Here are the Euler or alternating sums in modular arithmetic up to depth4.
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 log files of the run on an 8 core Xeon machine at 2.33 GHz and 16 Gbytes of memory are:
| hex4-14.log.bz2 | Weight 14, (330141) |
| hex4-16.log.bz2 | Weight 16, (810625) |
| hex4-18.log.bz2 | Weight 18, (1769985) |
| hex4-20.log.bz2 | Weight 20, (3462440) |
| hex4-22.log.bz2 | Weight 22, (6395398) |
| hex4-24.log.bz2 | Weight 24, (11029618) |
| hex4-26.log.bz2 | Weight 26, (18630677) |
| hex4-28.log.bz2 | Weight 28, (29380027) |
| hex4-30.log.bz2 | Weight 30, (46082115) |
The .prc files constructed from these outputs are
| alt14m4.prc.bz2 | Weight 14, (327581) |
| alt16m4.prc.bz2 | Weight 16, (802568) |
| alt18m4.prc.bz2 | Weight 18, (1754942) |
| alt20m4.prc.bz2 | Weight 20, (3429013) |
| alt22m4.prc.bz2 | Weight 22, (6348748) |
| alt24m4.prc.bz2 | Weight 24, (10911501) |
| alt26m4.prc.bz2 | Weight 26, (18390710) |
| alt28m4.prc.bz2 | Weight 28, (29066086) |
| alt30m4.prc.bz2 | Weight 30, (45380807) |
Then we used the tosav.frm program to create the binary FORM files for easiest processing.
| alt14m4.sav.bz2 | Weight 14, (301642) |
| alt16m4.sav.bz2 | Weight 16, (753695) |
| alt18m4.sav.bz2 | Weight 18, (1681761) |
| alt20m4.sav.bz2 | Weight 20, (3311783) |
| alt22m4.sav.bz2 | Weight 22, (6169041) |
| alt24m4.sav.bz2 | Weight 24, (10593154) |
| alt26m4.sav.bz2 | Weight 26, (17736438) |
| alt28m4.sav.bz2 | Weight 28, (28019636) |
| alt30m4.sav.bz2 | Weight 30, (43826072) |
The .tbl files are
| alt14m4.tbl.bz2 | Weight 14, (340393) |
| alt16m4.tbl.bz2 | Weight 16, (831373) |
| alt18m4.tbl.bz2 | Weight 18, (1791865) |
| alt20m4.tbl.bz2 | Weight 20, (3456003) |
| alt22m4.tbl.bz2 | Weight 22, (6418194) |
| alt24m4.tbl.bz2 | Weight 24, (10957753) |
| alt26m4.tbl.bz2 | Weight 26, (18326838) |
| alt28m4.tbl.bz2 | Weight 28, (28839916) |
| alt30m4.tbl.bz2 | Weight 30, (44905164) |
And the programs are:
| hex4.frm | Program to generate the log files, (7897) |
| hex4.h | Library for hex4.frm, (213675) |
| tosav.frm | Program creates the full .sav files, (879) |
| maketbl.frm | Program to make the .tbl files. (470) |