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mf_newforms • Show schema
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{'Nk2': 6080, 'analytic_conductor': 12.137261107234618, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [1520, 3, [191, 1141, 1217, 401], [3, 3, 3, 1]], 'cm_discs': [], 'conrey_index': 881, 'conrey_indexes': [881, 961], 'dim': 8, 'field_disc': 160623806841, 'field_disc_factorization': [[3, 4], [44531, 2]], 'field_poly': [4, 6, 25, -20, 65, 2, 9, -1, 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': [[3, [4, 6, 25, -20, 65, 2, 9, -1, 1]], [7, [56, -11, -19, 0, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54044295073629680, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 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mf_hecke_cc • Show schema
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-
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{'Nk2': 6080, 'analytic_conductor': 12.137261107234618, 'char_conductor': 19, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [1520, 3, [191, 1141, 1217, 401], [3, 3, 3, 1]], 'conrey_index': 881, 'cusp_dim': 456, 'dim': 80, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 1099545183728, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 6, 6, 8, 8, 8, 8, 8, 10], 'label': '1520.2.q', 'level': 1520, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 19], 'level_radical': 190, 'mf_dim': 504, 'mf_new_dim': 80, 'num_forms': 16, 'prim_orbit_index': 3, 'relative_dim': 40, 'sturm_bound': 480, 'trace_bound': 7, 'trace_display': [0, -4, 0, -8], 'traces': [80, 0, -4, 0, 0, 0, -8, 0, -44, 0, 0, 0, 0, 0, 4, 0, 8, 0, 12, 0, 0, 0, 0, 0, -40, 0, 32, 0, 0, 0, -24, 0, -12, 0, 0, 0, 0, 0, -8, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 47612549
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54044295073629680, 'source_is_minimal': False, 'source_label': '1520.2.q.m.961.1', 'source_level': 1520, 'target_conrey_index': 961, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54044295073629680, 'target_is_minimal': False, 'target_label': '1520.2.q.m.961.1', 'target_level': 1520, 'twist_class_label': '380.2.i.c.121.4', 'twist_class_level': 380, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47612550
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54044295073629680, 'source_is_minimal': False, 'source_label': '1520.2.q.m.961.1', 'source_level': 1520, 'target_conrey_index': 201, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007749044109692, 'target_is_minimal': True, 'target_label': '380.2.i.c.201.4', 'target_level': 380, 'twist_class_label': '380.2.i.c.121.4', 'twist_class_level': 380, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47612551
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54044295073629680, 'source_is_minimal': False, 'source_label': '1520.2.q.m.961.1', 'source_level': 1520, 'target_conrey_index': 3241, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 99080497505766748, 'target_is_minimal': False, 'target_label': '3420.2.t.w.3241.3', 'target_level': 3420, 'twist_class_label': '380.2.i.c.121.4', 'twist_class_level': 380, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47612552
{'conductor': 19, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54044295073629680, 'source_is_minimal': False, 'source_label': '1520.2.q.m.961.1', 'source_level': 1520, 'target_conrey_index': 881, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54044295073629680, 'target_is_minimal': False, 'target_label': '1520.2.q.m.881.1', 'target_level': 1520, 'twist_class_label': '380.2.i.c.121.4', 'twist_class_level': 380, 'twisting_char_label': '19.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47612553
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54044295073629680, 'source_is_minimal': False, 'source_label': '1520.2.q.m.961.1', 'source_level': 1520, 'target_conrey_index': 49, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 13512035866249068, 'target_is_minimal': False, 'target_label': '1900.2.s.d.49.7', 'target_level': 1900, 'twist_class_label': '380.2.i.c.121.4', 'twist_class_level': 380, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47612554
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54044295073629680, 'source_is_minimal': False, 'source_label': '1520.2.q.m.961.1', 'source_level': 1520, 'target_conrey_index': 49, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512035866249068, 'target_is_minimal': False, 'target_label': '1900.2.s.d.49.2', 'target_level': 1900, 'twist_class_label': '380.2.i.c.121.4', 'twist_class_level': 380, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47612555
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54044295073629680, 'source_is_minimal': False, 'source_label': '1520.2.q.m.961.1', 'source_level': 1520, 'target_conrey_index': 201, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671481708, 'target_is_minimal': False, 'target_label': '1900.2.i.d.201.1', 'target_level': 1900, 'twist_class_label': '380.2.i.c.121.4', 'twist_class_level': 380, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 47612556
{'conductor': 76, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54044295073629680, 'source_is_minimal': False, 'source_label': '1520.2.q.m.961.1', 'source_level': 1520, 'target_conrey_index': 121, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007749044109692, 'target_is_minimal': True, 'target_label': '380.2.i.c.121.4', 'target_level': 380, 'twist_class_label': '380.2.i.c.121.4', 'twist_class_level': 380, 'twisting_char_label': '76.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47612557
{'conductor': 76, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54044295073629680, 'source_is_minimal': False, 'source_label': '1520.2.q.m.961.1', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698860084, 'target_is_minimal': False, 'target_label': '7220.2.a.r.1.1', 'target_level': 7220, 'twist_class_label': '380.2.i.c.121.4', 'twist_class_level': 380, 'twisting_char_label': '76.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47612558
{'conductor': 76, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54044295073629680, 'source_is_minimal': False, 'source_label': '1520.2.q.m.961.1', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 67553994444119092, 'target_is_minimal': False, 'target_label': '7220.2.a.p.1.4', 'target_level': 7220, 'twist_class_label': '380.2.i.c.121.4', 'twist_class_level': 380, 'twisting_char_label': '76.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 47612559
{'conductor': 228, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54044295073629680, 'source_is_minimal': False, 'source_label': '1520.2.q.m.961.1', 'source_level': 1520, 'target_conrey_index': 1261, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 99080497505766748, 'target_is_minimal': False, 'target_label': '3420.2.t.w.1261.3', 'target_level': 3420, 'twist_class_label': '380.2.i.c.121.4', 'twist_class_level': 380, 'twisting_char_label': '228.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 47612560
{'conductor': 380, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54044295073629680, 'source_is_minimal': False, 'source_label': '1520.2.q.m.961.1', 'source_level': 1520, 'target_conrey_index': 349, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 13512035866249068, 'target_is_minimal': False, 'target_label': '1900.2.s.d.349.7', 'target_level': 1900, 'twist_class_label': '380.2.i.c.121.4', 'twist_class_level': 380, 'twisting_char_label': '380.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47612561
{'conductor': 380, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54044295073629680, 'source_is_minimal': False, 'source_label': '1520.2.q.m.961.1', 'source_level': 1520, 'target_conrey_index': 349, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512035866249068, 'target_is_minimal': False, 'target_label': '1900.2.s.d.349.2', 'target_level': 1900, 'twist_class_label': '380.2.i.c.121.4', 'twist_class_level': 380, 'twisting_char_label': '380.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 47612562
{'conductor': 380, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54044295073629680, 'source_is_minimal': False, 'source_label': '1520.2.q.m.961.1', 'source_level': 1520, 'target_conrey_index': 501, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671481708, 'target_is_minimal': False, 'target_label': '1900.2.i.d.501.1', 'target_level': 1900, 'twist_class_label': '380.2.i.c.121.4', 'twist_class_level': 380, 'twisting_char_label': '380.159', 'twisting_conrey_index': 159, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2008275
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 54044295073629680, 'p': 2}
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id: 2008276
{'charpoly_factorization': [[[4, 6, 25, -20, 65, 2, 9, -1, 1], 1]], 'hecke_orbit_code': 54044295073629680, 'p': 3}
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id: 2008277
{'charpoly_factorization': [[[1, 1, 1], 4]], 'hecke_orbit_code': 54044295073629680, 'p': 5}
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id: 2008278
{'charpoly_factorization': [[[56, -11, -19, 0, 1], 2]], 'hecke_orbit_code': 54044295073629680, 'p': 7}
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id: 2008279
{'charpoly_factorization': [[[267, -21, -35, 2, 1], 2]], 'hecke_orbit_code': 54044295073629680, 'p': 11}
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id: 2008280
{'charpoly_factorization': [[[2704, 6708, 16901, 291, 1134, -213, 86, -9, 1], 1]], 'hecke_orbit_code': 54044295073629680, 'p': 13}
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id: 2008281
{'charpoly_factorization': [[[36864, -1728, 6609, 690, 955, 52, 35, -1, 1], 1]], 'hecke_orbit_code': 54044295073629680, 'p': 17}
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id: 2008282
{'charpoly_factorization': [[[130321, 20577, -15523, -399, 1227, -21, -43, 3, 1], 1]], 'hecke_orbit_code': 54044295073629680, 'p': 19}
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id: 2008283
{'charpoly_factorization': [[[2916, -5346, 7695, -3861, 1575, -198, 39, 0, 1], 1]], 'hecke_orbit_code': 54044295073629680, 'p': 23}
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id: 2008284
{'charpoly_factorization': [[[74529, -86814, 85017, -21492, 5344, -341, 84, -5, 1], 1]], 'hecke_orbit_code': 54044295073629680, 'p': 29}
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id: 2008285
{'charpoly_factorization': [[[-277, 303, -29, -10, 1], 2]], 'hecke_orbit_code': 54044295073629680, 'p': 31}
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id: 2008286
{'charpoly_factorization': [[[414, 609, 217, 26, 1], 2]], 'hecke_orbit_code': 54044295073629680, 'p': 37}
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id: 2008287
{'charpoly_factorization': [[[324, -594, 999, -453, 271, 106, 59, 8, 1], 1]], 'hecke_orbit_code': 54044295073629680, 'p': 41}
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id: 2008288
{'charpoly_factorization': [[[31684, 31506, 25633, 8156, 2441, 130, 81, 7, 1], 1]], 'hecke_orbit_code': 54044295073629680, 'p': 43}
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id: 2008289
{'charpoly_factorization': [[[1382976, 1160712, 944769, 62307, 17593, 1574, 281, 16, 1], 1]], 'hecke_orbit_code': 54044295073629680, 'p': 47}
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id: 2008290
{'charpoly_factorization': [[[1483524, 734454, 507333, -58974, 15721, -616, 143, -5, 1], 1]], 'hecke_orbit_code': 54044295073629680, 'p': 53}
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id: 2008291
{'charpoly_factorization': [[[2518569, -733194, 300729, -9504, 6520, 319, 176, 11, 1], 1]], 'hecke_orbit_code': 54044295073629680, 'p': 59}
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id: 2008292
{'charpoly_factorization': [[[841, 12644, 190734, -8896, 5687, -608, 166, -12, 1], 1]], 'hecke_orbit_code': 54044295073629680, 'p': 61}
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id: 2008293
{'charpoly_factorization': [[[10863616, 184576, 411840, -6944, 12080, -112, 124, 0, 1], 1]], 'hecke_orbit_code': 54044295073629680, 'p': 67}
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id: 2008294
{'charpoly_factorization': [[[5049009, 1503243, 445314, 63585, 11614, 1324, 197, 14, 1], 1]], 'hecke_orbit_code': 54044295073629680, 'p': 71}
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id: 2008295
{'charpoly_factorization': [[[311364, 41850, 82071, -14739, 17911, -698, 153, 4, 1], 1]], 'hecke_orbit_code': 54044295073629680, 'p': 73}
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id: 2008296
{'charpoly_factorization': [[[9096256, 5464992, 2897296, 310352, 42956, 1960, 297, 13, 1], 1]], 'hecke_orbit_code': 54044295073629680, 'p': 79}
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id: 2008297
{'charpoly_factorization': [[[-1302, -669, -82, 5, 1], 2]], 'hecke_orbit_code': 54044295073629680, 'p': 83}
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id: 2008298
{'charpoly_factorization': [[[1382976, 98784, 150528, 1512, 14128, 442, 147, -5, 1], 1]], 'hecke_orbit_code': 54044295073629680, 'p': 89}
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id: 2008299
{'charpoly_factorization': [[[13351716, -186354, 448389, -1086, 11281, -20, 123, 1, 1], 1]], 'hecke_orbit_code': 54044295073629680, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 17, 'hecke_orbit': 13, 'label': '1520.2.q.m', 'level': 1520, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 225667000
{'hecke_orbit_code': 54044295073629680, 'n': 1, 'trace_an': 8}
-
id: 225667001
{'hecke_orbit_code': 54044295073629680, 'n': 2, 'trace_an': 0}
-
id: 225667002
{'hecke_orbit_code': 54044295073629680, 'n': 3, 'trace_an': 1}
-
id: 225667003
{'hecke_orbit_code': 54044295073629680, 'n': 4, 'trace_an': 0}
-
id: 225667004
{'hecke_orbit_code': 54044295073629680, 'n': 5, 'trace_an': -4}
-
id: 225667005
{'hecke_orbit_code': 54044295073629680, 'n': 6, 'trace_an': 0}
-
id: 225667006
{'hecke_orbit_code': 54044295073629680, 'n': 7, 'trace_an': 0}
-
id: 225667007
{'hecke_orbit_code': 54044295073629680, 'n': 8, 'trace_an': 0}
-
id: 225667008
{'hecke_orbit_code': 54044295073629680, 'n': 9, 'trace_an': -5}
-
id: 225667009
{'hecke_orbit_code': 54044295073629680, 'n': 10, 'trace_an': 0}
-
id: 225667010
{'hecke_orbit_code': 54044295073629680, 'n': 11, 'trace_an': -4}
-
id: 225667011
{'hecke_orbit_code': 54044295073629680, 'n': 12, 'trace_an': 0}
-
id: 225667012
{'hecke_orbit_code': 54044295073629680, 'n': 13, 'trace_an': 9}
-
id: 225667013
{'hecke_orbit_code': 54044295073629680, 'n': 14, 'trace_an': 0}
-
id: 225667014
{'hecke_orbit_code': 54044295073629680, 'n': 15, 'trace_an': 1}
-
id: 225667015
{'hecke_orbit_code': 54044295073629680, 'n': 16, 'trace_an': 0}
-
id: 225667016
{'hecke_orbit_code': 54044295073629680, 'n': 17, 'trace_an': 1}
-
id: 225667017
{'hecke_orbit_code': 54044295073629680, 'n': 18, 'trace_an': 0}
-
id: 225667018
{'hecke_orbit_code': 54044295073629680, 'n': 19, 'trace_an': -3}
-
id: 225667019
{'hecke_orbit_code': 54044295073629680, 'n': 20, 'trace_an': 0}
-
id: 225667020
{'hecke_orbit_code': 54044295073629680, 'n': 21, 'trace_an': 8}
-
id: 225667021
{'hecke_orbit_code': 54044295073629680, 'n': 22, 'trace_an': 0}
-
id: 225667022
{'hecke_orbit_code': 54044295073629680, 'n': 23, 'trace_an': 0}
-
id: 225667023
{'hecke_orbit_code': 54044295073629680, 'n': 24, 'trace_an': 0}
-
id: 225667024
{'hecke_orbit_code': 54044295073629680, 'n': 25, 'trace_an': -4}
-
id: 225667025
{'hecke_orbit_code': 54044295073629680, 'n': 26, 'trace_an': 0}
-
id: 225667026
{'hecke_orbit_code': 54044295073629680, 'n': 27, 'trace_an': -20}
-
id: 225667027
{'hecke_orbit_code': 54044295073629680, 'n': 28, 'trace_an': 0}
-
id: 225667028
{'hecke_orbit_code': 54044295073629680, 'n': 29, 'trace_an': 5}
-
id: 225667029
{'hecke_orbit_code': 54044295073629680, 'n': 30, 'trace_an': 0}
-
id: 225667030
{'hecke_orbit_code': 54044295073629680, 'n': 31, 'trace_an': 20}
-
id: 225667031
{'hecke_orbit_code': 54044295073629680, 'n': 32, 'trace_an': 0}
-
id: 225667032
{'hecke_orbit_code': 54044295073629680, 'n': 33, 'trace_an': 25}
-
id: 225667033
{'hecke_orbit_code': 54044295073629680, 'n': 34, 'trace_an': 0}
-
id: 225667034
{'hecke_orbit_code': 54044295073629680, 'n': 35, 'trace_an': 0}
-
id: 225667035
{'hecke_orbit_code': 54044295073629680, 'n': 36, 'trace_an': 0}
-
id: 225667036
{'hecke_orbit_code': 54044295073629680, 'n': 37, 'trace_an': -52}
-
id: 225667037
{'hecke_orbit_code': 54044295073629680, 'n': 38, 'trace_an': 0}
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id: 225667038
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