Polytope 4042
Image of polytope 4042 PALP id: 4042
grdb id: 274128
Integer points: [ 1 0 1 -2 1 -1 0 -2 0 -1 0 1 -2 -1 0 -1 0 1 -1 0 1 -1 0]
[ 0 1 -2 1 0 -2 1 -1 -2 -1 -1 -1 0 0 0 1 -1 -1 0 0 0 1 1]
[ 0 0 0 0 2 -2 2 -2 -1 -1 0 1 -1 0 1 1 -1 0 -1 0 1 0 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 + y*z2 + 2*x*z + 2*y*z + x + y + 2*x*y-1*z + 4*z + 2*x-1*y*z + 2*x*y-1 + 2*x-1*y + x*y-2 + 5*y-1 + 5*x-1 + x-2*y + 2*y-1*z-1 + 2*x-1*z-1 + 2*y-2*z-1 + 4*x-1*y-1*z-1 + 2*x-2*z-1 + x-1*y-2*z-2 + x-2*y-1*z-2
7 rank 1, V12 x*z2 + y*z2 + 2*x*z + 2*y*z + x + y + 2*x*y-1*z + 5*z + 2*x-1*y*z + 2*x*y-1 + 2*x-1*y + x*y-2 + 6*y-1 + 6*x-1 + x-2*y + 2*y-1*z-1 + 2*x-1*z-1 + 2*y-2*z-1 + 5*x-1*y-1*z-1 + 2*x-2*z-1 + x-1*y-2*z-2 + x-2*y-1*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 4 Lattice Minkowski decompositions of facet 16
Image of facet 224 1 Lattice Minkowski decompositions of facet 224
Image of facet 15 2 Lattice Minkowski decompositions of facet 15
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