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2,48,29,4,25,17,41,34,2,17,16,32,5,4,48,8,23,20,26,19,14,9,14,39,34,38,5,33,24,7,1,23,3,13,17,43,3,2,47,2,18,44,24,0,36,46,12,41,33,43,14,20,19,45,20,35,37,22,14,48,13,14,39,43,23,40,28,5,41,25,26,18,40,22,14,36,19,32,45,0,5,45,31,23,13,6,40,28,35,41,31,24,11,36,38,15,38,42,29,30,19,23,0,45,0,23,31,41,23,6,18,40,26,38,6,38,25,47,16,37, 2,46,35,32,25,30,9,44,11,43,47,11,20,39,27,17,33,22,31,14,25,14,45,14,48,12,45,0,12,5,20,12,41,30,32,21,34,28,13,35,9,4,27,39,41,8,21,2,1,38,0,44,42,29,33,3,2,34,32,0,8,40,22,20,36,47,16,13,48,1,15,29,0,39,16,24,38,10,44,42,48,17,24,42,41,12,13,36,22,28,45,47,22,30,29,22,37,34,41,24,10,43,40,20,23,28,1,33,30,23,9,31,4,14,47,12,37,8,3,2, 10,14,36,48,12,6,30,21,36,14,43,36,24,13,40,24,11,2,44,1,6,47,2,33,36,34,32,8,48,39,23,44,19,5,13,48,48,12,43,27,40,40,7,24,27,4,23,17,23,7,21,24,23,45,45,30,11,28,3,42,0,11,39,6,4,24,23,20,37,27,32,38,3,42,40,23,11,9,34,6,26,31,42,26,4,41,48,20,36,38,47,29,3,26,5,2,30,11,15,28,45,3,17,33,34,12,10,6,24,7,27,23,14,40,44,18,13,3,40,5, 11,44,17,29,40,34,33,32,18,4,48,29,20,7,23,34,41,20,0,39,45,34,15,7,15,47,21,27,33,14,39,17,16,29,48,4,1,4,6,16,19,9,44,25,11,15,42,48,7,36,3,44,31,42,3,9,41,12,24,23,40,34,25,44,45,0,31,27,17,34,26,48,42,7,19,7,11,14,0,33,47,2,0,42,28,37,28,31,41,21,3,36,3,17,21,41,44,40,2,30,40,38,31,16,4,21,22,5,20,12,45,33,21,22,42,24,11,34,29,17, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 3,28,29,0,12,14,0,44,33,4,37,1,48,38,10,10,1,13,33,20,40,4,34,5,46,7,18,24,29,43,14,40,6,8,24,47,20,17,45,19,10,13,21,20,40,30,37,27,15,34,18,31,15,21,48,5,34,4,12,31,8,23,40,42,9,15,34,28,27,17,25,30,48,35,46,37,7,35,18,41,12,44,25,32,36,36,0,30,37,1,23,2,27,21,23,22,38,43,14,41,33,31,30,32,1,36,20,2,8,16,2,44,42,3,38,1,25,39,40,47, 13,41,16,48,44,30,3,45,45,4,5,16,3,11,19,40,18,21,15,21,15,40,12,6,42,44,48,30,41,15,39,14,22,28,5,32,41,43,33,5,14,23,26,45,34,2,9,1,35,19,18,40,9,9,11,18,25,40,40,13,17,24,18,15,48,2,13,36,40,3,9,40,22,34,32,44,4,34,27,21,7,7,36,4,6,23,33,36,43,7,37,11,4,39,14,45,21,39,16,17,43,8,29,14,35,8,0,24,17,30,26,34,10,5,13,12,13,27,12,11, 48,2,40,34,26,21,10,14,47,36,27,15,33,13,20,22,3,6,24,29,18,43,48,17,2,37,47,8,28,30,48,39,27,41,36,37,35,32,35,9,7,22,46,12,6,24,18,20,0,41,41,7,43,46,11,45,15,40,12,40,38,37,22,14,2,21,23,1,2,11,32,24,4,14,35,3,26,29,14,34,9,44,33,29,40,20,31,10,2,46,48,38,32,7,16,17,46,21,19,41,17,32,29,47,40,38,40,21,27,12,24,21,21,26,14,15,7,3,39,37, 15,40,16,36,15,31,35,13,14,43,36,40,6,28,35,18,6,10,38,17,29,36,5,25,32,46,6,6,17,15,25,38,34,8,20,2,11,24,5,46,28,36,46,16,23,6,33,29,1,35,29,41,3,37,10,3,32,36,40,31,24,40,7,0,47,21,26,45,30,12,14,5,42,36,5,9,28,4,29,48,3,25,16,28,13,42,26,15,29,41,45,4,35,30,47,23,27,23,30,15,14,32,11,27,12,7,10,5,17,20,0,32,42,26,46,1,2,42,39,28, 7,1,24,2,12,10,38,22,16,36,10,5,0,23,11,16,0,13,16,0,36,41,4,15,14,46,40,12,11,26,14,10,17,17,39,29,34,43,27,42,7,5,44,46,4,3,45,31,15,47,27,38,41,24,13,46,37,47,1,12,42,47,39,12,32,0,5,9,34,48,2,29,8,9,11,14,25,39,8,15,47,45,0,26,11,47,35,12,28,10,24,45,3,9,22,26,36,28,46,11,24,23,37,37,34,8,18,0,38,34,33,4,16,40,46,19,9,5,43,25, 12,22,13,21,7,5,45,44,35,10,24,44,0,46,29,16,43,29,11,36,31,40,12,7,29,5,47,46,5,10,3,8,13,34,25,34,7,35,29,12,37,32,31,15,48,5,33,34,17,28,2,38,13,46,43,2,23,28,30,33,31,7,5,46,5,4,41,9,34,15,21,6,7,25,30,26,29,15,17,8,36,11,47,37,14,38,19,20,29,46,4,48,31,26,14,34,24,31,28,8,9,6,20,11,9,35,15,7,42,27,30,4,1,44,23,36,22,26,34,16, 19,42,13,2,6,17,17,25,47,2,46,12,32,20,12,8,43,2,41,28,29,28,40,44,42,24,15,12,32,16,26,19,13,41,7,27,3,45,38,40,39,37,16,4,46,44,12,29,21,5,34,38,14,38,9,6,12,32,23,13,2,43,6,29,28,18,19,5,25,5,3,7,28,48,20,44,26,26,31,47,42,45,18,14,13,44,46,21,18,2,23,9,35,29,21,14,36,45,21,19,47,37,43,33,2,4,20,21,21,5,12,2,35,35,41,21,43,24,23,4, 21,8,3,40,30,8,0,28,6,38,44,44,44,15,9,0,21,2,7,21,3,47,29,15,28,24,18,22,14,15,11,23,10,27,38,45,46,45,18,18,14,6,20,11,9,23,44,48,8,37,23,17,40,48,39,40,16,20,45,48,29,29,41,33,45,3,19,1,48,5,41,41,48,13,24,46,21,25,11,28,45,9,7,36,38,31,40,14,45,41,42,46,32,27,3,17,12,12,20,39,33,42,38,24,5,12,15,33,25,9,35,39,34,4,22,0,40,36,45,41, 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, 26,20,31,47,33,25,1,12,28,30,43,34,5,21,24,10,36,31,9,17,40,23,13,9,16,41,35,42,15,2,33,12,2,26,24,5,23,44,0,29,13,27,15,29,10,14,23,34,22,28,47,37,36,9,45,5,27,16,33,19,21,44,46,32,8,31,12,39,10,18,26,5,13,12,20,7,28,23,4,4,31,12,25,19,48,48,47,15,29,30,17,33,1,38,8,12,28,22,33,47,18,23,19,46,13,26,25,43,39,2,18,22,0,12,17,45,27,19,45,47, 28,2,12,15,10,29,48,4,9,5,39,12,34,13,1,20,38,5,31,4,10,26,20,9,45,16,5,6,28,44,33,24,21,19,17,23,47,45,15,4,31,14,6,7,25,15,32,21,41,35,9,1,5,46,37,37,28,1,35,47,38,19,3,29,24,14,45,5,8,13,47,40,40,5,29,19,42,37,47,6,12,15,3,41,0,20,9,13,28,31,6,21,1,11,13,38,34,47,29,26,45,33,11,6,10,1,20,10,22,48,9,41,44,19,29,0,3,18,15,2, 0,31,46,7,4,27,20,46,29,13,11,17,14,27,22,32,27,43,35,22,45,14,29,47,22,26,14,43,26,44,24,24,35,46,43,46,22,41,45,39,20,31,24,8,9,4,34,33,5,8,29,32,23,6,5,24,35,16,14,46,40,25,22,31,22,7,37,4,36,20,0,20,28,27,47,11,16,35,3,33,5,3,29,33,36,46,29,33,33,19,24,25,14,40,45,1,4,41,5,28,9,24,22,4,34,0,20,47,46,11,46,21,5,47,6,5,25,19,34,40]); G:=MatrixGroup<120,F|x,y>; print "Group G is 12.M22 < GL(120,GF(49))";