/*
www-ATLAS of Group Representations.
G2(3) represented as 64 x 64 matrices over GF(4).
*/

F<w>:=GF(4);

x:=CambridgeMatrix(1,F,64,[
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"0000000000000000000000000000000000000000000000000000000000000010",
"0000000000000000000000000000000000001000000000000000000000000000",
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"0000000000000000000000000000000000000000100000000000000000000000",
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"0000000000000000000000000000000000000000000100000000000000000000",
"1311223123201223121210321310232221102101023013002030231302120300",
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"0000000000000000000000000000000000000000000001000000000000000000",
"0000000000000000000000000000000000000000000000100000000000000000",
"2000033012131010201321021002321101111133020222310310001022001202",
"0000000000000000000000000000000000000000000000010000000000000000",
"1123223001100132312122312130030202002023021020110231003233333033"]);

y:=CambridgeMatrix(1,F,64,[
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"1010000000000000000000000000000000000000000000000000000000000000",
"0000100000000000000000000000000000000000000000000000000000000000",
"0000001000000000000000000000000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000000000000000000000000",
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"0000000000000000000000000000001000000000000000000000000000000000",
"0000000000000000000000000000000100000000000000000000000000000000",
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"0000000000000000000000000000000000000000000000100000000000000000",
"0000000000000000000000000000000000000000000000010000000000000000",
"0000000000000000000010000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000010000000000000",
"0000000000000000000000000000000000000000000000000001000000000000",
"0000000000000000000000000000000000000000000000000000100000000000",
"0000000000000000000000100000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000001000000000",
"0000000000000000000000010000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000001000000",
"0000000000000000000000000000000000000000000000000000000000100000",
"0000000000000000000000000100000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000000000100",
"0000000000000000000000000000000000000000000000000000000000000001",
"0021120311201020203102300113322031230133012233203011020031220320",
"0103131033123333300001032101120313133300003211221232320212310011",
"0000000000000000000000000000100000000000000000000000000000000000",
"0003110031330131023203021010320012321012311103323220011211213330",
"3231211110032102311111112000231201313031213021113012010202313320",
"0212212210311232210203330031321132301003220002310123000000200232",
"0102122033003023013310202012120303103233113033200031301302012302",
"2022010101021101202021330201210231300011200303110331113322012313",
"2113321031123010321103001222222301000002033132332202231001303311",
"0000000000000000000000000000000010000000000000000000000000000000",
"0313213102300210122302121021203231221103111000123301133320101212",
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"0000000000000000000000000000000000100000000000000000000000000000",
"1323211130020230201131221202120001001300010121222113211023211130",
"0000000000000000000000000000000000010000000000000000000000000000"]);

G<x,y>:=MatrixGroup<64,F|x,y>;
print "Group G is G2(3) < GL(64,GF(4))";