{"label":"345.2.a.d","letter":"d","dim":1,"charpoly":["102","1"],"traces":["1","0","1","-2","-1","0","-3","0","1","0","-4","-2","0","0","-1","4","-3","0","-8","2","-3","0","1","0","1","0","1","6","9","0","-5","0","-4","0","3","-2","-9","0","0","0","7","0","4","8","-1","0","-2","4","2","0","-3","0","13","0","4","0","-8","0","-3","2","-14","0","-3","-8","0","0","13","6","1","0","-13","0","-4","0","1","16","12","0","0","-4","1","0","-1","6","3","0","9","0","-8","0","0","-2","-5","0","8","0","10","0","-4","-2","9","0","8","0","3","0","11","-2","-16","0","-9","-12","1","0","-1","-18","0","0","9","0","5","0","7","10","-1","0","-18","0","4","0","-4","8","24","0","-1","0","2","0","-3","-6","-2","0","0","4","-9","0","2","18","-14","0","-8","0","-3","0","5","0","-3","0","13","0","-3","0","-2","-14","4","0","-22","0","-13","0","-8","-8","-24","0","-3","-16","-3","0","0","2","0","0","-14","0","9","0","12","4","-3","0","-2","-8","4","0","0","-4","2","0","-18","0","13","0","-27","6","-7","0","1","0","32","0","7","-26","-13","0","-4","0","15","0","-4","-8","0","0","10","0","1","0","-4","16","4","0","12","0","-8","0","2","6","0","0","13","-4","20","0","1","28","-2","0","0","0","-1","0","18","6","-4","0","3","16","18","0","27","0","9","0","-23","0","-13","0","-8","-26","-17","0","-23","-12","0","0","-4","-2","18","0","-5","0","24","0","-5","26","8","0","-21","0","-8","0","10","8","19","0","3","0","-4","0","0","-2","-12","0","9","-32","14","0","0","-24","8","0","-8","0","25","0","3","0","30","0","-36","8","11","0","24","-2","0","0","-16","0","6","0","7","2","-9","0","-13","-12","10","0","1","-6","20","0","15","0","-1","0","-16","-18","-1","0","0","0","-6","0","13","16","9","0","-2","0","45","0","5","0","4","0","31","4","7","0","-39","10","-6","0","-1","0","0","0","-8","-16","-18","0","-23","0","-12","0","4","-20","-30","0","-3","0","-4","0","0","8","8","0","24","4","30","0","0","-18","-1","0","36","0","25","0","2","-16","9","0","1","0","-3","0","0","-6","4","0","-2","0","-3","0","42","-22","0","0","20","4","-37","0","-9","32","-8","0","-24","0","2","0","6","18","8","0","-14","24","-11","0","-28","-2","-8","0","0","0","-35","0","-3","2","26","0","-20","36","5","0","-13","0","-39","0","-3","0","-16","0","-8","-18","13","0","6","0","0","0","-3","-10","-10","0","2","0","-2","0","3","-14","-27","0","4","-20","39","0","21","2","-22","0","21","0","-9","0","-13","36","30","0","12","0","-8","0","-8","-8","8","0","-24","0","-12","0","-20","8","-3","0","15","-16","1","0","-3","-48","0","0","-11","0","0","0","-8","2","-10","0","0","0","16","0","20","-4","-14","0","-72","0","0","0","9","6","21","0","0","12","12","0","-11","4","-1","0","-3","0","-6","0","-22","0","-2","0","1","-8","-20","0","4","18","3","0","-52","0","0","0","14","-4","40","0","2","-36","18","0","-9","28","-18","0","-4","0","-41","0","13","16","-5","0","-10","0","-27","0","0","6","14","0","-7","0","-33","0","-4","-10","1","0","24","0","1","0","32","6","27","0","38","0","7","0","18","-26","0","0","-13","0","-20","0","13","6","-4","0","12","0","12","0","15","4","16","0","4","28","-4","0","12","-8","-14","0","0","0","-24","0","9","44","10","0","56","0","-34","0","1","26","-45","0","-30","0","-4","0","26","16","-2","0","4","16","0","0","8","48","12","0","3","0","-21","0","-8","6","-6","0","72","32","2","0","-27","6","22","0","0","0","-5","0","0","0","13","0","-7","-4","-24","0","20","0","9","0","-37","0","1","0","-12","28","51","0","-2","0","-52","0","27","-18","0","0","-48","0","14","0","-1","-24","-33","0","-16","-8","18","0","8","6","45","0","-4","0","-41","0","48","4","3","0","0","16","6","0","18","-8","-46","0","-5","0","27","0","-56","0","52","0","9","8","3","0","-27","-4","-23","0","-3","0","0","0","-13","36","27","0","6","0","-8","0","16","-26","3","0","-17","0","-39","0","-25","54","-23","0","2","-12","-32","0","0","14","-10","0","-16","0","-4","0","37","-2","-27","0","18","0","-6","0","22","-64","-5","0","-6","0","52","0","24","-14","13","0","-15","52","-5","0","-9","26","-46","0","8","0","-18","0","43","8","-21","0","54","0","24","0","-8","-30","0","0","0","0","10","0","3","8","-22","0","19","16","30","0","-34","0","3","0","-46","0","54","0","-4","-20","16","0","0","0","0","0","-45","-2","-39","0","-12","0","0","0","53","8","9","0","-40","-32","4","0","14","-8","12","0","24","0","0","0","0","-24","-9","0","8","0","57","0","-16","16","-8","0","-12","0","10","0","25","-4","10","0","7","-12","3","0","-8","0","0","0","30","0","-22","0","2","-26","-36","0","-6","8","-6","0","11","-40","-4","0","10","0","24","0","-12","-2","9","0","0","-56","-25","0","32","4","-16","0","15","0","-2","0","6","0","4","0","-33","0","7","0","18","2","8","0","-9","0"],"lmfdb":"agrees","curve":{"cremona":"345b1","lmfdb":"345.d","ainvs":[0,1,1,-1,1],"rank":1,"torsion":1},"space":"345.2.a","level":345,"weight":2,"T":[[2,1],[7,3],[13,5],[17,7],[19,9]],"status":"proven","derived":{"al":[[3,-1],[5,1],[23,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/345.2.a.d"}