/* www-ATLAS of Group Representations. L3(4) represented as 63 x 63 matrices over GF(49). */ F:=GF(49); x:=CambridgeMatrix(3,F,63,\[ 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, 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, 0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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28,13,4,27,36,26,22,34,39,18,19,4,8,20,4,3,38,3,36,45,32,32,18,32,12,17,40,12,39,5,2,47,4,38,48,17,27,10,3,44,15,5,47,28,45,15,33,19,30,34,20,16,9,38,10,14,25,20,47,10,36,44,17, 21,22,25,29,26,24,28,13,4,15,3,40,46,48,5,16,28,19,8,36,41,24,0,45,17,7,18,38,42,37,6,23,42,46,42,20,21,40,27,40,47,19,10,14,28,21,40,18,12,20,12,47,27,45,17,38,17,21,44,16,31,8,13, 24,17,7,17,23,47,37,3,7,47,28,7,48,46,27,25,36,36,14,9,18,38,6,44,26,24,16,6,9,37,9,7,1,14,47,5,1,20,23,7,12,14,24,33,23,44,35,27,16,37,26,34,33,41,39,33,31,44,25,17,8,38,0, 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, 37,25,5,23,38,39,45,36,46,33,35,35,25,35,30,25,48,26,21,30,38,36,26,6,37,22,30,46,47,4,12,19,24,19,27,9,8,43,36,7,46,23,14,14,37,42,22,29,48,3,38,40,46,5,2,4,22,17,47,9,12,4,21, 37,45,27,38,4,8,30,22,4,27,34,36,13,30,47,6,7,36,35,30,6,41,26,48,7,16,14,20,34,44,19,31,13,46,10,36,27,46,15,7,5,38,20,16,0,9,17,10,14,7,43,47,6,18,16,46,7,19,44,47,11,26,46, 0,25,33,36,3,11,4,41,47,43,45,27,33,12,10,12,38,18,41,17,17,28,37,7,14,46,38,41,11,4,17,2,24,8,6,26,21,18,43,36,0,9,33,33,45,14,28,41,46,35,5,40,42,18,19,15,8,22,24,30,15,35,9, 22,7,48,26,26,26,31,32,28,47,17,7,24,21,30,16,42,36,39,23,44,10,0,2,9,30,19,15,33,26,39,26,5,35,27,10,5,43,41,27,38,24,40,33,8,1,27,30,45,22,39,44,33,10,29,3,38,25,36,21,48,33,27, 43,40,36,26,28,37,7,11,45,31,17,44,19,12,14,10,14,30,32,20,32,11,42,22,5,43,30,22,10,38,30,36,24,42,7,34,48,39,29,12,37,7,13,25,30,44,18,19,15,44,2,30,18,12,6,34,33,15,30,33,39,19,34, 3,22,35,34,40,18,29,44,45,39,23,11,38,35,32,41,9,4,3,17,3,9,2,28,35,18,34,16,1,43,42,17,13,0,25,44,5,40,47,2,0,24,8,34,48,11,28,6,44,29,19,23,2,32,11,17,44,14,4,4,46,42,19, 7,23,27,14,47,32,2,17,42,43,35,22,31,15,20,36,41,31,0,9,5,12,44,18,38,27,25,30,29,38,7,40,6,7,19,31,23,7,29,19,26,37,24,3,33,28,38,31,39,32,24,6,34,11,31,34,8,17,11,35,27,23,15, 44,23,26,5,6,18,32,3,6,19,5,34,16,24,29,2,27,12,24,27,1,20,11,28,48,13,7,8,32,31,26,39,27,47,5,6,7,10,43,28,45,7,22,44,16,4,26,28,25,43,2,10,38,31,13,32,22,22,7,27,11,1,12, 13,23,34,39,19,4,31,14,37,42,1,18,4,41,10,35,4,29,26,41,36,14,44,34,35,12,44,34,14,34,45,39,14,39,11,40,1,0,20,44,47,32,0,6,27,17,30,8,12,12,1,30,11,23,45,27,31,39,14,17,0,45,14, 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, 8,1,18,36,24,15,36,44,24,32,18,9,27,32,39,40,41,11,29,43,1,17,31,36,1,48,24,20,5,40,14,18,11,33,18,36,10,17,41,26,41,43,3,33,17,47,35,43,33,4,18,14,14,25,44,37,34,14,0,2,31,8,11, 48,41,42,3,10,5,14,13,0,5,29,48,9,21,29,44,41,23,42,1,33,5,40,15,9,29,12,44,16,30,30,21,23,38,38,5,36,44,21,16,15,44,18,24,46,17,26,28,36,48,33,1,44,42,35,31,33,39,9,24,1,35,44, 41,28,2,0,3,29,17,3,28,46,33,43,5,34,29,17,35,34,2,15,2,23,46,6,45,46,23,30,28,41,6,18,5,28,39,30,37,48,34,1,24,34,10,29,39,46,13,48,17,10,21,1,9,14,19,26,42,46,48,40,47,30,47]); G:=MatrixGroup<63,F|x,y>; print "Group G is L3(4) < GL(63,GF(49))";