{"label":"721.2.a.f","letter":"f","dim":14,"charpoly":["14709","-14563","-35599","34265","30577","-30775","-10794","12985","1086","-2579","145","221","-29","-6","1"],"traces":["14","0","6","12","13","0","14","-6","12","-4","18","6","6","0","8","8","23","-9","7","26","6","-20","15","2","1","0","18","12","6","9","18","-27","-1","6","13","-10","-3","22","-9","-41","19","0","-4","59","9","-26","40","9","14","-16","-2","9","-4","-17","32","-6","-20","-13","22","-18","-13","7","12","36","-7","1","-22","25","13","-4","56","-13","8","-4","7","-15","18","14","-1","58","-26","-50","18","6","8","16","13","-91","30","14","6","-4","-17","-31","-5","-69","-6","0","29","6","12","-96","-14","43","8","18","-2","0","-43","-72","15","8","6","45","17","-39","-26","-1","23","-11","-26","4","-41","-32","15","-9","14","-75","-34","-55","27","12","7","33","-31","-61","-37","-86","-22","26","15","-78","41","-120","-60","2","6","-14","-10","-13","13","-2","-9","-20","23","-46","2","-38","0","-93","15","-39","-14","20","-76","-35","43","2","-12","-36","31","-106","12","50","1","51","-44","-3","-8","-110","-7","0","40","-39","-3","-104","11","68","18","40","7","10","-53","19","-47","12","-19","0","91","-162","-32","47","6","13","-10","0","-18","-37","41","9","35","-58","-3","-19","29","62","18","5","-34","97","-18","-82","0","-27","-7","-53","54","-88","-26","62","-1","25","-34","-30","1","45","25","6","77","82","-32","-136","0","40","13","-10","-70","-7","-77","-34","40","-10","33","25","95","56","46","103","-3","-68","-8","-2","32","-59","-67","22","24","-64","53","-16","22","142","-9","43","-5","96","-30","1","14","-41","48","-22","44","122","-17","66","19","107","-13","7","82","-75","30","0","30","97","-13","-19","31","35","-4","-81","-67","-53","10","-42","-30","59","-6","-50","177","-37","15","98","9","15","-40","141","2","228","-2","-26","37","65","-91","-43","12","5","40","4","-52","-10","24","-101","7","9","-64","153","30","134","-2","-13","14","78","-101","53","15","-7","-2","-16","58","-104","120","13","57","100","-2","156","46","111","-33","-34","-48","9","-72","82","84","-16","-19","174","-4","84","-114","-10","84","-55","2","-17","43","-2","-35","-148","78","60","32","-26","-41","-9","8","-57","-6","-6","29","101","36","14","-112","36","-20","160","-49","-29","24","18","-24","-13","-13","48","-114","-82","5","-12","22","29","-2","0","-24","2","96","-18","-30","142","148","35","58","38","-13","-16","1","63","90","-175","11","7","-8","66","-122","38","56","-254","12","145","20","2","46","148","-124","36","-16","154","35","-42","-58","55","-7","84","-59","80","50","-49","92","1","6","22","-8","22","52","19","-22","-30","-68","40","-81","-2","-44","25","-70","69","133","-152","-81","100","13","130","-22","-77","42","23","-60","-4","-74","56","-44","-2","-120","101","56","52","-15","30","-48","18","-3","-13","9","14","-2","-12","71","-61","8","-246","-74","-43","-13","-166","12","-4","36","112","-42","-50","-7","90","7","121","35","83","37","-72","-46","-15","-83","139","-13","170","-72","103","18","-114","-119","-3","-35","-199","-14","14","-128","102","12","-105","60","-139","-1","-109","-95","-50","-38","35","17","58","-4","-52","-21","70","-7","-14","-26","-134","-33","89","55","52","21","-50","23","-138","-123","29","-65","-28","18","-115","-126","-26","-102","-40","-30","6","-108","176","4","-154","68","80","8","-226","-99","0","116","-52","-142","16","-114","170","-13","79","-72","84","13","115","-46","-168","6","178","-172","-91","-57","0","-24","16","33","11","30","49","-108","-232","-98","160","-28","14","53","2","-75","-35","61","-5","6","-86","22","-308","-24","-63","-94","-4","-45","102","76","105","58","-102","-17","61","-106","-144","30","141","-51","-31","-89","21","-92","-6","8","194","-5","-123","-78","40","73","43","49","-69","-82","134","-80","-32","-72","70","-6","-218","-47","-3","-19","32","-99","0","-92","-42","-38","-3","-71","-57","29","48","-7","31","-49","27","-40","6","-115","37","62","109","30","-155","12","80","78","-315","169","-167","28","-96","-10","87","-70","134","84","-229","-14","-189","-108","-157","-87","12","-89","43","-102","245","-65","62","62","-26","8","-54","-178","102","-6","-137","-69","18","4","195","-115","26","34","248","-2","-108","-1","-63","-89","-26","-27","0","-101","-5","160","33","92","-168","-43","-21","44","62","23","157","-55","-72","23","-63","-40","120","32","119","15","136","41","-114","208","-6","-108","8","-149","116","-25","34","-23","-24","6","88","-160","-94","228","261","-58","45","151","-245","-2","48","-40","-53","17","-108","-82","260","-74","-50","-170","-39","-61","72","76","73","51","-87","-26","242","-51","-221","54","6","-35","-1","-43","134","38","-21","-66","-174","23","314","115","-62","59","20","10","-11","-56","21","171","-6","114","-133","-26","-83","-167","-218","221","-130","-140","4","120","50","90","127","8","-153","-41","20","-12","77","-160","111","-213","-32","-50","133","111","-220","251","263","15","-35","-7","-143","285","369","37","-9","-90","93","-179","60","74","-29","14","-154","-122","-152","-4","131","-11","-75","-26","68","31","-169","-30","-183","-34","41","-165","-29","29","196","113","-55","140","14","5","14","-84","-134","27","135","-46","-281","-47","-104","77","12","-87","4","-12","233","150","-195","7","-37","-76","-41","135","21","98","33","94","76","-5","-55","54","-45","-31","184","29","68","-22","121","-66","-61","-166","287","85","58","128","-74","-37","251","144","-82","-12","-77","38","-86","-11","-201","-112","131","118","65","-22","-48","-11","-32","-57","260","-29","26","-148","255","152","120","31","-82","15","127","2","211","78","44","2","-78","68","-173","-42","191","55","-285"],"lmfdb":"agrees","space":"721.2.a","level":721,"weight":2,"T":[[2,1],[3,1]],"status":"proven","derived":{"al":[[7,-1],[103,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/721.2.a.f"}