{"label":"278.2.a.d","letter":"d","dim":3,"charpoly":["57","-126","-3","1"],"traces":["3","-3","3","3","0","-3","9","-3","0","0","0","3","0","-9","6","3","0","0","9","0","6","0","-6","-3","9","0","0","9","6","-6","-3","-3","-6","0","6","0","12","-9","0","0","-3","-6","3","0","0","6","-9","3","12","-9","-12","0","9","0","-24","-9","0","-6","-15","6","3","3","-9","3","-36","6","-18","0","0","-6","-15","0","12","-12","-3","9","-6","0","-15","0","-9","3","6","6","-12","-3","-18","0","-21","0","-18","-6","6","9","0","-3","6","-12","0","9","15","12","30","0","30","-9","-6","0","27","24","-6","9","21","0","-12","6","18","15","6","-6","-9","-3","30","-3","24","9","9","-3","12","36","-24","-6","36","18","-36","0","27","0","3","6","-15","15","36","0","-24","-12","0","12","21","3","6","-9","-18","6","-36","0","6","15","-18","0","-30","9","0","-3","-12","-6","-3","-6","33","12","-18","3","12","18","51","0","-48","21","-3","0","-36","18","36","6","0","-6","12","-9","-9","0","-33","3","15","-6","-36","12","15","0","-6","-9","-6","-15","30","-12","42","-30","18","0","0","-30","-60","9","-18","6","18","0","-36","-27","-6","-24","0","6","6","-9","-36","-21","9","0","15","12","-30","-6","6","-18","-6","-15","-9","-6","-3","6","-12","9","-27","3","42","-30","-18","3","18","-24","-12","-9","12","-9","12","3","-3","-12","54","-36","-36","24","21","6","-36","-36","-9","-18","15","36","12","0","-36","-27","-24","0","39","-3","36","-6","18","15","12","-15","36","-36","-21","0","-27","24","-6","12","15","0","-24","-12","36","-21","36","-3","9","-6","15","9","78","18","-30","-6","36","36","12","0","-3","-6","0","-15","51","18","24","0","-54","30","18","-9","-72","0","39","3","-24","12","-39","6","-36","3","12","6","-24","-33","9","-12","36","18","6","-3","-36","-12","54","-18","-6","-51","54","0","-36","48","-12","-21","-24","3","-60","0","-12","36","-21","-18","0","-36","-39","-6","45","0","36","6","-33","-12","36","9","0","9","15","0","15","33","54","-3","-96","-15","9","6","57","36","-12","-12","-36","-15","78","0","-39","6","9","9","48","6","90","15","-18","-30","0","12","21","-42","24","30","-24","-18","48","0","3","0","-51","30","18","60","-9","-9","24","18","15","-6","36","-18","-30","0","-39","36","36","27","-36","6","-30","24","-45","0","9","-6","-6","-6","69","9","6","36","-42","21","-18","-9","-144","0","12","-15","18","-12","36","30","-33","6","-60","-6","15","18","-60","6","30","15","-18","9","63","6","-36","3","36","-6","-36","12","-18","-9","-12","27","48","-3","-54","-42","15","30","48","18","36","-3","-48","-18","-15","24","30","12","-12","9","-18","-12","69","9","15","-12","54","-3","0","3","24","12","6","-54","12","36","-48","36","0","-24","30","-21","-18","-6","-33","36","-54","36","-18","9","-48","18","72","-15","-42","-36","-12","-12","-24","0","-42","36","-27","27","27","24","54","0","-12","-39","60","3","60","-36","-18","6","-12","-18","-66","-15","6","-12","-18","15","-33","-36","-3","36","-54","21","-66","0","-30","27","84","-24","30","6","36","-12","36","-15","72","0","-45","24","24","12","-57","-36","-48","21","-48","-36","-54","3","9","-9","18","6","24","-15","-21","-9","-36","-78","0","-18","-12","30","-30","6","-12","-36","-36","-36","18","-12","-78","0","3","3","-36","6","36","0","-42","15","-60","-51","-66","-18","-108","-24","0","0","-30","54","21","-30","6","-18","-9","9","24","72","-33","0","-3","-39","-12","-3","-36","24","81","-12","69","39","-36","-6","18","36","-36","-3","66","-12","-78","-6","33","24","-36","33","66","-9","24","12","108","-36","-12","-18","-120","-6","-6","3","18","36","15","12","0","-54","0","18","-66","6","18","51","6","-54","72","0","-12","36","36","-48","3","12","-27","21","60","24","72","-3","-57","60","-60","0","96","12","48","-36","66","21","-12","18","0","0","-18","36","-36","39","90","6","-12","-45","48","0","-54","-36","-30","-6","66","33","0","12","6","-36","-30","-9","54","0","-96","-9","69","-15","36","0","-33","-15","48","-33","36","-54","-18","3","48","96","-6","15","36","-9","-117","-6","6","-57","-54","-36","12","12","36","12","96","36","12","15","66","-78","78","0","-90","39","36","-6","-57","-9","12","-9","27","-48","0","-6","-60","-90","15","-15","-6","18","-54","30","-60","0","0","-12","0","-21","36","42","75","-24","24","-30","-66","24","51","18","45","-48","48","0","24","-3","60","0","54","51","-3","-30","21","-18","6","-60","144","9","-3","9","48","-24","-60","-18","45","-15","18","6","42","-36","114","18","69","30","21","0","0","39","-39","-36","-78","-36","0","-27","-18","36","84","-6","45","30","72","-24","21","45","42","0","12","-9","-126","6","-12","6","18","6","-18","-69","30","-9","72","-6","-42","-36","54","42","33","-21","-60","18","39","9","9","144","-57","0","-48","-12","18","15","-66","-18","0","12","48","-36","18","-30","108","33","0","-6","54","60","81","6","-6","-15","-24","-18","-66","60","33","-6","-120","-30","30","-15","-144","18","48","-9","-36","-63","72","-6","-48","36","42","-3","-36","-36","24","6","36","36","-72","-12","96","18","30","9","-18","12","-120","-27","9","-48","-144","3","39","54","6","42","45","-15","-120","-30","54","-48","-30","-18","-6","-36","42","3","-12","48","-96","18","-18","15","0","-24"],"lmfdb":"agrees","space":"278.2.a","level":278,"weight":2,"T":[[3,1],[5,3]],"status":"proven","derived":{"al":[[2,1],[139,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/278.2.a.d"}