{"label":"802.2.a.f","letter":"f","dim":10,"charpoly":["128","228","-2908","6480","-6164","2471","25","-375","132","-19","1"],"traces":["10","10","10","10","9","10","1","10","22","9","3","10","10","1","-7","10","0","22","-4","9","-5","3","17","10","9","10","13","1","-4","-7","-9","10","-3","0","-8","22","4","-4","-26","9","10","-5","-14","3","28","17","21","10","25","9","2","10","-16","13","-47","1","9","-4","10","-7","20","-9","-53","10","-16","-3","-27","0","-26","-8","-2","22","-16","4","-10","-4","2","-26","-12","9","18","10","-1","-5","-19","-14","-13","3","-5","28","-27","17","-55","21","-27","10","-15","25","-31","9","17","2","0","10","-38","-16","11","13","-6","-47","-23","1","17","9","38","-4","-20","10","-26","-7","21","20","1","-9","12","-53","14","10","-23","-16","35","-3","-4","-27","-7","0","-21","-26","-28","-8","-8","-2","51","22","-19","-16","-4","4","-10","-10","-56","-4","20","2","-9","-26","3","-12","-44","9","-28","18","12","10","-95","-1","0","-5","40","-19","-24","-14","48","-13","-49","3","17","-5","3","28","-3","-27","-30","17","82","-55","-22","21","-91","-27","-7","10","-4","-15","-98","25","5","-31","-90","9","-3","17","41","2","-13","0","-54","10","20","-38","-24","-16","26","11","-22","13","-43","-6","57","-47","26","-23","38","1","54","17","29","9","2","38","17","-4","45","-20","-2","10","-12","-26","-64","-7","66","21","74","20","108","1","-51","-9","-7","12","-9","-53","-13","14","-57","10","87","-23","-67","-16","-1","35","20","-3","16","-4","-62","-27","59","-7","-59","0","64","-21","-46","-26","1","-28","-64","-8","18","-8","-11","-2","-6","51","61","22","-26","-19","7","-16","38","-4","35","4","-30","-10","29","-10","22","-56","97","-4","160","20","54","2","-67","-9","74","-26","18","3","-115","-12","94","-44","-33","9","120","-28","55","18","-8","12","-97","10","35","-95","28","-1","65","0","-54","-5","-33","40","82","-19","64","-24","-112","-14","86","48","-48","-13","22","-49","-42","3","68","17","-54","-5","-23","3","18","28","-20","-3","154","-27","0","-30","-12","17","28","82","37","-55","2","-22","117","21","64","-91","-46","-27","6","-7","-17","10","119","-4","23","-15","37","-98","-2","25","-13","5","20","-31","-5","-90","-53","9","-10","-3","75","17","-14","41","-9","2","28","-13","64","0","149","-54","-21","10","42","20","135","-38","73","-24","35","-16","-11","26","-98","11","104","-22","27","13","69","-43","-53","-6","75","57","-110","-47","198","26","68","-23","8","38","63","1","-18","54","11","17","60","29","35","9","7","2","-25","38","71","17","2","-4","-53","45","112","-20","50","-2","18","10","-14","-12","19","-26","-78","-64","-87","-7","19","66","131","21","87","74","-88","20","48","108","13","1","16","-51","-193","-9","-33","-7","-36","12","105","-9","86","-53","3","-13","-19","14","2","-57","-66","10","16","87","-24","-23","28","-67","21","-16","152","-1","2","35","-242","20","32","-3","127","16","43","-4","20","-62","-17","-27","34","59","-98","-7","4","-59","50","0","42","64","-75","-21","31","-46","-92","-26","-91","1","-31","-28","-102","-64","-81","-8","23","18","85","-8","-22","-11","-106","-2","6","-6","-94","51","107","61","86","22","15","-26","0","-19","20","7","-25","-16","-51","38","3","-4","-98","35","-62","4","27","-30","-29","-10","-4","29","28","-10","56","22","-12","-56","-21","97","-89","-4","-18","160","107","20","-53","54","-9","2","-45","-67","-2","-9","-107","74","137","-26","-108","18","34","3","29","-115","-103","-12","80","94","-27","-44","-23","-33","-20","9","27","120","-44","-28","1","55","-33","18","-107","-8","228","12","98","-97","-123","10","47","35","-24","-95","119","28","23","-1","10","65","-115","0","-97","-54","2","-5","-17","-33","106","40","-76","82","-94","-19","-98","64","63","-24","-42","-112","-65","-14","-13","86","52","48","5","-48","-1","-13","-98","22","104","-49","-23","-42","-61","3","-64","68","12","17","-1","-54","-22","-5","77","-23","-103","3","-217","18","-23","28","-55","-20","-49","-3","-8","154","-66","-27","-107","0","-47","-30","-136","-12","12","17","-61","28","-56","82","-28","37","-70","-55","110","2","-131","-22","-101","117","-104","21","93","64","-7","-91","-115","-46","-219","-27","31","6","145","-7","-41","-17","-167","10","-69","119","139","-4","46","23","-87","-15","-205","37","-109","-98","19","-2","9","25","-67","-13","-32","5","-86","20","5","-31","-35","-5","-77","-90","83","-53","-190","9","-140","-10","-22","-3","-280","75","56","17","111","-14","60","41","-21","-9","117","2","-124","28","-95","-13","67","64","-7","0","-162","149","-4","-54","7","-21","29","10","-80","42","-26","20","-225","135","-41","-38","-122","73","251","-24","-77","35","-206","-16","-68","-11","-113","26","103","-98","-98","11","54","104","-63","-22","-41","27","9","13","-80","69","73","-43","-87","-53","-92","-6","-6","75","-83","57","-79","-110","-206","-47","18","198","19","26","34","68","110","-23","-142","8","-4","38","-63","63","-11","1","-354","-18","-28","54","-97","11","201","17","-52","60","-39","29","52","35","-142","9","23","7","133","2","-19","-25","-40","38","1","71","210","17","69","2","29","-4","-64","-53","22","45","32","112","-68","-20","-44","50","-5","-2","-82","18","-30","10","-171","-14","29","-12","-21","19","39","-26","-59","-78","-52","-64","-33","-87","-55","-7","61","19","245","66","-7","131","21","21","225","87","41","74","-161","-88","-116","20","-104","48","104","108","-119","13","194","1","-96","16","118","-51","4","-193","-31","-9","63","-33","-103","-7","30","-36","-12","12"],"lmfdb":"agrees","space":"802.2.a","level":802,"weight":2,"T":[[3,1],[5,1]],"status":"proven","derived":{"al":[[2,-1],[401,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/802.2.a.f"}