/*
www-ATLAS of Group Representations.
S7 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",
"00000000000000100000000000000000000",
"00000000000000001000000000000000000",
"00000001000000000000000000000000000",
"00000000000000000001000000000000000",
"00000000000000000000100000000000000",
"00000000010000000000000000000000000",
"00000000000000000000000100000000000",
"00000000001000000000000000000000000",
"00000000000000000000000000100000000",
"00000000000000000000000000001000000",
"00000000000010000000000000000000000",
"00000000000001000000000000000000000",
"00000000000000000000000000000000100",
"00000000000000000000000000000000001",
"00000000000000010000000000000000000",
"44506104465334115665224102123234512",
"43253440364014103146305001603000002",
"00000000000000000100000000000000000",
"23656334125300543105263623643316156",
"00000000000000000010000000000000000",
"12531235651204231503051346266025233",
"56151424255311220233205631515162045",
"61345525224256503622165000105001102",
"00000000000000000000010000000000000",
"60116223060454104401451515355543200",
"00000000000000000000001000000000000"]);

y:=CambridgeMatrix(1,F,35,[
"56000000000000000000000000000000000",
"00100000000000000000000000000000000",
"00001000000000000000000000000000000",
"00000100000000000000000000000000000",
"00000001000000000000000000000000000",
"00000000010000000000000000000000000",
"00000000001000000000000000000000000",
"00000000000010000000000000000000000",
"00000000000001000000000000000000000",
"00000000000000010000000000000000000",
"00000000000000000100000000000000000",
"00000000000000000010000000000000000",
"04501003000020000000000000000000000",
"00000000000000000000010000000000000",
"00000000000000000000001000000000000",
"00000000000000000000000010000000000",
"00000000000000000000000001000000000",
"00000000000000000000000000010000000",
"00000000000000000000000000000100000",
"00000000000000000000000000000010000",
"00000000000000000000000000000001000",
"00000000000000000000000000000000010",
"33103155213051245406634664101106424",
"25225552541210161630534244632504616",
"45620505456225631241611152445045155",
"65256546332503145363636062153262245",
"44020451403106323411565246560116545",
"46505621464362350411115161156524115",
"01266666005246324333346560601250214",
"64560066633442245615442031010405241",
"12226352415664600610013554521322404",
"21606515160364361030223150010105302",
"31041525534521012466103643250401523",
"01042211315221243004104622050440301",
"43405256410210246145502325052600343"]);

G<x,y>:=MatrixGroup<35,F|x,y>;
print "Group G is S7 < GL(35,GF(7))";