As a warning, the material herein is EXTREMELY [repetitive, tedious, BORING], but it is a necessary evil to make sure.  

This document should be considered as a "first draft", as there are numerous errors and omissions, and to some degree it is an incomplete coverrage of "background math" for Lucas's Chapter 4.  However, it is important to me as a detailed, step-by-step documentation, that is easily [auditable, editable, extendable], abeit in a specialised non-standard (yet more precise than conventional) system of [variable notations, symbols, notations, format].