Model I universality conjecture for colored doodles

For $0\le n<2$, let $c(n)$ denote the central charge associated with colored doodles, and write $n=-2\cos(\pi g)$ with $\frac12\le g<1$. Model I universality conjecture. Colored doodles are in the universality class of dense non-crossing loops, so that

$$c(n)=1-6(\sqrt g-1/\sqrt g)^2.$$

This is one of two competing universality scenarios proposed for the weighted enumeration of colored doodles; the paper presents them as likely candidates rather than established results.