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{'Nk2': 26100, 'analytic_conductor': 116.27826936441096, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, 1], [29, 1]], 'atkin_lehner_string': '++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [725, 1, [552, 176], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 3257317, 'field_disc_factorization': [[7, 1], [465331, 1]], 'field_poly': [10, -27, -34, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [196, -168, -69, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 100664021, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '725.6.a.a', 'level': 725, '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': [5, 29], 'level_radical': 145, 'minimal_twist': '29.6.a.a', 'nf_label': '4.4.3257317.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{2}q^{2}+(7-\\beta _{1}-\\beta _{2})q^{3}+(2-3\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '5.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '725.6.a', 'trace_display': [0, 28, 0, 208], 'trace_hash': 1611115727302205494, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.720', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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-11631572], [241901104, -10693654, 12769126, -32709756], [295109161, 21732685, -43574555, -13904700], [-43565180, 20800056, -21680128, -26715376], [-38427614, -2898712, 8652328, 2200384], [321071, -56313606, 2317614, 21536244], [-390511762, 5499508, -16329200, 4749692], [-37775328, -20042782, -38653842, 3006764], [12389038, -14622126, 69991142, -2124932], [27961014, 1853880, -18425616, -25119480], [44613073, -24599065, 75074147, 7664756], [27446582, -50481098, 12365078, -30632608], [-166039948, -42521380, 36629428, -29358072], [-243930641, 57797641, -5838699, 14715952], [-46640110, 5993568, 27131152, -26293232], [-95684522, -45441004, -49614284, -14091824], [8534763, 57858453, -23423287, -19109468], [347473233, -7471247, -8193519, 4063916], [140164377, 23914608, 69254456, -35008160], [-125305033, -39291474, 59935350, 11701492], [-255872500, 7776230, -766846, 692036], [381712256, 313300, 45782300, 42457208], [-142908244, -34074238, -26348274, -37988868], [-431292235, -38664625, 72826275, 19855260]], 'char_orbit_index': 1, 'field_poly': [10, -27, -34, 0, 1], 'hecke_orbit_code': 100664021, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 3, 3, 3], 'hecke_ring_inverse_denominators': [1, 2, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, -1, 0], [34, 3, 3, 0], [42, 35, -32, 3]], 'hecke_ring_numerators': [[1, 0, 0, 0], [-17, 3, 1, 0], [-17, -3, 1, 0], [-25, -67, -1, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '725.6.a.a', 'level': 725, 'maxp': 2999, 'weight': 6}
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mf_newspaces • Show schema
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{'ALdims': [51, 54, 61, 55], 'Nk2': 26100, 'analytic_conductor': 116.27826936441096, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [725, 1, [552, 176], [1, 1]], 'conrey_index': 1, 'cusp_dim': 368, 'dim': 221, 'eis_dim': 12, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 100664021, 'hecke_orbit_dims': [4, 7, 11, 11, 13, 13, 23, 23, 23, 23, 32, 38], 'label': '725.6.a', 'level': 725, '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': [5, 29], 'level_radical': 145, 'mf_dim': 380, 'mf_new_dim': 221, 'num_forms': 12, 'plus_dim': 106, 'prim_orbit_index': 1, 'relative_dim': 221, 'sturm_bound': 450, 'trace_bound': 3, 'trace_display': [4, -6, 0, 212], 'traces': [221, 4, -6, 3484, 0, 188, 212, -54, 17611, 0, 290, 1562, -52, -780, 0, 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-204733028, 86255684, 0, 200160904, 31204968, -156486848, -269028936, 0, -312470760, -54838246, -391827708, -62253940, 0, 116295875, -6519136, -327759088, -80774856, 0, -376157940, 52761974, 25529844, -75757464, 0, -6258680, -224851044, 67598080, -382321784, 0, 165922468, -53828296, -164772302, 238868908, 0, 354828550, 54941348, 243457846, -5720464, 0, -56256172, 181720448, 86153268, 182848624, 0, 478060612, 284272336, -22924722, 417160128, 0, -145235460, 73871382, -317657528, -61877920, 0], 'weight': 6, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 471162
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '725.6.a.a', 'source_level': 725, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '29.6.a.a', 'target_level': 29, 'twist_class_label': '29.6.a.a', 'twist_class_level': 29, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 471163
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '725.6.a.a', 'source_level': 725, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '261.6.a.a', 'target_level': 261, 'twist_class_label': '29.6.a.a', 'twist_class_level': 29, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 6}
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id: 471164
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '725.6.a.a', 'source_level': 725, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '464.6.a.i', 'target_level': 464, 'twist_class_label': '29.6.a.a', 'twist_class_level': 29, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 6}
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id: 471165
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '725.6.a.a', 'source_level': 725, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '725.6.a.a', 'target_level': 725, 'twist_class_label': '29.6.a.a', 'twist_class_level': 29, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 6}
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id: 471166
{'conductor': 145, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '725.6.a.a', 'source_level': 725, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '841.6.a.a', 'target_level': 841, 'twist_class_label': '29.6.a.a', 'twist_class_level': 29, 'twisting_char_label': '145.d', 'twisting_char_orbit': 4, 'weight': 6}
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mf_hecke_charpolys • Show schema
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id: 1254325
{'charpoly_factorization': [[[196, -168, -69, 0, 1], 1]], 'hecke_orbit_code': 100664021, 'p': 2}
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id: 1254326
{'charpoly_factorization': [[[1665, 2316, 46, -28, 1], 1]], 'hecke_orbit_code': 100664021, 'p': 3}
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id: 1254327
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 100664021, 'p': 5}
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id: 1254328
{'charpoly_factorization': [[[-101924272, 3637376, -17208, -208, 1], 1]], 'hecke_orbit_code': 100664021, 'p': 7}
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id: 1254329
{'charpoly_factorization': [[[-3717303119, -62500012, -219970, 124, 1], 1]], 'hecke_orbit_code': 100664021, 'p': 11}
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id: 1254330
{'charpoly_factorization': [[[-116053863479, 631235044, -825826, -460, 1], 1]], 'hecke_orbit_code': 100664021, 'p': 13}
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id: 1254331
{'charpoly_factorization': [[[11464717824, -14747712, -225472, 184, 1], 1]], 'hecke_orbit_code': 100664021, 'p': 17}
-
id: 1254332
{'charpoly_factorization': [[[2620094791680, -4969666944, -2930512, 2392, 1], 1]], 'hecke_orbit_code': 100664021, 'p': 19}
-
id: 1254333
{'charpoly_factorization': [[[2033080361984, -2037166656, -7363712, -1192, 1], 1]], 'hecke_orbit_code': 100664021, 'p': 23}
-
id: 1254334
{'charpoly_factorization': [[[841, 1], 4]], 'hecke_orbit_code': 100664021, 'p': 29}
-
id: 1254335
{'charpoly_factorization': [[[-421127233952247, 84080514516, 106781782, 19212, 1], 1]], 'hecke_orbit_code': 100664021, 'p': 31}
-
id: 1254336
{'charpoly_factorization': [[[16079593861120, 102820006912, -18294784, -10928, 1], 1]], 'hecke_orbit_code': 100664021, 'p': 37}
-
id: 1254337
{'charpoly_factorization': [[[1019972529416656, -263561233280, -338485368, 1120, 1], 1]], 'hecke_orbit_code': 100664021, 'p': 41}
-
id: 1254338
{'charpoly_factorization': [[[4775546353139537, 2087625753308, -153019426, -21420, 1], 1]], 'hecke_orbit_code': 100664021, 'p': 43}
-
id: 1254339
{'charpoly_factorization': [[[-35698126979657687, -6017632887324, -111991658, 23772, 1], 1]], 'hecke_orbit_code': 100664021, 'p': 47}
-
id: 1254340
{'charpoly_factorization': [[[16318164064396153, -3132903897524, -533663890, 8860, 1], 1]], 'hecke_orbit_code': 100664021, 'p': 53}
-
id: 1254341
{'charpoly_factorization': [[[-43504164239687680, -18906134931392, -1157799648, 10840, 1], 1]], 'hecke_orbit_code': 100664021, 'p': 59}
-
id: 1254342
{'charpoly_factorization': [[[904039178556583424, 46768750609216, -1321063392, -49448, 1], 1]], 'hecke_orbit_code': 100664021, 'p': 61}
-
id: 1254343
{'charpoly_factorization': [[[205602700687246592, 2185142259200, -2682598752, -7840, 1], 1]], 'hecke_orbit_code': 100664021, 'p': 67}
-
id: 1254344
{'charpoly_factorization': [[[-188937352325855216, -33729660413856, -668565640, 48744, 1], 1]], 'hecke_orbit_code': 100664021, 'p': 71}
-
id: 1254345
{'charpoly_factorization': [[[-403244927683116800, 84099984892160, -324259744, -74992, 1], 1]], 'hecke_orbit_code': 100664021, 'p': 73}
-
id: 1254346
{'charpoly_factorization': [[[-5341429243214578375, -284943152993980, -597387258, 106076, 1], 1]], 'hecke_orbit_code': 100664021, 'p': 79}
-
id: 1254347
{'charpoly_factorization': [[[-1885332073450789888, -138280248509248, -1340665728, 62888, 1], 1]], 'hecke_orbit_code': 100664021, 'p': 83}
-
id: 1254348
{'charpoly_factorization': [[[-182566548896698160, 81190152298944, -3628346168, -107568, 1], 1]], 'hecke_orbit_code': 100664021, 'p': 89}
-
id: 1254349
{'charpoly_factorization': [[[-12990327399638977328, -864813553737920, -17061626872, -49520, 1], 1]], 'hecke_orbit_code': 100664021, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 1, 'label': '725.6.a.a', 'level': 725, 'portrait': 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', 'weight': 6}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 3405342
{'hecke_orbit_code': 100664021, 'n': 1, 'trace_an': 4}
-
id: 3405343
{'hecke_orbit_code': 100664021, 'n': 2, 'trace_an': 0}
-
id: 3405344
{'hecke_orbit_code': 100664021, 'n': 3, 'trace_an': 28}
-
id: 3405345
{'hecke_orbit_code': 100664021, 'n': 4, 'trace_an': 10}
-
id: 3405346
{'hecke_orbit_code': 100664021, 'n': 5, 'trace_an': 0}
-
id: 3405347
{'hecke_orbit_code': 100664021, 'n': 6, 'trace_an': -194}
-
id: 3405348
{'hecke_orbit_code': 100664021, 'n': 7, 'trace_an': 208}
-
id: 3405349
{'hecke_orbit_code': 100664021, 'n': 8, 'trace_an': 504}
-
id: 3405350
{'hecke_orbit_code': 100664021, 'n': 9, 'trace_an': -280}
-
id: 3405351
{'hecke_orbit_code': 100664021, 'n': 10, 'trace_an': 0}
-
id: 3405352
{'hecke_orbit_code': 100664021, 'n': 11, 'trace_an': -124}
-
id: 3405353
{'hecke_orbit_code': 100664021, 'n': 12, 'trace_an': -20}
-
id: 3405354
{'hecke_orbit_code': 100664021, 'n': 13, 'trace_an': 460}
-
id: 3405355
{'hecke_orbit_code': 100664021, 'n': 14, 'trace_an': 768}
-
id: 3405356
{'hecke_orbit_code': 100664021, 'n': 15, 'trace_an': 0}
-
id: 3405357
{'hecke_orbit_code': 100664021, 'n': 16, 'trace_an': -414}
-
id: 3405358
{'hecke_orbit_code': 100664021, 'n': 17, 'trace_an': -184}
-
id: 3405359
{'hecke_orbit_code': 100664021, 'n': 18, 'trace_an': -3208}
-
id: 3405360
{'hecke_orbit_code': 100664021, 'n': 19, 'trace_an': -2392}
-
id: 3405361
{'hecke_orbit_code': 100664021, 'n': 20, 'trace_an': 0}
-
id: 3405362
{'hecke_orbit_code': 100664021, 'n': 21, 'trace_an': 992}
-
id: 3405363
{'hecke_orbit_code': 100664021, 'n': 22, 'trace_an': -5538}
-
id: 3405364
{'hecke_orbit_code': 100664021, 'n': 23, 'trace_an': 1192}
-
id: 3405365
{'hecke_orbit_code': 100664021, 'n': 24, 'trace_an': 6786}
-
id: 3405366
{'hecke_orbit_code': 100664021, 'n': 25, 'trace_an': 0}
-
id: 3405367
{'hecke_orbit_code': 100664021, 'n': 26, 'trace_an': 4724}
-
id: 3405368
{'hecke_orbit_code': 100664021, 'n': 27, 'trace_an': -2468}
-
id: 3405369
{'hecke_orbit_code': 100664021, 'n': 28, 'trace_an': -44}
-
id: 3405370
{'hecke_orbit_code': 100664021, 'n': 29, 'trace_an': -3364}
-
id: 3405371
{'hecke_orbit_code': 100664021, 'n': 30, 'trace_an': 0}
-
id: 3405372
{'hecke_orbit_code': 100664021, 'n': 31, 'trace_an': -19212}
-
id: 3405373
{'hecke_orbit_code': 100664021, 'n': 32, 'trace_an': -6552}
-
id: 3405374
{'hecke_orbit_code': 100664021, 'n': 33, 'trace_an': 10580}
-
id: 3405375
{'hecke_orbit_code': 100664021, 'n': 34, 'trace_an': -7612}
-
id: 3405376
{'hecke_orbit_code': 100664021, 'n': 35, 'trace_an': 0}
-
id: 3405377
{'hecke_orbit_code': 100664021, 'n': 36, 'trace_an': -7468}
-
id: 3405378
{'hecke_orbit_code': 100664021, 'n': 37, 'trace_an': 10928}
-
id: 3405379
{'hecke_orbit_code': 100664021, 'n': 38, 'trace_an': 456}
-
id: 3405380
{'hecke_orbit_code': 100664021, 'n': 39, 'trace_an': -8732}
-
id: 3405381
{'hecke_orbit_code': 100664021, 'n': 40, 'trace_an': 0}
-
id: 3405382
{'hecke_orbit_code': 100664021, 'n': 41, 'trace_an': -1120}
-
id: 3405383
{'hecke_orbit_code': 100664021, 'n': 42, 'trace_an': -1844}
-
id: 3405384
{'hecke_orbit_code': 100664021, 'n': 43, 'trace_an': 21420}
-
id: 3405385
{'hecke_orbit_code': 100664021, 'n': 44, 'trace_an': -1932}
-
id: 3405386
{'hecke_orbit_code': 100664021, 'n': 45, 'trace_an': 0}
-
id: 3405387
{'hecke_orbit_code': 100664021, 'n': 46, 'trace_an': -7588}
-
id: 3405388
{'hecke_orbit_code': 100664021, 'n': 47, 'trace_an': -23772}
-
id: 3405389
{'hecke_orbit_code': 100664021, 'n': 48, 'trace_an': -33060}
-
id: 3405390
{'hecke_orbit_code': 100664021, 'n': 49, 'trace_an': 10452}
-
id: 3405391
{'hecke_orbit_code': 100664021, 'n': 50, 'trace_an': 0}
-
id: 3405392
{'hecke_orbit_code': 100664021, 'n': 51, 'trace_an': 12744}
-
id: 3405393
{'hecke_orbit_code': 100664021, 'n': 52, 'trace_an': 29062}
-
id: 3405394
{'hecke_orbit_code': 100664021, 'n': 53, 'trace_an': -8860}
-
id: 3405395
{'hecke_orbit_code': 100664021, 'n': 54, 'trace_an': 35410}
-
id: 3405396
{'hecke_orbit_code': 100664021, 'n': 55, 'trace_an': 0}
-
id: 3405397
{'hecke_orbit_code': 100664021, 'n': 56, 'trace_an': 34304}
-
id: 3405398
{'hecke_orbit_code': 100664021, 'n': 57, 'trace_an': -48944}
-
id: 3405399
{'hecke_orbit_code': 100664021, 'n': 58, 'trace_an': 0}
-
id: 3405400
{'hecke_orbit_code': 100664021, 'n': 59, 'trace_an': -10840}
-
id: 3405401
{'hecke_orbit_code': 100664021, 'n': 60, 'trace_an': 0}
-
id: 3405402
{'hecke_orbit_code': 100664021, 'n': 61, 'trace_an': 49448}
-
id: 3405403
{'hecke_orbit_code': 100664021, 'n': 62, 'trace_an': -18518}
-
id: 3405404
{'hecke_orbit_code': 100664021, 'n': 63, 'trace_an': -27488}
-
id: 3405405
{'hecke_orbit_code': 100664021, 'n': 64, 'trace_an': -20734}
-
id: 3405406
{'hecke_orbit_code': 100664021, 'n': 65, 'trace_an': 0}
-
id: 3405407
{'hecke_orbit_code': 100664021, 'n': 66, 'trace_an': -47744}
-
id: 3405408
{'hecke_orbit_code': 100664021, 'n': 67, 'trace_an': 7840}
-
id: 3405409
{'hecke_orbit_code': 100664021, 'n': 68, 'trace_an': -20724}
-
id: 3405410
{'hecke_orbit_code': 100664021, 'n': 69, 'trace_an': 58792}
-
id: 3405411
{'hecke_orbit_code': 100664021, 'n': 70, 'trace_an': 0}
-
id: 3405412
{'hecke_orbit_code': 100664021, 'n': 71, 'trace_an': -48744}
-
id: 3405413
{'hecke_orbit_code': 100664021, 'n': 72, 'trace_an': -8088}
-
id: 3405414
{'hecke_orbit_code': 100664021, 'n': 73, 'trace_an': 74992}
-
id: 3405415
{'hecke_orbit_code': 100664021, 'n': 74, 'trace_an': -35920}
-
id: 3405416
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