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mf_newforms • Show schema
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{'Nk2': 36864, 'analytic_conductor': 73.590130502812, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 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': [9216, 1, [8191, 2053, 4097], [1, 1, 1]], 'cm_discs': [-3], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 2304, 'field_disc_factorization': [[2, 8], [3, 2]], 'field_poly': [1, 0, -4, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 24, 'fricke_eigenval': -1, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [0, 1]], [7, [4, 0, -28, 0, 1]], [11, [0, 1]], [13, [484, 0, -52, 0, 1]], [17, [0, 1]], [19, [-12, 0, 1]], [67, [-16, 1]]], 'hecke_orbit': 33, 'hecke_orbit_code': 144115188109419520, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3], [1, 1, 8, 4, -1, 2, 0], [1, 1, 24, 6, 1, 2, 0]], 'is_cm': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': False, 'label': '9216.2.a.bg', 'level': 9216, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '2304.2.k.g', 'nf_label': '4.4.2304.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(2\\beta _{1}+\\beta _{2})q^{7}+(\\beta _{1}+2\\beta _{2})q^{13}+\\beta _{3}q^{19}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.1.d1', 'self_twist_discs': [-3], 'self_twist_type': 1, 'space_label': '9216.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1640320133187950800, 'trace_moments': [{'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
Hide schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1]], 44, 15], [[[2, 1], [3, -1]], 48, 15], [[[2, -1], [3, 1]], 36, 10], [[[2, 1], [3, 1]], 28, 6]], 'ALdims': [28, 48, 36, 44], 'Nk2': 36864, 'analytic_conductor': 73.590130502812, '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': [9216, 1, [8191, 2053, 4097], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1441, 'dim': 156, 'eis_dim': 191, 'eis_new_dim': 8, 'hecke_cutter_primes': [5, 7, 11, 13, 17, 19, 67], 'hecke_orbit_code': 33563648, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8], 'label': '9216.2.a', 'level': 9216, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 1632, 'mf_new_dim': 164, 'num_forms': 46, 'plus_dim': 72, 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mf_twists_nf • Show schema
Hide schema
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id: 1422989
{'conductor': 32, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '9216.2.a.bg', 'source_level': 9216, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '2304.2.k.g', 'target_level': 2304, 'twist_class_label': '2304.2.k.g', 'twist_class_level': 2304, 'twisting_char_label': '32.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1422990
{'conductor': 32, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '9216.2.a.bg', 'source_level': 9216, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '2304.2.k.g', 'target_level': 2304, 'twist_class_label': '2304.2.k.g', 'twist_class_level': 2304, 'twisting_char_label': '32.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1422991
{'conductor': 96, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '9216.2.a.bg', 'source_level': 9216, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '2304.2.k.g', 'target_level': 2304, 'twist_class_label': '2304.2.k.g', 'twist_class_level': 2304, 'twisting_char_label': '96.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 1422992
{'conductor': 96, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '9216.2.a.bg', 'source_level': 9216, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '2304.2.k.g', 'target_level': 2304, 'twist_class_label': '2304.2.k.g', 'twist_class_level': 2304, 'twisting_char_label': '96.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1422993
{'conductor': 32, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '9216.2.a.bg', 'source_level': 9216, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '2304.2.k.j', 'target_level': 2304, 'twist_class_label': '2304.2.k.g', 'twist_class_level': 2304, 'twisting_char_label': '32.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1422994
{'conductor': 32, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '9216.2.a.bg', 'source_level': 9216, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '2304.2.k.j', 'target_level': 2304, 'twist_class_label': '2304.2.k.g', 'twist_class_level': 2304, 'twisting_char_label': '32.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1422995
{'conductor': 96, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '9216.2.a.bg', 'source_level': 9216, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '2304.2.k.j', 'target_level': 2304, 'twist_class_label': '2304.2.k.g', 'twist_class_level': 2304, 'twisting_char_label': '96.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 1422996
{'conductor': 96, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '9216.2.a.bg', 'source_level': 9216, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '2304.2.k.j', 'target_level': 2304, 'twist_class_label': '2304.2.k.g', 'twist_class_level': 2304, 'twisting_char_label': '96.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1422997
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '9216.2.a.bg', 'source_level': 9216, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '9216.2.a.bf', 'target_level': 9216, 'twist_class_label': '2304.2.k.g', 'twist_class_level': 2304, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1422998
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '9216.2.a.bg', 'source_level': 9216, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '9216.2.a.bf', 'target_level': 9216, 'twist_class_label': '2304.2.k.g', 'twist_class_level': 2304, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1422999
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '9216.2.a.bg', 'source_level': 9216, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '9216.2.a.bf', 'target_level': 9216, 'twist_class_label': '2304.2.k.g', 'twist_class_level': 2304, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1423000
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '9216.2.a.bg', 'source_level': 9216, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '9216.2.a.bf', 'target_level': 9216, 'twist_class_label': '2304.2.k.g', 'twist_class_level': 2304, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1423001
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '9216.2.a.bg', 'source_level': 9216, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '9216.2.a.bg', 'target_level': 9216, 'twist_class_label': '2304.2.k.g', 'twist_class_level': 2304, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1423002
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -3, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '9216.2.a.bg', 'source_level': 9216, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '9216.2.a.bg', 'target_level': 9216, 'twist_class_label': '2304.2.k.g', 'twist_class_level': 2304, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1423003
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '9216.2.a.bg', 'source_level': 9216, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '9216.2.a.bg', 'target_level': 9216, 'twist_class_label': '2304.2.k.g', 'twist_class_level': 2304, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1423004
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '9216.2.a.bg', 'source_level': 9216, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '9216.2.a.bg', 'target_level': 9216, 'twist_class_label': '2304.2.k.g', 'twist_class_level': 2304, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4966375
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 144115188109419520, 'p': 2}
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id: 4966376
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 144115188109419520, 'p': 3}
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id: 4966377
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 144115188109419520, 'p': 5}
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id: 4966378
{'charpoly_factorization': [[[4, 0, -28, 0, 1], 1]], 'hecke_orbit_code': 144115188109419520, 'p': 7}
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id: 4966379
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 144115188109419520, 'p': 11}
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id: 4966380
{'charpoly_factorization': [[[484, 0, -52, 0, 1], 1]], 'hecke_orbit_code': 144115188109419520, 'p': 13}
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id: 4966381
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 144115188109419520, 'p': 17}
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id: 4966382
{'charpoly_factorization': [[[-12, 0, 1], 2]], 'hecke_orbit_code': 144115188109419520, 'p': 19}
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id: 4966383
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 144115188109419520, 'p': 23}
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id: 4966384
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 144115188109419520, 'p': 29}
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id: 4966385
{'charpoly_factorization': [[[2116, 0, -124, 0, 1], 1]], 'hecke_orbit_code': 144115188109419520, 'p': 31}
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id: 4966386
{'charpoly_factorization': [[[676, 0, -148, 0, 1], 1]], 'hecke_orbit_code': 144115188109419520, 'p': 37}
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id: 4966387
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 144115188109419520, 'p': 41}
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id: 4966388
{'charpoly_factorization': [[[-108, 0, 1], 2]], 'hecke_orbit_code': 144115188109419520, 'p': 43}
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id: 4966389
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 144115188109419520, 'p': 47}
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id: 4966390
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 144115188109419520, 'p': 53}
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id: 4966391
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 144115188109419520, 'p': 59}
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id: 4966392
{'charpoly_factorization': [[[5476, 0, -244, 0, 1], 1]], 'hecke_orbit_code': 144115188109419520, 'p': 61}
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id: 4966393
{'charpoly_factorization': [[[-16, 1], 4]], 'hecke_orbit_code': 144115188109419520, 'p': 67}
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id: 4966394
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 144115188109419520, 'p': 71}
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id: 4966395
{'charpoly_factorization': [[[-192, 0, 1], 2]], 'hecke_orbit_code': 144115188109419520, 'p': 73}
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id: 4966396
{'charpoly_factorization': [[[20164, 0, -316, 0, 1], 1]], 'hecke_orbit_code': 144115188109419520, 'p': 79}
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id: 4966397
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 144115188109419520, 'p': 83}
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id: 4966398
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 144115188109419520, 'p': 89}
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id: 4966399
{'charpoly_factorization': [[[-192, 0, 1], 2]], 'hecke_orbit_code': 144115188109419520, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 33, 'label': '9216.2.a.bg', 'level': 9216, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 268198000
{'hecke_orbit_code': 144115188109419520, 'n': 1, 'trace_an': 4}
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id: 268198001
{'hecke_orbit_code': 144115188109419520, 'n': 2, 'trace_an': 0}
-
id: 268198002
{'hecke_orbit_code': 144115188109419520, 'n': 3, 'trace_an': 0}
-
id: 268198003
{'hecke_orbit_code': 144115188109419520, 'n': 4, 'trace_an': 0}
-
id: 268198004
{'hecke_orbit_code': 144115188109419520, 'n': 5, 'trace_an': 0}
-
id: 268198005
{'hecke_orbit_code': 144115188109419520, 'n': 6, 'trace_an': 0}
-
id: 268198006
{'hecke_orbit_code': 144115188109419520, 'n': 7, 'trace_an': 0}
-
id: 268198007
{'hecke_orbit_code': 144115188109419520, 'n': 8, 'trace_an': 0}
-
id: 268198008
{'hecke_orbit_code': 144115188109419520, 'n': 9, 'trace_an': 0}
-
id: 268198009
{'hecke_orbit_code': 144115188109419520, 'n': 10, 'trace_an': 0}
-
id: 268198010
{'hecke_orbit_code': 144115188109419520, 'n': 11, 'trace_an': 0}
-
id: 268198011
{'hecke_orbit_code': 144115188109419520, 'n': 12, 'trace_an': 0}
-
id: 268198012
{'hecke_orbit_code': 144115188109419520, 'n': 13, 'trace_an': 0}
-
id: 268198013
{'hecke_orbit_code': 144115188109419520, 'n': 14, 'trace_an': 0}
-
id: 268198014
{'hecke_orbit_code': 144115188109419520, 'n': 15, 'trace_an': 0}
-
id: 268198015
{'hecke_orbit_code': 144115188109419520, 'n': 16, 'trace_an': 0}
-
id: 268198016
{'hecke_orbit_code': 144115188109419520, 'n': 17, 'trace_an': 0}
-
id: 268198017
{'hecke_orbit_code': 144115188109419520, 'n': 18, 'trace_an': 0}
-
id: 268198018
{'hecke_orbit_code': 144115188109419520, 'n': 19, 'trace_an': 0}
-
id: 268198019
{'hecke_orbit_code': 144115188109419520, 'n': 20, 'trace_an': 0}
-
id: 268198020
{'hecke_orbit_code': 144115188109419520, 'n': 21, 'trace_an': 0}
-
id: 268198021
{'hecke_orbit_code': 144115188109419520, 'n': 22, 'trace_an': 0}
-
id: 268198022
{'hecke_orbit_code': 144115188109419520, 'n': 23, 'trace_an': 0}
-
id: 268198023
{'hecke_orbit_code': 144115188109419520, 'n': 24, 'trace_an': 0}
-
id: 268198024
{'hecke_orbit_code': 144115188109419520, 'n': 25, 'trace_an': -20}
-
id: 268198025
{'hecke_orbit_code': 144115188109419520, 'n': 26, 'trace_an': 0}
-
id: 268198026
{'hecke_orbit_code': 144115188109419520, 'n': 27, 'trace_an': 0}
-
id: 268198027
{'hecke_orbit_code': 144115188109419520, 'n': 28, 'trace_an': 0}
-
id: 268198028
{'hecke_orbit_code': 144115188109419520, 'n': 29, 'trace_an': 0}
-
id: 268198029
{'hecke_orbit_code': 144115188109419520, 'n': 30, 'trace_an': 0}
-
id: 268198030
{'hecke_orbit_code': 144115188109419520, 'n': 31, 'trace_an': 0}
-
id: 268198031
{'hecke_orbit_code': 144115188109419520, 'n': 32, 'trace_an': 0}
-
id: 268198032
{'hecke_orbit_code': 144115188109419520, 'n': 33, 'trace_an': 0}
-
id: 268198033
{'hecke_orbit_code': 144115188109419520, 'n': 34, 'trace_an': 0}
-
id: 268198034
{'hecke_orbit_code': 144115188109419520, 'n': 35, 'trace_an': 0}
-
id: 268198035
{'hecke_orbit_code': 144115188109419520, 'n': 36, 'trace_an': 0}
-
id: 268198036
{'hecke_orbit_code': 144115188109419520, 'n': 37, 'trace_an': 0}
-
id: 268198037
{'hecke_orbit_code': 144115188109419520, 'n': 38, 'trace_an': 0}
-
id: 268198038
{'hecke_orbit_code': 144115188109419520, 'n': 39, 'trace_an': 0}
-
id: 268198039
{'hecke_orbit_code': 144115188109419520, 'n': 40, 'trace_an': 0}
-
id: 268198040
{'hecke_orbit_code': 144115188109419520, 'n': 41, 'trace_an': 0}
-
id: 268198041
{'hecke_orbit_code': 144115188109419520, 'n': 42, 'trace_an': 0}
-
id: 268198042
{'hecke_orbit_code': 144115188109419520, 'n': 43, 'trace_an': 0}
-
id: 268198043
{'hecke_orbit_code': 144115188109419520, 'n': 44, 'trace_an': 0}
-
id: 268198044
{'hecke_orbit_code': 144115188109419520, 'n': 45, 'trace_an': 0}
-
id: 268198045
{'hecke_orbit_code': 144115188109419520, 'n': 46, 'trace_an': 0}
-
id: 268198046
{'hecke_orbit_code': 144115188109419520, 'n': 47, 'trace_an': 0}
-
id: 268198047
{'hecke_orbit_code': 144115188109419520, 'n': 48, 'trace_an': 0}
-
id: 268198048
{'hecke_orbit_code': 144115188109419520, 'n': 49, 'trace_an': 28}
-
id: 268198049
{'hecke_orbit_code': 144115188109419520, 'n': 50, 'trace_an': 0}
-
id: 268198050
{'hecke_orbit_code': 144115188109419520, 'n': 51, 'trace_an': 0}
-
id: 268198051
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