/* presentation on standard generators for HS.2 */

PresentationHSAutm := function (G : UserGenerators := [], Projective := false)
   Fct := Projective select ProjectiveOrder else Order;
   if #UserGenerators eq 0 then 
      UserGenerators := [G.i : i in [1..Ngens (G)]];
   end if;
   if #UserGenerators ne 2 then "Require 2 user generators"; 
                           return false; end if;
   c := UserGenerators[1]; d := UserGenerators[2];
   return Fct (c) eq 2 and Fct (d) eq 5 and Fct ((c,d)) eq 3 and Fct ((c,d^2)) eq 4
   and Fct((c*d)^4*c*d^-2*c*d^-1*c*d^-1*c*d^-2) eq 2 and Fct((c,d*c*d*c*d^2*c*d^-2*(c*d^2)^2*c*d^-1)) eq 1
   and Fct ((c,d*c*d*c*d^-2*c*d^-1*(c*d^-2)^3)) eq 1 and Fct ((c,d^-1*c*d^-1*c*d^2*c*d*(c*d^2)^3)) eq 1;
end function;