/*
www-ATLAS of Group Representations.
A10 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",
"0122422044340241323043220010343311321432212414313440001",
"2011433213322104210021344431204444412334014244202034320",
"4410023340442021314130134230214331324420042222012433224",
"0000000001000000000000000000000000000000000000000000000",
"0143232004424412214340441222400122030131322413102223020",
"0431403120124430421021344343341001341320341401004021332",
"0242003332402341420211034213221221400203140104132120044",
"2432024344431320220412243244234400104000042140031200303",
"0300001130313411334404233011400042002401440320331044044",
"0000000000010000000000000000000000000000000000000000000",
"4442402210203243424340012412231403412431442231120140102",
"0003234322134103022233202102013044021440411011200140010",
"4410024111403242212002324200034042110210131002013240443",
"4220023130242144433410122402243204434202142433001404330",
"0000000000000100000000000000000000000000000000000000000",
"3314113321214422120102100030014130323034434111240444224",
"1333224333240201331420222224402230421433244333101311221",
"2102320204303301212021040100410140130420310114442423134",
"4424301323033304133030103401440132320030121310341330332",
"4430313010222230210444444004141424231301210323204011404",
"1434420340242024132022024311223243041241103242401220430",
"0000000000000001000000000000000000000000000000000000000",
"0402200344040424021133244040331003342033034014203341324",
"0022020111131434341331341110102241213332444213000313114",
"0140410131432200341202041031310442234441433411023102310"]);

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",
"2411221432412244401222102023003420440133203401420101422",
"2022042132233031120243221321434433432104002122203010331",
"1421114211221443411213324304003220424003143123301214112",
"4024234110342003413023202120101330030243402443023204334",
"2032042014423231321041034201413331404431200212213341234",
"1103144432411342233224423304041100032321021331424044313",
"3041140313241421000303011202300412330100204410422421222",
"1133143304342043022402313133301443420203041430011342121",
"3233341001241241130240134124420202410212010420102104312",
"2102330203341023412412310040142341244324121143343014012",
"2024121443212041312231414120321020310011220122342340244",
"1320043130403323303304220221324211022343300122110031030",
"3133242030303011021144030014442212134233341103443241323",
"1213341141103042431131202202420102223030332231322433430",
"1440220114302330033430412402201231340200031202214303130",
"0122410441212412344133310343011221112242320421000133034",
"1321243000104020433132110413044422114103032002322440313",
"2021301132401013112324210324124330234214313441331244314",
"0331012220310401131233022244022233011303434340330241044",
"1110101321020141221334311233310311120442100113112322421",
"0242231213002422004041234132043430113400233310400010242",
"4440401020133424123222444123400044230014140010314402122",
"4014310430200112200020233443002443034244023023012304010",
"0321344321044314144022240400011243120222334300132344134",
"0240043123243003034220140421401214201223111330001010143"]);

G<x,y>:=MatrixGroup<55,F|x,y>;
print "Group G is A10 < GL(55,GF(5))";