/*
www-ATLAS of Group Representations.
S7 represented as 35 x 35 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,35,[
"01000000000000000000000000000000000",
"10000000000000000000000000000000000",
"00010000000000000000000000000000000",
"00100000000000000000000000000000000",
"00000010000000000000000000000000000",
"00000000100000000000000000000000000",
"00001000000000000000000000000000000",
"00000000000100000000000000000000000",
"00000100000000000000000000000000000",
"00000000000000100000000000000000000",
"00000000000000001000000000000000000",
"00000001000000000000000000000000000",
"00000000000000000001000000000000000",
"00000000000000000000100000000000000",
"00000000010000000000000000000000000",
"00000000000000000000000100000000000",
"00000000001000000000000000000000000",
"00000000000000000000000000100000000",
"00000000000000000000000000001000000",
"00000000000010000000000000000000000",
"00000000000001000000000000000000000",
"00000000000000000000000000000000100",
"00000000000000000000000000000000001",
"00000000000000010000000000000000000",
"43302314321043131003311403203042314",
"01223012321020240304300220304021230",
"00000000000000000100000000000000000",
"40334424314442030230003131213034322",
"00000000000000000010000000000000000",
"34121122040240402403102243303142413",
"13332443342002232344032131102044023",
"33311330032220114004324024104022031",
"00000000000000000000010000000000000",
"20120032114224203210210243002042320",
"00000000000000000000001000000000000"]);

y:=CambridgeMatrix(1,F,35,[
"34000000000000000000000000000000000",
"00100000000000000000000000000000000",
"00001000000000000000000000000000000",
"00000100000000000000000000000000000",
"00000001000000000000000000000000000",
"00000000010000000000000000000000000",
"00000000001000000000000000000000000",
"00000000000010000000000000000000000",
"00000000000001000000000000000000000",
"00000000000000010000000000000000000",
"00000000000000000100000000000000000",
"00000000000000000010000000000000000",
"32403001000020000000000000000000000",
"00000000000000000000010000000000000",
"00000000000000000000001000000000000",
"00000000000000000000000010000000000",
"00000000000000000000000001000000000",
"00000000000000000000000000010000000",
"00000000000000000000000000000100000",
"00000000000000000000000000000010000",
"00000000000000000000000000000001000",
"00000000000000000000000000000000010",
"24101003231230220134242404420441114",
"10342032242400334001041034303203100",
"12103222430314303431324340112012341",
"20001402004321432242423434123202422",
"42241122320201311011442330424241102",
"02433114131304124300302004312342310",
"02424324042212401023222304434041201",
"40342310313134104003103143320322004",
"44202200400002131200113044313141433",
"24403112110400413034111002030301440",
"00012243022030433030142203331230141",
"13143322423340200140413004240100403",
"33441240430434033122234234133303243"]);

G<x,y>:=MatrixGroup<35,F|x,y>;
print "Group G is S7 < GL(35,GF(5))";