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mf_newforms • Show schema
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{'Nk2': 5600, 'analytic_conductor': 11.179056282979253, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [1400, 3, [351, 701, 1177, 801], [3, 3, 3, 1]], 'cm_discs': [], 'conrey_index': 401, 'conrey_indexes': [401, 1201], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [4, -2, 1]], [11, [16, 4, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22519097682036088, '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, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 5600, 'analytic_conductor': 11.179056282979253, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [1400, 3, [351, 701, 1177, 801], [3, 3, 3, 1]], 'conrey_index': 401, 'cusp_dim': 432, 'dim': 76, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11], 'hecke_orbit_code': 1099545183608, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 6, 6, 6, 8, 8, 12, 12], 'label': '1400.2.q', 'level': 1400, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'mf_dim': 528, 'mf_new_dim': 76, 'num_forms': 15, 'prim_orbit_index': 3, 'relative_dim': 38, 'sturm_bound': 480, 'trace_bound': 7, 'trace_display': [0, -2, 0, -4], 'traces': [76, 0, -2, 0, 0, 0, -4, 0, -36, 0, 2, 0, -8, 0, 0, 0, 2, 0, 10, 0, 18, 0, -10, 0, 0, 0, 4, 0, 16, 0, 10, 0, -6, 0, 0, 0, -6, 0, 4, 0, 24, 0, -32, 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mf_twists_cc • Show schema
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id: 45389609
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 401, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22519097682036088, 'source_is_minimal': True, 'source_label': '1400.2.q.f.401.1', 'source_level': 1400, 'target_conrey_index': 401, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519097682036088, 'target_is_minimal': True, 'target_label': '1400.2.q.f.401.1', 'target_level': 1400, 'twist_class_label': '1400.2.q.b.401.1', 'twist_class_level': 1400, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45389610
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 401, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22519097682036088, 'source_is_minimal': True, 'source_label': '1400.2.q.f.401.1', 'source_level': 1400, 'target_conrey_index': 849, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13513066658399608, 'target_is_minimal': False, 'target_label': '1400.2.bh.d.849.2', 'target_level': 1400, 'twist_class_label': '1400.2.q.b.401.1', 'twist_class_level': 1400, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45389611
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 401, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22519097682036088, 'source_is_minimal': True, 'source_label': '1400.2.q.f.401.1', 'source_level': 1400, 'target_conrey_index': 849, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13513066658399608, 'target_is_minimal': False, 'target_label': '1400.2.bh.d.849.1', 'target_level': 1400, 'twist_class_label': '1400.2.q.b.401.1', 'twist_class_level': 1400, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45389612
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 401, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22519097682036088, 'source_is_minimal': True, 'source_label': '1400.2.q.f.401.1', 'source_level': 1400, 'target_conrey_index': 401, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504699172554104, 'target_is_minimal': True, 'target_label': '1400.2.q.b.401.1', 'target_level': 1400, 'twist_class_label': '1400.2.q.b.401.1', 'twist_class_level': 1400, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45389613
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 401, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22519097682036088, 'source_is_minimal': True, 'source_label': '1400.2.q.f.401.1', 'source_level': 1400, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679898696, 'target_is_minimal': False, 'target_label': '9800.2.a.j.1.1', 'target_level': 9800, 'twist_class_label': '1400.2.q.b.401.1', 'twist_class_level': 1400, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45389614
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 401, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22519097682036088, 'source_is_minimal': True, 'source_label': '1400.2.q.f.401.1', 'source_level': 1400, 'target_conrey_index': 1201, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519097682036088, 'target_is_minimal': True, 'target_label': '1400.2.q.f.1201.1', 'target_level': 1400, 'twist_class_label': '1400.2.q.b.401.1', 'twist_class_level': 1400, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45389615
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 401, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22519097682036088, 'source_is_minimal': True, 'source_label': '1400.2.q.f.401.1', 'source_level': 1400, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 166633186246272584, 'target_is_minimal': False, 'target_label': '9800.2.a.bl.1.1', 'target_level': 9800, 'twist_class_label': '1400.2.q.b.401.1', 'twist_class_level': 1400, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45389616
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 401, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22519097682036088, 'source_is_minimal': True, 'source_label': '1400.2.q.f.401.1', 'source_level': 1400, 'target_conrey_index': 1201, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504699172554104, 'target_is_minimal': True, 'target_label': '1400.2.q.b.1201.1', 'target_level': 1400, 'twist_class_label': '1400.2.q.b.401.1', 'twist_class_level': 1400, 'twisting_char_label': '35.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45389617
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 401, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22519097682036088, 'source_is_minimal': True, 'source_label': '1400.2.q.f.401.1', 'source_level': 1400, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 171136785873643080, 'target_is_minimal': False, 'target_label': '9800.2.a.bm.1.1', 'target_level': 9800, 'twist_class_label': '1400.2.q.b.401.1', 'twist_class_level': 1400, 'twisting_char_label': '35.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 45389618
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 401, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22519097682036088, 'source_is_minimal': True, 'source_label': '1400.2.q.f.401.1', 'source_level': 1400, 'target_conrey_index': 249, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13513066658399608, 'target_is_minimal': False, 'target_label': '1400.2.bh.d.249.2', 'target_level': 1400, 'twist_class_label': '1400.2.q.b.401.1', 'twist_class_level': 1400, 'twisting_char_label': '35.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 45389619
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 401, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22519097682036088, 'source_is_minimal': True, 'source_label': '1400.2.q.f.401.1', 'source_level': 1400, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307269192, 'target_is_minimal': False, 'target_label': '9800.2.a.k.1.1', 'target_level': 9800, 'twist_class_label': '1400.2.q.b.401.1', 'twist_class_level': 1400, 'twisting_char_label': '35.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 45389620
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 401, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22519097682036088, 'source_is_minimal': True, 'source_label': '1400.2.q.f.401.1', 'source_level': 1400, 'target_conrey_index': 249, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13513066658399608, 'target_is_minimal': False, 'target_label': '1400.2.bh.d.249.1', 'target_level': 1400, 'twist_class_label': '1400.2.q.b.401.1', 'twist_class_level': 1400, 'twisting_char_label': '35.32', 'twisting_conrey_index': 32, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1920900
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22519097682036088, 'p': 2}
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id: 1920901
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 22519097682036088, 'p': 3}
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id: 1920902
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22519097682036088, 'p': 5}
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id: 1920903
{'charpoly_factorization': [[[7, 1, 1], 1]], 'hecke_orbit_code': 22519097682036088, 'p': 7}
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id: 1920904
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 22519097682036088, 'p': 11}
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id: 1920905
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 22519097682036088, 'p': 13}
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id: 1920906
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 22519097682036088, 'p': 17}
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id: 1920907
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22519097682036088, 'p': 19}
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id: 1920908
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 22519097682036088, 'p': 23}
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id: 1920909
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 22519097682036088, 'p': 29}
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id: 1920910
{'charpoly_factorization': [[[81, 9, 1], 1]], 'hecke_orbit_code': 22519097682036088, 'p': 31}
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id: 1920911
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22519097682036088, 'p': 37}
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id: 1920912
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 22519097682036088, 'p': 41}
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id: 1920913
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 22519097682036088, 'p': 43}
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id: 1920914
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 22519097682036088, 'p': 47}
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id: 1920915
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 22519097682036088, 'p': 53}
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id: 1920916
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 22519097682036088, 'p': 59}
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id: 1920917
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 22519097682036088, 'p': 61}
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id: 1920918
{'charpoly_factorization': [[[196, -14, 1], 1]], 'hecke_orbit_code': 22519097682036088, 'p': 67}
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id: 1920919
{'charpoly_factorization': [[[-11, 1], 2]], 'hecke_orbit_code': 22519097682036088, 'p': 71}
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id: 1920920
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 22519097682036088, 'p': 73}
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id: 1920921
{'charpoly_factorization': [[[81, 9, 1], 1]], 'hecke_orbit_code': 22519097682036088, 'p': 79}
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id: 1920922
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 22519097682036088, 'p': 83}
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id: 1920923
{'charpoly_factorization': [[[121, 11, 1], 1]], 'hecke_orbit_code': 22519097682036088, 'p': 89}
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id: 1920924
{'charpoly_factorization': [[[-11, 1], 2]], 'hecke_orbit_code': 22519097682036088, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 17, 'hecke_orbit': 6, 'label': '1400.2.q.f', 'level': 1400, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 173767000
{'hecke_orbit_code': 22519097682036088, 'n': 1, 'trace_an': 2}
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id: 173767001
{'hecke_orbit_code': 22519097682036088, 'n': 2, 'trace_an': 0}
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id: 173767002
{'hecke_orbit_code': 22519097682036088, 'n': 3, 'trace_an': 2}
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id: 173767003
{'hecke_orbit_code': 22519097682036088, 'n': 4, 'trace_an': 0}
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id: 173767004
{'hecke_orbit_code': 22519097682036088, 'n': 5, 'trace_an': 0}
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id: 173767005
{'hecke_orbit_code': 22519097682036088, 'n': 6, 'trace_an': 0}
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id: 173767006
{'hecke_orbit_code': 22519097682036088, 'n': 7, 'trace_an': -1}
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id: 173767007
{'hecke_orbit_code': 22519097682036088, 'n': 8, 'trace_an': 0}
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id: 173767008
{'hecke_orbit_code': 22519097682036088, 'n': 9, 'trace_an': -1}
-
id: 173767009
{'hecke_orbit_code': 22519097682036088, 'n': 10, 'trace_an': 0}
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id: 173767010
{'hecke_orbit_code': 22519097682036088, 'n': 11, 'trace_an': -4}
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id: 173767011
{'hecke_orbit_code': 22519097682036088, 'n': 12, 'trace_an': 0}
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id: 173767012
{'hecke_orbit_code': 22519097682036088, 'n': 13, 'trace_an': 4}
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id: 173767013
{'hecke_orbit_code': 22519097682036088, 'n': 14, 'trace_an': 0}
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id: 173767014
{'hecke_orbit_code': 22519097682036088, 'n': 15, 'trace_an': 0}
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id: 173767015
{'hecke_orbit_code': 22519097682036088, 'n': 16, 'trace_an': 0}
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id: 173767016
{'hecke_orbit_code': 22519097682036088, 'n': 17, 'trace_an': -3}
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id: 173767017
{'hecke_orbit_code': 22519097682036088, 'n': 18, 'trace_an': 0}
-
id: 173767018
{'hecke_orbit_code': 22519097682036088, 'n': 19, 'trace_an': 0}
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id: 173767019
{'hecke_orbit_code': 22519097682036088, 'n': 20, 'trace_an': 0}
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id: 173767020
{'hecke_orbit_code': 22519097682036088, 'n': 21, 'trace_an': 8}
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id: 173767021
{'hecke_orbit_code': 22519097682036088, 'n': 22, 'trace_an': 0}
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id: 173767022
{'hecke_orbit_code': 22519097682036088, 'n': 23, 'trace_an': 3}
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id: 173767023
{'hecke_orbit_code': 22519097682036088, 'n': 24, 'trace_an': 0}
-
id: 173767024
{'hecke_orbit_code': 22519097682036088, 'n': 25, 'trace_an': 0}
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id: 173767025
{'hecke_orbit_code': 22519097682036088, 'n': 26, 'trace_an': 0}
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id: 173767026
{'hecke_orbit_code': 22519097682036088, 'n': 27, 'trace_an': 8}
-
id: 173767027
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