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The great tagata in Ga4-1 probably indicates where a major division of time is ending ('fully grown'). Mago in Ga3-23 is positioned 2 / 5 of the way from equinox to day 365:

Ga3-23 (*146) Ga3-24 Ga4-1
 κ Hydrae (145.5), Subra (145.8), ψ Leonis (146.4) Ras Elaset Australis (146.6) υ¹ Hydrae (148.4)
'August 14 '15 '16
Murzim 11 12 13 (92)
Ga4-2 Ga4-3 (87) Ga4-4
Ras Elaset Borealis (148.7)  ν Leonis (150.1) π Leonis (150.6)
'August 17 (229) '18 '19
An Nathra 1 2 3

In addition to marking the last day of the Murzim manzil the position of tagata in Ga4-1 is a reflection of the day number for  'May 28, when Aldebaran was rising heliacally at the time of G. Twelve days earlier - in 'May 16 (136) - the Pleiades rose heliacally. From 'May 16 to 'August 4 (Murzim 1) there are 80 days, equal to the distance from 'May 28 to 'August 16 (Murzim 13):

April 30 120 40
May 16 136 56
28 148 68
31 151 71
June 21 172 92
30 181 101
July 31 212 132
August 4 216 136
16 228 148
31 243 163
Ga3-10 Ga3-11 Ga3-12 Ga3-13 (*136)
ζ Hydrae (134.1)   Acubens, Talitha Borealis (135)  ρ Ursa Majoris (135.6), ν Cancri (136.0), Talitha Australis (136.1)
'August 1 '2 '3 '4 (216)
11 12 Alhena 13 Murzim 1 (80)

A new season was evidently beginning ca 150 days beyond equinox:

"The manzil An Nathrah, the Gap in the hair under the muzzle of the supposed immense ancient Lion, was chiefly formed by Praesaepe ..." (Allen)

Praesaepe is the Beehive star (ε) in Cancer, which rose heliacally in 'July 29 at the time of G. This star is at Ga3-7, where we presumably are meant to read 3 * 7 = 21 as an allusion to the day number of 'July 29 (according to the Gregorian calendar). Counted from 'January 1 the Beehive marks the last day in 30 weeks:

Ga3-6 Ga3-7 (*130) Ga3-8 (68) Ga3-9
η Cancri (128.5 π¹ Ursa Majoris and δ Hydrae  (129.6), Al Minhar al Shujā and Museida (129.9), Beehive (130.4) Ascellus Borealis (130.9), η Hydrae (131.0), Ascellus Australis (131.4)  ε Hydrae (131.9), ι Cancri (132.0), ρ Hydrae (132.4)
'July 28 '29 (210) '30 '31
Alhena 7 (73) 8 9 10

Ga4-5 Ga4-6 (90) Ga4-7
υ² Hydrae (151.8), Al Jabhah (152.4) Regulus (152.7), λ Hydrae (153.2)  
'10h (152.2) 'August 21 (233) '22
An Nathra 4 5 6

Regulus is α Leonis and in the picture of Hevelius located where the heart of the Lion ought to be:

Ga4-8 Ga4-9 (*156) Ga4-10
Adhafera, Tania Borealis (154.7) Algieba (155.5), Tania Australis (156.0) μ Hydrae (157.1)
'August 23 '24 (236) '25
An Nathra 7 8 (100) 9
Ga4-11 Ga4-12 Ga4-13 (*160) Ga4-14 Ga4-15
  Shir (158.9) φ Hydrae (160.3)    
'August 26 '27 '28 (240) '29 '30 (242)
10 11 12 An Nathra 13 Alterf 1 (106)
Ga4-16 (100) Ga4-17 (*164) Ga4-18 Ga4-19
ν Hydrae (163.1)     Alkes (165.6), Merak (166.2)
'August 31 'September 1 '2 '3
Alterf 2 3 (108) 4 5

The 3rd Rei in the text coincides with day 108 in the manzil structure. Alterf is λ Leonis which at the time of G was rising heliacally in 'August 11 (80 days counted from Gb8-30 and at the first day of the 'Knot'):

Ga3-20 (80) Ga3-21 Ga3-22
ω Leonis (142.6), τ¹ Hydrae (142.7), Alterf, τ² Hydrae (143.4) ξ Leonis (143.5), A Hydrae (144.1) Ukdah (145.4)
'August 11 '12 '13 (225)
Murzim 8 9 10
The Knot (Ukdah)

Modern star charts has time increasing from right to left, and Alterf (λ Leonis) is in the mouth of the Lion. Perhaps it means the 'old year' is 'being devoured' (coming to its end). The manzil date Alterf 1 corresponds to 'August 30 - in the Gregorian day number 242, equal to the number of glyphs on side b of the tablet.

Ga4-20 (104) Ga4-21 (*168)
Dubhe (166.7)  
'11h (167.4) 'September 5 (248)
Alterf 6 (111) 7
Ga4-22 Ga4-23 Ga4-24 Ga4-25
 Al Sharas (168.6), Zosma (169.2), Coxa (169.4)   Alula (170.5), Labrum (170.6) λ Crateris (171.6), ε Crateris (171.9), γ Crateris, π Centauri (172.0)
'September 6 '7 '8 '9
Alterf 8 9 10 11
Ga4-26 Ga4-27 (111)
κ Crateris (172.5) ο¹ Centauri (173.8), ξ Hydrae (174.3)
'10 'September 11 (254)
12 Alterf 13 (118)

Alterf 13 coincides with the end of line a4 and 118 = 4 * 29½ (a quarter of the way to 472).

 42 * 7 (in Ga4-27) can be read as 42 weeks (= 294 days and 50 more than 254).