degrees of freedom.

We used the implementation of the $\mathcal{F}$-statistic in the LALSuite package [@lalsuite]. In particular most of the computing power of the search was spent in the `ComputeFStatistic_v2` program. Unlike the version used in preceding methodologically similar searches [@S5CasA; @S6CasAFriends], this one implements an option to use a barycentric resampling algorithm which significantly speeds up the analysis.

The method of efficiently computing the $\mathcal{F}$-statistic by barycentering and Fast-Fourier-transforming the data was first proposed in [@Jaranowski1998]. Various implementations of this method have been developed and used in previous searches, such as [@Krolak2010; @PinkeshMethods; @PatelThesis]. Here we are using a new LALSuite [@lalsuite] implementation of this method, which evolved out of [@PatelThesis], and which will be described in more detail in a future publication. It converts the input data into a heterodyned, downsampled timeseries weighted by antenna-pattern coefficients, and then resamples this timeseries at the solar system barycenter using an interpolation technique. The resampled time series is then Fourier-transformed to return to the frequency domain, and from there the $\mathcal{F}$-statistic is calculated. For this search, both single-detector and multi-detector $\mathcal{F}$-statistics were calculated (see Vetoes section below).

Timing tests run on a modern processor (ca. 2011) showed that the resampling code 