- InitialIdeal -- use the initial ideal in_{(-w,w)} Ann f^s; this Strategy is the fastest on many examples, but can not be used with the Exponent option.
- StarIdeal -- use ``star ideal'', the (-w,w) homogeneous elements of the Ann f^s
See
Berkesch and Leykin ``Algorithms for Bernstein-Sato polynomials and multiplier ideals''.