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{'Nk2': 35640, 'analytic_conductor': 71.14670820096082, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 1], [11, 1]], 'atkin_lehner_string': '--++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8910, 1, [1541, 5347, 6481], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 7056, 'field_disc_factorization': [[2, 4], [3, 2], [7, 2]], 'field_poly': [1, 0, -5, 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': [[7, [-59, -54, -2, 6, 1]], [13, [-59, 54, -2, -6, 1]], [17, [-26, 2, 1]], [23, [1941, -162, -98, 2, 1]], [29, [-12, 36, -14, -2, 1]]], 'hecke_orbit': 46, 'hecke_orbit_code': 202661983265235662, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '8910.2.a.bt', 'level': 8910, '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, 5, 11], 'level_radical': 330, 'minimal_twist': '8910.2.a.br', 'nf_label': '4.4.7056.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}-q^{5}+(-2+\\beta _{1}-\\beta _{2}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8910.2.a', 'trace_display': [4, 0, -4, -6], 'trace_hash': 1424879007506593903, 'trace_moments': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'ALdims': [9, 10, 13, 8, 11, 10, 7, 12, 10, 9, 8, 13, 10, 11, 12, 7], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [97, 119, 113, 106, 118, 101, 104, 111, 104, 117, 109, 104, 113, 100, 105, 116], 'Nk2': 35640, 'analytic_conductor': 71.14670820096082, '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': [8910, 1, [1541, 5347, 6481], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1897, 'dim': 160, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 13, 17, 23, 29], 'hecke_orbit_code': 33563342, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 7, 7, 7, 7], 'label': '8910.2.a', 'level': 8910, '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, 5, 11], 'level_radical': 330, 'mf_dim': 1992, 'mf_new_dim': 160, 'num_forms': 56, 'plus_dim': 68, 'prim_orbit_index': 1, 'relative_dim': 160, 'sturm_bound': 3888, 'trace_bound': 13, 'trace_display': [0, 0, 0, -16], 'traces': [160, 0, 0, 160, 0, 0, -16, 0, 0, 0, 0, 0, -16, 0, 0, 160, 0, 0, -16, 0, 0, 0, 0, 0, 160, 0, 0, -16, 0, 0, -16, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -16, 0, 0, -24, 0, 0, 120, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 160, 0, 0, 80, 0, 0, -24, 0, 0, 80, 0, 0, -16, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, -24, 0, 0, -16, 0, 0, 160, 0, 0, 80, 0, 0, 0, 0, 0, -40, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, -16, 0, 0, -16, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -24, 0, 0, -16, 0, 0, 176, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 80, 0, 0, -24, 0, 0, 144, 0, 0, -16, 0, 0, -16, 0, 0, 0, 0, 0, 56, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 120, 0, 0, 32, 0, 0, 48, 0, 0, -24, 0, 0, -16, 0, 0, -16, 0, 0, 24, 0, 0, 64, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 56, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 160, 0, 0, 48, 0, 0, 96, 0, 0, 80, 0, 0, 176, 0, 0, 0, 0, 0, -16, 0, 0, -24, 0, 0, 80, 0, 0, 0, 0, 0, 256, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, -16, 0, 0, 176, 0, 0, 0, 0, 0, -64, 0, 0, -16, 0, 0, 48, 0, 0, -48, 0, 0, -16, 0, 0, 0, 0, 0, -16, 0, 0, 72, 0, 0, -16, 0, 0, 0, 0, 0, -176, 0, 0, -192, 0, 0, 56, 0, 0, 0, 0, 0, -96, 0, 0, -48, 0, 0, 0, 0, 0, 64, 0, 0, 80, 0, 0, 0, 0, 0, -16, 0, 0, -24, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, -48, 0, 0, -48, 0, 0, 128, 0, 0, 160, 0, 0, -128, 0, 0, -24, 0, 0, 224, 0, 0, 80, 0, 0, 96, 0, 0, -48, 0, 0, 32, 0, 0, 0, 0, 0, -32, 0, 0, 144, 0, 0, 176, 0, 0, -40, 0, 0, 80, 0, 0, -240, 0, 0, -24, 0, 0, -16, 0, 0, 96, 0, 0, 288, 0, 0, -16, 0, 0, 0, 0, 0, -352, 0, 0, -48, 0, 0, -8, 0, 0, 0, 0, 0, -16, 0, 0, -240, 0, 0, -176, 0, 0, 160, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, -16, 0, 0, -48, 0, 0, 48, 0, 0, -16, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 96, 0, 0, 136, 0, 0, 64, 0, 0, 96, 0, 0, -48, 0, 0, -184, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 400, 0, 0, -16, 0, 0, 400, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 176, 0, 0, 24, 0, 0, 416, 0, 0, -24, 0, 0, 0, 0, 0, 48, 0, 0, 160, 0, 0, -16, 0, 0, 0, 0, 0, -240, 0, 0, 224, 0, 0, 176, 0, 0, 80, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 560, 0, 0, 192, 0, 0, 160, 0, 0, 80, 0, 0, -64, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 80, 0, 0, -48, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -48, 0, 0, 416, 0, 0, -24, 0, 0, -192, 0, 0, -24, 0, 0, -256, 0, 0, 144, 0, 0, 544, 0, 0, 48, 0, 0, 96, 0, 0, -16, 0, 0, -112, 0, 0, 240, 0, 0, -336, 0, 0, -16, 0, 0, 304, 0, 0, -96, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 16, 0, 0, 56, 0, 0, -64, 0, 0, 96, 0, 0, -352, 0, 0, -24, 0, 0, -16, 0, 0, -48, 0, 0, -24, 0, 0, 0, 0, 0, -16, 0, 0, 192, 0, 0, -16, 0, 0, 0, 0, 0, 160, 0, 0, -96, 0, 0, -232, 0, 0, 176, 0, 0, -16, 0, 0, 0, 0, 0, -48, 0, 0, 120, 0, 0, 656, 0, 0, 0, 0, 0, -176, 0, 0, 32, 0, 0, 0, 0, 0, 96, 0, 0, 312, 0, 0, 48, 0, 0, 176, 0, 0, -96, 0, 0, 16, 0, 0, -24, 0, 0, -64, 0, 0, -96, 0, 0, 248, 0, 0, -16, 0, 0, 96, 0, 0, -48, 0, 0, 280, 0, 0, -16, 0, 0, -16, 0, 0, 0, 0, 0, 368, 0, 0, 24, 0, 0, 176, 0, 0, -192, 0, 0, 0, 0, 0, 64, 0, 0, 16, 0, 0, 240, 0, 0, -160, 0, 0, 0, 0, 0, -112, 0, 0, -24, 0, 0, 760, 0, 0, 128, 0, 0, 0, 0, 0, 96, 0, 0, -192, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 48, 0, 0, -40, 0, 0, -16, 0, 0, 144, 0, 0, -16, 0, 0, 0, 0, 0, 144, 0, 0, 240, 0, 0, -112, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 192, 0, 0, -96, 0, 0, 336, 0, 0, 56, 0, 0, 224, 0, 0, 0, 0, 0, 496, 0, 0, 56, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 112, 0, 0, 296, 0, 0, 312, 0, 0, -160, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49003963
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 202661983265235662, 'source_is_minimal': True, 'source_label': '8910.2.a.bt.1.3', 'source_level': 8910, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 202661983265235662, 'target_is_minimal': True, 'target_label': '8910.2.a.bt.1.3', 'target_level': 8910, 'twist_class_label': '8910.2.a.br.1.3', 'twist_class_level': 8910, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49003964
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 202661983265235662, 'source_is_minimal': True, 'source_label': '8910.2.a.bt.1.3', 'source_level': 8910, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 193654784010494670, 'target_is_minimal': True, 'target_label': '8910.2.a.br.1.3', 'target_level': 8910, 'twist_class_label': '8910.2.a.br.1.3', 'twist_class_level': 8910, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4880775
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 202661983265235662, 'p': 2}
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id: 4880776
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 202661983265235662, 'p': 3}
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id: 4880777
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 202661983265235662, 'p': 5}
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id: 4880778
{'charpoly_factorization': [[[-59, -54, -2, 6, 1], 1]], 'hecke_orbit_code': 202661983265235662, 'p': 7}
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id: 4880779
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 202661983265235662, 'p': 11}
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id: 4880780
{'charpoly_factorization': [[[-59, 54, -2, -6, 1], 1]], 'hecke_orbit_code': 202661983265235662, 'p': 13}
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id: 4880781
{'charpoly_factorization': [[[-26, 2, 1], 2]], 'hecke_orbit_code': 202661983265235662, 'p': 17}
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id: 4880782
{'charpoly_factorization': [[[277, 92, -42, -4, 1], 1]], 'hecke_orbit_code': 202661983265235662, 'p': 19}
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id: 4880783
{'charpoly_factorization': [[[1941, -162, -98, 2, 1], 1]], 'hecke_orbit_code': 202661983265235662, 'p': 23}
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id: 4880784
{'charpoly_factorization': [[[-12, 36, -14, -2, 1], 1]], 'hecke_orbit_code': 202661983265235662, 'p': 29}
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id: 4880785
{'charpoly_factorization': [[[564, -540, -62, 10, 1], 1]], 'hecke_orbit_code': 202661983265235662, 'p': 31}
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id: 4880786
{'charpoly_factorization': [[[16, -128, -60, 4, 1], 1]], 'hecke_orbit_code': 202661983265235662, 'p': 37}
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id: 4880787
{'charpoly_factorization': [[[9, 8, 1], 2]], 'hecke_orbit_code': 202661983265235662, 'p': 41}
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id: 4880788
{'charpoly_factorization': [[[6, -6, 1], 2]], 'hecke_orbit_code': 202661983265235662, 'p': 43}
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id: 4880789
{'charpoly_factorization': [[[681, -426, -110, 2, 1], 1]], 'hecke_orbit_code': 202661983265235662, 'p': 47}
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id: 4880790
{'charpoly_factorization': [[[249, -1770, -182, 10, 1], 1]], 'hecke_orbit_code': 202661983265235662, 'p': 53}
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id: 4880791
{'charpoly_factorization': [[[-383, -372, -26, 12, 1], 1]], 'hecke_orbit_code': 202661983265235662, 'p': 59}
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id: 4880792
{'charpoly_factorization': [[[256, 0, -80, 0, 1], 1]], 'hecke_orbit_code': 202661983265235662, 'p': 61}
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id: 4880793
{'charpoly_factorization': [[[6948, 3156, 526, 38, 1], 1]], 'hecke_orbit_code': 202661983265235662, 'p': 67}
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id: 4880794
{'charpoly_factorization': [[[4, -12, -2, 6, 1], 1]], 'hecke_orbit_code': 202661983265235662, 'p': 71}
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id: 4880795
{'charpoly_factorization': [[[4, 92, -6, -10, 1], 1]], 'hecke_orbit_code': 202661983265235662, 'p': 73}
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id: 4880796
{'charpoly_factorization': [[[708, -228, -50, 10, 1], 1]], 'hecke_orbit_code': 202661983265235662, 'p': 79}
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id: 4880797
{'charpoly_factorization': [[[-2672, -1968, -152, 12, 1], 1]], 'hecke_orbit_code': 202661983265235662, 'p': 83}
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id: 4880798
{'charpoly_factorization': [[[576, -1248, -200, 4, 1], 1]], 'hecke_orbit_code': 202661983265235662, 'p': 89}
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id: 4880799
{'charpoly_factorization': [[[4596, 756, -122, -14, 1], 1]], 'hecke_orbit_code': 202661983265235662, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 46, 'label': '8910.2.a.bt', 'level': 8910, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71211847
{'hecke_orbit_code': 202661983265235662, 'n': 1, 'trace_an': 4}
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id: 71211848
{'hecke_orbit_code': 202661983265235662, 'n': 2, 'trace_an': 4}
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id: 71211849
{'hecke_orbit_code': 202661983265235662, 'n': 3, 'trace_an': 0}
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id: 71211850
{'hecke_orbit_code': 202661983265235662, 'n': 4, 'trace_an': 4}
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id: 71211851
{'hecke_orbit_code': 202661983265235662, 'n': 5, 'trace_an': -4}
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id: 71211852
{'hecke_orbit_code': 202661983265235662, 'n': 6, 'trace_an': 0}
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id: 71211853
{'hecke_orbit_code': 202661983265235662, 'n': 7, 'trace_an': -6}
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id: 71211854
{'hecke_orbit_code': 202661983265235662, 'n': 8, 'trace_an': 4}
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id: 71211855
{'hecke_orbit_code': 202661983265235662, 'n': 9, 'trace_an': 0}
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id: 71211856
{'hecke_orbit_code': 202661983265235662, 'n': 10, 'trace_an': -4}
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id: 71211857
{'hecke_orbit_code': 202661983265235662, 'n': 11, 'trace_an': -4}
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