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mf_newforms • Show schema
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{'Nk2': 3648, 'analytic_conductor': 7.282356664340771, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [19, 1]], 'atkin_lehner_string': '+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [912, 1, [799, 229, 305, 97], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-1, 1]], [7, [-3, 1]], [11, [-5, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052519312, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 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mf_hecke_cc • Show schema
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'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.0, 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052519312, 'label': '912.2.a.i.1.1', 'level': 912, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [3, 1, 4, 0, 3, 2, 2, 3], 'Nk2': 3648, 'analytic_conductor': 7.282356664340771, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [912, 1, [799, 229, 305, 97], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 149, 'dim': 18, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 33555344, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2], 'label': '912.2.a', 'level': 912, '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': [2, 3, 19], 'level_radical': 114, 'mf_dim': 172, 'mf_new_dim': 18, 'num_forms': 15, 'plus_dim': 7, 'prim_orbit_index': 1, 'relative_dim': 18, 'sturm_bound': 320, 'trace_bound': 11, 'trace_display': [0, 0, 4, 4], 'traces': [18, 0, 0, 0, 4, 0, 4, 0, 18, 0, 8, 0, 4, 0, 0, 0, -4, 0, -6, 0, 0, 0, -4, 0, 22, 0, 0, 0, -12, 0, 0, 0, 8, 0, -12, 0, -12, 0, 8, 0, -4, 0, 12, 0, 4, 0, -24, 0, 26, 0, 0, 0, -12, 0, 20, 0, 0, 0, 8, 0, 4, 0, 4, 0, -24, 0, 8, 0, 0, 0, 40, 0, -12, 0, 16, 0, -16, 0, -16, 0, 18, 0, -12, 0, 8, 0, 12, 0, -20, 0, 56, 0, 0, 0, 0, 0, -12, 0, 8, 0, 20, 0, 40, 0, 0, 0, -16, 0, 4, 0, 16, 0, -52, 0, 8, 0, 4, 0, -28, 0, -6, 0, 12, 0, 24, 0, 16, 0, 16, 0, -48, 0, 0, 0, 0, 0, -36, 0, -44, 0, 0, 0, -96, 0, -8, 0, 32, 0, 4, 0, -16, 0, -4, 0, -40, 0, -28, 0, -4, 0, -32, 0, 24, 0, -32, 0, -24, 0, 46, 0, -6, 0, 4, 0, 16, 0, 8, 0, -16, 0, -12, 0, 16, 0, -24, 0, -60, 0, 0, 0, 8, 0, -12, 0, 16, 0, 20, 0, -4, 0, 16, 0, -40, 0, 8, 0, -4, 0, 0, 0, 40, 0, 0, 0, 12, 0, 16, 0, 0, 0, -8, 0, -32, 0, 22, 0, -24, 0, -52, 0, -24, 0, -36, 0, 52, 0, -24, 0, -88, 0, 36, 0, 0, 0, 20, 0, 12, 0, 24, 0, -40, 0, 24, 0, 32, 0, -36, 0, -48, 0, -12, 0, 80, 0, -24, 0, -36, 0, 4, 0, -40, 0, 32, 0, 132, 0, -4, 0, 0, 0, -68, 0, -84, 0, 0, 0, -32, 0, 62, 0, -24, 0, 84, 0, -80, 0, 8, 0, -72, 0, -48, 0, 16, 0, -80, 0, 48, 0, 8, 0, 8, 0, 28, 0, -12, 0, 52, 0, -32, 0, -8, 0, 0, 0, 44, 0, -24, 0, 8, 0, -16, 0, -12, 0, -32, 0, -28, 0, -84, 0, 0, 0, 92, 0, 48, 0, 16, 0, -4, 0, 8, 0, 4, 0, -64, 0, -48, 0, 40, 0, 18, 0, 64, 0, 120, 0, 24, 0, -4, 0, 168, 0, -12, 0, -72, 0, -24, 0, 24, 0, -16, 0, -48, 0, -24, 0, 12, 0, -28, 0, 8, 0, -24, 0, 112, 0, -20, 0, 16, 0, -36, 0, -16, 0, 4, 0, 136, 0, 4, 0, 0, 0, 80, 0, 216, 0, 16, 0, -4, 0, 68, 0, -24, 0, -68, 0, 52, 0, -48, 0, 112, 0, 52, 0, -8, 0, 0, 0, -200, 0, 26, 0, -32, 0, -152, 0, -24, 0, -4, 0, -24, 0, -40, 0, 216, 0, -12, 0, 0, 0, 84, 0, -76, 0, -16, 0, 168, 0, -80, 0, 0, 0, -24, 0, -30, 0, -12, 0, 4, 0, -8, 0, -32, 0, 88, 0, -8, 0, 32, 0, -36, 0, 8, 0, 20, 0, 16, 0, 92, 0, 0, 0, -108, 0, -8, 0, 0, 0, 20, 0, 84, 0, 0, 0, 72, 0, -40, 0, -12, 0, 76, 0, 160, 0, -64, 0, 184, 0, -22, 0, 8, 0, 120, 0, -8, 0, 8, 0, -108, 0, 36, 0, 56, 0, 24, 0, 88, 0, 4, 0, 0, 0, 80, 0, 48, 0, 36, 0, 104, 0, 32, 0, 32, 0, 24, 0, 4, 0, -20, 0, -112, 0, -48, 0, -12, 0, 84, 0, -48, 0, -16, 0, 16, 0, -24, 0, -56, 0, 8, 0, -72, 0, 100, 0, -92, 0, -16, 0, -128, 0, 68, 0, 8, 0, 100, 0, -96, 0, 16, 0, 96, 0, -60, 0, -88, 0, -52, 0, -40, 0, 0, 0, -168, 0, -6, 0, -12, 0, 104, 0, 4, 0, -16, 0, -184, 0, -44, 0, 40, 0, 44, 0, -164, 0, -80, 0, 144, 0, 64, 0, 80, 0, 132, 0, -84, 0, -12, 0, -8, 0, -124, 0, 32, 0, -24, 0, 120, 0, -56, 0, 36, 0, -140, 0, 16, 0, 100, 0, -72, 0, 40, 0, -160, 0, -8, 0, -16, 0, 8, 0, -28, 0, -16, 0, -196, 0, -56, 0, -8, 0, -12, 0, 28, 0, -48, 0, -24, 0, -44, 0, -16, 0, 64, 0, -8, 0, -64, 0, 16, 0, 112, 0, -88, 0, -4, 0, -76, 0, 18, 0, 204, 0, 4, 0, 40, 0, -48, 0, -108, 0, 0, 0, -24, 0, -80, 0, -12, 0, -128, 0, -112, 0, -8, 0, -128, 0, -4, 0, -16, 0, 124, 0, 32, 0, 8, 0, 48, 0, 36, 0, -108, 0, 100, 0, -88, 0, 32, 0, 0, 0, -128, 0, 12, 0, -24, 0, -104, 0, -32, 0, -40, 0, 8, 0, -120, 0, -44, 0, 132, 0, -20, 0, 4, 0, -240, 0, 20, 0, -100, 0, 40, 0, 64, 0, 16, 0, 16, 0, 56, 0, -172, 0, -76, 0, -8, 0, 152, 0, 84, 0, -48, 0, 52, 0, -40, 0, 0, 0, -112, 0, 22, 0, 68, 0, -100, 0, 40, 0, 0, 0, 216, 0, 140, 0, 0, 0, 76, 0, -140, 0, -48, 0, 56, 0, 72, 0, -48, 0, -48, 0, 208, 0, -12, 0, 12, 0, -156, 0, -76, 0, -20, 0, 52, 0, -48, 0, 112, 0, -96, 0, 8, 0, 16, 0, -184, 0, 16, 0, 0, 0, 120, 0, -48, 0, -72, 0, 48, 0, 20, 0, 200, 0, -24, 0, -56, 0, 16, 0, 0, 0, 8, 0, 112, 0, 44, 0, 40, 0, -76, 0, -42, 0, 48, 0, 124, 0, 76, 0, 48, 0, 100, 0, 136, 0, 0, 0, -68, 0, 8, 0, 84, 0, 60, 0, 284, 0, 56, 0, -284, 0, 2, 0, -16, 0, 24, 0, 64, 0, 0, 0, 0, 0, 80, 0, -24, 0, -132, 0, 80, 0, 4, 0, 272, 0, -72, 0, 120, 0, -128, 0, 104, 0, 56, 0, -60, 0, 4, 0, 16, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46451070
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519312, 'source_is_minimal': False, 'source_label': '912.2.a.i.1.1', 'source_level': 912, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052519312, 'target_is_minimal': False, 'target_label': '912.2.a.i.1.1', 'target_level': 912, 'twist_class_label': '456.2.a.a.1.1', 'twist_class_level': 456, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46451071
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519312, 'source_is_minimal': False, 'source_label': '912.2.a.i.1.1', 'source_level': 912, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052521136, 'target_is_minimal': False, 'target_label': '2736.2.a.i.1.1', 'target_level': 2736, 'twist_class_label': '456.2.a.a.1.1', 'twist_class_level': 456, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46451072
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519312, 'source_is_minimal': False, 'source_label': '912.2.a.i.1.1', 'source_level': 912, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554888, 'target_is_minimal': True, 'target_label': '456.2.a.a.1.1', 'target_level': 456, 'twist_class_label': '456.2.a.a.1.1', 'twist_class_level': 456, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46451073
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519312, 'source_is_minimal': False, 'source_label': '912.2.a.i.1.1', 'source_level': 912, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 112589990717820480, 'target_is_minimal': False, 'target_label': '3648.2.a.z.1.1', 'target_level': 3648, 'twist_class_label': '456.2.a.a.1.1', 'twist_class_level': 456, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46451074
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519312, 'source_is_minimal': False, 'source_label': '912.2.a.i.1.1', 'source_level': 912, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797781056, 'target_is_minimal': False, 'target_label': '3648.2.a.g.1.1', 'target_level': 3648, 'twist_class_label': '456.2.a.a.1.1', 'twist_class_level': 456, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46451075
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519312, 'source_is_minimal': False, 'source_label': '912.2.a.i.1.1', 'source_level': 912, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915667288, 'target_is_minimal': False, 'target_label': '1368.2.a.d.1.1', 'target_level': 1368, 'twist_class_label': '456.2.a.a.1.1', 'twist_class_level': 456, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46451076
{'conductor': 76, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519312, 'source_is_minimal': False, 'source_label': '912.2.a.i.1.1', 'source_level': 912, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934638552, 'target_is_minimal': False, 'target_label': '8664.2.a.l.1.1', 'target_level': 8664, 'twist_class_label': '456.2.a.a.1.1', 'twist_class_level': 456, 'twisting_char_label': '76.75', 'twisting_conrey_index': 75, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1480800
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052519312, 'p': 2}
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id: 1480801
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 36028797052519312, 'p': 3}
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id: 1480802
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 36028797052519312, 'p': 5}
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id: 1480803
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 36028797052519312, 'p': 7}
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id: 1480804
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 36028797052519312, 'p': 11}
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id: 1480805
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 36028797052519312, 'p': 13}
-
id: 1480806
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 36028797052519312, 'p': 17}
-
id: 1480807
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 36028797052519312, 'p': 19}
-
id: 1480808
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 36028797052519312, 'p': 23}
-
id: 1480809
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 36028797052519312, 'p': 29}
-
id: 1480810
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 36028797052519312, 'p': 31}
-
id: 1480811
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052519312, 'p': 37}
-
id: 1480812
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052519312, 'p': 41}
-
id: 1480813
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 36028797052519312, 'p': 43}
-
id: 1480814
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 36028797052519312, 'p': 47}
-
id: 1480815
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 36028797052519312, 'p': 53}
-
id: 1480816
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 36028797052519312, 'p': 59}
-
id: 1480817
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 36028797052519312, 'p': 61}
-
id: 1480818
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 36028797052519312, 'p': 67}
-
id: 1480819
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 36028797052519312, 'p': 71}
-
id: 1480820
{'charpoly_factorization': [[[-13, 1], 1]], 'hecke_orbit_code': 36028797052519312, 'p': 73}
-
id: 1480821
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 36028797052519312, 'p': 79}
-
id: 1480822
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 36028797052519312, 'p': 83}
-
id: 1480823
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 36028797052519312, 'p': 89}
-
id: 1480824
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 36028797052519312, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '912.2.a.i', 'level': 912, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 50335519
{'hecke_orbit_code': 36028797052519312, 'n': 1, 'trace_an': 1}
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id: 50335520
{'hecke_orbit_code': 36028797052519312, 'n': 2, 'trace_an': 0}
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id: 50335521
{'hecke_orbit_code': 36028797052519312, 'n': 3, 'trace_an': 1}
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id: 50335522
{'hecke_orbit_code': 36028797052519312, 'n': 4, 'trace_an': 0}
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id: 50335523
{'hecke_orbit_code': 36028797052519312, 'n': 5, 'trace_an': 1}
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id: 50335524
{'hecke_orbit_code': 36028797052519312, 'n': 6, 'trace_an': 0}
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id: 50335525
{'hecke_orbit_code': 36028797052519312, 'n': 7, 'trace_an': 3}
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id: 50335526
{'hecke_orbit_code': 36028797052519312, 'n': 8, 'trace_an': 0}
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id: 50335527
{'hecke_orbit_code': 36028797052519312, 'n': 9, 'trace_an': 1}
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