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The 6th text line is perhaps in a way beginning not only 4 days earlier than with glyph Ca6-1 but 15 days earlier - with te Rei and St James' day - i.e. 4 days later than the ure honu glyph (with Heap of Fuel and 8h):

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)
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)
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)
Murzim 2 3 4 5 6 (85) 7 8
August 5 6 7 8 9 (221) 10 11
Ca5-32 Ca5-33 Ca5-34 Ca5-35 Ca6-1 Ca6-2 Ca6-3
e vaha noho ragi erua ahi i te hau tea Erua hau tea i te henua i te rima
9h (137.0)            
Murzim 9 (88) 10 11
August 12 13 (225) 14
Ca6-4 Ca6-5 (145) Ca6-6
kua hau te haś o to hau tea kua hipu koia etoru hipu te henua ma te rima
     
Murzim 12 13 (92) An Nathra 1 2
August 15 16 17 18 (230)
Ca6-7 Ca6-8 Ca6-9 Ca6-10 (150)
etoru kiori te henua te rima
       
An Nathra 3 4 5 6 7 8 (100)
August 19 20 21 22 23 24 (236)
Ca6-11 Ca6-12 Ca6-13 Ca6-14 Ca6-15 Ca6-16 (156)
te heheu ke - te niu kua huri ki te vai manu teketeke ki ruga takaure kua aha te takaure i te henua ma te rima
  10h (152.2)        
 
This my conclusion is drawn from the fact that with Ca6-17 the so-called Moon calendar is beginning. I will not begin to present this well ordered calendar until later, when considering the contents of line Ca7.
 
Above, then, there are 157 (= 314 / 2) - 137 = 20 new glyphs for contemplation. The Gilbertese Polynesians counted their months as 20 nights and the first manzil day (Sheratan 1) occurred 137 days after December 31.