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Our first Greek lettered star in Cancer is ω, maybe connected with Pollux:

Greek omega Ω (ω)

Omega  ...  is the 24th and last letter of the Greek alphabet. In the Greek numeric system, it has a value of 800. The word literally means 'great O' (ō mega, mega meaning 'great'), as opposed to omicron, which means 'little O' (o mikron, micron meaning 'little') ...

The form of the uppercase letter derives from that of an omicron (Ο) broken up at the side ... with the edges subsequently turned outward

The modern lowercase shape goes back to the uncial form

a form that developed during the 3rd century BC in ancient handwriting on papyrus, from a flattened-out form of the letter ... that had its edges curved even further upward

Possibly, I think, this flattened out form alluded to the high sky 'carapace' in summer. As to the 'broken up omikron' it could have been turned at is side as an allusion to the orientation of the Gemini pair. The uncial form could reflect a pair of twins joined together (at the star ω Gemini).

Heliacal view Nakshatra view
3 11
Ga2-19 Cb4-20 (*117) Cb5-9 (*129)
CASTOR (113.4) ALTAIR (300.3) τ Capricorni (312.6)
Ga2-22 Ga2-26 (*120) Ga3-9 (*132)
POLLUX (116.2) τ Aquilae (303.8) Baten Algiedi (315.8)
16 nights of invisibility visible
Ga2-24 Ga2-25 Ga2-26 Ga2-27 Ga2-28 (58) Ga2-29 Ga3-1
φ Gemini (118.4) Drus (119.9) ω Cancri (120.2) 8h (121.7) ρ Puppis (122.0), Heap of Fuel (122.1), ζ Monocerotis (122.3),  ψ Cancri (122.6), Regor (122.7) Tegmine (123.3) Al Tarf (124.3)

Ras Algethi

χ Gemini (121.0), Naos (121.3)
July 17 18 19 (200) 20 21 22 (7-22) 23
ºJuly 13 14 15 16 17 (*118) 18 19 (200)
'June 20 SOLSTICE 22 23 ST JOHN'S EVE 25 26
'He Maro 20 SOLSTICE 22 23 ST JOHN'S EVE 25 26 (177)
"June 6 7 (*78) 8 9 (160) 10 11 12
ι Sagittarii (301.2), Terebellum, ξ Aquilae (301.3), Alshain (301.6), φ Aquilae (301.8) ε Pavonis, θ Sagittarii (302.3), γ Sagittae (302.5), μ Pavonis (302.7) τ Aquilae (303.8) 20h (304.4) Shang Wei (305.2), θ Sagittae (305.4), Tseen Foo (305.6), ξ Capricorni (305.8) Tso Ke (306.3) Gredi (307.2), σ Capricorni (307.5), Alshat (307.9)
η Sagittae (304.2), δ Pavonis (304.4)
January 16 17 18 (383) 19 20 21 22
ºJan 12 13 (378) 14 15 (*300) 16 17 18
'Dec 20 SOLSTICE 22 23 (*277) CHRISTMAS EVE 25 26
'Ko Koró 20 SOLSTICE 22 23 CHRISTMAS EVE 25 26 (360)
"Dec 6 7 8 9 10 (*264) 11 12 (346)

The first of 32 glyphs similar to Ga3-5 is number 64 (= 8 * 8) counted from the beginning of the text and the 8th Hindu station was Pushya - the Nourisher, as if pointing to the role of the mother after a birth. July 27 was 128 (= 2 * 64) days from 0h.

CANCER:
8 Pushya γ, δ, and θ Cancri Cow's udder, lotus, arrow and circle  128 = 113 + 15
the nourisher Beehive July 27 (208)
Ga3-2 (*125) Ga3-3 Ga3-4 Ga3-5 (64)
χ Cancri (125.2), Bright Fire (125.4) Avior (126.4), φ Cancri (126.8) ο Ursa Majoris (127.4)  Pushya-8
υ Cancri (128.1), θ CANCRI (128.2), η Cancri (128.5)
July 24 25 26 27 (208)
ºJuly 20 (201) 21 (*122) 22 (7-22) 23
'June 27 (178) 28 29 (*100) 30
'He Maro 27 28 29 (180) 30
"June 13 (164) 14 15 (*86) 16
Al Sa’d al Dhabih-20 / Ox / Herd Boy-9 Okul (309.6), Bos (309.9)

Arneb

ο Capricorni (310.2), θ Cephei (310.5)

Alnilam

Rotten Melon, φ Pavonis (311.2), η Delphini (311.4), ζ Delphini, ρ Pavonis (311.7)

Phakt

DABIH (308.0), κ Sagittarii (308.1), Sadir (308.4), Peacock (308.7)
January 23 (388) 24 25 26
ºJan 19 (384) 20 (*305) 21 22
'December 27 28 29 30 (*284)
'Ko Koró 27 28 29 30 (364)
"December 13 14 (348) 15 16 (*270)

The 2nd of these 32 glyphs was at the opposite side of the sky compared the Belly of the Goat (Baten Algiedi) and I therefore named this position Belly of the Sun.

Ga3-6 Ga3-7 Ga3-8 Ga3-9 (68)
Āshleshā-9 / Willow-24 Al Nathrah-6 Extended Net-26a Belly of the Sun
π¹ Ursa Majoris, δ HYDRAE (129.6), Al Minhar al Shujā, Museida (129.9) BEEHIVE and M44 (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)
July 28 29 30 31 (212)
ºJuly 24 (*125) 25 26 27 (208)
'July 1 2 3 (*104) 4
'He Anakena 1 2 (183) 3 4
"June 17 (168) 18 19 20 (*91)
Rotanev, ι Delphini (312.3), τ Capricorni (312.6), κ Delphini (312.7), SVALOCIN, υ Capricorni, υ Pavonis (312.8) Deneb Cygni (313.5), β Pavonis (313.6), δ Delphini (313.8) Al Sa’d al Bula'-21 / Dhanishta-24 / Girl-10 Baten Algiedi (315.8)
Yue (314.3), Gienah Cygni, η Cephei (314.5), γ Delphini (314.6), σ Pavonis (314.7), ALBALI (314.8)

Betelgeuze

January 27 (392) 28 29 (*314) 30
ºJanuary 23 24 25 (*310) 26
'December 31 'January 1 2 3 (*288)
'Ko Koró 31 'Tua Haro 1 (366) 2 3
"December 17 18 19 (*273) 20 (354)

In the time of Bharani the northern summer solstice was 41 RA days earlier than at *133 and Ga3-10 has a Janus kind of hau tea in front - a solstice sign. When Bharani was at the solstice (and of course also at all other times) the Milky Way was not far above and possibly Perseus was a kind of link for the souls:

4 days later was the π glyph, at heliacal ξ Cancri and the beginning of the 7th Arab manzil Al Tarf (the End).

Egyptian djed Phoenician sāmekh Greek xi Ξ (ξ) 

... In rongorongo times the last Greek lettered star in Orion (ξ) rose with the Sun in June 21. The letter seems to have originated from the Phoenician letter samekh (tent peg, supporting prop), which in turn may have been derived from the ancient Egytian djed column ...

The last Greek lettered Cancer star in my list (π) rose 2 days later:

Ga3-10 Ga3-11 Ga3-12 Ga3-13 (72) Ga3-14 Ga3-15 Ga3-16
no star listed (133) ζ Hydrae (134.1), ρ Cancri (134.2), ο Cancri (134.6) Acubens, Talitha Borealis (135.0), σ Cancri (135.2), ρ Ursa Majoris (135.6) ν Cancri (136.0), Talitha Australis (136.1), ω Hydrae (136.8) 9h (137.0) no star listed (138) π Cancri (139.2), Miaplacidus (139.3), Tureis (139.8)
σ¹ Ursa Majoris (137.0), κ Cancri (137.3), τ Cancri (137.4), Alsuhail (137.5), σ² Ursa Majoris (137.6), τ Ursa Majoris (137.7), ξ Cancri (137.8)
August 1 2 3 4 (216) 5 6 7
ºJuly 28 29 30 31 ºAug 1 2 (214) 3 (*135)
'July 5 6 (*107) 7 8 9 (190) 10 11
'He Anakena 5 6 7 8 9 10 11 (192)
SOLSTICE "June 22 23 ST JOHN'S EVE 25 (*96) 26 (177) 27
μ Aquarii (316.0) ε Equulei (317.8) no star listed (318) 21h (319.6) χ Capricorni (320.0), ν Aquarii (320.3), γ Equulei (320.6), ο Pavonis (320.8) δ Equulei (321.7), φ Capricorni (321.8) Kitalpha (322.0), Alderamin (322.9)
Armus (319.0), Dorsum (319.3), Tsoo (319.7)
January 31 February 1 2 3 4 (400) 5 (36) 6
ºJan 27 28 (393) 29 (*314) 30 31 ºFebr 1 2
'January 4 5 (*290) 6 7 (372) 8 9 10
'Tua Haro 4 5 (370) 6 7 8 9 10
SOLSTICE "Dec 22 23 (*277) CHRISTMAS EVE 25 26 (360) 27
0 - Zero η Andromedae 11.4 April 1 (91) - 0
1 Al Sharatain Pair of Signs β Arietis (Sheratan), γ (Mesarthim) 27.4 April 17 (107) 16 16
2 Al Dabarān Follower α Tauri (Aldebaran), θ¹, θ²´, γ (Hyadum I), δ (Hyadum II), ε (Ain) 63.4 May 23 (143) 22 52
3 Al Hak'ah White Spot λ Orionis (Heka), φ¹, φ² 83.4 June 12 (163) 20 72
4 Al Han'ah Brand γ Gemini (Alhena), μ (Tejat Posterior), ν, η (Tejat Prior), ξ (Alzirr) 93.4 June 22 (173) 10 82
5 Al Dhirā' Forearm α Gemini (Castor), β (Pollux) 113.4 July 12 (193) 20 102
6 Al Nathrah Gap ε Cancri (Beehive) 130.4 July 29 (210) 17 119
7 Al Tarf End ξ Cancri, λ Leonis (Alterf) 143.4 August 11 (223) 13 132

The last 8 glyphs in line Ga3 should therefore not be directly connected with the Cancer constellation:

Ga3-17 Ga3-18 Ga3-19 Ga3-20 (80)
no star listed (140) Markab Velorum (141.5), Al Minhar al Asad (141.6) Star-25

ANA-HEU-HEU-PO

Al Tarf-7
ALPHARD (142.3), ω Leonis (142.6), τ¹ Hydrae (142.7) ψ Velorum (143.3), ALTERF, τ² Hydrae (143.4), ξ Leonis (143.5)
August 8 9 10 (222) 11
ºAugust 4 (216) 5 (*137) 6 7
'July 12 (193) 13 14 15 (*116)
'He Anakena 12 13 14 15 (196)
"June 28 29 (*100) 30 "July 1 (182)
Dai (323.5), β Equulei (323.8) γ Pavonis (324.1), Yan (324.6) Al Sa'd al Su'ud-22 / Emptiness-11 no star listed (326)
Tsin (325.2), Alphirk (325.7), SADALSUD, ξ Gruis (325.9)
February 7 (403) 8 9 (40) 10
ºFebruary 3 4 (400) 5 (36) 6 (*322)
'January 11 12 13 14 (*299)
'Tua Haro 11 12 13 (378) 14
"December 28 29 30 (364) 31 (*285)
Ga3-21 Ga3-22 Ga3-23 Ga3-24 (84)
A Hydrae (144.1)

Vega

Ukdah (145.4), κ Hydrae (145.5), Subra (145.8) ψ Leonis (146.4), Ras Elaset Australis (146.6) Vathorz Prior (147.9)
August 12 13 14 15 (227)
ºAugust 8 (220) 9 10 (*142) 11
'July 16 17 (*118) 18 19
'He Anakena 16 17 18 19 (200)
"July 2 3 (184) 4 (*105) 5
Castra (327.2), Bunda (327.5)

Sirius

Nashira (328.0), Azelfafage, κ Capricorni (328.7) Enif, Erakis (329.2), 46 Capricorni, Jih (329.3), ι Piscis Austrini (329.4), λ Capricorni (329.6), ν Cephei (329.7), Deneb Algiedi (329.8) θ Piscis Austrini (330.1)
February 11 12 (408) 13 14 (45)
ºFebruary 7 8 (*324) 9 (405) 10 (41)
'January 15 (*300) 16 17 18
'Tua Haro 15 16 17 18 (383)
"January 1 (366) 2 3 4 (*289)