  I present new features of the open-source Python package lips, which
leverages the newly developed pyadic and syngular libraries. These developments
enable the generation and manipulation of massless phase-space configurations
beyond real kinematics, defined in terms of four-momenta or Weyl spinors, not
only over complex numbers ($\mathbb{C}$), but now also over finite fields
($\mathbb{F}_p$) and p-adic numbers ($\mathbb{Q}_p$). The package also offers
tools to evaluate arbitrary spinor-helicity expressions in any of these fields.
Furthermore, using the algebraic-geometry submodule, which utilizes Singular
[1] through the Python interface syngular, one can define and manipulate ideals
in spinor variables, enabling the identification of irreducible surfaces where
scattering amplitudes have well-defined zeros and poles. As an example
application, I demonstrate how to infer valid partial-fraction decompositions
from numerical evaluations.
