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mf_newforms • Show schema
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{'Nk2': 276, 'analytic_conductor': 0.5509677739468346, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 23, 'char_degree': 10, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 11, 'char_parity': 1, 'char_values': [69, 11, [47, 28], [11, 2]], 'cm_discs': [], 'conrey_index': 4, 'dim': 10, 'field_disc': -2357947691, 'field_disc_factorization': [[-1, 1], [11, 9]], 'field_poly': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 22, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 3, 20, 71, 125, 78, 36, 9, 5, 4, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 274911461445, '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, 23, 3, 1, 11, 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': '69.2.e.a', 'level': 69, '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, 23], 'level_radical': 69, 'minimal_twist': '69.2.e.a', 'nf_label': '10.0.2357947691.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1+\\zeta_{22}-\\zeta_{22}^{2}-\\zeta_{22}^{4}-\\zeta_{22}^{6}+\\cdots)q^{2}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c11', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '69.2.e', 'trace_display': [-4, 1, 5, -8], 'trace_hash': 2161399023282763843, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.498', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_cc • Show schema
Hide schema
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-
mf_newspaces • Show schema
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{'Nk2': 276, 'analytic_conductor': 0.5509677739468346, 'char_conductor': 23, 'char_degree': 10, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 11, 'char_parity': 1, 'char_values': [69, 11, [47, 28], [11, 2]], 'conrey_index': 4, 'cusp_dim': 60, 'dim': 40, 'eis_dim': 40, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274911461445, 'hecke_orbit_dims': [10, 10, 20], 'label': '69.2.e', 'level': 69, '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, 23], 'level_radical': 69, 'mf_dim': 100, 'mf_new_dim': 40, 'num_forms': 3, 'prim_orbit_index': 3, 'relative_dim': 4, 'sturm_bound': 16, 'trace_bound': 2, 'trace_display': [-4, 0, -4, -8], 'traces': [40, -4, 0, -12, -4, -4, -8, -12, -4, -8, -24, 0, -8, -12, -8, 16, 10, -4, -10, 52, -4, 4, 20, -12, 16, -12, 0, 24, -10, -28, -10, -24, -8, -26, -12, 10, 4, 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mf_twists_cc • Show schema
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id: 2438587
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 64, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461445, 'source_is_minimal': True, 'source_label': '69.2.e.a.64.1', 'source_level': 69, 'target_conrey_index': 64, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461445, 'target_is_minimal': True, 'target_label': '69.2.e.a.64.1', 'target_level': 69, 'twist_class_label': '69.2.e.a.55.1', 'twist_class_level': 69, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 2438588
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 64, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461445, 'source_is_minimal': True, 'source_label': '69.2.e.a.64.1', 'source_level': 69, 'target_conrey_index': 64, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416739023, 'target_is_minimal': False, 'target_label': '207.2.i.b.64.1', 'target_level': 207, 'twist_class_label': '69.2.e.a.55.1', 'twist_class_level': 69, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2438589
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 64, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461445, 'source_is_minimal': True, 'source_label': '69.2.e.a.64.1', 'source_level': 69, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 63050394816742963, 'target_is_minimal': False, 'target_label': '1587.2.a.o.1.5', 'target_level': 1587, 'twist_class_label': '69.2.e.a.55.1', 'twist_class_level': 69, 'twisting_char_label': '23.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 2438590
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 64, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461445, 'source_is_minimal': True, 'source_label': '69.2.e.a.64.1', 'source_level': 69, 'target_conrey_index': 55, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461445, 'target_is_minimal': True, 'target_label': '69.2.e.a.55.1', 'target_level': 69, 'twist_class_label': '69.2.e.a.55.1', 'twist_class_level': 69, 'twisting_char_label': '23.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 2438591
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 64, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461445, 'source_is_minimal': True, 'source_label': '69.2.e.a.64.1', 'source_level': 69, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 67553994444113459, 'target_is_minimal': False, 'target_label': '1587.2.a.p.1.5', 'target_level': 1587, 'twist_class_label': '69.2.e.a.55.1', 'twist_class_level': 69, 'twisting_char_label': '23.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 2438592
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': 1, 'source_conrey_index': 64, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461445, 'source_is_minimal': True, 'source_label': '69.2.e.a.64.1', 'source_level': 69, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 189151184383120025, 'target_is_minimal': False, 'target_label': '4761.2.a.bq.1.1', 'target_level': 4761, 'twist_class_label': '69.2.e.a.55.1', 'twist_class_level': 69, 'twisting_char_label': '69.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 2438593
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 64, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461445, 'source_is_minimal': True, 'source_label': '69.2.e.a.64.1', 'source_level': 69, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 193654784010490521, 'target_is_minimal': False, 'target_label': '4761.2.a.br.1.1', 'target_level': 4761, 'twist_class_label': '69.2.e.a.55.1', 'twist_class_level': 69, 'twisting_char_label': '69.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 2438594
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 64, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461445, 'source_is_minimal': True, 'source_label': '69.2.e.a.64.1', 'source_level': 69, 'target_conrey_index': 55, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416739023, 'target_is_minimal': False, 'target_label': '207.2.i.b.55.1', 'target_level': 207, 'twist_class_label': '69.2.e.a.55.1', 'twist_class_level': 69, 'twisting_char_label': '69.32', 'twisting_conrey_index': 32, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 218775
{'charpoly_factorization': [[[1, 3, 20, 71, 125, 78, 36, 9, 5, 4, 1], 1]], 'hecke_orbit_code': 274911461445, 'p': 2}
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id: 218776
{'charpoly_factorization': [[[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 274911461445, 'p': 3}
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id: 218777
{'charpoly_factorization': [[[1, 2, 4, 8, 16, 10, 20, 7, 3, -5, 1], 1]], 'hecke_orbit_code': 274911461445, 'p': 5}
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id: 218778
{'charpoly_factorization': [[[1, -26, 247, -251, 256, 65, 81, 105, 42, 8, 1], 1]], 'hecke_orbit_code': 274911461445, 'p': 7}
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id: 218779
{'charpoly_factorization': [[[529, -2208, 11317, -6111, 3282, -813, -74, 31, 16, -7, 1], 1]], 'hecke_orbit_code': 274911461445, 'p': 11}
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id: 218780
{'charpoly_factorization': [[[2042041, 2630789, 1984933, 1038776, 401294, 116610, 25359, 4010, 438, 30, 1], 1]], 'hecke_orbit_code': 274911461445, 'p': 13}
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id: 218781
{'charpoly_factorization': [[[17161, -46898, 69457, -57347, 27223, -2608, 720, 228, -18, 2, 1], 1]], 'hecke_orbit_code': 274911461445, 'p': 17}
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id: 218782
{'charpoly_factorization': [[[1, 1, 67, 254, 56, -362, 375, -186, 56, -10, 1], 1]], 'hecke_orbit_code': 274911461445, 'p': 19}
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id: 218783
{'charpoly_factorization': [[[6436343, 279841, 12167, -11109, -5037, 1365, -219, -21, 1, 1, 1], 1]], 'hecke_orbit_code': 274911461445, 'p': 23}
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id: 218784
{'charpoly_factorization': [[[734449, -785869, 489428, -141572, -5046, 2509, 2061, 456, 108, 14, 1], 1]], 'hecke_orbit_code': 274911461445, 'p': 29}
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id: 218785
{'charpoly_factorization': [[[4489, 15611, 43586, 58462, 75355, 17302, 4519, 1514, 300, 28, 1], 1]], 'hecke_orbit_code': 274911461445, 'p': 31}
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id: 218786
{'charpoly_factorization': [[[14645929, -1530800, 4754029, 30677, 104954, -90947, 15426, -1293, 152, -19, 1], 1]], 'hecke_orbit_code': 274911461445, 'p': 37}
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id: 218787
{'charpoly_factorization': [[[38809, -130808, 192384, -143178, 70557, -25211, 6736, -1348, 196, -19, 1], 1]], 'hecke_orbit_code': 274911461445, 'p': 41}
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id: 218788
{'charpoly_factorization': [[[1739761, -4201015, 5725976, -1090225, -2290, 15971, 10202, 2417, 301, 24, 1], 1]], 'hecke_orbit_code': 274911461445, 'p': 43}
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id: 218789
{'charpoly_factorization': [[[-2507, -249, 486, -27, -13, 1], 2]], 'hecke_orbit_code': 274911461445, 'p': 47}
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id: 218790
{'charpoly_factorization': [[[94249, -868196, 11874435, 2059861, 277410, 10308, 309, -615, -54, 1, 1], 1]], 'hecke_orbit_code': 274911461445, 'p': 53}
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id: 218791
{'charpoly_factorization': [[[1515361, 1347945, 776339, -486449, 76569, -7908, 390, 124, 37, -2, 1], 1]], 'hecke_orbit_code': 274911461445, 'p': 59}
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id: 218792
{'charpoly_factorization': [[[519520849, -470515899, 176708273, -37867403, 5860649, -734832, 87916, -8058, 581, -30, 1], 1]], 'hecke_orbit_code': 274911461445, 'p': 61}
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id: 218793
{'charpoly_factorization': [[[24930049, -12397619, 5237450, -1932518, 544350, 23407, 6559, -1582, 16, -4, 1], 1]], 'hecke_orbit_code': 274911461445, 'p': 67}
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id: 218794
{'charpoly_factorization': [[[4663114369, 1933204970, 476186716, 67817495, 5686486, 225182, 1291, 533, 130, 14, 1], 1]], 'hecke_orbit_code': 274911461445, 'p': 71}
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id: 218795
{'charpoly_factorization': [[[12243001, 10979862, 5751117, 1812453, 497842, 112157, 16591, 2077, 302, 26, 1], 1]], 'hecke_orbit_code': 274911461445, 'p': 73}
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id: 218796
{'charpoly_factorization': [[[326041, 1824345, 3339592, 1960009, 562142, -143375, 27494, -3215, 323, -20, 1], 1]], 'hecke_orbit_code': 274911461445, 'p': 79}
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id: 218797
{'charpoly_factorization': [[[529, 2346, 3804, -17, 224, -2914, 1455, -321, 192, -18, 1], 1]], 'hecke_orbit_code': 274911461445, 'p': 83}
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id: 218798
{'charpoly_factorization': [[[3373402561, 951831428, 245566468, 48380027, 6467928, 201279, -21254, -3923, -19, 5, 1], 1]], 'hecke_orbit_code': 274911461445, 'p': 89}
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id: 218799
{'charpoly_factorization': [[[83740801, 174070322, 69232216, -33910772, 6267309, -558724, 111642, -3782, 379, -15, 1], 1]], 'hecke_orbit_code': 274911461445, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 1, 'label': '69.2.e.a', 'level': 69, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 7437432
{'hecke_orbit_code': 274911461445, 'n': 1, 'trace_an': 10}
-
id: 7437433
{'hecke_orbit_code': 274911461445, 'n': 2, 'trace_an': -4}
-
id: 7437434
{'hecke_orbit_code': 274911461445, 'n': 3, 'trace_an': 1}
-
id: 7437435
{'hecke_orbit_code': 274911461445, 'n': 4, 'trace_an': 8}
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id: 7437436
{'hecke_orbit_code': 274911461445, 'n': 5, 'trace_an': 5}
-
id: 7437437
{'hecke_orbit_code': 274911461445, 'n': 6, 'trace_an': -7}
-
id: 7437438
{'hecke_orbit_code': 274911461445, 'n': 7, 'trace_an': -8}
-
id: 7437439
{'hecke_orbit_code': 274911461445, 'n': 8, 'trace_an': -15}
-
id: 7437440
{'hecke_orbit_code': 274911461445, 'n': 9, 'trace_an': -1}
-
id: 7437441
{'hecke_orbit_code': 274911461445, 'n': 10, 'trace_an': -2}
-
id: 7437442
{'hecke_orbit_code': 274911461445, 'n': 11, 'trace_an': 7}
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id: 7437443
{'hecke_orbit_code': 274911461445, 'n': 12, 'trace_an': 14}
-
id: 7437444
{'hecke_orbit_code': 274911461445, 'n': 13, 'trace_an': -30}
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id: 7437445
{'hecke_orbit_code': 274911461445, 'n': 14, 'trace_an': 1}
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id: 7437446
{'hecke_orbit_code': 274911461445, 'n': 15, 'trace_an': -5}
-
id: 7437447
{'hecke_orbit_code': 274911461445, 'n': 16, 'trace_an': 12}
-
id: 7437448
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id: 7437655
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id: 7437656
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id: 7437657
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id: 7437658
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id: 7437659
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id: 7437660
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id: 7437661
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id: 7437662
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id: 7437663
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id: 7437664
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id: 7437665
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id: 7437666
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id: 7437667
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id: 7437668
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id: 7437669
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id: 7437670
{'hecke_orbit_code': 274911461445, 'n': 863, 'trace_an': 48}
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id: 7437671
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id: 7437672
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id: 7437673
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id: 7437674
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id: 7437675
{'hecke_orbit_code': 274911461445, 'n': 907, 'trace_an': 99}
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id: 7437676
{'hecke_orbit_code': 274911461445, 'n': 911, 'trace_an': 136}
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id: 7437677
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id: 7437678
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id: 7437679
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id: 7437680
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id: 7437681
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id: 7437682
{'hecke_orbit_code': 274911461445, 'n': 953, 'trace_an': 25}
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id: 7437683
{'hecke_orbit_code': 274911461445, 'n': 961, 'trace_an': 215}
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id: 7437684
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id: 7437685
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id: 7437686
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id: 7437687
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id: 7437688
{'hecke_orbit_code': 274911461445, 'n': 991, 'trace_an': -151}
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id: 7437689
{'hecke_orbit_code': 274911461445, 'n': 997, 'trace_an': -24}