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I will now complete my star list with the rest of the Dolphin constellation:

ε 20h 33m 12.76s 20h 33.213m 312.2
η 20h 33m 57.00s 20h 33.950m 312.4
ζ 20h 35m 18.51s 20h 35.309m 312.7
ι 20h 37m 49.10s 20h 37.818m 313.3
θ 20h 38m 43.98s 20h 38.733m 313.6
κ 20h 39m 07.59s 20h 39.127m 313.7
Svalocin 20h 39m 38.25s 20h 39.638m 313.8
Rotten Melon ε Delphini 4.03 11° 18′ N 20h 31m 312.2
  η Delphini 5.39 13° 02′ N 20h 32m 312.4
  ζ Delphini 4.64 14° 40′ N 20h 33m 312.7
  ι Delphini 5.42 11° 23′ N 20h 35m 313.3
  θ Delphini 5.69 13° 19′ N 20h 36m 313.6
  κ Delphini 5.07 10° 05′ N 20h 37m 313.7

"ε, a 4th-magnitude, although lying near the dorsal fin of our present figure, bears the very common name Deneb, from Al Dhanab al Dulfim, the Dolphin's Tail.

But in Arabia it also was Al Amūd al Salīb, as marking the Pillar of the Cross.

In China it was Pae Chaou, the Rotten Melon." (Allen)

"In Polynesia, two cultures recognized Delphinus as a constellation. On Pukapuka, it was called Te Toloa and in the Tuamotus, it was called Te Uru-o-tiki." (Wikipedia)

Al Naam 11 12 (256) 13 Al Baldaah 1
January 26 27 (392) 28 29
Ca11-27 Ca11-28 Ca11-29 Ca11-30 (314)
etoru inoino te hokohuki - kua haga te mata o te moko
φ Pavonis, Rotten Melon (311.2), η Delphini (311.4) ρ Pavonis, ζ Delphini (311.7), Rotanev, ι Delphini (312.3) τ Capricorni, θ Delphini (312.6), Svalocin, κ Delphini (312.7), υ Capricorni, υ Pavonis (312.8), Deneb Cygni (313.5) β Pavonis (313.6), δ Delphini (313.8), Yue (314.3), Gienah Cygni (314.5)
July 28 29 (210) 30 31
Alhena 7 8 9 (75) 10
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)
Al Baldaah 2 (259)
January 30 (395)
Ca11-31 (315)
te inoino
γ Delphini (314.6), σ Pavonis (314.7), Albali (314.8)
August 1 (213)
Alhena 11 (77)
no star listed

If we assume 29 was a basic time measure in the rongorongo texts, then the last of the 4 + 1 days which the Dolphin stars were occupying in the C text could be meaningfully coordinated with e.g. the nakshatra dates:

August 1 (213) + Alhena 11 (77) = 290. This occurred in RA day 314.

314 - 213 = 101 (Sirius) and 314 - 290 = 24 (Dhanishta):

20 Purva Ashadha δ and ε Sagittarii Elephant tusk, fan, winnowing basket
21 Uttara Ashadha ζ and σ Sagittarii Elephant tusk, small bed
22 Abhijit α, ε, and ζ Lyrae -
23 Sravana α, β, and γ Aquilae Ear or Three Footprints
24 Dhanishta α - δ Delphini Drum or flute
25 Shatabisha γ Aquarii Empty circle, 1000 flowers or stars