/*
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",
"00000000000000000000000000000000001",
"00000000000000000001000000000000000",
"16665621563241033502625665626545413",
"56231532163651256521615656022332665",
"05100651333444404034631465256636646",
"04205166660121335244042353256620046",
"00000000000000000000000010000000000",
"03213000531244223011153555616626052",
"00000000000000000000000000100000000"]);

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",
"06366510432254532156250656063446624",
"35146463154426333533152631144111644",
"54564431546012040362146642542652221",
"00000010000100000000600000000000000",
"11146633254356426203361521511255114",
"01553065621543546320336612415236503",
"20510611516611151055041552600546353",
"53605502232631446513500551632650456",
"43002500310034660655116303030425462"]);

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