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{'Nk2': 12480, 'analytic_conductor': 24.91332543063948, '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': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3120, 1, [1951, 2341, 2081, 2497, 2641], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 316, 'field_disc_factorization': [[2, 2], [79, 1]], 'field_poly': [2, -4, -1, 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': [[7, [16, -16, 1, 1]], [11, [16, -16, 1, 1]], [17, [-76, -32, 1, 1]], [19, [-64, -16, 6, 1]], [31, [-32, -16, 6, 1]]], 'hecke_orbit': 36, 'hecke_orbit_code': 157625986991524912, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], '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': '3120.2.a.bj', 'level': 3120, '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': '195.2.a.e', 'nf_label': '3.3.316.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{5}+\\beta _{1}q^{7}+q^{9}+\\beta _{1}q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3120.2.a', 'trace_display': [0, 3, -3, -1], 'trace_hash': 456036060015414831, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.065', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.893', 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mf_newspaces • Show schema
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{'AL_dims': [[[[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]], 2, 2], [[[2, -1], [3, 1], [5, -1], [13, 1]], 4, 2], [[[2, -1], [3, 1], [5, -1], [13, -1]], 3, 3], [[[2, -1], [3, -1], [5, 1], [13, 1]], 4, 3], [[[2, 1], [3, -1], [5, -1], [13, -1]], 5, 4], [[[2, 1], [3, 1], [5, 1], [13, -1]], 5, 3], [[[2, 1], [3, -1], [5, 1], [13, -1]], 2, 2], [[[2, 1], [3, 1], [5, 1], [13, 1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [13, 1]], 3, 3], [[[2, 1], [3, -1], [5, -1], [13, 1]], 1, 1], [[[2, -1], [3, -1], [5, 1], [13, -1]], 3, 1], [[[2, -1], [3, -1], [5, -1], [13, 1]], 3, 3], [[[2, 1], [3, 1], [5, -1], [13, 1]], 4, 2], [[[2, 1], [3, -1], [5, 1], [13, 1]], 4, 2]], 'ALdims': [1, 5, 4, 2, 4, 2, 1, 5, 3, 2, 4, 3, 4, 3, 3, 2], 'Nk2': 12480, 'analytic_conductor': 24.91332543063948, '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': [3120, 1, [1951, 2341, 2081, 2497, 2641], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 649, 'dim': 48, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 19, 31], 'hecke_orbit_code': 33557552, '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, 2, 2, 2, 2, 2, 2, 3, 3, 3], 'label': '3120.2.a', 'level': 3120, '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': 696, 'mf_new_dim': 48, 'num_forms': 36, 'plus_dim': 18, 'prim_orbit_index': 1, 'relative_dim': 48, 'sturm_bound': 1344, 'trace_bound': 13, 'trace_display': [0, 0, 0, -8], 'traces': [48, 0, 0, 0, 0, 0, -8, 0, 48, 0, -16, 0, 0, 0, -4, 0, 0, 0, -8, 0, 0, 0, -16, 0, 48, 0, 0, 0, 32, 0, -8, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 48, 0, -8, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 8, 0, 16, 0, 32, 0, 0, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 48845948
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 157625986991524912, 'source_is_minimal': False, 'source_label': '3120.2.a.bj.1.3', 'source_level': 3120, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 157625986991524912, 'target_is_minimal': False, 'target_label': '3120.2.a.bj.1.3', 'target_level': 3120, 'twist_class_label': '195.2.a.e.1.3', 'twist_class_level': 195, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48845949
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 157625986991524912, 'source_is_minimal': False, 'source_label': '3120.2.a.bj.1.3', 'source_level': 3120, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 364791569850573968, 'target_is_minimal': False, 'target_label': '9360.2.a.dd.1.3', 'target_level': 9360, 'twist_class_label': '195.2.a.e.1.3', 'twist_class_level': 195, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48845950
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 157625986991524912, 'source_is_minimal': False, 'source_label': '3120.2.a.bj.1.3', 'source_level': 3120, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014398543036611, 'target_is_minimal': True, 'target_label': '195.2.a.e.1.3', 'target_level': 195, 'twist_class_label': '195.2.a.e.1.3', 'twist_class_level': 195, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48845951
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 157625986991524912, 'source_is_minimal': False, 'source_label': '3120.2.a.bj.1.3', 'source_level': 3120, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189371465, 'target_is_minimal': False, 'target_label': '585.2.a.n.1.1', 'target_level': 585, 'twist_class_label': '195.2.a.e.1.3', 'twist_class_level': 195, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48845952
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 157625986991524912, 'source_is_minimal': False, 'source_label': '3120.2.a.bj.1.3', 'source_level': 3120, 'target_conrey_index': 274, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028934491472847, 'target_is_minimal': False, 'target_label': '975.2.c.i.274.1', 'target_level': 975, 'twist_class_label': '195.2.a.e.1.3', 'twist_class_level': 195, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48845953
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 157625986991524912, 'source_is_minimal': False, 'source_label': '3120.2.a.bj.1.3', 'source_level': 3120, 'target_conrey_index': 274, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 36028934491472847, 'target_is_minimal': False, 'target_label': '975.2.c.i.274.6', 'target_level': 975, 'twist_class_label': '195.2.a.e.1.3', 'twist_class_level': 195, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48845954
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 157625986991524912, 'source_is_minimal': False, 'source_label': '3120.2.a.bj.1.3', 'source_level': 3120, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816742351, 'target_is_minimal': False, 'target_label': '975.2.a.o.1.1', 'target_level': 975, 'twist_class_label': '195.2.a.e.1.3', 'twist_class_level': 195, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48845955
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 157625986991524912, 'source_is_minimal': False, 'source_label': '3120.2.a.bj.1.3', 'source_level': 3120, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 189151184383124819, 'target_is_minimal': False, 'target_label': '9555.2.a.bq.1.3', 'target_level': 9555, 'twist_class_label': '195.2.a.e.1.3', 'twist_class_level': 195, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 48845956
{'conductor': 52, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 157625986991524912, 'source_is_minimal': False, 'source_label': '3120.2.a.bj.1.3', 'source_level': 3120, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 126100789599930855, 'target_is_minimal': False, 'target_label': '2535.2.a.bc.1.1', 'target_level': 2535, 'twist_class_label': '195.2.a.e.1.3', 'twist_class_level': 195, 'twisting_char_label': '52.51', 'twisting_conrey_index': 51, 'weight': 2}
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id: 48845957
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 157625986991524912, 'source_is_minimal': False, 'source_label': '3120.2.a.bj.1.3', 'source_level': 3120, 'target_conrey_index': 2224, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 99079329274661741, 'target_is_minimal': False, 'target_label': '2925.2.c.w.2224.6', 'target_level': 2925, 'twist_class_label': '195.2.a.e.1.3', 'twist_class_level': 195, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 48845958
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 157625986991524912, 'source_is_minimal': False, 'source_label': '3120.2.a.bj.1.3', 'source_level': 3120, 'target_conrey_index': 2224, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079329274661741, 'target_is_minimal': False, 'target_label': '2925.2.c.w.2224.1', 'target_level': 2925, 'twist_class_label': '195.2.a.e.1.3', 'twist_class_level': 195, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 48845959
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 157625986991524912, 'source_is_minimal': False, 'source_label': '3120.2.a.bj.1.3', 'source_level': 3120, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 148618787736783725, 'target_is_minimal': False, 'target_label': '2925.2.a.bh.1.3', 'target_level': 2925, 'twist_class_label': '195.2.a.e.1.3', 'twist_class_level': 195, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 48845960
{'conductor': 156, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 157625986991524912, 'source_is_minimal': False, 'source_label': '3120.2.a.bj.1.3', 'source_level': 3120, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 220676381774716341, 'target_is_minimal': False, 'target_label': '7605.2.a.bx.1.3', 'target_level': 7605, 'twist_class_label': '195.2.a.e.1.3', 'twist_class_level': 195, 'twisting_char_label': '156.155', 'twisting_conrey_index': 155, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 2981350
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 157625986991524912, 'p': 2}
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id: 2981351
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 157625986991524912, 'p': 3}
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id: 2981352
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 157625986991524912, 'p': 5}
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id: 2981353
{'charpoly_factorization': [[[16, -16, 1, 1], 1]], 'hecke_orbit_code': 157625986991524912, 'p': 7}
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id: 2981354
{'charpoly_factorization': [[[16, -16, 1, 1], 1]], 'hecke_orbit_code': 157625986991524912, 'p': 11}
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id: 2981355
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 157625986991524912, 'p': 13}
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id: 2981356
{'charpoly_factorization': [[[-76, -32, 1, 1], 1]], 'hecke_orbit_code': 157625986991524912, 'p': 17}
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id: 2981357
{'charpoly_factorization': [[[-64, -16, 6, 1], 1]], 'hecke_orbit_code': 157625986991524912, 'p': 19}
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id: 2981358
{'charpoly_factorization': [[[128, -16, -7, 1], 1]], 'hecke_orbit_code': 157625986991524912, 'p': 23}
-
id: 2981359
{'charpoly_factorization': [[[-6, 1], 3]], 'hecke_orbit_code': 157625986991524912, 'p': 29}
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id: 2981360
{'charpoly_factorization': [[[-32, -16, 6, 1], 1]], 'hecke_orbit_code': 157625986991524912, 'p': 31}
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id: 2981361
{'charpoly_factorization': [[[316, 0, -13, 1], 1]], 'hecke_orbit_code': 157625986991524912, 'p': 37}
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id: 2981362
{'charpoly_factorization': [[[76, -32, -1, 1], 1]], 'hecke_orbit_code': 157625986991524912, 'p': 41}
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id: 2981363
{'charpoly_factorization': [[[128, -112, 0, 1], 1]], 'hecke_orbit_code': 157625986991524912, 'p': 43}
-
id: 2981364
{'charpoly_factorization': [[[-64, 80, -18, 1], 1]], 'hecke_orbit_code': 157625986991524912, 'p': 47}
-
id: 2981365
{'charpoly_factorization': [[[4, 8, -11, 1], 1]], 'hecke_orbit_code': 157625986991524912, 'p': 53}
-
id: 2981366
{'charpoly_factorization': [[[128, -48, -8, 1], 1]], 'hecke_orbit_code': 157625986991524912, 'p': 59}
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id: 2981367
{'charpoly_factorization': [[[844, -112, -9, 1], 1]], 'hecke_orbit_code': 157625986991524912, 'p': 61}
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id: 2981368
{'charpoly_factorization': [[[-128, -64, 4, 1], 1]], 'hecke_orbit_code': 157625986991524912, 'p': 67}
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id: 2981369
{'charpoly_factorization': [[[32, 24, -11, 1], 1]], 'hecke_orbit_code': 157625986991524912, 'p': 71}
-
id: 2981370
{'charpoly_factorization': [[[-344, -100, 6, 1], 1]], 'hecke_orbit_code': 157625986991524912, 'p': 73}
-
id: 2981371
{'charpoly_factorization': [[[64, -48, 5, 1], 1]], 'hecke_orbit_code': 157625986991524912, 'p': 79}
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id: 2981372
{'charpoly_factorization': [[[-128, -48, 8, 1], 1]], 'hecke_orbit_code': 157625986991524912, 'p': 83}
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id: 2981373
{'charpoly_factorization': [[[4, 8, -11, 1], 1]], 'hecke_orbit_code': 157625986991524912, 'p': 89}
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id: 2981374
{'charpoly_factorization': [[[244, 176, 25, 1], 1]], 'hecke_orbit_code': 157625986991524912, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 36, 'label': '3120.2.a.bj', 'level': 3120, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 270137000
{'hecke_orbit_code': 157625986991524912, 'n': 1, 'trace_an': 3}
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id: 270137001
{'hecke_orbit_code': 157625986991524912, 'n': 2, 'trace_an': 0}
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id: 270137002
{'hecke_orbit_code': 157625986991524912, 'n': 3, 'trace_an': 3}
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id: 270137003
{'hecke_orbit_code': 157625986991524912, 'n': 4, 'trace_an': 0}
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id: 270137004
{'hecke_orbit_code': 157625986991524912, 'n': 5, 'trace_an': -3}
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id: 270137005
{'hecke_orbit_code': 157625986991524912, 'n': 6, 'trace_an': 0}
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id: 270137006
{'hecke_orbit_code': 157625986991524912, 'n': 7, 'trace_an': -1}
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id: 270137007
{'hecke_orbit_code': 157625986991524912, 'n': 8, 'trace_an': 0}
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id: 270137008
{'hecke_orbit_code': 157625986991524912, 'n': 9, 'trace_an': 3}
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id: 270137009
{'hecke_orbit_code': 157625986991524912, 'n': 10, 'trace_an': 0}
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id: 270137010
{'hecke_orbit_code': 157625986991524912, 'n': 11, 'trace_an': -1}
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id: 270137011
{'hecke_orbit_code': 157625986991524912, 'n': 12, 'trace_an': 0}
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id: 270137012
{'hecke_orbit_code': 157625986991524912, 'n': 13, 'trace_an': 3}
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id: 270137013
{'hecke_orbit_code': 157625986991524912, 'n': 14, 'trace_an': 0}
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id: 270137014
{'hecke_orbit_code': 157625986991524912, 'n': 15, 'trace_an': -3}
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id: 270137015
{'hecke_orbit_code': 157625986991524912, 'n': 16, 'trace_an': 0}
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id: 270137016
{'hecke_orbit_code': 157625986991524912, 'n': 17, 'trace_an': -1}
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id: 270137017
{'hecke_orbit_code': 157625986991524912, 'n': 18, 'trace_an': 0}
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id: 270137018
{'hecke_orbit_code': 157625986991524912, 'n': 19, 'trace_an': -6}
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id: 270137019
{'hecke_orbit_code': 157625986991524912, 'n': 20, 'trace_an': 0}
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id: 270137020
{'hecke_orbit_code': 157625986991524912, 'n': 21, 'trace_an': -1}
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id: 270137021
{'hecke_orbit_code': 157625986991524912, 'n': 22, 'trace_an': 0}
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id: 270137022
{'hecke_orbit_code': 157625986991524912, 'n': 23, 'trace_an': 7}
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id: 270137023
{'hecke_orbit_code': 157625986991524912, 'n': 24, 'trace_an': 0}
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id: 270137024
{'hecke_orbit_code': 157625986991524912, 'n': 25, 'trace_an': 3}
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id: 270137025
{'hecke_orbit_code': 157625986991524912, 'n': 26, 'trace_an': 0}
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id: 270137026
{'hecke_orbit_code': 157625986991524912, 'n': 27, 'trace_an': 3}
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id: 270137027
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