/* www-ATLAS of Group Representations. 3.L3(4):2a represented as 63 x 63 matrices over GF(25). */ F:=GF(25); 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, 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19,20,3,19,19,24,14,19,13,4,18,16,3,24,17,8,19,0,15,22,18,12,14,13,7,19,4,15,23,10,10,24,20,22,22,13,11,5,20,16,10,19,23,6,24,2,13,9,12,7,5,7,10,0,21,21,16,1,9,3,3,12,10, 19,17,22,19,10,0,19,8,9,5,17,1,0,16,3,6,12,15,19,1,17,8,7,5,19,1,8,24,22,5,21,3,7,23,9,9,23,17,0,0,23,22,16,17,3,13,9,19,12,3,2,21,3,15,24,2,8,12,13,19,22,20,2, 9,20,10,10,0,0,2,8,5,7,8,2,7,21,6,8,14,23,21,22,21,19,18,7,16,21,7,13,7,22,22,21,10,12,22,17,3,3,4,10,1,13,0,24,24,6,10,2,21,10,24,14,8,7,13,11,11,7,16,13,19,17,16, 1,20,23,11,24,1,22,24,23,3,21,12,16,8,22,16,4,2,23,12,16,1,12,7,0,8,7,15,21,9,11,12,19,15,7,19,5,5,10,4,6,4,12,20,9,12,15,8,22,9,5,11,24,7,15,9,6,5,0,12,11,6,22, 5,8,13,24,15,14,10,3,0,0,16,4,15,14,19,19,4,2,19,10,17,23,19,0,24,1,1,19,19,8,23,21,4,24,10,18,3,8,4,7,14,24,0,9,0,24,0,14,18,17,9,24,12,22,21,14,16,17,16,12,0,0,20, 8,8,20,9,21,8,8,1,4,12,12,17,12,13,1,10,0,21,2,2,19,24,20,24,20,17,17,19,19,20,4,2,22,6,7,20,3,15,9,5,19,21,2,1,16,9,15,1,18,21,9,5,18,12,14,17,0,3,20,23,15,12,20, 8,24,8,4,20,6,15,15,19,17,20,10,12,2,12,8,15,17,0,8,1,4,24,14,11,13,20,24,11,21,10,23,12,5,10,2,13,8,15,14,16,1,18,5,7,12,12,13,15,9,15,20,5,16,19,3,15,19,15,11,15,10,18, 1,19,12,19,8,17,5,8,23,5,8,21,23,20,18,15,21,1,6,16,20,6,9,11,17,17,1,23,13,21,17,16,11,1,24,20,22,15,20,24,10,15,10,13,19,6,13,8,17,3,18,18,15,19,19,4,16,18,17,17,5,21,6, 13,1,7,8,19,16,1,16,6,16,19,21,15,4,15,6,2,17,0,4,23,22,22,24,24,8,10,12,3,23,24,14,15,7,19,22,5,17,17,17,18,13,23,1,18,13,13,17,2,7,5,23,2,11,23,3,6,1,12,22,11,15,22, 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, 24,4,0,19,19,12,15,16,24,11,16,5,6,16,0,9,21,16,17,6,8,20,8,23,12,21,24,9,0,8,9,2,14,7,23,7,17,9,23,2,14,5,16,5,13,11,14,0,21,15,15,9,2,23,3,2,16,7,22,24,11,5,24, 5,3,16,17,1,1,8,10,14,14,5,3,21,9,9,20,1,19,24,18,1,14,8,18,7,19,22,11,18,19,1,1,6,5,3,12,0,14,4,23,4,22,11,8,19,24,21,24,19,0,15,16,15,9,2,14,1,23,20,20,11,4,14, 9,22,20,20,3,11,18,22,3,16,5,2,13,12,11,11,24,13,1,16,7,13,23,2,2,8,12,12,6,12,22,18,8,22,10,1,23,20,20,7,12,2,5,13,23,24,23,12,18,21,23,9,4,24,19,7,22,3,19,12,14,17,17, 14,16,5,2,7,18,9,9,11,20,8,22,20,20,3,22,7,12,18,10,21,23,21,11,24,9,2,14,17,8,11,16,11,20,18,16,16,1,4,5,0,13,20,12,7,0,24,13,18,8,9,19,19,4,12,4,22,18,13,8,24,23,15, 16,21,20,15,4,7,9,19,20,22,23,12,23,1,2,14,19,14,17,9,10,14,13,17,22,3,9,10,24,7,19,10,3,20,15,23,21,20,10,4,0,23,5,21,11,8,8,16,19,4,18,8,10,9,21,0,17,20,3,16,8,12,8, 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, 9,19,2,22,8,24,3,11,18,24,4,12,17,7,17,20,17,8,19,9,1,10,5,17,21,12,0,2,17,19,6,13,10,3,17,4,19,9,7,9,20,16,20,16,3,0,21,12,7,14,14,18,16,15,3,2,8,15,13,17,0,7,16]); G:=MatrixGroup<63,F|x,y>; print "Group G is 3.L3(4):2a < GL(63,GF(25))";