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Let's add stars from our star list to see if we can get some clues:

1 An Nathra 9 (101) 10 11 12 13
August 25 (237) 26 27 28 29
Ca6-17 (157) Ca6-18 Ca6-19 Ca6-20 Ca6-21
tagata oho rima - ki te marama koia kua oho ki te marama kua moe kua ka te ahi i te rima aueue - te ika
μ Hydrae (157.1) no star listed Shir (158.9) φ Hydrae (160.3) no star listed
Alterf 1 2 3 (108)
August 30 (242) 31 September 1
Ca6-22 Ca6-23 Ca6-24 (164)
te marama kua hua marama kua tuu i te kihikihi
Vathorz Posterior (162.1) η Carinae, Peregrini (162.6), ν Hydrae (163.1) no star listed

In the Chinese system, we should remember, the 26st lunar station is exceptional in relying on a pair of stars:

19 Net ε Tauri Crow
20 Turtle λ Orionis Monkey
21 Three Stars ζ Orionis Gibbon
22 Well μ Gemini Tapir
23 Ghost ρ Gemini ? Goat
24 Willow δ Hydrae Stag
25 Star α Hydrae Horse
26 Extended Net ε Hydrae / μ Hydrae Ox
27 Wings α Crateris Snake
28 Chariot γ Corvi Worm

This strengthens my suggestion that glyph 157 is at a cardinal point in time. In K this is described as a dark time:

... In the last 5 days of side a only old Saturn still has his 'head' intact:

Ka5-10 Ka5-11 Ka5-12 (*156) Ka5-13 Ka5-14 (92)
  no star listed Simiram, Adhafera, Tania Borealis (154.7), Algieba (155.5)  Tania Australis (156.0) μ Hydrae (157.1)  no star listed
August 22 23 24 (236) 25 26
An Nathra 6 7 8 (100) 9 10

... Possibly the original idea of the Extended Net was to keep the web of calendar time intact, in spite of 'turning the page'. However, in K the Net does not stretch quite so far, and instead the important 'separation' (Ð) apparently took place 8 days earlier with the heliacal rising of ν Leonis:

ε Hydrae Extended Net. 66
λ Leonis Inside. 77
ψ Leonis Cat's claw (action starts). 80
ν Leonis Separation. 84
August 18 (230)
α Leonis Fully in sight. 87
μ Hydrae End of Extended Net. 91
  Ka5-14 (*158) 92
August 26 (238)
ρ Leonis Opening of the Mouth. 93

The net presumably covers the 'secret' of how one generation changes into the next, but nets hardly hides anything at all (cfr The Scapegoat) ...

From the station of Heka (number 20) the Chinese map could be described as follows:

20 Turtle Head Heka (83.2) *Ka1-24 (19) June 12 (163) Pleione 13 (27)
Ga1-19 (20)
21 Three Stars Alnitak (84.7) (Ka1-3)  June 14 (165) Albatain 2 (29)
Ga1-21 (22)
22 Well Tejat Posterior (95.4)  Ka2-10 (29)  24 (St John's Day) Albatain 12 (39)
Ga2-1 (32)
23 Ghost ρ Gemini (112.1) (?)  Ka3-5 (46)  July 11 (192) Heka 3 (56)
Ga2-18 (49) 
24 Willow δ Hydrae (129.6) Ka4-2 (64) July 29 (210) Alhena 8 (74)
Ga3-7 (67)
25 Star Alphard (142.3) Ka4-14 (76) August 10 (222) Murzim 7 (86)
Ga3-19 (79)
26 Extended Net ε Hydrae (131.9) Ka4-4 (66) July 31 (212) Alhena 10 (76)
Ga3-9 (69)
μ Hydrae (157.1) Ka5-13 (91) August 25 (237) An Nathra 9 (101)
Ga4-10 (94)

This outstreched net could be meant to capture the Star, i.e. Alphard (α Hydrae) at the top of the mast of Argo Navis:

The Extended Net covers 157.1 - 131.9 = 25.2 days, beginning in July 31 (212) and ending in August 25 (237):

Side a

128 Alhena 7 8 9 (75) 10 23 An Nathra 8 9 (101) 235
July 28 29 30 31 August 24 25
Ca5-24 Ca5-25 Ca5-26 Ca5-27 Ca6-16 Ca6-17
156 (= 12 * 13) 236 (= 80 + 156)

The first 4 + 20 = 24 days of August could correspond to the 24 hours spent hidden up in the tree:

... Robur Carolinum, Charles' Oak, the Quercia of Italy and the Karlseiche of Germany, was formally published by Halley in 1679 in commemoration of the Royal Oak of his patron, Charles II, in which the king had lain hidden for twenty-four hours after his defeat by Cromwell in the battle of Worcester, on the 3rd of September 1651 ...

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)
Murzim 2 3 4
August 5 6 7
Ca5-32 Ca5-33 Ca5-34
e vaha noho ragi erua ahi
9h (137.0)  σ² Ursa Majoris (137.6), τ Ursa Majoris (137.7), ξ Cancri (137.8) Miaplacidus (139.3)
 ω Hydrae (136.8), σ¹ Ursa Majoris (137.0), κ Cancri (137.3), Alsuhail (137.5)
Murzim 5
August 8 (220)
Ca5-35
i te hau tea
Tureis (139.8)
Murzim 6 (85) 7 8
August 9 10 11
Ca6-1 Ca6-2 Ca6-3
Erua hau tea i te henua i te rima
Markab Velorum (141.5) Al Minhar al Asad (141.6), Alphard (142.3) ω Leonis (142.6), τ¹ Hydrae (142.7), ψ Velorum (143.3),  Alterf, τ² Hydrae (143.4), ξ Leonis (143.5)
Murzim 9 (88) 10 11
August 12 13 (225) 14
Ca6-4 Ca6-5 (145) Ca6-6
kua hau te haú o to hau tea kua hipu koia etoru hipu te henua ma te rima
A Hydrae (144.1) Ukdah (145.4), κ Hydrae (145.5) Subra (145.8), ψ Leonis (146.4)
Murzim 12 13 (92) An Nathra 1 2
August 15 16 17 18 (230)
Ca6-7 Ca6-8 Ca6-9 Ca6-10 (150)
etoru kiore te henua te rima
Ras Elaset Australis (146.6) Vathorz Prior (147.9), υ¹ Hydrae (148.4) Ras Elaset Borealis (148.7)  Tseen Ke (149.9), ν Leonis (150.1)
An Nathra 3 4 (96)
August 19 20 (232)
Ca6-11 Ca6-12 (152)
te heheu ke - te niu kua huri ki te vai
π Leonis (150.6) 10h (152.2)
Hanga Takaure
An Nathra 5 6 7 8 (100)
August 21 22 23 24 (236)
Ca6-13 Ca6-14 Ca6-15 Ca6-16 (156)
manu teketeke ki ruga takaure kua aha te takaure i te henua ma te rima
Sadalmelik (334.6)      
 Regulus (152.7), λ Hydrae (153.2)  no star listed Simiram, Adhafera, Tania Borealis (154.7), Algieba (155.5) Tania Australis(156.0)