Polytope 1358
Image of polytope 1358 PALP id: 1358
grdb id: 412182
Integer points: [ 1 0 0 -1 0 -1 -2 -2 -1 -2 -1 -1 0]
[ 0 1 0 0 -1 0 -1 -1 -1 -1 0 -1 0]
[ 0 0 1 -1 1 1 -1 1 1 0 0 0 0]
Degree: 34
Hilbert function: 1 + 20 t + 90 t2 + 245 t3 + 519 t4 + 946 t5 + 1560 t6 + 2395 t7 + 3485 t8 + 4864 t9 + 6566 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
119 rank 3, number 16 x + y + z + y-1*z + x-1*z + 2*x-1 + 2*x-1*y-1*z + x-1*z-1 + 2*x-1*y-1 + x-2*y-1*z + 2*x-2*y-1 + x-2*y-1*z-1
65 rank 4, number 6 x + y + z + y-1*z + x-1*z + 3*x-1 + 2*x-1*y-1*z + x-1*z-1 + 2*x-1*y-1 + x-2*y-1*z + 2*x-2*y-1 + x-2*y-1*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 5 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 23 1 Lattice Minkowski decompositions of facet 23
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