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{'Nk2': 6080, 'analytic_conductor': 12.137261107234618, 'analytic_rank': 0, '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': [1520, 1, [191, 1141, 1217, 401], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 229, 'field_disc_factorization': [[229, 1]], 'field_poly': [-1, -4, 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, [4, -6, -1, 1]], [7, [16, -12, -1, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326224880, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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': '1520.2.a.s', 'level': 1520, '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': '760.2.a.j', 'nf_label': '3.3.229.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{2}q^{3}+q^{5}-\\beta _{1}q^{7}+(1-\\beta _{1})q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1520.2.a', 'trace_display': [0, 1, 3, 1], 'trace_hash': 1498955472157135906, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.987', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.300', 'prec': 17}, {'__RealLiteral__': 0, 'data': '24.631', 'prec': 20}, {'__RealLiteral__': 0, 'data': '6.251', 'prec': 17}, {'__RealLiteral__': 0, 'data': '301.728', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, 'traces': [3, 0, 1, 0, 3, 0, 1, 0, 4, 0, 0, 0, 5, 0, 1, 0, 5, 0, -3, 0, 3, 0, 1, 0, 3, 0, 1, 0, 17, 0, -2, 0, 0, 0, 1, 0, 8, 0, -11, 0, 6, 0, 10, 0, 4, 0, -4, 0, 4, 0, -1, 0, 5, 0, 0, 0, -1, 0, -15, 0, 8, 0, 26, 0, 5, 0, -3, 0, 23, 0, 4, 0, 3, 0, 1, 0, 0, 0, -2, 0, -9, 0, 10, 0, 5, 0, 3, 0, 6, 0, -1, 0, -6, 0, -3, 0, -4, 0, 0, 0, -12, 0, 38, 0, 3, 0, -5, 0, 19, 0, 18, 0, -6, 0, 1, 0, 4, 0, -23, 0, -33, 0, 22, 0, 3, 0, 8, 0, -22, 0, 8, 0, -1, 0, 1, 0, 1, 0, 8, 0, -32, 0, 0, 0, 17, 0, 24, 0, 20, 0, 6, 0, -18, 0, -2, 0, -10, 0, 9, 0, -19, 0, 58, 0, 0, 0, 4, 0, -18, 0, -4, 0, 8, 0, 1, 0, -53, 0, -12, 0, 22, 0, 28, 0, 8, 0, 0, 0, 25, 0, -17, 0, 0, 0, -11, 0, -6, 0, -9, 0, -59, 0, -19, 0, 6, 0, -18, 0, 0, 0, 5, 0, 12, 0, 10, 0, -50, 0, -47, 0, 11, 0, 40, 0, 4, 0, -23, 0, 10, 0, 0, 0, 14, 0, -4, 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1], [19, -1]], 5, 2], [[[2, -1], [5, -1], [19, -1]], 7, 3], [[[2, 1], [5, -1], [19, -1]], 4, 4], [[[2, 1], [5, -1], [19, 1]], 4, 2], [[[2, 1], [5, 1], [19, 1]], 5, 2], [[[2, -1], [5, -1], [19, 1]], 3, 2], [[[2, -1], [5, 1], [19, 1]], 6, 3], [[[2, -1], [5, 1], [19, -1]], 2, 2]], 'ALdims': [5, 5, 4, 4, 6, 2, 3, 7], 'Nk2': 6080, 'analytic_conductor': 12.137261107234618, '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': [1520, 1, [191, 1141, 1217, 401], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 229, 'dim': 36, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 33555952, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4], 'label': '1520.2.a', 'level': 1520, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 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mf_twists_cc • Show schema
Hide schema
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id: 48171336
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793326224880, 'source_is_minimal': False, 'source_label': '1520.2.a.s.1.3', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 81064793326224880, 'target_is_minimal': False, 'target_label': '1520.2.a.s.1.3', 'target_level': 1520, 'twist_class_label': '760.2.a.j.1.1', 'twist_class_level': 760, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48171337
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793326224880, 'source_is_minimal': False, 'source_label': '1520.2.a.s.1.3', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679889656, 'target_is_minimal': True, 'target_label': '760.2.a.j.1.1', 'target_level': 760, 'twist_class_label': '760.2.a.j.1.1', 'twist_class_level': 760, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48171338
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793326224880, 'source_is_minimal': False, 'source_label': '1520.2.a.s.1.3', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 189151184383122864, 'target_is_minimal': False, 'target_label': '7600.2.a.bq.1.1', 'target_level': 7600, 'twist_class_label': '760.2.a.j.1.1', 'twist_class_level': 760, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48171339
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793326224880, 'source_is_minimal': False, 'source_label': '1520.2.a.s.1.3', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 211669182519973824, 'target_is_minimal': False, 'target_label': '6080.2.a.bv.1.3', 'target_level': 6080, 'twist_class_label': '760.2.a.j.1.1', 'twist_class_level': 760, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48171340
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793326224880, 'source_is_minimal': False, 'source_label': '1520.2.a.s.1.3', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 189151184383121344, 'target_is_minimal': False, 'target_label': '6080.2.a.bq.1.1', 'target_level': 6080, 'twist_class_label': '760.2.a.j.1.1', 'twist_class_level': 760, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48171341
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793326224880, 'source_is_minimal': False, 'source_label': '1520.2.a.s.1.3', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 144115188109417144, 'target_is_minimal': False, 'target_label': '6840.2.a.bg.1.1', 'target_level': 6840, 'twist_class_label': '760.2.a.j.1.1', 'twist_class_level': 760, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48171342
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793326224880, 'source_is_minimal': False, 'source_label': '1520.2.a.s.1.3', 'source_level': 1520, 'target_conrey_index': 3649, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539802093063896, 'target_is_minimal': False, 'target_label': '3800.2.d.l.3649.1', 'target_level': 3800, 'twist_class_label': '760.2.a.j.1.1', 'twist_class_level': 760, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48171343
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793326224880, 'source_is_minimal': False, 'source_label': '1520.2.a.s.1.3', 'source_level': 1520, 'target_conrey_index': 3649, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 49539802093063896, 'target_is_minimal': False, 'target_label': '3800.2.d.l.3649.6', 'target_level': 3800, 'twist_class_label': '760.2.a.j.1.1', 'twist_class_level': 760, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48171344
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793326224880, 'source_is_minimal': False, 'source_label': '1520.2.a.s.1.3', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 103582791463079640, 'target_is_minimal': False, 'target_label': '3800.2.a.x.1.3', 'target_level': 3800, 'twist_class_label': '760.2.a.j.1.1', 'twist_class_level': 760, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2007275
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 81064793326224880, 'p': 2}
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id: 2007276
{'charpoly_factorization': [[[4, -6, -1, 1], 1]], 'hecke_orbit_code': 81064793326224880, 'p': 3}
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id: 2007277
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 81064793326224880, 'p': 5}
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id: 2007278
{'charpoly_factorization': [[[16, -12, -1, 1], 1]], 'hecke_orbit_code': 81064793326224880, 'p': 7}
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id: 2007279
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 81064793326224880, 'p': 11}
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id: 2007280
{'charpoly_factorization': [[[4, 2, -5, 1], 1]], 'hecke_orbit_code': 81064793326224880, 'p': 13}
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id: 2007281
{'charpoly_factorization': [[[4, -4, -5, 1], 1]], 'hecke_orbit_code': 81064793326224880, 'p': 17}
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id: 2007282
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 81064793326224880, 'p': 19}
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id: 2007283
{'charpoly_factorization': [[[64, -32, -1, 1], 1]], 'hecke_orbit_code': 81064793326224880, 'p': 23}
-
id: 2007284
{'charpoly_factorization': [[[-124, 84, -17, 1], 1]], 'hecke_orbit_code': 81064793326224880, 'p': 29}
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id: 2007285
{'charpoly_factorization': [[[-128, -48, 2, 1], 1]], 'hecke_orbit_code': 81064793326224880, 'p': 31}
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id: 2007286
{'charpoly_factorization': [[[8, 0, -8, 1], 1]], 'hecke_orbit_code': 81064793326224880, 'p': 37}
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id: 2007287
{'charpoly_factorization': [[[56, -52, -6, 1], 1]], 'hecke_orbit_code': 81064793326224880, 'p': 41}
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id: 2007288
{'charpoly_factorization': [[[32, 8, -10, 1], 1]], 'hecke_orbit_code': 81064793326224880, 'p': 43}
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id: 2007289
{'charpoly_factorization': [[[128, -80, 4, 1], 1]], 'hecke_orbit_code': 81064793326224880, 'p': 47}
-
id: 2007290
{'charpoly_factorization': [[[-52, -42, -5, 1], 1]], 'hecke_orbit_code': 81064793326224880, 'p': 53}
-
id: 2007291
{'charpoly_factorization': [[[-784, -28, 15, 1], 1]], 'hecke_orbit_code': 81064793326224880, 'p': 59}
-
id: 2007292
{'charpoly_factorization': [[[64, -4, -8, 1], 1]], 'hecke_orbit_code': 81064793326224880, 'p': 61}
-
id: 2007293
{'charpoly_factorization': [[[-1052, -178, 3, 1], 1]], 'hecke_orbit_code': 81064793326224880, 'p': 67}
-
id: 2007294
{'charpoly_factorization': [[[1024, -192, -4, 1], 1]], 'hecke_orbit_code': 81064793326224880, 'p': 71}
-
id: 2007295
{'charpoly_factorization': [[[-292, -100, -3, 1], 1]], 'hecke_orbit_code': 81064793326224880, 'p': 73}
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id: 2007296
{'charpoly_factorization': [[[-32, -24, 2, 1], 1]], 'hecke_orbit_code': 81064793326224880, 'p': 79}
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id: 2007297
{'charpoly_factorization': [[[32, -16, -10, 1], 1]], 'hecke_orbit_code': 81064793326224880, 'p': 83}
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id: 2007298
{'charpoly_factorization': [[[184, -52, -6, 1], 1]], 'hecke_orbit_code': 81064793326224880, 'p': 89}
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id: 2007299
{'charpoly_factorization': [[[296, -104, 4, 1], 1]], 'hecke_orbit_code': 81064793326224880, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '1520.2.a.s', 'level': 1520, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 243719000
{'hecke_orbit_code': 81064793326224880, 'n': 1, 'trace_an': 3}
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id: 243719001
{'hecke_orbit_code': 81064793326224880, 'n': 2, 'trace_an': 0}
-
id: 243719002
{'hecke_orbit_code': 81064793326224880, 'n': 3, 'trace_an': 1}
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id: 243719003
{'hecke_orbit_code': 81064793326224880, 'n': 4, 'trace_an': 0}
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id: 243719004
{'hecke_orbit_code': 81064793326224880, 'n': 5, 'trace_an': 3}
-
id: 243719005
{'hecke_orbit_code': 81064793326224880, 'n': 6, 'trace_an': 0}
-
id: 243719006
{'hecke_orbit_code': 81064793326224880, 'n': 7, 'trace_an': 1}
-
id: 243719007
{'hecke_orbit_code': 81064793326224880, 'n': 8, 'trace_an': 0}
-
id: 243719008
{'hecke_orbit_code': 81064793326224880, 'n': 9, 'trace_an': 4}
-
id: 243719009
{'hecke_orbit_code': 81064793326224880, 'n': 10, 'trace_an': 0}
-
id: 243719010
{'hecke_orbit_code': 81064793326224880, 'n': 11, 'trace_an': 0}
-
id: 243719011
{'hecke_orbit_code': 81064793326224880, 'n': 12, 'trace_an': 0}
-
id: 243719012
{'hecke_orbit_code': 81064793326224880, 'n': 13, 'trace_an': 5}
-
id: 243719013
{'hecke_orbit_code': 81064793326224880, 'n': 14, 'trace_an': 0}
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id: 243719014
{'hecke_orbit_code': 81064793326224880, 'n': 15, 'trace_an': 1}
-
id: 243719015
{'hecke_orbit_code': 81064793326224880, 'n': 16, 'trace_an': 0}
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id: 243719016
{'hecke_orbit_code': 81064793326224880, 'n': 17, 'trace_an': 5}
-
id: 243719017
{'hecke_orbit_code': 81064793326224880, 'n': 18, 'trace_an': 0}
-
id: 243719018
{'hecke_orbit_code': 81064793326224880, 'n': 19, 'trace_an': -3}
-
id: 243719019
{'hecke_orbit_code': 81064793326224880, 'n': 20, 'trace_an': 0}
-
id: 243719020
{'hecke_orbit_code': 81064793326224880, 'n': 21, 'trace_an': 3}
-
id: 243719021
{'hecke_orbit_code': 81064793326224880, 'n': 22, 'trace_an': 0}
-
id: 243719022
{'hecke_orbit_code': 81064793326224880, 'n': 23, 'trace_an': 1}
-
id: 243719023
{'hecke_orbit_code': 81064793326224880, 'n': 24, 'trace_an': 0}
-
id: 243719024
{'hecke_orbit_code': 81064793326224880, 'n': 25, 'trace_an': 3}
-
id: 243719025
{'hecke_orbit_code': 81064793326224880, 'n': 26, 'trace_an': 0}
-
id: 243719026
{'hecke_orbit_code': 81064793326224880, 'n': 27, 'trace_an': 1}
-
id: 243719027
{'hecke_orbit_code': 81064793326224880, 'n': 28, 'trace_an': 0}
-
id: 243719028
{'hecke_orbit_code': 81064793326224880, 'n': 29, 'trace_an': 17}
-
id: 243719029
{'hecke_orbit_code': 81064793326224880, 'n': 30, 'trace_an': 0}
-
id: 243719030
{'hecke_orbit_code': 81064793326224880, 'n': 31, 'trace_an': -2}
-
id: 243719031
{'hecke_orbit_code': 81064793326224880, 'n': 32, 'trace_an': 0}
-
id: 243719032
{'hecke_orbit_code': 81064793326224880, 'n': 33, 'trace_an': 0}
-
id: 243719033
{'hecke_orbit_code': 81064793326224880, 'n': 34, 'trace_an': 0}
-
id: 243719034
{'hecke_orbit_code': 81064793326224880, 'n': 35, 'trace_an': 1}
-
id: 243719035
{'hecke_orbit_code': 81064793326224880, 'n': 36, 'trace_an': 0}
-
id: 243719036
{'hecke_orbit_code': 81064793326224880, 'n': 37, 'trace_an': 8}
-
id: 243719037
{'hecke_orbit_code': 81064793326224880, 'n': 38, 'trace_an': 0}
-
id: 243719038
{'hecke_orbit_code': 81064793326224880, 'n': 39, 'trace_an': -11}
-
id: 243719039
{'hecke_orbit_code': 81064793326224880, 'n': 40, 'trace_an': 0}
-
id: 243719040
{'hecke_orbit_code': 81064793326224880, 'n': 41, 'trace_an': 6}
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{'hecke_orbit_code': 81064793326224880, 'n': 1000, 'trace_an': 0}