A fixed transit test leaves 29 periods of at least one day for the two known TOI-5696.01 events

The two known TOI-5696.01 events in K2 and TESS are 1637.265382 days apart. If one source has a constant period, this interval permits 1,637 integer period choices of at least one day. We test these choices in K2 Campaign 14 and TESS Sectors 45, 46, and 72. We fit predicted events with an exposure-integrated trapezoid and a quadratic baseline. The test assumes a duration of 6.4 hours and a depth of at least 800 parts per million. It requires defined transit and baseline coverage, an empirical depth noise floor, a five-error upper margin below 800 parts per million, and sensitivity of at least seven. This fixed rule excludes 1,608 periods. It leaves n = 1 through 27, 30, and 34 in P = 1637.265382 / n days. The shortest remaining period is 48.154864 days. At the same first exclusion epoch, 1,460 rejected periods also pass all eight single-parameter checks of shape, timing, and baseline length. The exact count depends on the model and coverage rule. EVEREST confirms all 1,535 K2SFF exclusion events for which it has eligible coverage. The known 2023 TOI-5696.03 event is present in both simple-aperture and corrected TESS flux. It is at least 17.75 hours from the nearest event of any primary remaining period. It does not complete that constant-period sequence. This analysis does not discover the known events, identify their source, confirm a planet, or assign period probabilities. The package contains six original FITS files, source hashes, catalog provenance, code, figures, all primary exclusion measurements, sensitivity checks, synthetic transit checks, and instructions for a complete offline run.

TOI-5696 · TOI-5696.01 · TOI-5696.03 · TIC 393546540 · EPIC 248618202 · K2 · TESS · period aliases · transit timing · reproducible photometry