Polytope 3755
Image of polytope 3755 PALP id: 3755
grdb id: 446982
Integer points: [ 1 0 1 -1 -2 1 1 0 1 0 -1 0 -1 1 0 1 0 1 0 -1 1]
[ 0 1 0 0 1 -2 -2 -1 -2 -1 0 -1 0 -1 0 -1 0 -1 0 1 0]
[ 0 0 2 -2 -2 2 4 0 3 1 -1 2 0 1 -1 2 0 3 1 -1 1]
Degree: 12
Hilbert function: 1 + 9 t + 35 t2 + 91 t3 + 189 t4 + 341 t5 + 559 t6 + 855 t7 + 1241 t8 + 1729 t9 + 2331 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
11 rank 2, number 6 x*z2 + 2*x*y-1*z3 + x*y-2*z4 + 2*x*z + 4*x*y-1*z2 + 2*x*y-2*z3 + x + y + 2*x*y-1*z + 4*z + x*y-2*z2 + 3*y-1*z2 + 4*y-1*z + 2*z-1 + 2*x-1*y*z-1 + 2*y-1 + 3*x-1 + 2*x-1*z-1 + x-1*z-2 + x-2*y*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 1 1 irreducible and admissible
Image of facet 35 1 Lattice Minkowski decompositions of facet 35
Image of facet 36 1 Lattice Minkowski decompositions of facet 36
Image of facet 78 1 Lattice Minkowski decompositions of facet 78
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
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