{"label":"186.4.a.g","letter":"g","dim":1,"charpoly":["19","1"],"traces":["1","2","3","4","-1","6","-6","8","9","-2","39","12","89","-12","-3","16","27","18","-23","-4","-18","78","-68","24","-124","178","27","-24","64","-6","-31","32","117","54","6","36","-206","-46","267","-8","-138","-36","218","156","-9","-136","-379","48","-307","-248","81","356","630","54","-39","-48","-69","128","-366","-12","-279","-62","-54","64","-89","234","123","108","-204","12","121","72","-674","-412","-372","-92","-234","534","-965","-16","81","-276","493","-72","-27","436","192","312","570","-18","-534","-272","-93","-758","23","96","-1003","-614","351","-496","1870","162","-1378","712","18","1260","-968","108","-782","-78","-618","-96","-386","-138","68","256","801","-732","-162","-24","190","-558","-414","-124","249","-108","1996","128","654","-178","1110","468","138","246","-27","216","-1058","-408","240","24","-1137","242","3471","144","-64","-1348","-921","-824","3347","-744","-3367","-184","243","-468","31","1068","68","-1930","1890","-32","408","162","-2935","-552","-117","986","2326","-144","5724","-54","-207","872","2357","384","744","624","-1098","1140","-1663","-36","2810","-1068","-837","-544","206","-186","1053","-1516","-162","46","-1272","192","4675","-2006","-267","-1228","1806","702","1515","-992","369","3740","-384","324","138","-2756","-612","1424","-897","36","-280","2520","363","-1936","-218","216","186","-1564","-2022","-156","2403","-1236","197","-192","-1116","-772","-1254","-276","869","136","-702","512","396","1602","379","-1464","-2895","-324","-6500","-48","-1198","380","243","-1116","307","-828","-2047","-248","1479","498","-5444","-216","-2652","3992","-81","256","-2948","1308","1236","-356","576","2220","-3356","936","-630","276","1710","492","-1026","-54","955","432","-1602","-2116","-4836","-816","3505","480","-279","48","1122","-2274","-5405","484","69","6942","828","288","-4184","-128","-3009","-2696","3682","-1842","366","-1648","1053","6694","-6052","-1488","-1308","-6734","5610","-368","279","486","-56","-936","-4134","62","-2633","2136","322","136","54","-3860","-2951","3780","2496","-64","-2904","816","-621","324","-11036","-5870","-2346","-1104","2274","-234","6848","1972","-1854","4652","-123","-288","384","11448","-1158","-108","-1209","-414","3900","1744","204","4714","3483","768","11728","1488","2403","1248","8681","-2196","-121","2280","-486","-3326","5333","-72","-6330","5620","570","-2136","674","-1674","-197","-1088","-1242","412","-3780","-372","7504","2106","747","-3032","5696","-324","1079","92","5988","-2544","6642","384","234","9350","1962","-4012","926","-534","-1836","-2456","3330","3612","965","1404","-12246","3030","414","-1984","6357","738","-2759","7480","-81","-768","-8034","648","7978","276","-3174","-5512","2196","-1224","-493","2848","720","-1794","12796","72","8898","-560","-3411","5040","-3348","726","1674","-3872","10413","-436","-17168","432","-2356","372","-192","-3128","1564","-4044","12368","-312","-2763","4806","-11938","-2472","-570","394","10041","-384","-17151","-2232","-5382","-1544","-10101","-2508","534","-552","-13274","1738","729","272","198","-1404","-7097","1024","93","792","10112","3204","-738","758","204","-2928","8502","-5790","2852","-648","5670","-13000","-6145","-96","-18334","-2396","1224","760","1003","486","-14653","-2232","-8805","614","4980","-1656","1728","-4094","-351","-496","-726","2958","9312","996","6978","-10888","18501","-432","-1870","-5304","17172","7984","13760","-162","4044","512","-621","-5896","1378","2616","-14781","2472","7071","-712","-4372","1152","-4390","4440","2232","-6712","-837","1872","-7543","-1260","-3294","552","-12282","3420","968","984","-4989","-2052","-11973","-108","1388","1910","8430","864","782","-3204","-12104","-4232","-2511","-9672","-1472","-1632","5790","7010","618","960","-23560","-558","19402","96","3159","2244","6912","-4548","386","-10810","-486","968","15322","138","-15380","13884","-3816","1656","8432","576","3387","-8368","14025","-256","-2958","-6018","24570","-5392","-801","7364","-13979","-3684","713","732","5418","-3296","-7110","2106","162","13388","4545","-12104","21035","-2976","-1890","-2616","1107","-13468","-190","11220","20182","-736","-1152","558","-33731","972","16565","-112","414","-1872","8934","-8268","-248","124","-1836","-5266","-3420","4272","15251","644","-2691","272","-5562","108","20592","-7720","-840","-5902","-1996","7560","-27323","4992","1089","-128","-1181","-5808","304","1632","-654","-1242","-11086","648","-14274","-22072","558","-11740","-9201","-4692","-1110","-2208","-6066","4548","-28758","-468","18028","13696","7209","3944","-138","-3708","-4352","9304","591","-246","-10881","-576","-14808","768","-3348","22896","-6180","-2316","6018","-216","-3762","-2418","8992","-828","1058","7800","2607","3488","56070","408","-16557","9428","-2106","6966","-240","1536","-3726","23456","1188","2976","5991","4806","4738","2496","1137","17362","-11220","-4392","29555","-242","-8685","4560","2108","-972","-3471","-6652","-19500","10666","8908","-144","8268","-12660","-3594","11240","-7936","1140","9076","-4272","729","1348","5886","-3348","-14894","-394","921","-2176","4797","-2484","5104","824","-6141","-7560","36952","-744","-3347","15008","4437","4212","5808","1494","37070","-6064","-16332","11392","3367","-648","-32182","2158","-7956","184","-40459","11976","4692","-5088","-243","13284","-32574","768","33510","468","-8844","18700","39248","3924","3844","-8024","3708","1852","3174","-1068","4719","-3672","1728","-4912","-68","6660","7720","7224","-10068","1930","2316","2808","-24831","-24492","-1890","6060","20160","828","-10233","-3968","5130","12714","-26286","1476","-408","-5518","-3078","14960","45303","-162","26132","-1536","2865","-16068","2935","1296","-5014","15956","-4806","552","-37394","-6348","-14667","-11024","-14508","4392","-34847","-2448","-24062","-986","10515","5696","-8289","1440","-2326","-3588","-837","25592","42972","144","-20293","17796","3366","-1120","-5724","-6822","-1140","10080","-16215","-6696","14008","1452","-38974","3348","207","-7744","-6648","20826","25306","-872","2484","-34336","-3018","864","-2357","-4712","-12552","744","-37635","-384","10947","-6256","-9027","3128","-1494","-8088","-16340","24736","11046","-624","18503","-5526","-48802","9612","1098","-23876","-36696","-4944","-11976","-1140","3159","788","8717","20082","1663","-768","-18156","-34302","-1984","-4464","17010","-10764","-3924","-3088","-2810","-20202","30297","-5016","16830","1068","-216","-1104","19227","-26548","837","3476","-6660","1458","17036","544","-168","396","10769","-2808","25544","-14194","-12402","2048","8990","186","7061","1584","-7899","20224","-1053","6408","21353","-1476","966","1516","25056","408","9384","-5856","162","17004","-7847","-11580","-59986","5704","-8853","-1296","-11569","11340","1272","-26000","7488","-12290","6348","-192","961","-36668","-8712","-4792","-4675","2448","-34337","1520","-1863","2006","18710","972","-1440","-29306","-33108","-4464","37410","-17610","22230","1228","-7038","9960","-41840","-3312","-1806","3456","6822","-8188","-14824","-702","-22444","-992","20544","-1452","-1515","5916","42190","18624","-5562","1992"],"space":"186.4.a","level":186,"weight":4,"T":[[5,1],[7,3]],"status":"proven","derived":{"al":[[2,-1],[3,-1],[31,1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/186.4.a.g"}