/*
www-ATLAS of Group Representations.
J2:2 represented as 28 x 28 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,28,[
"0100000000000000000000000000",
"1000000000000000000000000000",
"0001000000000000000000000000",
"0010000000000000000000000000",
"0000001000000000000000000000",
"0000000010000000000000000000",
"0000100000000000000000000000",
"0000000000010000000000000000",
"0000010000000000000000000000",
"0000000000000100000000000000",
"0000000000000001000000000000",
"0000000100000000000000000000",
"0000000000000000001000000000",
"0000000001000000000000000000",
"0000000000000000000001000000",
"0000000000100000000000000000",
"0000000000000000000000001000",
"0000000000000000000000000010",
"0000000000001000000000000000",
"0301602364623001115515246500",
"4611125065224232554644240065",
"0000000000000010000000000000",
"6556131022003664236352145022",
"5640502603662651566442401425",
"0000000000000000100000000000",
"2302305363425062666503125364",
"0000000000000000010000000000",
"6551234153015030431366533231"]);

y:=CambridgeMatrix(1,F,28,[
"0010000000000000000000000000",
"0660000000000000000000000000",
"0000100000000000000000000000",
"0000010000000000000000000000",
"0000000100000000000000000000",
"0000000001000000000000000000",
"0000000000100000000000000000",
"1210600100000000000000000000",
"0000000000001000000000000000",
"0000000000000010000000000000",
"0000000000000000100000000000",
"0000000000000000010000000000",
"0000000000000000000100000000",
"0000000000000000000010000000",
"0000000000000000000000100000",
"0000000000000000000000010000",
"0000000000000000000000000100",
"0000000000000000000000000001",
"5145605652464635343222412615",
"2304253336416536420061545544",
"3141221115332214060204012104",
"4511632246030101565213451035",
"0001000000000000000000000000",
"6435152025606054360240442115",
"4613254314254445550461152223",
"1546446541114223650143665402",
"3651242551242100421623023623",
"0226231325664626203153636136"]);

G<x,y>:=MatrixGroup<28,F|x,y>;
print "Group G is J2:2 < GL(28,GF(7))";