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mf_newforms • Show schema
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{'Nk2': 2160, 'analytic_conductor': 7.965257850774983, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [135, 3, [56, 82], [2, 3]], 'cm_discs': [], 'conrey_index': 46, 'dim': 4, 'field_disc': 1089, 'field_disc_factorization': [[3, 2], [11, 2]], 'field_poly': [9, -3, -2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [64, -8, 9, 1, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 274945015943, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '135.4.e.a', 'level': 135, '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': [3, 5], 'level_radical': 15, 'minimal_twist': '45.4.e.a', 'nf_label': '4.0.1089.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-\\beta _{1}+\\beta _{3})q^{2}+(\\beta _{1}+\\beta _{2}-\\beta _{3})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '135.4.e', 'trace_display': [-1, 0, 10, -9], 'trace_hash': 2020302112239577998, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.079', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.153', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.565', 'prec': 17}, {'__RealLiteral__': 0, 'data': '71.269', 'prec': 20}, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2160, 'analytic_conductor': 7.965257850774983, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [135, 3, [56, 82], [2, 3]], 'conrey_index': 46, 'cusp_dim': 96, 'dim': 24, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274945015943, 'hecke_orbit_dims': [4, 6, 14], 'label': '135.4.e', 'level': 135, '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': [3, 5], 'level_radical': 15, 'mf_dim': 120, 'mf_new_dim': 24, 'num_forms': 3, 'prim_orbit_index': 3, 'relative_dim': 12, 'sturm_bound': 72, 'trace_bound': 1, 'trace_display': [-4, 0, -10, 12], 'traces': [24, -4, 0, -48, -10, 0, 12, 108, 0, 0, -46, 0, -24, 6, 0, -192, 500, 0, 300, -120, 0, -36, -192, 0, -300, -1432, 0, -384, 286, 0, 120, 484, 0, 378, 560, 0, 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mf_twists_cc • Show schema
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id: 2956571
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274945015943, 'source_is_minimal': False, 'source_label': '135.4.e.a.46.2', 'source_level': 135, 'target_conrey_index': 46, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274945015943, 'target_is_minimal': False, 'target_label': '135.4.e.a.46.2', 'target_level': 135, 'twist_class_label': '45.4.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 2956572
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274945015943, 'source_is_minimal': False, 'source_label': '135.4.e.a.46.2', 'source_level': 135, 'target_conrey_index': 16, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274945015853, 'target_is_minimal': True, 'target_label': '45.4.e.a.16.1', 'target_level': 45, 'twist_class_label': '45.4.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 2956573
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274945015943, 'source_is_minimal': False, 'source_label': '135.4.e.a.46.2', 'source_level': 135, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798949220757, 'target_is_minimal': False, 'target_label': '405.4.a.d.1.2', 'target_level': 405, 'twist_class_label': '45.4.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 2956574
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274945015943, 'source_is_minimal': False, 'source_label': '135.4.e.a.46.2', 'source_level': 135, 'target_conrey_index': 91, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274945015943, 'target_is_minimal': False, 'target_label': '135.4.e.a.91.2', 'target_level': 135, 'twist_class_label': '45.4.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 2956575
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274945015943, 'source_is_minimal': False, 'source_label': '135.4.e.a.46.2', 'source_level': 135, 'target_conrey_index': 31, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274945015853, 'target_is_minimal': True, 'target_label': '45.4.e.a.31.1', 'target_level': 45, 'twist_class_label': '45.4.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 2956576
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274945015943, 'source_is_minimal': False, 'source_label': '135.4.e.a.46.2', 'source_level': 135, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398576591253, 'target_is_minimal': False, 'target_label': '405.4.a.e.1.1', 'target_level': 405, 'twist_class_label': '45.4.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 2956577
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274945015943, 'source_is_minimal': False, 'source_label': '135.4.e.a.46.2', 'source_level': 135, 'target_conrey_index': 124, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 687261876449, 'target_is_minimal': False, 'target_label': '225.4.k.a.124.2', 'target_level': 225, 'twist_class_label': '45.4.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 2956578
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274945015943, 'source_is_minimal': False, 'source_label': '135.4.e.a.46.2', 'source_level': 135, 'target_conrey_index': 124, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 687261876449, 'target_is_minimal': False, 'target_label': '225.4.k.a.124.3', 'target_level': 225, 'twist_class_label': '45.4.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 4}
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id: 2956579
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274945015943, 'source_is_minimal': False, 'source_label': '135.4.e.a.46.2', 'source_level': 135, 'target_conrey_index': 151, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274945016033, 'target_is_minimal': False, 'target_label': '225.4.e.a.151.2', 'target_level': 225, 'twist_class_label': '45.4.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 2956580
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274945015943, 'source_is_minimal': False, 'source_label': '135.4.e.a.46.2', 'source_level': 135, 'target_conrey_index': 76, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274945016033, 'target_is_minimal': False, 'target_label': '225.4.e.a.76.2', 'target_level': 225, 'twist_class_label': '45.4.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 2956581
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274945015943, 'source_is_minimal': False, 'source_label': '135.4.e.a.46.2', 'source_level': 135, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 687261876449, 'target_is_minimal': False, 'target_label': '225.4.k.a.49.2', 'target_level': 225, 'twist_class_label': '45.4.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 2956582
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274945015943, 'source_is_minimal': False, 'source_label': '135.4.e.a.46.2', 'source_level': 135, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595968186345, 'target_is_minimal': False, 'target_label': '2025.4.a.l.1.1', 'target_level': 2025, 'twist_class_label': '45.4.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 2956583
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274945015943, 'source_is_minimal': False, 'source_label': '135.4.e.a.46.2', 'source_level': 135, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 687261876449, 'target_is_minimal': False, 'target_label': '225.4.k.a.49.3', 'target_level': 225, 'twist_class_label': '45.4.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 4}
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id: 2956584
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274945015943, 'source_is_minimal': False, 'source_label': '135.4.e.a.46.2', 'source_level': 135, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396713445353, 'target_is_minimal': False, 'target_label': '2025.4.a.j.1.2', 'target_level': 2025, 'twist_class_label': '45.4.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 370200
{'charpoly_factorization': [[[64, -8, 9, 1, 1], 1]], 'hecke_orbit_code': 274945015943, 'p': 2}
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id: 370201
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 274945015943, 'p': 3}
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id: 370202
{'charpoly_factorization': [[[25, -5, 1], 2]], 'hecke_orbit_code': 274945015943, 'p': 5}
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id: 370203
{'charpoly_factorization': [[[144, 108, 69, 9, 1], 1]], 'hecke_orbit_code': 274945015943, 'p': 7}
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id: 370204
{'charpoly_factorization': [[[18496, 5032, 1233, 37, 1], 1]], 'hecke_orbit_code': 274945015943, 'p': 11}
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id: 370205
{'charpoly_factorization': [[[6801664, -292096, 9936, -112, 1], 1]], 'hecke_orbit_code': 274945015943, 'p': 13}
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id: 370206
{'charpoly_factorization': [[[-3674, 77, 1], 2]], 'hecke_orbit_code': 274945015943, 'p': 17}
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id: 370207
{'charpoly_factorization': [[[-4850, -35, 1], 2]], 'hecke_orbit_code': 274945015943, 'p': 19}
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id: 370208
{'charpoly_factorization': [[[181117764, 3593286, 57831, 267, 1], 1]], 'hecke_orbit_code': 274945015943, 'p': 23}
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id: 370209
{'charpoly_factorization': [[[192044164, -4503850, 91767, -325, 1], 1]], 'hecke_orbit_code': 274945015943, 'p': 29}
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id: 370210
{'charpoly_factorization': [[[36, -6, 1], 2]], 'hecke_orbit_code': 274945015943, 'p': 31}
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id: 370211
{'charpoly_factorization': [[[100936, 638, 1], 2]], 'hecke_orbit_code': 274945015943, 'p': 37}
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id: 370212
{'charpoly_factorization': [[[241460521, 3698282, 72183, -238, 1], 1]], 'hecke_orbit_code': 274945015943, 'p': 41}
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id: 370213
{'charpoly_factorization': [[[3611048464, 5828924, 69501, -97, 1], 1]], 'hecke_orbit_code': 274945015943, 'p': 43}
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id: 370214
{'charpoly_factorization': [[[40784610304, 181958752, 609849, 901, 1], 1]], 'hecke_orbit_code': 274945015943, 'p': 47}
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id: 370215
{'charpoly_factorization': [[[-69956, 224, 1], 2]], 'hecke_orbit_code': 274945015943, 'p': 53}
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id: 370216
{'charpoly_factorization': [[[324072004, -1530170, 25227, 85, 1], 1]], 'hecke_orbit_code': 274945015943, 'p': 59}
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id: 370217
{'charpoly_factorization': [[[89074790116, 73718138, 359463, -247, 1], 1]], 'hecke_orbit_code': 274945015943, 'p': 61}
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id: 370218
{'charpoly_factorization': [[[35157375009, 113626818, 554739, -606, 1], 1]], 'hecke_orbit_code': 274945015943, 'p': 67}
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id: 370219
{'charpoly_factorization': [[[-61016, 394, 1], 2]], 'hecke_orbit_code': 274945015943, 'p': 71}
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id: 370220
{'charpoly_factorization': [[[-182276, 811, 1], 2]], 'hecke_orbit_code': 274945015943, 'p': 73}
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id: 370221
{'charpoly_factorization': [[[16576047504, -108148320, 576852, -840, 1], 1]], 'hecke_orbit_code': 274945015943, 'p': 79}
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id: 370222
{'charpoly_factorization': [[[2740786203024, -640690884, 1805301, 387, 1], 1]], 'hecke_orbit_code': 274945015943, 'p': 83}
-
id: 370223
{'charpoly_factorization': [[[-535050, -1065, 1], 2]], 'hecke_orbit_code': 274945015943, 'p': 89}
-
id: 370224
{'charpoly_factorization': [[[15416202244, -128011022, 938799, -1031, 1], 1]], 'hecke_orbit_code': 274945015943, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 1, 'label': '135.4.e.a', 'level': 135, 'portrait': 'data:image/png;base64,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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 7773606
{'hecke_orbit_code': 274945015943, 'n': 1, 'trace_an': 4}
-
id: 7773607
{'hecke_orbit_code': 274945015943, 'n': 2, 'trace_an': -1}
-
id: 7773608
{'hecke_orbit_code': 274945015943, 'n': 3, 'trace_an': 0}
-
id: 7773609
{'hecke_orbit_code': 274945015943, 'n': 4, 'trace_an': -1}
-
id: 7773610
{'hecke_orbit_code': 274945015943, 'n': 5, 'trace_an': 10}
-
id: 7773611
{'hecke_orbit_code': 274945015943, 'n': 6, 'trace_an': 0}
-
id: 7773612
{'hecke_orbit_code': 274945015943, 'n': 7, 'trace_an': -9}
-
id: 7773613
{'hecke_orbit_code': 274945015943, 'n': 8, 'trace_an': 18}
-
id: 7773614
{'hecke_orbit_code': 274945015943, 'n': 9, 'trace_an': 0}
-
id: 7773615
{'hecke_orbit_code': 274945015943, 'n': 10, 'trace_an': -10}
-
id: 7773616
{'hecke_orbit_code': 274945015943, 'n': 11, 'trace_an': -37}
-
id: 7773617
{'hecke_orbit_code': 274945015943, 'n': 12, 'trace_an': 0}
-
id: 7773618
{'hecke_orbit_code': 274945015943, 'n': 13, 'trace_an': 112}
-
id: 7773619
{'hecke_orbit_code': 274945015943, 'n': 14, 'trace_an': 12}
-
id: 7773620
{'hecke_orbit_code': 274945015943, 'n': 15, 'trace_an': 0}
-
id: 7773621
{'hecke_orbit_code': 274945015943, 'n': 16, 'trace_an': 119}
-
id: 7773622
{'hecke_orbit_code': 274945015943, 'n': 17, 'trace_an': -154}
-
id: 7773623
{'hecke_orbit_code': 274945015943, 'n': 18, 'trace_an': 0}
-
id: 7773624
{'hecke_orbit_code': 274945015943, 'n': 19, 'trace_an': 70}
-
id: 7773625
{'hecke_orbit_code': 274945015943, 'n': 20, 'trace_an': 5}
-
id: 7773626
{'hecke_orbit_code': 274945015943, 'n': 21, 'trace_an': 0}
-
id: 7773627
{'hecke_orbit_code': 274945015943, 'n': 22, 'trace_an': -101}
-
id: 7773628
{'hecke_orbit_code': 274945015943, 'n': 23, 'trace_an': -267}
-
id: 7773629
{'hecke_orbit_code': 274945015943, 'n': 24, 'trace_an': 0}
-
id: 7773630
{'hecke_orbit_code': 274945015943, 'n': 25, 'trace_an': -50}
-
id: 7773631
{'hecke_orbit_code': 274945015943, 'n': 26, 'trace_an': 152}
-
id: 7773632
{'hecke_orbit_code': 274945015943, 'n': 27, 'trace_an': 0}
-
id: 7773633
{'hecke_orbit_code': 274945015943, 'n': 28, 'trace_an': -24}
-
id: 7773634
{'hecke_orbit_code': 274945015943, 'n': 29, 'trace_an': 325}
-
id: 7773635
{'hecke_orbit_code': 274945015943, 'n': 30, 'trace_an': 0}
-
id: 7773636
{'hecke_orbit_code': 274945015943, 'n': 31, 'trace_an': 12}
-
id: 7773637
{'hecke_orbit_code': 274945015943, 'n': 32, 'trace_an': 247}
-
id: 7773638
{'hecke_orbit_code': 274945015943, 'n': 33, 'trace_an': 0}
-
id: 7773639
{'hecke_orbit_code': 274945015943, 'n': 34, 'trace_an': 451}
-
id: 7773640
{'hecke_orbit_code': 274945015943, 'n': 35, 'trace_an': -90}
-
id: 7773641
{'hecke_orbit_code': 274945015943, 'n': 36, 'trace_an': 0}
-
id: 7773642
{'hecke_orbit_code': 274945015943, 'n': 37, 'trace_an': -1276}
-
id: 7773643
{'hecke_orbit_code': 274945015943, 'n': 38, 'trace_an': 395}
-
id: 7773644
{'hecke_orbit_code': 274945015943, 'n': 39, 'trace_an': 0}
-
id: 7773645
{'hecke_orbit_code': 274945015943, 'n': 40, 'trace_an': 45}
-
id: 7773646
{'hecke_orbit_code': 274945015943, 'n': 41, 'trace_an': 238}
-
id: 7773647
{'hecke_orbit_code': 274945015943, 'n': 42, 'trace_an': 0}
-
id: 7773648
{'hecke_orbit_code': 274945015943, 'n': 43, 'trace_an': 97}
-
id: 7773649
{'hecke_orbit_code': 274945015943, 'n': 44, 'trace_an': 202}
-
id: 7773650
{'hecke_orbit_code': 274945015943, 'n': 45, 'trace_an': 0}
-
id: 7773651
{'hecke_orbit_code': 274945015943, 'n': 46, 'trace_an': -492}
-
id: 7773652
{'hecke_orbit_code': 274945015943, 'n': 47, 'trace_an': -901}
-
id: 7773653
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id: 7773855
{'hecke_orbit_code': 274945015943, 'n': 947, 'trace_an': 51084}
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id: 7773856
{'hecke_orbit_code': 274945015943, 'n': 953, 'trace_an': 17162}
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id: 7773857
{'hecke_orbit_code': 274945015943, 'n': 961, 'trace_an': 59510}
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id: 7773858
{'hecke_orbit_code': 274945015943, 'n': 967, 'trace_an': 28481}
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id: 7773859
{'hecke_orbit_code': 274945015943, 'n': 971, 'trace_an': -15108}
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id: 7773860
{'hecke_orbit_code': 274945015943, 'n': 977, 'trace_an': -3601}
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id: 7773861
{'hecke_orbit_code': 274945015943, 'n': 983, 'trace_an': -59217}
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id: 7773862
{'hecke_orbit_code': 274945015943, 'n': 991, 'trace_an': -40972}
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id: 7773863
{'hecke_orbit_code': 274945015943, 'n': 997, 'trace_an': -33984}