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

## Synopsis

• Usage:
lexgin I
• Inputs:
• 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.

## Description

Same as gin with MonomiaOrder => Lex

This symbol is provided by the package GenericInitialIdeal.