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mf_newforms • Show schema
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{'Nk2': 3720, 'analytic_conductor': 7.426087387979075, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [930, 2, [311, 187, 871], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 559, 'conrey_indexes': [559], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [1, 0, 1]], [11, [5, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503805819356066, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3720, 'analytic_conductor': 7.426087387979075, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [930, 2, [311, 187, 871], [2, 1, 2]], 'conrey_index': 559, 'cusp_dim': 184, 'dim': 28, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 206191985570, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 6, 6], 'label': '930.2.d', 'level': 930, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'mf_dim': 200, 'mf_new_dim': 28, 'num_forms': 9, 'prim_orbit_index': 2, 'relative_dim': 28, 'sturm_bound': 384, 'trace_bound': 11, 'trace_display': [0, 0, 8, 0], 'traces': [28, 0, 0, -28, 8, 0, 0, 0, -28, 0, -8, 0, 0, -8, -8, 28, 0, 0, 16, -8, 0, 0, 0, 0, 0, 24, 0, 0, -16, 0, 0, 0, 0, -16, 0, 28, 0, 0, 0, 0, 24, 0, 0, 8, -8, 8, 0, 0, -20, -16, 8, 0, 0, 0, -24, 8, 0, 0, 24, 8, 0, 0, 0, -28, -40, -16, 0, 0, 16, 0, 32, 0, 0, -8, 32, -16, 0, 0, -48, 8, 28, 0, 0, 0, -24, 16, 0, 0, -72, 0, 32, 0, 0, 56, -24, 0, 0, 0, 8, 0, 0, 0, 0, -24, -40, 40, 0, 0, 56, -56, -16, 0, 0, 0, 32, 16, 0, 0, -48, 0, 108, 0, 0, 0, 8, 8, 0, 0, 8, -32, 136, 0, 0, 32, 8, 16, 0, 0, -136, 0, 16, 0, 0, -28, -56, -32, 0, 0, -80, -16, -16, 0, 0, 32, 0, 0, 0, 0, 16, 0, 112, 0, 0, -24, -24, -16, 0, 0, 4, -16, -16, 0, 0, 8, -136, -8, 0, 0, 8, 8, 112, 0, 0, -8, -40, -12, 0, 0, 0, -52, 160, 0, 0, 80, 12, 20, 0, 0, -64, 16, 32, 0, 0, -8, -56, 56, 0, 0, 48, -32, -24, 0, 0, -40, -128, 0, 0, 0, 16, 24, 48, 0, 0, -8, 0, 0, 0, 0, -32, -16, 64, 0, 0, -24, -36, -24, 0, 0, 80, -8, 104, 0, 0, 0, -72, 16, 0, 0, -24, -84, 8, 0, 0, -136, -56, 28, 0, 0, 64, 40, 16, 0, 0, 16, 16, 112, 0, 0, 0, 0, 48, 0, 0, 112, 8, -16, 0, 0, 0, 0, -24, 0, 0, -32, -24, 72, 0, 0, 20, 16, -48, 0, 0, 32, 24, 8, 0, 0, -160, -32, -32, 0, 0, 16, -96, 16, 0, 0, 32, 0, -160, 0, 0, -8, 0, 48, 0, 0, 48, -8, 64, 0, 0, -28, -88, 0, 0, 0, 64, -12, 88, 0, 0, -8, -8, 0, 0, 0, -144, 24, 0, 0, 0, -16, -16, -16, 0, 0, 8, 0, 0, 0, 0, 32, 92, 72, 0, 0, 32, 0, 156, 0, 0, -32, -64, -8, 0, 0, -24, 16, -64, 0, 0, 64, 32, -56, 0, 0, 48, 24, -56, 0, 0, 0, -40, -144, 0, 0, 64, 56, 176, 0, 0, -136, 16, -8, 0, 0, 80, 0, -88, 0, 0, 0, 8, -48, 0, 0, 40, 32, 16, 0, 0, -8, -40, 24, 0, 0, -56, 40, -184, 0, 0, -40, 80, 48, 0, 0, -80, 56, -32, 0, 0, 0, 16, -56, 0, 0, -176, 56, 20, 0, 0, 16, 80, -56, 0, 0, 8, 16, 192, 0, 0, -8, 0, 0, 0, 0, -8, -32, 96, 0, 0, -16, 0, -96, 0, 0, 48, -152, 32, 0, 0, 56, 68, 48, 0, 0, 208, 0, -336, 0, 0, -108, -64, 0, 0, 0, -16, -16, 280, 0, 0, 96, 24, 0, 0, 0, 72, -8, 64, 0, 0, -8, -24, 64, 0, 0, 32, 12, 0, 0, 0, 0, 80, -8, 0, 0, -48, 32, -40, 0, 0, -136, 16, 56, 0, 0, -116, 0, -24, 0, 0, 8, -24, -32, 0, 0, -296, -8, -8, 0, 0, -16, -56, 0, 0, 0, 0, 16, 96, 0, 0, 88, -16, 136, 0, 0, -32, 0, -128, 0, 0, -16, -56, -48, 0, 0, 248, -64, -120, 0, 0, 128, -64, 28, 0, 0, 64, 56, -192, 0, 0, 32, 40, -56, 0, 0, 32, -8, 48, 0, 0, 16, -136, 80, 0, 0, 0, 16, 8, 0, 0, 16, 72, -64, 0, 0, 160, -64, -64, 0, 0, 192, -48, -32, 0, 0, -72, 0, -16, 0, 0, 0, 16, 64, 0, 0, -176, 0, -176, 0, 0, -16, 200, -16, 0, 0, -32, 0, 104, 0, 0, -112, 88, -32, 0, 0, -128, 8, -16, 0, 0, -80, 56, 24, 0, 0, -56, 24, -8, 0, 0, 16, 168, 8, 0, 0, 56, 28, 304, 0, 0, -32, -32, -4, 0, 0, 16, 16, -80, 0, 0, 16, 64, -224, 0, 0, -240, 16, 32, 0, 0, 144, 32, -8, 0, 0, -96, 136, -192, 0, 0, 8, 0, 96, 0, 0, 224, -24, 48, 0, 0, 16, 228, -8, 0, 0, 0, -8, -112, 0, 0, -112, 256, 0, 0, 0, -28, -40, -224, 0, 0, -56, 104, 8, 0, 0, 24, 40, -80, 0, 0, 12, 380, -24, 0, 0, -96, -48, -16, 0, 0, 80, 32, 0, 0, 0, 96, 52, 40, 0, 0, -160, 24, -136, 0, 0, -128, -144, -224, 0, 0, -16, 16, -80, 0, 0, -112, -12, -96, 0, 0, -20, 32, 16, 0, 0, -48, -176, -128, 0, 0, -8, -144, 64, 0, 0, 48, -16, 72, 0, 0, -32, 80, 0, 0, 0, 232, 0, -168, 0, 0, 176, 152, 8, 0, 0, -32, 56, -32, 0, 0, -56, -100, 240, 0, 0, -96, -32, -16, 0, 0, -64, -128, -48, 0, 0, -80, 32, 4, 0, 0, 24, 216, -56, 0, 0, 160, -48, -448, 0, 0, 208, 24, 40, 0, 0, 408, 128, 224, 0, 0, 0, -20, 64, 0, 0, 320, -48, -240, 0, 0, -128, -152, -16, 0, 0, -64, -24, 56, 0, 0, -48, 112, -120, 0, 0, 48, 56, -8, 0, 0, 32, 24, 8, 0, 0, -48, 0, -160, 0, 0, 0, 32, 104, 0, 0, 0, 168, -256, 0, 0, 64, 68, 32, 0, 0, 64, 16, -128, 0, 0, -64, 16, -104, 0, 0, 216, 0, -56, 0, 0, 128, -184, 24, 0, 0, 184, 36, -448, 0, 0, 24, 40, -104, 0, 0, -48, 88, 16, 0, 0, -40, 296, -80, 0, 0, 304, 8, 28, 0, 0, -104, 32, -120, 0, 0, -168, -124, 40, 0, 0, 216, -104, 0, 0, 0, 376, 72, -56, 0, 0, -16, -176, -128, 0, 0, 192, 56, -144, 0, 0, 200, -208, 24, 0, 0, 16, 84], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 34891874
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 559, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356066, 'source_is_minimal': True, 'source_label': '930.2.d.b.559.1', 'source_level': 930, 'target_conrey_index': 559, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819356066, 'target_is_minimal': True, 'target_label': '930.2.d.b.559.1', 'target_level': 930, 'twist_class_label': '930.2.d.b.559.1', 'twist_class_level': 930, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 34891875
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 559, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356066, 'source_is_minimal': True, 'source_label': '930.2.d.b.559.1', 'source_level': 930, 'target_conrey_index': 559, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021803956210406, 'target_is_minimal': False, 'target_label': '2790.2.d.g.559.2', 'target_level': 2790, 'twist_class_label': '930.2.d.b.559.1', 'twist_class_level': 930, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 34891876
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 559, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356066, 'source_is_minimal': True, 'source_label': '930.2.d.b.559.1', 'source_level': 930, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 189151184383119914, 'target_is_minimal': False, 'target_label': '4650.2.a.bq.1.1', 'target_level': 4650, 'twist_class_label': '930.2.d.b.559.1', 'twist_class_level': 930, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 34891877
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 559, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356066, 'source_is_minimal': True, 'source_label': '930.2.d.b.559.1', 'source_level': 930, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170411562, 'target_is_minimal': False, 'target_label': '4650.2.a.f.1.1', 'target_level': 4650, 'twist_class_label': '930.2.d.b.559.1', 'twist_class_level': 930, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 34891878
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 559, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356066, 'source_is_minimal': True, 'source_label': '930.2.d.b.559.1', 'source_level': 930, 'target_conrey_index': 559, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503805819356066, 'target_is_minimal': True, 'target_label': '930.2.d.b.559.2', 'target_level': 930, 'twist_class_label': '930.2.d.b.559.1', 'twist_class_level': 930, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 34891879
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 559, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356066, 'source_is_minimal': True, 'source_label': '930.2.d.b.559.1', 'source_level': 930, 'target_conrey_index': 559, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021803956210406, 'target_is_minimal': False, 'target_label': '2790.2.d.g.559.1', 'target_level': 2790, 'twist_class_label': '930.2.d.b.559.1', 'twist_class_level': 930, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1502125
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 4503805819356066, 'p': 2}
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id: 1502126
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 4503805819356066, 'p': 3}
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id: 1502127
{'charpoly_factorization': [[[5, 2, 1], 1]], 'hecke_orbit_code': 4503805819356066, 'p': 5}
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id: 1502128
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 4503805819356066, 'p': 7}
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id: 1502129
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 4503805819356066, 'p': 11}
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id: 1502130
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 4503805819356066, 'p': 13}
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id: 1502131
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805819356066, 'p': 17}
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id: 1502132
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 4503805819356066, 'p': 19}
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id: 1502133
{'charpoly_factorization': [[[81, 0, 1], 1]], 'hecke_orbit_code': 4503805819356066, 'p': 23}
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id: 1502134
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 4503805819356066, 'p': 29}
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id: 1502135
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 4503805819356066, 'p': 31}
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id: 1502136
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 4503805819356066, 'p': 37}
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id: 1502137
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 4503805819356066, 'p': 41}
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id: 1502138
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 4503805819356066, 'p': 43}
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id: 1502139
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 4503805819356066, 'p': 47}
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id: 1502140
{'charpoly_factorization': [[[169, 0, 1], 1]], 'hecke_orbit_code': 4503805819356066, 'p': 53}
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id: 1502141
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 4503805819356066, 'p': 59}
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id: 1502142
{'charpoly_factorization': [[[14, 1], 2]], 'hecke_orbit_code': 4503805819356066, 'p': 61}
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id: 1502143
{'charpoly_factorization': [[[196, 0, 1], 1]], 'hecke_orbit_code': 4503805819356066, 'p': 67}
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id: 1502144
{'charpoly_factorization': [[[9, 1], 2]], 'hecke_orbit_code': 4503805819356066, 'p': 71}
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id: 1502145
{'charpoly_factorization': [[[81, 0, 1], 1]], 'hecke_orbit_code': 4503805819356066, 'p': 73}
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id: 1502146
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 4503805819356066, 'p': 79}
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id: 1502147
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 4503805819356066, 'p': 83}
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id: 1502148
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 4503805819356066, 'p': 89}
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id: 1502149
{'charpoly_factorization': [[[324, 0, 1], 1]], 'hecke_orbit_code': 4503805819356066, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 2, 'label': '930.2.d.b', 'level': 930, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 83516000
{'hecke_orbit_code': 4503805819356066, 'n': 1, 'trace_an': 2}
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id: 83516001
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