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mf_newforms • Show schema
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{'Nk2': 4312, 'analytic_conductor': 8.607873337894025, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 77, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1078, 2, [199, 981], [1, 1]], 'cm_discs': [], 'conrey_index': 1077, 'conrey_indexes': [1077], 'dim': 16, 'field_disc': 31199170285634550702800896, 'field_disc_factorization': [[2, 48], [577, 4]], 'field_poly': [1048576, 0, 1310720, 0, 819200, 0, 72448, 0, -1087, 0, -2272, 0, 512, 0, -32, 0, 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': [[3, [2, 0, 4, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007336727249974, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 32, 'hecke_ring_index_factorization': [[2, 5]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 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mf_hecke_cc • Show schema
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-
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{'Nk2': 4312, 'analytic_conductor': 8.607873337894025, 'char_conductor': 77, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1078, 2, [199, 981], [1, 1]], 'conrey_index': 1077, 'cusp_dim': 152, 'dim': 40, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 137472508982, 'hecke_orbit_dims': [8, 16, 16], 'label': '1078.2.c', 'level': 1078, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 11], 'level_radical': 154, 'mf_dim': 184, 'mf_new_dim': 40, 'num_forms': 3, 'prim_orbit_index': 2, 'relative_dim': 40, 'sturm_bound': 336, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 'traces': [40, 0, 0, -40, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 24, 40, 0, 0, 0, 0, 0, 8, -32, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 24, 0, -24, 0, 0, 0, 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mf_twists_cc • Show schema
Hide schema
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id: 40654523
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1077, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007336727249974, 'source_is_minimal': True, 'source_label': '1078.2.c.c.1077.4', 'source_level': 1078, 'target_conrey_index': 1077, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007336727249974, 'target_is_minimal': True, 'target_label': '1078.2.c.c.1077.4', 'target_level': 1078, 'twist_class_label': '1078.2.c.c.1077.4', 'twist_class_level': 1078, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40654524
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1077, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007336727249974, 'source_is_minimal': True, 'source_label': '1078.2.c.c.1077.4', 'source_level': 1078, 'target_conrey_index': 1011, 'target_dim': 32, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511348671480886, 'target_is_minimal': False, 'target_label': '1078.2.i.d.1011.2', 'target_level': 1078, 'twist_class_label': '1078.2.c.c.1077.4', 'twist_class_level': 1078, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40654525
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1077, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007336727249974, 'source_is_minimal': True, 'source_label': '1078.2.c.c.1077.4', 'source_level': 1078, 'target_conrey_index': 901, 'target_dim': 32, 'target_embedding_index': 12, 'target_hecke_orbit_code': 13511348671480886, 'target_is_minimal': False, 'target_label': '1078.2.i.d.901.12', 'target_level': 1078, 'twist_class_label': '1078.2.c.c.1077.4', 'twist_class_level': 1078, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40654526
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1077, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007336727249974, 'source_is_minimal': True, 'source_label': '1078.2.c.c.1077.4', 'source_level': 1078, 'target_conrey_index': 901, 'target_dim': 32, 'target_embedding_index': 11, 'target_hecke_orbit_code': 13511348671480886, 'target_is_minimal': False, 'target_label': '1078.2.i.d.901.11', 'target_level': 1078, 'twist_class_label': '1078.2.c.c.1077.4', 'twist_class_level': 1078, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40654527
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1077, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007336727249974, 'source_is_minimal': True, 'source_label': '1078.2.c.c.1077.4', 'source_level': 1078, 'target_conrey_index': 1011, 'target_dim': 32, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671480886, 'target_is_minimal': False, 'target_label': '1078.2.i.d.1011.1', 'target_level': 1078, 'twist_class_label': '1078.2.c.c.1077.4', 'twist_class_level': 1078, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 40654528
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1077, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007336727249974, 'source_is_minimal': True, 'source_label': '1078.2.c.c.1077.4', 'source_level': 1078, 'target_conrey_index': 1077, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007336727249974, 'target_is_minimal': True, 'target_label': '1078.2.c.c.1077.5', 'target_level': 1078, 'twist_class_label': '1078.2.c.c.1077.4', 'twist_class_level': 1078, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 40654529
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1077, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007336727249974, 'source_is_minimal': True, 'source_label': '1078.2.c.c.1077.4', 'source_level': 1078, 'target_conrey_index': 1077, 'target_dim': 16, 'target_embedding_index': 12, 'target_hecke_orbit_code': 9007336727249974, 'target_is_minimal': True, 'target_label': '1078.2.c.c.1077.12', 'target_level': 1078, 'twist_class_label': '1078.2.c.c.1077.4', 'twist_class_level': 1078, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 40654530
{'conductor': 77, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1077, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007336727249974, 'source_is_minimal': True, 'source_label': '1078.2.c.c.1077.4', 'source_level': 1078, 'target_conrey_index': 901, 'target_dim': 32, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511348671480886, 'target_is_minimal': False, 'target_label': '1078.2.i.d.901.2', 'target_level': 1078, 'twist_class_label': '1078.2.c.c.1077.4', 'twist_class_level': 1078, 'twisting_char_label': '77.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 40654531
{'conductor': 77, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1077, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007336727249974, 'source_is_minimal': True, 'source_label': '1078.2.c.c.1077.4', 'source_level': 1078, 'target_conrey_index': 901, 'target_dim': 32, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671480886, 'target_is_minimal': False, 'target_label': '1078.2.i.d.901.1', 'target_level': 1078, 'twist_class_label': '1078.2.c.c.1077.4', 'twist_class_level': 1078, 'twisting_char_label': '77.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 40654532
{'conductor': 77, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1077, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007336727249974, 'source_is_minimal': True, 'source_label': '1078.2.c.c.1077.4', 'source_level': 1078, 'target_conrey_index': 1011, 'target_dim': 32, 'target_embedding_index': 11, 'target_hecke_orbit_code': 13511348671480886, 'target_is_minimal': False, 'target_label': '1078.2.i.d.1011.11', 'target_level': 1078, 'twist_class_label': '1078.2.c.c.1077.4', 'twist_class_level': 1078, 'twisting_char_label': '77.54', 'twisting_conrey_index': 54, 'weight': 2}
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id: 40654533
{'conductor': 77, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1077, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007336727249974, 'source_is_minimal': True, 'source_label': '1078.2.c.c.1077.4', 'source_level': 1078, 'target_conrey_index': 1011, 'target_dim': 32, 'target_embedding_index': 12, 'target_hecke_orbit_code': 13511348671480886, 'target_is_minimal': False, 'target_label': '1078.2.i.d.1011.12', 'target_level': 1078, 'twist_class_label': '1078.2.c.c.1077.4', 'twist_class_level': 1078, 'twisting_char_label': '77.65', 'twisting_conrey_index': 65, 'weight': 2}
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id: 40654534
{'conductor': 77, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1077, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007336727249974, 'source_is_minimal': True, 'source_label': '1078.2.c.c.1077.4', 'source_level': 1078, 'target_conrey_index': 1077, 'target_dim': 16, 'target_embedding_index': 13, 'target_hecke_orbit_code': 9007336727249974, 'target_is_minimal': True, 'target_label': '1078.2.c.c.1077.13', 'target_level': 1078, 'twist_class_label': '1078.2.c.c.1077.4', 'twist_class_level': 1078, 'twisting_char_label': '77.76', 'twisting_conrey_index': 76, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1658550
{'charpoly_factorization': [[[1, 0, 1], 8]], 'hecke_orbit_code': 9007336727249974, 'p': 2}
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id: 1658551
{'charpoly_factorization': [[[2, 0, 4, 0, 1], 4]], 'hecke_orbit_code': 9007336727249974, 'p': 3}
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id: 1658552
{'charpoly_factorization': [[[4096, 0, 2304, 0, 450, 0, 36, 0, 1], 2]], 'hecke_orbit_code': 9007336727249974, 'p': 5}
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id: 1658553
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 9007336727249974, 'p': 7}
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id: 1658554
{'charpoly_factorization': [[[14641, -10648, 4114, -1408, 450, -128, 34, -8, 1], 2]], 'hecke_orbit_code': 9007336727249974, 'p': 11}
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id: 1658555
{'charpoly_factorization': [[[20736, 0, -12672, 0, 2216, 0, -88, 0, 1], 2]], 'hecke_orbit_code': 9007336727249974, 'p': 13}
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id: 1658556
{'charpoly_factorization': [[[1016064, 0, -152640, 0, 7490, 0, -148, 0, 1], 2]], 'hecke_orbit_code': 9007336727249974, 'p': 17}
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id: 1658557
{'charpoly_factorization': [[[1296, 0, -3312, 0, 2186, 0, -92, 0, 1], 2]], 'hecke_orbit_code': 9007336727249974, 'p': 19}
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id: 1658558
{'charpoly_factorization': [[[-144, -192, -38, 4, 1], 4]], 'hecke_orbit_code': 9007336727249974, 'p': 23}
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id: 1658559
{'charpoly_factorization': [[[331776, 0, 207360, 0, 10768, 0, 184, 0, 1], 2]], 'hecke_orbit_code': 9007336727249974, 'p': 29}
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id: 1658560
{'charpoly_factorization': [[[322624, 0, 85536, 0, 5634, 0, 132, 0, 1], 2]], 'hecke_orbit_code': 9007336727249974, 'p': 31}
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id: 1658561
{'charpoly_factorization': [[[-2592, -576, 68, 20, 1], 4]], 'hecke_orbit_code': 9007336727249974, 'p': 37}
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id: 1658562
{'charpoly_factorization': [[[5184, 0, -4896, 0, 1058, 0, -68, 0, 1], 2]], 'hecke_orbit_code': 9007336727249974, 'p': 41}
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id: 1658563
{'charpoly_factorization': [[[419904, 0, 85536, 0, 5620, 0, 132, 0, 1], 2]], 'hecke_orbit_code': 9007336727249974, 'p': 43}
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id: 1658564
{'charpoly_factorization': [[[64, 0, 1568, 0, 674, 0, 52, 0, 1], 2]], 'hecke_orbit_code': 9007336727249974, 'p': 47}
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id: 1658565
{'charpoly_factorization': [[[-56, 136, -10, -8, 1], 4]], 'hecke_orbit_code': 9007336727249974, 'p': 53}
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id: 1658566
{'charpoly_factorization': [[[21316, 0, 25968, 0, 3444, 0, 120, 0, 1], 2]], 'hecke_orbit_code': 9007336727249974, 'p': 59}
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id: 1658567
{'charpoly_factorization': [[[107495424, 0, -4396032, 0, 65672, 0, -424, 0, 1], 2]], 'hecke_orbit_code': 9007336727249974, 'p': 61}
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id: 1658568
{'charpoly_factorization': [[[-376, 296, -54, -4, 1], 4]], 'hecke_orbit_code': 9007336727249974, 'p': 67}
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id: 1658569
{'charpoly_factorization': [[[-1568, -912, -62, 12, 1], 4]], 'hecke_orbit_code': 9007336727249974, 'p': 71}
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id: 1658570
{'charpoly_factorization': [[[5184, 0, -1670688, 0, 42242, 0, -356, 0, 1], 2]], 'hecke_orbit_code': 9007336727249974, 'p': 73}
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id: 1658571
{'charpoly_factorization': [[[72, 0, 1], 8]], 'hecke_orbit_code': 9007336727249974, 'p': 79}
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id: 1658572
{'charpoly_factorization': [[[12194064, 0, -1101744, 0, 31658, 0, -316, 0, 1], 2]], 'hecke_orbit_code': 9007336727249974, 'p': 83}
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id: 1658573
{'charpoly_factorization': [[[454276, 0, 193232, 0, 12500, 0, 232, 0, 1], 2]], 'hecke_orbit_code': 9007336727249974, 'p': 89}
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id: 1658574
{'charpoly_factorization': [[[1250, 0, 100, 0, 1], 4]], 'hecke_orbit_code': 9007336727249974, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 3, 'label': '1078.2.c.c', 'level': 1078, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 115900000
{'hecke_orbit_code': 9007336727249974, 'n': 1, 'trace_an': 16}
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id: 115900001
{'hecke_orbit_code': 9007336727249974, 'n': 2, 'trace_an': 0}
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id: 115900002
{'hecke_orbit_code': 9007336727249974, 'n': 3, 'trace_an': 0}
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id: 115900003
{'hecke_orbit_code': 9007336727249974, 'n': 4, 'trace_an': -16}
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id: 115900004
{'hecke_orbit_code': 9007336727249974, 'n': 5, 'trace_an': 0}
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id: 115900005
{'hecke_orbit_code': 9007336727249974, 'n': 6, 'trace_an': 0}
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id: 115900006
{'hecke_orbit_code': 9007336727249974, 'n': 7, 'trace_an': 0}
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id: 115900007
{'hecke_orbit_code': 9007336727249974, 'n': 8, 'trace_an': 0}
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id: 115900008
{'hecke_orbit_code': 9007336727249974, 'n': 9, 'trace_an': 16}
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id: 115900009
{'hecke_orbit_code': 9007336727249974, 'n': 10, 'trace_an': 0}
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id: 115900010
{'hecke_orbit_code': 9007336727249974, 'n': 11, 'trace_an': 16}
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id: 115900011
{'hecke_orbit_code': 9007336727249974, 'n': 12, 'trace_an': 0}
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id: 115900012
{'hecke_orbit_code': 9007336727249974, 'n': 13, 'trace_an': 0}
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id: 115900013
{'hecke_orbit_code': 9007336727249974, 'n': 14, 'trace_an': 0}
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id: 115900014
{'hecke_orbit_code': 9007336727249974, 'n': 15, 'trace_an': 0}
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id: 115900015
{'hecke_orbit_code': 9007336727249974, 'n': 16, 'trace_an': 16}
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id: 115900016
{'hecke_orbit_code': 9007336727249974, 'n': 17, 'trace_an': 0}
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id: 115900017
{'hecke_orbit_code': 9007336727249974, 'n': 18, 'trace_an': 0}
-
id: 115900018
{'hecke_orbit_code': 9007336727249974, 'n': 19, 'trace_an': 0}
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id: 115900019
{'hecke_orbit_code': 9007336727249974, 'n': 20, 'trace_an': 0}
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id: 115900020
{'hecke_orbit_code': 9007336727249974, 'n': 21, 'trace_an': 0}
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id: 115900021
{'hecke_orbit_code': 9007336727249974, 'n': 22, 'trace_an': -8}
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id: 115900022
{'hecke_orbit_code': 9007336727249974, 'n': 23, 'trace_an': -16}
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id: 115900023
{'hecke_orbit_code': 9007336727249974, 'n': 24, 'trace_an': 0}
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id: 115900024
{'hecke_orbit_code': 9007336727249974, 'n': 25, 'trace_an': -64}
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id: 115900025
{'hecke_orbit_code': 9007336727249974, 'n': 26, 'trace_an': 0}
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id: 115900026
{'hecke_orbit_code': 9007336727249974, 'n': 27, 'trace_an': 0}
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id: 115900027
{'hecke_orbit_code': 9007336727249974, 'n': 28, 'trace_an': 0}
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id: 115900028
{'hecke_orbit_code': 9007336727249974, 'n': 29, 'trace_an': 0}
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id: 115900029
{'hecke_orbit_code': 9007336727249974, 'n': 30, 'trace_an': 0}
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id: 115900030
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