\begin{table}%t5
\caption{\label{Istars-table-Prot}Gyrochronological ages for I-sequence stars in M~34.}
%\centering
\par
\begin{tabular}{clccllll}
\hline\hline \noalign{\smallskip}
Identifier  & ~~~JP\tablefootmark{a} & $\#$ of            & $(B-V)_{o}$ & ~Measured         & ~~Gyro Age\tablefootmark{c}   & Fitted\tablefootmark{d}  & Period\tablefootmark{e}       \\
            & ~~~ No.     & periods            &        & ~~~Period         &                    & Period        & Variance     \\
            &             & derived\tablefootmark{b}      &        & ~~~~[days]       & ~~~~~[Myr]         & [days]        & [days$^{2}$] \\
\hline
  F4\_0136  & JP 213      &   2                & 0.544  & $ 2.87  \pm 0.03$  & $178.5  \pm   3.5$ &  ~2.99        & 0.0144  \\
  F4\_0169  & JP 50       &   4                & 0.598  & $ 3.81  \pm 0.08$  & $170.0  \pm   6.7$ &  ~4.08        & 0.0729  \\
  F4\_0234  & JP 148      &   3                & 0.698  & $ 5.56  \pm 0.07$  & $188.4  \pm   4.4$ &  ~5.63        & 0.0049  \\
  F4\_0303  & JP 227      &   4                & 0.767  & $ 7.4   \pm 0.3$   & $244.1  \pm  18.6$ &  ~6.5         & 0.81    \\
  F4\_0317  & JP 224      &   4                & 0.805  & $ 6.8   \pm 0.1$   & $183.8  \pm   5.0$ &  ~7.0         & 0.04    \\
  F4\_0327  & JP 199      &   2                & 0.813  & $ 7.6   \pm 1.1$   & $220.9  \pm  59.8$ &  ~7.1         & 0.25    \\
  F3\_0172  & JP 49       &   3                & 0.811  & $ 8.0   \pm 1.0$   & $244.6  \pm  57.2$ &  ~7.0         & 1.00    \\
  F3\_0215  & JP 41       &   4                & 0.874  & $ 7.47  \pm 0.11$  & $180.4  \pm   5.0$ &  ~7.74        & 0.0729  \\
  F4\_0450  & JP 113      &   4                & 0.895  & $ 8.00  \pm 0.21$  & $194.5  \pm   9.6$ &  ~7.96        & 0.0016  \\
  F3\_0258  & JP 289      &   3                & 0.947  & $11.0   \pm 1.0$   & $313.1  \pm  53.3$ &  ~8.5         & 6.25    \\
  F4\_0667  & JP 52       &   3                & 1.030  & $ 7.97  \pm 0.05$  & $145.0  \pm   1.7$ &  ~9.28        & 1.7161  \\
  F3\_0320  & JP 172      &   3                & 1.046  & $ 8.511 \pm 0.001$ & $159.3  \pm   0.1$ &  ~9.429       & 0.84272 \\
  F4\_0730  & JP 18       &   4                & 1.051  & $ 8.41  \pm 0.10$  & $154.4  \pm   3.4$ &  ~9.47        & 1.1236  \\
  F3\_0383  &             &   2                & 1.160  & $ 9.5   \pm 0.4$   & $162.2  \pm  12.8$ &  10.4         & 0.81    \\
  F4\_0803  & JP 229      &   2                & 1.164  & $12.6   \pm 0.7$   & $273.5  \pm  28.5$ &  10.5         & 4.41    \\
  F4\_0942  &             &   3                & 1.198  & $ 9.4   \pm 0.3$   & $150.4  \pm   9.0$ &  10.7         & 1.69    \\
  F3\_0430  &             &   1                & 1.239  & $10.5   \pm 1.0$   & $174.8  \pm  31.2$ &  11.1         & 0.36    \\
  F3\_0485  &             &   2                & 1.285  & $12.0   \pm 1.0$   & $211.3  \pm  33.0$ &  11.4         & 0.36    \\
  F3\_0469  &             &   4                & 1.283  & $12.9   \pm 0.3$   & $242.5  \pm  10.6$ &  11.4         & 2.25    \\
  F4\_1315  &             &   2                & 1.371  & $12.2   \pm 0.5$   & $196.4  \pm  15.1$ &  12.1         & 0.01    \\
  F4\_1357  &             &   2                & 1.380  & $ 9.4   \pm 0.2$   & $119.3  \pm   4.8$ &  12.2         & 7.84    \\ 
  F3\_0664  &             &   1                & 1.441  & $10.5   \pm 1.0$   & $137.2  \pm  24.5$ &  12.6         & 4.41    \\
  F4\_1369  &             &   2                & 1.443  & $11.85  \pm 0.13$  & $171.7  \pm   3.5$ &  12.61        & 0.5776  \\
  F4\_1566  &             &   2                & 1.479  & $11.2   \pm 0.1$   & $148.8  \pm   2.5$ &  12.9         & 2.89    \\
  F4\_1007  &             &   2                & 1.440  & $15.0   \pm 2.0$   & $267.8  \pm  66.8$ &  12.6         & 5.76    \\
  F4\_1925  &             &   1                & 1.507  & $12.7   \pm 2.0$   & $183.0  \pm  53.9$ &  13.1         & 0.16    \\ 
  \hline
\end{tabular} 
\tablefoot {\tablefoottext{a}{{\em JP} identifier from Jones \& Prosser (\cite{Jone96}).} \\
\tablefoottext{b}{Number of filter/exposure combinations yielding photometric period derivations for a given star.} \\
\tablefoottext{c}{Gyro ages determined using Meibom et~al. (\cite{Meibo09}) I-sequence colour function coefficients, {\em viz} $a=0.770$~$\pm$ $0.014$, $b=0.553$~$\pm$ $0.052$ and $c=0.472$~$\pm$ $0.027$, and an age function exponent $n=0.5344$~$\pm$ $0.0015$ (see Sect.~\ref{M34gyro}).} \\
\tablefoottext{d}{Assuming a mean gyrochronology age for M~34 of 193~Myr (the~mean of the ages calculated in Col.~6~-- see Sect.~\ref{M34gyro}) and the Meibom et~al. (\cite{Meibo09}) coefficients, with $n=0.5344$~$\pm$ $0.0015$, we use intrinsic ($B-V$)~colours and Eq.~(1) to derive a fitted period 
for each M~34 I-sequence star.} \\
\tablefoottext{e}{Each star's contribution to the period variance [(Measured Period~-- Fitted Period)$^{2}$] is noted, where the total variance is 43.73~days${^2}$, with a mean of 1.68~days${^2}$.}}
\end{table}