{"label":"478.2.a.b","letter":"b","dim":4,"charpoly":["79","116","60","13","1"],"traces":["4","4","-6","4","-7","-6","-6","4","4","-7","-3","-6","-9","-6","2","4","-14","4","-16","-7","5","-3","-5","-6","9","-9","-9","-6","-2","2","-7","4","6","-14","0","4","8","-16","23","-7","1","5","0","-3","21","-5","-7","-6","24","9","21","-9","0","-9","7","-6","41","-2","0","2","9","-7","-4","4","16","6","-14","-14","10","0","3","4","19","8","5","-16","-21","23","15","-7","24","1","-34","5","17","0","-15","-3","-10","21","-8","-5","13","-7","2","-6","13","24","10","9","-18","21","-8","-9","46","0","-31","-9","28","7","-7","-6","10","41","25","-2","-45","0","51","2","25","9","28","-7","-15","-4","-9","4","30","16","-16","6","15","-14","-28","-14","-15","10","15","0","-9","3","-33","4","15","19","-54","8","-36","5","-8","-16","-29","-21","16","23","-43","15","-35","-7","-40","24","-1","1","-43","-34","11","5","39","17","-57","0","-14","-15","-8","-3","-9","-10","11","21","0","-8","-7","-5","11","13","-42","-7","56","2","-25","-6","31","13","-9","24","-24","10","-29","9","13","-18","34","21","-39","-8","-5","-9","61","46","-28","0","19","-31","-70","-9","13","28","-68","7","54","-7","24","-6","-39","10","-16","41","-26","25","46","-2","-13","-45","47","0","-28","51","4","2","15","25","-18","9","-28","28","13","-7","38","-15","-17","-4","15","-9","38","4","-33","30","-77","16","52","-16","-39","6","35","15","-41","-14","11","-28","14","-14","13","-15","39","10","-37","15","-32","0","6","-9","23","3","-10","-33","-23","4","26","15","-39","19","-41","-54","47","8","-62","-36","50","5","55","-8","13","-16","-64","-29","-23","-21","-9","16","17","23","28","-43","-123","15","-22","-35","8","-7","38","-40","26","24","-53","-1","10","1","-33","-43","12","-34","-7","11","-4","5","27","39","39","17","-71","-57","27","0","-55","-14","19","-15","-42","-8","69","-3","48","-9","-17","-10","-85","11","0","21","70","0","4","-8","24","-7","-14","-5","-80","11","50","13","-14","-42","11","-7","-51","56","37","2","34","-25","15","-6","52","31","-95","13","17","-9","-5","24","18","-24","-36","10","58","-29","-62","9","13","13","92","-18","20","34","-36","21","17","-39","34","-8","-77","-5","96","-9","-32","61","8","46","-118","-28","84","0","-54","19","51","-31","-1","-70","104","-9","8","13","12","28","10","-68","-40","7","83","54","-34","-7","83","24","20","-6","65","-39","37","10","-38","-16","71","41","-18","-26","99","25","32","46","55","-2","19","-13","-92","-45","137","47","77","0","20","-28","55","51","90","4","41","2","82","15","100","25","-8","-18","-74","9","11","-28","-63","28","7","13","67","-7","-54","38","-2","-15","-45","-17","-20","-4","56","15","-75","-9","37","38","-12","4","56","-33","57","30","120","-77","34","16","-14","52","64","-16","-71","-39","77","6","-27","35","37","15","11","-41","76","-14","-35","11","6","-28","9","14","10","-14","-135","13","47","-15","2","39","-15","10","36","-37","-56","15","-65","-32","-45","0","39","6","-22","-9","-47","23","-173","3","-5","-10","-40","-33","64","-23","-40","4","-24","26","-64","15","17","-39","-60","19","-29","-41","39","-54","-32","47","37","8","-5","-62","-45","-36","-17","50","26","5","77","55","-25","-8","-82","13","-4","-16","-17","-64","-75","-29","10","-23","1","-21","38","-9","-133","16","-30","17","57","23","-18","28","-19","-43","-28","-123","-95","15","19","-22","33","-35","-117","8","-65","-7","-2","38","-75","-40","90","26","-48","24","2","-53","-15","-1","6","10","51","1","125","-33","32","-43","-29","12","-88","-34","121","-7","-35","11","46","-4","85","5","-26","27","21","39","-116","39","17","17","-40","-71","-2","-57","-27","27","130","0","-25","-55","8","-14","-92","19","1","-15","-26","-42","45","-8","30","69","-82","-3","-99","48","5","-9","-11","-17","9","-10","30","-85","43","11","-6","0","-28","21","-46","70","22","0","-21","4","-66","-8","-17","24","15","-7","-10","-14","10","-5","-93","-80","17","11","-147","50","12","13","35","-14","5","-42","16","11","-14","-7","-14","-51","59","56","-19","37","-65","2","75","34","-1","-25","-156","15","66","-6","61","52","56","31","12","-95","-82","13","155","17","93","-9","-4","-5","-43","24","69","18","57","-24","12","-36","-128","10","-170","58","30","-29","-35","-62","-73","9","153","13","-82","13","70","92","-63","-18","-1","20","-9","34","5","-36","27","21","125","17","64","-39","14","34","-29","-8","41","-77","-109","-5","-84","96","90","-9","-99","-32","-10","61","87","8","80","46","-48","-118","-12","-28","-80","84","-58","0","-89","-54","85","19","-22","51","-37","-31","26","-1","-1","-70","-52","104","52","-9","-2","8","-39","13","-86","12","11","28","64","10","113","-68","-48","-40","48","7","2","83","48","54","-96","-34","-115","-7","-115","83","89","24","56","20","-5","-6","-85","65","-34","-39","45","37","-240","10","-50","-38","-54","-16","39","71","55","41","2","-18","63","-26","6","99","-129","25","65","32","68","46","-62","55","90","-2","56","19","-109","-13","27","-92","88","-45","58","137","-65","47","-15","77","5","0","70","20","127","-28","-31","55","87","51","-11","90","18","4","-8","41","142","2","-3","82","7","15","-63","100","-5","25","-166","-8","-130","-18","-111","-74","3","9","32","11","-22","-28","-153","-63","-10","28","-11","7","152","13","-90","67","-36","-7","-34","-54","161","38","50","-2","-33","-15"],"lmfdb":"agrees","space":"478.2.a","level":478,"weight":2,"T":[[3,1],[5,1]],"status":"proven","derived":{"al":[[2,-1],[239,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/478.2.a.b"}