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The structure of the bird list needs to be changed:

pi riuriu sooty tern kukuru toua albatross ? ruru black petrel
kava eoeo d:o makohe frigate taiko
te verovero d:o kena booby kumara white tern
ka araara d:o tavake redtailed tropic bird kiakia
tuvi gray tern
tuao dark brown tern
tavi small lead-coloured tern

If these 15 bird items should represent the cycle of Sun, we can for instance count with 24 days for each bird because 24 * 15 = 360. The last 3 birds would then cover 3 * 24 = 72 days (equal to the page number where the birds are located in Manuscript E).

On the other 'hand', with 20 days for each bird, which is suggested by the text in Manuscript E and which agrees with the Mayan structure, there will be 4 * 20 = 80 days for each group in the table above, and 20 * 15 = 300 (presumably the Sun year according to counting time by the Moon).

Beyond kiakia there will then be 3 * 20 = 60 days, just as from the exit of Sun at 16 Pax:

16 Pax 17 Kayab 18 Cumhu 19 Vayeb

The small lead-coloured tern named tavi certainly represents Saturn (with very poor light).

But the Mayan calendar evidently has 18 * 20 + 5 = 365 regular days, not 15 * 20 = 300. This difference can be eliminated if we add 3 months from the 'back side' of the previous year, and we can then update the bird table anew:

4 pi riuriu sooty tern 8 kukuru toua albatross ? 12 ruru black petrel
5 kava eoeo d:o 9 makohe frigate 13 taiko
6 te verovero d:o 10 kena booby 14 kumara white tern
7 ka araara d:o 11 tavake redtailed tropic bird 15 kiakia
16 tuvi gray tern
17 tuao dark brown tern
18 tavi small lead-coloured tern