Polytope 4241
Image of polytope 4241 PALP id: 4241
grdb id: 520868
Integer points: [ 1 0 1 -3 -5 1 0 -1 -2 -3 -4 1 0 -1 -2 -3 -4 0 -1 -2 1 0 -1 -2 1 0 -1]
[ 0 1 0 0 -2 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 -1 0 0 0 -1 -1 -1 -1 0 0 0]
[ 0 0 2 -2 -2 4 3 2 1 0 -1 3 2 1 0 -1 -2 1 0 -1 2 1 0 -1 1 0 -1]
Degree: 18
Hilbert function: 1 + 12 t + 50 t2 + 133 t3 + 279 t4 + 506 t5 + 832 t6 + 1275 t7 + 1853 t8 + 2584 t9 + 3486 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
10 rank 1, V18 x*z2 + 2*x*y-1*z3 + x*y-2*z4 + 2*x*z + 2*x*y-1*z2 + x + y + 4*z + 9*y-1*z2 + 6*y-2*z3 + 6*y-1*z + 5*x-1 + 17*x-1*y-1*z + 15*x-1*y-2*z2 + 2*x-1*z-1 + 6*x-1*y-1 + 3*x-2*z-1 + 17*x-2*y-1 + 20*x-2*y-2*z + 2*x-2*y-1*z-1 + x-3*z-2 + 9*x-3*y-1*z-1 + 15*x-3*y-2 + 2*x-4*y-1*z-2 + 6*x-4*y-2*z-1 + x-5*y-2*z-2
151 rank 3, number 4 x*z2 + 2*x*y-1*z3 + x*y-2*z4 + 2*x*z + 2*x*y-1*z2 + x + y + 6*z + 11*y-1*z2 + 6*y-2*z3 + 6*y-1*z + 8*x-1 + 22*x-1*y-1*z + 15*x-1*y-2*z2 + 2*x-1*z-1 + 6*x-1*y-1 + 4*x-2*z-1 + 21*x-2*y-1 + 20*x-2*y-2*z + 2*x-2*y-1*z-1 + x-3*z-2 + 10*x-3*y-1*z-1 + 15*x-3*y-2 + 2*x-4*y-1*z-2 + 6*x-4*y-2*z-1 + x-5*y-2*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 2 Lattice Minkowski decompositions of facet 16
Image of facet 1 2 irreducible and admissible
Image of facet 314 1 Lattice Minkowski decompositions of facet 314
Image of facet 119 1 Lattice Minkowski decompositions of facet 119
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