/*
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",
"55660660006000000060006000000000000",
"55666006000060060000060000000000000",
"00000000000000001000000000000000000",
"00000000000000000000000000000000100",
"00000000000000000100000000000000000",
"61106150305006565023241546540461000",
"00000000000000000001000000000000000",
"65224140334141600632605550055132305",
"16002366610320051633225030143120402",
"14531221140320060500520501004142105",
"40501305411205111334330336036514204",
"00000000000000000000000010000000000",
"30364521540304550440540311001264113",
"12216344654562554406511210411655504"]);

y:=CambridgeMatrix(1,F,35,[
"11000000000000000000000000000000000",
"00100000000000000000000000000000000",
"00001000000000000000000000000000000",
"00000100000000000000000000000000000",
"06606000000000000000000000000000000",
"00000000100000000000000000000000000",
"00000000010000000000000000000000000",
"00000000001000000000000000000000000",
"00000000000010000000000000000000000",
"00000000000000100000000000000000000",
"00000000000000001000000000000000000",
"00000000000000000100000000000000000",
"00010000000000000000000000000000000",
"00000000000000000001000000000000000",
"00000000000000000000010000000000000",
"00000000000000000000001000000000000",
"00000000000000000000000010000000000",
"66606000600000600000100000000000000",
"00000000000000000000000000100000000",
"00000000000000000000000000001000000",
"00000000000000000000000000000100000",
"00000010000000000000000000000000000",
"00000000000000000000000000000010000",
"00000000000000000000000000000001000",
"00000001000000000000000000000000000",
"00000000000000000000000000000000010",
"00000000000000000000000000000000001",
"63243440043436322201626341163254262",
"54143145564045432535256610222061506",
"11010010000100000000000000000000000",
"45652333105266214212260650440121303",
"23165400210500460433546440033004403",
"26264220466156261155366261015265064",
"31064635065134332264452041352010201",
"24020401662233636051440560561102103"]);

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