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This is the command poly.x that can be run in the OnWorks free hosting provider using one of our multiple free online workstations such as Ubuntu Online, Fedora Online, Windows online emulator or MAC OS online emulator

PROGRAM:

NAME


poly.x, poly-<num>d.x - computes data of a polytope

SYNOPSIS


poly.x [-<Option-string>] [in-file [out-file]]

DESCRIPTION


Computes data of a polytope P

The 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

Input
degrees and weights `d1 w11 w12 ... d2 w21 w22 ...' or `d np' or `np d' (d=Dimension,
np=#[points]) and (after newline) np*d coordinates

Output
as specified by options

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