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There are only 3 atariki glyphs in the text and atariki in Cb8-12 arrives 107 (= 396 - 289) days earlier than atariki in Cb12-16:

182 October 16 (289) 70 December 26 (360) 35 January 31 (396) 58
Cb8-12 (575/183) Cb11-2 (646/254) Cb12-16 (682/290)
72 36
108

Obviously we should here count from the beginning of side b rather than from the beginning of side a.

10 * 29 = 290 is at atariki in Cb12-16 and the number of glyphs on side b is 348 = 12 * 29. Atariki in October 16 (289) is 182 days later than April 17 (107) at Ca1-1.

396 - 289 = 289 - 182 = 107 (i.e. 396 = 214 + 182).

The central atariki is located at Gregorian day 360 = December 26, from where there were 36 days to January 31:

X-mas Day December 26 (360) 35 January 31 (396)
June 25 June 26 (360 - 183 = 177) August 1 (213)
Cb11-1 Cb11-2 (254) Cb12-16 (290)
Te kihikihi - tagata moe ki te ariki - te hokohuki e ariki kua iri
Al Athfar (278.6), Kaus Borealis (279.3) ν Pavonis (280.4) Baten Algiedi (315.8), μ Aquarii (316.0)
Canopus (95.6), ε Monocerotis (95.7), ψ1 Aurigae (95.9) β Monocerotis (97.0) no star listed

The figure in Cb11-2 has in font ihe tau (maybe = death point in time) which possibly meant a halfyear beginning in June 26 was ending in December 26.

The difference 360 (heliacal December 26) - 177 (heliacal June 26) = 183 days would be extended to 11 * 36 - 177 (= 6 * 29½) = 219 (= 3 * 73) days if we should measure from June 26 (177) to January 31 (396).

Arithmetical operations leads to April 16 (106) as the nakshatra day opposite to heliacal October 16 (289).

October 16 (289) 70 December 26 (360) 35 January 31 (396)
April 16 (289 - 183 = 106) June 26 (360 - 183 = 177) August 1 (213)
Cb8-12 (183) Cb11-2 (254) Cb12-16 (290)
71 36
108

However, we have earlier assumed nakshatra October 16 (289) to be opposite to heliacal April 17 (107):

April 17 (107) 18 19 173 October 10 (283) 171
October 16 17 (290) 18 April 10 (100)
Cb1-1 (393) Cb1-2 Cb1-3 Cb8-6 (177)
E tupu - ki roto o te hau tea vero hia
Al Sharatain-1 / Ashvini-1 / Bond-16 ι Arietis (28.0), λ Arietis (28.2) Alrisha, χ Phoenicis (29.2) Al Simāk-12 / Chitra-14 / Horn-1
Polaris, Baten Kaitos (26.6), Metallah (26.9), Segin, Mesarthim, ψ Phoenicis (27.2), SHERATAN, φ Phoenicis (27.4) SPICA, Alcor (202.7)
ν Centauri (208.7), μ Centauri, υ Bootis (208.8) Muphrid (210.1), ζ Centauri (210.3) φ Centauri (211.0), υ¹ Centauri (211.1) Ksora (20.1)
348 (= 12 * 29)

289 - 106 = 183 and 289 - 107 = 182, and 183 + 182 = 365. Therefore atariki in Cb8-12 should be connected with heliacal October 16 (289) and nakshatra April 16 (106).

I will here take the opportunity to update my earlier presentations for the time around the 1st atariki (glyph number 12 among these 29):

October 5 6 7 (280) 8 9
April 5 6 7 8 9 (99)
Cb8-1 (172) Cb8-2 Cb8-3 Cb8-4 Cb8-5
Hetu erua tagata rere ki te ragi te hokohuki te moko
13h (197.8)  Diadem (198.9), Al Dafīrah (199.4) σ Virginis (200.4) ι Centauri (201.4) Mizar (202.4)
ξ² Centauri (197.9),  Apami-Atsa (198.5) Sadalmelik (647)
1h (15.2) υ Phoenicis, ι Tucanae (15.6), ζ Phoenicis (15.7), Mirach (16.0), Anunitum (16.5)

Regulus (461)

Revati-28 κ Tucanae (17.6) no star listed
β Phoenicis (15.1) REVATI (16.9), ν Phoenicis (17.4)
October 10 11 (284) 12
April 10 (100) 11 12
Cb8-6 (177) Cb8-7 Cb8-8
vero hia tagata honui e ha mata
Al Simāk-12 / Chitra-14 / Horn-1 71 Virginis (203.6) Heze (205.0)
SPICA, Alcor (202.7)
Ksora (20.1) γ Phoenicis (20.8), δ Phoenicis (21.5) no star listed
October 13 14 15 (288)
April 13 14 (104) 15
Cb8-9 (180) Cb8-10 Cb8-11
te hokohuki - ma te maro te hokohuki ma te maro ka ke te manu ki te maro
ε Centauri (206.3) no star listed τ Bootis (208.2), Benetnash (208.5)
Achernar (23.3) no stars listed
October 16 (289)
April 16 (289 - 183 = 106)
Cb8-12 (183)
Te ariki
ν Centauri (208.7), μ Centauri, υ Bootis (208.8)
no star listed

The atariki type of glyph appears to mark a final. The stars ν and μ Centauri are close together at the back of the 'Cavalry Officer', and as Hevelius has drawn it halfway down from θ at his right shoulder and down to γ where his horse half is beginning:

Egyptian cobra in repose Phoenician nūn Greek nu Ν (ν)

... Nun is thought to have come from a pictogram of a snake (the Hebrew word for snake, nachash begins with a Nun and snake in Aramaic is nun) or eel.

Some have hypothesized a hieroglyph of a fish in water for its origin (in Arabic, nūn means large fish or whale). The Phoenician letter was named nūn 'fish', but the glyph has been suggested to descend from a hypothetical Proto-Canaanite nahš 'snake', based on the name in Ethiopic, ultimately from a hieroglyph representing a snake.

... Nahš in modern Arabic literally means 'bad luck'. The cognate letter in Ge'ez and descended Semitic languages of Ethiopia is nehas, which also means 'brass'.

Egyptian water ripples Phoenician mēm Greek mu Μ (μ)

Like a loon resting on the water ν is just above μ. The star name Nunki could have nūn as its first part, because Nunki (Eridu) marked the final of Land.

October 17 18 19 (292) 20 21
April 17 18 19 20 21 (111)
Cb8-13 Cb8-14 Cb8-15 Cb8-16 Cb8-17 (188)
hokohuki te inoino te hokohuki te inoino te vai noho
Muphrid (210.1), ζ Centauri (210.3) φ Centauri (211.0), υ¹ Centauri (211.1) υ² Centauri (211.8), τ Virginis (211.9), Agena (212.1). θ Apodis (212.5) 14h (213.1) no star listed
Thuban (212.8), χ Centauri (213.0), Menkent (213.1)
Al Sharatain-1 / Ashvini-1 / Bond-16 ι Arietis (28.0), λ Arietis (28.2) Alrisha, χ Phoenicis (29.2) 2h (30.4) no star listed
Polaris, Baten Kaitos (26.6), Metallah (26.9), Segin, Mesarthim, ψ Phoenicis (27.2), SHERATAN, φ Phoenicis (27.4) Alamak (29.7), κ Arietis (30.3), Hamal (30.5)
October 22 23 24 25 26 27 (300)
April 22 23 24 25 (115) 26 27
Cb8-18 Cb8-19 Cb8-20 Cb8-21 (192) Cb8-22 Cb8-23
te nuku te henua ma te nuku koia ia kua haga ia - kua huki koia ra - tona mea
Svāti-15 / Neck-2 Al Ghafr-13 ψ Centauri (216.6), ε Apodis (216.8) Asellus Primus (217.8), τ Lupi (218.1) φ Virginis (218.7), σ Lupi (219.1), ρ Bootis (219.5) Haris (219.7). σ Bootis (220.2), η Centauri (220.4)
Asellus Tertius, κ VIRGINIS, 14 Bootis (214.8), 15 Bootis (215.2) ARCTURUS (215.4), Asellus Secundus (215.5) SYRMA, λ Bootis (215.6), η Apodis (215.8), ι Lupi, 18 Bootis (216.3), Khambalia (216.4), υ Virginis (216.5)
η Arietis (31.9) θ Arietis (33.3) Mira (33.7)  ξ Arietis (35.0)

Fomalhaut (663)

 no stars listed
October 28 29 30 31 (304) Nov 1 2
April 28 29 30 (120) May 1 2 3
Cb8-24 Cb8-25 Cb8-26 Cb8-27 Cb8-28 Cb8-29 (200)
te maitaki kua hua te kahi te ahine poo puo ki te huaga ma te tara huki te kahi
ρ Lupi (221.0), Toliman (221.2) π Bootis (221.8), ζ Bootis (221.9), 31 Bootis (222.0), Yang Mun (222.1), Rijl al Awwa (222.5) ο Bootis (222.9), Izar (223.0), α Apodis, 109 Virginis (223.3) Zuben Elgenubi (224.2), ξ Bootis, ο Lupi (224.5) Kochab (225.0) Ke Kwan (226.3), Ke Kwan (226.4)
 ν Arietis (38.5) μ Arietis (39.4) Head of the Fly (39.6), Kaffaljidhma (39.8), ο Arietis (40.0), Angetenar (40.2) Bharani-2 / Stomach-17 ς Arietis, τ² Eridani (41.7) ρ Arietis (43.0)
Right Wing (40.9), π Arietis (41.2),  BHARANI (41.4)