{"label":"538.2.a.e","letter":"e","dim":7,"charpoly":["-398928","175952","37221","-28680","4150","-55","-22","1"],"traces":["7","7","1","7","7","1","6","7","12","7","-3","1","-9","6","8","7","8","12","-11","7","-6","-3","12","1","22","-9","-14","6","-5","8","14","7","-4","8","-4","12","13","-11","-18","7","12","-6","-11","-3","3","12","2","1","15","22","-26","-9","19","-14","-40","6","-12","-5","-9","8","-3","14","-26","7","-10","-4","-33","8","-64","-4","28","12","-14","13","-45","-11","10","-18","2","7","15","12","-7","-6","-16","-11","16","-3","18","3","-26","12","6","2","-34","1","-4","15","-37","22","-1","-26","-8","-9","-40","19","33","-14","3","-40","-4","6","38","-12","-2","-5","-19","-9","-26","8","-2","-3","-48","14","30","-26","4","7","8","-10","-71","-4","-24","-33","-33","8","8","-64","-24","-4","52","28","-10","12","-44","-14","46","13","-3","-45","0","-11","30","10","46","-18","47","2","17","7","24","15","7","12","60","-7","42","-6","-26","-16","1","-11","37","16","-11","-3","28","18","15","3","-17","-26","-20","12","30","6","0","2","24","-34","10","1","14","-4","21","15","29","-37","14","22","-40","-1","36","-26","-20","-8","46","-9","22","-40","-51","19","-38","33","-60","-14","-28","3","35","-40","54","-4","-10","6","27","38","25","-12","37","-2","-6","-5","38","-19","-84","-9","86","-26","-12","8","-4","-2","-11","-3","133","-48","25","14","20","30","-1","-26","2","4","4","7","34","8","-20","-10","25","-71","-16","-4","34","-24","48","-33","-7","-33","-65","8","-17","8","-11","-64","-6","-24","91","-4","84","52","-31","28","-49","-10","69","12","57","-44","-34","-14","-1","46","94","13","36","-3","18","-45","3","0","-12","-11","-9","30","15","10","6","46","24","-18","-16","47","-91","2","19","17","-1","7","8","24","90","15","19","7","-28","12","8","60","-83","-7","34","42","30","-6","60","-26","-54","-16","-7","1","-42","-11","-32","37","39","16","27","-11","-62","-3","90","28","25","18","0","15","62","3","-24","-17","-45","-26","-18","-20","-13","12","67","30","-58","6","-53","0","72","2","-42","24","-47","-34","14","10","16","1","-48","14","119","-4","63","21","68","15","-12","29","14","-37","-66","14","41","22","-4","-40","-80","-1","51","36","36","-26","120","-20","-24","-8","-33","46","-46","-9","48","22","-83","-40","-45","-51","-4","19","-30","-38","0","33","-6","-60","51","-14","-80","-28","32","3","2","35","-4","-40","-142","54","19","-4","-86","-10","149","6","28","27","-78","38","-106","25","-30","-12","36","37","-186","-2","67","-6","-16","-5","-107","38","-19","-19","-17","-84","6","-9","-76","86","-137","-26","125","-12","-18","8","-50","-4","4","-2","26","-11","64","-3","-120","133","-61","-48","-128","25","-94","14","68","20","-2","30","12","-1","2","-26","-86","2","115","4","-73","4","-105","7","-68","34","66","8","66","-20","-46","-10","-32","25","-73","-71","-165","-16","26","-4","-9","34","-135","-24","34","48","-18","-33","4","-7","32","-33","-29","-65","-94","8","12","-17","-96","8","-43","-11","-66","-64","-126","-6","23","-24","22","91","-16","-4","40","84","-50","52","2","-31","110","28","-54","-49","-95","-10","-6","69","134","12","-52","57","8","-44","-102","-34","-2","-14","-10","-1","-24","46","50","94","-6","13","-119","36","-182","-3","146","18","-14","-45","-98","3","7","0","-67","-12","15","-11","74","-9","-34","30","-63","15","-53","10","126","6","-106","46","-130","24","40","-18","129","-16","62","47","-10","-91","24","2","-40","19","-104","17","-39","-1","98","7","-24","8","47","24","-124","90","86","15","-54","19","-16","7","-37","-28","-6","12","-42","8","8","60","6","-83","114","-7","-136","34","-42","42","21","30","-24","-6","52","60","-80","-26","-33","-54","143","-16","112","-7","111","1","70","-42","172","-11","-78","-32","-59","37","-24","39","76","16","30","27","6","-11","-23","-62","-12","-3","144","90","69","28","65","25","74","18","16","0","18","15","-6","62","-11","3","-32","-24","-14","-17","-45","-45","-30","-26","-72","-18","4","-20","3","-13","106","12","-60","67","-5","30","58","-58","16","6","102","-53","74","0","68","72","66","2","35","-42","-10","24","19","-47","84","-34","-88","14","63","10","172","16","82","1","96","-48","56","14","27","119","-32","-4","-80","63","-52","21","-45","68","188","15","80","-12","-69","29","46","14","50","-37","90","-66","30","14","35","41","-4","22","30","-4","24","-40","72","-80","-1","-1","-4","51","63","36","18","36","2","-26","64","120","29","-20","1","-24","-8","-8","20","-33","112","46","-25","-46","124","-9","-134","48","46","22","-66","-83","122","-40","4","-45","14","-51","-84","-4","73","19","106","-30","34","-38","99","0","170","33","134","-6","1","-60","112","51","144","-14","-22","-80","-5","-28","-2","32","14","3","-140","2","70","35","55","-4","78","-40","-58","-142","-25","54","-32","19","-106","-4","-40","-86","-35","-10","22","149","157","6","56","28","-83","27","-14","-78","190","38","-216","-106","-97","25","-145","-30","20","-12","90","36","180","37","-13","-186","168","-2","-286","67","-52","-6","113","-16","50","-5","-182","-107","-155","38","-64","-19","-100","-19","42","-17","184","-84","-149","6","120","-9","123","-76","179","86","78","-137","-22","-26","-190","125","-32","-12","-134","-18","32","8","75","-50","-27","-4","-88","4","4","-2","2","26","1","-11","-174","64","65","-3","48","-120","11","133","47","-61","14","-48","30","-128","52","25","-38","-94","-67","14","62","68","-2","20","23","-2","-24","30"],"lmfdb":"agrees","space":"538.2.a","level":538,"weight":2,"T":[[3,1],[5,3]],"status":"proven","derived":{"al":[[2,-1],[269,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/538.2.a.e"}