/*
www-ATLAS of Group Representations.
A10 represented as 75 x 75 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,75,[
"010000000000000000000000000000000000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000000000000000000000000000000000",
"000000000010000000000000000000000000000000000000000000000000000000000000000",
"000000000000100000000000000000000000000000000000000000000000000000000000000",
"000000000000001000000000000000000000000000000000000000000000000000000000000",
"000000000000000010000000000000000000000000000000000000000000000000000000000",
"000000000000000000100000000000000000000000000000000000000000000000000000000",
"001000000000000000000000000000000000000000000000000000000000000000000000000",
"000000000000000000000100000000000000000000000000000000000000000000000000000",
"000000000000000000000010000000000000000000000000000000000000000000000000000",
"000000000000000000000000100000000000000000000000000000000000000000000000000",
"000000000000000000000000001000000000000000000000000000000000000000000000000",
"000000000000000000000000000010000000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000000000000000000000000000000000",
"000000000000000000000000000000010000000000000000000000000000000000000000000",
"000000000000000000000000000000000100000000000000000000000000000000000000000",
"000000000000000000000000000000000001000000000000000000000000000000000000000",
"000000000000000000000000000000000000010000000000000000000000000000000000000",
"000000000000000000000000000000000000000100000000000000000000000000000000000",
"000000100000000000000000000000000000000000000000000000000000000000000000000",
"000000000000000000000000000000000000000000100000000000000000000000000000000",
"000000000000000000000000000000000000000000001000000000000000000000000000000",
"000000000000000000000000000000000000000000000010000000000000000000000000000",
"000000010000000000000000000000000000000000000000000000000000000000000000000",
"000000000000000000000000000000000000000000000000010000000000000000000000000",
"000000000000000000000000000000000000000000000000000100000000000000000000000",
"000000000000000000000000000000000000000000000000000001000000000000000000000",
"000000000000000000000000000000000000000000000000000000010000000000000000000",
"000000000000000000000000000000000000000000000000000000000100000000000000000",
"000000000000000000000000000000000000000000000000000000000001000000000000000",
"000000000100000000000000000000000000000000000000000000000000000000000000000",
"000000000000000000000000000000000000000000000000000000000000001000000000000",
"000000000000000000000000000000000000000000000000000000000000000010000000000",
"000000000000000000000000000000000000000000000000000000000000000000100000000",
"000000000000000000000000000000000000000000000000000000000000000000001000000",
"000000000000000000000000000000000000000000000000000000000000000000000010000",
"000000000001000000000000000000000000000000000000000000000000000000000000000",
"000000000000000000000000000000000000000000000000000000000000000000000000010",
"000000000000000000000000000000000000000000000000000000000000000000000000001",
"212332224312131232212043433030430142430011202020140041010432013043303410001",
"101201012403010432041141314040420333440401404341343132340412203021441224131",
"000000000000010000000000000000000000000000000000000000000000000000000000000",
"022212331211413213100023341131433324314200414404402404200131324031213341120",
"304202102141123324333210332221330331204124440331313013330303243014342414312",
"234412314420311132424210420224134244333232140332433424320004201043342424022",
"013220330430241441413341014214210132001132022213104101400131100044321012031",
"242340400344421410034023142324040413244234003100040310030141003004404010332",
"304204300132310110412410002024343241444014141031414310330132222004143414003",
"000000000000000100000000000000000000000000000000000000000000000000000000000",
"412140121320112401010124003414042421443301303410100002030012004021000020243",
"402301032440003043341432402031114023431423441121243241330313204022341124331",
"242224302110442220400122130014044001203132121333324001020300114041421402304",
"334143222024243333012240013132400401400422044201103344320144204043241314010",
"313403044004243034443121344423031404330212411124342111201242313031212011240",
"000000000000000001000000000000000000000000000000000000000000000000000000000",
"123110210104343042323101132022404002330233101340110112040143021033400320424",
"434103433003023030013210124144143431133420100030100424020412012022201340331",
"304443344422321301222121423141140202200101332042231404130442040022434213312",
"103322321443433202401240432320343332022121402340100214000043020042303120341",
"101442432433002033112434041110441414223314413214332141210110301040412441120",
"202444413230220104234031231113202012401113320333424420430111123143024242124",
"000000000000000000010000000000000000000000000000000000000000000000000000000",
"322241041211420322101022043114033142233320012444232424210222330010013301134",
"231111401013444442010340332413211324331334444231313302310402203001140124131",
"201100200103133422243100001414320211134031342301333133300103213002100414241",
"000000000000000000001000000000000000000000000000000000000000000000000000000",
"432201414302211240000023112031223030202044011104412404230240301012211141040",
"124044040041002321423323311023013401020344023303024102440001114021123442342",
"431301324243444440301230130141032114004432203020110404010012041004100331433",
"232130030312332033103342401110233410240402244211343200310100204001141134213",
"020210214444203244221224300042322302213443334332111430140431421032434323033",
"413023322223024233202343012202122420140424132142301021130431401020231213324"]);

y:=CambridgeMatrix(1,F,75,[
"001000000000000000000000000000000000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000000000000000000000000000000000",
"000000000001000000000000000000000000000000000000000000000000000000000000000",
"000000000000010000000000000000000000000000000000000000000000000000000000000",
"000000000000000100000000000000000000000000000000000000000000000000000000000",
"000000000000000001000000000000000000000000000000000000000000000000000000000",
"000000000000000000010000000000000000000000000000000000000000000000000000000",
"000000000000000000001000000000000000000000000000000000000000000000000000000",
"040004400004000000000000000000000000000000000000000000000000000000000000000",
"000000000000000000000001000000000000000000000000000000000000000000000000000",
"000000000000000000000000010000000000000000000000000000000000000000000000000",
"000000000000000000000000000100000000000000000000000000000000000000000000000",
"000000000000000000000000000001000000000000000000000000000000000000000000000",
"000000000000000000000000000000100000000000000000000000000000000000000000000",
"000000000000000000000000000000001000000000000000000000000000000000000000000",
"000000000000000000000000000000000010000000000000000000000000000000000000000",
"000000000000000000000000000000000000100000000000000000000000000000000000000",
"000000000000000000000000000000000000001000000000000000000000000000000000000",
"000000000000000000000000000000000000000010000000000000000000000000000000000",
"000000000000000000000000000000000000000001000000000000000000000000000000000",
"000000000000000000000000000000000000000000010000000000000000000000000000000",
"000000000000000000000000000000000000000000000100000000000000000000000000000",
"000000000000000000000000000000000000000000000001000000000000000000000000000",
"000000000000000000000000000000000000000000000000100000000000000000000000000",
"000000000000000000000000000000000000000000000000001000000000000000000000000",
"000000000000000000000000000000000000000000000000000010000000000000000000000",
"000000000000000000000000000000000000000000000000000000100000000000000000000",
"000000000000000000000000000000000000000000000000000000001000000000000000000",
"000000000000000000000000000000000000000000000000000000000010000000000000000",
"000000000000000000000000000000000000000000000000000000000000100000000000000",
"000000000000000000000000000000000000000000000000000000000000010000000000000",
"000000000000000000000000000000000000000000000000000000000000000100000000000",
"000000000000000000000000000000000000000000000000000000000000000001000000000",
"000000000000000000000000000000000000000000000000000000000000000000010000000",
"000000000000000000000000000000000000000000000000000000000000000000000100000",
"000000000000000000000000000000000000000000000000000000000000000000000001000",
"000000000000000000000000000000000000000000000000000000000000000000000000100",
"224144223213102402314112013242132442402413242341413121301023242221243234420",
"124400004240100323142442442204403124142223221333331002204132332222441124020",
"321014314042031231101224040324443330220404303311043024320314210014341404013",
"134132223034104414232231431231144130044004002414442103224041431030024423430",
"140303012242101224030111003411000412141104030432321022140210433034330023320",
"210141002123340434304234423143130344421431000330044341230001342023412211310",
"344331411041402112202321010122014104322130020034114244400300120041322232234",
"343002104121312233440324232404332103401404243434023302312042114312021022420",
"241004204304232100013324342311234432404012322413344132444300112020322202034",
"234332224340320113303401340111223402403032022233240413430433110023020222440",
"003334420024142131104004221042112001030004433211300413040030022030022112311",
"442201100414434002020102423011112110422041314234142300220114341022011401413",
"112432042131314123442012433024412100412023420304033311040102114441041224230",
"101010200220314033333424243042002143324041230202441030230422433044130403400",
"200144413314001401443141220243301202322342430400123330402002224432303444041",
"030123120233120444141320101231120430232343111344112331241420300032214221222",
"320232341102430334132120333201032301224444011304221412313401222044322133320",
"421113113414013111043122334242123041242002311314002203230141341011312401243",
"034313211004330100120401112230213241310203132211013403120304020122014141432",
"203111343003404100312024212410443140042041001400240300020102134033203440312",
"013143122313122332001224124244142000331011244104044420430002220420402443223",
"332201000132104404323044204421232333032143204243024023041224020204114431021",
"244441303442412312003432043223313123224011024323344434410242141104120302202",
"241012211231234033301013144042330431102031114420121420020130204240334021430",
"032204113041324011240430342440430232032432210304332000200034323014314401011",
"004331422320430100014444304434021422112424422223144412102133430324213410122",
"142123421242344011303112400333131333011141430012111411140400421013040023040",
"020440111120102241442121411441321401103131344433012020434343142224131111244",
"142421020442212211403033230020114100212214301200120300040401014003000130441",
"434310042414113322224200434142221022324241043424314010200114314300014032244",
"133102200202023444000211224224431221131443214414002101220010324013214002141",
"203213131220101240323221140334114432333222330431320134411201243303304134110",
"200420231014421410112311013031034131122033143423222401403110114413420232234",
"104144240002003020110233041231230111032102311214432222231401302203111201430",
"342421210411043012313403142403134001130404203340142421314400202234023122320"]);

G<x,y>:=MatrixGroup<75,F|x,y>;
print "Group G is A10 < GL(75,GF(5))";