.TH POLY.X "1" "May 2012" "poly.x (palp) 2.1" "User Commands" .SH NAME poly.x, poly-d.x \- computes data of a polytope .SH SYNOPSIS .B poly.x [\fI-\fR] [\fIin-file \fR[\fIout-file\fR]] .SH DESCRIPTION Computes data of a polytope P The poly-d.x variant programs, where is one of 4, 5, 6 and 11 work in different dimensions ; poly.x defaults to dimension 6. .SS Options (concatenate any number of them into ): .HP h print this information .IP .HP f use as filter .IP .HP g general output ; for P reflexive: numbers of (dual) points/vertices, Hodge numbers and if P is not reflexive: numbers of points, vertices, equations .IP .PP p points of P .IP .HP v vertices of P .IP .HP e equations of P/vertices of P\-dual .IP .HP m pairing matrix between vertices and equations .IP .HP d points of P\-dual (only if P reflexive) .IP .HP a all of the above except h,f .IP .HP l LG\-`Hodge numbers' from single weight input .IP .HP r ignore non\-reflexive input .IP .HP D dual polytope as input (ref only) .IP .HP n do not complete polytope or calculate Hodge numbers .IP .HP i incidence information .IP .HP s check for span property (only if P from CWS) .IP .HP I check for IP property .IP .HP S number of symmetries .IP .HP T upper triangular form .IP .HP N normal form .IP .HP t traced normal form computation .IP .HP V IP simplices among vertices of P* .IP .HP P IP simplices among points of P* (with 1<=codim<=# when # is set) .IP .HP Z lattice quotients for IP simplices .IP .HP # #=1,2,3 fibers spanned by IP simplices with codim<=# .IP .HP ## ##=11,22,33,(12,23): all (fibered) fibers with specified codim(s) when combined: ### = (##)# .IP .HP A affine normal form .IP .HP B Barycenter and lattice volume [# ... points at deg #] .IP .HP F print all facets .IP .HP G Gorenstein: divisible by I>1 .IP .HP L like 'l' with Hodge data for twisted sectors .IP .HP U simplicial facets in N\-lattice .IP .HP U1 Fano (simplicial and unimodular facets in N\-lattice) .IP .HP U5 5d fano from reflexive 4d projections (M lattice) .IP .HP C1 conifold CY (unimodular or square 2\-faces) .IP .HP C2 conifold FANO (divisible by 2 & basic 2 faces) .IP .HP E symmetries related to Einstein\-Kaehler Metrics .SS 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 .SS Output as specified by options .SH SEE ALSO A complete manual is available here : http://arxiv.org/abs/1205.4147