/*
www-ATLAS of Group Representations.
G2(4) represented as 64 x 64 matrices over GF(4).
*/

F<w>:=GF(4);

x:=CambridgeMatrix(1,F,64,[
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"0000000000000000000000000000000100000000000000000000000000000000",
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"0000000000000000000000000000000000000000001000000000000000000000",
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"0000000000000000000000000010000000000000000000000000000000000000",
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"0000000000000000000000000000100000000000000000000000000000000000",
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"0000000000000000000000000000010000000000000000000000000000000000",
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"0000000000000000000000000000001000000000000000000000000000000000",
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"0000000000000000000000000000000010000000000000000000000000000000",
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"3303001200330220223301131021201133301112202030113211033210323020",
"3022210022002200331120210313020301012201303023100211032033103103"]);

y:=CambridgeMatrix(1,F,64,[
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"0000010000000000000000000000000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000000000000000000000000",
"0000000001000000000000000000000000000000000000000000000000000000",
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"0000000000000000000001000000000000000000000000000000000000000000",
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"0000000000000000000000001000000000000000000000000000000000000000",
"0000000000000000000000000010000000000000000000000000000000000000",
"0000000000000000000000000000100000000000000000000000000000000000",
"0000000000000000000000000000010000000000000000000000000000000000",
"0000000000000000000000000000001000000000000000000000000000000000",
"0000000000000000000000000000000010000000000000000000000000000000",
"0000000000000000000000000000000000100000000000000000000000000000",
"0000000000000000000000000000000000010000000000000000000000000000",
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"0000000000000000000000000000000000000010000000000000000000000000",
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"0000000000000000000000000000000000000000000100000000000000000000",
"0000000000000000000000000000000000000000000001000000000000000000",
"0000000000000000000000000000000000000000000000010000000000000000",
"0000000000000000000000000000000000000000000000001000000000000000",
"0000000000000000000000000000000000000000000000000010000000000000",
"0000000000000000000000000000000000000000000000000001000000000000",
"0000000000000000000000000000000000000000000000000000010000000000",
"0000000000000000000000000000000000000000000000000000000100000000",
"0000000000000000000000000000000000000000000000000000000010000000",
"0000000000000000000000000000000000000000000000000000000000100000",
"0000000000000000000000000000000000000000000000000000000000010000",
"0000000000000000000000000000000000000000000000000000000000001000",
"0000001000000000000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000000000010",
"0000000000000000000000000000000000000000000000000000000000000001",
"2300021120022233132010003101013111100203103122002212023111312031",
"0212302033232301232001110102302110322022201321312320120020021033",
"0220113010023031101112303022020233122022203012113221330300200120",
"2321031301132300133031320132030121331011231222133013303121302001",
"2230201331302103113030203020021010032323212321000311111201033103",
"3200321230123300111212232101130330110100311010313332201133320323",
"1221321003022323111122300001300201310012020032100121121030001133",
"0000000010000000000000000000000000000000000000000000000000000000",
"1013011111211020323023032221300201032220100111031000130023110101",
"2101313123201323223320131013121113022000122020301111112333332320",
"1220211220002030303021311033111211013133213322330113300021211113",
"3322303302021030200102212010322222200013202121120033332233003202",
"2330312110020102312012030030231012231100022103010333311133012303",
"1020212110332320313101121120222211111010221202032212230013231321",
"1002312123033023021313203310001231101131301331121301310123101023",
"1112213033323032103030301331312131233030200132101301113021012211",
"3012111001101312302322011120011330103331001300230101100323031103",
"2000321230110103130332320132033223132200022232022120102331133303",
"0010013011112003231033233321311122233331020121112003213030220112",
"0221103311211000230010302133123301022223121131330120013232000103",
"0020201122000221201000001220033210030301301022021121120001322223"]);

G<x,y>:=MatrixGroup<64,F|x,y>;
print "Group G is G2(4) < GL(64,GF(4))";