Polytope 4303
Image of polytope 4303 PALP id: 4303
grdb id: 520261
Integer points: [ 1 0 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0 0]
[ 0 1 1 1 1 -4 0 -1 -2 -3 1 0 -1 -2 -3 1 0 -1 -2 1 0 -1 1 0 0 -1 -2 1 0 -1 1 0]
[ 0 0 3 -1 4 -6 2 0 -2 -4 3 1 -1 -3 -5 2 0 -2 -4 1 -1 -3 0 -2 1 -1 -3 2 0 -2 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*z3 + x-1*y*z4 + 3*y*z2 + 5*x-1*y*z3 + 3*y*z + 10*x-1*y*z2 + x + y + 4*z + 10*x-1*y*z + 5*x-1*z2 + 5*x-1*y + 20*x-1*z + 4*z-1 + x-1*y*z-1 + 30*x-1 + 5*y-1*z-1 + 20*x-1*z-1 + 10*x-1*y-1 + 5*y-1*z-2 + 5*x-1*z-2 + 30*x-1*y-1*z-1 + 30*x-1*y-1*z-2 + 2*y-2*z-3 + 10*x-1*y-1*z-3 + 10*x-1*y-2*z-2 + 20*x-1*y-2*z-3 + 10*x-1*y-2*z-4 + 5*x-1*y-3*z-4 + 5*x-1*y-3*z-5 + x-1*y-4*z-6
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 9 1 irreducible and admissible
Image of facet 146 1 Lattice Minkowski decompositions of facet 146
Image of facet 316 1 Lattice Minkowski decompositions of facet 316
Image of facet 103 2 Lattice Minkowski decompositions of facet 103
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