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4,24,0,7,8,0,6,13,5,12,23,20,18,6,19,12,9,9,14,6,8,12,18,10,6,3,1,5,13,9,17,2,12,8,5,15,4,4,20,22,17,20,10,24,1,1,15,0,5,14,3,15,23,17,23,7,3,23,11,6,3,1,6,13,1,10,13,3,22,12,18,9,12,3,19,23,21,2,14,22,6,8,7,11,22,4,13,4,8,22,11,1,19,9,24,13,9,13,8,4,3,21,24,15,21,2,7,8,20,17,9,0,11,1,13,11,16,13,21,9,19,19,3,12,17,17, 15,14,22,8,21,13,7,5,15,23,0,12,20,3,12,21,13,20,6,1,9,10,19,10,9,1,7,16,12,20,18,8,5,11,12,5,23,8,17,17,3,14,14,2,3,2,21,7,1,1,1,21,11,7,1,13,7,17,6,15,4,4,1,8,19,0,21,13,24,3,4,15,10,16,9,17,20,2,9,12,20,13,11,7,23,16,8,24,10,8,24,19,7,17,4,5,7,15,20,0,14,9,2,18,4,16,15,7,0,3,24,11,23,6,3,16,23,18,14,18,8,9,2,6,1,1, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 20,10,18,13,11,6,21,13,4,14,0,22,18,24,4,18,17,11,8,2,4,9,14,19,5,23,17,5,19,10,7,24,23,17,5,0,9,17,8,15,24,15,17,23,19,3,5,8,0,3,15,1,11,4,19,10,1,20,1,9,17,3,10,10,6,15,2,21,15,20,7,1,23,10,4,9,15,12,4,22,13,1,13,10,6,3,4,10,11,13,4,19,23,23,5,11,1,23,7,5,17,11,21,23,7,22,9,6,10,5,22,3,23,15,9,24,23,9,12,9,4,15,19,12,23,23, 11,22,24,19,18,14,6,11,4,7,13,16,0,11,18,2,12,4,3,23,9,13,6,17,22,12,17,8,20,10,24,1,6,13,15,14,11,22,9,24,8,3,20,13,9,11,11,18,4,6,3,24,5,12,24,22,16,21,0,0,11,11,6,4,22,0,11,1,14,17,15,24,9,1,21,13,22,7,18,5,9,5,4,20,11,24,18,16,24,4,6,20,24,16,18,13,13,3,18,20,8,14,10,18,17,4,5,19,23,17,22,12,8,18,7,16,2,11,24,13,3,7,5,13,8,5, 10,14,14,13,24,8,15,1,3,12,0,23,9,12,1,19,6,14,14,3,2,4,0,3,14,16,22,16,10,22,13,2,9,24,21,8,2,8,14,15,6,2,23,12,20,16,5,12,2,4,5,14,14,20,22,4,7,24,24,23,15,24,7,21,21,14,13,9,21,12,15,9,13,0,16,10,11,10,2,16,18,11,18,7,2,5,1,2,7,1,3,11,18,4,22,19,15,9,21,15,6,18,19,19,0,18,11,10,12,10,5,24,14,15,14,7,1,16,14,22,0,21,19,6,20,16, 19,9,3,2,15,20,9,1,18,24,3,1,2,11,4,18,16,17,4,14,13,21,15,3,9,4,4,3,16,2,5,16,12,24,18,1,13,9,10,1,17,5,17,5,18,8,18,14,13,14,5,8,11,16,6,24,20,17,3,3,0,1,11,11,24,2,11,15,4,19,16,21,9,17,18,22,13,20,0,13,22,12,17,23,12,15,24,7,19,0,20,21,15,9,7,10,12,9,16,10,12,14,2,22,21,10,8,18,21,14,20,15,2,16,20,23,19,5,24,1,10,11,23,18,20,12, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 22,0,14,7,2,14,1,10,14,3,18,12,1,23,7,9,18,14,11,1,5,19,17,18,19,12,3,24,12,1,14,20,21,6,21,17,12,19,1,9,23,8,8,20,22,20,10,9,15,22,10,6,1,1,7,6,10,3,8,8,10,20,19,17,1,0,2,14,6,4,3,1,8,13,22,3,15,4,12,2,11,13,8,0,3,10,12,13,15,2,12,17,4,5,19,22,2,14,5,3,4,16,8,15,12,6,23,18,1,14,2,7,15,14,24,4,9,6,3,20,15,19,17,16,21,20, 0,20,23,14,13,3,11,7,19,15,20,8,12,24,13,15,17,12,15,6,21,3,13,6,0,13,9,0,13,9,12,7,2,1,19,15,16,12,21,13,21,15,24,5,1,1,8,16,1,21,16,22,14,19,2,20,14,24,20,23,19,2,24,8,22,0,23,2,14,7,13,16,15,10,7,20,11,24,6,18,8,11,6,4,8,12,9,11,17,4,0,4,11,7,20,1,7,13,15,12,21,11,6,12,22,10,8,10,22,14,23,9,12,21,2,3,13,0,16,24,24,0,15,18,3,17, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0, 1,23,18,20,18,3,5,23,19,1,16,7,11,20,17,9,15,20,19,17,22,22,10,16,23,21,15,0,24,18,24,2,21,23,20,20,11,7,10,5,4,11,19,0,21,23,10,10,2,7,21,15,16,14,4,3,3,18,23,1,11,7,1,24,16,21,16,17,8,17,12,10,19,1,8,9,2,0,12,11,22,8,0,21,24,23,6,2,22,22,16,10,7,8,5,3,19,10,11,13,17,20,15,3,5,19,18,2,24,20,8,14,14,22,13,19,23,21,24,3,3,22,4,2,10,2]); G:=MatrixGroup<126,F|x,y>; print "Group G is 6.M22 < GL(126,GF(25))";