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{'Nk2': 35008, 'analytic_conductor': 69.8850718490246, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [547, -1]], 'atkin_lehner_string': '--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8752, 1, [5471, 6565, 2737], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 18, 'field_disc': 4823953520258511866105904755849, 'field_disc_factorization': [[7, 1], [73, 1], [16097, 1], [43781, 1], [146768003, 1], [91268351929, 1]], 'field_poly': [328, -654, -1851, 3834, 4048, -9021, -4274, 11068, 2068, -7703, -137, 3104, -282, -708, 116, 84, -18, -4, 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': [[3, [-32, 266, 221, -4092, -529, 17035, -4923, -27279, 17477, 13361, -12985, -1561, 3908, -485, -499, 141, 16, -10, 1]], [5, [-15872, -42046, 88161, 316340, 22692, -657632, -551465, 308466, 649756, 238435, -138777, -157710, -53562, -1378, 4872, 1771, 304, 27, 1]], [7, [-58576, -62202, 1038609, -1335870, -1344002, 3024596, -191995, -2110064, 916701, 455177, -382155, 23119, 41987, -9436, -1324, 591, -17, -11, 1]], [11, [-82432, -843423, 3523832, 5528150, -23371203, 7534045, 18625653, -6865320, -6381183, 1787123, 1134032, -191844, -104309, 9574, 4921, -224, -113, 2, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326232112, 'hecke_ring_generator_nbound': 11, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8752.2.a.s', 'level': 8752, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 547], 'level_radical': 1094, 'minimal_twist': '547.2.a.b', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{9})q^{3}+(-2-\\beta _{3})q^{5}+(-\\beta _{1}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 18, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8752.2.a', 'trace_display': [0, 10, -27, 11], 'trace_hash': 623084283526896073, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.206', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '739.729', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '64818.889', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, 'traces': [18, 0, 10, 0, -27, 0, 11, 0, 14, 0, -2, 0, -25, 0, -9, 0, -30, 0, -4, 0, -16, 0, 26, 0, 31, 0, 37, 0, 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{'AL_dims': [[[[2, -1], [547, -1]], 68, 7], [[[2, 1], [547, -1]], 73, 6], [[[2, 1], [547, 1]], 64, 5], [[[2, -1], [547, 1]], 68, 8]], 'ALdims': [64, 73, 68, 68], 'Nk2': 35008, 'analytic_conductor': 69.8850718490246, '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': [8752, 1, [5471, 6565, 2737], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1091, 'dim': 273, 'eis_dim': 11, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7, 11], 'hecke_orbit_code': 33563184, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 7, 7, 13, 15, 18, 19, 23, 25, 27, 31, 34, 37], 'label': '8752.2.a', 'level': 8752, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 547], 'level_radical': 1094, 'mf_dim': 1102, 'mf_new_dim': 273, 'num_forms': 26, 'plus_dim': 132, 'prim_orbit_index': 1, 'relative_dim': 273, 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'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48209490
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 18, 'source_embedding_index': 16, 'source_hecke_orbit_code': 81064793326232112, 'source_is_minimal': False, 'source_label': '8752.2.a.s.1.16', 'source_level': 8752, 'target_conrey_index': 1, 'target_dim': 18, 'target_embedding_index': 16, 'target_hecke_orbit_code': 81064793326232112, 'target_is_minimal': False, 'target_label': '8752.2.a.s.1.16', 'target_level': 8752, 'twist_class_label': '547.2.a.b.1.18', 'twist_class_level': 547, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48209491
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 18, 'source_embedding_index': 16, 'source_hecke_orbit_code': 81064793326232112, 'source_is_minimal': False, 'source_label': '8752.2.a.s.1.16', 'source_level': 8752, 'target_conrey_index': 1, 'target_dim': 18, 'target_embedding_index': 18, 'target_hecke_orbit_code': 4503599660925475, 'target_is_minimal': True, 'target_label': '547.2.a.b.1.18', 'target_level': 547, 'twist_class_label': '547.2.a.b.1.18', 'twist_class_level': 547, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48209492
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 18, 'source_embedding_index': 16, 'source_hecke_orbit_code': 81064793326232112, 'source_is_minimal': False, 'source_label': '8752.2.a.s.1.16', 'source_level': 8752, 'target_conrey_index': 1, 'target_dim': 18, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934634811, 'target_is_minimal': False, 'target_label': '4923.2.a.l.1.1', 'target_level': 4923, 'twist_class_label': '547.2.a.b.1.18', 'twist_class_level': 547, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4838625
{'charpoly_factorization': [[[0, 1], 18]], 'hecke_orbit_code': 81064793326232112, 'p': 2}
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id: 4838626
{'charpoly_factorization': [[[-32, 266, 221, -4092, -529, 17035, -4923, -27279, 17477, 13361, -12985, -1561, 3908, -485, -499, 141, 16, -10, 1], 1]], 'hecke_orbit_code': 81064793326232112, 'p': 3}
-
id: 4838627
{'charpoly_factorization': [[[-15872, -42046, 88161, 316340, 22692, -657632, -551465, 308466, 649756, 238435, -138777, -157710, -53562, -1378, 4872, 1771, 304, 27, 1], 1]], 'hecke_orbit_code': 81064793326232112, 'p': 5}
-
id: 4838628
{'charpoly_factorization': [[[-58576, -62202, 1038609, -1335870, -1344002, 3024596, -191995, -2110064, 916701, 455177, -382155, 23119, 41987, -9436, -1324, 591, -17, -11, 1], 1]], 'hecke_orbit_code': 81064793326232112, 'p': 7}
-
id: 4838629
{'charpoly_factorization': [[[-82432, -843423, 3523832, 5528150, -23371203, 7534045, 18625653, -6865320, -6381183, 1787123, 1134032, -191844, -104309, 9574, 4921, -224, -113, 2, 1], 1]], 'hecke_orbit_code': 81064793326232112, 'p': 11}
-
id: 4838630
{'charpoly_factorization': [[[-160401143, -716121924, -1130971990, -562304121, 388950788, 573367312, 173378296, -74607411, -62952777, -10003709, 3932642, 1756201, 128151, -57203, -13499, -448, 185, 25, 1], 1]], 'hecke_orbit_code': 81064793326232112, 'p': 13}
-
id: 4838631
{'charpoly_factorization': [[[-5744344, -30477290, 193747359, -128505126, -279803718, 179071311, 194107410, -53321401, -73592800, -6627939, 9847884, 3360174, 139191, -115663, -21399, -305, 278, 30, 1], 1]], 'hecke_orbit_code': 81064793326232112, 'p': 17}
-
id: 4838632
{'charpoly_factorization': [[[-584801324, -4391900837, -11741556921, -12236751524, -1196500514, 5068621318, 1464193777, -769654807, -252885706, 59212114, 19601316, -2539162, -805997, 61277, 18173, -776, -212, 4, 1], 1]], 'hecke_orbit_code': 81064793326232112, 'p': 19}
-
id: 4838633
{'charpoly_factorization': [[[8189636608, -32904394096, 37582713301, -3929698948, -16318945268, 7333449013, 1613511232, -1575467485, 101296458, 128997659, -25403830, -3639422, 1426469, -36967, -27545, 2771, 102, -26, 1], 1]], 'hecke_orbit_code': 81064793326232112, 'p': 23}
-
id: 4838634
{'charpoly_factorization': [[[-13479926, 109387105, 618584667, 176086623, -670102869, -424276063, 146574270, 185530432, 27474465, -19241787, -6810406, 243686, 409420, 39671, -8420, -1632, 9, 18, 1], 1]], 'hecke_orbit_code': 81064793326232112, 'p': 29}
-
id: 4838635
{'charpoly_factorization': [[[1756132711264, 366933273196, -2728120590879, 1165250632558, 308538266475, -237330301946, -1890640427, 19464635152, -1396401842, -841283326, 93373377, 20516546, -2783271, -277982, 43105, 1899, -332, -5, 1], 1]], 'hecke_orbit_code': 81064793326232112, 'p': 31}
-
id: 4838636
{'charpoly_factorization': [[[5114786922536, -455456703058, -2737438165633, 55154360629, 595849129391, 24483721600, -66965440769, -6278728871, 4067710024, 573489202, -127218077, -24761668, 1684972, 526836, 973, -5140, -189, 18, 1], 1]], 'hecke_orbit_code': 81064793326232112, 'p': 37}
-
id: 4838637
{'charpoly_factorization': [[[341990380184, 92284754498, -427704025717, -124097069518, 173907422359, 57712706318, -27026543558, -10151221307, 1726423640, 789038062, -39316392, -29378317, -133995, 546687, 17681, -4914, -238, 17, 1], 1]], 'hecke_orbit_code': 81064793326232112, 'p': 41}
-
id: 4838638
{'charpoly_factorization': [[[23810212304, 49603186432, -41323676429, -74785110468, 22721869031, 31736926573, -3154091139, -5365030960, -30236867, 404893097, 23367713, -14967042, -1289375, 278008, 28787, -2441, -282, 8, 1], 1]], 'hecke_orbit_code': 81064793326232112, 'p': 43}
-
id: 4838639
{'charpoly_factorization': [[[35899903339, -24034327310, -166313229704, 18328426124, 124929207700, -50590096594, -15693765738, 13394445172, -1940115880, -543214659, 205002288, -12206502, -4335084, 843040, -27089, -7583, 1019, -52, 1], 1]], 'hecke_orbit_code': 81064793326232112, 'p': 47}
-
id: 4838640
{'charpoly_factorization': [[[-971885299094, -1280368606051, 2390411090391, 5288177635231, 3227875277898, 493263089277, -265380810794, -127606981219, -14335039384, 2943105676, 963897317, 60304506, -11338539, -2127692, -81599, 10379, 1338, 60, 1], 1]], 'hecke_orbit_code': 81064793326232112, 'p': 53}
-
id: 4838641
{'charpoly_factorization': [[[-1458822574688, -5717900487906, -8297207394515, -5104458188320, -648117120970, 660722138092, 231284152278, -22999454856, -17314025877, -90783081, 599525195, 20482243, -10892710, -416090, 105276, 3138, -515, -8, 1], 1]], 'hecke_orbit_code': 81064793326232112, 'p': 59}
-
id: 4838642
{'charpoly_factorization': [[[75258329816, 281858001826, 269925312611, -38807969201, -153595670122, -49301801259, 15114796219, 10620827778, 793222198, -594434965, -126295525, 6913968, 4262797, 241215, -45864, -5764, -6, 26, 1], 1]], 'hecke_orbit_code': 81064793326232112, 'p': 61}
-
id: 4838643
{'charpoly_factorization': [[[12533716163723, 14431111191034, -9318497293407, -9749535898280, 1272280528919, 1718110903103, -25719297133, -131330476496, -4638908644, 4987792891, 303898710, -98820102, -7275653, 1045245, 83443, -5607, -463, 12, 1], 1]], 'hecke_orbit_code': 81064793326232112, 'p': 67}
-
id: 4838644
{'charpoly_factorization': [[[-368406703332424, -156690000587118, 211294898324459, 63506732161513, -33579433293968, -7140387725193, 2519182180273, 342160091437, -100122645002, -8177026461, 2232393157, 101164099, -28304524, -618073, 198382, 1602, -708, -1, 1], 1]], 'hecke_orbit_code': 81064793326232112, 'p': 71}
-
id: 4838645
{'charpoly_factorization': [[[-12033371727622, -36966736505111, 27105461881102, 121366754010293, 2129385464148, -47288837100025, 8190194764517, 1787248400693, -384213375818, -25546541299, 7068720865, 161544777, -66473349, -367055, 340933, -382, -912, 2, 1], 1]], 'hecke_orbit_code': 81064793326232112, 'p': 73}
-
id: 4838646
{'charpoly_factorization': [[[1079280536, -2749561990, -5260348191, 10613015973, 10243739505, -6386882967, -3995664349, 1014709223, 696240286, -27805678, -54911670, -4514751, 1618972, 263104, -10685, -4143, -125, 18, 1], 1]], 'hecke_orbit_code': 81064793326232112, 'p': 79}
-
id: 4838647
{'charpoly_factorization': [[[-9449540631685696, -30822730864822638, -6546521246342669, 6529081504638620, 1602133493155000, -321885749817895, -76304378958373, 8608792325276, 1603134598828, -148961922628, -17190215020, 1629675008, 90714928, -10334760, -164944, 33644, -280, -43, 1], 1]], 'hecke_orbit_code': 81064793326232112, 'p': 83}
-
id: 4838648
{'charpoly_factorization': [[[4077961316512, 14489608109692, -25909164912691, -6260273048148, 11644283742360, 1193278506673, -1558859890110, -184125435854, 75916067923, 10762745704, -1455812537, -254644271, 10610534, 2807773, 346, -14454, -324, 28, 1], 1]], 'hecke_orbit_code': 81064793326232112, 'p': 89}
-
id: 4838649
{'charpoly_factorization': [[[-28869767458, 207551430163, -167416988194, -1379735464006, 2279610403633, 189244158630, -406795225150, -23312453243, 26575647500, 1830684429, -814993448, -70527376, 11967706, 1307004, -70215, -11084, -12, 34, 1], 1]], 'hecke_orbit_code': 81064793326232112, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '8752.2.a.s', 'level': 8752, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 245445000
{'hecke_orbit_code': 81064793326232112, 'n': 1, 'trace_an': 18}
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id: 245445001
{'hecke_orbit_code': 81064793326232112, 'n': 2, 'trace_an': 0}
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id: 245445002
{'hecke_orbit_code': 81064793326232112, 'n': 3, 'trace_an': 10}
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id: 245445003
{'hecke_orbit_code': 81064793326232112, 'n': 4, 'trace_an': 0}
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id: 245445004
{'hecke_orbit_code': 81064793326232112, 'n': 5, 'trace_an': -27}
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id: 245445005
{'hecke_orbit_code': 81064793326232112, 'n': 6, 'trace_an': 0}
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id: 245445006
{'hecke_orbit_code': 81064793326232112, 'n': 7, 'trace_an': 11}
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id: 245445007
{'hecke_orbit_code': 81064793326232112, 'n': 8, 'trace_an': 0}
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id: 245445008
{'hecke_orbit_code': 81064793326232112, 'n': 9, 'trace_an': 14}
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id: 245445009
{'hecke_orbit_code': 81064793326232112, 'n': 10, 'trace_an': 0}
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id: 245445010
{'hecke_orbit_code': 81064793326232112, 'n': 11, 'trace_an': -2}
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id: 245445011
{'hecke_orbit_code': 81064793326232112, 'n': 12, 'trace_an': 0}
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id: 245445012
{'hecke_orbit_code': 81064793326232112, 'n': 13, 'trace_an': -25}
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id: 245445013
{'hecke_orbit_code': 81064793326232112, 'n': 14, 'trace_an': 0}
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id: 245445014
{'hecke_orbit_code': 81064793326232112, 'n': 15, 'trace_an': -9}
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id: 245445015
{'hecke_orbit_code': 81064793326232112, 'n': 16, 'trace_an': 0}
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id: 245445016
{'hecke_orbit_code': 81064793326232112, 'n': 17, 'trace_an': -30}
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id: 245445017
{'hecke_orbit_code': 81064793326232112, 'n': 18, 'trace_an': 0}
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id: 245445018
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