The alternating depth5 basis elements




Here are the Euler or alternating sums in modular arithmetic up to depth5.

There is one big problem: the way the elements are treated elements that are zero are not listed in the tables. This will be corrected in the future.

The basis elements are characterized by that they are Lyndon words over the negative odd integers.

hex5-13.log.bz2 Weight 13,(1459882)
hex5-15.log.bz2 Weight 15,(5247353)
hex5-17.log.bz2 Weight 17,(16390331)
hex5-19.log.bz2 Weight 19,(44794715)
hex5-21.log.bz2 Weight 21,(112586820)

From this the .prc files with the textual table definitions were created

alt13m5.prc.bz2 Weight 13,(1440534)
alt15m5.prc.bz2 Weight 15,(5153703)
alt17m5.prc.bz2 Weight 17,(15783951)
alt19m5.prc.bz2 Weight 19,(40879387)
alt21m5.prc.bz2 Weight 21,(95211556)

The corresponding .sav files are

alt13m5.sav.bz2 Weight 13,(1339255)
alt15m5.sav.bz2 Weight 15,(4945640)
alt17m5.sav.bz2 Weight 17,(15255108)
alt19m5.sav.bz2 Weight 19,(39080523)
alt21m5.sav.bz2 Weight 21,(90703811)

And the .tbl files are

alt13m5.tbl.bz2 Weight 13,(1498432)
alt15m5.tbl.bz2 Weight 15,(5286782)
alt17m5.tbl.bz2 Weight 17,(16073669)
alt19m5.tbl.bz2 Weight 19,(40871299)
alt21m5.tbl.bz2 Weight 21,(94313848)

They were created by the program files:

hex5.frm The program file, (7860)
hex5.h The library file, (213710)
tosav.frm Program creates the full .sav files, (879)
maketbl.frm Program to make the .tbl files. (470)