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In these notes we use the recently found relation between facets of tropicalGrassmannians and generalizations of Feynman diagrams to compute all "biadjointamplitudes" for $n=7$ and $k=3$. We also study scattering equations on$X(3,7)$, the configuration space of seven points on $\mathbb{CP}^2$. We provethat the number of solutions is $1272$ in a two-step process. In the first stepwe obtain $1162$ explicit solutions to high precision using near-softkinematics. In the second step we compute the matrix of $360\times 360$biadjoint amplitudes obtained by using the facets of ${\rm Trop}\, G(3,7)$,subtract the result from using the $1162$ solutions and compute the rank of theresulting matrix. The rank turns out to be $110$, which proves that the numberof solutions in addition to the $1162$ explicit ones is exactly $110$.

Notes on Biadjoint Amplitudes, ${\rm Trop}\,G(3,7)$ and $X(3,7)$ Scattering Equations