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