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mf_newforms • Show schema
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{'Nk2': 2025, 'analytic_conductor': 1.0106066505818299, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 16, 'char_orbit_label': 'p', 'char_order': 12, 'char_parity': -1, 'char_values': [2025, 12, [326, 1702], [4, 3]], 'cm_discs': [-3], 'conrey_index': 757, 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [0, 1]], [7, [81, 0, 0, 0, -9, 0, 0, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008230063671273, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 9, 'hecke_ring_index_factorization': [[3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 16, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3], [1, 1, 5, 2, 1, 2, 0], [1, 2, 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mf_hecke_cc • Show schema
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'embedding_root_real': -0.9659258262890683, 'hecke_orbit': 3, 'hecke_orbit_code': 9008230063671273, 'label': '2025.1.p.c.757.2', 'level': 2025, 'weight': 1}
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mf_newspaces • Show schema
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{'Nk2': 2025, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 1.0106066505818299, 'char_conductor': 45, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 16, 'char_orbit_label': 'p', 'char_order': 12, 'char_parity': -1, 'char_values': [2025, 12, [326, 1702], [4, 3]], 'conrey_index': 757, 'cusp_dim': 20, 'dihedral_dim': 20, 'dim': 20, 'eis_dim': 144, 'eis_new_dim': 8, 'hecke_orbit_code': 1030808930281, 'hecke_orbit_dims': [4, 8, 8], 'label': '2025.1.p', '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': 164, 'mf_new_dim': 28, 'num_forms': 3, 'prim_orbit_index': 11, 'relative_dim': 5, 's4_dim': 0, 'sturm_bound': 270, 'trace_bound': 46, 'trace_display': [0, 0, 0, 0], 'traces': [20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 1, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 41391635
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008230063671273, 'source_is_minimal': False, 'source_label': '2025.1.p.c.757.2', 'source_level': 2025, 'target_conrey_index': 757, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008230063671273, 'target_is_minimal': False, 'target_label': '2025.1.p.c.757.2', 'target_level': 2025, 'twist_class_label': '675.1.g.b.82.1', 'twist_class_level': 675, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 41391636
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008230063671273, 'source_is_minimal': False, 'source_label': '2025.1.p.c.757.2', 'source_level': 2025, 'target_conrey_index': 757, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008230063671273, 'target_is_minimal': False, 'target_label': '2025.1.p.c.757.2', 'target_level': 2025, 'twist_class_label': '675.1.g.b.82.1', 'twist_class_level': 675, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 1}
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id: 41391637
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008230063671273, 'source_is_minimal': False, 'source_label': '2025.1.p.c.757.2', 'source_level': 2025, 'target_conrey_index': 1243, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008230063671273, 'target_is_minimal': False, 'target_label': '2025.1.p.c.1243.2', 'target_level': 2025, 'twist_class_label': '675.1.g.b.82.1', 'twist_class_level': 675, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 1}
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id: 41391638
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008230063671273, 'source_is_minimal': False, 'source_label': '2025.1.p.c.757.2', 'source_level': 2025, 'target_conrey_index': 1243, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008230063671273, 'target_is_minimal': False, 'target_label': '2025.1.p.c.1243.1', 'target_level': 2025, 'twist_class_label': '675.1.g.b.82.1', 'twist_class_level': 675, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 41391639
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008230063671273, 'source_is_minimal': False, 'source_label': '2025.1.p.c.757.2', 'source_level': 2025, 'target_conrey_index': 757, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008230063671273, 'target_is_minimal': False, 'target_label': '2025.1.p.c.757.1', 'target_level': 2025, 'twist_class_label': '675.1.g.b.82.1', 'twist_class_level': 675, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 1}
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id: 41391640
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008230063671273, 'source_is_minimal': False, 'source_label': '2025.1.p.c.757.2', 'source_level': 2025, 'target_conrey_index': 1432, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008230063671273, 'target_is_minimal': False, 'target_label': '2025.1.p.c.1432.1', 'target_level': 2025, 'twist_class_label': '675.1.g.b.82.1', 'twist_class_level': 675, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 1}
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id: 41391641
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008230063671273, 'source_is_minimal': False, 'source_label': '2025.1.p.c.757.2', 'source_level': 2025, 'target_conrey_index': 82, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504011961008803, 'target_is_minimal': True, 'target_label': '675.1.g.b.82.2', 'target_level': 675, 'twist_class_label': '675.1.g.b.82.1', 'twist_class_level': 675, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 1}
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id: 41391642
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008230063671273, 'source_is_minimal': False, 'source_label': '2025.1.p.c.757.2', 'source_level': 2025, 'target_conrey_index': 82, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504011961008803, 'target_is_minimal': True, 'target_label': '675.1.g.b.82.2', 'target_level': 675, 'twist_class_label': '675.1.g.b.82.1', 'twist_class_level': 675, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 1}
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id: 41391643
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008230063671273, 'source_is_minimal': False, 'source_label': '2025.1.p.c.757.2', 'source_level': 2025, 'target_conrey_index': 1432, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008230063671273, 'target_is_minimal': False, 'target_label': '2025.1.p.c.1432.1', 'target_level': 2025, 'twist_class_label': '675.1.g.b.82.1', 'twist_class_level': 675, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 1}
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id: 41391644
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008230063671273, 'source_is_minimal': False, 'source_label': '2025.1.p.c.757.2', 'source_level': 2025, 'target_conrey_index': 1243, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008230063671273, 'target_is_minimal': False, 'target_label': '2025.1.p.c.1243.2', 'target_level': 2025, 'twist_class_label': '675.1.g.b.82.1', 'twist_class_level': 675, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 1}
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id: 41391645
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008230063671273, 'source_is_minimal': False, 'source_label': '2025.1.p.c.757.2', 'source_level': 2025, 'target_conrey_index': 1243, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008230063671273, 'target_is_minimal': False, 'target_label': '2025.1.p.c.1243.1', 'target_level': 2025, 'twist_class_label': '675.1.g.b.82.1', 'twist_class_level': 675, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 1}
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id: 41391646
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008230063671273, 'source_is_minimal': False, 'source_label': '2025.1.p.c.757.2', 'source_level': 2025, 'target_conrey_index': 757, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008230063671273, 'target_is_minimal': False, 'target_label': '2025.1.p.c.757.1', 'target_level': 2025, 'twist_class_label': '675.1.g.b.82.1', 'twist_class_level': 675, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 1}
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id: 41391647
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008230063671273, 'source_is_minimal': False, 'source_label': '2025.1.p.c.757.2', 'source_level': 2025, 'target_conrey_index': 1918, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008230063671273, 'target_is_minimal': False, 'target_label': '2025.1.p.c.1918.1', 'target_level': 2025, 'twist_class_label': '675.1.g.b.82.1', 'twist_class_level': 675, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 1}
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id: 41391648
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008230063671273, 'source_is_minimal': False, 'source_label': '2025.1.p.c.757.2', 'source_level': 2025, 'target_conrey_index': 82, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011961008803, 'target_is_minimal': True, 'target_label': '675.1.g.b.82.1', 'target_level': 675, 'twist_class_label': '675.1.g.b.82.1', 'twist_class_level': 675, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 1}
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id: 41391649
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008230063671273, 'source_is_minimal': False, 'source_label': '2025.1.p.c.757.2', 'source_level': 2025, 'target_conrey_index': 1918, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008230063671273, 'target_is_minimal': False, 'target_label': '2025.1.p.c.1918.1', 'target_level': 2025, 'twist_class_label': '675.1.g.b.82.1', 'twist_class_level': 675, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 1}
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id: 41391650
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008230063671273, 'source_is_minimal': False, 'source_label': '2025.1.p.c.757.2', 'source_level': 2025, 'target_conrey_index': 568, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504011961008803, 'target_is_minimal': True, 'target_label': '675.1.g.b.568.2', 'target_level': 675, 'twist_class_label': '675.1.g.b.82.1', 'twist_class_level': 675, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 1}
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id: 41391651
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008230063671273, 'source_is_minimal': False, 'source_label': '2025.1.p.c.757.2', 'source_level': 2025, 'target_conrey_index': 82, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011961008803, 'target_is_minimal': True, 'target_label': '675.1.g.b.82.1', 'target_level': 675, 'twist_class_label': '675.1.g.b.82.1', 'twist_class_level': 675, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 1}
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id: 41391652
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008230063671273, 'source_is_minimal': False, 'source_label': '2025.1.p.c.757.2', 'source_level': 2025, 'target_conrey_index': 568, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011961008803, 'target_is_minimal': True, 'target_label': '675.1.g.b.568.1', 'target_level': 675, 'twist_class_label': '675.1.g.b.82.1', 'twist_class_level': 675, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 1}
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id: 41391653
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008230063671273, 'source_is_minimal': False, 'source_label': '2025.1.p.c.757.2', 'source_level': 2025, 'target_conrey_index': 568, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504011961008803, 'target_is_minimal': True, 'target_label': '675.1.g.b.568.2', 'target_level': 675, 'twist_class_label': '675.1.g.b.82.1', 'twist_class_level': 675, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 1}
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id: 41391654
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008230063671273, 'source_is_minimal': False, 'source_label': '2025.1.p.c.757.2', 'source_level': 2025, 'target_conrey_index': 1432, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008230063671273, 'target_is_minimal': False, 'target_label': '2025.1.p.c.1432.2', 'target_level': 2025, 'twist_class_label': '675.1.g.b.82.1', 'twist_class_level': 675, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 1}
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id: 41391655
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008230063671273, 'source_is_minimal': False, 'source_label': '2025.1.p.c.757.2', 'source_level': 2025, 'target_conrey_index': 568, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011961008803, 'target_is_minimal': True, 'target_label': '675.1.g.b.568.1', 'target_level': 675, 'twist_class_label': '675.1.g.b.82.1', 'twist_class_level': 675, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 1}
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id: 41391656
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008230063671273, 'source_is_minimal': False, 'source_label': '2025.1.p.c.757.2', 'source_level': 2025, 'target_conrey_index': 1432, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008230063671273, 'target_is_minimal': False, 'target_label': '2025.1.p.c.1432.2', 'target_level': 2025, 'twist_class_label': '675.1.g.b.82.1', 'twist_class_level': 675, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 1}
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id: 41391657
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008230063671273, 'source_is_minimal': False, 'source_label': '2025.1.p.c.757.2', 'source_level': 2025, 'target_conrey_index': 1918, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008230063671273, 'target_is_minimal': False, 'target_label': '2025.1.p.c.1918.2', 'target_level': 2025, 'twist_class_label': '675.1.g.b.82.1', 'twist_class_level': 675, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 1}
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id: 41391658
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008230063671273, 'source_is_minimal': False, 'source_label': '2025.1.p.c.757.2', 'source_level': 2025, 'target_conrey_index': 1918, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008230063671273, 'target_is_minimal': False, 'target_label': '2025.1.p.c.1918.2', 'target_level': 2025, 'twist_class_label': '675.1.g.b.82.1', 'twist_class_level': 675, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 1}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2373475
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9008230063671273, 'p': 2}
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id: 2373476
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9008230063671273, 'p': 3}
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id: 2373477
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9008230063671273, 'p': 5}
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id: 2373478
{'charpoly_factorization': [[[81, 0, 0, 0, -9, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9008230063671273, 'p': 7}
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id: 2373479
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9008230063671273, 'p': 11}
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id: 2373480
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9008230063671273, 'p': 13}
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id: 2373481
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9008230063671273, 'p': 17}
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id: 2373482
{'charpoly_factorization': [[[1, 0, 1], 4]], 'hecke_orbit_code': 9008230063671273, 'p': 19}
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id: 2373483
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9008230063671273, 'p': 23}
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id: 2373484
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9008230063671273, 'p': 29}
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id: 2373485
{'charpoly_factorization': [[[1, 1, 1], 4]], 'hecke_orbit_code': 9008230063671273, 'p': 31}
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id: 2373486
{'charpoly_factorization': [[[9, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 9008230063671273, 'p': 37}
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id: 2373487
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9008230063671273, 'p': 41}
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id: 2373488
{'charpoly_factorization': [[[81, 0, 0, 0, -9, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9008230063671273, 'p': 43}
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id: 2373489
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9008230063671273, 'p': 47}
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id: 2373490
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9008230063671273, 'p': 53}
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id: 2373491
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9008230063671273, 'p': 59}
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id: 2373492
{'charpoly_factorization': [[[1, -1, 1], 4]], 'hecke_orbit_code': 9008230063671273, 'p': 61}
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id: 2373493
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9008230063671273, 'p': 67}
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id: 2373494
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9008230063671273, 'p': 71}
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id: 2373495
{'charpoly_factorization': [[[9, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 9008230063671273, 'p': 73}
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id: 2373496
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 2]], 'hecke_orbit_code': 9008230063671273, 'p': 79}
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id: 2373497
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9008230063671273, 'p': 83}
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id: 2373498
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9008230063671273, 'p': 89}
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id: 2373499
{'charpoly_factorization': [[[81, 0, 0, 0, -9, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9008230063671273, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 16, 'hecke_orbit': 3, 'label': '2025.1.p.c', 'level': 2025, 'portrait': 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', 'weight': 1}
-
mf_hecke_traces • Show schema
Hide schema
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id: 31682377
{'hecke_orbit_code': 9008230063671273, 'n': 1, 'trace_an': 8}
-
id: 31682378
{'hecke_orbit_code': 9008230063671273, 'n': 2, 'trace_an': 0}
-
id: 31682379
{'hecke_orbit_code': 9008230063671273, 'n': 3, 'trace_an': 0}
-
id: 31682380
{'hecke_orbit_code': 9008230063671273, 'n': 4, 'trace_an': 0}
-
id: 31682381
{'hecke_orbit_code': 9008230063671273, 'n': 5, 'trace_an': 0}
-
id: 31682382
{'hecke_orbit_code': 9008230063671273, 'n': 6, 'trace_an': 0}
-
id: 31682383
{'hecke_orbit_code': 9008230063671273, 'n': 7, 'trace_an': 0}
-
id: 31682384
{'hecke_orbit_code': 9008230063671273, 'n': 8, 'trace_an': 0}
-
id: 31682385
{'hecke_orbit_code': 9008230063671273, 'n': 9, 'trace_an': 0}
-
id: 31682386
{'hecke_orbit_code': 9008230063671273, 'n': 10, 'trace_an': 0}
-
id: 31682387
{'hecke_orbit_code': 9008230063671273, 'n': 11, 'trace_an': 0}
-
id: 31682388
{'hecke_orbit_code': 9008230063671273, 'n': 12, 'trace_an': 0}
-
id: 31682389
{'hecke_orbit_code': 9008230063671273, 'n': 13, 'trace_an': 0}
-
id: 31682390
{'hecke_orbit_code': 9008230063671273, 'n': 14, 'trace_an': 0}
-
id: 31682391
{'hecke_orbit_code': 9008230063671273, 'n': 15, 'trace_an': 0}
-
id: 31682392
{'hecke_orbit_code': 9008230063671273, 'n': 16, 'trace_an': 4}
-
id: 31682393
{'hecke_orbit_code': 9008230063671273, 'n': 17, 'trace_an': 0}
-
id: 31682394
{'hecke_orbit_code': 9008230063671273, 'n': 18, 'trace_an': 0}
-
id: 31682395
{'hecke_orbit_code': 9008230063671273, 'n': 19, 'trace_an': 0}
-
id: 31682396
{'hecke_orbit_code': 9008230063671273, 'n': 20, 'trace_an': 0}
-
id: 31682397
{'hecke_orbit_code': 9008230063671273, 'n': 21, 'trace_an': 0}
-
id: 31682398
{'hecke_orbit_code': 9008230063671273, 'n': 22, 'trace_an': 0}
-
id: 31682399
{'hecke_orbit_code': 9008230063671273, 'n': 23, 'trace_an': 0}
-
id: 31682400
{'hecke_orbit_code': 9008230063671273, 'n': 24, 'trace_an': 0}
-
id: 31682401
{'hecke_orbit_code': 9008230063671273, 'n': 25, 'trace_an': 0}
-
id: 31682402
{'hecke_orbit_code': 9008230063671273, 'n': 26, 'trace_an': 0}
-
id: 31682403
{'hecke_orbit_code': 9008230063671273, 'n': 27, 'trace_an': 0}
-
id: 31682404
{'hecke_orbit_code': 9008230063671273, 'n': 28, 'trace_an': 0}
-
id: 31682405
{'hecke_orbit_code': 9008230063671273, 'n': 29, 'trace_an': 0}
-
id: 31682406
{'hecke_orbit_code': 9008230063671273, 'n': 30, 'trace_an': 0}
-
id: 31682407
{'hecke_orbit_code': 9008230063671273, 'n': 31, 'trace_an': -4}
-
id: 31682408
{'hecke_orbit_code': 9008230063671273, 'n': 32, 'trace_an': 0}
-
id: 31682409
{'hecke_orbit_code': 9008230063671273, 'n': 33, 'trace_an': 0}
-
id: 31682410
{'hecke_orbit_code': 9008230063671273, 'n': 34, 'trace_an': 0}
-
id: 31682411
{'hecke_orbit_code': 9008230063671273, 'n': 35, 'trace_an': 0}
-
id: 31682412
{'hecke_orbit_code': 9008230063671273, 'n': 36, 'trace_an': 0}
-
id: 31682413
{'hecke_orbit_code': 9008230063671273, 'n': 37, 'trace_an': 0}
-
id: 31682414
{'hecke_orbit_code': 9008230063671273, 'n': 38, 'trace_an': 0}
-
id: 31682415
{'hecke_orbit_code': 9008230063671273, 'n': 39, 'trace_an': 0}
-
id: 31682416
{'hecke_orbit_code': 9008230063671273, 'n': 40, 'trace_an': 0}
-
id: 31682417
{'hecke_orbit_code': 9008230063671273, 'n': 41, 'trace_an': 0}
-
id: 31682418
{'hecke_orbit_code': 9008230063671273, 'n': 42, 'trace_an': 0}
-
id: 31682419
{'hecke_orbit_code': 9008230063671273, 'n': 43, 'trace_an': 0}
-
id: 31682420
{'hecke_orbit_code': 9008230063671273, 'n': 44, 'trace_an': 0}
-
id: 31682421
{'hecke_orbit_code': 9008230063671273, 'n': 45, 'trace_an': 0}
-
id: 31682422
{'hecke_orbit_code': 9008230063671273, 'n': 46, 'trace_an': 0}
-
id: 31682423
{'hecke_orbit_code': 9008230063671273, 'n': 47, 'trace_an': 0}
-
id: 31682424
{'hecke_orbit_code': 9008230063671273, 'n': 48, 'trace_an': 0}
-
id: 31682425
{'hecke_orbit_code': 9008230063671273, 'n': 49, 'trace_an': 0}
-
id: 31682426
{'hecke_orbit_code': 9008230063671273, 'n': 50, 'trace_an': 0}
-
id: 31682427
{'hecke_orbit_code': 9008230063671273, 'n': 51, 'trace_an': 0}
-
id: 31682428
{'hecke_orbit_code': 9008230063671273, 'n': 52, 'trace_an': 0}
-
id: 31682429
{'hecke_orbit_code': 9008230063671273, 'n': 53, 'trace_an': 0}
-
id: 31682430
{'hecke_orbit_code': 9008230063671273, 'n': 54, 'trace_an': 0}
-
id: 31682431
{'hecke_orbit_code': 9008230063671273, 'n': 55, 'trace_an': 0}
-
id: 31682432
{'hecke_orbit_code': 9008230063671273, 'n': 56, 'trace_an': 0}
-
id: 31682433
{'hecke_orbit_code': 9008230063671273, 'n': 57, 'trace_an': 0}
-
id: 31682434
{'hecke_orbit_code': 9008230063671273, 'n': 58, 'trace_an': 0}
-
id: 31682435
{'hecke_orbit_code': 9008230063671273, 'n': 59, 'trace_an': 0}
-
id: 31682436
{'hecke_orbit_code': 9008230063671273, 'n': 60, 'trace_an': 0}
-
id: 31682437
{'hecke_orbit_code': 9008230063671273, 'n': 61, 'trace_an': 4}
-
id: 31682438
{'hecke_orbit_code': 9008230063671273, 'n': 62, 'trace_an': 0}
-
id: 31682439
{'hecke_orbit_code': 9008230063671273, 'n': 63, 'trace_an': 0}
-
id: 31682440
{'hecke_orbit_code': 9008230063671273, 'n': 64, 'trace_an': 0}
-
id: 31682441
{'hecke_orbit_code': 9008230063671273, 'n': 65, 'trace_an': 0}
-
id: 31682442
{'hecke_orbit_code': 9008230063671273, 'n': 66, 'trace_an': 0}
-
id: 31682443
{'hecke_orbit_code': 9008230063671273, 'n': 67, 'trace_an': 0}
-
id: 31682444
{'hecke_orbit_code': 9008230063671273, 'n': 68, 'trace_an': 0}
-
id: 31682445
{'hecke_orbit_code': 9008230063671273, 'n': 69, 'trace_an': 0}
-
id: 31682446
{'hecke_orbit_code': 9008230063671273, 'n': 70, 'trace_an': 0}
-
id: 31682447
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