Polytope 3356
Image of polytope 3356 PALP id: 3356
grdb id: 458619
Integer points: [ 1 0 0 -2 -2 2 2 -1 0 1 -1 0 1 -1 0 1 -1 0 1]
[ 0 1 0 1 0 -3 -4 -1 -2 -3 0 -1 -2 0 -1 -2 1 0 -1]
[ 0 0 1 -2 -1 2 3 0 1 2 -1 0 1 0 1 2 -1 0 1]
Degree: 16
Hilbert function: 1 + 11 t + 45 t2 + 119 t3 + 249 t4 + 451 t5 + 741 t6 + 1135 t7 + 1649 t8 + 2299 t9 + 3101 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
40 rank 2, number 10 x + y + 3*x*y-1*z + z + x2*y-3*z2 + 2*x*y-2*z2 + x2*y-4*z3 + 4*x*y-2*z + 4*y-1*z + 4*x*y-3*z2 + 2*x-1*y*z-1 + 6*y-1 + 2*x-1 + 6*y-2*z + 4*x-1*z-1 + 4*x-1*y-1 + x-2*y*z-2 + x-2*z-1
20 rank 1, V16 x + y + 2*x*y-1*z + z + x2*y-3*z2 + 2*x*y-2*z2 + x2*y-4*z3 + 4*x*y-2*z + 4*y-1*z + 4*x*y-3*z2 + 2*x-1*y*z-1 + 6*y-1 + 2*x-1 + 6*y-2*z + 4*x-1*z-1 + 4*x-1*y-1 + x-2*y*z-2 + x-2*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
Image of facet 1 1 irreducible and admissible
Image of facet 134 1 Lattice Minkowski decompositions of facet 134
Image of facet 23 1 Lattice Minkowski decompositions of facet 23
Image of facet 13 1 irreducible and admissible
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
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