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{'Nk2': 38088, 'analytic_conductor': 76.03355280466319, 'analytic_rank': 1, '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, [-23, -35, -6, 13, 7, 1]], [7, [23, -35, 6, 13, -7, 1]], [11, [-1, 15, 53, 50, 13, 1]], [29, [-1693, 1164, 413, -75, -7, 1]]], 'hecke_orbit': 43, 'hecke_orbit_code': 189151184383124786, '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': '9522.2.a.bq', '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.a', 'nf_label': '5.5.14641.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+(-1-\\beta _{3}+\\beta _{4})q^{5}+(2+\\cdots)q^{7}+\\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, -7, 7], 'trace_hash': 297247266908587418, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.758', 'prec': 17}, 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'embedding_root_imag': 0.0, 'embedding_root_real': -0.8308300260037729, 'hecke_orbit': 43, 'hecke_orbit_code': 189151184383124786, 'label': '9522.2.a.bq.1.1', 'level': 9522, 'weight': 2}
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mf_newspaces • Show schema
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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_cc • Show schema
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id: 48971072
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 189151184383124786, 'source_is_minimal': False, 'source_label': '9522.2.a.bq.1.1', 'source_level': 9522, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 189151184383124786, 'target_is_minimal': False, 'target_label': '9522.2.a.bq.1.1', 'target_level': 9522, 'twist_class_label': '138.2.e.a.55.1', 'twist_class_level': 138, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48971073
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 189151184383124786, 'source_is_minimal': False, 'source_label': '9522.2.a.bq.1.1', 'source_level': 9522, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 130604389227301990, 'target_is_minimal': False, 'target_label': '3174.2.a.bd.1.5', 'target_level': 3174, 'twist_class_label': '138.2.e.a.55.1', 'twist_class_level': 138, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48971074
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 189151184383124786, 'source_is_minimal': False, 'source_label': '9522.2.a.bq.1.1', 'source_level': 9522, 'target_conrey_index': 271, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671480222, 'target_is_minimal': False, 'target_label': '414.2.i.d.271.1', 'target_level': 414, 'twist_class_label': '138.2.e.a.55.1', 'twist_class_level': 138, 'twisting_char_label': '23.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 48971075
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 189151184383124786, 'source_is_minimal': False, 'source_label': '9522.2.a.bq.1.1', 'source_level': 9522, 'target_conrey_index': 55, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671480222, 'target_is_minimal': False, 'target_label': '414.2.i.d.55.1', 'target_level': 414, 'twist_class_label': '138.2.e.a.55.1', 'twist_class_level': 138, 'twisting_char_label': '23.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 48971076
{'conductor': 23, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 189151184383124786, 'source_is_minimal': False, 'source_label': '9522.2.a.bq.1.1', 'source_level': 9522, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 202661983265236274, 'target_is_minimal': False, 'target_label': '9522.2.a.bt.1.5', 'target_level': 9522, 'twist_class_label': '138.2.e.a.55.1', 'twist_class_level': 138, 'twisting_char_label': '23.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 48971077
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 189151184383124786, 'source_is_minimal': False, 'source_label': '9522.2.a.bq.1.1', 'source_level': 9522, 'target_conrey_index': 55, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461514, 'target_is_minimal': True, 'target_label': '138.2.e.a.55.1', 'target_level': 138, 'twist_class_label': '138.2.e.a.55.1', 'twist_class_level': 138, 'twisting_char_label': '69.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 48971078
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 189151184383124786, 'source_is_minimal': False, 'source_label': '9522.2.a.bq.1.1', 'source_level': 9522, 'target_conrey_index': 133, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461514, 'target_is_minimal': True, 'target_label': '138.2.e.a.133.1', 'target_level': 138, 'twist_class_label': '138.2.e.a.55.1', 'twist_class_level': 138, 'twisting_char_label': '69.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 48971079
{'conductor': 69, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 189151184383124786, 'source_is_minimal': False, 'source_label': '9522.2.a.bq.1.1', 'source_level': 9522, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 126100789599931494, 'target_is_minimal': False, 'target_label': '3174.2.a.bc.1.1', 'target_level': 3174, 'twist_class_label': '138.2.e.a.55.1', 'twist_class_level': 138, 'twisting_char_label': '69.68', 'twisting_conrey_index': 68, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 5050825
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 189151184383124786, 'p': 2}
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id: 5050826
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 189151184383124786, 'p': 3}
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id: 5050827
{'charpoly_factorization': [[[-23, -35, -6, 13, 7, 1], 1]], 'hecke_orbit_code': 189151184383124786, 'p': 5}
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id: 5050828
{'charpoly_factorization': [[[23, -35, 6, 13, -7, 1], 1]], 'hecke_orbit_code': 189151184383124786, 'p': 7}
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id: 5050829
{'charpoly_factorization': [[[-1, 15, 53, 50, 13, 1], 1]], 'hecke_orbit_code': 189151184383124786, 'p': 11}
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id: 5050830
{'charpoly_factorization': [[[1, -13, -27, -9, 4, 1], 1]], 'hecke_orbit_code': 189151184383124786, 'p': 13}
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id: 5050831
{'charpoly_factorization': [[[-43, -84, -31, 17, 9, 1], 1]], 'hecke_orbit_code': 189151184383124786, 'p': 17}
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id: 5050832
{'charpoly_factorization': [[[-253, -363, 176, 11, -11, 1], 1]], 'hecke_orbit_code': 189151184383124786, 'p': 19}
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id: 5050833
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 189151184383124786, 'p': 23}
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id: 5050834
{'charpoly_factorization': [[[-1693, 1164, 413, -75, -7, 1], 1]], 'hecke_orbit_code': 189151184383124786, 'p': 29}
-
id: 5050835
{'charpoly_factorization': [[[-947, -1561, -733, -69, 8, 1], 1]], 'hecke_orbit_code': 189151184383124786, 'p': 31}
-
id: 5050836
{'charpoly_factorization': [[[-23, 80, -96, 51, -12, 1], 1]], 'hecke_orbit_code': 189151184383124786, 'p': 37}
-
id: 5050837
{'charpoly_factorization': [[[23, -195, 195, -37, -10, 1], 1]], 'hecke_orbit_code': 189151184383124786, 'p': 41}
-
id: 5050838
{'charpoly_factorization': [[[439, 273, -149, -97, -4, 1], 1]], 'hecke_orbit_code': 189151184383124786, 'p': 43}
-
id: 5050839
{'charpoly_factorization': [[[10649, -10380, 1520, 83, -24, 1], 1]], 'hecke_orbit_code': 189151184383124786, 'p': 47}
-
id: 5050840
{'charpoly_factorization': [[[19009, 3689, -1450, -170, 9, 1], 1]], 'hecke_orbit_code': 189151184383124786, 'p': 53}
-
id: 5050841
{'charpoly_factorization': [[[-5633, -384, 532, -3, -14, 1], 1]], 'hecke_orbit_code': 189151184383124786, 'p': 59}
-
id: 5050842
{'charpoly_factorization': [[[-52933, 12281, 958, -243, -5, 1], 1]], 'hecke_orbit_code': 189151184383124786, 'p': 61}
-
id: 5050843
{'charpoly_factorization': [[[-42481, 2292, 2125, -181, -13, 1], 1]], 'hecke_orbit_code': 189151184383124786, 'p': 67}
-
id: 5050844
{'charpoly_factorization': [[[-38609, -505, 1679, -36, -19, 1], 1]], 'hecke_orbit_code': 189151184383124786, 'p': 71}
-
id: 5050845
{'charpoly_factorization': [[[15377, 25001, 599, -317, -4, 1], 1]], 'hecke_orbit_code': 189151184383124786, 'p': 73}
-
id: 5050846
{'charpoly_factorization': [[[49169, 16927, 115, -251, -4, 1], 1]], 'hecke_orbit_code': 189151184383124786, 'p': 79}
-
id: 5050847
{'charpoly_factorization': [[[25673, -5936, -1751, 50, 24, 1], 1]], 'hecke_orbit_code': 189151184383124786, 'p': 83}
-
id: 5050848
{'charpoly_factorization': [[[9637, 1054, -797, -130, 4, 1], 1]], 'hecke_orbit_code': 189151184383124786, 'p': 89}
-
id: 5050849
{'charpoly_factorization': [[[149381, 15019, -3342, -335, 9, 1], 1]], 'hecke_orbit_code': 189151184383124786, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 43, 'label': '9522.2.a.bq', 'level': 9522, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 274813000
{'hecke_orbit_code': 189151184383124786, 'n': 1, 'trace_an': 5}
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id: 274813001
{'hecke_orbit_code': 189151184383124786, 'n': 2, 'trace_an': -5}
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id: 274813002
{'hecke_orbit_code': 189151184383124786, 'n': 3, 'trace_an': 0}
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id: 274813003
{'hecke_orbit_code': 189151184383124786, 'n': 4, 'trace_an': 5}
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id: 274813004
{'hecke_orbit_code': 189151184383124786, 'n': 5, 'trace_an': -7}
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id: 274813005
{'hecke_orbit_code': 189151184383124786, 'n': 6, 'trace_an': 0}
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id: 274813006
{'hecke_orbit_code': 189151184383124786, 'n': 7, 'trace_an': 7}
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id: 274813007
{'hecke_orbit_code': 189151184383124786, 'n': 8, 'trace_an': -5}
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id: 274813008
{'hecke_orbit_code': 189151184383124786, 'n': 9, 'trace_an': 0}
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id: 274813009
{'hecke_orbit_code': 189151184383124786, 'n': 10, 'trace_an': 7}
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