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mf_newforms • Show schema
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{'Nk2': 720, 'analytic_conductor': 2.6550859502583277, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 12, 'char_parity': 1, 'char_values': [45, 12, [11, 37], [2, 3]], 'cm_discs': [], 'conrey_index': 2, 'conrey_indexes': [2, 23, 32, 38], 'dim': 64, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 755981353005, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 3, -1, 4, 0], [1, 1, 9, 4, -1, 6, 0], [1, 1, 45, 12, 1, 12, 0]], 'is_cm': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '45.4.l.a', 'level': 45, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '45.4.l.a', 'prim_orbit_index': 12, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 720, 'analytic_conductor': 2.6550859502583277, 'char_conductor': 45, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 12, 'char_parity': 1, 'char_values': [45, 12, [11, 37], [2, 3]], 'conrey_index': 2, 'cusp_dim': 64, 'dim': 64, 'eis_dim': 16, 'eis_new_dim': 16, 'hecke_cutter_primes': [], 'hecke_orbit_code': 755981353005, 'hecke_orbit_dims': [64], 'label': '45.4.l', 'level': 45, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 80, 'mf_new_dim': 80, 'num_forms': 1, 'prim_orbit_index': 12, 'relative_dim': 16, 'sturm_bound': 24, 'trace_bound': 0, 'trace_display': [-6, 0, -6, -2], 'traces': [64, -6, 0, 0, -6, -24, -2, 0, 0, -8, -36, -138, -2, 0, -96, 316, 0, -480, 0, 378, 480, -34, 306, 0, -146, 0, 180, -232, 0, -1170, -4, -1770, -294, 0, 0, -216, 136, 114, 0, 126, 1992, 1698, -2, 0, 1134, -952, 3462, 4326, 0, 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mf_twists_cc • Show schema
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id: 9750641
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 2, 'source_dim': 64, 'source_embedding_index': 15, 'source_hecke_orbit_code': 755981353005, 'source_is_minimal': True, 'source_label': '45.4.l.a.2.15', 'source_level': 45, 'target_conrey_index': 2, 'target_dim': 64, 'target_embedding_index': 15, 'target_hecke_orbit_code': 755981353005, 'target_is_minimal': True, 'target_label': '45.4.l.a.2.15', 'target_level': 45, 'twist_class_label': '45.4.l.a.2.15', 'twist_class_level': 45, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 9750642
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2, 'source_dim': 64, 'source_embedding_index': 15, 'source_hecke_orbit_code': 755981353005, 'source_is_minimal': True, 'source_label': '45.4.l.a.2.15', 'source_level': 45, 'target_conrey_index': 62, 'target_dim': 64, 'target_embedding_index': 2, 'target_hecke_orbit_code': 824700829831, 'target_is_minimal': False, 'target_label': '135.4.m.a.62.2', 'target_level': 135, 'twist_class_label': '45.4.l.a.2.15', 'twist_class_level': 45, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 9750643
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 2, 'source_dim': 64, 'source_embedding_index': 15, 'source_hecke_orbit_code': 755981353005, 'source_is_minimal': True, 'source_label': '45.4.l.a.2.15', 'source_level': 45, 'target_conrey_index': 218, 'target_dim': 64, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504630486630625, 'target_is_minimal': False, 'target_label': '225.4.p.b.218.2', 'target_level': 225, 'twist_class_label': '45.4.l.a.2.15', 'twist_class_level': 45, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 9750644
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 2, 'source_dim': 64, 'source_embedding_index': 15, 'source_hecke_orbit_code': 755981353005, 'source_is_minimal': True, 'source_label': '45.4.l.a.2.15', 'source_level': 45, 'target_conrey_index': 38, 'target_dim': 64, 'target_embedding_index': 15, 'target_hecke_orbit_code': 755981353005, 'target_is_minimal': True, 'target_label': '45.4.l.a.38.15', 'target_level': 45, 'twist_class_label': '45.4.l.a.2.15', 'twist_class_level': 45, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 9750645
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 2, 'source_dim': 64, 'source_embedding_index': 15, 'source_hecke_orbit_code': 755981353005, 'source_is_minimal': True, 'source_label': '45.4.l.a.2.15', 'source_level': 45, 'target_conrey_index': 182, 'target_dim': 64, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504630486630625, 'target_is_minimal': False, 'target_label': '225.4.p.b.182.2', 'target_level': 225, 'twist_class_label': '45.4.l.a.2.15', 'twist_class_level': 45, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 9750646
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 2, 'source_dim': 64, 'source_embedding_index': 15, 'source_hecke_orbit_code': 755981353005, 'source_is_minimal': True, 'source_label': '45.4.l.a.2.15', 'source_level': 45, 'target_conrey_index': 17, 'target_dim': 64, 'target_embedding_index': 2, 'target_hecke_orbit_code': 824700829831, 'target_is_minimal': False, 'target_label': '135.4.m.a.17.2', 'target_level': 135, 'twist_class_label': '45.4.l.a.2.15', 'twist_class_level': 45, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 9750647
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2, 'source_dim': 64, 'source_embedding_index': 15, 'source_hecke_orbit_code': 755981353005, 'source_is_minimal': True, 'source_label': '45.4.l.a.2.15', 'source_level': 45, 'target_conrey_index': 32, 'target_dim': 64, 'target_embedding_index': 15, 'target_hecke_orbit_code': 755981353005, 'target_is_minimal': True, 'target_label': '45.4.l.a.32.15', 'target_level': 45, 'twist_class_label': '45.4.l.a.2.15', 'twist_class_level': 45, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 9750648
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 2, 'source_dim': 64, 'source_embedding_index': 15, 'source_hecke_orbit_code': 755981353005, 'source_is_minimal': True, 'source_label': '45.4.l.a.2.15', 'source_level': 45, 'target_conrey_index': 8, 'target_dim': 64, 'target_embedding_index': 2, 'target_hecke_orbit_code': 824700829831, 'target_is_minimal': False, 'target_label': '135.4.m.a.8.2', 'target_level': 135, 'twist_class_label': '45.4.l.a.2.15', 'twist_class_level': 45, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 4}
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id: 9750649
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 2, 'source_dim': 64, 'source_embedding_index': 15, 'source_hecke_orbit_code': 755981353005, 'source_is_minimal': True, 'source_label': '45.4.l.a.2.15', 'source_level': 45, 'target_conrey_index': 98, 'target_dim': 64, 'target_embedding_index': 2, 'target_hecke_orbit_code': 824700829831, 'target_is_minimal': False, 'target_label': '135.4.m.a.98.2', 'target_level': 135, 'twist_class_label': '45.4.l.a.2.15', 'twist_class_level': 45, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 9750650
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2, 'source_dim': 64, 'source_embedding_index': 15, 'source_hecke_orbit_code': 755981353005, 'source_is_minimal': True, 'source_label': '45.4.l.a.2.15', 'source_level': 45, 'target_conrey_index': 32, 'target_dim': 64, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504630486630625, 'target_is_minimal': False, 'target_label': '225.4.p.b.32.2', 'target_level': 225, 'twist_class_label': '45.4.l.a.2.15', 'twist_class_level': 45, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 9750651
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 2, 'source_dim': 64, 'source_embedding_index': 15, 'source_hecke_orbit_code': 755981353005, 'source_is_minimal': True, 'source_label': '45.4.l.a.2.15', 'source_level': 45, 'target_conrey_index': 23, 'target_dim': 64, 'target_embedding_index': 15, 'target_hecke_orbit_code': 755981353005, 'target_is_minimal': True, 'target_label': '45.4.l.a.23.15', 'target_level': 45, 'twist_class_label': '45.4.l.a.2.15', 'twist_class_level': 45, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 9750652
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 2, 'source_dim': 64, 'source_embedding_index': 15, 'source_hecke_orbit_code': 755981353005, 'source_is_minimal': True, 'source_label': '45.4.l.a.2.15', 'source_level': 45, 'target_conrey_index': 68, 'target_dim': 64, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504630486630625, 'target_is_minimal': False, 'target_label': '225.4.p.b.68.2', 'target_level': 225, 'twist_class_label': '45.4.l.a.2.15', 'twist_class_level': 45, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 4}
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hecke_orbit_code 755981353005 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 12, 'hecke_orbit': 1, 'label': '45.4.l.a', 'level': 45, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 42782000
{'hecke_orbit_code': 755981353005, 'n': 1, 'trace_an': 64}
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id: 42782001
{'hecke_orbit_code': 755981353005, 'n': 2, 'trace_an': -6}
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id: 42782002
{'hecke_orbit_code': 755981353005, 'n': 3, 'trace_an': 0}
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id: 42782003
{'hecke_orbit_code': 755981353005, 'n': 4, 'trace_an': 0}
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id: 42782004
{'hecke_orbit_code': 755981353005, 'n': 5, 'trace_an': -6}
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id: 42782005
{'hecke_orbit_code': 755981353005, 'n': 6, 'trace_an': -24}
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id: 42782006
{'hecke_orbit_code': 755981353005, 'n': 7, 'trace_an': -2}
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id: 42782007
{'hecke_orbit_code': 755981353005, 'n': 8, 'trace_an': 0}
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id: 42782008
{'hecke_orbit_code': 755981353005, 'n': 9, 'trace_an': 0}
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id: 42782009
{'hecke_orbit_code': 755981353005, 'n': 10, 'trace_an': -8}
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id: 42782010
{'hecke_orbit_code': 755981353005, 'n': 11, 'trace_an': -36}
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id: 42782011
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{'hecke_orbit_code': 755981353005, 'n': 999, 'trace_an': 0}
-
id: 42782999
{'hecke_orbit_code': 755981353005, 'n': 1000, 'trace_an': -268284}