Polytope 3774
Image of polytope 3774 PALP id: 3774
grdb id: 446837
Integer points: [ 1 0 0 0 0 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 -1 -1 -1 0 0]
[ 0 1 -1 0 2 -1 4 0 1 2 3 0 1 2 3 -1 0 1 2 0 1]
[ 0 0 0 1 1 -2 3 -1 0 1 2 -1 0 1 2 -1 0 1 2 0 1]
Degree: 20
Hilbert function: 1 + 13 t + 55 t2 + 147 t3 + 309 t4 + 561 t5 + 923 t6 + 1415 t7 + 2057 t8 + 2869 t9 + 3871 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
13 rank 2, number 12 x-2*y4*z3 + 2*x-1*y3*z2 + y2*z + 2*x-1*y2*z2 + 5*x-2*y3*z2 + 2*y*z + 6*x-1*y2*z + x + y + z + 6*x-1*y*z + 10*x-2*y2*z + 6*x-1*y + y-1 + 6*x-1 + 10*x-2*y + 2*x-1*z-1 + 2*x-1*y-1*z-1 + 5*x-2*z-1 + x-2*y-1*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 2 irreducible and admissible
Image of facet 1 2 irreducible and admissible
Image of facet 22 1 Lattice Minkowski decompositions of facet 22
Image of facet 129 2 Lattice Minkowski decompositions of facet 129
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