Multiplet probability conjecture for 3-class rank one

Let $f$ be a regular conductor, let $d>0$ be a quadratic fundamental discriminant, and consider $3$-admissible pairs $(f,d)$ with $3$-class rank $\varrho=1$. Let $(L_1,\ldots,L_m)$ denote the resulting multiplet of totally real cubic fields. Multiplet probability conjecture for $\varrho=1$. For prime conductor $f=q$, the probabilities are approximately $8\%$ for a triplet and $92\%$ for a nilet. For conductor $f=q_1q_2$, they are approximately $1\%$ for a sextet, $17\%$ for a triplet, and $82\%$ for a nilet; among the nilets, $18\%$ have $\delta=1$ and $82\%$ have $\delta=2$. These figures are experimental probabilities based on the computed data.