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{'Nk2': 23064, 'analytic_conductor': 46.04174180547027, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -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': [5766, 1, [3845, 3847], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 1125, 'field_disc_factorization': [[3, 2], [5, 3]], 'field_poly': [1, 4, -4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 15, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-9, -18, -6, 3, 1]], [7, [31, 61, 41, 11, 1]], [11, [-9, -18, -6, 3, 1]]], 'hecke_orbit': 33, 'hecke_orbit_code': 144115188109416070, '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': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '5766.2.a.bg', 'level': 5766, '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, 31], 'level_radical': 186, 'minimal_twist': '186.2.m.a', 'nf_label': '4.4.1125.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}+(-\\beta _{2}+\\beta _{3})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5766.2.a', 'trace_display': [4, 4, -3, -11], 'trace_hash': 2064819644711299988, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.704', 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-0.10035267741219586, -0.20832579267288565, -0.282610643173684, -0.32607988635224544, -0.2705760366057485, -0.26011632151524583, -0.4285729490656754, -0.38106080838338185, -0.21542296647032924, -0.25191309825539954, -0.14242788017610036, -0.06862502724470383, -0.39169149270614084, -0.26621543709400497], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 3, 'dual_embedding_m': 3, 'embedding_index': 3, 'embedding_m': 3, 'embedding_root_imag': 0.0, 'embedding_root_real': 1.8270909152852017, 'hecke_orbit': 33, 'hecke_orbit_code': 144115188109416070, 'label': '5766.2.a.bg.1.3', 'level': 5766, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [15, 24, 20, 19, 22, 16, 13, 26], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [15, 16, 16, 16, 16, 16, 16, 16], 'ALdims_old': [90, 103, 100, 94, 98, 96, 107, 86], 'Nk2': 23064, 'analytic_conductor': 46.04174180547027, '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': [5766, 1, [3845, 3847], [1, 1]], 'conrey_index': 1, 'cusp_dim': 929, 'dim': 155, 'eis_dim': 127, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 33560198, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8], 'label': '5766.2.a', 'level': 5766, '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, 31], 'level_radical': 186, 'mf_dim': 1056, 'mf_new_dim': 155, 'num_forms': 44, 'plus_dim': 63, 'prim_orbit_index': 1, 'relative_dim': 155, 'sturm_bound': 1984, 'trace_bound': 5, 'trace_display': [-1, 1, -6, 0], 'traces': [155, -1, 1, 155, -6, 1, 0, -1, 155, -2, -4, 1, 2, 0, -2, 155, -2, -1, -8, -6, 8, 12, 8, 1, 161, -6, 1, 0, 10, 6, 0, -1, 0, -2, 24, 155, 18, 20, 14, -2, 14, 0, 20, -4, -6, 16, 8, 1, 147, 1, -2, 2, -14, 1, -16, 0, 4, 2, -12, -2, -14, 0, 0, 155, 12, 4, 0, -2, -24, 8, 0, -1, -18, -14, -1, -8, 16, -6, -8, -6, 155, -2, -28, 8, 28, 12, 6, 12, -26, -2, -8, 8, 0, 0, -16, 1, -2, -25, -4, 161, -30, -2, 0, -6, -8, -6, 36, 1, -18, 8, -2, 0, 22, 4, 8, 10, 2, -16, -48, 6, 171, -6, -14, 0, -12, 0, 16, -1, 16, -36, 4, 0, 8, -12, -2, -2, 22, -16, -4, 24, 8, 24, 24, 155, 20, -10, 25, 18, -6, 15, 16, 20, -2, 8, 0, 14, 22, -32, -26, -2, 32, -1, 56, 14, 8, 20, 8, 0, 169, 20, -8, 20, 10, -14, 72, -4, 12, -26, -12, -6, 18, 32, 14, 16, 44, 0, 48, 8, 8, 24, 8, 1, -42, -2, 44, 147, 50, 12, -32, 1, 20, 14, 16, -2, 60, 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32, -28, -54, 16, -8, 78, 32, 0, 2, 62, 0, -476, -2, -48, 96, 176, -6, -26, 48, 42, 0, 26, 14, -64, -12, -8, -32, -28, 4, 132, -12, 22, -40, -74, -6, 40, 0, 72, -40, -48, -2, 0, -884, 36, -2, -956, 8, -160, 43, 16, -972, 68, 1, 16, 8, 74, -14, -930, 4, 96, 10, -18, -4, 8, -6, 36, -852, -72, 16, 56, 8, -16, 0, -700, 32, -32, 16, -842, -60, -2, 12], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48783591
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 144115188109416070, 'source_is_minimal': False, 'source_label': '5766.2.a.bg.1.3', 'source_level': 5766, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 144115188109416070, 'target_is_minimal': False, 'target_label': '5766.2.a.bg.1.3', 'target_level': 5766, 'twist_class_label': '186.2.m.a.169.1', 'twist_class_level': 186, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48783592
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 144115188109416070, 'source_is_minimal': False, 'source_label': '5766.2.a.bg.1.3', 'source_level': 5766, 'target_conrey_index': 169, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 824667275450, 'target_is_minimal': True, 'target_label': '186.2.m.a.169.1', 'target_level': 186, 'twist_class_label': '186.2.m.a.169.1', 'twist_class_level': 186, 'twisting_char_label': '31.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 48783593
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 144115188109416070, 'source_is_minimal': False, 'source_label': '5766.2.a.bg.1.3', 'source_level': 5766, 'target_conrey_index': 175, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 824667275450, 'target_is_minimal': True, 'target_label': '186.2.m.a.175.1', 'target_level': 186, 'twist_class_label': '186.2.m.a.169.1', 'twist_class_level': 186, 'twisting_char_label': '31.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48783594
{'conductor': 31, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 144115188109416070, 'source_is_minimal': False, 'source_label': '5766.2.a.bg.1.3', 'source_level': 5766, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 126100789599934086, 'target_is_minimal': False, 'target_label': '5766.2.a.bc.1.3', 'target_level': 5766, 'twist_class_label': '186.2.m.a.169.1', 'twist_class_level': 186, 'twisting_char_label': '31.30', 'twisting_conrey_index': 30, 'weight': 2}
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id: 48783595
{'conductor': 93, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 144115188109416070, 'source_is_minimal': False, 'source_label': '5766.2.a.bg.1.3', 'source_level': 5766, 'target_conrey_index': 361, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18016185249432110, 'target_is_minimal': False, 'target_label': '558.2.ba.e.361.1', 'target_level': 558, 'twist_class_label': '186.2.m.a.169.1', 'twist_class_level': 186, 'twisting_char_label': '93.50', 'twisting_conrey_index': 50, 'weight': 2}
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id: 48783596
{'conductor': 93, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 144115188109416070, 'source_is_minimal': False, 'source_label': '5766.2.a.bg.1.3', 'source_level': 5766, 'target_conrey_index': 541, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18016185249432110, 'target_is_minimal': False, 'target_label': '558.2.ba.e.541.1', 'target_level': 558, 'twist_class_label': '186.2.m.a.169.1', 'twist_class_level': 186, 'twisting_char_label': '93.80', 'twisting_conrey_index': 80, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3992975
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 144115188109416070, 'p': 2}
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id: 3992976
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 144115188109416070, 'p': 3}
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id: 3992977
{'charpoly_factorization': [[[-9, -18, -6, 3, 1], 1]], 'hecke_orbit_code': 144115188109416070, 'p': 5}
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id: 3992978
{'charpoly_factorization': [[[31, 61, 41, 11, 1], 1]], 'hecke_orbit_code': 144115188109416070, 'p': 7}
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id: 3992979
{'charpoly_factorization': [[[-9, -18, -6, 3, 1], 1]], 'hecke_orbit_code': 144115188109416070, 'p': 11}
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id: 3992980
{'charpoly_factorization': [[[-29, 31, -4, -4, 1], 1]], 'hecke_orbit_code': 144115188109416070, 'p': 13}
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id: 3992981
{'charpoly_factorization': [[[45, 135, 75, 15, 1], 1]], 'hecke_orbit_code': 144115188109416070, 'p': 17}
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id: 3992982
{'charpoly_factorization': [[[271, 13, -46, 2, 1], 1]], 'hecke_orbit_code': 144115188109416070, 'p': 19}
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id: 3992983
{'charpoly_factorization': [[[81, -108, -36, 3, 1], 1]], 'hecke_orbit_code': 144115188109416070, 'p': 23}
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id: 3992984
{'charpoly_factorization': [[[-9, 36, 6, -9, 1], 1]], 'hecke_orbit_code': 144115188109416070, 'p': 29}
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id: 3992985
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 144115188109416070, 'p': 31}
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id: 3992986
{'charpoly_factorization': [[[151, -113, -46, 8, 1], 1]], 'hecke_orbit_code': 144115188109416070, 'p': 37}
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id: 3992987
{'charpoly_factorization': [[[-549, -297, -6, 12, 1], 1]], 'hecke_orbit_code': 144115188109416070, 'p': 41}
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id: 3992988
{'charpoly_factorization': [[[-905, 490, -40, -10, 1], 1]], 'hecke_orbit_code': 144115188109416070, 'p': 43}
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id: 3992989
{'charpoly_factorization': [[[-144, -144, -24, 6, 1], 1]], 'hecke_orbit_code': 144115188109416070, 'p': 47}
-
id: 3992990
{'charpoly_factorization': [[[-1359, -711, -69, 9, 1], 1]], 'hecke_orbit_code': 144115188109416070, 'p': 53}
-
id: 3992991
{'charpoly_factorization': [[[-10809, -2124, 6, 21, 1], 1]], 'hecke_orbit_code': 144115188109416070, 'p': 59}
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id: 3992992
{'charpoly_factorization': [[[1945, 1555, 395, 35, 1], 1]], 'hecke_orbit_code': 144115188109416070, 'p': 61}
-
id: 3992993
{'charpoly_factorization': [[[-4799, -1322, -16, 17, 1], 1]], 'hecke_orbit_code': 144115188109416070, 'p': 67}
-
id: 3992994
{'charpoly_factorization': [[[-7569, -2088, -51, 18, 1], 1]], 'hecke_orbit_code': 144115188109416070, 'p': 71}
-
id: 3992995
{'charpoly_factorization': [[[31, -41, -49, -1, 1], 1]], 'hecke_orbit_code': 144115188109416070, 'p': 73}
-
id: 3992996
{'charpoly_factorization': [[[-59, -62, 44, 17, 1], 1]], 'hecke_orbit_code': 144115188109416070, 'p': 79}
-
id: 3992997
{'charpoly_factorization': [[[3771, -324, -159, 6, 1], 1]], 'hecke_orbit_code': 144115188109416070, 'p': 83}
-
id: 3992998
{'charpoly_factorization': [[[-9, 36, -39, 6, 1], 1]], 'hecke_orbit_code': 144115188109416070, 'p': 89}
-
id: 3992999
{'charpoly_factorization': [[[-1049, -482, 14, 17, 1], 1]], 'hecke_orbit_code': 144115188109416070, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 33, 'label': '5766.2.a.bg', 'level': 5766, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 69083605
{'hecke_orbit_code': 144115188109416070, 'n': 1, 'trace_an': 4}
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id: 69083606
{'hecke_orbit_code': 144115188109416070, 'n': 2, 'trace_an': 4}
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id: 69083607
{'hecke_orbit_code': 144115188109416070, 'n': 3, 'trace_an': 4}
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id: 69083608
{'hecke_orbit_code': 144115188109416070, 'n': 4, 'trace_an': 4}
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id: 69083609
{'hecke_orbit_code': 144115188109416070, 'n': 5, 'trace_an': -3}
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id: 69083610
{'hecke_orbit_code': 144115188109416070, 'n': 6, 'trace_an': 4}
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id: 69083611
{'hecke_orbit_code': 144115188109416070, 'n': 7, 'trace_an': -11}
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id: 69083612
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