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Day 80 in the manzil calendar is not March 21 but August 4:

Alhena 4 5 6 (72)
July 25 26 27 (208)
Ca5-21 Ca5-22 Ca5-23
te Rei te manu te henua
Alhena 7 8 9 (75) 10
July 28 29 30 31 (212)
Ca5-24 (129) Ca5-25 Ca5-26 Ca5-27
tuu te rima i ruga etoru kahi
Alhena 11 (77) 12 13 Murzim 1
August 1 2 3 4 (216)
Ca5-28 Ca5-29 Ca5-30 Ca5-31 (136)
e manu te kahi te henua haro rima i ruga

Glyph 136 is Gregorian day 80 + 136 = 216.

The first day in the manzil calendar is Sheratan 1 in May 17 (137). I have above left the last 4 glyphs in line Ca5 to be discussed later together with the glyphs in line Ca6, which seems reasonable when considering that Ca5-32 is glyph 137.

In other words, Ca5-31 in some way seems to correspond to the beginning of next phase of the year. Metoro here said haro rima i ruga:

Haro

To pull; popohaga o te rua raá, i haro i te aka o te miro, on the morning of the second day, they pulled up the anchor of the boat. Vanaga.

a. to point, to raise the arm, to stretch out the hand or other member, to spread, to point the yards. b. to hoist, to pull up, to entice. c. to stiffen, to grasp, to squeeze. Haroharo, to point, to limp. PS Sa.: falo, to stretch out. To.: falo, to stretch out, to make tense. Fu.: falo, to stretch out, to lay hands on. Churchill.

I find associations to a ship leaving harbour.

Rei in Ca5-21 is the same as in Ca1-11 and in Ca3-24 (and in Cb4-5):

10 63 50 266
Ca1-11 Ca3-24 (75) Ca5-21 (126)
392
75 272
Cb4-5 (468)
348

Could Rei be a picture of a celestial ship, a 'stone figure'? Beginning its voyage in March 21 and ending in August 4? The Easter Island calender is said to have begun in July, but the number patterns seem to point at August 5.

If the calendar indeed began earlier, in July, then the date could have been determined from where the 9th right ascension hour was beginning:

Heka 13 Alhena 1 2 (68) 3
8h (121.7) July 22 23 (204) 24
Ca5-17 (122) Ca5-18 Ca5-19 Ca5-20 (125)
hakahagana te honu tagata moe hakarava hia ka moe hakapekaga mai
Heap of Fuel (122.1) Tegmine (123.3) Regor (123.7), Al Tarf (124.3) Bright Fire (125.4)

Counting glyphs from the 'Janus' positíon (between the pair of figures sitting back to back) there are 13 days to August 5:

9
Ca5-19 Ca5-20 (125) Ca5-30 Ca5-31 (136)
13

The last manzil month, Alrescha, has 15 days (not 13). If we should count not from Ca5-19 but from Ca5-17 then the number of days would not be 13, but 15.

We should compare with the G text:

Ga2-27 Ga2-28 (59) Ga2-29 Ga3-1
July 20 8h (121.7) 22 23 (204)
Heka 12 13 Alhena 1 2 (68)
Ga3-2 (*125) Ga3-3 Ga3-4 Ga3-5 (65)
July 24 25 26 27
Alhena 3 4 5 6
Ga3-6 Ga3-7 (*130) Ga3-8 (68) Ga3-9
July 28 29 (210) 30 31
Alhena 7 8 9 10
Ga3-10 Ga3-11 Ga3-12 Ga3-13 (*136)
August 1 2 3 4 (216)
11 12 Alhena 13 Murzim 1 (80)

Ga3-12, a honu with 'penis', is located in the last day of Alhena, not in the last day of Heka. I.e., it is 13 days after Heka 13. Maybe it means we should count 15 days from Ca5-17 because it is the last day of Heka.