/*
www-ATLAS of Group Representations.
2.L3(4):2a represented as 36 x 36 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,36,[
"040000000000000000000000000000000000",
"400000000000000000000000000000000000",
"000400000000000000000000000000000000",
"004000000000000000000000000000000000",
"000000400000000000000000000000000000",
"000000040000000000000000000000000000",
"000040000000000000000000000000000000",
"000004000000000000000000000000000000",
"000000000004000000000000000000000000",
"000000000000040000000000000000000000",
"000000000000000400000000000000000000",
"000000004000000000000000000000000000",
"000000000000000000400000000000000000",
"000000000400000000000000000000000000",
"000000000000000000004000000000000000",
"000000000040000000000000000000000000",
"000000000000000000000004000000000000",
"000000000000000000000000040000000000",
"000000000000400000000000000000000000",
"000000000000000000000000000040000000",
"000000000000004000000000000000000000",
"040100400000000000400010000000000000",
"401040000000400000000100000000000000",
"000000000000000040000000000000000000",
"000000000000000000000000000000000400",
"000000000000000004000000000000000000",
"000000000000000000000000000000000004",
"124042330021321441304231004330330043",
"000000000000000000040000000000000000",
"221102131334321331044332032010203132",
"232224110144024121131213320141323342",
"312113132411232223231001141201111410",
"431101313233220332001113322412241220",
"000000000000000000000000400000000000",
"302204440323412430302041222211132121",
"000000000000000000000000004000000000"]);

y:=CambridgeMatrix(1,F,36,[
"004000000000000000000000000000000000",
"011000000000000000000000000000000000",
"000040000000000000000000000000000000",
"000004000000000000000000000000000000",
"401040000000000000000000000000000000",
"000000004000000000000000000000000000",
"000000000400000000000000000000000000",
"000000000040000000000000000000000000",
"000000000000400000000000000000000000",
"000000000000004000000000000000000000",
"000000000000000040000000000000000000",
"000000000000000004000000000000000000",
"000400000000000000000000000000000000",
"000000000000000000040000000000000000",
"000000000000000000000400000000000000",
"000000000000000000000040000000000000",
"000000000000000000000000400000000000",
"000000000000000000000000004000000000",
"000000000000000000000000000400000000",
"000000000000000000000000000004000000",
"000000000000000000000000000000400000",
"000000400000000000000000000000000000",
"000000000000000000000000000000040000",
"000000000000000000000000000000004000",
"000000040000000000000000000000000000",
"000000000000000000000000000000000040",
"322322021000410321034412123442033013",
"440040300421041423304410120242324314",
"234212344103213200244044144203241320",
"232140003102100113201130443040031103",
"213101411021232341414011332133103332",
"200423431443232441414210443313210202",
"101014022331431331244331224232242444",
"440310000032243123301410024031313030",
"033434132113011211330023023132023340",
"204313422242213444010004042230404122"]);

G<x,y>:=MatrixGroup<36,F|x,y>;
print "Group G is 2.L3(4):2a < GL(36,GF(5))";