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mf_newforms • Show schema
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{'Nk2': 3300, 'analytic_conductor': 6.587658166755632, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 15, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 4, 'char_parity': 1, 'char_values': [825, 4, [551, 727, 376], [2, 3, 4]], 'cm_discs': [], 'conrey_index': 518, 'conrey_indexes': [518, 782], 'dim': 4, 'field_disc': 2304, 'field_disc_factorization': [[2, 8], [3, 2]], 'field_poly': [9, 0, 0, 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, [9, 0, 0, 0, 1]], [7, [144, 0, 0, 0, 1]], [13, [144, 0, 0, 0, 1]], [29, [-6, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511486110434105, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3300, 'analytic_conductor': 6.587658166755632, 'char_conductor': 15, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 4, 'char_parity': 1, 'char_values': [825, 4, [551, 727, 376], [2, 3, 4]], 'conrey_index': 518, 'cusp_dim': 216, 'dim': 120, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 13, 29], 'hecke_orbit_code': 687228322617, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 16, 16, 28, 28], 'label': '825.2.k', 'level': 825, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11], 'level_radical': 165, 'mf_dim': 264, 'mf_new_dim': 120, 'num_forms': 12, 'prim_orbit_index': 5, 'relative_dim': 60, 'sturm_bound': 240, 'trace_bound': 14, 'trace_display': [0, 2, 0, 0], 'traces': [120, 0, 2, 0, 0, 16, 0, 0, 0, 0, 0, -8, 16, 0, 0, -136, 0, 12, 0, 0, 32, 0, 0, 0, 0, 0, -4, -32, 0, 0, 24, 0, -2, 0, 0, -48, 36, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 4, 0, 0, -32, -88, 0, 0, 0, 0, -40, -8, 0, 0, 40, 0, -4, 0, 0, 0, 28, 0, 0, 0, 0, -48, 0, 0, 0, -32, 0, 40, 0, 0, 164, -8, 0, 0, 0, 0, -16, 24, 0, 0, -24, 0, -58, 0, 0, -256, -76, 0, 0, 0, 0, 0, 40, 0, 0, -176, 0, -108, 0, 0, 60, 136, 0, 0, 0, 0, 16, -32, 0, 0, -120, 0, -32, 0, 0, -144, 56, 0, 0, 0, 0, 8, -80, 0, 0, 16, 0, 100, 0, 0, -52, 96, 0, 0, 0, 0, -46, 152, 0, 0, 248, 0, 92, 0, 0, 504, -68, 0, 0, 0, 0, 204, 88, 0, 0, 112, 0, 32, 0, 0, -16, -144, 0, 0, 0, 0, -30, 32, 0, 0, -280, 0, 32, 0, 0, 120, -16, 0, 0, 0, 0, 20, -112, 0, 0, 392, 0, -60, 0, 0, -156, 8, 0, 0, 0, 0, 158, -128, 0, 0, -40, 0, -66, 0, 0, -408, -136, 0, 0, 0, 0, -180, -68, 0, 0, 16, 0, -32, 0, 0, -48, 184, 0, 0, 0, 0, -60, -8, 0, 0, -360, 0, 102, 0, 0, 144, -64, 0, 0, 0, 0, -296, 36, 0, 0, 392, 0, -176, 0, 0, -208, -240, 0, 0, 0, 0, 90, -96, 0, 0, 128, 0, -88, 0, 0, 376, 232, 0, 0, 0, 0, 40, 56, 0, 0, 32, 0, 48, 0, 0, 128, 72, 0, 0, 0, 0, 44, -8, 0, 0, 120, 0, 92, 0, 0, -8, 184, 0, 0, 0, 0, -32, 140, 0, 0, 400, 0, 104, 0, 0, 224, 112, 0, 0, 0, 0, 196, 168, 0, 0, -288, 0, 66, 0, 0, -200, 24, 0, 0, 0, 0, -176, -144, 0, 0, -352, 0, 144, 0, 0, -144, -48, 0, 0, 0, 0, 48, -120, 0, 0, 192, 0, -2, 0, 0, -56, 28, 0, 0, 0, 0, 340, -280, 0, 0, -416, 0, 40, 0, 0, 136, -328, 0, 0, 0, 0, -212, 72, 0, 0, -544, 0, -92, 0, 0, 80, 88, 0, 0, 0, 0, -84, 64, 0, 0, -576, 0, 80, 0, 0, -148, -216, 0, 0, 0, 0, -220, 64, 0, 0, 240, 0, -136, 0, 0, -408, -224, 0, 0, 0, 0, 132, 220, 0, 0, -176, 0, -296, 0, 0, -120, 8, 0, 0, 0, 0, -52, 192, 0, 0, 32, 0, -4, 0, 0, 360, 0, 0, 0, 0, 0, 56, -140, 0, 0, 64, 0, 120, 0, 0, -352, 520, 0, 0, 0, 0, -60, 128, 0, 0, 432, 0, 204, 0, 0, 144, -140, 0, 0, 0, 0, 432, 256, 0, 0, -272, 0, -168, 0, 0, -8, 48, 0, 0, 0, 0, -254, -80, 0, 0, 352, 0, -144, 0, 0, 600, -120, 0, 0, 0, 0, 136, 40, 0, 0, 768, 0, -92, 0, 0, -212, 192, 0, 0, 0, 0, 370, 80, 0, 0, -40, 0, -86, 0, 0, -544, -328, 0, 0, 0, 0, -232, -208, 0, 0, 384, 0, -20, 0, 0, -144, 104, 0, 0, 0, 0, -108, -328, 0, 0, 8, 0, 94, 0, 0, 296, -44, 0, 0, 0, 0, -468, -16, 0, 0, -512, 0, -176, 0, 0, 224, -432, 0, 0, 0, 0, 172, -176, 0, 0, -248, 0, -182, 0, 0, -232, 208, 0, 0, 0, 0, 8, 208, 0, 0, 256, 0, 264, 0, 0, 364, 440, 0, 0, 0, 0, 56, -440, 0, 0, -64, 0, 184, 0, 0, -312, 240, 0, 0, 0, 0, -40, 140, 0, 0, 912, 0, 240, 0, 0, 48, -232, 0, 0, 0, 0, 176, 368, 0, 0, -24, 0, 184, 0, 0, 1056, 48, 0, 0, 0, 0, -344, 88, 0, 0, 696, 0, 148, 0, 0, 320, -32, 0, 0, 0, 0, 142, -360, 0, 0, 56, 0, -12, 0, 0, -200, -32, 0, 0, 0, 0, 408, -464, 0, 0, -1088, 0, 236, 0, 0, 712, -392, 0, 0, 0, 0, -180, 272, 0, 0, -560, 0, -304, 0, 0, -16, 412, 0, 0, 0, 0, -304, 352, 0, 0, -352, 0, 72, 0, 0, 32, 16, 0, 0, 0, 0, -148, 112, 0, 0, 8, 0, -38, 0, 0, -968, -440, 0, 0, 0, 0, -136, -240, 0, 0, 1216, 0, -388, 0, 0, 500, 280, 0, 0, 0, 0, 44, 232, 0, 0, 96, 0, 96, 0, 0, -776, 216, 0, 0, 0, 0, 120, 96, 0, 0, -1264, 0, 120, 0, 0, -560, 520, 0, 0, 0, 0, -188, 120, 0, 0, 136, 0, 328, 0, 0, -480, -192, 0, 0, 0, 0, 436, 180, 0, 0, -1456, 0, -252, 0, 0, -616, -280, 0, 0, 0, 0, -68, -592, 0, 0, 456, 0, -244, 0, 0, 336, 0, 0, 0, 0, 0, 388, -136, 0, 0, 112, 0, -88, 0, 0, -80, -176, 0, 0, 0, 0, 370, -144, 0, 0, 104, 0, -58, 0, 0, 800, 16, 0, 0, 0, 0, -100, -72, 0, 0, 720, 0, -432, 0, 0, -128, 448, 0, 0, 0, 0, -296, -192, 0, 0, 352, 0, 256, 0, 0, -704, -344, 0, 0, 0, 0, -488, 0, 0, 0, -464, 0, 24, 0, 0, -424, -584, 0, 0, 0, 0, 84, 344, 0, 0, 320, 0, -164, 0, 0, 728, 128, 0, 0, 0, 0, 236, 304, 0, 0, -48, 0, 328, 0, 0, -656, 8, 0, 0, 0, 0, 120, -64, 0, 0, -8, 0, 100, 0, 0, -856, 200, 0, 0, 0, 0, -32, -32, 0, 0, -992, 0, -24, 0, 0, 384, 192, 0, 0, 0, 0, 248, 448, 0, 0, -296, 0, 122, 0, 0, 416, 248, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43431756
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 782, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511486110434105, 'source_is_minimal': True, 'source_label': '825.2.k.d.782.2', 'source_level': 825, 'target_conrey_index': 782, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511486110434105, 'target_is_minimal': True, 'target_label': '825.2.k.d.782.2', 'target_level': 825, 'twist_class_label': '825.2.k.d.518.1', 'twist_class_level': 825, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43431757
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 782, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511486110434105, 'source_is_minimal': True, 'source_label': '825.2.k.d.782.2', 'source_level': 825, 'target_conrey_index': 782, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015085737804601, 'target_is_minimal': True, 'target_label': '825.2.k.e.782.1', 'target_level': 825, 'twist_class_label': '825.2.k.d.518.1', 'twist_class_level': 825, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43431758
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 782, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511486110434105, 'source_is_minimal': True, 'source_label': '825.2.k.d.782.2', 'source_level': 825, 'target_conrey_index': 518, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015085737804601, 'target_is_minimal': True, 'target_label': '825.2.k.e.518.2', 'target_level': 825, 'twist_class_label': '825.2.k.d.518.1', 'twist_class_level': 825, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43431759
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 782, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511486110434105, 'source_is_minimal': True, 'source_label': '825.2.k.d.782.2', 'source_level': 825, 'target_conrey_index': 518, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015085737804601, 'target_is_minimal': True, 'target_label': '825.2.k.e.518.1', 'target_level': 825, 'twist_class_label': '825.2.k.d.518.1', 'twist_class_level': 825, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43431760
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 782, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511486110434105, 'source_is_minimal': True, 'source_label': '825.2.k.d.782.2', 'source_level': 825, 'target_conrey_index': 782, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511486110434105, 'target_is_minimal': True, 'target_label': '825.2.k.d.782.1', 'target_level': 825, 'twist_class_label': '825.2.k.d.518.1', 'twist_class_level': 825, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43431761
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 782, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511486110434105, 'source_is_minimal': True, 'source_label': '825.2.k.d.782.2', 'source_level': 825, 'target_conrey_index': 518, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511486110434105, 'target_is_minimal': True, 'target_label': '825.2.k.d.518.1', 'target_level': 825, 'twist_class_label': '825.2.k.d.518.1', 'twist_class_level': 825, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43431762
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 782, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511486110434105, 'source_is_minimal': True, 'source_label': '825.2.k.d.782.2', 'source_level': 825, 'target_conrey_index': 518, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511486110434105, 'target_is_minimal': True, 'target_label': '825.2.k.d.518.2', 'target_level': 825, 'twist_class_label': '825.2.k.d.518.1', 'twist_class_level': 825, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 43431763
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 782, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511486110434105, 'source_is_minimal': True, 'source_label': '825.2.k.d.782.2', 'source_level': 825, 'target_conrey_index': 782, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015085737804601, 'target_is_minimal': True, 'target_label': '825.2.k.e.782.2', 'target_level': 825, 'twist_class_label': '825.2.k.d.518.1', 'twist_class_level': 825, '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: 1376050
{'charpoly_factorization': [[[9, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13511486110434105, 'p': 2}
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id: 1376051
{'charpoly_factorization': [[[9, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13511486110434105, 'p': 3}
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id: 1376052
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13511486110434105, 'p': 5}
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id: 1376053
{'charpoly_factorization': [[[144, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13511486110434105, 'p': 7}
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id: 1376054
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 13511486110434105, 'p': 11}
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id: 1376055
{'charpoly_factorization': [[[144, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13511486110434105, 'p': 13}
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id: 1376056
{'charpoly_factorization': [[[2304, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13511486110434105, 'p': 17}
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id: 1376057
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 13511486110434105, 'p': 19}
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id: 1376058
{'charpoly_factorization': [[[2304, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13511486110434105, 'p': 23}
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id: 1376059
{'charpoly_factorization': [[[-6, 1], 4]], 'hecke_orbit_code': 13511486110434105, 'p': 29}
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id: 1376060
{'charpoly_factorization': [[[-4, 1], 4]], 'hecke_orbit_code': 13511486110434105, 'p': 31}
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id: 1376061
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13511486110434105, 'p': 37}
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id: 1376062
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 13511486110434105, 'p': 41}
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id: 1376063
{'charpoly_factorization': [[[11664, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13511486110434105, 'p': 43}
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id: 1376064
{'charpoly_factorization': [[[2304, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13511486110434105, 'p': 47}
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id: 1376065
{'charpoly_factorization': [[[2304, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13511486110434105, 'p': 53}
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id: 1376066
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13511486110434105, 'p': 59}
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id: 1376067
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 13511486110434105, 'p': 61}
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id: 1376068
{'charpoly_factorization': [[[144, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13511486110434105, 'p': 67}
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id: 1376069
{'charpoly_factorization': [[[144, 0, 1], 2]], 'hecke_orbit_code': 13511486110434105, 'p': 71}
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id: 1376070
{'charpoly_factorization': [[[144, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13511486110434105, 'p': 73}
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id: 1376071
{'charpoly_factorization': [[[100, 0, 1], 2]], 'hecke_orbit_code': 13511486110434105, 'p': 79}
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id: 1376072
{'charpoly_factorization': [[[11664, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13511486110434105, 'p': 83}
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id: 1376073
{'charpoly_factorization': [[[12, 1], 4]], 'hecke_orbit_code': 13511486110434105, 'p': 89}
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id: 1376074
{'charpoly_factorization': [[[36864, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13511486110434105, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 11, 'hecke_orbit': 4, 'label': '825.2.k.d', 'level': 825, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 143877000
{'hecke_orbit_code': 13511486110434105, 'n': 1, 'trace_an': 4}
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id: 143877001
{'hecke_orbit_code': 13511486110434105, 'n': 2, 'trace_an': 0}
-
id: 143877002
{'hecke_orbit_code': 13511486110434105, 'n': 3, 'trace_an': 0}
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id: 143877003
{'hecke_orbit_code': 13511486110434105, 'n': 4, 'trace_an': 0}
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id: 143877004
{'hecke_orbit_code': 13511486110434105, 'n': 5, 'trace_an': 0}
-
id: 143877005
{'hecke_orbit_code': 13511486110434105, 'n': 6, 'trace_an': 0}
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id: 143877006
{'hecke_orbit_code': 13511486110434105, 'n': 7, 'trace_an': 0}
-
id: 143877007
{'hecke_orbit_code': 13511486110434105, 'n': 8, 'trace_an': 0}
-
id: 143877008
{'hecke_orbit_code': 13511486110434105, 'n': 9, 'trace_an': 0}
-
id: 143877009
{'hecke_orbit_code': 13511486110434105, 'n': 10, 'trace_an': 0}
-
id: 143877010
{'hecke_orbit_code': 13511486110434105, 'n': 11, 'trace_an': 0}
-
id: 143877011
{'hecke_orbit_code': 13511486110434105, 'n': 12, 'trace_an': 0}
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id: 143877012
{'hecke_orbit_code': 13511486110434105, 'n': 13, 'trace_an': 0}
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id: 143877013
{'hecke_orbit_code': 13511486110434105, 'n': 14, 'trace_an': -24}
-
id: 143877014
{'hecke_orbit_code': 13511486110434105, 'n': 15, 'trace_an': 0}
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id: 143877015
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