Polytope 4010
Image of polytope 4010 PALP id: 4010
grdb id: 522634
Integer points: [ 1 0 1 -3 -3 1 -2 -1 0 -3 -2 -1 0 1 -2 -1 0 -1 0 1 -1 0 1]
[ 0 1 0 0 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 0 0 0 -1 -1 -1 0 0 0]
[ 0 0 2 -2 0 4 1 2 3 -1 0 1 2 3 -1 0 1 0 1 2 -1 0 1]
Degree: 20
Hilbert function: 1 + 13 t + 55 t2 + 147 t3 + 309 t4 + 561 t5 + 923 t6 + 1415 t7 + 2057 t8 + 2869 t9 + 3871 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
52 rank 2, number 13 x*z2 + 2*x*y-1*z3 + x*y-2*z4 + 2*x*z + 2*x*y-1*z2 + x + y + 3*z + 6*y-1*z2 + 4*y-2*z3 + 4*y-1*z + 3*x-1 + 9*x-1*y-1*z + 6*x-1*y-2*z2 + 2*x-1*z-1 + 2*x-1*y-1 + 3*x-2*z-1 + 7*x-2*y-1 + 4*x-2*y-2*z + x-3*z-2 + 2*x-3*y-1*z-1 + x-3*y-2
101 ? x*z2 + 2*x*y-1*z3 + x*y-2*z4 + 2*x*z + 2*x*y-1*z2 + x + y + 6*z + 9*y-1*z2 + 4*y-2*z3 + 4*y-1*z + 6*x-1 + 12*x-1*y-1*z + 6*x-1*y-2*z2 + 2*x-1*z-1 + 2*x-1*y-1 + 4*x-2*z-1 + 8*x-2*y-1 + 4*x-2*y-2*z + x-3*z-2 + 2*x-3*y-1*z-1 + x-3*y-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 272 1 Lattice Minkowski decompositions of facet 272
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
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