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{'Nk2': 16456, 'analytic_conductor': 32.85045539155475, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [11, 1], [17, 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': [4114, 1, [3027, 2179], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 321, 'field_disc_factorization': [[3, 1], [107, 1]], 'field_poly': [1, -4, -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': [[3, [-1, -4, 1, 1]], [5, [-9, -6, 3, 1]], [7, [3, -6, 1, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050394816745490, 'hecke_ring_generator_nbound': 3, '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': True, 'label': '4114.2.a.o', 'level': 4114, '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, 11, 17], 'level_radical': 374, 'minimal_twist': '4114.2.a.o', 'nf_label': '3.3.321.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-\\beta _{1}q^{3}+q^{4}+(-1+\\beta _{1}+\\beta _{2})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4114.2.a', 'trace_display': [-3, -1, -3, -1], 'trace_hash': 594013359901089678, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.965', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '23.060', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '258.596', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, 'traces': [3, -3, -1, 3, -3, 1, -1, -3, 0, 3, 0, -1, 7, 1, -6, 3, -3, 0, 3, -3, 2, 0, 2, 1, 6, -7, -4, -1, -2, 6, -8, -3, 0, 3, 12, 0, -19, -3, -11, 3, 1, -2, 5, 0, 18, -2, 3, -1, -8, -6, 1, 7, -10, 4, 0, 1, 18, 2, -12, -6, 4, 8, 11, 3, 0, 0, 14, -3, -4, -12, -16, 0, 23, 19, -7, 3, 0, 11, 13, -3, -9, -1, -31, 2, 3, -5, -20, 0, 1, -18, -4, 2, -18, -3, -6, 1, 6, 8, 0, 6, 15, -1, -7, -7, -9, 10, 0, -4, -6, 0, 22, -1, -28, -18, -24, -2, 7, 12, 1, 6, 0, -4, 10, -8, -24, -11, 2, -3, 2, 0, 12, 0, 15, -14, 0, 3, -3, 4, 8, 12, 6, 16, 0, 0, -6, -23, 8, -19, -5, 7, 6, -3, 0, 0, 0, -11, -26, -13, -28, 3, -26, 9, 17, 1, 0, 31, 3, -2, -14, -3, -3, 5, -20, 20, -40, 0, 42, -1, -60, 18, 7, 4, -8, -2, -6, 18, 0, 3, -13, 6, 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-
mf_newspaces • Show schema
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{'ALdims': [17, 19, 18, 18, 23, 13, 13, 23], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [47, 56, 60, 50, 49, 59, 57, 49], 'Nk2': 16456, 'analytic_conductor': 32.85045539155475, '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': [4114, 1, [3027, 2179], [1, 1]], 'conrey_index': 1, 'cusp_dim': 571, 'dim': 144, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 33558546, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 8, 8, 8, 8, 10, 10], 'label': '4114.2.a', 'level': 4114, '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, 11, 17], 'level_radical': 374, 'mf_dim': 618, 'mf_new_dim': 144, 'num_forms': 38, 'plus_dim': 61, 'prim_orbit_index': 1, 'relative_dim': 144, 'sturm_bound': 1188, 'trace_bound': 7, 'trace_display': [0, 2, 2, -4], 'traces': [144, 0, 2, 144, 2, -2, -4, 0, 140, 6, 0, 2, -4, -4, 8, 144, 2, -4, -8, 2, -16, 0, -8, -2, 148, 12, 20, -4, 6, 0, 4, 0, 0, -2, 24, 140, 6, 8, 4, 6, 12, 24, -28, 0, 58, -8, 40, 2, 120, 12, 2, -4, 28, 4, 0, -4, 32, 26, 28, 8, -38, 20, 36, 144, 36, 0, -20, 2, 64, 16, 48, -4, 8, 34, 86, -8, 0, 36, -40, 2, 180, 12, 28, -16, 6, 4, 72, 0, 72, 78, -136, -8, -64, 0, 48, -2, -132, 8, 0, 148, -4, -2, -136, 12, 40, 36, -22, 20, -10, 0, -120, -4, 64, -8, 16, 6, 20, -4, 4, 0, 0, -10, 28, 4, 12, -36, -32, 0, 0, -4, -30, 0, -176, -28, 56, -2, 20, 16, -30, 24, 40, -40, 0, 140, 12, -8, -142, 6, 0, -62, -40, 8, -2, 0, -8, 4, 0, -32, 28, 6, -40, -44, -90, 12, 0, 4, 4, 24, 128, -6, -88, -28, 30, 8, -60, 0, -24, 8, -8, 58, -186, -16, -8, -8, -20, 40, 0, 40, 40, -8, 72, 2, -4, -12, -64, 120, -70, 0, 0, 12, -88, 4, 64, 2, -36, -16, 24, -4, 0, 48, -74, 28, 40, -2, -8, 4, -48, 66, 68, 0, -16, -48, -48, -4, 160, -56, -14, 32, 56, 16, 0, 26, 56, 84, 0, 28, 8, 4, -96, 8, 28, 0, 142, -38, 154, -60, -112, 20, 72, 84, 36, 36, 0, 8, -24, 144, 52, 96, -80, 36, -2, 14, 16, 0, 124, 32, -76, -20, 58, -48, -24, 2, 8, 4, 0, 64, -42, -42, 92, 16, -140, 16, -26, 48, 24, 0, 72, -4, 144, 60, 76, 8, 152, -42, 80, 34, 0, 96, 112, 86, -88, 16, 188, -8, 12, -6, 16, 0, -72, -24, -4, 36, 108, -32, 224, -40, 78, -52, 0, 2, -12, -24, 0, 180, 84, -14, 16, 12, 56, 0, -76, 28, -322, -12, -296, -16, -144, 48, -348, 6, 0, -8, 64, 4, -208, 50, 66, 72, 20, -108, -56, 0, -276, 64, 168, 72, 32, -24, -56, 78, 144, 50, 0, -136, 44, -16, -56, -8, 132, 28, 136, -64, 140, 0, -160, 0, -36, 176, -70, 48, -144, 32, 112, -2, 0, -60, -76, -132, -376, 88, 16, 8, 60, 126, -112, 0, -170, 56, 16, 148, 60, -96, 40, -4, -182, -48, 0, -2, -76, 68, 44, -136, -48, -72, 16, 12, -60, 0, 174, 40, 52, -6, -320, 36, 2, -8, -72, -22, 0, 48, -40, 20, 0, 72, -224, -10, -48, 84, 72, 0, 44, 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-496, 124, -96, -48, -472, -108, 0, -48, -40, -388, -120, -4, -56, -60, -184, 160, 16, 0, -184, -56, 284, -200, -446, -14, 4, -40, 132, 32, 0, 104, 32, 56, -112, 28, -136, 16, 144, -372, -160, 0, 18, 40, -400, 26, -356, -176, -16, 56, -424, -64, 0, 84, 92, 96, 44, 0, 26, -60, -8, 28, -136, 0, 174, 8, -536, 240, -168, 4, 136, 124, 104, -96, 0, 56, -48, 8, 168, -12, -230, 28, 204, -304, -128, 0, -48, 20, 228, 142, -520, -128, -108, -38, -32, -12, 0, 154, -210, -328, -256, -60, 52, 14, -64, -112, 32, 0, 208, 20, 120, -56, 240, 72, 90, -34, -424, 84], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47786588
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816745490, 'source_is_minimal': True, 'source_label': '4114.2.a.o.1.3', 'source_level': 4114, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 63050394816745490, 'target_is_minimal': True, 'target_label': '4114.2.a.o.1.3', 'target_level': 4114, 'twist_class_label': '4114.2.a.o.1.3', 'twist_class_level': 4114, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47786589
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816745490, 'source_is_minimal': True, 'source_label': '4114.2.a.o.1.3', 'source_level': 4114, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 76561193698856978, 'target_is_minimal': True, 'target_label': '4114.2.a.r.1.3', 'target_level': 4114, 'twist_class_label': '4114.2.a.o.1.3', 'twist_class_level': 4114, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3503025
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 63050394816745490, 'p': 2}
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id: 3503026
{'charpoly_factorization': [[[-1, -4, 1, 1], 1]], 'hecke_orbit_code': 63050394816745490, 'p': 3}
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id: 3503027
{'charpoly_factorization': [[[-9, -6, 3, 1], 1]], 'hecke_orbit_code': 63050394816745490, 'p': 5}
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id: 3503028
{'charpoly_factorization': [[[3, -6, 1, 1], 1]], 'hecke_orbit_code': 63050394816745490, 'p': 7}
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id: 3503029
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 63050394816745490, 'p': 11}
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id: 3503030
{'charpoly_factorization': [[[-3, 12, -7, 1], 1]], 'hecke_orbit_code': 63050394816745490, 'p': 13}
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id: 3503031
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 63050394816745490, 'p': 17}
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id: 3503032
{'charpoly_factorization': [[[-27, -24, -3, 1], 1]], 'hecke_orbit_code': 63050394816745490, 'p': 19}
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id: 3503033
{'charpoly_factorization': [[[-24, -24, -2, 1], 1]], 'hecke_orbit_code': 63050394816745490, 'p': 23}
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id: 3503034
{'charpoly_factorization': [[[72, -48, 2, 1], 1]], 'hecke_orbit_code': 63050394816745490, 'p': 29}
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id: 3503035
{'charpoly_factorization': [[[-8, -28, 8, 1], 1]], 'hecke_orbit_code': 63050394816745490, 'p': 31}
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id: 3503036
{'charpoly_factorization': [[[159, 100, 19, 1], 1]], 'hecke_orbit_code': 63050394816745490, 'p': 37}
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id: 3503037
{'charpoly_factorization': [[[-9, -12, -1, 1], 1]], 'hecke_orbit_code': 63050394816745490, 'p': 41}
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id: 3503038
{'charpoly_factorization': [[[-69, -48, -5, 1], 1]], 'hecke_orbit_code': 63050394816745490, 'p': 43}
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id: 3503039
{'charpoly_factorization': [[[9, -6, -3, 1], 1]], 'hecke_orbit_code': 63050394816745490, 'p': 47}
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id: 3503040
{'charpoly_factorization': [[[-504, -48, 10, 1], 1]], 'hecke_orbit_code': 63050394816745490, 'p': 53}
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id: 3503041
{'charpoly_factorization': [[[-792, -60, 12, 1], 1]], 'hecke_orbit_code': 63050394816745490, 'p': 59}
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id: 3503042
{'charpoly_factorization': [[[-192, -96, -4, 1], 1]], 'hecke_orbit_code': 63050394816745490, 'p': 61}
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id: 3503043
{'charpoly_factorization': [[[24, 16, -14, 1], 1]], 'hecke_orbit_code': 63050394816745490, 'p': 67}
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id: 3503044
{'charpoly_factorization': [[[-216, 36, 16, 1], 1]], 'hecke_orbit_code': 63050394816745490, 'p': 71}
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id: 3503045
{'charpoly_factorization': [[[-207, 150, -23, 1], 1]], 'hecke_orbit_code': 63050394816745490, 'p': 73}
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id: 3503046
{'charpoly_factorization': [[[-9, 30, -13, 1], 1]], 'hecke_orbit_code': 63050394816745490, 'p': 79}
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id: 3503047
{'charpoly_factorization': [[[927, 300, 31, 1], 1]], 'hecke_orbit_code': 63050394816745490, 'p': 83}
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id: 3503048
{'charpoly_factorization': [[[-3, -6, -1, 1], 1]], 'hecke_orbit_code': 63050394816745490, 'p': 89}
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id: 3503049
{'charpoly_factorization': [[[-2, 1], 3]], 'hecke_orbit_code': 63050394816745490, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 15, 'label': '4114.2.a.o', 'level': 4114, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 59587915
{'hecke_orbit_code': 63050394816745490, 'n': 1, 'trace_an': 3}
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id: 59587916
{'hecke_orbit_code': 63050394816745490, 'n': 2, 'trace_an': -3}
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id: 59587917
{'hecke_orbit_code': 63050394816745490, 'n': 3, 'trace_an': -1}
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id: 59587918
{'hecke_orbit_code': 63050394816745490, 'n': 4, 'trace_an': 3}
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id: 59587919
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