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{'Nk2': 38088, 'analytic_conductor': 76.03355280466319, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [23, 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': [9522, 1, [2117, 1063], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 5, 'field_disc': 14641, 'field_disc_factorization': [[11, 4]], 'field_poly': [-1, 3, 3, -4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 22, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-1, 3, 14, -15, -1, 1]], [7, [253, -231, 22, 33, -11, 1]], [11, [253, -143, -77, 22, 11, 1]], [29, [23, 14, -69, -37, 1, 1]]], 'hecke_orbit': 45, 'hecke_orbit_code': 198158383637865778, 'hecke_ring_generator_nbound': 7, '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': '9522.2.a.bs', 'level': 9522, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 23], 'level_radical': 138, 'minimal_twist': '138.2.e.b', 'nf_label': '5.5.14641.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+(1-2\\beta _{1}+\\beta _{2}+\\beta _{4})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9522.2.a', 'trace_display': [-5, 0, 1, 11], 'trace_hash': 1464988654742151248, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.038', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.688', 'prec': 17}, 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mf_hecke_nf • Show schema
Hide schema
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-5, -1, -23], [-23, -36, 20, -31, 13], [41, -33, -3, -2, 35], [-45, 8, -22, 26, -10], [-7, 18, -16, 26, -12], [-35, 35, 5, -1, -40], [9, 5, 17, 22, 31], [-38, 24, 27, 14, 33], [8, 22, -1, -13, 7], [-39, 21, -2, -1, 18], [-17, 7, -10, 19, -48], [-26, 44, 5, 1, -37], [-17, -44, 35, -25, 16], [-9, 29, -53, 2, 1], [-21, 30, -3, 15, -8], [-25, 18, -12, -43, 5], [-68, 31, -9, 8, -21], [-28, 32, -37, 20, -2], [-40, -9, -51, 27, 6], [-48, 16, -25, -22, -12], [-28, 33, -4, 13, -28], [-27, 33, 11, -12, -14], [17, 25, 5, -19, 33], [46, -44, 48, -42, 70], [11, -32, 25, -19, 41], [6, -24, -18, -3, 31], [-32, 26, -34, 31, -21], [-24, -10, 17, -29, 33], [29, -15, 45, -35, -13], [-10, 65, -32, 41, -34], [-27, 29, -36, 9, -22], [-10, 35, -3, 25, -9], [-13, 25, -28, 42, -13], [0, 17, -6, -17, -30], [-12, 47, -29, 39, -13], [-8, 9, 38, -5, -4], [33, -19, 24, -20, -23], [27, -17, 6, -17, 32], [-10, -5, -24, 7, -16], [-53, 24, 0, -3, -21], [50, -3, 27, -4, -1], [53, -11, -18, -18, -4], [1, 1, -36, 13, 12], [37, -36, -9, -47, 7], [51, -26, -3, -6, 8], [10, -8, -22, 2, 0]], 'char_orbit_index': 1, 'field_poly': [-1, 3, 3, -4, -1, 1], 'hecke_orbit_code': 198158383637865778, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [2, 0, 1, 0, 0], [0, 3, 0, 1, 0], [6, 0, 4, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [-2, 0, 1, 0, 0], [0, -3, 0, 1, 0], [2, 0, -4, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 5, 'label': '9522.2.a.bs', 'level': 9522, 'maxp': 3313, 'weight': 2}
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{'AL_dims': [[[[2, -1], [3, -1], [23, 1]], 27, 7], [[[2, -1], [3, -1], [23, -1]], 36, 17], [[[2, 1], [3, -1], [23, 1]], 33, 8], [[[2, 1], [3, 1], [23, 1]], 24, 3], [[[2, 1], [3, -1], [23, -1]], 30, 12], [[[2, -1], [3, 1], [23, -1]], 18, 6], [[[2, -1], [3, 1], [23, 1]], 24, 3], [[[2, 1], [3, 1], [23, -1]], 18, 6]], 'ALdims': [24, 18, 33, 30, 24, 18, 27, 36], 'Nk2': 38088, 'analytic_conductor': 76.03355280466319, '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': [9522, 1, [2117, 1063], [1, 1]], 'conrey_index': 1, 'cusp_dim': 1561, 'dim': 210, 'eis_dim': 191, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 29], 'hecke_orbit_code': 33563954, 'hecke_orbit_dims': [1, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 8, 8, 8, 10, 10, 10, 10], 'label': '9522.2.a', 'level': 9522, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 23], 'level_radical': 138, 'mf_dim': 1752, 'mf_new_dim': 210, 'num_forms': 62, 'plus_dim': 99, 'prim_orbit_index': 1, 'relative_dim': 210, 'sturm_bound': 3312, 'trace_bound': 29, 'trace_display': [0, 0, 2, -4], 'traces': [210, 0, 0, 210, 2, 0, -4, 0, 0, -2, -10, 0, 4, 4, 0, 210, -8, 0, -2, 2, 0, 6, 0, 0, 202, 0, 0, -4, -4, 0, -20, 0, 0, 12, -36, 0, -2, -10, 0, -2, 12, 0, -6, -10, 0, 0, 4, 0, 206, -8, 0, 4, 18, 0, 12, 4, 0, 20, 4, 0, -6, -12, 0, 210, 12, 0, 22, -8, 0, 8, -8, 0, 24, 34, 0, -2, 40, 0, 28, 2, 0, 24, 34, 0, 64, -6, 0, 6, 12, 0, 24, 0, 0, 8, 20, 0, -8, 16, 0, 202, -56, 0, 32, 0, 0, 6, 18, 0, 18, -28, 0, -4, -36, 0, 0, -4, 0, 24, 0, 0, 238, 22, 0, -20, 12, 0, -28, 0, 0, 36, -36, 0, 40, 22, 0, 12, 40, 0, 28, -36, 0, -16, -12, 0, -12, -8, 0, -2, -30, 0, -28, -10, 0, 0, -56, 0, -42, 36, 0, -2, 0, 0, 52, 12, 0, -22, 4, 0, 182, 36, 0, -6, 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'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1436082
{'conductor': 69, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '9522.2.a.bs', 'source_level': 9522, 'target_char_orbit': 5, 'target_dim': 10, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '138.2.e.b', 'target_level': 138, 'twist_class_label': '138.2.e.b', 'twist_class_level': 138, 'twisting_char_label': '69.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1436083
{'conductor': 23, 'degree': 10, 'multiplicity': 2, 'order': 11, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '9522.2.a.bs', 'source_level': 9522, 'target_char_orbit': 9, 'target_dim': 10, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '414.2.i.e', 'target_level': 414, 'twist_class_label': '138.2.e.b', 'twist_class_level': 138, 'twisting_char_label': '23.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1436084
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '9522.2.a.bs', 'source_level': 9522, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '3174.2.a.ba', 'target_level': 3174, 'twist_class_label': '138.2.e.b', 'twist_class_level': 138, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1436085
{'conductor': 69, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '9522.2.a.bs', 'source_level': 9522, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '3174.2.a.bb', 'target_level': 3174, 'twist_class_label': '138.2.e.b', 'twist_class_level': 138, 'twisting_char_label': '69.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1436086
{'conductor': 23, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '9522.2.a.bs', 'source_level': 9522, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 44, 'target_is_minimal': False, 'target_label': '9522.2.a.br', 'target_level': 9522, 'twist_class_label': '138.2.e.b', 'twist_class_level': 138, 'twisting_char_label': '23.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1436087
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 45, 'source_is_minimal': False, 'source_label': '9522.2.a.bs', 'source_level': 9522, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '9522.2.a.bs', 'target_level': 9522, 'twist_class_label': '138.2.e.b', 'twist_class_level': 138, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 5050900
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 198158383637865778, 'p': 2}
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id: 5050901
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 198158383637865778, 'p': 3}
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id: 5050902
{'charpoly_factorization': [[[-1, 3, 14, -15, -1, 1], 1]], 'hecke_orbit_code': 198158383637865778, 'p': 5}
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id: 5050903
{'charpoly_factorization': [[[253, -231, 22, 33, -11, 1], 1]], 'hecke_orbit_code': 198158383637865778, 'p': 7}
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id: 5050904
{'charpoly_factorization': [[[253, -143, -77, 22, 11, 1], 1]], 'hecke_orbit_code': 198158383637865778, 'p': 11}
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id: 5050905
{'charpoly_factorization': [[[109, -437, 113, 29, -12, 1], 1]], 'hecke_orbit_code': 198158383637865778, 'p': 13}
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id: 5050906
{'charpoly_factorization': [[[-529, 322, 47, -37, -1, 1], 1]], 'hecke_orbit_code': 198158383637865778, 'p': 17}
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id: 5050907
{'charpoly_factorization': [[[-67, 185, -182, 79, -15, 1], 1]], 'hecke_orbit_code': 198158383637865778, 'p': 19}
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id: 5050908
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 198158383637865778, 'p': 23}
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id: 5050909
{'charpoly_factorization': [[[23, 14, -69, -37, 1, 1], 1]], 'hecke_orbit_code': 198158383637865778, 'p': 29}
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id: 5050910
{'charpoly_factorization': [[[-23, 97, 203, 101, 18, 1], 1]], 'hecke_orbit_code': 198158383637865778, 'p': 31}
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id: 5050911
{'charpoly_factorization': [[[-373, -74, 118, 7, -10, 1], 1]], 'hecke_orbit_code': 198158383637865778, 'p': 37}
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id: 5050912
{'charpoly_factorization': [[[659, -941, 243, 43, -16, 1], 1]], 'hecke_orbit_code': 198158383637865778, 'p': 41}
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id: 5050913
{'charpoly_factorization': [[[-7127, -717, 809, 13, -18, 1], 1]], 'hecke_orbit_code': 198158383637865778, 'p': 43}
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id: 5050914
{'charpoly_factorization': [[[4817, 2682, 82, -97, -4, 1], 1]], 'hecke_orbit_code': 198158383637865778, 'p': 47}
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id: 5050915
{'charpoly_factorization': [[[-529, 465, 146, -114, -1, 1], 1]], 'hecke_orbit_code': 198158383637865778, 'p': 53}
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id: 5050916
{'charpoly_factorization': [[[-11309, 6538, -24, -159, 2, 1], 1]], 'hecke_orbit_code': 198158383637865778, 'p': 59}
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id: 5050917
{'charpoly_factorization': [[[3389, 2423, -102, -169, 1, 1], 1]], 'hecke_orbit_code': 198158383637865778, 'p': 61}
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id: 5050918
{'charpoly_factorization': [[[32429, -10782, 325, 233, -29, 1], 1]], 'hecke_orbit_code': 198158383637865778, 'p': 67}
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id: 5050919
{'charpoly_factorization': [[[-5093, -2849, 1463, -110, -11, 1], 1]], 'hecke_orbit_code': 198158383637865778, 'p': 71}
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id: 5050920
{'charpoly_factorization': [[[17621, 14257, -1349, -245, 8, 1], 1]], 'hecke_orbit_code': 198158383637865778, 'p': 73}
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id: 5050921
{'charpoly_factorization': [[[-4817, 7335, -3305, 563, -40, 1], 1]], 'hecke_orbit_code': 198158383637865778, 'p': 79}
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id: 5050922
{'charpoly_factorization': [[[-1, 12, -29, 8, 8, 1], 1]], 'hecke_orbit_code': 198158383637865778, 'p': 83}
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id: 5050923
{'charpoly_factorization': [[[-55177, 21916, 141, -302, 2, 1], 1]], 'hecke_orbit_code': 198158383637865778, 'p': 89}
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id: 5050924
{'charpoly_factorization': [[[-3013, 951, 3046, -199, -17, 1], 1]], 'hecke_orbit_code': 198158383637865778, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 45, 'label': '9522.2.a.bs', 'level': 9522, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 275667000
{'hecke_orbit_code': 198158383637865778, 'n': 1, 'trace_an': 5}
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id: 275667001
{'hecke_orbit_code': 198158383637865778, 'n': 2, 'trace_an': -5}
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id: 275667002
{'hecke_orbit_code': 198158383637865778, 'n': 3, 'trace_an': 0}
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id: 275667003
{'hecke_orbit_code': 198158383637865778, 'n': 4, 'trace_an': 5}
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id: 275667004
{'hecke_orbit_code': 198158383637865778, 'n': 5, 'trace_an': 1}
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id: 275667005
{'hecke_orbit_code': 198158383637865778, 'n': 6, 'trace_an': 0}
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id: 275667006
{'hecke_orbit_code': 198158383637865778, 'n': 7, 'trace_an': 11}
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id: 275667007
{'hecke_orbit_code': 198158383637865778, 'n': 8, 'trace_an': -5}
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id: 275667008
{'hecke_orbit_code': 198158383637865778, 'n': 9, 'trace_an': 0}
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id: 275667009
{'hecke_orbit_code': 198158383637865778, 'n': 10, 'trace_an': -1}
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id: 275667010
{'hecke_orbit_code': 198158383637865778, 'n': 11, 'trace_an': -11}
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id: 275667011
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