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{'Nk2': 10584, 'analytic_conductor': 21.12841637483079, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, -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': [2646, 1, [785, 1081], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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': [[5, [0, 1]], [11, [0, 1]], [13, [5, 1]], [17, [-3, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998170409558, 'hecke_ring_generator_nbound': 1, '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': '2646.2.a.f', 'level': 2646, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '378.2.a.d', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}-q^{8}-5q^{13}+q^{16}+3q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/2646/f'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2646.2.a', 'trace_display': [-1, 0, 0, 0], 'trace_hash': 346518381290366600, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.989', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.944', 'prec': 17}, {'__RealLiteral__': 0, 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'char_orbit_index': 1, 'conrey_index': 1, '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': 0.0, 'hecke_orbit': 6, 'hecke_orbit_code': 22517998170409558, 'label': '2646.2.a.f.1.1', 'level': 2646, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1]], 9, 8], [[[2, -1], [3, 1], [7, -1]], 5, 5], [[[2, -1], [3, -1], [7, 1]], 5, 3], [[[2, 1], [3, -1], [7, -1]], 6, 5], [[[2, 1], [3, -1], [7, 1]], 7, 5], [[[2, -1], [3, 1], [7, 1]], 8, 5], [[[2, 1], [3, 1], [7, -1]], 8, 8], [[[2, 1], [3, 1], [7, 1]], 6, 3]], 'ALdims': [6, 8, 7, 6, 8, 5, 5, 9], 'Nk2': 10584, 'analytic_conductor': 21.12841637483079, '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': [2646, 1, [785, 1081], [1, 1]], 'conrey_index': 1, 'cusp_dim': 457, 'dim': 54, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17], 'hecke_orbit_code': 33557078, '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, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'label': '2646.2.a', 'level': 2646, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 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mf_twists_cc • Show schema
Hide schema
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id: 44908487
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170409558, 'source_is_minimal': False, 'source_label': '2646.2.a.f.1.1', 'source_level': 2646, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170409558, 'target_is_minimal': False, 'target_label': '2646.2.a.f.1.1', 'target_level': 2646, 'twist_class_label': '378.2.a.d.1.1', 'twist_class_level': 378, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44908488
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170409558, 'source_is_minimal': False, 'source_label': '2646.2.a.f.1.1', 'source_level': 2646, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391090448982, 'target_is_minimal': False, 'target_label': '2646.2.a.y.1.1', 'target_level': 2646, 'twist_class_label': '378.2.a.d.1.1', 'twist_class_level': 378, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44908489
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170409558, 'source_is_minimal': False, 'source_label': '2646.2.a.f.1.1', 'source_level': 2646, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666298, 'target_is_minimal': True, 'target_label': '378.2.a.d.1.1', 'target_level': 378, 'twist_class_label': '378.2.a.d.1.1', 'twist_class_level': 378, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 44908490
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170409558, 'source_is_minimal': False, 'source_label': '2646.2.a.f.1.1', 'source_level': 2646, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543036794, 'target_is_minimal': True, 'target_label': '378.2.a.e.1.1', 'target_level': 378, 'twist_class_label': '378.2.a.d.1.1', 'twist_class_level': 378, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 44908491
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170409558, 'source_is_minimal': False, 'source_label': '2646.2.a.f.1.1', 'source_level': 2646, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816744400, 'target_is_minimal': False, 'target_label': '3024.2.a.o.1.1', 'target_level': 3024, 'twist_class_label': '378.2.a.d.1.1', 'twist_class_level': 378, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 44908492
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170409558, 'source_is_minimal': False, 'source_label': '2646.2.a.f.1.1', 'source_level': 2646, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 283726776557905130, 'target_is_minimal': False, 'target_label': '9450.2.a.cl.1.1', 'target_level': 9450, 'twist_class_label': '378.2.a.d.1.1', 'twist_class_level': 378, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 44908493
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170409558, 'source_is_minimal': False, 'source_label': '2646.2.a.f.1.1', 'source_level': 2646, 'target_conrey_index': 379, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036339904644206, 'target_is_minimal': False, 'target_label': '1134.2.f.k.379.1', 'target_level': 1134, 'twist_class_label': '378.2.a.d.1.1', 'twist_class_level': 378, 'twisting_char_label': '63.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 44908494
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170409558, 'source_is_minimal': False, 'source_label': '2646.2.a.f.1.1', 'source_level': 2646, 'target_conrey_index': 757, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014742140421230, 'target_is_minimal': False, 'target_label': '1134.2.f.e.757.1', 'target_level': 1134, 'twist_class_label': '378.2.a.d.1.1', 'twist_class_level': 378, 'twisting_char_label': '63.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 44908495
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170409558, 'source_is_minimal': False, 'source_label': '2646.2.a.f.1.1', 'source_level': 2646, 'target_conrey_index': 757, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036339904644206, 'target_is_minimal': False, 'target_label': '1134.2.f.k.757.1', 'target_level': 1134, 'twist_class_label': '378.2.a.d.1.1', 'twist_class_level': 378, 'twisting_char_label': '63.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 44908496
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170409558, 'source_is_minimal': False, 'source_label': '2646.2.a.f.1.1', 'source_level': 2646, 'target_conrey_index': 379, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014742140421230, 'target_is_minimal': False, 'target_label': '1134.2.f.e.379.1', 'target_level': 1134, 'twist_class_label': '378.2.a.d.1.1', 'twist_class_level': 378, 'twisting_char_label': '63.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 44908497
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170409558, 'source_is_minimal': False, 'source_label': '2646.2.a.f.1.1', 'source_level': 2646, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994444114896, 'target_is_minimal': False, 'target_label': '3024.2.a.p.1.1', 'target_level': 3024, 'twist_class_label': '378.2.a.d.1.1', 'twist_class_level': 378, 'twisting_char_label': '84.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 44908498
{'conductor': 105, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170409558, 'source_is_minimal': False, 'source_label': '2646.2.a.f.1.1', 'source_level': 2646, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934639338, 'target_is_minimal': False, 'target_label': '9450.2.a.l.1.1', 'target_level': 9450, 'twist_class_label': '378.2.a.d.1.1', 'twist_class_level': 378, 'twisting_char_label': '105.104', 'twisting_conrey_index': 104, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2773400
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 22517998170409558, 'p': 2}
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id: 2773401
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170409558, 'p': 3}
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id: 2773402
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170409558, 'p': 5}
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id: 2773403
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170409558, 'p': 7}
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id: 2773404
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170409558, 'p': 11}
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id: 2773405
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 22517998170409558, 'p': 13}
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id: 2773406
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 22517998170409558, 'p': 17}
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id: 2773407
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 22517998170409558, 'p': 19}
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id: 2773408
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 22517998170409558, 'p': 23}
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id: 2773409
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 22517998170409558, 'p': 29}
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id: 2773410
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 22517998170409558, 'p': 31}
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id: 2773411
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 22517998170409558, 'p': 37}
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id: 2773412
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 22517998170409558, 'p': 41}
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id: 2773413
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 22517998170409558, 'p': 43}
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id: 2773414
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 22517998170409558, 'p': 47}
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id: 2773415
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 22517998170409558, 'p': 53}
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id: 2773416
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 22517998170409558, 'p': 59}
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id: 2773417
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 22517998170409558, 'p': 61}
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id: 2773418
{'charpoly_factorization': [[[13, 1], 1]], 'hecke_orbit_code': 22517998170409558, 'p': 67}
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id: 2773419
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 22517998170409558, 'p': 71}
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id: 2773420
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 22517998170409558, 'p': 73}
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id: 2773421
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 22517998170409558, 'p': 79}
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id: 2773422
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 22517998170409558, 'p': 83}
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id: 2773423
{'charpoly_factorization': [[[-15, 1], 1]], 'hecke_orbit_code': 22517998170409558, 'p': 89}
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id: 2773424
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 22517998170409558, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 6, 'label': '2646.2.a.f', 'level': 2646, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 163444000
{'hecke_orbit_code': 22517998170409558, 'n': 1, 'trace_an': 1}
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id: 163444001
{'hecke_orbit_code': 22517998170409558, 'n': 2, 'trace_an': -1}
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id: 163444002
{'hecke_orbit_code': 22517998170409558, 'n': 3, 'trace_an': 0}
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id: 163444003
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id: 163444986
{'hecke_orbit_code': 22517998170409558, 'n': 987, 'trace_an': 0}
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id: 163444987
{'hecke_orbit_code': 22517998170409558, 'n': 988, 'trace_an': 10}
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id: 163444988
{'hecke_orbit_code': 22517998170409558, 'n': 989, 'trace_an': -9}
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id: 163444989
{'hecke_orbit_code': 22517998170409558, 'n': 990, 'trace_an': 0}
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id: 163444990
{'hecke_orbit_code': 22517998170409558, 'n': 991, 'trace_an': 2}
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id: 163444991
{'hecke_orbit_code': 22517998170409558, 'n': 992, 'trace_an': 5}
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id: 163444992
{'hecke_orbit_code': 22517998170409558, 'n': 993, 'trace_an': 0}
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id: 163444993
{'hecke_orbit_code': 22517998170409558, 'n': 994, 'trace_an': 0}
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id: 163444994
{'hecke_orbit_code': 22517998170409558, 'n': 995, 'trace_an': 0}
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id: 163444995
{'hecke_orbit_code': 22517998170409558, 'n': 996, 'trace_an': 0}
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id: 163444996
{'hecke_orbit_code': 22517998170409558, 'n': 997, 'trace_an': 19}
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id: 163444997
{'hecke_orbit_code': 22517998170409558, 'n': 998, 'trace_an': 4}
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id: 163444998
{'hecke_orbit_code': 22517998170409558, 'n': 999, 'trace_an': 0}
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id: 163444999
{'hecke_orbit_code': 22517998170409558, 'n': 1000, 'trace_an': 0}