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mf_newforms • Show schema
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{'Nk2': 5700, 'analytic_conductor': 11.378682288032454, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1425, 2, [476, 1027, 1351], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 799, 'dim': 4, 'field_disc': 400, 'field_disc_factorization': [[2, 4], [5, 2]], 'field_poly': [1, 0, 3, 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': [[2, [1, 0, 3, 0, 1]], [7, [5, 0, 1]], [11, [4, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043333000955281, 'hecke_ring_generator_nbound': 2, '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, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1425.2.c.m', 'level': 1425, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 19], 'level_radical': 285, 'minimal_twist': '1425.2.a.n', 'nf_label': '4.0.400.1', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{1}q^{2}-\\beta _{3}q^{3}+(1+\\beta _{2})q^{4}+\\beta _{2}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1425.2.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1115735289615413746, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.027', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.905', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.431', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 5700, 'analytic_conductor': 11.378682288032454, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1425, 2, [476, 1027, 1351], [2, 1, 2]], 'conrey_index': 799, 'cusp_dim': 188, 'dim': 52, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 137472509329, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6], 'label': '1425.2.c', 'level': 1425, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 19], 'level_radical': 285, 'mf_dim': 212, 'mf_new_dim': 52, 'num_forms': 16, 'prim_orbit_index': 2, 'relative_dim': 52, 'sturm_bound': 400, 'trace_bound': 14, 'trace_display': [0, 0, 0, 0], 'traces': [52, 0, 0, -48, 0, -4, 0, 0, -52, 0, -4, 0, 0, -32, 0, 56, 0, 0, 8, 0, 0, 0, 0, 12, 0, 8, 0, 0, 16, 0, 24, 0, 0, 8, 0, 48, 0, 0, 0, 0, -56, 0, 0, 8, 0, -48, 0, 0, -40, 0, 16, 0, 0, 4, 0, 0, 0, 0, -96, 0, -28, 0, 0, -32, 0, -16, 0, 0, -16, 0, 96, 0, 0, 168, 0, -20, 0, 0, -24, 0, 52, 0, 0, 32, 0, -8, 0, 0, 32, 0, 0, 0, 0, -32, 0, -68, 0, 0, 4, 0, -40, 0, 0, 8, 0, -80, 0, 0, 48, 0, 0, 0, 0, 8, 0, 32, 0, 0, -108, 0, 64, 0, 0, -144, 0, 32, 0, 0, -48, 0, 20, 0, 0, -8, 0, -64, 0, 0, 20, 0, -8, 0, 0, -56, 0, 72, 0, 0, 76, 0, 72, 0, 0, 72, 0, 64, 0, 0, 48, 0, -64, 0, 0, 160, 0, 184, 0, 0, -60, 0, -8, 0, 0, -96, 0, 128, 0, 0, -40, 0, -104, 0, 0, 48, 0, -112, 0, 0, 0, 0, -68, 0, 0, -152, 0, 160, 0, 0, -12, 0, 8, 0, 0, -64, 0, -104, 0, 0, 20, 0, 24, 0, 0, 40, 0, -12, 0, 0, -32, 0, -136, 0, 0, 232, 0, -72, 0, 0, -44, 0, 32, 0, 0, -8, 0, 280, 0, 0, 60, 0, -8, 0, 0, 168, 0, -48, 0, 0, 32, 0, 108, 0, 0, 40, 0, -232, 0, 0, -128, 0, -16, 0, 0, 32, 0, 0, 0, 0, 128, 0, -80, 0, 0, 136, 0, -24, 0, 0, -24, 0, -144, 0, 0, 56, 0, -272, 0, 0, 80, 0, -16, 0, 0, 140, 0, -360, 0, 0, 32, 0, 84, 0, 0, 44, 0, -8, 0, 0, 56, 0, 140, 0, 0, 0, 0, -64, 0, 0, 64, 0, -32, 0, 0, -48, 0, -120, 0, 0, 84, 0, 64, 0, 0, 104, 0, 0, 0, 0, -32, 0, 216, 0, 0, -16, 0, -160, 0, 0, -140, 0, 0, 0, 0, -80, 0, -224, 0, 0, 12, 0, 52, 0, 0, -72, 0, 24, 0, 0, 56, 0, -40, 0, 0, 216, 0, -48, 0, 0, -216, 0, -104, 0, 0, 84, 0, -120, 0, 0, -172, 0, -112, 0, 0, -48, 0, -8, 0, 0, 32, 0, -72, 0, 0, -160, 0, 200, 0, 0, 152, 0, 80, 0, 0, 48, 0, -248, 0, 0, -248, 0, 16, 0, 0, -120, 0, -80, 0, 0, 0, 0, 136, 0, 0, 240, 0, 184, 0, 0, 32, 0, 40, 0, 0, -240, 0, 168, 0, 0, 360, 0, 392, 0, 0, -40, 0, -24, 0, 0, -16, 0, 228, 0, 0, 0, 0, -64, 0, 0, 56, 0, 64, 0, 0, -168, 0, 40, 0, 0, -128, 0, -128, 0, 0, 336, 0, -4, 0, 0, -32, 0, -168, 0, 0, -96, 0, 480, 0, 0, -20, 0, 48, 0, 0, 0, 0, -176, 0, 0, -224, 0, -212, 0, 0, 16, 0, 128, 0, 0, -64, 0, -40, 0, 0, -216, 0, -424, 0, 0, -188, 0, 96, 0, 0, 32, 0, 152, 0, 0, 104, 0, 52, 0, 0, -264, 0, 48, 0, 0, 28, 0, 16, 0, 0, 72, 0, -96, 0, 0, -200, 0, 96, 0, 0, 256, 0, 248, 0, 0, 80, 0, 48, 0, 0, -104, 0, 32, 0, 0, 16, 0, -16, 0, 0, 40, 0, 24, 0, 0, 16, 0, 16, 0, 0, 16, 0, -88, 0, 0, 80, 0, 8, 0, 0, 144, 0, 104, 0, 0, 224, 0, -56, 0, 0, -264, 0, -376, 0, 0, -16, 0, 16, 0, 0, -64, 0, 8, 0, 0, -64, 0, 252, 0, 0, 80, 0, -152, 0, 0, -96, 0, 0, 0, 0, -144, 0, 0, 0, 0, 200, 0, 112, 0, 0, 176, 0, 64, 0, 0, -360, 0, -104, 0, 0, -80, 0, -168, 0, 0, 152, 0, 108, 0, 0, -216, 0, 80, 0, 0, -152, 0, -128, 0, 0, 20, 0, 400, 0, 0, 192, 0, 388, 0, 0, -72, 0, 128, 0, 0, -96, 0, -88, 0, 0, -224, 0, 72, 0, 0, 240, 0, 24, 0, 0, 256, 0, 136, 0, 0, -60, 0, -160, 0, 0, 432, 0, -172, 0, 0, -52, 0, -244, 0, 0, 256, 0, -40, 0, 0, 4, 0, -24, 0, 0, 112, 0, 376, 0, 0, -168, 0, -152, 0, 0, -64, 0, -32, 0, 0, -192, 0, 100, 0, 0, -328, 0, -24, 0, 0, 284, 0, 32, 0, 0, 8, 0, 24, 0, 0, -32, 0, -168, 0, 0, 112, 0, -112, 0, 0, -224, 0, -248, 0, 0, 144, 0, 464, 0, 0, 156, 0, -32, 0, 0, -56, 0, 64, 0, 0, -12, 0, 304, 0, 0, -416, 0, 120, 0, 0, 0, 0, -332, 0, 0, -8, 0, -200, 0, 0, -88, 0, 0, 0, 0, -280, 0, -80, 0, 0, -184, 0, 52, 0, 0, -64, 0, 32, 0, 0, 0, 0, 48, 0, 0, 272, 0, 176, 0, 0, 68, 0, 32, 0, 0, 68, 0, 168, 0, 0, 192, 0, -16, 0, 0, -40, 0, -384, 0, 0, 160, 0, -108, 0, 0, 416, 0, 672, 0, 0, 32, 0, -4, 0, 0, 280, 0, -344, 0, 0, 136, 0, -80, 0, 0, 104, 0, 184, 0, 0, 40, 0, 8, 0, 0, -536, 0, 384, 0, 0, 160, 0, 248, 0, 0, -360, 0, 200, 0, 0, 200, 0, -44, 0, 0, -360, 0, -8, 0, 0, -96, 0, -112, 0, 0, -488, 0, -104, 0, 0, -416, 0, -160, 0, 0, 80, 0, 256, 0, 0, 180, 0, 460, 0, 0, -304, 0, 144, 0, 0, 24, 0, -144, 0, 0, -544, 0, -192, 0, 0, 64, 0, -48, 0, 0, 64, 0, 240, 0, 0, -368, 0, -88, 0, 0, -392, 0, -192, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47561205
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 799, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043333000955281, 'source_is_minimal': False, 'source_label': '1425.2.c.m.799.1', 'source_level': 1425, 'target_conrey_index': 799, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043333000955281, 'target_is_minimal': False, 'target_label': '1425.2.c.m.799.1', 'target_level': 1425, 'twist_class_label': '1425.2.a.n.1.1', 'twist_class_level': 1425, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47561206
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 799, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043333000955281, 'source_is_minimal': False, 'source_label': '1425.2.c.m.799.1', 'source_level': 1425, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057594071483793, 'target_is_minimal': True, 'target_label': '1425.2.a.q.1.2', 'target_level': 1425, 'twist_class_label': '1425.2.a.n.1.1', 'twist_class_level': 1425, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47561207
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 799, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043333000955281, 'source_is_minimal': False, 'source_label': '1425.2.c.m.799.1', 'source_level': 1425, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189372305, 'target_is_minimal': True, 'target_label': '1425.2.a.n.1.1', 'target_level': 1425, 'twist_class_label': '1425.2.a.n.1.1', 'twist_class_level': 1425, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47561208
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 799, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043333000955281, 'source_is_minimal': False, 'source_label': '1425.2.c.m.799.1', 'source_level': 1425, 'target_conrey_index': 799, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 54043333000955281, 'target_is_minimal': False, 'target_label': '1425.2.c.m.799.4', 'target_level': 1425, 'twist_class_label': '1425.2.a.n.1.1', 'twist_class_level': 1425, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47561209
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 799, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043333000955281, 'source_is_minimal': False, 'source_label': '1425.2.c.m.799.1', 'source_level': 1425, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326227635, 'target_is_minimal': False, 'target_label': '4275.2.a.s.1.1', 'target_level': 4275, 'twist_class_label': '1425.2.a.n.1.1', 'twist_class_level': 1425, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47561210
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 799, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043333000955281, 'source_is_minimal': False, 'source_label': '1425.2.c.m.799.1', 'source_level': 1425, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94575592208339123, 'target_is_minimal': False, 'target_label': '4275.2.a.v.1.2', 'target_level': 4275, 'twist_class_label': '1425.2.a.n.1.1', 'twist_class_level': 1425, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1939250
{'charpoly_factorization': [[[1, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 54043333000955281, 'p': 2}
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id: 1939251
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 54043333000955281, 'p': 3}
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id: 1939252
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 54043333000955281, 'p': 5}
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id: 1939253
{'charpoly_factorization': [[[5, 0, 1], 2]], 'hecke_orbit_code': 54043333000955281, 'p': 7}
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id: 1939254
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 54043333000955281, 'p': 11}
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id: 1939255
{'charpoly_factorization': [[[256, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 54043333000955281, 'p': 13}
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id: 1939256
{'charpoly_factorization': [[[16, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 54043333000955281, 'p': 17}
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id: 1939257
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 54043333000955281, 'p': 19}
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id: 1939258
{'charpoly_factorization': [[[16, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 54043333000955281, 'p': 23}
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id: 1939259
{'charpoly_factorization': [[[-11, 6, 1], 2]], 'hecke_orbit_code': 54043333000955281, 'p': 29}
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id: 1939260
{'charpoly_factorization': [[[16, 12, 1], 2]], 'hecke_orbit_code': 54043333000955281, 'p': 31}
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id: 1939261
{'charpoly_factorization': [[[400, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 54043333000955281, 'p': 37}
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id: 1939262
{'charpoly_factorization': [[[5, 1], 4]], 'hecke_orbit_code': 54043333000955281, 'p': 41}
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id: 1939263
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 54043333000955281, 'p': 43}
-
id: 1939264
{'charpoly_factorization': [[[16, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 54043333000955281, 'p': 47}
-
id: 1939265
{'charpoly_factorization': [[[25, 0, 1], 2]], 'hecke_orbit_code': 54043333000955281, 'p': 53}
-
id: 1939266
{'charpoly_factorization': [[[19, -16, 1], 2]], 'hecke_orbit_code': 54043333000955281, 'p': 59}
-
id: 1939267
{'charpoly_factorization': [[[-79, 2, 1], 2]], 'hecke_orbit_code': 54043333000955281, 'p': 61}
-
id: 1939268
{'charpoly_factorization': [[[5776, 0, 168, 0, 1], 1]], 'hecke_orbit_code': 54043333000955281, 'p': 67}
-
id: 1939269
{'charpoly_factorization': [[[-121, 4, 1], 2]], 'hecke_orbit_code': 54043333000955281, 'p': 71}
-
id: 1939270
{'charpoly_factorization': [[[361, 0, 42, 0, 1], 1]], 'hecke_orbit_code': 54043333000955281, 'p': 73}
-
id: 1939271
{'charpoly_factorization': [[[36, -18, 1], 2]], 'hecke_orbit_code': 54043333000955281, 'p': 79}
-
id: 1939272
{'charpoly_factorization': [[[5776, 0, 168, 0, 1], 1]], 'hecke_orbit_code': 54043333000955281, 'p': 83}
-
id: 1939273
{'charpoly_factorization': [[[-79, -2, 1], 2]], 'hecke_orbit_code': 54043333000955281, 'p': 89}
-
id: 1939274
{'charpoly_factorization': [[[400, 0, 140, 0, 1], 1]], 'hecke_orbit_code': 54043333000955281, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 13, 'label': '1425.2.c.m', 'level': 1425, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 58098223
{'hecke_orbit_code': 54043333000955281, 'n': 1, 'trace_an': 4}
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id: 58098224
{'hecke_orbit_code': 54043333000955281, 'n': 2, 'trace_an': 0}
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id: 58098225
{'hecke_orbit_code': 54043333000955281, 'n': 3, 'trace_an': 0}
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id: 58098226
{'hecke_orbit_code': 54043333000955281, 'n': 4, 'trace_an': 2}
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id: 58098227
{'hecke_orbit_code': 54043333000955281, 'n': 5, 'trace_an': 0}
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id: 58098228
{'hecke_orbit_code': 54043333000955281, 'n': 6, 'trace_an': -2}
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id: 58098229
{'hecke_orbit_code': 54043333000955281, 'n': 7, 'trace_an': 0}
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id: 58098230
{'hecke_orbit_code': 54043333000955281, 'n': 8, 'trace_an': 0}
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id: 58098231
{'hecke_orbit_code': 54043333000955281, 'n': 9, 'trace_an': -4}
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id: 58098232
{'hecke_orbit_code': 54043333000955281, 'n': 10, 'trace_an': 0}
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id: 58098233
{'hecke_orbit_code': 54043333000955281, 'n': 11, 'trace_an': -16}
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id: 58098234
{'hecke_orbit_code': 54043333000955281, 'n': 12, 'trace_an': 0}
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id: 58098235
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id: 58098445
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id: 58098446
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id: 58098447
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id: 58098448
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id: 58098471
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id: 58098472
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id: 58098473
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id: 58098476
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id: 58098478
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id: 58098479
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id: 58098480
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