Polytope 3574
Image of polytope 3574 PALP id: 3574
grdb id: 452184
Integer points: [ 1 0 0 0 -1 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 -1 -1 0 0 0]
[ 0 1 0 2 -2 -2 2 -1 0 1 -1 0 1 2 -1 0 1 -1 0 1]
[ 0 0 1 1 -2 -1 3 0 1 2 -1 0 1 2 0 1 2 -1 0 1]
Degree: 18
Hilbert function: 1 + 12 t + 50 t2 + 133 t3 + 279 t4 + 506 t5 + 832 t6 + 1275 t7 + 1853 t8 + 2584 t9 + 3486 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
31 rank 3, number 3 y2*z + 2*x-1*y2*z2 + x-2*y2*z3 + 2*y*z + 2*x-1*y*z2 + x + y + z + 5*x-1*y*z + 4*x-2*y*z2 + 4*x-1*z + 6*x-1 + 6*x-2*z + 2*y-1*z-1 + 2*x-1*y-1 + 4*x-1*y-1*z-1 + 4*x-2*y-1 + x-1*y-2*z-2 + x-2*y-2*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 162 1 Lattice Minkowski decompositions of facet 162
Image of facet 22 1 Lattice Minkowski decompositions of facet 22
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
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