Proof of C_weak(5,7,7) > 27

A coloring of $\mathcal{K}^3_{27}$ with no red chain of size 5 or 7-gon. Each node of the hypergraph $\mathcal{K}^3_{27}$ is labeled from 1 to 27. Each line i j k C of the text file etv_7_5_7_27.color corresponds to a hyperedge with nodes i, j, k of color C = R or B (red or blue).