{"label":"579.2.a","level":579,"weight":2,"dims":{"new":33,"cusp":63,"eisenstein":3,"modsym":129},"old":[[193,15,2]],"T":[[2,1],[5,1]],"status":"proven","checks":["dim M^+ at levels [1, 3, 193, 579]: [0, 1, 16, 66] (certified at ell = 2147483137)","T = [(2, 1), (5, 1)]; h of degree 33 = 1 x 33 (phi(ord eps) x dim S_k^new); 4 primes, 0 rejected"],"newforms":[{"label":"579.2.a.a","letter":"a","dim":1,"charpoly":["1","1"],"traces":["1","-1","1","-1","0","-1","0","3","1","0","-6","-1","-6","0","0","-1","4","-1","0","0","0","6","0","3","-5","6","1","0","0","0","0","-5","-6","-4","0","-1","-10","0","-6","0","0","0","-4","6","0","0","-6","-1","-7","5","4","6","4","-1","0","0","0","0","0","0","-10","0","0","7","0","6","4","-4","0","0","14","3","-2","10","-5","0","0","6","0","0","1","0","-4","0","0","4","0","-18","4","0","0","0","0","6","0","-5","-2","7","-6","5","6","-4","-4","-18","0","-4","0","-1","-10","0","-10","0","12","0","0","0","-6","0","0","0","25","10","0","0","0","0","8","3","-4","0","8","6","0","-4","0","12","2","0","20","0","-6","-14","36","-1","0","2","-7","10","-16","5","16","0","4","0","0","6","-2","0","4","0","0","-1","4","0","0","4","-14","0","23","0","0","4","20","0","0","6","0","-4","-24","0","10","0","-10","0","0","0","-24","6","0","0","-16","7","1","2","0","7","-18","6","-16","-15","4","-6","0","-4","0","4","0","6","0","0","4","-4","14","0","0","3","0","10","-2","0","-24","10","16","0","-5","-12","-2","0","-22","0","0","0","16","6","0","0","0","0","8","0","-22","-25","1","10","0","0","0","0","-4","0","10","0","0","-8","0","-17","2","4","0","0","0","-8","18","-18","0","0","4","-4","-28","0","20","-4","0","-2","30","0","14","-20","0","0","-24","6","-24","-14","0","-36","0","-5","-1","0","-2","2","18","7","0","-30","-6","16","0","5","0","-16","6","0","0","-4","-12","0","-4","0","-12","-18","18","2","0","0","-26","-4","0","0","0","0","0","-1","30","-4","-10","0","0","0","20","4","-10","14","0","0","14","-23","12","0","0","0","0","-12","0","-20","-14","0","-26","0","-6","30","-32","0","0","-4","0","24","-12","0","-19","-10","25","0","0","10","-28","0","0","0","0","0","-34","24","0","-18","0","0","20","0","8","16","24","3","0","-1","-4","2","30","0","0","-21","8","18","0","6","-18","16","0","5","-12","-4","0","-6","0","0","60","12","22","0","2","4","0","0","0","30","20","0","-10","0","-22","-4","-6","12","-20","-14","0","0","36","0","30","-1","2","0","0","10","0","2","-32","0","-7","24","34","10","0","-16","-16","0","-6","5","0","-12","16","2","0","0","6","22","4","0","6","0","-28","0","0","-16","20","6","0","0","-2","0","24","0","0","0","4","-8","-20","0","60","22","0","-25","0","-1","-16","-30","4","0","6","0","0","0","0","0","0","4","28","0","-14","-10","14","0","0","0","23","-8","-32","0","0","11","0","-2","0","4","36","0","20","0","-40","0","20","-8","0","-18","0","6","-23","0","0","0","0","-4","0","12","-24","28","42","0","-14","-20","10","-20","0","0","28","-2","-10","-30","0","0","0","-14","0","-20","8","0","24","0","-24","24","12","6","0","24","0","42","24","0","-44","-36","-16","0","0","7","-10","1","1","0","0","2","-24","-6","0","-18","40","7","0","0","-18","10","-10","6","0","16","-16","0","-46","-15","-38","0","4","-16","0","-6","8","0","0","0","36","-4","22","12","0","0","-16","4","-32","0","0","12","0","6","25","-18","0","2","-40","0","44","0","4","26","0","-4","42","0","14","0","-26","0","12","0","0","0","6","3","0","-30","0","-4","0","10","0","0","-2","0","-34","0","14","-20","-24","-12","0","10","0","14","16","0","60","0","10","-14","-5","-23","34","-12","0","0","-2","0","-26","0","0","0","-22","4","-24","0","28","-20","0","14","0","0","0","26","16","0","-24","6","0","-42","0","32","0","0","-6","0","0","12","0","0","0","24","8","12","50","0","0","19","-22","-10","0","-25","-44","0","1","0","-16","10","-22","28","0","0","-24","0","-32","0","0","0","-2","0","0","34","-4","24","0","0","32","6","10","0","0","0","-22","-20","0","0","-28","-8","0","16","0","-24","0","-17","-14","0","2","-1","38","4","0","-6","0","-30","0","0","-84","0","0","7","0","-8","52","18","18","0","0","-18","60","18","0","16","26","0","-24","25","4","12","12","-4","0","0","-28","18","56","0","28","0","20","-60","0","-4","0","-22","0","0","-18","-2","-24","-12","30","0","48","0","-46","0","14","-42","-28","-20","0","0","0","10","-8","0","-29","22","-24","-4","0","6","0","-4","-24","20","0","-14","-46","0","0","0","38","-36","-52","0","0","-30","-14","-5","0","-2","-1","0","0","0","-24","-30","-2","0","0","2","14","32","18","0","14","7","28","24","0","-34","-42","-30","0","0","-6","-16","0","16","0","0","0","6","0","5","16","0","0","36","0","-16","20","2","6","0","8","0","24","-6","0","22","0","-4","32","0","-12","-6","-84","0","50","28","-4","0","6","0","0","-16","-12","-20","0","-18","22","0","18","0","-38","2","0","0","0","-24","-8","0","12","0","-26","0","6","-4","0","-8","0","20","0","0","-31","-60","0","22","0","0","-40","75","0","0","44","-1","0","16","30","10","2","-4","-24","0","-10","-6","-4","0","0","0","0","0","0","0","-28","0","20","0","0","4","-6","-28","-10","0"],"lmfdb":"agrees","curve":{"cremona":"579b1","lmfdb":"579.a","ainvs":[1,0,0,-3,0],"rank":1,"torsion":2}},{"label":"579.2.a.b","letter":"b","dim":1,"charpoly":["-4","1"],"traces":["1","2","-1","2","2","-2","1","0","1","4","-1","-2","6","2","-2","-4","7","2","-6","4","-1","-2","4","0","-1","12","-1","2","-5","-4","0","-8","1","14","2","2","10","-12","-6","0","-6","-2","1","-2","2","8","-9","4","-6","-2","-7","12","1","-2","-2","0","6","-10","8","-4","-10","0","1","-8","12","2","-15","14","-4","4","-13","0","14","20","1","-12","-1","-12","-6","-8","1","-12","10","-2","14","2","5","0","-5","4","6","8","0","-18","-12","8","-19","-12","-1","-2","2","-14","0","0","-2","2","12","-2","-5","-4","-10","-4","15","12","8","-10","6","16","7","0","-10","-20","6","0","-12","2","-8","0","-1","24","2","2","-6","-30","-2","0","-2","-8","-11","4","9","-26","-6","-4","-10","28","6","20","3","2","11","0","7","-2","0","-12","-19","-12","-1","-16","4","2","10","-12","2","20","12","0","23","28","-6","2","1","10","-1","4","-8","-10","24","4","22","12","10","0","20","0","-7","-18","-1","-24","6","8","1","-38","-12","-12","10","-2","13","0","15","4","-5","-14","-12","0","4","-24","6","-4","20","2","13","24","2","0","0","-10","-14","-4","42","-20","4","-8","-1","30","0","12","-7","16","1","0","10","12","-18","16","6","14","18","8","-26","-20","-1","-20","-12","12","-36","0","-10","-24","8","2","-4","-16","-14","16","8","-2","10","24","-5","4","-23","0","2","-12","5","-30","-15","-4","-10","-28","-6","-4","1","-8","7","-22","0","0","5","18","-30","-26","12","-12","-6","-8","32","-20","19","28","24","12","16","0","1","6","24","2","1","22","-2","24","-20","14","2","-2","0","0","-24","0","0","-38","2","-12","18","-2","5","-16","-12","8","-42","2","-6","20","5","0","-9","4","1","20","10","24","-30","4","13","46","-15","28","0","-12","-13","0","-8","2","-12","10","-24","-2","-6","8","29","-16","-26","-10","-7","48","-8","0","17","44","10","12","28","20","-32","-16","-6","40","1","0","20","-14","12","0","-30","-2","-13","-24","8","12","12","0","-2","2","1","-38","-18","-24","28","0","-2","20","-12","-2","6","26","6","4","27","30","0","4","2","-10","-10","0","-14","-24","2","0","8","8","20","-48","11","12","-12","-4","14","40","-9","0","-7","26","-10","24","6","4","21","4","-2","0","10","-10","-24","-28","-8","0","-6","84","-9","-20","-10","8","-3","-8","4","-2","6","30","-11","0","12","0","18","-14","-7","16","-30","2","8","20","0","20","32","12","-15","-36","19","0","-1","12","6","14","1","36","6","16","60","-52","-4","-20","-38","-2","-31","0","-10","-24","11","12","-35","-72","-2","0","-13","-20","2","-24","-12","16","-16","0","4","-8","-23","-16","-14","-28","14","32","6","16","0","-2","9","20","-1","0","-42","-10","-1","4","1","-46","0","-4","-7","4","8","-12","-36","10","24","0","-24","-30","6","-4","10","-20","-22","-56","-10","-12","28","-4","-10","2","30","0","-6","14","-20","-22","-29","0","6","-8","7","10","14","18","30","-60","1","0","-6","24","-43","-12","-6","-12","-4","-8","-17","64","-1","-20","10","38","-1","0","12","48","12","12","0","32","-10","-40","2","2","14","6","-13","48","-13","0","20","2","-15","22","-20","-4","-35","48","5","-40","-54","14","14","4","12","0","21","0","26","0","-4","-48","-5","24","-19","0","-6","-38","70","4","16","0","-20","36","-16","-2","-36","10","-13","0","-38","-24","36","8","-2","-84","24","0","-8","-12","0","20","-30","10","4","24","14","-18","4","4","10","2","-42","0","-12","20","-20","24","-4","-60","10","8","-32","26","1","46","24","-30","-19","0","0","0","11","-12","-4","-26","7","-4","6","-16","-33","2","-1","-24","-22","0","-42","-48","-10","-2","3","-12","-60","8","18","58","2","-16","35","-52","-6","0","0","-14","-12","48","-18","-16","-24","-8","0","34","26","44","5","20","16","0","1","56","7","20","44","-64","12","-32","15","-12","14","40","36","2","16","0","6","40","10","-14","12","24","25","36","-8","-60","22","-2","-14","-26","4","0","15","16","-5","12","14","24","48","-16","7","-4","-8","2","30","2","0","0","-10","-36","36","-24","13","56","5","24","-38","-4","-8","20","23","-24","15","0","-60","12","-2","26","48","12","-63","8","-5","54","-14","30","8","0","15","0","-3","4","44","-10","10","-20","20","28","-6","-28","6","-24","-20","4","4","0","-1","16","6","8","28","40","-7","-48","-42","22","24","12","0","-24","-34","0","-4","28","-5","40","46","-18","-10","-4","30","-14","40","26","7","-20","-12","0","18","12","28","4","6","42","11","8","2","-4","-32","0","6","20","-90","0","-19","-48","-12","-28","40","-16","-24","8","0","-12","38","84","-16","-18","3","0","-8","-20","-1","8","54","-6","48","0","-24","8","0","-2","7","12","-1","0","44","-22","-20","0","2","24","-6","-24","-10","36","20","-14","2","-14","-32","0","-2","-60","-78","2","-10","16","0","40","-30","0","36","20","24","64","-14","0","26","-30","0","-36","-28","38","-24","-32","-2","-2","-18","12","84","12","-18","0","-6","2","12","36","-5","12","-2","16","-31","120","12","-52","2","-8","17","0","42","-76","-18","-2","-11","-62","6","40","-54","-20","5","-24","-5","22","62","0","20","-70","9","-72","4","-4","2","0","-1","-26","26","-20","21","4","-10","0"],"lmfdb":"agrees","curve":{"cremona":"579a1","lmfdb":"579.b","ainvs":[0,-1,1,-2,11],"rank":0,"torsion":1}},{"label":"579.2.a.c","letter":"c","dim":2,"charpoly":["7","6","1"],"traces":["2","-2","-2","-2","-4","2","4","6","2","4","0","2","4","-4","4","-2","-4","-2","0","4","-4","0","-8","-6","2","-4","-2","-4","-4","-4","-4","-10","0","4","-16","-2","-12","0","-4","-12","-4","4","4","0","-4","8","-8","2","10","-2","4","-4","-12","2","4","12","0","4","-8","-4","-4","4","4","14","0","0","-8","4","8","16","-8","6","4","12","-2","0","-8","4","8","4","2","4","8","4","4","-4","4","0","-20","4","-8","8","4","8","-8","10","0","-10","0","-2","-4","-4","8","12","16","12","-8","2","-28","-4","12","-4","4","0","16","4","4","8","0","12","-18","4","4","4","0","-4","-8","6","-4","0","-16","0","16","8","4","-12","12","-8","-8","16","8","8","8","-2","-4","-4","-10","12","-4","2","16","0","-4","8","32","4","-20","-8","12","20","-16","-2","32","4","-4","-8","24","-12","-2","-4","0","-4","20","-4","36","0","8","20","-32","4","0","8","4","-24","24","-4","-4","8","-4","8","-32","-14","-2","0","0","-10","-4","0","28","6","8","4","16","-4","-4","-8","-8","-4","-8","-16","-20","12","8","8","16","-6","-56","28","-4","-4","-16","-12","-8","-20","2","-4","0","0","-40","-16","8","-12","-20","-4","20","8","-8","0","24","-4","-4","18","-2","4","-52","-4","-16","-12","-8","0","16","-4","0","8","-4","-34","36","4","-24","0","-4","16","-24","0","28","-16","20","8","12","-4","-24","4","8","-12","-16","-8","-20","8","-4","-48","4","-8","0","8","8","-8","16","-10","-22","4","0","-4","20","10","8","-36","0","4","-16","2","-40","-16","4","0","8","4","-24","8","-8","-32","48","-12","4","20","-16","-8","44","-12","-12","-28","8","16","8","-2","-28","-32","28","-12","-24","4","12","-8","-12","-24","48","4","16","2","-4","-4","24","0","56","12","-16","-20","0","-4","12","-36","-4","0","20","-8","12","20","0","32","40","-12","-22","0","18","8","-48","-4","8","8","-4","-24","-32","-4","-12","4","0","-24","-32","4","40","8","8","32","16","-6","24","2","4","0","-76","0","16","30","16","4","-16","0","-44","-28","-16","-2","20","-8","40","4","-4","-16","0","12","48","4","-12","-8","0","8","-48","-20","8","8","48","-16","4","20","-8","-36","12","-8","-8","8","-8","-16","-72","2","52","56","4","28","0","4","0","12","10","16","32","-12","52","8","4","28","-4","-2","-12","-4","-16","0","16","0","-4","40","4","-16","-44","-8","32","4","-32","20","24","-4","-80","-20","20","-24","24","8","32","0","-12","-24","0","-20","-24","4","16","18","32","2","48","-12","-32","52","0","-4","20","16","4","4","-8","8","40","0","-24","-16","8","12","24","0","2","8","-44","4","88","22","0","-36","-40","4","4","24","-20","0","36","4","-4","16","-36","24","-16","0","-14","-28","-8","-16","-32","-20","8","-24","32","-12","-32","-4","36","24","0","20","72","-8","-12","-12","-4","16","24","24","16","20","-24","8","-4","4","56","16","4","-4","0","-8","28","0","4","-24","4","-8","12","-8","32","-16","-8","14","-8","22","2","4","80","0","4","12","0","-20","-16","10","-48","-8","4","12","-28","0","8","4","-28","16","8","-6","44","40","-8","-16","36","-4","-16","0","-16","-8","-8","4","-12","24","4","-24","12","8","8","-32","8","-48","-64","4","6","-4","8","20","24","16","-80","24","20","-44","0","-12","-44","12","-8","-12","-4","-8","56","16","-16","-8","24","6","-8","28","56","-32","36","-28","8","4","4","24","-48","4","-12","-12","16","24","-48","12","16","-24","8","-48","0","20","68","-16","-2","2","-36","4","-64","12","0","-24","0","0","-40","-56","40","-4","-16","16","12","-20","-8","0","32","12","20","-12","20","-36","-28","4","0","0","-20","-20","-40","-8","-48","-12","8","-60","16","0","-8","32","-24","-40","-24","4","64","22","4","0","44","-18","32","-24","2","48","-32","-4","12","-8","52","40","32","4","-8","-24","16","32","8","12","44","12","8","4","0","0","-36","8","-16","32","-16","4","-52","-40","0","-24","-76","-8","-88","32","4","-16","-32","34","-20","-24","-36","2","4","-4","-100","0","24","76","24","0","-4","-16","4","-10","8","-16","24","4","24","16","-64","0","-8","44","-28","-28","-12","16","12","-10","-20","-20","-40","-8","64","-40","-12","-12","12","4","24","-16","24","0","-64","-4","-48","-48","-8","4","52","12","16","24","16","0","-24","8","36","48","20","28","12","-8","-44","8","4","-48","-24","48","-14","-4","-4","20","36","8","-36","12","0","-12","48","-8","16","8","-8","-24","36","8","0","-16","-16","72","-40","10","-20","-52","22","56","0","-4","48","-84","0","0","-32","4","-52","0","-20","-4","52","-10","-32","16","-8","-32","-24","36","16","-52","0","8","-8","-4","56","12","16","4","-64","-2","20","12","40","12","0","16","16","0","-4","-16","-64","0","-32","4","-8","40","16","-4","64","48","24","44","-24","-8","-12","-32","8","20","-36","32","64","20","-48","-24","0","12","-16","80","-4","-20","-28","-20","16","8","16","-24","8","8","-72","-32","-44","0","12","12","64","-24","12","0","56","28","90","24","-8","4","4","-16","-32","-54","-8","-32","16","2","-48","-48","28","4","-52","32","12","52","-28","0","-8","12","-8","-20","24","16","-16","-4","-64","20","-12","8","-48","8","-8","-40","12","0"],"lmfdb":"agrees"},{"label":"579.2.a.d","letter":"d","dim":3,"charpoly":["-9","-3","4","1"],"traces":["3","0","-3","4","-4","0","3","-9","3","-1","-9","-4","-5","0","4","2","0","0","-3","-13","-3","0","0","9","-1","-9","-3","4","-13","1","5","-3","9","-10","-4","4","5","0","5","11","-7","0","-8","-12","-4","-30","12","-2","-18","12","0","10","-14","0","12","-9","3","-11","-6","13","-6","12","3","-7","-1","0","9","9","0","-1","-4","-9","12","12","1","-4","-9","9","3","8","3","25","-22","-4","1","-12","13","27","13","-1","-5","27","-5","13","4","3","10","0","-9","5","-15","10","4","6","4","11","-5","-4","-7","3","-5","2","-22","0","3","-16","-5","14","0","-11","-6","27","7","13","3","0","8","15","8","12","-6","12","-3","30","4","-10","-17","30","26","-13","-12","29","15","2","27","27","18","13","-22","-12","-17","9","0","0","-25","-10","-14","-3","14","30","0","0","-14","11","-12","29","-9","9","-14","21","-3","-17","-25","11","-1","-6","6","-9","15","-13","-31","-9","6","-30","-25","-12","0","30","-3","1","13","7","-3","15","1","-24","-21","0","-9","15","-9","-7","-13","-9","-36","-45","0","7","9","1","22","-20","4","1","29","9","5","-27","-12","39","9","-12","27","-3","-1","-1","-12","4","16","63","9","28","39","-9","-43","-72","-3","-10","-32","-8","11","0","-3","-58","24","-25","5","-3","22","-37","-10","4","0","6","-1","-20","-61","12","5","5","-13","-77","51","-27","9","0","-13","-15","-16","1","26","21","5","-32","3","-27","-17","-12","5","11","33","-13","49","-40","-4","27","-7","-3","-41","36","-10","-34","-10","0","58","-3","9","-31","27","-5","-8","48","15","-2","31","-10","41","-12","-4","-44","-33","-6","27","-36","-4","-19","-41","-11","39","17","5","-30","0","4","8","57","7","46","12","-3","-8","-64","5","-50","-15","-2","-21","15","22","-9","-15","0","-39","12","-3","15","57","16","-24","12","5","9","17","-14","11","34","0","26","-7","11","-54","15","6","10","7","-27","57","63","-7","-44","-14","-13","-25","30","-3","-23","23","0","-5","13","-8","-98","9","-15","12","0","-8","-43","9","-12","30","54","6","67","22","-12","-19","57","3","-43","1","-30","-2","12","-4","-11","-15","10","-77","-93","17","3","-6","-30","35","-18","-26","0","6","13","-53","-12","12","53","-12","-29","-6","1","-15","45","27","-2","-23","12","-27","-45","0","-27","0","-33","-18","0","-11","-13","-25","-27","22","-7","-21","12","21","-37","17","67","-1","-9","14","-12","0","-27","27","0","6","23","25","-46","-69","10","9","-57","14","32","24","3","1","9","-14","41","-1","-30","-2","69","0","-8","28","0","1","45","14","6","3","-11","11","9","12","-39","-4","-29","-19","63","9","52","-14","-9","-5","90","14","-29","8","-21","12","84","3","-24","42","17","-36","12","25","15","33","-11","111","87","1","16","-12","6","21","-27","-6","-4","32","9","-2","3","-15","66","54","13","-35","-54","31","3","72","9","8","-11","-6","-36","13","30","3","-36","25","114","-3","12","7","8","0","36","-17","-30","38","18","3","41","3","-1","7","-30","-13","25","-36","-7","60","-9","3","55","-22","-15","42","-9","-1","-8","-18","24","-5","24","21","-39","71","0","1","-10","9","0","-29","-15","50","-12","9","-83","8","7","75","3","13","-29","-6","9","19","-45","36","27","35","45","5","-28","0","-137","13","-7","-21","-63","-9","48","-12","-1","11","-12","-22","11","23","20","30","33","-4","-68","-14","-1","-12","27","-29","10","-6","-9","18","3","-5","-10","10","27","-10","-100","12","13","-9","-39","-54","-96","-9","95","4","12","33","33","-27","-66","18","3","15","-21","1","-75","-55","1","10","18","12","-36","-9","-4","43","0","-16","37","22","-63","17","-4","-9","-7","-102","-28","-25","-12","-39","5","-90","9","-5","21","43","33","-15","72","-42","-51","3","-48","-36","10","3","48","32","15","-57","8","4","0","-11","-12","-26","0","51","6","3","-35","12","58","-31","60","-24","9","-27","25","-18","-28","-5","11","20","3","41","-54","-22","-27","-5","37","-79","-45","10","39","35","-4","-26","-57","0","-11","21","-6","-7","37","1","30","-54","20","-18","3","61","-4","59","-12","47","-15","-5","60","7","-5","12","-27","13","-12","-12","77","33","-114","-51","31","-22","27","-40","42","-9","-89","48","0","-13","-54","13","-113","-36","15","3","-15","16","38","81","-1","-24","-16","-26","-36","-47","-21","8","-39","-5","10","-55","32","-42","-57","-3","14","-37","27","-2","-45","17","-5","0","12","17","12","-5","-72","-29","-11","-10","15","-33","23","60","13","-6","-41","-49","-3","-36","40","-7","27","4","16","42","-27","-14","41","7","49","-70","3","-11","15","41","13","-9","-36","-42","-6","10","30","3","34","-25","36","10","-24","13","0","-29","12","-58","-106","-27","3","8","6","-9","86","-12","31","-74","15","-27","116","-52","5","-11","-75","8","65","-3","-48","-21","-102","-15","12","-65","2","66","99","-31","15","-6","10","-20","54","-41","-149","-28","12","47","-9","4","42","-33","44","18","42","33","64","-3","6","96","30","-27","-66","92","36","-75","18","4","36","48","19","-70","-12","41","-10","77","11","61","-71","-39","94","-17","-17","-36","-15","-5","-56","4","30","-48","18","0","8","-35","-4","26","-9","-8","-35","-3","-57","-39","78","-7","-18","-1","-46","47","42","-12","-10","36","3","-50","-60","8","29","32","64","113","75","-5","-46"],"lmfdb":"agrees"},{"label":"579.2.a.e","letter":"e","dim":3,"charpoly":["1","9","6","1"],"traces":["3","0","3","0","-6","0","-9","-3","3","-3","3","0","-3","0","-6","-6","0","0","-9","-3","-9","-12","0","-3","3","3","3","0","-15","-3","-15","9","3","-6","18","0","-9","0","-3","9","3","0","0","6","-6","18","18","-6","6","18","0","-6","-12","0","0","9","-9","15","6","-3","-6","6","-9","-3","9","-12","-15","21","0","9","-18","-3","12","-30","3","0","-9","3","-15","24","3","15","12","0","-15","6","-15","9","-21","-3","9","9","-15","-9","18","9","-6","0","3","9","-3","-6","-12","0","18","-3","3","0","-3","27","-9","18","24","0","-27","-12","-3","30","0","9","-6","3","3","-3","-3","0","0","-3","0","0","24","6","27","0","-6","6","9","18","-6","9","18","15","-9","-6","27","-9","6","15","0","18","-21","9","0","36","27","-6","-18","-21","-12","-6","0","0","-6","-21","0","-15","27","9","-30","-3","-9","-21","9","15","-9","-12","6","33","9","-3","-15","-9","-6","-18","33","6","12","0","-9","9","15","-3","3","27","9","0","15","-12","39","-21","-15","-51","45","21","0","9","0","21","-9","9","42","-30","-18","-39","15","-3","45","45","12","-9","-21","-30","-51","-27","3","-15","-18","0","0","-63","-9","0","-9","3","-27","-24","-15","18","18","24","-21","-36","3","30","-12","15","9","9","12","-51","30","0","-36","-48","-15","36","-27","6","27","9","-15","-9","-9","9","57","0","-21","-27","12","-3","-6","-57","9","-12","-33","9","-9","12","-15","-27","-39","-9","39","-30","18","27","-9","9","27","-18","-6","-18","-18","0","-18","39","3","-21","-9","9","0","6","-3","18","-21","-6","-45","-18","-12","0","-33","0","-27","12","18","15","-45","-3","-45","-15","3","-54","0","0","-12","9","-3","-18","-54","27","-48","-6","-9","30","57","18","15","-9","24","-21","-27","0","45","-6","-27","69","39","-12","12","-54","-3","39","15","30","51","6","0","18","-27","9","-30","-63","-6","18","3","3","3","-45","3","84","36","-3","45","-48","-3","-9","27","0","-21","9","0","-18","-21","-3","0","0","0","9","-93","0","54","-6","24","75","36","6","3","21","27","-51","-57","0","18","12","-6","-45","51","6","39","-27","9","9","-18","18","-3","-12","-6","36","42","9","-63","42","18","15","54","15","18","15","-9","3","-15","-6","-9","-18","27","-45","0","-9","24","-27","6","12","45","15","3","9","0","9","-27","18","-27","21","-21","-51","-27","9","-6","-30","0","-9","-33","36","18","51","27","-42","-3","-6","45","9","-18","-36","-12","-21","-9","-63","-12","69","9","-6","-6","-9","0","36","-24","0","-3","3","-6","-6","15","-21","-33","-9","0","33","54","-15","15","3","27","-36","36","9","45","0","-30","33","6","-3","-36","-18","-9","-48","6","-21","36","90","9","-9","-9","15","63","-9","-9","-36","-6","-12","57","51","6","0","18","33","18","15","9","-78","6","-3","-57","-60","-15","-3","6","-9","12","69","-6","-12","45","-18","45","24","33","30","3","6","21","-72","12","-24","57","0","-54","-30","-9","3","3","9","51","-18","15","-45","126","-3","-24","-3","3","27","-36","27","-6","-3","9","72","78","0","45","-72","15","3","-21","-12","45","60","39","-36","-3","-21","30","-18","-15","33","12","-51","3","-27","45","-33","-18","21","-63","-9","0","-27","-57","9","51","18","0","15","63","21","39","99","-9","-60","30","9","-15","36","42","-33","15","-30","-6","99","-18","-36","-18","-39","0","-27","15","18","60","-3","-54","-33","45","-18","-72","45","-30","42","12","27","9","-9","-90","0","-21","3","-54","-30","27","-33","-51","42","-12","-27","-3","-27","3","9","33","-15","18","18","-18","72","69","0","-75","0","0","57","42","-63","-15","-48","-9","99","-30","0","-69","-36","-9","-27","-90","3","27","-33","-27","15","9","-24","-42","3","-15","-12","18","18","9","-18","18","-9","-57","24","36","0","-21","36","12","-36","-3","0","3","33","-78","30","-33","-96","-12","-63","-15","15","18","-6","9","9","54","9","-39","-12","12","33","-9","-51","9","-27","30","-45","3","0","18","45","-36","-27","45","-48","9","45","-15","-78","18","36","18","-81","-27","0","33","6","3","-21","27","12","-9","9","-48","81","-15","-12","84","-9","-45","-42","-9","63","-72","9","-24","6","57","3","42","0","-9","-54","-21","21","30","-27","81","-27","12","54","-27","-3","84","36","-6","-24","21","-57","0","81","9","18","-27","-12","6","3","-33","-90","-39","9","6","39","-9","-3","0","12","-51","-18","-15","36","57","-27","30","-3","-39","-21","60","-9","18","117","39","75","-90","-30","9","-9","18","36","-90","27","-66","21","-9","-93","-12","9","-39","-3","27","9","27","-18","42","-42","-6","-54","9","-18","-3","6","-18","0","39","0","-39","-6","-18","-42","51","39","0","-84","3","18","-54","-21","-18","9","-9","-36","90","9","-123","45","0","-9","57","6","-39","12","-3","0","75","18","42","-111","-21","-21","-72","-6","0","90","-45","-21","48","-18","-99","69","-12","-78","-39","0","-18","-24","-33","0","-9","0","36","0","-27","-18","12","12","-9","30","18","48","-24","15","6","-54","-45","-18","-21","-3","-57","-39","-45","-42","-27","-15","-12","51","3","0","-6","-54","12","42","0","-84","-111","0","18","-27","-12","-81","39","9","-87","-6","-3","66","75","-18","-63","78","-54","18","-54","27","42","-60","-48","-45","-102","-6","33","15","-9","54"],"lmfdb":"agrees"},{"label":"579.2.a.f","letter":"f","dim":10,"charpoly":["64","-480","-20","3745","1411","-1610","-251","243","-5","-10","1"],"traces":["10","2","-10","14","8","-2","-10","15","10","-1","10","-14","-1","14","-8","34","1","2","1","23","10","0","4","-15","28","-7","-10","-26","38","1","-15","37","-10","-14","-2","14","9","32","1","-1","23","-14","-13","44","8","-14","37","-34","32","30","-1","-26","29","-2","-26","19","-1","-29","10","-23","12","-28","-10","53","7","0","0","-17","-4","-31","37","15","-22","-52","-28","-44","-8","7","-1","42","10","1","-16","26","-1","2","-38","-45","36","-1","-9","-45","15","7","-4","-37","-7","-64","10","63","27","14","-52","-74","2","9","-25","-14","70","-101","-9","-102","3","-32","-55","0","-1","-58","-5","1","28","-3","-23","-55","81","14","-8","27","13","-136","-16","-44","9","-76","-8","-24","9","14","-19","-159","-37","-49","29","34","37","-55","-32","-25","71","-30","-4","3","1","110","9","26","-11","23","-29","-32","44","2","-16","-45","26","1","7","-19","35","-55","1","37","44","29","-44","76","-10","-11","3","23","43","29","-12","-38","47","28","-17","58","10","145","55","-53","10","21","-7","96","13","0","-50","119","0","-11","12","17","44","-19","4","101","-49","31","10","64","-37","-99","77","-15","-23","23","22","-29","47","52","-99","-51","28","69","-14","44","51","-87","8","-62","5","-7","27","20","1","-28","-6","-42","9","-4","-10","10","74","-1","-51","-123","16","125","-16","-26","12","-70","1","72","15","-2","-71","-131","38","51","48","45","31","-36","-36","-5","19","1","4","-11","9","-12","-28","45","-4","54","-15","45","58","-7","33","-24","4","43","17","37","-33","-56","7","-58","-6","64","-14","-81","-10","95","1","-63","67","54","-27","-118","-81","-14","-19","-78","52","108","59","74","-75","-66","-2","119","-47","-9","74","49","25","118","30","14","14","-17","-70","-56","-117","101","23","92","9","-32","21","102","18","-35","-3","-21","35","32","-110","4","55","69","49","0","4","-158","1","89","-54","58","105","126","5","2","21","-1","17","115","-28","-22","-65","3","-73","-89","23","40","-41","55","25","-16","-81","197","-15","-14","92","13","8","114","-7","-27","-110","2","-13","-1","71","136","-58","-102","16","-25","-46","44","-3","-69","-9","265","-8","76","-62","-92","8","201","-61","24","5","27","-9","-47","-122","-14","-95","-70","19","44","32","159","111","56","37","229","-105","49","-8","-195","-29","-1","-32","-34","-71","-32","-37","289","-40","55","-48","-361","32","32","0","25","29","-13","-71","-139","-9","30","7","113","4","-5","-37","-3","-76","-6","-1","-97","-51","-110","-114","-93","-9","104","-49","-26","-24","-25","11","-64","15","-23","-83","117","29","13","-83","32","-10","89","-44","44","-18","-2","32","119","16","12","-46","45","-90","-7","-26","-215","-57","-1","-31","149","-7","-2","-56","19","9","90","-35","-55","44","55","-110","128","-1","156","-58","-37","-61","-56","-44","-337","-1","-29","32","-181","44","-12","-40","-76","4","145","10","296","24","11","-82","-97","-3","-86","-54","-23","-19","138","-43","-17","-26","-29","-96","-79","12","-80","-1","38","-1","-130","-47","24","64","-28","-9","-392","17","-20","-67","-58","12","50","-10","-187","25","-145","22","274","-55","-65","-56","53","-127","-145","-10","-77","-100","-21","-113","-203","7","44","10","-96","69","-12","-13","15","-19","0","-1","262","50","8","34","-119","-46","-154","0","-33","-70","11","42","-19","-12","-53","88","-17","123","9","-44","305","12","19","-87","48","-4","-25","-38","-101","42","-65","49","-234","58","-31","-107","40","-10","-141","131","-64","-14","15","37","30","-120","99","-4","123","-77","-26","40","15","34","-199","23","-10","-50","-23","-74","-82","-22","-71","51","29","128","-30","-47","-57","48","-52","127","61","99","-86","32","51","21","49","-28","123","1","-69","129","-106","14","-112","54","-44","65","266","-51","21","-148","87","-38","4","-8","209","120","62","149","80","-5","-453","155","7","-73","149","-27","-177","159","-20","43","-147","-1","122","-108","28","65","60","6","39","7","42","-40","-2","-9","12","85","4","-11","382","10","9","27","-10","43","-184","-74","-227","-66","1","96","464","51","-61","54","123","39","34","-16","123","135","-125","60","355","16","47","7","26","-8","33","-12","173","44","70","-158","5","-1","-10","-26","-72","71","351","-15","14","25","2","-17","21","71","56","151","131","31","95","-38","144","-62","-51","63","-106","-48","-121","1","-45","-48","214","-31","-59","-36","36","-18","270","36","137","158","5","253","111","-19","-66","22","-1","-20","-42","-4","-292","21","11","-78","-63","-9","82","1","12","-94","-107","28","-70","-35","-45","50","-311","4","57","-12","-54","89","-288","15","6","125","-45","106","237","-58","11","28","7","-100","43","-33","-17","56","24","-42","-19","-4","-144","0","-43","22","139","-17","19","43","-37","-41","137","33","-27","161","56","-16","238","-7","46","-175","58","9","56","6","-248","-55","-64","-93","32","14","-10","-60","81","36","-162","10","-50","-134","-95","-58","-57","-1","104","48","63","-30","-27","-67","-43","-113","-54","45","-56","27","400","-31","118","112","-263","81","-23","152","14","72","-62","19","75","198","78","107","213","-52","-152","-19","-108","-38","296","-59","-84","153","-74","78","232","75","-50","12","66","-65","122","2","-114","46","-119","6","80","47","90","-61","9","-17","-3","-74","-122","-7","-49","3","-239","-25","76","8","-118","-145","-102","-30","-52","95","-14","-19","-203","-14","-57","47","17","132","484","70","218","61","56","-115","72","117","-366","-112","-101","-4","-28","-23","125","-138","-92","-64","221","-9","566"],"lmfdb":"agrees"},{"label":"579.2.a.g","letter":"g","dim":13,"charpoly":["1228","-820","-27748","38200","34519","-64085","15487","11772","-5443","-228","397","-32","-8","1"],"traces":["13","2","13","18","6","2","15","3","13","-1","3","18","11","-4","6","20","-2","2","9","-9","15","-8","-8","3","21","-15","13","16","5","-1","25","-17","3","-10","-10","18","29","-40","11","-21","-11","-4","8","-18","6","-6","-12","20","20","-4","-2","2","14","2","12","-7","9","9","10","-9","6","-14","15","23","-15","-8","25","-33","-8","-21","0","3","8","-2","21","20","-25","-15","7","-40","13","-19","-28","16","-3","2","5","-21","7","-1","7","9","25","-35","-26","-17","26","-14","3","-61","-11","-10","28","-28","-10","-33","-33","18","33","-13","29","-14","6","-40","-17","-24","11","-38","-42","-21","20","-35","-11","13","-9","-4","-36","-81","8","-24","-28","-18","21","32","6","-70","-27","-6","-6","-49","-12","-39","-61","20","-21","-47","20","53","38","-4","11","-65","-2","-88","-11","2","34","-51","14","-50","-56","2","-26","-15","12","-7","-11","-7","24","-11","9","15","13","9","23","4","10","-5","-31","-9","5","-23","6","-42","-39","-14","0","-40","15","-79","-25","23","-13","39","-15","42","-1","-8","47","61","25","57","-11","-33","44","115","-8","-65","3","-21","6","46","0","105","-47","3","25","33","8","-5","119","-2","19","65","21","-29","-58","20","64","71","-25","104","-19","-15","-59","72","7","-50","-2","-40","27","186","13","-22","84","-19","37","-43","-28","79","34","16","4","72","-3","62","-27","2","-3","93","5","-65","-29","-21","9","88","7","41","78","-1","2","61","7","-8","-41","9","79","-8","25","-109","37","-35","-11","186","-26","19","-55","-17","25","70","26","42","2","-14","-34","105","3","-3","-67","-61","52","74","-11","102","115","-10","-79","-138","28","80","-57","-28","7","44","-10","-115","91","-33","-17","63","-33","62","-60","18","-4","203","33","-106","-20","-13","-12","50","29","-46","-33","-14","7","-35","6","83","83","-40","57","134","-17","-25","-55","-24","92","98","11","-47","-33","-38","-37","158","-42","-58","-59","-21","36","181","20","102","43","-35","61","67","-11","-132","-18","13","-93","80","-9","33","-37","-4","-57","-71","-36","94","-73","-81","12","-2","8","-23","115","-24","-46","84","-28","63","-20","-18","9","-43","21","-145","79","32","-58","108","6","-95","15","-70","-17","197","-27","107","18","-6","-109","-4","-6","-116","-50","-49","111","82","-12","-215","-4","-39","-58","-17","-61","-11","-3","20","-27","26","-21","-29","8","-47","-52","145","20","-44","-39","53","15","-49","38","-55","-23","-4","-55","211","11","-61","-123","-65","-14","-34","-2","-107","63","-88","-6","1","-11","214","-95","2","-51","-7","34","-48","-34","-51","-51","43","14","-99","-111","-50","-58","19","-56","18","100","2","53","-155","-26","-134","-85","-15","-1","247","12","-19","84","-7","-35","-19","-11","116","-144","-7","-97","124","24","-97","66","-11","-48","-208","9","-152","-70","15","-20","30","13","19","13","9","-5","-77","23","108","-138","4","35","59","10","-32","-54","-5","-182","259","-31","-62","-130","-9","85","96","5","23","-30","-23","-52","-199","6","-164","-67","-42","-41","44","-39","38","135","-14","-73","-96","0","-96","-139","-40","30","-22","15","-223","-63","-79","-85","-74","-25","9","-90","23","0","-65","-13","59","96","39","-46","-121","-15","-4","-38","42","-61","-44","-1","369","-93","-8","-119","140","47","-84","-75","61","-34","34","25","-7","96","57","7","-297","-11","179","-22","-33","-17","-87","44","-49","-65","115","-27","170","-8","-29","-85","-65","-35","57","3","184","30","-21","119","-32","6","71","-141","46","122","-89","0","-80","134","105","68","-123","-47","186","-96","3","-158","9","25","86","28","33","14","-62","8","1","-53","-5","90","128","119","-5","-110","-2","-103","1","19","114","-104","65","-21","57","21","23","-63","-29","14","-106","-58","180","-59","20","-73","-64","64","-23","82","71","93","116","-25","-115","-134","104","-113","-180","-19","133","52","-15","75","97","-59","121","-127","72","178","-133","7","232","-6","-50","-161","-146","-2","123","-83","-40","-24","-74","27","-36","142","186","163","-180","13","-15","-148","-22","-39","104","84","77","-63","-19","-86","-110","37","207","-122","-43","-59","124","-28","-59","71","79","33","63","34","19","-51","16","-66","-155","4","109","-51","72","-3","57","-3","-134","-26","62","14","-73","-27","-18","41","2","119","-213","-3","24","19","93","168","35","5","-194","160","-65","-7","-122","-29","143","106","-21","124","-30","9","335","110","88","-57","120","7","-5","22","41","-153","-181","78","122","-31","-1","104","-88","2","-88","-27","61","4","-79","7","82","221","-8","90","165","-41","378","-99","9","70","237","79","-193","-56","-8","89","-82","25","76","-15","-109","-148","-45","37","203","136","-35","182","51","-11","121","6","186","1","-35","-26","136","-34","19","-110","-229","-55","169","94","-17","13","-61","25","-135","219","70","82","174","26","-254","15","42","47","-250","2","292","107","-14","63","166","-34","-30","-77","105","12","-272","3","-10","198","-3","86","245","-67","-196","38","-61","145","-3","52","65","155","74","-57","-248","-11","-60","-49","102","-210","215","115","99","64","-10","140","6","-79","243","0","-138","23","59","28","74","57","80","-14","-88","-57","28","97","-28","-152","-196","7","6","104","44","245","138","-10","16","72","-115","46","2","91","-86","-21","-33","-55","17","-17","-90","-147","63","214","-117","-33","-116","-6","62","68","168","-60","168","-7","18","26","-51","-4","-167","23","203","-35","-18","33","70","-37","-106","-213","78","-20","94","242","-13","114","-264","-12","-211","-14","50","41","-147","29","-10"],"lmfdb":"agrees"}],"seconds":0.309,"computed":"atlas","estimate":{"seconds":0.388,"low":0.237,"high":0.671,"bytes":2148203}}