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{'Nk2': 30400, 'analytic_conductor': 60.686305536173094, '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': [7600, 1, [4751, 5701, 5777, 401], [1, 1, 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': [[3, [-1, 1]], [7, [-3, 1]], [11, [2, 1]], [13, [1, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050394816748976, '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': '7600.2.a.o', 'level': 7600, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 19], 'level_radical': 190, 'minimal_twist': '152.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+3q^{7}-2q^{9}-2q^{11}-q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/7600/o'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7600.2.a', 'trace_display': [0, 1, 0, 3], 'trace_hash': 362570217374340327, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.965', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.907', 'prec': 17}, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1], [19, -1]], 22, 10], [[[2, -1], [5, -1], [19, -1]], 23, 7], [[[2, 1], [5, -1], [19, -1]], 19, 8], [[[2, 1], [5, -1], [19, 1]], 25, 6], [[[2, 1], [5, 1], [19, 1]], 19, 7], [[[2, -1], [5, -1], [19, 1]], 23, 8], [[[2, -1], [5, 1], [19, 1]], 20, 10], [[[2, -1], [5, 1], [19, -1]], 20, 10]], 'ALdims': [19, 22, 25, 19, 20, 20, 23, 23], 'Nk2': 30400, 'analytic_conductor': 60.686305536173094, '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': [7600, 1, [4751, 5701, 5777, 401], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1165, 'dim': 171, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11, 13], 'hecke_orbit_code': 33562032, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6], 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mf_twists_cc • Show schema
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id: 47810285
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816748976, 'source_is_minimal': False, 'source_label': '7600.2.a.o.1.1', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816748976, 'target_is_minimal': False, 'target_label': '7600.2.a.o.1.1', 'target_level': 7600, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47810286
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816748976, 'source_is_minimal': False, 'source_label': '7600.2.a.o.1.1', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915669720, 'target_is_minimal': False, 'target_label': '3800.2.a.d.1.1', 'target_level': 3800, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47810287
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816748976, 'source_is_minimal': False, 'source_label': '7600.2.a.o.1.1', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925232, 'target_is_minimal': False, 'target_label': '304.2.a.b.1.1', 'target_level': 304, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47810288
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816748976, 'source_is_minimal': False, 'source_label': '7600.2.a.o.1.1', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307262128, 'target_is_minimal': False, 'target_label': '2736.2.a.k.1.1', 'target_level': 2736, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 47810289
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816748976, 'source_is_minimal': False, 'source_label': '7600.2.a.o.1.1', 'source_level': 7600, 'target_conrey_index': 3649, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518204328840920, 'target_is_minimal': False, 'target_label': '3800.2.d.f.3649.1', 'target_level': 3800, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47810290
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816748976, 'source_is_minimal': False, 'source_label': '7600.2.a.o.1.1', 'source_level': 7600, 'target_conrey_index': 3649, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518204328840920, 'target_is_minimal': False, 'target_label': '3800.2.d.f.3649.2', 'target_level': 3800, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47810291
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816748976, 'source_is_minimal': False, 'source_label': '7600.2.a.o.1.1', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925080, 'target_is_minimal': True, 'target_label': '152.2.a.b.1.1', 'target_level': 152, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 47810292
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816748976, 'source_is_minimal': False, 'source_label': '7600.2.a.o.1.1', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170408128, 'target_is_minimal': False, 'target_label': '1216.2.a.f.1.1', 'target_level': 1216, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 47810293
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816748976, 'source_is_minimal': False, 'source_label': '7600.2.a.o.1.1', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934631104, 'target_is_minimal': False, 'target_label': '1216.2.a.l.1.1', 'target_level': 1216, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 47810294
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816748976, 'source_is_minimal': False, 'source_label': '7600.2.a.o.1.1', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797778776, 'target_is_minimal': False, 'target_label': '1368.2.a.g.1.1', 'target_level': 1368, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 47810295
{'conductor': 95, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816748976, 'source_is_minimal': False, 'source_label': '7600.2.a.o.1.1', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934635664, 'target_is_minimal': False, 'target_label': '5776.2.a.l.1.1', 'target_level': 5776, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '95.94', 'twisting_conrey_index': 94, 'weight': 2}
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id: 47810296
{'conductor': 140, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816748976, 'source_is_minimal': False, 'source_label': '7600.2.a.o.1.1', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797784856, 'target_is_minimal': False, 'target_label': '7448.2.a.g.1.1', 'target_level': 7448, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '140.139', 'twisting_conrey_index': 139, 'weight': 2}
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id: 47810297
{'conductor': 380, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394816748976, 'source_is_minimal': False, 'source_label': '7600.2.a.o.1.1', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660927816, 'target_is_minimal': False, 'target_label': '2888.2.a.b.1.1', 'target_level': 2888, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '380.379', 'twisting_conrey_index': 379, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4520525
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 63050394816748976, 'p': 2}
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id: 4520526
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 63050394816748976, 'p': 3}
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id: 4520527
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 63050394816748976, 'p': 5}
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id: 4520528
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 63050394816748976, 'p': 7}
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id: 4520529
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 63050394816748976, 'p': 11}
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id: 4520530
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 63050394816748976, 'p': 13}
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id: 4520531
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 63050394816748976, 'p': 17}
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id: 4520532
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 63050394816748976, 'p': 19}
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id: 4520533
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 63050394816748976, 'p': 23}
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id: 4520534
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 63050394816748976, 'p': 29}
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id: 4520535
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 63050394816748976, 'p': 31}
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id: 4520536
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 63050394816748976, 'p': 37}
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id: 4520537
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 63050394816748976, 'p': 41}
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id: 4520538
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 63050394816748976, 'p': 43}
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id: 4520539
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 63050394816748976, 'p': 47}
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id: 4520540
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 63050394816748976, 'p': 53}
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id: 4520541
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 63050394816748976, 'p': 59}
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id: 4520542
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 63050394816748976, 'p': 61}
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id: 4520543
{'charpoly_factorization': [[[-13, 1], 1]], 'hecke_orbit_code': 63050394816748976, 'p': 67}
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id: 4520544
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 63050394816748976, 'p': 71}
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id: 4520545
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 63050394816748976, 'p': 73}
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id: 4520546
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 63050394816748976, 'p': 79}
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id: 4520547
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 63050394816748976, 'p': 83}
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id: 4520548
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 63050394816748976, 'p': 89}
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id: 4520549
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 63050394816748976, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 15, 'label': '7600.2.a.o', 'level': 7600, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 232064000
{'hecke_orbit_code': 63050394816748976, 'n': 1, 'trace_an': 1}
-
id: 232064001
{'hecke_orbit_code': 63050394816748976, 'n': 2, 'trace_an': 0}
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id: 232064002
{'hecke_orbit_code': 63050394816748976, 'n': 3, 'trace_an': 1}
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id: 232064003
{'hecke_orbit_code': 63050394816748976, 'n': 4, 'trace_an': 0}
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id: 232064004
{'hecke_orbit_code': 63050394816748976, 'n': 5, 'trace_an': 0}
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id: 232064005
{'hecke_orbit_code': 63050394816748976, 'n': 6, 'trace_an': 0}
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id: 232064006
{'hecke_orbit_code': 63050394816748976, 'n': 7, 'trace_an': 3}
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id: 232064007
{'hecke_orbit_code': 63050394816748976, 'n': 8, 'trace_an': 0}
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id: 232064008
{'hecke_orbit_code': 63050394816748976, 'n': 9, 'trace_an': -2}
-
id: 232064009
{'hecke_orbit_code': 63050394816748976, 'n': 10, 'trace_an': 0}
-
id: 232064010
{'hecke_orbit_code': 63050394816748976, 'n': 11, 'trace_an': -2}
-
id: 232064011
{'hecke_orbit_code': 63050394816748976, 'n': 12, 'trace_an': 0}
-
id: 232064012
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{'hecke_orbit_code': 63050394816748976, 'n': 996, 'trace_an': 0}
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id: 232064996
{'hecke_orbit_code': 63050394816748976, 'n': 997, 'trace_an': 16}
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id: 232064997
{'hecke_orbit_code': 63050394816748976, 'n': 998, 'trace_an': 0}
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id: 232064998
{'hecke_orbit_code': 63050394816748976, 'n': 999, 'trace_an': 10}
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id: 232064999
{'hecke_orbit_code': 63050394816748976, 'n': 1000, 'trace_an': 0}