Strong Malle's conjecture for extensions with Galois group G

Let $K$ be a number field, let $G\subset S_n$ act transitively on $\{1,\dots,n\}$, and let $M(K,G;B)$ count degree-$n$ extensions $L/K$ with Galois closure of group $G$ and discriminant norm at most $B$. Let $a(G)$ be the reciprocal of the minimal index of a nonidentity element of $G$, and let $b(K,G)$ be the number of cyclotomic Galois orbits of conjugacy classes having minimal index. Strong Malle's conjecture. Under these assumptions, there is a positive constant $c(K,G)$ such that

$$M(K,G;B)\sim c(K,G)B^{a(G)}(\log B)^{b(K,G)-1}.$$

This is the asymptotic refinement of the weak bounds, predicting both the main power of $B$ and the logarithmic factor. The source does not specify the resolution status here.