/* www-ATLAS of Group Representations. 2.A14 represented as 32 x 32 matrices over GF(49). */ F:=GF(49); x:=CambridgeMatrix(3,F,32,\[ 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, 6,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 0,0,6,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,6,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 0,0,0,0,0,6,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,6,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,6,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1, 0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0, 44,24,47,18,12,12,0,14,0,44,31,46,36,0,23,23,0,31,2,39,7,0,31,30,30,0,6,0,0,0,18,44, 43,8,45,13,45,38,35,16,35,22,28,23,23,0,0,9,23,28,24,6,47,0,14,24,6,0,0,0,6,47,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0, 17,24,7,13,7,1,12,2,12,22,26,16,43,26,16,28,16,29,24,6,47,16,0,0,0,24,6,47,6,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,6,0,0,0,0,0, 6,35,25,23,44,47,35,8,0,27,6,19,22,6,15,30,0,7,17,33,31,0,0,0,34,17,16,31,0,0,0,6, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,6,0,0,0, 19,6,17,0,36,32,12,41,0,24,4,4,4,0,29,32,0,15,44,19,18,0,0,41,37,0,17,0,0,31,28,46, 40,0,6,17,4,45,32,10,32,31,12,29,29,0,0,11,29,27,2,17,10,0,11,0,0,0,0,0,17,15,24,6, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,6]); y:=CambridgeMatrix(3,F,32,\[ 31,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0, 41,34,19,5,45,21,33,7,33,27,32,1,22,32,1,0,1,0,0,0,48,1,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0, 32,19,24,11,2,5,46,30,43,1,43,31,36,8,40,4,1,45,0,1,9,40,9,17,2,25,0,27,46,0,19,10, 18,35,31,28,15,43,15,26,0,23,2,29,27,23,0,16,0,6,29,37,19,0,6,19,35,6,0,0,0,0,6,24, 16,33,29,46,1,48,5,5,5,17,15,48,0,15,48,22,48,0,0,0,0,48,0,0,0,0,0,48,0,0,0,0, 15,40,10,46,43,9,7,12,7,36,0,0,0,24,6,0,0,22,0,0,0,6,0,0,0,0,0,0,0,48,0,0, 31,11,48,16,12,24,0,25,23,25,31,0,0,44,0,0,6,0,22,0,0,6,0,0,0,0,0,0,0,0,48,0, 40,23,27,10,39,44,27,30,27,45,33,13,5,0,0,34,13,14,37,30,6,0,34,0,0,0,0,6,30,6,0,0, 20,35,32,15,2,12,16,25,0,21,45,13,7,48,13,34,0,46,14,30,6,0,0,34,0,4,30,6,0,0,6,0, 12,4,38,21,22,6,27,33,0,21,15,12,45,12,43,34,30,37,48,2,48,43,41,13,33,22,0,45,5,0,39,5, 36,9,48,12,28,40,23,22,0,29,40,25,4,29,0,44,0,17,25,41,44,0,0,46,7,17,0,0,0,6,38,5, 35,38,38,47,6,31,2,14,5,4,6,33,26,24,32,35,22,32,30,7,21,32,47,27,44,10,0,10,10,45,28,29, 47,15,44,38,40,22,12,21,4,9,40,4,36,35,12,37,37,0,10,17,6,15,7,27,5,9,40,28,37,9,37,46, 6,46,36,18,21,44,8,9,45,22,4,48,3,40,48,10,9,11,48,37,12,16,10,11,13,0,4,29,26,0,0,39]); G:=MatrixGroup<32,F|x,y>; print "Group G is 2.A14 < GL(32,GF(49))";