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mf_newforms • Show schema
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{'Nk2': 18432, 'analytic_conductor': 36.795065251406, 'analytic_rank': 1, 'analytic_rank_proved': True, 'char_conductor': 12, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [4608, 2, [3583, 2053, 4097], [1, 2, 1]], 'cm_discs': [], 'conrey_index': 4607, 'conrey_indexes': [4607], 'dim': 2, 'field_disc': -8, 'field_disc_factorization': [[-1, 1], [2, 3]], 'field_poly': [2, 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': [[5, [8, 0, 1]], [7, [2, 0, 1]], [11, [0, 1]], [13, [2, 1]], [23, [6, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007336727253504, 'hecke_ring_generator_nbound': 7, '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, 12, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4608.2.c.c', 'level': 4608, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '4608.2.c.c', 'nf_label': '2.0.8.1', 'prim_orbit_index': 2, 'qexp_display': 'q+2\\beta q^{5}+\\beta q^{7}-2q^{13}-\\beta q^{17}-2\\beta q^{19}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4608.2.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 547940225910335796, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.044', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.049', 'prec': 17}, {'__RealLiteral__': 0, 'data': '16.711', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3.791', 'prec': 17}, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0], [0, 0], [0, 0], [0, 0], [0, 2], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-2, 0], [0, 0], [0, 0], [0, 0], [0, -1], [0, 0], [0, -2], [0, 0], [0, 0], [0, 0], [-6, 0], [0, 0], [-3, 0], [0, 0], [0, 0], [0, 0], [0, -4], [0, 0], [0, 7], [0, 0], [0, 0], [0, 0], [-4, 0], [0, 0], [2, 0], [0, 0], [0, 0], [0, 0], [0, 3], [0, 0], [0, -6], [0, 0], [0, 0], [0, 0], [-10, 0], [0, 0], [5, 0], [0, 0], [0, 0], [0, 0], [0, 4], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-12, 0], [0, 0], [-10, 0], [0, 0], [0, 0], [0, 0], [0, -4], [0, 0], [0, -4], [0, 0], [0, 0], [0, 0], [-2, 0], [0, 0], [-10, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -9], [0, 0], [0, 0], [0, 0], [-4, 0], [0, 0], [4, 0], [0, 0], [0, 0], [0, 0], [0, 7], [0, 0], [0, -2], [0, 0], [0, 0], [0, 0], [8, 0], [0, 0], [12, 0], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [0, 0], [0, 2], [0, 1], [0, 0], [-2, 0], [0, -1], [0, -2], [-6, 0], [0, -4], [0, 7], [2, 0], [0, 3], [0, -6], [-10, 0], [0, 4], [-12, 0], [-10, 0], [0, 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'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '4608.2.c.c', 'level': 4608, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 18432, 'analytic_conductor': 36.795065251406, 'char_conductor': 12, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [4608, 2, [3583, 2053, 4097], [1, 2, 1]], 'conrey_index': 4607, 'cusp_dim': 704, 'dim': 64, 'eis_dim': 128, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 13, 23], 'hecke_orbit_code': 137472512512, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], 'label': '4608.2.c', 'level': 4608, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 832, 'mf_new_dim': 64, 'num_forms': 18, 'prim_orbit_index': 2, 'relative_dim': 64, 'sturm_bound': 1536, 'trace_bound': 23, 'trace_display': [0, 0, 0, 0], 'traces': [64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -640, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1213583
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '4608.2.c.c', 'source_level': 4608, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '4608.2.c.c', 'target_level': 4608, 'twist_class_label': '4608.2.c.c', 'twist_class_level': 4608, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1213584
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '4608.2.c.c', 'source_level': 4608, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '4608.2.c.c', 'target_level': 4608, 'twist_class_label': '4608.2.c.c', 'twist_class_level': 4608, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1213585
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '4608.2.c.c', 'source_level': 4608, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '4608.2.c.d', 'target_level': 4608, 'twist_class_label': '4608.2.c.c', 'twist_class_level': 4608, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1213586
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '4608.2.c.c', 'source_level': 4608, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '4608.2.c.d', 'target_level': 4608, 'twist_class_label': '4608.2.c.c', 'twist_class_level': 4608, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1213587
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '4608.2.c.c', 'source_level': 4608, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '4608.2.c.e', 'target_level': 4608, 'twist_class_label': '4608.2.c.c', 'twist_class_level': 4608, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1213588
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '4608.2.c.c', 'source_level': 4608, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '4608.2.c.e', 'target_level': 4608, 'twist_class_label': '4608.2.c.c', 'twist_class_level': 4608, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1213589
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '4608.2.c.c', 'source_level': 4608, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '4608.2.c.f', 'target_level': 4608, 'twist_class_label': '4608.2.c.c', 'twist_class_level': 4608, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1213590
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '4608.2.c.c', 'source_level': 4608, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '4608.2.c.f', 'target_level': 4608, 'twist_class_label': '4608.2.c.c', 'twist_class_level': 4608, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1213591
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '4608.2.c.c', 'source_level': 4608, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '4608.2.f.j', 'target_level': 4608, 'twist_class_label': '4608.2.c.c', 'twist_class_level': 4608, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1213592
{'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '4608.2.c.c', 'source_level': 4608, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '4608.2.f.j', 'target_level': 4608, 'twist_class_label': '4608.2.c.c', 'twist_class_level': 4608, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1213593
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '4608.2.c.c', 'source_level': 4608, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '4608.2.f.l', 'target_level': 4608, 'twist_class_label': '4608.2.c.c', 'twist_class_level': 4608, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1213594
{'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '4608.2.c.c', 'source_level': 4608, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '4608.2.f.l', 'target_level': 4608, 'twist_class_label': '4608.2.c.c', 'twist_class_level': 4608, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3649325
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007336727253504, 'p': 2}
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id: 3649326
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007336727253504, 'p': 3}
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id: 3649327
{'charpoly_factorization': [[[8, 0, 1], 1]], 'hecke_orbit_code': 9007336727253504, 'p': 5}
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id: 3649328
{'charpoly_factorization': [[[2, 0, 1], 1]], 'hecke_orbit_code': 9007336727253504, 'p': 7}
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id: 3649329
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007336727253504, 'p': 11}
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id: 3649330
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 9007336727253504, 'p': 13}
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id: 3649331
{'charpoly_factorization': [[[2, 0, 1], 1]], 'hecke_orbit_code': 9007336727253504, 'p': 17}
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id: 3649332
{'charpoly_factorization': [[[8, 0, 1], 1]], 'hecke_orbit_code': 9007336727253504, 'p': 19}
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id: 3649333
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 9007336727253504, 'p': 23}
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id: 3649334
{'charpoly_factorization': [[[32, 0, 1], 1]], 'hecke_orbit_code': 9007336727253504, 'p': 29}
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id: 3649335
{'charpoly_factorization': [[[98, 0, 1], 1]], 'hecke_orbit_code': 9007336727253504, 'p': 31}
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id: 3649336
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 9007336727253504, 'p': 37}
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id: 3649337
{'charpoly_factorization': [[[18, 0, 1], 1]], 'hecke_orbit_code': 9007336727253504, 'p': 41}
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id: 3649338
{'charpoly_factorization': [[[72, 0, 1], 1]], 'hecke_orbit_code': 9007336727253504, 'p': 43}
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id: 3649339
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 9007336727253504, 'p': 47}
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id: 3649340
{'charpoly_factorization': [[[32, 0, 1], 1]], 'hecke_orbit_code': 9007336727253504, 'p': 53}
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id: 3649341
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 9007336727253504, 'p': 59}
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id: 3649342
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 9007336727253504, 'p': 61}
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id: 3649343
{'charpoly_factorization': [[[32, 0, 1], 1]], 'hecke_orbit_code': 9007336727253504, 'p': 67}
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id: 3649344
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 9007336727253504, 'p': 71}
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id: 3649345
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 9007336727253504, 'p': 73}
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id: 3649346
{'charpoly_factorization': [[[162, 0, 1], 1]], 'hecke_orbit_code': 9007336727253504, 'p': 79}
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id: 3649347
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 9007336727253504, 'p': 83}
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id: 3649348
{'charpoly_factorization': [[[98, 0, 1], 1]], 'hecke_orbit_code': 9007336727253504, 'p': 89}
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id: 3649349
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 9007336727253504, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 3, 'label': '4608.2.c.c', 'level': 4608, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 116120000
{'hecke_orbit_code': 9007336727253504, 'n': 1, 'trace_an': 2}
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id: 116120001
{'hecke_orbit_code': 9007336727253504, 'n': 2, 'trace_an': 0}
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id: 116120002
{'hecke_orbit_code': 9007336727253504, 'n': 3, 'trace_an': 0}
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id: 116120003
{'hecke_orbit_code': 9007336727253504, 'n': 4, 'trace_an': 0}
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id: 116120004
{'hecke_orbit_code': 9007336727253504, 'n': 5, 'trace_an': 0}
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id: 116120005
{'hecke_orbit_code': 9007336727253504, 'n': 6, 'trace_an': 0}
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id: 116120006
{'hecke_orbit_code': 9007336727253504, 'n': 7, 'trace_an': 0}
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id: 116120007
{'hecke_orbit_code': 9007336727253504, 'n': 8, 'trace_an': 0}
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id: 116120008
{'hecke_orbit_code': 9007336727253504, 'n': 9, 'trace_an': 0}
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id: 116120009
{'hecke_orbit_code': 9007336727253504, 'n': 10, 'trace_an': 0}
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id: 116120010
{'hecke_orbit_code': 9007336727253504, 'n': 11, 'trace_an': 0}
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id: 116120011
{'hecke_orbit_code': 9007336727253504, 'n': 12, 'trace_an': 0}
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id: 116120012
{'hecke_orbit_code': 9007336727253504, 'n': 13, 'trace_an': -4}
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id: 116120013
{'hecke_orbit_code': 9007336727253504, 'n': 14, 'trace_an': 0}
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id: 116120014
{'hecke_orbit_code': 9007336727253504, 'n': 15, 'trace_an': 0}
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id: 116120015
{'hecke_orbit_code': 9007336727253504, 'n': 16, 'trace_an': 0}
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id: 116120016
{'hecke_orbit_code': 9007336727253504, 'n': 17, 'trace_an': 0}
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id: 116120017
{'hecke_orbit_code': 9007336727253504, 'n': 18, 'trace_an': 0}
-
id: 116120018
{'hecke_orbit_code': 9007336727253504, 'n': 19, 'trace_an': 0}
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id: 116120019
{'hecke_orbit_code': 9007336727253504, 'n': 20, 'trace_an': 0}
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id: 116120020
{'hecke_orbit_code': 9007336727253504, 'n': 21, 'trace_an': 0}
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id: 116120021
{'hecke_orbit_code': 9007336727253504, 'n': 22, 'trace_an': 0}
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id: 116120022
{'hecke_orbit_code': 9007336727253504, 'n': 23, 'trace_an': -12}
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id: 116120023
{'hecke_orbit_code': 9007336727253504, 'n': 24, 'trace_an': 0}
-
id: 116120024
{'hecke_orbit_code': 9007336727253504, 'n': 25, 'trace_an': -6}
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id: 116120025
{'hecke_orbit_code': 9007336727253504, 'n': 26, 'trace_an': 0}
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id: 116120026
{'hecke_orbit_code': 9007336727253504, 'n': 27, 'trace_an': 0}
-
id: 116120027
{'hecke_orbit_code': 9007336727253504, 'n': 28, 'trace_an': 0}
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id: 116120028
{'hecke_orbit_code': 9007336727253504, 'n': 29, 'trace_an': 0}
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id: 116120029
{'hecke_orbit_code': 9007336727253504, 'n': 30, 'trace_an': 0}
-
id: 116120030
{'hecke_orbit_code': 9007336727253504, 'n': 31, 'trace_an': 0}
-
id: 116120031
{'hecke_orbit_code': 9007336727253504, 'n': 32, 'trace_an': 0}
-
id: 116120032
{'hecke_orbit_code': 9007336727253504, 'n': 33, 'trace_an': 0}
-
id: 116120033
{'hecke_orbit_code': 9007336727253504, 'n': 34, 'trace_an': 0}
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id: 116120034
{'hecke_orbit_code': 9007336727253504, 'n': 35, 'trace_an': -8}
-
id: 116120035
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