An entry in row \( k \) and column \( n \) of the table below is an element of \( H_n( \underline{\mathrm{ko}}_k ; \mathbb{F}_2) \). Only some \(*\)-indecomposable elements are shown. Juxtaposition and exponentiation denote circle products (\( xy = x \circ y\) and \(x^n = x \circ x \circ \cdots x\) with \( n \) factors).