Polytope 3782
Image of polytope 3782 PALP id: 3782
grdb id: 445152
Integer points: [ 1 0 0 0 0 -2 -2 0 0 -1 -1 -1 -1 -2 -2 0 0 0 -1 -1 -1]
[ 0 1 0 1 -2 -1 -4 0 -1 0 -1 -2 -3 -2 -3 1 0 -1 0 -1 -2]
[ 0 0 1 -2 1 0 3 -1 0 -1 0 1 2 1 2 -1 0 1 0 1 2]
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
20 rank 1, V16 x + y + z + 2*y*z-1 + 2*y-1*z + y*z-2 + 3*z-1 + 3*y-1 + 2*x-1 + y-2*z + 4*x-1*y-1*z + 2*x-1*y-2*z2 + 2*x-1*z-1 + 6*x-1*y-1 + 6*x-1*y-2*z + 2*x-1*y-3*z2 + x-2*y-1 + 3*x-2*y-2*z + 3*x-2*y-3*z2 + x-2*y-4*z3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 35 1 Lattice Minkowski decompositions of facet 35
Image of facet 22 1 Lattice Minkowski decompositions of facet 22
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 9 1 irreducible and admissible
Image of facet 125 1 Lattice Minkowski decompositions of facet 125
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