{"label":"511.2.a.e","letter":"e","dim":9,"charpoly":["277","1408","-232","-1485","-143","393","37","-38","-1","1"],"traces":["9","2","-1","6","7","4","9","6","18","10","-5","-7","-1","2","-17","-8","14","-8","0","19","-1","-17","-4","-1","18","26","29","6","31","23","9","4","11","-3","7","-20","-3","-30","-14","13","59","4","-19","-6","-12","-13","26","8","9","-1","-20","-14","1","38","-39","6","-36","9","25","-23","22","0","18","-16","-5","-78","-24","-16","-10","10","-20","-7","-9","-16","20","8","-5","-45","-22","-14","61","16","23","-7","-29","-8","22","-12","25","12","-1","8","40","-39","1","-34","-7","2","-73","-24","9","-46","-27","-4","-17","-18","-7","-65","-10","7","-30","-8","7","12","-31","-10","-60","-47","14","-104","90","-3","-10","80","3","-8","-4","-25","24","1","4","13","0","-31","-14","-15","-26","0","22","19","2","-11","32","-33","7","-2","-1","-18","40","-54","-9","-17","100","-17","-22","58","21","-15","24","5","-4","-107","8","64","-86","-7","65","-1","-22","63","-49","-71","23","98","18","-35","-29","-50","43","47","55","26","23","25","90","15","-23","-13","29","-73","-23","31","-1","63","21","6","-18","47","-43","95","-91","-3","31","-76","44","-26","-105","29","100","23","-24","0","-18","62","45","-7","9","14","1","-53","-9","44","17","4","72","-21","-36","22","16","-50","11","-25","27","35","-98","27","-2","-3","20","22","-6","-8","56","-36","7","8","1","69","-32","17","4","-20","1","-1","-53","-52","-32","-14","-3","0","173","-82","-4","133","68","-30","-63","67","-8","185","-36","16","-14","62","-26","107","-12","113","6","13","74","15","-42","78","-53","47","59","39","45","-51","-124","-6","22","4","-33","-8","66","39","20","-105","-19","-31","-83","-79","26","-78","6","-6","96","63","63","72","-70","12","-12","-19","-64","1","-30","7","47","-13","-49","-30","3","90","-32","85","26","-62","-18","45","-14","70","0","8","-36","-52","-54","150","66","-37","9","-80","40","21","-28","-1","-19","-1","51","-53","10","145","2","-24","-20","-3","46","-174","-23","15","-31","-14","-7","75","-41","47","81","-58","1","-31","12","13","-113","29","2","38","-8","-88","-47","36","99","44","-39","135","-84","124","-26","-103","-56","6","34","67","-42","-68","-110","-47","-36","63","-58","-6","-69","-20","-6","9","-50","18","49","101","-67","-68","25","52","62","-86","115","127","12","-23","-49","-67","75","-4","69","6","22","30","-79","-27","-82","61","-65","0","-40","-66","11","-4","-73","-93","18","45","-102","-36","-32","-85","-117","-16","62","-66","-59","-71","-42","-30","-5","61","-38","67","144","-32","-4","-78","10","-103","-161","-66","-44","-6","-24","-59","-2","30","-58","69","-100","-16","-116","122","102","120","-21","-48","-10","45","53","56","23","-101","-25","10","84","-47","-13","122","-283","-39","-20","58","-109","26","-120","-66","-26","-7","83","-131","-101","-16","-37","48","-9","-93","-180","54","-11","50","17","-16","-44","50","184","-91","-29","-1","20","-107","-68","37","-23","-10","-3","8","-18","130","14","-11","-44","35","-5","81","-99","-57","-74","90","96","-45","23","31","42","-81","46","60","-22","-77","47","15","-15","-98","6","-14","197","140","28","64","13","-73","61","40","41","18","-16","4","152","16","-46","97","-8","90","6","-70","23","-46","30","-6","-136","-98","-41","-7","41","-175","82","-28","-40","-245","-29","93","-56","-6","-54","-41","92","-8","-71","4","44","76","-20","28","22","-84","-8","-80","-87","-87","-143","-12","66","44","21","72","-141","-19","25","-49","71","175","42","78","-53","12","17","-57","-8","81","-135","33","-1","145","12","-69","26","120","96","8","307","-57","-6","32","-71","-109","40","148","-83","87","21","-4","-18","-39","112","254","-49","-3","-73","-63","1","39","-101","106","-34","5","23","-34","-13","-77","343","-30","120","179","-7","-24","106","-130","-34","108","-7","2","-75","66","-26","-60","7","-46","-73","33","-75","66","101","28","-65","-24","31","-169","24","54","-122","224","9","157","52","84","44","-106","19","-46","203","-54","-10","179","82","-137","-27","27","-60","25","-42","54","86","-4","255","-10","-30","84","84","-124","-17","0","35","-70","129","-92","97","-18","-87","83","51","-27","142","20","-7","-53","-75","1","-59","126","-122","-65","-21","-36","131","-13","134","-89","-10","-64","-108","-33","-39","-155","-36","7","233","160","75","354","-52","-3","-30","179","-41","26","-26","-62","56","-8","-49","-2","1","-89","16","-60","7","225","25","107","119","-129","29","12","82","-137","81","-74","5","-81","-31","119","-121","124","6","48","-27","-10","-19","93","64","-5","-96","-138","-60","207","76","-138","-89","97","168","-47","-103","-7","-42","72","-85","33","14","-18","176","75","-98","-51","153","-104","120","-57","235","60","-12","-109","90","2","191","171","-53","-137","120","-3","36","-20","55","172","-17","-170","-10","-65","-79","-136","-22","-75","-27","80","-117","299","-85","-66","-131","-44","3","7","-68","-99","-35","30","54","-8","122","-86","10","44","95","-181","-4","-161","-96","-148","30","16","41","-25","37","84","42","-111","-116","-226","24","-30","-17","-277","-38","31","87","1","43","167","-65","-59","182","155","4","230","-97","113","-88","-133","-132","13","83","-128","193","-34","54","1","0","84","96","-46","-111","-23","-2","-31","-13","33","-63","-282","40","-46","-14","-161","-63","27","1","-92","-38","-15","93","263","-238","172","-97","102","-26","22","42","-56","33","56","63","0","154","-192","-32","141","34","-184","22","-156","-81","-102","135","71","-104","19","-85","155","86","-17","-79","-243","2","-72","42","152","75","-50","150","-11","56","-152","-54","-32","-30","93"],"lmfdb":"agrees","space":"511.2.a","level":511,"weight":2,"T":[[2,1],[3,1]],"status":"proven","derived":{"al":[[7,-1],[73,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/511.2.a.e"}