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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': 8, 'field_disc': 19520000000, 'field_disc_factorization': [[2, 12], [5, 7], [61, 1]], 'field_poly': [-4, -32, -72, -24, 50, 16, -12, -2, 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, [-19, -74, 2, 98, 15, -38, -8, 4, 1]], [5, [-19, -18, 138, 254, 90, -46, -22, 2, 1]], [13, [905, 2960, 2600, 290, -505, -170, 10, 10, 1]]], 'hecke_orbit': 34, 'hecke_orbit_code': 148618787736785854, 'hecke_ring_generator_nbound': 5, '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': True, 'label': '5054.2.a.bh', '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': '5054.2.a.bg', 'nf_label': '8.8.19520000000.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+(-1-\\beta _{2}-\\beta _{5})q^{3}+q^{4}+(-\\beta _{1}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5054.2.a', 'trace_display': [8, -4, -2, 8], 'trace_hash': 1520598966707646826, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 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-0.30566189332536536, -0.31487034276546444, -0.06356552868189085, -0.35943246796320394, -0.36819064678676133, -0.12214804550561732, -0.4181847487873125, -0.1973769777697851, -0.35730962683760986, -0.39429027428333907, -0.2108271150881789, -0.31578418502505146, -0.2454788944854475, -0.10106400478036638, -0.28647623892255875, -0.32118467094729536, -0.09610675216035897, -0.11911450009963907, -0.3133566441956258, -0.2270252758364102, -0.25897164076769674], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': -0.23628607686402314, 'hecke_orbit': 34, 'hecke_orbit_code': 148618787736785854, 'label': '5054.2.a.bh.1.2', 'level': 5054, 'weight': 2}
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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: 48805741
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 148618787736785854, 'source_is_minimal': True, 'source_label': '5054.2.a.bh.1.2', 'source_level': 5054, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 148618787736785854, 'target_is_minimal': True, 'target_label': '5054.2.a.bh.1.2', 'target_level': 5054, 'twist_class_label': '5054.2.a.bg.1.7', 'twist_class_level': 5054, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48805742
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 148618787736785854, 'source_is_minimal': True, 'source_label': '5054.2.a.bh.1.2', 'source_level': 5054, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 144115188109415358, 'target_is_minimal': True, 'target_label': '5054.2.a.bg.1.7', 'target_level': 5054, 'twist_class_label': '5054.2.a.bg.1.7', 'twist_class_level': 5054, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3785775
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 148618787736785854, 'p': 2}
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id: 3785776
{'charpoly_factorization': [[[-19, -74, 2, 98, 15, -38, -8, 4, 1], 1]], 'hecke_orbit_code': 148618787736785854, 'p': 3}
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id: 3785777
{'charpoly_factorization': [[[-19, -18, 138, 254, 90, -46, -22, 2, 1], 1]], 'hecke_orbit_code': 148618787736785854, 'p': 5}
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id: 3785778
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 148618787736785854, 'p': 7}
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id: 3785779
{'charpoly_factorization': [[[-779, 3212, 3268, 4, -710, -156, 28, 12, 1], 1]], 'hecke_orbit_code': 148618787736785854, 'p': 11}
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id: 3785780
{'charpoly_factorization': [[[905, 2960, 2600, 290, -505, -170, 10, 10, 1], 1]], 'hecke_orbit_code': 148618787736785854, 'p': 13}
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id: 3785781
{'charpoly_factorization': [[[-24719, -1556, 19052, 8822, 295, -462, -58, 6, 1], 1]], 'hecke_orbit_code': 148618787736785854, 'p': 17}
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id: 3785782
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 148618787736785854, 'p': 19}
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id: 3785783
{'charpoly_factorization': [[[-5795, 8380, 4320, -3940, -1910, 20, 120, 20, 1], 1]], 'hecke_orbit_code': 148618787736785854, 'p': 23}
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id: 3785784
{'charpoly_factorization': [[[-2179, -10792, 948, 5736, 690, -424, -52, 8, 1], 1]], 'hecke_orbit_code': 148618787736785854, 'p': 29}
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id: 3785785
{'charpoly_factorization': [[[4541, 9258, 3238, -2394, -1630, -154, 78, 18, 1], 1]], 'hecke_orbit_code': 148618787736785854, 'p': 31}
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id: 3785786
{'charpoly_factorization': [[[-396379, -895876, -648248, -193748, -21470, 948, 432, 36, 1], 1]], 'hecke_orbit_code': 148618787736785854, 'p': 37}
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id: 3785787
{'charpoly_factorization': [[[-9559, 17886, 7402, -17662, 5855, -78, -148, 4, 1], 1]], 'hecke_orbit_code': 148618787736785854, 'p': 41}
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id: 3785788
{'charpoly_factorization': [[[2944801, -2593096, -234638, 159352, 8455, -2872, -158, 16, 1], 1]], 'hecke_orbit_code': 148618787736785854, 'p': 43}
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id: 3785789
{'charpoly_factorization': [[[8597405, -2495090, -820830, 152430, 23210, -2390, -270, 10, 1], 1]], 'hecke_orbit_code': 148618787736785854, 'p': 47}
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id: 3785790
{'charpoly_factorization': [[[-48299, -468648, 292448, 12624, -17470, -1256, 248, 32, 1], 1]], 'hecke_orbit_code': 148618787736785854, 'p': 53}
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id: 3785791
{'charpoly_factorization': [[[29921, 22338, -27882, -4054, 3350, 206, -122, -2, 1], 1]], 'hecke_orbit_code': 148618787736785854, 'p': 59}
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id: 3785792
{'charpoly_factorization': [[[7421, 9638, -2202, -3414, 610, 346, -82, -2, 1], 1]], 'hecke_orbit_code': 148618787736785854, 'p': 61}
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id: 3785793
{'charpoly_factorization': [[[-51619, -238284, -324498, -155152, -13985, 3072, 662, 44, 1], 1]], 'hecke_orbit_code': 148618787736785854, 'p': 67}
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id: 3785794
{'charpoly_factorization': [[[17936, -24832, -40832, 8416, 3960, -544, -112, 8, 1], 1]], 'hecke_orbit_code': 148618787736785854, 'p': 71}
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id: 3785795
{'charpoly_factorization': [[[27334525, 14084100, 564300, -461650, -17665, 6270, -10, -30, 1], 1]], 'hecke_orbit_code': 148618787736785854, 'p': 73}
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id: 3785796
{'charpoly_factorization': [[[-6438695, -3898520, -206650, 375860, 125995, 18660, 1470, 60, 1], 1]], 'hecke_orbit_code': 148618787736785854, 'p': 79}
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id: 3785797
{'charpoly_factorization': [[[-23760304, -3954912, 1543488, 284096, -22020, -5264, -12, 28, 1], 1]], 'hecke_orbit_code': 148618787736785854, 'p': 83}
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id: 3785798
{'charpoly_factorization': [[[580621, 3478988, 1255068, -396734, -15385, 7246, -222, -22, 1], 1]], 'hecke_orbit_code': 148618787736785854, 'p': 89}
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id: 3785799
{'charpoly_factorization': [[[-1404719, -1126874, 1442622, -378162, 18750, 3962, -378, -6, 1], 1]], 'hecke_orbit_code': 148618787736785854, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 34, 'label': '5054.2.a.bh', '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: 268603000
{'hecke_orbit_code': 148618787736785854, 'n': 1, 'trace_an': 8}
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id: 268603001
{'hecke_orbit_code': 148618787736785854, 'n': 2, 'trace_an': 8}
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id: 268603002
{'hecke_orbit_code': 148618787736785854, 'n': 3, 'trace_an': -4}
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id: 268603003
{'hecke_orbit_code': 148618787736785854, 'n': 4, 'trace_an': 8}
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id: 268603004
{'hecke_orbit_code': 148618787736785854, 'n': 5, 'trace_an': -2}
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id: 268603005
{'hecke_orbit_code': 148618787736785854, 'n': 6, 'trace_an': -4}
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id: 268603006
{'hecke_orbit_code': 148618787736785854, 'n': 7, 'trace_an': 8}
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id: 268603007
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id: 268603999
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