Polytope 4314
Image of polytope 4314 PALP id: 4314
grdb id: 544406
Integer points: [ 1 1 -3 1 -3 -3 -3 -3 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 0 0 0 0 0 1 1 1 -1 -1 -1 0 0 0 1 1 1]
[ 0 2 -2 2 -2 -2 -2 -2 -1 -1 -1 -1 -1 0 0 0 0 0 1 1 1 1 1 2 2 2 -1 -1 -1 0 0 0 1 1 1]
[ 0 0 0 4 -4 -3 -2 -1 -3 -2 -1 0 1 -2 -1 0 1 2 -1 0 1 2 3 1 2 3 -2 -1 0 -1 0 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*z4 + 4*x*y2*z3 + 6*x*y2*z2 + 4*x*y2*z + 2*x*y*z2 + 4*y*z3 + x*y2 + 4*x*y*z + 16*y*z2 + 2*x*y + 24*y*z + x + 16*y + 4*z + 6*x-1*z2 + 4*y*z-1 + 24*x-1*z + 4*z-1 + 36*x-1 + 24*x-1*z-1 + 2*x-1*y-1 + 4*x-2*y-1*z + 6*x-1*z-2 + 4*x-1*y-1*z-1 + 16*x-2*y-1 + 2*x-1*y-1*z-2 + 24*x-2*y-1*z-1 + 16*x-2*y-1*z-2 + x-3*y-2 + 4*x-2*y-1*z-3 + 4*x-3*y-2*z-1 + 6*x-3*y-2*z-2 + 4*x-3*y-2*z-3 + x-3*y-2*z-4
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 32 4 Lattice Minkowski decompositions of facet 32
Image of facet 337 1 Lattice Minkowski decompositions of facet 337
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