Other Alias

poly-<num>d.x## SYNOPSIS

**poly.x**[

*-<Option-string>*] [

*in-file*[

*out-file*]]

## DESCRIPTION

Computes data of a polytope PThe poly-<num>d.x variant programs, where <num> is one of 4, 5, 6 and 11 work in different dimensions ; poly.x defaults to dimension 6.

## Options (concatenate any number of them into <Option-string>):

- h print this information
- f use as filter
- g general output ; for P reflexive: numbers of (dual) points/vertices, Hodge numbers and if P is not reflexive: numbers of points, vertices, equations

p points of P

- v vertices of P
- e equations of P/vertices of P-dual
- m pairing matrix between vertices and equations
- d points of P-dual (only if P reflexive)
- a all of the above except h,f
- l LG-`Hodge numbers' from single weight input
- r ignore non-reflexive input
- D dual polytope as input (ref only)
- n do not complete polytope or calculate Hodge numbers
- i incidence information
- s check for span property (only if P from CWS)
- I check for IP property
- S number of symmetries
- T upper triangular form
- N normal form
- t traced normal form computation
- V IP simplices among vertices of P*
- P IP simplices among points of P* (with 1<=codim<=# when # is set)
- Z lattice quotients for IP simplices
- # #=1,2,3 fibers spanned by IP simplices with codim<=#
- ## ##=11,22,33,(12,23): all (fibered) fibers with specified codim(s)
- when combined: ### = (##)#
- A affine normal form
- B Barycenter and lattice volume [# ... points at deg #]
- F print all facets
- G Gorenstein: divisible by I>1
- L like 'l' with Hodge data for twisted sectors
- U simplicial facets in N-lattice
- U1 Fano (simplicial and unimodular facets in N-lattice)
- U5 5d fano from reflexive 4d projections (M lattice)
- C1 conifold CY (unimodular or square 2-faces)
- C2 conifold FANO (divisible by 2 & basic 2 faces)
- E symmetries related to Einstein-Kaehler Metrics