{"label":"770.2.a.d","letter":"d","dim":1,"charpoly":["112","1"],"traces":["1","-1","0","1","1","0","1","-1","-3","-1","-1","0","-6","-1","0","1","-2","3","-4","1","0","1","-4","0","1","6","0","1","6","0","0","-1","0","2","1","-3","-2","4","0","-1","-6","0","-4","-1","-3","4","4","0","1","-1","0","-6","-2","0","-1","-1","0","-6","12","0","-2","0","-3","1","-6","0","-8","-2","0","-1","-8","3","-10","2","0","-4","-1","0","-8","1","9","6","-12","0","-2","4","0","1","10","3","-6","-4","0","-4","-4","0","-6","-1","3","1","14","0","-4","6","0","2","4","0","14","1","0","1","-6","0","-4","6","18","-12","-2","0","1","2","0","0","1","3","-8","-1","0","6","-12","0","-4","8","0","2","18","0","-20","1","0","8","6","-3","6","10","0","-2","6","0","8","4","6","1","0","0","-2","8","0","-1","-4","-9","8","-6","0","12","0","0","23","2","12","-4","-14","0","1","-1","0","-10","20","-3","6","6","0","4","-2","0","2","4","0","4","8","0","6","6","0","1","18","-3","-24","-1","0","-14","6","0","-6","4","12","-6","4","0","4","-2","0","-4","-4","0","0","-14","0","-1","12","0","-4","-1","-3","6","4","0","6","4","0","-6","-10","-18","4","12","0","2","-24","0","2","-1","0","-2","1","0","24","0","0","-1","20","-3","4","8","0","1","18","0","-2","-6","-18","12","16","0","-2","4","0","-8","-2","0","0","-2","0","-18","-1","0","26","20","0","-1","-30","0","-20","-8","0","-6","-6","3","-13","-6","0","-10","-14","0","12","2","0","-6","24","0","-4","-8","0","-4","-2","-6","-20","-1","0","0","0","0","10","2","-3","-8","14","0","-6","1","0","4","8","9","-6","-8","0","6","4","0","-28","-12","6","0","-8","0","22","-23","0","-2","0","-12","1","4","0","14","-28","0","-34","-1","0","1","-14","0","-8","10","0","-20","-16","3","-3","-6","0","-6","-10","0","20","-4","18","2","-2","0","34","-2","0","-4","-36","0","-12","-4","0","-8","-28","0","-1","-6","12","-6","6","0","8","-1","0","-18","-8","3","-34","24","0","1","34","0","0","14","9","-6","2","0","34","6","0","-4","12","-12","-12","6","0","-4","12","0","-26","-4","-12","2","-2","0","-2","4","0","4","8","0","-6","0","0","14","16","0","-24","1","-3","-12","16","0","10","4","0","1","2","3","6","-6","0","-4","-6","0","-26","-6","0","-4","6","0","20","6","0","10","0","18","-8","-4","0","-12","4","0","-4","-2","6","24","-24","0","12","-2","0","1","-6","0","-28","2","0","-1","20","0","-12","-24","3","0","-8","0","28","1","0","-20","-8","3","14","-4","0","-8","-2","0","-10","-1","0","-18","-4","0","-4","2","0","6","-22","18","-12","-12","0","-16","0","0","-7","2","-36","-4","36","0","4","8","0","2","-1","0","-18","0","0","2","14","0","36","18","6","1","-24","0","-8","-26","0","-20","-6","0","24","1","0","30","-4","0","-6","20","9","8","42","0","4","6","0","6","-4","-3","-38","13","0","6","-12","0","2","10","18","14","8","0","0","-12","0","-2","30","0","-2","6","0","-24","-40","0","26","4","24","8","1","0","40","4","0","2","-24","6","34","20","0","1","34","0","4","0","0","0","10","0","1","-10","0","-2","4","3","8","8","0","-14","-8","0","-6","6","24","-1","-30","0","32","-4","0","-8","-12","-9","-12","6","0","8","-42","0","-12","-6","30","-4","36","0","22","28","0","12","-4","-6","-24","0","0","8","2","0","-10","-22","0","23","-14","0","-6","2","0","0","24","12","18","-1","0","-4","12","0","-36","-14","3","28","-20","0","12","34","0","1","-42","0","8","-1","0","14","14","0","22","8","24","-10","0","0","6","20","0","16","-40","-3","-4","3","0","6","6","0","-12","6","-27","10","8","0","-46","-20","0","4","8","-18","-12","-2","0","2","0","0","6","-34","36","2","4","0","-32","4","0","36","8","0","6","12","0","4","-14","0","14","8","6","28","-72","0","-14","1","0","6","30","-12","0","6","0","-6","24","0","8","-8","0","1","-2","0","28","18","0","8","-6","-3","12","34","0","-24","-34","0","-8","-1","-30","-34","10","0","-4","0","0","-14","-46","-9","52","6","0","-2","8","0","16","-34","18","-6","30","0","4","4","0","-12","-12","12","30","12","0","-6","-2","0","0","4","0","-12","-40","0","7","26","0","4","23","12","1","-2","0","2","8","0","-6","2","12","-4","-42","0","-44","-4","0","-8","-52","0","-14","6","0","0","8","0","48","-14","18","-16","1","0","10","24","0","-1","2","3","56","12","0","-16","-48","0","-8","-10","-9","-4","-16","0","20","-1","0","-2","0","-3","4","-6","0","6","6","0","32","4","-42","6","-40","0","12","26","0","6","-12","0","-40","4","0","-6","48","0","-2","-20","12","-6","-30","0","-4","-10","0","0","2","-18","-50","8","0","4","38","0","24","12","0","-4","24","0","60","4","0","2","22","-6","8","-24","0","24","18","0","-31","-12","-12","2","6","0","-32","-1","0","6","-52","0","-20","28","0","-2","-54","0","-10","1","-42","-20","-4","0","18","12","0","24","16","-3","-40","0","0","8","-24","0","10","-28","0","-1"],"lmfdb":"agrees","curve":{"cremona":"770e1","lmfdb":"770.d","ainvs":[1,-1,0,-29,-635],"rank":1,"torsion":2},"space":"770.2.a","level":770,"weight":2,"T":[[3,1],[13,2],[19,3],[23,4],[29,5],[17,6],[31,7],[37,8],[41,9],[43,10],[47,11],[53,12]],"status":"proven","derived":{"al":[[2,1],[5,-1],[7,-1],[11,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/770.2.a.d"}