{"label":"560.2.a.f","letter":"f","dim":1,"charpoly":["23","1"],"traces":["1","0","3","0","1","0","-1","0","6","0","5","0","-5","0","3","0","-7","0","2","0","-3","0","2","0","1","0","9","0","7","0","-4","0","15","0","-1","0","-6","0","-15","0","-12","0","2","0","6","0","-1","0","1","0","-21","0","0","0","5","0","6","0","4","0","4","0","-6","0","-5","0","-8","0","6","0","0","0","6","0","3","0","-5","0","3","0","9","0","4","0","-7","0","21","0","0","0","5","0","-12","0","2","0","13","0","30","0","-18","0","-13","0","-3","0","-18","0","5","0","-18","0","6","0","2","0","-30","0","7","0","14","0","-36","0","1","0","12","0","6","0","6","0","-2","0","9","0","-8","0","-18","0","-3","0","-25","0","7","0","3","0","-22","0","19","0","-42","0","-4","0","10","0","0","0","-2","0","14","0","15","0","3","0","12","0","12","0","-7","0","-1","0","12","0","4","0","8","0","12","0","-6","0","-35","0","-9","0","13","0","-8","0","-15","0","-8","0","4","0","-24","0","-7","0","-12","0","12","0","10","0","-5","0","0","0","2","0","4","0","18","0","35","0","19","0","6","0","-9","0","4","0","-15","0","-24","0","-1","0","9","0","-9","0","-22","0","0","0","1","0","-10","0","12","0","-6","0","10","0","-21","0","18","0","6","0","42","0","30","0","0","0","0","0","26","0","-12","0","15","0","5","0","2","0","-24","0","19","0","25","0","6","0","12","0","32","0","39","0","13","0","4","0","45","0","-10","0","-2","0","-54","0","4","0","17","0","-39","0","34","0","-1","0","-6","0","6","0","35","0","-54","0","-14","0","-5","0","15","0","1","0","12","0","-36","0","-8","0","34","0","18","0","-20","0","-1","0","6","0","-26","0","18","0","-45","0","5","0","0","0","21","0","0","0","-15","0","42","0","6","0","7","0","-72","0","0","0","16","0","3","0","-35","0","20","0","36","0","-12","0","-5","0","12","0","-15","0","-14","0","18","0","3","0","-23","0","-6","0","-15","0","20","0","9","0","-30","0","-14","0","-24","0","-4","0","4","0","-54","0","24","0","-3","0","-6","0","-7","0","-4","0","-75","0","25","0","14","0","21","0","4","0","26","0","6","0","-6","0","0","0","-66","0","-9","0","-60","0","57","0","5","0","-8","0","-63","0","0","0","36","0","-12","0","-11","0","8","0","30","0","10","0","2","0","0","0","-34","0","30","0","-6","0","13","0","-22","0","42","0","-9","0","-49","0","30","0","0","0","1","0","9","0","-3","0","-18","0","36","0","-14","0","-6","0","18","0","-13","0","-5","0","-21","0","22","0","44","0","-3","0","28","0","-19","0","24","0","60","0","-18","0","12","0","5","0","7","0","24","0","5","0","28","0","24","0","14","0","-3","0","-18","0","-16","0","-10","0","-105","0","-4","0","6","0","-9","0","-22","0","-4","0","39","0","2","0","-37","0","-24","0","-4","0","0","0","-30","0","0","0","-8","0","-24","0","27","0","7","0","12","0","-15","0","10","0","-48","0","14","0","-3","0","-21","0","5","0","-30","0","-36","0","6","0","-26","0","18","0","0","0","1","0","30","0","42","0","-7","0","-15","0","12","0","-5","0","0","0","18","0","-21","0","6","0","-24","0","20","0","12","0","38","0","6","0","36","0","-15","0","0","0","105","0","-2","0","14","0","57","0","20","0","0","0","9","0","-29","0","-13","0","-27","0","-12","0","-8","0","12","0","0","0","-44","0","-30","0","-18","0","84","0","-72","0","35","0","-12","0","-3","0","18","0","-25","0","18","0","-8","0","-25","0","-27","0","14","0","13","0","-66","0","7","0","40","0","-27","0","-14","0","-33","0","3","0","-40","0","-51","0","-30","0","-24","0","-22","0","24","0","18","0","3","0","-18","0","19","0","-40","0","30","0","18","0","-5","0","-42","0","-20","0","34","0","54","0","-21","0","-4","0","18","0","-24","0","0","0","63","0","10","0","-17","0","90","0","-6","0","-20","0","0","0","-39","0","7","0","0","0","30","0","-2","0","78","0","-39","0","10","0","-36","0","14","0","4","0","30","0","1","0","-28","0","15","0","-6","0","-20","0","6","0","-7","0","3","0","-36","0","34","0","20","0","57","0","12","0","-14","0","75","0","-12","0","-22","0","12","0","6","0","4","0","36","0","-48","0","-7","0","96","0","15","0","40","0","78","0","-1","0","22","0","39","0","0","0","40","0","12","0","-16","0","-12","0","45","0","-2","0","4","0","-30","0","-28","0","0","0","-6","0","8","0","18","0","-108","0","8","0","20","0","12","0","-6","0","55","0","51","0","0","0","-6","0","-78","0","-32","0","2","0","102","0","-35","0","13","0","-3","0","28","0","-24","0","-9","0","-40","0","-30","0","18","0","0","0","13","0","105","0","8","0","-15","0","-108","0","-8","0","-6","0","-42","0","16","0","18","0","-15","0","26","0","0","0","30","0","-3","0","-8","0","3","0","4","0","-32","0","36","0","4","0","-3","0","-54","0"],"lmfdb":"agrees","curve":{"cremona":"560b1","lmfdb":"560.f","ainvs":[0,0,0,-412,-3316],"rank":0,"torsion":1},"space":"560.2.a","level":560,"weight":2,"T":[[3,1],[11,2],[13,3],[19,4],[23,5],[29,6],[17,7],[31,8]],"status":"proven","derived":{"al":[[2,null],[5,-1],[7,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/560.2.a.f"}