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mf_newforms • Show schema
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{'Nk2': 2548, 'analytic_conductor': 5.086470608755561, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, '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': [637, 3, [248, 197], [1, 3]], 'cm_discs': [], 'conrey_index': 79, 'conrey_indexes': [79, 508], 'dim': 12, 'field_disc': 14812471168598016, 'field_disc_factorization': [[2, 22], [3, 6], [31, 2], [71, 2]], 'field_poly': [1, 6, 43, -26, 92, -2, 85, -18, 34, -6, 9, -2, 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, [4, 8, 44, -56, 180, -64, 108, -4, 50, 0, 8, 0, 1]], [3, [4, -16, 88, 48, 200, 192, 452, 424, 316, 136, 44, 8, 1]], [5, [961, 806, 1637, 682, 1430, 670, 637, 278, 200, 78, 31, 6, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58547070067278461, 'hecke_ring_generator_nbound': 5, '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, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '637.2.e.n', 'level': 637, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 13], 'level_radical': 91, 'minimal_twist': '637.2.a.m', 'prim_orbit_index': 3, 'qexp_display': 'q+(-\\beta _{3}+\\beta _{11})q^{2}+(\\beta _{1}+\\beta _{2}-\\beta _{8}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '637.2.e', 'trace_display': [0, -8, -6, 0], 'trace_hash': 93175562250421067, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2548, 'analytic_conductor': 5.086470608755561, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [637, 3, [248, 197], [1, 3]], 'conrey_index': 79, 'cusp_dim': 116, 'dim': 80, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3, 5], 'hecke_orbit_code': 274911462013, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 4, 4, 4, 6, 6, 6, 6, 10, 12, 12], 'label': '637.2.e', 'level': 637, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 13], 'level_radical': 91, 'mf_dim': 148, 'mf_new_dim': 80, 'num_forms': 15, 'prim_orbit_index': 3, 'relative_dim': 40, 'sturm_bound': 130, 'trace_bound': 5, 'trace_display': [4, 0, 2, 0], 'traces': [80, 4, 0, -36, 2, 0, 0, -12, -44, -10, 6, -10, -4, 0, 20, -12, -4, 10, 8, -32, 0, -68, -2, 20, -34, 6, 0, 0, -4, 30, 4, 46, 8, 32, 0, 4, 24, -26, 0, 8, -28, 0, 12, 18, 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0, 220, 124, 118, -216, -16, 48, 0, 208, -282, 72, -128, 76, -4, 0, -248, -194, -30, -4, 128, -188, 0, -180, 108, 74, -154, -18, 132, 0, 404, 66, -32, -232, 138, 240, 0, -92, 60, -68, 248, -64, 8, 0, -308, 8, -74, 62, -34, 48, 0, 252, -280, 8, -216, -8, -40, 0, -64, -250, -52, -60, -50, -140, 0, 908, -492, 36, -6, -38, -40], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47724770
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 508, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58547070067278461, 'source_is_minimal': False, 'source_label': '637.2.e.n.508.5', 'source_level': 637, 'target_conrey_index': 508, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 58547070067278461, 'target_is_minimal': False, 'target_label': '637.2.e.n.508.5', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.2', 'twist_class_level': 637, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47724771
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 508, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58547070067278461, 'source_is_minimal': False, 'source_label': '637.2.e.n.508.5', 'source_level': 637, 'target_conrey_index': 79, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 58547070067278461, 'target_is_minimal': False, 'target_label': '637.2.e.n.79.5', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.2', 'twist_class_level': 637, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47724772
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 508, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58547070067278461, 'source_is_minimal': False, 'source_label': '637.2.e.n.508.5', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043195562001021, 'target_is_minimal': True, 'target_label': '637.2.a.m.1.2', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.2', 'twist_class_level': 637, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47724773
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 508, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58547070067278461, 'source_is_minimal': False, 'source_label': '637.2.e.n.508.5', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795189371517, 'target_is_minimal': True, 'target_label': '637.2.a.n.1.2', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.2', 'twist_class_level': 637, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47724774
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 508, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58547070067278461, 'source_is_minimal': False, 'source_label': '637.2.e.n.508.5', 'source_level': 637, 'target_conrey_index': 79, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 63050669694648957, 'target_is_minimal': False, 'target_label': '637.2.e.o.79.5', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.2', 'twist_class_level': 637, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47724775
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 508, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58547070067278461, 'source_is_minimal': False, 'source_label': '637.2.e.n.508.5', 'source_level': 637, 'target_conrey_index': 508, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 63050669694648957, 'target_is_minimal': False, 'target_label': '637.2.e.o.508.5', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.2', 'twist_class_level': 637, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 47724776
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 508, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58547070067278461, 'source_is_minimal': False, 'source_label': '637.2.e.n.508.5', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 193654784010491493, 'target_is_minimal': False, 'target_label': '5733.2.a.br.1.5', 'target_level': 5733, 'twist_class_label': '637.2.a.m.1.2', 'twist_class_level': 637, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47724777
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 508, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58547070067278461, 'source_is_minimal': False, 'source_label': '637.2.e.n.508.5', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 207165582892602981, 'target_is_minimal': False, 'target_label': '5733.2.a.bu.1.5', 'target_level': 5733, 'twist_class_label': '637.2.a.m.1.2', 'twist_class_level': 637, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 47724778
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 508, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58547070067278461, 'source_is_minimal': False, 'source_label': '637.2.e.n.508.5', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 247697979538939993, 'target_is_minimal': False, 'target_label': '8281.2.a.cd.1.5', 'target_level': 8281, 'twist_class_label': '637.2.a.m.1.2', 'twist_class_level': 637, 'twisting_char_label': '91.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 47724779
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 508, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58547070067278461, 'source_is_minimal': False, 'source_label': '637.2.e.n.508.5', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 243194379911569497, 'target_is_minimal': False, 'target_label': '8281.2.a.cc.1.5', 'target_level': 8281, 'twist_class_label': '637.2.a.m.1.2', 'twist_class_level': 637, 'twisting_char_label': '91.38', 'twisting_conrey_index': 38, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1147025
{'charpoly_factorization': [[[4, 8, 44, -56, 180, -64, 108, -4, 50, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 58547070067278461, 'p': 2}
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id: 1147026
{'charpoly_factorization': [[[4, -16, 88, 48, 200, 192, 452, 424, 316, 136, 44, 8, 1], 1]], 'hecke_orbit_code': 58547070067278461, 'p': 3}
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id: 1147027
{'charpoly_factorization': [[[961, 806, 1637, 682, 1430, 670, 637, 278, 200, 78, 31, 6, 1], 1]], 'hecke_orbit_code': 58547070067278461, 'p': 5}
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id: 1147028
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 58547070067278461, 'p': 7}
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id: 1147029
{'charpoly_factorization': [[[315844, -388904, 583396, -46632, 121192, 21328, 27512, 5132, 1882, 160, 54, 4, 1], 1]], 'hecke_orbit_code': 58547070067278461, 'p': 11}
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id: 1147030
{'charpoly_factorization': [[[-1, 1], 12]], 'hecke_orbit_code': 58547070067278461, 'p': 13}
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id: 1147031
{'charpoly_factorization': [[[28026436, 35956848, 31350416, 15532752, 5891120, 1580608, 359412, 64408, 11112, 1544, 200, 16, 1], 1]], 'hecke_orbit_code': 58547070067278461, 'p': 17}
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id: 1147032
{'charpoly_factorization': [[[5329, -438, 6095, -1838, 5744, -1270, 1509, -54, 238, -2, 21, 2, 1], 1]], 'hecke_orbit_code': 58547070067278461, 'p': 19}
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id: 1147033
{'charpoly_factorization': [[[279841, -462346, 853277, -140070, 285862, -113818, 63545, -12966, 3170, -322, 73, -6, 1], 1]], 'hecke_orbit_code': 58547070067278461, 'p': 23}
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id: 1147034
{'charpoly_factorization': [[[529, 230, -401, -268, -33, 6, 1], 2]], 'hecke_orbit_code': 58547070067278461, 'p': 29}
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id: 1147035
{'charpoly_factorization': [[[1957974001, -444525454, 285927185, -2954658, 17495494, -78862, 590105, 18294, 12092, 326, 151, 6, 1], 1]], 'hecke_orbit_code': 58547070067278461, 'p': 31}
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id: 1147036
{'charpoly_factorization': [[[64516, 181864, 416644, 390536, 332688, 28216, 87200, 20068, 6346, 472, 82, 0, 1], 1]], 'hecke_orbit_code': 58547070067278461, 'p': 37}
-
id: 1147037
{'charpoly_factorization': [[[28784, 19744, 1720, -968, -120, 8, 1], 2]], 'hecke_orbit_code': 58547070067278461, 'p': 41}
-
id: 1147038
{'charpoly_factorization': [[[35153, 29214, 6575, -188, -161, -2, 1], 2]], 'hecke_orbit_code': 58547070067278461, 'p': 43}
-
id: 1147039
{'charpoly_factorization': [[[18391970689, 14558484950, 8049379343, 2348988030, 526715296, 80011070, 10648181, 1111710, 116246, 9410, 685, 30, 1], 1]], 'hecke_orbit_code': 58547070067278461, 'p': 47}
-
id: 1147040
{'charpoly_factorization': [[[1739761, 4466134, 13046477, -2265974, 3691278, 583222, 456721, 5026, 9690, -842, 233, -14, 1], 1]], 'hecke_orbit_code': 58547070067278461, 'p': 53}
-
id: 1147041
{'charpoly_factorization': [[[2347024, -1164320, 2471152, 1074176, 1270584, 313072, 203696, 52144, 23608, 3592, 430, 24, 1], 1]], 'hecke_orbit_code': 58547070067278461, 'p': 59}
-
id: 1147042
{'charpoly_factorization': [[[46908629056, -4498016512, 3951232992, 289006720, 213173856, 8397632, 3577368, 48320, 44264, 224, 246, 0, 1], 1]], 'hecke_orbit_code': 58547070067278461, 'p': 61}
-
id: 1147043
{'charpoly_factorization': [[[37356544, 22687744, 25905152, 2414592, 6905856, 1684992, 592832, 67200, 14784, 1600, 256, 16, 1], 1]], 'hecke_orbit_code': 58547070067278461, 'p': 67}
-
id: 1147044
{'charpoly_factorization': [[[-1206162, -104028, 33274, 1856, -316, -8, 1], 2]], 'hecke_orbit_code': 58547070067278461, 'p': 71}
-
id: 1147045
{'charpoly_factorization': [[[20351019649, 3171835738, 2207803983, -36518862, 127848856, -155958, 3128797, -72830, 50918, -170, 277, -6, 1], 1]], 'hecke_orbit_code': 58547070067278461, 'p': 73}
-
id: 1147046
{'charpoly_factorization': [[[62615569, -75062718, 178047973, 55369622, 154458578, -36708454, 9145333, -705342, 85138, -4914, 549, -22, 1], 1]], 'hecke_orbit_code': 58547070067278461, 'p': 79}
-
id: 1147047
{'charpoly_factorization': [[[-167041, 13034, 26145, -7992, 941, -50, 1], 2]], 'hecke_orbit_code': 58547070067278461, 'p': 83}
-
id: 1147048
{'charpoly_factorization': [[[99181681, 258934, 90159503, 23427206, 80683068, 11007086, 2616529, 315154, 57102, 5782, 545, 26, 1], 1]], 'hecke_orbit_code': 58547070067278461, 'p': 89}
-
id: 1147049
{'charpoly_factorization': [[[217287, 193902, 13171, -3620, -261, 14, 1], 2]], 'hecke_orbit_code': 58547070067278461, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 14, 'label': '637.2.e.n', 'level': 637, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 229677000
{'hecke_orbit_code': 58547070067278461, 'n': 1, 'trace_an': 12}
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id: 229677001
{'hecke_orbit_code': 58547070067278461, 'n': 2, 'trace_an': 0}
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id: 229677002
{'hecke_orbit_code': 58547070067278461, 'n': 3, 'trace_an': -8}
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id: 229677003
{'hecke_orbit_code': 58547070067278461, 'n': 4, 'trace_an': -4}
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id: 229677004
{'hecke_orbit_code': 58547070067278461, 'n': 5, 'trace_an': -6}
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id: 229677005
{'hecke_orbit_code': 58547070067278461, 'n': 6, 'trace_an': 8}
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id: 229677006
{'hecke_orbit_code': 58547070067278461, 'n': 7, 'trace_an': 0}
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id: 229677007
{'hecke_orbit_code': 58547070067278461, 'n': 8, 'trace_an': 0}
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id: 229677008
{'hecke_orbit_code': 58547070067278461, 'n': 9, 'trace_an': -6}
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id: 229677009
{'hecke_orbit_code': 58547070067278461, 'n': 10, 'trace_an': -4}
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id: 229677010
{'hecke_orbit_code': 58547070067278461, 'n': 11, 'trace_an': -4}
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id: 229677011
{'hecke_orbit_code': 58547070067278461, 'n': 12, 'trace_an': 4}
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id: 229677012
{'hecke_orbit_code': 58547070067278461, 'n': 13, 'trace_an': 12}
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id: 229677013
{'hecke_orbit_code': 58547070067278461, 'n': 14, 'trace_an': 0}
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id: 229677014
{'hecke_orbit_code': 58547070067278461, 'n': 15, 'trace_an': 24}
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id: 229677015
{'hecke_orbit_code': 58547070067278461, 'n': 16, 'trace_an': 0}
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id: 229677016
{'hecke_orbit_code': 58547070067278461, 'n': 17, 'trace_an': -16}
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id: 229677017
{'hecke_orbit_code': 58547070067278461, 'n': 18, 'trace_an': 4}
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id: 229677018
{'hecke_orbit_code': 58547070067278461, 'n': 19, 'trace_an': -2}
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id: 229677019
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id: 229677984
{'hecke_orbit_code': 58547070067278461, 'n': 985, 'trace_an': -56}
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id: 229677985
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id: 229677986
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id: 229677987
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id: 229677988
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id: 229677989
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id: 229677990
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id: 229677991
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id: 229677992
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id: 229677993
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id: 229677994
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id: 229677995
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id: 229677996
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id: 229677997
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id: 229677998
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id: 229677999
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