Polytope 4309
Image of polytope 4309 PALP id: 4309
grdb id: 520190
Integer points: [ 1 0 0 -2 3 -2 2 1 0 -1 2 1 0 -1 -2 1 0 -1 -2 0 -1 -2 -1 -2 2 1 0 -1 1 0 -1 0 -1 -1]
[ 0 1 0 -2 -2 3 -2 -2 -2 -2 -1 -1 -1 -1 -1 0 0 0 0 1 1 1 2 2 -1 -1 -1 -1 0 0 0 1 1 2]
[ 0 0 1 3 -2 -2 -1 0 1 2 -2 -1 0 1 2 -2 -1 0 1 -2 -1 0 -2 -1 -1 0 1 2 -1 0 1 -1 0 -1]
Degree: 6
Hilbert function: 1 + 6 t + 20 t2 + 49 t3 + 99 t4 + 176 t5 + 286 t6 + 435 t7 + 629 t8 + 874 t9 + 1176 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
19 rank 1, V6 x + y + z + 2*x2*y-1*z-1 + 6*x*z-1 + 6*y*z-1 + 2*x-1*y2*z-1 + 6*x*y-1 + 6*x-1*y + 6*y-1*z + 6*x-1*z + 2*x-1*y-1*z2 + x3*y-2*z-2 + 5*x2*y-1*z-2 + 10*x*z-2 + 10*y*z-2 + 5*x-1*y2*z-2 + x-2*y3*z-2 + 5*x2*y-2*z-1 + 20*x*y-1*z-1 + 30*z-1 + 20*x-1*y*z-1 + 5*x-2*y2*z-1 + 10*x*y-2 + 30*y-1 + 30*x-1 + 10*x-2*y + 10*y-2*z + 20*x-1*y-1*z + 10*x-2*z + 5*x-1*y-2*z2 + 5*x-2*y-1*z2 + x-2*y-2*z3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 129 3 Lattice Minkowski decompositions of facet 129
Image of facet 316 1 Lattice Minkowski decompositions of facet 316
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