{"label":"727.2.a.a","letter":"a","dim":24,"charpoly":["4","-98","-18165","-180440","-639589","-662407","1316949","3617149","1144272","-4195891","-3742820","1554402","2955777","264958","-1040209","-360545","153597","102005","540","-11214","-2346","240","152","21","1"],"traces":["24","-13","-8","21","-8","-3","-7","-36","2","-4","-13","-16","-18","-8","-16","23","-55","-12","-3","-9","-20","-6","-27","14","-6","8","-20","2","-45","15","-1","-60","-25","39","-28","10","-12","-19","-1","2","-41","14","-24","-4","-6","11","-25","-11","-3","-35","13","-22","-61","21","-4","-18","-52","19","7","-19","10","-13","-11","70","-83","29","-4","-77","9","26","-18","-8","-25","-18","8","18","-66","2","-6","4","-32","28","-38","-12","-11","34","8","0","-65","-3","15","-54","-34","46","-20","56","-21","-25","20","45","-29","49","9","70","-16","78","-31","15","15","43","55","57","-104","112","34","-67","-9","37","19","96","7","55","41","73","3","57","-3","-70","13","106","11","44","-1","15","57","174","-97","57","42","45","7","55","6","105","8","67","67","50","-28","118","27","-37","-68","106","26","58","14","25","72","68","-57","77","19","54","-10","61","-2","90","20","35","87","19","-45","110","54","87","-32","74","-35","102","53","51","41","93","-75","10","28","-41","11","105","14","28","-61","20","84","43","-51","-2","39","-52","6","16","0","34","-60","13","-29","-82","4","100","18","-79","49","92","17","24","-86","26","9","-84","-15","-36","-30","-61","-42","22","22","-82","-19","1","87","92","-210","119","82","-68","16","-57","-37","-139","7","-25","37","42","52","-113","-32","47","10","32","-31","-36","9","29","102","73","-118","-65","-4","-128","-83","44","-74","-49","-16","-92","51","-21","9","-44","39","-182","-13","21","-21","28","-18","-99","79","-56","-90","-45","4","-42","16","-121","-32","-117","35","73","-9","-102","-20","55","60","-147","-10","5","79","-125","-37","-56","-52","107","-85","-27","5","-124","14","-131","30","-113","-26","-28","41","-19","-99","-30","47","-25","-88","55","-7","-187","3","16","58","-129","-61","53","-25","-172","42","32","41","-183","-119","-114","65","-89","-74","-70","-32","132","-15","-40","-65","-15","66","-123","33","-67","-109","-5","10","-167","77","-81","57","-146","-41","-127","17","-63","-39","-239","19","-144","13","56","37","-59","-34","133","31","-73","-43","26","39","-13","10","-119","-44","23","-34","21","-44","-91","0","-158","20","-98","-71","-138","43","-95","24","-14","97","88","-118","34","29","12","-7","-34","-22","-24","-27","183","130","50","-38","113","3","81","-141","-164","113","-208","54","-22","20","240","-28","-170","41","-23","95","68","39","-135","-41","191","161","-204","-74","-156","44","100","-59","-66","-22","242","27","5","40","149","-21","-93","153","-105","1","-136","18","49","-119","62","114","-84","-13","-80","74","-150","106","154","14","-254","164","-43","2","12","-233","35","26","-19","-26","70","60","172","-3","2","93","13","-8","-69","91","-41","77","-206","-8","147","139","41","184","-156","-123","-139","41","82","-21","-37","-21","66","11","-203","-31","-192","17","-219","50","-96","-135","138","99","-100","29","84","32","169","-68","-44","61","-33","63","-164","-79","129","31","-120","103","50","24","-32","74","36","-29","-94","47","109","-31","-15","70","201","-134","-190","-11","-143","145","15","112","-134","-86","105","89","81","-113","-79","82","226","41","-126","-20","185","80","-27","96","-35","-148","-1","-50","78","124","31","28","-158","85","-7","229","-139","-11","265","-12","261","-43","-25","142","-95","102","-216","89","179","-73","26","246","-13","-55","-51","46","169","-49","87","65","106","191","114","-52","-96","120","-8","14","90","89","51","51","5","-135","-55","169","135","8","-10","35","241","-84","6","27","62","78","-74","44","-34","37","199","147","-322","-37","102","122","36","-159","75","59","119","119","-57","63","201","114","154","158","-26","-23","-91","130","198","40","2","5","-144","124","-51","101","265","-34","-115","57","196","200","-303","-83","287","-93","167","116","131","-30","-22","64","22","-162","131","15","55","5","184","152","-493","-13","125","61","50","37","221","11","58","13","-31","138","27","81","-49","103","168","94","-275","201","106","96","277","46","232","-181","-9","82","-1","82","-48","144","138","-98","158","106","172","58","-117","-24","126","-40","-114","156","77","138","93","-55","150","-330","161","78","-125","73","-161","17","-48","70","92","193","-90","227","-32","57","157","50","-30","-4","-77","-24","-103","13","-40","-37","-67","-4","294","83","-148","-61","-69","-40","146","185","-142","-65","25","4","64","-152","-99","15","278","46","99","-7","-1","-81","-190","-92","22","135","-255","54","47","-68","61","-71","-245","-127","-99","3","-199","-96","77","83","-83","-52","-142","88","-28","-90","19","-94","69","-69","-177","120","-152","1","-156","40","-249","-16","139","-45","11","-81","-43","-105","-359","161","120","14","-202","-205","78","-138","171","68","-282","-14","373","-119","-71","122","18","170","-216","-2","-50","-149","109","39","27","-7","-6","-85","-207","-177","-46","14","-147","107","45","-13","153","32","130","-193","-557","51","-293","-131","274","53","4","89","168","-149","140","-66","-311","-26","-163","-7","71","99","-92","6","-387","-115","124","-53","12","-195","175","10","-235","-89","29","59","77","67","-68","210","90","-74","-92","-2","228","4","164","1","-332","-97","62","4","-308","63","-56","-98","327","32","-140","-61","291","-16","-283","-149","333","-16","-299","-30","-206","-77","163","0","177","66","-141","-13","-156","99","-66","4","71","-49","83","-107","-139","57","-57","-137","51","-341","234","-119","-193","118","-106","-40","-440","37","200","78","51","-3","-596","-213","-114","196","-164","158","377","143","16","101","-26","-185","-128","15","365","-92","143","28","-356","68","-234","-220","-244","67","-59","-36","245","-122","-27","-2","41","6","131","-210","-91"],"lmfdb":"agrees","space":"727.2.a","level":727,"weight":2,"T":[[2,1],[3,1]],"status":"proven","derived":{"al":[[727,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/727.2.a.a"}