/*
www-ATLAS of Group Representations.
L3(4):2a represented as 35 x 35 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,35,[
"01000000000000000000000000000000000",
"10000000000000000000000000000000000",
"00010000000000000000000000000000000",
"00100000000000000000000000000000000",
"00000010000000000000000000000000000",
"00000001000000000000000000000000000",
"00001000000000000000000000000000000",
"00000100000000000000000000000000000",
"00000000000100000000000000000000000",
"00000000000001000000000000000000000",
"00000000000000010000000000000000000",
"00000000100000000000000000000000000",
"00000000000000000010000000000000000",
"00000000010000000000000000000000000",
"00000000000000000000100000000000000",
"00000000001000000000000000000000000",
"00000000000000000000000100000000000",
"00000000000000000000000001000000000",
"00000000000010000000000000000000000",
"00000000000000000000000000001000000",
"00000000000000100000000000000000000",
"26610360005000000010006000000000000",
"62166003000010050000060000000000000",
"00000000000000001000000000000000000",
"00000000000000000000000000000000010",
"00000000000000000100000000000000000",
"21252302352262116504142511432222424",
"51610661560616122463553066033300655",
"00000000000000000001000000000000000",
"45434231464314402416261415522111055",
"56013305613060605613602430132445455",
"02115413031310531230242215250364564",
"44405612255014301130056566146334560",
"00000000000000000000000010000000000",
"53235306513202502451424135056103311"]);

y:=CambridgeMatrix(1,F,35,[
"00100000000000000000000000000000000",
"26600000000000000000000000000000000",
"00001000000000000000000000000000000",
"00000100000000000000000000000000000",
"10601000000000000000000000000000000",
"00000000100000000000000000000000000",
"00000000010000000000000000000000000",
"00000000001000000000000000000000000",
"00000000000010000000000000000000000",
"00000000000000100000000000000000000",
"00000000000000001000000000000000000",
"00000000000000000100000000000000000",
"00010000000000000000000000000000000",
"00000000000000000001000000000000000",
"00000000000000000000010000000000000",
"00000000000000000000001000000000000",
"00000000000000000000000010000000000",
"00000000000000000000000000100000000",
"00000000000000000000000000010000000",
"00000000000000000000000000000100000",
"00000000000000000000000000000010000",
"00000010000000000000000000000000000",
"00000000000000000000000000000001000",
"00000000000000000000000000000000100",
"00000001000000000000000000000000000",
"00000000000000000000000000000000001",
"31561441246243104131342333000525401",
"52665401362454466105130343430204465",
"45304440635423235613055356401643414",
"65546060533554112546212410426025450",
"26255635230465651551523441164515602",
"22005120242565320012423253503342231",
"01532336625050355103464551363134035",
"35304233212501503662203206323260252",
"26635015333621144106052510305520443"]);

G<x,y>:=MatrixGroup<35,F|x,y>;
print "Group G is L3(4):2a < GL(35,GF(7))";