Polytope 3845
Image of polytope 3845 PALP id: 3845
grdb id: 585897
Integer points: [ 1 1 0 0 0 0 -1 -1 -1 -1 -1 0 -1 0 -1 0 1 -1 0 -1 0]
[ 0 2 0 2 -2 0 -1 1 -3 -1 0 1 0 1 -1 0 1 -2 -1 -2 -1]
[ 0 0 1 1 -1 -1 1 1 -1 -1 1 1 0 0 0 0 0 0 0 -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*y2 + y2*z + 2*x*y + 2*y*z + x + 2*y + z + x-1*y*z + 2*x-1*z + z-1 + 2*y-1 + 2*x-1 + x-1*y-1*z + 2*y-1*z-1 + 4*x-1*y-1 + y-2*z-1 + x-1*y-1*z-1 + 2*x-1*y-2 + 2*x-1*y-2*z-1 + x-1*y-3*z-1
7 rank 1, V12 x*y2 + y2*z + 2*x*y + 2*y*z + x + 3*y + z + x-1*y*z + 2*x-1*z + z-1 + 2*y-1 + 2*x-1 + x-1*y-1*z + 2*y-1*z-1 + 4*x-1*y-1 + y-2*z-1 + x-1*y-1*z-1 + 2*x-1*y-2 + 2*x-1*y-2*z-1 + x-1*y-3*z-1
7 rank 1, V12 x*y2 + y2*z + 2*x*y + 2*y*z + x + 2*y + z + x-1*y*z + 2*x-1*z + z-1 + 3*y-1 + 2*x-1 + x-1*y-1*z + 2*y-1*z-1 + 4*x-1*y-1 + y-2*z-1 + x-1*y-1*z-1 + 2*x-1*y-2 + 2*x-1*y-2*z-1 + x-1*y-3*z-1
22 rank 3, number 1 x*y2 + y2*z + 2*x*y + 2*y*z + x + 3*y + z + x-1*y*z + 2*x-1*z + z-1 + 3*y-1 + 2*x-1 + x-1*y-1*z + 2*y-1*z-1 + 4*x-1*y-1 + y-2*z-1 + x-1*y-1*z-1 + 2*x-1*y-2 + 2*x-1*y-2*z-1 + x-1*y-3*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 15 4 Lattice Minkowski decompositions of facet 15
Image of facet 36 1 Lattice Minkowski decompositions of facet 36
Image of facet 23 2 Lattice Minkowski decompositions of facet 23
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