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{'Nk2': 20216, 'analytic_conductor': 40.356393181555106, 'analytic_rank': 0, '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': 4, 'field_disc': 151572, 'field_disc_factorization': [[2, 2], [3, 1], [17, 1], [743, 1]], 'field_poly': [4, 8, -10, -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, [4, 8, -10, -1, 1]], [5, [36, 3, -17, -1, 1]], [13, [-98, 145, -25, -5, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463080894, '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': False, 'label': '5054.2.a.x', '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.f.d', 'nf_label': '4.4.151572.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+\\beta _{1}q^{3}+q^{4}+(\\beta _{1}+\\beta _{3})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5054.2.a', 'trace_display': [4, 1, 1, 4], 'trace_hash': 1922779454380191864, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.027', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.778', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.806', 'prec': 17}, {'__RealLiteral__': 0, 'data': '41.600', 'prec': 20}, {'__RealLiteral__': 0, 'data': '11.922', 'prec': 20}, {'__RealLiteral__': 0, 'data': '726.109', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, 'traces': [4, 4, 1, 4, 1, 1, 4, 4, 9, 1, 7, 1, 5, 4, 12, 4, 2, 9, 0, 1, 1, 7, 5, 1, 15, 5, 1, 4, -4, 12, 6, 4, -19, 2, 1, 9, -10, 0, -6, 1, 17, 1, 18, 7, -19, 5, -4, 1, 4, 15, -22, 5, 10, 1, -10, 4, 0, -4, 20, 12, 9, 6, 9, 4, 3, -19, 7, 2, -24, 1, -21, 9, 21, -10, -35, 0, 7, -6, -8, 1, 40, 17, -12, 1, 10, 18, 36, 7, -34, -19, 5, 5, 6, -4, 0, 1, -5, 4, 14, 15, -12, -22, 28, 5, 12, 10, 6, 1, 0, -10, -26, 4, -24, 0, -47, -4, 71, 20, 2, 12, -11, 9, 25, 6, 33, 9, -33, 4, 0, 3, -2, -19, 0, 7, 72, 2, 10, -24, 1, 1, 36, -21, 16, 9, -14, 21, 1, -10, 26, -35, -11, 0, -80, 7, 38, -6, 17, -8, -2, 1, 5, 40, 31, 17, 40, -12, -18, 1, 23, 10, 0, 18, 19, 36, 15, 7, 15, -34, -7, -19, -33, 5, -24, 5, -72, 6, 26, -4, 1, 0, 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-0.1826846057114122, -0.09340775508573308, -0.1873104171963344, -0.19347761628930657], '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': -0.3522708605874692, 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463080894, 'label': '5054.2.a.x.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, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 19], 'level_radical': 266, 'mf_dim': 800, 'mf_new_dim': 170, 'num_forms': 39, 'plus_dim': 68, 'prim_orbit_index': 1, 'relative_dim': 170, 'sturm_bound': 1520, 'trace_bound': 9, 'trace_display': [0, -2, -6, 0], 'traces': [170, 0, -2, 170, -6, 2, 0, 0, 162, -6, -8, -2, -2, 2, 0, 170, 0, 4, 0, -6, -2, 12, 8, 2, 166, -2, 4, 0, 16, 16, -28, 0, 24, -12, 2, 162, -16, 0, 16, -6, 8, -2, 0, -8, 18, 0, 36, -2, 170, 12, 44, -2, 20, 44, 32, 2, 0, 0, 26, 0, -6, 20, 12, 170, 52, 32, 8, 0, 32, 6, 0, 4, -4, 0, -14, 0, 4, 0, -40, -6, 174, 12, 26, -2, -4, 20, 36, 12, -28, -6, -14, 8, 8, -20, 0, 2, -32, 0, -56, 166, 34, 20, -36, -2, 24, -20, -8, 4, -48, -8, 4, 0, 8, 0, -8, 16, 22, 22, -4, 16, 174, 10, -4, -28, -36, -2, 40, 0, -16, -12, -30, 24, 0, 4, 16, -12, 36, -48, -34, 2, -32, 16, -88, 162, -12, -24, -2, -16, 24, 22, -16, 0, -32, 12, 16, 16, 54, -24, 4, -6, -8, -20, 16, 8, 32, 30, 52, -2, 134, -60, 0, 0, 54, -28, 4, -8, 68, 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1}
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mf_twists_cc • Show schema
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id: 48488775
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463080894, 'source_is_minimal': False, 'source_label': '5054.2.a.x.1.2', 'source_level': 5054, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 103582791463080894, 'target_is_minimal': False, 'target_label': '5054.2.a.x.1.2', 'target_level': 5054, 'twist_class_label': '266.2.f.d.197.2', 'twist_class_level': 266, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48488776
{'conductor': 19, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463080894, 'source_is_minimal': False, 'source_label': '5054.2.a.x.1.2', 'source_level': 5054, 'target_conrey_index': 197, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511142513049866, 'target_is_minimal': True, 'target_label': '266.2.f.d.197.2', 'target_level': 266, 'twist_class_label': '266.2.f.d.197.2', 'twist_class_level': 266, 'twisting_char_label': '19.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 48488777
{'conductor': 19, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463080894, 'source_is_minimal': False, 'source_label': '5054.2.a.x.1.2', 'source_level': 5054, 'target_conrey_index': 239, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511142513049866, 'target_is_minimal': True, 'target_label': '266.2.f.d.239.2', 'target_level': 266, 'twist_class_label': '266.2.f.d.197.2', 'twist_class_level': 266, 'twisting_char_label': '19.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 48488778
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463080894, 'source_is_minimal': False, 'source_label': '5054.2.a.x.1.2', 'source_level': 5054, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 99079191835710398, 'target_is_minimal': False, 'target_label': '5054.2.a.w.1.3', 'target_level': 5054, 'twist_class_label': '266.2.f.d.197.2', 'twist_class_level': 266, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 48488779
{'conductor': 57, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463080894, 'source_is_minimal': False, 'source_label': '5054.2.a.x.1.2', 'source_level': 5054, 'target_conrey_index': 1261, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 94576554281011546, 'target_is_minimal': False, 'target_label': '2394.2.o.v.1261.4', 'target_level': 2394, 'twist_class_label': '266.2.f.d.197.2', 'twist_class_level': 266, 'twisting_char_label': '57.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 48488780
{'conductor': 57, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463080894, 'source_is_minimal': False, 'source_label': '5054.2.a.x.1.2', 'source_level': 5054, 'target_conrey_index': 505, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 94576554281011546, 'target_is_minimal': False, 'target_label': '2394.2.o.v.505.4', 'target_level': 2394, 'twist_class_label': '266.2.f.d.197.2', 'twist_class_level': 266, 'twisting_char_label': '57.50', 'twisting_conrey_index': 50, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3785500
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 103582791463080894, 'p': 2}
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id: 3785501
{'charpoly_factorization': [[[4, 8, -10, -1, 1], 1]], 'hecke_orbit_code': 103582791463080894, 'p': 3}
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id: 3785502
{'charpoly_factorization': [[[36, 3, -17, -1, 1], 1]], 'hecke_orbit_code': 103582791463080894, 'p': 5}
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id: 3785503
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 103582791463080894, 'p': 7}
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id: 3785504
{'charpoly_factorization': [[[-12, 12, 8, -7, 1], 1]], 'hecke_orbit_code': 103582791463080894, 'p': 11}
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id: 3785505
{'charpoly_factorization': [[[-98, 145, -25, -5, 1], 1]], 'hecke_orbit_code': 103582791463080894, 'p': 13}
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id: 3785506
{'charpoly_factorization': [[[24, 156, -52, -2, 1], 1]], 'hecke_orbit_code': 103582791463080894, 'p': 17}
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id: 3785507
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 103582791463080894, 'p': 19}
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id: 3785508
{'charpoly_factorization': [[[462, 177, -59, -5, 1], 1]], 'hecke_orbit_code': 103582791463080894, 'p': 23}
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id: 3785509
{'charpoly_factorization': [[[48, -396, -80, 4, 1], 1]], 'hecke_orbit_code': 103582791463080894, 'p': 29}
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id: 3785510
{'charpoly_factorization': [[[-328, 292, -40, -6, 1], 1]], 'hecke_orbit_code': 103582791463080894, 'p': 31}
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id: 3785511
{'charpoly_factorization': [[[288, -240, -32, 10, 1], 1]], 'hecke_orbit_code': 103582791463080894, 'p': 37}
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id: 3785512
{'charpoly_factorization': [[[132, -216, 98, -17, 1], 1]], 'hecke_orbit_code': 103582791463080894, 'p': 41}
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id: 3785513
{'charpoly_factorization': [[[-16, -28, 68, -18, 1], 1]], 'hecke_orbit_code': 103582791463080894, 'p': 43}
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id: 3785514
{'charpoly_factorization': [[[48, -396, -80, 4, 1], 1]], 'hecke_orbit_code': 103582791463080894, 'p': 47}
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id: 3785515
{'charpoly_factorization': [[[72, 60, -16, -10, 1], 1]], 'hecke_orbit_code': 103582791463080894, 'p': 53}
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id: 3785516
{'charpoly_factorization': [[[-321, 198, 70, -20, 1], 1]], 'hecke_orbit_code': 103582791463080894, 'p': 59}
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id: 3785517
{'charpoly_factorization': [[[2552, 695, -121, -9, 1], 1]], 'hecke_orbit_code': 103582791463080894, 'p': 61}
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id: 3785518
{'charpoly_factorization': [[[-16, -72, -68, -7, 1], 1]], 'hecke_orbit_code': 103582791463080894, 'p': 67}
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id: 3785519
{'charpoly_factorization': [[[66, 159, 109, 21, 1], 1]], 'hecke_orbit_code': 103582791463080894, 'p': 71}
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id: 3785520
{'charpoly_factorization': [[[-8392, 1796, 14, -21, 1], 1]], 'hecke_orbit_code': 103582791463080894, 'p': 73}
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id: 3785521
{'charpoly_factorization': [[[5504, -288, -176, 8, 1], 1]], 'hecke_orbit_code': 103582791463080894, 'p': 79}
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id: 3785522
{'charpoly_factorization': [[[-11061, -3126, -182, 12, 1], 1]], 'hecke_orbit_code': 103582791463080894, 'p': 83}
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id: 3785523
{'charpoly_factorization': [[[2112, 1728, 392, 34, 1], 1]], 'hecke_orbit_code': 103582791463080894, 'p': 89}
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id: 3785524
{'charpoly_factorization': [[[388, -148, -84, 5, 1], 1]], 'hecke_orbit_code': 103582791463080894, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 24, 'label': '5054.2.a.x', '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: 255635000
{'hecke_orbit_code': 103582791463080894, 'n': 1, 'trace_an': 4}
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id: 255635001
{'hecke_orbit_code': 103582791463080894, 'n': 2, 'trace_an': 4}
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id: 255635002
{'hecke_orbit_code': 103582791463080894, 'n': 3, 'trace_an': 1}
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id: 255635003
{'hecke_orbit_code': 103582791463080894, 'n': 4, 'trace_an': 4}
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id: 255635004
{'hecke_orbit_code': 103582791463080894, 'n': 5, 'trace_an': 1}
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id: 255635005
{'hecke_orbit_code': 103582791463080894, 'n': 6, 'trace_an': 1}
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id: 255635006
{'hecke_orbit_code': 103582791463080894, 'n': 7, 'trace_an': 4}
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id: 255635007
{'hecke_orbit_code': 103582791463080894, 'n': 8, 'trace_an': 4}
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id: 255635008
{'hecke_orbit_code': 103582791463080894, 'n': 9, 'trace_an': 9}
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id: 255635009
{'hecke_orbit_code': 103582791463080894, 'n': 10, 'trace_an': 1}
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