  We numerically study the thermal transport in the classical inertial
nearest-neighbor XY ferromagnet in $d=1,2,3$, the total number of sites being
given by $N=L^d$, where $L$ is the linear size of the system. For the thermal
conductance $\sigma$, we obtain $\sigma(T,L)\, L^{\delta(d)} = A(d)\,
e_{q(d)}^{- B(d)\,[L^{\gamma(d)}T]^{\eta(d)}}$ (with $e_q^z \equiv
[1+(1-q)z]^{1/(1-q)};\,e_1^z=e^z;\,A(d)>0;\,B(d)>0;\,q(d)>1;\,\eta(d)>2;\,\delta
\ge 0; \,\gamma(d)>0)$, for all values of $L^{\gamma(d)}T$ for $d=1,2,3$. In
the $L\to\infty$ limit, we have $\sigma \propto 1/L^{\rho_\sigma(d)}$ with
$\rho_\sigma(d)= \delta(d)+ \gamma(d) \eta(d)/[q(d)-1]$. The material
conductivity is given by $\kappa=\sigma L^d \propto 1/L^{\rho_\kappa(d)}$
($L\to\infty$) with $\rho_\kappa(d)=\rho_\sigma(d)-d$. Our numerical results
are consistent with 'conspiratory' $d$-dependences of $(q,\eta,\delta,\gamma)$,
which comply with normal thermal conductivity (Fourier law) for all dimensions.
