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mf_newforms • Show schema
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{'Nk2': 756, 'analytic_conductor': 3.3680602160725934, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [21, 3, [8, 10], [3, 2]], 'cm_discs': [], 'conrey_index': 4, 'dim': 8, 'field_disc': 24043854579101902224, 'field_disc_factorization': [[2, 4], [3, 4], [167, 2], [227, 2], [3593, 2]], 'field_poly': [86436, 2058, 28567, -91, 9122, 83, 98, -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, [41616, -37944, 53772, 16260, 9190, 90, 103, 3, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007474233311253, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 147, 'hecke_ring_index_factorization': [[3, 1], [7, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '21.6.e.c', 'level': 21, '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': [3, 7], 'level_radical': 21, 'minimal_twist': '21.6.e.c', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1+\\beta _{1}-\\beta _{2})q^{2}+9\\beta _{2}q^{3}+(-\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '5.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '21.6.e', 'trace_display': [-3, -36, 0, 258], 'trace_hash': 1178676842132812672, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.527', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
Hide schema
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mf_twists_cc • Show schema
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id: 40866619
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 4, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007474233311253, 'source_is_minimal': True, 'source_label': '21.6.e.c.4.4', 'source_level': 21, 'target_conrey_index': 4, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007474233311253, 'target_is_minimal': True, 'target_label': '21.6.e.c.4.4', 'target_level': 21, 'twist_class_label': '21.6.e.c.4.4', 'twist_class_level': 21, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 6}
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id: 40866620
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 4, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007474233311253, 'source_is_minimal': True, 'source_label': '21.6.e.c.4.4', 'source_level': 21, 'target_conrey_index': 46, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673488052287, 'target_is_minimal': False, 'target_label': '63.6.e.e.46.1', 'target_level': 63, 'twist_class_label': '21.6.e.c.4.4', 'twist_class_level': 21, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 6}
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id: 40866621
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 4, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007474233311253, 'source_is_minimal': True, 'source_label': '21.6.e.c.4.4', 'source_level': 21, 'target_conrey_index': 193, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40533496258625872, 'target_is_minimal': False, 'target_label': '336.6.q.j.193.3', 'target_level': 336, 'twist_class_label': '21.6.e.c.4.4', 'twist_class_level': 21, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 6}
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id: 40866622
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 4, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007474233311253, 'source_is_minimal': True, 'source_label': '21.6.e.c.4.4', 'source_level': 21, 'target_conrey_index': 16, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007474233311253, 'target_is_minimal': True, 'target_label': '21.6.e.c.16.4', 'target_level': 21, 'twist_class_label': '21.6.e.c.4.4', 'twist_class_level': 21, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 6}
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id: 40866623
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 4, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007474233311253, 'source_is_minimal': True, 'source_label': '21.6.e.c.4.4', 'source_level': 21, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539596001738899, 'target_is_minimal': False, 'target_label': '147.6.a.l.1.1', 'target_level': 147, 'twist_class_label': '21.6.e.c.4.4', 'twist_class_level': 21, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 6}
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id: 40866624
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 4, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007474233311253, 'source_is_minimal': True, 'source_label': '21.6.e.c.4.4', 'source_level': 21, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195629109395, 'target_is_minimal': False, 'target_label': '147.6.a.m.1.1', 'target_level': 147, 'twist_class_label': '21.6.e.c.4.4', 'twist_class_level': 21, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 6}
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id: 40866625
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 4, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007474233311253, 'source_is_minimal': True, 'source_label': '21.6.e.c.4.4', 'source_level': 21, 'target_conrey_index': 79, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 63050669761757331, 'target_is_minimal': False, 'target_label': '147.6.e.o.79.4', 'target_level': 147, 'twist_class_label': '21.6.e.c.4.4', 'twist_class_level': 21, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 6}
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id: 40866626
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 4, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007474233311253, 'source_is_minimal': True, 'source_label': '21.6.e.c.4.4', 'source_level': 21, 'target_conrey_index': 67, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 63050669761757331, 'target_is_minimal': False, 'target_label': '147.6.e.o.67.4', 'target_level': 147, 'twist_class_label': '21.6.e.c.4.4', 'twist_class_level': 21, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 6}
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id: 40866627
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 4, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007474233311253, 'source_is_minimal': True, 'source_label': '21.6.e.c.4.4', 'source_level': 21, 'target_conrey_index': 37, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673488052287, 'target_is_minimal': False, 'target_label': '63.6.e.e.37.1', 'target_level': 63, 'twist_class_label': '21.6.e.c.4.4', 'twist_class_level': 21, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 6}
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id: 40866628
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 4, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007474233311253, 'source_is_minimal': True, 'source_label': '21.6.e.c.4.4', 'source_level': 21, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 99079191902814649, 'target_is_minimal': False, 'target_label': '441.6.a.w.1.4', 'target_level': 441, 'twist_class_label': '21.6.e.c.4.4', 'twist_class_level': 21, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 6}
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id: 40866629
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 4, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007474233311253, 'source_is_minimal': True, 'source_label': '21.6.e.c.4.4', 'source_level': 21, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 94575592275444153, 'target_is_minimal': False, 'target_label': '441.6.a.v.1.4', 'target_level': 441, 'twist_class_label': '21.6.e.c.4.4', 'twist_class_level': 21, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 6}
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id: 40866630
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 4, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007474233311253, 'source_is_minimal': True, 'source_label': '21.6.e.c.4.4', 'source_level': 21, 'target_conrey_index': 289, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40533496258625872, 'target_is_minimal': False, 'target_label': '336.6.q.j.289.3', 'target_level': 336, 'twist_class_label': '21.6.e.c.4.4', 'twist_class_level': 21, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 6}
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mf_hecke_charpolys • Show schema
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id: 82425
{'charpoly_factorization': [[[41616, -37944, 53772, 16260, 9190, 90, 103, 3, 1], 1]], 'hecke_orbit_code': 9007474233311253, 'p': 2}
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id: 82426
{'charpoly_factorization': [[[81, 9, 1], 4]], 'hecke_orbit_code': 9007474233311253, 'p': 3}
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id: 82427
{'charpoly_factorization': [[[10164899803536, 965081458800, 67214905692, 2317773900, 61817893, 605400, 7657, 0, 1], 1]], 'hecke_orbit_code': 9007474233311253, 'p': 5}
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id: 82428
{'charpoly_factorization': [[[79792266297612001, -1224870869565294, 18476141086592, -206920120008, 1643194665, -12311544, 65408, -258, 1], 1]], 'hecke_orbit_code': 9007474233311253, 'p': 7}
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id: 82429
{'charpoly_factorization': [[[2829568482592751376, 169576701600014928, 9761813367494172, 25381944601332, 99024901837, 105799218, 399967, 402, 1], 1]], 'hecke_orbit_code': 9007474233311253, 'p': 11}
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id: 82430
{'charpoly_factorization': [[[149501563456, 515112852, -1148423, -462, 1], 2]], 'hecke_orbit_code': 9007474233311253, 'p': 13}
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id: 82431
{'charpoly_factorization': [[[2510425643599238529024, 44837110146970681344, 720903316973027328, 1454766301642752, 2840324474880, 1349604864, 1670928, 276, 1], 1]], 'hecke_orbit_code': 9007474233311253, 'p': 17}
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id: 82432
{'charpoly_factorization': [[[54628927092985580511563776, -5896825990015878977280, 44221112569626422096, -2834297273515140, 27788839301865, -1411756650, 6156971, 510, 1], 1]], 'hecke_orbit_code': 9007474233311253, 'p': 19}
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id: 82433
{'charpoly_factorization': [[[9047700688840340092747776, -51504758372052573880320, 271772835469800505344, -163456653366558720, 165861153884160, 83386679040, 40488144, 6900, 1], 1]], 'hecke_orbit_code': 9007474233311253, 'p': 23}
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id: 82434
{'charpoly_factorization': [[[408027025117872, 62527747272, -52650397, -540, 1], 2]], 'hecke_orbit_code': 9007474233311253, 'p': 29}
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id: 82435
{'charpoly_factorization': [[[7519680127798113647275945209, 5083169593044764929487598, 4972209303844040870952, 73339378003949028, 602809801419817, -3691164188, 58801968, -6410, 1], 1]], 'hecke_orbit_code': 9007474233311253, 'p': 31}
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id: 82436
{'charpoly_factorization': [[[25431105554668088404743342375936, 7549601052824889027271102080, 2004918702019590959929008, 223956156491010025260, 30068709801011305, 2279577843610, 279418707, 15250, 1], 1]], 'hecke_orbit_code': 9007474233311253, 'p': 37}
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id: 82437
{'charpoly_factorization': [[[-1856858915261952, -1101575496480, -192741244, -4308, 1], 2]], 'hecke_orbit_code': 9007474233311253, 'p': 41}
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id: 82438
{'charpoly_factorization': [[[-991662745581932, -199921376588, 199961493, -29198, 1], 2]], 'hecke_orbit_code': 9007474233311253, 'p': 43}
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id: 82439
{'charpoly_factorization': [[[73270724017161642212281211136, -12164068572051486246766848, 15729581860689981040128, -5876954381324343168, 3512848312989072, -852661119456, 176153856, -15060, 1], 1]], 'hecke_orbit_code': 9007474233311253, 'p': 47}
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id: 82440
{'charpoly_factorization': [[[72343236355801451678844053270784, 68374549794314156759450087040, 60388638865198905797772912, 4235531909662997427528, 366485627229994953, 9260410268772, 685378293, 13692, 1], 1]], 'hecke_orbit_code': 9007474233311253, 'p': 53}
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id: 82441
{'charpoly_factorization': [[[6650478746304621097786096548096, 1190450802227713314066840960, 698578937563895542379376, 92739830872274379000, 54097578476747217, 7480212648750, 1024872459, 34830, 1], 1]], 'hecke_orbit_code': 9007474233311253, 'p': 59}
-
id: 82442
{'charpoly_factorization': [[[321922204446252136379290155141376, 60639616949719778744166178560, 20978463126071642702311424, -1607543208856194807168, 283845325040842512, -3902598174816, 561368672, -5364, 1], 1]], 'hecke_orbit_code': 9007474233311253, 'p': 61}
-
id: 82443
{'charpoly_factorization': [[[302596024971115875614695445835555856, -2718397014904060046722099476000, 1589966562463725863769911444, 20658658000321909656792, 7519978747196869197, 26942404854654, 2881922927, -5994, 1], 1]], 'hecke_orbit_code': 9007474233311253, 'p': 67}
-
id: 82444
{'charpoly_factorization': [[[21932335650275568, 16377596837712, 1521744768, -89268, 1], 2]], 'hecke_orbit_code': 9007474233311253, 'p': 71}
-
id: 82445
{'charpoly_factorization': [[[14915808373949680059326036318490000, 2482588017082558125236593314000, 457528085093028893259077100, 7189592332501483112580, 1466139740779982221, 62299772588518, 3193750863, 59638, 1], 1]], 'hecke_orbit_code': 9007474233311253, 'p': 73}
-
id: 82446
{'charpoly_factorization': [[[27301304458234581168518344089781081, -2454848594648640401391441575206, 845604017658862099686665128, 70747342212365881335788, 13482185316532207897, 196348017119564, 5723264752, -44062, 1], 1]], 'hecke_orbit_code': 9007474233311253, 'p': 79}
-
id: 82447
{'charpoly_factorization': [[[-41533908097096407132, -738604511000820, 7607249829, 208446, 1], 2]], 'hecke_orbit_code': 9007474233311253, 'p': 83}
-
id: 82448
{'charpoly_factorization': [[[2239375876373079606378438995149165953024, -88312687527564464010904384415465472, 2687420811627864787647658831872, -38700667842298647676388352, 474439153312967172112, -2429594520301248, 22815563908, -77520, 1], 1]], 'hecke_orbit_code': 9007474233311253, 'p': 89}
-
id: 82449
{'charpoly_factorization': [[[-11638556269792123644, -99054118022220, 9271508101, 188630, 1], 2]], 'hecke_orbit_code': 9007474233311253, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 3, 'label': '21.6.e.c', 'level': 21, 'portrait': 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', 'weight': 6}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 30595165
{'hecke_orbit_code': 9007474233311253, 'n': 1, 'trace_an': 8}
-
id: 30595166
{'hecke_orbit_code': 9007474233311253, 'n': 2, 'trace_an': -3}
-
id: 30595167
{'hecke_orbit_code': 9007474233311253, 'n': 3, 'trace_an': -36}
-
id: 30595168
{'hecke_orbit_code': 9007474233311253, 'n': 4, 'trace_an': -69}
-
id: 30595169
{'hecke_orbit_code': 9007474233311253, 'n': 5, 'trace_an': 0}
-
id: 30595170
{'hecke_orbit_code': 9007474233311253, 'n': 6, 'trace_an': 54}
-
id: 30595171
{'hecke_orbit_code': 9007474233311253, 'n': 7, 'trace_an': 258}
-
id: 30595172
{'hecke_orbit_code': 9007474233311253, 'n': 8, 'trace_an': 246}
-
id: 30595173
{'hecke_orbit_code': 9007474233311253, 'n': 9, 'trace_an': -324}
-
id: 30595174
{'hecke_orbit_code': 9007474233311253, 'n': 10, 'trace_an': -283}
-
id: 30595175
{'hecke_orbit_code': 9007474233311253, 'n': 11, 'trace_an': -402}
-
id: 30595176
{'hecke_orbit_code': 9007474233311253, 'n': 12, 'trace_an': -621}
-
id: 30595177
{'hecke_orbit_code': 9007474233311253, 'n': 13, 'trace_an': 924}
-
id: 30595178
{'hecke_orbit_code': 9007474233311253, 'n': 14, 'trace_an': 1926}
-
id: 30595179
{'hecke_orbit_code': 9007474233311253, 'n': 15, 'trace_an': 0}
-
id: 30595180
{'hecke_orbit_code': 9007474233311253, 'n': 16, 'trace_an': -3273}
-
id: 30595181
{'hecke_orbit_code': 9007474233311253, 'n': 17, 'trace_an': -276}
-
id: 30595182
{'hecke_orbit_code': 9007474233311253, 'n': 18, 'trace_an': -243}
-
id: 30595183
{'hecke_orbit_code': 9007474233311253, 'n': 19, 'trace_an': -510}
-
id: 30595184
{'hecke_orbit_code': 9007474233311253, 'n': 20, 'trace_an': 9438}
-
id: 30595185
{'hecke_orbit_code': 9007474233311253, 'n': 21, 'trace_an': -3564}
-
id: 30595186
{'hecke_orbit_code': 9007474233311253, 'n': 22, 'trace_an': 2750}
-
id: 30595187
{'hecke_orbit_code': 9007474233311253, 'n': 23, 'trace_an': -6900}
-
id: 30595188
{'hecke_orbit_code': 9007474233311253, 'n': 24, 'trace_an': -1107}
-
id: 30595189
{'hecke_orbit_code': 9007474233311253, 'n': 25, 'trace_an': -2814}
-
id: 30595190
{'hecke_orbit_code': 9007474233311253, 'n': 26, 'trace_an': 15138}
-
id: 30595191
{'hecke_orbit_code': 9007474233311253, 'n': 27, 'trace_an': 5832}
-
id: 30595192
{'hecke_orbit_code': 9007474233311253, 'n': 28, 'trace_an': -26221}
-
id: 30595193
{'hecke_orbit_code': 9007474233311253, 'n': 29, 'trace_an': 1080}
-
id: 30595194
{'hecke_orbit_code': 9007474233311253, 'n': 30, 'trace_an': -2547}
-
id: 30595195
{'hecke_orbit_code': 9007474233311253, 'n': 31, 'trace_an': 6410}
-
id: 30595196
{'hecke_orbit_code': 9007474233311253, 'n': 32, 'trace_an': -15519}
-
id: 30595197
{'hecke_orbit_code': 9007474233311253, 'n': 33, 'trace_an': -3618}
-
id: 30595198
{'hecke_orbit_code': 9007474233311253, 'n': 34, 'trace_an': 42288}
-
id: 30595199
{'hecke_orbit_code': 9007474233311253, 'n': 35, 'trace_an': -33108}
-
id: 30595200
{'hecke_orbit_code': 9007474233311253, 'n': 36, 'trace_an': 11178}
-
id: 30595201
{'hecke_orbit_code': 9007474233311253, 'n': 37, 'trace_an': -15250}
-
id: 30595202
{'hecke_orbit_code': 9007474233311253, 'n': 38, 'trace_an': 41250}
-
id: 30595203
{'hecke_orbit_code': 9007474233311253, 'n': 39, 'trace_an': -4158}
-
id: 30595204
{'hecke_orbit_code': 9007474233311253, 'n': 40, 'trace_an': 8547}
-
id: 30595205
{'hecke_orbit_code': 9007474233311253, 'n': 41, 'trace_an': 8616}
-
id: 30595206
{'hecke_orbit_code': 9007474233311253, 'n': 42, 'trace_an': -16281}
-
id: 30595207
{'hecke_orbit_code': 9007474233311253, 'n': 43, 'trace_an': 58396}
-
id: 30595208
{'hecke_orbit_code': 9007474233311253, 'n': 44, 'trace_an': -70743}
-
id: 30595209
{'hecke_orbit_code': 9007474233311253, 'n': 45, 'trace_an': 0}
-
id: 30595210
{'hecke_orbit_code': 9007474233311253, 'n': 46, 'trace_an': -61800}
-
id: 30595211
{'hecke_orbit_code': 9007474233311253, 'n': 47, 'trace_an': 15060}
-
id: 30595212
{'hecke_orbit_code': 9007474233311253, 'n': 48, 'trace_an': 58914}
-
id: 30595213
{'hecke_orbit_code': 9007474233311253, 'n': 49, 'trace_an': -64252}
-
id: 30595214
{'hecke_orbit_code': 9007474233311253, 'n': 50, 'trace_an': -14604}
-
id: 30595215
{'hecke_orbit_code': 9007474233311253, 'n': 51, 'trace_an': -2484}
-
id: 30595216
{'hecke_orbit_code': 9007474233311253, 'n': 52, 'trace_an': 47476}
-
id: 30595217
{'hecke_orbit_code': 9007474233311253, 'n': 53, 'trace_an': -13692}
-
id: 30595218
{'hecke_orbit_code': 9007474233311253, 'n': 54, 'trace_an': -2187}
-
id: 30595219
{'hecke_orbit_code': 9007474233311253, 'n': 55, 'trace_an': 146248}
-
id: 30595220
{'hecke_orbit_code': 9007474233311253, 'n': 56, 'trace_an': -15921}
-
id: 30595221
{'hecke_orbit_code': 9007474233311253, 'n': 57, 'trace_an': 9180}
-
id: 30595222
{'hecke_orbit_code': 9007474233311253, 'n': 58, 'trace_an': -52309}
-
id: 30595223
{'hecke_orbit_code': 9007474233311253, 'n': 59, 'trace_an': -34830}
-
id: 30595224
{'hecke_orbit_code': 9007474233311253, 'n': 60, 'trace_an': -42471}
-
id: 30595225
{'hecke_orbit_code': 9007474233311253, 'n': 61, 'trace_an': 5364}
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{'hecke_orbit_code': 9007474233311253, 'n': 967, 'trace_an': -5919852}
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