{"label":"501.2.a.e","letter":"e","dim":8,"charpoly":["133","-336","122","303","-305","69","21","-10","1"],"traces":["8","3","8","9","7","3","-4","3","8","-1","13","9","0","5","7","7","11","3","12","9","-4","-17","7","3","-5","3","8","-27","1","-1","-2","4","13","-14","-4","9","-9","0","0","-22","4","5","2","3","7","-5","17","7","-2","-4","11","-36","9","3","7","9","12","-29","29","9","-12","-34","-4","-5","8","-17","0","26","7","5","13","3","-20","-17","-5","30","-22","3","8","-34","8","15","33","-27","-31","11","1","-44","4","-1","1","-33","-2","-2","3","4","-31","-57","13","-26","-4","-14","-5","-9","-4","-19","18","9","-38","-19","-9","-67","23","0","13","-45","0","11","-4","-22","-1","-4","4","-10","-24","5","-31","32","2","11","14","3","-67","-49","7","10","36","-5","0","-14","17","-10","8","7","-18","6","-2","8","1","-4","-2","-31","11","59","34","-36","-41","71","9","-3","28","3","-11","-6","7","24","-8","9","-30","-81","12","18","-9","-29","-5","-12","29","14","-1","9","-5","-45","-12","9","4","-34","27","74","-4","0","12","-5","-14","36","8","76","2","-17","32","-7","0","48","13","26","-23","-33","7","10","79","5","10","3","13","29","-10","3","-36","40","-20","33","-26","-17","35","-27","-5","1","10","30","11","16","-22","-48","5","3","16","59","8","99","36","-34","6","-46","8","62","9","15","10","-59","33","50","49","-27","-21","-8","-31","-5","19","11","30","-69","1","30","-1","-44","12","55","4","40","7","-1","28","86","1","32","9","-33","-62","26","-2","93","-1","-2","15","43","3","89","8","4","25","42","-31","3","4","-57","64","-63","13","78","25","-26","-13","-69","-4","58","-23","-14","63","-68","-5","47","-19","-9","-45","-81","-4","46","13","-19","36","-31","18","-23","6","9","15","61","-38","104","-35","-19","43","21","-9","-3","58","-67","-71","4","23","-5","-62","0","-41","60","13","49","-11","-45","-11","-59","0","11","18","11","15","-36","-4","88","5","-22","-18","-7","-1","56","-149","-4","31","-15","4","35","1","-10","-29","-75","-24","51","-41","5","57","14","-31","21","-72","32","-49","-149","2","-17","4","11","5","-139","14","75","-6","3","-84","122","-67","-48","-15","-49","-25","-37","7","84","-36","10","-36","25","36","37","-83","-5","-30","37","0","-26","-2","-14","-45","-110","17","35","-94","-10","-21","178","8","-30","-66","7","-18","128","-18","-47","-61","6","58","-96","-2","19","24","8","-21","-81","1","18","57","-4","35","96","-2","73","-11","-31","-103","47","11","15","-6","59","-46","-67","34","31","-36","-36","-51","-63","-41","-49","-40","71","15","-153","9","97","44","-3","-111","-61","28","-12","-80","3","-6","102","-11","-115","-100","-6","11","95","7","23","-1","24","19","-17","-8","-37","-27","9","-76","-6","-30","-122","-51","-81","2","-38","12","-16","-3","18","-62","143","-9","-40","3","-29","-18","85","-5","6","-4","-12","-97","-85","29","-161","-14","14","-17","-69","-1","153","93","9","-28","-18","-5","29","-6","-45","19","71","-12","31","-7","9","-77","-1","4","-63","-40","-34","19","-1","27","-72","1","74","5","35","-4","-11","39","0","67","-13","12","-202","1","-5","-26","45","-14","143","-74","36","-4","75","8","-40","104","76","-58","13","2","-115","-28","-17","20","63","32","-38","56","-7","26","-45","0","83","23","48","-118","43","13","-27","-38","26","-109","51","-23","155","-15","-33","222","136","7","-21","23","10","-98","24","79","-89","11","5","-17","176","10","-55","4","3","-73","-54","13","-52","16","29","30","78","-10","-112","58","3","42","12","-36","-228","12","40","59","-20","-20","72","66","33","32","50","-26","81","-98","-17","42","-9","35","-61","-49","-27","-41","101","-5","-106","-26","1","120","-48","10","-183","71","30","73","257","11","105","52","16","66","-125","-22","141","-13","-48","-98","9","5","94","-43","3","-74","47","16","162","7","59","-39","-4","8","-63","98","99","73","8","36","44","16","-34","-78","-84","6","-36","38","-46","38","-24","8","-50","40","62","-79","123","9","-56","80","15","52","162","10","-32","-49","-59","-26","-23","33","141","-54","50","-42","154","49","-23","-40","-27","23","125","-21","-183","-39","-8","99","-75","-31","94","38","-5","62","24","19","-173","78","11","0","216","30","-120","38","-69","69","-11","1","12","90","30","54","216","-1","124","-49","-44","-107","35","12","101","-54","55","127","-27","4","-169","21","40","42","-59","7","118","6","-1","138","79","28","-115","-77","86","-18","-60","1","17","-23","32","-3","-37","9","92","82","-33","83","51","-62","63","133","26","-7","74","-2","-50","110","93","-25","-37","-1","-155","68","-2","-109","80","15","-91","9","43","-50","-91","3","83","91","89","58","-67","8","-173","3","4","34","-77","25","-94","-20","42","-8","-4","-31","3","12","3","-7","39","4","-53","39","-57","-29","-42","64","85","-121","-63","33","22","13","-78","-46","78","72","-110","25","90","110","-26","75","43","-13","-87","-61","-69","56","-230","-4","-71","-50","58","4","42","-23","-27","120","-14","26","75","63","-119","-86","-68","-16","-321","-5","-191","159","47","107","-104","-19","15","-63","-9","-105","31","-45","13","56","-81","-28","86","-4","-20","-45","46","-95","58","13","-11","0","-19","107","177","36","9","-218","-31","168","-104","18","-122","-40","-23","39","-169","6","-98","-26","9","160","-87","15","39","138","61","123","68","-38","-296","-47","104","-46","-125","-35","-36","19","-19","-53","-195","43","28","-21","21","93","136","-9","122"],"lmfdb":"agrees","space":"501.2.a","level":501,"weight":2,"T":[[2,1],[5,1]],"status":"proven","derived":{"al":[[3,-1],[167,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/501.2.a.e"}