{"label":"493.2.a.b","letter":"b","dim":1,"charpoly":["46","1"],"traces":["1","-1","0","-1","-2","0","-5","3","-3","2","0","0","7","5","0","-1","1","3","5","2","0","0","4","0","-1","-7","0","5","-1","0","4","-5","0","-1","10","3","-11","-5","0","-6","3","0","-5","0","6","-4","9","0","18","1","0","-7","-3","0","0","-15","0","1","6","0","-1","-4","15","7","-14","0","4","-1","0","-10","5","-9","3","11","0","-5","0","0","-6","2","9","-3","14","0","-2","5","0","0","-8","-6","-35","-4","0","-9","-10","0","2","-18","0","1","8","0","8","21","0","3","17","0","-12","0","0","5","13","0","-8","1","-21","-6","-5","0","-11","1","0","-4","12","-15","-1","3","0","14","-2","0","-25","-4","0","3","12","0","-8","-10","0","-5","0","3","2","-3","0","11","-19","0","-16","15","-3","0","-8","0","16","6","0","10","-20","-9","-12","-3","0","-14","5","0","36","2","-15","5","4","0","5","0","0","8","-6","-6","-2","35","0","12","22","0","0","-9","0","10","11","0","-7","-2","0","-18","18","0","7","-3","0","-8","5","0","-6","-8","-12","-7","0","0","26","3","0","-17","10","0","-20","12","0","0","7","0","6","25","3","-13","12","0","-12","8","0","-3","-6","21","-18","-6","0","5","2","0","0","11","0","1","-36","0","35","12","0","-12","12","-15","0","1","0","-17","9","0","55","14","3","2","11","0","6","25","0","-4","-14","0","20","-1","0","-12","0","0","14","8","-12","30","-15","0","11","-5","0","0","-15","15","1","-2","0","-3","-12","0","-12","-33","0","19","28","0","25","16","0","-5","2","3","-12","0","0","8","10","0","-22","-16","-30","6","-19","0","0","-14","0","20","5","-9","-7","12","0","9","-45","0","4","-14","33","-5","-8","0","13","-36","0","2","0","15","-55","-15","0","-4","5","0","-27","-5","0","0","15","0","-10","8","0","6","-36","18","6","2","0","35","-6","0","-26","-4","-9","-22","15","0","15","0","0","27","-7","0","28","10","0","-11","-24","0","0","7","15","-2","-30","0","4","54","0","-18","12","0","6","-7","0","1","22","0","28","-8","-18","-5","0","0","-10","6","0","-8","-30","12","-28","-35","0","0","-1","0","-32","-26","-27","-9","-1","0","5","-17","0","-10","-24","0","20","20","0","12","20","0","16","0","-54","-7","37","0","16","-6","0","-35","7","-3","0","-13","0","-12","70","0","39","12","0","8","-20","0","-4","1","0","6","12","21","-20","18","0","18","0","0","-5","5","9","-2","18","0","-77","0","0","11","-4","0","-7","-3","0","36","29","0","-1","-35","0","-4","-25","0","-13","-12","0","-12","24","45","-16","0","0","1","34","0","-15","11","0","-9","-16","0","0","-55","0","-42","-28","-3","0","2","0","-11","4","0","-7","-6","-18","25","21","0","-34","12","0","14","0","0","42","-20","0","-5","24","0","40","-12","3","0","-5","0","30","-14","0","8","-42","12","-35","-10","0","15","23","0","-26","-11","-45","15","34","0","-23","0","0","15","-4","-21","4","-1","0","-2","-70","0","0","9","42","12","4","0","20","12","0","11","18","0","10","19","0","-28","21","0","-17","-25","-12","16","22","0","-34","-25","0","-2","63","3","19","12","0","0","-42","0","42","8","0","-10","40","0","-19","22","0","-16","-11","30","-20","-18","0","19","2","0","126","0","-15","-6","6","0","-49","20","0","-5","26","27","0","7","0","12","-39","0","4","-3","-9","45","-23","0","29","-4","0","42","50","-33","-4","-5","0","8","0","0","2","-13","0","-36","-15","0","-10","-6","0","0","-13","15","-24","55","0","5","-21","0","19","-4","0","-5","16","0","3","27","0","-5","27","0","-55","0","0","-15","-40","0","-16","10","18","-24","16","0","0","6","0","36","40","-6","-40","-6","0","2","1","0","4","-105","-27","6","-5","0","22","26","0","-20","0","9","19","-22","0","-15","-42","0","38","-15","-42","0","-85","0","2","-9","0","7","32","0","-32","-28","0","-30","-13","0","60","-11","6","24","42","0","-14","0","0","7","46","-15","-4","6","0","30","15","0","0","-4","0","-18","-32","0","4","-18","0","-12","-65","0","-7","-6","0","-7","22","0","9","5","24","-22","0","0","40","-28","0","24","-1","18","-5","-5","0","0","24","0","-25","10","105","6","0","0","-16","24","0","30","42","12","20","28","0","49","18","0","-10","0","0","1","38","0","1","32","0","-26","-72","27","55","3","0","1","-44","0","5","-5","30","51","10","0","52","-10","0","24","-38","0","-8","-20","0","20","0","0","28","-36","-6","-20","-60","0","42","-16","0","0","-19","54","-12","-7","0","-37","30","0","5","-16","0","-6","45","0","12","-15","0","-7","-4","-3","-3","0","0","39","4","0","14","-12","-24","-70","-40","0","0","-39","0","12","10","0","-12","-24","0","20","35","0","11","4","-24","5","-48","0","90","6","0","-12","0","-63","-35","20","0","18","6","0","12","-6","0","0","-22","0","21","5","0","-15","41","-9","-22","-2","0","-18","-60","0","-15","77","-51","0","14","0","-27","-33","0","4","-57","0","40","7","0","1","-18","0","0","36","36","-29","-60","0","-36","1","0","-35","-20","0","-39","-20","0","25","-14","0","-26","13","0","36"],"lmfdb":"agrees","curve":{"cremona":"493a1","lmfdb":"493.b","ainvs":[1,-1,1,-7741,801682],"rank":0,"torsion":1},"space":"493.2.a","level":493,"weight":2,"T":[[2,1],[3,3],[5,5],[7,7]],"status":"proven","derived":{"al":[[17,-1],[29,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/493.2.a.b"}