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Muphrid could evidently have been an important star, because it was - as I have reconstructed the text - at the first glyph on side b on the Mamari (Egg) tablet:

oJULY 29 (210) 30  31 oAUGUST 1
●AUGUST 3 4 5 6 (218)
AUGUST 14 15 16 17 (229)
Cb1-1 Cb1-2 Cb1-3 Cb1-4 (396)
E tupu - ki roto o te hau tea ki te henua - te maro
MUPHRID (210.1), ζ Centauri (210.3) φ Centauri (211.0), υ¹ Centauri (211.1), υ² Centauri (211.8), τ Virginis (211.9) Agena (212.1), θ Apodis (212.5), THUBAN (212.8) 14h (213.1)
π HYDRAE, χ Centauri (213.0), Menkent (213.1)
October 17 (290) 18 19 20
'September 20 21 Equinox 23 (266)
"September 6 7 8 9 (252)
oJULY 29 (210) 30  31 oAUGUST 1
●AUGUST 3 4 (216) 5 6
AUGUST 14 15 16 17 (229)
Ga6-6 Ga6-7 Ga6-8 (148) Ga6-9
MUPHRID (210.1), ζ Centauri (210.3) φ Centauri (211.0), υ¹ Centauri (211.1), υ² Centauri (211.8), τ Virginis (211.9) Agena (212.1), θ Apodis (212.5), THUBAN (212.8) 14h (213.1)
π HYDRAE, χ Centauri (213.0), Menkent (213.1)
October 17 (290) 18 19 20
'September 20 21 EQUINOX 23 (*186)
"September 6 7 (250) 8 9 (*172)

There are 392 glyphs on side a of the C tablet and 348 (= 12 * 29) on side b. The first 4 glyphs on side b could have been placed there because the left leg of Bootes should belong on the back side of the tablet:

Possibly the key number 29 was perceived as connected with October 17 (where 8 * 17 = 136). August 17 (8-17) was day 229 = 290 - 61, and side a on the G tablet carried 229 glyphs.

In order to reach oOctober 17 (290) we have to move 145 (= 290 / 2) beyond Ukdah and 80 days beyond Muphrid:

79 oMARCH 21 (80) 64 oMAY 25 (145) 64 oJULY 29 (210) 79 oOCTOBER 17 (290)
ELNATH UKDAH MUPHRID AL BALDAH
zero 5 * 13 5 * 13 80
80 210
290
oOCTOBER 10 11 12 (285) 13 14 15 (*208)
●OCTOBER 15 16 17 (290) 18 19 20 (*213)
OCTOBER 26 27 (300) 28 29 30 31 (*224)
Ga8-16 Ga8-17 (220) Ga8-18 Ga8-19 Ga8-20 Ga8-21
ζ Pavonis (283.4), λ Cor. Austr. (283.6), Double Double (283.7), ζ Lyrae (283.8) South Dipper-8 Sheliak, ν Lyrae (285.1), λ Pavonis (285.7) χ Oct. (286.0), Ain al Rami (286.2), δ Lyrae (286.3), κ Pavonis (286.5), Alya (286.6) ξ Sagittarii (287.1), ω Pavonis (287.3), ε Aquilae, ε Cor. Austr., Sulaphat (287.4), λ Lyrae (287.7), Ascella, Bered (Ant.) (287.9) Al Na'ām-18 / Uttara Ashadha-21
Φ SAGITTARII (284.0), μ Cor. Austr. (284.6), η Cor. Austr., θ Pavonis (284.8) NUNKI (288.4), ζ Cor. Austr. (288.5), Manubrium (288.8), ζ Aquilae (288.9)
December 29 30 (364) 31 January 1 2 3
'December 2 (336) 3 4 5 6 7 (*261)
"November 18 19 20 (324) 21 22 23 (*247)
NAKSHATRA DATES:
oAPRIL 11 (101) 12 13 14 15 16 (*26)
●APRIL 16 17 (107) 18 19 20 21 (*31)
APRIL 27 28 (118) 29 30 MAY 1 2 (*42)
SIRIUS (101.2), ψ5 Aurigae (101.4), ν Gemini (101.6), ψ6 Aurigae (101.7) τ Puppis (102.2), ψ7 Aurigae (102.4) θ Gemini (103.0), ψ8 Aurigae (103.2), Alhena (103.8), ψ9 Aurigae (103.9) Adara (104.8) ω Gemini (105.4), Alzirr (105.7), Muliphein, Mekbuda (105.8) 7h (106.5)
no star listed (106)
June 30 July 1 (182) 2 3 4 5
'June 3 4 (*75) 5 6 (157) 7 8
"May 20 21 (*61) 22 23 24 25 (145)
oOCTOBER 16 17 (290) 18 19 20
●OCTOBER 21 (*214) 22 (295) 23 24 25
NOVEMBER 1 (*225) 2 (306) 3 4 5
Ga8-22 Ga8-23 Ga8-24 (227) Ga8-25 Ga8-26
19h (289.2) Al Baldah-19 Aladfar (291.1), NODUS II (291.5), ψ Sagittarii (291.6), θ Lyrae (291.8) ω Aquilae (292.1), ρ Sagittarii (292.6), υ Sagittarii (292.7) Arkab Prior (293.0), Arkab Posterior, Alrami (293.2), χ Sagittarii (293.6)
λ Aquilae (Ant.) (289.1), γ Cor. Austr (289.3), τ Sagittarii (289.4), ι Lyrae (289.5), δ Cor. Austr. (289.8) AL BALDAH, Alphekka Meridiana (290.1), β Cor. Austr. (290.2)
January 4 5 (370) 6 7 8
'December 8 9 10 (*264) 11 (345) 12
"November 24 25 (329) 26 (*250) 27 28
NAKSHATRA DATES:
oAPRIL 17 (107) 18 19 (*29) 20 21
●APRIL 22 (112) 23 24 25 26 (*36)
MAY 3 (123) 4 5 (*45) 6 7
WEZEN (107.1), τ Gemini (107.7), δ Monocerotis (107.9) no star listed (108) λ Gemini (109.4), WASAT (109.8) no star listed (110) Aludra (111.1), Propus (111.4),  Gomeisa (111.6)
July 6 (187) 7 8 9 10
'June 9 (*80) 10 11 12 13 (164)
"May 26 27 28 (*68) 29 30 (150)

... To conclude these enquiries we may say that if Balder was indeed, as I have conjectured, a personification of a mistletoe-bearing oak, his death by a blow of the mistletoe might on the new theory be explained as a death by a stroke of lightning. So long as the mistletoe, in which the flame of the lightning smouldered, was suffered to remain among the boughs, so long no harm could befall the good and kindly god of the oak, who kept his life stowed away for safety between earth and heaven in the mysterious parasite; but when once that seat of his life, or of his death, was torn from the branch and hurled at the trunk, the tree fell - the god died - smitten by a thunderbolt.

And what we have said of Balder in the oak forests of Scandinavia may perhaps, with all due diffidence in a question so obscure and uncertain, be applied to the priest of Diana, the King of the Wood, at Aricia in the oak forests of Italy. He may have personated in flesh and blood the great Italian god of the sky, Jupiter, who had kindly come down from heaven in the lightning flash to dwell among men in the mistletoe - the thunder-besom - the Golden Bough - growing on the sacred oak in the dells of Nemi. If that was so, we need not wonder that the priest guarded with drawn sword the mystic bough which contained the god's life and his own. The goddess whom he served and married was herself, if I am right, no other than the Queen of Heaven, the true wife of the sky-god. For she, too, loved the solitude of the woods and the lonely hills, and sailing overhead on clear nights in the likeness of the silver moon looked down with pleasure on her own fair image reflected on the calm, the burnished surface of the lake, Diana's Mirror ...