{"label":"616.2.a","level":616,"weight":2,"dims":{"new":14,"cusp":89,"eisenstein":15,"modsym":193},"old":[[11,1,8],[14,1,6],[44,1,4],[56,2,2],[77,5,4],[88,3,2],[154,5,3],[308,6,2]],"T":[[3,1],[5,3],[13,5],[17,7],[19,9],[23,11]],"status":"proven","checks":["dim M^+ at levels [1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616]: [0, 1, 2, 1, 3, 2, 4, 5, 7, 9, 12, 10, 16, 28, 54, 104] (certified at ell = 2147482951)","T = [(3, 1), (5, 3), (13, 5), (17, 7), (19, 9), (23, 11)]; h of degree 14 = 1 x 14 (phi(ord eps) x dim S_k^new); 4 primes, 0 rejected"],"newforms":[{"label":"616.2.a.a","letter":"a","dim":1,"charpoly":["-32","1"],"traces":["1","0","-2","0","2","0","1","0","1","0","-1","0","4","0","-4","0","0","0","-4","0","-2","0","4","0","-1","0","4","0","10","0","2","0","2","0","2","0","10","0","-8","0","0","0","4","0","2","0","-2","0","1","0","0","0","2","0","-2","0","8","0","6","0","0","0","1","0","8","0","-8","0","-8","0","12","0","-12","0","2","0","-1","0","16","0","-11","0","-4","0","0","0","-20","0","-6","0","4","0","-4","0","-8","0","-10","0","-1","0","4","0","-10","0","-4","0","-4","0","10","0","-20","0","-14","0","8","0","4","0","0","0","1","0","0","0","-12","0","-16","0","-8","0","-8","0","-4","0","8","0","6","0","12","0","4","0","-4","0","20","0","-2","0","-2","0","-16","0","0","0","4","0","-22","0","-4","0","4","0","8","0","4","0","8","0","3","0","-4","0","12","0","-1","0","-12","0","20","0","-18","0","0","0","20","0","0","0","4","0","0","0","-22","0","-16","0","22","0","6","0","16","0","10","0","0","0","4","0","4","0","-12","0","-24","0","8","0","2","0","24","0","0","0","-10","0","-1","0","24","0","22","0","2","0","6","0","-4","0","-32","0","8","0","8","0","10","0","2","0","-16","0","8","0","-6","0","-4","0","0","0","-14","0","10","0","10","0","8","0","4","0","12","0","-18","0","-20","0","-8","0","1","0","-18","0","2","0","-2","0","0","0","16","0","0","0","-17","0","20","0","-24","0","12","0","-4","0","16","0","4","0","-8","0","0","0","-16","0","20","0","14","0","10","0","2","0","-2","0","-10","0","8","0","0","0","-4","0","-20","0","-2","0","-28","0","10","0","-16","0","-2","0","28","0","-2","0","1","0","-16","0","28","0","24","0","16","0","2","0","24","0","0","0","32","0","-3","0","-2","0","-24","0","-26","0","0","0","2","0","6","0","24","0","40","0","24","0","32","0","-6","0","-2","0","4","0","-34","0","0","0","16","0","32","0","2","0","8","0","-22","0","8","0","-22","0","-10","0","28","0","-12","0","6","0","-8","0","-24","0","-34","0","-22","0","-2","0","0","0","0","0","8","0","0","0","22","0","-40","0","-16","0","-20","0","1","0","12","0","-12","0","4","0","6","0","0","0","32","0","8","0","10","0","0","0","24","0","-4","0","-8","0","-30","0","-8","0","44","0","-4","0","4","0","2","0","36","0","40","0","-8","0","-20","0","-20","0","-16","0","12","0","0","0","-2","0","12","0","-32","0","-16","0","36","0","8","0","-6","0","6","0","-12","0","-16","0","-20","0","2","0","-24","0","-42","0","16","0","2","0","0","0","-7","0","6","0","0","0","-8","0","-40","0","-1","0","-10","0","36","0","20","0","-20","0","0","0","-40","0","16","0","-40","0","-26","0","16","0","0","0","-44","0","-28","0","-11","0","30","0","-4","0","0","0","-4","0","22","0","44","0","-4","0","-2","0","8","0","-38","0","-8","0","-44","0","-36","0","0","0","-12","0","-12","0","24","0","-8","0","2","0","-8","0","-20","0","-8","0","26","0","0","0","38","0","-46","0","16","0","-6","0","-19","0","-8","0","0","0","32","0","24","0","-32","0","4","0","12","0","14","0","10","0","-16","0","18","0","-6","0","-4","0","46","0","-16","0","-12","0","-4","0","42","0","0","0","-8","0","40","0","20","0","0","0","-26","0","-4","0","-12","0","-10","0","-48","0","4","0","12","0","-44","0","8","0","-42","0","-1","0","24","0","0","0","-12","0","50","0","-40","0","8","0","4","0","22","0","16","0","8","0","-8","0","-16","0","18","0","-10","0","-16","0","-10","0","-38","0","13","0","0","0","32","0","-4","0","8","0","36","0","32","0","-48","0","-4","0","-4","0","-4","0","-12","0","12","0","-32","0","14","0","8","0","-12","0","10","0","0","0","24","0","4","0","28","0","-34","0","-2","0","-20","0","0","0","-12","0","40","0","-44","0","44","0","-16","0","-14","0","0","0","-8","0","26","0","0","0","-6","0","12","0","8","0","36","0","-22","0","40","0","40","0","16","0","-16","0","4","0","-10","0","0","0","-2","0","-44","0","2","0","36","0","0","0","16","0","8","0","42","0","71","0","4","0","6","0","1","0","0","0","40","0","12","0","-8","0","12","0","-30","0","0","0","0","0","24","0","34","0","-16","0","-32","0","-10","0","-12","0","18","0","48","0","54","0","-12","0","-24","0","-20","0","-16","0","11","0","8","0","40","0","-32","0","20","0","0","0","-8","0","-36","0","32","0","4","0","28","0","4","0","0","0","-8","0","24","0","32","0","48","0","-10","0","-10","0","-26","0","-4","0","-28","0","0","0","28","0","-20","0","8","0","0","0","8","0","-60","0","-48","0","4","0","-46","0","0","0","20","0","6","0","-27","0","-4","0","-44","0","8","0","0","0","-30","0","12","0","8","0","10","0","6","0","10","0","46","0","44","0","4","0","16","0","12","0","56","0","12","0","28","0","40","0"],"lmfdb":"agrees","curve":{"cremona":"616c1","lmfdb":"616.a","ainvs":[0,1,0,-12,-32],"rank":0,"torsion":2},"derived":{"al":[[2,null],[7,-1],[11,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"616.2.a.b","letter":"b","dim":1,"charpoly":["113","1"],"traces":["1","0","-1","0","-1","0","1","0","-2","0","1","0","0","0","1","0","-2","0","-2","0","-1","0","-7","0","-4","0","5","0","-10","0","7","0","-1","0","-1","0","-9","0","0","0","-2","0","-4","0","2","0","8","0","1","0","2","0","2","0","-1","0","2","0","-15","0","-14","0","-2","0","0","0","3","0","7","0","3","0","10","0","4","0","1","0","10","0","1","0","0","0","2","0","10","0","-11","0","0","0","-7","0","2","0","7","0","-2","0","12","0","12","0","1","0","-18","0","16","0","9","0","-3","0","7","0","0","0","-2","0","1","0","2","0","9","0","-10","0","4","0","2","0","-2","0","-5","0","5","0","6","0","-8","0","0","0","10","0","-1","0","-2","0","10","0","4","0","-7","0","-9","0","-2","0","-7","0","4","0","1","0","18","0","-13","0","4","0","-4","0","-4","0","15","0","-1","0","5","0","14","0","9","0","-2","0","5","0","-17","0","-6","0","0","0","18","0","-16","0","-3","0","-10","0","2","0","14","0","-2","0","-10","0","-3","0","4","0","7","0","-10","0","0","0","15","0","8","0","-4","0","-7","0","-1","0","2","0","-8","0","-10","0","-16","0","4","0","-16","0","-1","0","0","0","0","0","1","0","-7","0","-2","0","-30","0","-9","0","20","0","-6","0","-2","0","11","0","-18","0","20","0","0","0","-4","0","28","0","-14","0","-24","0","-16","0","-2","0","-2","0","-13","0","-7","0","18","0","15","0","5","0","0","0","-4","0","-12","0","14","0","16","0","-12","0","-24","0","-19","0","2","0","-3","0","-10","0","18","0","4","0","0","0","-16","0","8","0","-7","0","18","0","-3","0","2","0","3","0","7","0","1","0","-7","0","-30","0","26","0","0","0","21","0","-3","0","2","0","-12","0","-15","0","-1","0","-10","0","35","0","4","0","2","0","-4","0","-9","0","0","0","-3","0","10","0","15","0","-1","0","8","0","-11","0","14","0","-2","0","-10","0","-14","0","2","0","18","0","0","0","-1","0","-9","0","-18","0","-5","0","-15","0","0","0","-6","0","-40","0","-26","0","-16","0","8","0","-14","0","0","0","-12","0","-29","0","-10","0","14","0","-6","0","-2","0","23","0","11","0","2","0","31","0","-2","0","-10","0","0","0","40","0","-10","0","-18","0","23","0","7","0","9","0","3","0","9","0","-4","0","8","0","-4","0","16","0","0","0","7","0","-7","0","25","0","-4","0","18","0","20","0","2","0","3","0","-20","0","-18","0","4","0","-12","0","13","0","-15","0","10","0","-10","0","-12","0","8","0","4","0","-45","0","20","0","4","0","-14","0","26","0","30","0","0","0","18","0","1","0","1","0","4","0","-5","0","-16","0","16","0","28","0","20","0","10","0","-9","0","10","0","0","0","2","0","4","0","3","0","1","0","-6","0","20","0","17","0","28","0","-21","0","6","0","0","0","2","0","0","0","28","0","-14","0","-18","0","18","0","2","0","16","0","16","0","-32","0","-6","0","-1","0","34","0","10","0","0","0","16","0","-2","0","18","0","-21","0","-35","0","-11","0","11","0","2","0","18","0","-7","0","10","0","10","0","0","0","-6","0","-17","0","1","0","-4","0","21","0","-15","0","-7","0","-13","0","-2","0","-20","0","50","0","-13","0","0","0","2","0","70","0","-15","0","-14","0","-8","0","-20","0","42","0","7","0","4","0","-36","0","-5","0","7","0","0","0","29","0","-2","0","-6","0","4","0","-2","0","16","0","18","0","8","0","12","0","-5","0","-20","0","-49","0","0","0","16","0","27","0","12","0","-4","0","40","0","-37","0","13","0","8","0","-44","0","1","0","3","0","-38","0","0","0","-16","0","2","0","0","0","-18","0","-13","0","-1","0","-10","0","-50","0","7","0","36","0","16","0","-4","0","0","0","-44","0","30","0","-38","0","-28","0","9","0","4","0","3","0","-50","0","9","0","10","0","6","0","-3","0","0","0","2","0","-9","0","-16","0","22","0","10","0","7","0","18","0","-18","0","-18","0","-20","0","-4","0","8","0","0","0","-30","0","-19","0","4","0","-24","0","-37","0","-28","0","-2","0","-18","0","35","0","3","0","71","0","24","0","13","0","1","0","16","0","63","0","-26","0","-4","0","-36","0","-35","0","2","0","-28","0","4","0","13","0","10","0","0","0","-14","0","9","0","-22","0","-18","0","31","0","-20","0","-15","0","-6","0","-10","0","1","0","-16","0","1","0","0","0","-70","0","-4","0","4","0","-5","0","8","0","-24","0","-32","0","0","0","-14","0","2","0","4","0","-16","0","0","0","36","0","-24","0","34","0","-2","0","24","0","2","0","-48","0","19","0","42","0","14","0","-5","0","19","0","0","0","3","0","-44","0","17","0","10","0","5","0","18","0","36","0","6","0","-18","0","-4","0","55","0","6","0","0","0","-15","0","-11","0","-32","0","3","0","-18","0","-8","0","28","0","-48","0","7","0","16","0","28","0","-45","0"],"lmfdb":"agrees","curve":{"cremona":"616d1","lmfdb":"616.b","ainvs":[0,-1,0,-1,197],"rank":1,"torsion":1},"derived":{"al":[[2,null],[7,-1],[11,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"616.2.a.c","letter":"c","dim":1,"charpoly":["134","1"],"traces":["1","0","0","0","-2","0","1","0","-3","0","-1","0","2","0","0","0","-2","0","-4","0","0","0","-8","0","-1","0","0","0","-2","0","-4","0","0","0","-2","0","6","0","0","0","6","0","-4","0","6","0","-12","0","1","0","0","0","-10","0","2","0","0","0","8","0","10","0","-3","0","-4","0","4","0","0","0","-8","0","-2","0","0","0","-1","0","-8","0","9","0","12","0","4","0","0","0","10","0","2","0","0","0","8","0","10","0","3","0","-6","0","-4","0","0","0","4","0","-2","0","0","0","-14","0","16","0","-6","0","-2","0","1","0","0","0","12","0","0","0","0","0","-12","0","-4","0","0","0","10","0","4","0","0","0","-2","0","4","0","0","0","-18","0","0","0","6","0","8","0","22","0","0","0","-8","0","4","0","0","0","-8","0","-9","0","12","0","18","0","-1","0","0","0","12","0","6","0","0","0","-12","0","2","0","0","0","24","0","18","0","0","0","-2","0","-4","0","0","0","-2","0","-12","0","24","0","4","0","-20","0","0","0","8","0","-4","0","0","0","-4","0","4","0","3","0","-12","0","-26","0","0","0","-30","0","24","0","0","0","-16","0","-18","0","0","0","-2","0","-8","0","0","0","0","0","8","0","0","0","-14","0","6","0","6","0","-24","0","20","0","0","0","-18","0","-24","0","0","0","1","0","-2","0","12","0","18","0","-20","0","0","0","6","0","-13","0","0","0","-14","0","-16","0","0","0","-16","0","-4","0","0","0","-20","0","20","0","0","0","12","0","26","0","6","0","-18","0","2","0","0","0","8","0","-2","0","0","0","-12","0","-12","0","-18","0","-8","0","-22","0","0","0","4","0","1","0","0","0","28","0","10","0","0","0","18","0","16","0","0","0","0","0","-3","0","0","0","4","0","20","0","-18","0","-10","0","30","0","0","0","-4","0","-20","0","0","0","-20","0","2","0","12","0","-26","0","16","0","0","0","16","0","22","0","0","0","-30","0","-8","0","-18","0","-6","0","-18","0","0","0","8","0","-24","0","0","0","0","0","-10","0","36","0","2","0","10","0","0","0","-24","0","-6","0","0","0","32","0","-16","0","-3","0","4","0","-20","0","0","0","18","0","-6","0","0","0","-4","0","26","0","0","0","-6","0","-16","0","0","0","8","0","4","0","0","0","4","0","4","0","30","0","-24","0","12","0","0","0","-20","0","-8","0","0","0","12","0","4","0","-6","0","-8","0","36","0","0","0","0","0","12","0","0","0","14","0","-2","0","0","0","8","0","12","0","0","0","2","0","-36","0","0","0","8","0","41","0","-24","0","12","0","-8","0","0","0","-1","0","22","0","0","0","4","0","12","0","-30","0","8","0","-8","0","0","0","6","0","-8","0","0","0","-4","0","28","0","9","0","18","0","4","0","0","0","8","0","42","0","0","0","12","0","10","0","12","0","16","0","16","0","0","0","6","0","4","0","0","0","8","0","22","0","-12","0","-2","0","-16","0","0","0","-24","0","-26","0","0","0","10","0","32","0","0","0","10","0","-19","0","0","0","-12","0","0","0","0","0","0","0","2","0","24","0","-14","0","-24","0","0","0","-28","0","-8","0","0","0","14","0","24","0","6","0","-12","0","-18","0","0","0","8","0","16","0","0","0","-10","0","10","0","0","0","42","0","10","0","0","0","-44","0","-20","0","0","0","-20","0","32","0","3","0","-8","0","-12","0","0","0","30","0","-24","0","0","0","-6","0","6","0","24","0","32","0","4","0","0","0","28","0","-4","0","0","0","2","0","-44","0","-27","0","8","0","-22","0","0","0","-4","0","-20","0","0","0","24","0","36","0","-36","0","4","0","32","0","0","0","0","0","22","0","0","0","30","0","-2","0","-12","0","16","0","-42","0","0","0","-26","0","4","0","0","0","-24","0","8","0","0","0","-44","0","-36","0","0","0","-14","0","20","0","0","0","-42","0","24","0","-30","0","2","0","16","0","0","0","10","0","-52","0","0","0","-8","0","16","0","-6","0","-2","0","32","0","0","0","12","0","-26","0","0","0","-2","0","16","0","0","0","-12","0","-25","0","0","0","18","0","1","0","0","0","-48","0","-54","0","-24","0","14","0","-32","0","0","0","24","0","-36","0","0","0","8","0","8","0","-30","0","12","0","46","0","0","0","26","0","-36","0","0","0","48","0","0","0","-9","0","48","0","-24","0","0","0","8","0","20","0","0","0","-12","0","12","0","18","0","48","0","-12","0","0","0","-12","0","-56","0","0","0","-16","0","-6","0","12","0","-6","0","-4","0","0","0","-4","0","14","0","0","0","-54","0","-48","0","0","0","12","0","-4","0","0","0","42","0","-48","0","0","0","10","0","-15","0","-12","0","-36","0","32","0","0","0","48","0","4","0","0","0","-30","0","-10","0","6","0","60","0","4","0","0","0","32","0","-16","0","0","0","8","0","-22","0","0","0"],"lmfdb":"agrees","curve":{"cremona":"616e1","lmfdb":"616.c","ainvs":[0,0,0,-26,-51],"rank":1,"torsion":2},"derived":{"al":[[2,null],[7,-1],[11,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"616.2.a.d","letter":"d","dim":1,"charpoly":["4","1"],"traces":["1","0","0","0","0","0","-1","0","-3","0","-1","0","-6","0","0","0","0","0","-2","0","0","0","4","0","-5","0","0","0","-2","0","2","0","0","0","0","0","2","0","0","0","-8","0","0","0","0","0","-2","0","1","0","0","0","-10","0","0","0","0","0","-4","0","10","0","3","0","0","0","4","0","0","0","0","0","-8","0","0","0","1","0","8","0","9","0","-2","0","0","0","0","0","-6","0","6","0","0","0","0","0","2","0","3","0","-10","0","14","0","0","0","8","0","-14","0","0","0","14","0","0","0","18","0","0","0","1","0","0","0","0","0","16","0","0","0","-14","0","2","0","0","0","6","0","-22","0","0","0","6","0","0","0","0","0","18","0","24","0","0","0","0","0","4","0","0","0","-4","0","-4","0","0","0","-20","0","23","0","6","0","-6","0","5","0","0","0","-20","0","-8","0","0","0","0","0","0","0","0","0","12","0","-14","0","0","0","6","0","14","0","0","0","2","0","0","0","-12","0","2","0","-16","0","0","0","0","0","-2","0","0","0","0","0","2","0","15","0","-6","0","24","0","0","0","-10","0","0","0","0","0","-8","0","0","0","0","0","0","0","12","0","0","0","-28","0","-4","0","0","0","26","0","-2","0","6","0","-16","0","0","0","0","0","-16","0","-12","0","0","0","5","0","-14","0","-6","0","-18","0","-14","0","0","0","8","0","-17","0","0","0","-6","0","0","0","0","0","-24","0","0","0","0","0","0","0","2","0","0","0","-30","0","6","0","0","0","6","0","2","0","0","0","0","0","30","0","0","0","2","0","28","0","-6","0","0","0","-10","0","0","0","-2","0","-1","0","0","0","16","0","-26","0","0","0","-6","0","0","0","0","0","0","0","-15","0","0","0","0","0","-6","0","24","0","10","0","-10","0","0","0","12","0","-20","0","0","0","-38","0","0","0","0","0","10","0","0","0","0","0","0","0","4","0","0","0","-18","0","-12","0","0","0","-2","0","-20","0","0","0","4","0","0","0","0","0","-16","0","30","0","6","0","0","0","-10","0","0","0","16","0","34","0","0","0","-8","0","4","0","-3","0","-12","0","0","0","0","0","-18","0","8","0","0","0","0","0","18","0","0","0","-34","0","24","0","0","0","0","0","-4","0","0","0","0","0","10","0","30","0","32","0","-12","0","0","0","0","0","36","0","0","0","-4","0","0","0","0","0","0","0","-20","0","0","0","36","0","0","0","0","0","8","0","8","0","0","0","0","0","2","0","0","0","10","0","-22","0","0","0","0","0","-7","0","12","0","48","0","0","0","0","0","-1","0","-18","0","0","0","0","0","36","0","-30","0","4","0","-8","0","0","0","-18","0","0","0","0","0","42","0","0","0","-9","0","-18","0","44","0","0","0","-20","0","-26","0","0","0","2","0","10","0","0","0","12","0","-4","0","0","0","8","0","0","0","0","0","0","0","20","0","-12","0","0","0","24","0","0","0","12","0","-34","0","0","0","-30","0","-24","0","0","0","6","0","25","0","0","0","0","0","-12","0","0","0","0","0","-6","0","0","0","42","0","28","0","0","0","42","0","4","0","0","0","2","0","0","0","24","0","-32","0","8","0","0","0","0","0","-8","0","0","0","-10","0","-34","0","0","0","18","0","-2","0","0","0","44","0","0","0","0","0","60","0","28","0","-3","0","0","0","0","0","0","0","2","0","-4","0","0","0","10","0","10","0","-24","0","8","0","0","0","0","0","-38","0","-14","0","0","0","10","0","10","0","-27","0","0","0","-14","0","0","0","-4","0","-44","0","0","0","-48","0","0","0","6","0","-8","0","-4","0","0","0","0","0","-14","0","0","0","-36","0","14","0","0","0","24","0","28","0","0","0","-36","0","-10","0","0","0","16","0","0","0","0","0","0","0","30","0","0","0","-14","0","-60","0","0","0","28","0","0","0","18","0","8","0","0","0","0","0","-30","0","34","0","0","0","0","0","0","0","-18","0","2","0","-4","0","0","0","20","0","-32","0","0","0","0","0","0","0","0","0","-30","0","-25","0","0","0","0","0","-1","0","0","0","8","0","-38","0","0","0","12","0","20","0","0","0","-28","0","0","0","0","0","-8","0","-24","0","-6","0","0","0","-46","0","0","0","38","0","44","0","0","0","-16","0","-16","0","-9","0","4","0","0","0","0","0","-4","0","0","0","0","0","0","0","28","0","30","0","-36","0","2","0","0","0","14","0","-8","0","0","0","0","0","-10","0","-42","0","-46","0","-2","0","0","0","0","0","16","0","0","0","10","0","-32","0","0","0","-4","0","48","0","0","0","-22","0","0","0","0","0","-6","0","-27","0","-24","0","0","0","16","0","0","0","-40","0","22","0","0","0","34","0","6","0","42","0","-2","0","0","0","0","0","0","0","-56","0","0","0","0","0","38","0","0","0"],"lmfdb":"agrees","curve":{"cremona":"616a1","lmfdb":"616.d","ainvs":[0,0,0,85,86],"rank":1,"torsion":2},"derived":{"al":[[2,null],[7,1],[11,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"616.2.a.e","letter":"e","dim":1,"charpoly":["-28","1"],"traces":["1","0","2","0","2","0","1","0","1","0","-1","0","0","0","4","0","4","0","4","0","2","0","-4","0","-1","0","-4","0","2","0","-2","0","-2","0","2","0","-6","0","0","0","4","0","-4","0","2","0","2","0","1","0","8","0","2","0","-2","0","8","0","-6","0","4","0","1","0","0","0","0","0","-8","0","-12","0","16","0","-2","0","-1","0","-8","0","-11","0","-12","0","8","0","4","0","10","0","0","0","-4","0","8","0","-2","0","-1","0","0","0","-6","0","4","0","12","0","-14","0","-12","0","18","0","-8","0","0","0","4","0","1","0","8","0","-12","0","-16","0","-8","0","8","0","4","0","-8","0","-10","0","-12","0","4","0","0","0","4","0","2","0","-2","0","-8","0","4","0","-4","0","-6","0","4","0","-4","0","16","0","-4","0","-24","0","-13","0","4","0","8","0","-1","0","-12","0","20","0","-10","0","8","0","-12","0","-4","0","-4","0","16","0","-6","0","0","0","6","0","-22","0","0","0","2","0","8","0","-4","0","-4","0","20","0","-24","0","-8","0","-2","0","32","0","0","0","-6","0","-1","0","8","0","14","0","-2","0","14","0","4","0","-16","0","8","0","-20","0","-10","0","2","0","0","0","-24","0","22","0","4","0","16","0","-30","0","-6","0","2","0","24","0","4","0","20","0","6","0","20","0","0","0","1","0","-2","0","-2","0","6","0","-16","0","16","0","4","0","-1","0","-4","0","12","0","-12","0","4","0","0","0","-4","0","0","0","8","0","16","0","-12","0","18","0","26","0","2","0","30","0","-2","0","24","0","16","0","0","0","-28","0","2","0","20","0","-6","0","0","0","-10","0","36","0","2","0","1","0","-16","0","-12","0","-4","0","0","0","18","0","-24","0","8","0","24","0","-3","0","2","0","32","0","-22","0","4","0","2","0","38","0","-24","0","0","0","0","0","-32","0","6","0","-2","0","-4","0","-2","0","-16","0","16","0","-16","0","34","0","8","0","-6","0","0","0","-22","0","6","0","24","0","-20","0","-6","0","-24","0","-24","0","2","0","10","0","2","0","-4","0","4","0","0","0","24","0","-2","0","8","0","-16","0","-12","0","1","0","-4","0","20","0","-4","0","-26","0","-4","0","-16","0","0","0","-38","0","-16","0","12","0","-28","0","-8","0","-18","0","0","0","-12","0","4","0","-4","0","2","0","28","0","0","0","-8","0","-4","0","4","0","32","0","-12","0","8","0","-2","0","-12","0","40","0","-48","0","-20","0","0","0","-26","0","-18","0","16","0","-16","0","-12","0","-2","0","16","0","-18","0","-16","0","-2","0","-8","0","-7","0","-6","0","0","0","24","0","40","0","-1","0","22","0","-20","0","-28","0","-20","0","4","0","8","0","-8","0","-24","0","22","0","0","0","-8","0","28","0","36","0","-11","0","6","0","-4","0","32","0","4","0","-18","0","-12","0","-12","0","-2","0","0","0","22","0","-8","0","12","0","-24","0","8","0","-44","0","28","0","28","0","0","0","2","0","-8","0","4","0","0","0","34","0","16","0","-42","0","-18","0","16","0","10","0","-19","0","-8","0","-24","0","-16","0","40","0","-32","0","0","0","-12","0","46","0","22","0","-16","0","30","0","6","0","-4","0","-34","0","16","0","16","0","-28","0","-22","0","0","0","8","0","-8","0","-12","0","-4","0","46","0","4","0","0","0","-2","0","16","0","-12","0","-20","0","28","0","0","0","26","0","-1","0","-24","0","16","0","28","0","10","0","-24","0","8","0","0","0","-26","0","-8","0","8","0","0","0","16","0","-18","0","-6","0","-40","0","-2","0","-10","0","13","0","-16","0","4","0","4","0","0","0","4","0","0","0","-16","0","-4","0","-12","0","12","0","-52","0","44","0","-16","0","-50","0","8","0","0","0","-14","0","8","0","0","0","16","0","-60","0","-26","0","2","0","-12","0","16","0","12","0","-8","0","-12","0","4","0","48","0","18","0","0","0","8","0","-54","0","8","0","10","0","-16","0","-8","0","12","0","42","0","24","0","40","0","32","0","-16","0","0","0","6","0","-16","0","2","0","-36","0","50","0","-4","0","4","0","-48","0","8","0","6","0","-25","0","12","0","-26","0","1","0","-32","0","24","0","-56","0","8","0","-24","0","46","0","8","0","-16","0","16","0","-2","0","8","0","0","0","-2","0","-12","0","26","0","24","0","46","0","52","0","-24","0","36","0","-16","0","11","0","8","0","40","0","0","0","-4","0","8","0","-8","0","-20","0","8","0","0","0","-44","0","12","0","16","0","8","0","40","0","32","0","0","0","6","0","-6","0","-2","0","4","0","36","0","-8","0","24","0","52","0","60","0","-16","0","-8","0","52","0","0","0","60","0","-14","0","32","0","-4","0","-10","0","-27","0","12","0","-12","0","-48","0","32","0","-2","0","-12","0","0","0","-6","0","-10","0","-14","0","-30","0","12","0","4","0","16","0","36","0","40","0","-44","0","-8","0","24","0"],"lmfdb":"agrees","curve":{"cremona":"616b1","lmfdb":"616.e","ainvs":[0,-1,0,3828,95348],"rank":0,"torsion":2},"derived":{"al":[[2,null],[7,-1],[11,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"616.2.a.f","letter":"f","dim":2,"charpoly":["5006","143","1"],"traces":["2","0","-1","0","-3","0","-2","0","3","0","2","0","-2","0","-7","0","-4","0","-2","0","1","0","-7","0","3","0","-7","0","-4","0","-17","0","-1","0","3","0","5","0","-16","0","-20","0","8","0","4","0","4","0","2","0","2","0","8","0","-3","0","18","0","-15","0","8","0","-3","0","20","0","-1","0","-5","0","-5","0","8","0","24","0","-2","0","2","0","-14","0","-16","0","6","0","2","0","-21","0","2","0","17","0","-14","0","13","0","3","0","2","0","0","0","7","0","26","0","6","0","-11","0","-1","0","19","0","14","0","4","0","2","0","10","0","-15","0","-2","0","-4","0","18","0","2","0","19","0","-17","0","-2","0","32","0","-2","0","6","0","-1","0","-20","0","2","0","-6","0","17","0","29","0","30","0","7","0","0","0","-7","0","10","0","10","0","-20","0","-38","0","-3","0","-1","0","-21","0","-13","0","30","0","1","0","-4","0","7","0","-17","0","4","0","24","0","-24","0","-12","0","9","0","4","0","30","0","-2","0","-2","0","42","0","-23","0","-12","0","17","0","30","0","4","0","-49","0","-21","0","-4","0","-17","0","1","0","28","0","-40","0","-18","0","-16","0","-14","0","28","0","-3","0","-32","0","8","0","-7","0","-7","0","14","0","-28","0","-5","0","-6","0","-22","0","-46","0","19","0","32","0","20","0","16","0","3","0","26","0","-34","0","2","0","24","0","-10","0","20","0","-26","0","-15","0","-8","0","31","0","-7","0","24","0","-8","0","-52","0","-46","0","8","0","-68","0","-12","0","3","0","-4","0","11","0","-4","0","-30","0","4","0","-54","0","48","0","-4","0","5","0","16","0","-7","0","52","0","-25","0","-17","0","-2","0","33","0","22","0","-8","0","24","0","-37","0","33","0","-2","0","-12","0","-2","0","-1","0","-46","0","-13","0","-30","0","-8","0","18","0","-1","0","4","0","-23","0","18","0","-9","0","3","0","12","0","-21","0","14","0","-26","0","14","0","12","0","-18","0","4","0","0","0","21","0","5","0","36","0","-17","0","15","0","24","0","18","0","-12","0","-4","0","-28","0","-6","0","-8","0","-16","0","20","0","9","0","14","0","-10","0","-6","0","3","0","-21","0","23","0","10","0","-23","0","-20","0","-18","0","-20","0","18","0","14","0","28","0","-9","0","51","0","1","0","1","0","-23","0","8","0","48","0","-22","0","8","0","12","0","5","0","-11","0","-39","0","-68","0","-26","0","8","0","4","0","5","0","-32","0","46","0","-20","0","48","0","29","0","-9","0","-8","0","-10","0","68","0","4","0","36","0","57","0","-12","0","-24","0","34","0","-13","0","-14","0","20","0","-22","0","53","0","2","0","-22","0","-53","0","-60","0","20","0","-22","0","4","0","-2","0","-9","0","64","0","-8","0","2","0","-12","0","27","0","14","0","68","0","-48","0","85","0","-36","0","25","0","-2","0","16","0","8","0","-4","0","8","0","34","0","46","0","0","0","-6","0","40","0","32","0","78","0","-10","0","-3","0","-6","0","-2","0","-72","0","6","0","70","0","-20","0","75","0","33","0","21","0","16","0","18","0","-10","0","-47","0","-38","0","-14","0","-2","0","18","0","49","0","17","0","-28","0","-27","0","-15","0","-17","0","33","0","-10","0","-22","0","-2","0","9","0","32","0","14","0","14","0","33","0","8","0","42","0","-36","0","-40","0","-13","0","36","0","-32","0","51","0","-17","0","-76","0","-11","0","-3","0","-14","0","40","0","54","0","-2","0","-22","0","-48","0","-2","0","-47","0","20","0","51","0","20","0","8","0","-29","0","0","0","-44","0","-6","0","27","0","-6","0","-16","0","-38","0","-7","0","-1","0","-66","0","16","0","32","0","30","0","-24","0","-26","0","-21","0","-73","0","14","0","12","0","-5","0","-6","0","-6","0","-8","0","32","0","-62","0","14","0","60","0","0","0","11","0","20","0","-5","0","14","0","-35","0","-30","0","-74","0","1","0","-76","0","-62","0","53","0","-8","0","-40","0","8","0","-19","0","18","0","8","0","-2","0","-44","0","68","0","-8","0","-14","0","-56","0","-27","0","24","0","12","0","33","0","4","0","-4","0","-66","0","51","0","3","0","-50","0","-120","0","-49","0","-2","0","-80","0","-9","0","92","0","-4","0","74","0","53","0","-10","0","20","0","40","0","13","0","2","0","-16","0","28","0","15","0","-72","0","38","0","-11","0","-104","0","61","0","-38","0","2","0","-14","0","64","0","-11","0","56","0","34","0","-16","0","4","0","79","0","20","0","54","0","0","0","-16","0","-62","0","-18","0","-28","0","-72","0","56","0","-18","0","68","0","-28","0","-2","0","-96","0","6","0","-34","0","-61","0","-40","0","70","0","-19","0","7","0","-76","0","71","0","-18","0","-51","0","2","0","17","0","91","0","56","0","-6","0","-66","0","-36","0","-57","0","2","0","-24","0","-53","0","-21","0","-42","0","83","0","2","0","-32","0","-28","0","-40","0","-45","0","-16","0","2","0","-9","0"],"lmfdb":"agrees","derived":{"al":[[2,null],[7,1],[11,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"616.2.a.g","letter":"g","dim":3,"charpoly":["1134896","-21104","-95","1"],"traces":["3","0","1","0","1","0","3","0","4","0","3","0","-6","0","13","0","-2","0","4","0","1","0","9","0","-2","0","1","0","6","0","7","0","1","0","1","0","3","0","8","0","-2","0","0","0","4","0","16","0","3","0","-6","0","-6","0","1","0","-14","0","15","0","0","0","4","0","8","0","-9","0","-25","0","15","0","-26","0","2","0","3","0","2","0","-9","0","6","0","-6","0","-18","0","1","0","-6","0","5","0","-14","0","-41","0","4","0","10","0","44","0","13","0","2","0","-4","0","-27","0","5","0","-25","0","-30","0","-2","0","3","0","-46","0","-3","0","30","0","20","0","0","0","4","0","3","0","1","0","-32","0","-20","0","-6","0","-18","0","1","0","38","0","-38","0","-52","0","5","0","-19","0","18","0","9","0","-16","0","13","0","-34","0","5","0","-22","0","-10","0","-2","0","43","0","-17","0","-21","0","46","0","-27","0","-2","0","1","0","51","0","22","0","-48","0","6","0","16","0","5","0","6","0","-46","0","-18","0","4","0","-6","0","53","0","20","0","7","0","-34","0","48","0","11","0","22","0","-30","0","-1","0","1","0","22","0","-20","0","6","0","-16","0","-28","0","14","0","1","0","4","0","-8","0","-13","0","9","0","-58","0","14","0","3","0","52","0","10","0","18","0","-33","0","44","0","36","0","8","0","-2","0","-12","0","34","0","44","0","6","0","-10","0","-2","0","49","0","-11","0","40","0","43","0","1","0","-16","0","0","0","4","0","46","0","-10","0","40","0","20","0","-11","0","4","0","1","0","6","0","-14","0","52","0","-18","0","4","0","16","0","-7","0","-26","0","5","0","-42","0","-41","0","7","0","3","0","9","0","22","0","12","0","-24","0","57","0","53","0","-6","0","20","0","-9","0","1","0","-34","0","39","0","36","0","-6","0","32","0","-49","0","-76","0","-7","0","-46","0","-1","0","1","0","-44","0","45","0","54","0","46","0","6","0","-40","0","-14","0","82","0","-36","0","17","0","3","0","-18","0","79","0","15","0","-8","0","-46","0","-30","0","-34","0","16","0","-48","0","0","0","8","0","12","0","-45","0","70","0","70","0","10","0","4","0","39","0","-33","0","-18","0","19","0","-2","0","-18","0","8","0","-20","0","-50","0","-24","0","11","0","55","0","-9","0","-9","0","-75","0","0","0","-30","0","-52","0","-4","0","-4","0","-25","0","-11","0","-15","0","-36","0","18","0","-92","0","4","0","15","0","32","0","14","0","12","0","4","0","-69","0","-65","0","-26","0","-26","0","40","0","16","0","-4","0","-5","0","26","0","2","0","-54","0","44","0","28","0","-80","0","-14","0","-79","0","3","0","-56","0","31","0","4","0","-80","0","82","0","-16","0","2","0","-17","0","30","0","64","0","-6","0","-34","0","-41","0","-9","0","22","0","-4","0","65","0","-36","0","47","0","58","0","6","0","-6","0","0","0","30","0","-18","0","2","0","-66","0","-6","0","-60","0","-28","0","-52","0","62","0","1","0","2","0","-18","0","-52","0","40","0","30","0","-30","0","89","0","-27","0","1","0","-39","0","-14","0","58","0","21","0","-118","0","-46","0","-6","0","6","0","-49","0","19","0","-44","0","-83","0","15","0","5","0","-29","0","46","0","-40","0","-42","0","-27","0","16","0","-14","0","14","0","37","0","0","0","4","0","24","0","-68","0","-41","0","-20","0","28","0","79","0","-53","0","76","0","11","0","4","0","-46","0","-76","0","98","0","-36","0","62","0","64","0","10","0","-21","0","52","0","-9","0","8","0","-16","0","-13","0","44","0","-20","0","40","0","11","0","-65","0","88","0","-38","0","13","0","-9","0","18","0","72","0","-24","0","-18","0","30","0","2","0","59","0","3","0","-18","0","30","0","-25","0","4","0","-4","0","-68","0","0","0","4","0","66","0","44","0","20","0","-27","0","4","0","15","0","46","0","-75","0","-48","0","110","0","5","0","-36","0","-70","0","-43","0","0","0","-78","0","-26","0","-25","0","-26","0","66","0","36","0","12","0","-36","0","24","0","-30","0","-6","0","65","0","2","0","-40","0","21","0","-80","0","-2","0","14","0","27","0","-53","0","53","0","60","0","-69","0","3","0","104","0","95","0","24","0","-68","0","-20","0","15","0","-46","0","16","0","-4","0","107","0","2","0","-48","0","-30","0","-3","0","22","0","-42","0","51","0","44","0","73","0","-42","0","30","0","-9","0","52","0","-79","0","136","0","58","0","92","0","20","0","31","0","28","0","134","0","48","0","6","0","82","0","0","0","-36","0","-64","0","32","0","-32","0","64","0","58","0","4","0","-100","0","-6","0","36","0","-57","0","-40","0","46","0","3","0","-45","0","32","0","39","0","-32","0","65","0","-18","0","1","0","-52","0","96","0","58","0","38","0","108","0","-11","0","-32","0","-16","0","77","0","1","0","44","0","3","0","2","0","-20","0","4","0","-44","0","71","0","-60","0","-102","0","-29","0"],"lmfdb":"agrees","derived":{"al":[[2,null],[7,-1],[11,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"616.2.a.h","letter":"h","dim":4,"charpoly":["-789872","55272","1384","-127","1"],"traces":["4","0","1","0","5","0","-4","0","9","0","4","0","4","0","-3","0","10","0","6","0","-1","0","-3","0","17","0","13","0","-4","0","1","0","1","0","-5","0","13","0","8","0","10","0","-8","0","12","0","-6","0","4","0","-14","0","8","0","5","0","-22","0","3","0","2","0","-9","0","0","0","3","0","27","0","7","0","2","0","-18","0","-4","0","-46","0","40","0","32","0","-14","0","-34","0","7","0","-4","0","-11","0","-14","0","-11","0","9","0","8","0","-26","0","3","0","-14","0","6","0","17","0","-13","0","-13","0","-60","0","-10","0","4","0","-14","0","57","0","-34","0","-52","0","14","0","-6","0","-53","0","7","0","-10","0","-68","0","4","0","-58","0","1","0","0","0","-22","0","8","0","37","0","5","0","2","0","3","0","-12","0","-3","0","26","0","28","0","68","0","-8","0","-17","0","-53","0","11","0","15","0","-34","0","17","0","10","0","-13","0","23","0","24","0","80","0","-36","0","26","0","-63","0","4","0","-14","0","-62","0","6","0","-14","0","57","0","60","0","-1","0","-2","0","8","0","-27","0","-43","0","0","0","-45","0","-1","0","-20","0","36","0","30","0","64","0","0","0","90","0","5","0","-72","0","40","0","15","0","-3","0","-26","0","24","0","-13","0","-38","0","-14","0","10","0","7","0","44","0","-24","0","-8","0","17","0","-50","0","72","0","10","0","44","0","-106","0","-10","0","0","0","61","0","42","0","-45","0","13","0","80","0","8","0","28","0","6","0","60","0","-56","0","-46","0","-1","0","-12","0","7","0","-4","0","-78","0","60","0","76","0","60","0","6","0","29","0","112","0","73","0","-28","0","19","0","1","0","-4","0","113","0","22","0","-6","0","-32","0","7","0","1","0","14","0","4","0","56","0","1","0","-34","0","-39","0","8","0","-8","0","-10","0","39","0","-8","0","37","0","66","0","17","0","-5","0","-44","0","47","0","-26","0","30","0","-66","0","-28","0","22","0","0","0","-80","0","-27","0","13","0","-26","0","-29","0","-3","0","0","0","-62","0","62","0","36","0","-54","0","4","0","-2","0","8","0","20","0","33","0","-34","0","-106","0","-26","0","9","0","-37","0","71","0","-66","0","-7","0","10","0","-66","0","0","0","70","0","38","0","-2","0","11","0","-93","0","23","0","-3","0","-67","0","-8","0","-72","0","18","0","84","0","-56","0","-27","0","-83","0","-27","0","-100","0","-50","0","76","0","12","0","-7","0","-36","0","-2","0","48","0","68","0","-29","0","35","0","-2","0","70","0","-112","0","-6","0","60","0","25","0","48","0","18","0","-22","0","21","0","-36","0","8","0","-62","0","53","0","4","0","14","0","-25","0","-124","0","-20","0","-92","0","84","0","46","0","-65","0","-12","0","-32","0","-14","0","-44","0","-77","0","-40","0","12","0","0","0","77","0","24","0","-31","0","42","0","-32","0","8","0","-80","0","-26","0","58","0","10","0","18","0","14","0","-60","0","4","0","-28","0","-102","0","5","0","-94","0","34","0","-32","0","22","0","-26","0","-76","0","-7","0","9","0","-7","0","90","0","-22","0","18","0","-31","0","154","0","2","0","4","0","126","0","-23","0","-33","0","-68","0","-17","0","3","0","11","0","-3","0","-74","0","-148","0","70","0","25","0","0","0","14","0","-34","0","13","0","2","0","-30","0","-192","0","38","0","11","0","148","0","-72","0","131","0","43","0","8","0","-65","0","-9","0","26","0","68","0","-38","0","14","0","74","0","-88","0","-8","0","-3","0","-76","0","-93","0","0","0","80","0","69","0","26","0","28","0","-94","0","-147","0","108","0","-40","0","44","0","-3","0","3","0","14","0","16","0","-24","0","-106","0","16","0","14","0","23","0","-53","0","-82","0","32","0","27","0","92","0","-6","0","108","0","-8","0","28","0","34","0","-16","0","6","0","-17","0","60","0","7","0","-2","0","117","0","34","0","-114","0","13","0","64","0","-6","0","13","0","8","0","100","0","2","0","13","0","-2","0","-164","0","26","0","-28","0","12","0","-8","0","60","0","-4","0","-43","0","-18","0","12","0","-95","0","-40","0","10","0","94","0","-21","0","-27","0","60","0","108","0","95","0","-4","0","48","0","-65","0","-22","0","188","0","60","0","67","0","14","0","-52","0","-12","0","-85","0","-46","0","48","0","84","0","-57","0","-72","0","142","0","-35","0","104","0","-67","0","78","0","34","0","40","0","40","0","-67","0","-80","0","-50","0","20","0","52","0","-65","0","-56","0","116","0","20","0","32","0","26","0","-14","0","28","0","80","0","-48","0","-26","0","-102","0","4","0","6","0","124","0","-14","0","-24","0","135","0","50","0","-26","0","53","0","-41","0","152","0","107","0","74","0","197","0","-34","0","-7","0","-7","0","-88","0","-30","0","22","0","-68","0","-43","0","10","0","200","0","-185","0","7","0","38","0","-103","0","18","0","68","0","-68","0","44","0","19","0","76","0","-32","0","151","0"],"lmfdb":"agrees","derived":{"al":[[2,null],[7,1],[11,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.392,"computed":"atlas","estimate":{"seconds":0.87,"low":0.531,"high":1.506,"bytes":2201007},"url":"https://sagebrush.space/atlas/mf/616.2.a"}