/*
www-ATLAS of Group Representations.
L5(2):2 represented as 30 x 30 matrices over GF(9).
*/

F<w>:=GF(9);

x:=CambridgeMatrix(1,F,30,[
"200000000000000000000000000000",
"001000000000000000000000000000",
"010000000000000000000000000000",
"000010000000000000000000000000",
"000100000000000000000000000000",
"000000010000000000000000000000",
"000000000100000000000000000000",
"000001000000000000000000000000",
"000000000000100000000000000000",
"000000100000000000000000000000",
"000000000000000100000000000000",
"000000000000000001000000000000",
"000000001000000000000000000000",
"000000000000000000001000000000",
"000000000000000000000010000000",
"000000000010000000000000000000",
"000000000000000000000001000000",
"000000000001000000000000000000",
"000000000000000000000000010000",
"000000000000000000000000001000",
"000000000000010000000000000000",
"512637551714242208108110020000",
"000000000000001000000000000000",
"000000000000000010000000000000",
"000000000000000000000000000010",
"000000000000000000100000000000",
"000000000000000000010000000000",
"000000000000000000000000000001",
"000000000000000000000000100000",
"000000000000000000000000000100"]);

y:=CambridgeMatrix(1,F,30,[
"010000000000000000000000000000",
"200000000000000000000000000000",
"000100000000000000000000000000",
"000001000000000000000000000000",
"000000100000000000000000000000",
"000000001000000000000000000000",
"000000000010000000000000000000",
"000000000001000000000000000000",
"000000000000010000000000000000",
"000000000000001000000000000000",
"000000000000000010000000000000",
"000000000000000000100000000000",
"000000000000000000010000000000",
"000000000000000000000100000000",
"200500007102000000000000000000",
"001207000200007000000000000000",
"082001250070000070000010000000",
"000000000000000000000000100000",
"280603008101014200800802000000",
"111627071754132240600120000000",
"000000000000000000000000000100",
"340535438182124288408022020000",
"800120702077000020000000000000",
"027507010500003000000000000000",
"680703008301014401800800000000",
"450111071208001700010088800800",
"541170570280123488438000610110",
"308676272814441411202084080000",
"754374032234583555211034841800",
"010648281418780877201088143061"]);

G<x,y>:=MatrixGroup<30,F|x,y>;
print "Group G is L5(2):2 < GL(30,GF(9))";