/* www-ATLAS of Group Representations. J2:2 represented as 90 x 90 matrices over GF(5). */ F:=GF(5); x:=CambridgeMatrix(1,F,90,[ "010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000", 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"000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000"]); y:=CambridgeMatrix(1,F,90,[ "001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "044000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000", "121040010000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000", 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"344220330143313432113110130222042203301112330042222344323131231020010033032442322443301011"]); G:=MatrixGroup<90,F|x,y>; print "Group G is J2:2 < GL(90,GF(5))";