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mf_newforms • Show schema
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{'Nk2': 28224, 'analytic_conductor': 104.07936925012645, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 3, 'char_parity': 1, 'char_values': [1764, 3, [883, 785, 1081], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 361, 'dim': 8, 'field_disc': 7027860559216896, 'field_disc_factorization': [[2, 8], [3, 4], [7, 4], [109, 4]], 'field_poly': [945876, 75204, -71054, -8206, 3869, 278, -88, -4, 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': [[5, [12544, 0, 112, 0, 1]], [11, [9314704, 0, 3052, 0, 1]], [13, [-6976, 0, 1]]], 'hecke_orbit': 29, 'hecke_orbit_code': 126101476828251876, 'hecke_ring_generator_nbound': 25, 'hecke_ring_index': 65536, 'hecke_ring_index_factorization': [[2, 16]], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 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mf_hecke_cc • Show schema
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'weight': 4}
-
mf_newspaces • Show schema
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{'Nk2': 28224, 'analytic_conductor': 104.07936925012645, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 3, 'char_parity': 1, 'char_values': [1764, 3, [883, 785, 1081], [3, 3, 2]], 'conrey_index': 361, 'cusp_dim': 1920, 'dim': 100, 'eis_dim': 192, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13], 'hecke_orbit_code': 687261877988, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], 'label': '1764.4.k', 'level': 1764, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 2112, 'mf_new_dim': 100, 'num_forms': 30, 'prim_orbit_index': 3, 'relative_dim': 50, 'sturm_bound': 1344, 'trace_bound': 17, 'trace_display': [0, 0, 6, 0], 'traces': [100, 0, 0, 0, 6, 0, 0, 0, 0, 0, 20, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 48694447
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 126101476828251876, 'source_is_minimal': False, 'source_label': '1764.4.k.bc.361.3', 'source_level': 1764, 'target_conrey_index': 361, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 126101476828251876, 'target_is_minimal': False, 'target_label': '1764.4.k.bc.361.3', 'target_level': 1764, 'twist_class_label': '1764.4.a.bb.1.1', 'twist_class_level': 1764, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 48694448
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 126101476828251876, 'source_is_minimal': False, 'source_label': '1764.4.k.bc.361.3', 'source_level': 1764, 'target_conrey_index': 361, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 126101476828251876, 'target_is_minimal': False, 'target_label': '1764.4.k.bc.361.2', 'target_level': 1764, 'twist_class_label': '1764.4.a.bb.1.1', 'twist_class_level': 1764, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48694449
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 126101476828251876, 'source_is_minimal': False, 'source_label': '1764.4.k.bc.361.3', 'source_level': 1764, 'target_conrey_index': 1549, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 126101476828251876, 'target_is_minimal': False, 'target_label': '1764.4.k.bc.1549.3', 'target_level': 1764, 'twist_class_label': '1764.4.a.bb.1.1', 'twist_class_level': 1764, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48694450
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 126101476828251876, 'source_is_minimal': False, 'source_label': '1764.4.k.bc.361.3', 'source_level': 1764, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 121597190006114020, 'target_is_minimal': True, 'target_label': '1764.4.a.bb.1.4', 'target_level': 1764, 'twist_class_label': '1764.4.a.bb.1.1', 'twist_class_level': 1764, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48694451
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 126101476828251876, 'source_is_minimal': False, 'source_label': '1764.4.k.bc.361.3', 'source_level': 1764, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 121597190006114020, 'target_is_minimal': True, 'target_label': '1764.4.a.bb.1.2', 'target_level': 1764, 'twist_class_label': '1764.4.a.bb.1.1', 'twist_class_level': 1764, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 48694452
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 126101476828251876, 'source_is_minimal': False, 'source_label': '1764.4.k.bc.361.3', 'source_level': 1764, 'target_conrey_index': 1549, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 126101476828251876, 'target_is_minimal': False, 'target_label': '1764.4.k.bc.1549.1', 'target_level': 1764, 'twist_class_label': '1764.4.a.bb.1.1', 'twist_class_level': 1764, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 48694453
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 126101476828251876, 'source_is_minimal': False, 'source_label': '1764.4.k.bc.361.3', 'source_level': 1764, 'target_conrey_index': 361, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 126101476828251876, 'target_is_minimal': False, 'target_label': '1764.4.k.bc.361.1', 'target_level': 1764, 'twist_class_label': '1764.4.a.bb.1.1', 'twist_class_level': 1764, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 4}
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id: 48694454
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 126101476828251876, 'source_is_minimal': False, 'source_label': '1764.4.k.bc.361.3', 'source_level': 1764, 'target_conrey_index': 1549, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 126101476828251876, 'target_is_minimal': False, 'target_label': '1764.4.k.bc.1549.2', 'target_level': 1764, 'twist_class_label': '1764.4.a.bb.1.1', 'twist_class_level': 1764, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48694455
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 126101476828251876, 'source_is_minimal': False, 'source_label': '1764.4.k.bc.361.3', 'source_level': 1764, 'target_conrey_index': 1549, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 126101476828251876, 'target_is_minimal': False, 'target_label': '1764.4.k.bc.1549.4', 'target_level': 1764, 'twist_class_label': '1764.4.a.bb.1.1', 'twist_class_level': 1764, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 48694456
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 126101476828251876, 'source_is_minimal': False, 'source_label': '1764.4.k.bc.361.3', 'source_level': 1764, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 121597190006114020, 'target_is_minimal': True, 'target_label': '1764.4.a.bb.1.3', 'target_level': 1764, 'twist_class_label': '1764.4.a.bb.1.1', 'twist_class_level': 1764, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 48694457
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 126101476828251876, 'source_is_minimal': False, 'source_label': '1764.4.k.bc.361.3', 'source_level': 1764, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 121597190006114020, 'target_is_minimal': True, 'target_label': '1764.4.a.bb.1.1', 'target_level': 1764, 'twist_class_label': '1764.4.a.bb.1.1', 'twist_class_level': 1764, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 4}
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id: 48694458
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 126101476828251876, 'source_is_minimal': False, 'source_label': '1764.4.k.bc.361.3', 'source_level': 1764, 'target_conrey_index': 361, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 126101476828251876, 'target_is_minimal': False, 'target_label': '1764.4.k.bc.361.4', 'target_level': 1764, 'twist_class_label': '1764.4.a.bb.1.1', 'twist_class_level': 1764, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 2191750
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 126101476828251876, 'p': 2}
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id: 2191751
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 126101476828251876, 'p': 3}
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id: 2191752
{'charpoly_factorization': [[[12544, 0, 112, 0, 1], 2]], 'hecke_orbit_code': 126101476828251876, 'p': 5}
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id: 2191753
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 126101476828251876, 'p': 7}
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id: 2191754
{'charpoly_factorization': [[[9314704, 0, 3052, 0, 1], 2]], 'hecke_orbit_code': 126101476828251876, 'p': 11}
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id: 2191755
{'charpoly_factorization': [[[-6976, 0, 1], 4]], 'hecke_orbit_code': 126101476828251876, 'p': 13}
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id: 2191756
{'charpoly_factorization': [[[82301184, 0, 9072, 0, 1], 2]], 'hecke_orbit_code': 126101476828251876, 'p': 17}
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id: 2191757
{'charpoly_factorization': [[[48664576, 0, 6976, 0, 1], 2]], 'hecke_orbit_code': 126101476828251876, 'p': 19}
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id: 2191758
{'charpoly_factorization': [[[754491024, 0, 27468, 0, 1], 2]], 'hecke_orbit_code': 126101476828251876, 'p': 23}
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id: 2191759
{'charpoly_factorization': [[[-12208, 0, 1], 4]], 'hecke_orbit_code': 126101476828251876, 'p': 29}
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id: 2191760
{'charpoly_factorization': [[[48664576, 0, 6976, 0, 1], 2]], 'hecke_orbit_code': 126101476828251876, 'p': 31}
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id: 2191761
{'charpoly_factorization': [[[6084, 78, 1], 4]], 'hecke_orbit_code': 126101476828251876, 'p': 37}
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id: 2191762
{'charpoly_factorization': [[[-170352, 0, 1], 4]], 'hecke_orbit_code': 126101476828251876, 'p': 41}
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id: 2191763
{'charpoly_factorization': [[[-148, 1], 8]], 'hecke_orbit_code': 126101476828251876, 'p': 43}
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id: 2191764
{'charpoly_factorization': [[[47016116224, 0, 216832, 0, 1], 2]], 'hecke_orbit_code': 126101476828251876, 'p': 47}
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id: 2191765
{'charpoly_factorization': [[[149035264, 0, 12208, 0, 1], 2]], 'hecke_orbit_code': 126101476828251876, 'p': 53}
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id: 2191766
{'charpoly_factorization': [[[91716911104, 0, 302848, 0, 1], 2]], 'hecke_orbit_code': 126101476828251876, 'p': 59}
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id: 2191767
{'charpoly_factorization': [[[116843646976, 0, 341824, 0, 1], 2]], 'hecke_orbit_code': 126101476828251876, 'p': 61}
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id: 2191768
{'charpoly_factorization': [[[67600, -260, 1], 4]], 'hecke_orbit_code': 126101476828251876, 'p': 67}
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id: 2191769
{'charpoly_factorization': [[[-515788, 0, 1], 4]], 'hecke_orbit_code': 126101476828251876, 'p': 71}
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id: 2191770
{'charpoly_factorization': [[[199330103296, 0, 446464, 0, 1], 2]], 'hecke_orbit_code': 126101476828251876, 'p': 73}
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id: 2191771
{'charpoly_factorization': [[[440896, 664, 1], 4]], 'hecke_orbit_code': 126101476828251876, 'p': 79}
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id: 2191772
{'charpoly_factorization': [[[-16128, 0, 1], 4]], 'hecke_orbit_code': 126101476828251876, 'p': 83}
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id: 2191773
{'charpoly_factorization': [[[595317178624, 0, 771568, 0, 1], 2]], 'hecke_orbit_code': 126101476828251876, 'p': 89}
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id: 2191774
{'charpoly_factorization': [[[-1367296, 0, 1], 4]], 'hecke_orbit_code': 126101476828251876, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 11, 'hecke_orbit': 29, 'label': '1764.4.k.bc', 'level': 1764, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 68166673
{'hecke_orbit_code': 126101476828251876, 'n': 1, 'trace_an': 8}
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id: 68166674
{'hecke_orbit_code': 126101476828251876, 'n': 2, 'trace_an': 0}
-
id: 68166675
{'hecke_orbit_code': 126101476828251876, 'n': 3, 'trace_an': 0}
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id: 68166676
{'hecke_orbit_code': 126101476828251876, 'n': 4, 'trace_an': 0}
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id: 68166677
{'hecke_orbit_code': 126101476828251876, 'n': 5, 'trace_an': 0}
-
id: 68166678
{'hecke_orbit_code': 126101476828251876, 'n': 6, 'trace_an': 0}
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id: 68166679
{'hecke_orbit_code': 126101476828251876, 'n': 7, 'trace_an': 0}
-
id: 68166680
{'hecke_orbit_code': 126101476828251876, 'n': 8, 'trace_an': 0}
-
id: 68166681
{'hecke_orbit_code': 126101476828251876, 'n': 9, 'trace_an': 0}
-
id: 68166682
{'hecke_orbit_code': 126101476828251876, 'n': 10, 'trace_an': 0}
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id: 68166683
{'hecke_orbit_code': 126101476828251876, 'n': 11, 'trace_an': 0}
-
id: 68166684
{'hecke_orbit_code': 126101476828251876, 'n': 12, 'trace_an': 0}
-
id: 68166685
{'hecke_orbit_code': 126101476828251876, 'n': 13, 'trace_an': 0}
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id: 68166686
{'hecke_orbit_code': 126101476828251876, 'n': 14, 'trace_an': 0}
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id: 68166687
{'hecke_orbit_code': 126101476828251876, 'n': 15, 'trace_an': 0}
-
id: 68166688
{'hecke_orbit_code': 126101476828251876, 'n': 16, 'trace_an': 0}
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id: 68166689
{'hecke_orbit_code': 126101476828251876, 'n': 17, 'trace_an': 0}
-
id: 68166690
{'hecke_orbit_code': 126101476828251876, 'n': 18, 'trace_an': 0}
-
id: 68166691
{'hecke_orbit_code': 126101476828251876, 'n': 19, 'trace_an': 0}
-
id: 68166692
{'hecke_orbit_code': 126101476828251876, 'n': 20, 'trace_an': 0}
-
id: 68166693
{'hecke_orbit_code': 126101476828251876, 'n': 21, 'trace_an': 0}
-
id: 68166694
{'hecke_orbit_code': 126101476828251876, 'n': 22, 'trace_an': 0}
-
id: 68166695
{'hecke_orbit_code': 126101476828251876, 'n': 23, 'trace_an': 0}
-
id: 68166696
{'hecke_orbit_code': 126101476828251876, 'n': 24, 'trace_an': 0}
-
id: 68166697
{'hecke_orbit_code': 126101476828251876, 'n': 25, 'trace_an': 52}
-
id: 68166698
{'hecke_orbit_code': 126101476828251876, 'n': 26, 'trace_an': 0}
-
id: 68166699
{'hecke_orbit_code': 126101476828251876, 'n': 27, 'trace_an': 0}
-
id: 68166700
{'hecke_orbit_code': 126101476828251876, 'n': 28, 'trace_an': 0}
-
id: 68166701
{'hecke_orbit_code': 126101476828251876, 'n': 29, 'trace_an': 0}
-
id: 68166702
{'hecke_orbit_code': 126101476828251876, 'n': 30, 'trace_an': 0}
-
id: 68166703
{'hecke_orbit_code': 126101476828251876, 'n': 31, 'trace_an': 0}
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id: 68166704
{'hecke_orbit_code': 126101476828251876, 'n': 32, 'trace_an': 0}
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