**Abstract.** Reporting on joint work with Roland van der Veen,
I'll tell you some stories about $\rho_1$, an easy to define, strong,
fast to compute, homomorphic, and well-connected knot invariant. $\rho_1$
was first studied by Rozansky and Overbay, it is dominated by the
coloured Jones polynomial (but it isn't lesser!), it has far-reaching
generalizations, and I wish I understood it.

**URL:** http://drorbn.net/wat23.

**Links:**
AKT
ap
APAI
AQDW
DoPeGDO
Dogma
FDA
J
Ov
Scha
SolvApp

**Talk Video**
(for the version given in Oaxaca;
also at YouTube
and at @BIRS).

**After-talk writeup** (for the version given in Nara):
NaraTalkSummary.pdf.

**Sources:** pensieve.