Polytope 4297
Image of polytope 4297 PALP id: 4297
grdb id: 520329
Integer points: [ 1 0 0 1 1 -4 -1 0 1 -2 -1 0 1 -3 -2 -1 0 1 -3 -2 -1 0 0 1 -1 0 1 -2 -1 0 1]
[ 0 1 1 0 -4 1 1 0 -1 1 0 -1 -2 1 0 -1 -2 -3 0 -1 -2 -3 1 0 1 0 -1 1 0 -1 -2]
[ 0 0 2 2 -2 -2 1 1 1 0 0 0 0 -1 -1 -1 -1 -1 -2 -2 -2 -2 1 1 0 0 0 -1 -1 -1 -1]
Degree: 8
Hilbert function: 1 + 7 t + 25 t2 + 63 t3 + 129 t4 + 231 t5 + 377 t6 + 575 t7 + 833 t8 + 1159 t9 + 1561 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
5 rank 1, V8 x*z2 + y*z2 + 2*x*z + 2*y*z + x + y + 4*x*y-1*z + 8*z + 4*x-1*y*z + 4*x*y-1 + 4*x-1*y + 6*x*y-2 + 18*y-1 + 18*x-1 + 6*x-2*y + 2*x*y-2*z-1 + 6*y-1*z-1 + 6*x-1*z-1 + 2*x-2*y*z-1 + 4*x*y-3*z-1 + 16*y-2*z-1 + 24*x-1*y-1*z-1 + 16*x-2*z-1 + 4*x-3*y*z-1 + x*y-4*z-2 + 5*y-3*z-2 + 10*x-1*y-2*z-2 + 10*x-2*y-1*z-2 + 5*x-3*z-2 + x-4*y*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 32 2 Lattice Minkowski decompositions of facet 32
Image of facet 129 1 Lattice Minkowski decompositions of facet 129
Image of facet 307 1 Lattice Minkowski decompositions of facet 307
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
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