An instance of this class represents a subfield of the field $PK$ of functions on $PX(a)$ generated by the functions $w$ and $z$
Field: stabiliser::listThe list of elements of the group $G_{16}$ that act as the identity on this subfield
Field: generating_sets::listA list of generating sets for the subfield
Field: conversion_rules::tableIn the $(i,j)$ slot this should have a list of equations expressing the elements of generating set $i$ in terms of generating set $j$. The $(i,i)$ slots can be left unset.
Method: check_stabiliser()