{"label":"209.2.a.d","letter":"d","dim":7,"charpoly":["70863","-58557","-20358","5492","656","-140","-5","1"],"traces":["7","-1","2","15","2","-2","10","-9","11","-6","-7","-16","-4","6","12","27","2","9","7","-4","-14","1","10","-2","9","-8","-4","26","-18","-42","24","-49","-2","-6","8","29","0","-1","24","-2","-12","-44","2","-15","-4","-4","8","-72","17","-33","-24","-60","2","-52","-2","26","2","-8","-10","42","14","14","0","55","-14","2","8","-18","-6","-66","10","53","-6","26","26","15","-10","22","52","-12","-1","24","-10","-6","-12","8","6","9","0","20","12","0","2","24","2","6","-24","19","-11","79","-30","84","-4","40","-20","-10","36","-74","-14","6","22","62","-16","-2","-22","-6","-32","4","-4","-110","7","50","16","50","6","106","16","-57","-2","-56","10","16","10","-70","-18","-58","6","68","10","84","-28","2","4","29","-2","14","-60","-14","-18","62","36","-9","-62","-6","28","128","26","-96","0","62","-60","1","24","-52","-12","-44","44","-156","27","108","11","34","-46","10","4","-27","-46","-34","8","-56","-20","-50","-24","-40","-66","-26","-2","20","-58","-6","42","-56","-30","114","-54","25","-30","-9","64","-181","22","26","-38","-20","-34","2","44","-100","-7","-62","16","86","0","64","-18","8","12","-50","-44","4","8","0","-54","-6","-55","50","-12","-16","2","188","14","-28","-6","-94","-28","64","24","-32","10","146","2","-1","30","-10","44","94","-4","-14","-26","-90","-6","108","-10","4","28","51","46","-30","-8","-2","-24","-66","-30","2","-80","6","6","-38","6","74","18","46","54","52","-9","-152","54","-36","58","-134","-26","152","22","92","12","8","-16","-3","25","-26","-58","22","-8","-140","122","106","4","-42","-40","110","72","84","48","27","-20","-26","-64","-26","46","40","-28","90","-34","-118","-26","104","-12","92","18","-36","56","68","2","-73","-32","48","-80","4","-12","42","46","-78","74","-40","-24","-6","-72","85","50","-124","-24","9","92","24","78","-100","-48","58","26","-130","118","49","96","-108","-56","146","8","-114","22","124","7","46","2","-152","48","56","6","40","-80","-36","-32","-112","-6","6","-14","-112","-16","-30","12","-4","12","-60","28","158","-8","-32","-18","-138","34","16","88","107","82","-2","44","-29","4","-12","-14","111","-46","114","-78","-122","60","-36","0","96","-10","-24","-24","-28","28","-104","58","20","-78","1","64","0","10","48","-88","-106","-26","14","28","104","-24","-162","-8","-42","40","42","-16","122","10","-204","72","2","-15","28","-98","-16","-62","64","-44","-86","64","-11","12","-86","8","-172","-34","-2","-18","-144","8","-268","50","44","-6","-38","72","-66","-90","-160","-60","128","164","-84","-2","-60","9","-224","26","-180","6","-194","68","100","-60","15","30","-104","-22","38","-60","-84","42","148","-52","-8","4","66","66","-10","0","144","-128","124","50","186","60","4","-112","56","16","52","4","-121","-4","50","-2","78","-8","144","74","-32","44","-32","20","-34","176","-60","20","72","41","-12","-72","26","62","116","24","-114","-134","30","-17","-152","18","14","18","-106","0","310","8","-36","-22","33","-18","252","76","-58","-106","30","6","68","46","272","24","-132","-68","-32","-78","-94","36","-38","36","-42","70","60","190","-38","-76","117","-46","-59","-46","50","68","-52","-2","142","28","-64","8","-54","24","-32","-140","-110","98","52","-28","14","-56","-24","48","42","-84","10","-6","64","2","-196","12","-49","94","96","-56","30","26","92","-94","-26","-28","-6","6","-6","98","60","8","220","27","30","-2","64","-96","68","62","-132","-12","142","-96","-64","14","8","6","222","16","-204","-58","-220","-90","-6","46","273","10","202","-118","156","62","56","92","-156","134","-8","28","-42","-60","-10","-140","-24","8","-58","-56","156","-54","132","-14","-200","68","-60","-112","-5","18","172","28","184","0","-14","-112","29","-26","-22","-28","26","-28","20","-30","-86","0","72","-30","30","44","174","56","136","-62","102","0","-55","12","-150","-136","-8","114","-174","96","-234","90","48","14","246","90","242","30","-140","-90","-1","-78","-2","60","-2","10","-162","65","72","-72","-64","6","-8","-26","-152","-8","-46","-14","-184","24","96","-8","-94","56","80","-146","18","80","-38","150","44","90","86","-56","-346","-92","-54","6","-2","-62","340","-140","24","-44","82","-208","-136","2","66","-88","-42","6","102","-2","250","-4","146","-12","-182","-10","-76","-22","141","168","-32","-12","-66","58","-68","-88","-53","-16","-240","-32","252","-28","-44","184","-269","-62","-46","6","-12","-104","-136","-56","254","26","-58","-28","18","90","-26","-108","-124","2","-120","-226","-70","-70","-176","18","34","-26","-144","-168","100","-60","-30","-32","-220","50","-210","-88","-15","-64","80","-86","-58","-113","206","-78","96","-4","40","10","110","174","66","-14","30","-78","72","-4","176","-8","-22","-26","106","106","80","-26","-108","-18","-138","10","128","-52","18","94","-242","-78","-4","98","-244","-10","-8","-20","12","-78","295","48","-68","106","108","28","124","-76","-180","1","-116","8","-176","0","66","20","-62","-68","-189","-68","-24","52","26","74","92","-32","48","182","78","140","-72","10","38","-32","28","-114","36","158","440","-48","218","28","6","-58","52","86","60","100","-32","17","130","8","-12","12","-162","34","-74","44","-200","34","-2","-32","128","-34","-8","82","-104","-124","-33","18","168","70","-50","30","-70","-6","-82","-14","426","-69","36","208","126","-50","-4","-76","-9","-24","136","-74","154","112","-182","-70","-34","0","48","0","242","42","10","28","30","-140","44","32","-60","-160","-20","106","-74","136","64","12","166","-70","12","90","-262"],"lmfdb":"agrees","space":"209.2.a","level":209,"weight":2,"T":[[2,1],[3,3]],"status":"proven","derived":{"al":[[11,1],[19,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/209.2.a.d"}