# pilot/ -- comparison of the published values (Section 5.3, Table 7; SM Section S3.2)

`repro_w0.py` recomputes the DKMM superpotential from the polynomial prepotential (exact rational layer, asserted with
`fractions.Fraction`) plus the instanton sum truncated at Gopakumar-Vafa degree 4 (mpmath, 50 and 90 digits), solves
the three F-term equations by Newton iteration, and evaluates \|W0\| in three variants that differ only in the constant
term xi = zeta(3) chi / (2 (2 pi i)^3) of the prepotential: V1 keeps it with chi = -540 (the DKMM convention), V2 drops
it, V3 reverses its sign. V1 reproduces 2.037e-8 (arXiv:1912.10047), V2 reproduces 2.048e-8 (arXiv:2108.04266) and
2.0482e-8 (arXiv:2112.13863), V3 matches none; the ratio V2/V1 equals the ratio of the printed numbers. The script also
checks the invariance under (M,K) -> (-M,-K), the two-precision agreement, the instanton-shell hierarchy with its tail
estimate, and the racetrack constant of the letter's Eq. (19) (`rt_1d_check.py`: the printed constant is off by a
factor -1/(2 pi i) while the printed number is consistent with the corrected constant). Transcripts: `out_repro_w0.txt`,
`out_rt_1d.txt`. These are floating-point results, not certificates; the certified counterpart is `../cert_w0_vac/`.
The stand-alone evaluator `kklt-evaluate.py` at the top of this download folder is the distilled form of this
worksheet with pass/fail exit codes.

Runtime: about 20 s (this release; up to 2 minutes on slower hardware).