Code to support answers to the 27 questions (these ones: http://cubics.wikidot.com/question:all).
Present status:
Q16 -- [SAGE] |> "eigenpoints.sage" runs some useful experiments over a finite field.
Q26 -- [MAGMA] |> Nearly solved for generic cubics by "Brundu-logar.m"
Q27 -- [MAGMA] |> Nearly solved for generic cubics by "Steiner-forms.m"