/* www-ATLAS of Group Representations. J2 represented as 90 x 90 matrices over GF(5). */ F:=GF(5); x:=CambridgeMatrix(1,F,90,[ "010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000", 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"432014201044114410142241330124320313441411124012434431043121413044011040301020102340200001"]); y:=CambridgeMatrix(1,F,90,[ "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "444000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000", 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"030440134220032124311324133204120302401121110313023022222022233104302014401012322344300223"]); G:=MatrixGroup<90,F|x,y>; print "Group G is J2 < GL(90,GF(5))";