{"label":"592.2.a.e","letter":"e","dim":1,"charpoly":["-19","1"],"traces":["1","0","3","0","-2","0","1","0","6","0","5","0","-2","0","-6","0","0","0","0","0","3","0","-2","0","-1","0","9","0","6","0","4","0","15","0","-2","0","-1","0","-6","0","-9","0","-2","0","-12","0","9","0","-6","0","0","0","1","0","-10","0","0","0","-8","0","-8","0","6","0","4","0","-8","0","-6","0","-9","0","-1","0","-3","0","5","0","-4","0","9","0","15","0","0","0","18","0","4","0","-2","0","12","0","0","0","4","0","30","0","3","0","-18","0","-6","0","12","0","-16","0","-3","0","-18","0","4","0","-12","0","0","0","14","0","-27","0","12","0","-1","0","-6","0","12","0","0","0","-18","0","-6","0","-4","0","27","0","-10","0","-12","0","-18","0","-5","0","-16","0","0","0","-8","0","23","0","3","0","-2","0","18","0","-30","0","12","0","-9","0","0","0","9","0","-1","0","-24","0","-18","0","5","0","-24","0","2","0","0","0","9","0","4","0","-26","0","12","0","3","0","-2","0","-24","0","6","0","18","0","-12","0","0","0","13","0","-27","0","4","0","4","0","-3","0","0","0","17","0","-6","0","16","0","7","0","15","0","6","0","-18","0","-12","0","6","0","14","0","0","0","12","0","0","0","45","0","2","0","-10","0","0","0","0","0","-1","0","36","0","-19","0","-2","0","12","0","-6","0","31","0","-6","0","-5","0","12","0","24","0","12","0","-4","0","0","0","-9","0","-17","0","12","0","-2","0","16","0","45","0","4","0","-2","0","9","0","16","0","17","0","-54","0","0","0","22","0","-12","0","22","0","30","0","36","0","0","0","2","0","-48","0","9","0","2","0","-6","0","16","0","-25","0","-54","0","20","0","-13","0","12","0","10","0","6","0","-18","0","8","0","18","0","0","0","15","0","-19","0","42","0","2","0","-8","0","-54","0","1","0","-19","0","36","0","-12","0","-15","0","-3","0","-20","0","-10","0","-12","0","4","0","0","0","36","0","8","0","-5","0","0","0","18","0","-8","0","-18","0","-5","0","20","0","-18","0","-8","0","-30","0","-12","0","-7","0","-24","0","54","0","0","0","-8","0","-30","0","30","0","9","0","-36","0","0","0","-28","0","-36","0","-1","0","-8","0","-15","0","36","0","-45","0","-48","0","4","0","18","0","0","0","30","0","22","0","-24","0","2","0","-8","0","69","0","-10","0","0","0","6","0","-14","0","2","0","-6","0","-8","0","24","0","54","0","28","0","0","0","-60","0","-9","0","-12","0","36","0","-16","0","-6","0","-27","0","-31","0","-1","0","0","0","36","0","45","0","27","0","-33","0","22","0","-3","0","0","0","-19","0","-48","0","18","0","-24","0","-54","0","-30","0","20","0","15","0","32","0","-8","0","-48","0","0","0","-4","0","6","0","-18","0","4","0","0","0","30","0","36","0","9","0","-24","0","-7","0","12","0","2","0","0","0","-78","0","15","0","5","0","24","0","32","0","0","0","9","0","-5","0","0","0","-6","0","-1","0","-22","0","-48","0","-28","0","32","0","18","0","-18","0","15","0","54","0","17","0","1","0","-18","0","4","0","-19","0","0","0","0","0","28","0","39","0","2","0","12","0","-54","0","-1","0","-14","0","12","0","8","0","-40","0","12","0","-24","0","-24","0","-6","0","15","0","-28","0","0","0","0","0","-12","0","51","0","-40","0","27","0","-9","0","-11","0","4","0","48","0","-18","0","12","0","21","0","-2","0","20","0","30","0","8","0","0","0","18","0","-12","0","0","0","-54","0","3","0","40","0","-24","0","-8","0","20","0","18","0","-39","0","-18","0","42","0","-6","0","-16","0","-27","0","0","0","7","0","36","0","-40","0","9","0","0","0","-21","0","10","0","90","0","12","0","-25","0","6","0","32","0","-50","0","-30","0","-35","0","-16","0","0","0","16","0","26","0","0","0","-9","0","-4","0","-3","0","0","0","-45","0","54","0","-46","0","5","0","-57","0","-18","0","16","0","-6","0","52","0","0","0","24","0","-5","0","4","0","-18","0","2","0","-47","0","93","0","-36","0","0","0","-12","0","-47","0","16","0","-15","0","-22","0","-4","0","36","0","0","0","-24","0","36","0","-44","0","7","0","36","0","18","0","14","0","-12","0","2","0","26","0","0","0","-48","0","20","0","-27","0","24","0","-18","0","-51","0","-20","0","16","0","24","0","12","0","50","0","-6","0","-14","0","-48","0","48","0","-25","0","-1","0","45","0","0","0","36","0","12","0","24","0","0","0","-6","0","-10","0","-52","0","18","0","-26","0","75","0","48","0","12","0","58","0","51","0","18","0","1","0","-108","0","18","0","0","0","0","0","0","0","37","0","66","0","-10","0","18","0","-18","0","-12","0","2","0","66","0","61","0","-8","0","90","0","-6","0","-15","0","72","0","52","0","14","0","0","0","8","0","-4","0","6","0","28","0","20","0","-96","0","-9","0","-6","0","27","0","4","0","18","0","6","0","4","0","-42","0","-9","0"],"lmfdb":"agrees","curve":{"cremona":"592c1","lmfdb":"592.e","ainvs":[0,0,0,-16,-16],"rank":0,"torsion":1},"space":"592.2.a","level":592,"weight":2,"T":[[3,1],[5,3],[7,5],[11,7],[13,9]],"status":"proven","derived":{"al":[[2,null],[37,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/592.2.a.e"}