  We show that the Lee-Pomeransky parametric representation of Feynman
integrals can be understood as a solution of a certain
Gel'fand-Kapranov-Zelevinsky (GKZ) system. In order to define such GKZ system,
we consider the polynomial obtained from the Symanzik polynomials
$g=\mathcal{U}+\mathcal{F}$ as having indeterminate coefficients. Noncompact
integration cycles can be determined from the coamoeba---the argument
mapping---of the algebraic variety associated with $g$. In general, we add a
deformation to $g$ in order to define integrals of generic graphs as linear
combinations of their canonical series. We evaluate several Feynman integrals
with arbitrary non-integer powers in the propagators using the canonical series
algorithm.
