/*
www-ATLAS of Group Representations.
O7(3) represented as 35 x 35 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,35,[
"01000000000000000000000000000000000",
"10000000000000000000000000000000000",
"00010000000000000000000000000000000",
"00100000000000000000000000000000000",
"00000010000000000000000000000000000",
"00000000100000000000000000000000000",
"00001000000000000000000000000000000",
"00000000000100000000000000000000000",
"00000100000000000000000000000000000",
"22222021020100000000000000000000000",
"00000000000000010000000000000000000",
"00000001000000000000000000000000000",
"00000000000000000010000000000000000",
"00000000000000000000100000000000000",
"00000000000000000000001000000000000",
"00000000001000000000000000000000000",
"00000000000000000000000010000000000",
"00000000000000000000000000100000000",
"00000000000010000000000000000000000",
"00000000000000000000000000000100000",
"00000000000001000000000000000000000",
"00000000000020101020021010000000000",
"00000000000000100000000000000000000",
"22110202201200211101002210100100000",
"00000000000000001000000000000000000",
"01111020102110202000011022200020000",
"00000000000000000100000000000000000",
"10220121000010120021022000120110000",
"00000000000000000000000000002000000",
"00000000000000000001000000000000000",
"12001121201210021200012010100010000",
"00000000000000000000000000000002000",
"00220100110120212012121120112001012",
"22110202201210210111020202101012010",
"10222011220211212000022122022121210"]);

y:=CambridgeMatrix(1,F,35,[
"00100000000000000000000000000000000",
"02200000000000000000000000000000000",
"00001000000000000000000000000000000",
"00000100000000000000000000000000000",
"00000001000000000000000000000000000",
"00000000010000000000000000000000000",
"00000000001000000000000000000000000",
"00000000000010000000000000000000000",
"00000000000001000000000000000000000",
"00000000000000100000000000000000000",
"00000000000000001000000000000000000",
"00000000000000000100000000000000000",
"00000000000000000001000000000000000",
"00000000000000000000010000000000000",
"00000000000000000000000100000000000",
"00000100100001000000100000000000000",
"00000000000000000000000001000000000",
"00000000000000000000000000010000000",
"00000000000000000000000000001000000",
"12102001000020000001000000000000000",
"00000000000002000000200000000000000",
"00000000000000000000000000000010000",
"00000000000000000000000000000001000",
"00000000000000000000000000000000100",
"00000000000000000000000000000000010",
"22222220201010211102002110100200000",
"02002100210002201210122022020000020",
"10112112000222120200220001000010000",
"00000000000000000000000000000000001",
"20202122221111220121010200122002221",
"01110220022112020122202122221020212",
"02021020110012122220221000010000012",
"12112111000012002112200021222210121",
"00210020211111101001111112121112020",
"11020002111021112202212110012021212"]);

G<x,y>:=MatrixGroup<35,F|x,y>;
print "Group G is O7(3) < GL(35,GF(3))";