lexgin -- the generic initial ideal with respect to lexicographical order

• Usage:

  lexgin I

• Inputs:
  • I, an Ideal in a polynomialRing
• Optional inputs:
  • AttemptCount (missing documentation) => ..., default value 7, sets the number of random coordinate changes the routine attempts before choosing the potentialgin .
  • Modular (missing documentation) => ..., default value false, if set to be true, computations are performed modulo a large random prime .
  • Multigraded (missing documentation) => ..., default value false, if true computes the multigraded gin w.r.t. the multigrading of ring I.
  • Verbose (missing documentation) => ..., default value false, provides a summary of the random initial ideals generated and warns if the selected one is not strongly stable.
• Outputs:
  • an Ideal, the generic initial ideal of I.