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

SEE ALSO

       A complete manual is available here : http://arxiv.org/abs/1205.4147