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Let's now compare Allen's manzil list with the text in line Cb5:

Punarvasu 9 10 (96) 11
Heka 12 (65) 13 Alhena 1
July 20 21 (202) 22
Cb5-1 Cb5-2 (488) Cb5-3
Te ragi tagata - ragi kua hakagana - ki te maro
Naos (121.3), ρ Puppis (122.0) 8h (121.7) Regor (122.7), Tegmine (123.3)
Heap of Fuel (122.1)
Sravana 7 8 (280) 9
January 20 (385) 21 22
Al Naam 5 (249) 6 7
Shang Wei (305.2), θ Sagittae (305.4)  ξ Capricorni (305.8) Gredi (307.2), σ Capricorni (307.5)
Punarvasu 12 13 14 15 (101)
Alhena 2 3 4 (70) 5
July 23 24 25 (206) 26
Cb5-4 Cb5-5 Cb5-6 Cb5-7 (493)
tagata mau matagi ihe toga maa ura hia tagata maú kihikihi erua
Al Tarf (124.3) Bright Fire (125.4) Avior (126.4) ο Ursa Majoris (127.4)
Sravana 10 11 12 (284) Dhanishta 1
January 23 24 25 (390) 26
Al Naam 8 9 10 (254) 11
Alshat (307.9), Dabih (308.0), κ Sagittarii (308.1),  Sadir (308.4) Peacock (308.7) Okul (309.6), Bos (309.9), ο Capricorni (310.2), θ Cephei (310.5) Rotten Melon, φ Pavonis (311.2), η Delphini (311.4)
Pushya 1 2 Āshleshā 1 (104) 2 3
Alhena 6 7 (73) 8 9 10
July 27 28 29 (210) 30 31
Cb5-8 Cb5-9 (495) Cb5-10 Cb5-11 Cb5-12
te hoko huki kua kake te manu  puoko erua E nuku mata te kihikihi o te ariki - te hokohuki te hau tea
θ Cancri (128.2), η Cancri (128.5 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)
Dhanishta 2 3 4 5 6 (290)
January 27 28 (393) 29 (*314) 30 31
Al Naam 12 13 Al Baldaah 1 2 3 (260)
ζ Delphini, ρ Pavonis (311.7), Rotanev, ι Delphini (312.3) θ Delphini, τ Capricorni (312.6), κ Delphini (312.7),  Svalocin, υ Capricorni, υ Pavonis (312.8), Deneb Cygni (313.5) δ Delphini (313.8), β Pavonis (313.6), Yue (314.3), Gienah Cygni, η Cephei (314.5) γ Delphini (314.6), σ Pavonis (314.7), Albali (314.8) Baten Algiedi (315.8), μ Aquarii (316.0)
Āshleshā 4 5 (108) 6 7 8
Alhena 11 12 (78) 13 Murzim 1 2
August 1 2 3 4 (216) 5
Cb5-13 Cb5-14 (500) Cb5-15 Cb5-16 Cb5-17
te moa te maitaki te henua e gagata tu ki te huaga
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) 9h (137.0)
ω Hydrae (136.8), σ¹ Ursa Majoris (137.0), κ Cancri (137.3), Alsuhail (137.5)
Dhanishta 7 8 9 10 11 (295)
February 1 2 3 4 (400) 5
Al Baldaah 4 5 6 7 (264) 8
no star listed ε Equulei (317.8) Armus (319.0), Dorsum (319.3)  21h (319.6) γ Equulei (320.6), ο Pavonis (320.8)
χ Capricorni (320.0), ν Aquarii (320.3)
Āshleshā 9 10 11 12 (115)
Murzim 3 4 5 6 (85)
August 6 7 8 (220) 9
Cb5-18 Cb5-19 Cb5-20 (506) Cb5-21
koia ra kua mau ki toona mea erua rima noho i te harepure rima ma te hua  e ariki erua
σ² Ursa Majoris (137.6), τ Ursa Majoris (137.7), ξ Cancri (137.8) Miaplacidus (139.3) Tureis (139.8), Markab Velorum (140.5) no star listed
Dhanishta 12 13 14 15 (299)
February 6 7 (403) 8 9
Al Baldaah 9 10 11 (268) 12
δ Equulei (321.7), φ Capricorni (321.8), Kitalpha (322.0) Alderamin (322.9), Dai (323.5) β Equulei (323.8), γ Pavonis (324.1) Yan (324.6)

The heliacal stars in the interval from July 20 (201) up to and including August 9 (221), i.e. 3 weeks, were in the interval from RA day 201 - 80 = 121 up to and including RA day 141:

5 Al Dhirā' Forearm α (Castor), β Gemini (Pollux) 113.4 July 12 (193)
6 Al Nathrah Gap ε Cancri (Beehive) 130.4 July 29 (210)
7 Al Tarf End (Glance) ξ Cancri, λ Leonis (Alterf) 143.4 August 11 (223)

In my new little table I have chosen the RA day for Alterf instead of that for ξ Cancri (although this star is rising earlier), because the fraction (.4) agrees with the fractions for Castor and for the Beehive. There are 30.0 days from Castor to Alterf (= 7.0 + 23.0).

The 5th manzil (Al Dhirā', the Forearm), ruled by Castor and Pollux, ought to have ended with July 28, because in July 29 the Beehive rose with the Sun and this ought to be the beginning of the 6th manzil (Al Nathrah, the Gap in the Lion's mane). The 7th manzil (Al Tarf, the Glance) could have started with the heliacal rising of ξ Cancri (137.8) in August 6 (because the star Al Tarf, λ Leonis, did not rise with the Sun until in RA day 143.4). However, not only the fraction (.4) but also the name of the manzil points at a beginning in August 11, when Al Tarf rose with the Sun.

But Wikipedia has dates which seem to be quite irrelevant. For instance is the date Alhena 8 (74) assigned to July 29. I think the correct heliacal date should have been Al Nathrah 1 (or rather Al Nathrah 0 because time does not count until the 'hour' is full).

The nakshatra stars - rising with the Sun from January 20 (385) up to and including February 9 (405) - were in the interval from RA day 385 - 80 = 305 up to and including RA day 325:

19 Al Baldah City π Sagittarii 290.1 Januaru 5 (370)
20 Al Sa’d al Dhabih Lucky One of the Slaughterers α (Gredi), β Capricornii (Dabih) 308.0 January 23 (388)
21 Al Sa’d al Bula' Good Fortune of the Swallower ε (Albali), μ, ν Aquarii 314.8 January 30 (395)
22 Al Sa'ad al Su'ud Luckiest of the Lucky β (Sadalsud), ξ Aquarii (Bunda), c (46) Capricorni 325.9 February 10 (406)

Although Gredi was rising a day before Dabhi I have above chosen to redmark Dabih (and count from this star) because of the manzil name.

The last glyph in line Cb5 corresponds to August 9 (221) and its nakshatra date should  have been 221 + 184 = 405 (February 9). I think this nakshatra date ought to have been be Al Sa’d al Bula' 11 (= 405 - 394) - or more strictly according to the order of time: Al Sa’d al Bula' 10.

But Wikipedia has Al Baldaah 12.

Perhaps my new manzil dates (deduced from Allen's information) can be put in parallel with the glyphs on side b of Mamari. My suggested date Al Sa'ad al Su'ud 1 (or rather 0) for February 10 coincides with the 1st glyph in line Cb6.