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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, 'dim': 8, 'field_disc': 546984493056, 'field_disc_factorization': [[2, 16], [3, 6], [107, 2]], 'field_poly': [256, 0, -320, 0, 129, 0, -20, 0, 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': 1, 'hecke_cutters': [[5, [36, 0, -324, 0, 165, 0, -24, 0, 1]], [7, [256, 0, -320, 0, 129, 0, -20, 0, 1]], [11, [20736, 0, -8640, 0, 1161, 0, -60, 0, 1]], [29, [33, 42, -6, -6, 1]]], 'hecke_orbit': 56, 'hecke_orbit_code': 247697979538941234, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 23, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '9522.2.a.cd', 'level': 9522, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 23], 'level_radical': 138, 'minimal_twist': '9522.2.a.cd', 'nf_label': '8.8.546984493056.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+(\\beta _{1}+\\beta _{4})q^{5}+(-\\beta _{1}+\\beta _{2}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': 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-0.3137893322726703, -0.23216786004618326, -0.27921795653863907, -0.15620977044542414, -0.26535469947798, -0.28118470382974603, -0.39416041513363337, -0.23955458229324356, -0.14151048405043432, -0.2454828077348376, -0.1557129243619828, -0.2564979469788939, -0.18812721589223516, -0.16409407639352136, -0.20847754073345823, -0.2080814779646862, -0.27778308129782037, -0.3517906001875308, -0.2820451415261492, -0.38607754609080336, -0.2804603454240012, -0.398365486871768], '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': -1.255112827560121, 'hecke_orbit': 56, 'hecke_orbit_code': 247697979538941234, 'label': '9522.2.a.cd.1.2', 'level': 9522, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [24, 18, 33, 30, 24, 18, 27, 36], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [23, 24, 24, 24, 24, 24, 24, 24], 'ALdims_old': [163, 186, 165, 162, 174, 174, 171, 156], '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_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': 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, -32, 0, -12, -10, 0, 0, -8, 0, -30, -56, 0, 0, -12, 0, -84, 4, 0, -60, 36, 0, 40, 12, 0, 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-48, 0, 184, 140, 0, 186, 28, 0, 8, 116, 0, 60, 0, 0, 200, -130, 0, -80, -68, 0, -6, 96, 0, -44, 2, 0, -16, 68, 0, -204, 0, 0, -28, 0, 0, 104, -12, 0, 32, 32, 0, -312, 72, 0, 12], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49077819
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 247697979538941234, 'source_is_minimal': True, 'source_label': '9522.2.a.cd.1.2', 'source_level': 9522, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 247697979538941234, 'target_is_minimal': True, 'target_label': '9522.2.a.cd.1.2', 'target_level': 9522, 'twist_class_label': '9522.2.a.cd.1.2', 'twist_class_level': 9522, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49077820
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 247697979538941234, 'source_is_minimal': True, 'source_label': '9522.2.a.cd.1.2', 'source_level': 9522, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 256705178793682226, 'target_is_minimal': True, 'target_label': '9522.2.a.cf.1.7', 'target_level': 9522, 'twist_class_label': '9522.2.a.cd.1.2', 'twist_class_level': 9522, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49077821
{'conductor': 23, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 247697979538941234, 'source_is_minimal': True, 'source_label': '9522.2.a.cd.1.2', 'source_level': 9522, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 247697979538941234, 'target_is_minimal': True, 'target_label': '9522.2.a.cd.1.7', 'target_level': 9522, 'twist_class_label': '9522.2.a.cd.1.2', 'twist_class_level': 9522, 'twisting_char_label': '23.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 49077822
{'conductor': 69, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 247697979538941234, 'source_is_minimal': True, 'source_label': '9522.2.a.cd.1.2', 'source_level': 9522, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 256705178793682226, 'target_is_minimal': True, 'target_label': '9522.2.a.cf.1.2', 'target_level': 9522, 'twist_class_label': '9522.2.a.cd.1.2', 'twist_class_level': 9522, '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: 5051225
{'charpoly_factorization': [[[1, 1], 8]], 'hecke_orbit_code': 247697979538941234, 'p': 2}
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id: 5051226
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 247697979538941234, 'p': 3}
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id: 5051227
{'charpoly_factorization': [[[36, 0, -324, 0, 165, 0, -24, 0, 1], 1]], 'hecke_orbit_code': 247697979538941234, 'p': 5}
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id: 5051228
{'charpoly_factorization': [[[256, 0, -320, 0, 129, 0, -20, 0, 1], 1]], 'hecke_orbit_code': 247697979538941234, 'p': 7}
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id: 5051229
{'charpoly_factorization': [[[20736, 0, -8640, 0, 1161, 0, -60, 0, 1], 1]], 'hecke_orbit_code': 247697979538941234, 'p': 11}
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id: 5051230
{'charpoly_factorization': [[[-12, 36, -3, -6, 1], 2]], 'hecke_orbit_code': 247697979538941234, 'p': 13}
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id: 5051231
{'charpoly_factorization': [[[2304, 0, -9792, 0, 1668, 0, -84, 0, 1], 1]], 'hecke_orbit_code': 247697979538941234, 'p': 17}
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id: 5051232
{'charpoly_factorization': [[[65536, 0, -20480, 0, 2064, 0, -80, 0, 1], 1]], 'hecke_orbit_code': 247697979538941234, 'p': 19}
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id: 5051233
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 247697979538941234, 'p': 23}
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id: 5051234
{'charpoly_factorization': [[[33, 42, -6, -6, 1], 2]], 'hecke_orbit_code': 247697979538941234, 'p': 29}
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id: 5051235
{'charpoly_factorization': [[[144, 0, -51, 6, 1], 2]], 'hecke_orbit_code': 247697979538941234, 'p': 31}
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id: 5051236
{'charpoly_factorization': [[[4096576, 0, -690560, 0, 22452, 0, -260, 0, 1], 1]], 'hecke_orbit_code': 247697979538941234, 'p': 37}
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id: 5051237
{'charpoly_factorization': [[[-12, 12, 33, 12, 1], 2]], 'hecke_orbit_code': 247697979538941234, 'p': 41}
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id: 5051238
{'charpoly_factorization': [[[1982464, 0, -502784, 0, 22032, 0, -272, 0, 1], 1]], 'hecke_orbit_code': 247697979538941234, 'p': 43}
-
id: 5051239
{'charpoly_factorization': [[[-8832, -1440, 84, 24, 1], 2]], 'hecke_orbit_code': 247697979538941234, 'p': 47}
-
id: 5051240
{'charpoly_factorization': [[[27910089, 0, -2017440, 0, 47034, 0, -384, 0, 1], 1]], 'hecke_orbit_code': 247697979538941234, 'p': 53}
-
id: 5051241
{'charpoly_factorization': [[[96, 216, 105, 18, 1], 2]], 'hecke_orbit_code': 247697979538941234, 'p': 59}
-
id: 5051242
{'charpoly_factorization': [[[9048064, 0, -818432, 0, 23169, 0, -260, 0, 1], 1]], 'hecke_orbit_code': 247697979538941234, 'p': 61}
-
id: 5051243
{'charpoly_factorization': [[[495616, 0, -103424, 0, 7056, 0, -176, 0, 1], 1]], 'hecke_orbit_code': 247697979538941234, 'p': 67}
-
id: 5051244
{'charpoly_factorization': [[[-768, -576, -72, 12, 1], 2]], 'hecke_orbit_code': 247697979538941234, 'p': 71}
-
id: 5051245
{'charpoly_factorization': [[[8781, 834, -210, -6, 1], 2]], 'hecke_orbit_code': 247697979538941234, 'p': 73}
-
id: 5051246
{'charpoly_factorization': [[[40347904, 0, -2268608, 0, 44433, 0, -356, 0, 1], 1]], 'hecke_orbit_code': 247697979538941234, 'p': 79}
-
id: 5051247
{'charpoly_factorization': [[[5760000, 0, -676800, 0, 27129, 0, -396, 0, 1], 1]], 'hecke_orbit_code': 247697979538941234, 'p': 83}
-
id: 5051248
{'charpoly_factorization': [[[283450896, 0, -9515664, 0, 113025, 0, -564, 0, 1], 1]], 'hecke_orbit_code': 247697979538941234, 'p': 89}
-
id: 5051249
{'charpoly_factorization': [[[1329409, 0, -2947256, 0, 63186, 0, -440, 0, 1], 1]], 'hecke_orbit_code': 247697979538941234, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 56, 'label': '9522.2.a.cd', 'level': 9522, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 71915671
{'hecke_orbit_code': 247697979538941234, 'n': 1, 'trace_an': 8}
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id: 71915672
{'hecke_orbit_code': 247697979538941234, 'n': 2, 'trace_an': -8}
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id: 71915673
{'hecke_orbit_code': 247697979538941234, 'n': 3, 'trace_an': 0}
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id: 71915674
{'hecke_orbit_code': 247697979538941234, 'n': 4, 'trace_an': 8}
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id: 71915675
{'hecke_orbit_code': 247697979538941234, 'n': 5, 'trace_an': 0}
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id: 71915676
{'hecke_orbit_code': 247697979538941234, 'n': 6, 'trace_an': 0}
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id: 71915677
{'hecke_orbit_code': 247697979538941234, 'n': 7, 'trace_an': 0}
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id: 71915678
{'hecke_orbit_code': 247697979538941234, 'n': 8, 'trace_an': -8}
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id: 71915679
{'hecke_orbit_code': 247697979538941234, 'n': 9, 'trace_an': 0}
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id: 71915680
{'hecke_orbit_code': 247697979538941234, 'n': 10, 'trace_an': 0}
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id: 71915681
{'hecke_orbit_code': 247697979538941234, 'n': 11, 'trace_an': 0}
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id: 71915682
{'hecke_orbit_code': 247697979538941234, 'n': 12, 'trace_an': 0}
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id: 71915683
{'hecke_orbit_code': 247697979538941234, 'n': 13, 'trace_an': 12}
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id: 71915684
{'hecke_orbit_code': 247697979538941234, 'n': 14, 'trace_an': 0}
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id: 71915685
{'hecke_orbit_code': 247697979538941234, 'n': 15, 'trace_an': 0}
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id: 71915686
{'hecke_orbit_code': 247697979538941234, 'n': 16, 'trace_an': 8}
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id: 71915687
{'hecke_orbit_code': 247697979538941234, 'n': 17, 'trace_an': 0}
-
id: 71915688
{'hecke_orbit_code': 247697979538941234, 'n': 18, 'trace_an': 0}
-
id: 71915689
{'hecke_orbit_code': 247697979538941234, 'n': 19, 'trace_an': 0}
-
id: 71915690
{'hecke_orbit_code': 247697979538941234, 'n': 20, 'trace_an': 0}
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id: 71915691
{'hecke_orbit_code': 247697979538941234, 'n': 21, 'trace_an': 0}
-
id: 71915692
{'hecke_orbit_code': 247697979538941234, 'n': 22, 'trace_an': 0}
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id: 71915693
{'hecke_orbit_code': 247697979538941234, 'n': 23, 'trace_an': 0}
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id: 71915694
{'hecke_orbit_code': 247697979538941234, 'n': 24, 'trace_an': 0}
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id: 71915695
{'hecke_orbit_code': 247697979538941234, 'n': 25, 'trace_an': 8}
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id: 71915696
{'hecke_orbit_code': 247697979538941234, 'n': 26, 'trace_an': -12}
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id: 71915697
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