{"label":"492.2.a.a","letter":"a","dim":1,"charpoly":["59","1"],"traces":["1","0","-1","0","0","0","-2","0","1","0","-1","0","-2","0","0","0","-1","0","-4","0","2","0","-6","0","-5","0","-1","0","5","0","-3","0","1","0","0","0","-3","0","2","0","1","0","-7","0","0","0","-3","0","-3","0","1","0","10","0","0","0","4","0","0","0","1","0","-2","0","0","0","2","0","6","0","3","0","-11","0","5","0","2","0","6","0","1","0","4","0","0","0","-5","0","6","0","4","0","3","0","0","0","8","0","-1","0","11","0","-3","0","0","0","6","0","14","0","3","0","8","0","0","0","-2","0","2","0","-10","0","-1","0","0","0","0","0","7","0","-14","0","8","0","0","0","-5","0","0","0","3","0","2","0","0","0","3","0","-6","0","4","0","-1","0","0","0","-2","0","-10","0","12","0","-11","0","0","0","-24","0","-9","0","-4","0","-12","0","10","0","0","0","17","0","-12","0","-1","0","0","0","1","0","2","0","8","0","-6","0","0","0","8","0","8","0","-2","0","-10","0","0","0","-6","0","4","0","16","0","-3","0","0","0","6","0","11","0","2","0","-8","0","-5","0","-3","0","0","0","-2","0","-22","0","0","0","-6","0","-4","0","-25","0","-1","0","0","0","8","0","-4","0","-6","0","6","0","0","0","-9","0","6","0","5","0","-25","0","0","0","-6","0","0","0","7","0","-4","0","5","0","19","0","-3","0","-9","0","7","0","0","0","-2","0","-16","0","-8","0","-11","0","0","0","1","0","12","0","14","0","-11","0","0","0","11","0","3","0","-24","0","-18","0","0","0","3","0","-5","0","-6","0","4","0","10","0","-14","0","6","0","-20","0","-3","0","0","0","17","0","-8","0","3","0","20","0","0","0","7","0","23","0","2","0","-34","0","0","0","-2","0","30","0","-3","0","10","0","0","0","37","0","1","0","-20","0","-21","0","0","0","-10","0","20","0","0","0","-9","0","0","0","-7","0","20","0","6","0","14","0","0","0","6","0","-8","0","-24","0","6","0","0","0","3","0","-5","0","5","0","0","0","0","0","0","0","-2","0","-28","0","-3","0","5","0","-2","0","-2","0","30","0","-13","0","0","0","24","0","26","0","-3","0","-4","0","0","0","6","0","40","0","-1","0","-4","0","0","0","-4","0","1","0","22","0","26","0","0","0","-18","0","-4","0","2","0","7","0","20","0","10","0","-25","0","6","0","-12","0","0","0","-3","0","11","0","36","0","-5","0","0","0","-6","0","-28","0","24","0","33","0","0","0","9","0","1","0","22","0","4","0","0","0","3","0","12","0","3","0","4","0","-10","0","3","0","13","0","0","0","-2","0","0","0","-17","0","3","0","-18","0","12","0","0","0","24","0","1","0","-20","0","-12","0","0","0","-21","0","14","0","-1","0","-39","0","0","0","-2","0","-14","0","16","0","-8","0","30","0","-28","0","6","0","-8","0","-10","0","0","0","37","0","12","0","-8","0","17","0","0","0","-8","0","-10","0","-18","0","2","0","0","0","0","0","10","0","6","0","-10","0","0","0","-48","0","-39","0","6","0","-12","0","25","0","-4","0","3","0","-7","0","-16","0","0","0","6","0","3","0","-45","0","-44","0","0","0","2","0","0","0","-6","0","47","0","0","0","-11","0","-12","0","-30","0","-2","0","0","0","-30","0","8","0","-1","0","6","0","5","0","8","0","-16","0","3","0","44","0","0","0","0","0","-20","0","-30","0","2","0","0","0","-1","0","22","0","30","0","12","0","0","0","-22","0","-14","0","6","0","18","0","0","0","4","0","27","0","6","0","25","0","-25","0","-48","0","1","0","7","0","-49","0","0","0","-2","0","-25","0","-8","0","-26","0","0","0","4","0","-12","0","22","0","6","0","0","0","12","0","-6","0","-20","0","-28","0","0","0","0","0","35","0","9","0","-23","0","15","0","-6","0","-4","0","-3","0","-5","0","0","0","-31","0","25","0","-16","0","-2","0","0","0","-18","0","3","0","6","0","11","0","0","0","0","0","42","0","-37","0","-7","0","0","0","28","0","4","0","2","0","-34","0","-5","0","11","0","41","0","-19","0","3","0","0","0","3","0","48","0","-4","0","9","0","0","0","20","0","-7","0","18","0","-22","0","0","0","8","0","-19","0","2","0","-24","0","0","0","16","0","-6","0","-4","0","8","0","0","0","7","0","11","0","28","0","-28","0","0","0","-57","0","0","0","-1","0","12","0","0","0","-12","0","-15","0","-10","0","-14","0","0","0","-4","0","11","0","6","0","-4","0","0","0","28","0","-38","0","-11","0","-6","0","15","0","-3","0","27","0","12","0","24","0","0","0","8","0","18","0","-18","0","-6","0","0","0","10","0","22","0","-3","0","10","0","0","0","5","0","10","0","-22","0","6","0","0","0","14","0","-4","0","-35","0","0","0","-10","0","27","0","-6","0","14","0","28","0","0","0","-6","0","42","0","40","0","20","0","0","0","2","0","3","0"],"lmfdb":"agrees","curve":{"cremona":"492a1","lmfdb":"492.a","ainvs":[0,-1,0,-13,25],"rank":1,"torsion":1},"space":"492.2.a","level":492,"weight":2,"T":[[5,1],[7,3],[13,5],[17,7],[19,9]],"status":"proven","derived":{"al":[[2,null],[3,1],[41,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/492.2.a.a"}