Steenrod art

This page is a library of finitely generated modules over the mod-2 Steenrod algebra $\mathcal{A}$, each with a single generator in internal degree 0. Nodes are the generators, placed vertically by internal degree; a line between two nodes denotes the action of $\mathrm{Sq}^{2^n}$, with $n$ shown by both the line's length and its color: $\mathrm{Sq}^1$, $\mathrm{Sq}^2$, $\mathrm{Sq}^4$, $\mathrm{Sq}^8$, and $\mathrm{Sq}^{16}$ are blue, purple, orange, green, and light blue.

Each module is indecomposable, and no two are isomorphic.

Click a module to copy its sseq-format JSON.