## A quoted percentage accuracy can be rounded What happened: for T616 the Yip–Leung Padé approximant (arXiv:1709.02469, equations (73)/(100), Table 2/5) differed from two independent Lane–Emden integrations at n=3 by 0.2141340818 percent. A test treating the paper's "0.21 percent" as a strict maximum failed. Both integration formulations agree to over 70 digits at that index. The observed percentage rounds to the quoted figure; the discrepancy is the use of a rounded descriptive accuracy as a strict inequality, not evidence of a failed ODE solve. What the skill says now: check against independent values, and explain a disagreement rather than choosing whichever result seems right. What it should say: distinguish a certified strict bound from a source's rounded accuracy summary for a fitted approximation. Retain the measured error and any initial failed test. If rounding plausibly explains the summary, state that interpretation explicitly; never use the approximate fit as evidence for additional high-precision digits. Evidence: T616's independent-initial-failure.log and independent-evidence.json; source archived as yip-leung.html with SHA-256 in source-manifest.json. The final check uses 0.215 percent, the upper rounding boundary of 0.21 percent, and separately checks that the n=3 error lies in [0.205, 0.215) percent.