{"label":"993.2.a.f","letter":"f","dim":15,"charpoly":["7342","17880","-215109","314612","22215","-249379","50527","81240","-19087","-14035","2616","1306","-149","-59","3","1"],"traces":["15","-1","15","17","-2","-1","17","9","15","-7","5","17","17","-14","-2","37","1","-1","24","-10","17","4","22","9","19","-28","15","17","16","-7","23","27","5","-6","-29","17","7","-9","17","-7","-14","-14","16","-5","-2","19","3","37","42","-3","1","-2","-2","-1","-4","-20","24","17","-13","-10","23","-30","17","43","-2","4","40","-26","22","-46","-12","9","22","-50","19","8","-23","-28","65","-23","15","-27","-2","17","34","-48","16","-21","-9","-7","22","-13","23","0","-13","27","30","13","5","-14","-31","-6","13","-34","-29","1","19","17","53","-28","7","27","-2","-9","-3","8","17","-47","-35","-7","10","-30","-14","-8","-30","-14","36","-10","16","-21","-28","-5","22","16","-2","-39","8","19","-31","-41","3","-27","35","37","-3","-26","42","-34","-2","-3","58","-31","1","-18","-12","-2","57","77","-2","-33","2","-1","23","-20","-4","-43","-3","-20","-20","68","24","-52","-38","17","37","-59","-13","-12","0","-10","-23","-74","23","-61","-79","-30","-36","10","17","-43","-12","43","3","-47","-2","39","-4","4","22","-84","40","-98","17","-26","-1","-61","22","10","3","-46","-26","-26","-12","4","26","9","26","13","22","-66","-99","-50","25","-25","19","-5","-34","8","-1","-52","-23","-36","-4","-28","8","-107","65","-98","-50","-23","32","-3","15","-23","-66","-27","-17","-35","-2","-53","-71","17","21","-36","34","-119","-70","-48","-12","-83","16","-72","7","-21","-49","-60","-9","83","-30","-7","0","-38","22","17","10","-13","30","-123","23","-58","-25","0","-35","-76","-13","62","-34","27","-46","-31","30","25","35","13","-73","-57","5","26","34","-14","27","28","-31","3","-126","-6","-51","-80","13","-12","4","-34","-73","69","-29","102","-46","1","-74","-33","19","-40","15","17","34","-13","53","-51","-44","-28","-15","31","7","48","-19","27","-41","38","-2","137","-32","-9","241","94","-3","-125","21","8","57","142","17","81","-22","-47","-4","43","-35","90","25","-7","-39","80","10","-61","-74","-30","29","77","-14","13","-62","-8","35","88","-30","-48","19","-14","51","194","36","-9","108","-10","-65","-91","16","115","14","-21","58","112","-28","133","94","-5","0","166","22","-133","-6","16","-90","46","-2","110","160","-39","-18","139","8","29","-52","19","89","-13","-31","6","-50","-41","-9","236","3","127","20","-27","40","138","35","-16","96","37","-19","97","-3","-19","-2","-26","59","49","42","-18","107","-34","-28","36","-2","142","-34","-3","-99","82","58","-116","159","-31","60","114","1","46","45","-18","102","226","-12","29","34","-2","56","178","57","-187","-99","77","57","-165","-2","122","16","-33","20","205","2","-47","-49","-1","107","107","23","-164","-93","-20","-54","22","-4","-39","-45","-43","33","165","-3","4","47","-20","-101","131","-20","-80","-152","68","-2","-108","24","57","15","-52","-48","-109","-38","2","-101","17","63","18","37","-83","167","-59","-15","45","-13","137","-34","-12","8","26","0","-18","73","-10","82","72","-23","-76","-47","-74","-21","316","23","109","21","-61","-21","139","-79","-26","-73","-30","102","40","-36","-39","-40","10","-94","-59","17","55","-10","-43","15","225","-12","19","115","43","32","173","3","-130","-25","-47","122","-31","-2","84","95","39","-5","203","-4","-40","-14","4","-29","63","22","30","145","-84","-148","159","40","338","-89","-98","18","102","17","-102","-42","-26","77","-23","-1","-201","-91","-61","-38","71","22","166","114","10","-61","-255","3","47","-10","-46","-81","379","-26","-162","126","-26","27","-21","-12","50","-79","4","-49","61","26","-44","61","9","4","-63","26","-19","-92","13","145","1","22","54","-50","-66","-137","1","-99","106","-131","-50","106","59","25","-212","-14","-25","-40","305","19","-159","-58","-5","44","99","-34","33","-80","8","-55","151","-1","-89","-29","-52","-35","47","-23","-76","189","-36","-122","141","-4","-117","-124","-28","111","61","8","-2","-41","-107","-79","163","65","43","8","-98","-51","-29","-50","-151","163","-23","-68","-178","32","-113","-99","-3","-78","14","15","205","-139","-23","-2","175","-66","-136","-101","-27","-80","-40","-17","-97","150","-35","-74","-93","-2","-21","-97","-53","-120","-31","-71","11","-11","17","-40","232","21","-159","-207","-36","60","152","34","-157","161","-119","-1","89","-70","106","-59","-48","186","-201","-12","-63","112","-83","-168","61","16","74","-91","-72","52","93","7","-64","44","-21","98","111","-49","-61","-148","-60","45","191","-9","131","-89","83","-205","-157","-30","-211","-151","-7","-25","409","0","-6","-49","-38","21","-5","22","91","1","17","-50","-120","10","-200","111","-13","-54","-55","30","-39","-132","-123","-142","-116","23","116","79","-58","-95","217","-25","94","-17","0","103","-123","-35","18","-117","-76","-15","66","-13","42","-126","62","-21","-61","-34","-20","244","27","-82","-160","-46","-122","-84","-31","99","36","30","76","-117","25","55","-19","35","-124","-135","13","39","55","-73","-200","146","-57","-89","238","5","83","-73","26","-104","-152","34","72","-68","-14","5","-138","27","-116","-91","28","43","-125","-31","102","-67","3","-89","43","-126","-206","-164","-6","154","113","-51","66","15","-80","-139","29","13","-117","-6","-12","-28","124","4","242","-65","-34","-23","73","-73","-84","-103","69","-119","-27","-29","-303","-31","102","-56","-8","-46","-295","-44","1","77","-243","-74","-307","145","-33","-58","120","19","288","-45","-40","24","387","15","-189","-45","17","-148","-60","34","-112","-58","-13","-100","-252","53","104","-39","-51","-106","-224","-44","-40","-55","-28","-15","13","-15","-95","-69","31","-18","-25","7","162"],"lmfdb":"agrees","space":"993.2.a","level":993,"weight":2,"T":[[2,1],[5,1]],"status":"proven","derived":{"al":[[3,-1],[331,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/993.2.a.f"}