/*
www-ATLAS of Group Representations.
3.L3(4) represented as 21 x 21 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,21,[
"010000000000000000000",
"100000000000000000000",
"000100000000000000000",
"001000000000000000000",
"000000100000000000000",
"000000010000000000000",
"000010000000000000000",
"000001000000000000000",
"000000000001000000000",
"000000000000010000000",
"000000000000000100000",
"000000001000000000000",
"520153242005110402000",
"000000000100000000000",
"524360101006001000000",
"000000000010000000000",
"253410606001000010000",
"003300000350030506000",
"522200000640050501100",
"253032456021030306010",
"525240302005000000001"]);

y:=CambridgeMatrix(1,F,21,[
"460000000000000000000",
"001000000000000000000",
"000010000000000000000",
"000001000000000000000",
"365030000000000000000",
"000000001000000000000",
"000000000100000000000",
"000000000010000000000",
"000000000000100000000",
"000000000000001000000",
"000000000000000010000",
"000000000000000001000",
"000100000000000000000",
"000000000000000000100",
"000000000000000000010",
"103366400000500100030",
"000000000000000000001",
"641400603001001000000",
"661350044000010030000",
"000000100000000000000",
"000000010000000000000"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is 3.L3(4) < GL(21,GF(7))";