/*
www-ATLAS of Group Representations.
2.L3(4):2a represented as 28 x 28 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,28,[
"0100000000000000000000000000",
"1000000000000000000000000000",
"0001000000000000000000000000",
"0010000000000000000000000000",
"0000001000000000000000000000",
"0000000100000000000000000000",
"0000100000000000000000000000",
"0000010000000000000000000000",
"0000000000010000000000000000",
"0000000000000100000000000000",
"0000000000000001000000000000",
"0000000010000000000000000000",
"0000000000000000001000000000",
"0000000001000000000000000000",
"0000000000000000000010000000",
"0000000000100000000000000000",
"0000000000000000000000010000",
"0000000000000000000000000100",
"0000000000001000000000000000",
"2424023433204324332442222301",
"0000000000000010000000000000",
"3121014000300000001000400000",
"1312400100001003000004000000",
"0000000000000000100000000000",
"3133041004003344000233230123",
"0000000000000000010000000000",
"1211224300124441441202213014",
"4210433032224403101113032310"]);

y:=CambridgeMatrix(1,F,28,[
"0010000000000000000000000000",
"2440000000000000000000000000",
"0000100000000000000000000000",
"0000010000000000000000000000",
"1040100000000000000000000000",
"0000000010000000000000000000",
"0000000001000000000000000000",
"0000000000100000000000000000",
"0000000000001000000000000000",
"0000000000000010000000000000",
"0000000000000000100000000000",
"0000000000000000010000000000",
"0001000000000000000000000000",
"0000000000000000000100000000",
"0000000000000000000001000000",
"0000000000000000000000100000",
"0000000000000000000000001000",
"0000000000000000000000000010",
"0000000000000000000000000001",
"4120034344431413402003342123",
"4414442004240200113424022311",
"0000001000000000000000000000",
"2431313224004311402241300101",
"3213140132301204203314410004",
"0000000100000000000000000000",
"3323144100141234212311043234",
"0242004100010231040312043002",
"4132422231444410242124211222"]);

G<x,y>:=MatrixGroup<28,F|x,y>;
print "Group G is 2.L3(4):2a < GL(28,GF(5))";