{"label":"57.2.a.b","letter":"b","dim":1,"charpoly":["-1","1"],"traces":["1","-2","1","2","1","-2","3","0","1","-2","-3","2","-6","-6","1","-4","3","-2","-1","2","3","6","4","0","-4","12","1","6","-10","-2","2","8","-3","-6","3","2","8","2","-6","0","-8","-6","-1","-6","1","-8","3","-4","2","8","3","-12","-6","-2","-3","0","-1","20","0","2","7","-4","3","-8","-6","6","8","6","4","-6","12","0","-11","-16","-4","-2","-9","12","0","-4","1","16","4","6","3","2","-10","0","10","-2","-18","8","2","-6","-1","8","-2","-4","-3","-8","2","-6","14","0","3","12","-2","2","20","6","8","-12","-6","2","4","-20","-6","0","9","0","-2","-14","-8","4","-9","-6","-2","0","-1","12","-13","-6","-3","-16","1","0","3","-8","-5","6","3","-24","18","-4","-10","22","2","16","15","8","-8","0","3","18","2","-12","-2","0","-6","8","12","-2","-16","-16","-3","-8","18","0","23","-6","-1","-2","14","20","-12","12","0","-20","-10","2","2","36","7","0","8","-4","-9","6","3","2","-3","-8","4","4","-6","4","-2","6","-5","0","8","-4","-30","6","-8","-28","4","24","3","-6","-28","-12","12","4","-1","0","6","-40","-11","-6","-18","-16","4","24","-4","12","18","-2","-15","-8","-9","0","-11","12","3","0","0","-18","-15","-4","12","4","1","14","2","16","6","0","4","18","27","6","-12","4","3","16","8","2","24","-12","-10","26","-21","0","-6","6","10","16","-30","-2","12","-12","-18","-6","12","8","13","10","2","0","2","-6","19","24","-1","-36","-24","8","-8","20","-2","-22","4","-4","0","0","-3","-30","-24","-8","-3","16","2","4","7","-6","-12","-18","14","-4","7","0","14","4","3","0","-12","12","30","-8","-2","-24","-3","2","24","32","20","0","9","6","12","8","8","-36","8","-12","-22","-46","-6","6","-6","2","-15","0","4","-28","3","-20","25","24","-6","-24","14","0","12","20","9","20","25","0","1","-4","-2","-36","-11","-14","8","-16","-8","-16","-18","4","-16","18","-9","0","60","-6","-30","-2","-2","6","14","0","-9","-8","-1","-4","-15","12","12","0","-13","4","0","-6","-7","10","-3","16","-28","-16","-12","4","1","60","-24","0","10","16","3","28","0","-8","4","-48","-5","-6","20","6","2","56","3","0","-12","-24","21","-4","18","2","-18","-4","-26","-12","-10","40","-4","22","10","0","2","36","39","16","10","-8","15","-24","-20","8","24","-12","-8","-36","-18","0","3","30","3","8","-33","18","-31","40","2","22","-17","-12","24","-6","-2","0","3","0","4","18","-6","30","-40","8","-48","-24","12","-4","-2","-2","8","0","-16","-4","-8","-16","-30","-12","-3","-8","36","-8","-35","-18","18","-54","24","0","2","24","23","-4","-10","-6","-33","-32","-1","-16","14","-2","-9","-48","14","0","-28","20","14","-26","-12","42","6","12","-7","12","0","-6","48","-20","-2","0","-10","60","-6","2","-13","-24","2","24","20","36","-2","6","7","-24","10","0","0","-26","8","-10","3","-4","6","-12","-9","-4","44","6","-6","-38","3","0","30","2","32","36","-3","48","-16","-8","3","16","4","-20","12","4","18","0","-6","-8","-37","4","-2","0","-2","-32","-6","6","9","30","-5","48","0","0","-8","6","8","-16","-2","-4","18","-8","-30","-14","-18","6","9","24","-8","0","23","-28","20","4","4","-14","30","24","11","-28","3","-4","24","-6","7","0","-28","24","-2","-12","-12","-60","12","0","2","4","-1","24","-1","6","-27","0","0","-48","6","-32","-1","-40","-13","32","-11","-18","10","-6","12","-24","-18","0","-3","-16","-40","36","4","-16","-21","24","-16","44","-4","46","-22","12","-6","0","18","12","-6","-2","3","30","-15","4","36","-8","17","28","-9","-6","-5","0","-24","-50","-11","-24","42","12","-8","24","3","-28","6","0","-10","-24","0","0","8","-18","18","-20","-15","-50","-35","-4","42","-2","12","4","40","4","-7","0","1","22","-3","14","34","-16","2","32","-24","16","-45","16","6","36","24","0","15","32","4","-18","-6","18","-8","-12","27","-120","-8","6","23","60","-12","0","-13","4","60","-6","3","-28","0","16","-45","18","8","8","-36","2","-8","0","24","30","8","-12","-36","-24","-10","-8","-2","26","8","-4","-21","0","-18","0","-42","14","-6","-10","-12","6","9","-32","10","56","33","16","12","24","-30","0","5","-2","2","-60","12","48","-16","-12","1","-20","-18","-16","-33","-6","19","0","12","0","-52","8","20","-8","13","48","6","10","18","6","2","-40","30","0","71","-4","2","-56","23","-6","-6","24","19","24","32","24","34","-42","-1","0","48","-36","35","-2","-24","36","44","8","14","52","-8","12","0","20","-48","0","-2","8","-27","-22","-22","-20","4","12","7","-4","-21","-36","0","-78","-52","0","-6","-20","-3","8","-3","-30","-10","0","-24","40","-20","-8","-18","-48","-3","0","2","16","-2","36","2","36","2","4","-12","-6","7","-30","-39","-6","-40","0","-12","66","-72","-18","-32","62","14","-80","-50","-4","-2","-22","7","34","-9","0","53","-48","14","6","2","4","-32","0","3","-6","28","0","66","-8","-12","0","-16","12","-3","-30","30","80","9","-8","-27","96","-2","24","4","-24","-32","0","-3","4","12","2","-15","-16","24","-28","-42","32","-30","4","20","16","4","0","-2","60","9","12","-4","6","-8","16","12","-72","-5","8","-7","70","8","0"],"lmfdb":"agrees","curve":{"cremona":"57c1","lmfdb":"57.b","ainvs":[0,1,1,20,-32],"rank":0,"torsion":5},"space":"57.2.a","level":57,"weight":2,"T":[[2,1],[5,3]],"status":"proven","derived":{"al":[[3,-1],[19,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/57.2.a.b"}