/*
www-ATLAS of Group Representations.
6.L3(4):2a represented as 36 x 36 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,36,[
"010000000000000000000000000000000000",
"100000000000000000000000000000000000",
"000100000000000000000000000000000000",
"001000000000000000000000000000000000",
"000000100000000000000000000000000000",
"000000010000000000000000000000000000",
"000010000000000000000000000000000000",
"000001000000000000000000000000000000",
"000000000001000000000000000000000000",
"000000000000010000000000000000000000",
"000000000000000100000000000000000000",
"000000001000000000000000000000000000",
"000000000000000000100000000000000000",
"000000000100000000000000000000000000",
"000000000000000000001000000000000000",
"000000000010000000000000000000000000",
"000000000000000000000001000000000000",
"000000000000000000000000010000000000",
"000000000000100000000000000000000000",
"000000000000000000000000000010000000",
"000000000000001000000000000000000000",
"010600100000000000100030000000000000",
"205020000000200000000500000000000000",
"000000000000000010000000000000000000",
"000000000000000000000000000000000100",
"000000000000000001000000000000000000",
"000000000000000000000000000000000001",
"241125441525546020165562262625252004",
"000000000000000000010000000000000000",
"526010132013165655525021146506400451",
"354335263230405602202124102241116626",
"121123404152561664033425301450526605",
"312402501340515544202112404064201331",
"000000000000000000000000100000000000",
"142163032235004630106241553604543050",
"000000000000000000000000001000000000"]);

y:=CambridgeMatrix(1,F,36,[
"001000000000000000000000000000000000",
"066000000000000000000000000000000000",
"000010000000000000000000000000000000",
"000001000000000000000000000000000000",
"106010000000000000000000000000000000",
"000000001000000000000000000000000000",
"000000000100000000000000000000000000",
"000000000010000000000000000000000000",
"000000000000100000000000000000000000",
"000000000000001000000000000000000000",
"000000000000000010000000000000000000",
"000000000000000001000000000000000000",
"000100000000000000000000000000000000",
"000000000000000000010000000000000000",
"000000000000000000000100000000000000",
"000000000000000000000010000000000000",
"000000000000000000000000100000000000",
"000000000000000000000000001000000000",
"000000000000000000000000000100000000",
"000000000000000000000000000001000000",
"000000000000000000000000000000100000",
"000000100000000000000000000000000000",
"000000000000000000000000000000010000",
"000000000000000000000000000000001000",
"000000010000000000000000000000000000",
"000000000000000000000000000000000010",
"145655063251024523155155553004606161",
"344026340344050250054442616052001111",
"300334635024621350662021363021316034",
"612340455324460363241446613636432034",
"450032165601030004124450142305656131",
"201313610246634621651466121332440140",
"012506005156032354335046656145512426",
"210652224541620654363665545310026145",
"364136242622046246422012104143566234",
"165525502424361042133336404520505341"]);

G<x,y>:=MatrixGroup<36,F|x,y>;
print "Group G is 6.L3(4):2a < GL(36,GF(7))";