/*
www-ATLAS of Group Representations.
L3(7).2 represented as 27 x 27 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,27,[
"600000000000000000000000000",
"001000000000000000000000000",
"010000000000000000000000000",
"000010000000000000000000000",
"000100000000000000000000000",
"000000010000000000000000000",
"000000000100000000000000000",
"000001000000000000000000000",
"000000000000100000000000000",
"000000100000000000000000000",
"000000000000001000000000000",
"000000000000000010000000000",
"000000001000000000000000000",
"000000000000000000010000000",
"000000000010000000000000000",
"000000000000000000000010000",
"000000000001000000000000000",
"000000000000000000000000100",
"000000000000000000000000001",
"000000000000010000000000000",
"022665056055635350436030004",
"353154245052122535053144250",
"000000000000000100000000000",
"506462125043356202335151463",
"000000000000000001000000000",
"305635351152442634503254145",
"000000000000000000100000000"]);

y:=CambridgeMatrix(1,F,27,[
"010000000000000000000000000",
"600000000000000000000000000",
"000100000000000000000000000",
"000001000000000000000000000",
"000000100000000000000000000",
"000000001000000000000000000",
"000000000010000000000000000",
"000000000001000000000000000",
"001000000000000000000000000",
"000000000000010000000000000",
"000000000000000100000000000",
"000000000000000001000000000",
"000000000000000000100000000",
"000000000000000000001000000",
"000000000000000000000100000",
"000010000000000000000000000",
"000000000000000000000001000",
"000000000000000000000000010",
"610265646225114110606421322",
"223451051543120255164005400",
"511366016600003564600326612",
"106266126164415310300421312",
"501046440306410420105052106",
"011131450315656060602605300",
"310332344616656356106635253",
"000000010000000000000000000",
"265315560506004463102456204"]);

G<x,y>:=MatrixGroup<27,F|x,y>;
print "Group G is L3(7).2 < GL(27,GF(7))";