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Another important factor for the creator of the G text could have been that the Pleiades would then rise with the Sun 8 days before the beginning of side a:

May 3 4 5 (125) 6
November 2 3 4 (308) 5
Gb8-10 Gb8-11 Gb8-12 (454) Gb8-13
ρ Arietis (43.0), Acamar (43.6), ε Arietis (43.7) Menkar (44.7) 3h (45.7) Misam (46.2), Botein (46.9)
Algol (45.9)
Ke Kwan (226.3), Ke Kwan (226.4), Zuben Elakribi (226.8)

Denebola

ω Bootis (227.2), Nekkar (227.3), Nadlat (227.8), π Lupi (227.9) 15h (228.3) κ Lupi (229.7), ζ Lupi (229.8)
Zuben Hakrabim (228.3), λ Lupi (228.9)
May 7 8 (128) 9
November 6 7 8 (312)
Gb8-14 Gb8-15 (457) Gb8-16
ζ Arietis (47.7)  Zibal (48.0) τ Arietis (49.7)
Al Zubānā-14b μ Lupi, γ Tr. Austr. (231.3) ο Cor. Borealis (232.0), δ Lupi (232.1), φ¹, ν² Lupi (232.2), ν¹ Lupi (232.3), ε Lupi (232.4), φ² Lupi (232.5), Pherkad (232.6), η Cor. Borealis (232.8), υ Lupi (232.9)
χ Bootis (230.3), Princeps (230.6), ZUBEN ELSCHEMALI (230.8)
May 10 (130) 11 12
November 9 10 (314) 11
Gb8-17 Gb8-18 (460) Gb8-19
Algenib Persei (50.0), ο Tauri (50.2), ξ Tauri (50.8) no stars listed
Alkalurops (233.1)

Gienah

Nusakan (234.0), κ¹ Apodis (234.3), ν Bootis (234.7) θ Cor. Borealis (235.3), γ Lupi (235.6), Gemma, Zuben Elakrab, Qin, ε Tr. Austr. (235.7), μ Cor. Borealis (235.8)
May 13 14 15 16 (136)
November 12 13 14 (318) 15
Gb8-20 Gb8-21 Gb8-22 (464) Gb8-23
no stars listed Al Thurayya-27 / Krittikā-3 / Legs-15
Atiks, Rana (55.1), CELAENO, ELECTRA, TAYGETA (55.3), MAIA, ASTEROPE, MEROPE (55.6) ALCYONE (56.1), PLEIONE, ATLAS (56.3)
TAU-ONO
φ Bootis (236.2), ω Lupi (236.3), ψ¹ Lupi (236.7), ζ Cor. Borealis (236.9)

Acrux

ι Serpentis (237.4),  γ Cor. Borealis (237.7), Unuk Elhaia (237.9) π Cor. Borealis, Cor Serpentis (238.1), Chow (238.6) κ Serpentis (239.3), δ Cor. Borealis, Tiānrǔ (239.5), χ Lupi, (239.6), ω Serpentis (239.7), Ba, χ Herculis (239.8). κ Cor. Borealis, ρ Serpentis (239.9)
May 17 18 19 (139)
November 16 17 18 (322)
Gb8-24 Gb8-25 Gb8-26 (468)
Menkhib (57.6) Zaurak (58.9) λ Tauri (59.3), ν Tauri (59.9)
β Tr. Austr. (240.3), κ Tr. Austr. (240.4), ρ Scorpii (240.8)

Porrima

Iklīl al Jabhah-15 / Anuradha-17 / Room-4  υ Herculis (242.3), ρ Cor. Borealis (242.4), ι Cor. Borealis (242.5), ξ Scorpii (242.7)
ξ Lupi, λ Cor. Borealis (241.1), Zheng (241.2), VRISCHIKA (241.3), ε Cor. Borealis (241.5), Dschubba (241.7), η Lupi (241.9)
May 20 21 22 23 (143)
November 19 20 (324) 21 22
Gb8-27 Gb8-28 Gb8-29 Gb8-30 (472)
4h (60.9) no star listed Beid (62.2) Al Dabarān-2
no star listed HYADUM I (63.4)
16h (243.5) ψ Scorpii (244.6), Lesath (244.8) χ Scorpii (245.1), Yed Prior, δ Tr. Austr. (245.5)

Vindemiatrix

Yed Posterior, Rukbalgethi Shemali (246.6). δ Apodis (246.7), ο Scorpii (246.8)
Acrab, Jabhat al Akrab (243.3), θ Lupi, Rutilicus (243.5), Marfik (243.7), φ Herculis (243.8)

Cor Caroli

May 24   25 26 (146)
November 23 24 25 (329)
no glyph
Ga1-1 (*65) Ga1-2
Hyadum II (64.2)  Net-19 no star listed 
θ² Tauri, AIN, θ¹ Tauri (65.7)
 Heart-5 ρ Ophiuchi (248.1), Kajam (248.3), χ Ophiuchi (248.5), She Low, ι Tr. Austr. (248.7), ζ Tr. Austr. (248.8) Al Kalb-16 / Jyeshtha-18
σ SCORPII (247.0), Hejian (247.2), ψ Ophiuchi (247.7) ANTARES (249.1), Marfik, φ Ophiuchi (249.5),  ω Ophiuchi (249.8)

I have assumed the name Tau-ono refers to the 6 first to rise of the more prominent stars in the star cluster.

But I guess the creator of the G text counted with the heliacal rising of 'the followers', the 3 even more important stars Alcyone, Pleione, and Atlas, when he defined the point of reference for counting 8 days to May 24.

Counting from the previous January 1 these 6 stars (Tau-ono) were returning after 500 days:

464 (Gb8-22) - 329 = 135 and 135 + 365 = 500.