/*
www-ATLAS of Group Representations.
J1 represented as 120 x 120 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,120,[
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y:=CambridgeMatrix(1,F,120,[
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"000006506611163351532225556133003520311662541305455351401201323135554360362564235454635460436355255154024664303231026146",
"400013605461210450210621426016305150215262224301226652411202603325534526624325414613456002140603431450114262654633525461",
"200044206043206246442111512445636262522464460302156016126032362256120635623641414513602143162334245154310026161652354431",
"100024601211314552146343250220150425635054650134245466635620403344522214333006341244015455214526400110124203425565045422",
"500030002163414165043654556545650066356045402240064540241251314513502253135131645040635534153005054236631051526625661045",
"400012400123116251353450465003554511312445456065301524464413310115540655456652104163532411324052605202340500203535264145",
"000000102350102613042140321064163331142435655325135406600320526535663032615250415123352062112555020525513652040261100134",
"300065101640402120646253630660144366326343632051423143626331332050002413525055255634535564615425155055126166032416625060",
"500034604020412023616325323063321105516041546020150050314120345352165533065522564446456060105123333450546162262034033314",
"000004001456020426263664635420062045232541524256520512441503564130066221260614031521422413053444026662064612532053651365",
"000004202513611252465264402650165254421012405134214433340445201051503445054213540556666144155540620005125013115064135413",
"600051305551103522524523214062522264405546423155410023623366232226423026645014362116511543440425404105532645112363224310",
"300060401535415521313052513310112104116555324642425430513364325550063432356535444030062035534143032225602535346013211363",
"100026104456603032553421122602135536643433224520036450454330314641034435134321015034535020246120556031042061412606656342",
"600050103052330131434252466140461660140345215361632061461613642325613225412304464045662116043211532366461232643165016126",
"300062606124012511204626141216662520402552645455101535323653225404131330031232136363536242404301040422641400042054566414",
"500035002164216161606664361451020555616513541330136310115301022424514456645515506550556136132634614056222353646464540203",
"400013504512352440613344351234643624312045416200125030350620234436306650623513000066340155314450443321243625213345434220",
"300060300656132013101564466422364560426254163240160064364500012035332061120410443616061121441540442324156653260543023665",
"300062604024655432566355254523565063411446550113201104422665413523502135101456431115003026401244051206063610461400664135",
"600052303400466400524141365510614061243342425530262562102145352135241331245304322614111154501615050466645264013652156450"]);

G<x,y>:=MatrixGroup<120,F|x,y>;
print "Group G is J1 < GL(120,GF(7))";