/*
www-ATLAS of Group Representations.
3.M22 represented as 45 x 45 matrices over GF(4).
*/

F<w>:=GF(4);

x:=CambridgeMatrix(1,F,45,[
"010000000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000",
"001000000000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000",
"000100000000000000000000000000000000000000000",
"000000000001000000000000000000000000000000000",
"000000000000100000000000000000000000000000000",
"000001000000000000000000000000000000000000000",
"000000000000001000000000000000000000000000000",
"000000010000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000",
"000000000000000000100000000000000000000000000",
"000000000010000000000000000000000000000000000",
"000000000000000000000100000000000000000000000",
"000000000000000000000001000000000000000000000",
"000000000000000000000000010000000000000000000",
"000000000000010000000000000000000000000000000",
"000000000000000000000000000010000000000000000",
"000000000000000000000000000000100000000000000",
"000000000000000100000000000000000000000000000",
"000000000000000000000000000000000100000000000",
"000000000000000010000000000000000000000000000",
"000000000000000000000000000000000001000000000",
"000000000000000001000000000000000000000000000",
"000000000000000000000000000000000000001000000",
"000000000000000000000000000000000000000010000",
"000000000000000000010000000000000000000000000",
"000000000000000000000000000000000000000000010",
"000000000000000000001000000000000000000000000",
"031303213312332002131110301122302101231133131",
"202021021332120022023030303130003320311313130",
"000000000000000000000010000000000000000000000",
"011030110321322233200031223210012123103022332",
"000000000000000000000000100000000000000000000",
"202102002200111210230020122001111001121103132",
"103013220303001200322020131002123202301231202",
"000000000000000000000000001000000000000000000",
"111022320010010033221321202102333220230101223",
"000000000000000000000000000100000000000000000",
"233200303101110222120110310211211012133310203",
"312223021321312103123113003310221002221211300",
"000000000000000000000000000001000000000000000",
"323311301302332332201122101201000323221333103"]);

y:=CambridgeMatrix(1,F,45,[
"001000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000",
"100110011000000000000000000000000000000000000",
"000000000010000000000000000000000000000000000",
"111011010000000000000000000000000000000000000",
"010011001000000000000000000000000000000000000",
"000000000000010000000000000000000000000000000",
"000000000000000100000000000000000000000000000",
"000000000000000010000000000000000000000000000",
"000000000000000001000000000000000000000000000",
"000000000000000000010000000000000000000000000",
"000000000000000000001000000000000000000000000",
"000000000000000000000010000000000000000000000",
"000000000000000000000000100000000000000000000",
"000000000000000000000000001000000000000000000",
"000000000000000000000000000100000000000000000",
"000000000000000000000000000001000000000000000",
"000000000000000000000000000000010000000000000",
"000000000000000000000000000000001000000000000",
"000000100000000000000000000000000000000000000",
"000000000000000000000000000000000010000000000",
"000000000000000000000000000000000000100000000",
"000000000000000000000000000000000000010000000",
"000000000000000000000000000000000000000100000",
"000000000000000000000000000000000000000001000",
"000000000000000000000000000000000000000000100",
"000000000100000000000000000000000000000000000",
"000000000000000000000000000000000000000000001",
"203230110331100123310110232221020211301231122",
"000000000101000000010100100000000000000000000",
"013112312213010130121120022130320232003310030",
"021030100100023322110003022000002203111102302",
"030012101101310132132210233312011303013021013",
"000000000001000000000000000000000000000000000",
"311232003210131001202120013331231110012312233",
"102013003311120230033231000230302132101300002",
"000000000000100000000000000000000000000000000",
"113332202212333322013303013310121001310323122",
"322111002033101322213313031033231033113030322",
"000000000000000000000000000000000001000000000",
"001322231223232320302110031211203213101230131",
"221232012102121232013232212110022232133213333"]);

G<x,y>:=MatrixGroup<45,F|x,y>;
print "Group G is 3.M22 < GL(45,GF(4))";