## Highest weight vectors

The simplest way to calculate Racah matrices is through construction of the highest weights, see arXiv:1112.2654 and arXiv:1508.02870.

Special:

• $[r]\otimes [r] \otimes \overline{[r]}\longrightarrow [r]$
• $[r]\otimes \overline{[r]} \otimes [r]\longrightarrow [r]$

• $[2,1]\otimes [2,1] \otimes \overline{[2,1]}\longrightarrow [2,1]$
• $[2,1]\otimes \overline{[2,1]} \otimes [2,1]\longrightarrow [2,1]$

Inclusive: