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\label{fig:arnold}  \textbf{A.} Arnold tongues of the deterministic system. The black regions correspond to different $p:q$ mode-locking. Both coupling function were rescaled as $F_i \rightarrow K F_i$ ($K=1$ correspond to the inferred functions).  \textbf{B.} Phase portrait with deterministic 2:1 stable manifold (blue, $T_2=40h$) and a measured trajectory (black).  \textbf{C.} Inferred circadian phase $\theta(t)$ (blue) and the \revalphaYFP signal (black) for the cell shown in panel C. Vertical red bars show the annotated divisions.  \textbf{D.} Inferred cell cycle phase $\phi(t)$ (blue) from the nuclear area (black) for the cell shown in panel C. Vertical red bars show the annotated divisions.