Four TESS sectors leave 11 period aliases above one day for TOI-3500.02 under a fixed-depth transit test

TOI-3500.02 is a known TESS candidate with no period in the NASA TOI table retrieved on 2026-10-22. We analyze two-minute SPOC light curves from Sectors 37, 64, 90, and 101. Three dips have depths of 8123 to 8350 ppm and durations near eight hours. Their fitted centers are BTJD 3056.69334, 3757.32046, and 4107.63939. The earlier SPOC Sectors 1 through 96 validation product already fits the first two dips with a 700.628-day period. The third dip falls between predicted transits of that solution. A weighted fit to event indices 0, 2, and 3 gives A = 350.315149 days. Its chi-square is 6.17 for one degree of freedom, so the period sequence is approximate. For one fixed-shape transit per orbit, we test all 350 aliases P = A/n of at least one day. A predicted extra event must have at least 70 percent transit coverage and data on both sides. A local fit includes the known 7.34-day signal. A missing dip must differ from a 7500-ppm depth floor by at least seven estimated block-error standard deviations. This test rejects 339 aliases and leaves 11, from 17.515757 to 350.315149 days. All available baseline, center-shift, and SAP checks preserve the exclusions. None of 339 injected limb-darkened signals is rejected. The 11 choices have no eligible extra event under the coverage rule; they are not assigned probabilities. A known stellar companion at 3.74 arcseconds is unresolved by TESS. Pixel checks do not establish the host, and the Sector 101 image moment has a substantial offset. The work does not confirm a planet, exclude alternating stellar eclipses, or claim timing variations. The package preserves code, full light curves, lossless pixel subsets, source hashes, fitted results, figures, and future event centers.

TESS · TOI-3500 · TOI-3500.02 · TIC 443666343 · transit photometry · period aliases · SPOC · data provenance · exoplanet candidate · stellar companion