{"label":"417.2.a.e","letter":"e","dim":7,"charpoly":["58","154","59","-94","-70","-2","7","1"],"traces":["7","-3","-7","7","-4","3","-9","-12","7","-5","-4","-7","-4","-9","4","7","-15","-3","-2","-17","9","7","-22","12","7","-10","-7","-8","-12","5","-9","-27","4","7","-10","7","4","-21","4","10","-5","9","-11","7","-4","3","-38","-7","14","8","15","0","-20","3","-37","13","2","18","-1","17","15","34","-9","22","7","-7","-11","6","22","53","-14","-12","-12","52","-7","49","0","10","-6","31","7","-11","-32","8","37","49","12","24","-9","-5","11","-7","9","41","-10","27","19","39","-4","14","2","-7","-29","22","10","18","13","-7","47","33","-4","17","-17","21","-22","-26","-4","-52","-15","-10","29","12","5","-1","-15","-9","-58","-1","11","0","-10","-7","1","-13","4","-53","-25","-3","-7","36","38","24","-58","7","-7","11","-14","-35","-9","-8","23","-34","-15","-81","-13","0","5","21","20","7","29","-3","8","29","37","-7","1","-13","49","-7","-2","-102","-8","-18","-40","-47","1","-27","7","-17","34","86","-15","70","-41","-34","-1","-80","9","-29","-34","-22","-30","-21","-7","-46","14","7","-16","8","11","-27","58","-6","36","-14","-22","-54","36","-53","-32","34","14","22","17","12","-39","-37","12","-93","-78","-52","-49","34","7","35","42","-49","-22","43","0","-28","6","-10","31","1","6","12","54","-31","46","36","-7","-51","4","11","-30","-1","32","47","-19","-8","56","21","-37","13","9","-49","10","26","-12","-47","-46","-24","-28","-5","9","-8","-10","5","-61","101","-11","-14","81","7","64","3","-9","-11","4","-41","-10","-40","10","-92","-13","-27","56","70","-19","-35","-11","-39","27","61","4","-85","90","-14","55","5","-2","89","15","7","10","-18","29","-46","-43","-22","-15","48","-10","-151","-10","-18","-45","88","-13","23","27","7","-13","-72","-47","-60","71","-33","31","-29","4","46","3","-17","29","87","17","64","8","-21","-33","69","22","-32","14","26","66","-72","4","67","41","52","3","-20","15","11","-43","10","-7","14","-29","46","42","-12","-28","-115","-5","-156","2","1","48","89","15","79","17","9","100","39","58","52","-25","1","112","-106","-11","100","30","0","-49","109","10","91","126","7","12","-71","-1","-84","93","13","37","9","-4","14","-3","53","56","-65","25","29","74","3","93","38","7","161","-20","-36","96","115","-38","-36","-34","-24","-96","104","58","19","-43","-7","-77","-21","7","82","10","-11","102","42","14","26","34","35","90","-91","9","-39","-108","8","-66","-124","-23","1","-73","34","53","-1","15","-33","21","81","-93","-10","13","-88","-55","0","56","-3","-5","-39","-25","-21","-10","19","-20","-32","-13","-7","-58","-123","-29","124","-53","3","11","77","-8","-123","73","-29","48","-36","-37","-96","-25","7","-46","-65","-1","112","12","13","24","-103","-49","-149","-100","7","-45","28","2","-76","17","102","-35","-103","8","126","-64","18","23","-63","40","-80","32","47","29","-30","-1","-104","10","27","-42","-53","-7","-7","85","17","-30","162","-34","-14","-125","-86","9","-59","15","-38","-108","-70","-60","97","41","-7","-34","34","-100","-89","1","33","-48","80","7","-117","-9","108","-148","29","-11","-20","34","67","54","22","-10","-93","30","24","-23","21","44","118","7","-10","-22","46","-33","186","-14","-86","9","-7","39","82","16","-24","-8","-8","26","-48","-11","40","-142","27","-12","-181","-58","110","0","6","-25","-1","-36","-21","-6","14","29","-25","22","-134","-5","54","-89","103","-36","-57","-56","53","26","222","32","61","89","-34","-110","-224","-14","-189","-56","-22","-55","44","-17","-59","-105","-12","-19","-122","39","184","-13","37","67","117","-12","42","28","93","-36","-28","78","18","103","52","-4","-2","49","187","47","-34","8","12","-7","-121","-85","-35","61","-177","-42","-26","73","49","-8","-57","22","-53","-4","-43","-5","106","0","99","4","28","85","-107","-6","28","23","10","35","-254","-31","24","1","-1","65","-22","-6","-37","63","-12","108","24","-54","115","-109","31","16","44","-46","10","-44","-36","-151","-160","7","-109","57","51","-77","-34","-4","159","26","-11","52","111","30","-26","68","1","-69","-63","-32","-174","-82","-47","-10","-51","19","188","31","8","28","-65","-56","-60","-17","-21","53","-129","37","-8","-2","-13","7","155","-9","126","-59","49","49","-227","-10","-97","62","-26","4","101","12","-127","-85","47","-42","-117","46","-33","24","24","80","-35","28","37","-22","5","93","96","-9","-42","30","8","59","-14","10","112","-3","-5","45","94","61","160","-34","-101","-123","155","11","129","-15","14","-122","27","-81","77","-22","-7","-98","53","-64","84","-37","-3","108","-105","9","-29","-8","11","33","-119","-4","-33","86","41","-101","-2","10","120","-69","40","88","-11","-10","-194","36","92","-97","72","13","166","94","27","-21","-21","-56","25","3","-70","-45","-77","19","167","114","35","-4","-61","11","-7","-75","39","-50","-2","-27","-135","24","-61","64","87","-4","26","-51","85","-133","129","-90","97","47","14","86","143","-55","163","53","-5","-34","61","2","-56","-30","-89","-69","-130","-15","-47","73","-7","14","148","-10","238","140","18","-67","61","-29","164","12","46","31","122","43","164","73","22","-133","6","15","168","26","-48","-46","128","10","-109","29","151","0","128","10","107","7","18","3","-46","45","-27","157","-88","-82","20","13","211","11","-23","-104","-128","-27","-23","63","-7","9","107","13","-232","24","72","-6","-68","47","-45","-23","60","72","-80","-71","-146","-103","33","71","79","-31","42","226","29","13","-114","-4","78"],"lmfdb":"agrees","space":"417.2.a","level":417,"weight":2,"T":[[2,1],[5,1]],"status":"proven","derived":{"al":[[3,1],[139,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/417.2.a.e"}