Table 1.

Ratio of coefficients, $a_1\left(F\right)/a_1\left(\mathrm{ring}\right)$, in Equations (3) and (4) for ideal and real topological polymers with graphs F, respectively.

Graph F	Ratio of ${\mathit{a}}_1$ (Ideal)	Ratio of ${\mathit{a}}_1$ (Real)
linear	$1.978\pm 0.015$	$1.847\pm 0.038$
tadpole (lasso)	$1.368\pm 0.009$	$1.340\pm 0.018$
ring	$1.000\pm 0.003$	$1.000\pm 0.007$
double-ring	$0.753\pm 0.002$	$0.850\pm 0.002$
$\theta$-shaped	$0.667\pm 0.004$	$0.699\pm 0.003$
complete $K_{3,3}$	$0.413\pm 0.002$	$0.4857\pm 0.0005$