Polytope 3794
Image of polytope 3794 PALP id: 3794
grdb id: 292940
Integer points: [ 1 0 0 0 0 1 -2 -2 -1 -2 -1 0 -1 -1 0 -1 0 1 -1 0 0]
[ 0 1 1 -1 -1 -2 1 1 0 1 0 -1 0 1 0 1 0 -1 1 0 1]
[ 0 0 2 0 -2 -2 2 0 1 1 0 -1 -1 2 1 1 0 -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
22 rank 3, number 1 y*z2 + 2*y*z + 2*x-1*y*z2 + x + y + 2*z + 4*x-1*y*z + x-2*y*z2 + 2*x-1*y + 2*x-1*z + 2*x-2*y*z + 2*x*y-1*z-1 + 2*z-1 + y-1 + 5*x-1 + x-2*y + 4*y-1*z-1 + 2*x-1*z-1 + x*y-2*z-2 + y-1*z-2
7 rank 1, V12 y*z2 + 2*y*z + 2*x-1*y*z2 + x + y + 2*z + 4*x-1*y*z + x-2*y*z2 + 2*x-1*y + 2*x-1*z + 2*x-2*y*z + 2*x*y-1*z-1 + 2*z-1 + y-1 + 4*x-1 + x-2*y + 3*y-1*z-1 + 2*x-1*z-1 + x*y-2*z-2 + y-1*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 2 Lattice Minkowski decompositions of facet 16
Image of facet 1 1 irreducible and admissible
Image of facet 15 2 Lattice Minkowski decompositions of facet 15
Image of facet 36 1 Lattice Minkowski decompositions of facet 36
Image of facet 81 1 Lattice Minkowski decompositions of facet 81
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