Cohomology of the Mod 2 Steenrod algebra

New version notes: The t column in the resolution csv table is corrected. It was identical to the id column.

In this repo you will find the tables of the cohomology of the Mod 2 Steenrod algebra up to total degree of 261 in many formats, including pdf, csv files, and an interactive plot of the E2 page of the Adams spectral sequence on link. We also provide the Steenrod resolution data in the same range.

In AdamsE2 csv files, "1,2,3,4;7,8" stands for $x_1^2{x}_3^4+x_7^8$ where $x_i$ is the i'th generator in the generator csv table with i as id. In the generator csv table, the res_id column corresponds to the id column of the representing elements in the resolution table.

In the resolution csv table, each row "s,t,index,diff" means that in degree (s,t), d(v_{index})=diff. In the diff column, "1,2:3+4:5" stands for $P(1,2)v_3+P(4)v_5$ where $v_i$ is the generator of the free module in Adams filtration s-1 with index i.On the interactive plot, you can scroll the mouse wheel and drag to navigate. You can double click the dots to see the details about the elements.

The author is supported by China Postdoctoral Science Foundation 2021TQ0015 and the Fundamental Research Funds for the Central Universities, Peking University.