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We examine the RKKY interactions of CeB$_6$ between multipole moments basedon the effective Wannier model obtained from the bandstructure calculationincluding 14 Ce-$f$ orbitals and 60 conduction orbitals of Ce-$d,s$ andB-$p,s$. By using the $f$-$c$ mixing matrix elements of the Wannier modeltogether with the conduction band dispersion, the multipole couplings with theRKKY oscillation are obtained for the active moments in $\Gamma_{8}$ subspace.Both of the $\Gamma_{5g}$ quadrupole $O_{xy}$ and the $\Gamma_{2u}$ octupole$T_{xyz}$ couplings are largely enhanced with $\bm{q}=(\pi,\pi,\pi)$ whichnaturally explains the antiferro-quadrupolar phase of the phase II, and arealso enhanced with $\bm{q}=(0,0,0)$ corresponding to the elastic softening of$C_{44}$. Also the couplings of the $\Gamma_{5u}$ octupole $T_{z}^{\beta}$ isquite large for $\bm{q}=(0,0,\pi)$ which is related to the antiferro-octupolarordering of a possible candidate for the phase IV of Ce$_{x}$La$_{1-x}$B$_6$.

RKKY interactions of CeB6 based on effective Wannier model