{"label":"516.2.a.c","letter":"c","dim":1,"charpoly":["-76","1"],"traces":["1","0","1","0","0","0","0","0","1","0","-2","0","6","0","0","0","6","0","4","0","0","0","2","0","-5","0","1","0","-8","0","0","0","-2","0","0","0","6","0","6","0","6","0","1","0","0","0","-6","0","-7","0","6","0","-6","0","0","0","4","0","-10","0","6","0","0","0","0","0","4","0","2","0","-16","0","14","0","-5","0","0","0","-8","0","1","0","-6","0","0","0","-8","0","8","0","0","0","0","0","0","0","-2","0","-2","0","10","0","4","0","0","0","-10","0","-14","0","6","0","-12","0","0","0","6","0","0","0","-7","0","6","0","0","0","-20","0","1","0","0","0","0","0","0","0","0","0","16","0","-6","0","-12","0","0","0","-7","0","-4","0","-8","0","6","0","0","0","-10","0","-6","0","0","0","-4","0","0","0","-18","0","23","0","4","0","6","0","0","0","-10","0","20","0","-10","0","6","0","0","0","-12","0","0","0","4","0","22","0","0","0","2","0","8","0","4","0","0","0","0","0","2","0","-8","0","12","0","-16","0","0","0","0","0","14","0","36","0","-8","0","-5","0","4","0","10","0","0","0","16","0","0","0","-8","0","-26","0","-18","0","1","0","0","0","24","0","-6","0","-2","0","-4","0","0","0","20","0","0","0","-8","0","24","0","0","0","8","0","26","0","-16","0","0","0","10","0","-22","0","0","0","18","0","20","0","0","0","0","0","19","0","-2","0","10","0","0","0","-2","0","12","0","0","0","10","0","0","0","16","0","4","0","10","0","-22","0","0","0","-2","0","16","0","-10","0","24","0","-30","0","-14","0","0","0","-4","0","6","0","0","0","-18","0","-12","0","0","0","0","0","0","0","-12","0","-2","0","6","0","-18","0","0","0","0","0","-34","0","-3","0","-7","0","0","0","8","0","6","0","0","0","6","0","0","0","-48","0","4","0","-20","0","16","0","0","0","1","0","36","0","12","0","0","0","0","0","-14","0","0","0","-10","0","0","0","0","0","-12","0","6","0","0","0","0","0","0","0","16","0","40","0","10","0","-6","0","-30","0","0","0","-12","0","34","0","-14","0","0","0","8","0","-20","0","-7","0","6","0","0","0","-4","0","-4","0","-12","0","-8","0","0","0","-34","0","6","0","6","0","-24","0","0","0","4","0","0","0","-10","0","-2","0","-20","0","-6","0","-30","0","36","0","0","0","0","0","-4","0","-4","0","-16","0","-48","0","0","0","0","0","-20","0","-18","0","28","0","0","0","23","0","-18","0","0","0","4","0","0","0","12","0","6","0","12","0","28","0","0","0","0","0","-19","0","-10","0","36","0","0","0","20","0","14","0","14","0","-10","0","0","0","36","0","6","0","-32","0","0","0","0","0","-42","0","6","0","-12","0","-6","0","0","0","0","0","-30","0","28","0","4","0","-10","0","2","0","22","0","0","0","12","0","0","0","-24","0","0","0","2","0","-20","0","0","0","8","0","6","0","2","0","4","0","0","0","-8","0","0","0","-36","0","34","0","0","0","-30","0","20","0","2","0","0","0","25","0","-8","0","36","0","-48","0","12","0","0","0","-42","0","-16","0","40","0","-24","0","0","0","-24","0","20","0","0","0","12","0","0","0","14","0","22","0","-22","0","36","0","0","0","-16","0","-8","0","-12","0","-46","0","-5","0","-8","0","0","0","4","0","26","0","0","0","10","0","-36","0","36","0","0","0","0","0","36","0","16","0","2","0","24","0","0","0","0","0","14","0","-8","0","0","0","0","0","-26","0","26","0","0","0","-18","0","40","0","16","0","1","0","6","0","34","0","0","0","-8","0","44","0","24","0","-16","0","0","0","-6","0","0","0","0","0","-2","0","0","0","18","0","-4","0","40","0","0","0","0","0","-60","0","-26","0","20","0","-24","0","0","0","0","0","24","0","32","0","-8","0","0","0","8","0","24","0","0","0","36","0","0","0","-50","0","-36","0","8","0","-28","0","0","0","26","0","46","0","-52","0","-16","0","0","0","4","0","0","0","14","0","48","0","10","0","-38","0","-6","0","-22","0","-42","0","0","0","0","0","12","0","35","0","18","0","0","0","0","0","20","0","12","0","6","0","0","0","18","0","52","0","0","0","36","0","0","0","19","0","16","0","24","0","-2","0","0","0","14","0","10","0","14","0","0","0","0","0","8","0","0","0","-2","0","-24","0","0","0","12","0","0","0","-36","0","0","0","0","0","-28","0","10","0","8","0","12","0","0","0","0","0","-56","0","16","0","-96","0","-30","0","4","0","-48","0","-28","0","10","0","0","0","34","0","-22","0","6","0","12","0","0","0","30","0","84","0","-2","0","-36","0","0","0","16","0","0","0","-31","0","-10","0","0","0","12","0","24","0","6","0","0","0","-30","0","-54","0","-16","0","-14","0","56","0","0","0","0","0","2","0","16","0","-4","0","0","0","-10","0","6","0"],"lmfdb":"agrees","curve":{"cremona":"516c1","lmfdb":"516.c","ainvs":[0,1,0,-13,-28],"rank":0,"torsion":2},"space":"516.2.a","level":516,"weight":2,"T":[[5,1],[7,3],[17,5],[19,7],[23,9]],"status":"proven","derived":{"al":[[2,null],[3,-1],[43,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/516.2.a.c"}