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10. These 5 glyphs are at the end of glyph line a1, although the month of 'June is far from over:

*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), Elnath (80.9) Nihal (81.7), Mintaka (82.4)  ε Columbae (82.6), Arneb (83.0), Heka (83.2)
'June 8 '9 '10 '11 '12 (163)
Pleione 9 10 11 12 13 (27)

I have positioned λ Leporis both in 'June 8 and 'June 9, first of all because the 'Tree' in *Ka1-20 has the same general outline as the 'inverted ω' forming the body of the bird in *Ka1-21. But maybe a female - the Hare, Lepus, is a signature on Moon - star ought to be represented by a pair of nights, especially if it is the dark (λ) new moon time.

Should not the end of a glyph line be a Sign? If so, then we presumably should look at the stars in the center of the 5-group above. Elnath is the 9th star on Chaucer's list and serves both in the Taurus constellation (as β) and in that of the Charioteer (as γ):

The tip of the northern horn of the Bull joins the right foot of the Charioteer. Taurus comes earlier than Auriga and the letter β comes before γ - time moves from Taurus to Auriga.

Chaucer had Elnath (β Tauri) as number 9 on his list instead of as number 2. But in the K text we can guess Hassaleh (ι) - at the left foot of the Charioteer and the 1st star on his list - indicates some connection with γ Aurigae:

11 (6)
Ka1-7 Ka1-8 Ka1-9 Ka1-10 *Ka1-22 (17)
  Hassaleh (73.6)   Bellatrix, Saif al Jabbar (80.7), Elnath (80.9)
'May 31 (151) 'June 1 2 3 6 'June 10
Pleione 1 (15) 2 3 4 11

If we count days the distance from Hassaleh to Elnath is a week, corresponding to the number of visible glyphs between Ka1-10 and *Ka1-22. Should we add also the vacant glyph places, the distance becomes 12 steps.

In G the corresponding glyph is number 17:

Ga1-15 Ga1-16 (*80) Ga1-17 Ga1-18 Ga1-19 (20)
  λ Leporis (79.6) Bellatrix, Saif al Jabbar (80.7), Elnath (80.9) Nihal (81.7), Mintaka (82.4)  ε Columbae (82.6), Arneb (83.0), Heka (83.2)
'June 8 '9 '10 '11 '12 (163)
Pleione 9 10 11 12 13

In G there is a maro string hanging down in front at Elnath, a sign which probably means 'final' and considering the contradictory K text we can guess the meaning at Elnath at *Ka1-22 is 'beginning'. I therefore feel inclined to change the name of the star in K to Alkab:

11 (6)
Ka1-7 Ka1-8 Ka1-9 Ka1-10 *Ka1-22 (17)
no stars Hassaleh (73.6)   Bellatrix, Saif al Jabbar (80.7), Alkab (80.9)
'May 31 (151) 'June 1 2 3 6 'June 10
Pleione 1 (15) 2 3 4 11

Possibly the K text describes the beginning of the Auriga constellation in contrast to how in Ga1-17 Elnath marks the end of Taurus.

Chaucer had Alkab as his name for Hassaleh (ι, at the left foot of the Charioteer) and according to Allen:

"γ, 2.1, brilliant white, was Al Ka'b dhi'l 'Inān, the Heel of the Rein-holder, of Arabian astronomy. so showing its location in the figure of Auriga."

For some reason the horn of the Bull is connecting to the left foot in this picture.