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{'Nk2': 24320, 'analytic_conductor': 48.54904442893847, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, -1], [19, -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': [6080, 1, [191, 5701, 1217, 1921], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 5, 'field_disc': 387268, 'field_disc_factorization': [[2, 2], [7, 1], [13831, 1]], 'field_poly': [-2, 12, 4, -7, -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': [[3, [10, -8, -20, -3, 4, 1]], [7, [4, -36, -60, -13, 4, 1]], [11, [-64, 208, -44, -32, 2, 1]]], 'hecke_orbit': 61, 'hecke_orbit_code': 270215977675790272, 'hecke_ring_generator_nbound': 7, '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': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '6080.2.a.ci', 'level': 6080, '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, 19], 'level_radical': 190, 'minimal_twist': '3040.2.a.u', 'nf_label': '5.5.387268.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1-\\beta _{1})q^{3}+q^{5}+(-1-\\beta _{4})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6080.2.a', 'trace_display': [0, -4, 5, -4], 'trace_hash': 118721181053846627, 'trace_moments': [{'__RealLiteral__': 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mf_newspaces • Show schema
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{'ALdims': [17, 21, 19, 15, 19, 15, 17, 21], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [90, 107, 103, 97, 101, 99, 103, 93], 'Nk2': 24320, 'analytic_conductor': 48.54904442893847, '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': [6080, 1, [191, 5701, 1217, 1921], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 937, 'dim': 144, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33560512, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5], 'label': '6080.2.a', 'level': 6080, '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, 19], 'level_radical': 190, 'mf_dim': 984, 'mf_new_dim': 144, 'num_forms': 64, 'plus_dim': 64, 'prim_orbit_index': 1, 'relative_dim': 144, 'sturm_bound': 1920, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [144, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, -64, 0, 0, 0, 96, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -96, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -64, 0, 0, 0, 96, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 144, 0, 0, 0, 64, 0, 0, 0, -64, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 32, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 128, 0, 0, 0, 160, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, -96, 0, 0, 0, 128, 0, 0, 0, 224, 0, 0, 0, 32, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -128, 0, 0, 0, -64, 0, 0, 0, -320, 0, 0, 0, -32, 0, 0, 0, 192, 0, 0, 0, 128, 0, 0, 0, 64, 0, 0, 0, 144, 0, 0, 0, -96, 0, 0, 0, -192, 0, 0, 0, 352, 0, 0, 0, -192, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -64, 0, 0, 0, 96, 0, 0, 0, -96, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -192, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 0, 64, 0, 0, 0, -320, 0, 0, 0, -192, 0, 0, 0, -128, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -192, 0, 0, 0, 320, 0, 0, 0, 64, 0, 0, 0, -96, 0, 0, 0, -160, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -512, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, -128, 0, 0, 0, -32, 0, 0, 0, 224, 0, 0, 0, -64, 0, 0, 0, -256, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 64, 0, 0, 0, 96, 0, 0, 0, -128, 0, 0, 0, -32, 0, 0, 0, -192, 0, 0, 0, 144, 0, 0, 0, 64, 0, 0, 0, 224, 0, 0, 0, 192, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -64, 0, 0, 0, -96, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 96, 0, 0, 0, -96, 0, 0, 0, 96, 0, 0, 0, -128, 0, 0, 0, 128, 0, 0, 0, -160, 0, 0, 0, 96, 0, 0, 0, 224, 0, 0, 0, 128, 0, 0, 0, 64, 0, 0, 0, 224, 0, 0, 0, 32, 0, 0, 0, 144, 0, 0, 0, -96, 0, 0, 0, -192, 0, 0, 0, 64, 0, 0, 0, 96, 0, 0, 0, -192, 0, 0, 0, -192, 0, 0, 0, -160, 0, 0, 0, -352, 0, 0, 0, -96, 0, 0, 0, 160, 0, 0, 0, -576, 0, 0, 0, -224, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -288, 0, 0, 0, -96, 0, 0, 0, -192, 0, 0, 0, -288, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -224, 0, 0, 0, 288, 0, 0, 0, 368, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 544, 0, 0, 0, -128, 0, 0, 0, 224, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -384, 0, 0, 0, -128, 0, 0, 0, 576, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, -160, 0, 0, 0, 32, 0, 0, 0, -64, 0, 0, 0, -96, 0, 0, 0, 128, 0, 0, 0, 32, 0, 0, 0, 64, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 208, 0, 0, 0, -96, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 128, 0, 0, 0, 384, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49098477
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 270215977675790272, 'source_is_minimal': False, 'source_label': '6080.2.a.ci.1.1', 'source_level': 6080, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 270215977675790272, 'target_is_minimal': False, 'target_label': '6080.2.a.ci.1.1', 'target_level': 6080, 'twist_class_label': '3040.2.a.u.1.1', 'twist_class_level': 3040, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49098478
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 270215977675790272, 'source_is_minimal': False, 'source_label': '6080.2.a.ci.1.1', 'source_level': 6080, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 283726776557901760, 'target_is_minimal': False, 'target_label': '6080.2.a.cl.1.5', 'target_level': 6080, 'twist_class_label': '3040.2.a.u.1.1', 'twist_class_level': 3040, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49098479
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 270215977675790272, 'source_is_minimal': False, 'source_label': '6080.2.a.ci.1.1', 'source_level': 6080, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580967392, 'target_is_minimal': True, 'target_label': '3040.2.a.u.1.1', 'target_level': 3040, 'twist_class_label': '3040.2.a.u.1.1', 'twist_class_level': 3040, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49098480
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 270215977675790272, 'source_is_minimal': False, 'source_label': '6080.2.a.ci.1.1', 'source_level': 6080, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 103582791463078880, 'target_is_minimal': True, 'target_label': '3040.2.a.x.1.5', 'target_level': 3040, 'twist_class_label': '3040.2.a.u.1.1', 'twist_class_level': 3040, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4086325
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 270215977675790272, 'p': 2}
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id: 4086326
{'charpoly_factorization': [[[10, -8, -20, -3, 4, 1], 1]], 'hecke_orbit_code': 270215977675790272, 'p': 3}
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id: 4086327
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 270215977675790272, 'p': 5}
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id: 4086328
{'charpoly_factorization': [[[4, -36, -60, -13, 4, 1], 1]], 'hecke_orbit_code': 270215977675790272, 'p': 7}
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id: 4086329
{'charpoly_factorization': [[[-64, 208, -44, -32, 2, 1], 1]], 'hecke_orbit_code': 270215977675790272, 'p': 11}
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id: 4086330
{'charpoly_factorization': [[[-2, -54, 74, -19, -4, 1], 1]], 'hecke_orbit_code': 270215977675790272, 'p': 13}
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id: 4086331
{'charpoly_factorization': [[[-1192, -1204, -302, 13, 12, 1], 1]], 'hecke_orbit_code': 270215977675790272, 'p': 17}
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id: 4086332
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 270215977675790272, 'p': 19}
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id: 4086333
{'charpoly_factorization': [[[-772, 756, -152, -37, 8, 1], 1]], 'hecke_orbit_code': 270215977675790272, 'p': 23}
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id: 4086334
{'charpoly_factorization': [[[-5480, 292, 590, -81, -6, 1], 1]], 'hecke_orbit_code': 270215977675790272, 'p': 29}
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id: 4086335
{'charpoly_factorization': [[[1888, -432, -480, -40, 10, 1], 1]], 'hecke_orbit_code': 270215977675790272, 'p': 31}
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id: 4086336
{'charpoly_factorization': [[[-2216, 2744, 362, -98, -6, 1], 1]], 'hecke_orbit_code': 270215977675790272, 'p': 37}
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id: 4086337
{'charpoly_factorization': [[[320, -128, -160, -12, 8, 1], 1]], 'hecke_orbit_code': 270215977675790272, 'p': 41}
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id: 4086338
{'charpoly_factorization': [[[-1328, 4384, -916, -108, 12, 1], 1]], 'hecke_orbit_code': 270215977675790272, 'p': 43}
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id: 4086339
{'charpoly_factorization': [[[-6592, -4480, -804, 20, 16, 1], 1]], 'hecke_orbit_code': 270215977675790272, 'p': 47}
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id: 4086340
{'charpoly_factorization': [[[-28486, 1718, 1900, -79, -18, 1], 1]], 'hecke_orbit_code': 270215977675790272, 'p': 53}
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id: 4086341
{'charpoly_factorization': [[[392, 252, -138, -55, 8, 1], 1]], 'hecke_orbit_code': 270215977675790272, 'p': 59}
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id: 4086342
{'charpoly_factorization': [[[-64, 64, 20, -28, 2, 1], 1]], 'hecke_orbit_code': 270215977675790272, 'p': 61}
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id: 4086343
{'charpoly_factorization': [[[-50, -504, -514, -79, 10, 1], 1]], 'hecke_orbit_code': 270215977675790272, 'p': 67}
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id: 4086344
{'charpoly_factorization': [[[-22016, -5888, 4088, -196, -18, 1], 1]], 'hecke_orbit_code': 270215977675790272, 'p': 71}
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id: 4086345
{'charpoly_factorization': [[[-5480, -1396, 646, 253, 28, 1], 1]], 'hecke_orbit_code': 270215977675790272, 'p': 73}
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id: 4086346
{'charpoly_factorization': [[[3296, -2160, -1008, -40, 14, 1], 1]], 'hecke_orbit_code': 270215977675790272, 'p': 79}
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id: 4086347
{'charpoly_factorization': [[[-5840, 4928, -172, -204, 8, 1], 1]], 'hecke_orbit_code': 270215977675790272, 'p': 83}
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id: 4086348
{'charpoly_factorization': [[[-736, -816, 64, 232, 30, 1], 1]], 'hecke_orbit_code': 270215977675790272, 'p': 89}
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id: 4086349
{'charpoly_factorization': [[[100552, 3520, -2734, -126, 18, 1], 1]], 'hecke_orbit_code': 270215977675790272, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 61, 'label': '6080.2.a.ci', 'level': 6080, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 72094723
{'hecke_orbit_code': 270215977675790272, 'n': 1, 'trace_an': 5}
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id: 72094724
{'hecke_orbit_code': 270215977675790272, 'n': 2, 'trace_an': 0}
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id: 72094725
{'hecke_orbit_code': 270215977675790272, 'n': 3, 'trace_an': -4}
-
id: 72094726
{'hecke_orbit_code': 270215977675790272, 'n': 4, 'trace_an': 0}
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id: 72094727
{'hecke_orbit_code': 270215977675790272, 'n': 5, 'trace_an': 5}
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id: 72094728
{'hecke_orbit_code': 270215977675790272, 'n': 6, 'trace_an': 0}
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id: 72094729
{'hecke_orbit_code': 270215977675790272, 'n': 7, 'trace_an': -4}
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id: 72094730
{'hecke_orbit_code': 270215977675790272, 'n': 8, 'trace_an': 0}
-
id: 72094731
{'hecke_orbit_code': 270215977675790272, 'n': 9, 'trace_an': 7}
-
id: 72094732
{'hecke_orbit_code': 270215977675790272, 'n': 10, 'trace_an': 0}
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id: 72094733
{'hecke_orbit_code': 270215977675790272, 'n': 11, 'trace_an': -2}
-
id: 72094734
{'hecke_orbit_code': 270215977675790272, 'n': 12, 'trace_an': 0}
-
id: 72094735
{'hecke_orbit_code': 270215977675790272, 'n': 13, 'trace_an': 4}
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id: 72094736
{'hecke_orbit_code': 270215977675790272, 'n': 14, 'trace_an': 0}
-
id: 72094737
{'hecke_orbit_code': 270215977675790272, 'n': 15, 'trace_an': -4}
-
id: 72094738
{'hecke_orbit_code': 270215977675790272, 'n': 16, 'trace_an': 0}
-
id: 72094739
{'hecke_orbit_code': 270215977675790272, 'n': 17, 'trace_an': -12}
-
id: 72094740
{'hecke_orbit_code': 270215977675790272, 'n': 18, 'trace_an': 0}
-
id: 72094741
{'hecke_orbit_code': 270215977675790272, 'n': 19, 'trace_an': 5}
-
id: 72094742
{'hecke_orbit_code': 270215977675790272, 'n': 20, 'trace_an': 0}
-
id: 72094743
{'hecke_orbit_code': 270215977675790272, 'n': 21, 'trace_an': 10}
-
id: 72094744
{'hecke_orbit_code': 270215977675790272, 'n': 22, 'trace_an': 0}
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id: 72094745
{'hecke_orbit_code': 270215977675790272, 'n': 23, 'trace_an': -8}
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id: 72094746
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id: 72094980
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