Polytope 3827
Image of polytope 3827 PALP id: 3827
grdb id: 112423
Integer points: [ 1 0 0 0 1 0 -2 -2 -4 -1 -2 -3 0 -1 -2 -3 -1 -1 1 0 -1]
[ 0 1 -1 0 2 2 -1 -2 -2 1 0 -1 1 0 -1 -2 -1 0 1 0 -1]
[ 0 0 0 1 2 1 -2 -1 -3 0 -1 -2 1 0 -1 -2 0 -1 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
40 rank 2, number 10 x*y2*z2 + 2*x*y*z + y2*z + 4*y*z + x + y + z + 4*x-1*y + y-1 + 7*x-1 + 2*x-1*z-1 + 2*x-1*y-1 + 3*x-1*y-1*z-1 + 6*x-2*z-1 + 6*x-2*y-1*z-1 + x-2*y-1*z-2 + x-2*y-2*z-1 + 4*x-3*y-1*z-2 + 2*x-3*y-2*z-2 + x-4*y-2*z-3
20 rank 1, V16 x*y2*z2 + 2*x*y*z + y2*z + 4*y*z + x + y + z + 4*x-1*y + y-1 + 7*x-1 + 2*x-1*z-1 + 2*x-1*y-1 + 2*x-1*y-1*z-1 + 6*x-2*z-1 + 6*x-2*y-1*z-1 + x-2*y-1*z-2 + x-2*y-2*z-1 + 4*x-3*y-1*z-2 + 2*x-3*y-2*z-2 + x-4*y-2*z-3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 2 irreducible and admissible
Image of facet 11 2 Lattice Minkowski decompositions of facet 11
Image of facet 180 1 Lattice Minkowski decompositions of facet 180
Image of facet 59 1 Lattice Minkowski decompositions of facet 59
Image of facet 23 1 Lattice Minkowski decompositions of facet 23
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