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mf_newforms • Show schema
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{'Nk2': 2600, 'analytic_conductor': 5.190276131383225, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 65, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 12, 'char_parity': 1, 'char_values': [650, 12, [27, 301], [3, 11]], 'cm_discs': [], 'conrey_index': 7, 'dim': 16, 'field_disc': 771669559081313501184, 'field_disc_factorization': [[2, 32], [3, 8], [5233, 2]], 'field_poly': [81, 0, 1296, 0, 4338, 0, 6012, 0, 4147, 0, 1516, 0, 294, 0, 28, 0, 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, [81, 0, 810, 1620, 1035, 540, -450, -828, 304, -312, 372, -120, 23, 12, -12, 0, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31526503095206538, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 9, 'hecke_ring_index_factorization': [[3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 65, 20, 1, 12, 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': '650.2.t.h', 'level': 650, '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': [2, 5, 13], 'level_radical': 130, 'minimal_twist': '650.2.t.f', 'prim_orbit_index': 20, 'qexp_display': 'q-\\beta _{7}q^{2}+(-\\beta _{1}+\\beta _{2}-\\beta _{3}-\\beta _{5}-\\beta _{7}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '650.2.t', 'trace_display': [0, 0, 0, 4], 'trace_hash': 209725517502619437, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.037', 'prec': 17}, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2600, 'analytic_conductor': 5.190276131383225, 'char_conductor': 65, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 12, 'char_parity': 1, 'char_values': [650, 12, [27, 301], [3, 11]], 'conrey_index': 7, 'cusp_dim': 372, 'dim': 84, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 1305703613066, 'hecke_orbit_dims': [4, 4, 8, 8, 12, 16, 16, 16], 'label': '650.2.t', 'level': 650, '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': [2, 5, 13], 'level_radical': 130, 'mf_dim': 468, 'mf_new_dim': 84, 'num_forms': 8, 'prim_orbit_index': 20, 'relative_dim': 21, 'sturm_bound': 210, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [84, 0, 0, 42, 0, 0, 0, 0, 48, 0, -24, 0, 10, 0, 0, -42, 4, 4, 8, 0, 8, 0, 0, 0, 0, 0, 24, 0, 0, 0, -32, 0, 12, 22, 0, 48, 20, 0, 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-64, -216, 384, 0, 96, 60, -8, 144, 0, 322, -80, 0, 0, 0, 150, 240, -24, 0, 0, 40, 48, -128, 256, 0, 144, -170, -196, -216, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46403635
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 643, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 31526503095206538, 'source_is_minimal': True, 'source_label': '650.2.t.h.643.4', 'source_level': 650, 'target_conrey_index': 643, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31526503095206538, 'target_is_minimal': True, 'target_label': '650.2.t.h.643.4', 'target_level': 650, 'twist_class_label': '650.2.t.f.557.1', 'twist_class_level': 650, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46403636
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 643, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 31526503095206538, 'source_is_minimal': True, 'source_label': '650.2.t.h.643.4', 'source_level': 650, 'target_conrey_index': 357, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519509998895754, 'target_is_minimal': True, 'target_label': '650.2.w.f.357.1', 'target_level': 650, 'twist_class_label': '650.2.t.f.557.1', 'twist_class_level': 650, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46403637
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 643, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 31526503095206538, 'source_is_minimal': True, 'source_label': '650.2.t.h.643.4', 'source_level': 650, 'target_conrey_index': 357, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31526709253636746, 'target_is_minimal': True, 'target_label': '650.2.w.h.357.4', 'target_level': 650, 'twist_class_label': '650.2.t.f.557.1', 'twist_class_level': 650, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46403638
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 643, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 31526503095206538, 'source_is_minimal': True, 'source_label': '650.2.t.h.643.4', 'source_level': 650, 'target_conrey_index': 643, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519303840465546, 'target_is_minimal': True, 'target_label': '650.2.t.f.643.1', 'target_level': 650, 'twist_class_label': '650.2.t.f.557.1', 'twist_class_level': 650, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46403639
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 643, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 31526503095206538, 'source_is_minimal': True, 'source_label': '650.2.t.h.643.4', 'source_level': 650, 'target_conrey_index': 193, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519509998895754, 'target_is_minimal': True, 'target_label': '650.2.w.f.193.1', 'target_level': 650, 'twist_class_label': '650.2.t.f.557.1', 'twist_class_level': 650, 'twisting_char_label': '13.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46403640
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 643, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 31526503095206538, 'source_is_minimal': True, 'source_label': '650.2.t.h.643.4', 'source_level': 650, 'target_conrey_index': 193, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31526709253636746, 'target_is_minimal': True, 'target_label': '650.2.w.h.193.4', 'target_level': 650, 'twist_class_label': '650.2.t.f.557.1', 'twist_class_level': 650, 'twisting_char_label': '65.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 46403641
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 643, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 31526503095206538, 'source_is_minimal': True, 'source_label': '650.2.t.h.643.4', 'source_level': 650, 'target_conrey_index': 557, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31526503095206538, 'target_is_minimal': True, 'target_label': '650.2.t.h.557.4', 'target_level': 650, 'twist_class_label': '650.2.t.f.557.1', 'twist_class_level': 650, 'twisting_char_label': '65.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 46403642
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 643, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 31526503095206538, 'source_is_minimal': True, 'source_label': '650.2.t.h.643.4', 'source_level': 650, 'target_conrey_index': 557, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519303840465546, 'target_is_minimal': True, 'target_label': '650.2.t.f.557.1', 'target_level': 650, 'twist_class_label': '650.2.t.f.557.1', 'twist_class_level': 650, 'twisting_char_label': '65.63', 'twisting_conrey_index': 63, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1166300
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 4]], 'hecke_orbit_code': 31526503095206538, 'p': 2}
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id: 1166301
{'charpoly_factorization': [[[81, 0, 810, 1620, 1035, 540, -450, -828, 304, -312, 372, -120, 23, 12, -12, 0, 1], 1]], 'hecke_orbit_code': 31526503095206538, 'p': 3}
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id: 1166302
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 31526503095206538, 'p': 5}
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id: 1166303
{'charpoly_factorization': [[[279841, 194672, 772340, 52072, 1463669, 387844, 518484, 49920, 91528, 4092, 11148, -428, 821, -56, 44, -4, 1], 1]], 'hecke_orbit_code': 31526503095206538, 'p': 7}
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id: 1166304
{'charpoly_factorization': [[[81, -324, 9234, 13932, 39915, -1980, -113994, -288, 101104, -28924, 68, -2392, 199, 244, 20, 4, 1], 1]], 'hecke_orbit_code': 31526503095206538, 'p': 11}
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id: 1166305
{'charpoly_factorization': [[[815730721, 752982204, 279954922, 22277580, -23934118, -10914696, -1271556, 646776, 324887, 49752, -7524, -4968, -838, 60, 58, 12, 1], 1]], 'hecke_orbit_code': 31526503095206538, 'p': 13}
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id: 1166306
{'charpoly_factorization': [[[9199089, -10700424, 7831080, -11519064, 6830793, -2012112, 2541384, 46824, 27976, 65056, -17752, -5624, 625, 104, 8, 8, 1], 1]], 'hecke_orbit_code': 31526503095206538, 'p': 17}
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id: 1166307
{'charpoly_factorization': [[[81, 648, 3726, 10476, -8190, -76212, -28260, 132420, 147607, 72764, 45788, 17996, 5122, 1084, 158, 16, 1], 1]], 'hecke_orbit_code': 31526503095206538, 'p': 19}
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id: 1166308
{'charpoly_factorization': [[[11881809, 21219732, 106921944, 42138360, 62234550, -8746668, -108576, -3652116, -175253, 411020, 8864, -13132, 454, 40, -40, 4, 1], 1]], 'hecke_orbit_code': 31526503095206538, 'p': 23}
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id: 1166309
{'charpoly_factorization': [[[7001170929, -3524306760, -8016076710, 4332884400, 13192228215, 10712036808, 4898840634, 1434901392, 274302936, 31959360, 1614816, -66852, -3141, 3024, 516, 36, 1], 1]], 'hecke_orbit_code': 31526503095206538, 'p': 29}
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id: 1166310
{'charpoly_factorization': [[[20736, -414720, 4147200, -16547328, 28876032, 40128768, 24602112, 5450112, 1040224, 580672, 386432, 82528, 9040, 176, 32, 8, 1], 1]], 'hecke_orbit_code': 31526503095206538, 'p': 31}
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id: 1166311
{'charpoly_factorization': [[[187489, -3394720, 83064506, 433152088, 2114452319, 2163211288, 1519209114, 603101976, 176798224, 34312920, 5267352, 573292, 57275, 4432, 380, 20, 1], 1]], 'hecke_orbit_code': 31526503095206538, 'p': 37}
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id: 1166312
{'charpoly_factorization': [[[5749430625, -4039956000, -428449500, 2146925520, -1639432566, 169975872, 487579176, -328525104, 124543939, -32154112, 5858456, -806608, 89770, -8000, 572, -32, 1], 1]], 'hecke_orbit_code': 31526503095206538, 'p': 41}
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id: 1166313
{'charpoly_factorization': [[[45270647361, 455728218948, 1324788835644, 552307737780, 50016298599, 2589716916, 1476415116, -361581852, 18169192, -4657116, -103302, 78936, -685, 1140, 126, 0, 1], 1]], 'hecke_orbit_code': 31526503095206538, 'p': 43}
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id: 1166314
{'charpoly_factorization': [[[-2124351, 827100, 171936, -79092, -1709, 2252, -96, -16, 1], 2]], 'hecke_orbit_code': 31526503095206538, 'p': 47}
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id: 1166315
{'charpoly_factorization': [[[178024081041, 309819089268, 269592370632, 114908505444, 29011869792, 4726599156, 1376185752, 474691332, 111917086, 15330556, 2069528, 439756, 93376, 12092, 968, 44, 1], 1]], 'hecke_orbit_code': 31526503095206538, 'p': 53}
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id: 1166316
{'charpoly_factorization': [[[3470769, 3621672, -695466, 3770388, 1436130, -6657228, 918540, 1122660, -234009, 347004, 148716, -12636, 9090, -1188, 198, -24, 1], 1]], 'hecke_orbit_code': 31526503095206538, 'p': 59}
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id: 1166317
{'charpoly_factorization': [[[42849, 2235600, 119487906, -144239400, 302471010, 122590800, 113503224, 16586460, 10865047, 908360, 835912, 33380, 21346, 2360, 382, 20, 1], 1]], 'hecke_orbit_code': 31526503095206538, 'p': 61}
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id: 1166318
{'charpoly_factorization': [[[36051756129, 20800207404, -18867669606, -13193742024, 13206276666, -1019975004, -926126376, 95664360, 50723911, -2470452, -1256344, 40224, 23130, 0, -178, 0, 1], 1]], 'hecke_orbit_code': 31526503095206538, 'p': 67}
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id: 1166319
{'charpoly_factorization': [[[1018337960542464, -737095318391808, 237504267832320, -50215081545216, 8676774566784, -1221959886336, 129589926912, -10083336576, 443232304, 16421248, -4265728, 395104, -20168, -784, 176, -16, 1], 1]], 'hecke_orbit_code': 31526503095206538, 'p': 71}
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id: 1166320
{'charpoly_factorization': [[[8100000000, 0, 19664640000, 0, 12016601856, 0, 2957818368, 0, 303317344, 0, 10256000, 0, 124464, 0, 608, 0, 1], 1]], 'hecke_orbit_code': 31526503095206538, 'p': 73}
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id: 1166321
{'charpoly_factorization': [[[211086032481, 0, 193983892956, 0, 36774155970, 0, 3077005752, 0, 136154011, 0, 3377416, 0, 46914, 0, 340, 0, 1], 1]], 'hecke_orbit_code': 31526503095206538, 'p': 79}
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id: 1166322
{'charpoly_factorization': [[[-419175, -1628100, -1214514, -343080, -36302, 964, 522, 40, 1], 2]], 'hecke_orbit_code': 31526503095206538, 'p': 83}
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id: 1166323
{'charpoly_factorization': [[[709755295760289, -266866190045388, 9979762438566, 5321131293168, -1123912276839, 185334946344, 30646605726, -2343390876, 552677380, 33424180, -5970706, 530248, -5687, -4624, 470, -28, 1], 1]], 'hecke_orbit_code': 31526503095206538, 'p': 89}
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id: 1166324
{'charpoly_factorization': [[[4554033974517889, -8799944522448912, 7449383213116944, -3441923628708096, 991839251454497, -191220361148616, 25409079546912, -2313238597872, 135985555584, -4188698808, 11820024, -2517648, 1015073, -89856, 4008, -96, 1], 1]], 'hecke_orbit_code': 31526503095206538, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 20, 'hecke_orbit': 8, 'label': '650.2.t.h', 'level': 650, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 50222773
{'hecke_orbit_code': 31526503095206538, 'n': 1, 'trace_an': 16}
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id: 50222774
{'hecke_orbit_code': 31526503095206538, 'n': 2, 'trace_an': 0}
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id: 50222775
{'hecke_orbit_code': 31526503095206538, 'n': 3, 'trace_an': 0}
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id: 50222776
{'hecke_orbit_code': 31526503095206538, 'n': 4, 'trace_an': 8}
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id: 50222777
{'hecke_orbit_code': 31526503095206538, 'n': 5, 'trace_an': 0}
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id: 50222778
{'hecke_orbit_code': 31526503095206538, 'n': 6, 'trace_an': 0}
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id: 50222779
{'hecke_orbit_code': 31526503095206538, 'n': 7, 'trace_an': 4}
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id: 50222780
{'hecke_orbit_code': 31526503095206538, 'n': 8, 'trace_an': 0}
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id: 50222781
{'hecke_orbit_code': 31526503095206538, 'n': 9, 'trace_an': 24}
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id: 50222782
{'hecke_orbit_code': 31526503095206538, 'n': 10, 'trace_an': 0}
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id: 50222783
{'hecke_orbit_code': 31526503095206538, 'n': 11, 'trace_an': -4}
-
id: 50222784
{'hecke_orbit_code': 31526503095206538, 'n': 12, 'trace_an': 0}
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id: 50222785
{'hecke_orbit_code': 31526503095206538, 'n': 13, 'trace_an': -12}
-
id: 50222786
{'hecke_orbit_code': 31526503095206538, 'n': 14, 'trace_an': 0}
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id: 50222787
{'hecke_orbit_code': 31526503095206538, 'n': 15, 'trace_an': 0}
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id: 50222788
{'hecke_orbit_code': 31526503095206538, 'n': 16, 'trace_an': -8}
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id: 50222789
{'hecke_orbit_code': 31526503095206538, 'n': 17, 'trace_an': -8}
-
id: 50222790
{'hecke_orbit_code': 31526503095206538, 'n': 18, 'trace_an': 8}
-
id: 50222791
{'hecke_orbit_code': 31526503095206538, 'n': 19, 'trace_an': -16}
-
id: 50222792
{'hecke_orbit_code': 31526503095206538, 'n': 20, 'trace_an': 0}
-
id: 50222793
{'hecke_orbit_code': 31526503095206538, 'n': 21, 'trace_an': -4}
-
id: 50222794
{'hecke_orbit_code': 31526503095206538, 'n': 22, 'trace_an': -4}
-
id: 50222795
{'hecke_orbit_code': 31526503095206538, 'n': 23, 'trace_an': -4}
-
id: 50222796
{'hecke_orbit_code': 31526503095206538, 'n': 24, 'trace_an': 0}
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id: 50222797
{'hecke_orbit_code': 31526503095206538, 'n': 25, 'trace_an': 0}
-
id: 50222798
{'hecke_orbit_code': 31526503095206538, 'n': 26, 'trace_an': 4}
-
id: 50222799
{'hecke_orbit_code': 31526503095206538, 'n': 27, 'trace_an': -36}
-
id: 50222800
{'hecke_orbit_code': 31526503095206538, 'n': 28, 'trace_an': -4}
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id: 50222801
{'hecke_orbit_code': 31526503095206538, 'n': 29, 'trace_an': -36}
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id: 50222802
{'hecke_orbit_code': 31526503095206538, 'n': 30, 'trace_an': 0}
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id: 50222803
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