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{'Nk2': 38304, 'analytic_conductor': 76.4647449755781, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [7, 1], [19, -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': [9576, 1, [7183, 4789, 5321, 4105, 1009], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-4, 2, 1]], [11, [4, -6, 1]], [13, [4, 6, 1]], [17, [20, 10, 1]]], 'hecke_orbit': 33, 'hecke_orbit_code': 144115188109419880, 'hecke_ring_generator_nbound': 5, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '9576.2.a.bg', 'level': 9576, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'minimal_twist': '9576.2.a.bg', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1-\\beta )q^{5}-q^{7}+(3-\\beta )q^{11}+(-3+\\cdots)q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9576.2.a', 'trace_display': [0, 0, -2, -2], 'trace_hash': 696094686774757506, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.031', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.986', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.080', 'prec': 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mf_hecke_cc • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [19, -1]], 9, 4], [[[2, 1], [3, 1], [7, -1], [19, -1]], 6, 4], [[[2, 1], [3, -1], [7, -1], [19, 1]], 9, 4], [[[2, 1], [3, 1], [7, -1], [19, 1]], 7, 4], [[[2, -1], [3, 1], [7, -1], [19, 1]], 7, 4], [[[2, 1], [3, -1], [7, 1], [19, 1]], 12, 5], [[[2, -1], [3, 1], [7, -1], [19, -1]], 6, 4], [[[2, 1], [3, 1], [7, 1], [19, 1]], 6, 3], [[[2, 1], [3, -1], [7, -1], [19, -1]], 12, 4], [[[2, -1], [3, -1], [7, 1], [19, -1]], 11, 6], [[[2, 1], [3, -1], [7, 1], [19, -1]], 9, 5], [[[2, -1], [3, -1], [7, 1], [19, 1]], 9, 4], [[[2, -1], [3, 1], [7, 1], [19, -1]], 7, 4], [[[2, 1], [3, 1], [7, 1], [19, -1]], 7, 4], [[[2, -1], [3, 1], [7, 1], [19, 1]], 6, 3], [[[2, -1], [3, -1], [7, -1], [19, 1]], 11, 5]], 'ALdims': [6, 7, 7, 6, 12, 9, 9, 12, 6, 7, 7, 6, 9, 11, 11, 9], 'Nk2': 38304, 'analytic_conductor': 76.4647449755781, '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': [9576, 1, [7183, 4789, 5321, 4105, 1009], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1889, 'dim': 134, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17], 'hecke_orbit_code': 33564008, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5], 'label': '9576.2.a', 'level': 9576, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'mf_dim': 1952, 'mf_new_dim': 134, 'num_forms': 67, 'plus_dim': 62, 'prim_orbit_index': 1, 'relative_dim': 134, 'sturm_bound': 3840, 'trace_bound': 17, 'trace_display': [0, 0, 4, 0], 'traces': [134, 0, 0, 0, 4, 0, 0, 0, 0, 0, -12, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 134, 0, 0, 0, -4, 0, 16, 0, 0, 0, -12, 0, 4, 0, 0, 0, -4, 0, 20, 0, 0, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 48795484
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 144115188109419880, 'source_is_minimal': True, 'source_label': '9576.2.a.bg.1.2', 'source_level': 9576, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 144115188109419880, 'target_is_minimal': True, 'target_label': '9576.2.a.bg.1.2', 'target_level': 9576, 'twist_class_label': '9576.2.a.bg.1.2', 'twist_class_level': 9576, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48795485
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 144115188109419880, 'source_is_minimal': True, 'source_label': '9576.2.a.bg.1.2', 'source_level': 9576, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 184647584755754344, 'target_is_minimal': True, 'target_label': '9576.2.a.bp.1.1', 'target_level': 9576, 'twist_class_label': '9576.2.a.bg.1.2', 'twist_class_level': 9576, '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: 5067025
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 144115188109419880, 'p': 2}
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id: 5067026
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 144115188109419880, 'p': 3}
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id: 5067027
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 144115188109419880, 'p': 5}
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id: 5067028
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 144115188109419880, 'p': 7}
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id: 5067029
{'charpoly_factorization': [[[4, -6, 1], 1]], 'hecke_orbit_code': 144115188109419880, 'p': 11}
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id: 5067030
{'charpoly_factorization': [[[4, 6, 1], 1]], 'hecke_orbit_code': 144115188109419880, 'p': 13}
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id: 5067031
{'charpoly_factorization': [[[20, 10, 1], 1]], 'hecke_orbit_code': 144115188109419880, 'p': 17}
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id: 5067032
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 144115188109419880, 'p': 19}
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id: 5067033
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 144115188109419880, 'p': 23}
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id: 5067034
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 144115188109419880, 'p': 29}
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id: 5067035
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 144115188109419880, 'p': 31}
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id: 5067036
{'charpoly_factorization': [[[-80, 0, 1], 1]], 'hecke_orbit_code': 144115188109419880, 'p': 37}
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id: 5067037
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 144115188109419880, 'p': 41}
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id: 5067038
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 144115188109419880, 'p': 43}
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id: 5067039
{'charpoly_factorization': [[[-16, -4, 1], 1]], 'hecke_orbit_code': 144115188109419880, 'p': 47}
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id: 5067040
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 144115188109419880, 'p': 53}
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id: 5067041
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 144115188109419880, 'p': 59}
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id: 5067042
{'charpoly_factorization': [[[-4, -8, 1], 1]], 'hecke_orbit_code': 144115188109419880, 'p': 61}
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id: 5067043
{'charpoly_factorization': [[[4, -6, 1], 1]], 'hecke_orbit_code': 144115188109419880, 'p': 67}
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id: 5067044
{'charpoly_factorization': [[[16, -12, 1], 1]], 'hecke_orbit_code': 144115188109419880, 'p': 71}
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id: 5067045
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 144115188109419880, 'p': 73}
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id: 5067046
{'charpoly_factorization': [[[36, -18, 1], 1]], 'hecke_orbit_code': 144115188109419880, 'p': 79}
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id: 5067047
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 144115188109419880, 'p': 83}
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id: 5067048
{'charpoly_factorization': [[[-76, -4, 1], 1]], 'hecke_orbit_code': 144115188109419880, 'p': 89}
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id: 5067049
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 144115188109419880, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 33, 'label': '9576.2.a.bg', 'level': 9576, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 268238000
{'hecke_orbit_code': 144115188109419880, 'n': 1, 'trace_an': 2}
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id: 268238001
{'hecke_orbit_code': 144115188109419880, 'n': 2, 'trace_an': 0}
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id: 268238002
{'hecke_orbit_code': 144115188109419880, 'n': 3, 'trace_an': 0}
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id: 268238003
{'hecke_orbit_code': 144115188109419880, 'n': 4, 'trace_an': 0}
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id: 268238004
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id: 268238998
{'hecke_orbit_code': 144115188109419880, 'n': 999, 'trace_an': 0}
-
id: 268238999
{'hecke_orbit_code': 144115188109419880, 'n': 1000, 'trace_an': 0}