This appendix contains the following files, referred to in the paper "The tropical j-invariant":
jinvariant.lib — The file is a SINGULAR library containing most of the
SINGULAR procedures described above. Note that the
libraries tropical.lib and polymake.lib are an
integral part of each SINGULAR distribution from
Version 3.1 on.
secondary_fan_of_4x2.pdf — This file contains the output of the SINGULAR procedure
displayFan showing the 296 different regular
triangulations of the secondary fan of Aa together with the
formulae for valj
and for jtrop
on each cone of the
secondary fan where the interior lattice point is a vertex of
some triangle. These are the first 202 cones discussed in the
file.
secondary_fan_of_2x2.pdf — This file contains the output of the SINGULAR procedure
displayFan showing the 387 different regular
triangulations of the secondary fan of Aa together with the
formulae for valj
and for jtrop on each cone of the
secondary fan where the interior lattice point is a vertex of
some triangle. These are the first 255 cones discussed in the
file.
secondary_fan_of_cubic.pdf — This file contains the output of the SINGULAR procedure
displayFan showing the 1166 different regular
triangulations of the secondary fan of Aa together with the
formulae for valj
and for jtrop on each cone of the
secondary fan where the interior lattice point is a vertex of
some triangle. These are the first 849 cones discussed in the
file.