Polytope 4174
Image of polytope 4174 PALP id: 4174
grdb id: 264553
Integer points: [ 1 0 0 0 -1 -1 -2 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 0 -1 -1 -1 0 0 0]
[ 0 1 0 -2 2 -2 -4 2 1 0 -1 -2 -3 1 0 -1 -2 -3 -1 1 0 -1 1 0 -1]
[ 0 0 1 -1 2 -2 -3 3 2 1 0 -1 -2 2 1 0 -1 -2 0 1 0 -1 1 0 -1]
Degree: 16
Hilbert function: 1 + 11 t + 45 t2 + 119 t3 + 249 t4 + 451 t5 + 741 t6 + 1135 t7 + 1649 t8 + 2299 t9 + 3101 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
40 rank 2, number 10 x-1*y2*z2 + x-2*y2*z3 + 2*y*z + 2*x-1*y*z2 + x + y + z + 5*x-1*y*z + 6*x-2*y*z2 + 8*x-1*z + 2*y-1 + 8*x-1 + 15*x-2*z + 2*y-1*z-1 + 12*x-1*y-1 + y-2*z-1 + 5*x-1*y-1*z-1 + 20*x-2*y-1 + 8*x-1*y-2*z-1 + x-1*y-2*z-2 + 15*x-2*y-2*z-1 + 2*x-1*y-3*z-2 + 6*x-2*y-3*z-2 + x-2*y-4*z-3
20 rank 1, V16 x-1*y2*z2 + x-2*y2*z3 + 2*y*z + 2*x-1*y*z2 + x + y + z + 4*x-1*y*z + 6*x-2*y*z2 + 8*x-1*z + 2*y-1 + 6*x-1 + 15*x-2*z + 2*y-1*z-1 + 12*x-1*y-1 + y-2*z-1 + 4*x-1*y-1*z-1 + 20*x-2*y-1 + 8*x-1*y-2*z-1 + x-1*y-2*z-2 + 15*x-2*y-2*z-1 + 2*x-1*y-3*z-2 + 6*x-2*y-3*z-2 + x-2*y-4*z-3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 3 irreducible and admissible
Image of facet 15 2 Lattice Minkowski decompositions of facet 15
Image of facet 212 1 Lattice Minkowski decompositions of facet 212
Image of facet 183 1 Lattice Minkowski decompositions of facet 183
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