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mf_newforms • Show schema
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{'Nk2': 3200, 'analytic_conductor': 15.619251274206087, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [50, 2, [27], [1]], 'cm_discs': [], 'conrey_index': 49, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [144, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007268108435506, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 3200, 'analytic_conductor': 15.619251274206087, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [50, 2, [27], [1]], 'conrey_index': 49, 'cusp_dim': 46, 'dim': 10, 'eis_dim': 12, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 68853694514, 'hecke_orbit_dims': [2, 2, 2, 2, 2], 'label': '50.8.b', 'level': 50, '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': [2, 5], 'level_radical': 10, 'mf_dim': 58, 'mf_new_dim': 10, 'num_forms': 5, 'prim_orbit_index': 2, 'relative_dim': 10, 'sturm_bound': 60, 'trace_bound': 6, 'trace_display': [0, 0, 0, 0], 'traces': [10, 0, 0, -640, 0, -1360, 0, 0, -5320, 0, -25230, 0, 0, 2080, 0, 40960, 0, 0, -16850, 0, 217820, 0, 0, 87040, 0, 79040, 0, 0, -591000, 0, 368420, 0, 0, 460080, 0, 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mf_twists_cc • Show schema
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id: 40616571
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007268108435506, 'target_is_minimal': False, 'target_label': '50.8.b.c.49.1', 'target_level': 50, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 8}
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id: 40616572
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021735337394626, 'target_is_minimal': False, 'target_label': '450.8.c.g.199.2', 'target_level': 450, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 8}
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id: 40616573
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532534219506064, 'target_is_minimal': False, 'target_label': '400.8.c.j.49.2', 'target_level': 400, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 8}
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id: 40616574
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597898440754, 'target_is_minimal': False, 'target_label': '50.8.a.g.1.1', 'target_level': 50, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 8}
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id: 40616575
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 134217730, 'target_is_minimal': True, 'target_label': '2.8.a.a.1.1', 'target_level': 2, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 8}
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id: 40616576
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007268108435506, 'target_is_minimal': False, 'target_label': '50.8.b.c.49.2', 'target_level': 50, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 8}
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id: 40616577
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199388959170, 'target_is_minimal': False, 'target_label': '450.8.a.c.1.1', 'target_level': 450, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 8}
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id: 40616578
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599761588242, 'target_is_minimal': False, 'target_label': '18.8.a.b.1.1', 'target_level': 18, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 8}
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id: 40616579
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021735337394626, 'target_is_minimal': False, 'target_label': '450.8.c.g.199.1', 'target_level': 450, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 8}
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id: 40616580
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599761588240, 'target_is_minimal': False, 'target_label': '16.8.a.b.1.1', 'target_level': 16, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 8}
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id: 40616581
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539596035293584, 'target_is_minimal': False, 'target_label': '400.8.a.l.1.1', 'target_level': 400, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 8}
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id: 40616582
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532534219506064, 'target_is_minimal': False, 'target_label': '400.8.c.j.49.1', 'target_level': 400, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 8}
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id: 40616583
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 79, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014536082653282, 'target_is_minimal': False, 'target_label': '98.8.c.e.79.1', 'target_level': 98, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '35.3', 'twisting_conrey_index': 3, 'weight': 8}
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id: 40616584
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 134217826, 'target_is_minimal': False, 'target_label': '98.8.a.a.1.1', 'target_level': 98, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '35.13', 'twisting_conrey_index': 13, 'weight': 8}
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id: 40616585
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 79, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936455282786, 'target_is_minimal': False, 'target_label': '98.8.c.d.79.1', 'target_level': 98, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '35.18', 'twisting_conrey_index': 18, 'weight': 8}
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id: 40616586
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 67, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936455282786, 'target_is_minimal': False, 'target_label': '98.8.c.d.67.1', 'target_level': 98, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '35.23', 'twisting_conrey_index': 23, 'weight': 8}
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id: 40616587
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 67, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014536082653282, 'target_is_minimal': False, 'target_label': '98.8.c.e.67.1', 'target_level': 98, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '35.33', 'twisting_conrey_index': 33, 'weight': 8}
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id: 40616588
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398643699776, 'target_is_minimal': False, 'target_label': '64.8.a.e.1.1', 'target_level': 64, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '40.3', 'twisting_conrey_index': 3, 'weight': 8}
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id: 40616589
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199388958784, 'target_is_minimal': False, 'target_label': '64.8.a.c.1.1', 'target_level': 64, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '40.13', 'twisting_conrey_index': 13, 'weight': 8}
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id: 40616590
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 55, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539733474246818, 'target_is_minimal': False, 'target_label': '162.8.c.l.55.1', 'target_level': 162, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 8}
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id: 40616591
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 55, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137573171362, 'target_is_minimal': False, 'target_label': '162.8.c.a.55.1', 'target_level': 162, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 8}
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id: 40616592
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 109, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137573171362, 'target_is_minimal': False, 'target_label': '162.8.c.a.109.1', 'target_level': 162, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 8}
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id: 40616593
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 109, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539733474246818, 'target_is_minimal': False, 'target_label': '162.8.c.l.109.1', 'target_level': 162, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 8}
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id: 40616594
{'conductor': 55, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398643699954, 'target_is_minimal': False, 'target_label': '242.8.a.e.1.1', 'target_level': 242, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '55.43', 'twisting_conrey_index': 43, 'weight': 8}
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id: 40616595
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797153181840, 'target_is_minimal': False, 'target_label': '144.8.a.i.1.1', 'target_level': 144, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 8}
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id: 40616596
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 337, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510867735806290, 'target_is_minimal': False, 'target_label': '338.8.b.d.337.1', 'target_level': 338, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '65.8', 'twisting_conrey_index': 8, 'weight': 8}
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id: 40616597
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 337, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510867735806290, 'target_is_minimal': False, 'target_label': '338.8.b.d.337.2', 'target_level': 338, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '65.18', 'twisting_conrey_index': 18, 'weight': 8}
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id: 40616598
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510799016329554, 'target_is_minimal': False, 'target_label': '338.8.a.d.1.1', 'target_level': 338, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '65.38', 'twisting_conrey_index': 38, 'weight': 8}
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id: 40616599
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518066990547200, 'target_is_minimal': False, 'target_label': '256.8.b.f.129.1', 'target_level': 256, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '80.3', 'twisting_conrey_index': 3, 'weight': 8}
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id: 40616600
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503668481065216, 'target_is_minimal': False, 'target_label': '256.8.b.b.129.2', 'target_level': 256, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '80.13', 'twisting_conrey_index': 13, 'weight': 8}
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id: 40616601
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518066990547200, 'target_is_minimal': False, 'target_label': '256.8.b.f.129.2', 'target_level': 256, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '80.43', 'twisting_conrey_index': 43, 'weight': 8}
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id: 40616602
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503668481065216, 'target_is_minimal': False, 'target_label': '256.8.b.b.129.1', 'target_level': 256, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '80.53', 'twisting_conrey_index': 53, 'weight': 8}
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id: 40616603
{'conductor': 85, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599761588802, 'target_is_minimal': False, 'target_label': '578.8.a.b.1.1', 'target_level': 578, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '85.33', 'twisting_conrey_index': 33, 'weight': 8}
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id: 40616604
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597898441280, 'target_is_minimal': False, 'target_label': '576.8.a.g.1.1', 'target_level': 576, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '120.53', 'twisting_conrey_index': 53, 'weight': 8}
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id: 40616605
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007268108435506, 'source_is_minimal': False, 'source_label': '50.8.b.c.49.1', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998271070784, 'target_is_minimal': False, 'target_label': '576.8.a.f.1.1', 'target_level': 576, 'twist_class_label': '2.8.a.a.1.1', 'twist_class_level': 2, 'twisting_char_label': '120.83', 'twisting_conrey_index': 83, 'weight': 8}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 169350
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 9007268108435506, 'p': 2}
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id: 169351
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 9007268108435506, 'p': 3}
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id: 169352
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007268108435506, 'p': 5}
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id: 169353
{'charpoly_factorization': [[[1032256, 0, 1], 1]], 'hecke_orbit_code': 9007268108435506, 'p': 7}
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id: 169354
{'charpoly_factorization': [[[-1092, 1], 2]], 'hecke_orbit_code': 9007268108435506, 'p': 11}
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id: 169355
{'charpoly_factorization': [[[1909924, 0, 1], 1]], 'hecke_orbit_code': 9007268108435506, 'p': 13}
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id: 169356
{'charpoly_factorization': [[[216266436, 0, 1], 1]], 'hecke_orbit_code': 9007268108435506, 'p': 17}
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id: 169357
{'charpoly_factorization': [[[-39940, 1], 2]], 'hecke_orbit_code': 9007268108435506, 'p': 19}
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id: 169358
{'charpoly_factorization': [[[4721338944, 0, 1], 1]], 'hecke_orbit_code': 9007268108435506, 'p': 23}
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id: 169359
{'charpoly_factorization': [[[-102570, 1], 2]], 'hecke_orbit_code': 9007268108435506, 'p': 29}
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id: 169360
{'charpoly_factorization': [[[-227552, 1], 2]], 'hecke_orbit_code': 9007268108435506, 'p': 31}
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id: 169361
{'charpoly_factorization': [[[25768596676, 0, 1], 1]], 'hecke_orbit_code': 9007268108435506, 'p': 37}
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id: 169362
{'charpoly_factorization': [[[-10842, 1], 2]], 'hecke_orbit_code': 9007268108435506, 'p': 41}
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id: 169363
{'charpoly_factorization': [[[397843039504, 0, 1], 1]], 'hecke_orbit_code': 9007268108435506, 'p': 43}
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id: 169364
{'charpoly_factorization': [[[223403694336, 0, 1], 1]], 'hecke_orbit_code': 9007268108435506, 'p': 47}
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id: 169365
{'charpoly_factorization': [[[2232089784324, 0, 1], 1]], 'hecke_orbit_code': 9007268108435506, 'p': 53}
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id: 169366
{'charpoly_factorization': [[[2640660, 1], 2]], 'hecke_orbit_code': 9007268108435506, 'p': 59}
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id: 169367
{'charpoly_factorization': [[[-827702, 1], 2]], 'hecke_orbit_code': 9007268108435506, 'p': 61}
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id: 169368
{'charpoly_factorization': [[[15877008016, 0, 1], 1]], 'hecke_orbit_code': 9007268108435506, 'p': 67}
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id: 169369
{'charpoly_factorization': [[[1414728, 1], 2]], 'hecke_orbit_code': 9007268108435506, 'p': 71}
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id: 169370
{'charpoly_factorization': [[[960952799524, 0, 1], 1]], 'hecke_orbit_code': 9007268108435506, 'p': 73}
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id: 169371
{'charpoly_factorization': [[[-3566800, 1], 2]], 'hecke_orbit_code': 9007268108435506, 'p': 79}
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id: 169372
{'charpoly_factorization': [[[32181703643664, 0, 1], 1]], 'hecke_orbit_code': 9007268108435506, 'p': 83}
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id: 169373
{'charpoly_factorization': [[[-11951190, 1], 2]], 'hecke_orbit_code': 9007268108435506, 'p': 89}
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id: 169374
{'charpoly_factorization': [[[75379659165316, 0, 1], 1]], 'hecke_orbit_code': 9007268108435506, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 3, 'label': '50.8.b.c', 'level': 50, 'portrait': 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', 'weight': 8}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 29761567
{'hecke_orbit_code': 9007268108435506, 'n': 1, 'trace_an': 2}
-
id: 29761568
{'hecke_orbit_code': 9007268108435506, 'n': 2, 'trace_an': 0}
-
id: 29761569
{'hecke_orbit_code': 9007268108435506, 'n': 3, 'trace_an': 0}
-
id: 29761570
{'hecke_orbit_code': 9007268108435506, 'n': 4, 'trace_an': -128}
-
id: 29761571
{'hecke_orbit_code': 9007268108435506, 'n': 5, 'trace_an': 0}
-
id: 29761572
{'hecke_orbit_code': 9007268108435506, 'n': 6, 'trace_an': -192}
-
id: 29761573
{'hecke_orbit_code': 9007268108435506, 'n': 7, 'trace_an': 0}
-
id: 29761574
{'hecke_orbit_code': 9007268108435506, 'n': 8, 'trace_an': 0}
-
id: 29761575
{'hecke_orbit_code': 9007268108435506, 'n': 9, 'trace_an': 4086}
-
id: 29761576
{'hecke_orbit_code': 9007268108435506, 'n': 10, 'trace_an': 0}
-
id: 29761577
{'hecke_orbit_code': 9007268108435506, 'n': 11, 'trace_an': 2184}
-
id: 29761578
{'hecke_orbit_code': 9007268108435506, 'n': 12, 'trace_an': 0}
-
id: 29761579
{'hecke_orbit_code': 9007268108435506, 'n': 13, 'trace_an': 0}
-
id: 29761580
{'hecke_orbit_code': 9007268108435506, 'n': 14, 'trace_an': 16256}
-
id: 29761581
{'hecke_orbit_code': 9007268108435506, 'n': 15, 'trace_an': 0}
-
id: 29761582
{'hecke_orbit_code': 9007268108435506, 'n': 16, 'trace_an': 8192}
-
id: 29761583
{'hecke_orbit_code': 9007268108435506, 'n': 17, 'trace_an': 0}
-
id: 29761584
{'hecke_orbit_code': 9007268108435506, 'n': 18, 'trace_an': 0}
-
id: 29761585
{'hecke_orbit_code': 9007268108435506, 'n': 19, 'trace_an': 79880}
-
id: 29761586
{'hecke_orbit_code': 9007268108435506, 'n': 20, 'trace_an': 0}
-
id: 29761587
{'hecke_orbit_code': 9007268108435506, 'n': 21, 'trace_an': 24384}
-
id: 29761588
{'hecke_orbit_code': 9007268108435506, 'n': 22, 'trace_an': 0}
-
id: 29761589
{'hecke_orbit_code': 9007268108435506, 'n': 23, 'trace_an': 0}
-
id: 29761590
{'hecke_orbit_code': 9007268108435506, 'n': 24, 'trace_an': 12288}
-
id: 29761591
{'hecke_orbit_code': 9007268108435506, 'n': 25, 'trace_an': 0}
-
id: 29761592
{'hecke_orbit_code': 9007268108435506, 'n': 26, 'trace_an': -22112}
-
id: 29761593
{'hecke_orbit_code': 9007268108435506, 'n': 27, 'trace_an': 0}
-
id: 29761594
{'hecke_orbit_code': 9007268108435506, 'n': 28, 'trace_an': 0}
-
id: 29761595
{'hecke_orbit_code': 9007268108435506, 'n': 29, 'trace_an': 205140}
-
id: 29761596
{'hecke_orbit_code': 9007268108435506, 'n': 30, 'trace_an': 0}
-
id: 29761597
{'hecke_orbit_code': 9007268108435506, 'n': 31, 'trace_an': 455104}
-
id: 29761598
{'hecke_orbit_code': 9007268108435506, 'n': 32, 'trace_an': 0}
-
id: 29761599
{'hecke_orbit_code': 9007268108435506, 'n': 33, 'trace_an': 0}
-
id: 29761600
{'hecke_orbit_code': 9007268108435506, 'n': 34, 'trace_an': 235296}
-
id: 29761601
{'hecke_orbit_code': 9007268108435506, 'n': 35, 'trace_an': 0}
-
id: 29761602
{'hecke_orbit_code': 9007268108435506, 'n': 36, 'trace_an': -261504}
-
id: 29761603
{'hecke_orbit_code': 9007268108435506, 'n': 37, 'trace_an': 0}
-
id: 29761604
{'hecke_orbit_code': 9007268108435506, 'n': 38, 'trace_an': 0}
-
id: 29761605
{'hecke_orbit_code': 9007268108435506, 'n': 39, 'trace_an': -33168}
-
id: 29761606
{'hecke_orbit_code': 9007268108435506, 'n': 40, 'trace_an': 0}
-
id: 29761607
{'hecke_orbit_code': 9007268108435506, 'n': 41, 'trace_an': 21684}
-
id: 29761608
{'hecke_orbit_code': 9007268108435506, 'n': 42, 'trace_an': 0}
-
id: 29761609
{'hecke_orbit_code': 9007268108435506, 'n': 43, 'trace_an': 0}
-
id: 29761610
{'hecke_orbit_code': 9007268108435506, 'n': 44, 'trace_an': -139776}
-
id: 29761611
{'hecke_orbit_code': 9007268108435506, 'n': 45, 'trace_an': 0}
-
id: 29761612
{'hecke_orbit_code': 9007268108435506, 'n': 46, 'trace_an': -1099392}
-
id: 29761613
{'hecke_orbit_code': 9007268108435506, 'n': 47, 'trace_an': 0}
-
id: 29761614
{'hecke_orbit_code': 9007268108435506, 'n': 48, 'trace_an': 0}
-
id: 29761615
{'hecke_orbit_code': 9007268108435506, 'n': 49, 'trace_an': -417426}
-
id: 29761616
{'hecke_orbit_code': 9007268108435506, 'n': 50, 'trace_an': 0}
-
id: 29761617
{'hecke_orbit_code': 9007268108435506, 'n': 51, 'trace_an': 352944}
-
id: 29761618
{'hecke_orbit_code': 9007268108435506, 'n': 52, 'trace_an': 0}
-
id: 29761619
{'hecke_orbit_code': 9007268108435506, 'n': 53, 'trace_an': 0}
-
id: 29761620
{'hecke_orbit_code': 9007268108435506, 'n': 54, 'trace_an': -812160}
-
id: 29761621
{'hecke_orbit_code': 9007268108435506, 'n': 55, 'trace_an': 0}
-
id: 29761622
{'hecke_orbit_code': 9007268108435506, 'n': 56, 'trace_an': -1040384}
-
id: 29761623
{'hecke_orbit_code': 9007268108435506, 'n': 57, 'trace_an': 0}
-
id: 29761624
{'hecke_orbit_code': 9007268108435506, 'n': 58, 'trace_an': 0}
-
id: 29761625
{'hecke_orbit_code': 9007268108435506, 'n': 59, 'trace_an': -5281320}
-
id: 29761626
{'hecke_orbit_code': 9007268108435506, 'n': 60, 'trace_an': 0}
-
id: 29761627
{'hecke_orbit_code': 9007268108435506, 'n': 61, 'trace_an': 1655404}
-
id: 29761628
{'hecke_orbit_code': 9007268108435506, 'n': 62, 'trace_an': 0}
-
id: 29761629
{'hecke_orbit_code': 9007268108435506, 'n': 63, 'trace_an': 0}
-
id: 29761630
{'hecke_orbit_code': 9007268108435506, 'n': 64, 'trace_an': -524288}
-
id: 29761631
{'hecke_orbit_code': 9007268108435506, 'n': 65, 'trace_an': 0}
-
id: 29761632
{'hecke_orbit_code': 9007268108435506, 'n': 66, 'trace_an': -209664}
-
id: 29761633
{'hecke_orbit_code': 9007268108435506, 'n': 67, 'trace_an': 0}
-
id: 29761634
{'hecke_orbit_code': 9007268108435506, 'n': 68, 'trace_an': 0}
-
id: 29761635
{'hecke_orbit_code': 9007268108435506, 'n': 69, 'trace_an': -1649088}
-
id: 29761636
{'hecke_orbit_code': 9007268108435506, 'n': 70, 'trace_an': 0}
-
id: 29761637
{'hecke_orbit_code': 9007268108435506, 'n': 71, 'trace_an': -2829456}
-
id: 29761638
{'hecke_orbit_code': 9007268108435506, 'n': 72, 'trace_an': 0}
-
id: 29761639
{'hecke_orbit_code': 9007268108435506, 'n': 73, 'trace_an': 0}
-
id: 29761640
{'hecke_orbit_code': 9007268108435506, 'n': 74, 'trace_an': 2568416}
-
id: 29761641
{'hecke_orbit_code': 9007268108435506, 'n': 75, 'trace_an': 0}
-
id: 29761642
{'hecke_orbit_code': 9007268108435506, 'n': 76, 'trace_an': -5112320}
-
id: 29761643
{'hecke_orbit_code': 9007268108435506, 'n': 77, 'trace_an': 0}
-
id: 29761644
{'hecke_orbit_code': 9007268108435506, 'n': 78, 'trace_an': 0}
-
id: 29761645
{'hecke_orbit_code': 9007268108435506, 'n': 79, 'trace_an': 7133600}
-
id: 29761646
{'hecke_orbit_code': 9007268108435506, 'n': 80, 'trace_an': 0}
-
id: 29761647
{'hecke_orbit_code': 9007268108435506, 'n': 81, 'trace_an': 7717842}
-
id: 29761648
{'hecke_orbit_code': 9007268108435506, 'n': 82, 'trace_an': 0}
-
id: 29761649
{'hecke_orbit_code': 9007268108435506, 'n': 83, 'trace_an': 0}
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