1POLY-5D.X(1) User Commands POLY-5D.X(1)
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6 poly-5d.x - manual page for poly-5d.x 2.11
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9 poly-5d.x [-<Option-string>] [in-file [out-file]]
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12 This is 'bin/poly-5d.x': computing data of a polytope P
13 Options (concatenate any number of them into <Option-string>): h print
15 this information f use as filter g general output:
16 P reflexive: numbers of (dual) points/vertices, Hodge numbers P
18 not reflexive: numbers of points, vertices, equations
19 p points of P v vertices of P e equations of P/vertices of P-dual m
21 pairing matrix between vertices and equations d points of P-dual (only
22 if P reflexive) a all of the above except h,f l LG-`Hodge numbers'
23 from single weight input r ignore non-reflexive input D dual polytope
24 as input (ref only) n do not complete polytope or calculate Hodge num‐
25 bers i incidence information s check for span property (only if P
26 from CWS) I check for IP property S number of symmetries T upper
27 triangular form N normal form t traced normal form computation V IP
28 simplices among vertices of P* P IP simplices among points of P* (with
29 1<=codim<=# when # is set) Z lattice quotients for IP simplices #
30 #=1,2,3 fibers spanned by IP simplices with codim<=# ##
31 ##=11,22,33,(12,23): all (fibered) fibers with specified codim(s)
32 when combined: ### = (##)#
34 A affine normal form B Barycenter and lattice volume [# ... points at
36 deg #] F print all facets G Gorenstein: divisible by I>1 L like 'l'
37 with Hodge data for twisted sectors U simplicial facets in N-lattice
38 U1 Fano (simplicial and unimodular facets in N-lattice) U5 5d fano from
39 reflexive 4d projections (M lattice) C1 conifold CY (unimodular or
40 square 2-faces) C2 conifold FANO (divisible by 2 & basic 2 faces) E
41 symmetries related to Einstein-Kaehler Metrics
42 Input: degrees and weights `d1 w11 w12 ... d2 w21 w22 ...'
44 or `d np' or `np d' (d=Dimension, np=#[points]) and
46poly-5d.x 2.11 December 2022 POLY-5D.X(1)