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{'Nk2': 20900, 'analytic_conductor': 41.721835056119, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, -1], [11, -1], [19, 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': [5225, 1, [2927, 2851, 4676], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 15, 'field_disc': 76229776143961079798701280233, 'field_disc_factorization': [[971, 1], [78506463588013470441504923, 1]], 'field_poly': [-13, 103, 17, -1295, 927, 2316, -2033, -1451, 1556, 327, -537, 6, 85, -11, -5, 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, [13, 103, -17, -1295, -927, 2316, 2033, -1451, -1556, 327, 537, 6, -85, -11, 5, 1]], [7, [1813, 779, -63105, 15831, 179731, 51628, -113783, -52692, 23706, 16032, -576, -1775, -241, 52, 15, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326228585, 'hecke_ring_generator_nbound': 3, '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': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '5225.2.a.s', 'level': 5225, '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': [5, 11, 19], 'level_radical': 1045, 'minimal_twist': '5225.2.a.s', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+\\beta _{6}q^{3}+(1+\\beta _{2})q^{4}+(-1+\\cdots)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 15, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'ALdims': [32, 37, 35, 30, 41, 31, 35, 45], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [32, 47, 43, 39, 36, 39, 37, 30], 'Nk2': 20900, 'analytic_conductor': 41.721835056119, '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': [5225, 1, [2927, 2851, 4676], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 589, 'dim': 286, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33559657, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 2, 2, 5, 5, 5, 6, 6, 7, 7, 8, 9, 9, 15, 15, 15, 15, 15, 15, 15, 15, 16, 20, 22, 30], 'label': '5225.2.a', 'level': 5225, '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': [5, 11, 19], 'level_radical': 1045, 'mf_dim': 612, 'mf_new_dim': 286, 'num_forms': 29, 'plus_dim': 128, 'prim_orbit_index': 1, 'relative_dim': 286, 'sturm_bound': 1200, 'trace_bound': 7, 'trace_display': [2, 2, 0, 0], 'traces': [286, 2, 2, 288, 0, -4, 0, -6, 300, 0, 4, -24, 16, -4, 0, 300, 16, -22, 0, 0, 32, 0, -10, -20, 0, -20, 14, 32, 8, 0, 14, 10, 2, 20, 0, 360, 38, -6, -36, 0, -4, 64, -20, 18, 0, 48, -32, 28, 322, 0, -32, 84, 36, 16, 0, 44, 0, 4, -2, 0, 28, 28, -24, 268, 0, 8, -14, 56, 42, 0, -2, -30, 48, -44, 0, 0, -12, 84, 16, 0, 334, 36, -48, 168, 0, 24, -28, 0, 30, 0, 24, -28, -14, -72, 0, -4, 50, 42, -18, 0, -104, 16, 20, -44, 0, -20, 28, 48, -88, 0, -38, 40, 74, 8, 0, -28, 4, -100, 72, 0, 286, -52, -8, 68, 0, -92, 76, 50, -12, 0, 28, 8, -4, -20, 0, -76, -26, 16, 40, 0, -176, -92, 0, 368, 0, -236, 62, 12, -84, 0, 44, -30, 56, 40, 0, -256, 38, 112, -76, 0, -48, -190, 72, -252, 0, -56, -100, 144, 318, 0, -8, -96, -68, -340, 0, 38, -74, -84, -6, 0, 22, -80, 52, 104, 0, -120, 4, 8, -104, 0, 26, 44, 28, -44, 0, 364, -16, 44, 96, 0, 30, -100, 44, -32, 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222, -176, -8, 0, 132, 232, -140, 48, 0, -560, 116, -128, 396, 0, 142, -190, 56, 328, 0, 232, 12, -304, 544, 0, -68, 200, -32, 480, 0, 260, -196, 12, -140, 0, -600, 92, 8, -564, 0, 232, -132, -104, -504, 0, 124, 68, 36, 412, 0, 40, 244, -56, 144, 0, 116, -188, -20, -76, 0, -592, 200, -60, -72, 0, 32, -416, 32, 0, 0, 144, 356, -4, -194, 0, -236, 40, 152, 236, 0, 40, -150, 0, -296, 0, -178, 32, -268, -556, 0, 360, 0, -188, 208, 0, 684, 240, -256, -132, 0, -352, 228, -6, -64, 0, 154, -328, 304, 92, 0, 480, -110, 80, 98, 0, 140, -44, -58, -388, 0, 168, 128, 88, 412, 0, 152, 164, 46, -208, 0, -424, 80, 160, -202, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48188824
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 15, 'source_embedding_index': 10, 'source_hecke_orbit_code': 81064793326228585, 'source_is_minimal': True, 'source_label': '5225.2.a.s.1.10', 'source_level': 5225, 'target_conrey_index': 1, 'target_dim': 15, 'target_embedding_index': 10, 'target_hecke_orbit_code': 81064793326228585, 'target_is_minimal': True, 'target_label': '5225.2.a.s.1.10', 'target_level': 5225, 'twist_class_label': '5225.2.a.s.1.10', 'twist_class_level': 5225, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48188825
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 15, 'source_embedding_index': 10, 'source_hecke_orbit_code': 81064793326228585, 'source_is_minimal': True, 'source_label': '5225.2.a.s.1.10', 'source_level': 5225, 'target_conrey_index': 1, 'target_dim': 15, 'target_embedding_index': 6, 'target_hecke_orbit_code': 103582791463081065, 'target_is_minimal': True, 'target_label': '5225.2.a.x.1.6', 'target_level': 5225, 'twist_class_label': '5225.2.a.s.1.10', 'twist_class_level': 5225, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3835025
{'charpoly_factorization': [[[13, 103, -17, -1295, -927, 2316, 2033, -1451, -1556, 327, 537, 6, -85, -11, 5, 1], 1]], 'hecke_orbit_code': 81064793326228585, 'p': 2}
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id: 3835026
{'charpoly_factorization': [[[101, -1134, 3517, -56, -10516, 714, 10724, 599, -4819, -687, 1038, 203, -105, -24, 4, 1], 1]], 'hecke_orbit_code': 81064793326228585, 'p': 3}
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id: 3835027
{'charpoly_factorization': [[[0, 1], 15]], 'hecke_orbit_code': 81064793326228585, 'p': 5}
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id: 3835028
{'charpoly_factorization': [[[1813, 779, -63105, 15831, 179731, 51628, -113783, -52692, 23706, 16032, -576, -1775, -241, 52, 15, 1], 1]], 'hecke_orbit_code': 81064793326228585, 'p': 7}
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id: 3835029
{'charpoly_factorization': [[[-1, 1], 15]], 'hecke_orbit_code': 81064793326228585, 'p': 11}
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id: 3835030
{'charpoly_factorization': [[[119259, 368604, -474015, -2371054, -1562786, 1092950, 914985, -240984, -174526, 23297, 15834, -742, -715, -16, 13, 1], 1]], 'hecke_orbit_code': 81064793326228585, 'p': 13}
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id: 3835031
{'charpoly_factorization': [[[-5878079, 12094986, 17050323, -20937485, -15240252, 7493067, 4447235, -876318, -562571, 32916, 34529, 595, -1006, -63, 11, 1], 1]], 'hecke_orbit_code': 81064793326228585, 'p': 17}
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id: 3835032
{'charpoly_factorization': [[[1, 1], 15]], 'hecke_orbit_code': 81064793326228585, 'p': 19}
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id: 3835033
{'charpoly_factorization': [[[8989816, 25435208, -45115182, -120180431, -24409655, 35409272, 11831950, -3119842, -1484700, 54884, 72847, 3288, -1453, -118, 10, 1], 1]], 'hecke_orbit_code': 81064793326228585, 'p': 23}
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id: 3835034
{'charpoly_factorization': [[[-564962440, -1061363384, -198620654, 515218879, 153299241, -98088361, -26846610, 9604598, 1984928, -521446, -67413, 15086, 983, -204, -5, 1], 1]], 'hecke_orbit_code': 81064793326228585, 'p': 29}
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id: 3835035
{'charpoly_factorization': [[[-15534356323, -13179284101, 5348995613, 5513966687, -272947881, -740057145, -25314858, 46891927, 2812142, -1580340, -95941, 29012, 1324, -274, -6, 1], 1]], 'hecke_orbit_code': 81064793326228585, 'p': 31}
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id: 3835036
{'charpoly_factorization': [[[-5312541061, 500945442, 4373686238, -119169179, -1205445394, -26594437, 140660327, 6351347, -7845459, -451856, 215985, 14129, -2772, -199, 13, 1], 1]], 'hecke_orbit_code': 81064793326228585, 'p': 37}
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id: 3835037
{'charpoly_factorization': [[[-1902339571, -12571215544, -16010171171, 5974884584, 4617918351, -1309803113, -367695269, 106293992, 9993180, -3414219, -110740, 51451, 432, -367, 0, 1], 1]], 'hecke_orbit_code': 81064793326228585, 'p': 41}
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id: 3835038
{'charpoly_factorization': [[[704805109, 696380757, -1133168076, -1534266298, -96171826, 718774505, 501692211, 156692979, 22718383, 25765, -503418, -68456, -1781, 374, 36, 1], 1]], 'hecke_orbit_code': 81064793326228585, 'p': 43}
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id: 3835039
{'charpoly_factorization': [[[-118914861797, -142647377755, -1401133298, 39645376085, 3596859464, -3944175053, -347955896, 186239205, 13476100, -4603944, -242351, 60706, 1984, -397, -6, 1], 1]], 'hecke_orbit_code': 81064793326228585, 'p': 47}
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id: 3835040
{'charpoly_factorization': [[[113540087551, -39481266022, -70077913744, 33502418582, 5874554030, -4541034311, 51633360, 211607559, -10942433, -4797089, 270675, 58620, -2617, -376, 9, 1], 1]], 'hecke_orbit_code': 81064793326228585, 'p': 53}
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id: 3835041
{'charpoly_factorization': [[[17679650455, 93621498809, 102073714284, 307194680, -14911376427, -1195323370, 847631812, 88882934, -24022610, -2821422, 355833, 44823, -2583, -345, 7, 1], 1]], 'hecke_orbit_code': 81064793326228585, 'p': 59}
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id: 3835042
{'charpoly_factorization': [[[16570478683, 40895772033, 25322877604, -5355924521, -7836249698, -571225427, 695978984, 98815139, -23444546, -4130228, 318645, 67990, -1518, -447, 2, 1], 1]], 'hecke_orbit_code': 81064793326228585, 'p': 61}
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id: 3835043
{'charpoly_factorization': [[[-9019249, 806772090, -8921416629, 17875509911, 4282250466, -4737284915, -1496332074, 218356266, 147831246, 21107156, 428177, -156614, -12567, 37, 35, 1], 1]], 'hecke_orbit_code': 81064793326228585, 'p': 67}
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id: 3835044
{'charpoly_factorization': [[[-1830004407127, 961763702025, 764387046195, -633625511321, 95239983530, 24990879119, -7019808522, -178578202, 162630098, -4834743, -1680108, 90077, 7819, -525, -13, 1], 1]], 'hecke_orbit_code': 81064793326228585, 'p': 71}
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id: 3835045
{'charpoly_factorization': [[[6548500921, -13028620718, -12348159214, 24509558575, 3026108784, -6183435924, -370102275, 390161569, 6485347, -9235351, -8313, 100727, -421, -515, 2, 1], 1]], 'hecke_orbit_code': 81064793326228585, 'p': 73}
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id: 3835046
{'charpoly_factorization': [[[12035730685, 65884913686, 48089659618, -113638822875, 42111305878, 1272410156, -2671311311, 190507409, 61715839, -6512995, -665117, 83835, 3325, -479, -6, 1], 1]], 'hecke_orbit_code': 81064793326228585, 'p': 79}
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id: 3835047
{'charpoly_factorization': [[[1924224829663, 1750599118687, -451083020896, -566302510842, 25477977704, 50916035601, 2124673988, -1633331989, -145301480, 18743908, 2493961, -47556, -15118, -257, 30, 1], 1]], 'hecke_orbit_code': 81064793326228585, 'p': 83}
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id: 3835048
{'charpoly_factorization': [[[1557086911875, -2052271014453, -71628077064, 443771987570, -57049068260, -27872821287, 6336375153, 378933993, -209804054, 12351160, 1736816, -235735, 3249, 890, -55, 1], 1]], 'hecke_orbit_code': 81064793326228585, 'p': 89}
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id: 3835049
{'charpoly_factorization': [[[-29591370408776, -66658243464856, -25296930821062, 765704097709, 1915492566740, 264910731749, -25515133905, -8538613424, -404034434, 56336806, 5926579, -35699, -23082, -531, 28, 1], 1]], 'hecke_orbit_code': 81064793326228585, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '5225.2.a.s', 'level': 5225, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 63091813
{'hecke_orbit_code': 81064793326228585, 'n': 1, 'trace_an': 15}
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id: 63091814
{'hecke_orbit_code': 81064793326228585, 'n': 2, 'trace_an': -5}
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id: 63091815
{'hecke_orbit_code': 81064793326228585, 'n': 3, 'trace_an': -4}
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id: 63091816
{'hecke_orbit_code': 81064793326228585, 'n': 4, 'trace_an': 17}
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id: 63091817
{'hecke_orbit_code': 81064793326228585, 'n': 5, 'trace_an': 0}
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id: 63091818
{'hecke_orbit_code': 81064793326228585, 'n': 6, 'trace_an': -1}
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id: 63091819
{'hecke_orbit_code': 81064793326228585, 'n': 7, 'trace_an': -15}
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id: 63091820
{'hecke_orbit_code': 81064793326228585, 'n': 8, 'trace_an': -15}
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id: 63091821
{'hecke_orbit_code': 81064793326228585, 'n': 9, 'trace_an': 19}
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id: 63091822
{'hecke_orbit_code': 81064793326228585, 'n': 10, 'trace_an': 0}
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id: 63091823
{'hecke_orbit_code': 81064793326228585, 'n': 11, 'trace_an': 15}
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id: 63091824
{'hecke_orbit_code': 81064793326228585, 'n': 12, 'trace_an': -9}
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id: 63091825
{'hecke_orbit_code': 81064793326228585, 'n': 13, 'trace_an': -13}
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id: 63091826
{'hecke_orbit_code': 81064793326228585, 'n': 14, 'trace_an': 9}
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id: 63091827
{'hecke_orbit_code': 81064793326228585, 'n': 15, 'trace_an': 0}
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id: 63091828
{'hecke_orbit_code': 81064793326228585, 'n': 16, 'trace_an': 21}
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id: 63091829
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