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{'Nk2': 11160, 'analytic_conductor': 22.278262163937228, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, -1], [31, -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': [2790, 1, [2171, 1117, 1801], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 65, 'field_disc_factorization': [[5, 1], [13, 1]], 'field_poly': [-16, -1, 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, [-16, 1, 1]], [11, [-10, 5, 1]], [13, [-6, 1]], [17, [-4, 1]], [19, [-16, -1, 1]]], 'hecke_orbit': 32, 'hecke_orbit_code': 139611588482042598, 'hecke_ring_generator_nbound': 7, '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]], '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': False, 'label': '2790.2.a.bf', 'level': 2790, '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, 31], 'level_radical': 930, 'minimal_twist': '930.2.a.q', 'nf_label': '2.2.65.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+q^{5}-\\beta q^{7}-q^{8}-q^{10}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2790.2.a', 'trace_display': [-2, 0, 2, -1], 'trace_hash': 2224735919951044670, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.038', 'prec': 17}, {'__RealLiteral__': 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32, 'hecke_orbit_code': 139611588482042598, 'label': '2790.2.a.bf.1.2', 'level': 2790, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [2, 4, 3, 1, 3, 5, 3, 5, 3, 1, 2, 4, 4, 4, 5, 1], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [27, 38, 33, 33, 36, 26, 34, 28, 27, 39, 32, 32, 33, 29, 34, 30], 'Nk2': 11160, 'analytic_conductor': 22.278262163937228, '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': [2790, 1, [2171, 1117, 1801], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 561, 'dim': 50, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 19], 'hecke_orbit_code': 33557222, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 4, 4], 'label': '2790.2.a', 'level': 2790, '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, 31], 'level_radical': 930, 'mf_dim': 592, 'mf_new_dim': 50, 'num_forms': 37, 'plus_dim': 19, 'prim_orbit_index': 1, 'relative_dim': 50, 'sturm_bound': 1152, 'trace_bound': 13, 'trace_display': [-2, 0, -2, 0], 'traces': [50, -2, 0, 50, -2, 0, 0, -2, 0, 2, -8, 0, 0, 0, 0, 50, 4, 0, 24, -2, 0, 12, 8, 0, 50, 4, 0, 0, -28, 0, 0, -2, 0, -4, 0, 0, -8, -16, 0, 2, -4, 0, 20, -8, 0, 16, -16, 0, 50, -2, 0, 0, 24, 0, -16, 0, 0, -16, -16, 0, 12, -8, 0, 50, 4, 0, 16, 4, 0, 16, 32, 0, 28, -12, 0, 24, 24, 0, 16, -2, 0, -12, 52, 0, 24, 16, 0, 12, 68, 0, 72, 8, 0, -8, 16, 0, 12, -2, 0, 50, 68, 0, 0, 4, 0, 12, 8, 0, 12, 4, 0, 0, -44, 0, -4, -28, 0, 16, 0, 0, 34, 8, 0, 0, -2, 0, -8, -2, 0, 0, 0, 0, -16, 8, 0, -4, -28, 0, -56, 0, 0, -32, -16, 0, 12, 44, 0, -8, 4, 0, -16, -16, 0, -16, -4, 0, -4, 56, 0, 2, -16, 0, -32, -4, 0, 40, 56, 0, 70, 8, 0, 20, -44, 0, 0, -8, 0, 52, 24, 0, -52, 0, 0, 16, -4, 0, 16, -16, 0, -8, 56, 0, 36, -12, 0, 50, 0, 0, -32, -2, 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-64, 0, 52, -24, 0, 128, 24, 0, -88, 16, 0, 112, -90, 0, -52, -28, 0, -48, 0, 0, 8, -16, 0, 20, -96, 0, 16, 24, 0, -48, -4, 0, 32, 128, 0, -20, 12, 0, 16, 96, 0, 8, -16, 0, 0, 64, 0, -208, 16, 0, -8, -12, 0, -48, 56, 0, -112, 160, 0, -148, -8, 0, 36, 128, 0, 0, -12, 0, -200, -144, 0, 88, 144, 0, 50, -84, 0, -188, 0, 0, -56, 32, 0, -96, -100, 0, -32, -160, 0, -48, -2, 0, -36, 112, 0, 64, 0, 0, -36, 52, 0, 56, 48, 0, 72, -24, 0, -152, -108, 0, -12, 12, 0, -200, 72, 0, -32, 124, 0, -212, -36, 0, 0, 212, 0, 36, 48, 0, -80, 40, 0, 230, -100, 0, 24, 106, 0, -160, 24, 0, -4, -48, 0, -132, 88, 0, 40, -52, 0, -104, 16, 0, -56, -184, 0, 12, -12, 0, 8, -208, 0, -32, 76, 0, 56, 0, 0, -268, 24, 0, -16, 4, 0, 60, -24, 0, -56, 192, 0, -256, 12, 0, -32, 256, 0, -40, 0, 0, -36, 24, 0, -248, -72, 0, 28, -60, 0, -72, -48, 0, 24, 160, 0, -472, -4, 0, -60, 32, 0, 48, 12, 0, -16, 104, 0, -8, -80, 0, -16, 36, 0, 344, 20, 0, 24, -88, 0, -76, -48, 0, 16, -4, 0, -152, -16, 0, 120, -124, 0, -120, -16, 0, -80, 188, 0, -16, 48, 0, 160, -112, 0, 50, 88, 0, 52, 4, 0, 72, -58, 0, 4, 144, 0, 192, -40, 0, 12, 28, 0, 0, 14, 0, 100, 104, 0, -20, -200, 0, 56, 128, 0, -32, -8, 0, -32, -8, 0, 148, -76, 0, 2], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48751534
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482042598, 'source_is_minimal': False, 'source_label': '2790.2.a.bf.1.2', 'source_level': 2790, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 139611588482042598, 'target_is_minimal': False, 'target_label': '2790.2.a.bf.1.2', 'target_level': 2790, 'twist_class_label': '930.2.a.q.1.2', 'twist_class_level': 930, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48751535
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482042598, 'source_is_minimal': False, 'source_label': '2790.2.a.bf.1.2', 'source_level': 2790, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057594071483298, 'target_is_minimal': True, 'target_label': '930.2.a.q.1.2', 'target_level': 930, 'twist_class_label': '930.2.a.q.1.2', 'twist_class_level': 930, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48751536
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482042598, 'source_is_minimal': False, 'source_label': '2790.2.a.bf.1.2', 'source_level': 2790, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 130604389227306256, 'target_is_minimal': False, 'target_label': '7440.2.a.bd.1.1', 'target_level': 7440, 'twist_class_label': '930.2.a.q.1.2', 'twist_class_level': 930, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48751537
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482042598, 'source_is_minimal': False, 'source_label': '2790.2.a.bf.1.2', 'source_level': 2790, 'target_conrey_index': 3349, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 144115394267845162, 'target_is_minimal': False, 'target_label': '4650.2.d.bg.3349.4', 'target_level': 4650, 'twist_class_label': '930.2.a.q.1.2', 'twist_class_level': 930, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48751538
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482042598, 'source_is_minimal': False, 'source_label': '2790.2.a.bf.1.2', 'source_level': 2790, 'target_conrey_index': 3349, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 144115394267845162, 'target_is_minimal': False, 'target_label': '4650.2.d.bg.3349.1', 'target_level': 4650, 'twist_class_label': '930.2.a.q.1.2', 'twist_class_level': 930, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 48751539
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482042598, 'source_is_minimal': False, 'source_label': '2790.2.a.bf.1.2', 'source_level': 2790, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 229683581029454378, 'target_is_minimal': False, 'target_label': '4650.2.a.bz.1.1', 'target_level': 4650, 'twist_class_label': '930.2.a.q.1.2', '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: 2851825
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 139611588482042598, 'p': 2}
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id: 2851826
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 139611588482042598, 'p': 3}
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id: 2851827
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 139611588482042598, 'p': 5}
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id: 2851828
{'charpoly_factorization': [[[-16, 1, 1], 1]], 'hecke_orbit_code': 139611588482042598, 'p': 7}
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id: 2851829
{'charpoly_factorization': [[[-10, 5, 1], 1]], 'hecke_orbit_code': 139611588482042598, 'p': 11}
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id: 2851830
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 139611588482042598, 'p': 13}
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id: 2851831
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 139611588482042598, 'p': 17}
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id: 2851832
{'charpoly_factorization': [[[-16, -1, 1], 1]], 'hecke_orbit_code': 139611588482042598, 'p': 19}
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id: 2851833
{'charpoly_factorization': [[[-10, 5, 1], 1]], 'hecke_orbit_code': 139611588482042598, 'p': 23}
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id: 2851834
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 139611588482042598, 'p': 29}
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id: 2851835
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 139611588482042598, 'p': 31}
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id: 2851836
{'charpoly_factorization': [[[-64, -2, 1], 1]], 'hecke_orbit_code': 139611588482042598, 'p': 37}
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id: 2851837
{'charpoly_factorization': [[[-64, -2, 1], 1]], 'hecke_orbit_code': 139611588482042598, 'p': 41}
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id: 2851838
{'charpoly_factorization': [[[4, 9, 1], 1]], 'hecke_orbit_code': 139611588482042598, 'p': 43}
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id: 2851839
{'charpoly_factorization': [[[-56, 6, 1], 1]], 'hecke_orbit_code': 139611588482042598, 'p': 47}
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id: 2851840
{'charpoly_factorization': [[[-14, 3, 1], 1]], 'hecke_orbit_code': 139611588482042598, 'p': 53}
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id: 2851841
{'charpoly_factorization': [[[-64, -2, 1], 1]], 'hecke_orbit_code': 139611588482042598, 'p': 59}
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id: 2851842
{'charpoly_factorization': [[[-56, 6, 1], 1]], 'hecke_orbit_code': 139611588482042598, 'p': 61}
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id: 2851843
{'charpoly_factorization': [[[-56, 6, 1], 1]], 'hecke_orbit_code': 139611588482042598, 'p': 67}
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id: 2851844
{'charpoly_factorization': [[[56, -17, 1], 1]], 'hecke_orbit_code': 139611588482042598, 'p': 71}
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id: 2851845
{'charpoly_factorization': [[[4, 9, 1], 1]], 'hecke_orbit_code': 139611588482042598, 'p': 73}
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id: 2851846
{'charpoly_factorization': [[[4, 9, 1], 1]], 'hecke_orbit_code': 139611588482042598, 'p': 79}
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id: 2851847
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 139611588482042598, 'p': 83}
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id: 2851848
{'charpoly_factorization': [[[-10, -5, 1], 1]], 'hecke_orbit_code': 139611588482042598, 'p': 89}
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id: 2851849
{'charpoly_factorization': [[[-260, 0, 1], 1]], 'hecke_orbit_code': 139611588482042598, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 32, 'label': '2790.2.a.bf', 'level': 2790, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 68754655
{'hecke_orbit_code': 139611588482042598, 'n': 1, 'trace_an': 2}
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id: 68754656
{'hecke_orbit_code': 139611588482042598, 'n': 2, 'trace_an': -2}
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id: 68754657
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