{"label":"189.4.a.d","letter":"d","dim":1,"charpoly":["33","1"],"traces":["1","3","0","1","-12","0","7","-21","0","-36","12","0","-61","21","0","-71","-117","0","2","-12","0","36","-75","0","19","-183","0","7","3","0","263","-45","0","-351","-84","0","218","6","0","252","-246","0","515","12","0","-225","318","0","49","57","0","-61","-459","0","-144","-147","0","9","-255","0","-862","789","0","433","732","0","479","-117","0","-252","-117","0","-430","654","0","2","84","0","-646","852","0","-738","-348","0","1404","1545","0","-252","-585","0","-427","-75","0","954","-24","0","-376","147","0","19","-978","0","-655","1281","0","-1377","-108","0","272","-432","0","-497","2256","0","900","3","0","-765","-819","0","-1187","-2586","0","263","1272","0","1784","1659","0","2196","-1749","0","14","1437","0","2457","-1374","0","2450","-84","0","-351","-732","0","-36","-1290","0","218","-921","0","650","-42","0","252","-3156","0","-871","-1938","0","540","-525","0","-3697","-246","0","-1044","1824","0","1524","4212","0","515","-744","0","133","-852","0","-1755","-4572","0","-3481","-1281","0","1575","-2616","0","-1404","318","0","-72","3756","0","-4867","-1128","0","49","-18","0","-1807","-399","0","-2934","21","0","2952","-1965","0","4331","24","0","-4273","-459","0","-324","-6180","0","1841","816","0","-144","7137","0","2648","-315","0","6768","5493","0","-790","2700","0","-63","6228","0","-3816","-255","0","-2457","4812","0","1622","-3561","0","-862","-588","0","-122","-5523","0","3816","-2880","0","-900","5352","0","1513","-2190","0","1526","732","0","-5247","-1869","0","5508","42","0","479","-2268","0","2027","8307","0","-4122","228","0","3944","7350","0","1764","4602","0","-3220","-117","0","-2196","-1722","0","8776","-108","0","-430","6810","0","3060","-4578","0","-2763","4575","0","3605","1950","0","-142","10344","0","758","84","0","-9468","-9480","0","3350","-2613","0","-646","426","0","36","-5196","0","-1575","-234","0","-1159","-11091","0","5166","2226","0","-3103","-348","0","5472","-5748","0","-11725","4572","0","1404","3156","0","343","-10815","0","-2232","-1506","0","10289","399","0","-540","12693","0","1404","-585","0","-13716","5031","0","-6855","-10443","0","-427","5160","0","9479","5325","0","-7848","-3213","0","-8566","-4212","0","-6678","-183","0","-2320","-24","0","11268","-1092","0","-1008","-14601","0","-376","-12570","0","8775","-1029","0","-54","7752","0","-6802","-5421","0","-1349","-8526","0","-16043","-978","0","63","2616","0","13466","8856","0","-655","-1785","0","4176","2745","0","72","-15339","0","-4102","-12819","0","9639","-2223","0","-6034","-108","0","-18540","-2592","0","-9448","5523","0","272","-150","0","11369","3024","0","21411","-10842","0","7020","7944","0","3031","13140","0","-2952","2256","0","16479","5124","0","1379","-2370","0","900","678","0","15734","-213","0","18684","-7416","0","3353","-11448","0","5355","6180","0","38","-819","0","14436","-1248","0","-13298","4866","0","-1187","4512","0","-20950","18102","0","-1764","-768","0","-351","-366","0","-18673","-819","0","4772","1272","0","-8640","11088","0","11736","-2700","0","1784","16854","0","-3010","-8733","0","-6570","7860","0","3816","4578","0","-15372","3195","0","920","-1749","0","-5607","-30771","0","-6542","16524","0","14","15006","0","1296","-10059","0","-6804","588","0","-7180","6081","0","5265","-3264","0","11612","-1374","0","684","6","0","-4522","11832","0","2450","9819","0","-31415","5964","0","13806","15801","0","-27072","-9660","0","2457","-8340","0","1073","-732","0","-5166","-1425","0","22466","26328","0","-36","-2436","0","-5508","9030","0","20430","-3219","0","526","9180","0","-15478","-9342","0","9828","-921","0","13725","6927","0","-15172","10815","0","650","14244","0","-4921","-90","0","31032","-19398","0","218","2274","0","-1764","-22350","0","9290","-3156","0","-28440","-4095","0","-17639","10050","0","-871","-25506","0","13988","13566","0","1278","-21408","0","-2989","108","0","-19908","11388","0","9956","-525","0","-702","7830","0","-3060","-3477","0","-3697","3633","0","20988","17466","0","6678","-6036","0","-5110","-9309","0","7308","-168","0","-225","1824","0","-17244","-10344","0","-12553","-35175","0","1524","22872","0","-2632","-29484","0","9468","-21672","0","16488","1029","0","-36565","27999","0","17120","-744","0","-4518","-29400","0","28782","30867","0","133","5562","0","436","5196","0","38079","-6846","0","16256","4212","0","12285","-19725","0","8784","-4572","0","15093","-20016","0","-4585","-20565","0","-3481","57","0","3539","8967","0","15480","-60255","0","-19663","28437","0","3375","5748","0","-17116","-2616","0","-9639","31641","0","11052","-25698","0","-1404","-756","0","-17314","-22578","0","-549","-7800","0","12476","-6960","0","504","-21855","0","1904","3756","0","-3276","15555","0","-5812","-3024","0","-4867","-252","0","4997","7896","0","-37710","-492","0","-1404","26325","0","-3479","10452","0","-12886","-18","0","23256","15792","0","52582","-20406","0","-1807","-39342","0","-37206","-855","0","-25578","-5160","0","6300","-48129","0","20538","33264","0","-10258","21","0","7848","44364","0","1030","40398","0","2952","-33063","0","-13102","13755","0","-5355","25182","0","-17170","12528","0","-26413","-5733","0","-21888","24","0","-46017","4458","0","-24380","-12306","0","-4273","-18288","0","-8309","32589","0","-6669","-16350","0","39773","-18102","0","2268","-4191","0","19946","-6180","0","-7776","41067","0","8928","-28344","0","1841","-7752","0","-29219","-5712","0","-450","8904","0","-32056","34107","0","10224","-1899","0","8021","7137","0","-32526","6540","0","12488","21060","0","2648","636","0","54864","11613","0","39420","789","0","53703","-8856","0","-47376","41772","0","5780","5493","0","15372","27480","0","-4176","4137","0","-790","-12243","0","-7450","-18900","0","2034","7137","0","4142","47202","0","-135","-7602","0","98","6228","0","-22248","16848","0","-6316","10059","0","-3816","25170","0","18450","18105","0","18540","20874","0","26230","114","0","17199","-31824","0","-45072","4812","0","-3744","-9618","0","39378","-39894","0","1622","58404","0","7040","24927","0","13536","-27189","0","17150","-62850","0","61202","-33438","0","-7020","-588","0","-2304","16212","0","216","-1053","0","-122","-38625","0","24194","-11835","0","-2457","21684","0","-27565","14316","0","-26712"],"space":"189.4.a","level":189,"weight":4,"T":[[2,1],[5,3]],"status":"proven","derived":{"al":[[3,null],[7,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/189.4.a.d"}