  Development of quantum computation and communication, recently shown to be
supported by contextuality, arguably asks for a requisite supply of contextual
sets. While that has been achieved in even dimensional spaces, in odd
dimensional spaces only a dozen contextual critical Kochen-Specker (KS) sets
have been found so far. In this paper we give three methods for automated
generation of arbitrarily many contextual KS and non-KS sets in any dimension
for possible future application and implementation and we employ them to obtain
millions of KS and other contextual sets in dimensions 3, 5, 7, and 9 where
previously only a handful of sets have been found. Also, no explicit vectors
for the original Kochen-Specker set were known so far, while we now generate
them from 24 vector components.
