/*
www-ATLAS of Group Representations.
L3(4):2a represented as 35 x 35 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,35,[
"40000000000000000000000000000000000",
"00100000000000000000000000000000000",
"01000000000000000000000000000000000",
"00001000000000000000000000000000000",
"00010000000000000000000000000000000",
"00000001000000000000000000000000000",
"00000000010000000000000000000000000",
"00000100000000000000000000000000000",
"00000000000010000000000000000000000",
"00000010000000000000000000000000000",
"00000000000000100000000000000000000",
"00000000000000001000000000000000000",
"00000000100000000000000000000000000",
"00000000000000000001000000000000000",
"00000000001000000000000000000000000",
"00000000000000000000001000000000000",
"00000000000100000000000000000000000",
"00000000000000000000000010000000000",
"00000000000000000000000000100000000",
"00000000000001000000000000000000000",
"00000000000000000000000000001000000",
"00000000000000000000000000000010000",
"00000000000000010000000000000000000",
"00000000000000000000000000000000010",
"00000000000000000100000000000000000",
"40142021132033203323303313132112321",
"00000000000000000010000000000000000",
"03131034220441103323332233032413134",
"00000000000000000000100000000000000",
"22222103303432313412401023121043004",
"00000000000000000000010000000000000",
"00032401403112204113210140403041340",
"00000000000000000000000000000000400",
"00000000000000000000000100000000000",
"03241020233434211041234100103020041"]);

y:=CambridgeMatrix(1,F,35,[
"01000000000000000000000000000000000",
"40000000000000000000000000000000000",
"00010000000000000000000000000000000",
"00000100000000000000000000000000000",
"00000010000000000000000000000000000",
"00000000100000000000000000000000000",
"00000000001000000000000000000000000",
"00000000000100000000000000000000000",
"00100000000000000000000000000000000",
"00000000000001000000000000000000000",
"00000000000000010000000000000000000",
"00000000000000000100000000000000000",
"00000000000000000010000000000000000",
"00000000000000000000100000000000000",
"00000000000000000000010000000000000",
"00001000000000000000000000000000000",
"00000000000000000000000100000000000",
"00000000000000000000000001000000000",
"00000000000000000000000000010000000",
"00000000000010000000000000000000000",
"00000000000000000000000000000100000",
"00000000000000000000000000000001000",
"00000000000000000000000000000000100",
"00000000000000000000000000000000001",
"03312222143300341041432101041130111",
"00000001000000000000000000000000000",
"24401322200402202443230430100033201",
"00000000000000000001000000000000000",
"03443122410222200034343434300243130",
"00000000010000000000000000000000000",
"02032134101404330033124133210340412",
"42242034300002413423140323123142211",
"40042032321312424003303413324023433",
"24420233002324242400010230331320314",
"21244044343024200432230423103444214"]);

G<x,y>:=MatrixGroup<35,F|x,y>;
print "Group G is L3(4):2a < GL(35,GF(5))";