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42)
57 hanga piko a hare rutu manu a ana onono a Pu ngotangota.
58 ata Popohanga toou e to ata hero e
59 ata ahiahi toou e honu e
60 apina nui a Papa nihoniho a vere nua(-)
  nua a Papa o rae i te ngao o te moai o hina(-)
  riru

ku noho era a a Ira.i apina nui.i tuu mai

ai.a makoi.ki apina nui.he nape e Ira

i te ingoa.ko apina nui a Papa nihoniho

a vere nuanua a Papa o rae i te ngao o te

moai o hinariru.

ina kai hakamaa Penei e ku naa ana te moai

te tuitui reipa.

he hoki he oho mai arurua.he oo ki roto ki te ana

he noho.he too mai a Ira.i te hau mo te kaikai

mo uru.mo hakamaa i a Makoi.i te urunga o te kai(-)

kai.

The cycle closes with item 60 (apina nui ...), and the name connects it to the beginning with item 1 (ko apina iti ...).

The 4 last items are possibly structurally similar to the last 4 nights of the Hawaiian Moon calendar: Kane, Lono, Mauli, and Muku - which in a way belong on next 'front' side, no longer 'down in the water' of the Waning Moon period.

If so, then the 'waning' season in this list of 'place names' ends with item 56, the last one of the preceding page.

To summarize the structure of the 2nd list of place names:

Sun (?) Moon (?) Moon ? old year ? new year (?)
13 29 - 13 = 16 42 - 30 = 12 56 - 43 = 13 60 - 56 = 4
58 = 2 * 29

The 16th night of the Moon according to the Hawaiian calendar is a day of low tide. I have redmarked the 'ebb items'. It includes first of all the season of Sun, which can be counted e.g. as 13 * 14 = 182 days. To which should be added the end of the preceding 'back side' (from Kane so to say), e.g. as 4 * 29.5 = 118 in order to reach 300 days.

The Moon season should be divided in 2 parts. I guess Moon is 'born' at midsummer and reaches her apex at winter solstice, when there should be a full moon. 16 redmarked items could cover the time from midsummer to winter solstice, and the season of 'Waning Moon' could be 29 - 20 (Hanga Ohiro) = 9 items long. 16 + 9 = 25, and then comes 'Kane'.

If we add the 'invisible' items the table becomes:

Sun (?) Moon (?) Moon ? old year ? new year (?)
13 16 + 2 = 18 12 + 1 = 13 13 4

And then there is the phenomenon of 4 extra lines in item 2 and 1 extra line in item 50. 58 + 3 + 5 = 66. Are there 2 extra lines also in item 60? If so, then the sum becomes 68.