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{'Nk2': 9576, 'analytic_conductor': 19.116186243894525, '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': [2394, 1, [533, 1711, 1009], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-2, 1]], [11, [-4, -4, 1]], [13, [-32, 0, 1]], [17, [8, -8, 1]]], 'hecke_orbit': 20, 'hecke_orbit_code': 85568392953596250, 'hecke_ring_generator_nbound': 11, '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': '2394.2.a.t', 'level': 2394, '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': '2394.2.a.t', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+2q^{5}+q^{7}-q^{8}-2q^{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': '2394.2.a', 'trace_display': [-2, 0, 4, 2], 'trace_hash': 1862874229750373835, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.034', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.991', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.126', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.204', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '73.679', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.029', 'prec': 17}, 'traces': [2, -2, 0, 2, 4, 0, 2, -2, 0, -4, 4, 0, 0, -2, 0, 2, 8, 0, -2, 4, 0, -4, 8, 0, -2, 0, 0, 2, 4, 0, -4, -2, 0, -8, 4, 0, 0, 2, 0, -4, 4, 0, 8, 4, 0, -8, 8, 0, 2, 2, 0, 0, -4, 0, 8, -2, 0, -4, 16, 0, -4, 4, 0, 2, 0, 0, -8, 8, 0, -4, 0, 0, -4, 0, 0, -2, 4, 0, 4, 4, 0, -4, 12, 0, 16, -8, 0, -4, 4, 0, 0, 8, 0, -8, -4, 0, -20, -2, 0, -2, 12, 0, -20, 0, 0, 4, 0, 0, -16, -8, 0, 2, -12, 0, 16, 4, 0, -16, 8, 0, 2, 4, 0, -4, -24, 0, 20, -2, 0, 0, 4, 0, -2, 8, 0, -8, 16, 0, -24, 4, 0, 0, 32, 0, 8, 4, 0, 0, -4, 0, 4, 2, 0, -4, -8, 0, 4, -4, 0, -4, 8, 0, 24, 4, 0, -12, 0, 0, 38, -16, 0, 8, -4, 0, -2, 4, 0, -4, -8, 0, 8, 0, 0, -8, 0, 0, 32, 8, 0, 4, -16, 0, -20, 20, 0, 2, 20, 0, 24, 2, 0, -12, 4, 0, 8, 20, 0, 0, -4, 0, 16, -4, 0, 0, 16, 0, -4, 16, 0, 8, 32, 0, -12, -2, 0, 12, 0, 0, -4, 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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [19, -1]], 2, 2], [[[2, 1], [3, 1], [7, -1], [19, -1]], 3, 3], [[[2, 1], [3, -1], [7, -1], [19, 1]], 2, 1], [[[2, 1], [3, 1], [7, -1], [19, 1]], 2, 1], [[[2, -1], [3, 1], [7, -1], [19, 1]], 2, 1], [[[2, 1], [3, -1], [7, 1], [19, 1]], 4, 2], [[[2, -1], [3, 1], [7, -1], [19, -1]], 3, 3], [[[2, 1], [3, 1], [7, 1], [19, 1]], 3, 1], [[[2, 1], [3, -1], [7, -1], [19, -1]], 4, 2], [[[2, -1], [3, -1], [7, 1], [19, -1]], 5, 3], [[[2, 1], [3, -1], [7, 1], [19, -1]], 2, 2], [[[2, -1], [3, -1], [7, 1], [19, 1]], 2, 2], [[[2, -1], [3, 1], [7, 1], [19, -1]], 2, 1], [[[2, 1], [3, 1], [7, 1], [19, -1]], 2, 1], [[[2, -1], [3, 1], [7, 1], [19, 1]], 3, 1], [[[2, -1], [3, -1], [7, -1], [19, 1]], 5, 3]], 'ALdims': [3, 2, 2, 3, 4, 2, 2, 4, 3, 2, 2, 3, 2, 5, 5, 2], 'Nk2': 9576, 'analytic_conductor': 19.116186243894525, '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': [2394, 1, [533, 1711, 1009], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 465, 'dim': 46, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17], 'hecke_orbit_code': 33556826, 'hecke_orbit_dims': [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, 3, 3, 3], 'label': '2394.2.a', 'level': 2394, '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': 496, 'mf_new_dim': 46, 'num_forms': 29, 'plus_dim': 18, 'prim_orbit_index': 1, 'relative_dim': 46, 'sturm_bound': 960, 'trace_bound': 11, 'trace_display': [2, 0, -4, 0], 'traces': [46, 2, 0, 46, -4, 0, 0, 2, 0, 4, -4, 0, 12, 0, 0, 46, 12, 0, 0, -4, 0, 0, 0, 0, 78, 12, 0, 0, 4, 0, 0, 2, 0, -4, -4, 0, 12, 0, 0, 4, 28, 0, -12, -4, 0, -24, 8, 0, 46, 14, 0, 12, 12, 0, 8, 0, 0, -8, 24, 0, 12, 8, 0, 46, 16, 0, 16, 12, 0, 0, -24, 0, -68, 0, 0, 0, -8, 0, -16, -4, 0, 20, -32, 0, 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240, 0, 0, -80, 0, 208, -16, 0, -432, 96, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48248441
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 85568392953596250, 'source_is_minimal': True, 'source_label': '2394.2.a.t.1.2', 'source_level': 2394, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568392953596250, 'target_is_minimal': True, 'target_label': '2394.2.a.t.1.2', 'target_level': 2394, 'twist_class_label': '2394.2.a.t.1.2', 'twist_class_level': 2394, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48248442
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 85568392953596250, 'source_is_minimal': True, 'source_label': '2394.2.a.t.1.2', 'source_level': 2394, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580966746, 'target_is_minimal': True, 'target_label': '2394.2.a.u.1.1', 'target_level': 2394, 'twist_class_label': '2394.2.a.t.1.2', 'twist_class_level': 2394, '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: 2622550
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 85568392953596250, 'p': 2}
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id: 2622551
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 85568392953596250, 'p': 3}
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id: 2622552
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 85568392953596250, 'p': 5}
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id: 2622553
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 85568392953596250, 'p': 7}
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id: 2622554
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 85568392953596250, 'p': 11}
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id: 2622555
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 85568392953596250, 'p': 13}
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id: 2622556
{'charpoly_factorization': [[[8, -8, 1], 1]], 'hecke_orbit_code': 85568392953596250, 'p': 17}
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id: 2622557
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 85568392953596250, 'p': 19}
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id: 2622558
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 85568392953596250, 'p': 23}
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id: 2622559
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 85568392953596250, 'p': 29}
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id: 2622560
{'charpoly_factorization': [[[-4, 4, 1], 1]], 'hecke_orbit_code': 85568392953596250, 'p': 31}
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id: 2622561
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 85568392953596250, 'p': 37}
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id: 2622562
{'charpoly_factorization': [[[-28, -4, 1], 1]], 'hecke_orbit_code': 85568392953596250, 'p': 41}
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id: 2622563
{'charpoly_factorization': [[[-16, -8, 1], 1]], 'hecke_orbit_code': 85568392953596250, 'p': 43}
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id: 2622564
{'charpoly_factorization': [[[-56, -8, 1], 1]], 'hecke_orbit_code': 85568392953596250, 'p': 47}
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id: 2622565
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 85568392953596250, 'p': 53}
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id: 2622566
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 85568392953596250, 'p': 59}
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id: 2622567
{'charpoly_factorization': [[[-124, 4, 1], 1]], 'hecke_orbit_code': 85568392953596250, 'p': 61}
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id: 2622568
{'charpoly_factorization': [[[8, 8, 1], 1]], 'hecke_orbit_code': 85568392953596250, 'p': 67}
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id: 2622569
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 85568392953596250, 'p': 71}
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id: 2622570
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 85568392953596250, 'p': 73}
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id: 2622571
{'charpoly_factorization': [[[-28, -4, 1], 1]], 'hecke_orbit_code': 85568392953596250, 'p': 79}
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id: 2622572
{'charpoly_factorization': [[[4, -12, 1], 1]], 'hecke_orbit_code': 85568392953596250, 'p': 83}
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id: 2622573
{'charpoly_factorization': [[[-124, -4, 1], 1]], 'hecke_orbit_code': 85568392953596250, 'p': 89}
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id: 2622574
{'charpoly_factorization': [[[28, 20, 1], 1]], 'hecke_orbit_code': 85568392953596250, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 20, 'label': '2394.2.a.t', 'level': 2394, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 246524000
{'hecke_orbit_code': 85568392953596250, 'n': 1, 'trace_an': 2}
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