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mf_newforms • Show schema
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{'Nk2': 6480, 'analytic_conductor': 23.89577355232495, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [405, 3, [326, 82], [2, 3]], 'cm_discs': [], 'conrey_index': 136, 'conrey_indexes': [136, 271], 'dim': 6, 'field_disc': -84779568, 'field_disc_factorization': [[-1, 1], [2, 4], [3, 3], [443, 2]], 'field_poly': [64, -96, 152, -4, 13, -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': [[2, [900, 240, 214, 20, 33, 5, 1]], [7, [68856804, -6596910, 665217, -13416, 811, -4, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057868982944149, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 9, 'hecke_ring_index_factorization': [[3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 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mf_hecke_cc • Show schema
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-0.06603229496903443, -0.09947095006227569, -0.0367464955323315, -0.3916761592052015, -0.1709337217975355, -0.4363628123363054, -0.1778383107061488, -0.11575635031846664, -0.43302898226670195, 0.011736000294786757, -0.09521402546824663, -0.4335051253238292, -0.14695773547479235, -0.16848949086435538, 0.2671476038813995, -0.07834573653550905, -0.3733193473876746, -0.39786342737221225, -0.2438023343647262, -0.37233005658527135, -0.044918338767155626, -0.14957365839022962, -0.02864841982673122], 'char_orbit_index': 5, 'conrey_index': 271, 'dual_conrey_index': 136, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 5, 'embedding_root_imag': -2.882159641292681, 'embedding_root_real': -1.6640156447478045, 'hecke_orbit': 17, 'hecke_orbit_code': 72057868982944149, 'label': '405.4.e.q.271.2', 'level': 405, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 6480, 'analytic_conductor': 23.89577355232495, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [405, 3, [326, 82], [2, 3]], 'conrey_index': 136, 'cusp_dim': 300, 'dim': 96, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 274945016213, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 12, 12], 'label': '405.4.e', 'level': 405, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 348, 'mf_new_dim': 96, 'num_forms': 24, 'prim_orbit_index': 3, 'relative_dim': 48, 'sturm_bound': 216, 'trace_bound': 7, 'trace_display': [0, 0, 0, -60], 'traces': [96, 0, 0, -192, 0, 0, -60, 0, 0, 0, 0, 0, 120, 0, 0, -768, 0, 0, -960, 0, 0, 72, 0, 0, -1200, 0, 0, 1920, 0, 0, -600, 0, 0, -1350, 0, 0, -1680, 0, 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0, -112446, 0, 0, 284952, 0, 0, 4320, 0, 0, -210528, 0, 0, -17928, 0, 0, 69036, 0, 0, 379980, 0, 0, -106560, 0, 0, 208836, 0, 0, 47988, 0, 0, -962124, 0, 0, -62412, 0, 0, -203040, 0, 0, -122952, 0, 0, -151530, 0, 0, 87048, 0, 0, -30816, 0, 0, -87120, 0, 0, 401892, 0, 0, 251400, 0, 0, 231480, 0, 0, 163596, 0, 0, 22500], 'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48066905
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057868982944149, 'source_is_minimal': False, 'source_label': '405.4.e.q.271.2', 'source_level': 405, 'target_conrey_index': 271, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057868982944149, 'target_is_minimal': False, 'target_label': '405.4.e.q.271.2', 'target_level': 405, 'twist_class_label': '135.4.a.e.1.2', 'twist_class_level': 135, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 48066906
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057868982944149, 'source_is_minimal': False, 'source_label': '405.4.e.q.271.2', 'source_level': 405, 'target_conrey_index': 271, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94575867119796629, 'target_is_minimal': False, 'target_label': '405.4.e.v.271.2', 'target_level': 405, 'twist_class_label': '135.4.a.e.1.2', 'twist_class_level': 135, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48066907
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057868982944149, 'source_is_minimal': False, 'source_label': '405.4.e.q.271.2', 'source_level': 405, 'target_conrey_index': 136, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94575867119796629, 'target_is_minimal': False, 'target_label': '405.4.e.v.136.2', 'target_level': 405, 'twist_class_label': '135.4.a.e.1.2', 'twist_class_level': 135, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48066908
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057868982944149, 'source_is_minimal': False, 'source_label': '405.4.e.q.271.2', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525197458702471, 'target_is_minimal': True, 'target_label': '135.4.a.h.1.2', 'target_level': 135, 'twist_class_label': '135.4.a.e.1.2', 'twist_class_level': 135, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 48066909
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057868982944149, 'source_is_minimal': False, 'source_label': '405.4.e.q.271.2', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398576590983, 'target_is_minimal': True, 'target_label': '135.4.a.e.1.2', 'target_level': 135, 'twist_class_label': '135.4.a.e.1.2', 'twist_class_level': 135, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 48066910
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057868982944149, 'source_is_minimal': False, 'source_label': '405.4.e.q.271.2', 'source_level': 405, 'target_conrey_index': 136, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057868982944149, 'target_is_minimal': False, 'target_label': '405.4.e.q.136.2', 'target_level': 405, 'twist_class_label': '135.4.a.e.1.2', 'twist_class_level': 135, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 48066911
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057868982944149, 'source_is_minimal': False, 'source_label': '405.4.e.q.271.2', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 153122387397707888, 'target_is_minimal': False, 'target_label': '2160.4.a.bi.1.1', 'target_level': 2160, 'twist_class_label': '135.4.a.e.1.2', 'twist_class_level': 135, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 48066912
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057868982944149, 'source_is_minimal': False, 'source_label': '405.4.e.q.271.2', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 189151184416671856, 'target_is_minimal': False, 'target_label': '2160.4.a.bq.1.1', 'target_level': 2160, 'twist_class_label': '135.4.a.e.1.2', 'twist_class_level': 135, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 4}
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id: 48066913
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057868982944149, 'source_is_minimal': False, 'source_label': '405.4.e.q.271.2', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67553994477666979, 'target_is_minimal': False, 'target_label': '675.4.a.p.1.2', 'target_level': 675, 'twist_class_label': '135.4.a.e.1.2', 'twist_class_level': 135, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 48066914
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057868982944149, 'source_is_minimal': False, 'source_label': '405.4.e.q.271.2', 'source_level': 405, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 58546863942402723, 'target_is_minimal': False, 'target_label': '675.4.b.n.649.3', 'target_level': 675, 'twist_class_label': '135.4.a.e.1.2', 'twist_class_level': 135, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 48066915
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057868982944149, 'source_is_minimal': False, 'source_label': '405.4.e.q.271.2', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81064793359778467, 'target_is_minimal': False, 'target_label': '675.4.a.s.1.2', 'target_level': 675, 'twist_class_label': '135.4.a.e.1.2', 'twist_class_level': 135, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 48066916
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057868982944149, 'source_is_minimal': False, 'source_label': '405.4.e.q.271.2', 'source_level': 405, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 58546863942402723, 'target_is_minimal': False, 'target_label': '675.4.b.n.649.4', 'target_level': 675, 'twist_class_label': '135.4.a.e.1.2', 'twist_class_level': 135, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 4}
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id: 48066917
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057868982944149, 'source_is_minimal': False, 'source_label': '405.4.e.q.271.2', 'source_level': 405, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 54043264315032227, 'target_is_minimal': False, 'target_label': '675.4.b.m.649.4', 'target_level': 675, 'twist_class_label': '135.4.a.e.1.2', 'twist_class_level': 135, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 48066918
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057868982944149, 'source_is_minimal': False, 'source_label': '405.4.e.q.271.2', 'source_level': 405, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54043264315032227, 'target_is_minimal': False, 'target_label': '675.4.b.m.649.3', 'target_level': 675, 'twist_class_label': '135.4.a.e.1.2', 'twist_class_level': 135, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 846400
{'charpoly_factorization': [[[900, 240, 214, 20, 33, 5, 1], 1]], 'hecke_orbit_code': 72057868982944149, 'p': 2}
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id: 846401
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 72057868982944149, 'p': 3}
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id: 846402
{'charpoly_factorization': [[[25, 5, 1], 3]], 'hecke_orbit_code': 72057868982944149, 'p': 5}
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id: 846403
{'charpoly_factorization': [[[68856804, -6596910, 665217, -13416, 811, -4, 1], 1]], 'hecke_orbit_code': 72057868982944149, 'p': 7}
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id: 846404
{'charpoly_factorization': [[[977187600, 90278880, 8496844, 48080, 2913, 5, 1], 1]], 'hecke_orbit_code': 72057868982944149, 'p': 11}
-
id: 846405
{'charpoly_factorization': [[[41280625, -4940825, 546386, -18233, 818, 7, 1], 1]], 'hecke_orbit_code': 72057868982944149, 'p': 13}
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id: 846406
{'charpoly_factorization': [[[-41760, 5608, -155, 1], 2]], 'hecke_orbit_code': 72057868982944149, 'p': 17}
-
id: 846407
{'charpoly_factorization': [[[-368012, -16663, 50, 1], 2]], 'hecke_orbit_code': 72057868982944149, 'p': 19}
-
id: 846408
{'charpoly_factorization': [[[306362250000, -8966700000, 420187500, 5724000, 65025, 285, 1], 1]], 'hecke_orbit_code': 72057868982944149, 'p': 23}
-
id: 846409
{'charpoly_factorization': [[[41477979315600, 305323638720, 2988157564, 7428760, 60633, 115, 1], 1]], 'hecke_orbit_code': 72057868982944149, 'p': 29}
-
id: 846410
{'charpoly_factorization': [[[880414396416, -27428502528, 962414784, 1485072, 42457, -115, 1], 1]], 'hecke_orbit_code': 72057868982944149, 'p': 31}
-
id: 846411
{'charpoly_factorization': [[[-22667198, -67923, 384, 1], 2]], 'hecke_orbit_code': 72057868982944149, 'p': 37}
-
id: 846412
{'charpoly_factorization': [[[15345082598400, 351818751360, 5794172944, 44256400, 246588, 580, 1], 1]], 'hecke_orbit_code': 72057868982944149, 'p': 41}
-
id: 846413
{'charpoly_factorization': [[[28707478180096, 763613038720, 24582225392, -124304312, 492689, -797, 1], 1]], 'hecke_orbit_code': 72057868982944149, 'p': 43}
-
id: 846414
{'charpoly_factorization': [[[207021450297600, 3584858772480, 59990424304, 64903520, 270177, -145, 1], 1]], 'hecke_orbit_code': 72057868982944149, 'p': 47}
-
id: 846415
{'charpoly_factorization': [[[-12658320, -58172, 400, 1], 2]], 'hecke_orbit_code': 72057868982944149, 'p': 53}
-
id: 846416
{'charpoly_factorization': [[[27093274214400, 142578647040, 2728267264, 1280, 171792, 380, 1], 1]], 'hecke_orbit_code': 72057868982944149, 'p': 59}
-
id: 846417
{'charpoly_factorization': [[[25695430112356, -443416548350, 8422373657, 3158068, 110579, -152, 1], 1]], 'hecke_orbit_code': 72057868982944149, 'p': 61}
-
id: 846418
{'charpoly_factorization': [[[431363822490000, 5067688430700, 59577050601, 41050602, 244003, 2, 1], 1]], 'hecke_orbit_code': 72057868982944149, 'p': 67}
-
id: 846419
{'charpoly_factorization': [[[216071280, -677372, -40, 1], 2]], 'hecke_orbit_code': 72057868982944149, 'p': 71}
-
id: 846420
{'charpoly_factorization': [[[16447954, 264533, 980, 1], 2]], 'hecke_orbit_code': 72057868982944149, 'p': 73}
-
id: 846421
{'charpoly_factorization': [[[8207802819455625, -4730518438875, 94501091250, 234087645, 973954, 1013, 1], 1]], 'hecke_orbit_code': 72057868982944149, 'p': 79}
-
id: 846422
{'charpoly_factorization': [[[7146869573505600, 25482469920480, 113684412384, 87692760, 374328, 270, 1], 1]], 'hecke_orbit_code': 72057868982944149, 'p': 83}
-
id: 846423
{'charpoly_factorization': [[[125064000, 46800, -1020, 1], 2]], 'hecke_orbit_code': 72057868982944149, 'p': 89}
-
id: 846424
{'charpoly_factorization': [[[752435512191364, 948082376154, 20944602729, 29975756, 552963, 720, 1], 1]], 'hecke_orbit_code': 72057868982944149, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 17, 'label': '405.4.e.q', 'level': 405, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 240524000
{'hecke_orbit_code': 72057868982944149, 'n': 1, 'trace_an': 6}
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id: 240524001
{'hecke_orbit_code': 72057868982944149, 'n': 2, 'trace_an': -5}
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id: 240524002
{'hecke_orbit_code': 72057868982944149, 'n': 3, 'trace_an': 0}
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id: 240524003
{'hecke_orbit_code': 72057868982944149, 'n': 4, 'trace_an': -17}
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id: 240524004
{'hecke_orbit_code': 72057868982944149, 'n': 5, 'trace_an': -15}
-
id: 240524005
{'hecke_orbit_code': 72057868982944149, 'n': 6, 'trace_an': 0}
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id: 240524006
{'hecke_orbit_code': 72057868982944149, 'n': 7, 'trace_an': 4}
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id: 240524007
{'hecke_orbit_code': 72057868982944149, 'n': 8, 'trace_an': 150}
-
id: 240524008
{'hecke_orbit_code': 72057868982944149, 'n': 9, 'trace_an': 0}
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id: 240524009
{'hecke_orbit_code': 72057868982944149, 'n': 10, 'trace_an': 50}
-
id: 240524010
{'hecke_orbit_code': 72057868982944149, 'n': 11, 'trace_an': -5}
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id: 240524011
{'hecke_orbit_code': 72057868982944149, 'n': 12, 'trace_an': 0}
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id: 240524012
{'hecke_orbit_code': 72057868982944149, 'n': 13, 'trace_an': -7}
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id: 240524013
{'hecke_orbit_code': 72057868982944149, 'n': 14, 'trace_an': -60}
-
id: 240524014
{'hecke_orbit_code': 72057868982944149, 'n': 15, 'trace_an': 0}
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id: 240524015
{'hecke_orbit_code': 72057868982944149, 'n': 16, 'trace_an': -161}
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id: 240524016
{'hecke_orbit_code': 72057868982944149, 'n': 17, 'trace_an': 310}
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id: 240524017
{'hecke_orbit_code': 72057868982944149, 'n': 18, 'trace_an': 0}
-
id: 240524018
{'hecke_orbit_code': 72057868982944149, 'n': 19, 'trace_an': -100}
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id: 240524019
{'hecke_orbit_code': 72057868982944149, 'n': 20, 'trace_an': -85}
-
id: 240524020
{'hecke_orbit_code': 72057868982944149, 'n': 21, 'trace_an': 0}
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id: 240524021
{'hecke_orbit_code': 72057868982944149, 'n': 22, 'trace_an': 229}
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id: 240524022
{'hecke_orbit_code': 72057868982944149, 'n': 23, 'trace_an': -285}
-
id: 240524023
{'hecke_orbit_code': 72057868982944149, 'n': 24, 'trace_an': 0}
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id: 240524024
{'hecke_orbit_code': 72057868982944149, 'n': 25, 'trace_an': -75}
-
id: 240524025
{'hecke_orbit_code': 72057868982944149, 'n': 26, 'trace_an': 370}
-
id: 240524026
{'hecke_orbit_code': 72057868982944149, 'n': 27, 'trace_an': 0}
-
id: 240524027
{'hecke_orbit_code': 72057868982944149, 'n': 28, 'trace_an': -668}
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id: 240524028
{'hecke_orbit_code': 72057868982944149, 'n': 29, 'trace_an': -115}
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id: 240524029
{'hecke_orbit_code': 72057868982944149, 'n': 30, 'trace_an': 0}
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id: 240524030
{'hecke_orbit_code': 72057868982944149, 'n': 31, 'trace_an': 115}
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id: 240524031
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