{"label":"290.2.a","level":290,"weight":2,"dims":{"new":11,"cusp":41,"eisenstein":7,"modsym":89},"old":[[29,2,4],[58,2,2],[145,9,2]],"T":[[3,1],[7,3],[11,5],[13,7]],"status":"proven","checks":["dim M^+ at levels [1, 2, 5, 10, 29, 58, 145, 290]: [0, 1, 1, 3, 3, 9, 16, 48] (certified at ell = 2147483549)","T = [(3, 1), (7, 3), (11, 5), (13, 7)]; h of degree 11 = 1 x 11 (phi(ord eps) x dim S_k^new); 3 primes, 0 rejected"],"newforms":[{"label":"290.2.a.a","letter":"a","dim":1,"charpoly":["38","1"],"traces":["1","-1","0","1","-1","0","-2","-1","-3","1","2","0","-6","2","0","1","2","3","-2","-1","0","-2","-6","0","1","6","0","-2","-1","0","-6","-1","0","-2","2","-3","-2","2","0","1","10","0","-8","2","3","6","-4","0","-3","-1","0","-6","10","0","-2","2","0","1","8","0","10","6","6","1","6","0","2","2","0","-2","4","3","6","2","0","-2","-4","0","-10","-1","9","-10","-6","0","-2","8","0","-2","-6","-3","12","-6","0","4","2","0","6","3","-6","1","2","0","18","6","0","-10","-2","0","-14","2","0","-2","-18","0","6","-1","18","-8","-4","0","-7","-10","0","-6","-1","-6","-8","-1","0","-6","-18","0","4","-2","0","-2","10","0","0","2","0","-4","-12","-3","1","-6","0","-2","6","0","-20","2","-6","4","6","0","-14","10","0","1","12","-9","4","10","0","6","-22","0","23","2","6","-8","10","0","-2","2","0","6","4","3","-10","-12","0","6","2","0","4","-4","0","-2","-6","0","-14","-6","0","-3","26","6","-20","-1","0","-2","2","0","-10","-18","18","-6","-4","0","-10","10","0","2","8","0","12","14","0","-2","-12","0","26","2","-3","18","6","0","26","-6","0","1","2","-18","4","8","0","4","-28","0","-10","7","0","10","3","0","12","6","0","1","2","6","-12","8","0","1","-6","0","4","6","3","18","4","0","-10","-4","0","2","2","0","-2","2","0","-10","2","0","2","0","18","-2","-10","0","6","4","0","12","-20","3","-13","-1","0","6","-22","0","-8","2","0","-6","36","0","16","20","0","-2","-10","6","28","-4","0","-6","-30","0","10","14","-6","-10","6","0","-2","-1","0","-12","-4","9","-6","-4","0","-10","8","0","30","-6","6","22","-2","0","-26","-23","0","-2","-12","-6","20","8","0","-10","18","0","2","2","0","-2","-14","0","-4","-6","0","-4","-18","-3","-15","10","0","12","-6","0","-16","-6","-30","-2","-20","0","-22","-4","0","4","6","0","-34","2","0","6","-34","0","4","14","24","6","10","0","-12","3","0","-26","10","-6","10","20","0","1","34","0","36","2","-9","-2","-4","0","10","10","0","18","-16","-18","6","6","0","4","4","0","2","10","12","-10","2","0","-20","-2","0","-8","-8","0","2","-12","0","-14","12","0","16","2","9","12","-12","0","6","-26","0","-2","10","3","20","-18","0","-6","-12","0","-22","-26","0","6","-6","0","14","-1","0","-2","20","18","-4","-4","0","-8","-16","0","-2","-4","-30","28","34","0","12","10","0","-7","-6","0","14","-10","0","-3","-34","0","-2","-12","6","-6","-8","0","4","-1","0","-2","8","-6","-2","12","0","-8","18","0","-12","-1","0","6","-18","0","-8","-4","0","-6","30","-3","10","-18","0","-4","-12","0","13","10","-24","4","-60","0","2","-2","0","-2","-6","0","10","2","0","-2","14","0","-26","10","-30","-2","2","0","20","-2","0","0","-6","-18","48","2","0","10","36","0","18","-6","-18","-4","-6","0","12","-12","0","20","-6","-3","-14","13","0","1","12","0","20","-6","-18","22","30","0","12","8","0","-2","-14","0","4","6","0","-36","46","0","26","-16","-6","-20","7","0","-28","2","0","10","24","-6","42","-28","0","4","30","0","-14","6","0","30","12","0","1","-10","0","-14","-4","6","28","10","0","-6","8","0","18","2","-12","1","-30","0","38","12","0","4","-38","-9","16","6","0","4","-14","0","18","10","-18","-8","6","0","-26","-30","0","6","-4","-6","6","-22","0","2","20","0","10","26","0","23","-6","0","-12","2","0","12","2","6","-10","-20","0","-8","-60","0","28","10","12","-18","0","0","20","-2","0","-2","22","0","4","2","0","14","-4","0","26","4","30","6","36","0","12","4","0","18","36","3","-36","15","0","-10","-1","0","-40","-12","-27","6","-16","0","-18","16","0","6","4","30","-50","2","0","20","-40","0","-6","22","18","4","4","0","-34","-4","0","-6","20","0","-22","34","0","-2","22","0","28","-6","6","34","-48","0","-6","-4","0","-14","30","-24","-6","-6","0","-10","-20","0","8","12","0","-3","14","0","-38","26","0","-10","36","6","-60","-10","0","-20","-30","0","-8","-1","18","-34","12","0","-12","-36","0","-2","42","9","-24","2","0","4","-4","0","16","-10","-36","-10","-34","0","-4","-18","0","16","-16","18","-46","-6","0","-6","-6","0","22","-4","0","-4","18","0","1","-2","0","-10","-23","-12","14","10","0","-2","12","0","6","20","-6","2","-14","0","42","8","0","8","54","0","-10","-2","0","12","-20","0","-12","14","-18","-12","2","0","-38","-16","0","-2","-30","-9","-42","-12","0","12","-16","0","16","-6","18","26","8","0","-4","2","0","-10","6","-3","20","-20","0","18","10","0","8","6","-6","12","-42","0","-12","22","0","26","36","0","-36","-6","0","6","-24","0","-2","-14","-54","1","18","0","6","2","0","-20","-4","-18","-46","4","0","4","54","0","-60","8","0","16","-36","0","-36","2","0","4","-6","30","6","-28","0","-34","-20","0","5","-12","6","-10","14","0","20","7","0","6","26","0","0","-14","0","10","-14","0","-12","3","42","34","-48","0","-26","2","0","12","48","-6","-4","6","0","8","20","0","58","-4","0","1"],"lmfdb":"agrees","curve":{"cremona":"290a1","lmfdb":"290.a","ainvs":[1,-1,0,-70,-204],"rank":1,"torsion":2},"derived":{"al":[[2,1],[5,1],[29,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"290.2.a.b","letter":"b","dim":2,"charpoly":["459","-69","1"],"traces":["2","-2","1","2","-2","-1","5","-2","1","2","-2","1","9","-5","-1","2","3","-1","6","-2","-4","2","7","-1","2","-9","4","5","2","1","-5","-2","12","-3","-5","1","-2","-6","11","2","-10","4","3","-2","-1","-7","0","1","5","-2","-18","9","3","-4","2","-5","-10","-2","9","-1","-17","5","-4","2","-9","-12","-4","3","-3","5","0","-1","-13","2","1","6","-18","-11","1","-2","-14","10","-10","-4","-3","-3","1","2","-22","1","16","7","-22","0","-6","-1","13","-5","12","2","-15","18","8","-9","4","-3","10","4","-22","-2","38","5","17","10","-7","2","11","-9","27","1","6","17","-18","-5","-2","4","40","-2","8","9","0","12","28","4","-4","-3","-27","3","17","-5","0","0","4","1","-2","13","-30","-2","18","-1","2","-6","-18","18","5","11","12","-1","-18","2","24","14","-28","-10","-12","10","-11","4","21","3","-10","3","27","-1","5","-2","-15","22","-9","-1","-18","-16","11","-7","2","22","-42","0","23","6","21","1","-17","-13","-11","5","3","-12","-14","-2","-28","15","5","-18","10","-8","-3","9","-32","-4","34","3","0","-10","-3","-4","7","22","26","2","-6","-38","3","-5","1","-17","16","-10","1","7","30","-2","32","-11","0","9","-19","-27","12","-1","-3","-6","-32","-17","-5","18","14","5","-18","2","-10","-4","-20","-40","18","2","-22","-8","-44","-9","1","0","-4","-12","-3","-28","-24","-4","-7","4","12","3","-5","27","-2","-3","28","-17","-22","5","5","0","-6","0","10","-4","-12","-1","29","2","-13","-13","30","30","-9","2","-30","-18","25","1","1","-2","-27","6","17","18","-12","-18","56","-5","39","-11","-28","-12","4","1","-14","18","-2","-2","18","-24","48","-14","9","28","2","10","0","12","38","-10","38","11","4","-4","-7","-21","15","-3","-34","10","10","-3","3","-27","6","1","16","-5","5","2","20","15","0","-22","-45","9","-49","1","6","18","-23","16","13","-11","-42","7","-18","-2","27","-22","-53","42","-1","0","9","-23","-54","-6","20","-21","13","-1","18","17","8","13","-36","11","30","-5","78","-3","-1","12","13","14","-38","2","53","28","-42","-15","14","-5","80","18","-4","-10","-33","8","42","3","10","-9","2","32","7","4","-8","-34","0","-3","3","0","-62","10","54","3","-26","4","-16","-7","-1","-22","34","-26","-32","-2","-30","6","-13","38","22","-3","48","5","-38","-1","-16","17","14","-16","-16","10","-20","-1","45","-7","-3","-30","24","2","22","-32","-21","11","16","0","-46","-9","10","19","6","27","-18","-12","9","1","30","3","-27","6","-13","32","21","17","-40","5","36","-18","3","-14","-12","-5","0","18","-5","-2","-12","10","-24","4","15","20","69","40","-18","-18","-65","-2","38","22","-8","8","0","44","33","9","13","-1","-50","0","-4","4","51","12","-15","3","-15","28","-58","24","-10","4","15","7","-70","-4","-27","-12","-22","-3","22","5","-30","-27","11","2","6","3","22","-28","-38","17","-9","22","20","-5","18","-5","45","0","-17","6","-22","0","36","-10","27","4","30","12","7","1","59","-29","-67","-2","-12","13","-42","13","-11","-30","-16","-30","24","9","-18","-2","18","30","-27","18","32","-25","51","-1","-82","-1","-28","2","-6","27","4","-6","-4","-17","0","-18","-45","12","18","18","-3","-56","8","5","27","-39","-42","11","2","28","36","12","-120","-4","20","-1","56","14","-40","-18","-10","2","0","2","-18","-18","-30","24","-8","-48","12","14","-48","-9","-29","-28","-42","-2","0","-10","26","0","-54","-12","-2","-38","-81","10","-28","-38","7","-11","-31","-4","56","4","34","7","4","21","40","-15","52","3","-18","34","18","-10","27","-10","20","3","-6","-3","-59","27","30","-6","-17","-1","24","-16","42","5","-26","-5","-84","-2","0","-20","-18","-15","6","0","-19","22","2","45","-4","-9","6","49","22","-1","-32","-6","5","-18","2","23","62","-16","13","-13","-15","11","32","42","30","-7","-48","18","12","2","-32","-27","68","22","-18","53","-18","-42","12","1","24","0","-18","-9","-2","23","22","54","42","6","-9","-20","-68","21","18","-13","21","1","54","-18","54","-17","-52","-8","-5","-13","82","36","-4","-11","0","-30","4","5","-12","-78","18","3","24","1","36","-12","-57","-13","18","-14","24","38","0","-2","-24","-53","78","-28","-24","42","-36","15","20","-14","3","5","32","-80","28","-18","-4","4","-5","10","-58","33","-32","-8","12","-42","-43","-3","33","-10","14","9","105","-2","11","-32","29","-7","-44","-4","2","8","48","34","-21","0","41","3","62","-3","-46","0","-6","62","10","-10","-10","-54","50","-3","-6","26","21","-4","-27","16","-44","7","-40","1","-44","22","-13","-34","-5","26","71","32","54","2","-26","30","30","-6","15","13","60","-38","100","-22","-12","3","0","-48","9","-5","6","38","-5","1","63","16","7","-17","18","-14","77","16","-27","16","47","-10","-16","20","-11","1","-78","-45","28","7","20","3","0","30","-2","-24","56","-2","-37","-22","80","32","39","21","42","-11","-50","-16","38","0","60","46","-22","9","-23","-10","25","-19","-26","-6","-72","-27","-28","18","-21","12","12","-9","-48","-1","9","-30","18","-3","17","27","18","-6","-54","13","-30","-32","49","-21","11","-17","-42","40","-4","-5","2","-36","-40","18","-3","-3","0","14","4","12","62","5","32","0","14","-18","42","5","-82","2"],"lmfdb":"agrees","derived":{"al":[[2,1],[5,1],[29,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"290.2.a.c","letter":"c","dim":2,"charpoly":["-507","-13","1"],"traces":["2","-2","1","2","2","-1","3","-2","1","-2","2","1","-1","-3","1","2","-1","-1","6","2","8","-2","-3","-1","2","1","4","3","-2","-1","17","-2","-12","1","3","1","6","-6","-7","-2","10","-8","3","2","1","3","-4","1","-3","-2","6","-1","-23","-4","2","-3","-10","2","-19","1","-3","-17","8","2","-1","12","-8","-1","-21","-3","4","-1","-1","-6","1","6","-10","7","7","2","-14","-10","-6","8","-1","-3","-1","-2","-6","-1","-8","-3","2","4","6","-1","-7","3","-12","2","11","-6","8","1","8","23","10","4","6","-2","-10","3","-3","10","-3","-2","-7","19","5","-1","6","3","18","17","2","-8","12","-2","8","1","-12","-12","-4","8","4","1","1","21","5","3","24","-4","12","1","-2","1","18","6","-18","-1","6","-6","6","10","17","-7","0","-7","-18","-2","-24","14","12","10","-12","6","35","-8","-19","1","-10","3","-11","1","3","2","-3","6","19","1","-2","8","5","3","6","-2","-14","-4","-7","-6","-9","1","3","7","-7","-3","17","12","18","-2","-4","-11","-3","6","10","-8","-21","-1","32","-8","-2","-23","-24","-10","3","-4","19","-6","-46","2","-6","10","1","-3","1","3","-36","-10","7","3","-18","2","-40","7","-4","-19","23","-5","32","1","-11","-6","-32","-3","-3","-18","10","-17","-42","-2","2","8","36","-12","6","2","30","-8","-4","-1","-1","12","28","12","-23","4","36","-8","-1","-4","-36","-1","-17","-1","2","-21","-44","-5","2","-3","5","-24","50","4","-10","-12","28","-1","-27","2","-49","-1","2","-18","-19","-6","30","18","21","1","11","-6","51","6","-3","-6","-12","-10","56","-17","33","7","-48","0","8","7","30","18","-2","2","18","24","-16","-14","-1","-12","-10","-10","20","12","-34","-6","-10","-35","-8","8","45","19","-21","-1","30","10","-6","-3","-21","11","-6","-1","4","-3","11","-2","16","3","4","-6","9","-19","33","-1","6","2","-23","-8","-1","-5","-26","-3","18","-6","-41","2","25","14","1","4","1","7","-26","6","32","9","11","-1","-10","-3","8","-7","-20","7","-18","3","-6","-17","7","-12","-9","-18","-2","2","13","4","-2","11","-14","3","32","-6","36","-10","-45","8","-22","21","-6","1","74","-32","43","8","-8","2","24","23","-1","24","2","10","6","-3","10","4","16","-19","-1","6","30","46","-12","-2","18","6","-45","-10","-6","-1","-48","3","-2","-1","-16","-3","-10","36","-8","10","-20","-7","-15","-3","3","18","40","-2","2","40","-37","-7","-12","4","26","19","-10","-23","6","5","-18","-32","67","-1","10","11","-51","6","-7","32","-41","3","32","3","20","18","1","-10","-12","17","-20","42","-33","2","24","-2","-40","-8","11","-36","-3","12","18","-6","-47","-2","38","-30","8","8","-56","4","27","1","-3","1","-6","-12","8","-28","-15","-12","17","23","-3","-4","-18","-36","10","8","3","1","-42","4","27","36","38","1","6","17","54","1","5","-2","-6","21","30","44","-10","5","-15","-2","-8","3","6","-5","-3","24","-3","-50","-34","-4","36","10","-49","12","54","-28","-3","1","-81","27","-31","-2","-48","49","-10","1","-7","-2","-36","18","64","19","54","6","-74","-30","5","-18","-4","-21","73","-1","46","-11","-4","6","6","-51","-32","-6","-8","3","-24","6","65","12","18","10","-15","-56","-72","17","33","-33","30","-7","2","48","-36","0","-16","-8","-12","-7","-40","-30","12","-18","-18","2","-24","-2","-18","-18","-2","-24","8","16","-68","14","-32","1","55","12","-38","10","-12","10","-46","-20","-18","-12","-42","34","-3","6","-4","10","3","35","-97","8","-16","-8","6","-45","4","-19","0","21","-56","1","-18","-30","14","-10","1","6","-16","3","18","21","-15","-11","-18","6","5","1","8","-4","6","3","10","-11","44","2","24","-16","62","-3","-26","-4","23","6","-6","-9","12","19","42","-33","18","1","64","-6","53","-2","-2","23","-38","8","13","1","5","5","-52","26","18","3","-8","-18","-60","6","-8","41","20","-2","-18","-25","-42","-14","28","-1","16","-4","66","-1","6","-7","-2","26","18","-6","-41","-32","-4","-9","6","-11","3","1","26","10","54","3","-84","-8","17","7","-2","20","4","-7","56","18","-4","-3","0","6","18","17","-12","-7","-24","12","-5","9","-18","18","36","2","28","-2","36","-13","90","-4","-24","2","-72","-11","36","14","71","-3","8","-32","12","6","-4","-36","-17","10","-10","45","16","-8","-12","22","-19","-21","-41","6","-22","-1","21","-74","35","32","47","-43","60","-8","2","8","48","-2","-19","-24","-17","-23","38","1","30","-24","2","-2","-10","-10","-26","-6","62","3","66","-10","63","-4","-11","-16","-20","19","-32","1","4","-6","-49","-30","3","-46","33","12","66","2","42","-18","14","-6","-3","45","20","10","44","6","12","1","-64","48","19","-3","30","2","-17","1","5","16","25","3","-2","10","-11","-36","51","8","33","-10","72","20","5","7","-18","15","-76","3","20","-3","24","-18","6","-40","56","2","-45","-2","-48","-40","-3","37","-14","7","10","12","2","-4","24","-26","-54","-19","-7","10","-15","23","46","-6","-24","-5","-48","18","-9","32","12","-67","-44","1","89","-10","18","-11","3","51","94","-6","18","7","-22","-32","79","41","-7","-3","-2","-32","-84","-3","-10","-20","-24","-18","17","-1","36","10","-24","12","34","-17","-4","20","18","-42","-66","33","38","-2"],"lmfdb":"agrees","derived":{"al":[[2,1],[5,-1],[29,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"290.2.a.d","letter":"d","dim":3,"charpoly":["9482","21","-41","1"],"traces":["3","3","-1","3","3","-1","-1","3","6","3","2","-1","5","-1","-1","3","-5","6","2","3","0","2","1","-1","3","5","-28","-1","3","-1","-5","3","0","-5","-1","6","-4","2","-17","3","8","0","5","2","6","1","-24","-1","-10","3","2","5","3","-28","2","-1","-30","3","1","-1","5","-5","-12","3","5","0","4","-5","-15","-1","-4","6","11","-4","-1","2","-22","-17","9","3","35","8","-26","0","-5","5","-1","2","8","6","20","1","30","-24","2","-1","21","-10","24","3","-1","2","12","5","0","3","-18","-28","12","2","2","-1","17","-30","1","3","19","1","-9","-1","11","5","-2","-5","3","-12","-4","3","0","5","16","0","0","4","-28","-5","-11","-15","-3","-1","8","-4","-40","6","3","11","18","-4","36","-1","26","2","0","-22","-5","-17","38","9","-2","3","0","35","8","8","0","-26","-25","0","28","-5","62","5","-13","-1","-1","2","-45","8","15","6","8","20","13","1","-4","30","18","-24","19","2","-27","-1","-5","21","-17","-10","-5","24","-22","3","-60","-1","-1","2","8","12","31","5","0","0","-2","3","60","-18","5","-28","33","12","54","2","-30","2","-19","-1","6","17","-16","-30","3","1","-22","3","-18","19","-24","1","-45","-9","24","-1","-17","11","-60","5","-10","-2","34","-5","38","3","-42","-12","0","-4","2","3","-16","0","-20","5","6","16","-48","0","3","0","28","4","-13","-28","8","-5","37","-11","2","-15","10","-3","-98","-1","-25","8","-10","-4","-30","-40","-24","6","-32","3","-21","11","-4","18","1","-4","-38","36","17","-1","-55","26","43","2","5","0","16","-22","-64","-5","-25","-17","34","38","-12","9","-28","-2","2","3","-82","0","-4","35","5","8","-6","8","8","0","22","-26","12","-25","4","0","29","28","39","-5","-66","62","10","5","-15","-13","46","-1","-50","-1","-71","2","14","-45","-4","8","-11","15","-49","6","3","8","55","20","11","13","26","1","36","-4","31","30","3","18","-1","-24","5","19","14","2","60","-27","-33","-1","-22","-5","60","21","58","-17","-2","-10","82","-5","9","24","-39","-22","30","3","-57","-60","26","-1","35","-1","40","2","-54","8","47","12","22","31","-26","5","90","0","67","0","54","-2","-48","3","-5","60","-2","-18","-74","5","-22","-28","-38","33","-1","12","30","54","68","2","-49","-30","-19","2","8","-19","76","-1","40","6","48","17","22","-16","20","-30","-6","3","37","1","-25","-22","-36","3","30","-18","-51","19","0","-24","-14","1","110","-45","2","-9","-24","24","17","-1","-50","-17","15","11","21","-60","35","5","-64","-10","48","-2","-5","34","24","-5","0","38","-21","3","8","-42","-16","-12","-1","0","19","-4","68","2","27","3","-106","-16","12","0","-16","-20","21","5","15","6","2","16","0","-48","-23","0","-54","3","69","0","-30","28","-18","4","37","-13","-6","-28","-17","8","-58","-5","12","37","42","-11","-19","2","2","-15","-66","10","2","-3","-17","-98","-100","-1","22","-25","19","8","17","-10","2","-4","-26","-30","3","-40","-22","-24","1","6","-37","-32","77","3","8","-21","-62","11","19","-4","60","18","-60","1","118","-4","-20","-38","-9","36","8","17","-29","-1","16","-55","124","26","11","43","-24","2","0","5","-40","0","-13","16","-2","-22","49","-64","-24","-5","-53","-25","-46","-17","3","34","-60","38","28","-12","-12","9","0","-28","-4","-2","-32","2","-124","3","24","-82","-102","0","0","-4","8","35","-44","5","3","8","36","-6","16","8","-124","8","98","0","-8","22","-3","-26","0","12","1","-25","-67","4","4","0","-12","29","-28","28","62","39","-28","-5","38","-66","10","62","-11","10","-32","5","70","-15","97","-13","14","46","-3","-1","8","-50","-54","-1","-52","-71","-4","2","8","14","42","-45","-100","-4","165","8","-30","-11","-40","15","-38","-49","-50","6","40","3","47","8","3","55","-2","20","162","11","45","13","-58","26","18","1","0","36","-16","-4","-68","31","-20","30","36","3","-110","18","8","-1","20","-24","-14","5","26","19","8","14","-30","2","41","60","60","-27","0","-33","91","-1","-12","-22","6","-5","54","60","-5","21","-22","58","4","-17","0","-2","-28","-10","38","82","-22","-5","16","9","-28","24","-7","-39","-2","-22","-22","30","40","3","-2","-57","-54","-60","0","26","-24","-1","-50","35","-1","-1","56","40","8","2","0","-54","-57","8","88","47","4","12","0","22","-77","31","-21","-26","54","5","17","90","-25","0","163","67","32","0","3","54","-80","-2","28","-48","-5","3","-142","-5","-2","60","24","-2","62","-18","12","-74","18","5","-22","-22","-77","-28","-13","-38","24","33","132","-1","68","12","91","30","-1","54","-65","68","-118","2","-20","-49","2","-30","-45","-19","-44","2","0","8","-4","-19","-16","76","15","-1","-34","40","-5","6","-37","48","-55","17","8","22","-77","-16","-129","20","-57","-30","-16","-6","13","3","14","37","40","1","-4","-25","-68","-22","-4","-36","100","3","-27","30","-36","-18","-7","-51","18","19","-12","0","-10","-24","86","-14","2","1","19","110","-73","-45","22","2","-20","-9","54","-24","-27","24","0","17","24","-1","66","-50","138","-17","-5","15","78","11","30","21","-46","-60","-33","35","-17","5","0","-64","92","-10","-36","48","-36","-2","-5","-5","0","34","0","24","34","-5","-8","0","-22","38","76","-21","18","3"],"lmfdb":"agrees","derived":{"al":[[2,-1],[5,-1],[29,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"290.2.a.e","letter":"e","dim":3,"charpoly":["1038","-2265","-33","1"],"traces":["3","3","3","3","-3","3","3","3","6","-3","0","3","3","3","-3","3","3","6","0","-3","-12","0","-15","3","3","3","12","3","-3","-3","-9","3","-24","3","-3","6","0","0","-3","-3","-12","-12","9","0","-6","-15","0","3","18","3","-6","3","9","12","0","3","18","-3","-15","-3","15","-9","-30","3","-3","-24","18","3","-9","-3","-36","6","-9","0","3","0","30","-3","9","-3","3","-12","12","-12","-3","9","-3","0","0","-6","-24","-15","-18","0","0","3","9","18","-30","3","-3","-6","-6","3","12","9","12","12","36","0","-30","3","21","18","15","-3","33","-15","-3","-3","15","15","18","-9","-3","-30","24","3","0","-3","-30","-24","12","18","-12","3","21","-9","-3","-3","48","-36","12","6","3","-9","30","0","-24","3","-6","0","12","30","9","-3","-30","9","-18","-3","12","3","24","-12","24","12","-9","-12","36","-3","-12","9","-3","-3","3","0","15","0","3","-6","0","-24","51","-15","0","-18","18","0","-51","0","-27","3","27","9","3","18","-15","-30","6","3","60","-3","-3","-6","12","-6","-57","3","-36","12","24","9","-36","12","-9","12","-15","36","-18","0","42","-30","45","3","6","21","-6","18","-27","15","18","-3","-18","33","0","-15","-15","-3","-48","-3","-21","15","24","15","-18","18","-78","-9","30","-3","12","-30","-12","24","6","3","12","0","72","-3","-6","-30","-36","-24","-9","12","-24","18","-51","-12","-6","3","-111","21","0","-9","-18","-3","-12","-3","3","48","12","-36","-18","12","-84","6","-24","3","15","-9","24","30","15","0","-18","-24","-87","3","3","-6","-51","0","-15","12","0","30","48","9","15","-3","-18","-30","30","9","12","-18","0","-3","-18","12","-48","3","3","24","54","-12","-60","24","-12","12","-72","-9","-18","-12","-15","36","75","-3","18","-12","-18","9","9","-3","-12","-3","6","3","111","0","18","15","36","0","-57","3","3","-6","39","0","-21","-24","9","51","-6","-15","48","0","-9","-18","9","18","-3","0","-3","-51","24","0","24","-27","27","3","-30","27","24","9","6","3","-54","18","-42","-15","-9","-30","-21","6","90","3","15","60","30","-3","-3","-3","60","-6","18","12","27","-6","-18","-57","-12","3","42","-36","-9","12","18","24","60","9","3","-36","-30","12","-90","-9","-18","12","6","-15","3","36","78","-18","24","0","51","42","69","-30","0","45","12","3","-12","6","-60","21","6","-6","24","18","-6","-27","57","15","57","18","-42","-3","18","-18","-3","33","0","0","-30","-15","18","-15","0","-3","36","-48","-15","-3","-54","-21","159","15","-9","24","-21","15","-24","-18","102","18","-3","-78","30","-9","-36","30","-9","-3","84","12","0","-30","3","-12","39","24","12","6","-15","3","-90","12","6","0","-96","72","-33","-3","3","-6","0","-30","-12","-36","15","-24","78","-9","-27","12","42","-24","-12","18","-39","-51","-24","-12","-15","-6","18","3","-36","-111","36","21","75","0","0","-9","-30","-18","30","-3","33","-12","48","-3","-54","3","51","48","-21","12","-120","-36","6","-18","15","12","-102","-84","-15","6","-45","-24","57","3","24","15","54","-9","-33","24","-42","30","-48","15","-66","0","-24","-18","3","-24","-36","-87","-21","3","-72","3","54","-6","-15","-51","0","0","12","-15","-24","12","-63","0","-18","30","69","48","-30","9","-159","15","30","-3","3","-18","60","-30","-12","30","-48","9","48","12","-24","-18","12","0","-72","-3","48","-18","-60","12","0","-48","-42","3","-60","3","-9","24","-24","54","30","-12","-12","-60","12","24","-24","-12","15","12","-12","-72","15","-9","99","-18","-72","-12","0","-15","12","36","30","75","36","-3","6","18","0","-12","-21","-18","-108","9","126","9","-27","-3","114","-12","3","-3","0","6","78","3","72","111","24","0","-48","18","126","15","48","36","57","0","6","-57","-12","3","6","3","-42","-6","-108","39","-81","0","-3","-21","-6","-24","66","9","33","51","78","-6","-30","-15","-84","48","-42","0","-36","-9","108","-18","24","9","12","18","84","-3","-42","0","-66","-3","6","-51","48","24","186","0","-27","24","48","-27","-12","27","-99","3","-72","-30","-66","27","66","24","-9","9","126","6","-24","3","0","-54","-12","18","30","-42","-12","-15","-36","-9","-12","-30","-3","-21","18","6","54","90","-36","3","-30","15","18","60","-12","30","-36","-3","54","-3","-9","-3","0","60","-24","-6","-48","18","-105","12","-72","27","-24","-6","-24","-18","39","-57","69","-12","90","3","9","42","9","-36","9","-9","-66","12","3","18","-24","24","-36","60","-9","9","-6","3","54","-36","12","-30","12","12","60","-90","-96","-9","-78","-18","3","12","3","6","-60","-15","48","3","-72","36","-9","78","-3","-18","-15","24","54","0","24","51","96","42","-15","69","-12","-30","24","0","-114","45","72","12","-3","3","-66","-12","9","6","81","-60","-81","21","0","6","63","-6","-135","24","27","18","-36","-6","-51","-27","54","57","132","15","-36","57","-36","18","0","-42","90","-3","-51","18","18","-18","-21","-3","-18","33","-48","0","-102","0","18","-30","6","-15","51","18","-9","-15","30","0","12","-3","-54","36","27","-48","24","-15","48","-3","-42","-54","-48","-21","-27","159","6","15","6","-9","84","24","-111","-21","-3","15","0","-24","48","-18","60","102","60","18","15","-3","-36","-78","-84","30","-78","-9","60","-36","-6","30","72","-9","-126","-3"],"lmfdb":"agrees","derived":{"al":[[2,-1],[5,1],[29,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.21,"computed":"atlas","estimate":{"seconds":0.307,"low":0.187,"high":0.531,"bytes":1955615},"url":"https://sagebrush.space/atlas/mf/290.2.a"}