Polytope 3790
Image of polytope 3790 PALP id: 3790
grdb id: 294031
Integer points: [ 1 0 1 -1 0 0 -1 -1 -1 -1 -1 0 0 0 -1 -1 -1 0 0 0 1]
[ 0 1 0 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0]
[ 0 0 2 -1 2 -2 1 -3 0 -1 -2 1 0 -1 0 -1 -2 1 0 -1 1]
Degree: 12
Hilbert function: 1 + 9 t + 35 t2 + 91 t3 + 189 t4 + 341 t5 + 559 t6 + 855 t7 + 1241 t8 + 1729 t9 + 2331 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
7 rank 1, V12 x*z2 + 2*x*z + x + y + 2*z + y-1*z2 + 4*y-1*z + 3*z-1 + x-1*y*z-1 + 6*y-1 + 2*x-1 + x-1*y-1*z + 4*y-1*z-1 + 4*x-1*z-1 + 4*x-1*y-1 + y-1*z-2 + 2*x-1*z-2 + 6*x-1*y-1*z-1 + 4*x-1*y-1*z-2 + x-1*y-1*z-3
7 rank 1, V12 x*z2 + 2*x*z + x + y + 3*z + y-1*z2 + 4*y-1*z + 2*z-1 + x-1*y*z-1 + 6*y-1 + 2*x-1 + x-1*y-1*z + 4*y-1*z-1 + 4*x-1*z-1 + 4*x-1*y-1 + y-1*z-2 + 2*x-1*z-2 + 6*x-1*y-1*z-1 + 4*x-1*y-1*z-2 + x-1*y-1*z-3
11 rank 2, number 6 x*z2 + 2*x*z + x + y + 2*z + y-1*z2 + 4*y-1*z + 2*z-1 + x-1*y*z-1 + 6*y-1 + 2*x-1 + x-1*y-1*z + 4*y-1*z-1 + 4*x-1*z-1 + 4*x-1*y-1 + y-1*z-2 + 2*x-1*z-2 + 6*x-1*y-1*z-1 + 4*x-1*y-1*z-2 + x-1*y-1*z-3
22 rank 3, number 1 x*z2 + 2*x*z + x + y + 3*z + y-1*z2 + 4*y-1*z + 3*z-1 + x-1*y*z-1 + 6*y-1 + 2*x-1 + x-1*y-1*z + 4*y-1*z-1 + 4*x-1*z-1 + 4*x-1*y-1 + y-1*z-2 + 2*x-1*z-2 + 6*x-1*y-1*z-1 + 4*x-1*y-1*z-2 + x-1*y-1*z-3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
Image of facet 1 1 irreducible and admissible
Image of facet 59 1 Lattice Minkowski decompositions of facet 59
Image of facet 134 1 Lattice Minkowski decompositions of facet 134
Image of facet 23 2 Lattice Minkowski decompositions of facet 23
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