Optimism -- Option to highSyzygy

If highSyzygy(M) chooses the p-th syzygy, then highSyzygy(M,Optimism=>r) chooses the (p-r)-th syzygy. (Positive Optimism chooses a lower "high" syzygy, negative Optimism a higher "high" syzygy.

Are there cases when positive Optimism is justified?

Functions with optional argument named Optimism:

• highSyzygy(...,Optimism=>...) -- see highSyzygy -- Returns a syzygy module one beyond the regularity of Ext(M,k)
• twoMonomials(...,Optimism=>...) -- see twoMonomials -- tally the sequences of BRanks for certain examples