/*
Realisation of the presentation in L232d5P2 as 10 x 10 matrices over GF(2).
These are (2,5,5;33)-generators.
Generators are x and y and the symplectic form is B.
*/

F:=FiniteField(2);

x:=CambridgeMatrix(1,F,10,[
"1000000000",
"0010000000",
"0100000000",
"0000010000",
"0000000100",
"0001000000",
"0000000001",
"0000100000",
"1000100110",
"0000001000"]);

y:=CambridgeMatrix(1,F,10,[
"0100000000",
"0001000000",
"0000100000",
"0000001000",
"1101011000",
"0000000010",
"1101001000",
"0011111110",
"0001011001",
"1110000010"]);

G<x,y>:=MatrixGroup<10,F|x,y>;

B:=CambridgeMatrix(1,F,10,[
"0001011011",
"0000011111",
"0001101001",
"1010010010",
"0010001001",
"1101000000",
"1110100111",
"0100001001",
"1101001000",
"1110101100"]);