/*
www-ATLAS of Group Representations.
A11 represented as 55 x 55 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,55,[
"0100000000000000000000000000000000000000000000000000000",
"0001000000000000000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000000000000000",
"1000000000000000000000000000000000000000000000000000000",
"0000000010000000000000000000000000000000000000000000000",
"0000000000100000000000000000000000000000000000000000000",
"0000000000001000000000000000000000000000000000000000000",
"0000000000000010000000000000000000000000000000000000000",
"0000000000000000100000000000000000000000000000000000000",
"0000000000000000001000000000000000000000000000000000000",
"0010000000000000000000000000000000000000000000000000000",
"0000000000000000000001000000000000000000000000000000000",
"0000000000000000000000100000000000000000000000000000000",
"0000000000000000000000001000000000000000000000000000000",
"0000000000000000000000000010000000000000000000000000000",
"0000000000000000000000000000100000000000000000000000000",
"0000100000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000100000000000000000000000",
"0000000000000000000000000000000001000000000000000000000",
"0000000000000000000000000000000000010000000000000000000",
"0000000000000000000000000000000000000100000000000000000",
"0000000000000000000000000000000000000001000000000000000",
"0000001000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000001000000000000",
"0000000000000000000000000000000000000000000010000000000",
"0000000000000000000000000000000000000000000000100000000",
"0000000100000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000100000",
"0000000000000000000000000000000000000000000000000001000",
"0000000000000000000000000000000000000000000000000000010",
"1040432300331110242402400303404230222313112140113114404",
"2204420002003403313324323344103000222212411330431234300",
"3043000014113344322142440011203340101224423000301421340",
"0000000001000000000000000000000000000000000000000000000",
"3224413040314313013442212240442431412134220444003013113",
"0024424443022013111413031044214331112343143301432100142",
"2434002332412341220230113200442243233302302410220420234",
"2311230244240033002043340441000003404444140343400230230",
"1422334202411213324011023024433044440432433301202132230",
"0000000000010000000000000000000000000000000000000000000",
"4210111013313204411430104012024012044131214333132334333",
"4041123432324044003133114300304310022313232212424300313",
"0142010024043240012333100002222230321024010433401242424",
"3134422340323220343133224214030402424242000211421102040",
"0000000000000100000000000000000000000000000000000000000",
"3433222220030410124324244423013003142430203403204443201",
"4342101230342002011121400003213044140342212232122124142",
"3304010243141234003423322213042342003220243120323013322",
"1140330343002214240123432333403102323340403214121042033",
"3303024111113201343342433301221210411340142412240331034",
"4424143132340421432044241320020122140011134331043131004",
"0000000000000001000000000000000000000000000000000000000",
"0314020424431013041440124403033211034112210413022021443",
"0143300221011132441143434024041201343410412433212141320",
"4224243031300240310241443040304412400020330244201331413"]);

y:=CambridgeMatrix(1,F,55,[
"0010000000000000000000000000000000000000000000000000000",
"0000100000000000000000000000000000000000000000000000000",
"0000001000000000000000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000000000000000",
"0000000001000000000000000000000000000000000000000000000",
"0000000000010000000000000000000000000000000000000000000",
"0000000000000100000000000000000000000000000000000000000",
"0000000000000001000000000000000000000000000000000000000",
"0000000000000000010000000000000000000000000000000000000",
"0000000000000000000100000000000000000000000000000000000",
"0000000000000000000010000000000000000000000000000000000",
"0440444000040000000000000000000000000000000000000000000",
"0000000000000000000000010000000000000000000000000000000",
"0000000000000000000000000100000000000000000000000000000",
"0000000000000000000000000001000000000000000000000000000",
"0000000000000000000000000000010000000000000000000000000",
"0000000000000000000000000000001000000000000000000000000",
"0000000000000000000000000000000010000000000000000000000",
"0000000000000000000000000000000000100000000000000000000",
"0000000000000000000000000000000000001000000000000000000",
"0000000000000000000000000000000000000010000000000000000",
"0000000000000000000000000000000000000000100000000000000",
"0000000000000000000000000000000000000000010000000000000",
"0000000000000000000000000000000000000000000100000000000",
"0000000000000000000000000000000000000000000001000000000",
"0000000000000000000000000000000000000000000000010000000",
"0000000000000000000000000000000000000000000000001000000",
"0000000000000000000000000000000000000000000000000010000",
"0000000000000000000000000000000000000000000000000000100",
"0000000000000000000000000000000000000000000000000000001",
"1401341013041221042401321201142444030320401243431243433",
"4103420224224232122241130041222023210333242324410442134",
"2330224121012334403132320413144214044434021400132301123",
"2130203120320021142012010030200414440143210123130311000",
"3014443100402434242122314440323101134040400410123204202",
"2040434212222213302412330413210400014003432100144024312",
"0110212420330434424303433031114111413132334134421120443",
"0402200414334400024140242021022104313324102422134041111",
"4020334102343443043312221321214030432432001221402332023",
"4222132412331210041030210201120320010004322040333144324",
"3220431244411112301332210000214423000404341241103101011",
"1434300413423232200043002031031124213301320102122103012",
"1111024013400434340041341022424133421403412304242302433",
"1011420431222030234420344024020340003312030102220211441",
"4123024341342222323331322314112214443333144421100313002",
"3102200321334211344034234313401123213134342300112144004",
"3312104042302440241110213113143424013231141330023414024",
"2141220443244130222430424311241422013434303404104202130",
"4314314113121312044403002011243032231111012121401103222",
"2424321241412040442202200210330021134031021142113402110",
"3004420433042413031202242034404441110431140002332323231",
"4043024202133322121032100414122414204221240110044224031",
"1440431244043343334403431421324411223432131414412203142",
"1111032440422233243011242110224120443234121234401134233",
"2022442244344130031011124040001312330142144411020430200"]);

G<x,y>:=MatrixGroup<55,F|x,y>;
print "Group G is A11 < GL(55,GF(5))";