Polytope 3874
Image of polytope 3874 PALP id: 3874
grdb id: 5954
Integer points: [ 1 0 0 -2 -2 -3 3 2 2 0 0 -1 2 1 1 1 0 -1 -1 -1 -2]
[ 0 1 0 2 1 2 -2 -1 -2 0 -1 0 -1 0 -1 -1 0 1 1 0 1]
[ 0 0 1 1 2 2 -2 -2 -1 -1 0 0 -1 -1 -1 0 0 0 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 + y + z + 2*x-1*y*z + x-2*y2*z + x-2*y*z2 + x-3*y2*z2 + 2*x2*y-1*z-1 + 2*x*z-1 + 2*x*y-1 + 2*x-1*y + 2*x-1*z + 2*x-2*y*z + x3*y-2*z-2 + x2*y-1*z-2 + x2*y-2*z-1 + 2*x*y-1*z-1 + z-1 + y-1 + x-1
22 rank 3, number 1 x + y + z + 3*x-1*y*z + x-2*y2*z + x-2*y*z2 + x-3*y2*z2 + 2*x2*y-1*z-1 + 2*x*z-1 + 2*x*y-1 + 2*x-1*y + 2*x-1*z + 2*x-2*y*z + x3*y-2*z-2 + x2*y-1*z-2 + x2*y-2*z-1 + 3*x*y-1*z-1 + z-1 + y-1 + x-1
7 rank 1, V12 x + y + z + 2*x-1*y*z + x-2*y2*z + x-2*y*z2 + x-3*y2*z2 + 2*x2*y-1*z-1 + 2*x*z-1 + 2*x*y-1 + 2*x-1*y + 2*x-1*z + 2*x-2*y*z + x3*y-2*z-2 + x2*y-1*z-2 + x2*y-2*z-1 + 3*x*y-1*z-1 + z-1 + y-1 + x-1
7 rank 1, V12 x + y + z + 3*x-1*y*z + x-2*y2*z + x-2*y*z2 + x-3*y2*z2 + 2*x2*y-1*z-1 + 2*x*z-1 + 2*x*y-1 + 2*x-1*y + 2*x-1*z + 2*x-2*y*z + x3*y-2*z-2 + x2*y-1*z-2 + x2*y-2*z-1 + 2*x*y-1*z-1 + z-1 + y-1 + x-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 24 2 Lattice Minkowski decompositions of facet 24
Image of facet 15 6 Lattice Minkowski decompositions of facet 15
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