Polytope 4142
Image of polytope 4142 PALP id: 4142
grdb id: 560035
Integer points: [ 1 1 0 0 -1 -1 1 1 -1 -1 -1 0 -1 0 -1 0 1 -1 0 0 -1 0 1 0]
[ 0 2 0 2 -1 1 -1 1 -3 -1 0 1 0 1 -1 0 1 -2 -1 0 -2 -1 0 -2]
[ 0 0 1 1 1 1 -1 -1 -1 -1 1 1 0 0 0 0 0 0 0 -1 -1 -1 -1 -1]
Degree: 10
Hilbert function: 1 + 8 t + 30 t2 + 77 t3 + 159 t4 + 286 t5 + 468 t6 + 715 t7 + 1037 t8 + 1444 t9 + 1946 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
9 rank 1, V10 x*y2 + y2*z + 2*x*y + 2*y*z + x*y*z-1 + x + 3*y + z + x-1*y*z + 2*x*z-1 + 2*x-1*z + x*y-1*z-1 + 2*z-1 + 3*y-1 + 2*x-1 + x-1*y-1*z + 4*y-1*z-1 + 4*x-1*y-1 + 2*y-2*z-1 + x-1*y-1*z-1 + 2*x-1*y-2 + 2*x-1*y-2*z-1 + x-1*y-3*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 36 2 Lattice Minkowski decompositions of facet 36
Image of facet 30 2 Lattice Minkowski decompositions of facet 30
Image of facet 15 3 Lattice Minkowski decompositions of facet 15
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