{"label":"858.2.a.g","letter":"g","dim":1,"charpoly":["152","1"],"traces":["1","1","-1","1","-1","-1","-3","1","1","-1","1","-1","-1","-3","1","1","-4","1","-2","-1","3","1","-1","-1","-4","-1","-1","-3","-9","1","-4","1","-1","-4","3","1","-6","-2","1","-1","1","3","11","1","-1","-1","0","-1","2","-4","4","-1","-10","-1","-1","-3","2","-9","-3","1","5","-4","-3","1","1","-1","3","-4","1","3","10","1","9","-6","4","-2","-3","1","10","-1","1","1","-6","3","4","11","9","1","-8","-1","3","-1","4","0","2","-1","2","2","1","-4","-10","4","-11","-1","-3","-10","7","-1","16","-1","6","-3","5","2","1","-9","-1","-3","12","1","1","5","-1","-4","9","-3","-14","1","-11","1","-3","-1","6","3","1","-4","-18","1","0","3","0","10","-1","1","9","9","-2","-6","4","4","24","-2","-4","-3","4","1","-22","10","10","-1","3","1","9","1","1","-6","-3","3","1","4","-2","11","-19","9","12","1","3","-8","12","-1","14","3","-5","-1","6","4","-4","0","3","2","-15","-1","-6","2","-1","2","12","1","3","-4","-3","-10","27","4","-1","-11","-1","-1","-2","-3","20","-10","-10","7","-11","-1","12","16","-9","-1","4","6","-20","-3","-4","5","8","2","25","1","3","-9","14","-1","0","-3","-10","12","-5","1","2","1","-1","5","-2","-1","2","-4","6","9","-6","-3","-1","-14","-4","1","-25","-11","18","1","-9","-3","-24","-1","10","6","8","3","-4","1","-16","-4","-3","-18","-4","1","5","0","-4","3","-29","0","-9","10","-2","-1","-3","1","-1","9","-2","9","-18","-2","3","-6","-1","4","1","4","-33","24","10","-2","-5","-4","-10","-3","11","4","-8","1","19","-22","3","10","-3","10","-9","-1","-7","3","8","1","4","9","-16","1","0","1","19","-6","-6","-3","-3","3","2","1","-5","4","-4","-2","15","11","-1","-19","-12","9","-20","12","1","1","18","3","-10","-8","-12","12","13","-1","-15","14","-1","3","-9","-5","-32","-1","1","6","30","4","-11","-4","-9","0","9","3","24","2","14","-15","14","-1","3","-6","11","2","-18","-1","4","2","3","12","-10","1","-19","3","-6","-4","-24","-3","4","-10","-1","27","-6","4","7","-1","18","-11","9","-1","6","-1","0","-2","0","-3","5","20","0","-10","16","-10","-15","7","1","-11","16","-1","5","12","-9","16","2","-9","-8","-1","2","4","0","6","8","-20","-4","-3","-36","-4","1","5","-24","8","-3","2","-37","25","4","1","24","3","-34","-9","-4","14","0","-1","-9","0","22","-3","11","-10","8","12","-10","-5","-31","1","6","2","-3","1","-2","-1","-2","5","-9","-2","29","-1","36","2","-1","-4","-30","6","17","9","3","-6","36","-3","10","-1","-1","-14","34","-4","-27","1","2","-25","11","-11","0","18","19","1","-37","-9","4","-3","-12","-24","16","-1","-22","10","-3","6","-1","8","-7","3","-12","-4","2","1","-18","-16","-14","-4","-16","-3","-5","-18","5","-4","18","1","-30","5","-6","0","-14","-4","-11","3","4","-29","32","0","-5","-9","-3","10","30","-2","-29","-1","15","-3","4","1","4","-1","6","9","18","-2","-10","9","1","-18","-37","-2","8","3","-12","-6","26","-1","-12","4","-3","1","-13","4","-24","-33","3","24","-1","10","10","-2","-27","-5","0","-4","24","-10","1","-3","-6","11","11","4","1","-8","24","1","11","19","2","-22","24","3","30","10","-20","-3","14","10","-2","-9","10","-1","35","-7","-36","3","11","8","-24","1","-3","4","-12","9","6","-16","3","1","9","0","-40","1","-14","19","-4","-6","-6","-6","9","-3","20","-3","5","3","-16","2","4","1","-22","-5","-6","4","-8","-4","29","-2","18","15","-25","11","10","-1","0","-19","-3","-12","0","9","-4","-20","-14","12","35","1","12","1","0","18","30","3","-39","-10","10","-8","4","-12","1","12","5","13","-15","-1","33","-15","-2","14","36","-1","-4","3","1","-9","-44","-5","-2","-32","2","-1","3","1","-24","6","-2","30","29","4","-4","-11","-6","-4","-21","-9","-53","0","6","9","-24","3","-2","24","1","2","35","14","-48","-15","4","14","3","-1","49","3","25","-6","-2","11","16","2","-18","-18","-2","-1","10","4","9","2","22","3","44","12","24","-10","-15","1","-5","-19","-10","3","28","-6","0","-4","-8","-24","9","-3","-3","4","4","-10","-50","-1","56","27","16","-6","-9","4","-22","7","3","-1","34","18","7","-11","4","9","28","-1","-6","6","-5","-1","-8","0","3","-2","4","0","14","-3","52","5","29","20","-1","0","-3","-10","9","16","6","-10","16","-15","2","7","-12","1","32","-11","3","16","32","-1","19","5","1","12","10","-9","-3","16","2","2","-27","-9","36","-8","18","-1","9","2","26","4","-3","0","-32","6","42","8","1","-20","0","-4","-12","-3","-1","-36","36","-4","40","1","33","5","-14","-24","-20","8","-10","-3","-16","2","-6","-37","5","25","9","4","20","1","10","24","-10","3","24","-34","-11","-9","-12","-4","-4","14","8","0","4","-1","20","-9","-19","0","24","22","-1","-3","-3","11","4","-10","-9","8","3","12","44","-10","15","-5","9","-31","54","1","-15","6","7","2","6","-3","-13","1","-8","-2","34","-1","0","-2","-4","5","-48","-9","-8","-2","16","29","38","-1","-12","36","0","2","-11","-1","-47","-4","-19","-30","-3","6","-37","17","6","9"],"lmfdb":"agrees","curve":{"cremona":"858g1","lmfdb":"858.g","ainvs":[1,1,1,-46,107],"rank":1,"torsion":1},"space":"858.2.a","level":858,"weight":2,"T":[[5,1],[7,2],[23,3],[29,4],[31,5],[17,6],[19,7],[37,8]],"status":"proven","derived":{"al":[[2,-1],[3,1],[11,-1],[13,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/858.2.a.g"}