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mf_newforms • Show schema
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{'Nk2': 3564, 'analytic_conductor': 10.790218468667756, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 3, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': -1, 'char_values': [396, 2, [199, 353, 145], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 89, 'dim': 8, 'field_disc': 18339223834624, 'field_disc_factorization': [[2, 12], [7, 2], [11, 4], [79, 2]], 'field_poly': [13491, 5238, 1045, 862, 62, 22, 17, -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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 274928238988, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 576, 'hecke_ring_index_factorization': [[2, 6], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': 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mf_hecke_cc • Show schema
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-2.85803612125355, 'embedding_root_real': 2.9574548601717394, 'hecke_orbit': 1, 'hecke_orbit_code': 274928238988, 'label': '396.3.e.a.89.8', 'level': 396, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 3564, 'analytic_conductor': 10.790218468667756, 'char_conductor': 3, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': -1, 'char_values': [396, 2, [199, 353, 145], [2, 1, 2]], 'conrey_index': 89, 'cusp_dim': 132, 'dim': 8, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 274928238988, 'hecke_orbit_dims': [8], 'label': '396.3.e', 'level': 396, '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, 11], 'level_radical': 66, 'mf_dim': 156, 'mf_new_dim': 8, 'num_forms': 1, 'prim_orbit_index': 2, 'relative_dim': 8, 'sturm_bound': 216, 'trace_bound': 0, 'trace_display': [0, 0, 0, -16], 'traces': [8, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -200, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 400, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 624, 0, 0, 0, 0, 0, -808, 0, 0, 0, 0, 0, -648, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -576, 0, 0, 0, 0, 0, 576, 0, 0, 0, 0, 0, 496, 0, 0, 0, 0, 0, 704, 0, 0, 0, 0, 0, 536, 0, 0, 0, 0, 0, -440, 0, 0, 0, 0, 0, 1136, 0, 0, 0, 0, 0, -1472, 0, 0, 0, 0, 0, -976, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, -992, 0, 0, 0, 0, 0, 1264, 0, 0, 0, 0, 0, 1096, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 1632, 0, 0, 0, 0, 0, -2088, 0, 0, 0, 0, 0, -1312, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 1176, 0, 0, 0, 0, 0, -1512, 0, 0, 0, 0, 0, -624, 0, 0, 0, 0, 0, 616, 0, 0, 0, 0, 0, 1256, 0, 0, 0, 0, 0, 912, 0, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, 3096, 0, 0, 0, 0, 0, -2000, 0, 0, 0, 0, 0, -2256, 0, 0, 0, 0, 0, 880, 0, 0, 0, 0, 0, 808, 0, 0, 0, 0, 0, -400, 0, 0, 0, 0, 0, 472, 0, 0, 0, 0, 0, -1136, 0, 0, 0, 0, 0, 504, 0, 0, 0, 0, 0, 1088, 0, 0, 0, 0, 0, -616, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -1976, 0, 0, 0, 0, 0, -2304, 0, 0, 0, 0, 0, -1264, 0, 0, 0, 0, 0, 1520, 0, 0, 0, 0, 0, -1080, 0, 0, 0, 0, 0, 1792, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 3504, 0, 0, 0, 0, 0, 2120, 0, 0, 0, 0, 0, -440, 0, 0, 0, 0, 0, 2736, 0, 0, 0, 0, 0, -2744, 0, 0, 0, 0, 0, -1936, 0, 0, 0, 0, 0, 1224, 0, 0, 0, 0, 0, 2880, 0, 0, 0, 0, 0, -2560, 0, 0, 0, 0, 0, -2704, 0, 0, 0, 0, 0, -2368, 0, 0, 0, 0, 0, -848, 0, 0, 0, 0, 0, 880, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 1624, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -560, 0, 0, 0, 0, 0, -1880, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, -184, 0, 0, 0, 0, 0, 3336, 0, 0, 0, 0, 0, 1544, 0, 0, 0, 0, 0, 440, 0, 0, 0, 0, 0, 1160, 0, 0, 0, 0, 0, -704, 0, 0, 0, 0, 0, 1984, 0, 0, 0, 0, 0, -4336, 0, 0, 0, 0, 0, -3104, 0, 0, 0, 0, 0, 560, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 800, 0, 0, 0, 0, 0, 912, 0, 0, 0, 0, 0, -1160, 0, 0, 0, 0, 0, 1320, 0, 0, 0, 0, 0, 736, 0, 0, 0, 0, 0, 528, 0, 0, 0, 0, 0, -704, 0, 0, 0, 0, 0, -2704, 0, 0, 0, 0, 0, 2688, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -2384, 0, 0, 0, 0, 0, 3040, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, -704, 0, 0, 0, 0, 0, 2016, 0, 0, 0, 0, 0, 688, 0, 0, 0, 0, 0, -1288, 0, 0, 0, 0, 0, 664, 0, 0, 0, 0, 0, -1856, 0, 0, 0, 0, 0, 1448, 0, 0, 0, 0, 0, 936, 0, 0, 0, 0, 0, -1936, 0, 0, 0, 0, 0, -3744, 0, 0, 0, 0, 0, -1464, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, -3544, 0, 0, 0, 0, 0, 2904, 0, 0, 0, 0, 0, 1376, 0, 0, 0, 0, 0, -4528, 0, 0, 0, 0, 0, 1224, 0, 0, 0, 0, 0, -2064, 0, 0, 0, 0, 0, 5040, 0, 0, 0, 0, 0, 1120, 0, 0, 0, 0, 0, 5376, 0, 0, 0, 0, 0, 1000, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 2552, 0, 0, 0, 0, 0, -1008, 0, 0, 0, 0, 0, -1216, 0, 0, 0, 0, 0, 7072, 0, 0, 0, 0, 0, 952, 0, 0, 0, 0, 0, 704, 0, 0, 0, 0, 0, -7000, 0, 0, 0, 0, 0, -1936, 0, 0, 0, 0, 0, -2960, 0, 0, 0, 0, 0, -4592, 0, 0, 0, 0, 0, 1320, 0, 0, 0, 0, 0, -7040, 0, 0, 0, 0, 0, 8376, 0, 0, 0, 0, 0, 4536, 0, 0, 0, 0, 0, -4176, 0, 0, 0, 0, 0, -7008, 0, 0, 0, 0, 0, 2080, 0, 0, 0, 0, 0, 1168, 0, 0, 0, 0, 0, 4936, 0, 0, 0, 0, 0, -3808, 0, 0, 0, 0, 0, 1080, 0, 0, 0, 0, 0, -1056, 0, 0, 0, 0, 0, -368, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, 2888, 0, 0, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 2919111
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 274928238988, 'source_is_minimal': True, 'source_label': '396.3.e.a.89.8', 'source_level': 396, 'target_conrey_index': 89, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 274928238988, 'target_is_minimal': True, 'target_label': '396.3.e.a.89.8', 'target_level': 396, 'twist_class_label': '396.3.e.a.89.1', 'twist_class_level': 396, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 2919112
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 274928238988, 'source_is_minimal': True, 'source_label': '396.3.e.a.89.8', 'source_level': 396, 'target_conrey_index': 89, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274928238988, 'target_is_minimal': True, 'target_label': '396.3.e.a.89.1', 'target_level': 396, 'twist_class_label': '396.3.e.a.89.1', 'twist_class_level': 396, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 2919113
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 274928238988, 'source_is_minimal': True, 'source_label': '396.3.e.a.89.8', 'source_level': 396, 'target_conrey_index': 881, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9007749060888112, 'target_is_minimal': False, 'target_label': '1584.3.i.c.881.8', 'target_level': 1584, 'twist_class_label': '396.3.e.a.89.1', 'twist_class_level': 396, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 2919114
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 274928238988, 'source_is_minimal': True, 'source_label': '396.3.e.a.89.8', 'source_level': 396, 'target_conrey_index': 485, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 22518273065095428, 'target_is_minimal': False, 'target_label': '4356.3.e.f.485.8', 'target_level': 4356, 'twist_class_label': '396.3.e.a.89.1', 'twist_class_level': 396, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 3}
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id: 2919115
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 274928238988, 'source_is_minimal': True, 'source_label': '396.3.e.a.89.8', 'source_level': 396, 'target_conrey_index': 881, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749060888112, 'target_is_minimal': False, 'target_label': '1584.3.i.c.881.1', 'target_level': 1584, 'twist_class_label': '396.3.e.a.89.1', 'twist_class_level': 396, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 2919116
{'conductor': 33, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 274928238988, 'source_is_minimal': True, 'source_label': '396.3.e.a.89.8', 'source_level': 396, 'target_conrey_index': 485, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518273065095428, 'target_is_minimal': False, 'target_label': '4356.3.e.f.485.1', 'target_level': 4356, 'twist_class_label': '396.3.e.a.89.1', 'twist_class_level': 396, 'twisting_char_label': '33.32', 'twisting_conrey_index': 32, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 826625
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 274928238988, 'p': 2}
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id: 826626
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 274928238988, 'p': 3}
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id: 826627
{'charpoly_factorization': [[[11664, 0, 19728, 0, 4060, 0, 124, 0, 1], 1]], 'hecke_orbit_code': 274928238988, 'p': 5}
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id: 826628
{'charpoly_factorization': [[[-436, -776, -90, 8, 1], 2]], 'hecke_orbit_code': 274928238988, 'p': 7}
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id: 826629
{'charpoly_factorization': [[[11, 0, 1], 4]], 'hecke_orbit_code': 274928238988, 'p': 11}
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id: 826630
{'charpoly_factorization': [[[-2196, -2896, -454, 4, 1], 2]], 'hecke_orbit_code': 274928238988, 'p': 13}
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id: 826631
{'charpoly_factorization': [[[1522872576, 0, 108268416, 0, 1025968, 0, 1912, 0, 1], 1]], 'hecke_orbit_code': 274928238988, 'p': 17}
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id: 826632
{'charpoly_factorization': [[[22764, 8456, -640, -20, 1], 2]], 'hecke_orbit_code': 274928238988, 'p': 19}
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id: 826633
{'charpoly_factorization': [[[29599137936, 0, 367515792, 0, 1432476, 0, 2108, 0, 1], 1]], 'hecke_orbit_code': 274928238988, 'p': 23}
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id: 826634
{'charpoly_factorization': [[[136048896, 0, 33405696, 0, 632160, 0, 2864, 0, 1], 1]], 'hecke_orbit_code': 274928238988, 'p': 29}
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id: 826635
{'charpoly_factorization': [[[1720368, 42704, -2956, -20, 1], 2]], 'hecke_orbit_code': 274928238988, 'p': 31}
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id: 826636
{'charpoly_factorization': [[[486192, -33712, -2476, 28, 1], 2]], 'hecke_orbit_code': 274928238988, 'p': 37}
-
id: 826637
{'charpoly_factorization': [[[14135314012416, 0, 98847402624, 0, 66258288, 0, 14360, 0, 1], 1]], 'hecke_orbit_code': 274928238988, 'p': 41}
-
id: 826638
{'charpoly_factorization': [[[-487604, 99768, -3392, -12, 1], 2]], 'hecke_orbit_code': 274928238988, 'p': 43}
-
id: 826639
{'charpoly_factorization': [[[38170218384, 0, 806968656, 0, 4604220, 0, 4652, 0, 1], 1]], 'hecke_orbit_code': 274928238988, 'p': 47}
-
id: 826640
{'charpoly_factorization': [[[5449180585104, 0, 184143978000, 0, 103334620, 0, 18076, 0, 1], 1]], 'hecke_orbit_code': 274928238988, 'p': 53}
-
id: 826641
{'charpoly_factorization': [[[44929029279744, 0, 263522045952, 0, 120714624, 0, 19008, 0, 1], 1]], 'hecke_orbit_code': 274928238988, 'p': 59}
-
id: 826642
{'charpoly_factorization': [[[-4232084, 318048, -4118, -60, 1], 2]], 'hecke_orbit_code': 274928238988, 'p': 61}
-
id: 826643
{'charpoly_factorization': [[[10712208, -761248, -5080, 136, 1], 2]], 'hecke_orbit_code': 274928238988, 'p': 67}
-
id: 826644
{'charpoly_factorization': [[[254487963024, 0, 5106552336, 0, 11079900, 0, 6140, 0, 1], 1]], 'hecke_orbit_code': 274928238988, 'p': 71}
-
id: 826645
{'charpoly_factorization': [[[-12528, 23808, 4072, 128, 1], 2]], 'hecke_orbit_code': 274928238988, 'p': 73}
-
id: 826646
{'charpoly_factorization': [[[-3386836, -423848, -10458, -16, 1], 2]], 'hecke_orbit_code': 274928238988, 'p': 79}
-
id: 826647
{'charpoly_factorization': [[[420899034398976, 0, 507341552256, 0, 199315888, 0, 28072, 0, 1], 1]], 'hecke_orbit_code': 274928238988, 'p': 83}
-
id: 826648
{'charpoly_factorization': [[[2553527896613136, 0, 1600532742816, 0, 347173336, 0, 31336, 0, 1], 1]], 'hecke_orbit_code': 274928238988, 'p': 89}
-
id: 826649
{'charpoly_factorization': [[[-1916144, 265200, -7508, 12, 1], 2]], 'hecke_orbit_code': 274928238988, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 1, 'label': '396.3.e.a', 'level': 396, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 7707558
{'hecke_orbit_code': 274928238988, 'n': 1, 'trace_an': 8}
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id: 7707559
{'hecke_orbit_code': 274928238988, 'n': 2, 'trace_an': 0}
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id: 7707560
{'hecke_orbit_code': 274928238988, 'n': 3, 'trace_an': 0}
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id: 7707561
{'hecke_orbit_code': 274928238988, 'n': 4, 'trace_an': 0}
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id: 7707562
{'hecke_orbit_code': 274928238988, 'n': 5, 'trace_an': 0}
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id: 7707563
{'hecke_orbit_code': 274928238988, 'n': 6, 'trace_an': 0}
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id: 7707564
{'hecke_orbit_code': 274928238988, 'n': 7, 'trace_an': -16}
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id: 7707565
{'hecke_orbit_code': 274928238988, 'n': 8, 'trace_an': 0}
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id: 7707566
{'hecke_orbit_code': 274928238988, 'n': 9, 'trace_an': 0}
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id: 7707567
{'hecke_orbit_code': 274928238988, 'n': 10, 'trace_an': 0}
-
id: 7707568
{'hecke_orbit_code': 274928238988, 'n': 11, 'trace_an': 0}
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id: 7707569
{'hecke_orbit_code': 274928238988, 'n': 12, 'trace_an': 0}
-
id: 7707570
{'hecke_orbit_code': 274928238988, 'n': 13, 'trace_an': -8}
-
id: 7707571
{'hecke_orbit_code': 274928238988, 'n': 14, 'trace_an': 0}
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id: 7707572
{'hecke_orbit_code': 274928238988, 'n': 15, 'trace_an': 0}
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id: 7707573
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id: 7707788
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id: 7707792
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id: 7707793
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id: 7707794
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id: 7707800
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id: 7707802
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id: 7707808
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id: 7707809
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id: 7707814
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id: 7707815
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