/* www-ATLAS of Group Representations. 2.L3(4):2a represented as 70 x 70 matrices over GF(25). */ F:=GF(25); x:=CambridgeMatrix(3,F,70,\[ 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, 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, 0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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20,22,23,15,9,22,1,19,0,18,0,6,6,13,13,22,18,17,4,16,3,15,8,6,21,18,13,6,5,3,5,24,15,8,10,8,13,4,4,15,0,10,2,22,0,20,19,13,23,3,19,6,24,14,13,12,24,1,16,23,15,18,16,12,19,21,15,5,6,1, 12,23,23,7,17,14,12,1,19,6,11,2,21,10,18,6,10,16,17,16,21,0,12,7,3,2,2,0,11,14,5,5,19,1,13,3,1,0,24,3,3,0,11,16,20,21,0,9,18,8,8,13,8,24,16,12,2,8,5,0,0,16,21,22,22,21,10,1,22,6, 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, 16,15,15,23,1,19,20,22,21,23,6,10,16,9,5,3,9,17,11,23,7,17,19,7,4,9,18,11,10,9,12,8,13,0,18,21,6,3,16,24,24,5,16,5,15,14,6,6,6,18,23,8,5,10,0,21,9,19,19,21,9,4,21,8,21,12,2,23,4,15, 4,7,6,11,1,7,13,22,13,1,13,22,6,19,3,19,14,1,1,18,9,9,0,5,22,17,17,18,9,21,20,14,9,23,4,6,23,9,16,4,3,5,13,9,10,6,9,6,8,21,10,10,23,20,13,11,6,22,9,14,9,15,1,17,20,17,6,6,24,4, 14,5,20,4,13,23,14,14,23,1,18,12,7,21,18,8,11,7,20,6,8,13,16,14,22,10,20,6,11,3,21,15,14,3,12,4,12,15,18,0,16,19,20,0,9,7,19,14,3,3,4,1,19,12,6,7,21,21,7,6,13,10,0,7,12,1,5,13,17,19, 0,10,22,16,2,4,19,11,8,15,13,3,17,20,24,3,11,4,11,12,23,22,12,24,15,2,17,11,11,7,12,11,17,12,4,18,18,0,12,24,13,20,19,9,10,13,12,14,15,0,7,12,17,6,13,22,13,20,18,5,20,24,19,15,12,6,13,22,16,13, 5,12,6,18,3,17,20,8,7,22,18,3,9,5,23,22,5,0,6,15,17,6,7,0,23,3,8,12,13,14,21,20,20,7,0,18,10,24,22,9,17,11,16,19,4,22,14,19,13,22,15,22,14,12,11,15,3,21,5,0,20,9,18,2,20,23,22,17,2,19, 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, 16,5,23,10,9,16,11,18,23,8,22,16,4,2,12,2,5,23,17,11,4,5,7,16,14,24,5,5,13,15,14,8,0,5,3,19,19,19,20,24,2,0,7,9,0,15,12,10,12,17,18,0,15,9,1,15,24,24,24,3,22,16,3,6,2,18,12,7,17,22, 14,22,3,14,14,16,0,23,14,11,4,24,3,5,9,5,7,9,13,16,22,17,7,19,22,20,19,21,11,0,15,5,14,3,4,1,24,21,3,8,17,1,0,23,17,9,21,18,5,8,14,12,10,21,9,24,16,14,4,23,2,22,2,14,16,13,3,9,21,0, 14,2,3,22,11,14,12,9,8,8,7,14,7,14,22,22,14,9,9,24,19,10,10,4,17,24,3,8,5,19,3,8,12,24,2,16,20,21,9,3,20,4,13,24,0,5,13,2,13,12,19,21,0,21,21,7,14,13,22,22,22,9,19,9,9,21,4,5,24,23, 24,18,1,9,2,21,16,19,19,21,20,7,7,8,12,6,8,5,7,1,24,4,23,13,23,16,10,16,12,13,12,23,20,15,15,4,5,13,23,20,0,1,19,15,8,17,20,15,5,5,17,6,8,3,2,7,7,20,3,21,0,2,14,13,22,5,20,21,21,5, 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, 9,17,23,10,1,11,3,10,5,14,4,7,23,17,3,16,3,2,19,3,7,17,15,9,9,2,4,13,11,10,9,17,3,22,4,10,13,14,10,19,16,11,16,20,16,23,21,12,4,7,16,11,12,12,22,23,5,7,1,6,1,12,3,12,11,19,16,10,16,6, 7,16,22,8,24,8,4,11,8,21,17,22,8,9,18,17,4,11,8,5,2,10,15,10,5,14,12,7,24,20,0,20,22,6,21,22,9,17,9,1,5,20,8,10,24,17,18,5,14,14,14,24,8,22,20,7,15,5,5,24,20,4,22,18,1,15,19,14,16,21, 9,0,3,13,18,21,15,16,14,12,5,19,16,14,16,16,0,12,21,14,22,24,0,3,13,8,23,1,4,6,8,11,15,21,11,22,13,0,17,12,9,22,18,19,5,15,24,7,8,20,2,11,7,9,6,16,15,16,16,21,19,18,4,8,11,12,21,13,21,19]); G:=MatrixGroup<70,F|x,y>; print "Group G is 2.L3(4):2a < GL(70,GF(25))";