/*
www-ATLAS of Group Representations.
S8(2) represented as 35 x 35 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,35,[
"01000000000000000000000000000000000",
"10000000000000000000000000000000000",
"00010000000000000000000000000000000",
"00100000000000000000000000000000000",
"00000010000000000000000000000000000",
"00000000100000000000000000000000000",
"00001000000000000000000000000000000",
"00000000000100000000000000000000000",
"00000100000000000000000000000000000",
"00000000000001000000000000000000000",
"00000000000000010000000000000000000",
"00000001000000000000000000000000000",
"00000000000000000010000000000000000",
"00000000010000000000000000000000000",
"00000000000000000000010000000000000",
"00000000001000000000000000000000000",
"00000000000000000000000010000000000",
"00000000000000000000000000100000000",
"00000000000010000000000000000000000",
"00000000000000000000000000000100000",
"00000000000000000000000000000001000",
"00000000000000100000000000000000000",
"00000000000000000000000000000000001",
"22421414646364166444313004642534031",
"00000000000000001000000000000000000",
"51641601623636656116154464623502102",
"00000000000000000100000000000000000",
"46501034605324164306312225425302401",
"62563030241032452600663304155305605",
"00000000000000000001000000000000000",
"12224221062602253166065001055222315",
"00000000000000000000100000000000000",
"10112311502660232656066613364225522",
"13565213061443231402151263152550563",
"00000000000000000000001000000000000"]);

y:=CambridgeMatrix(1,F,35,[
"63000000000000000000000000000000000",
"00100000000000000000000000000000000",
"00001000000000000000000000000000000",
"00000100000000000000000000000000000",
"00000001000000000000000000000000000",
"00000000010000000000000000000000000",
"00000000001000000000000000000000000",
"36106001000000000000000000000000000",
"00000000000010000000000000000000000",
"00000000000000100000000000000000000",
"00000000000000001000000000000000000",
"00000000000000000100000000000000000",
"00000000000000000001000000000000000",
"00000000000000000000100000000000000",
"00000000000000000000001000000000000",
"00000000000000000000000100000000000",
"00000000000000000000000001000000000",
"00000000000000000000000000010000000",
"00000000000000000000000000001000000",
"00000000000000000000000000000010000",
"00000000000000000000000000000000100",
"00000000000000000000000000000000010",
"00010000000000000000000000000000000",
"41025436011665654063632302510416342",
"05063014244045415565640346642200261",
"66161562642244436235606101546621642",
"36020033434255123040531660131244524",
"01143060324606113606206340304325556",
"50631656534610513663043222622214416",
"55505416301445115603465101166204065",
"10560411055030014611643310116516026",
"46530044142265604552422112654146005",
"44334413125045556311404622144516361",
"60000361604236653354563412512243656",
"41000000100000060000000000100000000"]);

G<x,y>:=MatrixGroup<35,F|x,y>;
print "Group G is S8(2) < GL(35,GF(7))";