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13. Below I have adjusted (and redmarked) the positions of a few stars according to the pattern of Saiph and Theemin:

*Ka1-20 (15) *Ka1-21 (*80) *Ka1-22 (17) *Ka1-23 (18) *Ka1-24 (19)
  λ Leporis (79.6) Bellatrix, Saif al Jabbar (80.7), Alkab (80.9) Nihal (81.7), Mintaka (82.4)  ε Columbae (82.6), Arneb (83.0), Heka (83.2), Hatysa (83.5)
'June 8 '9 '10 '11 '12 (163)
Pleione 9 10 11 12 13 (27)
Ka2-1 (20) Ka2-2 (*85) Ka2-3 Ka2-4
Alnilam (83.7), Heavenly Gate (84.0) Alnitak, Phakt (Phaet), (84.7) γ Leporis (85.9), Saiph (86.5) ζ Leporis (86.6)
'June 13 '14 '15 (166) '16
Albatain 1 2 (29) 3 4
Ka2-5 (*88) Ka2-6 (25) Ka2-7 Ka2-8 Ka2-9
Wezn (87.6), δ Leporis (87.7), Betelgeuze (88.3) η Leporis (89.0), Praja-pāti, Menkalinan, Mahashim, and γ Columbae (89.3) η Columbae (89.7), μ Orionis (90.3), χ² Orionis (90.5)  ν Orionis (91.4) ξ Orionis (92.5)
'June 17 '18 '19 '6h (91.3) '21 (172)
Albatain 5 6 7 8 9 (36)

The last of the Greek lettered stars in Orion is ξ, and by my operation it will now be at tagata in 'June 21. The Orion constellation is completed. Wikipedia:

" ... Xi (uppercase Ξ, lowercase ξ) is the 14th letter of the Greek alphabet ... In the system of Greek numerals, it has a value of 60. Xi was derived from the Phoenician letter samekh ...

... The origin of Samekh is unclear. The Phoenician letter may continue a glyph from the Middle Bronze Age alphabets, either based on a hieroglyph for a tent peg / some kind of prop (s'mikhah ... in modern Hebrew means to support), and thus may be derived from the Egyptian hieroglyph djed ..."

"... In the myth of Osiris and Isis, Osiris was killed by Set by being tricked into a coffin made to fit Osiris exactly. Set then had the coffin with the now deceased Osiris flung into the Nile. The coffin was carried by the Nile to the ocean and on to the city of Byblos in Syria. It ran aground and a sacred tree took root and rapidly grew around the coffin, enclosing the coffin within its trunk. The king of the land, intrigued by the tree's quick growth, ordered the tree cut down and installed as a pillar in his palace, unaware that the tree contained Osiris's body. Meanwhile, Isis searched for Osiris aided by Anubis, and came to know of Osiris's location in Byblos. Isis maneuvered herself into the favor of the king and queen and was granted a boon. She asked for the pillar in the palace hall, and upon being granted it, extracted the coffin from the pillar. She then consecrated the pillar, anointing it with myrrh and wrapping it in linen. This pillar came to be known as the pillar of djed ..."

The 'Nile' in the myth must obviously refer to the Milky Way and the right hand of Orion (ξ) touches this great River:

"... ξ being the radiant point of the fine meteor stream, the Orionids, of the 18th of October." (Allen)

October 18 is Gregorian day 291.

The strange idea of a God being incorporated in a coffin which becomes a Tree is explained in Mayan mythology, where the King is (or becomes) the Milky Way when it stands up:

... I stared at the screaming birds as they fought for positions among the flowers and the hovering drone of thousands of bees. How beautiful, I thought, and then my gaze happened to settle on the trunk of the tree. It had thorns and it bulged just above the ground. It was a young ceiba tree. 

I already knew that the ceiba tree was the model for the sacred World Tree of the Maya, but I had never seen one in flower when I knew what I was looking at. I was really excited because normally you can't see the blossoms even if you're there when the tree is in blossom. The fully mature trees are hundreds of feet high, and the blossoms are very small ...

'Will you look at these?' she said, waving the branch, and finally I did. What I saw stunned me, for in her hand lay a perfect replica of the earflares worn by the Classic Maya kings. Suddenly I understood the full symbolism of so many of the things I had been studying for years. The kings dressed themselves as the Wakah-Chan tree, although at the time I didn't know it was also the Milky Way ....

(See at Parehe.)

Maybe the 'tree' in *Ka1-20 visualizes how south of the equator the World Tree in June is casting shadows, how it is a 'Shadow King' (atariki).