{"label":"464.2.a.g","letter":"g","dim":1,"charpoly":["-18","1"],"traces":["1","0","3","0","3","0","-4","0","6","0","1","0","-3","0","9","0","2","0","-4","0","-12","0","6","0","4","0","9","0","-1","0","-9","0","3","0","-12","0","-8","0","-9","0","-8","0","5","0","18","0","7","0","9","0","6","0","-5","0","3","0","-12","0","10","0","10","0","-24","0","-9","0","-8","0","18","0","2","0","0","0","12","0","-4","0","1","0","9","0","-6","0","6","0","-3","0","12","0","12","0","-27","0","-12","0","0","0","6","0","-4","0","-6","0","-36","0","8","0","-5","0","-24","0","-6","0","18","0","-18","0","-8","0","-10","0","-24","0","-3","0","8","0","15","0","-12","0","16","0","27","0","4","0","18","0","21","0","-3","0","-3","0","27","0","9","0","-4","0","12","0","-27","0","4","0","-15","0","-24","0","-7","0","9","0","-2","0","-4","0","-24","0","-2","0","-16","0","30","0","-10","0","17","0","30","0","-24","0","2","0","-36","0","0","0","-8","0","-27","0","26","0","20","0","-24","0","4","0","-24","0","36","0","-4","0","13","0","6","0","15","0","36","0","0","0","-6","0","-14","0","24","0","-30","0","20","0","-12","0","23","0","21","0","3","0","22","0","17","0","0","0","27","0","12","0","-18","0","31","0","6","0","18","0","-27","0","32","0","-6","0","-13","0","-15","0","36","0","14","0","5","0","36","0","4","0","-10","0","-54","0","-1","0","6","0","-36","0","32","0","-13","0","0","0","2","0","30","0","9","0","-18","0","-20","0","-12","0","30","0","-7","0","-18","0","0","0","1","0","-72","0","18","0","-1","0","24","0","-8","0","-12","0","-15","0","-28","0","-3","0","-48","0","-24","0","-14","0","-18","0","-9","0","-8","0","54","0","6","0","35","0","-27","0","22","0","6","0","-24","0","-3","0","-3","0","-30","0","0","0","-20","0","-48","0","20","0","-19","0","-9","0","3","0","-32","0","24","0","16","0","-12","0","30","0","4","0","12","0","-36","0","3","0","13","0","48","0","-5","0","27","0","27","0","-8","0","-26","0","12","0","-40","0","-18","0","54","0","-10","0","2","0","42","0","8","0","-40","0","-9","0","14","0","-28","0","-9","0","-24","0","-22","0","54","0","12","0","36","0","27","0","22","0","-8","0","-12","0","36","0","38","0","18","0","-42","0","10","0","-81","0","13","0","32","0","12","0","5","0","-16","0","-30","0","17","0","24","0","-72","0","0","0","-32","0","-21","0","-17","0","-2","0","18","0","-8","0","-10","0","-6","0","-23","0","-12","0","-12","0","15","0","0","0","-36","0","-18","0","7","0","-6","0","39","0","20","0","-48","0","-18","0","13","0","60","0","24","0","24","0","-30","0","9","0","40","0","51","0","-15","0","8","0","60","0","4","0","-4","0","-72","0","42","0","-15","0","6","0","33","0","-18","0","-36","0","-18","0","0","0","0","0","24","0","-14","0","-24","0","24","0","-5","0","-54","0","-42","0","36","0","78","0","-29","0","-24","0","60","0","-7","0","-28","0","-48","0","-30","0","-47","0","12","0","-21","0","-21","0","-72","0","-36","0","41","0","54","0","-48","0","-29","0","-12","0","-16","0","14","0","39","0","24","0","-27","0","12","0","42","0","16","0","45","0","-22","0","10","0","108","0","4","0","-36","0","0","0","15","0","-38","0","-18","0","48","0","-6","0","-42","0","10","0","25","0","36","0","-6","0","0","0","-90","0","-8","0","12","0","60","0","15","0","8","0","-24","0","54","0","-16","0","69","0","-35","0","32","0","63","0","16","0","29","0","6","0","-54","0","-9","0","66","0","-6","0","24","0","51","0","-4","0","-32","0","-27","0","10","0","0","0","81","0","-8","0","-1","0","36","0","-8","0","27","0","-36","0","-32","0","-44","0","93","0","-12","0","-34","0","18","0","-14","0","20","0","36","0","-30","0","6","0","-81","0","36","0","-36","0","96","0","32","0","2","0","-9","0","12","0","14","0","-39","0","24","0","-30","0","-45","0","-30","0","14","0","72","0","0","0","-72","0","42","0","-36","0","24","0","15","0","-21","0","-20","0","72","0","-43","0","-32","0","12","0","13","0","14","0","-30","0","18","0","-6","0","-81","0","-9","0","1","0","-3","0","-12","0","40","0","18","0","-48","0","-42","0","-72","0","49","0","-9","0","96","0","-54","0","-6","0","-39","0","1","0","24","0","0","0","12","0","-29","0","6","0","-42","0","24","0","90","0","55","0","-32","0","9","0","-28","0","-30","0","-54","0","9","0","-10","0","-60","0","51","0","-44","0","-24","0","-51","0","-6","0","90","0","48","0","18","0","-21","0","-6","0","-32","0","-36","0","42","0","-36","0","0","0","6","0","-22","0","3","0","27","0","-48","0","-108","0","-27","0","0","0","54","0","3","0","0","0","-3","0","-16","0","50","0","48","0","-24","0","-17","0","-24","0","4","0","-72","0","-36","0","25","0","12","0","-30","0","-45","0","78","0","-84","0","30","0","34","0","-9","0","60","0","-8","0","-72","0"],"lmfdb":"agrees","curve":{"cremona":"464f1","lmfdb":"464.g","ainvs":[0,0,0,-4831,129242],"rank":0,"torsion":1},"space":"464.2.a","level":464,"weight":2,"T":[[3,1],[5,2],[7,3],[11,4],[13,5],[17,6],[19,7],[23,8]],"status":"proven","derived":{"al":[[2,null],[29,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/464.2.a.g"}