Here is a link to the corresponding SIGMA 2018 paper and a link to the video shown at the end of the talk, which shows an animation illustrating the conjectures in the paper.
An animation illustrating the conjectures [video] https://www.youtube.com/watch?v=Ru0Zys1Vvq4
The Intro begins...
These conjectures resulted from our attempts to
understand data obtained following a 9 month
calculation in magma on a supercomputer at the MPIM
in Bonn. These results go far beyond existing
calculations and are obtained using a new algorithm.
The algorithm relies in an essential way on ideas of
Libedinsky, Riche and the second author. The behaviour
we observe appears highly non-trivial, which suggests
that proving anything might be difficult.