  We determine the NLO chiral low-energy constant $L_{10}^r$, and combinations
$C_{12}^r\pm C_{61}^r+C_{80}^r$, $C_{13}^r-C_{62}^r+C_{81}^r$, $C_{61}^r$, and
$C_{87}^r$, of the NNLO chiral low-energy constants incorporating recently
revised ALEPH results for the non-strange vector ($V$) and axial-vector ($A$)
hadronic $\tau$ decay distributions and recently updated RBC/UKQCD lattice data
for the non-strange $V-A$ two-point function. In the $\bar{\rm MS}$ scheme, at
renormalization scale $\mu=770\ {MeV}$, we find $L_{10}^r=-0.00350(17)$,
$C_{12}^r+C_{61}^r+C_{80}^r=0.00237(16)\ {GeV}^{-2}$,
$C_{12}^r-C_{61}^r+C_{80}^r=-0.00056(15)\ {GeV}^{-2}$,
$C_{13}^r-C_{62}^r+C_{81}^r=0.00046(9)\ {GeV}^{-2}$, $C_{61}^r=0.00146(15)\
{GeV}^{-2}$, and $C_{87}^r=0.00510(22)\ {GeV}^{-2}$. With errors here at or
below the level expected for contributions of yet higher order in the chiral
expansion, the analysis exhausts the possibilities of what can be meaningfully
achieved in an NNLO analysis. We also consider the dimension six and dimension
eight coefficients in the operator product expansion in the $V-A$ channel.
