]], 20, 6], [[[3, -1], [5, 1]], 18, 7]], 'ALdims': [16, 20, 18, 16], 'Nk2': 8100, 'analytic_conductor': 16.169706409309278, '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': 235, 'dim': 70, 'eis_dim': 71, 'eis_new_dim': 12, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33556457, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '2025.2.a', 'level': 2025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 306, 'mf_new_dim': 82, 'num_forms': 26, 'plus_dim': 32, 'prim_orbit_index': 1, 'relative_dim': 70, 'sturm_bound': 540, 'trace_bound': 11, 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mf_twists_cc • Show schema
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id: 47774346
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 63050394816743401, 'target_is_minimal': False, 'target_label': '2025.2.a.o.1.3', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47774347
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189372905, 'target_is_minimal': False, 'target_label': '2025.2.a.n.1.1', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47774348
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 54043264281479145, 'target_is_minimal': False, 'target_label': '2025.2.b.m.649.6', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47774349
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043264281479145, 'target_is_minimal': False, 'target_label': '2025.2.b.m.649.1', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47774350
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052518805, 'target_is_minimal': False, 'target_label': '405.2.a.i.1.1', 'target_level': 405, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
-
id: 47774351
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 76, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503874538832097, 'target_is_minimal': False, 'target_label': '225.2.e.b.76.3', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
-
id: 47774352
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 451, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832547, 'target_is_minimal': False, 'target_label': '675.2.e.b.451.1', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
-
id: 47774353
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 151, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503874538832097, 'target_is_minimal': False, 'target_label': '225.2.e.b.151.3', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
-
id: 47774354
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 226, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832547, 'target_is_minimal': False, 'target_label': '675.2.e.b.226.1', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47774355
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539664654108649, 'target_is_minimal': False, 'target_label': '2025.2.b.l.649.1', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47774356
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 49539664654108649, 'target_is_minimal': False, 'target_label': '2025.2.b.l.649.6', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 47774357
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40532396679889301, 'target_is_minimal': False, 'target_label': '405.2.a.j.1.3', 'target_level': 405, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 47774358
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 198158383637862736, 'target_is_minimal': False, 'target_label': '6480.2.a.bs.1.3', 'target_level': 6480, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 47774359
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855692513, 'target_is_minimal': False, 'target_label': '225.2.k.b.49.1', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47774360
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 46, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503874538832007, 'target_is_minimal': False, 'target_label': '135.2.e.b.46.3', 'target_level': 135, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47774361
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 199, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504286855692963, 'target_is_minimal': False, 'target_label': '675.2.k.b.199.6', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47774362
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 424, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504286855692963, 'target_is_minimal': False, 'target_label': '675.2.k.b.424.6', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 47774363
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 16, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538831917, 'target_is_minimal': True, 'target_label': '45.2.e.b.16.1', 'target_level': 45, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 47774364
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 424, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855692963, 'target_is_minimal': False, 'target_label': '675.2.k.b.424.1', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 47774365
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 124, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855692513, 'target_is_minimal': False, 'target_label': '225.2.k.b.124.1', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 47774366
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 31, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538831917, 'target_is_minimal': True, 'target_label': '45.2.e.b.31.1', 'target_level': 45, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 47774367
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 124, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504286855692513, 'target_is_minimal': False, 'target_label': '225.2.k.b.124.6', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 47774368
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 91, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503874538832007, 'target_is_minimal': False, 'target_label': '135.2.e.b.91.3', 'target_level': 135, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 47774369
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504286855692513, 'target_is_minimal': False, 'target_label': '225.2.k.b.49.6', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 47774370
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 199, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855692963, 'target_is_minimal': False, 'target_label': '675.2.k.b.199.1', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 47774371
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 211669182519974224, 'target_is_minimal': False, 'target_label': '6480.2.a.bv.1.3', 'target_level': 6480, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 47774372
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 241, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029896564146896, 'target_is_minimal': False, 'target_label': '720.2.q.i.241.1', 'target_level': 720, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '180.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 47774373
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 1441, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45037095818889328, 'target_is_minimal': False, 'target_label': '2160.2.q.k.1441.1', 'target_level': 2160, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '180.79', 'twisting_conrey_index': 79, 'weight': 2}
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id: 47774374
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 481, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029896564146896, 'target_is_minimal': False, 'target_label': '720.2.q.i.481.1', 'target_level': 720, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '180.119', 'twisting_conrey_index': 119, 'weight': 2}
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id: 47774375
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816743401, 'source_is_minimal': False, 'source_label': '2025.2.a.o.1.3', 'source_level': 2025, 'target_conrey_index': 721, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45037095818889328, 'target_is_minimal': False, 'target_label': '2160.2.q.k.721.1', 'target_level': 2160, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '180.139', 'twisting_conrey_index': 139, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2373875
{'charpoly_factorization': [[[3, -5, -1, 1], 1]], 'hecke_orbit_code': 63050394816743401, 'p': 2}
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id: 2373876
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 63050394816743401, 'p': 3}
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id: 2373877
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 63050394816743401, 'p': 5}
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id: 2373878
{'charpoly_factorization': [[[-3, 3, 5, 1], 1]], 'hecke_orbit_code': 63050394816743401, 'p': 7}
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id: 2373879
{'charpoly_factorization': [[[12, -8, -2, 1], 1]], 'hecke_orbit_code': 63050394816743401, 'p': 11}
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id: 2373880
{'charpoly_factorization': [[[-4, -4, 4, 1], 1]], 'hecke_orbit_code': 63050394816743401, 'p': 13}
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id: 2373881
{'charpoly_factorization': [[[-12, -8, 2, 1], 1]], 'hecke_orbit_code': 63050394816743401, 'p': 17}
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id: 2373882
{'charpoly_factorization': [[[4, -4, -4, 1], 1]], 'hecke_orbit_code': 63050394816743401, 'p': 19}
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id: 2373883
{'charpoly_factorization': [[[117, -33, -3, 1], 1]], 'hecke_orbit_code': 63050394816743401, 'p': 23}
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id: 2373884
{'charpoly_factorization': [[[51, -29, -7, 1], 1]], 'hecke_orbit_code': 63050394816743401, 'p': 29}
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id: 2373885
{'charpoly_factorization': [[[468, -60, -8, 1], 1]], 'hecke_orbit_code': 63050394816743401, 'p': 31}
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id: 2373886
{'charpoly_factorization': [[[-4, -12, 6, 1], 1]], 'hecke_orbit_code': 63050394816743401, 'p': 37}
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id: 2373887
{'charpoly_factorization': [[[-3, 19, -13, 1], 1]], 'hecke_orbit_code': 63050394816743401, 'p': 41}
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id: 2373888
{'charpoly_factorization': [[[-4, -4, 10, 1], 1]], 'hecke_orbit_code': 63050394816743401, 'p': 43}
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id: 2373889
{'charpoly_factorization': [[[369, -11, -13, 1], 1]], 'hecke_orbit_code': 63050394816743401, 'p': 47}
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id: 2373890
{'charpoly_factorization': [[[-24, -20, 2, 1], 1]], 'hecke_orbit_code': 63050394816743401, 'p': 53}
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id: 2373891
{'charpoly_factorization': [[[24, -20, -2, 1], 1]], 'hecke_orbit_code': 63050394816743401, 'p': 59}
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id: 2373892
{'charpoly_factorization': [[[-71, -37, -1, 1], 1]], 'hecke_orbit_code': 63050394816743401, 'p': 61}
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id: 2373893
{'charpoly_factorization': [[[-507, -39, 11, 1], 1]], 'hecke_orbit_code': 63050394816743401, 'p': 67}
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id: 2373894
{'charpoly_factorization': [[[708, -92, -10, 1], 1]], 'hecke_orbit_code': 63050394816743401, 'p': 71}
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id: 2373895
{'charpoly_factorization': [[[128, -64, -8, 1], 1]], 'hecke_orbit_code': 63050394816743401, 'p': 73}
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id: 2373896
{'charpoly_factorization': [[[-24, -84, -2, 1], 1]], 'hecke_orbit_code': 63050394816743401, 'p': 79}
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id: 2373897
{'charpoly_factorization': [[[-81, 27, 15, 1], 1]], 'hecke_orbit_code': 63050394816743401, 'p': 83}
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id: 2373898
{'charpoly_factorization': [[[-3, 1], 3]], 'hecke_orbit_code': 63050394816743401, 'p': 89}
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id: 2373899
{'charpoly_factorization': [[[1304, -36, -18, 1], 1]], 'hecke_orbit_code': 63050394816743401, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 15, 'label': '2025.2.a.o', 'level': 2025, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 230311000
{'hecke_orbit_code': 63050394816743401, 'n': 1, 'trace_an': 3}
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id: 230311001
{'hecke_orbit_code': 63050394816743401, 'n': 2, 'trace_an': 1}
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id: 230311002
{'hecke_orbit_code': 63050394816743401, 'n': 3, 'trace_an': 0}
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id: 230311003
{'hecke_orbit_code': 63050394816743401, 'n': 4, 'trace_an': 5}
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id: 230311004
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id: 230311973
{'hecke_orbit_code': 63050394816743401, 'n': 974, 'trace_an': 4}
-
id: 230311974
{'hecke_orbit_code': 63050394816743401, 'n': 975, 'trace_an': 0}
-
id: 230311975
{'hecke_orbit_code': 63050394816743401, 'n': 976, 'trace_an': 51}
-
id: 230311976
{'hecke_orbit_code': 63050394816743401, 'n': 977, 'trace_an': 52}
-
id: 230311977
{'hecke_orbit_code': 63050394816743401, 'n': 978, 'trace_an': 0}
-
id: 230311978
{'hecke_orbit_code': 63050394816743401, 'n': 979, 'trace_an': 6}
-
id: 230311979
{'hecke_orbit_code': 63050394816743401, 'n': 980, 'trace_an': 0}
-
id: 230311980
{'hecke_orbit_code': 63050394816743401, 'n': 981, 'trace_an': 0}
-
id: 230311981
{'hecke_orbit_code': 63050394816743401, 'n': 982, 'trace_an': -64}
-
id: 230311982
{'hecke_orbit_code': 63050394816743401, 'n': 983, 'trace_an': -21}
-
id: 230311983
{'hecke_orbit_code': 63050394816743401, 'n': 984, 'trace_an': 0}
-
id: 230311984
{'hecke_orbit_code': 63050394816743401, 'n': 985, 'trace_an': 0}
-
id: 230311985
{'hecke_orbit_code': 63050394816743401, 'n': 986, 'trace_an': -8}
-
id: 230311986
{'hecke_orbit_code': 63050394816743401, 'n': 987, 'trace_an': 0}
-
id: 230311987
{'hecke_orbit_code': 63050394816743401, 'n': 988, 'trace_an': 28}
-
id: 230311988
{'hecke_orbit_code': 63050394816743401, 'n': 989, 'trace_an': -36}
-
id: 230311989
{'hecke_orbit_code': 63050394816743401, 'n': 990, 'trace_an': 0}
-
id: 230311990
{'hecke_orbit_code': 63050394816743401, 'n': 991, 'trace_an': -90}
-
id: 230311991
{'hecke_orbit_code': 63050394816743401, 'n': 992, 'trace_an': 6}
-
id: 230311992
{'hecke_orbit_code': 63050394816743401, 'n': 993, 'trace_an': 0}
-
id: 230311993
{'hecke_orbit_code': 63050394816743401, 'n': 994, 'trace_an': 30}
-
id: 230311994
{'hecke_orbit_code': 63050394816743401, 'n': 995, 'trace_an': 0}
-
id: 230311995
{'hecke_orbit_code': 63050394816743401, 'n': 996, 'trace_an': 0}
-
id: 230311996
{'hecke_orbit_code': 63050394816743401, 'n': 997, 'trace_an': -62}
-
id: 230311997
{'hecke_orbit_code': 63050394816743401, 'n': 998, 'trace_an': 4}
-
id: 230311998
{'hecke_orbit_code': 63050394816743401, 'n': 999, 'trace_an': 0}
-
id: 230311999
{'hecke_orbit_code': 63050394816743401, 'n': 1000, 'trace_an': 0}