/*
www-ATLAS of Group Representations.
3.A7 represented as 21 x 21 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,21,[
"010000000000000000000",
"000100000000000000000",
"000001000000000000000",
"100000000000000000000",
"000000001000000000000",
"000000000010000000000",
"000000000000100000000",
"000000000000001000000",
"000000000000000010000",
"000000000000000000100",
"001000000000000000000",
"161560060452135430414",
"054023402044413141251",
"362321131641236653563",
"266442066451310066411",
"000436212512232604206",
"000010000000000000000",
"516036004126611531366",
"254064144455534306121",
"610321132331145342046",
"405461313055543514100"]);

y:=CambridgeMatrix(1,F,21,[
"001000000000000000000",
"000010000000000000000",
"000000100000000000000",
"000000010000000000000",
"000000000100000000000",
"000000000001000000000",
"000000000000010000000",
"000000000000000100000",
"000000000000000001000",
"000000000000000000010",
"000000000000000000001",
"056066600006000000000",
"062112431600062562410",
"646004600300020000040",
"261042232625656141554",
"514002320623066260231",
"564424232240545454636",
"412200421131613630166",
"614265341425441665136",
"656065600206010000060",
"131225635035011360211"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is 3.A7 < GL(21,GF(7))";