/*
www-ATLAS of Group Representations.
4b.L3(4):2a represented as 40 x 40 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,40,[
"0100000000000000000000000000000000000000",
"1000000000000000000000000000000000000000",
"0001000000000000000000000000000000000000",
"0010000000000000000000000000000000000000",
"0000001000000000000000000000000000000000",
"0000000100000000000000000000000000000000",
"0000100000000000000000000000000000000000",
"0000010000000000000000000000000000000000",
"0000000000010000000000000000000000000000",
"0000000000000100000000000000000000000000",
"0000000000000001000000000000000000000000",
"0000000010000000000000000000000000000000",
"0000000000000000001000000000000000000000",
"0000000001000000000000000000000000000000",
"0000000000000000000010000000000000000000",
"0000000000100000000000000000000000000000",
"0000000000000000000000010000000000000000",
"0000000000000000000000000100000000000000",
"0000000000001000000000000000000000000000",
"0000000000000000000000000000100000000000",
"0000000000000010000000000000000000000000",
"4463054000300000001000600000000000000000",
"4436400500001003000006000000000000000000",
"0000000000000000100000000000000000000000",
"0000000000000000000000000000000001000000",
"0000000000000000010000000000000000000000",
"0000000000000000000000000000000000010000",
"0000000000000000000000000000000000000100",
"0000000000000000000100000000000000000000",
"0166311433104300540413110203522321265635",
"6536510466041062341220053561130342030663",
"0633322163654304021400653122636465406336",
"3264516566442545333534500301603443542465",
"0000000000000000000000001000000000000000",
"5052151340401235035160544155424164535252",
"0000000000000000000000000010000000000000",
"6414142120461525043452364361024614562602",
"0000000000000000000000000001000000000000",
"4653332306542236345055302264262201614344",
"5262002352536023261645604460243031114560"]);

y:=CambridgeMatrix(1,F,40,[
"0010000000000000000000000000000000000000",
"4660000000000000000000000000000000000000",
"0000100000000000000000000000000000000000",
"0000010000000000000000000000000000000000",
"1060100000000000000000000000000000000000",
"0000000010000000000000000000000000000000",
"0000000001000000000000000000000000000000",
"0000000000100000000000000000000000000000",
"0000000000001000000000000000000000000000",
"0000000000000010000000000000000000000000",
"0000000000000000100000000000000000000000",
"0000000000000000010000000000000000000000",
"0001000000000000000000000000000000000000",
"0000000000000000000100000000000000000000",
"0000000000000000000001000000000000000000",
"0000000000000000000000100000000000000000",
"0000000000000000000000001000000000000000",
"0000000000000000000000000010000000000000",
"0000000000000000000000000001000000000000",
"0000000000000000000000000000010000000000",
"0000000000000000000000000000001000000000",
"0000001000000000000000000000000000000000",
"0000000000000000000000000000000100000000",
"0000000000000000000000000000000010000000",
"0000000100000000000000000000000000000000",
"0000000000000000000000000000000000100000",
"0000000000000000000000000000000000001000",
"0000000000000000000000000000000000000010",
"0000000000000000000000000000000000000001",
"0636053660143154364360361301664164040136",
"2323310323122421351500244223545300536111",
"3304532533161104211003160340102634630364",
"5140363034625525435251032524155006043203",
"6406031141552452012103311142115424544232",
"0332153363462016052333034245100245563633",
"1262103006352664014535021021540636610255",
"0000000000010000000000000000000000000000",
"6142215043425123606520162134212542605443",
"4065104115652622013664321614061016116342",
"6666511524226644060002421544552225524500"]);

G<x,y>:=MatrixGroup<40,F|x,y>;
print "Group G is 4b.L3(4):2a < GL(40,GF(7))";