{"label":"249.2.a","level":249,"weight":2,"dims":{"new":13,"cusp":27,"eisenstein":3,"modsym":57},"old":[[83,7,2]],"T":[[2,1],[5,3]],"status":"proven","checks":["dim M^+ at levels [1, 3, 83, 249]: [0, 1, 8, 30] (certified at ell = 2147483323)","T = [(2, 1), (5, 3)]; h of degree 13 = 1 x 13 (phi(ord eps) x dim S_k^new); 2 primes, 0 rejected"],"newforms":[{"label":"249.2.a.a","letter":"a","dim":1,"charpoly":["-2","1"],"traces":["1","-1","-1","-1","1","1","0","3","1","-1","-3","1","-6","0","-1","-1","-4","-1","-7","-1","0","3","5","-3","-4","6","-1","0","8","1","-10","-5","3","4","0","-1","7","7","6","3","-2","0","4","3","1","-5","-12","1","-7","4","4","6","9","1","-3","0","7","-8","-1","1","11","10","0","7","-6","-3","-5","4","-5","0","-4","3","12","-7","4","7","0","-6","-4","-1","1","2","-1","0","-4","-4","-8","-9","-9","-1","0","-5","10","12","-7","5","-2","7","-3","4","9","-4","5","-18","0","-9","18","1","-5","3","-7","0","0","-7","5","-8","-6","1","0","-3","-2","-11","2","10","-9","0","-14","3","-4","6","-16","-3","0","5","-1","-12","-2","5","7","0","12","4","18","-1","8","-12","7","-7","-10","-4","-6","-21","-4","0","-10","-6","-14","4","-9","-5","0","-1","8","2","3","1","15","0","23","4","-7","-4","24","8","0","3","1","9","-6","-1","-8","0","-11","15","7","-10","12","12","0","7","0","-7","5","2","6","7","8","3","0","-12","5","-9","0","-4","-2","-5","5","6","21","0","-5","-9","4","-18","4","-3","0","5","-12","3","24","7","8","0","-4","0","-1","-7","-19","-5","0","24","21","6","-12","1","4","0","-14","1","-7","2","-1","-11","-7","-2","42","-30","1","9","2","0","-15","14","4","-17","-3","4","0","6","8","16","-24","9","9","0","9","5","10","1","25","4","0","2","12","5","-17","-7","-10","0","-27","-12","23","4","7","-18","0","-5","-1","-8","2","-12","-18","-7","-1","21","3","10","-30","-4","0","6","-9","7","11","4","-19","0","-5","10","-30","18","-22","14","0","4","12","9","-24","7","-18","0","28","-1","24","-8","5","-6","0","-3","-25","1","7","-15","-5","0","-22","-23","0","4","30","7","0","12","-5","-24","-4","8","-10","0","6","15","-4","-1","-4","9","0","6","0","3","30","8","2","0","12","11","-17","-5","-2","-7","0","-10","-29","-12","9","-36","-48","0","-20","7","14","0","28","-3","0","-5","4","2","10","-6","-20","-21","16","-8","-4","3","-7","0","0","4","18","-5","60","-9","1","0","-21","12","33","2","2","-5","0","-5","-1","30","-7","-21","-9","0","28","5","-12","27","16","-4","0","-18","-18","-4","-3","1","-22","0","-8","5","-35","12","31","-9","-7","-24","1","7","-9","-8","10","0","-5","4","6","0","6","1","0","21","-36","19","4","-5","5","0","-14","-8","10","-21","0","6","0","12","14","-3","-12","-4","28","0","9","14","36","5","-42","7","0","2","-2","1","-13","33","-8","7","20","-2","-32","-42","-3","10","0","-1","-12","9","-15","-2","-24","0","9","15","-23","14","0","-4","0","11","7","3","5","4","36","0","-24","-18","22","-8","14","16","0","24","40","-3","2","-9","-1","0","12","-9","18","-15","6","-10","21","1","-26","-25","8","20","-5","0","34","2","11","-12","-56","-15","0","17","-7","-7","-2","10","-24","0","-12","27","3","-12","0","-23","0","-12","9","-7","13","-18","0","0","-20","7","12","1","-5","-8","0","-2","-27","36","-6","18","-12","-7","70","1","-8","-7","36","-3","0","10","0","30","-6","12","0","0","-5","6","-2","9","-12","35","0","-11","72","4","-38","19","2","0","26","5","14","10","-5","30","0","-6","11","22","-21","14","-28","0","15","-12","5","-12","-14","9","42","24","-4","3","-37","18","-1","0","-4","-28","-48","3","3","-24","0","-8","-27","-5","-16","2","12","0","-9","-3","18","25","-24","-3","0","-7","40","-15","-8","5","-33","0","37","22","4","-23","25","0","0","-12","1","-30","34","7","-2","0","19","-4","-54","5","-8","-24","0","4","7","-24","8","10","-21","0","-20","-6","-49","-21","12","4","0","-1","-24","4","-4","-27","-50","0","18","6","14","0","-46","-1","0","-30","7","8","-32","-2","2","0","1","-12","-16","11","-22","17","7","-25","15","2","32","-7","-42","0","-12","30","-10","29","-1","-12","0","-9","-14","12","-2","48","-6","0","11","20","15","-21","-33","-14","0","0","-4","-28","6","17","14","0","3","-5","-36","-4","40","-6","0","-10","14","-6","12","20","-8","7","-14","-16","16","-8","24","4","0","-9","-66","7","-9","0","-3","0","48","20","-9","-18","-36","-5","0","-60","-10","27","14","-1","28","0","-25","21","8","-4","-28","-33","0","2","-41","-2","9","15","-12","0","22","-5","-30","1","17","-42","28","7","15","-21","10","9","48","0","35","-28","27","5","23","12","0","-9","-23","-16","35","-4","-53","0","-7","54","20","18","50","-4","0","3","-17","5","24","22","1","0","12","8","30","-15","-2","35","0","12","-14","-31","18","3","30","7","17","-24","1","-1","42","-21","0","9","-3","-8","84","-10","-6","0","30","5","-80","4","-36","-6","0","0","-8","-6","-38","1","9","0","-9","-7","3","36","-11","19","0","-4","5","15","19","-5","24","0","-28","14","5","-40","-14","-10","49","-21","30","0","12","-18","-6","0","22","12","50","-14","-10","1","0","12","-4","-4","-72","-28","-12","0","-36","-9","0","14","24","-36","0","-7","69","42","18","7","5","0","31","-6","-28","2","14","1","0","13","-24","-11","44","8","27","7","-5","-20","-29","6","8","32","0","-42","20","3","4","50","25","0","0","-1","42","12","-7","-27"],"lmfdb":"agrees","curve":{"cremona":"249a1","lmfdb":"249.a","ainvs":[1,1,1,-55,134],"rank":1,"torsion":1},"derived":{"al":[[3,1],[83,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"249.2.a.b","letter":"b","dim":1,"charpoly":["2","1"],"traces":["1","1","-1","-1","-1","-1","-4","-3","1","-1","-3","1","2","-4","1","-1","4","1","-1","1","4","-3","-3","3","-4","2","-1","4","4","1","-6","5","3","4","4","-1","-9","-1","-2","3","-2","4","4","3","-1","-3","8","1","9","-4","-4","-2","7","-1","3","12","1","4","-9","-1","-13","-6","-4","7","-2","3","5","-4","3","4","0","-3","-12","-9","4","1","12","-2","-12","1","1","-2","-1","-4","-4","4","-4","9","9","-1","-8","3","6","8","1","-5","-6","9","-3","4","-17","-4","-5","-6","-4","7","6","1","11","3","9","4","12","1","3","-4","2","-9","-16","-3","-2","-13","2","6","9","-4","6","-3","-4","-2","-16","-3","4","5","1","-12","-6","3","17","-4","-8","0","-6","-1","-4","-12","-9","9","2","4","-18","3","4","12","6","2","-6","-12","-7","-5","12","1","24","2","-3","-1","-17","-12","-9","-4","-1","-4","0","-4","16","3","9","9","18","1","16","-8","13","9","9","6","-12","-8","4","1","-24","-7","-11","-6","2","-9","0","-3","-4","12","-5","-17","-16","4","2","-5","-3","-2","3","-4","13","-7","0","6","-4","3","24","11","12","-3","8","9","-8","-20","-4","12","-1","-1","29","3","-12","-12","19","2","-8","9","12","-16","26","-1","17","-2","-1","13","-9","2","-2","18","1","9","-2","4","9","6","4","-17","27","-4","36","2","4","-16","12","-9","-7","4","-9","-5","-26","1","-17","-4","8","-6","12","-3","7","17","-6","-12","-5","-8","1","0","-1","-6","8","5","-1","-4","6","12","-34","-9","9","27","3","2","-6","-4","-16","-18","17","1","13","4","-5","-12","5","6","6","6","-6","-6","4","12","12","-7","-12","-7","-6","12","-4","-1","-8","24","-11","6","-32","-3","-23","1","-9","-17","-5","-4","14","-9","-12","4","18","-1","-8","-12","-3","0","-16","4","-26","16","-2","-15","0","9","0","-9","16","18","-24","3","-18","16","2","8","12","13","1","3","-2","9","-28","-6","-13","-12","-9","-24","8","4","-20","-1","-6","-24","28","3","-12","-11","4","6","30","2","-12","-27","16","0","12","3","-23","-4","-4","4","-30","-5","-12","17","-1","-16","27","12","-31","2","6","5","36","-3","1","10","-17","3","15","4","8","13","8","-21","-16","0","52","-6","6","-4","-19","1","-10","24","4","-11","3","12","-7","-9","9","8","9","-9","-9","-8","-2","-28","-35","-4","6","-12","18","-1","8","-3","40","29","-4","-3","3","-12","-14","-4","-6","19","20","-2","-20","-8","6","27","-12","12","4","16","7","26","-12","5","-18","17","-12","2","6","-1","-43","39","-24","-9","12","-2","16","-2","3","6","0","1","24","-9","17","-2","8","12","17","9","9","-6","-24","4","48","-11","1","27","5","4","-24","36","0","6","-38","4","38","16","-16","12","-24","-3","-14","-7","-9","-4","-4","-9","-6","-15","-18","-26","-27","-1","42","-17","-16","20","-11","8","22","6","-13","12","-4","-9","48","7","-9","-17","18","-6","8","-4","12","-5","-29","8","-12","1","-4","0","-25","-1","19","6","24","8","12","7","-20","-1","11","4","4","6","-21","36","-2","-34","-28","9","6","9","0","9","12","3","16","-2","4","-6","-14","-12","20","-16","5","18","2","17","-20","-5","16","13","16","-4","-26","-5","-2","-36","-18","5","-2","-6","3","6","-36","2","11","-6","-3","6","-36","4","49","36","-13","12","-6","7","18","-12","0","3","13","-6","1","-12","4","-4","-8","-3","27","-8","-24","-24","-13","-11","16","2","-12","-32","-9","3","-22","-23","-8","3","-4","-9","-12","17","8","-5","39","20","-19","14","4","9","39","-12","24","12","1","18","22","1","6","-8","-29","-4","14","-3","-4","0","12","-16","-17","12","-8","-26","-19","-16","24","-2","9","-21","8","0","68","-9","-40","0","-12","-27","18","16","6","-18","-26","-24","-38","1","20","-18","-17","-16","-16","2","-2","24","1","12","16","-13","-30","1","9","-15","-15","-2","44","-9","2","-28","16","-18","-2","-13","-1","12","-24","-9","-22","-8","2","8","18","-4","19","-20","-9","-3","9","-6","-44","24","-4","28","-18","17","2","-12","-27","11","32","4","24","18","-36","30","2","-2","0","-12","-4","-9","6","16","28","0","-12","12","-48","9","-26","-23","7","4","-37","-4","32","-20","9","-30","36","5","-12","-12","26","51","-6","-1","4","16","17","27","-24","4","-4","-31","-8","-2","-15","6","-1","15","-12","36","-18","3","14","1","-7","14","36","-17","17","-3","6","15","-16","12","-13","8","5","-13","9","8","8","-7","-1","-16","27","0","3","52","1","-18","28","6","6","4","-8","-19","7","-5","0","-10","1","-24","36","4","10","-33","-6","3","-36","-12","-14","-7","34","-3","-14","9","-1","-8","-9","9","38","-27","-24","-9","-3","8","-8","-2","-18","12","6","-35","-24","4","28","6","16","-36","-16","18","10","1","-17","8","23","-1","3","40","-13","-29","64","-4","-5","-9","5","3","0","12","36","-14","-5","20","6","-6","-9","-19","-6","20","12","-6","-2","-20","6","8","54","6","6","9","-4","-12","48","-12","-24","4","-12","48","-32","7","24","-26","12","-12","24","7","5","-18","6","-17","11","-12","-31","6","4","6","-30","1","-68","-43","8","13","60","-24","-27","9","11","12","-21","-6","0","16","32","2","-12","3","-16","-30","23","0","4","-1","-6","24","9","-27"],"lmfdb":"agrees","curve":{"cremona":"249b1","lmfdb":"249.b","ainvs":[1,1,0,2,1],"rank":1,"torsion":1},"derived":{"al":[[3,1],[83,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"249.2.a.c","letter":"c","dim":2,"charpoly":["92","20","1"],"traces":["2","-2","2","2","-6","-2","-4","-6","2","2","-6","2","0","4","-6","6","0","-2","-2","2","-4","14","-2","-6","12","0","2","-4","-12","2","-16","6","-6","-16","12","2","-2","6","0","14","-8","4","12","-22","-6","18","-8","6","-6","12","0","0","-2","-2","10","12","-2","12","18","2","10","16","-4","-14","0","14","-2","32","-2","-4","-12","-6","4","2","12","-10","12","0","4","-18","2","0","2","-4","16","-12","-12","26","-6","2","0","-34","-16","0","2","6","0","6","-6","-36","30","-16","-2","0","12","-18","8","2","-10","-22","-2","-12","-8","6","-10","-12","0","-34","0","14","12","-2","-8","-16","-30","4","-4","10","12","0","-8","-22","4","14","-6","-16","0","18","-18","-4","-8","-12","0","6","36","-20","-6","-2","24","12","-12","10","0","-28","48","0","20","28","-2","-22","4","-2","-4","8","10","-2","-26","12","-26","32","-2","12","4","12","-24","-18","18","42","-12","2","0","0","10","22","6","16","-32","8","-4","-10","-8","-14","38","-24","0","-6","-32","14","-32","-12","-2","-34","24","32","32","6","-2","0","14","-4","-22","38","-12","-16","-36","-6","32","-22","4","34","0","2","-12","-12","12","48","26","-10","26","-34","12","36","18","0","32","50","4","32","-4","-18","10","-60","2","-6","18","0","0","48","2","-46","0","-4","38","-20","16","-26","-6","-12","4","0","-12","-8","-24","26","26","-12","-6","-26","-24","2","-22","0","0","24","12","-34","-22","-18","-16","-28","14","0","-34","36","2","0","16","6","30","-12","0","36","-12","6","-38","6","-6","0","0","-36","-24","36","30","-6","-38","-16","30","44","-2","-16","-40","0","20","-52","12","-60","-16","-18","36","34","8","-36","-16","2","0","52","-10","16","16","-22","22","2","-2","34","-6","-12","12","26","-8","-80","48","6","40","-36","-10","52","24","-12","-28","-24","0","-10","-12","-34","60","-78","0","28","-16","14","-32","48","12","0","4","-2","-2","-6","-8","-2","4","-16","-22","80","-30","16","0","4","28","18","-4","-56","-48","10","-20","-46","12","48","24","0","-64","18","-8","64","-44","-22","22","24","4","36","24","14","0","38","-6","-24","6","-16","-42","8","0","-10","-36","18","-6","0","-18","-34","-18","-4","-4","2","-8","-14","-96","-12","-20","24","0","12","6","6","48","-32","36","54","18","-20","-10","-42","-6","0","-2","-2","-18","-36","24","28","2","12","8","-88","-12","-58","0","10","-20","-26","0","78","30","-28","52","-36","48","-6","-4","0","4","8","20","-70","-36","28","12","-64","-2","36","0","-22","0","6","4","108","24","-2","34","-22","-4","-6","-8","8","0","0","10","-48","24","-2","-68","122","-26","72","60","12","-86","-94","-26","44","-36","32","-8","54","-2","2","2","12","8","-4","4","0","8","12","-4","24","-24","80","0","-18","20","38","18","20","0","42","-16","18","-12","64","18","2","-16","42","0","-16","62","0","36","-48","10","-36","12","22","-8","-2","6","54","24","16","0","36","-32","-66","30","8","-16","-2","-4","12","-30","-10","-38","0","-8","0","84","-14","-44","-30","38","-12","-4","-24","-34","-28","0","44","32","-6","16","50","-32","-6","-36","14","-32","-24","-32","0","-40","-12","-12","24","-2","-60","12","-34","-28","-2","24","-6","0","32","8","6","32","-52","-12","6","-40","-16","-2","48","12","0","106","-4","14","84","0","-4","2","20","-22","48","36","38","0","-84","-12","14","-2","-16","-74","68","-36","32","-4","-6","-86","0","32","-100","22","-22","40","-24","4","0","66","34","48","-58","0","-6","-4","2","12","-42","-12","-26","-14","-12","-46","-36","12","-26","14","48","0","0","26","-112","-36","-10","-24","-40","26","36","0","-34","-8","-108","12","-48","90","36","32","-20","18","72","60","0","2","58","32","-4","-60","50","-36","36","4","54","16","32","0","-44","-4","48","-24","-18","4","24","10","-96","-72","-60","-24","0","2","36","0","-6","-20","30","18","10","30","0","-12","-2","0","36","-36","48","-96","30","2","-128","-16","-46","0","-24","0","0","12","-4","30","-76","38","-14","30","-20","20","120","16","32","0","-26","-20","44","-6","54","-72","-12","-96","-24","4","-32","0","0","-12","80","-12","-18","-28","-8","-40","-96","-24","-60","16","26","0","18","26","-16","-54","-12","32","60","-6","-80","-44","-26","20","0","-24","-94","0","2","-4","24","-22","-14","-36","0","-12","18","0","-48","38","24","-10","10","12","68","24","-34","40","2","-22","0","0","-18","70","54","-16","-6","-48","-28","14","28","14","18","78","0","-24","-6","-34","0","2","36","46","4","2","-32","0","0","-16","12","16","10","-26","6","-68","-24","30","32","52","-12","0","-2","0","-38","60","36","20","54","-12","30","-8","6","-50","0","-38","-14","48","6","8","-78","-6","84","0","0","20","-20","0","50","96","-36","80","-16","-24","64","-48","36","44","90","30","0","22","-6","-6","76","-38","26","16","-16","10","-14","30","-50","0","44","-12","-20","-2","-36","-36","-16","6","-6","-40","-4","48","0","-32","-28","20","-48","-4","-52","-24","54","12","84","-8","-60","0","-12","-16","32","-12","-18","88","-68","36","-32","0","34","66","0","8","-22","-106","-36","18","-84","-16","48","0","2","36","-54","0","30","28","52","90","-6","-10","24","78","16","64","96","16","0","-12","-22","88","-48","22","24","104","2","-20","68","-2","14"],"lmfdb":"agrees","derived":{"al":[[3,-1],[83,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"249.2.a.d","letter":"d","dim":4,"charpoly":["224","-304","128","-20","1"],"traces":["4","2","4","4","6","2","0","0","4","-8","4","4","-6","-2","6","-4","0","2","-2","4","0","-4","8","0","0","4","4","-16","0","-8","8","2","4","4","2","4","-16","-4","-6","-4","-8","-2","-10","0","6","-6","16","-4","-12","-42","0","-14","12","2","12","-10","-2","-2","20","4","-12","2","0","-24","-16","-4","-20","-12","8","12","14","0","-22","22","0","16","4","4","6","-10","4","30","-4","-16","-4","-20","0","-22","-4","-8","8","12","8","16","0","2","6","-2","4","8","24","4","10","-12","2","16","14","4","-12","-16","-16","12","-8","-4","22","28","-6","2","12","-4","0","-8","-8","36","12","-2","-8","-8","-10","34","12","0","-18","8","6","12","10","-6","16","-18","16","48","10","-4","2","4","-12","8","6","-42","0","28","0","26","14","-14","-8","-20","12","36","-4","2","14","-36","12","-2","16","-10","-24","20","-2","22","-32","-2","-8","-40","20","24","-20","4","28","8","-12","36","-54","2","-36","36","0","-20","-24","-24","-24","-92","-16","-24","20","-4","44","-6","-20","60","-28","-12","-46","64","8","-2","-40","12","46","-14","14","12","0","0","-28","-46","-22","30","-8","22","6","6","0","12","-36","16","-36","-40","4","-2","-22","4","16","44","6","-16","-4","-10","-32","28","4","16","-22","30","-28","-2","-4","-52","22","-16","-60","24","-4","20","-26","-20","-24","-24","0","-8","-28","-22","8","-24","-4","-70","6","-8","56","48","8","8","20","12","-52","20","8","0","-40","16","-8","18","0","56","28","2","-20","-32","6","-54","20","-2","38","40","4","-84","-58","8","-32","100","24","22","-16","4","34","24","10","-48","78","-12","-20","24","2","-26","52","16","32","-44","14","-30","20","4","-36","48","-12","-26","-20","-16","24","-4","-16","36","-48","12","-20","-30","-8","-44","40","-4","12","-12","22","10","-16","28","4","48","-6","20","76","2","-20","54","12","-72","28","-4","-16","24","0","40","-48","-8","64","56","-8","68","26","36","28","-28","12","32","0","-2","30","12","-8","32","-12","-8","-18","40","-10","-46","10","34","64","12","12","-32","32","0","-8","28","-18","-28","12","8","-12","86","6","4","-72","12","36","112","10","52","-24","-6","-6","-24","16","-88","-24","-18","-18","-4","16","-40","-28","48","-28","-94","10","-42","76","-4","66","0","2","-32","78","4","24","-4","-12","-44","-52","8","-32","-84","6","20","-20","-42","16","32","0","34","8","28","-34","-70","0","0","28","26","32","-60","14","-72","-46","-14","50","-36","-8","-24","46","-20","30","-36","12","-84","16","36","14","-34","-4","12","104","2","18","-2","14","44","-24","-36","-60","-34","12","-68","-4","-2","4","86","16","12","30","-10","-12","-136","-24","-128","-20","20","32","-38","-2","4","-44","22","-28","-62","-32","6","28","-2","-76","-16","-8","-92","-60","-40","80","22","20","-30","72","24","16","-16","-20","72","-48","4","-22","-4","28","-12","22","8","-20","-74","-12","-66","-2","36","32","-144","-54","46","24","2","12","38","-36","-68","-20","36","-28","52","0","40","26","-20","-32","10","-24","-4","44","-24","58","-18","-24","62","0","-92","66","12","-16","-100","4","-24","-6","-80","20","48","-40","-4","40","18","44","-40","26","-6","34","32","-20","24","-28","60","-32","8","-28","-8","-48","-12","18","52","-46","18","12","64","36","70","8","24","-58","-2","76","56","-40","-40","32","12","134","-52","46","-36","-40","-14","10","2","14","12","18","12","-16","-100","0","60","42","0","92","104","-28","62","96","-46","32","12","-22","-48","-96","30","34","-4","-8","0","-12","22","-60","112","6","126","20","6","-64","-64","0","4","-16","12","52","0","-36","-6","-44","16","12","4","-36","-78","32","-40","32","-80","4","36","12","-2","4","8","-22","20","-8","4","58","48","16","10","-62","44","26","50","6","32","-44","-16","-36","-44","-4","96","-50","-10","-42","58","-32","68","36","28","16","20","4","106","-88","16","36","-28","-22","34","-38","30","-4","-68","-28","24","54","-2","96","24","-4","-32","108","-52","-56","8","22","36","-100","-16","-68","-32","-60","2","46","24","20","-60","-4","32","-14","20","68","20","-26","8","12","-20","36","-28","-24","16","-82","-24","-62","100","0","60","-40","-8","-72","24","-28","-26","-40","-22","18","44","8","-36","-42","-24","24","126","-4","74","-78","-70","22","44","6","40","-14","-8","-84","32","56","-44","-20","48","-4","-12","8","-106","50","8","-22","40","20","22","-74","12","38","8","-52","90","48","20","-4","-50","8","-52","68","0","-28","-80","-40","84","-18","16","-12","-40","-8","72","20","18","12","10","0","-108","60","56","-60","96","28","114","-24","2","-74","76","-20","0","78","-32","64","-4","6","132","-74","-54","-76","80","20","-56","-28","-2","18","16","38","-190","-46","40","120","2","4","-18","48","-84","32","38","-58","4","88","8","-28","154","-32","64","32","100","-52","36","24","-40","-52","22","-4","16","-16","-108","28","4","8","-8","34","-112","-20","24","-96","-68","10","6","60","-48","26","48","78","-44","-44","-12","-50","8","-20","8","-72","24","-132","-116","2","16","-56","-26","36","-32","52","-16","40","16","-80","-12","32","-8","84","-44","-20","-132","14","-92","-88","-30","34","-40","20","-150","-34","4","-30","-80","-36","-48","100","48","-10","-56","-12","56","48","-26","72","0","-20","-60","-102","-16","-36","10","24","-88","60","-4","-28","182","-16","20"],"lmfdb":"agrees","derived":{"al":[[3,-1],[83,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"249.2.a.e","letter":"e","dim":5,"charpoly":["-4064","4368","-560","-112","9","1"],"traces":["5","-3","-5","7","-2","3","8","-9","5","6","4","-7","4","2","2","19","2","-3","12","4","-8","-2","8","9","3","10","-5","8","-2","-6","24","-31","-4","-18","-2","7","-2","-16","-4","-18","6","-2","10","-20","-2","-12","12","-19","5","-11","-2","-32","-28","3","14","-14","-12","-36","8","-4","6","-38","8","11","-28","2","10","18","-8","-12","26","-9","16","-22","-3","30","4","-10","6","30","5","-24","5","-8","-8","16","2","-8","4","6","0","40","-24","-20","20","31","8","1","4","-35","-8","18","4","66","2","26","6","-7","-6","-8","2","60","-18","16","-20","22","4","-4","44","18","-11","44","-6","52","-30","2","4","-65","-10","50","8","20","-34","0","2","-58","-20","12","30","66","-12","-72","2","19","-10","42","-5","-10","-36","11","4","-44","2","-22","-18","32","-10","44","28","-46","-12","-3","-6","38","-14","-3","28","14","-1","-48","12","10","-6","36","0","40","-8","-2","8","4","10","56","-6","-14","8","38","-4","-8","-8","34","8","-11","-26","2","28","-13","-38","-2","0","37","-10","14","-44","-18","-50","-8","8","-100","30","12","-72","10","-26","-44","-20","9","52","-18","-16","-16","-36","22","38","-134","3","2","-16","-30","34","44","-4","-52","-26","10","-20","-20","-6","-96","52","-30","-6","45","-5","-54","-54","24","-4","-98","-5","8","-42","8","-32","-56","8","123","-30","-16","8","-44","-2","28","-32","8","28","40","-4","32","-4","-6","22","142","0","42","12","-40","54","-20","24","-64","-20","20","-26","102","-20","8","4","-31","31","12","-8","28","-38","-1","-80","-52","-4","66","14","35","88","44","8","24","30","-18","24","-16","-4","0","50","-66","38","-62","-2","54","-46","-26","0","76","-6","50","-84","7","54","4","6","-16","36","8","-50","7","-2","6","96","-60","-6","-81","18","128","16","-16","4","8","20","20","8","-22","2","0","-4","6","46","4","4","166","-44","80","-4","-18","65","38","11","-128","0","-44","-6","-24","6","-44","-2","-52","46","-12","30","-28","-20","-2","-38","-108","-4","64","12","65","-18","-60","10","96","32","-50","-32","35","-8","-50","12","-20","10","-8","34","-39","-22","0","-12","-138","-2","-28","36","58","-6","40","20","30","16","-12","-2","166","-30","24","0","-66","28","48","12","6","10","72","-20","-46","-2","-22","-12","-19","28","-64","10","-98","52","-42","42","-24","5","120","16","10","44","-108","36","84","-28","-11","-52","-110","-4","-4","-56","44","-32","-102","-2","-34","20","22","24","38","18","74","10","-32","2","0","10","78","-26","-44","-22","60","-28","40","104","46","-34","138","12","-137","-40","3","-40","98","6","10","-52","-38","-8","-2","14","196","-20","3","-48","-40","-28","-52","30","-14","-32","2","1","196","-26","48","40","-151","-12","-2","-16","-10","32","-98","6","62","14","-36","-56","52","0","-24","84","-40","-39","-84","8","42","20","2","-108","-108","-8","-18","-32","-4","104","-96","-10","-242","-100","-56","-36","-132","6","30","66","14","48","60","-8","-36","-18","-38","12","-6","4","-22","-76","8","28","12","8","-176","62","-34","-30","-46","-8","12","0","11","-48","-113","26","-54","8","-2","-64","58","-28","-10","24","13","22","84","38","122","30","2","-104","-36","0","-24","34","-37","-44","-24","10","-156","106","-14","12","36","44","52","16","18","48","-168","50","-14","-22","8","52","86","-8","44","26","100","-51","38","-30","58","68","-12","-28","28","72","-62","-16","-10","44","46","26","-162","-14","44","6","12","20","36","-94","-9","-40","-102","-52","74","-64","18","-64","-2","16","-56","36","16","-4","140","36","-9","164","-22","36","-104","-38","-68","52","134","26","114","-3","97","-8","-2","-36","-132","16","-2","84","30","20","-36","-34","62","-76","-44","-48","22","4","-44","52","52","32","178","26","-156","6","-10","-20","4","20","-28","46","20","20","22","6","-142","28","96","12","-56","-52","40","118","30","-66","-85","6","-34","22","-45","-24","196","5","50","104","54","-6","48","54","4","84","-24","-24","46","4","-40","-38","98","112","-108","5","72","4","-8","-4","100","42","-8","-68","-8","18","60","32","12","-74","56","-68","84","-8","40","98","-123","-38","12","30","70","70","16","28","18","-8","46","-22","44","26","36","2","3","32","-28","-64","-46","32","2","-112","-8","66","12","-28","80","-58","-40","64","129","4","-36","-38","-32","78","124","4","102","12","6","20","-16","-22","22","0","-142","-136","32","0","26","-2","-42","4","20","-12","62","-94","40","-60","6","-54","-328","98","20","-150","-104","-24","178","124","64","-29","-34","20","-74","-18","-20","-60","-24","26","102","-52","-102","90","126","20","44","-18","-8","40","164","-4","-52","-68","31","-114","-166","-31","72","-74","-12","-88","144","8","-128","-86","-28","-86","-156","38","46","134","1","-168","-300","80","192","14","52","-80","-60","4","38","-20","-66","-68","-166","-14","34","24","-35","56","6","-88","78","52","-44","-96","4","-8","40","-16","-24","4","186","-30","146","12","18","54","16","-24","26","-52","16","22","-192","4","36","-14","0","-144","132","-50","-112","-76","66","-40","-48","-38","52","26","62","72","-120","2","-60","-80","-54","48","-28","46","-152","114","26","8","12","0","-16","-84","-76","21","72","6","-90","-14","-50","-72","77","84","102","-2","-7","98","0","-54","-162","-118","-4","-112","120","-6","-20","4","16","-76","52","-36","20","-22","-8","32","-294","50","-48","-112","-7","2","62","2","100"],"lmfdb":"agrees","derived":{"al":[[3,1],[83,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.181,"computed":"atlas","estimate":{"seconds":0.242,"low":0.148,"high":0.419,"bytes":1925112},"url":"https://sagebrush.space/atlas/mf/249.2.a"}