{"label":"392.2.a","level":392,"weight":2,"dims":{"new":10,"cusp":41,"eisenstein":31,"modsym":113},"old":[[14,1,6],[49,1,4],[56,2,2],[98,3,3],[196,4,2]],"T":[[3,1],[5,2],[11,3],[13,4],[17,5],[19,6],[23,7],[29,8]],"status":"proven","checks":["dim M^+ at levels [1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392]: [0, 1, 2, 1, 3, 4, 7, 5, 12, 16, 31, 60] (certified at ell = 2147483647)","T = [(3, 1), (5, 2), (11, 3), (13, 4), (17, 5), (19, 6), (23, 7), (29, 8)]; h of degree 10 = 1 x 10 (phi(ord eps) x dim S_k^new); 3 primes, 0 rejected"],"newforms":[{"label":"392.2.a.a","letter":"a","dim":1,"charpoly":["126","1"],"traces":["1","0","-3","0","1","0","0","0","6","0","-1","0","-2","0","-3","0","-3","0","-5","0","0","0","-3","0","-4","0","-9","0","-6","0","1","0","3","0","0","0","-5","0","6","0","10","0","-4","0","6","0","-1","0","0","0","9","0","-9","0","-1","0","15","0","-3","0","-3","0","0","0","-2","0","11","0","9","0","16","0","-7","0","12","0","0","0","-11","0","9","0","4","0","-3","0","18","0","9","0","0","0","-3","0","-5","0","-6","0","-6","0","13","0","-5","0","0","0","-3","0","11","0","15","0","-10","0","-3","0","-12","0","0","0","-10","0","-30","0","-9","0","-8","0","12","0","-17","0","0","0","-9","0","3","0","-4","0","3","0","2","0","-6","0","0","0","15","0","15","0","-18","0","1","0","-15","0","27","0","0","0","9","0","3","0","20","0","-9","0","-30","0","21","0","0","0","9","0","-1","0","-22","0","9","0","-5","0","3","0","0","0","17","0","-5","0","6","0","18","0","9","0","-33","0","0","0","10","0","-18","0","5","0","12","0","-48","0","-4","0","0","0","21","0","6","0","-24","0","-24","0","-7","0","-7","0","0","0","-13","0","-1","0","33","0","-4","0","17","0","0","0","0","0","10","0","-12","0","-24","0","3","0","9","0","13","0","0","0","-36","0","3","0","-9","0","-27","0","17","0","3","0","0","0","4","0","7","0","6","0","-18","0","17","0","15","0","0","0","-8","0","18","0","-6","0","-3","0","9","0","6","0","0","0","-39","0","-3","0","-4","0","15","0","-11","0","-31","0","0","0","27","0","6","0","9","0","15","0","8","0","-33","0","0","0","-7","0","-30","0","11","0","14","0","30","0","-1","0","0","0","9","0","3","0","6","0","18","0","5","0","16","0","0","0","-15","0","6","0","30","0","-7","0","-19","0","60","0","0","0","19","0","27","0","12","0","-16","0","24","0","-9","0","0","0","-24","0","19","0","9","0","51","0","-11","0","17","0","0","0","3","0","-2","0","9","0","5","0","-19","0","-9","0","0","0","4","0","12","0","-20","0","10","0","-6","0","12","0","0","0","-6","0","-41","0","26","0","18","0","15","0","15","0","0","0","-27","0","9","0","-45","0","-2","0","-10","0","-45","0","0","0","-17","0","27","0","6","0","-16","0","-3","0","-25","0","0","0","45","0","4","0","20","0","-54","0","21","0","10","0","0","0","-6","0","-13","0","-27","0","0","0","18","0","-6","0","0","0","-7","0","-60","0","-16","0","13","0","27","0","-7","0","0","0","45","0","-5","0","1","0","-63","0","-15","0","-13","0","0","0","-3","0","-14","0","-18","0","-20","0","-3","0","3","0","0","0","-25","0","66","0","11","0","0","0","-18","0","30","0","0","0","15","0","11","0","8","0","-9","0","-11","0","-10","0","0","0","-1","0","-17","0","-51","0","12","0","-31","0","15","0","0","0","9","0","-12","0","-12","0","-5","0","-54","0","-43","0","0","0","-27","0","-21","0","34","0","66","0","-10","0","7","0","0","0","2","0","-21","0","-30","0","22","0","5","0","27","0","0","0","11","0","-15","0","15","0","0","0","-36","0","-8","0","0","0","96","0","15","0","44","0","12","0","-43","0","3","0","0","0","-5","0","-17","0","-42","0","-36","0","1","0","-18","0","0","0","18","0","72","0","3","0","-2","0","36","0","9","0","0","0","21","0","39","0","3","0","21","0","18","0","47","0","0","0","-4","0","-30","0","39","0","-18","0","25","0","3","0","0","0","27","0","-66","0","-3","0","2","0","12","0","-29","0","0","0","-51","0","24","0","-16","0","-27","0","12","0","-11","0","0","0","-11","0","-41","0","-30","0","32","0","15","0","24","0","0","0","-47","0","72","0","15","0","34","0","-9","0","-27","0","0","0","-18","0","6","0","-14","0","-39","0","-35","0","-4","0","0","0","-50","0","-16","0","54","0","-15","0","13","0","-9","0","0","0","6","0","27","0","-42","0","3","0","54","0","7","0","0","0","-51","0","-25","0","20","0","-9","0","9","0","20","0","0","0","-25","0","-21","0","-12","0","-4","0","37","0","-21","0","0","0","20","0","-9","0","24","0","7","0","54","0","-9","0","0","0","-51","0","15","0","22","0","-30","0","57","0","-5","0","0","0","37","0","21","0","24","0","11","0","-22","0","-36","0","0","0","39","0","18","0","-18","0","28","0","9","0","55","0","0","0","-9","0","5","0","-1","0","-18","0","-6","0","27","0","0","0","-22","0","-13","0","78","0","-48","0","-4","0","9","0","0","0","17","0","12","0","-32","0","20","0","-30","0","41","0","0","0","33","0","3","0","38","0","93","0","-39","0","-30","0","0","0","49","0","14","0","-81","0","30","0","17","0","-18","0","0","0","-30","0","-18","0","-5","0","32","0","-45","0","-57","0","0","0","-24","0","-37","0","-9","0","66","0","33","0","18","0","0","0","12","0","59","0","21","0","9","0","-31","0","45","0"],"lmfdb":"agrees","curve":{"cremona":"392f1","lmfdb":"392.a","ainvs":[0,0,0,-7,7],"rank":1,"torsion":1},"derived":{"al":[[2,null],[7,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"392.2.a.b","letter":"b","dim":1,"charpoly":["-100","1"],"traces":["1","0","-2","0","4","0","0","0","1","0","0","0","0","0","-8","0","2","0","2","0","0","0","8","0","11","0","4","0","2","0","-4","0","0","0","0","0","-6","0","0","0","2","0","8","0","4","0","4","0","0","0","-4","0","-10","0","0","0","-4","0","-6","0","-4","0","0","0","0","0","-12","0","-16","0","0","0","14","0","-22","0","0","0","-8","0","-11","0","-6","0","8","0","-4","0","-10","0","0","0","8","0","8","0","2","0","0","0","-12","0","12","0","0","0","-12","0","10","0","12","0","6","0","32","0","0","0","0","0","-11","0","-4","0","24","0","8","0","-16","0","-14","0","0","0","16","0","2","0","-18","0","-8","0","0","0","8","0","0","0","-2","0","16","0","2","0","-16","0","0","0","20","0","0","0","16","0","0","0","-12","0","-13","0","2","0","-8","0","0","0","12","0","-4","0","-8","0","8","0","-24","0","0","0","0","0","-8","0","-18","0","0","0","-18","0","4","0","24","0","0","0","8","0","8","0","0","0","20","0","0","0","32","0","0","0","-28","0","0","0","24","0","11","0","-14","0","16","0","0","0","26","0","16","0","16","0","-16","0","2","0","10","0","0","0","0","0","12","0","14","0","0","0","-16","0","-18","0","0","0","2","0","0","0","-40","0","20","0","24","0","-32","0","0","0","0","0","22","0","-4","0","-6","0","10","0","-16","0","0","0","-13","0","-4","0","12","0","-24","0","0","0","0","0","0","0","24","0","-16","0","2","0","-24","0","24","0","-14","0","0","0","6","0","0","0","24","0","4","0","0","0","-20","0","0","0","8","0","-6","0","-48","0","14","0","-12","0","0","0","0","0","-64","0","-24","0","-8","0","0","0","30","0","0","0","0","0","0","0","-15","0","22","0","56","0","-8","0","2","0","0","0","-34","0","-48","0","0","0","0","0","-16","0","-12","0","0","0","8","0","10","0","16","0","28","0","-32","0","8","0","0","0","30","0","0","0","-44","0","0","0","-6","0","-4","0","0","0","-24","0","36","0","-26","0","22","0","4","0","22","0","0","0","0","0","0","0","26","0","-16","0","16","0","-24","0","0","0","-4","0","-40","0","4","0","-14","0","0","0","-32","0","0","0","22","0","8","0","0","0","-16","0","32","0","-6","0","0","0","0","0","0","0","22","0","-10","0","-4","0","0","0","0","0","8","0","-8","0","-32","0","-36","0","4","0","0","0","0","0","4","0","24","0","32","0","-48","0","26","0","24","0","0","0","8","0","48","0","0","0","16","0","18","0","34","0","0","0","-8","0","41","0","-6","0","0","0","-48","0","8","0","0","0","22","0","16","0","40","0","-8","0","-4","0","4","0","0","0","48","0","-26","0","0","0","0","0","-34","0","24","0","0","0","-42","0","-16","0","16","0","88","0","-18","0","36","0","0","0","0","0","0","0","-10","0","-8","0","36","0","-42","0","0","0","-8","0","40","0","-10","0","-12","0","-44","0","32","0","0","0","0","0","10","0","-16","0","6","0","-6","0","32","0","0","0","41","0","0","0","-12","0","32","0","-40","0","32","0","0","0","0","0","-2","0","14","0","-64","0","36","0","0","0","0","0","-22","0","-56","0","14","0","-40","0","-20","0","0","0","0","0","16","0","-48","0","0","0","10","0","44","0","24","0","0","0","28","0","12","0","8","0","-32","0","0","0","-14","0","0","0","-72","0","4","0","-52","0","10","0","-12","0","-32","0","0","0","10","0","-8","0","-32","0","0","0","32","0","-36","0","0","0","-4","0","22","0","-20","0","13","0","16","0","-52","0","0","0","0","0","16","0","0","0","-16","0","-8","0","-6","0","0","0","32","0","-28","0","64","0","10","0","0","0","42","0","0","0","8","0","0","0","26","0","36","0","-4","0","-44","0","0","0","4","0","0","0","8","0","0","0","-22","0","0","0","0","0","0","0","80","0","24","0","8","0","-10","0","0","0","0","0","-48","0","6","0","-30","0","64","0","64","0","16","0","0","0","6","0","8","0","0","0","36","0","-20","0","-44","0","0","0","-48","0","-16","0","-36","0","-25","0","12","0","-52","0","0","0","-20","0","-48","0","32","0","8","0","-6","0","14","0","0","0","8","0","-32","0","26","0","0","0","0","0","2","0","0","0","2","0","-24","0","-10","0","-20","0","48","0","-36","0","0","0","0","0","8","0","-16","0","0","0","-8","0","-20","0","0","0","-32","0","-28","0","-12","0","-8","0","0","0","32","0","0","0","40","0","-4","0","0","0","-66","0","12","0","2","0","0","0","-48","0","0","0","-18","0","28","0","12","0","16","0","0","0","40","0","0","0","-12","0","10","0","-32","0","0","0","0","0","-15","0","-12","0","-72","0","-24","0","-8","0","26","0","0","0","0","0","-54","0","0","0","10","0","12","0","-72","0","0","0","64","0","-48","0","-16","0","16","0","-52","0","-24","0"],"lmfdb":"agrees","curve":{"cremona":"392d1","lmfdb":"392.b","ainvs":[0,1,0,-16,1392],"rank":0,"torsion":2},"derived":{"al":[[2,null],[7,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"392.2.a.c","letter":"c","dim":1,"charpoly":["70","1"],"traces":["1","0","-1","0","-1","0","0","0","-2","0","3","0","-6","0","1","0","-5","0","1","0","0","0","-7","0","-4","0","5","0","2","0","-5","0","-3","0","0","0","3","0","6","0","-2","0","-4","0","2","0","5","0","0","0","5","0","-1","0","-3","0","-1","0","15","0","-5","0","0","0","6","0","-9","0","7","0","0","0","7","0","4","0","0","0","1","0","1","0","12","0","5","0","-2","0","7","0","0","0","5","0","-1","0","-2","0","-6","0","3","0","-15","0","0","0","9","0","-5","0","-3","0","-18","0","7","0","12","0","0","0","-2","0","2","0","9","0","8","0","4","0","5","0","0","0","-5","0","11","0","-12","0","-5","0","-18","0","-2","0","0","0","-17","0","-5","0","10","0","5","0","-9","0","1","0","0","0","13","0","3","0","-12","0","23","0","-2","0","-13","0","0","0","-15","0","-13","0","-10","0","5","0","-3","0","-15","0","0","0","-11","0","3","0","-6","0","-6","0","-13","0","9","0","0","0","2","0","14","0","3","0","-4","0","0","0","4","0","0","0","-7","0","30","0","-24","0","8","0","11","0","23","0","0","0","11","0","-5","0","-1","0","20","0","-17","0","-16","0","0","0","-6","0","-12","0","16","0","-21","0","-5","0","-21","0","0","0","-4","0","-9","0","1","0","-7","0","-9","0","-7","0","0","0","-12","0","-17","0","10","0","6","0","-13","0","1","0","0","0","8","0","2","0","6","0","-15","0","15","0","42","0","0","0","-3","0","5","0","4","0","15","0","15","0","-1","0","0","0","3","0","6","0","-9","0","-5","0","24","0","5","0","0","0","29","0","-6","0","9","0","-10","0","18","0","-15","0","0","0","-7","0","15","0","2","0","-30","0","3","0","0","0","0","0","21","0","-18","0","2","0","-7","0","23","0","4","0","0","0","11","0","-9","0","-12","0","24","0","-8","0","-3","0","0","0","8","0","-29","0","35","0","-5","0","-1","0","-17","0","0","0","27","0","30","0","-1","0","9","0","27","0","-11","0","0","0","-12","0","12","0","20","0","34","0","-10","0","20","0","0","0","18","0","3","0","-2","0","2","0","-7","0","21","0","0","0","-31","0","-7","0","17","0","-26","0","-6","0","5","0","0","0","-17","0","-25","0","-30","0","-16","0","-5","0","-3","0","0","0","9","0","-12","0","-4","0","2","0","31","0","-18","0","0","0","2","0","7","0","-13","0","-24","0","-10","0","6","0","0","0","-35","0","12","0","-32","0","-3","0","-23","0","-9","0","0","0","5","0","15","0","15","0","13","0","-33","0","-7","0","0","0","25","0","26","0","-30","0","12","0","-9","0","13","0","0","0","-41","0","10","0","5","0","-8","0","10","0","2","0","0","0","3","0","-5","0","24","0","15","0","-41","0","18","0","0","0","-33","0","-13","0","11","0","28","0","-33","0","-3","0","0","0","-3","0","-12","0","-20","0","-5","0","6","0","-45","0","0","0","13","0","-17","0","22","0","18","0","2","0","13","0","0","0","-30","0","43","0","-2","0","30","0","-9","0","-35","0","0","0","11","0","-3","0","-15","0","-16","0","4","0","-8","0","0","0","0","0","-17","0","-44","0","-4","0","15","0","45","0","0","0","35","0","-5","0","-14","0","44","0","23","0","-30","0","0","0","-14","0","24","0","-15","0","-26","0","-20","0","39","0","0","0","-11","0","27","0","-11","0","-23","0","6","0","5","0","0","0","12","0","10","0","-11","0","-50","0","3","0","5","0","0","0","-29","0","-2","0","35","0","18","0","-20","0","-39","0","0","0","17","0","-8","0","32","0","13","0","20","0","19","0","0","0","-27","0","-5","0","6","0","-16","0","17","0","-24","0","0","0","53","0","-16","0","5","0","10","0","21","0","3","0","0","0","-10","0","-90","0","22","0","21","0","19","0","20","0","0","0","-2","0","0","0","10","0","9","0","-17","0","9","0","0","0","30","0","-1","0","18","0","-25","0","-14","0","21","0","0","0","9","0","39","0","12","0","7","0","-13","0","-4","0","0","0","-9","0","47","0","12","0","-36","0","11","0","17","0","0","0","12","0","-25","0","-24","0","-25","0","-6","0","-23","0","0","0","13","0","-21","0","34","0","2","0","39","0","1","0","0","0","17","0","13","0","-8","0","3","0","54","0","4","0","0","0","23","0","-6","0","-14","0","-20","0","15","0","-3","0","0","0","3","0","5","0","13","0","-42","0","-10","0","5","0","0","0","10","0","-1","0","-6","0","16","0","36","0","-5","0","0","0","-11","0","-4","0","0","0","-12","0","30","0","7","0","0","0","-15","0","15","0","-6","0","1","0","-33","0","14","0","0","0","37","0","-42","0","-3","0","22","0","11","0","-6","0","0","0","-6","0","-18","0","-3","0","48","0","5","0","-35","0","0","0","-24","0","3","0","21","0","10","0","-21","0","6","0","0","0","28","0","15","0","-29","0","13","0","-41","0","15","0"],"lmfdb":"agrees","curve":{"cremona":"392c1","lmfdb":"392.c","ainvs":[0,-1,0,-16,29],"rank":1,"torsion":1},"derived":{"al":[[2,null],[7,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"392.2.a.d","letter":"d","dim":1,"charpoly":["-6","1"],"traces":["1","0","0","0","-2","0","0","0","-3","0","-4","0","-2","0","0","0","6","0","-8","0","0","0","0","0","-1","0","0","0","6","0","-8","0","0","0","0","0","-2","0","0","0","-2","0","-4","0","6","0","8","0","0","0","0","0","6","0","8","0","0","0","0","0","6","0","0","0","4","0","-4","0","0","0","-8","0","-10","0","0","0","0","0","16","0","9","0","-8","0","-12","0","0","0","6","0","0","0","0","0","16","0","6","0","12","0","-2","0","16","0","0","0","-12","0","-10","0","0","0","2","0","0","0","6","0","0","0","5","0","0","0","12","0","-8","0","0","0","-8","0","0","0","0","0","-6","0","8","0","0","0","8","0","-12","0","0","0","6","0","0","0","-18","0","16","0","-18","0","0","0","0","0","-12","0","0","0","-16","0","-9","0","24","0","-18","0","0","0","0","0","-4","0","-10","0","0","0","4","0","-24","0","0","0","-16","0","-14","0","0","0","6","0","0","0","0","0","0","0","4","0","0","0","32","0","12","0","0","0","8","0","0","0","0","0","-12","0","0","0","3","0","8","0","-10","0","0","0","-22","0","-16","0","0","0","8","0","-10","0","0","0","0","0","16","0","0","0","-24","0","0","0","0","0","-2","0","0","0","-18","0","24","0","-12","0","0","0","14","0","0","0","0","0","4","0","22","0","24","0","-6","0","-16","0","0","0","0","0","19","0","0","0","-18","0","0","0","0","0","0","0","0","0","0","0","-12","0","8","0","0","0","-8","0","14","0","0","0","30","0","-24","0","0","0","-48","0","2","0","0","0","0","0","-4","0","6","0","8","0","2","0","0","0","32","0","0","0","0","0","12","0","30","0","0","0","14","0","16","0","0","0","0","0","45","0","0","0","20","0","-16","0","6","0","0","0","-26","0","0","0","-12","0","-4","0","0","0","24","0","0","0","12","0","-2","0","0","0","0","0","-32","0","14","0","0","0","18","0","16","0","-18","0","8","0","14","0","0","0","0","0","16","0","0","0","16","0","-26","0","-24","0","-6","0","0","0","0","0","-8","0","-10","0","0","0","0","0","-24","0","0","0","36","0","-12","0","0","0","34","0","8","0","0","0","0","0","-38","0","0","0","30","0","-16","0","0","0","8","0","0","0","0","0","16","0","8","0","-18","0","24","0","4","0","0","0","-12","0","-16","0","0","0","-12","0","36","0","-24","0","0","0","-4","0","0","0","-40","0","4","0","0","0","-34","0","0","0","0","0","-32","0","-32","0","0","0","-18","0","32","0","0","0","-48","0","-23","0","0","0","4","0","24","0","0","0","0","0","14","0","0","0","20","0","36","0","-18","0","-48","0","0","0","0","0","14","0","8","0","0","0","-32","0","-4","0","0","0","26","0","28","0","0","0","0","0","14","0","0","0","0","0","-24","0","-12","0","24","0","64","0","0","0","-34","0","0","0","0","0","-24","0","-26","0","12","0","-10","0","-32","0","0","0","-16","0","-18","0","0","0","-38","0","32","0","0","0","0","0","-19","0","0","0","-12","0","24","0","0","0","16","0","0","0","24","0","-30","0","-16","0","0","0","32","0","0","0","0","0","-26","0","16","0","30","0","-12","0","-2","0","0","0","0","0","0","0","0","0","-24","0","-14","0","0","0","6","0","0","0","0","0","36","0","12","0","0","0","-12","0","8","0","0","0","-16","0","-12","0","0","0","-42","0","16","0","0","0","0","0","30","0","-48","0","0","0","-16","0","0","0","-8","0","0","0","0","0","-6","0","-16","0","-27","0","-24","0","-26","0","0","0","16","0","52","0","0","0","32","0","-12","0","24","0","0","0","-8","0","0","0","0","0","-2","0","0","0","30","0","0","0","36","0","0","0","22","0","0","0","-50","0","8","0","0","0","16","0","32","0","0","0","36","0","40","0","0","0","0","0","-12","0","0","0","30","0","48","0","-18","0","40","0","0","0","0","0","26","0","-16","0","0","0","24","0","32","0","0","0","-10","0","24","0","0","0","-28","0","-26","0","0","0","0","0","32","0","0","0","48","0","7","0","0","0","18","0","0","0","0","0","0","0","-26","0","-48","0","-18","0","40","0","0","0","16","0","36","0","0","0","-64","0","8","0","-18","0","0","0","6","0","0","0","-18","0","-20","0","0","0","16","0","0","0","-36","0","-64","0","8","0","0","0","-48","0","36","0","0","0","20","0","-28","0","6","0","24","0","32","0","0","0","0","0","-40","0","0","0","16","0","2","0","-48","0","-10","0","0","0","0","0","48","0","-10","0","0","0","54","0","0","0","0","0","52","0","20","0","0","0","-6","0","32","0","0","0","0","0","33","0","36","0","28","0","-16","0","0","0","-48","0","0","0","0","0","2","0","-24","0","30","0","0","0","-12","0","0","0","0","0","-16","0","0","0","0","0","14","0","0","0"],"lmfdb":"agrees","curve":{"cremona":"392a1","lmfdb":"392.d","ainvs":[0,0,0,49,-686],"rank":1,"torsion":4},"derived":{"al":[[2,null],[7,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"392.2.a.e","letter":"e","dim":1,"charpoly":["-22","1"],"traces":["1","0","1","0","1","0","0","0","-2","0","3","0","6","0","1","0","5","0","-1","0","0","0","-7","0","-4","0","-5","0","2","0","5","0","3","0","0","0","3","0","6","0","2","0","-4","0","-2","0","-5","0","0","0","5","0","-1","0","3","0","-1","0","-15","0","5","0","0","0","6","0","-9","0","-7","0","0","0","-7","0","-4","0","0","0","1","0","1","0","-12","0","5","0","2","0","-7","0","0","0","5","0","-1","0","2","0","-6","0","-3","0","15","0","0","0","9","0","-5","0","3","0","-18","0","-7","0","-12","0","0","0","-2","0","2","0","-9","0","8","0","-4","0","-5","0","0","0","-5","0","11","0","12","0","-5","0","18","0","2","0","0","0","-17","0","-5","0","-10","0","5","0","9","0","-1","0","0","0","13","0","3","0","12","0","23","0","2","0","13","0","0","0","-15","0","-13","0","10","0","5","0","3","0","15","0","0","0","-11","0","3","0","6","0","-6","0","13","0","-9","0","0","0","2","0","14","0","-3","0","-4","0","0","0","-4","0","0","0","-7","0","30","0","24","0","8","0","-11","0","-23","0","0","0","11","0","-5","0","1","0","20","0","17","0","16","0","0","0","-6","0","-12","0","-16","0","-21","0","5","0","21","0","0","0","-4","0","-9","0","-1","0","-7","0","9","0","7","0","0","0","-12","0","-17","0","-10","0","6","0","13","0","-1","0","0","0","8","0","2","0","-6","0","-15","0","-15","0","-42","0","0","0","-3","0","5","0","-4","0","15","0","-15","0","1","0","0","0","3","0","6","0","9","0","-5","0","-24","0","-5","0","0","0","29","0","-6","0","-9","0","-10","0","-18","0","15","0","0","0","-7","0","15","0","-2","0","-30","0","-3","0","0","0","0","0","21","0","-18","0","-2","0","-7","0","-23","0","-4","0","0","0","11","0","-9","0","12","0","24","0","8","0","3","0","0","0","8","0","-29","0","-35","0","-5","0","1","0","17","0","0","0","27","0","30","0","1","0","9","0","-27","0","11","0","0","0","-12","0","12","0","-20","0","34","0","10","0","-20","0","0","0","18","0","3","0","2","0","2","0","7","0","-21","0","0","0","-31","0","-7","0","-17","0","-26","0","6","0","-5","0","0","0","-17","0","-25","0","30","0","-16","0","5","0","3","0","0","0","9","0","-12","0","4","0","2","0","-31","0","18","0","0","0","2","0","7","0","13","0","-24","0","10","0","-6","0","0","0","-35","0","12","0","32","0","-3","0","23","0","9","0","0","0","5","0","15","0","-15","0","13","0","33","0","7","0","0","0","25","0","26","0","30","0","12","0","9","0","-13","0","0","0","-41","0","10","0","-5","0","-8","0","-10","0","-2","0","0","0","3","0","-5","0","-24","0","15","0","41","0","-18","0","0","0","-33","0","-13","0","-11","0","28","0","33","0","3","0","0","0","-3","0","-12","0","20","0","-5","0","-6","0","45","0","0","0","13","0","-17","0","-22","0","18","0","-2","0","-13","0","0","0","-30","0","43","0","2","0","30","0","9","0","35","0","0","0","11","0","-3","0","15","0","-16","0","-4","0","8","0","0","0","0","0","-17","0","44","0","-4","0","-15","0","-45","0","0","0","35","0","-5","0","14","0","44","0","-23","0","30","0","0","0","-14","0","24","0","15","0","-26","0","20","0","-39","0","0","0","-11","0","27","0","11","0","-23","0","-6","0","-5","0","0","0","12","0","10","0","11","0","-50","0","-3","0","-5","0","0","0","-29","0","-2","0","-35","0","18","0","20","0","39","0","0","0","17","0","-8","0","-32","0","13","0","-20","0","-19","0","0","0","-27","0","-5","0","-6","0","-16","0","-17","0","24","0","0","0","53","0","-16","0","-5","0","10","0","-21","0","-3","0","0","0","-10","0","-90","0","-22","0","21","0","-19","0","-20","0","0","0","-2","0","0","0","-10","0","9","0","17","0","-9","0","0","0","30","0","-1","0","-18","0","-25","0","14","0","-21","0","0","0","9","0","39","0","-12","0","7","0","13","0","4","0","0","0","-9","0","47","0","-12","0","-36","0","-11","0","-17","0","0","0","12","0","-25","0","24","0","-25","0","6","0","23","0","0","0","13","0","-21","0","-34","0","2","0","-39","0","-1","0","0","0","17","0","13","0","8","0","3","0","-54","0","-4","0","0","0","23","0","-6","0","14","0","-20","0","-15","0","3","0","0","0","3","0","5","0","-13","0","-42","0","10","0","-5","0","0","0","10","0","-1","0","6","0","16","0","-36","0","5","0","0","0","-11","0","-4","0","0","0","-12","0","-30","0","-7","0","0","0","-15","0","15","0","6","0","1","0","33","0","-14","0","0","0","37","0","-42","0","3","0","22","0","-11","0","6","0","0","0","-6","0","-18","0","3","0","48","0","-5","0","35","0","0","0","-24","0","3","0","-21","0","10","0","21","0","-6","0","0","0","28","0","15","0","29","0","13","0","41","0","-15","0"],"lmfdb":"agrees","curve":{"cremona":"392b1","lmfdb":"392.e","ainvs":[0,1,0,-800,-8359],"rank":0,"torsion":1},"derived":{"al":[[2,null],[7,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"392.2.a.f","letter":"f","dim":1,"charpoly":["18","1"],"traces":["1","0","3","0","-1","0","0","0","6","0","-1","0","2","0","-3","0","3","0","5","0","0","0","-3","0","-4","0","9","0","-6","0","-1","0","-3","0","0","0","-5","0","6","0","-10","0","-4","0","-6","0","1","0","0","0","9","0","-9","0","1","0","15","0","3","0","3","0","0","0","-2","0","11","0","-9","0","16","0","7","0","-12","0","0","0","-11","0","9","0","-4","0","-3","0","-18","0","-9","0","0","0","-3","0","-5","0","6","0","-6","0","-13","0","5","0","0","0","-3","0","11","0","-15","0","-10","0","3","0","12","0","0","0","-10","0","-30","0","9","0","-8","0","-12","0","17","0","0","0","-9","0","3","0","4","0","3","0","-2","0","6","0","0","0","15","0","15","0","18","0","1","0","15","0","-27","0","0","0","9","0","3","0","-20","0","-9","0","30","0","-21","0","0","0","9","0","-1","0","22","0","9","0","5","0","-3","0","0","0","17","0","-5","0","-6","0","18","0","-9","0","33","0","0","0","10","0","-18","0","-5","0","12","0","48","0","4","0","0","0","21","0","6","0","24","0","-24","0","7","0","7","0","0","0","-13","0","-1","0","-33","0","-4","0","-17","0","0","0","0","0","10","0","-12","0","24","0","3","0","-9","0","-13","0","0","0","-36","0","3","0","9","0","-27","0","-17","0","-3","0","0","0","4","0","7","0","-6","0","-18","0","-17","0","-15","0","0","0","-8","0","18","0","6","0","-3","0","-9","0","-6","0","0","0","-39","0","-3","0","4","0","15","0","11","0","31","0","0","0","27","0","6","0","-9","0","15","0","-8","0","33","0","0","0","-7","0","-30","0","-11","0","14","0","-30","0","1","0","0","0","9","0","3","0","-6","0","18","0","-5","0","-16","0","0","0","-15","0","6","0","-30","0","-7","0","19","0","-60","0","0","0","19","0","27","0","-12","0","-16","0","-24","0","9","0","0","0","-24","0","19","0","-9","0","51","0","11","0","-17","0","0","0","3","0","-2","0","-9","0","5","0","19","0","9","0","0","0","4","0","12","0","20","0","10","0","6","0","-12","0","0","0","-6","0","-41","0","-26","0","18","0","-15","0","-15","0","0","0","-27","0","9","0","45","0","-2","0","10","0","45","0","0","0","-17","0","27","0","-6","0","-16","0","3","0","25","0","0","0","45","0","4","0","-20","0","-54","0","-21","0","-10","0","0","0","-6","0","-13","0","27","0","0","0","-18","0","6","0","0","0","-7","0","-60","0","16","0","13","0","-27","0","7","0","0","0","45","0","-5","0","-1","0","-63","0","15","0","13","0","0","0","-3","0","-14","0","18","0","-20","0","3","0","-3","0","0","0","-25","0","66","0","-11","0","0","0","18","0","-30","0","0","0","15","0","11","0","-8","0","-9","0","11","0","10","0","0","0","-1","0","-17","0","51","0","12","0","31","0","-15","0","0","0","9","0","-12","0","12","0","-5","0","54","0","43","0","0","0","-27","0","-21","0","-34","0","66","0","10","0","-7","0","0","0","2","0","-21","0","30","0","22","0","-5","0","-27","0","0","0","11","0","-15","0","-15","0","0","0","36","0","8","0","0","0","96","0","15","0","-44","0","12","0","43","0","-3","0","0","0","-5","0","-17","0","42","0","-36","0","-1","0","18","0","0","0","18","0","72","0","-3","0","-2","0","-36","0","-9","0","0","0","21","0","39","0","-3","0","21","0","-18","0","-47","0","0","0","-4","0","-30","0","-39","0","-18","0","-25","0","-3","0","0","0","27","0","-66","0","3","0","2","0","-12","0","29","0","0","0","-51","0","24","0","16","0","-27","0","-12","0","11","0","0","0","-11","0","-41","0","30","0","32","0","-15","0","-24","0","0","0","-47","0","72","0","-15","0","34","0","9","0","27","0","0","0","-18","0","6","0","14","0","-39","0","35","0","4","0","0","0","-50","0","-16","0","-54","0","-15","0","-13","0","9","0","0","0","6","0","27","0","42","0","3","0","-54","0","-7","0","0","0","-51","0","-25","0","-20","0","-9","0","-9","0","-20","0","0","0","-25","0","-21","0","12","0","-4","0","-37","0","21","0","0","0","20","0","-9","0","-24","0","7","0","-54","0","9","0","0","0","-51","0","15","0","-22","0","-30","0","-57","0","5","0","0","0","37","0","21","0","-24","0","11","0","22","0","36","0","0","0","39","0","18","0","18","0","28","0","-9","0","-55","0","0","0","-9","0","5","0","1","0","-18","0","6","0","-27","0","0","0","-22","0","-13","0","-78","0","-48","0","4","0","-9","0","0","0","17","0","12","0","32","0","20","0","30","0","-41","0","0","0","33","0","3","0","-38","0","93","0","39","0","30","0","0","0","49","0","14","0","81","0","30","0","-17","0","18","0","0","0","-30","0","-18","0","5","0","32","0","45","0","57","0","0","0","-24","0","-37","0","9","0","66","0","-33","0","-18","0","0","0","12","0","59","0","-21","0","9","0","31","0","-45","0"],"lmfdb":"agrees","curve":{"cremona":"392e1","lmfdb":"392.f","ainvs":[0,0,0,-343,-2401],"rank":0,"torsion":1},"derived":{"al":[[2,null],[7,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"392.2.a.g","letter":"g","dim":2,"charpoly":["-1148","4","1"],"traces":["2","0","0","0","0","0","0","0","-2","0","12","0","0","0","8","0","0","0","0","0","0","0","8","0","6","0","0","0","-12","0","0","0","0","0","0","0","4","0","-16","0","0","0","20","0","0","0","0","0","0","0","4","0","-4","0","0","0","-12","0","0","0","0","0","0","0","-32","0","8","0","0","0","-24","0","0","0","0","0","0","0","-8","0","-10","0","0","0","8","0","0","0","0","0","0","0","8","0","-24","0","0","0","-12","0","0","0","0","0","0","0","8","0","-20","0","0","0","8","0","0","0","0","0","0","0","50","0","-4","0","0","0","-16","0","0","0","0","0","0","0","-32","0","-8","0","0","0","-8","0","0","0","0","0","0","0","-12","0","16","0","0","0","16","0","0","0","0","0","0","0","4","0","48","0","0","0","38","0","0","0","0","0","0","0","4","0","40","0","0","0","-24","0","0","0","0","0","0","0","-8","0","32","0","0","0","36","0","0","0","0","0","0","0","-8","0","-8","0","0","0","24","0","0","0","0","0","0","0","-28","0","-16","0","0","0","-6","0","0","0","0","0","0","0","16","0","-16","0","0","0","-8","0","0","0","0","0","0","0","48","0","4","0","0","0","48","0","0","0","0","0","0","0","12","0","-8","0","0","0","-12","0","0","0","0","0","0","0","36","0","28","0","0","0","-64","0","0","0","0","0","0","0","-30","0","36","0","0","0","8","0","0","0","0","0","0","0","-8","0","-48","0","0","0","-40","0","0","0","0","0","0","0","-44","0","-72","0","0","0","-12","0","0","0","0","0","0","0","-28","0","-4","0","0","0","-28","0","0","0","0","0","0","0","32","0","20","0","0","0","64","0","0","0","0","0","0","0","-16","0","-2","0","0","0","-56","0","0","0","0","0","0","0","52","0","-16","0","0","0","-4","0","0","0","0","0","0","0","-20","0","-60","0","0","0","60","0","0","0","0","0","0","0","-36","0","-32","0","0","0","24","0","0","0","0","0","0","0","8","0","-60","0","0","0","-36","0","0","0","0","0","0","0","-96","0","72","0","0","0","-48","0","0","0","0","0","0","0","72","0","-24","0","0","0","-4","0","0","0","0","0","0","0","-48","0","-16","0","0","0","-32","0","0","0","0","0","0","0","48","0","120","0","0","0","4","0","0","0","0","0","0","0","72","0","72","0","0","0","56","0","0","0","0","0","0","0","-56","0","-8","0","0","0","-16","0","0","0","0","0","0","0","48","0","-80","0","0","0","0","0","0","0","0","0","0","0","8","0","-14","0","0","0","16","0","0","0","0","0","0","0","20","0","48","0","0","0","28","0","0","0","0","0","0","0","16","0","36","0","0","0","24","0","0","0","0","0","0","0","-44","0","-20","0","0","0","24","0","0","0","0","0","0","0","-24","0","32","0","0","0","-24","0","0","0","0","0","0","0","72","0","0","0","0","0","-8","0","0","0","0","0","0","0","32","0","84","0","0","0","44","0","0","0","0","0","0","0","-62","0","-72","0","0","0","56","0","0","0","0","0","0","0","24","0","-12","0","0","0","80","0","0","0","0","0","0","0","-52","0","120","0","0","0","12","0","0","0","0","0","0","0","-48","0","32","0","0","0","-88","0","0","0","0","0","0","0","28","0","8","0","0","0","0","0","0","0","0","0","0","0","-120","0","-4","0","0","0","76","0","0","0","0","0","0","0","68","0","8","0","0","0","-192","0","0","0","0","0","0","0","-4","0","-36","0","0","0","58","0","0","0","0","0","0","0","48","0","-12","0","0","0","-48","0","0","0","0","0","0","0","-24","0","4","0","0","0","-44","0","0","0","0","0","0","0","-8","0","-16","0","0","0","-36","0","0","0","0","0","0","0","12","0","-144","0","0","0","96","0","0","0","0","0","0","0","96","0","-16","0","0","0","-8","0","0","0","0","0","0","0","80","0","-64","0","0","0","-32","0","0","0","0","0","0","0","-36","0","-112","0","0","0","-8","0","0","0","0","0","0","0","-16","0","-32","0","0","0","14","0","0","0","0","0","0","0","-60","0","16","0","0","0","24","0","0","0","0","0","0","0","88","0","0","0","0","0","-48","0","0","0","0","0","0","0","-76","0","8","0","0","0","-56","0","0","0","0","0","0","0","-60","0","24","0","0","0","-64","0","0","0","0","0","0","0","96","0","-40","0","0","0","-96","0","0","0","0","0","0","0","-64","0","-4","0","0","0","12","0","0","0","0","0","0","0","-32","0","48","0","0","0","60","0","0","0","0","0","0","0","-84","0","112","0","0","0","-52","0","0","0","0","0","0","0","-46","0","-8","0","0","0","120","0","0","0","0","0","0","0","-48","0","24","0","0","0","20","0","0","0","0","0","0","0","80","0","-64","0","0","0","144","0","0","0","0","0"],"lmfdb":"agrees","derived":{"al":[[2,null],[7,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"392.2.a.h","letter":"h","dim":2,"charpoly":["-2296","-8","1"],"traces":["2","0","0","0","0","0","0","0","10","0","-8","0","0","0","16","0","0","0","0","0","0","0","0","0","6","0","0","0","4","0","0","0","0","0","0","0","20","0","-16","0","0","0","-8","0","0","0","0","0","0","0","-32","0","12","0","0","0","-16","0","0","0","0","0","0","0","-16","0","24","0","0","0","0","0","0","0","0","0","0","0","16","0","2","0","0","0","-32","0","0","0","0","0","0","0","-32","0","-16","0","0","0","-40","0","0","0","0","0","0","0","-24","0","4","0","0","0","20","0","0","0","0","0","0","0","10","0","32","0","0","0","16","0","0","0","0","0","0","0","32","0","-20","0","0","0","32","0","0","0","0","0","0","0","-20","0","32","0","0","0","-32","0","0","0","0","0","0","0","40","0","-64","0","0","0","-10","0","0","0","0","0","0","0","-16","0","-40","0","0","0","80","0","0","0","0","0","0","0","48","0","20","0","0","0","44","0","0","0","0","0","0","0","32","0","0","0","0","0","-8","0","0","0","0","0","0","0","0","0","32","0","0","0","30","0","0","0","0","0","0","0","-20","0","32","0","0","0","-16","0","0","0","0","0","0","0","16","0","-80","0","0","0","0","0","0","0","0","0","0","0","20","0","-32","0","0","0","0","0","0","0","0","0","0","0","-24","0","-20","0","0","0","12","0","0","0","0","0","0","0","30","0","32","0","0","0","-16","0","0","0","0","0","0","0","-48","0","80","0","0","0","-96","0","0","0","0","0","0","0","-36","0","-16","0","0","0","32","0","0","0","0","0","0","0","-40","0","100","0","0","0","-20","0","0","0","0","0","0","0","0","0","-40","0","0","0","-32","0","0","0","0","0","0","0","0","0","-22","0","0","0","0","0","0","0","0","0","0","0","-20","0","-32","0","0","0","-8","0","0","0","0","0","0","0","-40","0","-44","0","0","0","-80","0","0","0","0","0","0","0","12","0","32","0","0","0","-80","0","0","0","0","0","0","0","-80","0","80","0","0","0","12","0","0","0","0","0","0","0","64","0","48","0","0","0","32","0","0","0","0","0","0","0","8","0","0","0","0","0","4","0","0","0","0","0","0","0","36","0","-64","0","0","0","80","0","0","0","0","0","0","0","-80","0","32","0","0","0","60","0","0","0","0","0","0","0","32","0","0","0","0","0","8","0","0","0","0","0","0","0","56","0","-32","0","0","0","-48","0","0","0","0","0","0","0","-32","0","-96","0","0","0","-16","0","0","0","0","0","0","0","64","0","-46","0","0","0","-32","0","0","0","0","0","0","0","-68","0","48","0","0","0","40","0","0","0","0","0","0","0","160","0","60","0","0","0","128","0","0","0","0","0","0","0","60","0","-40","0","0","0","0","0","0","0","0","0","0","0","-48","0","-80","0","0","0","32","0","0","0","0","0","0","0","96","0","64","0","0","0","120","0","0","0","0","0","0","0","-32","0","-12","0","0","0","60","0","0","0","0","0","0","0","-62","0","64","0","0","0","-32","0","0","0","0","0","0","0","0","0","-20","0","0","0","-64","0","0","0","0","0","0","0","-28","0","-80","0","0","0","-24","0","0","0","0","0","0","0","0","0","-64","0","0","0","60","0","0","0","0","0","0","0","48","0","40","0","0","0","-144","0","0","0","0","0","0","0","80","0","-64","0","0","0","68","0","0","0","0","0","0","0","-44","0","80","0","0","0","64","0","0","0","0","0","0","0","160","0","12","0","0","0","-86","0","0","0","0","0","0","0","-96","0","-24","0","0","0","-32","0","0","0","0","0","0","0","-48","0","80","0","0","0","20","0","0","0","0","0","0","0","-160","0","16","0","0","0","0","0","0","0","0","0","0","0","-32","0","0","0","0","0","-80","0","0","0","0","0","0","0","-80","0","96","0","0","0","-64","0","0","0","0","0","0","0","-80","0","36","0","0","0","0","0","0","0","0","0","0","0","108","0","-32","0","0","0","40","0","0","0","0","0","0","0","-32","0","-64","0","0","0","-50","0","0","0","0","0","0","0","-16","0","0","0","0","0","-80","0","0","0","0","0","0","0","48","0","-16","0","0","0","-64","0","0","0","0","0","0","0","4","0","16","0","0","0","-40","0","0","0","0","0","0","0","-8","0","-32","0","0","0","0","0","0","0","0","0","0","0","48","0","40","0","0","0","-80","0","0","0","0","0","0","0","-64","0","48","0","0","0","60","0","0","0","0","0","0","0","-128","0","128","0","0","0","-96","0","0","0","0","0","0","0","-24","0","0","0","0","0","-12","0","0","0","0","0","0","0","2","0","-120","0","0","0","96","0","0","0","0","0","0","0","-48","0","-36","0","0","0","20","0","0","0","0","0","0","0","0","0","16","0","0","0","96","0","0","0","0","0"],"lmfdb":"agrees","derived":{"al":[[2,null],[7,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.413,"computed":"atlas","estimate":{"seconds":0.426,"low":0.26,"high":0.736,"bytes":2024022},"url":"https://sagebrush.space/atlas/mf/392.2.a"}