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mf_newforms • Show schema
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{'Nk2': 3720, 'analytic_conductor': 7.426087387979075, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [930, 2, [311, 187, 871], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 559, 'dim': 6, 'field_disc': -11669056, 'field_disc_factorization': [[-1, 1], [2, 6], [7, 2], [61, 2]], 'field_poly': [58, 54, -1, 8, 7, -2, 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': [[7, [4, 0, 1]], [11, [8, 13, -8, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029003210949538, 'hecke_ring_generator_nbound': 11, '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': 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mf_hecke_cc • Show schema
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'char_orbit_index': 4, 'conrey_index': 559, 'dual_conrey_index': 559, 'dual_embedding_index': 3, 'dual_embedding_m': 3, 'embedding_index': 6, 'embedding_m': 6, 'embedding_root_imag': 2.1526410738775303, 'embedding_root_real': 1.6050920649416858, 'hecke_orbit': 9, 'hecke_orbit_code': 36029003210949538, 'label': '930.2.d.i.559.6', 'level': 930, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3720, 'analytic_conductor': 7.426087387979075, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [930, 2, [311, 187, 871], [2, 1, 2]], 'conrey_index': 559, 'cusp_dim': 184, 'dim': 28, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 206191985570, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 6, 6], 'label': '930.2.d', 'level': 930, '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': True, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'mf_dim': 200, 'mf_new_dim': 28, 'num_forms': 9, 'prim_orbit_index': 2, 'relative_dim': 28, 'sturm_bound': 384, 'trace_bound': 11, 'trace_display': [0, 0, 8, 0], 'traces': [28, 0, 0, -28, 8, 0, 0, 0, -28, 0, -8, 0, 0, -8, -8, 28, 0, 0, 16, -8, 0, 0, 0, 0, 0, 24, 0, 0, -16, 0, 0, 0, 0, -16, 0, 28, 0, 0, 0, 0, 24, 0, 0, 8, -8, 8, 0, 0, -20, -16, 8, 0, 0, 0, -24, 8, 0, 0, 24, 8, 0, 0, 0, -28, -40, -16, 0, 0, 16, 0, 32, 0, 0, -8, 32, -16, 0, 0, -48, 8, 28, 0, 0, 0, -24, 16, 0, 0, -72, 0, 32, 0, 0, 56, -24, 0, 0, 0, 8, 0, 0, 0, 0, -24, -40, 40, 0, 0, 56, -56, -16, 0, 0, 0, 32, 16, 0, 0, -48, 0, 108, 0, 0, 0, 8, 8, 0, 0, 8, -32, 136, 0, 0, 32, 8, 16, 0, 0, -136, 0, 16, 0, 0, -28, -56, -32, 0, 0, -80, -16, -16, 0, 0, 32, 0, 0, 0, 0, 16, 0, 112, 0, 0, -24, -24, -16, 0, 0, 4, -16, -16, 0, 0, 8, -136, -8, 0, 0, 8, 8, 112, 0, 0, -8, -40, -12, 0, 0, 0, -52, 160, 0, 0, 80, 12, 20, 0, 0, -64, 16, 32, 0, 0, -8, -56, 56, 0, 0, 48, -32, -24, 0, 0, -40, -128, 0, 0, 0, 16, 24, 48, 0, 0, -8, 0, 0, 0, 0, -32, -16, 64, 0, 0, -24, -36, -24, 0, 0, 80, -8, 104, 0, 0, 0, -72, 16, 0, 0, -24, -84, 8, 0, 0, -136, -56, 28, 0, 0, 64, 40, 16, 0, 0, 16, 16, 112, 0, 0, 0, 0, 48, 0, 0, 112, 8, -16, 0, 0, 0, 0, -24, 0, 0, -32, -24, 72, 0, 0, 20, 16, -48, 0, 0, 32, 24, 8, 0, 0, -160, -32, -32, 0, 0, 16, -96, 16, 0, 0, 32, 0, -160, 0, 0, -8, 0, 48, 0, 0, 48, -8, 64, 0, 0, -28, -88, 0, 0, 0, 64, -12, 88, 0, 0, -8, -8, 0, 0, 0, -144, 24, 0, 0, 0, -16, -16, -16, 0, 0, 8, 0, 0, 0, 0, 32, 92, 72, 0, 0, 32, 0, 156, 0, 0, -32, -64, -8, 0, 0, -24, 16, -64, 0, 0, 64, 32, -56, 0, 0, 48, 24, -56, 0, 0, 0, -40, -144, 0, 0, 64, 56, 176, 0, 0, -136, 16, -8, 0, 0, 80, 0, -88, 0, 0, 0, 8, -48, 0, 0, 40, 32, 16, 0, 0, -8, -40, 24, 0, 0, -56, 40, -184, 0, 0, -40, 80, 48, 0, 0, -80, 56, -32, 0, 0, 0, 16, -56, 0, 0, -176, 56, 20, 0, 0, 16, 80, -56, 0, 0, 8, 16, 192, 0, 0, -8, 0, 0, 0, 0, -8, -32, 96, 0, 0, -16, 0, -96, 0, 0, 48, -152, 32, 0, 0, 56, 68, 48, 0, 0, 208, 0, -336, 0, 0, -108, -64, 0, 0, 0, -16, -16, 280, 0, 0, 96, 24, 0, 0, 0, 72, -8, 64, 0, 0, -8, -24, 64, 0, 0, 32, 12, 0, 0, 0, 0, 80, -8, 0, 0, -48, 32, -40, 0, 0, -136, 16, 56, 0, 0, -116, 0, -24, 0, 0, 8, -24, -32, 0, 0, -296, -8, -8, 0, 0, -16, -56, 0, 0, 0, 0, 16, 96, 0, 0, 88, -16, 136, 0, 0, -32, 0, -128, 0, 0, -16, -56, -48, 0, 0, 248, -64, -120, 0, 0, 128, -64, 28, 0, 0, 64, 56, -192, 0, 0, 32, 40, -56, 0, 0, 32, -8, 48, 0, 0, 16, -136, 80, 0, 0, 0, 16, 8, 0, 0, 16, 72, -64, 0, 0, 160, -64, -64, 0, 0, 192, -48, -32, 0, 0, -72, 0, -16, 0, 0, 0, 16, 64, 0, 0, -176, 0, -176, 0, 0, -16, 200, -16, 0, 0, -32, 0, 104, 0, 0, -112, 88, -32, 0, 0, -128, 8, -16, 0, 0, -80, 56, 24, 0, 0, -56, 24, -8, 0, 0, 16, 168, 8, 0, 0, 56, 28, 304, 0, 0, -32, -32, -4, 0, 0, 16, 16, -80, 0, 0, 16, 64, -224, 0, 0, -240, 16, 32, 0, 0, 144, 32, -8, 0, 0, -96, 136, -192, 0, 0, 8, 0, 96, 0, 0, 224, -24, 48, 0, 0, 16, 228, -8, 0, 0, 0, -8, -112, 0, 0, -112, 256, 0, 0, 0, -28, -40, -224, 0, 0, -56, 104, 8, 0, 0, 24, 40, -80, 0, 0, 12, 380, -24, 0, 0, -96, -48, -16, 0, 0, 80, 32, 0, 0, 0, 96, 52, 40, 0, 0, -160, 24, -136, 0, 0, -128, -144, -224, 0, 0, -16, 16, -80, 0, 0, -112, -12, -96, 0, 0, -20, 32, 16, 0, 0, -48, -176, -128, 0, 0, -8, -144, 64, 0, 0, 48, -16, 72, 0, 0, -32, 80, 0, 0, 0, 232, 0, -168, 0, 0, 176, 152, 8, 0, 0, -32, 56, -32, 0, 0, -56, -100, 240, 0, 0, -96, -32, -16, 0, 0, -64, -128, -48, 0, 0, -80, 32, 4, 0, 0, 24, 216, -56, 0, 0, 160, -48, -448, 0, 0, 208, 24, 40, 0, 0, 408, 128, 224, 0, 0, 0, -20, 64, 0, 0, 320, -48, -240, 0, 0, -128, -152, -16, 0, 0, -64, -24, 56, 0, 0, -48, 112, -120, 0, 0, 48, 56, -8, 0, 0, 32, 24, 8, 0, 0, -48, 0, -160, 0, 0, 0, 32, 104, 0, 0, 0, 168, -256, 0, 0, 64, 68, 32, 0, 0, 64, 16, -128, 0, 0, -64, 16, -104, 0, 0, 216, 0, -56, 0, 0, 128, -184, 24, 0, 0, 184, 36, -448, 0, 0, 24, 40, -104, 0, 0, -48, 88, 16, 0, 0, -40, 296, -80, 0, 0, 304, 8, 28, 0, 0, -104, 32, -120, 0, 0, -168, -124, 40, 0, 0, 216, -104, 0, 0, 0, 376, 72, -56, 0, 0, -16, -176, -128, 0, 0, 192, 56, -144, 0, 0, 200, -208, 24, 0, 0, 16, 84], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46619565
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 559, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 36029003210949538, 'source_is_minimal': True, 'source_label': '930.2.d.i.559.6', 'source_level': 930, 'target_conrey_index': 559, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 36029003210949538, 'target_is_minimal': True, 'target_label': '930.2.d.i.559.6', 'target_level': 930, 'twist_class_label': '930.2.d.i.559.3', 'twist_class_level': 930, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46619566
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 559, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 36029003210949538, 'source_is_minimal': True, 'source_label': '930.2.d.i.559.6', 'source_level': 930, 'target_conrey_index': 559, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532602838321894, 'target_is_minimal': False, 'target_label': '2790.2.d.j.559.1', 'target_level': 2790, 'twist_class_label': '930.2.d.i.559.3', 'twist_class_level': 930, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46619567
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 559, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 36029003210949538, 'source_is_minimal': True, 'source_label': '930.2.d.i.559.6', 'source_level': 930, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 270215977675788842, 'target_is_minimal': False, 'target_label': '4650.2.a.ci.1.3', 'target_level': 4650, 'twist_class_label': '930.2.d.i.559.3', 'twist_class_level': 930, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46619568
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 559, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 36029003210949538, 'source_is_minimal': True, 'source_label': '930.2.d.i.559.6', 'source_level': 930, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 301741175067382314, 'target_is_minimal': False, 'target_label': '4650.2.a.cp.1.3', 'target_level': 4650, 'twist_class_label': '930.2.d.i.559.3', 'twist_class_level': 930, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46619569
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 559, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 36029003210949538, 'source_is_minimal': True, 'source_label': '930.2.d.i.559.6', 'source_level': 930, 'target_conrey_index': 559, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36029003210949538, 'target_is_minimal': True, 'target_label': '930.2.d.i.559.3', 'target_level': 930, 'twist_class_label': '930.2.d.i.559.3', 'twist_class_level': 930, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46619570
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 559, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 36029003210949538, 'source_is_minimal': True, 'source_label': '930.2.d.i.559.6', 'source_level': 930, 'target_conrey_index': 559, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532602838321894, 'target_is_minimal': False, 'target_label': '2790.2.d.j.559.4', 'target_level': 2790, 'twist_class_label': '930.2.d.i.559.3', 'twist_class_level': 930, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1502350
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 36029003210949538, 'p': 2}
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id: 1502351
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 36029003210949538, 'p': 3}
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id: 1502352
{'charpoly_factorization': [[[125, 100, 60, 36, 12, 4, 1], 1]], 'hecke_orbit_code': 36029003210949538, 'p': 5}
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id: 1502353
{'charpoly_factorization': [[[4, 0, 1], 3]], 'hecke_orbit_code': 36029003210949538, 'p': 7}
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id: 1502354
{'charpoly_factorization': [[[8, 13, -8, 1], 2]], 'hecke_orbit_code': 36029003210949538, 'p': 11}
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id: 1502355
{'charpoly_factorization': [[[196, 0, 345, 0, 50, 0, 1], 1]], 'hecke_orbit_code': 36029003210949538, 'p': 13}
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id: 1502356
{'charpoly_factorization': [[[16, 0, 1209, 0, 74, 0, 1], 1]], 'hecke_orbit_code': 36029003210949538, 'p': 17}
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id: 1502357
{'charpoly_factorization': [[[-4, -35, -2, 1], 2]], 'hecke_orbit_code': 36029003210949538, 'p': 19}
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id: 1502358
{'charpoly_factorization': [[[256, 0, 960, 0, 68, 0, 1], 1]], 'hecke_orbit_code': 36029003210949538, 'p': 23}
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id: 1502359
{'charpoly_factorization': [[[-16, -32, -2, 1], 2]], 'hecke_orbit_code': 36029003210949538, 'p': 29}
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id: 1502360
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 36029003210949538, 'p': 31}
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id: 1502361
{'charpoly_factorization': [[[16384, 0, 5632, 0, 164, 0, 1], 1]], 'hecke_orbit_code': 36029003210949538, 'p': 37}
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id: 1502362
{'charpoly_factorization': [[[-2, 1], 6]], 'hecke_orbit_code': 36029003210949538, 'p': 41}
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id: 1502363
{'charpoly_factorization': [[[256, 0, 5776, 0, 152, 0, 1], 1]], 'hecke_orbit_code': 36029003210949538, 'p': 43}
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id: 1502364
{'charpoly_factorization': [[[16, 0, 1209, 0, 74, 0, 1], 1]], 'hecke_orbit_code': 36029003210949538, 'p': 47}
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id: 1502365
{'charpoly_factorization': [[[64, 0, 1776, 0, 188, 0, 1], 1]], 'hecke_orbit_code': 36029003210949538, 'p': 53}
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id: 1502366
{'charpoly_factorization': [[[280, -76, -2, 1], 2]], 'hecke_orbit_code': 36029003210949538, 'p': 59}
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id: 1502367
{'charpoly_factorization': [[[1372, -91, -14, 1], 2]], 'hecke_orbit_code': 36029003210949538, 'p': 61}
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id: 1502368
{'charpoly_factorization': [[[425104, 0, 21089, 0, 286, 0, 1], 1]], 'hecke_orbit_code': 36029003210949538, 'p': 67}
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id: 1502369
{'charpoly_factorization': [[[20, -79, 8, 1], 2]], 'hecke_orbit_code': 36029003210949538, 'p': 71}
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id: 1502370
{'charpoly_factorization': [[[153664, 0, 18992, 0, 268, 0, 1], 1]], 'hecke_orbit_code': 36029003210949538, 'p': 73}
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id: 1502371
{'charpoly_factorization': [[[28, -7, -6, 1], 2]], 'hecke_orbit_code': 36029003210949538, 'p': 79}
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id: 1502372
{'charpoly_factorization': [[[59536, 0, 32513, 0, 370, 0, 1], 1]], 'hecke_orbit_code': 36029003210949538, 'p': 83}
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id: 1502373
{'charpoly_factorization': [[[320, -144, -2, 1], 2]], 'hecke_orbit_code': 36029003210949538, 'p': 89}
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id: 1502374
{'charpoly_factorization': [[[55696, 0, 6185, 0, 150, 0, 1], 1]], 'hecke_orbit_code': 36029003210949538, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 9, 'label': '930.2.d.i', 'level': 930, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 51989299
{'hecke_orbit_code': 36029003210949538, 'n': 1, 'trace_an': 6}
-
id: 51989300
{'hecke_orbit_code': 36029003210949538, 'n': 2, 'trace_an': 0}
-
id: 51989301
{'hecke_orbit_code': 36029003210949538, 'n': 3, 'trace_an': 0}
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id: 51989302
{'hecke_orbit_code': 36029003210949538, 'n': 4, 'trace_an': -6}
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id: 51989303
{'hecke_orbit_code': 36029003210949538, 'n': 5, 'trace_an': -4}
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id: 51989304
{'hecke_orbit_code': 36029003210949538, 'n': 6, 'trace_an': 6}
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id: 51989305
{'hecke_orbit_code': 36029003210949538, 'n': 7, 'trace_an': 0}
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id: 51989306
{'hecke_orbit_code': 36029003210949538, 'n': 8, 'trace_an': 0}
-
id: 51989307
{'hecke_orbit_code': 36029003210949538, 'n': 9, 'trace_an': -6}
-
id: 51989308
{'hecke_orbit_code': 36029003210949538, 'n': 10, 'trace_an': 0}
-
id: 51989309
{'hecke_orbit_code': 36029003210949538, 'n': 11, 'trace_an': 16}
-
id: 51989310
{'hecke_orbit_code': 36029003210949538, 'n': 12, 'trace_an': 0}
-
id: 51989311
{'hecke_orbit_code': 36029003210949538, 'n': 13, 'trace_an': 0}
-
id: 51989312
{'hecke_orbit_code': 36029003210949538, 'n': 14, 'trace_an': -12}
-
id: 51989313
{'hecke_orbit_code': 36029003210949538, 'n': 15, 'trace_an': 0}
-
id: 51989314
{'hecke_orbit_code': 36029003210949538, 'n': 16, 'trace_an': 6}
-
id: 51989315
{'hecke_orbit_code': 36029003210949538, 'n': 17, 'trace_an': 0}
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