  We extract the $\varepsilon$-expansion from the recently obtained seven-loop
$g$-expansion for the renormalization group functions of the $O(N)$-symmetric
model. The different series obtained for the critical exponents $\nu,\ \omega$
and $\eta$ have been resummed using our recently introduced
hypergeometric-Meijer resummation algorithm. In three dimensions, very precise
results have been obtained for all the critical exponents for $N=0,1,2,3$ and
$4$. To shed light on the obvious improvement of the predictions at this order,
we obtained the divergence of the specific heat critical exponent $\alpha$ for
the $XY$ model. We found the result $-0.0123(11)$ which is compatible with the
famous experimental result of -0.0127(3) from the specific heat of zero gravity
liquid helium superfluid transition while the six-loop Borel with conformal
mapping resummation result in literature gives the value -0.007(3). For the
challenging case of resummation of the $\varepsilon$-expansion series in two
dimensions, we showed that our resummation results reflect a significant
improvement to the previous six-loop resummation predictions.
