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{'Nk2': 20216, 'analytic_conductor': 40.356393181555106, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 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': [5054, 1, [1445, 1807], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 13, 'field_disc_factorization': [[13, 1]], 'field_poly': [-3, -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, [-3, 1, 1]], [5, [-3, -1, 1]], [13, [-4, 6, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543041470, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '5054.2.a.e', 'level': 5054, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 19], 'level_radical': 266, 'minimal_twist': '266.2.a.c', 'nf_label': '2.2.13.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-\\beta q^{3}+q^{4}+(1-\\beta )q^{5}+\\beta q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5054.2.a', 'trace_display': [-2, -1, 1, 2], 'trace_hash': 340672901491692206, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.895', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.039', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '60.775', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, 'traces': [2, -2, -1, 2, 1, 1, 2, -2, 1, -1, -5, -1, -6, -2, 6, 2, 0, -1, 0, 1, -1, 5, -2, 1, -3, 6, -4, 2, 9, -6, 0, -2, 9, 0, 1, 1, -1, 0, -10, -1, -1, 1, -9, -5, -6, 2, 3, -1, 2, 3, 0, -6, -1, 4, 4, -2, 0, -9, 13, 6, -5, 0, 1, 2, -16, -9, 16, 0, -12, -1, 15, -1, 18, 1, 8, 0, -5, 10, -19, 1, -14, 1, -4, -1, 0, 9, -24, 5, -21, 6, -6, -2, 26, -3, 0, 1, -23, -2, -9, -3, -12, 0, -14, 6, 6, 1, -6, -4, -25, -4, 20, 2, 8, 0, -14, 9, 10, -13, 0, -6, -3, 5, -6, 0, 0, -1, 3, -2, -2, 16, 6, 9, 0, -16, -15, 0, -15, 12, 20, 1, -21, -15, 2, 1, -15, -18, -1, -1, 20, -8, 0, 0, 0, 5, 26, -10, 15, 19, 33, -1, -2, 14, -17, -1, -15, 4, 4, 1, 18, 0, 0, -9, -2, 24, -3, -5, 0, 21, -6, -6, 26, 6, -17, 2, 19, -26, 0, 3, -4, 0, 2, -1, -2, 23, -18, 2, 8, 9, 1, 3, -34, 12, 9, 0, -7, 14, 12, -6, 0, -6, -36, -1, -27, 6, -11, 4, 0, 25, 4, 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{'AL_dims': [[[[2, -1], [7, 1], [19, 1]], 22, 4], [[[2, -1], [7, -1], [19, -1]], 29, 6], [[[2, 1], [7, -1], [19, -1]], 16, 5], [[[2, 1], [7, -1], [19, 1]], 26, 4], [[[2, 1], [7, 1], [19, -1]], 25, 6], [[[2, -1], [7, -1], [19, 1]], 14, 4], [[[2, -1], [7, 1], [19, -1]], 20, 6], [[[2, 1], [7, 1], [19, 1]], 18, 4]], 'ALdims': [18, 25, 26, 16, 22, 20, 14, 29], 'Nk2': 20216, 'analytic_conductor': 40.356393181555106, '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': [5054, 1, [1445, 1807], [1, 1]], 'conrey_index': 1, 'cusp_dim': 721, 'dim': 170, 'eis_dim': 79, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 13], 'hecke_orbit_code': 33559486, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 9, 9, 12, 12], 'label': '5054.2.a', 'level': 5054, 'level_is_prime': False, 'level_is_prime_power': False, 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1}
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mf_twists_cc • Show schema
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id: 43952527
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398543041470, 'source_is_minimal': False, 'source_label': '5054.2.a.e.1.2', 'source_level': 5054, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398543041470, 'target_is_minimal': False, 'target_label': '5054.2.a.e.1.2', 'target_level': 5054, 'twist_class_label': '266.2.a.c.1.1', 'twist_class_level': 266, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43952528
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398543041470, 'source_is_minimal': False, 'source_label': '5054.2.a.e.1.2', 'source_level': 5054, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288295690, 'target_is_minimal': True, 'target_label': '266.2.a.c.1.1', 'target_level': 266, 'twist_class_label': '266.2.a.c.1.1', 'twist_class_level': 266, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 43952529
{'conductor': 57, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398543041470, 'source_is_minimal': False, 'source_label': '5054.2.a.e.1.2', 'source_level': 5054, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594071484762, 'target_is_minimal': False, 'target_label': '2394.2.a.q.1.1', 'target_level': 2394, 'twist_class_label': '266.2.a.c.1.1', 'twist_class_level': 266, 'twisting_char_label': '57.56', 'twisting_conrey_index': 56, 'weight': 2}
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id: 43952530
{'conductor': 76, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398543041470, 'source_is_minimal': False, 'source_label': '5054.2.a.e.1.2', 'source_level': 5054, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525197425150032, 'target_is_minimal': False, 'target_label': '2128.2.a.h.1.2', 'target_level': 2128, 'twist_class_label': '266.2.a.c.1.1', 'twist_class_level': 266, 'twisting_char_label': '76.75', 'twisting_conrey_index': 75, 'weight': 2}
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id: 43952531
{'conductor': 95, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398543041470, 'source_is_minimal': False, 'source_label': '5054.2.a.e.1.2', 'source_level': 5054, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 166633186246269434, 'target_is_minimal': False, 'target_label': '6650.2.a.bl.1.2', 'target_level': 6650, 'twist_class_label': '266.2.a.c.1.1', 'twist_class_level': 266, 'twisting_char_label': '95.94', 'twisting_conrey_index': 94, 'weight': 2}
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id: 43952532
{'conductor': 133, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398543041470, 'source_is_minimal': False, 'source_label': '5054.2.a.e.1.2', 'source_level': 5054, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539595934631750, 'target_is_minimal': False, 'target_label': '1862.2.a.l.1.2', 'target_level': 1862, 'twist_class_label': '266.2.a.c.1.1', 'twist_class_level': 266, 'twisting_char_label': '133.132', 'twisting_conrey_index': 132, 'weight': 2}
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id: 43952533
{'conductor': 152, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398543041470, 'source_is_minimal': False, 'source_label': '5054.2.a.e.1.2', 'source_level': 5054, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795189379392, 'target_is_minimal': False, 'target_label': '8512.2.a.n.1.2', 'target_level': 8512, 'twist_class_label': '266.2.a.c.1.1', 'twist_class_level': 266, 'twisting_char_label': '152.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 43952534
{'conductor': 152, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398543041470, 'source_is_minimal': False, 'source_label': '5054.2.a.e.1.2', 'source_level': 5054, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580972864, 'target_is_minimal': False, 'target_label': '8512.2.a.u.1.1', 'target_level': 8512, 'twist_class_label': '266.2.a.c.1.1', 'twist_class_level': 266, 'twisting_char_label': '152.75', 'twisting_conrey_index': 75, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3785050
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 18014398543041470, 'p': 2}
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id: 3785051
{'charpoly_factorization': [[[-3, 1, 1], 1]], 'hecke_orbit_code': 18014398543041470, 'p': 3}
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id: 3785052
{'charpoly_factorization': [[[-3, -1, 1], 1]], 'hecke_orbit_code': 18014398543041470, 'p': 5}
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id: 3785053
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 18014398543041470, 'p': 7}
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id: 3785054
{'charpoly_factorization': [[[3, 5, 1], 1]], 'hecke_orbit_code': 18014398543041470, 'p': 11}
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id: 3785055
{'charpoly_factorization': [[[-4, 6, 1], 1]], 'hecke_orbit_code': 18014398543041470, 'p': 13}
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id: 3785056
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014398543041470, 'p': 17}
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id: 3785057
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014398543041470, 'p': 19}
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id: 3785058
{'charpoly_factorization': [[[-12, 2, 1], 1]], 'hecke_orbit_code': 18014398543041470, 'p': 23}
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id: 3785059
{'charpoly_factorization': [[[-9, -9, 1], 1]], 'hecke_orbit_code': 18014398543041470, 'p': 29}
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id: 3785060
{'charpoly_factorization': [[[-52, 0, 1], 1]], 'hecke_orbit_code': 18014398543041470, 'p': 31}
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id: 3785061
{'charpoly_factorization': [[[-29, 1, 1], 1]], 'hecke_orbit_code': 18014398543041470, 'p': 37}
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id: 3785062
{'charpoly_factorization': [[[-3, 1, 1], 1]], 'hecke_orbit_code': 18014398543041470, 'p': 41}
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id: 3785063
{'charpoly_factorization': [[[17, 9, 1], 1]], 'hecke_orbit_code': 18014398543041470, 'p': 43}
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id: 3785064
{'charpoly_factorization': [[[-27, -3, 1], 1]], 'hecke_orbit_code': 18014398543041470, 'p': 47}
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id: 3785065
{'charpoly_factorization': [[[-81, 1, 1], 1]], 'hecke_orbit_code': 18014398543041470, 'p': 53}
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id: 3785066
{'charpoly_factorization': [[[39, -13, 1], 1]], 'hecke_orbit_code': 18014398543041470, 'p': 59}
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id: 3785067
{'charpoly_factorization': [[[-23, 5, 1], 1]], 'hecke_orbit_code': 18014398543041470, 'p': 61}
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id: 3785068
{'charpoly_factorization': [[[12, -16, 1], 1]], 'hecke_orbit_code': 18014398543041470, 'p': 67}
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id: 3785069
{'charpoly_factorization': [[[27, -15, 1], 1]], 'hecke_orbit_code': 18014398543041470, 'p': 71}
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id: 3785070
{'charpoly_factorization': [[[68, -18, 1], 1]], 'hecke_orbit_code': 18014398543041470, 'p': 73}
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id: 3785071
{'charpoly_factorization': [[[61, 19, 1], 1]], 'hecke_orbit_code': 18014398543041470, 'p': 79}
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id: 3785072
{'charpoly_factorization': [[[-48, 4, 1], 1]], 'hecke_orbit_code': 18014398543041470, 'p': 83}
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id: 3785073
{'charpoly_factorization': [[[81, 21, 1], 1]], 'hecke_orbit_code': 18014398543041470, 'p': 89}
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id: 3785074
{'charpoly_factorization': [[[129, 23, 1], 1]], 'hecke_orbit_code': 18014398543041470, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '5054.2.a.e', 'level': 5054, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 150390000
{'hecke_orbit_code': 18014398543041470, 'n': 1, 'trace_an': 2}
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id: 150390001
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id: 150390990
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id: 150390991
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id: 150390992
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id: 150390993
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id: 150390994
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id: 150390996
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id: 150390997
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id: 150390998
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id: 150390999
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