{"label":"199.4.a.b","letter":"b","dim":29,"charpoly":["-31965347185408255104","26215861224697139160","787293864860812930884","-510446992822672391656","-516434274323054048009","244556935935120404330","155014579681611110263","-47148125437660891483","-25767918988547285321","4873514246024378627","2589045565729072916","-307637218451360090","-167236022610880566","12889853272525812","7241699773476434","-384893480335733","-215580762996142","8767698254632","4457485677316","-159224442389","-63670952297","2271818024","612616475","-23676366","-3753648","162063","13025","-627","-19","1"],"traces":["29","9","10","137","39","33","21","111","397","45","172","104","105","295","84","621","432","409","134","384","376","217","415","581","1302","379","220","233","1315","288","163","1432","246","408","498","2628","-20","833","1088","612","2306","1007","961","1659","1509","971","143","1619","2604","1445","686","-3112","1055","-2239","-790","-371","-1950","-1014","1370","-8314","-559","-2733","-1551","-2249","3438","-11742","-1114","1324","1206","-11281","2416","-3845","-698","584","-1976","-6818","328","-7780","-1033","-3810","4545","-8267","50","-915","-798","-408","-2806","-5545","5895","-11796","-2578","-1916","-2324","-1812","2906","-3590","70","-3287","1670","5550","3928","-14112","-1209","-1292","1154","-8577","4238","-12441","4128","2082","268","-10355","7486","-7205","-7228","10954","-551","-3121","2428","-14477","8751","-6033","2356","-1407","2136","-1475","-1452","8812","9106","-1527","5029","-12163","-34","6127","2348","-1983","7162","3859","2779","342","1800","-8391","6026","11237","5816","2877","6864","-5030","12468","-4961","5083","2014","13438","-2477","2566","-3074","5447","6721","-2120","-355","16582","-2646","4622","14207","10462","-3614","9644","7200","11516","14747","6560","9332","13108","-4422","6623","14410","9332","-7606","18486","6098","142","-5509","10910","7195","19044","10523","7866","4564","18484","7946","13638","13010","13769","12427","13886","13504","9692","20512","-5771","24292","2820","8499","-2665","9241","1100","12335","-11419","-21834","17314","-5391","3526","5087","-23074","2830","-13363","-3713","-12934","4269","-9932","-6022","11540","71","-22088","2090","21526","10718","-4621","-54321","-11724","4475","-33640","4394","22896","-16270","-43687","14008","-10002","-12343","2805","-60749","16464","13058","-46390","-14243","1713","19381","-12194","-8450","-11234","-30082","-13917","-3839","-27972","6653","-59076","-22323","9677","-21146","-14068","30906","19355","-3608","-23950","-72351","-13078","10854","-44186","4127","8933","-18739","-46775","33876","-44582","-3752","13000","25238","-6484","-8952","-39575","-83264","45398","15054","-31982","29005","-866","12273","-16772","5844","-8103","15946","-29900","-4122","-6919","-38561","-30468","28570","-7686","-29236","-15617","-11149","-7194","539","-15250","-35196","26756","-8096","-20922","-12514","14208","18103","-1999","-36510","-3253","-7653","-109916","-6877","21914","19999","-23932","-25580","16768","46834","-9692","30414","-37707","44658","-66602","-53461","48624","-3952","-20211","33115","-48186","-2302","10832","40946","22334","19569","-50948","7177","13232","27847","-82431","33557","-4764","36330","26446","-17061","-10916","55240","30592","-22255","36732","42378","-51718","83756","17046","17519","-14051","-19263","-3827","50568","-98786","-3432","15584","6132","-4016","8563","23484","28129","39906","437","-7472","37212","-70606","29078","18804","-3495","-26923","48227","44318","21387","-28775","47037","-17092","60656","9237","43396","36620","38751","-20300","57708","-808","42631","-42595","51227","-938","-1791","-62882","61865","76844","63403","-48884","50142","68911","16041","7590","-60905","10112","14421","-32410","62980","71894","115851","-29856","27769","42330","42598","652","101417","44613","58481","-85941","-51777","53308","64653","-41006","107348","45342","-17086","30917","565","13305","65132","-18940","48615","28800","36084","-14250","130239","60972","43731","-5295","57859","-3178","98900","16370","-2734","70909","128352","-23566","45166","1772","-8797","-15979","43239","14334","-40491","-51934","-113731","27347","67743","-55875","12122","-18340","17954","-4260","-114719","-8162","-38893","-6182","54811","26264","-99728","-16378","-56594","51017","-50825","-23063","-155243","38452","29582","-79554","106218","11744","67469","-32221","-138516","27608","37066","10074","46446","-29598","139","-71028","-2270","12122","230","-47084","-119898","19192","23209","-51396","-92109","-228","-81915","26566","-79069","-43843","-131707","6810","-17350","-86700","-66324","-71170","133257","21828","-230632","-3218","38708","89503","126518","-93820","-111110","-68504","11610","-1522","-77684","-21818","-160764","68700","11672","17138","-54616","12016","29598","-5548","-74036","1670","-130358","61006","-72392","-70518","-19516","101880","-95966","53374","-216891","35059","-1762","-68514","58527","-27842","-124773","25600","121873","41794","-144312","-73514","-193502","140618","-34818","-6173","31784","-15424","-156606","-37809","-63385","120244","104872","-39852","-72132","-1050","59033","49263","-39008","-3818","-174594","-117032","-13406","66776","88496","-78922","-142871","109122","3340","31744","-7896","28364","-295388","24534","27983","-6008","-299575","-47302","100533","-1990","-83777","27030","10404","105699","54582","-41534","10270","-41739","60192","-28073","-227423","96820","97296","-51472","224123","7225","3618","35342","-8765","73797","-15665","-19906","-109414","69366","1599","-37958","6591","84911","836","22586","12265","-64030","-224456","-6322","-167555","54896","-46385","-22474","-20536","98907","-102672","115778","-23780","123886","85124","-39291","-61635","90530","78993","12349","-102792","28542","-335039","5430","191869","-54479","100095","39712","-70681","84494","-44285","-23453","-3305","52983","-164463","-84854","-82810","-11822","147199","-24482","-35435","-7108","90862","-4026","188911","73472","-123700","-68850","105232","-3897","-151630","-17566","49470","156376","117173","-17582","-163315","19578","-37192","86058","8455","99974","112246","72841","-64661","-29750","120503","-113452","22231","65410","-337073","4460","70834","165659","-79401","-56152","-113818","101064","138882","-8922","25593","36085","-246029","52805","-54660","-53304","171395","71066","88368","122662","53067","-37485","58824","104192","-36876","-57324","11779","85917","-48264","865","-311385","186145","-22372","114562","209490","32668","-127146","46422","194712","106298","-244671","50176","74208","99742","165051","20232","111325","59940","70175","19854","67677","16284","34964","80596","16319","124284","55570","-16206","446735","139933","-166072","-18692","219140","41200","239131","2944","50221","84426","39505","-8314","-9382","73257","-378553","115218","205311","-36020","134034","-4994","20985","182058","-60639","87690","370716","135272","-99724","-46288","118946","214148","208094","137168","-267222","98842","297049","120668","282607","10694","101957","174376","-27263","-4128","-34477","51848","25507","160575","131315","-71404","-116495","691","91358","52600","217875","174965","-168146","64838","-70882","9274","-126446","98140","194997","35572","-415774","-66944","77786","-20692","223604","-45710","17518","-232154","147759","151907","-334121","-62883","10588","65232","23862","12568","300781","-143814","47234","-242376","-1920","-53525","-309257","46646","-137044","-7620","219315","-75920","84628","-85697","-241876","3264","76172","75554","-121944","-77543","-303202","42054","274725","65881","26106","-50663","-424967","-370382","141815","-140002","-32920","-20022","-128827","-12268","-253333","139380","-246991","42572","84838","44548","-140055","-9651","222833","-333156","-1230","21470","176610","-36542","245085","-31012","-212715","-131708","58571","71739","-120856","77994","-34186","-138624","-35891","-49454","-37684","-200788","-41841","-158834","-28086","-8212","385339","-182992","-310677","-229548","81789","-22856","16025","170809","-166879","-299374","65590","-5225","-207102","-41124","-69403","159646","-141694","-209581","-84128","-37099","-90953","-26426","-135068","-215520","-42148","-295730","-15216","-97269","-18862","86604","140135","6600","353131","-104872","295154","31834","-136778","-169968","-442168","101034","-211934","94353","-125216","-5370","-184147","81808","27458","-52303","-67653","-207656","-254645","-135010","80352","245021","-309184","116128","219933","-468036","-297206","157886","-63223","-62398","98860","126986","70400","-96111","181029","18162","-295095","-202640","-19364","63297","-410165","-15590","-183999","-229112","-12975","8384","-9489","120340","-322513","18108","-157508","-91784","341767","-70212","169979","-185426","104656","30982","271152","114838","-152238","-50012","111941","-7761","-135568","-26007","-151191","144048","-48008"],"space":"199.4.a","level":199,"weight":4,"T":[[2,1],[3,1]],"status":"proven","derived":{"al":[[199,1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/199.4.a.b"}