{"label":"38.4.a.a","letter":"a","dim":1,"charpoly":["11","1"],"traces":["1","-2","-2","4","-9","4","-31","-8","-23","18","57","-8","-52","62","18","16","69","46","19","-36","62","-114","-72","16","-44","104","100","-124","-150","-36","32","-32","-114","-138","279","-92","-226","-38","104","72","-258","-124","-67","228","207","144","579","-32","618","88","-138","-208","-432","-200","-513","248","-38","300","-330","72","-13","-64","713","64","468","228","-856","276","144","-558","642","184","-487","452","88","76","-1767","-208","-700","-144","421","516","-12","248","-621","134","300","-456","-600","-414","1612","-288","-64","-1158","-171","64","1424","-1236","-1311","-176","1062","276","1178","416","-558","864","114","400","1460","1026","452","-496","-822","76","648","-600","1196","660","-2139","-144","1918","26","516","128","1521","-1426","-2086","-128","134","-936","-93","-456","-589","1712","-900","-552","1269","-288","-1975","1116","-1158","-1284","-2964","-368","1350","974","-1236","-904","-1695","-176","1802","-152","-1587","3534","-288","416","-3226","1400","864","288","2232","-842","1268","-1032","1026","24","654","-496","507","1242","-437","-268","-1362","-600","1364","912","660","1200","-210","828","2","-3224","26","576","2034","128","3933","2316","-3100","342","-2643","-128","3248","-2848","-936","2472","-3126","2622","-2995","352","1712","-2124","4650","-552","2322","-2356","1656","-832","1083","1116","-4318","-1728","-1284","-228","603","-800","-992","-2920","974","-2052","-3588","-904","518","992","1012","1644","2844","-152","1745","-1296","3534","1200","5283","-2392","-5211","-1320","1400","4278","465","288","-7078","-3836","-3542","-52","-5562","-1032","-988","-256","24","-3042","3567","2852","-4104","4172","1242","256","-1896","-268","7006","1872","3450","186","-57","912","3888","1178","1200","-3424","2700","1800","3872","1104","-3224","-2538","-2508","576","-7711","3950","-736","-2232","-6858","2316","-1807","2568","342","5928","7998","736","-152","-2700","-2848","-1948","-3012","2472","2970","1808","5700","3390","3744","352","2077","-3604","-2124","304","117","3174","-1096","-7068","-2356","576","1947","-832","7598","6452","-6417","-2800","8334","-1728","-8550","-576","-228","-4464","1311","1684","2288","-2536","-2920","2064","-17949","-2052","-8368","-48","5198","-1308","7704","992","-10336","-1014","1644","-2484","1824","874","-8525","536","-1296","2724","6879","1200","-6355","-2728","-5200","-1824","7218","-1320","-5778","-2400","4278","420","1665","-1656","361","-4","-3836","6448","4383","-52","13064","-1152","5934","-4068","13392","-256","-10492","-7866","-3042","-4632","7800","6200","7610","-684","4172","5286","4008","256","15903","-6496","1541","5696","-3525","1872","-4968","-4944","186","6252","6300","-5244","6629","5990","1178","-704","-10848","-3424","-1664","4248","-3789","-9300","-12882","1104","-3040","-4644","-2538","4712","10230","-3312","108","1664","3950","-2166","-3900","-2232","4412","8636","-13317","3456","-3036","2568","403","456","5928","-1206","432","1600","-2002","1984","-2700","5840","-1368","-1948","-1690","4104","-14214","7176","-1977","1808","5400","-1036","3390","-1984","-2760","-2024","-14706","-3288","-3604","-5688","-14508","304","4499","-3490","6900","2592","-11643","-7068","-1537","-2400","576","-10566","-7641","4784","26536","10422","6452","2640","-3819","-2800","-836","-8556","9936","-930","-8580","-576","11752","14156","-4464","7672","-12816","7084","12134","104","-2536","11124","-5508","2064","-10350","1976","11799","512","-19902","-48","-11905","6084","-1308","-7134","9108","-5704","-9558","8208","-1014","-8344","-2520","-2484","15097","-512","1900","3792","-10602","536","33003","-14012","2724","-3744","21612","-6900","-9022","-372","-2728","114","2208","-1824","-6983","-7776","7590","-2356","13416","-2400","-1026","6848","420","-5400","35226","-3600","-9253","-7744","-4","-2208","-13140","6448","13244","5076","299","5016","-2850","-1152","21700","15422","-4068","-7900","1569","1472","3484","4464","-7866","13716","-15762","-4632","7398","3614","-13051","-5136","-13800","-684","-4348","-11856","5286","-15996","3168","-1472","3539","304","-6496","5400","372","5696","-24624","3896","-10764","6024","-6321","-4944","608","-5940","6252","-3616","13278","-11400","19251","-6780","5990","-7488","20400","-704","-22198","-4154","19688","7208","-17262","4248","9824","-608","-9300","-234","-30108","-6348","-4327","2192","-4644","14136","-14151","4712","22460","-1152","-7200","-3894","18600","1664","-8189","-15196","-2166","-12904","-15594","12834","-16363","5600","8636","-16668","18774","3456","-32136","17100","-14766","1152","5592","456","16553","8928","-1206","-2622","-4611","-3368","-18810","-4576","1984","5072","16413","5840","837","-4128","11201","35898","27390","4104","26912","16736","7176","96","5301","-10396","10800","2616","-1036","-15408","-741","-1984","-21562","20672","-4400","2028","-21966","-3288","-44144","4968","-5688","-3648","15348","-1748","-11421","17050","-3490","-1072","22464","2592","8147","-5448","40641","-13758","17775","-2400","-17802","12710","-10566","5456","14982","10400","-4294","3648","10422","-14436","-32922","2640","21890","11556","16100","4800","-2304","-8556","26676","-840","-930","-3330","-27015","3312","-36518","-722","14156","8","6600","7672","-13021","-12896","-4283","-8766","-4623","104","-6262","-26128","11124","2304","-48792","-11868","-10855","8136","1976","-26784","-14892","512","15255","20984","276","15732","-3534","6084","28952","9264","-7134","-15600","-16218","-12400","-3541","-15220","8208","1368","22617","-8344","-45260","-10572","14283","-8016","17160","-512","11495","-31806","3792","12992","-14622","-3082","-1408","-11392","-14012","7050","-4902","-3744","36594","9936","-15000","9888","29034","-372","7124","-12504","114","-12600","25482","10488","676","-13258","-7776","-11980","-3576","-2356","39951","1408","13800","21696","-27759","6848","-20088","3328","-5400","-8496","42855","7578","-15568","18600","-7744","25764","-11412","-2208","-1273","6080","-37076","9288","2517","5076","-9727","-9424","5016","-20460","28224","6624","3080","-216","15422","-3328","42642","-7900","-5886","4332","3200","7800","26790","4464","-1889","-8824","13716","-17272","-4563","26634","-59458","-6912","3614","6072","16272","-5136","19178","-806","3933","-912","-2406","-11856","9125","2412","-15996","-864","8898","-3200","12258","4004","304","-3968","-39900","5400","44512","-11680","-32752","2736","-47151","3896","-15886","3380","6024","-8208","-25683","28428","-28267","-14352","-5940","3954","-2466","-3616","64666","-10800","23997","2072","11001","-6780","1890","3968","-7488","5520","-4800","4048","-29808","29412","-4154","6576","-18","7208","29324","11376","-24426","29016","47142","-608","-684","-8998","-234","6980","2883","-13800","-39940","-5184","2192","23286","-33384","14136","9944","3074","-27094","4800","-4410","-1152","11742","21132","-3894","15282","-35397","-9568","-41671","-53072","-15196","-20844","4062","-12904","18576","-5280","27900","7638","-45036","5600","25324","1672","-16668","17112","26508","-19872","23787","1860","17100","17160","-39339","1152","-28767","-23504","-2622","-28312","-29232","8928","-15976","-15344","-2622","25632","-39468","-14168","61225","-24268","-4576","-208","21804","5072","-34200","-22248","-33580","11016","11268","-4128","28134","20700","35898","-3952","4824","-23598","-778","-1024","16736","39804","26955","96","389","23810","-22600","-12168"],"space":"38.4.a","level":38,"weight":4,"T":[[3,1],[5,1]],"status":"proven","derived":{"al":[[2,1],[19,-1]],"fricke":-1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/38.4.a.a"}