Polytope 4301
Image of polytope 4301 PALP id: 4301
grdb id: 520292
Integer points: [ 1 0 1 -3 -7 1 0 -1 -2 -3 -4 -5 -6 1 0 -1 -2 -3 -4 -5 0 -1 -2 1 0 -1 -2 -3 1 0 -1]
[ 0 1 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 -1 -1 0 0 0 -1 -1 -1 -1 -1 0 0 0]
[ 0 0 2 -2 -4 4 3 2 1 0 -1 -2 -3 3 2 1 0 -1 -2 -3 1 0 -1 2 1 0 -1 -2 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*z2 + 2*x*y-1*z3 + x*y-2*z4 + 2*x*z + 2*x*y-1*z2 + x + y + 6*z + 13*y-1*z2 + 8*y-2*z3 + 8*y-1*z + 10*x-1 + 34*x-1*y-1*z + 28*x-1*y-2*z2 + 2*x-1*z-1 + 12*x-1*y-1 + 6*x-2*z-1 + 46*x-2*y-1 + 56*x-2*y-2*z + 8*x-2*y-1*z-1 + x-3*z-2 + 34*x-3*y-1*z-1 + 70*x-3*y-2 + 2*x-3*y-1*z-2 + 13*x-4*y-1*z-2 + 56*x-4*y-2*z-1 + 2*x-5*y-1*z-3 + 28*x-5*y-2*z-2 + 8*x-6*y-2*z-3 + x-7*y-2*z-4
20 rank 1, V16 x*z2 + 2*x*y-1*z3 + x*y-2*z4 + 2*x*z + 2*x*y-1*z2 + x + y + 5*z + 12*y-1*z2 + 8*y-2*z3 + 8*y-1*z + 8*x-1 + 30*x-1*y-1*z + 28*x-1*y-2*z2 + 2*x-1*z-1 + 12*x-1*y-1 + 5*x-2*z-1 + 40*x-2*y-1 + 56*x-2*y-2*z + 8*x-2*y-1*z-1 + x-3*z-2 + 30*x-3*y-1*z-1 + 70*x-3*y-2 + 2*x-3*y-1*z-2 + 12*x-4*y-1*z-2 + 56*x-4*y-2*z-1 + 2*x-5*y-1*z-3 + 28*x-5*y-2*z-2 + 8*x-6*y-2*z-3 + x-7*y-2*z-4
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 330 1 Lattice Minkowski decompositions of facet 330
Image of facet 208 1 Lattice Minkowski decompositions of facet 208
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