Polytope 2537
Image of polytope 2537 PALP id: 2537
grdb id: 370613
Integer points: [ 1 0 0 -1 -1 -1 -3 -3 -2 -3 -2 -1 -2 -1 -1 0]
[ 0 1 0 0 -1 -1 -2 -2 -1 -2 -1 0 -1 0 -1 0]
[ 0 0 1 -1 0 2 1 3 0 2 1 0 2 1 1 0]
Degree: 36
Hilbert function: 1 + 21 t + 95 t2 + 259 t3 + 549 t4 + 1001 t5 + 1651 t6 + 2535 t7 + 3689 t8 + 5149 t9 + 6951 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
37 rank 3, number 17 x + y + z + 3*x-1*z + x-1*y-1*z2 + 2*x-1 + 2*x-1*y-1*z + 3*x-2*y-1*z2 + x-1*z-1 + x-1*y-1 + 4*x-2*y-1*z + x-3*y-2*z3 + 2*x-2*y-1 + 2*x-3*y-2*z2 + x-3*y-2*z
111 ? x + y + z + 3*x-1*z + x-1*y-1*z2 + 2*x-1 + 3*x-1*y-1*z + 3*x-2*y-1*z2 + x-1*z-1 + x-1*y-1 + 4*x-2*y-1*z + x-3*y-2*z3 + 2*x-2*y-1 + 2*x-3*y-2*z2 + x-3*y-2*z
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 4 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 20 1 Lattice Minkowski decompositions of facet 20
Image of facet 78 1 Lattice Minkowski decompositions of facet 78
Image of facet 23 1 Lattice Minkowski decompositions of facet 23
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