I do have code in mpmath that does the main part of what i do, except soling a semidefinite programming in arbitrary precision.
For that, i might be able to use SDPA-GMP, a C++ piece of software that solves a SDP in arbitrary precision using GMP as base arbitrary precision library.
Do you know if there are possibilities to call this from python ? On the over hand, is there somewhere a converter that passed from mpmath objcts to gmp ?