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mf_newforms • Show schema
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{'Nk2': 27600, 'analytic_conductor': 55.096777394683464, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [6900, 2, [3451, 4601, 277, 1201], [2, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 6349, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [121, 0, 26, 0, 1]], [11, [-26, 2, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029140649908980, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], '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': False, 'label': '6900.2.f.i', 'level': 6900, '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': [2, 3, 5, 23], 'level_radical': 690, 'minimal_twist': '1380.2.a.h', 'nf_label': '4.0.144.1', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta_1 q^{3}+(-2\\beta_{2}+\\beta_1)q^{7}-q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6900.2.f', 'trace_display': [0, 0, 0, 0], 'trace_hash': 2087985393322371281, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.084', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '82.528', 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 27600, 'analytic_conductor': 55.096777394683464, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [6900, 2, [3451, 4601, 277, 1201], [2, 2, 1, 2]], 'conrey_index': 6349, 'cusp_dim': 1404, 'dim': 68, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 343630945012, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8], 'label': '6900.2.f', 'level': 6900, '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': [2, 3, 5, 23], 'level_radical': 690, 'mf_dim': 1476, 'mf_new_dim': 68, 'num_forms': 19, 'prim_orbit_index': 2, 'relative_dim': 68, 'sturm_bound': 2880, 'trace_bound': 21, 'trace_display': [0, 0, 0, 0], 'traces': [68, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, -32, 0, 12, 0, 0, 0, 0, 0, 0, 0, 4, 0, 8, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 4, 0, 0, 0, 0, 0, 0, 0, -8, 0, -40, 0, 0, 0, 0, 0, 0, 0, 16, 0, 68, 0, 0, 0, 0, 0, 0, 0, 32, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, -8, 0, 0, 0, 0, 0, 0, 0, -24, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, -40, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, -28, 0, 0, 0, 0, 0, 0, 0, -56, 0, 8, 0, 0, 0, 0, 0, 0, 0, -80, 0, -4, 0, 0, 0, 0, 0, 0, 0, -40, 0, -28, 0, 0, 0, 0, 0, 0, 0, 4, 0, -96, 0, 0, 0, 0, 0, 0, 0, -76, 0, -52, 0, 0, 0, 0, 0, 0, 0, 32, 0, 60, 0, 0, 0, 0, 0, 0, 0, -8, 0, 72, 0, 0, 0, 0, 0, 0, 0, 20, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 32, 0, 0, 0, 0, 0, 0, 0, -40, 0, 72, 0, 0, 0, 0, 0, 0, 0, -12, 0, -144, 0, 0, 0, 0, 0, 0, 0, -52, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, 8, 0, 40, 0, 0, 0, 0, 0, 0, 0, -160, 0, -64, 0, 0, 0, 0, 0, 0, 0, 80, 0, -48, 0, 0, 0, 0, 0, 0, 0, 32, 0, -32, 0, 0, 0, 0, 0, 0, 0, -56, 0, -4, 0, 0, 0, 0, 0, 0, 0, -64, 0, 48, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 48, 0, 0, 0, 0, 0, 0, 0, -56, 0, 8, 0, 0, 0, 0, 0, 0, 0, -52, 0, 136, 0, 0, 0, 0, 0, 0, 0, -20, 0, 48, 0, 0, 0, 0, 0, 0, 0, 40, 0, -24, 0, 0, 0, 0, 0, 0, 0, 96, 0, -120, 0, 0, 0, 0, 0, 0, 0, 84, 0, 96, 0, 0, 0, 0, 0, 0, 0, -176, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -92, 0, -12, 0, 0, 0, 0, 0, 0, 0, 96, 0, -16, 0, 0, 0, 0, 0, 0, 0, 84, 0, 80, 0, 0, 0, 0, 0, 0, 0, 68, 0, 8, 0, 0, 0, 0, 0, 0, 0, -48, 0, -304, 0, 0, 0, 0, 0, 0, 0, -40, 0, 80, 0, 0, 0, 0, 0, 0, 0, -68, 0, -16, 0, 0, 0, 0, 0, 0, 0, -200, 0, 92, 0, 0, 0, 0, 0, 0, 0, -4, 0, -48, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, -124, 0, 0, 0, 0, 0, 0, 0, -52, 0, 136, 0, 0, 0, 0, 0, 0, 0, 52, 0, 8, 0, 0, 0, 0, 0, 0, 0, 104, 0, 308, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -20, 0, 8, 0, 0, 0, 0, 0, 0, 0, -128, 0, 116, 0, 0, 0, 0, 0, 0, 0, 40, 0, 208, 0, 0, 0, 0, 0, 0, 0, -80, 0, -68, 0, 0, 0, 0, 0, 0, 0, -128, 0, 80, 0, 0, 0, 0, 0, 0, 0, 12, 0, 336, 0, 0, 0, 0, 0, 0, 0, -36, 0, -32, 0, 0, 0, 0, 0, 0, 0, -344, 0, -144, 0, 0, 0, 0, 0, 0, 0, 24, 0, 376, 0, 0, 0, 0, 0, 0, 0, 172, 0, -16, 0, 0, 0, 0, 0, 0, 0, 80, 0, 168, 0, 0, 0, 0, 0, 0, 0, -68, 0, 136, 0, 0, 0, 0, 0, 0, 0, -144, 0, -116, 0, 0, 0, 0, 0, 0, 0, 208, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -124, 0, -40, 0, 0, 0, 0, 0, 0, 0, -208, 0, -240, 0, 0, 0, 0, 0, 0, 0, 8, 0, -160, 0, 0, 0, 0, 0, 0, 0, 168, 0, -32, 0, 0, 0, 0, 0, 0, 0, 64, 0, -68, 0, 0, 0, 0, 0, 0, 0, 20, 0, 64, 0, 0, 0, 0, 0, 0, 0, 40, 0, 92, 0, 0, 0, 0, 0, 0, 0, -72, 0, 12, 0, 0, 0, 0, 0, 0, 0, 28, 0, -32, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 20, 0, 0, 0, 0, 0, 0, 0, -40, 0, -160, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 296, 0, 368, 0, 0, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, 180, 0, -68, 0, 0, 0, 0, 0, 0, 0, -176, 0, 336, 0, 0, 0, 0, 0, 0, 0, 12, 0, -152, 0, 0, 0, 0, 0, 0, 0, 40, 0, -24, 0, 0, 0, 0, 0, 0, 0, 408, 0, -8, 0, 0, 0, 0, 0, 0, 0, -192, 0, -160, 0, 0, 0, 0, 0, 0, 0, -72, 0, -36, 0, 0, 0, 0, 0, 0, 0, 16, 0, -316, 0, 0, 0, 0, 0, 0, 0, 8, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46653533
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 6349, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029140649908980, 'source_is_minimal': False, 'source_label': '6900.2.f.i.6349.1', 'source_level': 6900, 'target_conrey_index': 6349, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029140649908980, 'target_is_minimal': False, 'target_label': '6900.2.f.i.6349.1', 'target_level': 6900, 'twist_class_label': '1380.2.a.h.1.2', 'twist_class_level': 1380, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46653534
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 6349, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029140649908980, 'source_is_minimal': False, 'source_label': '6900.2.f.i.6349.1', 'source_level': 6900, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525197425149284, 'target_is_minimal': True, 'target_label': '1380.2.a.h.1.2', 'target_level': 1380, 'twist_class_label': '1380.2.a.h.1.2', 'twist_class_level': 1380, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46653535
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 6349, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029140649908980, 'source_is_minimal': False, 'source_label': '6900.2.f.i.6349.1', 'source_level': 6900, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326230260, 'target_is_minimal': False, 'target_label': '6900.2.a.s.1.1', 'target_level': 6900, 'twist_class_label': '1380.2.a.h.1.2', 'twist_class_level': 1380, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46653536
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 6349, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029140649908980, 'source_is_minimal': False, 'source_label': '6900.2.f.i.6349.1', 'source_level': 6900, 'target_conrey_index': 6349, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36029140649908980, 'target_is_minimal': False, 'target_label': '6900.2.f.i.6349.4', 'target_level': 6900, 'twist_class_label': '1380.2.a.h.1.2', 'twist_class_level': 1380, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46653537
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 6349, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029140649908980, 'source_is_minimal': False, 'source_label': '6900.2.f.i.6349.1', 'source_level': 6900, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050394816745516, 'target_is_minimal': False, 'target_label': '4140.2.a.o.1.2', 'target_level': 4140, 'twist_class_label': '1380.2.a.h.1.2', 'twist_class_level': 1380, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46653538
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 6349, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36029140649908980, 'source_is_minimal': False, 'source_label': '6900.2.f.i.6349.1', 'source_level': 6900, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 184647584755750288, 'target_is_minimal': False, 'target_label': '5520.2.a.bp.1.1', 'target_level': 5520, 'twist_class_label': '1380.2.a.h.1.2', 'twist_class_level': 1380, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4321175
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029140649908980, 'p': 2}
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id: 4321176
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 36029140649908980, 'p': 3}
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id: 4321177
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029140649908980, 'p': 5}
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id: 4321178
{'charpoly_factorization': [[[121, 0, 26, 0, 1], 1]], 'hecke_orbit_code': 36029140649908980, 'p': 7}
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id: 4321179
{'charpoly_factorization': [[[-26, 2, 1], 2]], 'hecke_orbit_code': 36029140649908980, 'p': 11}
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id: 4321180
{'charpoly_factorization': [[[484, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 36029140649908980, 'p': 13}
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id: 4321181
{'charpoly_factorization': [[[1089, 0, 78, 0, 1], 1]], 'hecke_orbit_code': 36029140649908980, 'p': 17}
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id: 4321182
{'charpoly_factorization': [[[-2, -2, 1], 2]], 'hecke_orbit_code': 36029140649908980, 'p': 19}
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id: 4321183
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 36029140649908980, 'p': 23}
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id: 4321184
{'charpoly_factorization': [[[-23, 4, 1], 2]], 'hecke_orbit_code': 36029140649908980, 'p': 29}
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id: 4321185
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 36029140649908980, 'p': 31}
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id: 4321186
{'charpoly_factorization': [[[11449, 0, 218, 0, 1], 1]], 'hecke_orbit_code': 36029140649908980, 'p': 37}
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id: 4321187
{'charpoly_factorization': [[[33, 12, 1], 2]], 'hecke_orbit_code': 36029140649908980, 'p': 41}
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id: 4321188
{'charpoly_factorization': [[[12, 0, 1], 2]], 'hecke_orbit_code': 36029140649908980, 'p': 43}
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id: 4321189
{'charpoly_factorization': [[[4, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 36029140649908980, 'p': 47}
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id: 4321190
{'charpoly_factorization': [[[5041, 0, 158, 0, 1], 1]], 'hecke_orbit_code': 36029140649908980, 'p': 53}
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id: 4321191
{'charpoly_factorization': [[[-23, -4, 1], 2]], 'hecke_orbit_code': 36029140649908980, 'p': 59}
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id: 4321192
{'charpoly_factorization': [[[78, 18, 1], 2]], 'hecke_orbit_code': 36029140649908980, 'p': 61}
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id: 4321193
{'charpoly_factorization': [[[25, 0, 1], 2]], 'hecke_orbit_code': 36029140649908980, 'p': 67}
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id: 4321194
{'charpoly_factorization': [[[-143, 4, 1], 2]], 'hecke_orbit_code': 36029140649908980, 'p': 71}
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id: 4321195
{'charpoly_factorization': [[[27556, 0, 344, 0, 1], 1]], 'hecke_orbit_code': 36029140649908980, 'p': 73}
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id: 4321196
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 36029140649908980, 'p': 79}
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id: 4321197
{'charpoly_factorization': [[[5041, 0, 158, 0, 1], 1]], 'hecke_orbit_code': 36029140649908980, 'p': 83}
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id: 4321198
{'charpoly_factorization': [[[-72, -12, 1], 2]], 'hecke_orbit_code': 36029140649908980, 'p': 89}
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id: 4321199
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 36029140649908980, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 9, 'label': '6900.2.f.i', 'level': 6900, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 52086823
{'hecke_orbit_code': 36029140649908980, 'n': 1, 'trace_an': 4}
-
id: 52086824
{'hecke_orbit_code': 36029140649908980, 'n': 2, 'trace_an': 0}
-
id: 52086825
{'hecke_orbit_code': 36029140649908980, 'n': 3, 'trace_an': 0}
-
id: 52086826
{'hecke_orbit_code': 36029140649908980, 'n': 4, 'trace_an': 0}
-
id: 52086827
{'hecke_orbit_code': 36029140649908980, 'n': 5, 'trace_an': 0}
-
id: 52086828
{'hecke_orbit_code': 36029140649908980, 'n': 6, 'trace_an': 0}
-
id: 52086829
{'hecke_orbit_code': 36029140649908980, 'n': 7, 'trace_an': 0}
-
id: 52086830
{'hecke_orbit_code': 36029140649908980, 'n': 8, 'trace_an': 0}
-
id: 52086831
{'hecke_orbit_code': 36029140649908980, 'n': 9, 'trace_an': -4}
-
id: 52086832
{'hecke_orbit_code': 36029140649908980, 'n': 10, 'trace_an': 0}
-
id: 52086833
{'hecke_orbit_code': 36029140649908980, 'n': 11, 'trace_an': -4}
-
id: 52086834
{'hecke_orbit_code': 36029140649908980, 'n': 12, 'trace_an': 0}
-
id: 52086835
{'hecke_orbit_code': 36029140649908980, 'n': 13, 'trace_an': 0}
-
id: 52086836
{'hecke_orbit_code': 36029140649908980, 'n': 14, 'trace_an': 0}
-
id: 52086837
{'hecke_orbit_code': 36029140649908980, 'n': 15, 'trace_an': 0}
-
id: 52086838
{'hecke_orbit_code': 36029140649908980, 'n': 16, 'trace_an': 0}
-
id: 52086839
{'hecke_orbit_code': 36029140649908980, 'n': 17, 'trace_an': 0}
-
id: 52086840
{'hecke_orbit_code': 36029140649908980, 'n': 18, 'trace_an': 0}
-
id: 52086841
{'hecke_orbit_code': 36029140649908980, 'n': 19, 'trace_an': 4}
-
id: 52086842
{'hecke_orbit_code': 36029140649908980, 'n': 20, 'trace_an': 0}
-
id: 52086843
{'hecke_orbit_code': 36029140649908980, 'n': 21, 'trace_an': -4}
-
id: 52086844
{'hecke_orbit_code': 36029140649908980, 'n': 22, 'trace_an': 0}
-
id: 52086845
{'hecke_orbit_code': 36029140649908980, 'n': 23, 'trace_an': 0}
-
id: 52086846
{'hecke_orbit_code': 36029140649908980, 'n': 24, 'trace_an': 0}
-
id: 52086847
{'hecke_orbit_code': 36029140649908980, 'n': 25, 'trace_an': 0}
-
id: 52086848
{'hecke_orbit_code': 36029140649908980, 'n': 26, 'trace_an': 0}
-
id: 52086849
{'hecke_orbit_code': 36029140649908980, 'n': 27, 'trace_an': 0}
-
id: 52086850
{'hecke_orbit_code': 36029140649908980, 'n': 28, 'trace_an': 0}
-
id: 52086851
{'hecke_orbit_code': 36029140649908980, 'n': 29, 'trace_an': -8}
-
id: 52086852
{'hecke_orbit_code': 36029140649908980, 'n': 30, 'trace_an': 0}
-
id: 52086853
{'hecke_orbit_code': 36029140649908980, 'n': 31, 'trace_an': -4}
-
id: 52086854
{'hecke_orbit_code': 36029140649908980, 'n': 32, 'trace_an': 0}
-
id: 52086855
{'hecke_orbit_code': 36029140649908980, 'n': 33, 'trace_an': 0}
-
id: 52086856
{'hecke_orbit_code': 36029140649908980, 'n': 34, 'trace_an': 0}
-
id: 52086857
{'hecke_orbit_code': 36029140649908980, 'n': 35, 'trace_an': 0}
-
id: 52086858
{'hecke_orbit_code': 36029140649908980, 'n': 36, 'trace_an': 0}
-
id: 52086859
{'hecke_orbit_code': 36029140649908980, 'n': 37, 'trace_an': 0}
-
id: 52086860
{'hecke_orbit_code': 36029140649908980, 'n': 38, 'trace_an': 0}
-
id: 52086861
{'hecke_orbit_code': 36029140649908980, 'n': 39, 'trace_an': -20}
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