/*
www-ATLAS of Group Representations.
M22:2 represented as 55 x 55 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,55,[
"4000000000000000000000000000000000000000000000000000000",
"0010000000000000000000000000000000000000000000000000000",
"0100000000000000000000000000000000000000000000000000000",
"0000100000000000000000000000000000000000000000000000000",
"0001000000000000000000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000000000000000",
"0000000001000000000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000000000000000",
"0000000000001000000000000000000000000000000000000000000",
"0000001000000000000000000000000000000000000000000000000",
"0000000000000010000000000000000000000000000000000000000",
"0000000000000000100000000000000000000000000000000000000",
"0000000010000000000000000000000000000000000000000000000",
"0000000000000000000100000000000000000000000000000000000",
"0000000000100000000000000000000000000000000000000000000",
"0000000000000000000000100000000000000000000000000000000",
"0000000000010000000000000000000000000000000000000000000",
"0140010400000000010000000000000000000000000000000000000",
"0000000000000000000000000100000000000000000000000000000",
"0000000000000100000000000000000000000000000000000000000",
"0000000000000000000000000000100000000000000000000000000",
"0000000000000000000000000000001000000000000000000000000",
"0000000000000001000000000000000000000000000000000000000",
"0000000000000000000000000000000010000000000000000000000",
"0000000000000000000000000000000000100000000000000000000",
"0000000000000000001000000000000000000000000000000000000",
"1004100010444010100000001010000000400000000000000000000",
"0000000000000000000000000000000000000100000000000000000",
"0000000000000000000010000000000000000000000000000000000",
"0000000000000000000000000000000000000000100000000000000",
"0000000000000000000001000000000000000000000000000000000",
"3000000010444010100000001000000100400000000000000000000",
"0000000000000000000000010000000000000000000000000000000",
"4001400040111040400000004000000001100000000000000000000",
"0000000000000000000000001000000000000000000000000000000",
"0000000000000000000000000000000000000000000000100000000",
"0000000000000000000000000000000000000000000000001000000",
"0000000000000000000000000001000000000000000000000000000",
"0000000000000000000000000000000000000000000000000010000",
"0000000000000000000000000000000000000000000000000000100",
"0000000000000000000000000000010000000000000000000000000",
"2002342133202133004443232104122020304121310000001030400",
"0232304001010203402334200301241000022410101000303040000",
"3230004041011101400404444000001010100014000100000040100",
"0232310410424114303432121200233030443011200010102040400",
"0412304001010204403333140201242010022410100001303040000",
"0000000000000000000000000000000000010000000000000000000",
"1320032233202132003421331204324020431122300000214030300",
"0000000000000000000000000000000000001000000000000000000",
"4322301014334422202121301304344000443114100000102140100",
"0000000000000000000000000000000000000010000000000000000",
"2142341114404113003434210200241040033001100000202001400",
"0000000000000000000000000000000000000001000000000000000",
"1412311414444012102031301304244000443114100000102040110",
"0322321334212330404201031100014020404032400000001020301"]);

y:=CambridgeMatrix(1,F,55,[
"0100000000000000000000000000000000000000000000000000000",
"4000000000000000000000000000000000000000000000000000000",
"0001000000000000000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000000000000000",
"0000001000000000000000000000000000000000000000000000000",
"0000000010000000000000000000000000000000000000000000000",
"0000000000100000000000000000000000000000000000000000000",
"0000000000010000000000000000000000000000000000000000000",
"0010000000000000000000000000000000000000000000000000000",
"0000000000000100000000000000000000000000000000000000000",
"0000000000000001000000000000000000000000000000000000000",
"0000000000000000010000000000000000000000000000000000000",
"0000000000000000001000000000000000000000000000000000000",
"0000000000000000000010000000000000000000000000000000000",
"0000000000000000000001000000000000000000000000000000000",
"0000100000000000000000000000000000000000000000000000000",
"0000000000000000000000010000000000000000000000000000000",
"0000000000000000000000001000000000000000000000000000000",
"0000000000000000000000000010000000000000000000000000000",
"0000000000000000000000000001000000000000000000000000000",
"0000000000000000000000000000010000000000000000000000000",
"0000000000000000000000000000000100000000000000000000000",
"4414100000000000004000000100000000000000000000000000000",
"0000000000000000000000000000000001000000000000000000000",
"0000000100000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000010000000000000000000",
"0000000000000000000000000000000000001000000000000000000",
"0000000000000000000000000000000000000010000000000000000",
"0000000000000000000000000000000000000001000000000000000",
"0000000001000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000010000000000000",
"0000000000000000000000000000000000000000001000000000000",
"0000000000000000000000000000000000000000000100000000000",
"0000000000000000000000000000000000000000000010000000000",
"0000000000000000000000000000000000000000000001000000000",
"0000000000000000000000000000000000000000000000010000000",
"0000000000001000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000100000",
"0000000000000000000000000000000000000000000000000001000",
"0000000000000000000000000000000000000000000000000000010",
"2340244323114203333400442041231020332214230312442344210",
"0000000000000000000000000000000000000000000000000000001",
"0000000000000010000000000000000000000000000000000000000",
"0103320100424013134423303300244010440024103000202144110",
"0000000000000000100000000000000000000000000000000000000",
"4001400040111000400000004040000001100000000000000000000",
"0042001444424330044404232324222202134142311044301423124",
"1410000040001004000000100000000000000000000000000000000",
"2230324030320434324423204023102143202313143024241212412",
"1222123122211440213010233142434441304113304012344142222",
"4043221242132214434000032021310014020012404311421043010",
"0000000000000000000100000000000000000000000000000000000",
"1122231103224231434100441432412410141400431014030042312",
"0311022343200042020244314234103140130012002032243323411",
"3340344442133031030120123011422013142041312043433004431"]);

G<x,y>:=MatrixGroup<55,F|x,y>;
print "Group G is M22:2 < GL(55,GF(5))";