Polytope 4313
Image of polytope 4313 PALP id: 4313
grdb id: 544405
Integer points: [ 1 1 1 -3 -3 1 0 0 0 0 -1 -1 -1 -1 -1 -2 -2 -2 -2 -2 -2 -3 -3 -3 -3 -3 1 1 0 0 0 -1 -1 -1 -1]
[ 0 2 0 -4 2 1 -1 0 1 2 -2 -1 0 1 2 -3 -2 -1 0 1 2 -3 -2 -1 0 1 0 1 -1 0 1 -2 -1 0 1]
[ 0 0 2 2 -4 1 2 1 0 -1 2 1 0 -1 -2 2 1 0 -1 -2 -3 1 0 -1 -2 -3 1 0 1 0 -1 1 0 -1 -2]
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*y2 + 2*x*y*z + x*z2 + 2*x*y + 2*x*z + 4*y2*z-1 + x + 12*y + 12*z + 4*y-1*z2 + 4*y*z-1 + 4*y-1*z + 6*x-1*y2*z-2 + 24*x-1*y*z-1 + 36*x-1 + 24*x-1*y-1*z + 6*x-1*y-2*z2 + 2*x-1*y*z-2 + 6*x-1*z-1 + 6*x-1*y-1 + 2*x-1*y-2*z + 4*x-2*y2*z-3 + 20*x-2*y*z-2 + 40*x-2*z-1 + 40*x-2*y-1 + 20*x-2*y-2*z + 4*x-2*y-3*z2 + x-3*y2*z-4 + 6*x-3*y*z-3 + 15*x-3*z-2 + 20*x-3*y-1*z-1 + 15*x-3*y-2 + 6*x-3*y-3*z + x-3*y-4*z2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 32 2 Lattice Minkowski decompositions of facet 32
Image of facet 336 1 Lattice Minkowski decompositions of facet 336
Image of facet 119 1 Lattice Minkowski decompositions of facet 119
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