  We introduce a family of ZX-calculi which axiomatise the stabiliser fragment
of quantum theory in odd prime dimensions. These calculi recover many of the
nice features of the qubit ZX-calculus which were lost in previous proposals
for higher-dimensional systems. We then prove that these calculi are complete,
i.e. provide a set of rewrite rules which can be used to prove any equality of
stabiliser quantum operations. Adding a discard construction, we obtain a
calculus complete for mixed state stabiliser quantum mechanics in odd prime
dimensions, and this furthermore gives a complete axiomatisation for the
related diagrammatic language for affine co-isotropic relations.
