{"label":"496.2.a","level":496,"weight":2,"dims":{"new":15,"cusp":59,"eisenstein":11,"modsym":129},"old":[[31,2,5],[62,3,4],[124,2,3],[248,8,2]],"T":[[3,1],[5,2],[7,3],[11,4],[13,5],[17,6],[19,7],[23,8],[29,9],[37,10],[41,11],[43,12]],"status":"proven","checks":["dim M^+ at levels [1, 2, 4, 8, 16, 31, 62, 124, 248, 496]: [0, 1, 2, 3, 4, 3, 10, 19, 36, 68] (certified at ell = 2147482921)","T = [(3, 1), (5, 2), (7, 3), (11, 4), (13, 5), (17, 6), (19, 7), (23, 8), (29, 9), (37, 10), (41, 11), (43, 12)]; h of degree 15 = 1 x 15 (phi(ord eps) x dim S_k^new); 5 primes, 0 rejected"],"newforms":[{"label":"496.2.a.a","letter":"a","dim":1,"charpoly":["21","1"],"traces":["1","0","0","0","-3","0","3","0","-3","0","-2","0","-4","0","0","0","0","0","-1","0","0","0","-4","0","4","0","0","0","-6","0","-1","0","0","0","-9","0","-10","0","0","0","7","0","10","0","9","0","-12","0","2","0","0","0","-4","0","6","0","0","0","-3","0","12","0","-9","0","12","0","12","0","0","0","13","0","2","0","0","0","-6","0","-6","0","9","0","-6","0","0","0","0","0","-10","0","-12","0","0","0","3","0","1","0","6","0","-3","0","17","0","0","0","3","0","-13","0","0","0","-11","0","12","0","12","0","0","0","-7","0","0","0","3","0","2","0","0","0","4","0","-3","0","0","0","12","0","14","0","0","0","8","0","18","0","0","0","14","0","-2","0","0","0","3","0","-13","0","0","0","-12","0","-25","0","0","0","24","0","3","0","3","0","2","0","12","0","0","0","0","0","-8","0","0","0","30","0","0","0","0","0","-25","0","-7","0","0","0","-24","0","-18","0","0","0","-18","0","-21","0","12","0","2","0","-11","0","0","0","-30","0","-3","0","0","0","0","0","-20","0","-12","0","0","0","-2","0","0","0","-3","0","36","0","0","0","-22","0","22","0","0","0","-6","0","4","0","0","0","-30","0","8","0","0","0","9","0","-30","0","18","0","4","0","12","0","0","0","-24","0","-2","0","0","0","-8","0","22","0","3","0","-7","0","20","0","0","0","21","0","-17","0","0","0","26","0","9","0","0","0","16","0","30","0","0","0","-36","0","7","0","0","0","-3","0","-32","0","27","0","-15","0","12","0","0","0","0","0","-16","0","0","0","-36","0","-10","0","30","0","-36","0","-14","0","0","0","2","0","-15","0","0","0","16","0","14","0","0","0","-4","0","-39","0","0","0","9","0","-18","0","0","0","-6","0","22","0","-21","0","-12","0","11","0","0","0","24","0","20","0","0","0","14","0","18","0","-30","0","16","0","0","0","0","0","18","0","25","0","0","0","-30","0","4","0","-27","0","20","0","8","0","0","0","-9","0","18","0","0","0","13","0","-3","0","36","0","0","0","36","0","0","0","-32","0","-2","0","0","0","4","0","-19","0","-6","0","11","0","30","0","0","0","-18","0","-14","0","0","0","36","0","16","0","0","0","10","0","-10","0","0","0","25","0","36","0","0","0","-20","0","-4","0","12","0","35","0","40","0","0","0","-3","0","-32","0","0","0","-12","0","0","0","-18","0","39","0","-30","0","0","0","9","0","9","0","0","0","-10","0","6","0","0","0","-51","0","24","0","0","0","30","0","0","0","0","0","0","0","-7","0","9","0","-28","0","-9","0","0","0","-4","0","11","0","0","0","39","0","23","0","-36","0","6","0","-18","0","0","0","-4","0","-40","0","0","0","29","0","33","0","27","0","20","0","4","0","0","0","-16","0","-34","0","0","0","-18","0","8","0","-36","0","-16","0","1","0","0","0","15","0","0","0","0","0","3","0","-30","0","-36","0","21","0","-8","0","0","0","48","0","38","0","0","0","-10","0","-14","0","0","0","-30","0","-29","0","0","0","0","0","38","0","0","0","-6","0","-8","0","-39","0","36","0","-34","0","0","0","-12","0","6","0","0","0","-14","0","-12","0","-6","0","37","0","-37","0","0","0","9","0","24","0","0","0","-24","0","-42","0","0","0","2","0","3","0","0","0","35","0","-36","0","0","0","16","0","17","0","18","0","-42","0","0","0","0","0","-33","0","10","0","0","0","-9","0","-16","0","18","0","4","0","-24","0","0","0","22","0","51","0","0","0","-24","0","37","0","-27","0","0","0","17","0","0","0","-24","0","-38","0","0","0","-10","0","-42","0","18","0","9","0","25","0","0","0","6","0","-18","0","0","0","18","0","-39","0","0","0","12","0","-39","0","0","0","-26","0","-4","0","0","0","-7","0","-26","0","0","0","39","0","10","0","0","0","-33","0","-48","0","0","0","12","0","0","0","30","0","-4","0","36","0","0","0","28","0","20","0","0","0","75","0","-10","0","36","0","-46","0","48","0","0","0","-24","0","-14","0","0","0","0","0","-72","0","0","0","-24","0","7","0","0","0","-9","0","-21","0","0","0","40","0","-22","0","-9","0","42","0","-20","0","0","0","-46","0","-6","0","0","0","12","0","-48","0","-3","0","9","0","53","0","0","0","-52","0","-4","0","0","0","47","0","6","0","-18","0","12","0","0","0","0","0","6","0","0","0","0","0","24","0","-39","0","9","0","54","0","12","0","0","0","12","0","-40","0","0","0","-52","0","-40","0","-51","0","20","0","-2","0","0","0","0","0","2","0","0","0","-30","0","-28","0","0","0","-14","0","-8","0","0","0","24","0","75","0","0","0","36","0","1","0","-9","0","21","0","-12","0","0","0","-20","0","42","0","0","0","-9","0","20","0","39","0","-14","0","72","0","0","0","-40","0","40","0","0","0","54","0","3","0","0","0"],"lmfdb":"agrees","curve":{"cremona":"496a1","lmfdb":"496.a","ainvs":[0,0,0,1,1],"rank":1,"torsion":1},"derived":{"al":[[2,null],[31,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"496.2.a.b","letter":"b","dim":1,"charpoly":["166","1"],"traces":["1","0","0","0","-2","0","0","0","-3","0","0","0","2","0","0","0","-6","0","-4","0","0","0","-8","0","-1","0","0","0","2","0","1","0","0","0","0","0","10","0","0","0","-6","0","-8","0","6","0","8","0","-7","0","0","0","-6","0","0","0","0","0","12","0","-6","0","0","0","-4","0","12","0","0","0","-8","0","10","0","0","0","0","0","8","0","9","0","-8","0","12","0","0","0","-6","0","0","0","0","0","8","0","2","0","0","0","14","0","-8","0","0","0","-20","0","-2","0","0","0","2","0","16","0","-6","0","0","0","-11","0","0","0","12","0","8","0","0","0","12","0","0","0","0","0","2","0","0","0","0","0","0","0","-4","0","0","0","-2","0","16","0","18","0","-2","0","14","0","0","0","0","0","4","0","0","0","-8","0","-9","0","12","0","-2","0","0","0","0","0","-16","0","2","0","0","0","-20","0","0","0","0","0","-24","0","-14","0","0","0","-6","0","-24","0","0","0","0","0","12","0","24","0","0","0","4","0","0","0","16","0","0","0","0","0","-12","0","-8","0","3","0","-12","0","-22","0","0","0","-6","0","-16","0","0","0","-8","0","-22","0","0","0","14","0","-8","0","0","0","-8","0","0","0","0","0","2","0","0","0","-6","0","16","0","12","0","0","0","-6","0","8","0","0","0","0","0","10","0","-3","0","-6","0","-4","0","0","0","0","0","19","0","0","0","-10","0","-24","0","0","0","-16","0","0","0","0","0","12","0","20","0","0","0","-8","0","34","0","0","0","-10","0","0","0","0","0","24","0","-2","0","0","0","0","0","-32","0","-30","0","-24","0","18","0","0","0","0","0","0","0","0","0","24","0","-26","0","0","0","-14","0","16","0","0","0","-16","0","-3","0","0","0","-20","0","32","0","18","0","0","0","-26","0","0","0","4","0","-20","0","0","0","24","0","0","0","24","0","10","0","48","0","0","0","-16","0","6","0","0","0","-6","0","2","0","-18","0","0","0","34","0","0","0","0","0","16","0","0","0","4","0","-18","0","-24","0","6","0","0","0","0","0","-8","0","26","0","0","0","32","0","-32","0","21","0","-28","0","12","0","0","0","-6","0","0","0","0","0","0","0","-14","0","0","0","42","0","32","0","0","0","20","0","0","0","0","0","0","0","4","0","18","0","32","0","20","0","0","0","-4","0","-32","0","0","0","0","0","-12","0","0","0","0","0","24","0","0","0","-24","0","-28","0","0","0","10","0","0","0","0","0","16","0","0","0","0","0","10","0","16","0","0","0","-6","0","41","0","-36","0","-12","0","40","0","0","0","0","0","-34","0","0","0","4","0","20","0","18","0","-8","0","0","0","0","0","-14","0","-16","0","0","0","12","0","-4","0","0","0","-46","0","8","0","0","0","8","0","18","0","0","0","0","0","0","0","12","0","16","0","-4","0","0","0","-30","0","0","0","0","0","32","0","-6","0","-36","0","22","0","-16","0","0","0","16","0","2","0","0","0","42","0","-40","0","0","0","0","0","-19","0","0","0","-60","0","0","0","0","0","-16","0","-14","0","24","0","-22","0","8","0","0","0","-16","0","0","0","0","0","6","0","-24","0","-30","0","-36","0","22","0","0","0","0","0","-16","0","0","0","0","0","-6","0","0","0","42","0","0","0","0","0","28","0","-4","0","0","0","-12","0","-36","0","0","0","0","0","36","0","0","0","30","0","-40","0","0","0","0","0","-46","0","-24","0","-8","0","0","0","0","0","16","0","0","0","0","0","-2","0","8","0","-27","0","48","0","-26","0","0","0","0","0","8","0","0","0","16","0","4","0","24","0","0","0","-8","0","0","0","-32","0","2","0","0","0","34","0","0","0","-36","0","24","0","-30","0","0","0","34","0","-1","0","0","0","24","0","0","0","0","0","-28","0","-40","0","0","0","0","0","-12","0","0","0","18","0","-48","0","18","0","0","0","0","0","0","0","-30","0","28","0","0","0","-8","0","32","0","0","0","26","0","-48","0","0","0","-8","0","10","0","0","0","42","0","16","0","0","0","0","0","-25","0","0","0","18","0","0","0","0","0","-80","0","-34","0","-24","0","-54","0","32","0","0","0","24","0","4","0","0","0","0","0","24","0","-6","0","0","0","22","0","0","0","-14","0","-56","0","0","0","0","0","0","0","0","0","-32","0","32","0","0","0","2","0","36","0","0","0","-4","0","-36","0","-42","0","0","0","0","0","0","0","0","0","-8","0","0","0","-16","0","-10","0","24","0","-38","0","28","0","0","0","0","0","-22","0","0","0","18","0","48","0","0","0","16","0","20","0","0","0","34","0","48","0","0","0","0","0","1","0","60","0","28","0","32","0","0","0","20","0","0","0","0","0","18","0","0","0","6","0","16","0","12","0","0","0","64","0","-32","0","0","0","48","0","-26","0","0","0"],"lmfdb":"agrees","curve":{"cremona":"496f1","lmfdb":"496.b","ainvs":[0,0,0,-11,-70],"rank":1,"torsion":2},"derived":{"al":[[2,null],[31,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"496.2.a.c","letter":"c","dim":1,"charpoly":["109","1"],"traces":["1","0","0","0","1","0","-3","0","-3","0","-6","0","-4","0","0","0","0","0","5","0","0","0","4","0","-4","0","0","0","2","0","1","0","0","0","-3","0","-2","0","0","0","-9","0","-2","0","-3","0","-4","0","2","0","0","0","12","0","-6","0","0","0","-9","0","12","0","9","0","-4","0","12","0","0","0","-5","0","-14","0","0","0","18","0","-10","0","9","0","-2","0","0","0","0","0","6","0","12","0","0","0","5","0","-7","0","18","0","-7","0","7","0","0","0","1","0","7","0","0","0","-19","0","4","0","12","0","0","0","25","0","0","0","-9","0","14","0","0","0","-12","0","-15","0","0","0","-4","0","-6","0","0","0","24","0","2","0","0","0","-2","0","-14","0","0","0","1","0","23","0","0","0","-12","0","-11","0","0","0","-8","0","3","0","-15","0","-14","0","12","0","0","0","-16","0","8","0","0","0","-2","0","0","0","0","0","-15","0","25","0","0","0","24","0","18","0","0","0","-6","0","-9","0","-12","0","-30","0","7","0","0","0","-2","0","-3","0","0","0","0","0","4","0","12","0","24","0","-10","0","0","0","-3","0","-4","0","0","0","-26","0","-10","0","0","0","2","0","-20","0","0","0","22","0","-24","0","0","0","-7","0","6","0","-6","0","-20","0","12","0","0","0","-24","0","2","0","0","0","24","0","-2","0","-3","0","-15","0","-28","0","0","0","27","0","-17","0","0","0","-22","0","-9","0","0","0","-16","0","6","0","0","0","12","0","5","0","0","0","-5","0","16","0","9","0","-19","0","-12","0","0","0","0","0","16","0","0","0","12","0","-14","0","6","0","12","0","18","0","0","0","-6","0","15","0","0","0","0","0","-2","0","0","0","28","0","-5","0","0","0","-25","0","6","0","0","0","-14","0","26","0","27","0","-36","0","-17","0","0","0","-8","0","4","0","0","0","18","0","18","0","6","0","16","0","0","0","0","0","-10","0","-3","0","0","0","18","0","-4","0","9","0","12","0","-8","0","0","0","27","0","-2","0","0","0","31","0","-15","0","12","0","0","0","-36","0","0","0","16","0","-34","0","0","0","20","0","-29","0","-6","0","17","0","6","0","0","0","-18","0","54","0","0","0","12","0","16","0","0","0","18","0","26","0","0","0","-13","0","-36","0","0","0","12","0","-20","0","-36","0","-19","0","8","0","0","0","-7","0","16","0","0","0","12","0","0","0","18","0","15","0","6","0","0","0","-33","0","-7","0","0","0","-2","0","42","0","0","0","7","0","24","0","0","0","-2","0","16","0","0","0","0","0","-7","0","27","0","36","0","1","0","0","0","-12","0","-1","0","0","0","7","0","5","0","-36","0","10","0","30","0","0","0","-20","0","8","0","0","0","-9","0","-19","0","-27","0","20","0","-4","0","0","0","-16","0","30","0","0","0","6","0","-72","0","12","0","16","0","5","0","0","0","39","0","0","0","0","0","-19","0","-30","0","-36","0","25","0","8","0","0","0","16","0","-34","0","0","0","-42","0","38","0","0","0","-18","0","11","0","0","0","0","0","-6","0","0","0","14","0","-8","0","15","0","-28","0","-22","0","0","0","44","0","54","0","0","0","18","0","-12","0","42","0","-33","0","-17","0","0","0","-15","0","8","0","0","0","-72","0","6","0","0","0","-6","0","21","0","0","0","-47","0","-4","0","0","0","-48","0","-45","0","-54","0","-6","0","0","0","0","0","27","0","-10","0","0","0","21","0","-16","0","30","0","4","0","24","0","0","0","10","0","-21","0","0","0","-8","0","35","0","-27","0","0","0","-11","0","0","0","-72","0","14","0","0","0","-38","0","-2","0","6","0","-3","0","31","0","0","0","-14","0","38","0","0","0","-14","0","-21","0","0","0","36","0","-15","0","0","0","46","0","-4","0","0","0","-45","0","30","0","0","0","23","0","-34","0","0","0","57","0","-48","0","0","0","12","0","0","0","-18","0","84","0","-12","0","0","0","12","0","4","0","0","0","-11","0","-10","0","-36","0","-22","0","0","0","0","0","-8","0","10","0","0","0","0","0","-8","0","0","0","24","0","-25","0","0","0","3","0","-75","0","0","0","-8","0","-22","0","-15","0","42","0","20","0","0","0","-18","0","-14","0","0","0","60","0","-48","0","21","0","27","0","-23","0","0","0","-20","0","4","0","0","0","33","0","-42","0","-54","0","-20","0","-16","0","0","0","2","0","0","0","0","0","8","0","27","0","21","0","-6","0","12","0","0","0","36","0","-8","0","0","0","20","0","8","0","-21","0","4","0","10","0","0","0","0","0","2","0","0","0","42","0","-36","0","0","0","22","0","56","0","0","0","-8","0","-15","0","0","0","12","0","1","0","-3","0","25","0","-4","0","0","0","-4","0","18","0","0","0","-9","0","-36","0","-21","0","46","0","24","0","0","0","-8","0","40","0","0","0","18","0","55","0","0","0"],"lmfdb":"agrees","curve":{"cremona":"496e1","lmfdb":"496.c","ainvs":[0,0,0,-17,27],"rank":1,"torsion":1},"derived":{"al":[[2,null],[31,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"496.2.a.d","letter":"d","dim":1,"charpoly":["171","1"],"traces":["1","0","2","0","-3","0","1","0","1","0","6","0","2","0","-6","0","6","0","1","0","2","0","6","0","4","0","-4","0","0","0","-1","0","12","0","-3","0","-10","0","4","0","-9","0","-8","0","-3","0","0","0","-6","0","12","0","0","0","-18","0","2","0","3","0","-10","0","1","0","-6","0","4","0","12","0","15","0","14","0","8","0","6","0","-8","0","-11","0","-6","0","-18","0","0","0","12","0","2","0","-2","0","-3","0","-7","0","6","0","-3","0","7","0","-6","0","-3","0","11","0","-20","0","9","0","-18","0","2","0","6","0","25","0","-18","0","3","0","-2","0","-16","0","-12","0","1","0","12","0","-18","0","-14","0","0","0","12","0","0","0","-12","0","-18","0","16","0","6","0","3","0","-13","0","0","0","6","0","1","0","-36","0","-12","0","-9","0","1","0","-6","0","4","0","6","0","-6","0","-10","0","-20","0","30","0","36","0","-4","0","9","0","-19","0","-12","0","12","0","-2","0","8","0","0","0","27","0","6","0","6","0","19","0","30","0","24","0","-1","0","28","0","12","0","28","0","4","0","-12","0","-22","0","12","0","21","0","0","0","-16","0","-24","0","2","0","-10","0","18","0","2","0","-12","0","0","0","36","0","-36","0","-15","0","-10","0","0","0","6","0","0","0","24","0","0","0","-8","0","4","0","24","0","8","0","-1","0","9","0","4","0","-6","0","-9","0","19","0","-14","0","6","0","-9","0","-24","0","12","0","-8","0","-6","0","30","0","-11","0","14","0","-9","0","-34","0","-3","0","9","0","0","0","-6","0","6","0","8","0","22","0","0","0","-2","0","-10","0","-12","0","-4","0","18","0","-6","0","-13","0","-36","0","6","0","14","0","-8","0","0","0","-45","0","12","0","15","0","-18","0","50","0","-42","0","-2","0","-9","0","0","0","11","0","6","0","0","0","4","0","-4","0","6","0","-18","0","-8","0","0","0","36","0","-24","0","24","0","-7","0","2","0","12","0","-2","0","33","0","-60","0","2","0","-36","0","3","0","18","0","-28","0","15","0","17","0","0","0","24","0","-10","0","24","0","24","0","-16","0","0","0","6","0","-17","0","-6","0","-27","0","-36","0","-36","0","-6","0","-54","0","32","0","-6","0","8","0","-24","0","6","0","10","0","6","0","27","0","4","0","-26","0","-48","0","4","0","0","0","33","0","-20","0","12","0","21","0","-14","0","2","0","24","0","0","0","-18","0","15","0","22","0","-24","0","27","0","9","0","-18","0","36","0","14","0","-4","0","-21","0","0","0","-12","0","-18","0","-2","0","8","0","-6","0","13","0","3","0","-18","0","9","0","-12","0","-36","0","23","0","-20","0","-33","0","-23","0","-10","0","0","0","-8","0","60","0","-36","0","-16","0","72","0","15","0","-27","0","-11","0","24","0","34","0","18","0","24","0","38","0","-38","0","-6","0","0","0","-6","0","-36","0","-1","0","24","0","3","0","-18","0","-4","0","9","0","8","0","4","0","-75","0","-44","0","0","0","0","0","-10","0","54","0","-6","0","40","0","-24","0","12","0","-29","0","12","0","-60","0","34","0","38","0","6","0","-12","0","15","0","-12","0","-14","0","48","0","12","0","18","0","-2","0","6","0","36","0","14","0","39","0","47","0","24","0","-3","0","0","0","56","0","-60","0","-28","0","-16","0","-6","0","-7","0","-24","0","-39","0","54","0","-44","0","0","0","-17","0","6","0","42","0","-54","0","42","0","-33","0","-10","0","0","0","-3","0","20","0","-8","0","-6","0","-36","0","-48","0","-36","0","7","0","4","0","0","0","-17","0","13","0","-48","0","5","0","36","0","24","0","16","0","4","0","12","0","54","0","-6","0","-3","0","-17","0","0","0","-48","0","20","0","72","0","18","0","11","0","-18","0","6","0","5","0","-30","0","-12","0","-4","0","-20","0","-9","0","90","0","0","0","39","0","16","0","12","0","9","0","-20","0","0","0","24","0","0","0","12","0","84","0","-18","0","0","0","48","0","52","0","-16","0","-3","0","-8","0","2","0","0","0","-14","0","48","0","-18","0","26","0","16","0","-36","0","36","0","4","0","0","0","-29","0","18","0","27","0","25","0","8","0","-60","0","-34","0","-3","0","-6","0","28","0","-18","0","-24","0","18","0","38","0","-48","0","8","0","-7","0","3","0","-19","0","12","0","0","0","28","0","-18","0","-27","0","-2","0","-66","0","0","0","18","0","24","0","0","0","0","0","-16","0","30","0","19","0","-3","0","36","0","-36","0","60","0","-12","0","-20","0","-22","0","30","0","-40","0","7","0","-12","0","-6","0","-18","0","-108","0","-22","0","-68","0","18","0","-54","0","12","0","18","0","28","0","18","0","-42","0","-27","0","0","0","-18","0","1","0","-3","0","57","0","40","0","12","0","12","0","-14","0","16","0","51","0","72","0","11","0","-42","0","-36","0","0","0","-48","0","-50","0","-4","0","6","0","-1","0","40","0"],"lmfdb":"agrees","curve":{"cremona":"496d1","lmfdb":"496.d","ainvs":[0,-1,0,-2,-1],"rank":0,"torsion":1},"derived":{"al":[[2,null],[31,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"496.2.a.e","letter":"e","dim":1,"charpoly":["-61","1"],"traces":["1","0","2","0","1","0","3","0","1","0","2","0","-2","0","2","0","-6","0","-1","0","6","0","6","0","-4","0","-4","0","4","0","1","0","4","0","3","0","-2","0","-4","0","7","0","-4","0","1","0","-8","0","2","0","-12","0","8","0","2","0","-2","0","-3","0","-6","0","3","0","-2","0","12","0","12","0","-3","0","-10","0","-8","0","6","0","12","0","-11","0","-2","0","-6","0","8","0","-16","0","-6","0","2","0","-1","0","-7","0","2","0","17","0","-19","0","6","0","11","0","-1","0","-4","0","9","0","6","0","-2","0","-18","0","-7","0","14","0","-9","0","10","0","-8","0","4","0","-3","0","-4","0","-22","0","-18","0","-16","0","-4","0","4","0","4","0","6","0","-20","0","-6","0","1","0","-17","0","16","0","18","0","23","0","4","0","4","0","-9","0","-1","0","18","0","-12","0","-6","0","10","0","2","0","-12","0","-2","0","-12","0","-12","0","-13","0","13","0","-4","0","-12","0","18","0","24","0","12","0","7","0","6","0","-2","0","5","0","-6","0","-4","0","3","0","-20","0","12","0","4","0","-4","0","12","0","26","0","12","0","21","0","-8","0","24","0","12","0","10","0","-10","0","2","0","2","0","-4","0","20","0","12","0","-12","0","25","0","-6","0","4","0","6","0","8","0","-32","0","0","0","4","0","-12","0","-8","0","-28","0","1","0","1","0","20","0","-2","0","21","0","19","0","-14","0","6","0","-3","0","-8","0","-12","0","-12","0","34","0","-6","0","-13","0","-38","0","13","0","2","0","3","0","13","0","8","0","22","0","6","0","8","0","-2","0","-24","0","26","0","-2","0","12","0","-24","0","18","0","2","0","-15","0","12","0","-26","0","-10","0","8","0","24","0","-3","0","-36","0","13","0","-18","0","-14","0","-10","0","-14","0","7","0","24","0","-25","0","-18","0","-8","0","4","0","20","0","10","0","6","0","-4","0","0","0","-36","0","8","0","12","0","-27","0","-6","0","-24","0","-2","0","-11","0","-4","0","14","0","-44","0","-9","0","-2","0","-36","0","9","0","37","0","-8","0","24","0","-18","0","-8","0","0","0","-4","0","8","0","-6","0","-11","0","2","0","3","0","-16","0","12","0","-30","0","14","0","-40","0","-6","0","40","0","24","0","38","0","14","0","2","0","-27","0","36","0","-34","0","-8","0","4","0","8","0","27","0","4","0","36","0","-7","0","-22","0","46","0","0","0","-24","0","2","0","-9","0","-6","0","8","0","9","0","17","0","-18","0","-24","0","-30","0","4","0","-19","0","-16","0","36","0","-26","0","-18","0","-24","0","-6","0","13","0","-3","0","-14","0","11","0","20","0","4","0","35","0","4","0","-1","0","31","0","-6","0","-4","0","36","0","-4","0","12","0","8","0","-24","0","-31","0","9","0","-33","0","0","0","10","0","-26","0","-24","0","30","0","26","0","-6","0","16","0","-2","0","-36","0","-1","0","-24","0","-21","0","-18","0","36","0","11","0","28","0","12","0","-7","0","4","0","24","0","16","0","-2","0","14","0","-38","0","-20","0","-24","0","-48","0","11","0","-4","0","12","0","6","0","10","0","10","0","-4","0","-3","0","4","0","-34","0","-8","0","-44","0","-6","0","6","0","38","0","4","0","-10","0","-7","0","-37","0","24","0","-3","0","24","0","8","0","-12","0","-24","0","16","0","-14","0","-21","0","24","0","15","0","-22","0","52","0","-16","0","33","0","6","0","-18","0","-42","0","42","0","3","0","2","0","-16","0","51","0","-4","0","12","0","6","0","-4","0","24","0","24","0","-57","0","20","0","-16","0","29","0","13","0","24","0","49","0","4","0","24","0","-28","0","4","0","24","0","6","0","-2","0","33","0","5","0","40","0","-20","0","24","0","24","0","-14","0","-3","0","-6","0","6","0","21","0","50","0","-24","0","-4","0","-12","0","-7","0","-6","0","-16","0","-17","0","4","0","12","0","27","0","12","0","16","0","0","0","48","0","-16","0","-20","0","18","0","0","0","8","0","20","0","8","0","23","0","4","0","-6","0","36","0","-54","0","-16","0","-34","0","2","0","-56","0","-12","0","4","0","-4","0","0","0","-13","0","2","0","-9","0","-21","0","40","0","-12","0","14","0","-1","0","-30","0","20","0","42","0","-4","0","18","0","38","0","24","0","-24","0","-7","0","-27","0","-31","0","12","0","-24","0","-28","0","-6","0","31","0","30","0","-22","0","8","0","10","0","-24","0","4","0","-48","0","-24","0","2","0","-27","0","17","0","0","0","-4","0","-12","0","12","0","28","0","-26","0","6","0","8","0","-19","0","36","0","-2","0","26","0","-12","0","-14","0","4","0","-6","0","42","0","-12","0","-42","0","20","0","26","0","-22","0","-13","0","16","0","-66","0","1","0","11","0","13","0","0","0","12","0","-36","0","-54","0","16","0","3","0","-32","0","-1","0","-30","0","-12","0","-48","0","-24","0","38","0","52","0","18","0","3","0","8","0"],"lmfdb":"agrees","curve":{"cremona":"496b1","lmfdb":"496.e","ainvs":[0,-1,0,0,-1],"rank":0,"torsion":1},"derived":{"al":[[2,null],[31,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"496.2.a.f","letter":"f","dim":1,"charpoly":["56","1"],"traces":["1","0","2","0","2","0","0","0","1","0","-2","0","4","0","4","0","6","0","-4","0","0","0","0","0","-1","0","-4","0","-4","0","1","0","-4","0","0","0","4","0","8","0","-10","0","2","0","2","0","8","0","-7","0","12","0","4","0","-4","0","-8","0","0","0","0","0","0","0","8","0","-12","0","0","0","0","0","2","0","-2","0","0","0","-12","0","-11","0","14","0","12","0","-8","0","-14","0","0","0","2","0","-8","0","14","0","-2","0","10","0","8","0","0","0","-8","0","-10","0","8","0","-18","0","0","0","4","0","0","0","-7","0","-20","0","-12","0","-20","0","4","0","20","0","0","0","-8","0","-2","0","6","0","16","0","-8","0","-8","0","-14","0","18","0","-20","0","6","0","2","0","-2","0","8","0","0","0","8","0","-8","0","8","0","3","0","-4","0","6","0","0","0","0","0","2","0","-16","0","0","0","8","0","-12","0","0","0","16","0","10","0","16","0","12","0","-24","0","-24","0","0","0","-20","0","0","0","8","0","8","0","0","0","4","0","0","0","4","0","24","0","28","0","-1","0","24","0","-28","0","0","0","6","0","16","0","-24","0","12","0","22","0","-10","0","-14","0","-16","0","28","0","10","0","0","0","24","0","2","0","0","0","-4","0","12","0","8","0","-28","0","24","0","28","0","0","0","2","0","-4","0","1","0","-22","0","8","0","-16","0","0","0","19","0","28","0","30","0","0","0","8","0","0","0","0","0","20","0","0","0","-16","0","16","0","-16","0","14","0","0","0","2","0","8","0","-16","0","-24","0","-4","0","-20","0","0","0","-10","0","4","0","-24","0","-30","0","-36","0","-2","0","0","0","0","0","2","0","26","0","-16","0","18","0","0","0","0","0","8","0","-3","0","-14","0","4","0","16","0","-10","0","0","0","-10","0","-24","0","-16","0","-8","0","-40","0","-4","0","0","0","2","0","-12","0","0","0","40","0","-24","0","18","0","0","0","6","0","4","0","-22","0","-8","0","-10","0","-4","0","0","0","28","0","12","0","0","0","10","0","8","0","-6","0","0","0","-16","0","-24","0","14","0","-16","0","0","0","16","0","-7","0","36","0","-28","0","36","0","6","0","20","0","-40","0","0","0","-2","0","-24","0","-32","0","-40","0","4","0","-24","0","0","0","-4","0","-4","0","4","0","4","0","0","0","16","0","0","0","28","0","-4","0","16","0","6","0","-24","0","-4","0","0","0","6","0","16","0","0","0","20","0","6","0","24","0","0","0","16","0","16","0","-16","0","12","0","26","0","6","0","0","0","6","0","-23","0","0","0","-40","0","-16","0","4","0","14","0","14","0","-32","0","-20","0","16","0","0","0","16","0","0","0","16","0","12","0","8","0","-24","0","28","0","-36","0","0","0","6","0","-14","0","32","0","0","0","-42","0","20","0","0","0","-8","0","8","0","-42","0","-4","0","24","0","-42","0","0","0","-48","0","-32","0","10","0","-12","0","-14","0","16","0","0","0","32","0","-8","0","-40","0","26","0","34","0","0","0","0","0","-19","0","16","0","24","0","-12","0","16","0","-40","0","-28","0","0","0","-10","0","14","0","8","0","-28","0","0","0","0","0","-14","0","40","0","2","0","-20","0","14","0","48","0","0","0","0","0","56","0","0","0","30","0","4","0","-28","0","0","0","48","0","-48","0","-4","0","-56","0","16","0","12","0","0","0","12","0","-60","0","12","0","30","0","-16","0","32","0","0","0","32","0","-12","0","0","0","-16","0","24","0","-24","0","0","0","44","0","4","0","32","0","13","0","12","0","34","0","-28","0","24","0","14","0","-32","0","12","0","36","0","14","0","0","0","-16","0","20","0","-40","0","48","0","0","0","-10","0","0","0","12","0","0","0","30","0","4","0","-24","0","-1","0","0","0","40","0","0","0","16","0","-4","0","-50","0","24","0","0","0","0","0","16","0","-12","0","48","0","-14","0","-4","0","0","0","48","0","-50","0","32","0","56","0","16","0","-8","0","0","0","36","0","-36","0","4","0","10","0","-40","0","-8","0","-42","0","16","0","-4","0","48","0","-13","0","-44","0","6","0","0","0","16","0","0","0","-22","0","-8","0","-30","0","-58","0","0","0","4","0","12","0","38","0","24","0","-48","0","14","0","0","0","50","0","60","0","-30","0","-10","0","0","0","8","0","0","0","22","0","-32","0","4","0","0","0","-4","0","24","0","0","0","-32","0","-48","0","10","0","-24","0","-28","0","0","0","0","0","40","0","-32","0","0","0","-4","0","8","0","-18","0","28","0","-32","0","-24","0","-38","0","28","0","12","0","0","0","0","0","-30","0","8","0","4","0","-2","0","32","0","16","0","0","0","1","0","-8","0","20","0","-12","0","-48","0","-12","0","0","0","-8","0","-30","0","28","0","-10","0","12","0","24","0","0","0","0","0","-16","0","-20","0","-48","0","54","0","-16","0"],"lmfdb":"agrees","curve":{"cremona":"496c1","lmfdb":"496.f","ainvs":[0,-1,0,8,0],"rank":0,"torsion":2},"derived":{"al":[[2,null],[31,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"496.2.a.g","letter":"g","dim":2,"charpoly":["-2516","-133","1"],"traces":["2","0","-4","0","3","0","-1","0","2","0","4","0","2","0","-6","0","-4","0","7","0","2","0","2","0","11","0","8","0","16","0","2","0","-8","0","15","0","-2","0","-4","0","-3","0","-2","0","3","0","0","0","3","0","8","0","0","0","6","0","-14","0","1","0","10","0","-1","0","-30","0","8","0","-4","0","17","0","0","0","-22","0","-2","0","-4","0","-22","0","0","0","-6","0","-32","0","6","0","-34","0","-4","0","27","0","-17","0","4","0","-13","0","-31","0","-30","0","-17","0","29","0","4","0","15","0","-30","0","2","0","2","0","-14","0","6","0","51","0","-26","0","4","0","8","0","13","0","12","0","12","0","-16","0","0","0","4","0","24","0","-6","0","24","0","12","0","-4","0","3","0","-19","0","0","0","-34","0","-13","0","-12","0","20","0","42","0","7","0","-16","0","44","0","-2","0","4","0","-22","0","-20","0","30","0","-8","0","-4","0","31","0","-25","0","60","0","20","0","10","0","-16","0","-8","0","-21","0","2","0","14","0","-15","0","-34","0","-36","0","-1","0","0","0","-4","0","8","0","11","0","4","0","2","0","4","0","-5","0","0","0","8","0","4","0","0","0","20","0","-12","0","-26","0","0","0","-18","0","4","0","12","0","-13","0","34","0","16","0","6","0","0","0","-12","0","28","0","4","0","68","0","22","0","8","0","2","0","-5","0","-28","0","-54","0","-15","0","-26","0","34","0","20","0","-15","0","16","0","68","0","-32","0","26","0","-18","0","7","0","62","0","9","0","12","0","15","0","7","0","32","0","34","0","-14","0","-88","0","-58","0","0","0","20","0","-2","0","12","0","38","0","-30","0","4","0","-11","0","60","0","-40","0","-32","0","8","0","-30","0","9","0","-4","0","9","0","3","0","28","0","66","0","-30","0","-3","0","0","0","29","0","-102","0","16","0","36","0","52","0","-18","0","30","0","-2","0","32","0","-4","0","-16","0","-72","0","-33","0","-26","0","-30","0","2","0","-33","0","-4","0","-40","0","-24","0","-17","0","66","0","32","0","-3","0","-17","0","0","0","-22","0","-38","0","-8","0","24","0","46","0","-48","0","-26","0","-31","0","3","0","51","0","-24","0","-48","0","24","0","-6","0","-24","0","-18","0","14","0","-16","0","-30","0","-18","0","-6","0","9","0","-4","0","38","0","-4","0","88","0","0","0","-9","0","-68","0","68","0","-75","0","-54","0","26","0","-46","0","-32","0","6","0","-25","0","12","0","-40","0","21","0","-3","0","-84","0","-40","0","66","0","28","0","-63","0","0","0","32","0","-8","0","-20","0","-88","0","-4","0","22","0","1","0","30","0","-9","0","-8","0","6","0","-15","0","44","0","27","0","35","0","10","0","56","0","-64","0","-60","0","52","0","64","0","16","0","9","0","-27","0","11","0","-10","0","-4","0","-62","0","-88","0","-20","0","50","0","66","0","0","0","-30","0","-2","0","7","0","-40","0","65","0","-30","0","-20","0","23","0","-6","0","8","0","-21","0","60","0","16","0","0","0","58","0","42","0","-76","0","-2","0","8","0","-36","0","104","0","-28","0","4","0","26","0","30","0","-6","0","36","0","17","0","2","0","8","0","72","0","-48","0","2","0","2","0","-16","0","12","0","0","0","1","0","41","0","8","0","69","0","16","0","-16","0","20","0","50","0","44","0","-30","0","-41","0","-8","0","-5","0","18","0","-4","0","0","0","9","0","-2","0","42","0","6","0","10","0","17","0","26","0","0","0","23","0","-24","0","-4","0","2","0","-60","0","-8","0","-44","0","-1","0","0","0","88","0","17","0","26","0","4","0","-37","0","24","0","16","0","26","0","52","0","32","0","-30","0","0","0","25","0","9","0","36","0","-48","0","32","0","-8","0","-32","0","-31","0","-6","0","34","0","-53","0","26","0","24","0","11","0","-68","0","-27","0","34","0","64","0","-45","0","26","0","-12","0","-57","0","76","0","0","0","24","0","0","0","6","0","0","0","-18","0","-56","0","6","0","-4","0","-8","0","-69","0","-40","0","-34","0","24","0","10","0","-44","0","72","0","46","0","-16","0","-6","0","-36","0","8","0","-8","0","70","0","10","0","-3","0","7","0","56","0","-68","0","16","0","27","0","-36","0","30","0","30","0","-36","0","-90","0","52","0","-8","0","8","0","-17","0","57","0","3","0","-40","0","-30","0","-34","0","30","0","-29","0","46","0","-44","0","0","0","-126","0","-136","0","16","0","0","0","64","0","-66","0","-31","0","-13","0","44","0","0","0","36","0","-4","0","-20","0","-14","0","50","0","88","0","-31","0","-54","0","-6","0","-18","0","-12","0","52","0","-24","0","-14","0","30","0","60","0","52","0","-132","0","-14","0","-28","0","63","0","-64","0","-6","0","2","0","-17","0","-87","0","-44","0","28","0","48","0","74","0","176","0","-43","0","12","0","29","0","30","0","-36","0","0","0","64","0","-70","0","-40","0","114","0","-15","0","-8","0"],"lmfdb":"agrees","derived":{"al":[[2,null],[31,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"496.2.a.h","letter":"h","dim":2,"charpoly":["16134","-258","1"],"traces":["2","0","-2","0","0","0","-4","0","2","0","6","0","-2","0","12","0","0","0","8","0","4","0","0","0","14","0","-8","0","-6","0","-2","0","0","0","0","0","10","0","20","0","12","0","2","0","-24","0","-12","0","-6","0","-12","0","6","0","12","0","-8","0","12","0","-2","0","-4","0","36","0","-16","0","0","0","0","0","-20","0","-14","0","-12","0","-4","0","2","0","-6","0","-24","0","-12","0","12","0","4","0","2","0","0","0","4","0","-6","0","0","0","-16","0","-24","0","12","0","-20","0","-28","0","12","0","0","0","-38","0","0","0","2","0","0","0","0","0","-4","0","16","0","24","0","-16","0","0","0","0","0","26","0","12","0","12","0","-36","0","6","0","0","0","-4","0","24","0","0","0","4","0","-12","0","0","0","-4","0","24","0","24","0","30","0","8","0","12","0","-28","0","0","0","-18","0","10","0","20","0","-36","0","-12","0","16","0","-36","0","4","0","-48","0","18","0","8","0","16","0","12","0","24","0","0","0","24","0","-4","0","-48","0","36","0","4","0","20","0","-36","0","20","0","14","0","-12","0","10","0","0","0","12","0","0","0","-32","0","36","0","-8","0","34","0","0","0","-8","0","-24","0","42","0","0","0","24","0","-12","0","-20","0","30","0","12","0","-12","0","-12","0","42","0","-4","0","-40","0","42","0","46","0","-2","0","12","0","-4","0","48","0","-24","0","-10","0","-40","0","-12","0","24","0","-24","0","0","0","-4","0","-36","0","36","0","-4","0","16","0","-24","0","-8","0","48","0","-48","0","-36","0","0","0","0","0","-14","0","20","0","24","0","26","0","46","0","0","0","28","0","0","0","-6","0","40","0","0","0","6","0","16","0","8","0","-12","0","-96","0","24","0","36","0","-6","0","34","0","0","0","8","0","-12","0","-12","0","28","0","24","0","-48","0","-52","0","-32","0","12","0","-24","0","-34","0","6","0","0","0","-48","0","-72","0","-8","0","16","0","0","0","2","0","24","0","12","0","16","0","12","0","-24","0","-60","0","-8","0","36","0","-32","0","-12","0","0","0","4","0","36","0","12","0","-56","0","0","0","0","0","20","0","-6","0","0","0","0","0","-12","0","48","0","48","0","40","0","-72","0","-8","0","0","0","18","0","-16","0","-12","0","-36","0","32","0","-4","0","24","0","56","0","18","0","0","0","-64","0","0","0","-72","0","-52","0","-32","0","-6","0","36","0","-60","0","0","0","38","0","-48","0","-48","0","-72","0","-66","0","-6","0","40","0","-32","0","0","0","-36","0","36","0","12","0","14","0","28","0","0","0","-46","0","-12","0","24","0","24","0","-24","0","-18","0","-20","0","-28","0","0","0","-4","0","-38","0","-24","0","8","0","96","0","-54","0","52","0","-24","0","-24","0","24","0","-4","0","24","0","2","0","60","0","0","0","28","0","-76","0","12","0","12","0","60","0","78","0","-8","0","-60","0","12","0","48","0","-8","0","-12","0","4","0","-16","0","72","0","-40","0","24","0","12","0","46","0","48","0","12","0","2","0","0","0","-24","0","-22","0","0","0","36","0","44","0","40","0","-72","0","6","0","96","0","24","0","-22","0","-24","0","12","0","48","0","-4","0","48","0","-48","0","-20","0","0","0","-20","0","48","0","0","0","0","0","-56","0","12","0","40","0","-56","0","-42","0","-8","0","72","0","-12","0","24","0","-28","0","-24","0","32","0","12","0","36","0","-24","0","-48","0","-12","0","40","0","-72","0","0","0","58","0","68","0","0","0","96","0","-48","0","24","0","32","0","44","0","-42","0","-16","0","-46","0","-36","0","64","0","-36","0","-48","0","-22","0","80","0","-12","0","-24","0","54","0","-24","0","-4","0","-48","0","72","0","-26","0","0","0","72","0","40","0","-24","0","24","0","52","0","60","0","-30","0","-14","0","56","0","48","0","-48","0","24","0","0","0","-70","0","-48","0","-24","0","56","0","48","0","18","0","0","0","12","0","-60","0","0","0","-12","0","24","0","-4","0","40","0","-72","0","8","0","76","0","-6","0","-52","0","0","0","-6","0","-86","0","-28","0","0","0","-48","0","8","0","60","0","14","0","-12","0","-72","0","-4","0","-32","0","0","0","40","0","-96","0","-60","0","14","0","0","0","60","0","96","0","10","0","-48","0","16","0","76","0","0","0","40","0","36","0","60","0","50","0","48","0","36","0","8","0","18","0","-48","0","-84","0","0","0","6","0","12","0","-32","0","-36","0","-52","0","72","0","48","0","-48","0","-48","0","-48","0","-40","0","40","0","-144","0","70","0","-16","0","0","0","-24","0","96","0","-72","0","-20","0","-28","0","-42","0","0","0","0","0","30","0","20","0","36","0","-24","0","48","0","-36","0","0","0","2","0","-12","0","-144","0","92","0","-48","0","-48","0","-52","0","140","0","84","0","36","0","-20","0","-60","0","-84","0","-24","0","0","0","8","0","-8","0","0","0","4","0","-40","0"],"lmfdb":"agrees","derived":{"al":[[2,null],[31,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"496.2.a.i","letter":"i","dim":2,"charpoly":["5491","-272","1"],"traces":["2","0","2","0","2","0","4","0","6","0","-4","0","-2","0","2","0","6","0","0","0","-6","0","2","0","-8","0","20","0","10","0","-2","0","-4","0","4","0","-4","0","-12","0","14","0","2","0","6","0","4","0","4","0","-4","0","-12","0","-4","0","10","0","0","0","-6","0","-8","0","-2","0","-16","0","-28","0","-4","0","8","0","-8","0","-8","0","10","0","22","0","12","0","6","0","0","0","10","0","6","0","-2","0","0","0","-14","0","-12","0","-6","0","-8","0","-6","0","-16","0","-10","0","-4","0","-2","0","2","0","-26","0","22","0","-14","0","14","0","-18","0","-16","0","-8","0","-24","0","-10","0","20","0","26","0","0","0","-16","0","4","0","10","0","-36","0","20","0","6","0","-2","0","-2","0","6","0","-32","0","34","0","-8","0","-4","0","4","0","-14","0","20","0","-12","0","-16","0","-10","0","10","0","14","0","44","0","-4","0","-12","0","20","0","16","0","-2","0","-12","0","-4","0","20","0","-16","0","30","0","14","0","-54","0","0","0","-24","0","46","0","2","0","-4","0","28","0","4","0","-8","0","-24","0","4","0","0","0","12","0","18","0","4","0","40","0","10","0","-16","0","22","0","4","0","-10","0","52","0","26","0","-4","0","-4","0","-14","0","-8","0","10","0","42","0","-12","0","40","0","-40","0","6","0","-4","0","16","0","6","0","-6","0","34","0","-8","0","10","0","28","0","-6","0","-54","0","8","0","0","0","-40","0","28","0","14","0","-6","0","-6","0","44","0","-18","0","36","0","38","0","-8","0","26","0","-20","0","-6","0","-10","0","8","0","-50","0","28","0","-4","0","-12","0","-16","0","-34","0","18","0","4","0","20","0","-28","0","-26","0","20","0","-40","0","-12","0","-4","0","-28","0","-40","0","-28","0","-14","0","8","0","-36","0","42","0","-4","0","38","0","-18","0","0","0","40","0","-36","0","12","0","-8","0","-14","0","0","0","36","0","-24","0","10","0","-14","0","10","0","54","0","2","0","22","0","8","0","-30","0","-4","0","10","0","12","0","-60","0","-20","0","14","0","-28","0","-24","0","-62","0","24","0","-24","0","-2","0","0","0","-30","0","-20","0","-68","0","-48","0","10","0","20","0","0","0","-28","0","56","0","6","0","-24","0","40","0","24","0","32","0","-2","0","4","0","-32","0","86","0","-4","0","0","0","-76","0","-60","0","4","0","-36","0","-14","0","34","0","-38","0","36","0","40","0","-12","0","-58","0","40","0","24","0","-28","0","-6","0","6","0","10","0","-4","0","20","0","-8","0","-8","0","28","0","4","0","22","0","24","0","-6","0","46","0","-20","0","-14","0","-16","0","-20","0","-8","0","-6","0","-36","0","-10","0","-16","0","82","0","-10","0","-10","0","-4","0","-24","0","8","0","8","0","12","0","-2","0","-16","0","20","0","-34","0","66","0","-8","0","-4","0","18","0","-16","0","24","0","-26","0","4","0","0","0","56","0","-22","0","22","0","60","0","-20","0","-6","0","-48","0","-14","0","-36","0","-40","0","16","0","-52","0","14","0","56","0","10","0","-40","0","-10","0","22","0","-20","0","-12","0","-24","0","-74","0","-16","0","36","0","88","0","24","0","-48","0","-8","0","-16","0","0","0","6","0","-32","0","-24","0","64","0","-20","0","-46","0","-16","0","-10","0","40","0","-8","0","12","0","18","0","-80","0","-4","0","12","0","24","0","12","0","26","0","-60","0","32","0","16","0","16","0","0","0","42","0","58","0","14","0","0","0","-16","0","-12","0","60","0","90","0","-2","0","4","0","40","0","50","0","-6","0","84","0","-40","0","84","0","66","0","16","0","-2","0","-36","0","32","0","10","0","-20","0","-78","0","20","0","116","0","-42","0","-24","0","-24","0","6","0","-14","0","56","0","4","0","20","0","-2","0","10","0","-50","0","26","0","18","0","8","0","12","0","0","0","8","0","80","0","6","0","-46","0","52","0","-24","0","-44","0","-32","0","-84","0","32","0","90","0","-16","0","34","0","0","0","20","0","56","0","56","0","-8","0","-10","0","-2","0","-6","0","42","0","16","0","-66","0","-20","0","-64","0","52","0","4","0","-20","0","-40","0","2","0","34","0","-14","0","-28","0","72","0","-4","0","48","0","20","0","-4","0","-40","0","-42","0","42","0","-12","0","-66","0","-20","0","16","0","-122","0","-36","0","-54","0","-12","0","4","0","-8","0","-10","0","4","0","-12","0","-44","0","-20","0","10","0","48","0","-10","0","-16","0","-16","0","14","0","44","0","-18","0","-14","0","-24","0","44","0","-48","0","20","0","74","0","-46","0","16","0","-44","0","-40","0","-40","0","86","0","-12","0","36","0","28","0","-76","0","14","0","20","0","44","0","-28","0","-14","0","78","0","16","0","0","0","82","0","2","0","-28","0","-2","0","-76","0","20","0","56","0","60","0","48","0","-14","0","-20","0","-110","0","-88","0","-4","0","-32","0","32","0","-34","0","-4","0","20","0","-14","0","-40","0"],"lmfdb":"agrees","derived":{"al":[[2,null],[31,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"496.2.a.j","letter":"j","dim":3,"charpoly":["-2614478","21916","443","1"],"traces":["3","0","-2","0","-3","0","-5","0","7","0","-8","0","2","0","-8","0","-4","0","-5","0","-16","0","0","0","2","0","-8","0","-20","0","-3","0","0","0","11","0","4","0","4","0","-5","0","-12","0","-15","0","0","0","20","0","12","0","-2","0","26","0","4","0","5","0","-14","0","15","0","-20","0","-12","0","0","0","-7","0","6","0","38","0","6","0","-6","0","3","0","8","0","12","0","28","0","6","0","4","0","2","0","-17","0","21","0","-44","0","-27","0","5","0","52","0","3","0","7","0","12","0","33","0","0","0","30","0","-20","0","19","0","52","0","-21","0","-18","0","32","0","-20","0","29","0","24","0","16","0","-28","0","-20","0","-36","0","10","0","26","0","-50","0","6","0","-44","0","3","0","23","0","-12","0","0","0","-17","0","32","0","8","0","-7","0","31","0","-10","0","-48","0","-12","0","-2","0","2","0","-44","0","-14","0","36","0","-40","0","15","0","29","0","-16","0","-10","0","22","0","-32","0","14","0","-21","0","0","0","-30","0","29","0","4","0","10","0","5","0","-44","0","-28","0","-24","0","-6","0","-12","0","20","0","104","0","-47","0","28","0","72","0","-30","0","-2","0","-46","0","-54","0","40","0","-40","0","20","0","0","0","-8","0","37","0","-26","0","-56","0","-4","0","-32","0","-44","0","30","0","22","0","-72","0","-34","0","-44","0","-7","0","-11","0","24","0","12","0","-63","0","-11","0","-44","0","14","0","-35","0","72","0","0","0","-26","0","8","0","36","0","-17","0","36","0","9","0","-44","0","31","0","25","0","48","0","-52","0","-36","0","30","0","72","0","12","0","36","0","0","0","68","0","26","0","-52","0","8","0","-43","0","0","0","-34","0","-18","0","-56","0","40","0","29","0","72","0","-47","0","16","0","18","0","50","0","-34","0","-57","0","64","0","7","0","-44","0","-8","0","-8","0","120","0","18","0","-94","0","-72","0","-54","0","0","0","32","0","-26","0","25","0","-60","0","-26","0","-2","0","29","0","-16","0","-36","0","20","0","39","0","30","0","24","0","-19","0","45","0","-16","0","8","0","108","0","4","0","-60","0","-38","0","24","0","0","0","13","0","36","0","15","0","50","0","4","0","30","0","10","0","-32","0","72","0","-48","0","80","0","-64","0","30","0","8","0","-7","0","44","0","-16","0","52","0","20","0","90","0","55","0","8","0","0","0","21","0","56","0","-36","0","-22","0","36","0","58","0","-9","0","4","0","16","0","13","0","41","0","14","0","-32","0","14","0","-72","0","-39","0","36","0","84","0","50","0","46","0","-68","0","4","0","-69","0","89","0","0","0","67","0","16","0","-82","0","-73","0","-44","0","-9","0","-33","0","30","0","34","0","-94","0","-40","0","10","0","-28","0","-72","0","105","0","9","0","99","0","12","0","30","0","-8","0","0","0","-6","0","0","0","18","0","-76","0","-28","0","-6","0","5","0","-76","0","3","0","-20","0","-16","0","-45","0","-6","0","-60","0","-83","0","-8","0","96","0","-36","0","0","0","-84","0","18","0","44","0","0","0","14","0","29","0","40","0","4","0","18","0","28","0","-70","0","42","0","-59","0","20","0","-60","0","-16","0","-56","0","-82","0","16","0","-6","0","36","0","-18","0","-23","0","23","0","48","0","49","0","0","0","8","0","28","0","-70","0","16","0","-68","0","-17","0","-40","0","27","0","-80","0","-116","0","80","0","-43","0","-26","0","10","0","52","0","-36","0","-45","0","-6","0","40","0","51","0","-66","0","-86","0","0","0","64","0","-8","0","-38","0","-53","0","12","0","26","0","33","0","7","0","60","0","25","0","-132","0","104","0","-92","0","-48","0","14","0","70","0","12","0","25","0","-55","0","32","0","-30","0","-12","0","0","0","2","0","-163","0","28","0","72","0","-3","0","-104","0","40","0","-2","0","-32","0","-11","0","62","0","72","0","-1","0","52","0","32","0","-37","0","0","0","32","0","-22","0","16","0","-18","0","56","0","0","0","52","0","4","0","-8","0","32","0","-1","0","-22","0","-4","0","-60","0","-72","0","-168","0","-22","0","-24","0","-4","0","-16","0","-80","0","8","0","4","0","61","0","-32","0","15","0","-29","0","-64","0","0","0","58","0","3","0","22","0","78","0","20","0","2","0","-14","0","-70","0","20","0","-80","0","25","0","133","0","-51","0","52","0","80","0","-62","0","4","0","79","0","-98","0","-12","0","-44","0","-8","0","0","0","20","0","-92","0","104","0","-16","0","-7","0","-71","0","34","0","20","0","144","0","-20","0","-8","0","100","0","-48","0","42","0","1","0","60","0","-10","0","-28","0","-32","0","6","0","60","0","-36","0","0","0","-40","0","92","0","-68","0","32","0","76","0","-81","0","-68","0","-24","0","3","0","-33","0","-35","0","16","0","64","0","28","0","54","0","92","0","-21","0","56","0","-133","0","38","0","52","0","72","0","0","0","-20","0","-136","0","22","0","-81","0","8","0"],"lmfdb":"agrees","derived":{"al":[[2,null],[31,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.682,"computed":"atlas","estimate":{"seconds":0.476,"low":0.291,"high":0.824,"bytes":2057633},"url":"https://sagebrush.space/atlas/mf/496.2.a"}