{"label":"330.2.a.b","letter":"b","dim":1,"charpoly":["92","1"],"traces":["1","-1","-1","1","1","1","-4","-1","1","-1","1","-1","-2","4","-1","1","-2","-1","-8","1","4","-1","0","1","1","2","-1","-4","2","1","-8","-1","-1","2","-4","1","-10","8","2","-1","-10","-4","0","1","1","0","0","-1","9","-1","2","-2","14","1","1","4","8","-2","-4","-1","14","8","-4","1","-2","1","-4","-2","0","4","8","-1","10","10","-1","-8","-4","-2","12","1","1","10","4","4","-2","0","-2","-1","-6","-1","8","0","8","0","-8","1","-14","-9","1","1","-6","-2","8","2","4","-14","-4","-1","-10","-1","10","-4","-6","-8","0","2","-2","4","8","1","1","-14","10","-8","1","4","-12","-1","0","2","-12","-1","32","4","-1","2","18","0","0","-4","0","-8","-2","1","2","-10","-9","-10","2","1","4","8","-2","4","-8","2","-2","-12","-14","-1","0","-1","-12","-10","-1","-4","24","-4","-9","2","-8","0","-22","2","-4","1","4","6","12","1","6","-8","-14","0","-10","-8","-2","0","4","8","-16","-1","10","14","2","9","2","-1","0","-1","4","6","-8","2","-10","-8","0","-2","-8","-4","-24","14","-8","4","0","1","32","10","-10","1","4","-10","16","4","1","6","4","8","-10","0","4","-2","-2","2","0","-4","-12","-8","-24","-1","26","-1","-1","14","9","-10","16","8","-4","-1","-12","-4","0","12","2","1","18","0","40","-2","2","12","8","1","14","-32","6","-4","-10","1","-28","-2","-8","-18","1","0","-10","0","-8","4","6","0","-16","8","8","2","40","-1","-13","-2","14","10","-6","9","-4","10","-1","-2","0","-1","0","-4","6","-8","14","2","0","-4","-8","8","32","-2","-22","2","-4","12","-18","14","2","1","4","0","16","1","-2","12","10","10","0","1","12","4","-10","-24","-4","4","2","9","6","-2","-8","8","-8","0","0","22","-4","-2","-2","4","2","-1","-14","-4","8","-6","-8","-12","24","-1","45","-6","-1","8","10","14","0","0","-10","10","-56","8","-34","2","-1","0","-4","-4","-20","-8","12","16","24","1","-4","-10","0","-14","22","-2","0","-9","12","-2","12","1","-18","0","-32","1","-38","-4","16","-6","1","8","-10","-2","-14","10","-18","8","16","0","4","2","0","8","-36","4","-26","24","0","-14","-2","8","-56","-4","2","0","24","-1","-14","-32","-2","-10","0","10","-4","-1","9","-4","-4","10","-6","-16","-2","-4","-14","-1","-10","-6","-4","-4","8","-8","10","10","2","0","26","-4","32","2","8","2","20","-2","16","0","2","4","0","12","-8","8","14","24","40","1","20","-26","0","1","-14","1","16","-14","12","-9","20","10","-4","-16","1","-8","-32","4","-4","1","-24","12","24","4","-6","0","9","-12","-42","-2","-40","-1","8","-18","8","0","0","-40","22","2","2","-2","-32","-12","4","-8","16","-1","-23","-14","-4","32","20","-6","-4","4","-12","10","9","-1","38","28","-6","2","-10","8","8","18","14","-1","-16","0","-48","10","10","0","34","8","0","-4","2","-6","-36","0","-6","16","-4","-8","-18","-8","8","-2","16","-40","0","1","-14","13","-10","2","-16","-14","14","-10","-2","6","44","-9","64","4","-2","-10","-42","1","8","2","0","0","0","1","10","0","-4","4","1","-6","-12","8","8","-14","0","-2","-2","0","10","4","-30","8","-4","-8","0","-32","24","2","1","22","8","-2","20","4","-32","-12","24","18","-12","-14","-18","-2","8","-1","34","-4","-44","0","0","-16","16","-1","-4","2","-32","-12","22","-10","-12","-10","10","0","36","-1","-10","-12","-4","-4","32","10","0","24","-16","4","14","-4","10","-2","-1","-9","-46","-6","56","2","-4","8","-12","-8","18","8","10","0","-28","0","36","-22","-4","4","0","2","20","2","2","-4","-6","-2","80","1","0","14","24","4","-10","-8","12","6","0","8","-2","12","24","-24","-16","1","-32","-45","-26","6","2","1","16","-8","1","-10","0","-14","14","0","-9","0","-4","10","16","-10","-16","56","-32","-8","2","34","4","-2","16","1","8","0","12","4","4","4","-42","20","0","8","30","-12","40","-16","-2","-24","8","-1","34","4","-18","10","14","0","-8","14","-40","-22","80","2","8","0","-2","9","-2","-12","-40","2","-8","-12","24","-1","-28","18","-14","0","-34","32","0","-1","-6","38","10","4","0","-16","10","6","30","-1","0","-8","28","10","-12","2","0","14","8","-10","26","18","-24","-8","-1","-16","12","0","-2","-4","10","-2","-18","0","24","-8","8","36","-16","-4","-25","26","-6","-24","-9","0","-4","14","16","2","0","-8","14","56","-8","4","-42","-2","28","0","-40","-24","-24","1","-22","14","13","32","12","2","8","10","-14","0","-4","-10","6","4","6","1","-54","-9","-4","4","4","4","-48","-10","48","6","1","16","0","2","12","4","0","14","-16","1","-28","10","0","6","6","4","28","4","-6","-8","-16","8","4","-10","-14","-10","48","-2","-20","0","0","-26","-16","4","-10","-32","8","-2","-6","-8","-72","-2","-32","-20","-2","2","-14","-16","22","0","-30","-2","0","-4","4","0","-36","-12","-20","8","18","-8","6","-14","-16","-24","-2","-40","-72","-1","33","-20","-4","26","10","0","60","-1","-16","14","-36","-1","0","-16","2","14","-54","-12","-6","9","-10","-20","-32","-10","2","4","0","16","0","-1","40","8","-12","32","0","-4","14","4","10","-1"],"lmfdb":"agrees","curve":{"cremona":"330e1","lmfdb":"330.b","ainvs":[1,1,0,-22,-44],"rank":1,"torsion":2},"space":"330.2.a","level":330,"weight":2,"T":[[7,1],[13,2],[17,3],[19,4],[23,5],[29,6],[31,7],[37,8],[41,9],[43,10],[47,11],[53,12]],"status":"proven","derived":{"al":[[2,1],[3,1],[5,-1],[11,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/330.2.a.b"}