%0 Journal Article %T 16,051 formulas for Ottaviani's invariant of cubic threefolds %A Abdelmalek Abdesselam %A Christian Ikenmeyer %A Gordon Royle %J Mathematics %D 2014 %I arXiv %X We provide explicit combinatorial formulas for Ottaviani's degree 15 invariant which detects cubics in 5 variables that are sums of 7 cubes. Our approach is based on the chromatic properties of certain graphs and relies on computer searches and calculations. %U http://arxiv.org/abs/1402.2669v2