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mf_newforms • Show schema
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{'Nk2': 18720, 'analytic_conductor': 37.36998814595922, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, -1], [13, -1]], 'atkin_lehner_string': '+---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4680, 1, [3511, 2341, 2081, 937, 1081], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [-12, 0, 1]], [11, [6, -6, 1]], [17, [-12, 0, 1]], [19, [22, 10, 1]]], 'hecke_orbit': 31, 'hecke_orbit_code': 135107988854673992, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4680.2.a.be', 'level': 4680, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '520.2.a.d', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}+2\\beta q^{7}+(3+\\beta )q^{11}+q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4680.2.a', 'trace_display': [0, 0, 2, 0], 'trace_hash': 1647305520791537976, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.032', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.934', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.295', 'prec': 17}, 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mf_hecke_cc • Show schema
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'dual_conrey_index': 1, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': -1.7320508075688772, 'hecke_orbit': 31, 'hecke_orbit_code': 135107988854673992, 'label': '4680.2.a.be.1.1', 'level': 4680, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [13, -1]], 5, 4], [[[2, -1], [3, 1], [5, 1], [13, -1]], 2, 2], [[[2, 1], [3, 1], [5, -1], [13, -1]], 2, 2], [[[2, -1], [3, 1], [5, -1], [13, 1]], 3, 2], [[[2, -1], [3, 1], [5, -1], [13, -1]], 3, 1], [[[2, -1], [3, -1], [5, 1], [13, 1]], 4, 3], [[[2, 1], [3, -1], [5, -1], [13, -1]], 6, 3], [[[2, 1], [3, 1], [5, 1], [13, -1]], 3, 1], [[[2, 1], [3, -1], [5, 1], [13, -1]], 4, 4], [[[2, 1], [3, 1], [5, 1], [13, 1]], 3, 2], [[[2, -1], [3, 1], [5, 1], [13, 1]], 4, 2], [[[2, 1], [3, -1], [5, -1], [13, 1]], 4, 2], [[[2, -1], [3, -1], [5, 1], [13, -1]], 4, 3], [[[2, -1], [3, -1], [5, -1], [13, 1]], 4, 3], [[[2, 1], [3, 1], [5, -1], [13, 1]], 4, 2], [[[2, 1], [3, -1], [5, 1], [13, 1]], 5, 2]], 'ALdims': [3, 3, 4, 2, 5, 4, 4, 6, 4, 2, 3, 3, 4, 4, 4, 5], 'Nk2': 18720, 'analytic_conductor': 37.36998814595922, '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': [4680, 1, [3511, 2341, 2081, 937, 1081], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 977, 'dim': 60, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 19], 'hecke_orbit_code': 33559112, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3], 'label': '4680.2.a', 'level': 4680, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 1040, 'mf_new_dim': 60, 'num_forms': 38, 'plus_dim': 27, 'prim_orbit_index': 1, 'relative_dim': 60, 'sturm_bound': 2016, 'trace_bound': 19, 'trace_display': [0, 0, 2, 0], 'traces': [60, 0, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, -2, 0, 0, 0, -16, 0, -12, 0, 0, 0, 0, 0, 60, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, -16, 0, -12, 0, 0, 0, 0, 0, 60, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 16, 0, 0, 0, 4, 0, -8, 0, 0, 0, 16, 0, 36, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 48728241
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 135107988854673992, 'source_is_minimal': False, 'source_label': '4680.2.a.be.1.1', 'source_level': 4680, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 135107988854673992, 'target_is_minimal': False, 'target_label': '4680.2.a.be.1.1', 'target_level': 4680, 'twist_class_label': '520.2.a.d.1.2', 'twist_class_level': 520, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48728242
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 135107988854673992, 'source_is_minimal': False, 'source_label': '4680.2.a.be.1.1', 'source_level': 4680, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798915666440, 'target_is_minimal': True, 'target_label': '520.2.a.d.1.2', 'target_level': 520, 'twist_class_label': '520.2.a.d.1.2', 'twist_class_level': 520, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48728243
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 135107988854673992, 'source_is_minimal': False, 'source_label': '4680.2.a.be.1.1', 'source_level': 4680, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 306244774694757520, 'target_is_minimal': False, 'target_label': '9360.2.a.cq.1.2', 'target_level': 9360, 'twist_class_label': '520.2.a.d.1.2', 'twist_class_level': 520, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48728244
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 135107988854673992, 'source_is_minimal': False, 'source_label': '4680.2.a.be.1.1', 'source_level': 4680, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562001424, 'target_is_minimal': False, 'target_label': '1040.2.a.m.1.1', 'target_level': 1040, 'twist_class_label': '520.2.a.d.1.2', 'twist_class_level': 520, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48728245
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 135107988854673992, 'source_is_minimal': False, 'source_label': '4680.2.a.be.1.1', 'source_level': 4680, 'target_conrey_index': 1249, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539802093062696, 'target_is_minimal': False, 'target_label': '2600.2.d.l.1249.2', 'target_level': 2600, 'twist_class_label': '520.2.a.d.1.2', 'twist_class_level': 520, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48728246
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 135107988854673992, 'source_is_minimal': False, 'source_label': '4680.2.a.be.1.1', 'source_level': 4680, 'target_conrey_index': 1249, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 49539802093062696, 'target_is_minimal': False, 'target_label': '2600.2.d.l.1249.3', 'target_level': 2600, 'twist_class_label': '520.2.a.d.1.2', 'twist_class_level': 520, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 48728247
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 135107988854673992, 'source_is_minimal': False, 'source_label': '4680.2.a.be.1.1', 'source_level': 4680, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580966952, 'target_is_minimal': False, 'target_label': '2600.2.a.u.1.1', 'target_level': 2600, 'twist_class_label': '520.2.a.d.1.2', 'twist_class_level': 520, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 48728248
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 135107988854673992, 'source_is_minimal': False, 'source_label': '4680.2.a.be.1.1', 'source_level': 4680, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 166633186246266944, 'target_is_minimal': False, 'target_label': '4160.2.a.bl.1.1', 'target_level': 4160, 'twist_class_label': '520.2.a.d.1.2', 'twist_class_level': 520, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48728249
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 135107988854673992, 'source_is_minimal': False, 'source_label': '4680.2.a.be.1.1', 'source_level': 4680, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94575592208339008, 'target_is_minimal': False, 'target_label': '4160.2.a.v.1.2', 'target_level': 4160, 'twist_class_label': '520.2.a.d.1.2', 'twist_class_level': 520, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48728250
{'conductor': 39, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 135107988854673992, 'source_is_minimal': False, 'source_label': '4680.2.a.be.1.1', 'source_level': 4680, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67553994444118632, 'target_is_minimal': False, 'target_label': '6760.2.a.p.1.2', 'target_level': 6760, 'twist_class_label': '520.2.a.d.1.2', 'twist_class_level': 520, 'twisting_char_label': '39.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 48728251
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 135107988854673992, 'source_is_minimal': False, 'source_label': '4680.2.a.be.1.1', 'source_level': 4680, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 180143985128379472, 'target_is_minimal': False, 'target_label': '5200.2.a.bo.1.2', 'target_level': 5200, 'twist_class_label': '520.2.a.d.1.2', 'twist_class_level': 520, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3673350
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 135107988854673992, 'p': 2}
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id: 3673351
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 135107988854673992, 'p': 3}
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id: 3673352
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 135107988854673992, 'p': 5}
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id: 3673353
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 135107988854673992, 'p': 7}
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id: 3673354
{'charpoly_factorization': [[[6, -6, 1], 1]], 'hecke_orbit_code': 135107988854673992, 'p': 11}
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id: 3673355
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 135107988854673992, 'p': 13}
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id: 3673356
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 135107988854673992, 'p': 17}
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id: 3673357
{'charpoly_factorization': [[[22, 10, 1], 1]], 'hecke_orbit_code': 135107988854673992, 'p': 19}
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id: 3673358
{'charpoly_factorization': [[[-18, -6, 1], 1]], 'hecke_orbit_code': 135107988854673992, 'p': 23}
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id: 3673359
{'charpoly_factorization': [[[-8, -4, 1], 1]], 'hecke_orbit_code': 135107988854673992, 'p': 29}
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id: 3673360
{'charpoly_factorization': [[[6, 6, 1], 1]], 'hecke_orbit_code': 135107988854673992, 'p': 31}
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id: 3673361
{'charpoly_factorization': [[[-32, -8, 1], 1]], 'hecke_orbit_code': 135107988854673992, 'p': 37}
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id: 3673362
{'charpoly_factorization': [[[52, -16, 1], 1]], 'hecke_orbit_code': 135107988854673992, 'p': 41}
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id: 3673363
{'charpoly_factorization': [[[-2, 2, 1], 1]], 'hecke_orbit_code': 135107988854673992, 'p': 43}
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id: 3673364
{'charpoly_factorization': [[[52, -16, 1], 1]], 'hecke_orbit_code': 135107988854673992, 'p': 47}
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id: 3673365
{'charpoly_factorization': [[[52, 16, 1], 1]], 'hecke_orbit_code': 135107988854673992, 'p': 53}
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id: 3673366
{'charpoly_factorization': [[[22, -14, 1], 1]], 'hecke_orbit_code': 135107988854673992, 'p': 59}
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id: 3673367
{'charpoly_factorization': [[[-8, 4, 1], 1]], 'hecke_orbit_code': 135107988854673992, 'p': 61}
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id: 3673368
{'charpoly_factorization': [[[-188, -4, 1], 1]], 'hecke_orbit_code': 135107988854673992, 'p': 67}
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id: 3673369
{'charpoly_factorization': [[[-66, 6, 1], 1]], 'hecke_orbit_code': 135107988854673992, 'p': 71}
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id: 3673370
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 135107988854673992, 'p': 73}
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id: 3673371
{'charpoly_factorization': [[[24, -12, 1], 1]], 'hecke_orbit_code': 135107988854673992, 'p': 79}
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id: 3673372
{'charpoly_factorization': [[[52, 16, 1], 1]], 'hecke_orbit_code': 135107988854673992, 'p': 83}
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id: 3673373
{'charpoly_factorization': [[[-44, 4, 1], 1]], 'hecke_orbit_code': 135107988854673992, 'p': 89}
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id: 3673374
{'charpoly_factorization': [[[-188, -4, 1], 1]], 'hecke_orbit_code': 135107988854673992, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 31, 'label': '4680.2.a.be', 'level': 4680, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 265592000
{'hecke_orbit_code': 135107988854673992, 'n': 1, 'trace_an': 2}
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id: 265592001
{'hecke_orbit_code': 135107988854673992, 'n': 2, 'trace_an': 0}
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id: 265592002
{'hecke_orbit_code': 135107988854673992, 'n': 3, 'trace_an': 0}
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id: 265592003
{'hecke_orbit_code': 135107988854673992, 'n': 4, 'trace_an': 0}
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id: 265592004
{'hecke_orbit_code': 135107988854673992, 'n': 5, 'trace_an': 2}
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id: 265592005
{'hecke_orbit_code': 135107988854673992, 'n': 6, 'trace_an': 0}
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id: 265592006
{'hecke_orbit_code': 135107988854673992, 'n': 7, 'trace_an': 0}
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id: 265592007
{'hecke_orbit_code': 135107988854673992, 'n': 8, 'trace_an': 0}
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id: 265592008
{'hecke_orbit_code': 135107988854673992, 'n': 9, 'trace_an': 0}
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id: 265592009
{'hecke_orbit_code': 135107988854673992, 'n': 10, 'trace_an': 0}
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id: 265592010
{'hecke_orbit_code': 135107988854673992, 'n': 11, 'trace_an': 6}
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id: 265592011
{'hecke_orbit_code': 135107988854673992, 'n': 12, 'trace_an': 0}
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id: 265592012
{'hecke_orbit_code': 135107988854673992, 'n': 13, 'trace_an': 2}
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id: 265592013
{'hecke_orbit_code': 135107988854673992, 'n': 14, 'trace_an': 0}
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id: 265592014
{'hecke_orbit_code': 135107988854673992, 'n': 15, 'trace_an': 0}
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id: 265592015
{'hecke_orbit_code': 135107988854673992, 'n': 16, 'trace_an': 0}
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id: 265592016
{'hecke_orbit_code': 135107988854673992, 'n': 17, 'trace_an': 0}
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id: 265592017
{'hecke_orbit_code': 135107988854673992, 'n': 18, 'trace_an': 0}
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id: 265592018
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