This is a p=3 fork of Guozhen Wang's code for computing the Adams-Novikov E₂ page for the sphere (originally at p=2), using the algebraic Novikov spectral sequence. See this repository for sample data and an explanation of how to interpret the data files output by the program. The rest of this README is Guozhen's original instructions.

The algorithm is explained in the pdf file MinimalResolution.pdf

The codes can be compiled with GCC. The GNU Multiple Precision Arithmetic Library should be installed.

To compile, run the following batch files:

sh st_compiling

sh BPtable_complile

sh BP_compile

To get the minimal resolution for BP/I, for t<=50, s<=21 (say), run

./mr_st 25 21

To get the structure maps of the BP Hopf algebroid for t<=50, run

./BPtab 25

To get the minimal resolution for BP, for t<=50, s<=20, run

./mr_BP 25 20

Warning:

The first input parameter is half of t.

The three executalbes are dependent, and should be run in the above order.

The s for the minimal resolution for BP/I should be at least one larger than the s for that of BP.

Any mistake of the input could result in unpredictible behaviour, usually a break-down of the program such as a segmentation error.

[EB: the p=3 version may have different restrictions on the degrees, but I haven't thought about what the rule should be.]