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{'Nk2': 8400, 'analytic_conductor': 30.976002753013823, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, 1], [7, -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': [525, 1, [176, 127, 451], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 26729725, 'field_disc_factorization': [[5, 2], [11, 1], [37, 2], [71, 1]], 'field_poly': [44, 19, -18, -2, 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, [10, -45, -6, 6, 1]], [11, [99334, 44829, -1323, -57, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793359778317, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '525.4.a.s', 'level': 525, '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': [3, 5, 7], 'level_radical': 105, 'minimal_twist': '525.4.a.s', 'nf_label': '4.4.26729725.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1-\\beta _{1})q^{2}-3q^{3}+(3+3\\beta _{1}+\\beta _{2}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '525.4.a', 'trace_display': [-6, -12, 0, 28], 'trace_hash': 2031713259388679608, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_cc • Show schema
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{'an_normalized': [[1.0, 0.0], [0.07684212461056573, 0.0], [-0.5773502691896257, 0.0], [-0.9940952878853343, 0.0], [0.0, 0.0], [-0.04436482132901289, 0.0], [0.37796447300922725, 0.0], [-0.1532305185970268, 0.0], [0.3333333333333333, 0.0], [0.0, 0.0], [-0.8389830780697475, 0.0], [0.5739411820607363, 0.0], [0.5401463248443154, 0.0], [0.029043593133341847, 0.0], [0.0, 0.0], [0.98232072928116, 0.0], [1.0395878187548449, 0.0], [0.025614041536855245, 0.0], [1.4816712658204165, 0.0], [0.0, 0.0], [-0.2182178902359924, 0.0], [-0.06446924223119153, 0.0], [-1.7611113800616731, 0.0], [0.08846768116005937, 0.0], [0.0, 0.0], [0.04150599120162599, 0.0], [-0.19245008972987526, 0.0], [-0.3757327016065364, 0.0], [0.31126550788073104, 0.0], [0.0, 0.0], [-1.6738471794319407, 0.0], [0.2287141304839915, 0.0], [0.4843871059691095, 0.0], [0.07988413671238602, 0.0], [0.0, 0.0], [-0.3313650959617781, 0.0], [0.07031436602388572, 0.0], [0.1138547680400671, 0.0], [-0.3118536260506525, 0.0], [0.0, 0.0], [1.7251681693724652, 0.0], [-0.016768326313768882, 0.0], [-0.5411007002777098, 0.0], [0.8340291245246695, 0.0], [0.0, 0.0], [-0.13532754011978446, 0.0], [-0.5103253495397414, 0.0], [-0.5671431374810272, 0.0], [0.14285714285714285, 0.0], [0.0, 0.0], [-0.6002063070043656, 0.0], [-0.5369569162963149, 0.0], [-1.5332557136032814, 0.0], [-0.01478827377633763, 0.0], [0.0, 0.0], [-0.057915692210455824, 0.0], [-0.855443304171951, 0.0], [0.023918302943542163, 0.0], [-0.39900274873960706, 0.0], [0.0, 0.0], [0.24300360941092855, 0.0], [-0.12862197354095317, 0.0], [0.12598815766974242, 0.0], [-0.9647458495663119, 0.0], [0.0, 0.0], [0.037221334356629616, 0.0], [-1.1036530698546092, 0.0], [-1.0334493519671843, 0.0], [1.0167781293515203, 0.0], [0.0, 0.0], [-1.6563401887826448, 0.0], [-0.051076839532342266, 0.0], [-1.38486214154799, 0.0], [0.005403105275920355, 0.0], [0.0, 0.0], [-1.4729224235471745, 0.0], [-0.31710579696629143, 0.0], [-0.023963495193241004, 0.0], [1.3756412369589512, 0.0], [0.0, 0.0], [0.1111111111111111, 0.0], [0.13256558744510052, 0.0], [-0.21281594256405112, 0.0], [0.21692937641587912, 0.0], [0.0, 0.0], [-0.041579327437604154, 0.0], [-0.17970922476438564, 0.0], [0.1285578121467572, 0.0], [-0.06148309191015158, 0.0], [0.0, 0.0], [0.2041561210176525, 0.0], [1.7507125243605473, 0.0], [0.9663961196273267, 0.0], [-0.03921448410126332, 0.0], [0.0, 0.0], [-0.1320481648024037, 0.0], [-1.5673117143311226, 0.0], [0.010977446372937962, 0.0], [-0.27966102602324916, 0.0], [0.0, 0.0]], 'angles': [-0.24388359256769288, None, None, None, -0.3188958066350769, -0.20647605420372875, -0.16300436566066187, -0.11721486833434017, -0.42141519107922215, -0.2251291784992456, -0.40782408337232, -0.24440340721066145, -0.08442229513006852, -0.2936028291851346, -0.2910645127935986, -0.3890334210105004, -0.2819661174589419, -0.23061448910975188, -0.3430344759859028, -0.4053089410333055, -0.37173016279948695, -0.12928378174542324, -0.26696747742332844, -0.2548934399550906, -0.3933236995182259, -0.2884215139772008, -0.24157428867598027, -0.27610358175064137, -0.2096225389229189, -0.3481824585853662, -0.20619871645331214, -0.2591425061167873, -0.14218846455220402, -0.2507003474665007, -0.30751622118188526, -0.09660210307983645, -0.23709656419722433, -0.23086912970093648, -0.3228859782838173, -0.20016001626997013, -0.3818369487628214, -0.0737924268473317, -0.21340180642068138, -0.29677138648822426, -0.19644215331263035, -0.23306193032111974, -0.2468304120749859, -0.1585722179714825, -0.4046444974857365, -0.26424145404784033, -0.26513610637785284, -0.39361939434586346, -0.3123079118784014, -0.39810266060611105, -0.06461345008749203, -0.3331914526263266, -0.38230073393934794, -0.22192983428071836, -0.20814723899548834, -0.23690775733139313, -0.16762485193538684, -0.2681538529595523, -0.3874274565648237, -0.2394221677362651, -0.33280008785987264, -0.3222033060362386, -0.16861640231699698, -0.4030774608223651, -0.12061277726263499, -0.2659281717506222, -0.37617851581266837, -0.3491557596639675, -0.27306426501192843, -0.3800803325153051, -0.12362354774823822, -0.3729733277430101, -0.16663513209528635, -0.24992813577229597, -0.23256081431280157, -0.37211912040213907, -0.28014542381532176, -0.13905216350633906, -0.12305500352042155, -0.18468665574407442, -0.21411392094395051, -0.3260505235657712, -0.05576002111788807, -0.13842817069485588, -0.43184556423480225, -0.38777155201045616, -0.3214489095893326, -0.17899375892049135, -0.23641373799694138, -0.44766040011288305, -0.21499428732827838, -0.16332957616670113, -0.38177869102574385, -0.348494802407266, -0.40540960809788773, -0.14918299680867322], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 3, 'dual_embedding_m': 3, 'embedding_index': 3, 'embedding_m': 3, 'embedding_root_imag': 0.0, 'embedding_root_real': -1.2173423495716509, 'hecke_orbit': 19, 'hecke_orbit_code': 81064793359778317, 'label': '525.4.a.s.1.3', 'level': 525, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [6, 8, 7, 7, 5, 9, 9, 5], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [3, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [25, 20, 20, 21, 21, 20, 21, 24], 'Nk2': 8400, 'analytic_conductor': 30.976002753013823, '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': [525, 1, [176, 127, 451], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 228, 'dim': 56, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11], 'hecke_orbit_code': 67109389, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5], 'label': '525.4.a', 'level': 525, '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': [3, 5, 7], 'level_radical': 105, 'mf_dim': 252, 'mf_new_dim': 56, 'num_forms': 24, 'plus_dim': 31, 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mf_twists_cc • Show schema
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id: 48217946
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793359778317, 'source_is_minimal': True, 'source_label': '525.4.a.s.1.3', 'source_level': 525, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 81064793359778317, 'target_is_minimal': True, 'target_label': '525.4.a.s.1.3', 'target_level': 525, 'twist_class_label': '525.4.a.s.1.3', 'twist_class_level': 525, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 48217947
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793359778317, 'source_is_minimal': True, 'source_label': '525.4.a.s.1.3', 'source_level': 525, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 171136785907189287, 'target_is_minimal': False, 'target_label': '1575.4.a.bm.1.2', 'target_level': 1575, 'twist_class_label': '525.4.a.s.1.3', 'twist_class_level': 525, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48217948
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793359778317, 'source_is_minimal': True, 'source_label': '525.4.a.s.1.3', 'source_level': 525, 'target_conrey_index': 274, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 63050601008726541, 'target_is_minimal': False, 'target_label': '525.4.d.o.274.5', 'target_level': 525, 'twist_class_label': '525.4.a.s.1.3', 'twist_class_level': 525, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48217949
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793359778317, 'source_is_minimal': True, 'source_label': '525.4.a.s.1.3', 'source_level': 525, 'target_conrey_index': 274, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 63050601008726541, 'target_is_minimal': False, 'target_label': '525.4.d.o.274.4', 'target_level': 525, 'twist_class_label': '525.4.a.s.1.3', 'twist_class_level': 525, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48217950
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793359778317, 'source_is_minimal': True, 'source_label': '525.4.a.s.1.3', 'source_level': 525, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94575592241889805, 'target_is_minimal': True, 'target_label': '525.4.a.v.1.2', 'target_level': 525, 'twist_class_label': '525.4.a.s.1.3', 'twist_class_level': 525, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 48217951
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793359778317, 'source_is_minimal': True, 'source_label': '525.4.a.s.1.3', 'source_level': 525, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 139611588515595815, 'target_is_minimal': False, 'target_label': '1575.4.a.bf.1.3', 'target_level': 1575, 'twist_class_label': '525.4.a.s.1.3', 'twist_class_level': 525, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 1005075
{'charpoly_factorization': [[[10, -45, -6, 6, 1], 1]], 'hecke_orbit_code': 81064793359778317, 'p': 2}
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id: 1005076
{'charpoly_factorization': [[[3, 1], 4]], 'hecke_orbit_code': 81064793359778317, 'p': 3}
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id: 1005077
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 81064793359778317, 'p': 5}
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id: 1005078
{'charpoly_factorization': [[[-7, 1], 4]], 'hecke_orbit_code': 81064793359778317, 'p': 7}
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id: 1005079
{'charpoly_factorization': [[[99334, 44829, -1323, -57, 1], 1]], 'hecke_orbit_code': 81064793359778317, 'p': 11}
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id: 1005080
{'charpoly_factorization': [[[3240760, -62320, -4324, 43, 1], 1]], 'hecke_orbit_code': 81064793359778317, 'p': 13}
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id: 1005081
{'charpoly_factorization': [[[3462544, -532932, -5862, 99, 1], 1]], 'hecke_orbit_code': 81064793359778317, 'p': 17}
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id: 1005082
{'charpoly_factorization': [[[329386624, -92904, -37648, 12, 1], 1]], 'hecke_orbit_code': 81064793359778317, 'p': 19}
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id: 1005083
{'charpoly_factorization': [[[92278225, -2080260, -20586, 156, 1], 1]], 'hecke_orbit_code': 81064793359778317, 'p': 23}
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id: 1005084
{'charpoly_factorization': [[[29419291, -2072862, 46204, -378, 1], 1]], 'hecke_orbit_code': 81064793359778317, 'p': 29}
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id: 1005085
{'charpoly_factorization': [[[1187132760, -9248580, -102834, 93, 1], 1]], 'hecke_orbit_code': 81064793359778317, 'p': 31}
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id: 1005086
{'charpoly_factorization': [[[210866814, -11838933, -95427, 81, 1], 1]], 'hecke_orbit_code': 81064793359778317, 'p': 37}
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id: 1005087
{'charpoly_factorization': [[[-7122182144, -95578560, -169968, 465, 1], 1]], 'hecke_orbit_code': 81064793359778317, 'p': 41}
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id: 1005088
{'charpoly_factorization': [[[7838190085, 17757520, -253366, -64, 1], 1]], 'hecke_orbit_code': 81064793359778317, 'p': 43}
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id: 1005089
{'charpoly_factorization': [[[425590240, 15362040, 172984, 744, 1], 1]], 'hecke_orbit_code': 81064793359778317, 'p': 47}
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id: 1005090
{'charpoly_factorization': [[[8629646344, -188537652, -262062, 729, 1], 1]], 'hecke_orbit_code': 81064793359778317, 'p': 53}
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id: 1005091
{'charpoly_factorization': [[[323902840, -6484800, -120236, -231, 1], 1]], 'hecke_orbit_code': 81064793359778317, 'p': 59}
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id: 1005092
{'charpoly_factorization': [[[-9759896064, 10562832, 466884, 1353, 1], 1]], 'hecke_orbit_code': 81064793359778317, 'p': 61}
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id: 1005093
{'charpoly_factorization': [[[-109414277684, -261491627, 400319, 1487, 1], 1]], 'hecke_orbit_code': 81064793359778317, 'p': 67}
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id: 1005094
{'charpoly_factorization': [[[-423829861100, -1145376825, 3175, 1725, 1], 1]], 'hecke_orbit_code': 81064793359778317, 'p': 71}
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id: 1005095
{'charpoly_factorization': [[[67091874784, -113437544, -525088, 512, 1], 1]], 'hecke_orbit_code': 81064793359778317, 'p': 73}
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id: 1005096
{'charpoly_factorization': [[[28849899226, 571712121, 17681, -1629, 1], 1]], 'hecke_orbit_code': 81064793359778317, 'p': 79}
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id: 1005097
{'charpoly_factorization': [[[-22647834344, -406498164, -1625714, 321, 1], 1]], 'hecke_orbit_code': 81064793359778317, 'p': 83}
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id: 1005098
{'charpoly_factorization': [[[-108748692656, -2227479096, -2293648, 978, 1], 1]], 'hecke_orbit_code': 81064793359778317, 'p': 89}
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id: 1005099
{'charpoly_factorization': [[[-5353888496, -217116768, 1532408, 2616, 1], 1]], 'hecke_orbit_code': 81064793359778317, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '525.4.a.s', 'level': 525, 'portrait': 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'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 63407089
{'hecke_orbit_code': 81064793359778317, 'n': 1, 'trace_an': 4}
-
id: 63407090
{'hecke_orbit_code': 81064793359778317, 'n': 2, 'trace_an': -6}
-
id: 63407091
{'hecke_orbit_code': 81064793359778317, 'n': 3, 'trace_an': -12}
-
id: 63407092
{'hecke_orbit_code': 81064793359778317, 'n': 4, 'trace_an': 16}
-
id: 63407093
{'hecke_orbit_code': 81064793359778317, 'n': 5, 'trace_an': 0}
-
id: 63407094
{'hecke_orbit_code': 81064793359778317, 'n': 6, 'trace_an': 18}
-
id: 63407095
{'hecke_orbit_code': 81064793359778317, 'n': 7, 'trace_an': 28}
-
id: 63407096
{'hecke_orbit_code': 81064793359778317, 'n': 8, 'trace_an': -93}
-
id: 63407097
{'hecke_orbit_code': 81064793359778317, 'n': 9, 'trace_an': 36}
-
id: 63407098
{'hecke_orbit_code': 81064793359778317, 'n': 10, 'trace_an': 0}
-
id: 63407099
{'hecke_orbit_code': 81064793359778317, 'n': 11, 'trace_an': 57}
-
id: 63407100
{'hecke_orbit_code': 81064793359778317, 'n': 12, 'trace_an': -48}
-
id: 63407101
{'hecke_orbit_code': 81064793359778317, 'n': 13, 'trace_an': -43}
-
id: 63407102
{'hecke_orbit_code': 81064793359778317, 'n': 14, 'trace_an': -42}
-
id: 63407103
{'hecke_orbit_code': 81064793359778317, 'n': 15, 'trace_an': 0}
-
id: 63407104
{'hecke_orbit_code': 81064793359778317, 'n': 16, 'trace_an': 216}
-
id: 63407105
{'hecke_orbit_code': 81064793359778317, 'n': 17, 'trace_an': -99}
-
id: 63407106
{'hecke_orbit_code': 81064793359778317, 'n': 18, 'trace_an': -54}
-
id: 63407107
{'hecke_orbit_code': 81064793359778317, 'n': 19, 'trace_an': -12}
-
id: 63407108
{'hecke_orbit_code': 81064793359778317, 'n': 20, 'trace_an': 0}
-
id: 63407109
{'hecke_orbit_code': 81064793359778317, 'n': 21, 'trace_an': -84}
-
id: 63407110
{'hecke_orbit_code': 81064793359778317, 'n': 22, 'trace_an': 41}
-
id: 63407111
{'hecke_orbit_code': 81064793359778317, 'n': 23, 'trace_an': -156}
-
id: 63407112
{'hecke_orbit_code': 81064793359778317, 'n': 24, 'trace_an': 279}
-
id: 63407113
{'hecke_orbit_code': 81064793359778317, 'n': 25, 'trace_an': 0}
-
id: 63407114
{'hecke_orbit_code': 81064793359778317, 'n': 26, 'trace_an': -81}
-
id: 63407115
{'hecke_orbit_code': 81064793359778317, 'n': 27, 'trace_an': -108}
-
id: 63407116
{'hecke_orbit_code': 81064793359778317, 'n': 28, 'trace_an': 112}
-
id: 63407117
{'hecke_orbit_code': 81064793359778317, 'n': 29, 'trace_an': 378}
-
id: 63407118
{'hecke_orbit_code': 81064793359778317, 'n': 30, 'trace_an': 0}
-
id: 63407119
{'hecke_orbit_code': 81064793359778317, 'n': 31, 'trace_an': -93}
-
id: 63407120
{'hecke_orbit_code': 81064793359778317, 'n': 32, 'trace_an': -690}
-
id: 63407121
{'hecke_orbit_code': 81064793359778317, 'n': 33, 'trace_an': -171}
-
id: 63407122
{'hecke_orbit_code': 81064793359778317, 'n': 34, 'trace_an': 783}
-
id: 63407123
{'hecke_orbit_code': 81064793359778317, 'n': 35, 'trace_an': 0}
-
id: 63407124
{'hecke_orbit_code': 81064793359778317, 'n': 36, 'trace_an': 144}
-
id: 63407125
{'hecke_orbit_code': 81064793359778317, 'n': 37, 'trace_an': -81}
-
id: 63407126
{'hecke_orbit_code': 81064793359778317, 'n': 38, 'trace_an': -216}
-
id: 63407127
{'hecke_orbit_code': 81064793359778317, 'n': 39, 'trace_an': 129}
-
id: 63407128
{'hecke_orbit_code': 81064793359778317, 'n': 40, 'trace_an': 0}
-
id: 63407129
{'hecke_orbit_code': 81064793359778317, 'n': 41, 'trace_an': -465}
-
id: 63407130
{'hecke_orbit_code': 81064793359778317, 'n': 42, 'trace_an': 126}
-
id: 63407131
{'hecke_orbit_code': 81064793359778317, 'n': 43, 'trace_an': 64}
-
id: 63407132
{'hecke_orbit_code': 81064793359778317, 'n': 44, 'trace_an': 681}
-
id: 63407133
{'hecke_orbit_code': 81064793359778317, 'n': 45, 'trace_an': 0}
-
id: 63407134
{'hecke_orbit_code': 81064793359778317, 'n': 46, 'trace_an': 310}
-
id: 63407135
{'hecke_orbit_code': 81064793359778317, 'n': 47, 'trace_an': -744}
-
id: 63407136
{'hecke_orbit_code': 81064793359778317, 'n': 48, 'trace_an': -648}
-
id: 63407137
{'hecke_orbit_code': 81064793359778317, 'n': 49, 'trace_an': 196}
-
id: 63407138
{'hecke_orbit_code': 81064793359778317, 'n': 50, 'trace_an': 0}
-
id: 63407139
{'hecke_orbit_code': 81064793359778317, 'n': 51, 'trace_an': 297}
-
id: 63407140
{'hecke_orbit_code': 81064793359778317, 'n': 52, 'trace_an': 727}
-
id: 63407141
{'hecke_orbit_code': 81064793359778317, 'n': 53, 'trace_an': -729}
-
id: 63407142
{'hecke_orbit_code': 81064793359778317, 'n': 54, 'trace_an': 162}
-
id: 63407143
{'hecke_orbit_code': 81064793359778317, 'n': 55, 'trace_an': 0}
-
id: 63407144
{'hecke_orbit_code': 81064793359778317, 'n': 56, 'trace_an': -651}
-
id: 63407145
{'hecke_orbit_code': 81064793359778317, 'n': 57, 'trace_an': 36}
-
id: 63407146
{'hecke_orbit_code': 81064793359778317, 'n': 58, 'trace_an': -1172}
-
id: 63407147
{'hecke_orbit_code': 81064793359778317, 'n': 59, 'trace_an': 231}
-
id: 63407148
{'hecke_orbit_code': 81064793359778317, 'n': 60, 'trace_an': 0}
-
id: 63407149
{'hecke_orbit_code': 81064793359778317, 'n': 61, 'trace_an': -1353}
-
id: 63407150
{'hecke_orbit_code': 81064793359778317, 'n': 62, 'trace_an': 165}
-
id: 63407151
{'hecke_orbit_code': 81064793359778317, 'n': 63, 'trace_an': 252}
-
id: 63407152
{'hecke_orbit_code': 81064793359778317, 'n': 64, 'trace_an': 3107}
-
id: 63407153
{'hecke_orbit_code': 81064793359778317, 'n': 65, 'trace_an': 0}
-
id: 63407154
{'hecke_orbit_code': 81064793359778317, 'n': 66, 'trace_an': -123}
-
id: 63407155
{'hecke_orbit_code': 81064793359778317, 'n': 67, 'trace_an': -1487}
-
id: 63407156
{'hecke_orbit_code': 81064793359778317, 'n': 68, 'trace_an': -2577}
-
id: 63407157
{'hecke_orbit_code': 81064793359778317, 'n': 69, 'trace_an': 468}
-
id: 63407158
{'hecke_orbit_code': 81064793359778317, 'n': 70, 'trace_an': 0}
-
id: 63407159
{'hecke_orbit_code': 81064793359778317, 'n': 71, 'trace_an': -1725}
-
id: 63407160
{'hecke_orbit_code': 81064793359778317, 'n': 72, 'trace_an': -837}
-
id: 63407161
{'hecke_orbit_code': 81064793359778317, 'n': 73, 'trace_an': -512}
-
id: 63407162
{'hecke_orbit_code': 81064793359778317, 'n': 74, 'trace_an': -1953}
-
id: 63407163
{'hecke_orbit_code': 81064793359778317, 'n': 75, 'trace_an': 0}
-
id: 63407164
{'hecke_orbit_code': 81064793359778317, 'n': 76, 'trace_an': -3046}
-
id: 63407165
{'hecke_orbit_code': 81064793359778317, 'n': 77, 'trace_an': 399}
-
id: 63407166
{'hecke_orbit_code': 81064793359778317, 'n': 78, 'trace_an': 243}
-
id: 63407167
{'hecke_orbit_code': 81064793359778317, 'n': 79, 'trace_an': 1629}
-
id: 63407168
{'hecke_orbit_code': 81064793359778317, 'n': 80, 'trace_an': 0}
-
id: 63407169
{'hecke_orbit_code': 81064793359778317, 'n': 81, 'trace_an': 324}
-
id: 63407170
{'hecke_orbit_code': 81064793359778317, 'n': 82, 'trace_an': 693}
-
id: 63407171
{'hecke_orbit_code': 81064793359778317, 'n': 83, 'trace_an': -321}
-
id: 63407172
{'hecke_orbit_code': 81064793359778317, 'n': 84, 'trace_an': -336}
-
id: 63407173
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