{"label":"905.2.a.f","letter":"f","dim":17,"charpoly":["1568","-3612","-42782","65345","176447","-247927","-188841","296729","25452","-117174","16827","17761","-4736","-950","408","-3","-11","1"],"traces":["17","4","7","24","17","-1","22","15","20","4","1","8","11","-9","7","26","8","6","12","24","0","-1","19","-15","17","-23","13","32","-4","-1","20","-6","-10","-7","22","5","-1","-5","-12","15","-15","-18","44","-35","20","-10","43","-11","31","4","-22","31","12","-8","1","5","-1","-17","10","8","21","3","43","-9","11","3","35","4","-13","-9","-35","65","2","-43","7","52","-11","-33","26","26","-15","41","30","-41","8","-1","68","-37","-24","6","13","36","-49","0","12","-66","29","-28","-29","24","-5","-22","52","-30","0","7","44","-72","1","-1","17","55","-36","-136","19","-72","-3","-6","-37","-15","22","35","-13","52","17","-17","36","-50","-54","-23","-31","57","-25","-58","13","31","1","-33","-1","32","-29","63","-15","-68","-4","-21","43","-47","-25","-1","78","57","13","-89","20","-18","1","-24","-1","-6","-20","13","5","-106","-10","-9","52","-174","-66","-7","30","69","-45","-34","22","-105","3","-95","-73","5","-17","4","6","-62","-1","-2","58","-75","-54","-5","-58","1","39","-48","-12","41","23","-152","64","15","22","44","-46","-118","-15","-43","-46","-47","-93","-18","-27","82","-32","-117","44","-56","24","-135","-18","-35","-101","17","65","-99","20","53","26","-136","65","-10","-15","-67","17","-49","43","-49","-23","-100","0","-11","74","33","-24","-60","31","103","-24","69","-18","4","-52","-23","59","-14","-22","-64","-32","-126","0","31","-41","14","58","-84","12","-29","28","4","-11","-8","68","58","34","-12","1","55","-69","-146","53","5","0","108","45","-49","-1","154","-51","-26","5","-17","-19","86","-36","-69","10","-36","-64","-89","-12","8","76","-12","91","111","21","55","82","-66","0","3","-39","59","-11","45","43","91","-42","7","27","-9","20","27","100","5","11","-7","93","9","-20","3","-52","147","12","76","35","80","24","-96","-4","4","-87","188","212","-48","-13","19","87","29","62","-9","96","34","3","-78","-35","-68","-144","-37","-55","65","15","-4","49","-17","2","228","110","65","-84","-43","-15","-66","78","50","7","36","14","-41","-49","52","-13","72","23","76","-11","-75","166","56","-83","-33","98","29","70","50","26","16","-52","34","-21","26","-75","102","48","-38","-15","-13","64","-133","27","41","-34","105","15","-173","30","-99","-50","-69","-22","-41","-5","271","148","-64","8","161","39","13","-25","-1","55","-147","43","88","68","1","-50","-24","-35","-37","86","-37","72","228","-24","67","-31","-4","-80","6","14","-127","78","106","13","-87","-2","128","-108","36","-26","170","73","-46","-49","92","19","-142","106","0","-81","100","-11","-4","12","-34","-222","-35","59","-66","-125","12","-47","145","29","181","21","99","-46","-28","-75","136","-12","24","-29","120","-202","108","50","24","-21","-29","60","159","-5","22","-25","-10","-90","-22","54","60","86","142","52","-61","-60","-149","-35","-30","-20","-67","49","92","0","-35","40","118","66","7","-179","159","-22","95","44","-16","-136","-47","-64","-72","-45","195","-7","148","1","63","30","133","135","-1","16","-73","17","117","17","91","-72","62","137","55","7","83","153","-138","-36","75","50","58","-85","-136","-56","-17","6","321","19","56","-30","97","31","-72","-114","-139","-13","146","-3","12","109","42","-114","-6","34","-34","27","69","-37","-70","-106","44","-54","-15","-45","19","155","104","22","-137","113","20","120","35","37","111","134","-173","-13","-209","-185","98","-10","52","-112","-9","134","-24","17","-63","-11","-85","-38","-17","-42","-24","-61","134","36","128","-49","189","-96","-50","-83","51","186","252","-54","123","-86","52","-149","-23","-289","-187","34","241","-31","-180","-200","-60","-117","57","86","-87","-94","-147","-25","52","53","250","34","-58","-20","-227","23","106","13","-11","-117","-69","101","31","-156","25","-23","189","1","-6","-43","31","10","-33","-22","-34","-15","73","-1","259","-192","215","-177","32","-65","-46","98","16","-29","-59","-9","-309","-23","63","-65","-209","-4","-49","-15","-176","-194","-164","78","-68","24","-61","106","-24","-4","127","120","156","-109","-21","-91","84","-3","12","43","77","-127","-120","28","-47","-57","36","80","-46","-25","-16","-159","-44","18","-1","-53","-82","-43","137","78","-316","-128","30","7","57","-73","-88","-59","-69","13","137","99","-61","157","-89","-180","66","-82","230","20","-185","-149","-157","-204","-18","-177","-120","125","212","1","83","105","100","124","-24","-109","-290","38","14","-1","157","-160","-460","120","-6","-39","-132","119","77","-20","-249","-66","-57","-58","13","15","-288","33","-264","5","60","12","-20","77","-106","-198","59","5","97","-10","269","-50","-240","106","-9","92","-175","-81","260","52","-20","-172","-105","-122","-174","-95","49","60","20","-66","223","20","97","-70","-7","-171","66","-172","97","30","-52","-230","-120","14","69","-71","72","14","-61","-45","149","-133","13","-56","-34","165","-235","-34","-31","22","-8","-9","138","-9","-105","-83","-313","10","-32","3","185","-48","-86","-103","-95","-166","-173","50","76","-73","-119","-237","-241","-87","5","-3","-131","-188","172","-17","423","-89","51","39","4","-57","-105","1","-139","6","404","-149","22","133","-62","25","-49","-107","233","-1","94","-47","-211","-81","-2","-129","14","-77","60","58","178","-72","-156","-114","-75","8","-238","78","118","-54","-31","-46","4","82","-5","-19","-136","5","94","-58","-46","-123","-238","-81","1","-15","121","111","111","39","378","14","-139","117","-48","-46","188","-23","-62","-12","-294","-132","-52","-31","41","14","27","152","221","23","-82","-120","-84","-55","-152","16","-12","-187","115","64","536","-2","443","-57","15"],"lmfdb":"agrees","space":"905.2.a","level":905,"weight":2,"T":[[2,1],[3,1]],"status":"proven","derived":{"al":[[5,-1],[181,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/905.2.a.f"}