/*
www-ATLAS of Group Representations.
2.A7 represented as 20 x 20 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,20,[
"01000000000000000000",
"00010000000000000000",
"00000100000000000000",
"10000000000000000000",
"00000000100000000000",
"00000000001000000000",
"00000000000010000000",
"00000000000000100000",
"00000000000000001000",
"00000000000000000010",
"00100000000000000000",
"02624602354655512605",
"22312161560243540261",
"23625242213234656630",
"00105322653050603020",
"04134061115101150160",
"00001000000000000000",
"61503260524143353360",
"22213206250223042211",
"33412036152551243301"]);

y:=CambridgeMatrix(1,F,20,[
"00100000000000000000",
"00001000000000000000",
"00000010000000000000",
"00000001000000000000",
"00000000010000000000",
"00000000000100000000",
"00000000000001000000",
"00000000000000010000",
"00000000000000000100",
"00000000000000000001",
"50252632145611435352",
"06000660000600000000",
"51512664536400465114",
"11000210060100000001",
"12325551604032160364",
"45454021444040504656",
"01314402022156450213",
"03004112034265422504",
"15426253111010450035",
"11606110000606000001"]);

G<x,y>:=MatrixGroup<20,F|x,y>;
print "Group G is 2.A7 < GL(20,GF(7))";