RUNTIME:

Matlab construction (all graphs)
|V|         7      8
------------------------
H1       0.31s    22.8s
H2       1.1s     108s
H_char.  1.3s	  170s


Sage construction (all graphs)
|V|      7      8
------------------------
H1    0.10s     0.7s
H2    0.15s     1.0s


Mixed volume - sphere equations (all graphs)
|V|      7      8
------------------------
H2    0.2s     5s


Mixed volume - distance equations (all graphs)
|V|      7      8
------------------------
H2    0.3s     3.2s


Complex solutions (all graphs)
|V|      7      8
------------------------
H2    7.5s     281s (2 cores)


Sampling based on Coupler curve (1 starting point)
G16     ~120s
G48     ~
G160    ~8.5 hours
Notice that these times highly depend on the chosen starting point!