How does one compute the differentials in the Adams Spectral Sequence for spheres at the prime 2 in the range 13≤t−s≤20? There seem to be 6 nonzero differentials, and at this point I only understand d2(h4)=h23h0.
There seem to be two methods that are used or referenced in various texts, but I haven't figured out exactly how to apply either in this context. The first is the Massey Product/Toda Product (apparently they are the same, but Massey is algebraic and works in E2, and Toda is topological and works in πs∗). The second is by building a cofiber sequences S0→S0∪fei→Si which gives a long exact sequence in both the πs∗ and the spectral sequence itself.
If possible, could somebody point me to a resource where they use these methods in this range, or give me a hint on how I can try to do this?
Thanks a bunch -Joseph