  This note presents an elementary proof of Hilbert's 1891 Ansatz of nesting
for $M$-sextics, along the line of Riemann's Nachlass 1857 and a simple
Harnack-style argument (1876). Our proof seems to have escaped the attention of
Hilbert (and all subsequent workers) [but alas turned out to contain a severe
gap, cf. Introduction for more!]. It uses a bit Poincar\'e's index formula
(1881/85). The method applies as well to prohibit Rohn's scheme 10/1, and
therefore all obstructions of Hilbert's 16th in degree $m=6$ can be explained
via the method of total reality. (The same ubiquity of the method is
conjectured in all degrees, and then suspected to offer new insights.) More
factually, a very simple and robust phenomenon of total reality on $M$-curves
of even order is described (the odd-order case being already settled in Gabard
2013), and it is speculated that this could be used as an attack upon the
(still open) Ragsdale conjecture for $M$-curves (positing that $| \chi|\le
k^2$). Of course a giant gap still remains to be bridged in case the latter
conjecture is true at all. Alas, the writer has little experimental evidence
for the truth of the conjecture, and the game can be a hazardous one. However
we suspect that the method of total reality should at least be capable of
recovering the weaker Petrovskii bound, or strengthened variants due to Arnold
1971. This text has therefore merely didactic character and offers no
revolutionary results, but tries to reactivate a very ancient method (due
basically to Riemann 1857) whose swing seems to have been somewhat
underestimated, at least outside of the conformal-mapping community.
