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mf_newforms • Show schema
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{'Nk2': 348, 'analytic_conductor': 0.6946984975851394, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 29, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 7, 'char_parity': 1, 'char_values': [87, 7, [59, 31], [7, 3]], 'cm_discs': [], 'conrey_index': 7, 'dim': 18, 'field_disc': -660178277953223391683259967, 'field_disc_factorization': [[-1, 1], [7, 15], [11792213, 2]], 'field_poly': [64, -576, 3200, -4480, 6004, -4032, 1833, -1080, 1092, -319, 485, -237, 225, -83, 71, -37, 18, -6, 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, [1, -10, 99, -411, 1352, 669, -1528, -1652, 1452, 2976, 2458, 1290, 828, 309, 126, 45, 14, 4, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 412350414935, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 29, 4, 1, 7, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '87.2.g.a', 'level': 87, '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, 29], 'level_radical': 87, 'minimal_twist': '87.2.g.a', 'prim_orbit_index': 4, 'qexp_display': 'q+(-\\beta _{3}+\\beta _{9})q^{2}-\\beta _{10}q^{3}+(2\\beta _{1}+\\beta _{5}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c7', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '87.2.g', 'trace_display': [-4, -3, -1, -4], 'trace_hash': 1890471356118944872, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_cc • Show schema
Hide schema
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16, 'embedding_root_imag': -2.155290897461829, 'embedding_root_real': 0.4919310827581522, 'hecke_orbit': 1, 'hecke_orbit_code': 412350414935, 'label': '87.2.g.a.82.1', 'level': 87, 'weight': 2}
-
mf_newspaces • Show schema
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{'Nk2': 348, 'analytic_conductor': 0.6946984975851394, 'char_conductor': 29, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 7, 'char_parity': 1, 'char_values': [87, 7, [59, 31], [7, 3]], 'conrey_index': 7, 'cusp_dim': 48, 'dim': 36, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 412350414935, 'hecke_orbit_dims': [18, 18], 'label': '87.2.g', 'level': 87, '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, 29], 'level_radical': 87, 'mf_dim': 72, 'mf_new_dim': 36, 'num_forms': 2, 'prim_orbit_index': 4, 'relative_dim': 6, 'sturm_bound': 20, 'trace_bound': 2, 'trace_display': [-6, 0, -8, -8], 'traces': [36, -6, 0, -12, -8, -2, -8, -18, -6, -8, 20, 0, -2, -12, 6, 4, -28, -6, -8, 50, 0, 12, -14, -12, 20, 2, 0, 32, -2, 8, -4, 64, -24, -16, 40, -12, 4, -52, -8, -26, 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mf_twists_cc • Show schema
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id: 3849201
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 18, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414935, 'source_is_minimal': True, 'source_label': '87.2.g.a.82.1', 'source_level': 87, 'target_conrey_index': 82, 'target_dim': 18, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414935, 'target_is_minimal': True, 'target_label': '87.2.g.a.82.1', 'target_level': 87, 'twist_class_label': '87.2.g.a.52.1', 'twist_class_level': 87, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 3849202
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 18, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414935, 'source_is_minimal': True, 'source_label': '87.2.g.a.82.1', 'source_level': 87, 'target_conrey_index': 82, 'target_dim': 18, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007886483063045, 'target_is_minimal': False, 'target_label': '261.2.k.c.82.3', 'target_level': 261, 'twist_class_label': '87.2.g.a.52.1', 'twist_class_level': 87, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3849203
{'conductor': 29, 'degree': 6, 'order': 14, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 18, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414935, 'source_is_minimal': True, 'source_label': '87.2.g.a.82.1', 'source_level': 87, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 8, 'target_hecke_orbit_code': 63050394816743899, 'target_is_minimal': False, 'target_label': '2523.2.a.o.1.8', 'target_level': 2523, 'twist_class_label': '87.2.g.a.52.1', 'twist_class_level': 87, 'twisting_char_label': '29.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 3849204
{'conductor': 29, 'degree': 6, 'order': 7, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 18, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414935, 'source_is_minimal': True, 'source_label': '87.2.g.a.82.1', 'source_level': 87, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561193698855387, 'target_is_minimal': False, 'target_label': '2523.2.a.r.1.2', 'target_level': 2523, 'twist_class_label': '87.2.g.a.52.1', 'twist_class_level': 87, 'twisting_char_label': '29.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 3849205
{'conductor': 29, 'degree': 6, 'order': 7, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 18, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414935, 'source_is_minimal': True, 'source_label': '87.2.g.a.82.1', 'source_level': 87, 'target_conrey_index': 52, 'target_dim': 18, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414935, 'target_is_minimal': True, 'target_label': '87.2.g.a.52.1', 'target_level': 87, 'twist_class_label': '87.2.g.a.52.1', 'twist_class_level': 87, 'twisting_char_label': '29.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 3849206
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 18, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414935, 'source_is_minimal': True, 'source_label': '87.2.g.a.82.1', 'source_level': 87, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 8, 'target_hecke_orbit_code': 157625986991529361, 'target_is_minimal': False, 'target_label': '7569.2.a.bj.1.8', 'target_level': 7569, 'twist_class_label': '87.2.g.a.52.1', 'twist_class_level': 87, 'twisting_char_label': '87.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 3849207
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 18, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414935, 'source_is_minimal': True, 'source_label': '87.2.g.a.82.1', 'source_level': 87, 'target_conrey_index': 226, 'target_dim': 18, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007886483063045, 'target_is_minimal': False, 'target_label': '261.2.k.c.226.3', 'target_level': 261, 'twist_class_label': '87.2.g.a.52.1', 'twist_class_level': 87, 'twisting_char_label': '87.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 3849208
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 18, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414935, 'source_is_minimal': True, 'source_label': '87.2.g.a.82.1', 'source_level': 87, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 2, 'target_hecke_orbit_code': 171136785873640849, 'target_is_minimal': False, 'target_label': '7569.2.a.bm.1.2', 'target_level': 7569, 'twist_class_label': '87.2.g.a.52.1', 'twist_class_level': 87, 'twisting_char_label': '87.38', 'twisting_conrey_index': 38, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 266375
{'charpoly_factorization': [[[1, -10, 99, -411, 1352, 669, -1528, -1652, 1452, 2976, 2458, 1290, 828, 309, 126, 45, 14, 4, 1], 1]], 'hecke_orbit_code': 412350414935, 'p': 2}
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id: 266376
{'charpoly_factorization': [[[1, 1, 1, 1, 1, 1, 1], 3]], 'hecke_orbit_code': 412350414935, 'p': 3}
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id: 266377
{'charpoly_factorization': [[[212521, 50710, 267549, -92580, 137897, -104355, 93287, -47943, 28545, -12340, 3826, 60, 86, -31, 56, -18, 0, 1, 1], 1]], 'hecke_orbit_code': 412350414935, 'p': 5}
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id: 266378
{'charpoly_factorization': [[[322624, -104512, -36224, 366488, 209664, -90030, -3609, 44749, 23721, 4746, 4474, 3654, 3308, 1349, 604, 124, 42, 4, 1], 1]], 'hecke_orbit_code': 412350414935, 'p': 7}
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id: 266379
{'charpoly_factorization': [[[1236544, 2063872, 3507504, 2819024, 3407248, 1269328, 477705, -196204, 122429, -306351, 407162, -308281, 157020, -56688, 14696, -2691, 335, -26, 1], 1]], 'hecke_orbit_code': 412350414935, 'p': 11}
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id: 266380
{'charpoly_factorization': [[[2180609809, 691022206, 2257427746, 667123926, 1134951426, -144895835, 189420477, -45885862, 11991578, -7760767, 2457607, -189705, -16332, 1464, 724, -154, 44, -9, 1], 1]], 'hecke_orbit_code': 412350414935, 'p': 13}
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id: 266381
{'charpoly_factorization': [[[-86143, 42666, 24696, -12802, -2585, 1383, 118, -63, -2, 1], 2]], 'hecke_orbit_code': 412350414935, 'p': 17}
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id: 266382
{'charpoly_factorization': [[[589467701824, 653321430848, 558533834160, 302186813856, 124192161296, 38039402712, 9601207129, 1915303945, 283021828, 25878195, 2063811, 581686, 165932, 24467, 2732, 303, 56, 10, 1], 1]], 'hecke_orbit_code': 412350414935, 'p': 19}
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id: 266383
{'charpoly_factorization': [[[880427584, 1853787872, 3761263184, -1598952696, 3303815204, -3610379562, 2515991629, -878625006, 147647770, -6439790, 90611, 313748, 93236, -16892, -266, -94, 86, 8, 1], 1]], 'hecke_orbit_code': 412350414935, 'p': 23}
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id: 266384
{'charpoly_factorization': [[[14507145975869, -4001971303688, 517496289270, -92792438076, 19444569252, 1116796699, -340324106, -147524856, 32770609, -3557529, 1130021, -175416, -13954, 1579, 948, -156, 30, -8, 1], 1]], 'hecke_orbit_code': 412350414935, 'p': 29}
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id: 266385
{'charpoly_factorization': [[[177848896, 545282368, 586502592, 284432496, 435272748, 225748860, 113593229, 85206577, 43897793, 13144498, 3375932, 959572, 265985, 56784, 9707, 1358, 169, 12, 1], 1]], 'hecke_orbit_code': 412350414935, 'p': 31}
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id: 266386
{'charpoly_factorization': [[[18850466209, -93284661789, 141374952176, -2135615747, 43712531927, 13864024775, 7221080805, 1248628215, 474893745, 98233369, 14501576, 3402646, 720299, 76804, 10343, 1703, 199, 16, 1], 1]], 'hecke_orbit_code': 412350414935, 'p': 37}
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id: 266387
{'charpoly_factorization': [[[-3560291, -369754, 1008112, -15014, -77409, 5077, 1800, -143, -12, 1], 2]], 'hecke_orbit_code': 412350414935, 'p': 41}
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id: 266388
{'charpoly_factorization': [[[271326784, 1423905568, 4815922288, 1875967784, 2140379516, 168053666, 849831873, 54857000, 190424757, -22686023, 1908619, -931253, 248457, 133521, 22868, 3122, 404, 31, 1], 1]], 'hecke_orbit_code': 412350414935, 'p': 43}
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id: 266389
{'charpoly_factorization': [[[817216, 4924992, 12171200, 9928248, -4378992, -7470478, 31975447, -30946575, 20824507, -8781664, 2928223, -606293, 87507, -2129, -1241, 99, 34, -5, 1], 1]], 'hecke_orbit_code': 412350414935, 'p': 47}
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id: 266390
{'charpoly_factorization': [[[5317548372361, 8717821126006, 7114076901792, 3227910501023, 885920980320, 177493826850, 35733391348, 2419143740, -438418499, 22189066, 42742413, 7523494, 1742485, 70509, 18910, 228, 237, -5, 1], 1]], 'hecke_orbit_code': 412350414935, 'p': 53}
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id: 266391
{'charpoly_factorization': [[[897224, -2414644, 10296, 436861, 44950, -19019, -3922, -138, 16, 1], 2]], 'hecke_orbit_code': 412350414935, 'p': 59}
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id: 266392
{'charpoly_factorization': [[[522207124321, -140933393614, 241628165808, -114653160616, 45079526895, -9791064953, 2950386310, -475352946, 110503594, 1336528, 6821227, 739316, 221462, 59972, 9627, 1333, 291, 28, 1], 1]], 'hecke_orbit_code': 412350414935, 'p': 61}
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id: 266393
{'charpoly_factorization': [[[2088855616, -7920868832, 114976232464, -97918503464, 459704028156, 125953931666, 30753003667, -18802823545, 1031155882, 284981862, 27696256, -6407890, 203601, 65618, 4542, -1036, 65, -6, 1], 1]], 'hecke_orbit_code': 412350414935, 'p': 67}
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id: 266394
{'charpoly_factorization': [[[8040305748733504, -4313936710309472, 1703217714950064, -493950029590312, 120937672830260, -27450524919186, 5884058800095, -1127310556469, 189112057002, -26377875808, 3119834076, -335653391, 34437277, -3178311, 253263, -17361, 1053, -46, 1], 1]], 'hecke_orbit_code': 412350414935, 'p': 71}
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id: 266395
{'charpoly_factorization': [[[61148882089, 12135413225, 597720756877, 1031139479842, 863209252363, 525347672824, 296574263009, 110476386805, 28074645466, 2707501191, 173625822, 3775479, 693431, 123532, 14579, -376, -21, 1, 1], 1]], 'hecke_orbit_code': 412350414935, 'p': 73}
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id: 266396
{'charpoly_factorization': [[[8744494144, -2622450528, 116139843904, -188626885976, 343995910776, 106464188476, 50423269185, 1948461516, 2868899665, 333803926, 130025565, 12664134, -1567295, -189754, 23270, 3306, 179, 15, 1], 1]], 'hecke_orbit_code': 412350414935, 'p': 79}
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id: 266397
{'charpoly_factorization': [[[645862966336, -182291683168, 2772950635504, 1539454220808, 1526474040924, 420416253754, 43570377299, -10491026533, -1568758606, 479724978, 213611560, 43936163, 7218035, 917603, 79389, 3355, 125, 16, 1], 1]], 'hecke_orbit_code': 412350414935, 'p': 83}
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id: 266398
{'charpoly_factorization': [[[2181989549956441, -393758181574088, -41804016427445, -220347404048595, 113357923806733, 3137057793847, 9943261045419, -913504572145, -211508701629, -1044586169, 8475988435, 1862227763, 243866223, 22310821, 1524001, 77630, 2901, 72, 1], 1]], 'hecke_orbit_code': 412350414935, 'p': 89}
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id: 266399
{'charpoly_factorization': [[[40807578862561, -24549842448670, -4184790509746, 4467189897534, 1035140537998, -462396481904, 120174379011, -51045250120, 15113389205, -2704073243, 755645194, -127204206, 24133683, -3050612, 317400, -22516, 1252, -43, 1], 1]], 'hecke_orbit_code': 412350414935, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 1, 'label': '87.2.g.a', 'level': 87, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 8741880
{'hecke_orbit_code': 412350414935, 'n': 1, 'trace_an': 18}
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id: 8741881
{'hecke_orbit_code': 412350414935, 'n': 2, 'trace_an': -4}
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id: 8741882
{'hecke_orbit_code': 412350414935, 'n': 3, 'trace_an': -3}
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id: 8741883
{'hecke_orbit_code': 412350414935, 'n': 4, 'trace_an': -6}
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id: 8741884
{'hecke_orbit_code': 412350414935, 'n': 5, 'trace_an': -1}
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id: 8741885
{'hecke_orbit_code': 412350414935, 'n': 6, 'trace_an': -4}
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id: 8741886
{'hecke_orbit_code': 412350414935, 'n': 7, 'trace_an': -4}
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id: 8741887
{'hecke_orbit_code': 412350414935, 'n': 8, 'trace_an': -15}
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id: 8741888
{'hecke_orbit_code': 412350414935, 'n': 9, 'trace_an': -3}
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id: 8741889
{'hecke_orbit_code': 412350414935, 'n': 10, 'trace_an': -14}
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id: 8741890
{'hecke_orbit_code': 412350414935, 'n': 11, 'trace_an': 26}
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id: 8741891
{'hecke_orbit_code': 412350414935, 'n': 12, 'trace_an': 22}
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id: 8741892
{'hecke_orbit_code': 412350414935, 'n': 13, 'trace_an': 9}
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id: 8741893
{'hecke_orbit_code': 412350414935, 'n': 14, 'trace_an': -10}
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id: 8741894
{'hecke_orbit_code': 412350414935, 'n': 15, 'trace_an': -1}
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id: 8741895
{'hecke_orbit_code': 412350414935, 'n': 16, 'trace_an': -14}
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id: 8741896
{'hecke_orbit_code': 412350414935, 'n': 17, 'trace_an': 4}
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id: 8741897
{'hecke_orbit_code': 412350414935, 'n': 18, 'trace_an': -4}
-
id: 8741898
{'hecke_orbit_code': 412350414935, 'n': 19, 'trace_an': -10}
-
id: 8741899
{'hecke_orbit_code': 412350414935, 'n': 20, 'trace_an': -1}
-
id: 8741900
{'hecke_orbit_code': 412350414935, 'n': 21, 'trace_an': -4}
-
id: 8741901
{'hecke_orbit_code': 412350414935, 'n': 22, 'trace_an': -8}
-
id: 8741902
{'hecke_orbit_code': 412350414935, 'n': 23, 'trace_an': -8}
-
id: 8741903
{'hecke_orbit_code': 412350414935, 'n': 24, 'trace_an': -8}
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id: 8741904
{'hecke_orbit_code': 412350414935, 'n': 25, 'trace_an': 16}
-
id: 8741905
{'hecke_orbit_code': 412350414935, 'n': 26, 'trace_an': 5}
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id: 8741906
{'hecke_orbit_code': 412350414935, 'n': 27, 'trace_an': -3}
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id: 8741907
{'hecke_orbit_code': 412350414935, 'n': 28, 'trace_an': 80}
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id: 8741908
{'hecke_orbit_code': 412350414935, 'n': 29, 'trace_an': 8}
-
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{'hecke_orbit_code': 412350414935, 'n': 859, 'trace_an': 7}
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id: 8742118
{'hecke_orbit_code': 412350414935, 'n': 863, 'trace_an': -120}
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id: 8742119
{'hecke_orbit_code': 412350414935, 'n': 877, 'trace_an': -68}
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id: 8742120
{'hecke_orbit_code': 412350414935, 'n': 881, 'trace_an': -131}
-
id: 8742121
{'hecke_orbit_code': 412350414935, 'n': 883, 'trace_an': 19}
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id: 8742122
{'hecke_orbit_code': 412350414935, 'n': 887, 'trace_an': -62}
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id: 8742123
{'hecke_orbit_code': 412350414935, 'n': 907, 'trace_an': -104}
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id: 8742124
{'hecke_orbit_code': 412350414935, 'n': 911, 'trace_an': -60}
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id: 8742125
{'hecke_orbit_code': 412350414935, 'n': 919, 'trace_an': -8}
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id: 8742126
{'hecke_orbit_code': 412350414935, 'n': 929, 'trace_an': -192}
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id: 8742127
{'hecke_orbit_code': 412350414935, 'n': 937, 'trace_an': -229}
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id: 8742128
{'hecke_orbit_code': 412350414935, 'n': 941, 'trace_an': 24}
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id: 8742129
{'hecke_orbit_code': 412350414935, 'n': 947, 'trace_an': 185}
-
id: 8742130
{'hecke_orbit_code': 412350414935, 'n': 953, 'trace_an': -15}
-
id: 8742131
{'hecke_orbit_code': 412350414935, 'n': 961, 'trace_an': -101}
-
id: 8742132
{'hecke_orbit_code': 412350414935, 'n': 967, 'trace_an': 69}
-
id: 8742133
{'hecke_orbit_code': 412350414935, 'n': 971, 'trace_an': -64}
-
id: 8742134
{'hecke_orbit_code': 412350414935, 'n': 977, 'trace_an': -148}
-
id: 8742135
{'hecke_orbit_code': 412350414935, 'n': 983, 'trace_an': 2}
-
id: 8742136
{'hecke_orbit_code': 412350414935, 'n': 991, 'trace_an': 104}
-
id: 8742137
{'hecke_orbit_code': 412350414935, 'n': 997, 'trace_an': -161}