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There are twin figures late in line Ca4 and early in line Ca5, and perhaps the idea was to draw attention to the pair of halves the year can be divided into. Already anciently the Gemini constellation was created to visualize this concept:

Precession has moved Gemini and the other constellations ahead in the year, and the June solstice is not in the middle of the Gregorian calendar:

Albatain 6 (33) 7 (399) 8 9
June 18 19 20 21 (172)
Ca4-13 Ca4-14 Ca4-15 Ca4-16 (92)
kua tuu tona mea te henua te hau tea mauga hua - te henua
η Leporis (89.0), Praja-pāti, Menkalinan, Mahashim, and γ Columbae (89.3)  η Columbae (89.7), μ Orionis (90.3) 6h (91.3) ξ Orionis (92.5)
χ² Orionis (90.5), ν Orionis (91.4)
Albatain 10 11 (403) 12  13 (40)
June 22 23 (St John's Eve) 24 (St John's Day)  25
Ca4-17 Ca4-18 (94) Ca4-19 Ca4-20
te hau tea tupu te rakau - te henua te hau tea tupu te rakau
 Tejat Prior (93.4)  κ Aurigae (93.6) Furud (94.9), Tejat Posterior, Mirzam (95.4) Canopus (95.6), ψ1 Aurigae (95.9)

But in rongorongo times - and by what appears to be a remarkable coincidence - July 1 happened to be the first day beyond the heliacal rising of Sirius. And July is the 1st month in the 2nd group of 6 months:

Al Tuwaibe' 1 2 3 4 (409) 5 (45)
June 26 (177) 27 28 29 30 (181)
Ca4-21 Ca4-22 Ca4-23 Ca4-24 (100) Ca4-25
ihe pepe rere ka rere ki tona nohoga te moko manu rere tupu te rakau
no stars listed ν Puppis (99.2), ψ3 Aurigae (99.4), ψ2 Aurigae (99.5) ψ4 Aurigae (100.5) Mebsuta (100.7),  Sirius (101.2), ψ5 Aurigae (101.4)

The hollow-eyed bird in Gregorian day 180 coincided with right ascension day 100 and also with manzil day 409 (equal to the glyph number at Rogo in Gb6-26). A similar such bird (but with an open beak and a black eye) comes 33 days later in Ca5-28, in August 1.

Maybe the text identifies a kind of solstice 'month' as 33 days counted from RA day 100. If number 314 was possible to use every time a circle was to be measured then also other special numbers, such as 33, might have a similar power:

"Because the Sun is a spherical (rather than a single-point) source of light, the actual crossing of the Sun over the equator takes approximately 33 hours." (Wikipedia)

Al Tuwaibe' 6 7 8 (413) 9 (49)
July 1 2 3 4 (185)
Ca4-26 (102) Ca4-27 Ca4-28 Ca4-29
erua tamaiti kua vaha te mago erua
ν Gemini (101.6), ψ6 Aurigae (101.7),  τ Puppis (102.2), ψ7 Aurigae (102.4)  ψ8 Aurigae (103.2) Alhena (103.8), ψ9 Aurigae (103.9) Adara (104.8), ω Gemini (105.4)

The beginning of line Ca5 coincides with the days when Earth is most distant from Sun:

"The Earth reaches aphelion currently in early July, approximately 14 days after the June solstice." (Wikipedia)

June 21 (172) + 14 = July 5 (186):

Al Tuwaibe' 10 11 12 13 (53)
July 5 (186) 6 7 8
Ca5-1 Ca5-2 (107) Ca5-3 Ca5-4
E hua ki te henua - ka huki te hau tea - te henua kua hua te henua
 7h (106.5) Wezen (107.1) no stars listed
Alzirr (105.7), Muliphein (105.8)

We can in Ca5-2 imagine the emergence of a new season of 'earth' (henua), separated (koti) from the previous ('parent') one. And Wezen (δ Canis Majoris) was rising here, in right ascension day 107 (= 472 - 365).

Probably the heliacal rising of Castor (the mortal of the Gemini twins) was of importance for the calendar makers, because this event was connected to the day beginning after the night when Antares had culminated:

Heka 1 2 3 4 (57)
July 9 10 11 12 (193)
Ca5-5 Ca5-6 (111) Ca5-7 Ca5-8
kua iri i te rakau ihe tamaiti erua mago
Wasat (109.8) Aludra (111.1) Gomeisa (111.6), ρ Gemini (112.1) Castor (113.4)
Antares at the time of G
Rising in the east at sunset  June 1 (152) 0 0
15 days from winter solstice July 6 (187) 35 35
Culmination at midnight July 11 (192) 5 40
'Leap day'

July 12 (193)

1 41
Heliacal rising November 25 (329) 136 177
Nakshatra day May 28 (148) 184 361
Culmination at midnight July 11 (192) 44 405

Furthermore, the midnight culmination of Castor was in February 23, which coincided with the position of the Mensis Intercalaris in the old Roman calendar:

... a 27-day intercalary month, the Mensis Intercalaris, was sometimes inserted between February and March. This intercalary month was formed by inserting 22 days after the first 23 or 24 days of February ...

Pollux (the immortal twin) rose in July 15 (= 60 days counted from the beginning of the manzil calendar).

Heka 5 6 (59) 7 8
July 13 14 15 (196) 16
Ca5-9 Ca5-10 Ca5-11 (116) Ca5-12
te hokohuki erua te marama te maitaki
no star listed Markab Puppis (114.7), Procyon (114.9) σ Gemini (115.7), Pollux (116.2) Azmidiske (117.4)

The 4 stars ('stones') of the 'chiastic structure' in Ca5-14 probably together illustrate the great Egyptian X asterism:

Heka 9 (63) 11 12
July 17 18 19 20 (201)
Ca5-13 Ca5-14 Ca5-15 (120) Ca5-16
te henua kua haga te mea ke manu puoko i tona ahi kua heu te huki
no stars listed Drus (119.9) Naos (121.3)

Phakt

α Columbae

2.65

34º 06' S

05h 38m

85.7

Procyon

α Canis Minoris 0.34 05° 21′ N 07h 37m 115.9

Betelgeuze

α Orionis

0.58

07° 24′ N

05h 52m

89.3

Naos

ζ Puppis 2.21 39° 52′ S 08h 02m 122.3

The nose of Canis Major (Sirius) should be where the pair of lines are crossing, but this most magnificent of stars is not visible in the design. Phakt rose 30 days before Procyon and Betelgeuze precisely 33 days before Naos. From Betelgeuze the journey appears to go south to the stern (puppis) of the Sunken Ship:

... In Plato's Timaeus, it is explained that the two bands that form the soul of the world cross each other like the letter Χ ...

The figure in Ca5-17 maybe should be read out as Ure Honu ('the penis of the turtle'):

Heka 13 Alhena 1 2 (68) 3
July 21 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
8h (121.7) Tegmine (123.3) Regor (123.7), Al Tarf (124.3) Bright Fire (125.4)
Heap of Fuel (122.1)

... Ure Honu stayed for a while, (then) he went away and covered the roof of his house in Vai Matā. It was a new house. He took the very large skull, which he had found at the head of the banana plantation, and hung it up in the new house. He tied it up in the framework of the roof (hahanga) and left it hanging there ...

The birth of St. John the Baptist was celebrated in June 24. Later came the Sons of Thunder (Boanerges), i.e. the twins St. James and St. John:

Alhena 4 5 6 (72)
St James' Day July 26 27 (208)
Ca5-21 (126) Ca5-22 Ca5-23
te Rei te manu te henua
Avior (126.4)  ο Ursa Majoris (127.4) θ Cancri (128.2), η Cancri (128.5)

The date to celebrate St James (the Great) was July 25 in Western Christianity, April 30 in Eastern Christianity, and December 30 in the Hispanic Church. On the other hand, St John (the apostle) was celebrated in December 27 according to all these church traditions. St George, who died in April 23 in the year 303 AD, was celebrated in April 23. (Source: Wikipedia)

Perhaps these saints (in a way still living spirits) inspired the creator of the C text to design a pair of special manu rere - one of them in RA day 33 - quite alike but not exactly so (just like twins):

Al Muakhar 5 6 7 (344)
St George's Day April 24 25 (115)
Ca2-7 (33) Ca2-8 Ca2-9
manu rere e tara tua tagata oho
no star listed Mira (33.7) no star listed

The tail of tara in April 24 is similar to the pair of 'tail ends' in Rei in July 25. From April 24 to July 25 there are 206 - 114 = 92 days, which could allude to the distance from equinox to the June solstice.

Tara in Ca2-8 could correspond to the position after Sun has spent 33 hours crossing the equator. 92 days later we will reach day 33 + 92 = 125 (= 5 * 5 * 5), where the star Bright Fire rose heliacally. We have earlier found number 125 connected with May 25 - where the G text is beginning - and this might possibly cast some light on the pair of twins in early May:

Alrescha 1 2 3 4 (354)
May 2 3 4 5 (125)
Ca2-16 Ca2-17 Ca2-18 Ca2-19 (45)
erua tamaiti ki te huaga o te hoi hatu e tagata poo pouo
τ² Eridani (41.7) no star listed Acamar (43.6) Menkar (44.7)

There are 60 days from erua tamaiti in line Ca2 to erua tamaiti in line Ca4.

Ca2-16 could have been used to allude to August 4 (216), when the Sirius manzil (Murzim) began:

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
no star listed π¹ Ursa Majoris, δ Hydrae (129.6), Al Minhar al Shujā, Museida (129.9), Beehive (130.4), Xestus (130.5) Ascellus Borealis (130.9), η Hydrae (131.0), Ascellus Australis (131.4)  Koo She (131.6),  ε Hydrae (131.9), ι Cancri (132.0), ρ Hydrae (132.4)
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
no star listed ζ Hydrae (134.1) Acubens, Talitha Borealis (135.0)  ρ Ursa Majoris (135.6), ν Cancri (136.0), Talitha Australis (136.1)

The manzil calendar is beginning the day after Gregorian day 136 and it could be significant that 136 + 80 = 216.