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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, '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': 15, 'hecke_orbit_code': 63050669694648957, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '637.2.e.o', 'level': 637, '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': [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': 1827351478009243831, 'trace_moments': 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mf_hecke_cc • Show schema
Hide schema
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'weight': 2}
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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_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': [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, 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mf_twists_cc • Show schema
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id: 47857521
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050669694648957, 'source_is_minimal': False, 'source_label': '637.2.e.o.79.3', 'source_level': 637, 'target_conrey_index': 79, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 63050669694648957, 'target_is_minimal': False, 'target_label': '637.2.e.o.79.3', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.4', 'twist_class_level': 637, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47857522
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050669694648957, 'source_is_minimal': False, 'source_label': '637.2.e.o.79.3', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 54043195562001021, 'target_is_minimal': True, 'target_label': '637.2.a.m.1.4', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.4', 'twist_class_level': 637, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47857523
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050669694648957, 'source_is_minimal': False, 'source_label': '637.2.e.o.79.3', 'source_level': 637, 'target_conrey_index': 508, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 58547070067278461, 'target_is_minimal': False, 'target_label': '637.2.e.n.508.3', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.4', 'twist_class_level': 637, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47857524
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050669694648957, 'source_is_minimal': False, 'source_label': '637.2.e.o.79.3', 'source_level': 637, 'target_conrey_index': 508, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 63050669694648957, 'target_is_minimal': False, 'target_label': '637.2.e.o.508.3', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.4', 'twist_class_level': 637, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47857525
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050669694648957, 'source_is_minimal': False, 'source_label': '637.2.e.o.79.3', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 58546795189371517, 'target_is_minimal': True, 'target_label': '637.2.a.n.1.4', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.4', 'twist_class_level': 637, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47857526
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050669694648957, 'source_is_minimal': False, 'source_label': '637.2.e.o.79.3', 'source_level': 637, 'target_conrey_index': 79, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 58547070067278461, 'target_is_minimal': False, 'target_label': '637.2.e.n.79.3', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.4', 'twist_class_level': 637, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 47857527
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050669694648957, 'source_is_minimal': False, 'source_label': '637.2.e.o.79.3', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 207165582892602981, 'target_is_minimal': False, 'target_label': '5733.2.a.bu.1.3', 'target_level': 5733, 'twist_class_label': '637.2.a.m.1.4', 'twist_class_level': 637, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47857528
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050669694648957, 'source_is_minimal': False, 'source_label': '637.2.e.o.79.3', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 193654784010491493, 'target_is_minimal': False, 'target_label': '5733.2.a.br.1.3', 'target_level': 5733, 'twist_class_label': '637.2.a.m.1.4', 'twist_class_level': 637, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47857529
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050669694648957, 'source_is_minimal': False, 'source_label': '637.2.e.o.79.3', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 247697979538939993, 'target_is_minimal': False, 'target_label': '8281.2.a.cd.1.3', 'target_level': 8281, 'twist_class_label': '637.2.a.m.1.4', 'twist_class_level': 637, 'twisting_char_label': '91.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 47857530
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050669694648957, 'source_is_minimal': False, 'source_label': '637.2.e.o.79.3', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 243194379911569497, 'target_is_minimal': False, 'target_label': '8281.2.a.cc.1.3', 'target_level': 8281, 'twist_class_label': '637.2.a.m.1.4', 'twist_class_level': 637, 'twisting_char_label': '91.51', 'twisting_conrey_index': 51, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1147050
{'charpoly_factorization': [[[4, 8, 44, -56, 180, -64, 108, -4, 50, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 63050669694648957, 'p': 2}
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id: 1147051
{'charpoly_factorization': [[[4, 16, 88, -48, 200, -192, 452, -424, 316, -136, 44, -8, 1], 1]], 'hecke_orbit_code': 63050669694648957, 'p': 3}
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id: 1147052
{'charpoly_factorization': [[[961, -806, 1637, -682, 1430, -670, 637, -278, 200, -78, 31, -6, 1], 1]], 'hecke_orbit_code': 63050669694648957, 'p': 5}
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id: 1147053
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 63050669694648957, 'p': 7}
-
id: 1147054
{'charpoly_factorization': [[[315844, -388904, 583396, -46632, 121192, 21328, 27512, 5132, 1882, 160, 54, 4, 1], 1]], 'hecke_orbit_code': 63050669694648957, 'p': 11}
-
id: 1147055
{'charpoly_factorization': [[[1, 1], 12]], 'hecke_orbit_code': 63050669694648957, 'p': 13}
-
id: 1147056
{'charpoly_factorization': [[[28026436, -35956848, 31350416, -15532752, 5891120, -1580608, 359412, -64408, 11112, -1544, 200, -16, 1], 1]], 'hecke_orbit_code': 63050669694648957, 'p': 17}
-
id: 1147057
{'charpoly_factorization': [[[5329, 438, 6095, 1838, 5744, 1270, 1509, 54, 238, 2, 21, -2, 1], 1]], 'hecke_orbit_code': 63050669694648957, 'p': 19}
-
id: 1147058
{'charpoly_factorization': [[[279841, -462346, 853277, -140070, 285862, -113818, 63545, -12966, 3170, -322, 73, -6, 1], 1]], 'hecke_orbit_code': 63050669694648957, 'p': 23}
-
id: 1147059
{'charpoly_factorization': [[[529, 230, -401, -268, -33, 6, 1], 2]], 'hecke_orbit_code': 63050669694648957, 'p': 29}
-
id: 1147060
{'charpoly_factorization': [[[1957974001, 444525454, 285927185, 2954658, 17495494, 78862, 590105, -18294, 12092, -326, 151, -6, 1], 1]], 'hecke_orbit_code': 63050669694648957, 'p': 31}
-
id: 1147061
{'charpoly_factorization': [[[64516, 181864, 416644, 390536, 332688, 28216, 87200, 20068, 6346, 472, 82, 0, 1], 1]], 'hecke_orbit_code': 63050669694648957, 'p': 37}
-
id: 1147062
{'charpoly_factorization': [[[28784, -19744, 1720, 968, -120, -8, 1], 2]], 'hecke_orbit_code': 63050669694648957, 'p': 41}
-
id: 1147063
{'charpoly_factorization': [[[35153, 29214, 6575, -188, -161, -2, 1], 2]], 'hecke_orbit_code': 63050669694648957, 'p': 43}
-
id: 1147064
{'charpoly_factorization': [[[18391970689, -14558484950, 8049379343, -2348988030, 526715296, -80011070, 10648181, -1111710, 116246, -9410, 685, -30, 1], 1]], 'hecke_orbit_code': 63050669694648957, 'p': 47}
-
id: 1147065
{'charpoly_factorization': [[[1739761, 4466134, 13046477, -2265974, 3691278, 583222, 456721, 5026, 9690, -842, 233, -14, 1], 1]], 'hecke_orbit_code': 63050669694648957, 'p': 53}
-
id: 1147066
{'charpoly_factorization': [[[2347024, 1164320, 2471152, -1074176, 1270584, -313072, 203696, -52144, 23608, -3592, 430, -24, 1], 1]], 'hecke_orbit_code': 63050669694648957, 'p': 59}
-
id: 1147067
{'charpoly_factorization': [[[46908629056, 4498016512, 3951232992, -289006720, 213173856, -8397632, 3577368, -48320, 44264, -224, 246, 0, 1], 1]], 'hecke_orbit_code': 63050669694648957, 'p': 61}
-
id: 1147068
{'charpoly_factorization': [[[37356544, 22687744, 25905152, 2414592, 6905856, 1684992, 592832, 67200, 14784, 1600, 256, 16, 1], 1]], 'hecke_orbit_code': 63050669694648957, 'p': 67}
-
id: 1147069
{'charpoly_factorization': [[[-1206162, -104028, 33274, 1856, -316, -8, 1], 2]], 'hecke_orbit_code': 63050669694648957, 'p': 71}
-
id: 1147070
{'charpoly_factorization': [[[20351019649, -3171835738, 2207803983, 36518862, 127848856, 155958, 3128797, 72830, 50918, 170, 277, 6, 1], 1]], 'hecke_orbit_code': 63050669694648957, 'p': 73}
-
id: 1147071
{'charpoly_factorization': [[[62615569, -75062718, 178047973, 55369622, 154458578, -36708454, 9145333, -705342, 85138, -4914, 549, -22, 1], 1]], 'hecke_orbit_code': 63050669694648957, 'p': 79}
-
id: 1147072
{'charpoly_factorization': [[[-167041, -13034, 26145, 7992, 941, 50, 1], 2]], 'hecke_orbit_code': 63050669694648957, 'p': 83}
-
id: 1147073
{'charpoly_factorization': [[[99181681, -258934, 90159503, -23427206, 80683068, -11007086, 2616529, -315154, 57102, -5782, 545, -26, 1], 1]], 'hecke_orbit_code': 63050669694648957, 'p': 89}
-
id: 1147074
{'charpoly_factorization': [[[217287, -193902, 13171, 3620, -261, -14, 1], 2]], 'hecke_orbit_code': 63050669694648957, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 15, 'label': '637.2.e.o', 'level': 637, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 60277549
{'hecke_orbit_code': 63050669694648957, 'n': 1, 'trace_an': 12}
-
id: 60277550
{'hecke_orbit_code': 63050669694648957, 'n': 2, 'trace_an': 0}
-
id: 60277551
{'hecke_orbit_code': 63050669694648957, 'n': 3, 'trace_an': 8}
-
id: 60277552
{'hecke_orbit_code': 63050669694648957, 'n': 4, 'trace_an': -4}
-
id: 60277553
{'hecke_orbit_code': 63050669694648957, 'n': 5, 'trace_an': 6}
-
id: 60277554
{'hecke_orbit_code': 63050669694648957, 'n': 6, 'trace_an': -8}
-
id: 60277555
{'hecke_orbit_code': 63050669694648957, 'n': 7, 'trace_an': 0}
-
id: 60277556
{'hecke_orbit_code': 63050669694648957, 'n': 8, 'trace_an': 0}
-
id: 60277557
{'hecke_orbit_code': 63050669694648957, 'n': 9, 'trace_an': -6}
-
id: 60277558
{'hecke_orbit_code': 63050669694648957, 'n': 10, 'trace_an': 4}
-
id: 60277559
{'hecke_orbit_code': 63050669694648957, 'n': 11, 'trace_an': -4}
-
id: 60277560
{'hecke_orbit_code': 63050669694648957, 'n': 12, 'trace_an': -4}
-
id: 60277561
{'hecke_orbit_code': 63050669694648957, 'n': 13, 'trace_an': -12}
-
id: 60277562
{'hecke_orbit_code': 63050669694648957, 'n': 14, 'trace_an': 0}
-
id: 60277563
{'hecke_orbit_code': 63050669694648957, 'n': 15, 'trace_an': 24}
-
id: 60277564
{'hecke_orbit_code': 63050669694648957, 'n': 16, 'trace_an': 0}
-
id: 60277565
{'hecke_orbit_code': 63050669694648957, 'n': 17, 'trace_an': 16}
-
id: 60277566
{'hecke_orbit_code': 63050669694648957, 'n': 18, 'trace_an': 4}
-
id: 60277567
{'hecke_orbit_code': 63050669694648957, 'n': 19, 'trace_an': 2}
-
id: 60277568
{'hecke_orbit_code': 63050669694648957, 'n': 20, 'trace_an': -32}
-
id: 60277569
{'hecke_orbit_code': 63050669694648957, 'n': 21, 'trace_an': 0}
-
id: 60277570
{'hecke_orbit_code': 63050669694648957, 'n': 22, 'trace_an': -24}
-
id: 60277571
{'hecke_orbit_code': 63050669694648957, 'n': 23, 'trace_an': 6}
-
id: 60277572
{'hecke_orbit_code': 63050669694648957, 'n': 24, 'trace_an': 12}
-
id: 60277573
{'hecke_orbit_code': 63050669694648957, 'n': 25, 'trace_an': 4}
-
id: 60277574
{'hecke_orbit_code': 63050669694648957, 'n': 26, 'trace_an': 0}
-
id: 60277575
{'hecke_orbit_code': 63050669694648957, 'n': 27, 'trace_an': -40}
-
id: 60277576
{'hecke_orbit_code': 63050669694648957, 'n': 28, 'trace_an': 0}
-
id: 60277577
{'hecke_orbit_code': 63050669694648957, 'n': 29, 'trace_an': -12}
-
id: 60277578
{'hecke_orbit_code': 63050669694648957, 'n': 30, 'trace_an': 0}
-
id: 60277579
{'hecke_orbit_code': 63050669694648957, 'n': 31, 'trace_an': 6}
-
id: 60277580
{'hecke_orbit_code': 63050669694648957, 'n': 32, 'trace_an': 20}
-
id: 60277581
{'hecke_orbit_code': 63050669694648957, 'n': 33, 'trace_an': 4}
-
id: 60277582
{'hecke_orbit_code': 63050669694648957, 'n': 34, 'trace_an': 0}
-
id: 60277583
{'hecke_orbit_code': 63050669694648957, 'n': 35, 'trace_an': 0}
-
id: 60277584
{'hecke_orbit_code': 63050669694648957, 'n': 36, 'trace_an': -48}
-
id: 60277585
{'hecke_orbit_code': 63050669694648957, 'n': 37, 'trace_an': 0}
-
id: 60277586
{'hecke_orbit_code': 63050669694648957, 'n': 38, 'trace_an': 8}
-
id: 60277587
{'hecke_orbit_code': 63050669694648957, 'n': 39, 'trace_an': -8}
-
id: 60277588
{'hecke_orbit_code': 63050669694648957, 'n': 40, 'trace_an': 4}
-
id: 60277589
{'hecke_orbit_code': 63050669694648957, 'n': 41, 'trace_an': 16}
-
id: 60277590
{'hecke_orbit_code': 63050669694648957, 'n': 42, 'trace_an': 0}
-
id: 60277591
{'hecke_orbit_code': 63050669694648957, 'n': 43, 'trace_an': 4}
-
id: 60277592
{'hecke_orbit_code': 63050669694648957, 'n': 44, 'trace_an': 4}
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id: 60277593
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