/*
www-ATLAS of Group Representations.
3.L3(4):2a represented as 48 x 48 matrices over GF(4).
*/

F<w>:=GF(4);

x:=CambridgeMatrix(1,F,48,[
"010000000000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000000",
"001000000000000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000000",
"000000000001000000000000000000000000000000000000",
"000000000000100000000000000000000000000000000000",
"000001000000000000000000000000000000000000000000",
"000000000000001000000000000000000000000000000000",
"000000010000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000000",
"000000000000000000100000000000000000000000000000",
"000000000010000000000000000000000000000000000000",
"000000000000000000000100000000000000000000000000",
"000000000000000000000001000000000000000000000000",
"000000000000000000000000010000000000000000000000",
"000000000000010000000000000000000000000000000000",
"000000000000000000000000000010000000000000000000",
"000000000000000000000000000000100000000000000000",
"000000000000000100000000000000000000000000000000",
"000000000000000000000000000000000100000000000000",
"000000000000000010000000000000000000000000000000",
"000000000000000000000000000000000001000000000000",
"000000000000000001000000000000000000000000000000",
"000000000000000000000000000000000000001000000000",
"000000000000000000000000000000000000000010000000",
"000000000000000000010000000000000000000000000000",
"000000000000000000000000000000000000000000010000",
"000000000000000000001000000000000000000000000000",
"000000000000000000000000000000000000000000000100",
"000000000000000000000000000000000000000000000001",
"000000000000000000000010000000000000000000000000",
"120313321330021002023223220001333003332302033101",
"000000000000000000000000100000000000000000000000",
"310323133233320332103230011333001011300311310231",
"000230313310122011322002022132202131121120212101",
"000000000000000000000000001000000000000000000000",
"321003111032132301132012213311320301331013221210",
"000000000000000000000000000100000000000000000000",
"101203131131212120302022013333321103203033121020",
"201210221001202000002020201331221100032012120320",
"000000000000000000000000000001000000000000000000",
"010113112311000021213231321303212200012200010031",
"000000000000000000000000000000010000000000000000",
"011113032003220102211001122002011110013212222131",
"000000000000000000000000000000001000000000000000"]);

y:=CambridgeMatrix(1,F,48,[
"001000000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000000",
"102112011000000000000000000000000000000000000000",
"000000000010000000000000000000000000000000000000",
"112230032000000000000000000000000000000000000000",
"210011001000000000000000000000000000000000000000",
"000000000000010000000000000000000000000000000000",
"000000000000000100000000000000000000000000000000",
"000000000000000010000000000000000000000000000000",
"000000000000000001000000000000000000000000000000",
"000000000000000000010000000000000000000000000000",
"000000000000000000001000000000000000000000000000",
"000000000000000000000010000000000000000000000000",
"000000000000000000000000100000000000000000000000",
"000000000000000000000000001000000000000000000000",
"000000000000000000000000000100000000000000000000",
"000000000000000000000000000001000000000000000000",
"000000000000000000000000000000010000000000000000",
"000000000000000000000000000000001000000000000000",
"000000100000000000000000000000000000000000000000",
"000000000000000000000000000000000010000000000000",
"000000000000000000000000000000000000100000000000",
"000000000000000000000000000000000000010000000000",
"000000000000000000000000000000000000000100000000",
"000000000000000000000000000000000000000001000000",
"000000000000000000000000000000000000000000100000",
"000000000100000000000000000000000000000000000000",
"000000000000000000000000000000000000000000001000",
"000000000000000000000000000000000000000000000010",
"201003022223313103111130310120123322132101222302",
"202010001331231011013033122120112030120100123312",
"102103333213312323201000222222333300223320233101",
"100302001310212022210003212002012133313220132320",
"000000000001000000000000000000000000000000000000",
"311132201303320210233132102113102101221022131222",
"233301133023113002301013120121322112312120210013",
"000000000000100000000000000000000000000000000000",
"122233101330321113120033201302031132331013302130",
"111111031120320221032032123021131221000033332330",
"113100132112020110102301212331300232032202023022",
"321032210321313001112001301320001123322233221332",
"121211211132102333120211032102302113222302122230",
"223320001002102313011031111000331202230332131121",
"000000000000001000000000000000000000000000000000",
"320100210020131130032020222233122012331023312133"]);

G<x,y>:=MatrixGroup<48,F|x,y>;
print "Group G is 3.L3(4):2a < GL(48,GF(4))";