/*
www-ATLAS of Group Representations.
L3(4) represented as 35 x 35 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,35,[
"01000000000000000000000000000000000",
"10000000000000000000000000000000000",
"00010000000000000000000000000000000",
"00100000000000000000000000000000000",
"00000010000000000000000000000000000",
"00000001000000000000000000000000000",
"00001000000000000000000000000000000",
"00000100000000000000000000000000000",
"00000000000100000000000000000000000",
"00000000000001000000000000000000000",
"00000000000000010000000000000000000",
"00000000100000000000000000000000000",
"00000000000000000010000000000000000",
"00000000010000000000000000000000000",
"00000000000000000000100000000000000",
"00000000001000000000000000000000000",
"00000000000000000000000100000000000",
"00000000000000000000000001000000000",
"00000000000010000000000000000000000",
"00000000000000000000000000010000000",
"00000000000000100000000000000000000",
"01040010000000000010004000000000000",
"10401000000010000000040000000000000",
"00000000000000001000000000000000000",
"00000000000000000000000000000000100",
"00000000000000000100000000000000000",
"00000000000000000000000000000000001",
"00000000000000000001000000000000000",
"14324411043011223443300241021000100",
"13330013434001312443101311132333214",
"23004213430102404401100141240010103",
"14000302443131021023000420420001301",
"00000000000000000000000010000000000",
"21343424412043430240012043012233420",
"00000000000000000000000000100000000"]);

y:=CambridgeMatrix(1,F,35,[
"00100000000000000000000000000000000",
"04400000000000000000000000000000000",
"00001000000000000000000000000000000",
"00000100000000000000000000000000000",
"10401000000000000000000000000000000",
"00000000100000000000000000000000000",
"00000000010000000000000000000000000",
"00000000001000000000000000000000000",
"00000000000010000000000000000000000",
"00000000000000100000000000000000000",
"00000000000000001000000000000000000",
"00000000000000000100000000000000000",
"00010000000000000000000000000000000",
"00000000000000000001000000000000000",
"00000000000000000000010000000000000",
"00000000000000000000001000000000000",
"00000000000000000000000010000000000",
"00000010000100400000000000000000000",
"00000000000000000000000000100000000",
"00000000000000000000000000001000000",
"00000000000000000000000000000100000",
"00000010000000000000000000000000000",
"00000000000000000000000000000010000",
"00000000000000000000000000000001000",
"00000001000000000000000000000000000",
"00000000000000000000000000000000010",
"40442040012044401221441122204044103",
"40001020123433133431221331040221404",
"21032311211234441024031122030443304",
"00000010000100000000400000000000000",
"10433033044242032222323132403343320",
"11422113020131210001344441131030222",
"13201122020441104242330203143234344",
"00144141210344322330133303404100014",
"41311444101432340344241143433413430"]);

G<x,y>:=MatrixGroup<35,F|x,y>;
print "Group G is L3(4) < GL(35,GF(5))";