# twoMonomials -- tally the sequences of BRanks for certain examples

## Synopsis

• Usage:
T = TwoMonomials(c,d)
• Inputs:
• c, an integer, codimension in which to work
• d, an integer, degree of the monomials to take
• Optional inputs:
• Optimism => ..., default value 0
• Outputs:
• T, ,

## Description

tallies the sequences of B-ranks that occur for ideals generated by pairs of monomials in R = S/(d-th powers of the variables), with full complexity (=c); that is, for an appropriate syzygy M of M0 = R/(m1, m2) where m1 and m2 are monomials of the same degree.

 i1 : setRandomSeed 0 o1 = 0 i2 : twoMonomials(2,3) -- used 1.15185 seconds 2 Tally{{{1, 1}} => 2 } {{2, 2}, {1, 2}} => 4 -- used 0.677315 seconds 3 Tally{{{2, 2}, {1, 2}} => 2} {{3, 3}, {2, 3}} => 1 -- used 0.218572 seconds 4 Tally{{{2, 2}, {1, 2}} => 1}