{"label":"715.2.a.f","letter":"f","dim":6,"charpoly":["-13436","4328","1801","-537","-57","11","1"],"traces":["6","-5","-2","7","-6","3","-8","-15","4","5","6","4","6","0","2","21","-16","-17","-4","-7","-16","-5","-2","-6","6","-5","-14","-19","-2","-3","4","-40","-2","6","8","8","-14","-11","-2","15","-18","35","-12","7","-4","36","-24","-23","12","-5","14","7","-10","-15","-6","29","2","8","-8","-4","-16","-8","-8","49","-6","3","6","-2","-40","0","10","-8","-32","-18","-2","-20","-8","3","16","-21","22","20","-22","-73","16","-2","-32","-15","-26","17","-8","-25","-38","26","4","68","-4","6","4","7","-20","-24","16","-15","16","21","6","57","-2","5","22","12","-32","-44","2","42","4","78","12","6","6","34","4","12","-6","67","-44","-43","16","5","10","4","8","10","14","52","-38","61","-26","19","-14","-60","6","63","2","79","84","30","-42","3","20","56","-42","0","-4","4","6","-42","-16","40","-22","42","16","-59","2","12","-32","105","6","-6","48","26","-10","90","-8","21","16","22","6","-8","8","0","-2","19","14","40","-16","-6","26","11","42","-97","-36","-58","2","91","-20","-17","-2","-15","38","36","4","4","18","-44","46","21","-4","-35","20","-70","-26","-34","12","-57","-2","25","8","-7","-16","-8","42","6","4","5","-16","107","-4","-36","-16","-62","18","-17","24","-118","-4","0","28","23","18","-5","-44","-114","-12","35","-4","26","28","5","-22","-45","-2","32","-14","65","12","24","48","-7","-30","26","-40","-6","10","111","18","10","-68","15","-48","-100","-16","86","6","-31","30","0","30","-29","-6","14","-18","68","-2","-5","94","-66","16","-8","-34","-146","-86","-155","8","-92","-14","-20","-2","4","42","30","24","-33","16","66","10","-19","-40","8","22","-6","-8","-26","8","-12","-90","24","-2","-49","84","-155","16","-142","6","10","46","107","2","-3","-6","-33","4","-13","-6","-105","-42","-5","76","2","4","4","-142","-86","40","-10","52","-170","-10","0","-14","-40","-42","-20","-10","0","10","2","-8","8","-26","-25","-2","-19","32","-32","38","-52","-116","18","56","-6","-32","6","2","18","-2","0","-2","20","-70","13","36","124","8","58","-40","-6","-24","-3","-54","-111","120","65","-16","8","-2","91","-16","21","-68","-20","4","-38","-22","-190","-14","2","56","-20","-10","73","-26","-47","22","-40","78","-11","62","73","38","98","40","56","-16","-20","44","94","-2","2","20","39","38","-76","32","-66","-66","-32","-56","15","-18","6","4","-88","26","-82","44","64","-30","-17","-18","70","-10","15","8","-163","-32","122","130","25","-94","35","-24","52","38","-20","56","8","-24","-26","-48","144","-12","-76","-4","2","40","-161","-4","-68","-14","38","90","7","4","103","18","174","98","-6","-42","-133","30","-11","-4","-22","-14","-127","42","-7","-66","66","-6","41","20","36","-2","-50","-94","24","28","-55","-38","-70","-16","-146","-24","108","76","15","28","10","-24","70","-16","74","48","-23","152","-21","-42","-83","-18","56","-6","-28","34","48","12","-57","86","-93","64","90","2","35","14","-110","28","-5","-114","71","-16","-110","-22","-60","-58","0","-12","-12","14","69","16","-22","32","-48","-14","-146","84","44","60","7","-26","-87","-2","-7","-56","47","72","-42","-46","2","-10","204","-4","6","42","243","-2","-78","72","184","-110","-15","-12","35","-10","36","98","-6","24","0","-100","-48","-6","80","40","116","52","-34","-24","28","-72","-20","-4","29","-50","99","94","-12","-162","-117","82","-23","6","-30","2","-71","-44","-67","46","52","-108","98","44","-23","12","8","212","43","64","-80","16","140","-16","-10","-4","218","-8","-5","20","-50","90","-204","-10","-124","6","-50","6","-4","-76","-48","14","163","-8","22","164","44","-52","-10","-16","120","-2","10","-14","7","-38","-108","98","-52","-18","-8","50","-1","38","113","120","134","-10","-61","14","-18","-8","-116","26","306","98","-44","16","-19","-90","-15","6","49","14","12","110","74","46","60","112","-42","86","-44","-6","92","66","-28","16","-63","42","61","46","166","-2","3","108","29","28","-79","-26","104","-112","-71","-84","-62","6","185","-24","-30","2","9","-16","50","42","-30","34","-2","-34","-3","8","-40","60","8","-20","21","-10","20","-40","-56","46","140","-138","12","42","-134","-8","-228","-2","0","-52","-95","-48","38","4","98","-10","-147","-2","-4","10","44","68","-86","-6","-190","-36","14","16","42","-48","-8","-16","12","16","-140","-114","99","28","-40","-116","116","-32","-32","22","-8","84","-16","-2","-42","-28","196","-28","-18","-16","122","-50","-72","-8","59","88","60","-70","-99","-2","-102","-108","-247","-64","-12","-118","49","52","-170","32","-20","-12","-106","-20","-105","86","152","-104","-210","-6","0","-8","1","112","6","-102","98","-62","50","-48","-232","44","3","-4","-26","130","-2","60","-66","10","41","-60","62","16","-90","6","82","44","-19","8","87","12","174","112","-21","-52","-205","38","-2","-16","80","-14","138","144","-22","22","174","-22","-159","-6","-237","-40","94","120","8","-96","20","22","-108","-8","8","58","120","-182","0","-88","204","-22","119","2","-128","-212","-8","-8","-19","96","7","10","-73","-14","-88","-28","-276","-26","-40","-44","12","90","-4","16","-8","-96","-32","-148","6","-22","17","-140","-286","-26","-2","98","230","-32","-11","76","18","8","34","-42","324","-32","-110","64","97","-18","-18","-44","71","36","-274","-8","-15","36","58","-36","-1","20","-56","-2","-188","6","-198","-26","-91","210","90","36","145","20","72","68","-20","-44","17","-134","-160","-22","236","2","265","8","98","78","15"],"lmfdb":"agrees","space":"715.2.a","level":715,"weight":2,"T":[[2,1],[3,3]],"status":"proven","derived":{"al":[[5,1],[11,-1],[13,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/715.2.a.f"}