/*
www-ATLAS of Group Representations.
L5(2) represented as 30 x 30 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,30,[
"010000000000000000000000000000",
"100000000000000000000000000000",
"000010000000000000000000000000",
"000000100000000000000000000000",
"001000000000000000000000000000",
"000000000100000000000000000000",
"000100000000000000000000000000",
"000000000000100000000000000000",
"000000000000010000000000000000",
"000001000000000000000000000000",
"000000000000000100000000000000",
"000000000000000001000000000000",
"000000010000000000000000000000",
"000000001000000000000000000000",
"524136652131251406000000000000",
"000000000010000000000000000000",
"523445343200340010000000000000",
"000000000001000000000000000000",
"256014016340610300100000000000",
"615020016011610606010000000000",
"341360410061600106001000000000",
"343442325520520500000100000000",
"346610152045250302000010000000",
"616416362134150403000001000000",
"006415310250600200000000100000",
"613545245200320000000000010000",
"616411361660160100000000001000",
"004635154203230004000000000100",
"614033036423410504000000000010",
"163143646450310200000000000001"]);

y:=CambridgeMatrix(1,F,30,[
"001000000000000000000000000000",
"000100000000000000000000000000",
"000001000000000000000000000000",
"000000010000000000000000000000",
"000000001000000000000000000000",
"000000000010000000000000000000",
"000000000001000000000000000000",
"666056016010000000000000000000",
"066066006000000000000000000000",
"000000000000001000000000000000",
"000000000000000010000000000000",
"000000000000000000100000000000",
"000000000000000000010000000000",
"000000000000000000001000000000",
"000000000000000000000100000000",
"000000000000000000000010000000",
"100000000000000000000000000000",
"000000000000000000000001000000",
"000000000000000000000000100000",
"000000000000000000000000010000",
"011016012160560600000600010000",
"625455233530164410030000600000",
"534006013140010150300200000000",
"000000000000000000000000001000",
"000000000000000000000000000100",
"355651060200524010030000600000",
"000000000000000000000000000010",
"000000100000000000000000000000",
"000000000000000000000000000001",
"000000000000000001000000000000"]);

G<x,y>:=MatrixGroup<30,F|x,y>;
print "Group G is L5(2) < GL(30,GF(7))";