/*
www-ATLAS of Group Representations.
2.L3(4) represented as 44 x 44 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,44,[
"10000000000000000000000000000000000000000000",
"01000000000000000000000000000000000000000000",
"00010000000000000000000000000000000000000000",
"00100000000000000000000000000000000000000000",
"00000010000000000000000000000000000000000000",
"00000001000000000000000000000000000000000000",
"00001000000000000000000000000000000000000000",
"00000100000000000000000000000000000000000000",
"00000000000100000000000000000000000000000000",
"00000000000001000000000000000000000000000000",
"00000000000000010000000000000000000000000000",
"00000000100000000000000000000000000000000000",
"00000000000000000010000000000000000000000000",
"00000000010000000000000000000000000000000000",
"12112020100100200000000000000000000000000000",
"00000000001000000000000000000000000000000000",
"00000000000000000000001000000000000000000000",
"00000000000000000000000010000000000000000000",
"00000000000010000000000000000000000000000000",
"00000000000000000000000000100000000000000000",
"00000000000000000000010000000000000000000000",
"00000000000000000000100000000000000000000000",
"00000000000000001000000000000000000000000000",
"00000000000000000000000000000010000000000000",
"00000000000000000100000000000000000000000000",
"00000000000000000000000000000000100000000000",
"00000000000000000001000000000000000000000000",
"00000000000000000000000000000000000100000000",
"00000000000000000000000000000000000001000000",
"00000000000000000000000000000000000000100000",
"00000000000000000000000100000000000000000000",
"00000000000000000000000000000000000000000100",
"00000000000000000000000001000000000000000000",
"00000000000000000000000000000000000000000001",
"22000101202220020222000022212101222102100102",
"00000000000000000000000000010000000000000000",
"01221111011001012002002002212102210122100201",
"00000000000000000000000000001000000000000000",
"00000000000000000000000000000100000000000000",
"20221111100110001212221122200211200000220100",
"21110101122102022100002211010222120100202202",
"00000000000000000000000000000001000000000000",
"20002222001020011020001201012021120102000122",
"00000000000000000000000000000000010000000000"]);

y:=CambridgeMatrix(1,F,44,[
"01000000000000000000000000000000000000000000",
"00100000000000000000000000000000000000000000",
"00001000000000000000000000000000000000000000",
"00000100000000000000000000000000000000000000",
"10000000000000000000000000000000000000000000",
"00000000100000000000000000000000000000000000",
"00000000010000000000000000000000000000000000",
"00000000001000000000000000000000000000000000",
"00000000000010000000000000000000000000000000",
"00000000000000100000000000000000000000000000",
"00000000000000001000000000000000000000000000",
"00000000000000000100000000000000000000000000",
"00010000000000000000000000000000000000000000",
"00000000000000000001000000000000000000000000",
"00000000000000000000100000000000000000000000",
"00000000000000000000010000000000000000000000",
"00000000000000000000000100000000000000000000",
"00000000000100000000000000000000000000000000",
"00000000000000000000000001000000000000000000",
"00000000000000000000000000010000000000000000",
"00000010000000000000000000000000000000000000",
"00000000000000000000000000001000000000000000",
"00000000000000000000000000000100000000000000",
"00000001000000000000000000000000000000000000",
"00000000000000000000000000000001000000000000",
"00000000000000000000000000000000010000000000",
"00000000000000000000000000000000001000000000",
"00000000000000000000000000000000000010000000",
"12112221112121211202120200011000000020000000",
"00000000000000000000000000000000000000010000",
"00000000000000000000000000000000000000001000",
"00000000000000000000000000000000000000000010",
"20101101100221022202011120112021111001111010",
"21211220110221200112100002010000010020000000",
"12202102212021021200220000102002221121122122",
"11102121110222201010022010101100121220201201",
"00000000000001000000000000000000000000000000",
"12101012112012121020220000112122000121202111",
"22001121211220001111010212002101022000021100",
"22021021110222010021100211210201120112211101",
"10111002020011001222212010110211011100001212",
"00022112211020210011021000210201110001221021",
"11001210012101200100202211222220012000001122",
"10102120221112111211021221001121210000121022"]);

G<x,y>:=MatrixGroup<44,F|x,y>;
print "Group G is 2.L3(4) < GL(44,GF(3))";