/*
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",
"23120550004000000010006000000000000",
"32215005000010040000060000000000000",
"00000000000000001000000000000000000",
"00000000000000000000000000000000010",
"00000000000000000100000000000000000",
"51134126610413433446351031504142456",
"46560253603513522051050245235504446",
"00000000000000000001000000000000000",
"54544356301224145320465354413241546",
"64245435456145300114563366425002623",
"61512241516046411001631110455456241",
"62050054414003121520115130210653462",
"00000000000000000000000010000000000",
"61366303266411655653314302423451622"]);

y:=CambridgeMatrix(1,F,35,[
"00100000000000000000000000000000000",
"36600000000000000000000000000000000",
"00001000000000000000000000000000000",
"00000100000000000000000000000000000",
"10601000000000000000000000000000000",
"00000000100000000000000000000000000",
"00000000010000000000000000000000000",
"00000000001000000000000000000000000",
"00000000000010000000000000000000000",
"00000000000000100000000000000000000",
"00000000000000001000000000000000000",
"00000000000000000100000000000000000",
"00010000000000000000000000000000000",
"00000000000000000001000000000000000",
"00000000000000000000010000000000000",
"00000000000000000000001000000000000",
"00000000000000000000000010000000000",
"00000000000000000000000000100000000",
"00000000000000000000000000010000000",
"00000000000000000000000000000100000",
"00000000000000000000000000000010000",
"00000010000000000000000000000000000",
"00000000000000000000000000000001000",
"00000000000000000000000000000000100",
"00000001000000000000000000000000000",
"00000000000000000000000000000000001",
"56353645456310425565461521454562133",
"21251105026204604265366516054623401",
"16653561442253344336603524561451414",
"03444625031265503304405265612164010",
"55166243556401602460253433503453315",
"62232262434143411304135261346023454",
"62452233514106632033301615114242546",
"44623053041243241505422522663420226",
"63652133141420153006546342044451333"]);

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