Polytope 4205
Image of polytope 4205 PALP id: 4205
grdb id: 433633
Integer points: [ 1 0 0 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0]
[ 0 1 1 -2 1 1 -3 -2 -1 0 -2 -1 0 1 -1 0 1 0 1 -1 0 -1 0 1 0 1]
[ 0 0 3 -3 0 4 -4 -2 0 2 -3 -1 1 3 -2 0 2 -1 1 -1 1 -2 0 2 -1 1]
Degree: 10
Hilbert function: 1 + 8 t + 30 t2 + 77 t3 + 159 t4 + 286 t5 + 468 t6 + 715 t7 + 1037 t8 + 1444 t9 + 1946 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
9 rank 1, V10 y*z3 + x-1*y*z4 + 3*y*z2 + 4*x-1*y*z3 + 3*y*z + 6*x-1*y*z2 + x + y + 3*z + 4*x-1*y*z + 4*x-1*z2 + x-1*y + 12*x-1*z + 3*z-1 + 12*x-1 + 3*y-1*z-1 + 4*x-1*z-1 + 6*x-1*y-1 + 3*y-1*z-2 + 12*x-1*y-1*z-1 + 6*x-1*y-1*z-2 + y-2*z-3 + 4*x-1*y-2*z-2 + 4*x-1*y-2*z-3 + x-1*y-3*z-4
49 rank 2, number 4 y*z3 + x-1*y*z4 + 3*y*z2 + 4*x-1*y*z3 + 3*y*z + 6*x-1*y*z2 + x + y + 4*z + 4*x-1*y*z + 4*x-1*z2 + x-1*y + 12*x-1*z + 3*z-1 + 12*x-1 + 4*y-1*z-1 + 4*x-1*z-1 + 6*x-1*y-1 + 3*y-1*z-2 + 12*x-1*y-1*z-1 + 6*x-1*y-1*z-2 + y-2*z-3 + 4*x-1*y-2*z-2 + 4*x-1*y-2*z-3 + x-1*y-3*z-4
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 9 2 irreducible and admissible
Image of facet 90 2 Lattice Minkowski decompositions of facet 90
Image of facet 93 1 Lattice Minkowski decompositions of facet 93
Image of facet 206 1 Lattice Minkowski decompositions of facet 206
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