Polytope 3631
Image of polytope 3631 PALP id: 3631
grdb id: 306039
Integer points: [ 1 0 0 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0]
[ 0 1 0 2 -3 -2 1 -4 1 0 -1 0 -1 -2 -3 1 0 -1 -1 -2]
[ 0 0 1 2 -2 -2 2 -3 1 0 -1 1 0 -1 -2 1 0 -1 0 -1]
Degree: 16
Hilbert function: 1 + 11 t + 45 t2 + 119 t3 + 249 t4 + 451 t5 + 741 t6 + 1135 t7 + 1649 t8 + 2299 t9 + 3101 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
62 rank 2, number 9 x-1*y2*z2 + 2*y*z + x-1*y*z2 + x + y + z + 4*x-1*y*z + 5*x-1*z + 3*y-1 + 6*x-1 + y-1*z-1 + 10*x-1*y-1 + 3*y-2*z-1 + 4*x-1*y-1*z-1 + 10*x-1*y-2*z-1 + y-3*z-2 + x-1*y-2*z-2 + 5*x-1*y-3*z-2 + x-1*y-4*z-3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 1 irreducible and admissible
Image of facet 146 1 Lattice Minkowski decompositions of facet 146
Image of facet 9 1 irreducible and admissible
Image of facet 10 1 Lattice Minkowski decompositions of facet 10
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
Image of facet 13 1 irreducible and admissible
Image of facet 157 1 Lattice Minkowski decompositions of facet 157
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