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mf_newforms • Show schema
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{'Nk2': 900, 'analytic_conductor': 1.7966340454788086, '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': [225, 4, [101, 127], [2, 1]], 'cm_discs': [], 'conrey_index': 107, 'conrey_indexes': [107, 143], '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': [[2, [1, 0, 0, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 343630938337, '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, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 900, 'analytic_conductor': 1.7966340454788086, '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': [225, 4, [101, 127], [2, 1]], 'conrey_index': 107, 'cusp_dim': 36, 'dim': 12, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 343630938337, 'hecke_orbit_dims': [4, 8], 'label': '225.2.f', 'level': 225, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 84, 'mf_new_dim': 12, 'num_forms': 2, 'prim_orbit_index': 5, 'relative_dim': 6, 'sturm_bound': 60, 'trace_bound': 1, 'trace_display': [0, 0, 0, 8], 'traces': [12, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -4, 0, 0, -28, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -8, 0, 0, -8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 32, 0, 0, 32, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -12, 0, 0, -24, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -4, 0, 0, 160, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 24, 0, 0, -88, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -40, 0, 0, -208, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -24, 0, 0, -44, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 4, 0, 0, 136, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 32, 0, 0, 32, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 36, 0, 0, 88, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -4, 0, 0, -132, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, -4, 0, 0, 72, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -40, 0, 0, -232, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, -324, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 16, 0, 0, 48, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 32, 0, 0, 448, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 12, 0, 0, 104, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -76, 0, 0, -16, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -12, 0, 0, -144, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 48, 0, 0, 8, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -72, 0, 0, 28, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 68, 0, 0, 192, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -44, 0, 0, -112, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 16, 0, 0, 96, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 68, 0, 0, -160, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -56, 0, 0, -272, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -40, 0, 0, 272, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 48, 0, 0, -136, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -48, 0, 0, -48, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 40, 0, 0, 32, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 32, 0, 0, 272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, -72, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 96, 0, 0, 16, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, -48, 0, 0, 264, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, -32, 0, 0, 8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 16, 0, 0, 376, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, -4, 0, 0, -192, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -20, 0, 0, 360, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -112, 0, 0, -240, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -64, 0, 0, -320, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -4, 0, 0, -492, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 32, 0, 0, -224, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, -448, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -4, 0, 0, 80, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 32, 0, 0, 352, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -12, 0, 0, 352, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -32, 0, 0, 800, 0, 0, 0, 0, 0, -68, 0, 0, 0, 0, 0, 132, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, -528, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, -24, 0, 0, -132, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 68, 0, 0, 624, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 32, 0, 0, -184, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 32, 0, 0, -640, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 36, 0, 0, 128, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -32, 0, 0, -8, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 60, 0, 0, 160, 0, 0, 0, 0, 0, -148, 0, 0, 0, 0, 0, 16, 0, 0, 16, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -48, 0, 0, -300, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, -96, 0, 0, 256, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, -100, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 3184809
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 3184810
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3184811
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 3184812
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3184813
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 3184814
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 3184815
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 3184816
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3184817
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 3184818
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 3184819
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 3184820
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 3184821
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 3184822
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '40.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 3184823
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '40.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 3184824
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '40.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 3184825
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '40.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 3184826
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 3184827
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 3184828
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 3184829
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 3184830
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 3184831
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 3184832
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 3184833
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 3184834
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 3184835
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 3184836
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 3184837
{'conductor': 120, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '120.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 3184838
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '120.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 3184839
{'conductor': 120, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '120.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 3184840
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 343630938337, 'source_is_minimal': False, 'source_label': '225.2.f.a.143.1', 'source_level': 225, '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': '120.83', 'twisting_conrey_index': 83, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 538025
{'charpoly_factorization': [[[1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 343630938337, 'p': 2}
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id: 538026
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 343630938337, 'p': 3}
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id: 538027
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 343630938337, 'p': 5}
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id: 538028
{'charpoly_factorization': [[[8, -4, 1], 2]], 'hecke_orbit_code': 343630938337, 'p': 7}
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id: 538029
{'charpoly_factorization': [[[8, 0, 1], 2]], 'hecke_orbit_code': 343630938337, 'p': 11}
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id: 538030
{'charpoly_factorization': [[[2, 2, 1], 2]], 'hecke_orbit_code': 343630938337, 'p': 13}
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id: 538031
{'charpoly_factorization': [[[256, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 343630938337, 'p': 17}
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id: 538032
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 343630938337, 'p': 19}
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id: 538033
{'charpoly_factorization': [[[256, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 343630938337, 'p': 23}
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id: 538034
{'charpoly_factorization': [[[-18, 0, 1], 2]], 'hecke_orbit_code': 343630938337, 'p': 29}
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id: 538035
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 343630938337, 'p': 31}
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id: 538036
{'charpoly_factorization': [[[2, 2, 1], 2]], 'hecke_orbit_code': 343630938337, 'p': 37}
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id: 538037
{'charpoly_factorization': [[[2, 0, 1], 2]], 'hecke_orbit_code': 343630938337, 'p': 41}
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id: 538038
{'charpoly_factorization': [[[128, -16, 1], 2]], 'hecke_orbit_code': 343630938337, 'p': 43}
-
id: 538039
{'charpoly_factorization': [[[4096, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 343630938337, 'p': 47}
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id: 538040
{'charpoly_factorization': [[[256, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 343630938337, 'p': 53}
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id: 538041
{'charpoly_factorization': [[[-72, 0, 1], 2]], 'hecke_orbit_code': 343630938337, 'p': 59}
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id: 538042
{'charpoly_factorization': [[[-8, 1], 4]], 'hecke_orbit_code': 343630938337, 'p': 61}
-
id: 538043
{'charpoly_factorization': [[[32, 8, 1], 2]], 'hecke_orbit_code': 343630938337, 'p': 67}
-
id: 538044
{'charpoly_factorization': [[[32, 0, 1], 2]], 'hecke_orbit_code': 343630938337, 'p': 71}
-
id: 538045
{'charpoly_factorization': [[[2, 2, 1], 2]], 'hecke_orbit_code': 343630938337, 'p': 73}
-
id: 538046
{'charpoly_factorization': [[[144, 0, 1], 2]], 'hecke_orbit_code': 343630938337, 'p': 79}
-
id: 538047
{'charpoly_factorization': [[[256, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 343630938337, 'p': 83}
-
id: 538048
{'charpoly_factorization': [[[-162, 0, 1], 2]], 'hecke_orbit_code': 343630938337, 'p': 89}
-
id: 538049
{'charpoly_factorization': [[[242, -22, 1], 2]], 'hecke_orbit_code': 343630938337, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 1, 'label': '225.2.f.a', 'level': 225, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 31539000
{'hecke_orbit_code': 343630938337, 'n': 1, 'trace_an': 4}
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id: 31539001
{'hecke_orbit_code': 343630938337, 'n': 2, 'trace_an': 0}
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id: 31539002
{'hecke_orbit_code': 343630938337, 'n': 3, 'trace_an': 0}
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id: 31539003
{'hecke_orbit_code': 343630938337, 'n': 4, 'trace_an': 0}
-
id: 31539004
{'hecke_orbit_code': 343630938337, 'n': 5, 'trace_an': 0}
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id: 31539005
{'hecke_orbit_code': 343630938337, 'n': 6, 'trace_an': 0}
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id: 31539006
{'hecke_orbit_code': 343630938337, 'n': 7, 'trace_an': 8}
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id: 31539007
{'hecke_orbit_code': 343630938337, 'n': 8, 'trace_an': 0}
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id: 31539008
{'hecke_orbit_code': 343630938337, 'n': 9, 'trace_an': 0}
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id: 31539009
{'hecke_orbit_code': 343630938337, 'n': 10, 'trace_an': 0}
-
id: 31539010
{'hecke_orbit_code': 343630938337, 'n': 11, 'trace_an': 0}
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id: 31539011
{'hecke_orbit_code': 343630938337, 'n': 12, 'trace_an': 0}
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id: 31539012
{'hecke_orbit_code': 343630938337, 'n': 13, 'trace_an': -4}
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id: 31539013
{'hecke_orbit_code': 343630938337, 'n': 14, 'trace_an': 0}
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id: 31539014
{'hecke_orbit_code': 343630938337, 'n': 15, 'trace_an': 0}
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id: 31539015
{'hecke_orbit_code': 343630938337, 'n': 16, 'trace_an': 4}
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id: 31539016
{'hecke_orbit_code': 343630938337, 'n': 17, 'trace_an': 0}
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id: 31539017
{'hecke_orbit_code': 343630938337, 'n': 18, 'trace_an': 0}
-
id: 31539018
{'hecke_orbit_code': 343630938337, 'n': 19, 'trace_an': 0}
-
id: 31539019
{'hecke_orbit_code': 343630938337, 'n': 20, 'trace_an': 0}
-
id: 31539020
{'hecke_orbit_code': 343630938337, 'n': 21, 'trace_an': 0}
-
id: 31539021
{'hecke_orbit_code': 343630938337, 'n': 22, 'trace_an': -8}
-
id: 31539022
{'hecke_orbit_code': 343630938337, 'n': 23, 'trace_an': 0}
-
id: 31539023
{'hecke_orbit_code': 343630938337, 'n': 24, 'trace_an': 0}
-
id: 31539024
{'hecke_orbit_code': 343630938337, 'n': 25, 'trace_an': 0}
-
id: 31539025
{'hecke_orbit_code': 343630938337, 'n': 26, 'trace_an': 0}
-
id: 31539026
{'hecke_orbit_code': 343630938337, 'n': 27, 'trace_an': 0}
-
id: 31539027
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