{"label":"842.2.a.f","letter":"f","dim":11,"charpoly":["3056","-18485","-86699","17498","38441","-6451","-5750","967","323","-54","-6","1"],"traces":["11","-11","8","11","-2","-8","8","-11","15","2","4","8","16","-8","5","11","-5","-15","17","-2","-5","-4","0","-8","31","-16","35","8","-5","-5","11","-11","24","5","18","15","26","-17","15","2","-17","5","19","4","0","0","12","8","29","-31","0","16","9","-35","13","-8","0","5","11","5","-4","-11","3","11","-19","-24","32","-5","7","-18","-2","-15","19","-26","36","17","10","-15","5","-2","39","17","28","-5","20","-19","12","-4","-18","0","28","0","20","-12","-9","-8","43","-29","30","31","-38","0","66","-16","27","-9","12","35","1","-13","9","8","-13","0","31","-5","35","-11","-42","-5","13","4","-26","11","-54","-3","31","-11","3","19","10","24","-10","-32","-59","5","-16","-7","-11","18","-19","2","-7","15","-39","-19","30","26","-37","-36","-3","-17","-42","-10","12","15","60","-5","-88","2","-98","-39","12","-17","-69","-28","-3","5","5","-20","30","19","-73","-12","-65","4","-23","18","-13","0","7","-28","-49","0","-48","-20","3","12","-68","9","-22","8","-51","-43","-80","29","-17","-30","-9","-31","-108","38","-35","0","-32","-66","2","16","-66","-27","-51","9","-75","-12","-61","-35","10","-1","4","13","-71","-9","62","-8","-50","13","18","0","-83","-31","-10","5","-22","-35","-20","11","-12","42","-50","5","19","-13","8","-4","-81","26","38","-11","-21","54","69","3","-46","-31","-5","11","-17","-3","22","-19","-12","-10","-16","-24","-55","10","-22","32","-16","59","2","-5","-98","16","-16","7","-2","11","-14","-18","-52","19","40","-2","-78","7","78","-15","-40","39","127","19","-35","-30","20","-26","84","37","-10","36","-38","3","-72","17","-16","42","93","10","59","-12","30","-15","-4","-60","107","5","52","88","-8","-2","-32","98","33","39","91","-12","34","17","8","69","73","28","49","3","43","-5","20","-5","96","20","-6","-30","28","-19","13","73","46","12","-26","65","64","-4","68","23","34","-18","-31","13","-44","0","56","-7","130","28","-84","49","110","0","-185","48","111","20","-33","-3","13","-12","33","68","14","-9","71","22","-56","-8","-45","51","48","43","-4","80","55","-29","-37","17","197","30","57","9","-127","31","4","108","86","-38","-95","35","39","0","-16","32","-7","66","66","-2","-18","-16","54","66","45","27","11","51","63","-9","-28","75","34","12","-99","61","22","35","26","-10","-38","1","81","-4","-17","-13","236","71","75","9","-60","-62","-18","8","-55","50","107","-13","-160","-18","110","0","0","83","-59","31","-74","10","-10","-5","73","22","84","35","43","20","19","-11","-5","12","38","-42","-47","50","-75","-5","-23","-19","-131","13","65","-8","-12","4","7","81","108","-26","49","-38","-202","11","57","21","-69","-54","-13","-69","54","-3","18","46","146","31","-106","5","-37","-11","-1","17","-39","3","26","-22","-148","19","28","12","49","10","-131","16","26","24","13","55","-34","-10","-63","22","9","-32","20","16","77","-59","-74","-2","-80","5","1","98","36","-16","-118","16","-20","-7","135","2","-11","-11","52","14","-51","18","9","52","31","-19","-50","-40","-58","2","-27","78","25","-7","6","-78","12","15","92","40","-73","-39","-37","-127","-82","-19","-165","35","26","30","-200","-20","69","26","44","-84","60","-37","129","10","-100","-36","-12","38","-133","-3","58","72","-77","-17","-243","16","180","-42","45","-93","-44","-10","6","-59","78","12","-44","-30","61","15","63","4","9","60","-86","-107","1","-5","-12","-52","7","-88","133","8","-85","2","-1","32","-88","-98","-74","-33","71","-39","-167","-91","-12","12","-48","-34","-190","-17","46","-8","-13","-69","151","-73","-59","-28","181","-49","101","-3","-41","-43","53","5","29","-20","149","5","-13","-96","-102","-20","8","6","21","30","-15","-28","-175","19","16","-13","9","-73","-89","-46","27","-12","-12","26","-39","-65","-9","-64","83","4","-86","-68","29","-23","-26","-34","49","18","10","31","-231","-13","-123","44","-85","0","18","-56","8","7","128","-130","93","-28","-108","84","93","-49","-139","-110","-285","0","83","185","-56","-48","174","-111","35","-20","-6","33","-25","3","-17","-13","41","12","183","-33","28","-68","10","-14","-118","9","-132","-71","-80","-22","-72","56","37","8","-85","45","49","-51","106","-48","61","-43","47","4","-73","-80","-2","-55","-85","29","-139","37","40","-17","-171","-197","-86","-30","107","-57","83","-9","39","127","-258","-31","97","-4","35","-108","-16","-86","4","38","-82","95","59","-35","-102","-39","79","0","74","16","-198","-32","98","7","89","-66","-41","-66","12","2","76","18","-81","16","-58","-54","61","-66","12","-45","-8","-27","-32","-11","65","-51","-89","-63","96","9","-101","28","46","-75","-12","-34","-232","-12","178","99","11","-61","271","-22","202","-35","54","-26","-1","10","12","38","-73","-1","86","-81","25","4","-24","17","-44","13","131","-236","44","-71","247","-75","65","-9","-14","60","224","62","-24","18","-35","-8","68","55","139","-50","-46","-107","8","13","11","160","-72","18","-115","-110","27","0","-27","0","-153","-83","98","59","-15","-31","89","74","138","-10","36","10","115","5","-28","-73","153","-22","180","-84","273","-35","82","-43","-53","-20","182","-19","-129","11","280","5","94","-12","-12","-38","74","42","8","47","-8","-50","-83","75","135","5","122","23","-56","19","29","131","-183","-13","29","-65","207","8","56","12","230","-4","78","-7","-44","-81","-65","-108","47","26","-175","-49","-108","38","36","202","32","-11","76","-57","-26","-21","118","69","76","54"],"lmfdb":"agrees","space":"842.2.a","level":842,"weight":2,"T":[[3,1],[5,1]],"status":"proven","derived":{"al":[[2,1],[421,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/842.2.a.f"}