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{'Nk2': 19200, 'analytic_conductor': 70.80229200688873, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, -1]], 'atkin_lehner_string': '+--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1200, 1, [751, 901, 401, 577], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 129, 'field_disc_factorization': [[3, 1], [43, 1]], 'field_poly': [-32, -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': [[7, [-1160, 2, 1]], [11, [1240, 74, 1]]], 'hecke_orbit': 43, 'hecke_orbit_code': 189151184416670896, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], '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': False, 'label': '1200.4.a.bq', 'level': 1200, '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, 5], 'level_radical': 30, 'minimal_twist': '120.4.f.d', 'nf_label': '2.2.129.1', 'prim_orbit_index': 1, 'qexp_display': 'q+3q^{3}+(-1-3\\beta )q^{7}+9q^{9}+(-37+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1200.4.a', 'trace_display': [0, 6, 0, -2], 'trace_hash': 2114677525770371520, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.981', 'prec': 17}, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [8, 7, 5, 9, 7, 7, 7, 7], 'Nk2': 19200, 'analytic_conductor': 70.80229200688873, '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': [1200, 1, [751, 901, 401, 577], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 684, 'dim': 57, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 67110064, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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], 'label': '1200.4.a', 'level': 1200, '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, 5], 'level_radical': 30, 'mf_dim': 756, 'mf_new_dim': 57, 'num_forms': 47, 'plus_dim': 31, 'prim_orbit_index': 1, 'relative_dim': 57, 'sturm_bound': 960, 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mf_twists_nf • Show schema
Hide schema
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id: 673822
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '1200.4.a.bq', 'source_level': 1200, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '120.4.f.d', 'target_level': 120, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 673823
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '1200.4.a.bq', 'source_level': 1200, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '240.4.f.g', 'target_level': 240, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 673824
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '1200.4.a.bq', 'source_level': 1200, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '360.4.f.d', 'target_level': 360, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 673825
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '1200.4.a.bq', 'source_level': 1200, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '600.4.a.t', 'target_level': 600, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 673826
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '1200.4.a.bq', 'source_level': 1200, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '600.4.a.v', 'target_level': 600, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 673827
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '1200.4.a.bq', 'source_level': 1200, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '720.4.f.i', 'target_level': 720, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 673828
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '1200.4.a.bq', 'source_level': 1200, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '960.4.f.n', 'target_level': 960, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 673829
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '1200.4.a.bq', 'source_level': 1200, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '960.4.f.o', 'target_level': 960, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 673830
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '1200.4.a.bq', 'source_level': 1200, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '1200.4.a.bo', 'target_level': 1200, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 673831
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '1200.4.a.bq', 'source_level': 1200, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '1200.4.a.bq', 'target_level': 1200, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 673832
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '1200.4.a.bq', 'source_level': 1200, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '1800.4.a.bl', 'target_level': 1800, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 673833
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '1200.4.a.bq', 'source_level': 1200, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '1800.4.a.bn', 'target_level': 1800, 'twist_class_label': '120.4.f.d', 'twist_class_level': 120, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1764625
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 189151184416670896, 'p': 2}
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id: 1764626
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 189151184416670896, 'p': 3}
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id: 1764627
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 189151184416670896, 'p': 5}
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id: 1764628
{'charpoly_factorization': [[[-1160, 2, 1], 1]], 'hecke_orbit_code': 189151184416670896, 'p': 7}
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id: 1764629
{'charpoly_factorization': [[[1240, 74, 1], 1]], 'hecke_orbit_code': 189151184416670896, 'p': 11}
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id: 1764630
{'charpoly_factorization': [[[2272, 98, 1], 1]], 'hecke_orbit_code': 189151184416670896, 'p': 13}
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id: 1764631
{'charpoly_factorization': [[[-1704, -78, 1], 1]], 'hecke_orbit_code': 189151184416670896, 'p': 17}
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id: 1764632
{'charpoly_factorization': [[[-6656, -80, 1], 1]], 'hecke_orbit_code': 189151184416670896, 'p': 19}
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id: 1764633
{'charpoly_factorization': [[[-7856, -40, 1], 1]], 'hecke_orbit_code': 189151184416670896, 'p': 23}
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id: 1764634
{'charpoly_factorization': [[[-5696, -50, 1], 1]], 'hecke_orbit_code': 189151184416670896, 'p': 29}
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id: 1764635
{'charpoly_factorization': [[[-41760, -12, 1], 1]], 'hecke_orbit_code': 189151184416670896, 'p': 31}
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id: 1764636
{'charpoly_factorization': [[[-80336, -34, 1], 1]], 'hecke_orbit_code': 189151184416670896, 'p': 37}
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id: 1764637
{'charpoly_factorization': [[[24940, -344, 1], 1]], 'hecke_orbit_code': 189151184416670896, 'p': 41}
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id: 1764638
{'charpoly_factorization': [[[-108, 1], 2]], 'hecke_orbit_code': 189151184416670896, 'p': 43}
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id: 1764639
{'charpoly_factorization': [[[166560, -876, 1], 1]], 'hecke_orbit_code': 189151184416670896, 'p': 47}
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id: 1764640
{'charpoly_factorization': [[[100360, -634, 1], 1]], 'hecke_orbit_code': 189151184416670896, 'p': 53}
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id: 1764641
{'charpoly_factorization': [[[-198840, 666, 1], 1]], 'hecke_orbit_code': 189151184416670896, 'p': 59}
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id: 1764642
{'charpoly_factorization': [[[-117212, -244, 1], 1]], 'hecke_orbit_code': 189151184416670896, 'p': 61}
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id: 1764643
{'charpoly_factorization': [[[90976, 980, 1], 1]], 'hecke_orbit_code': 189151184416670896, 'p': 67}
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id: 1764644
{'charpoly_factorization': [[[-162560, 308, 1], 1]], 'hecke_orbit_code': 189151184416670896, 'p': 71}
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id: 1764645
{'charpoly_factorization': [[[312160, -1412, 1], 1]], 'hecke_orbit_code': 189151184416670896, 'p': 73}
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id: 1764646
{'charpoly_factorization': [[[251392, 1052, 1], 1]], 'hecke_orbit_code': 189151184416670896, 'p': 79}
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id: 1764647
{'charpoly_factorization': [[[-17648, -248, 1], 1]], 'hecke_orbit_code': 189151184416670896, 'p': 83}
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id: 1764648
{'charpoly_factorization': [[[-180252, -684, 1], 1]], 'hecke_orbit_code': 189151184416670896, 'p': 89}
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id: 1764649
{'charpoly_factorization': [[[714304, -1840, 1], 1]], 'hecke_orbit_code': 189151184416670896, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 43, 'label': '1200.4.a.bq', 'level': 1200, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 70913599
{'hecke_orbit_code': 189151184416670896, 'n': 1, 'trace_an': 2}
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id: 70913600
{'hecke_orbit_code': 189151184416670896, 'n': 2, 'trace_an': 0}
-
id: 70913601
{'hecke_orbit_code': 189151184416670896, 'n': 3, 'trace_an': 6}
-
id: 70913602
{'hecke_orbit_code': 189151184416670896, 'n': 4, 'trace_an': 0}
-
id: 70913603
{'hecke_orbit_code': 189151184416670896, 'n': 5, 'trace_an': 0}
-
id: 70913604
{'hecke_orbit_code': 189151184416670896, 'n': 6, 'trace_an': 0}
-
id: 70913605
{'hecke_orbit_code': 189151184416670896, 'n': 7, 'trace_an': -2}
-
id: 70913606
{'hecke_orbit_code': 189151184416670896, 'n': 8, 'trace_an': 0}
-
id: 70913607
{'hecke_orbit_code': 189151184416670896, 'n': 9, 'trace_an': 18}
-
id: 70913608
{'hecke_orbit_code': 189151184416670896, 'n': 10, 'trace_an': 0}
-
id: 70913609
{'hecke_orbit_code': 189151184416670896, 'n': 11, 'trace_an': -74}
-
id: 70913610
{'hecke_orbit_code': 189151184416670896, 'n': 12, 'trace_an': 0}
-
id: 70913611
{'hecke_orbit_code': 189151184416670896, 'n': 13, 'trace_an': -98}
-
id: 70913612
{'hecke_orbit_code': 189151184416670896, 'n': 14, 'trace_an': 0}
-
id: 70913613
{'hecke_orbit_code': 189151184416670896, 'n': 15, 'trace_an': 0}
-
id: 70913614
{'hecke_orbit_code': 189151184416670896, 'n': 16, 'trace_an': 0}
-
id: 70913615
{'hecke_orbit_code': 189151184416670896, 'n': 17, 'trace_an': 78}
-
id: 70913616
{'hecke_orbit_code': 189151184416670896, 'n': 18, 'trace_an': 0}
-
id: 70913617
{'hecke_orbit_code': 189151184416670896, 'n': 19, 'trace_an': 80}
-
id: 70913618
{'hecke_orbit_code': 189151184416670896, 'n': 20, 'trace_an': 0}
-
id: 70913619
{'hecke_orbit_code': 189151184416670896, 'n': 21, 'trace_an': -6}
-
id: 70913620
{'hecke_orbit_code': 189151184416670896, 'n': 22, 'trace_an': 0}
-
id: 70913621
{'hecke_orbit_code': 189151184416670896, 'n': 23, 'trace_an': 40}
-
id: 70913622
{'hecke_orbit_code': 189151184416670896, 'n': 24, 'trace_an': 0}
-
id: 70913623
{'hecke_orbit_code': 189151184416670896, 'n': 25, 'trace_an': 0}
-
id: 70913624
{'hecke_orbit_code': 189151184416670896, 'n': 26, 'trace_an': 0}
-
id: 70913625
{'hecke_orbit_code': 189151184416670896, 'n': 27, 'trace_an': 54}
-
id: 70913626
{'hecke_orbit_code': 189151184416670896, 'n': 28, 'trace_an': 0}
-
id: 70913627
{'hecke_orbit_code': 189151184416670896, 'n': 29, 'trace_an': 50}
-
id: 70913628
{'hecke_orbit_code': 189151184416670896, 'n': 30, 'trace_an': 0}
-
id: 70913629
{'hecke_orbit_code': 189151184416670896, 'n': 31, 'trace_an': 12}
-
id: 70913630
{'hecke_orbit_code': 189151184416670896, 'n': 32, 'trace_an': 0}
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