/*
www-ATLAS of Group Representations.
HS:2 represented as 21 x 21 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,21,[
"100412341240140301421",
"003142134242043003414",
"000002112341044202410",
"001233112011444143313",
"010011140440140410410",
"041222022121404242402",
"402232304442303104304",
"111332213011144222322",
"000002202341134201010",
"440313044012443444312",
"004002112301044202410",
"443442432342304133300",
"004002112341144202410",
"443032342442303033444",
"004002112341040202410",
"004002112341044302410",
"004002112341044212410",
"404142022341044203410",
"001222112011044102412",
"044302111341444132410",
"104001202341144211410"]);

y:=CambridgeMatrix(1,F,21,[
"112110330404340124110",
"014340234224241114013",
"442311431221404232042",
"002421223021144202012",
"003331201120140401113",
"011210241404240120010",
"003331201120140401013",
"403421111120140402013",
"003331201220140401013",
"011211201444240011010",
"123040341124340130013",
"001011240340140441011",
"012121230404241210011",
"003341201120140401013",
"004334144334101204103",
"004242431020230401024",
"040001211340040342011",
"100101424124241104114",
"041411340340141441021",
"404102122341044243410",
"004140021440000302410"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is HS:2 < GL(21,GF(5))";