/*
Realisation of the presentation in L227P5 as 2 x 2 matrices over GF(27).
The generators below only satisfy the presentation modulo the scalars {1,-1}.
Generators are a, b and c and the symplectic form is B.
*/

F<w>:=FiniteField(27);

G<a,b,c>:=MatrixGroup<2,F|[
1,0,
1,1]
,[
w,0,
0,w^-1]
,[
0,-1,
1,0]
>;

B:=GL(2,F)![
0,1,
1,0];