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mf_newforms • Show schema
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{'Nk2': 8800, 'analytic_conductor': 17.567088444681684, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [2200, 2, [551, 1101, 177, 1201], [2, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 1849, 'dim': 4, 'field_disc': 400, 'field_disc_factorization': [[2, 4], [5, 2]], 'field_poly': [1, 0, 3, 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, [1, 0, 3, 0, 1]], [7, [1, 0, 7, 0, 1]], [13, [361, 0, 42, 0, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45036065026738328, 'hecke_ring_generator_nbound': 3, '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, 5, 2, 1, 2, 0]], 'is_cm': False, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 8800, 'analytic_conductor': 17.567088444681684, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [2200, 2, [551, 1101, 177, 1201], [2, 2, 1, 2]], 'conrey_index': 1849, 'cusp_dim': 336, 'dim': 46, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13], 'hecke_orbit_code': 68753033368, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6], 'label': '2200.2.b', 'level': 2200, '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, 5, 11], 'level_radical': 110, 'mf_dim': 384, 'mf_new_dim': 46, 'num_forms': 13, 'prim_orbit_index': 2, 'relative_dim': 46, 'sturm_bound': 720, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [46, 0, 0, 0, 0, 0, 0, 0, -42, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, -4, 0, 0, 0, 0, 0, 0, 0, -30, 0, 24, 0, 0, 0, 0, 0, 0, 0, 20, 0, -44, 0, 0, 0, 0, 0, 0, 0, -20, 0, -16, 0, 0, 0, 0, 0, 0, 0, 40, 0, 14, 0, 0, 0, 0, 0, 0, 0, -52, 0, -32, 0, 0, 0, 0, 0, 0, 0, 18, 0, -4, 0, 0, 0, 0, 0, 0, 0, 44, 0, -20, 0, 0, 0, 0, 0, 0, 0, -8, 0, 46, 0, 0, 0, 0, 0, 0, 0, 16, 0, 32, 0, 0, 0, 0, 0, 0, 0, 8, 0, 72, 0, 0, 0, 0, 0, 0, 0, 20, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -54, 0, 112, 0, 0, 0, 0, 0, 0, 0, 60, 0, 80, 0, 0, 0, 0, 0, 0, 0, -88, 0, 32, 0, 0, 0, 0, 0, 0, 0, 4, 0, -52, 0, 0, 0, 0, 0, 0, 0, -20, 0, -48, 0, 0, 0, 0, 0, 0, 0, 8, 0, -104, 0, 0, 0, 0, 0, 0, 0, -120, 0, -24, 0, 0, 0, 0, 0, 0, 0, -56, 0, 52, 0, 0, 0, 0, 0, 0, 0, 144, 0, -76, 0, 0, 0, 0, 0, 0, 0, -104, 0, -44, 0, 0, 0, 0, 0, 0, 0, -28, 0, 56, 0, 0, 0, 0, 0, 0, 0, 140, 0, -44, 0, 0, 0, 0, 0, 0, 0, -106, 0, -252, 0, 0, 0, 0, 0, 0, 0, -48, 0, -40, 0, 0, 0, 0, 0, 0, 0, 8, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 64, 0, -28, 0, 0, 0, 0, 0, 0, 0, 244, 0, 28, 0, 0, 0, 0, 0, 0, 0, 76, 0, 56, 0, 0, 0, 0, 0, 0, 0, -192, 0, 18, 0, 0, 0, 0, 0, 0, 0, -12, 0, 168, 0, 0, 0, 0, 0, 0, 0, 20, 0, -208, 0, 0, 0, 0, 0, 0, 0, 72, 0, 24, 0, 0, 0, 0, 0, 0, 0, -72, 0, 88, 0, 0, 0, 0, 0, 0, 0, 108, 0, -68, 0, 0, 0, 0, 0, 0, 0, 112, 0, -148, 0, 0, 0, 0, 0, 0, 0, -16, 0, -8, 0, 0, 0, 0, 0, 0, 0, 184, 0, 2, 0, 0, 0, 0, 0, 0, 0, -84, 0, -52, 0, 0, 0, 0, 0, 0, 0, 96, 0, -52, 0, 0, 0, 0, 0, 0, 0, 8, 0, -20, 0, 0, 0, 0, 0, 0, 0, -80, 0, -144, 0, 0, 0, 0, 0, 0, 0, -88, 0, -48, 0, 0, 0, 0, 0, 0, 0, -56, 0, -312, 0, 0, 0, 0, 0, 0, 0, 80, 0, -312, 0, 0, 0, 0, 0, 0, 0, 56, 0, 108, 0, 0, 0, 0, 0, 0, 0, 98, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 180, 0, 0, 0, 0, 0, 0, 0, 196, 0, 140, 0, 0, 0, 0, 0, 0, 0, -52, 0, 88, 0, 0, 0, 0, 0, 0, 0, 180, 0, 24, 0, 0, 0, 0, 0, 0, 0, 96, 0, -168, 0, 0, 0, 0, 0, 0, 0, 152, 0, 200, 0, 0, 0, 0, 0, 0, 0, -16, 0, -76, 0, 0, 0, 0, 0, 0, 0, -80, 0, 248, 0, 0, 0, 0, 0, 0, 0, -12, 0, 260, 0, 0, 0, 0, 0, 0, 0, -120, 0, -220, 0, 0, 0, 0, 0, 0, 0, -116, 0, 20, 0, 0, 0, 0, 0, 0, 0, -4, 0, -224, 0, 0, 0, 0, 0, 0, 0, -408, 0, -24, 0, 0, 0, 0, 0, 0, 0, 52, 0, 12, 0, 0, 0, 0, 0, 0, 0, 40, 0, -48, 0, 0, 0, 0, 0, 0, 0, -72, 0, -284, 0, 0, 0, 0, 0, 0, 0, -280, 0, -84, 0, 0, 0, 0, 0, 0, 0, -136, 0, 216, 0, 0, 0, 0, 0, 0, 0, 36, 0, -128, 0, 0, 0, 0, 0, 0, 0, 66, 0, -72, 0, 0, 0, 0, 0, 0, 0, 256, 0, 216, 0, 0, 0, 0, 0, 0, 0, -160, 0, 72, 0, 0, 0, 0, 0, 0, 0, 60, 0, 140, 0, 0, 0, 0, 0, 0, 0, -12, 0, 216, 0, 0, 0, 0, 0, 0, 0, 200, 0, 68, 0, 0, 0, 0, 0, 0, 0, -48, 0, 152, 0, 0, 0, 0, 0, 0, 0, -40, 0, 408, 0, 0, 0, 0, 0, 0, 0, 204, 0, 184, 0, 0, 0, 0, 0, 0, 0, 392, 0, 108, 0, 0, 0, 0, 0, 0, 0, 48, 0, -80, 0, 0, 0, 0, 0, 0, 0, -268, 0, 374, 0, 0, 0, 0, 0, 0, 0, -144, 0, -204, 0, 0, 0, 0, 0, 0, 0, -156, 0, -288, 0, 0, 0, 0, 0, 0, 0, -16, 0, -432, 0, 0, 0, 0, 0, 0, 0, 32, 0, 92, 0, 0, 0, 0, 0, 0, 0, 80, 0, -118, 0, 0, 0, 0, 0, 0, 0, -88, 0, -272, 0, 0, 0, 0, 0, 0, 0, 36, 0, 88, 0, 0, 0, 0, 0, 0, 0, 216, 0, -320, 0, 0, 0, 0, 0, 0, 0, -136, 0, -8, 0, 0, 0, 0, 0, 0, 0, -92, 0, -412, 0, 0, 0, 0, 0, 0, 0, 360, 0, -460, 0, 0, 0, 0, 0, 0, 0, 136, 0, 46, 0, 0, 0, 0, 0, 0, 0, 48, 0, 156, 0, 0, 0, 0, 0, 0, 0, 48, 0, 164, 0, 0, 0, 0, 0, 0, 0, -136, 0, -24, 0, 0, 0, 0, 0, 0, 0, -300, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47156348
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738328, 'source_is_minimal': False, 'source_label': '2200.2.b.k.1849.2', 'source_level': 2200, 'target_conrey_index': 1849, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036065026738328, 'target_is_minimal': False, 'target_label': '2200.2.b.k.1849.2', 'target_level': 2200, 'twist_class_label': '2200.2.a.p.1.2', 'twist_class_level': 2200, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47156349
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738328, 'source_is_minimal': False, 'source_label': '2200.2.b.k.1849.2', 'source_level': 2200, 'target_conrey_index': 4049, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 112590059437297968, 'target_is_minimal': False, 'target_label': '4400.2.b.z.4049.3', 'target_level': 4400, 'twist_class_label': '2200.2.a.p.1.2', 'twist_class_level': 2200, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47156350
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738328, 'source_is_minimal': False, 'source_label': '2200.2.b.k.1849.2', 'source_level': 2200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594071484568, 'target_is_minimal': True, 'target_label': '2200.2.a.q.1.1', 'target_level': 2200, 'twist_class_label': '2200.2.a.p.1.2', 'twist_class_level': 2200, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47156351
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738328, 'source_is_minimal': False, 'source_label': '2200.2.b.k.1849.2', 'source_level': 2200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67553994444114072, 'target_is_minimal': True, 'target_label': '2200.2.a.p.1.2', 'target_level': 2200, 'twist_class_label': '2200.2.a.p.1.2', 'twist_class_level': 2200, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47156352
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738328, 'source_is_minimal': False, 'source_label': '2200.2.b.k.1849.2', 'source_level': 2200, 'target_conrey_index': 1849, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 45036065026738328, 'target_is_minimal': False, 'target_label': '2200.2.b.k.1849.3', 'target_level': 2200, 'twist_class_label': '2200.2.a.p.1.2', 'twist_class_level': 2200, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47156353
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738328, 'source_is_minimal': False, 'source_label': '2200.2.b.k.1849.2', 'source_level': 2200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 180143985128378672, 'target_is_minimal': False, 'target_label': '4400.2.a.bo.1.1', 'target_level': 4400, 'twist_class_label': '2200.2.a.p.1.2', 'twist_class_level': 2200, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47156354
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738328, 'source_is_minimal': False, 'source_label': '2200.2.b.k.1849.2', 'source_level': 2200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 171136785873637680, 'target_is_minimal': False, 'target_label': '4400.2.a.bm.1.2', 'target_level': 4400, 'twist_class_label': '2200.2.a.p.1.2', 'twist_class_level': 2200, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47156355
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1849, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738328, 'source_is_minimal': False, 'source_label': '2200.2.b.k.1849.2', 'source_level': 2200, 'target_conrey_index': 4049, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 112590059437297968, 'target_is_minimal': False, 'target_label': '4400.2.b.z.4049.2', 'target_level': 4400, 'twist_class_label': '2200.2.a.p.1.2', 'twist_class_level': 2200, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2493050
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45036065026738328, 'p': 2}
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id: 2493051
{'charpoly_factorization': [[[1, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 45036065026738328, 'p': 3}
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id: 2493052
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45036065026738328, 'p': 5}
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id: 2493053
{'charpoly_factorization': [[[1, 0, 7, 0, 1], 1]], 'hecke_orbit_code': 45036065026738328, 'p': 7}
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id: 2493054
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 45036065026738328, 'p': 11}
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id: 2493055
{'charpoly_factorization': [[[361, 0, 42, 0, 1], 1]], 'hecke_orbit_code': 45036065026738328, 'p': 13}
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id: 2493056
{'charpoly_factorization': [[[961, 0, 63, 0, 1], 1]], 'hecke_orbit_code': 45036065026738328, 'p': 17}
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id: 2493057
{'charpoly_factorization': [[[31, -12, 1], 2]], 'hecke_orbit_code': 45036065026738328, 'p': 19}
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id: 2493058
{'charpoly_factorization': [[[1, 0, 7, 0, 1], 1]], 'hecke_orbit_code': 45036065026738328, 'p': 23}
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id: 2493059
{'charpoly_factorization': [[[-61, 1, 1], 2]], 'hecke_orbit_code': 45036065026738328, 'p': 29}
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id: 2493060
{'charpoly_factorization': [[[-41, 4, 1], 2]], 'hecke_orbit_code': 45036065026738328, 'p': 31}
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id: 2493061
{'charpoly_factorization': [[[1, 0, 18, 0, 1], 1]], 'hecke_orbit_code': 45036065026738328, 'p': 37}
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id: 2493062
{'charpoly_factorization': [[[-29, 8, 1], 2]], 'hecke_orbit_code': 45036065026738328, 'p': 41}
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id: 2493063
{'charpoly_factorization': [[[5776, 0, 168, 0, 1], 1]], 'hecke_orbit_code': 45036065026738328, 'p': 43}
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id: 2493064
{'charpoly_factorization': [[[5, 0, 1], 2]], 'hecke_orbit_code': 45036065026738328, 'p': 47}
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id: 2493065
{'charpoly_factorization': [[[25, 0, 15, 0, 1], 1]], 'hecke_orbit_code': 45036065026738328, 'p': 53}
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id: 2493066
{'charpoly_factorization': [[[-29, -8, 1], 2]], 'hecke_orbit_code': 45036065026738328, 'p': 59}
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id: 2493067
{'charpoly_factorization': [[[25, 15, 1], 2]], 'hecke_orbit_code': 45036065026738328, 'p': 61}
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id: 2493068
{'charpoly_factorization': [[[144, 0, 1], 2]], 'hecke_orbit_code': 45036065026738328, 'p': 67}
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id: 2493069
{'charpoly_factorization': [[[-116, 6, 1], 2]], 'hecke_orbit_code': 45036065026738328, 'p': 71}
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id: 2493070
{'charpoly_factorization': [[[11881, 0, 223, 0, 1], 1]], 'hecke_orbit_code': 45036065026738328, 'p': 73}
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id: 2493071
{'charpoly_factorization': [[[71, -17, 1], 2]], 'hecke_orbit_code': 45036065026738328, 'p': 79}
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id: 2493072
{'charpoly_factorization': [[[7921, 0, 227, 0, 1], 1]], 'hecke_orbit_code': 45036065026738328, 'p': 83}
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id: 2493073
{'charpoly_factorization': [[[-19, -13, 1], 2]], 'hecke_orbit_code': 45036065026738328, 'p': 89}
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id: 2493074
{'charpoly_factorization': [[[17161, 0, 267, 0, 1], 1]], 'hecke_orbit_code': 45036065026738328, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 11, 'label': '2200.2.b.k', 'level': 2200, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 55385869
{'hecke_orbit_code': 45036065026738328, 'n': 1, 'trace_an': 4}
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id: 55385870
{'hecke_orbit_code': 45036065026738328, 'n': 2, 'trace_an': 0}
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id: 55385871
{'hecke_orbit_code': 45036065026738328, 'n': 3, 'trace_an': 0}
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id: 55385872
{'hecke_orbit_code': 45036065026738328, 'n': 4, 'trace_an': 0}
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id: 55385873
{'hecke_orbit_code': 45036065026738328, 'n': 5, 'trace_an': 0}
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id: 55385874
{'hecke_orbit_code': 45036065026738328, 'n': 6, 'trace_an': 0}
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id: 55385875
{'hecke_orbit_code': 45036065026738328, 'n': 7, 'trace_an': 0}
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id: 55385876
{'hecke_orbit_code': 45036065026738328, 'n': 8, 'trace_an': 0}
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id: 55385877
{'hecke_orbit_code': 45036065026738328, 'n': 9, 'trace_an': 6}
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id: 55385878
{'hecke_orbit_code': 45036065026738328, 'n': 10, 'trace_an': 0}
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id: 55385879
{'hecke_orbit_code': 45036065026738328, 'n': 11, 'trace_an': 4}
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id: 55385880
{'hecke_orbit_code': 45036065026738328, 'n': 12, 'trace_an': 0}
-
id: 55385881
{'hecke_orbit_code': 45036065026738328, 'n': 13, 'trace_an': 0}
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id: 55385882
{'hecke_orbit_code': 45036065026738328, 'n': 14, 'trace_an': 0}
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id: 55385883
{'hecke_orbit_code': 45036065026738328, 'n': 15, 'trace_an': 0}
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id: 55385884
{'hecke_orbit_code': 45036065026738328, 'n': 16, 'trace_an': 0}
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id: 55385885
{'hecke_orbit_code': 45036065026738328, 'n': 17, 'trace_an': 0}
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id: 55385886
{'hecke_orbit_code': 45036065026738328, 'n': 18, 'trace_an': 0}
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id: 55385887
{'hecke_orbit_code': 45036065026738328, 'n': 19, 'trace_an': 24}
-
id: 55385888
{'hecke_orbit_code': 45036065026738328, 'n': 20, 'trace_an': 0}
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id: 55385889
{'hecke_orbit_code': 45036065026738328, 'n': 21, 'trace_an': -8}
-
id: 55385890
{'hecke_orbit_code': 45036065026738328, 'n': 22, 'trace_an': 0}
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id: 55385891
{'hecke_orbit_code': 45036065026738328, 'n': 23, 'trace_an': 0}
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id: 55385892
{'hecke_orbit_code': 45036065026738328, 'n': 24, 'trace_an': 0}
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id: 55385893
{'hecke_orbit_code': 45036065026738328, 'n': 25, 'trace_an': 0}
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id: 55385894
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id: 55386112
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id: 55386113
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id: 55386114
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id: 55386115
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id: 55386116
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id: 55386117
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id: 55386119
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id: 55386120
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id: 55386121
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id: 55386122
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id: 55386123
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id: 55386125
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id: 55386126
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