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Just one error in the tables (probably oversight): the top three plays in the "7" family are ranked: 13/7*(2), 13/7* 6/3(2), and 13/7* 13/10(2), and are nactated 7, 7, and 7 (first, second and third members of the 7 family), respectively. All three plays make the same number of points (one); therefore, the point made closest to the 6pt is the deciding criterion (7pt, 3pt, 10pt).
To interpret a numeral, put a checker on the indicated point, then follow the hit/most/6 rule. Thus, "5" means 13/7* 8/5(2) [intuitively obvious, perhaps, but interpreting step by step you could perceive this as 8/5, then hit, then cover the 5pt], and "3" likewise means 13/7* 6/3(2).
You can use an areal letter to describe any play. The 7, 5 and 3 plays described above can be nactated D, O and N, respectively. As O is the best play at gammon go, and I've even see people play N, I tend to use either D, O and N (all areal), or 7, 5 and 3 (all numerals) to describe the plays as a set.
If, on the other hand, the 13/7*(2) play is viewed in isolation, the style letter of P (instead of D or 7) could be a natural preference.
While it is permissible to call the plays that make the 7pt, 5pt and 3pt respectively "P" (style), "O" (areal) and "3" (numeral) all within the same nacbrac, the most adept use of Nactation tends to value consistency in context.
Nack