Polytope 4312
Image of polytope 4312 PALP id: 4312
grdb id: 547389
Integer points: [ 1 1 1 -7 0 -1 -2 -3 -4 -5 -6 1 0 -1 -2 -3 -4 -5 1 0 -1 -2 -3 1 0 -1 1 0 -1 -2 -3 1 0 -1 1]
[ 0 2 2 -6 1 0 -1 -2 -3 -4 -5 2 1 0 -1 -2 -3 -4 2 1 0 -1 -2 2 1 0 1 0 -1 -2 -3 1 0 -1 1]
[ 0 0 4 -4 3 2 1 0 -1 -2 -3 3 2 1 0 -1 -2 -3 2 1 0 -1 -2 1 0 -1 2 1 0 -1 -2 1 0 -1 0]
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*z4 + 4*x*y2*z3 + 6*x*y2*z2 + 4*x*y2*z + 2*x*y*z2 + 8*y*z3 + x*y2 + 4*x*y*z + 24*y*z2 + 2*x*y + 24*y*z + x + 8*y + 8*z + 28*x-1*z2 + 60*x-1*z + 36*x-1 + 4*x-1*z-1 + 12*x-1*y-1 + 56*x-2*y-1*z + 4*x-1*y-1*z-1 + 80*x-2*y-1 + 24*x-2*y-1*z-1 + 8*x-2*y-2*z-1 + 70*x-3*y-2 + 60*x-3*y-2*z-1 + 6*x-3*y-2*z-2 + 2*x-3*y-3*z-2 + 56*x-4*y-3*z-1 + 24*x-4*y-3*z-2 + 28*x-5*y-4*z-2 + 4*x-5*y-4*z-3 + 8*x-6*y-5*z-3 + x-7*y-6*z-4
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 32 2 Lattice Minkowski decompositions of facet 32
Image of facet 208 1 Lattice Minkowski decompositions of facet 208
Image of facet 335 1 Lattice Minkowski decompositions of facet 335
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