{"label":"368.2.a.f","letter":"f","dim":1,"charpoly":["196","1"],"traces":["1","0","1","0","-2","0","4","0","-2","0","2","0","7","0","-2","0","-4","0","6","0","4","0","1","0","-1","0","-5","0","5","0","-3","0","2","0","-8","0","2","0","7","0","-9","0","-8","0","4","0","1","0","9","0","-4","0","-6","0","-4","0","6","0","8","0","-10","0","-8","0","-14","0","-2","0","1","0","13","0","-3","0","-1","0","8","0","-6","0","1","0","0","0","8","0","5","0","-4","0","28","0","-3","0","-12","0","-8","0","-4","0","-14","0","-16","0","-8","0","-6","0","0","0","2","0","-12","0","-2","0","-14","0","-16","0","-7","0","-9","0","12","0","7","0","-8","0","-3","0","24","0","10","0","20","0","19","0","1","0","14","0","-10","0","9","0","6","0","-11","0","8","0","6","0","0","0","-6","0","4","0","-1","0","-4","0","24","0","36","0","-12","0","14","0","-4","0","8","0","-5","0","18","0","-10","0","-4","0","-8","0","-20","0","-6","0","1","0","-14","0","-3","0","14","0","-2","0","20","0","18","0","-2","0","12","0","-20","0","13","0","16","0","-12","0","-3","0","-28","0","16","0","2","0","-8","0","-20","0","8","0","3","0","-2","0","-6","0","-19","0","-10","0","16","0","-18","0","42","0","0","0","0","0","2","0","8","0","15","0","8","0","-10","0","-26","0","12","0","-4","0","-15","0","8","0","28","0","-2","0","17","0","6","0","-12","0","22","0","-12","0","-36","0","-1","0","-8","0","16","0","-16","0","-10","0","7","0","-32","0","-14","0","20","0","16","0","-16","0","-3","0","-16","0","16","0","-30","0","10","0","-6","0","-24","0","-7","0","0","0","4","0","-1","0","-4","0","4","0","-28","0","-12","0","-6","0","8","0","-2","0","4","0","25","0","-35","0","33","0","-26","0","-16","0","6","0","17","0","-7","0","6","0","0","0","18","0","-24","0","-2","0","12","0","35","0","16","0","7","0","-36","0","-16","0","16","0","-8","0","-4","0","-3","0","12","0","-1","0","24","0","-30","0","-21","0","-2","0","4","0","-19","0","20","0","32","0","0","0","19","0","-8","0","4","0","-2","0","4","0","-40","0","14","0","24","0","10","0","-10","0","6","0","-13","0","-18","0","25","0","8","0","6","0","-2","0","-18","0","-11","0","-56","0","-32","0","20","0","1","0","8","0","6","0","-2","0","-8","0","0","0","-16","0","-6","0","12","0","24","0","14","0","4","0","16","0","-1","0","-1","0","-29","0","-20","0","8","0","52","0","25","0","24","0","26","0","28","0","36","0","-15","0","-12","0","-30","0","32","0","2","0","14","0","-12","0","-24","0","-4","0","12","0","1","0","-16","0","-63","0","12","0","-5","0","18","0","-3","0","18","0","0","0","39","0","20","0","30","0","-24","0","-4","0","12","0","-56","0","-8","0","36","0","24","0","4","0","34","0","-28","0","-6","0","-1","0","-39","0","1","0","0","0","-12","0","28","0","17","0","-18","0","-3","0","14","0","32","0","14","0","-8","0","-19","0","4","0","14","0","4","0","20","0","7","0","-20","0","18","0","18","0","-40","0","-5","0","-16","0","-19","0","12","0","-8","0","44","0","-20","0","-14","0","63","0","-26","0","12","0","26","0","16","0","41","0","16","0","-12","0","15","0","6","0","6","0","-8","0","22","0","-28","0","-48","0","5","0","16","0","-20","0","19","0","5","0","34","0","-32","0","-8","0","-37","0","-40","0","-20","0","-42","0","4","0","-16","0","-38","0","36","0","3","0","12","0","12","0","-2","0","-56","0","16","0","12","0","-3","0","-28","0","-19","0","40","0","-64","0","-10","0","-5","0","-6","0","13","0","32","0","4","0","-18","0","-4","0","-29","0","42","0","24","0","-12","0","0","0","-24","0","-24","0","0","0","22","0","6","0","2","0","5","0","0","0","-16","0","56","0","14","0","15","0","12","0","3","0","8","0","-54","0","26","0","-25","0","0","0","12","0","-26","0","-48","0","-70","0","12","0","-2","0","-4","0","8","0","-6","0","-8","0","-15","0","-14","0","-7","0","8","0","2","0","-48","0","-56","0","18","0","5","0","-2","0","-48","0","2","0","17","0","-36","0","-48","0","15","0","48","0","-4","0","-12","0","-72","0","-28","0","22","0","2","0","38","0","24","0","43","0","25","0","-36","0","39","0","-28","0","-1","0","-12","0","-14","0","16","0","48","0","22","0","16","0","12","0","36","0","-16","0","-39","0","28","0","2","0","6","0","10","0","7","0","-15","0","24","0","-32","0","-36","0","-14","0","28","0","18","0","0","0","20","0","-12","0","8","0","16","0","91","0","-2","0","32","0","-41","0","54","0","-3","0","16","0","-14","0","-16","0","0","0","-9","0","40","0","49","0","-21","0","-30","0","-34","0","12","0","10","0","80","0","-22","0","12","0","-2","0","-37","0","-24","0","-6","0","76","0","-7","0","-54","0","-8","0","0","0","-10","0","6","0","4","0","-8","0","0","0","-1","0","-28","0","-10","0","-10","0"],"lmfdb":"agrees","curve":{"cremona":"368c1","lmfdb":"368.f","ainvs":[0,1,0,-4,-5],"rank":0,"torsion":1},"space":"368.2.a","level":368,"weight":2,"T":[[3,1],[5,2],[11,3],[13,4],[17,5],[7,6],[19,7],[29,8],[31,9],[37,10],[41,11],[43,12],[47,13],[53,14],[59,15],[61,16]],"status":"proven","derived":{"al":[[2,null],[23,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/368.2.a.f"}