{"label":"50.4.a.c","letter":"c","dim":1,"charpoly":["-12","1"],"traces":["1","-2","8","4","0","-16","4","-8","37","0","12","32","58","-8","0","16","-66","-74","-100","0","32","-24","-132","-64","0","-116","80","16","-90","0","152","-32","96","132","0","148","34","200","464","0","-438","-64","-32","48","0","264","204","128","-327","0","-528","232","-222","-160","0","-32","-800","180","420","0","902","-304","148","64","0","-192","1024","-264","-1056","0","432","-296","-362","-68","0","-400","48","-928","-160","0","-359","876","-72","128","0","64","-720","-96","810","0","232","-528","1216","-408","0","-256","-1106","654","444","0","-258","1056","988","-464","0","444","24","320","950","0","272","64","1038","1600","0","-360","2146","-840","-264","0","-1187","-1804","-3504","608","0","-296","124","-128","-256","0","132","384","-400","-2048","0","528","1254","2112","-2860","0","1632","-864","696","592","0","724","-2616","136","750","0","-448","800","-2442","-96","0","1856","-2246","320","-1776","0","-528","718","568","-1752","0","144","1524","-256","1167","0","-3700","-128","-3702","1440","0","192","3360","-1620","3180","0","-2098","-464","7216","1056","0","-2432","-792","816","320","0","4392","512","2158","2212","0","-1308","1074","-888","2840","0","8192","516","-360","-2112","0","-1976","-4884","928","-1200","0","-2668","-888","3456","-48","0","-640","608","-1900","-2896","0","-3828","-544","-1772","-128","0","-2076","2784","-3200","350","0","384","720","-1962","-4292","0","1680","-1280","528","-4320","0","-478","2374","-5032","3608","0","7008","-5800","-1216","-576","0","2652","592","-1584","-248","0","256","2334","512","136","0","-3330","-264","3948","-768","0","800","6480","4096","1590","0","4952","-1056","1856","-2508","0","-4224","-1646","5720","5624","0","-1158","-3264","-6992","1728","0","-1392","-1752","-1184","-557","0","-8848","-1448","258","5232","0","-272","960","-1500","-7656","0","-128","896","-2064","-1600","0","4884","8944","192","7904","0","1392","-3712","5878","4492","0","-640","-10326","3552","-1080","0","192","1056","6600","-1436","0","-1136","7600","3504","816","0","-4228","-288","1258","-3048","0","512","-1106","-2334","8304","0","1824","7400","-2680","256","0","7404","-9336","-2880","-11770","0","4640","-384","-8322","-6720","0","3240","-2112","-6360","10680","0","3141","4196","-9496","928","0","-14432","5884","-2112","-16206","0","-888","4864","2098","1584","0","-1632","-5220","-640","3860","0","992","-8784","9588","-1024","0","-4316","-1184","-4424","-13410","0","8712","2616","1056","-2148","0","1776","13114","-5680","-3200","0","-5838","-16384","8816","-1032","0","720","408","4224","9530","0","10032","3952","1680","9768","0","-1856","-22880","2400","7260","0","12062","5336","7548","1776","0","-6912","3608","96","5568","0","-13608","1280","3838","-1216","0","3800","13200","5792","7400","0","-12099","7656","-8352","1088","0","3544","6000","256","10770","0","-5256","4152","-3584","-5568","0","6400","6694","-700","-5280","0","-3018","-768","-14492","-1440","0","3924","-7776","8584","4096","0","-17968","-3360","-384","2560","0","-1056","-8214","8640","-13680","0","1972","956","-4224","-4748","0","10064","-7916","-7216","4544","0","13932","-14016","5940","11600","0","2432","1728","1152","-8260","0","12192","-5304","11148","-1184","0","3168","9336","496","-9690","0","-1448","-512","-8000","-4668","0","-1024","2448","-272","-29616","0","-16038","6660","-992","528","0","-7896","-10032","1536","5257","0","15540","-1600","-25404","-12960","0","-8192","25440","-3180","-3924","0","7142","-9904","-16784","2112","0","-3712","-7616","5016","33374","0","9000","8448","-640","3292","0","-11440","10314","-11248","-1856","0","-6336","2316","7128","6528","0","13984","-1436","-3456","2010","0","-23188","2784","35136","3504","0","2368","-22466","1114","17264","0","-288","17696","-2664","2896","0","-516","-22776","-10464","-15200","0","8592","544","21198","-1920","0","3000","22720","15312","15960","0","5882","256","37888","-1792","0","4128","-8516","3200","-2880","0","11832","-9768","-8462","-17888","0","-384","11094","-15808","2180","0","-10560","-2784","3240","7424","0","-11756","-9600","-8984","-2244","0","-26848","1280","-21344","20652","0","-7104","-18966","2160","15984","0","26322","-384","10168","-2112","0","-13200","23604","2872","5040","0","4864","2272","-16422","-15200","0","-7008","-13394","-1632","-26100","0","-3058","8456","-30624","576","0","-2516","11880","6096","-14176","0","10824","-1024","-10802","2212","0","4668","10674","-16608","-4424","0","22272","-3648","28608","-14800","0","5360","2800","-512","-12876","0","-2428","-14808","1776","18672","0","5760","28908","23540","-15696","0","-6618","-9280","-3400","768","0","16644","-1032","13440","20510","0","-5920","-6480","-20064","4224","0","12720","-34560","-21360","31680","0","3952","-6282","-3824","-8392","0","18992","-13196","-1856","-30563","0","2112","28864","-8102","-11768","0","4224","12288","32412","-12580","0","-46400","1776","-29892","-9728","0","-4196","-2664","-3168","96","0","-40408","3264","21216","10440","0","1280","-32366","-7720","-12672","0","-17238","-1984","3800","17568","0","-19176","24360","2048","10850","0","18672","8632","-9102","2368","0","8848","1088","26820","43800","0","5184","-17424","-7200","-5232","0","-2112","25504","4296","31584","0","4152","-3552","52316","-26228","0","11360","-14166","6400","-13464","0","29970","11676","-4344","32768","0","-17632","12720","2064","33210","0","39212","-1440","39616","-816","0","-8448","3200","-19060","8584","0","6222","-20064","-31172","-7904","0","-3360","264","-19536","-29050","0","-13168","3712","21582","45760","0","-4800","12160","-14520","-21720","0","-16289","-24124","-9264","-10672","0","-15096","-4748","-3552","-55936","0","-4488","13824","6658","-7216","0","-192","13974","-11136","23780","0","-14016","27216","12228","-2560","0","-7676","-4456","2432","-1920","0","59392","-7600","-40922","-26400","0","-11584","-11606","-14800","2064","0","-32958","24198","-8072","-15312","0","16704","-15756","-2176","496","0","-4308","-7088","-20400","-12000","0","-512","-61248","-21540","-13680","0","14652","10512","-1024","-8304","0","7168","-18776","11136","-9546","0","-20568","-12800","-864","-13388","0","1400","528","10560","-6280","0","71552","6036","25056","1536","0","28984","36556","2880","-20430","0","32700","-7848","11136","15552","0","-17168","-8906","-8192","47024","0","-17418","35936","57816","6720","0","768","2544","-5120","-20996","0","-82608","2112","-15402","16428","0","-17280","-8640","27360","5016","0","-6687","-3944","888","-1912","0","8448","49444","9496","52800","0","-25188","-20128","-11440","15832","0","14432","-2946","-9088","9720","0","35150","-27864","-15012","28032","0","-11880","6528","-23200","4224","0","-5128","-4864","-33824","-3456","0","-2304","49714","16520","2720","0"],"space":"50.4.a","level":50,"weight":4,"T":[[3,1],[7,1]],"status":"proven","derived":{"al":[[2,1],[5,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/50.4.a.c"}