/*
www-ATLAS of Group Representations.
3.M22 represented as 21 x 21 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,21,[
"010000000000000000000",
"100000000000000000000",
"000010000000000000000",
"000001000000000000000",
"001000000000000000000",
"000100000000000000000",
"000000001000000000000",
"000000000010000000000",
"000000100000000000000",
"000000000000010000000",
"000000010000000000000",
"162255000101060000000",
"000000000000000001000",
"000000000100000000000",
"000000000000000000001",
"432651502300643101004",
"342651562610112016005",
"000000000000100000000",
"162354314660314004103",
"165621245130161006016",
"000000000000001000000"]);

y:=CambridgeMatrix(1,F,21,[
"001000000000000000000",
"000100000000000000000",
"121100000000000000000",
"066600000000000000000",
"000000100000000000000",
"000000010000000000000",
"000000000100000000000",
"000000000001000000000",
"000000000000100000000",
"000000000000001000000",
"000000000000000100000",
"000000000000000010000",
"000000000000000000100",
"000000000000000000010",
"000010000000000000000",
"614430334233212204662",
"000001000000000000000",
"033141130242612156266",
"235564012534454306623",
"412332000405010000000",
"216245044040353350021"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is 3.M22 < GL(21,GF(7))";