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Abhijit-22 at Lyra was ruled not only by the bright Vega (the nakshatra star close to the northern pole) but also by the star Double Double (ε close to the throat of the eagle), a name which sounds very much like an allusion to the Doublegood Pair (Gemini).

... In Hindu legend there was a mother goddess called Aditi, who had seven offspring. She is called 'Mother of the Gods'. Aditi, whose name means 'free, unbounded, infinity' was assigned in the ancient lists of constellations as the regent of the asterism Punarvasu. Punarvasu is dual in form and means 'The Doublegood Pair'. The singular form of this noun is used to refer to the star Pollux. It is not difficult to surmise that the other member of the Doublegood Pair was Castor. Then the constellation Punarvasu is quite equivalent to our Gemini, the Twins ...

But the heliacal head of Castor arrived not at the opposite side of Vega in June 27 (178 = 6 * 29½ + 1) but 15 days later, in July 12 (193).

Ga1-30 Ga2-1 Ga2-2 Ga2-3 (33) Ga2-4
 Furud (94.9) Well-22 no star listed (96) β Monocerotis, ν Gemini (97.0) no star listed (98)
δ Columbae (95.2), TEJAT POSTERIOR, Mirzam (95.4), CANOPUS (95.6), ε Monocerotis (95.7), ψ1 Aurigae (95.9)
June 23 ST JOHN'S EVE 25 26 (177) 27
ºJune 19 20 (*91) SOLSTICE 22 23
'May 27 28 (*68) 29 30 (*70) 31
'Vaitu Potu 27 28 (148) 29 30 (150) 31
"May 13 14 (*54) 15 (*55) 16 (136) 17
Purva Ashadha-20 Kaus Borealis (279.3) ν Pavonis (280.4), κ Cor. Austr. (280.9) Abhijit-22
KAUS MEDIUS, κ Lyrae (277.5), Tung Hae (277.7) KAUS AUSTRALIS (278.3), ξ Pavonis (278.4), Al Athfar (278.6) θ Cor. Austr. (281.0), VEGA (281.8)
December 23 (357) CHRISTMAS EVE 25 26 (360) 27
 ºDec 19 (*273) 20 SOLSTICE  22 23 (357)
'November 26 (*250) 27 28 29 30 (*254)
'Ko Ruti 26 27  28 29 (333) 30
"November 12 (*236) 13 14 15 16 (320)
Ga2-5 Ga2-6 Ga2-7 Ga2-8
ν Puppis (99.2), ψ3 Aurigae (99.4), ψ2 Aurigae (99.5)

Gemma

ψ4 Aurigae (100.5), Mebsuta (100.7) Sirius (101.2), ψ5 Aurigae (101.4), ν Gemini (101.6), ψ6 Aurigae (101.7) τ Puppis (102.2), ψ7 Aurigae (102.4)
June 28 29 30 July 1 (182)
ST JOHN'S EVE ºJune 25 26 (177) 27
'June 1 (*72) 2 3 4
'He Maro 1 2 3 (154) 4
"May 18 (*58) 19 20 (140) 21
no star listed (282) 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)

Atlas

Φ SAGITTARII (284.0), μ Cor. Austr. (284.6), η Cor. Austr., θ Pavonis (284.8)
December 28 29 30 (364) 31
CHRISTMAS EVE ºDecember 25 26 (360) 27
'December 1 2 3 (*257) 4
'Ko Koró 1 2 (336) 3 4
"November 17 18 19 20 (324)

The 'broken elbow' sign at left in Ga2-7 can be contrasted with the same type of sign in Cb2-5, where it is in front and thus maybe referring to how the old year is 'broken', implicitly with a new year lifted up (visualized as a great crescent in front):

May 14 (500) 15 16 (136) 17
Cb2-4 (420) Cb2-5 Cb2-6 Cb2-7
te ua koia ra kua tuku ki to mata - ki tona tukuga e kiore - henua - pa rei
no star listed (54) Al Thurayya-27 / Krittikā-3 / Hairy Head-18 Menkhib (57.6)

Porrima

Atiks, Rana (55.1), CELAENO, ELECTRA, TAYGETA (55.3), MAIA, ASTEROPE, MEROPE (55.6) ALCYONE (56.1), PLEIONE, ATLAS (56.3)
TAU-ONO

Atlas culminated at midnight in December 31 and with him rising heliacally at the beginning of the calendar Atlas could serve as the opposite pole compared to Vega at the end of the calendar.

December 31 (Atlas culminating at midnight) - December 27 (heliacal Vega) = 4 = 2 * 2 ('double double').

December 27 (361) - 136 (May 16) = 225 (= 15 * 15). However, with Cb2-6 probably corresponding to the day of heliacal Atlas, Ga2-6 could refer to the opposite side of the calendar, viz. to nakshatra Double-Double. December 29 (363) - 136 (May 16) = 227 = π.

363 December 29 Nakshatra Double-Double Ga2-6
136 May 16 Heliacal Atlas Cb2-6
227 (22 / 7 = π)