/*
www-ATLAS of Group Representations.
A11 represented as 43 x 43 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,43,[
"0100000000000000000000000000000000000000000",
"0001000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000",
"1000000000000000000000000000000000000000000",
"0000000010000000000000000000000000000000000",
"0000000000100000000000000000000000000000000",
"0000000000001000000000000000000000000000000",
"0000000000000010000000000000000000000000000",
"0000000000000000100000000000000000000000000",
"0000000000000000001000000000000000000000000",
"0010000000000000000000000000000000000000000",
"0000000000000000000001000000000000000000000",
"0000000000000000000000100000000000000000000",
"0000000000000000000000001000000000000000000",
"0000000000000000000000000010000000000000000",
"0000000000000000000000000000100000000000000",
"0000100000000000000000000000000000000000000",
"0000000000000000000000000000000100000000000",
"4011241343041422431031001000300400000000000",
"0134412014111130020144304020000400000000000",
"0104341124104242030000103000300300000000000",
"4402411423444343430032202020200400000000000",
"0000001000000000000000000000000000000000000",
"3304312200420204240003313030100100000000000",
"0411130121113310200014103030000400000000000",
"2112201243440132411041004100300000000000000",
"0000000100000000000000000000000000000000000",
"0411314044313114332014204041100100000000000",
"1341342422201241004010103020000400000000000",
"3002310100403204241010103040110000000000000",
"0030020223032013344022100020201400000000000",
"2444431324344244401001003030100100000000000",
"1113430411144113011021404000200210000000000",
"0411423414210442002014101020300401000000000",
"1321412200224242142023203040300400100000000",
"1103034230241331244041102000400200010000000",
"0233234402443322342041402040300200001000000",
"0040420023423024400033400030100200000100000",
"1400323342302034342040100040100200000010000",
"4041034444304043130040300020200300000001000",
"1301203420030130133032404030000400000000100",
"4120040113431141434022204000400000000000010",
"0411020032221241212043003010400000000000001"]);

y:=CambridgeMatrix(1,F,43,[
"0010000000000000000000000000000000000000000",
"0000100000000000000000000000000000000000000",
"0000001000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000",
"0000000001000000000000000000000000000000000",
"0000000000010000000000000000000000000000000",
"0000000000000100000000000000000000000000000",
"0000000000000001000000000000000000000000000",
"0000000000000000010000000000000000000000000",
"0000000000000000000100000000000000000000000",
"0000000000000000000010000000000000000000000",
"0400044000040000000000000000000000000000000",
"0000000000000000000000010000000000000000000",
"0000000000000000000000000100000000000000000",
"0000000000000000000000000001000000000000000",
"0000000000000000000000000000010000000000000",
"0000000000000000000000000000001000000000000",
"0000000000000000000000000000000010000000000",
"1331333014330012342113023032102300000000000",
"0000000000000000000000000000000001000000000",
"0144311042001113330420100040200010000000000",
"0212224014324423111033233020202200000000000",
"1034121213240134222012232042400300000000000",
"0000000000000000000000000000000000100000000",
"4402324132220222044020221123001400000000000",
"0000000000000000000000000000000000010000000",
"0342040144230431104023201011404300000000000",
"0000000000000000000000000000000000001000000",
"3141100314020401344010233034013000000000000",
"0000000000000000000000000000000000000100000",
"2114443220240032421143002104131400402000000",
"2241224304201333420042411000201310000000000",
"0000000000000000000000000000000000000010000",
"0000000000000000000000000000000000000001000",
"0000000000000000000000000000000000000000100",
"0000000000000000000000000000000000000000010",
"1413230113303043413004034303311304332110200",
"0000000000000000000000000000000000000000001",
"3300013132112422131310141241010133212234232",
"3111324131302440043433042330324431404322401",
"3000244101331420430444041304030044111244101",
"2042040414344420113030221304144311144220214",
"1431010403241101331134203442320431441100420"]);

G<x,y>:=MatrixGroup<43,F|x,y>;
print "Group G is A11 < GL(43,GF(5))";