Polytope 4274
Image of polytope 4274 PALP id: 4274
grdb id: 520538
Integer points: [ 1 0 0 1 -2 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 0 0 0 -1 -1 -1 -1 -1 0 0 0 1 0]
[ 0 1 1 -2 1 1 1 1 1 1 1 0 0 0 0 0 -1 -1 -1 1 1 1 1 1 0 0 0 -1 1]
[ 0 0 2 -2 4 -2 3 2 1 0 -1 2 1 0 -1 -2 0 -1 -2 3 2 1 0 -1 1 0 -1 -1 1]
Degree: 8
Hilbert function: 1 + 7 t + 25 t2 + 63 t3 + 129 t4 + 231 t5 + 377 t6 + 575 t7 + 833 t8 + 1159 t9 + 1561 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
5 rank 1, V8 y*z2 + 2*x-1*y*z3 + x-2*y*z4 + 2*y*z + 8*x-1*y*z2 + 6*x-2*y*z3 + x + y + 4*z + 12*x-1*y*z + 3*x-1*z2 + 15*x-2*y*z2 + 8*x-1*y + 12*x-1*z + 20*x-2*y*z + 2*x*y-1*z-1 + 4*z-1 + 2*x-1*y*z-1 + 3*y-1 + 18*x-1 + 15*x-2*y + 6*y-1*z-1 + 12*x-1*z-1 + 6*x-2*y*z-1 + x*y-2*z-2 + 3*y-1*z-2 + 3*x-1*z-2 + x-2*y*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 1 irreducible and admissible
Image of facet 35 2 Lattice Minkowski decompositions of facet 35
Image of facet 212 1 Lattice Minkowski decompositions of facet 212
Image of facet 241 1 Lattice Minkowski decompositions of facet 241
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