The attached patches implement a partial rewrite of ntl.GF2X to reflect the design decisions made for the ntl interface.

This patch depends on #898 to be applied. Then apply the attached patches in order as they are numbered.

Component: basic arithmetic

Issue created by migration from https://trac.sagemath.org/ticket/966