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# numericalIrreducibleDecomposition(...,Verbose=>...) -- option to specify whether additional output is wanted

- Usage:
    `numericalIrreducibleDecomposition(...,Verbose=>Boolean)`

## Description

The value of the Verbose option (by default set to false) is passed to the methods cascade and factorWitnessSet.

The output file of phc contains timings for all stages in the numerical irreducible decomposition.

## Functions with optional argument named Verbose:

- cascade(...,Verbose=>...) -- option to specify whether additional output is wanted
- `check(...,Verbose=>...)` -- see check -- perform tests of a package
- constructEmbedding(...,Verbose=>...) -- option to specify whether additional output is wanted
- `copyDirectory(...,Verbose=>...)` -- see copyDirectory(String,String)
- `copyFile(...,Verbose=>...)` -- see copyFile(String,String)
- factorWitnessSet(...,Verbose=>...) -- option to specify whether additional output is wanted
- `findProgram(...,Verbose=>...)` -- see findProgram -- load external program
- `installPackage(...,Verbose=>...)` -- see installPackage -- load and install a package and its documentation
- isWitnessSetMember(...,Verbose=>...) -- option to specify whether additional output is wanted
- mixedVolume(...,Verbose=>...) -- option to specify whether additional output is wanted
- `moveFile(...,Verbose=>...)` -- see moveFile(String,String)
- numericalIrreducibleDecomposition(...,Verbose=>...) -- option to specify whether additional output is wanted
- refineSolutions(...,Verbose=>...) -- option to specify whether additional output is wanted
- `runProgram(...,Verbose=>...)` -- see runProgram -- run an external program
- solveRationalSystem(...,Verbose=>...) -- option to specify whether additional output is wanted
- solveSystem(...,Verbose=>...) -- option to specify whether additional output is wanted
- `symlinkDirectory(...,Verbose=>...)` -- see symlinkDirectory(String,String) -- make symbolic links for all files in a directory tree
- topWitnessSet(...,Verbose=>...) -- option to specify whether additional output is wanted
- trackPaths(...,Verbose=>...) -- option to specify whether additional output is wanted
- versionNumber(...,Verbose=>...) -- option to print the output of phc --version to screen

## Further information

- Default value: false
- Function: numericalIrreducibleDecomposition -- finds the irreducible components of the zero set of a system of polynomials
- Option key: Verbose -- an optional argument

The source of this document is in /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/PHCpack/PHCpackDoc.m2:266:0.