doubling of the $2\mathcal{F}$ value for a doubling of coherence time. These cases as well were tested with software injections to determine a threshold.

In both time shifts and extended looks, the searches were conducted over a parameter space envelope obtained by starting at the outlier frequency parameters $(f, \dot{f}, \ddot{f}) \pm 2$ bins, and evolving those ranges backwards or forwards in time using the extremum values of the next derivative (e.g., $f$ evolved at maximum $\dot{f}$, $\dot{f}$ evolved at maximum $\ddot{f}$) to achieve a conservatively wide envelope.

Outliers detected with joint $2\mathcal{F}$ greater than the threshold established by the software injections were labeled candidates and received manual followup. These tests were not cumulative; an outlier needed only to survive any one test, not all of them, to persist as a candidate. The software injection threshold for both types of test was placed at a value for joint $2\mathcal{F}$ yielding 80% injection recovery; because each outlier would receive further consideration if it passed either test, the false dismissal probability for the first follow-up stage was $\approx 4\%$. The combined 323 outliers produced only seven candidates, listed in Table  \[CandidateTable\].

These candidates were subject to manual followup. They were compared to 