The lengths of 3-cocycles of the 7-dihedral and the octahedral quandles
arXiv:2508.14612
Abstract
We determine the lengths of certain 3-cocycles of the 7-dihedral and the octahedral quandles. As a consequence, we show that both of the 2-twist-spun -knot and the 4-twist-spun trefoil have the triple point number eight.
57 pages, 12 figures