{"label":"717.2.a.f","letter":"f","dim":8,"charpoly":["-443","-1839","-2159","-715","374","379","123","18","1"],"traces":["8","-5","8","7","-13","-5","-7","-15","8","4","-19","7","-3","-8","-13","9","-13","-5","-6","-18","-7","3","-18","-15","7","0","8","-2","-10","4","-2","-20","-19","-4","-7","7","-8","9","-3","29","-22","-8","-24","-7","-13","30","-17","9","15","24","-13","22","0","-5","32","19","-6","18","-24","-18","10","30","-7","33","-17","3","-48","-21","-18","31","-17","-15","2","9","7","10","10","0","17","8","8","-17","-37","-2","28","-1","-10","15","-41","4","-39","-38","-2","2","16","-20","-20","46","-19","7","11","-4","9","-4","-7","2","-9","7","17","-20","-8","-30","-31","9","22","41","-3","73","22","29","17","-15","-22","-39","-27","-8","2","-10","-24","4","-1","-7","-2","18","-13","41","-51","30","24","36","-17","15","34","9","3","27","15","-26","2","24","35","30","-13","98","23","22","17","7","0","34","-8","-5","-59","38","32","27","22","19","27","95","-6","-21","8","18","50","54","-24","81","26","-18","37","-6","10","75","8","30","-10","-4","-7","-63","-14","33","40","16","-17","-33","30","3","33","-18","-48","-63","-37","-21","46","84","-18","35","-27","31","20","-18","-17","-36","103","-15","21","-10","2","47","9","9","47","108","7","-28","-27","10","37","-9","10","-86","59","0","5","-90","17","-1","8","8","-10","26","8","45","-40","-17","-33","-31","-37","-54","-1","-2","-6","82","28","13","-51","-1","-2","-85","-10","2","7","15","40","-95","-41","-38","10","4","-67","-28","-39","-28","-42","-38","9","23","-2","-37","1","2","-33","12","16","-46","26","-20","83","-14","-20","-89","-1","46","8","66","-19","-12","42","7","11","-79","11","-96","23","-4","-44","-41","9","-61","-10","-4","37","-111","-7","-85","-31","2","-10","-78","-9","-65","-103","7","41","-32","17","-79","117","-20","-28","-17","-8","-48","38","-30","-7","21","-31","-33","-20","9","-71","0","22","43","-31","41","-16","-86","-3","-81","-70","73","-35","-133","22","-130","32","29","48","2","17","-71","23","-15","-64","-53","-22","-43","-46","-39","-5","77","-27","-9","50","-8","-60","52","2","-30","47","-10","33","-44","-24","-37","-13","4","-9","46","-1","75","36","-7","40","-62","-2","-119","-39","18","-146","136","-13","-42","59","41","34","108","-51","-168","28","30","20","-201","24","0","-20","36","5","41","-17","95","8","15","-103","39","34","-25","2","9","45","29","3","-146","63","27","53","34","15","-143","-57","-26","88","-9","2","-74","-27","24","39","17","35","91","144","30","23","30","-13","13","-40","98","-100","46","23","-116","-40","22","88","-25","17","113","93","7","-38","131","0","-5","-35","34","43","5","-8","-40","65","-5","-50","-44","-59","-92","-34","38","23","265","32","-23","47","27","-97","58","22","-93","9","19","-23","-76","27","-28","44","95","-31","-79","-6","123","-119","-21","60","27","8","97","-86","18","-15","-4","50","-188","-20","54","80","19","-24","-12","-1","81","62","138","26","-23","-66","-18","47","9","37","146","13","-6","-29","9","10","43","31","75","-20","-116","8","-26","18","30","-115","40","-10","-68","-7","-4","72","79","-7","-73","-8","-63","-72","-30","-14","76","-21","33","54","-51","40","-89","46","16","-106","42","-17","33","-22","-33","8","-254","30","-40","44","3","-167","-12","33","4","170","-18","103","137","-48","229","-17","-63","-40","101","-37","-111","-115","-21","67","-13","46","-90","-22","84","89","112","-18","29","34","35","58","-90","-27","176","-33","31","-11","-17","20","19","26","-18","135","-113","-17","59","-45","-36","-101","-53","103","89","7","-15","145","-11","21","-111","99","-10","-57","185","2","73","-29","47","57","170","9","156","158","9","61","-86","47","56","77","108","-34","59","7","75","40","-28","-7","-109","-27","-63","-133","10","150","-82","37","82","-16","-9","34","-84","10","58","-66","-86","72","-42","59","-54","94","0","4","60","5","-102","-13","-90","167","-2","17","115","-31","-1","102","117","8","45","62","8","43","-96","-10","131","46","26","15","65","8","19","-14","45","46","103","-40","-49","80","-17","-98","58","-33","-169","-51","-31","120","8","-37","-1","-18","-54","-37","-70","-1","-31","-106","-2","-54","-50","-6","-153","52","82","23","53","28","-149","-17","13","31","-248","-51","66","-8","-1","-13","26","-2","-23","-37","-85","125","-62","-10","-147","-117","2","-78","-4","7","-52","98","15","57","-141","40","-16","-51","-95","48","99","-41","18","11","-38","151","-15","10","-210","18","4","-1","-109","-67","-4","120","-28","45","13","-39","-79","3","-28","-39","266","-42","66","-162","-38","43","-67","9","153","44","23","86","-88","-2","122","-90","-37","-22","-14","1","-24","12","2","-7","-227","-33","-342","7","12","-79","61","16","-56","-16","-46","57","137","26","-58","23","-20","-108","-77","83","24","77","-14","78","292","-20","152","-29","-89","46","-96","-1","-202","-63","46","-203","28","8","-61","79","66","-84","-104","-19","121","-14","-12","-59","13","42","-24","23","7","217","-38","11","132","-54","-79","-20","44","11","167","-1","-96","47","-25","23","23","63","-4","-21","-144","-44","26","90","-41","-8","174","9","-72","-98","-61","-28","89","-10","27","29","-4","115","-18","37","132","-21","-111","133","-209","-7","-41","-215","-85","-15","121","-31","-33","101","2","35","7","-10","0","90","-78","0","45","-9","-18","6","-65","-2","49","-103","74","56","7","38","-120","41","84","-98","-32","61","-66","17","90","-35","-79","-134","-69","117","-256","-48","-20","-83","211","-28","144","61","-17","6","135","-8","-8"],"lmfdb":"agrees","space":"717.2.a","level":717,"weight":2,"T":[[2,1],[5,1]],"status":"proven","derived":{"al":[[3,-1],[239,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/717.2.a.f"}