{"label":"198.2.a","level":198,"weight":2,"dims":{"new":5,"cusp":29,"eisenstein":15,"modsym":73},"old":[[11,1,6],[33,1,4],[66,3,2],[99,4,2]],"T":[[5,1],[7,2],[13,3],[17,4],[19,5],[23,6],[29,7],[31,8],[37,9],[41,10],[43,11],[47,12]],"status":"proven","checks":["dim M^+ at levels [1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198]: [0, 1, 1, 3, 2, 2, 5, 5, 6, 16, 14, 40] (certified at ell = 2147482951)","T = [(5, 1), (7, 2), (13, 3), (17, 4), (19, 5), (23, 6), (29, 7), (31, 8), (37, 9), (41, 10), (43, 11), (47, 12)]; h of degree 5 = 1 x 5 (phi(ord eps) x dim S_k^new); 2 primes, 0 rejected"],"newforms":[{"label":"198.2.a.a","letter":"a","dim":1,"charpoly":["-220","1"],"traces":["1","-1","0","1","-2","0","-4","-1","0","2","1","0","-6","4","0","1","-2","0","4","-2","0","-1","-4","0","-1","6","0","-4","-6","0","0","-1","0","2","8","0","6","-4","0","2","6","0","4","1","0","4","12","0","9","1","0","-6","-2","0","-2","4","0","6","-12","0","-14","0","0","1","12","0","4","-2","0","-8","12","0","-6","-6","0","4","-4","0","-4","-2","0","-6","-4","0","4","-4","0","-1","-10","0","24","-4","0","-12","-8","0","-14","-9","0","-1","-14","0","0","6","0","2","-4","0","-6","2","0","-4","-2","0","8","-6","0","12","8","0","1","14","0","0","12","0","12","-1","0","-12","-4","0","-16","-4","0","2","-2","0","-4","8","0","-12","-6","0","12","6","0","6","10","0","4","-4","0","4","0","0","-10","4","0","2","16","0","-20","6","0","4","0","0","23","-4","0","4","10","0","4","1","0","10","-20","0","-2","-24","0","4","-12","0","-2","12","0","8","12","0","10","14","0","9","2","0","-16","1","0","14","24","0","-12","0","0","-6","4","0","-4","-2","0","4","-8","0","0","6","0","-2","12","0","0","4","0","2","-12","0","14","-8","0","6","-10","0","-24","-12","0","-8","-8","0","10","-1","0","-14","-18","0","-24","0","0","-12","4","0","-4","-12","0","1","-2","0","-24","12","0","4","24","0","4","16","0","4","-26","0","20","-2","0","2","-1","0","26","4","0","-8","22","0","4","12","0","6","-24","0","-13","-12","0","-6","-22","0","24","-6","0","-10","24","0","-16","-4","0","4","28","0","4","-4","0","0","-4","0","26","10","0","-4","-18","0","-6","-2","0","-16","-8","0","6","20","0","-6","-48","0","20","-4","0","0","-8","0","18","-23","0","4","0","0","-8","-4","0","-10","4","0","-6","-4","0","-1","-18","0","-24","-10","0","20","0","0","-3","2","0","24","12","0","-16","-4","0","12","8","0","-14","2","0","-12","36","0","-28","-8","0","-12","4","0","8","-10","0","-14","30","0","8","-9","0","-2","8","0","22","16","0","-1","38","0","0","-14","0","-24","6","0","-14","12","0","0","48","0","8","6","0","-4","12","0","-10","4","0","2","2","0","56","-4","0","8","0","0","2","0","0","-6","-16","0","4","2","0","-12","-28","0","20","0","0","-4","22","0","6","-2","0","12","-48","0","34","-14","0","8","-14","0","-24","-6","0","10","-12","0","-16","24","0","12","4","0","-4","8","0","8","0","0","-36","-10","0","1","28","0","-16","14","0","18","28","0","12","24","0","0","-48","0","-4","12","0","-4","-32","0","28","4","0","12","22","0","24","-1","0","2","0","0","12","24","0","-12","-18","0","20","-4","0","-24","0","0","-7","-4","0","-16","-36","0","8","-4","0","26","9","0","-38","-20","0","2","12","0","-28","-2","0","1","-24","0","16","-26","0","-4","-30","0","-24","8","0","-22","20","0","4","-4","0","-12","-10","0","-20","-6","0","24","4","0","-46","13","0","12","16","0","-2","6","0","22","36","0","0","-24","0","6","30","0","-16","10","0","-24","-36","0","10","16","0","4","-2","0","28","-4","0","-28","-72","0","-6","-4","0","4","22","0","-4","0","0","4","40","0","-19","-26","0","-10","-12","0","-8","4","0","18","-24","0","-54","6","0","2","-42","0","-28","16","0","8","28","0","-12","-6","0","-20","-18","0","8","6","0","48","36","0","-18","-20","0","4","32","0","24","0","0","8","-14","0","26","-18","0","23","-46","0","56","-4","0","0","-12","0","4","8","0","4","12","0","-12","10","0","-4","8","0","-12","6","0","4","-30","0","24","1","0","18","56","0","-18","24","0","10","0","0","12","-20","0","0","-12","0","0","3","0","-2","6","0","0","-24","0","-12","-8","0","-22","16","0","4","4","0","44","-12","0","-8","32","0","-20","14","0","-2","16","0","32","12","0","-36","-8","0","38","28","0","8","-42","0","24","12","0","-4","72","0","10","-8","0","10","-18","0","0","14","0","-30","24","0","12","-8","0","9","20","0","-20","2","0","-8","8","0","84","-22","0","-16","54","0","-24","1","0","-38","-6","0","-32","0","0","14","-10","0","-28","24","0","-6","40","0","16","14","0","-12","2","0","-40","0","0","-48","52","0","46","-8","0","-6","-18","0","0","4","0","-12","-12","0","7","10","0","-4","-46","0","-4","-2","0","-2","-24","0","-6","-56","0","4","-26","0","4","-8","0","0","-20","0","-20","-2","0","0","-4","0","-24","6","0","16","-48","0","42","-4","0","-2","14","0","4","12","0","28","0","0","-48","-20","0","0","48","0","40","4","0","-22","0","0","4","-6","0","2","4","0","28","-12","0","48","-12","0","-4","-34","0","14","16","0","-4","-8","0","14","-72","0","-6","24","0","6","-42","0","36","-10","0","12","4","0","-38","16","0","-24","42","0","-24","-12","0","-4","-12","0","36","4","0","-8","6","0","-24","-8","0","0","8","0","-31","36","0","10","-20","0","-44","-1","0","-28","-12","0","16","16","0","-14","-26","0","-10","-18","0","-28","-36","0","-4","-12","0","-24","-16","0","32","0","0","48","32","0","-14","4","0","-12"],"lmfdb":"agrees","curve":{"cremona":"198a1","lmfdb":"198.a","ainvs":[1,-1,0,-18,4],"rank":1,"torsion":2},"derived":{"al":[[2,1],[3,null],[11,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"198.2.a.b","letter":"b","dim":1,"charpoly":["242","1"],"traces":["1","-1","0","1","0","0","2","-1","0","0","1","0","2","-2","0","1","6","0","2","0","0","-1","0","0","-5","-2","0","2","6","0","-4","-1","0","-6","0","0","2","-2","0","0","-6","0","-10","1","0","0","-12","0","-3","5","0","2","12","0","0","-2","0","-6","-12","0","-10","4","0","1","0","0","8","6","0","0","-12","0","14","-2","0","2","2","0","2","0","0","6","12","0","0","10","0","-1","0","0","4","0","0","12","0","0","2","3","0","-5","6","0","8","-2","0","-12","-12","0","2","0","0","2","-12","0","0","6","0","12","12","0","1","10","0","-4","0","0","2","-1","0","0","-12","0","4","-8","0","-6","-12","0","2","0","0","12","2","0","0","-14","0","2","18","0","-22","-2","0","-2","0","0","14","-2","0","0","0","0","-4","-6","0","-12","0","0","-9","0","0","-10","6","0","-10","1","0","0","0","0","-22","-4","0","0","0","0","6","-12","0","0","12","0","-22","-2","0","-3","6","0","20","5","0","-6","12","0","0","-8","0","2","2","0","-22","12","0","12","0","0","-8","-2","0","0","12","0","8","-2","0","12","12","0","14","0","0","-6","-6","0","0","-12","0","-12","0","0","14","-1","0","-10","0","0","4","4","0","0","0","0","0","-2","0","1","-24","0","4","0","0","12","24","0","0","-4","0","8","12","0","-10","6","0","12","-5","0","26","-2","0","0","-30","0","14","-12","0","-2","-12","0","19","0","0","14","-6","0","0","-2","0","-18","0","0","-20","22","0","2","0","0","2","2","0","0","24","0","14","-14","0","2","-24","0","6","0","0","0","12","0","-10","4","0","6","-24","0","20","12","0","0","0","0","14","9","0","0","-4","0","-20","10","0","-6","-12","0","-10","10","0","-1","-24","0","0","0","0","0","0","0","-15","22","0","4","0","0","32","0","0","0","24","0","-10","-6","0","12","12","0","-28","0","0","-12","-24","0","0","22","0","2","24","0","0","3","0","-6","0","0","2","-20","0","-5","12","0","-8","6","0","-12","2","0","14","0","0","8","-24","0","0","-2","0","-2","24","0","-22","22","0","-12","-30","0","-20","-12","0","0","0","0","-34","8","0","2","0","0","-10","0","0","-12","12","0","0","-8","0","2","-24","0","-6","-12","0","-12","0","0","-10","-14","0","0","18","0","-16","6","0","6","12","0","16","0","0","12","-10","0","-10","12","0","0","-24","0","4","-14","0","1","0","0","-28","10","0","0","-36","0","36","-4","0","-4","-24","0","32","0","0","0","24","0","0","0","0","2","36","0","28","-1","0","24","0","0","-12","-4","0","0","36","0","38","-12","0","-24","-24","0","-23","0","0","4","-12","0","0","-8","0","-12","-3","0","26","10","0","-6","0","0","14","-12","0","5","12","0","4","-26","0","2","18","0","-20","0","0","30","12","0","0","-14","0","12","6","0","-10","2","0","12","0","0","2","-19","0","0","24","0","12","-14","0","6","12","0","-8","0","0","2","18","0","0","18","0","0","48","0","26","20","0","-22","0","0","2","-2","0","0","-24","0","14","-2","0","-2","12","0","-4","0","0","-24","0","0","25","-14","0","14","12","0","44","-2","0","24","0","0","-6","-6","0","0","0","0","-4","0","0","-12","-24","0","-12","10","0","-4","-12","0","0","-6","0","24","36","0","-10","-20","0","-12","0","0","0","0","0","0","-10","0","2","-14","0","-9","-18","0","4","0","0","4","-24","0","0","20","0","-10","24","0","-28","6","0","12","0","0","-36","10","0","-10","18","0","4","1","0","24","12","0","14","0","0","0","0","0","0","0","0","0","-36","0","16","15","0","-22","-30","0","-28","-4","0","0","-60","0","-22","-32","0","0","8","0","-34","0","0","-24","24","0","0","10","0","6","-24","0","-28","-12","0","-12","0","0","-22","28","0","0","30","0","4","12","0","24","-24","0","26","0","0","-22","-12","0","20","-2","0","-24","-12","0","-12","0","0","-3","0","0","38","6","0","0","-24","0","-20","-2","0","20","48","0","-72","5","0","-12","14","0","0","8","0","-6","30","0","2","12","0","-2","0","0","-20","-14","0","0","-18","0","32","-8","0","24","-36","0","-34","0","0","2","-18","0","0","2","0","-24","-24","0","7","22","0","-22","0","0","2","12","0","30","0","0","-34","20","0","12","30","0","-4","0","0","0","-24","0","0","34","0","-8","2","0","16","-2","0","0","0","0","14","10","0","0","36","0","32","12","0","-12","24","0","4","0","0","8","-24","0","0","-2","0","24","-24","0","72","6","0","12","0","0","-28","12","0","0","36","0","12","10","0","14","-24","0","38","0","0","-18","-24","0","-10","16","0","-6","-12","0","-6","-6","0","-12","0","0","50","-16","0","0","54","0","0","-12","0","10","-48","0","28","10","0","-12","6","0","0","0","0","24","-24","0","-15","-4","0","14","0","0","-22","-1","0","0","-60","0","4","28","0","-10","12","0","0","0","0","36","24","0","0","-36","0","4","0","0","44","4","0","24","0","0","-10","-32","0","0"],"lmfdb":"agrees","curve":{"cremona":"198d1","lmfdb":"198.b","ainvs":[1,-1,0,-87,333],"rank":0,"torsion":6},"derived":{"al":[[2,1],[3,null],[11,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"198.2.a.c","letter":"c","dim":1,"charpoly":["48","1"],"traces":["1","-1","0","1","4","0","-2","-1","0","-4","-1","0","4","2","0","1","2","0","0","4","0","1","6","0","11","-4","0","-2","-10","0","-8","-1","0","-2","-8","0","-2","0","0","-4","-2","0","4","-1","0","-6","2","0","-3","-11","0","4","-4","0","-4","2","0","10","0","0","-8","8","0","1","16","0","-12","2","0","8","-2","0","-6","2","0","0","2","0","10","4","0","2","-4","0","8","-4","0","1","-10","0","-8","6","0","-2","0","0","-2","3","0","11","-2","0","4","-4","0","4","12","0","20","4","0","-2","6","0","24","-10","0","0","-4","0","1","8","0","-8","24","0","-22","-1","0","-16","-12","0","0","12","0","-2","2","0","0","-8","0","2","-4","0","-40","6","0","-2","10","0","2","0","0","-2","-32","0","18","-10","0","-4","-12","0","4","-2","0","4","12","0","3","-8","0","4","6","0","-22","-1","0","10","0","0","2","8","0","-6","-8","0","-2","2","0","0","-22","0","14","2","0","-3","-18","0","20","-11","0","2","20","0","-8","-4","0","4","0","0","12","-4","0","-12","16","0","16","-20","0","-4","8","0","-16","2","0","-6","12","0","10","-24","0","10","6","0","8","0","0","4","20","0","-18","-1","0","-8","-12","0","0","8","0","-24","8","0","-6","22","0","1","-18","0","4","16","0","12","16","0","-16","0","0","-12","20","0","22","2","0","-2","-11","0","8","0","0","8","-22","0","4","-2","0","4","4","0","-13","40","0","-6","-14","0","0","2","0","-10","24","0","-8","-2","0","0","-32","0","8","2","0","32","-2","0","-6","-18","0","10","32","0","10","4","0","12","0","0","44","-4","0","2","-4","0","-28","-4","0","-12","-48","0","-22","-3","0","8","8","0","20","-4","0","-6","12","0","-20","22","0","1","6","0","-8","-10","0","0","20","0","-19","-2","0","-8","-24","0","8","6","0","8","8","0","4","2","0","-2","-40","0","-20","0","0","22","6","0","8","-14","0","-2","20","0","12","3","0","18","40","0","18","-20","0","11","18","0","-32","-2","0","-20","2","0","-10","8","0","4","0","0","-16","-4","0","0","0","0","-18","-12","0","4","22","0","16","12","0","-16","-32","0","-6","-16","0","20","0","0","10","4","0","-8","-24","0","-40","16","0","-2","-30","0","2","6","0","-12","-32","0","-2","-10","0","24","18","0","4","-10","0","-6","-28","0","24","-8","0","0","-4","0","0","-4","0","-20","-40","0","-8","18","0","1","-8","0","28","8","0","12","-12","0","-20","0","0","-8","4","0","-20","24","0","-8","-4","0","-8","6","0","-22","20","0","12","-1","0","18","16","0","-2","-4","0","-16","18","0","44","-12","0","-16","-16","0","13","16","0","0","-8","0","48","12","0","-20","3","0","12","-22","0","-2","80","0","-32","2","0","11","0","0","-20","-8","0","0","-38","0","16","-8","0","22","36","0","24","-4","0","2","10","0","32","-4","0","-4","66","0","-2","13","0","-40","8","0","4","6","0","14","-8","0","0","0","0","-2","-14","0","-16","10","0","-24","30","0","42","8","0","2","4","0","-22","0","0","32","8","0","-16","-8","0","-2","22","0","-20","-32","0","2","20","0","41","6","0","18","-4","0","-48","-10","0","-32","-88","0","-12","-10","0","-4","18","0","44","-12","0","0","22","0","0","-44","0","4","-24","0","-48","-2","0","4","20","0","42","28","0","4","0","0","-60","12","0","48","8","0","14","22","0","3","22","0","4","-8","0","-8","16","0","8","-20","0","4","-16","0","52","6","0","-12","0","0","-4","20","0","-22","18","0","0","-1","0","-6","4","0","10","8","0","10","-48","0","-16","0","0","-20","-10","0","-8","19","0","2","-110","0","28","8","0","24","8","0","4","-8","0","-6","12","0","20","-8","0","-8","-44","0","40","-4","0","-2","-24","0","-8","2","0","40","8","0","-42","20","0","0","-22","0","-40","-22","0","-6","0","0","-50","-8","0","14","-4","0","-88","2","0","-20","0","0","2","-12","0","-3","72","0","-52","-18","0","-40","-12","0","-32","-18","0","20","-28","0","4","-11","0","-18","6","0","-48","32","0","2","-10","0","12","20","0","-2","16","0","0","10","0","-8","38","0","24","-4","0","0","12","0","30","16","0","4","-6","0","48","0","0","0","-30","0","71","18","0","12","12","0","-2","-4","0","-22","-12","0","24","-16","0","-12","22","0","-20","16","0","32","-54","0","24","6","0","16","-10","0","-48","-20","0","0","-48","0","28","-10","0","-4","38","0","44","8","0","24","12","0","44","40","0","-16","0","0","0","2","0","30","80","0","-8","-2","0","-6","8","0","-12","12","0","32","-2","0","4","2","0","10","24","0","-10","-24","0","-18","-8","0","-22","-4","0","10","-30","0","0","6","0","28","-8","0","58","-24","0","8","-42","0","-12","0","0","4","-28","0","-24","0","0","4","6","0","-88","20","0","40","-4","0","33","8","0","-18","56","0","-22","-1","0","8","-32","0","0","-28","0","-8","-38","0","10","-12","0","12","46","0","-72","20","0","0","24","0","-8","8","0","-4","80","0","-52","20","0","-24"],"lmfdb":"agrees","curve":{"cremona":"198e1","lmfdb":"198.c","ainvs":[1,-1,0,-405,-2187],"rank":0,"torsion":2},"derived":{"al":[[2,1],[3,null],[11,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"198.2.a.d","letter":"d","dim":1,"charpoly":["-34","1"],"traces":["1","1","0","1","0","0","2","1","0","0","-1","0","2","2","0","1","-6","0","2","0","0","-1","0","0","-5","2","0","2","-6","0","-4","1","0","-6","0","0","2","2","0","0","6","0","-10","-1","0","0","12","0","-3","-5","0","2","-12","0","0","2","0","-6","12","0","-10","-4","0","1","0","0","8","-6","0","0","12","0","14","2","0","2","-2","0","2","0","0","6","-12","0","0","-10","0","-1","0","0","4","0","0","12","0","0","2","-3","0","-5","-6","0","8","2","0","-12","12","0","2","0","0","2","12","0","0","-6","0","12","-12","0","1","-10","0","-4","0","0","2","1","0","0","12","0","4","8","0","-6","12","0","2","0","0","12","-2","0","0","14","0","2","-18","0","-22","2","0","-2","0","0","14","2","0","0","0","0","-4","6","0","-12","0","0","-9","0","0","-10","-6","0","-10","-1","0","0","0","0","-22","4","0","0","0","0","6","12","0","0","-12","0","-22","2","0","-3","-6","0","20","-5","0","-6","-12","0","0","8","0","2","-2","0","-22","-12","0","12","0","0","-8","2","0","0","-12","0","8","2","0","12","-12","0","14","0","0","-6","6","0","0","12","0","-12","0","0","14","1","0","-10","0","0","4","-4","0","0","0","0","0","2","0","1","24","0","4","0","0","12","-24","0","0","4","0","8","-12","0","-10","-6","0","12","5","0","26","2","0","0","30","0","14","12","0","-2","12","0","19","0","0","14","6","0","0","2","0","-18","0","0","-20","-22","0","2","0","0","2","-2","0","0","-24","0","14","14","0","2","24","0","6","0","0","0","-12","0","-10","-4","0","6","24","0","20","-12","0","0","0","0","14","-9","0","0","4","0","-20","-10","0","-6","12","0","-10","-10","0","-1","24","0","0","0","0","0","0","0","-15","-22","0","4","0","0","32","0","0","0","-24","0","-10","6","0","12","-12","0","-28","0","0","-12","24","0","0","-22","0","2","-24","0","0","-3","0","-6","0","0","2","20","0","-5","-12","0","-8","-6","0","-12","-2","0","14","0","0","8","24","0","0","2","0","-2","-24","0","-22","-22","0","-12","30","0","-20","12","0","0","0","0","-34","-8","0","2","0","0","-10","0","0","-12","-12","0","0","8","0","2","24","0","-6","12","0","-12","0","0","-10","14","0","0","-18","0","-16","-6","0","6","-12","0","16","0","0","12","10","0","-10","-12","0","0","24","0","4","14","0","1","0","0","-28","-10","0","0","36","0","36","4","0","-4","24","0","32","0","0","0","-24","0","0","0","0","2","-36","0","28","1","0","24","0","0","-12","4","0","0","-36","0","38","12","0","-24","24","0","-23","0","0","4","12","0","0","8","0","-12","3","0","26","-10","0","-6","0","0","14","12","0","5","-12","0","4","26","0","2","-18","0","-20","0","0","30","-12","0","0","14","0","12","-6","0","-10","-2","0","12","0","0","2","19","0","0","-24","0","12","14","0","6","-12","0","-8","0","0","2","-18","0","0","-18","0","0","-48","0","26","-20","0","-22","0","0","2","2","0","0","24","0","14","2","0","-2","-12","0","-4","0","0","-24","0","0","25","14","0","14","-12","0","44","2","0","24","0","0","-6","6","0","0","0","0","-4","0","0","-12","24","0","-12","-10","0","-4","12","0","0","6","0","24","-36","0","-10","20","0","-12","0","0","0","0","0","0","10","0","2","14","0","-9","18","0","4","0","0","4","24","0","0","-20","0","-10","-24","0","-28","-6","0","12","0","0","-36","-10","0","-10","-18","0","4","-1","0","24","-12","0","14","0","0","0","0","0","0","0","0","0","36","0","16","-15","0","-22","30","0","-28","4","0","0","60","0","-22","32","0","0","-8","0","-34","0","0","-24","-24","0","0","-10","0","6","24","0","-28","12","0","-12","0","0","-22","-28","0","0","-30","0","4","-12","0","24","24","0","26","0","0","-22","12","0","20","2","0","-24","12","0","-12","0","0","-3","0","0","38","-6","0","0","24","0","-20","2","0","20","-48","0","-72","-5","0","-12","-14","0","0","-8","0","-6","-30","0","2","-12","0","-2","0","0","-20","14","0","0","18","0","32","8","0","24","36","0","-34","0","0","2","18","0","0","-2","0","-24","24","0","7","-22","0","-22","0","0","2","-12","0","30","0","0","-34","-20","0","12","-30","0","-4","0","0","0","24","0","0","-34","0","-8","-2","0","16","2","0","0","0","0","14","-10","0","0","-36","0","32","-12","0","-12","-24","0","4","0","0","8","24","0","0","2","0","24","24","0","72","-6","0","12","0","0","-28","-12","0","0","-36","0","12","-10","0","14","24","0","38","0","0","-18","24","0","-10","-16","0","-6","12","0","-6","6","0","-12","0","0","50","16","0","0","-54","0","0","12","0","10","48","0","28","-10","0","-12","-6","0","0","0","0","24","24","0","-15","4","0","14","0","0","-22","1","0","0","60","0","4","-28","0","-10","-12","0","0","0","0","36","-24","0","0","36","0","4","0","0","44","-4","0","24","0","0","-10","32","0","0"],"lmfdb":"agrees","curve":{"cremona":"198c1","lmfdb":"198.d","ainvs":[1,-1,1,-65,209],"rank":0,"torsion":6},"derived":{"al":[[2,-1],[3,null],[11,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"198.2.a.e","letter":"e","dim":1,"charpoly":["8","1"],"traces":["1","1","0","1","0","0","2","1","0","0","1","0","-4","2","0","1","6","0","-4","0","0","1","-6","0","-5","-4","0","2","-6","0","8","1","0","6","0","0","-10","-4","0","0","-6","0","8","1","0","-6","6","0","-3","-5","0","-4","0","0","0","2","0","-6","0","0","8","8","0","1","0","0","-4","6","0","0","-6","0","2","-10","0","-4","2","0","14","0","0","-6","12","0","0","8","0","1","6","0","-8","-6","0","6","0","0","14","-3","0","-5","-6","0","-4","-4","0","0","12","0","-4","0","0","2","-18","0","0","-6","0","0","12","0","1","8","0","8","0","0","14","1","0","0","12","0","-8","-4","0","6","18","0","-4","0","0","-6","-4","0","0","2","0","-10","6","0","-10","-4","0","2","0","0","2","14","0","0","-12","0","-4","-6","0","12","-12","0","3","0","0","8","-6","0","-10","1","0","6","-24","0","-22","-8","0","-6","0","0","6","6","0","0","-18","0","14","14","0","-3","-6","0","-4","-5","0","-6","-12","0","0","-4","0","-4","-4","0","8","0","0","12","0","0","16","-4","0","0","-24","0","-16","2","0","-18","12","0","-22","0","0","-6","18","0","0","0","0","12","12","0","-10","1","0","8","0","0","16","8","0","0","0","0","-6","14","0","1","30","0","-20","0","0","12","0","0","0","-8","0","-4","24","0","2","6","0","18","-5","0","-16","-4","0","0","6","0","8","-6","0","-4","-12","0","19","0","0","2","6","0","0","-10","0","6","24","0","16","-10","0","-4","0","0","20","2","0","0","18","0","26","2","0","14","-12","0","-6","0","0","-12","-24","0","20","-4","0","-6","12","0","-4","12","0","-12","0","0","2","3","0","0","8","0","-20","8","0","-6","-36","0","-4","-10","0","1","6","0","0","6","0","-24","12","0","-3","-22","0","-8","0","0","8","-6","0","0","0","0","20","6","0","6","24","0","20","0","0","-18","-6","0","0","14","0","14","0","0","-36","-3","0","-6","0","0","26","-4","0","-5","-30","0","-32","-6","0","-12","-10","0","-34","0","0","-4","0","0","0","-4","0","-4","-24","0","-10","8","0","0","-30","0","16","12","0","0","0","0","26","16","0","-4","24","0","-10","0","0","-24","24","0","0","-16","0","2","-6","0","-6","-18","0","12","0","0","-10","-22","0","0","-42","0","-4","-6","0","18","12","0","-8","0","0","0","8","0","20","12","0","12","24","0","40","-10","0","1","0","0","20","8","0","0","-12","0","-36","16","0","8","-12","0","-4","0","0","0","-12","0","0","-6","0","14","-24","0","4","1","0","30","0","0","6","-20","0","0","18","0","-16","12","0","0","48","0","13","0","0","-8","24","0","0","-4","0","24","-3","0","20","2","0","6","0","0","-28","18","0","-5","24","0","28","-16","0","-4","-18","0","-32","0","0","6","12","0","0","8","0","-6","-18","0","-28","-4","0","-12","30","0","-34","19","0","0","24","0","0","2","0","6","-24","0","-32","0","0","-10","30","0","0","6","0","24","-30","0","-22","16","0","-10","0","0","14","-4","0","0","-24","0","-16","20","0","2","30","0","44","0","0","18","12","0","25","26","0","2","-60","0","-16","14","0","-12","0","0","12","-6","0","0","-6","0","-4","-12","0","-24","-6","0","0","20","0","-4","36","0","0","-6","0","12","-36","0","-22","-4","0","12","0","0","36","-12","0","0","8","0","14","2","0","3","-30","0","28","0","0","8","24","0","0","-20","0","8","0","0","20","-6","0","-36","0","0","-36","-4","0","-10","6","0","40","1","0","6","-12","0","26","0","0","6","-48","0","0","-24","0","12","-30","0","-8","-3","0","-22","30","0","-28","-8","0","0","48","0","-4","8","0","-6","-4","0","8","0","0","0","-36","0","0","20","0","6","24","0","8","6","0","24","0","0","-34","20","0","0","-18","0","-8","-18","0","-6","0","0","-34","0","0","14","0","0","-40","14","0","0","24","0","-6","-36","0","-3","0","0","32","-6","0","0","-36","0","-32","26","0","-4","0","0","36","-5","0","-30","2","0","0","-32","0","-6","42","0","8","-12","0","-10","0","0","-32","-34","0","0","18","0","8","-4","0","0","12","0","14","0","0","-4","-18","0","0","-4","0","-24","-18","0","7","-10","0","8","0","0","2","0","0","-30","60","0","8","16","0","12","-54","0","20","0","0","0","-42","0","0","26","0","16","14","0","16","-4","0","24","0","0","-52","-10","0","0","30","0","-28","-24","0","24","36","0","28","0","0","-16","-24","0","0","2","0","-6","-48","0","0","-6","0","-18","0","0","20","12","0","0","42","0","12","-10","0","-22","24","0","2","0","0","-42","24","0","50","-4","0","-6","-30","0","12","18","0","12","0","0","-22","-8","0","0","18","0","36","0","0","8","-12","0","-8","20","0","12","42","0","0","12","0","24","36","0","33","40","0","-10","0","0","14","1","0","0","0","0","-8","20","0","8","-54","0","6","0","0","-12","-30","0","0","-36","0","16","-48","0","56","8","0","-12","0","0","44","-4","0","0"],"lmfdb":"agrees","curve":{"cremona":"198b1","lmfdb":"198.e","ainvs":[1,-1,1,-50,-115],"rank":0,"torsion":2},"derived":{"al":[[2,-1],[3,null],[11,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.362,"computed":"atlas","estimate":{"seconds":0.29,"low":0.177,"high":0.502,"bytes":1908454},"url":"https://sagebrush.space/atlas/mf/198.2.a"}