{"label":"892.2.a","level":892,"weight":2,"dims":{"new":18,"cusp":110,"eisenstein":5,"modsym":225},"old":[[223,18,3],[446,19,2]],"T":[[3,1],[5,3]],"status":"proven","checks":["dim M^+ at levels [1, 2, 4, 223, 446, 892]: [0, 1, 2, 19, 58, 115] (certified at ell = 2147482591)","T = [(3, 1), (5, 3)]; h of degree 18 = 1 x 18 (phi(ord eps) x dim S_k^new); 3 primes, 0 rejected"],"newforms":[{"label":"892.2.a.a","letter":"a","dim":1,"charpoly":["-5","1"],"traces":["1","0","-1","0","2","0","-2","0","-2","0","-3","0","6","0","-2","0","-7","0","0","0","2","0","-9","0","-1","0","5","0","7","0","-4","0","3","0","-4","0","-1","0","-6","0","-9","0","0","0","-4","0","4","0","-3","0","7","0","1","0","-6","0","0","0","-9","0","6","0","4","0","12","0","-11","0","9","0","0","0","-5","0","1","0","6","0","4","0","1","0","-12","0","-14","0","-7","0","-9","0","-12","0","4","0","0","0","-18","0","6","0","-6","0","11","0","4","0","-4","0","14","0","1","0","18","0","-18","0","-12","0","14","0","-2","0","9","0","-12","0","8","0","0","0","20","0","0","0","10","0","8","0","2","0","-4","0","-18","0","14","0","3","0","14","0","1","0","14","0","-8","0","10","0","-1","0","18","0","0","0","6","0","1","0","23","0","0","0","16","0","2","0","9","0","2","0","-5","0","-6","0","-2","0","21","0","-10","0","-5","0","-10","0","-12","0","-2","0","18","0","11","0","-14","0","-18","0","18","0","0","0","-4","0","0","0","0","0","8","0","5","0","-42","0","1","0","2","0","6","0","28","0","-6","0","-4","0","8","0","-4","0","-24","0","-7","0","-16","0","-6","0","0","0","12","0","20","0","27","0","14","0","-25","0","2","0","-14","0","-29","0","2","0","9","0","-10","0","15","0","12","0","3","0","8","0","8","0","15","0","18","0","0","0","18","0","32","0","18","0","-28","0","-18","0","-15","0","-54","0","0","0","6","0","12","0","7","0","-11","0","-25","0","-28","0","8","0","-9","0","-21","0","4","0","0","0","-6","0","-14","0","-8","0","-23","0","2","0","-22","0","4","0","-18","0","12","0","20","0","18","0","-6","0","-7","0","30","0","-14","0","0","0","-14","0","-2","0","-19","0","2","0","-10","0","0","0","18","0","-2","0","-24","0","12","0","42","0","34","0","-8","0","-29","0","12","0","0","0","-1","0","63","0","-20","0","8","0","28","0","0","0","14","0","-24","0","2","0","3","0","28","0","-8","0","18","0","-24","0","-2","0","32","0","34","0","-8","0","7","0","-12","0","18","0","11","0","-34","0","-14","0","0","0","-33","0","6","0","-38","0","-18","0","-14","0","-24","0","27","0","-1","0","-24","0","-6","0","-35","0","-5","0","-22","0","8","0","9","0","22","0","-10","0","0","0","0","0","-2","0","18","0","-6","0","-18","0","-36","0","-10","0","0","0","-17","0","-49","0","12","0","0","0","16","0","-1","0","35","0","-12","0","-23","0","6","0","10","0","0","0","22","0","-12","0","-16","0","-30","0","-36","0","-2","0","28","0","58","0","18","0","-54","0","-8","0","-2","0","9","0","-8","0","5","0","28","0","4","0","-12","0","0","0","-8","0","2","0","-10","0","0","0","-21","0","-28","0","36","0","-2","0","-18","0","-25","0","5","0","9","0","-3","0","10","0","24","0","-3","0","-24","0","-31","0","0","0","2","0","-16","0","28","0","-18","0","42","0","14","0","22","0","-4","0","35","0","14","0","24","0","-36","0","18","0","-41","0","17","0","-45","0","18","0","-19","0","0","0","7","0","-27","0","4","0","16","0","-18","0","0","0","12","0","50","0","0","0","20","0","27","0","-8","0","-14","0","40","0","10","0","-12","0","-28","0","42","0","0","0","-63","0","-1","0","-18","0","-33","0","-5","0","-2","0","36","0","-6","0","48","0","16","0","-28","0","6","0","-8","0","-12","0","4","0","63","0","4","0","5","0","0","0","-8","0","12","0","4","0","-8","0","36","0","-36","0","24","0","-12","0","-22","0","7","0","-7","0","-22","0","13","0","0","0","-29","0","6","0","33","0","12","0","0","0","6","0","28","0","24","0","8","0","26","0","-20","0","2","0","-22","0","-27","0","-20","0","-28","0","28","0","-54","0","-45","0","25","0","-12","0","4","0","-2","0","0","0","0","0","35","0","20","0","43","0","29","0","-36","0","36","0","-2","0","45","0","-28","0","18","0","15","0","36","0","10","0","12","0","4","0","-15","0","0","0","0","0","24","0","15","0","-40","0","-3","0","7","0","-28","0","-8","0","21","0","2","0","-20","0","9","0","20","0","-15","0","46","0","4","0","-18","0","9","0","-44","0","0","0","54","0","56","0","-18","0","1","0","32","0","-32","0","-12","0","-66","0","36","0","24","0","-22","0","28","0","9","0","44","0","18","0","0","0","-16","0","-3","0","0","0","4","0","54","0","-28","0","-7","0","0","0","-10","0","-48","0","12","0","-26","0","36","0","-12","0","-40","0","24","0","-7","0","0","0","1","0","-22","0","-13","0","0","0","25","0","42","0","-50","0","28","0","-15","0","81","0","-20","0","24","0","-30","0","9","0","0","0","-10","0","21","0","-16","0","-15","0","8","0","-20","0","4","0","0","0","-35","0","-4","0","6","0","-48","0","27","0","-28","0","-24","0","-4","0","8","0","0","0","44","0","23","0","36","0","-26","0","-5","0"],"lmfdb":"agrees","curve":{"cremona":"892c1","lmfdb":"892.a","ainvs":[0,-1,0,-12,-8],"rank":1,"torsion":1},"derived":{"al":[[2,null],[223,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"892.2.a.b","letter":"b","dim":1,"charpoly":["-1","1"],"traces":["1","0","1","0","0","0","-4","0","-2","0","3","0","-4","0","0","0","-3","0","2","0","-4","0","-3","0","-5","0","-5","0","3","0","-4","0","3","0","0","0","-1","0","-4","0","3","0","-10","0","0","0","-12","0","9","0","-3","0","9","0","0","0","2","0","9","0","8","0","8","0","0","0","11","0","-3","0","-12","0","-13","0","-5","0","-12","0","-4","0","1","0","12","0","0","0","3","0","15","0","16","0","-4","0","0","0","8","0","-6","0","-6","0","-19","0","0","0","-12","0","2","0","-1","0","0","0","0","0","8","0","12","0","-2","0","3","0","0","0","2","0","-10","0","-12","0","-8","0","0","0","-12","0","20","0","-12","0","-12","0","0","0","9","0","12","0","-13","0","6","0","0","0","14","0","9","0","12","0","20","0","0","0","-9","0","3","0","-4","0","6","0","20","0","9","0","-12","0","-1","0","8","0","0","0","-9","0","20","0","-3","0","26","0","0","0","-18","0","20","0","11","0","-12","0","0","0","6","0","6","0","2","0","-12","0","0","0","16","0","-13","0","12","0","1","0","10","0","-12","0","14","0","-12","0","0","0","0","0","-4","0","-30","0","-7","0","16","0","0","0","-8","0","12","0","-18","0","-9","0","0","0","3","0","4","0","-6","0","9","0","0","0","15","0","6","0","-7","0","16","0","-15","0","8","0","8","0","3","0","14","0","0","0","-12","0","-8","0","8","0","-24","0","0","0","-15","0","12","0","40","0","-6","0","0","0","-7","0","-19","0","-3","0","-16","0","0","0","15","0","9","0","-12","0","-6","0","20","0","2","0","48","0","-25","0","2","0","0","0","-4","0","0","0","-12","0","-8","0","0","0","-24","0","5","0","20","0","30","0","0","0","12","0","6","0","-15","0","-2","0","0","0","8","0","-6","0","-36","0","-4","0","0","0","-12","0","-22","0","2","0","-3","0","0","0","20","0","-9","0","9","0","-12","0","0","0","-34","0","-8","0","18","0","16","0","0","0","-3","0","-16","0","-12","0","-36","0","0","0","20","0","6","0","-22","0","24","0","15","0","-32","0","-12","0","-27","0","2","0","0","0","-6","0","-19","0","-18","0","18","0","0","0","12","0","-24","0","9","0","-13","0","0","0","-10","0","15","0","-21","0","32","0","0","0","27","0","-44","0","14","0","-30","0","-10","0","-18","0","-30","0","4","0","12","0","0","0","-22","0","20","0","-3","0","-9","0","0","0","48","0","-4","0","-9","0","-39","0","0","0","3","0","-30","0","52","0","-10","0","0","0","-36","0","6","0","24","0","20","0","20","0","12","0","-14","0","-18","0","-12","0","0","0","-12","0","27","0","14","0","-1","0","0","0","-34","0","-16","0","6","0","16","0","0","0","6","0","40","0","-9","0","-12","0","0","0","-4","0","-30","0","-19","0","-3","0","15","0","29","0","26","0","-48","0","27","0","0","0","-33","0","-8","0","-18","0","-36","0","0","0","20","0","24","0","8","0","-22","0","0","0","-7","0","-12","0","48","0","38","0","0","0","27","0","-13","0","15","0","-60","0","25","0","6","0","3","0","11","0","2","0","0","0","-36","0","24","0","-30","0","14","0","0","0","-6","0","27","0","16","0","12","0","0","0","26","0","12","0","2","0","12","0","0","0","-9","0","1","0","24","0","-37","0","25","0","30","0","-32","0","-12","0","30","0","0","0","14","0","-36","0","-28","0","24","0","0","0","-9","0","0","0","-15","0","-2","0","0","0","24","0","50","0","8","0","12","0","0","0","-30","0","24","0","76","0","-7","0","-15","0","26","0","13","0","30","0","-49","0","0","0","33","0","20","0","-8","0","-18","0","0","0","-24","0","48","0","8","0","-18","0","0","0","14","0","-9","0","36","0","-8","0","0","0","-36","0","23","0","3","0","-36","0","20","0","4","0","6","0","-36","0","-15","0","0","0","29","0","9","0","0","0","-32","0","0","0","33","0","36","0","-30","0","-39","0","0","0","6","0","30","0","20","0","-7","0","0","0","-20","0","-32","0","-33","0","-40","0","-15","0","-15","0","-10","0","8","0","-27","0","0","0","20","0","-21","0","-20","0","3","0","0","0","8","0","14","0","3","0","26","0","0","0","-54","0","20","0","-12","0","51","0","0","0","-8","0","-12","0","-44","0","-16","0","0","0","50","0","-24","0","33","0","8","0","0","0","-6","0","-8","0","3","0","-24","0","0","0","12","0","-12","0","-27","0","40","0","0","0","-10","0","12","0","42","0","36","0","0","0","48","0","-16","0","-7","0","48","0","5","0","38","0","51","0","18","0","-3","0","0","0","26","0","-16","0","-39","0","-9","0","0","0","-18","0","52","0","15","0","18","0","0","0","9","0","48","0","-15","0","24","0","0","0","8","0","-6","0","27","0","-80","0","20","0","36","0","45","0","-4","0","-48","0","0","0","48","0","30","0","-40","0","-25","0","0","0","-10","0","5","0"],"lmfdb":"agrees","curve":{"cremona":"892b1","lmfdb":"892.b","ainvs":[0,1,0,-188,932],"rank":1,"torsion":3},"derived":{"al":[[2,null],[223,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"892.2.a.c","letter":"c","dim":1,"charpoly":["-3","1"],"traces":["1","0","3","0","0","0","4","0","6","0","1","0","0","0","0","0","-3","0","-6","0","12","0","-1","0","-5","0","9","0","-5","0","-8","0","3","0","0","0","-1","0","0","0","11","0","-6","0","0","0","8","0","9","0","-9","0","9","0","0","0","-18","0","11","0","8","0","24","0","0","0","-7","0","-3","0","-12","0","-5","0","-15","0","4","0","-4","0","9","0","0","0","0","0","-15","0","-9","0","0","0","-24","0","0","0","-12","0","6","0","10","0","7","0","0","0","12","0","10","0","-3","0","-4","0","0","0","0","0","-12","0","-10","0","33","0","0","0","14","0","-18","0","0","0","-24","0","0","0","0","0","-8","0","24","0","0","0","0","0","27","0","0","0","1","0","-18","0","0","0","22","0","27","0","-4","0","-12","0","0","0","-3","0","-13","0","-36","0","-6","0","-20","0","33","0","-4","0","-17","0","24","0","0","0","-3","0","36","0","15","0","-2","0","0","0","14","0","24","0","-21","0","-20","0","0","0","-6","0","-6","0","22","0","-36","0","0","0","-32","0","-15","0","0","0","-1","0","-30","0","-12","0","2","0","12","0","-24","0","0","0","-12","0","30","0","-7","0","0","0","0","0","0","0","0","0","18","0","-1","0","0","0","-21","0","-4","0","-30","0","-13","0","0","0","-27","0","-22","0","27","0","0","0","-5","0","8","0","-48","0","27","0","-14","0","0","0","44","0","-8","0","-36","0","-8","0","0","0","9","0","0","0","-24","0","30","0","0","0","11","0","21","0","-25","0","28","0","0","0","-17","0","-5","0","36","0","18","0","0","0","30","0","32","0","13","0","-6","0","0","0","-24","0","-12","0","-8","0","8","0","0","0","0","0","-19","0","0","0","-18","0","0","0","-36","0","14","0","17","0","-30","0","0","0","-28","0","66","0","36","0","-12","0","0","0","0","0","2","0","42","0","-1","0","0","0","-36","0","7","0","3","0","0","0","0","0","34","0","-72","0","34","0","0","0","0","0","-1","0","28","0","0","0","44","0","0","0","-24","0","14","0","-14","0","48","0","15","0","32","0","0","0","-9","0","2","0","0","0","6","0","-9","0","54","0","26","0","0","0","0","0","-4","0","11","0","3","0","0","0","-6","0","-27","0","19","0","24","0","0","0","33","0","-28","0","66","0","-6","0","30","0","54","0","-18","0","0","0","-12","0","0","0","26","0","-36","0","31","0","15","0","0","0","-48","0","-28","0","-9","0","-21","0","0","0","-39","0","34","0","-20","0","-54","0","0","0","8","0","-18","0","36","0","-12","0","-60","0","24","0","-22","0","66","0","0","0","0","0","-12","0","9","0","-10","0","-51","0","0","0","-14","0","48","0","30","0","-16","0","0","0","2","0","0","0","-9","0","-4","0","0","0","36","0","-38","0","-1","0","45","0","5","0","-11","0","-6","0","0","0","9","0","0","0","21","0","48","0","42","0","-44","0","0","0","72","0","-40","0","-4","0","-42","0","0","0","-13","0","-60","0","0","0","42","0","0","0","27","0","-47","0","-9","0","-36","0","25","0","-18","0","3","0","-15","0","66","0","0","0","0","0","-72","0","34","0","-26","0","0","0","-14","0","11","0","-96","0","-40","0","0","0","-30","0","36","0","-26","0","0","0","0","0","5","0","-3","0","8","0","19","0","-45","0","-18","0","-48","0","-36","0","46","0","0","0","6","0","0","0","-20","0","24","0","0","0","-33","0","-72","0","33","0","6","0","0","0","40","0","-34","0","-24","0","8","0","0","0","90","0","-24","0","28","0","-21","0","25","0","26","0","-27","0","18","0","23","0","0","0","-7","0","20","0","0","0","26","0","0","0","0","0","48","0","20","0","54","0","0","0","-26","0","-3","0","12","0","40","0","0","0","0","0","15","0","-63","0","4","0","40","0","-12","0","-66","0","-12","0","-45","0","0","0","-49","0","-39","0","-16","0","0","0","0","0","-15","0","-24","0","-54","0","-5","0","0","0","-66","0","-46","0","20","0","81","0","0","0","36","0","0","0","-9","0","-32","0","-15","0","35","0","-46","0","24","0","-27","0","0","0","-72","0","33","0","-4","0","81","0","0","0","-40","0","-42","0","1","0","54","0","0","0","18","0","-20","0","132","0","17","0","0","0","-24","0","-4","0","0","0","-72","0","0","0","30","0","-24","0","-23","0","16","0","0","0","30","0","56","0","9","0","-48","0","0","0","0","0","40","0","-27","0","-72","0","0","0","30","0","60","0","-14","0","0","0","0","0","0","0","0","0","33","0","0","0","5","0","42","0","-13","0","-54","0","-75","0","0","0","26","0","84","0","-15","0","-11","0","0","0","42","0","0","0","-51","0","-26","0","0","0","-15","0","0","0","33","0","72","0","0","0","16","0","54","0","-7","0","-32","0","0","0","-28","0","-9","0","60","0","-16","0","0","0","96","0","6","0","8","0","39","0","0","0","22","0","-9","0"],"lmfdb":"agrees","curve":{"cremona":"892a1","lmfdb":"892.c","ainvs":[0,0,0,-415,3254],"rank":0,"torsion":1},"derived":{"al":[[2,null],[223,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"892.2.a.d","letter":"d","dim":7,"charpoly":["3768","-16508","-35412","-14443","-1397","121","25","1"],"traces":["7","0","-4","0","-7","0","-1","0","11","0","-12","0","-9","0","-12","0","8","0","-12","0","-7","0","-12","0","12","0","-13","0","-24","0","1","0","-12","0","-15","0","-13","0","-13","0","5","0","-13","0","-15","0","-21","0","4","0","-18","0","-35","0","1","0","-3","0","-23","0","-17","0","-31","0","0","0","-18","0","-4","0","-4","0","23","0","19","0","3","0","4","0","19","0","-44","0","20","0","5","0","0","0","2","0","30","0","-12","0","32","0","-1","0","10","0","25","0","63","0","-16","0","0","0","11","0","4","0","39","0","16","0","-34","0","43","0","-25","0","-3","0","-9","0","77","0","-18","0","13","0","-9","0","7","0","15","0","41","0","4","0","28","0","-4","0","-21","0","17","0","7","0","-41","0","-4","0","35","0","8","0","-16","0","40","0","-9","0","0","0","12","0","-61","0","8","0","72","0","-17","0","39","0","-4","0","43","0","-7","0","41","0","9","0","32","0","110","0","-24","0","6","0","29","0","-9","0","27","0","-18","0","72","0","4","0","20","0","-15","0","25","0","29","0","24","0","7","0","44","0","-74","0","30","0","63","0","4","0","13","0","59","0","44","0","-20","0","-18","0","-17","0","22","0","0","0","-18","0","-60","0","25","0","38","0","43","0","16","0","-103","0","46","0","-59","0","15","0","-8","0","-23","0","-12","0","-81","0","34","0","-14","0","-18","0","40","0","-46","0","-13","0","-41","0","17","0","-4","0","13","0","45","0","-83","0","18","0","-42","0","6","0","41","0","-2","0","50","0","14","0","-38","0","52","0","-58","0","-55","0","-94","0","35","0","-9","0","40","0","-123","0","22","0","24","0","82","0","-38","0","-5","0","44","0","-6","0","20","0","-92","0","-46","0","25","0","-20","0","-46","0","-47","0","1","0","-64","0","17","0","56","0","16","0","-40","0","-90","0","14","0","27","0","-78","0","-10","0","-24","0","-30","0","-32","0","-7","0","-4","0","-75","0","-6","0","61","0","-41","0","-50","0","-36","0","-73","0","55","0","27","0","-42","0","159","0","16","0","1","0","-83","0","-116","0","-35","0","61","0","52","0","-64","0","0","0","-16","0","-21","0","59","0","-1","0","-87","0","82","0","68","0","17","0","9","0","-83","0","-14","0","9","0","-58","0","-46","0","7","0","-104","0","-13","0","32","0","-6","0","1","0","-42","0","-81","0","-31","0","28","0","-1","0","-22","0","3","0","-19","0","-76","0","-78","0","118","0","-61","0","133","0","-88","0","-87","0","-62","0","-18","0","47","0","-76","0","-30","0","-85","0","79","0","-47","0","28","0","11","0","-107","0","-133","0","-49","0","-6","0","11","0","44","0","82","0","14","0","-48","0","-8","0","55","0","80","0","35","0","81","0","-2","0","99","0","-36","0","23","0","11","0","-25","0","-134","0","-20","0","154","0","8","0","-8","0","-55","0","-38","0","57","0","-27","0","-61","0","-14","0","85","0","38","0","32","0","38","0","-35","0","17","0","-51","0","-101","0","-126","0","-52","0","119","0","107","0","-1","0","42","0","-27","0","69","0","-60","0","-13","0","83","0","37","0","-47","0","-40","0","-70","0","-89","0","71","0","50","0","111","0","118","0","-80","0","-73","0","-57","0","31","0","-11","0","-8","0","74","0","33","0","-63","0","-47","0","68","0","3","0","39","0","-4","0","13","0","-137","0","204","0","49","0","60","0","-62","0","-140","0","13","0","70","0","77","0","30","0","-92","0","-128","0","52","0","64","0","35","0","-3","0","41","0","-34","0","-136","0","-58","0","4","0","108","0","-73","0","25","0","-41","0","-91","0","-28","0","54","0","-22","0","60","0","57","0","72","0","13","0","48","0","-39","0","-98","0","-41","0","-104","0","-59","0","-3","0","105","0","119","0","-39","0","128","0","76","0","55","0","51","0","-56","0","78","0","3","0","15","0","111","0","56","0","-10","0","-34","0","4","0","20","0","5","0","108","0","36","0","91","0","77","0","-127","0","-3","0","-145","0","45","0","21","0","-4","0","96","0","59","0","-163","0","95","0","-26","0","157","0","-25","0","142","0","41","0","-49","0","32","0","260","0","36","0","75","0","75","0","82","0","-49","0","23","0","2","0","111","0","93","0","114","0","-61","0","47","0","79","0","60","0","66","0","27","0","60","0","144","0","-11","0","-7","0","16","0","126","0","54","0","48","0","-3","0","-1","0","-167","0","74","0","30","0","91","0","51","0","128","0","11","0","75","0","-20","0","-98","0","-42","0","43","0","168","0","70","0","9","0","123","0","38","0","46","0","-20","0","-82","0","-194","0","-25","0","51","0","23","0","-196","0","-93","0","-10","0","65","0","52","0","-4","0","67","0","-86","0","-11","0","-18","0","-37","0","-49","0","-1","0","-95","0","-4","0","85","0","-2","0","-35","0","-13","0","41","0","-39","0","-91","0","15","0","48","0","-250","0","81","0","137","0","56","0","-26","0","44","0","21","0","-24","0","-25","0","-45","0"],"lmfdb":"agrees","derived":{"al":[[2,null],[223,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"892.2.a.e","letter":"e","dim":8,"charpoly":["-4388504","2245652","130758","-142337","4242","2710","-162","-14","1"],"traces":["8","0","-1","0","5","0","5","0","1","0","13","0","3","0","6","0","1","0","8","0","-5","0","21","0","11","0","2","0","11","0","13","0","-9","0","29","0","6","0","5","0","-12","0","23","0","11","0","23","0","1","0","31","0","14","0","15","0","7","0","2","0","-13","0","17","0","-8","0","9","0","-27","0","38","0","-6","0","8","0","17","0","-12","0","-28","0","28","0","-16","0","12","0","-9","0","2","0","20","0","30","0","-14","0","-3","0","8","0","-18","0","-53","0","30","0","-22","0","-10","0","0","0","-3","0","-28","0","-4","0","-11","0","12","0","-9","0","-5","0","-25","0","18","0","13","0","-27","0","-47","0","-23","0","-27","0","18","0","-30","0","-89","0","5","0","0","0","-31","0","-3","0","-58","0","-64","0","0","0","-2","0","-30","0","34","0","-57","0","20","0","5","0","-14","0","-35","0","-7","0","-18","0","10","0","-23","0","-36","0","-45","0","12","0","-20","0","-28","0","10","0","-24","0","-16","0","57","0","-39","0","14","0","-42","0","-36","0","4","0","3","0","-47","0","-18","0","12","0","-8","0","14","0","32","0","-40","0","-39","0","-14","0","-3","0","19","0","-16","0","5","0","-20","0","17","0","-22","0","-62","0","18","0","23","0","31","0","-3","0","-27","0","34","0","56","0","-64","0","46","0","37","0","-27","0","13","0","61","0","-19","0","-58","0","1","0","24","0","-16","0","-56","0","-21","0","-23","0","95","0","22","0","-46","0","27","0","-7","0","-36","0","-34","0","5","0","34","0","49","0","-50","0","50","0","29","0","-25","0","-38","0","37","0","6","0","-11","0","7","0","-15","0","11","0","-4","0","-44","0","32","0","34","0","79","0","-66","0","60","0","21","0","-6","0","12","0","-39","0","82","0","48","0","14","0","19","0","96","0","33","0","-134","0","18","0","54","0","2","0","8","0","5","0","80","0","59","0","92","0","-14","0","-29","0","-48","0","-4","0","61","0","0","0","-37","0","9","0","42","0","28","0","96","0","-19","0","55","0","30","0","3","0","28","0","13","0","77","0","52","0","-52","0","-47","0","12","0","57","0","-34","0","-30","0","93","0","0","0","53","0","47","0","50","0","-30","0","7","0","-26","0","28","0","-6","0","-13","0","-9","0","53","0","41","0","100","0","56","0","-22","0","-24","0","23","0","-46","0","49","0","7","0","-30","0","-63","0","10","0","5","0","-63","0","69","0","73","0","6","0","55","0","-83","0","27","0","38","0","24","0","-3","0","13","0","18","0","20","0","-71","0","53","0","-3","0","0","0","25","0","5","0","27","0","29","0","-90","0","133","0","0","0","44","0","63","0","136","0","33","0","-47","0","20","0","-13","0","9","0","-10","0","-31","0","92","0","-31","0","126","0","29","0","26","0","18","0","4","0","-33","0","1","0","18","0","-1","0","-121","0","73","0","-20","0","-42","0","26","0","-58","0","-72","0","-30","0","-125","0","-25","0","55","0","71","0","12","0","86","0","-44","0","-49","0","9","0","84","0","-21","0","-44","0","1","0","54","0","81","0","-158","0","-51","0","-25","0","29","0","41","0","47","0","16","0","-29","0","-54","0","-126","0","139","0","55","0","-70","0","135","0","16","0","-8","0","3","0","-71","0","-1","0","26","0","-89","0","-4","0","1","0","-49","0","98","0","-33","0","15","0","-48","0","-60","0","8","0","-83","0","-74","0","-53","0","-78","0","114","0","8","0","59","0","-88","0","80","0","-43","0","-111","0","-54","0","-4","0","-68","0","-14","0","-40","0","21","0","-99","0","-53","0","-38","0","-51","0","-52","0","-5","0","-8","0","-36","0","-182","0","-70","0","-54","0","41","0","-28","0","91","0","-24","0","-79","0","-141","0","-5","0","-7","0","83","0","-153","0","-16","0","-85","0","-85","0","-18","0","-119","0","-84","0","17","0","59","0","14","0","-42","0","110","0","-37","0","-24","0","-26","0","-39","0","-48","0","-21","0","-21","0","14","0","-75","0","105","0","-24","0","77","0","-66","0","-22","0","-9","0","154","0","-29","0","-70","0","-39","0","14","0","82","0","-18","0","84","0","14","0","0","0","-183","0","-123","0","35","0","-83","0","19","0","22","0","-84","0","47","0","27","0","-13","0","9","0","9","0","-11","0","-68","0","154","0","50","0","84","0","-118","0","-19","0","31","0","-16","0","-64","0","-110","0","-120","0","-74","0","63","0","-21","0","22","0","-50","0","-42","0","111","0","-204","0","37","0","-65","0","-27","0","56","0","-110","0","19","0","-20","0","72","0","113","0","-65","0","62","0","-76","0","-75","0","26","0","83","0","-115","0","-134","0","-113","0","89","0","-83","0","-14","0","1","0","53","0","47","0","11","0","-2","0","-93","0","123","0","-23","0","73","0","-28","0","-93","0","-83","0","-1","0","-70","0","-67","0","-25","0","-40","0","117","0","-33","0","-99","0","5","0","90","0","51","0","-9","0","-114","0","-50","0","-52","0","4","0","-48","0","105","0","-88","0"],"lmfdb":"agrees","derived":{"al":[[2,null],[223,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.264,"computed":"atlas","estimate":{"seconds":0.557,"low":0.34,"high":0.964,"bytes":2255901},"url":"https://sagebrush.space/atlas/mf/892.2.a"}