/*
www-ATLAS of Group Representations.
L3(4) 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",
"00000000000000000000000000010000000",
"00000000000000100000000000000000000",
"01060010000000000010006000000000000",
"10601000000010000000060000000000000",
"00000000000000001000000000000000000",
"00000000000000000000000000000000100",
"00000000000000000100000000000000000",
"53650421611026430421345463355411620",
"00000000000000000001000000000000000",
"56414156323002226006526155563154204",
"25551240424210151015656236423151652",
"26321355230610501565210404116466163",
"15623363345535330266432224030630412",
"00000000000000000000000010000000000",
"26550542140504635304145200364231011",
"46662304364223226362502133641462403"]);

y:=CambridgeMatrix(1,F,35,[
"00100000000000000000000000000000000",
"06600000000000000000000000000000000",
"00001000000000000000000000000000000",
"00000100000000000000000000000000000",
"10601000000000000000000000000000000",
"00000000100000000000000000000000000",
"00000000010000000000000000000000000",
"00000000001000000000000000000000000",
"00000000000010000000000000000000000",
"00000000000000100000000000000000000",
"00000000000000001000000000000000000",
"00000000000000000100000000000000000",
"00010000000000000000000000000000000",
"00000000000000000001000000000000000",
"00000000000000000000010000000000000",
"00000000000000000000001000000000000",
"00000000000000000000000010000000000",
"00000010000100600000000000000000000",
"00000000000000000000000000100000000",
"00000000000000000000000000001000000",
"00000000000000000000000000000100000",
"00000010000000000000000000000000000",
"00000000000000000000000000000010000",
"00000000000000000000000000000001000",
"00000001000000000000000000000000000",
"00000000000000000000000000000000010",
"00000000000000000000000000000000001",
"31456621010253503604521201665524342",
"23140036232312333665660356666116542",
"00000010000100000000600000000000000",
"51611542016113124311631111635235121",
"54602240004563056363614231261546121",
"22354131651415341562405604305433533",
"36633506414526516434620631434626225",
"22161163634253556522512432355412506"]);

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