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mf_newforms • Show schema
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{'Nk2': 180, 'analytic_conductor': 0.3593268090957617, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 15, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 4, 'char_parity': 1, 'char_values': [45, 4, [11, 37], [2, 3]], 'cm_discs': [], 'conrey_index': 8, 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 343630938157, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 5, 3, -1, 4, 0], [1, 1, 15, 5, 1, 4, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 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mf_hecke_cc • Show schema
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'char_orbit_index': 6, 'conrey_index': 8, 'dual_conrey_index': 17, 'dual_embedding_index': 2, 'dual_embedding_m': 4, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.7071067811865476, 'embedding_root_real': 0.7071067811865476, 'hecke_orbit': 1, 'hecke_orbit_code': 343630938157, 'label': '45.2.f.a.8.2', 'level': 45, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 180, 'analytic_conductor': 0.3593268090957617, 'char_conductor': 15, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 4, 'char_parity': 1, 'char_values': [45, 4, [11, 37], [2, 3]], 'conrey_index': 8, 'cusp_dim': 4, 'dim': 4, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 343630938157, 'hecke_orbit_dims': [4], 'label': '45.2.f', 'level': 45, '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': [3, 5], 'level_radical': 15, 'mf_dim': 20, 'mf_new_dim': 4, 'num_forms': 1, 'prim_orbit_index': 5, 'relative_dim': 2, 'sturm_bound': 12, 'trace_bound': 0, 'trace_display': [0, 0, 0, -8], 'traces': [4, 0, 0, 0, 0, 0, -8, 0, 0, -8, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 8, 0, 0, 16, 0, 0, 8, 0, 0, -16, 0, 0, 0, 0, 0, 4, 0, 0, -12, 0, 0, -32, 0, 0, -16, 0, 0, 0, 0, 0, 4, 0, 0, 8, 0, 0, 12, 0, 0, 32, 0, 0, 0, 0, 0, 16, 0, 0, 24, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -32, 0, 0, -24, 0, 0, -16, 0, 0, 0, 0, 0, -44, 0, 0, -12, 0, 0, 40, 0, 0, -16, 0, 0, 0, 0, 0, -8, 0, 0, 16, 0, 0, 24, 0, 0, 12, 0, 0, 0, 0, 0, 40, 0, 0, -4, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -16, 0, 0, -36, 0, 0, -4, 0, 0, 32, 0, 0, 0, 0, 0, -20, 0, 0, 40, 0, 0, -32, 0, 0, -16, 0, 0, 0, 0, 0, -32, 0, 0, -8, 0, 0, -36, 0, 0, -64, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 44, 0, 0, -4, 0, 0, 4, 0, 0, -16, 0, 0, 0, 0, 0, 32, 0, 0, 24, 0, 0, 40, 0, 0, 56, 0, 0, 0, 0, 0, 36, 0, 0, 64, 0, 0, -32, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 32, 0, 0, -68, 0, 0, 0, 0, 0, -40, 0, 0, 16, 0, 0, -16, 0, 0, -64, 0, 0, 0, 0, 0, -44, 0, 0, -24, 0, 0, -32, 0, 0, 16, 0, 0, 0, 0, 0, 4, 0, 0, -72, 0, 0, -12, 0, 0, 128, 0, 0, 0, 0, 0, -32, 0, 0, 32, 0, 0, 76, 0, 0, 48, 0, 0, 0, 0, 0, 32, 0, 0, 28, 0, 0, 12, 0, 0, 32, 0, 0, 0, 0, 0, -20, 0, 0, -16, 0, 0, -48, 0, 0, 56, 0, 0, 0, 0, 0, -40, 0, 0, -16, 0, 0, 72, 0, 0, 76, 0, 0, 0, 0, 0, -8, 0, 0, -12, 0, 0, -68, 0, 0, -96, 0, 0, 0, 0, 0, -64, 0, 0, -64, 0, 0, 44, 0, 0, -64, 0, 0, 0, 0, 0, 76, 0, 0, 16, 0, 0, -16, 0, 0, -48, 0, 0, 0, 0, 0, 40, 0, 0, 16, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -64, 0, 0, 32, 0, 0, -68, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 108, 0, 0, 56, 0, 0, 16, 0, 0, 0, 0, 0, 100, 0, 0, -32, 0, 0, 40, 0, 0, -16, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -48, 0, 0, 8, 0, 0, 0, 0, 0, 40, 0, 0, -4, 0, 0, 48, 0, 0, -16, 0, 0, 0, 0, 0, 56, 0, 0, 44, 0, 0, -40, 0, 0, -16, 0, 0, 0, 0, 0, -64, 0, 0, -36, 0, 0, -32, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, -36, 0, 0, -64, 0, 0, 0, 0, 0, -80, 0, 0, 8, 0, 0, -96, 0, 0, -48, 0, 0, 0, 0, 0, -28, 0, 0, -56, 0, 0, 48, 0, 0, 128, 0, 0, 0, 0, 0, -68, 0, 0, 12, 0, 0, 32, 0, 0, 56, 0, 0, 0, 0, 0, 4, 0, 0, 96, 0, 0, -16, 0, 0, 32, 0, 0, 0, 0, 0, 88, 0, 0, -64, 0, 0, 4, 0, 0, 96, 0, 0, 0, 0, 0, 32, 0, 0, 28, 0, 0, 20, 0, 0, 80, 0, 0, 0, 0, 0, 4, 0, 0, 12, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, -40, 0, 0, 64, 0, 0, -160, 0, 0, 0, 0, 0, -48, 0, 0, -48, 0, 0, 4, 0, 0, -44, 0, 0, 0, 0, 0, -32, 0, 0, -80, 0, 0, -32, 0, 0, 32, 0, 0, 0, 0, 0, -16, 0, 0, 56, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -108, 0, 0, -16, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, -8, 0, 0, -4, 0, 0, 4, 0, 0, 80, 0, 0, 0, 0, 0, 32, 0, 0, 36, 0, 0, -32, 0, 0, -16, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 4, 0, 0, -64, 0, 0, 12, 0, 0, 64, 0, 0, 0, 0, 0, 16, 0, 0, 48, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 32, 0, 0, -132, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 40, 0, 0, -96, 0, 0, 0, 0, 0, 28, 0, 0, 160, 0, 0, 24, 0, 0, -44, 0, 0, 0, 0, 0, -24, 0, 0, 48, 0, 0, -68, 0, 0, 48, 0, 0, 0, 0, 0, -16, 0, 0, -56, 0, 0, -32, 0, 0, 32, 0, 0, 0, 0, 0, 52, 0, 0, 8, 0, 0, -32, 0, 0, -160, 0, 0, 0, 0, 0, 40, 0, 0, -216, 0, 0, -36, 0, 0, -64, 0, 0, 0, 0, 0, -80, 0, 0, 32, 0, 0, 32, 0, 0, 24, 0, 0, 0, 0, 0, -28, 0, 0, 4, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 148, 0, 0, 32, 0, 0, -16, 0, 0, -128, 0, 0, 0, 0, 0, -96, 0, 0, -64, 0, 0, 48, 0, 0, -60, 0, 0, 0, 0, 0, 88, 0, 0, 132, 0, 0, 96, 0, 0, 32, 0, 0, 0, 0, 0, -40, 0, 0, 112, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 100, 0, 0, 24], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 3175337
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 8, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343630938157, 'target_is_minimal': True, 'target_label': '45.2.f.a.8.2', 'target_level': 45, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 3175338
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 8, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343630938157, 'target_is_minimal': True, 'target_label': '45.2.f.a.8.1', 'target_level': 45, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3175339
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 593, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512310744154832, 'target_is_minimal': False, 'target_label': '720.2.w.d.593.1', 'target_level': 720, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 3175340
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 17, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343630938157, 'target_is_minimal': True, 'target_label': '45.2.f.a.17.1', 'target_level': 45, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3175341
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 107, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343630938337, 'target_is_minimal': False, 'target_label': '225.2.f.a.107.2', 'target_level': 225, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 3175342
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 143, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343630938337, 'target_is_minimal': False, 'target_label': '225.2.f.a.143.1', 'target_level': 225, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 3175343
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 2753, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45037508135750464, 'target_is_minimal': False, 'target_label': '2880.2.w.k.2753.2', 'target_level': 2880, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 3175344
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 2753, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505111489416000, 'target_is_minimal': False, 'target_label': '2880.2.w.b.2753.2', 'target_level': 2880, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 3175345
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 53, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 824667275669, 'target_is_minimal': False, 'target_label': '405.2.m.a.53.1', 'target_level': 405, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3175346
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 188, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 824667275669, 'target_is_minimal': False, 'target_label': '405.2.m.a.188.1', 'target_level': 405, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 3175347
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 188, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 824667275669, 'target_is_minimal': False, 'target_label': '405.2.m.a.188.2', 'target_level': 405, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 3175348
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 53, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 824667275669, 'target_is_minimal': False, 'target_label': '405.2.m.a.53.2', 'target_level': 405, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 3175349
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 593, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512310744154832, 'target_is_minimal': False, 'target_label': '720.2.w.d.593.2', 'target_level': 720, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 3175350
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 17, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343630938157, 'target_is_minimal': True, 'target_label': '45.2.f.a.17.2', 'target_level': 45, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3175351
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 107, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343630938337, 'target_is_minimal': False, 'target_label': '225.2.f.a.107.1', 'target_level': 225, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 3175352
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 143, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343630938337, 'target_is_minimal': False, 'target_label': '225.2.f.a.143.2', 'target_level': 225, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 3175353
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 1457, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505111489416720, 'target_is_minimal': False, 'target_label': '3600.2.w.b.1457.2', 'target_level': 3600, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 3175354
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 17, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512310744154832, 'target_is_minimal': False, 'target_label': '720.2.w.d.17.2', 'target_level': 720, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 3175355
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 593, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505111489416720, 'target_is_minimal': False, 'target_label': '3600.2.w.b.593.2', 'target_level': 3600, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 3175356
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 2753, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505111489416000, 'target_is_minimal': False, 'target_label': '2880.2.w.b.2753.1', 'target_level': 2880, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 3175357
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 2753, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45037508135750464, 'target_is_minimal': False, 'target_label': '2880.2.w.k.2753.1', 'target_level': 2880, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 3175358
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 2177, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45037508135750464, 'target_is_minimal': False, 'target_label': '2880.2.w.k.2177.1', 'target_level': 2880, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '40.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 3175359
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 2177, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505111489416000, 'target_is_minimal': False, 'target_label': '2880.2.w.b.2177.1', 'target_level': 2880, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '40.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 3175360
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 377, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 824667275669, 'target_is_minimal': False, 'target_label': '405.2.m.a.377.1', 'target_level': 405, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3175361
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 377, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 824667275669, 'target_is_minimal': False, 'target_label': '405.2.m.a.377.2', 'target_level': 405, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 3175362
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 107, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 824667275669, 'target_is_minimal': False, 'target_label': '405.2.m.a.107.1', 'target_level': 405, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 3175363
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 107, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 824667275669, 'target_is_minimal': False, 'target_label': '405.2.m.a.107.2', 'target_level': 405, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 3175364
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 1457, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505111489416720, 'target_is_minimal': False, 'target_label': '3600.2.w.b.1457.1', 'target_level': 3600, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 3175365
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 17, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512310744154832, 'target_is_minimal': False, 'target_label': '720.2.w.d.17.1', 'target_level': 720, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 3175366
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 593, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505111489416720, 'target_is_minimal': False, 'target_label': '3600.2.w.b.593.1', 'target_level': 3600, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 3175367
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 2177, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505111489416000, 'target_is_minimal': False, 'target_label': '2880.2.w.b.2177.2', 'target_level': 2880, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '120.77', 'twisting_conrey_index': 77, 'weight': 2}
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id: 3175368
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 8, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343630938157, 'source_is_minimal': True, 'source_label': '45.2.f.a.8.2', 'source_level': 45, 'target_conrey_index': 2177, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45037508135750464, 'target_is_minimal': False, 'target_label': '2880.2.w.k.2177.2', 'target_level': 2880, 'twist_class_label': '45.2.f.a.8.1', 'twist_class_level': 45, 'twisting_char_label': '120.107', 'twisting_conrey_index': 107, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 149975
{'charpoly_factorization': [[[1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 343630938157, 'p': 2}
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id: 149976
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 343630938157, 'p': 3}
-
id: 149977
{'charpoly_factorization': [[[25, 0, -8, 0, 1], 1]], 'hecke_orbit_code': 343630938157, 'p': 5}
-
id: 149978
{'charpoly_factorization': [[[8, 4, 1], 2]], 'hecke_orbit_code': 343630938157, 'p': 7}
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id: 149979
{'charpoly_factorization': [[[8, 0, 1], 2]], 'hecke_orbit_code': 343630938157, 'p': 11}
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id: 149980
{'charpoly_factorization': [[[2, -2, 1], 2]], 'hecke_orbit_code': 343630938157, 'p': 13}
-
id: 149981
{'charpoly_factorization': [[[256, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 343630938157, 'p': 17}
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id: 149982
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 343630938157, 'p': 19}
-
id: 149983
{'charpoly_factorization': [[[256, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 343630938157, 'p': 23}
-
id: 149984
{'charpoly_factorization': [[[-18, 0, 1], 2]], 'hecke_orbit_code': 343630938157, 'p': 29}
-
id: 149985
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 343630938157, 'p': 31}
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id: 149986
{'charpoly_factorization': [[[2, -2, 1], 2]], 'hecke_orbit_code': 343630938157, 'p': 37}
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id: 149987
{'charpoly_factorization': [[[2, 0, 1], 2]], 'hecke_orbit_code': 343630938157, 'p': 41}
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id: 149988
{'charpoly_factorization': [[[128, 16, 1], 2]], 'hecke_orbit_code': 343630938157, 'p': 43}
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id: 149989
{'charpoly_factorization': [[[4096, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 343630938157, 'p': 47}
-
id: 149990
{'charpoly_factorization': [[[256, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 343630938157, 'p': 53}
-
id: 149991
{'charpoly_factorization': [[[-72, 0, 1], 2]], 'hecke_orbit_code': 343630938157, 'p': 59}
-
id: 149992
{'charpoly_factorization': [[[-8, 1], 4]], 'hecke_orbit_code': 343630938157, 'p': 61}
-
id: 149993
{'charpoly_factorization': [[[32, -8, 1], 2]], 'hecke_orbit_code': 343630938157, 'p': 67}
-
id: 149994
{'charpoly_factorization': [[[32, 0, 1], 2]], 'hecke_orbit_code': 343630938157, 'p': 71}
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id: 149995
{'charpoly_factorization': [[[2, -2, 1], 2]], 'hecke_orbit_code': 343630938157, 'p': 73}
-
id: 149996
{'charpoly_factorization': [[[144, 0, 1], 2]], 'hecke_orbit_code': 343630938157, 'p': 79}
-
id: 149997
{'charpoly_factorization': [[[256, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 343630938157, 'p': 83}
-
id: 149998
{'charpoly_factorization': [[[-162, 0, 1], 2]], 'hecke_orbit_code': 343630938157, 'p': 89}
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id: 149999
{'charpoly_factorization': [[[242, 22, 1], 2]], 'hecke_orbit_code': 343630938157, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 1, 'label': '45.2.f.a', 'level': 45, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 8118810
{'hecke_orbit_code': 343630938157, 'n': 1, 'trace_an': 4}
-
id: 8118811
{'hecke_orbit_code': 343630938157, 'n': 2, 'trace_an': 0}
-
id: 8118812
{'hecke_orbit_code': 343630938157, 'n': 3, 'trace_an': 0}
-
id: 8118813
{'hecke_orbit_code': 343630938157, 'n': 4, 'trace_an': 0}
-
id: 8118814
{'hecke_orbit_code': 343630938157, 'n': 5, 'trace_an': 0}
-
id: 8118815
{'hecke_orbit_code': 343630938157, 'n': 6, 'trace_an': 0}
-
id: 8118816
{'hecke_orbit_code': 343630938157, 'n': 7, 'trace_an': -8}
-
id: 8118817
{'hecke_orbit_code': 343630938157, 'n': 8, 'trace_an': 0}
-
id: 8118818
{'hecke_orbit_code': 343630938157, 'n': 9, 'trace_an': 0}
-
id: 8118819
{'hecke_orbit_code': 343630938157, 'n': 10, 'trace_an': -8}
-
id: 8118820
{'hecke_orbit_code': 343630938157, 'n': 11, 'trace_an': 0}
-
id: 8118821
{'hecke_orbit_code': 343630938157, 'n': 12, 'trace_an': 0}
-
id: 8118822
{'hecke_orbit_code': 343630938157, 'n': 13, 'trace_an': 4}
-
id: 8118823
{'hecke_orbit_code': 343630938157, 'n': 14, 'trace_an': 0}
-
id: 8118824
{'hecke_orbit_code': 343630938157, 'n': 15, 'trace_an': 0}
-
id: 8118825
{'hecke_orbit_code': 343630938157, 'n': 16, 'trace_an': 4}
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id: 8118826
{'hecke_orbit_code': 343630938157, 'n': 17, 'trace_an': 0}
-
id: 8118827
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id: 8119037
{'hecke_orbit_code': 343630938157, 'n': 809, 'trace_an': 0}
-
id: 8119038
{'hecke_orbit_code': 343630938157, 'n': 811, 'trace_an': 80}
-
id: 8119039
{'hecke_orbit_code': 343630938157, 'n': 821, 'trace_an': 0}
-
id: 8119040
{'hecke_orbit_code': 343630938157, 'n': 823, 'trace_an': 40}
-
id: 8119041
{'hecke_orbit_code': 343630938157, 'n': 827, 'trace_an': 0}
-
id: 8119042
{'hecke_orbit_code': 343630938157, 'n': 829, 'trace_an': 0}
-
id: 8119043
{'hecke_orbit_code': 343630938157, 'n': 839, 'trace_an': 0}
-
id: 8119044
{'hecke_orbit_code': 343630938157, 'n': 841, 'trace_an': -44}
-
id: 8119045
{'hecke_orbit_code': 343630938157, 'n': 853, 'trace_an': -68}
-
id: 8119046
{'hecke_orbit_code': 343630938157, 'n': 857, 'trace_an': 0}
-
id: 8119047
{'hecke_orbit_code': 343630938157, 'n': 859, 'trace_an': 0}
-
id: 8119048
{'hecke_orbit_code': 343630938157, 'n': 863, 'trace_an': 0}
-
id: 8119049
{'hecke_orbit_code': 343630938157, 'n': 877, 'trace_an': 52}
-
id: 8119050
{'hecke_orbit_code': 343630938157, 'n': 881, 'trace_an': 0}
-
id: 8119051
{'hecke_orbit_code': 343630938157, 'n': 883, 'trace_an': -32}
-
id: 8119052
{'hecke_orbit_code': 343630938157, 'n': 887, 'trace_an': 0}
-
id: 8119053
{'hecke_orbit_code': 343630938157, 'n': 907, 'trace_an': -80}
-
id: 8119054
{'hecke_orbit_code': 343630938157, 'n': 911, 'trace_an': 0}
-
id: 8119055
{'hecke_orbit_code': 343630938157, 'n': 919, 'trace_an': 0}
-
id: 8119056
{'hecke_orbit_code': 343630938157, 'n': 929, 'trace_an': 0}
-
id: 8119057
{'hecke_orbit_code': 343630938157, 'n': 937, 'trace_an': 148}
-
id: 8119058
{'hecke_orbit_code': 343630938157, 'n': 941, 'trace_an': 0}
-
id: 8119059
{'hecke_orbit_code': 343630938157, 'n': 947, 'trace_an': 0}
-
id: 8119060
{'hecke_orbit_code': 343630938157, 'n': 953, 'trace_an': 0}
-
id: 8119061
{'hecke_orbit_code': 343630938157, 'n': 961, 'trace_an': -60}
-
id: 8119062
{'hecke_orbit_code': 343630938157, 'n': 967, 'trace_an': 88}
-
id: 8119063
{'hecke_orbit_code': 343630938157, 'n': 971, 'trace_an': 0}
-
id: 8119064
{'hecke_orbit_code': 343630938157, 'n': 977, 'trace_an': 0}
-
id: 8119065
{'hecke_orbit_code': 343630938157, 'n': 983, 'trace_an': 0}
-
id: 8119066
{'hecke_orbit_code': 343630938157, 'n': 991, 'trace_an': -64}
-
id: 8119067
{'hecke_orbit_code': 343630938157, 'n': 997, 'trace_an': 100}