/* www-ATLAS of Group Representations. J1 represented as 77 x 77 matrices over GF(11). */ F:=GF(11); x:=CambridgeMatrix(3,F,77,\[ 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, 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, 0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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1,8,10,4,0,10,2,9,7,3,3,5,4,10,1,6,9,6,9,4,8,1,2,10,0,6,4,3,5,10,9,1,0,0,4,5,0,3,6,9,8,2,0,6,7,7,2,4,2,10,2,7,0,9,0,2,6,4,3,10,7,4,5,4,9,8,7,9,2,3,4,7,9,9,3,7,0, 8,9,9,2,3,0,0,6,4,1,10,10,3,7,5,0,0,3,3,7,2,4,5,2,10,3,7,8,3,0,2,10,7,6,3,8,10,9,7,9,1,2,2,1,5,0,1,8,9,10,3,3,10,8,6,2,7,6,8,3,0,2,10,8,3,4,5,10,8,9,0,6,1,5,9,7,9, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 10,2,9,5,0,9,0,4,0,3,8,3,8,3,9,1,7,5,8,9,9,9,6,7,3,7,1,0,7,10,1,1,9,0,6,9,3,8,5,4,1,6,0,7,2,7,2,2,1,10,1,9,1,3,0,7,10,10,6,7,3,2,1,7,5,0,1,3,3,6,9,2,4,3,2,5,7, 7,10,1,9,3,8,2,8,3,3,3,4,5,0,1,2,7,5,5,8,1,9,4,9,3,4,5,0,0,8,2,3,9,4,3,0,9,10,2,5,1,1,7,4,6,4,3,5,0,3,0,5,6,6,9,0,2,2,6,1,7,5,5,1,6,10,4,2,10,0,3,0,8,3,0,5,10, 8,10,10,10,1,0,0,9,1,4,1,10,2,6,3,8,7,6,3,6,9,7,0,6,3,9,0,8,6,8,0,7,7,9,0,7,0,2,6,5,9,8,9,5,8,1,6,7,8,8,9,2,6,3,8,9,6,4,8,4,4,6,1,6,5,9,5,10,9,0,1,5,3,0,9,1,7, 6,3,4,5,7,7,1,5,6,9,6,4,2,7,3,1,10,6,3,1,6,5,1,6,8,4,9,0,6,6,5,7,0,0,9,8,5,10,8,5,1,4,9,9,0,9,0,7,9,3,6,8,1,3,1,9,1,7,4,4,8,7,6,9,8,5,0,2,3,2,8,2,4,10,1,0,6, 10,0,8,7,4,9,4,5,6,0,0,0,6,0,10,10,2,6,4,1,5,4,0,3,3,9,8,0,6,7,5,3,7,7,6,2,10,1,1,9,9,2,9,6,5,0,1,4,2,0,9,3,2,5,0,6,0,6,4,3,3,9,10,10,9,2,1,8,5,2,5,2,10,9,7,3,2]); G:=MatrixGroup<77,F|x,y>; print "Group G is J1 < GL(77,GF(11))";