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I guess the main reason for there being no manzil Saad Al Melik is that the star Sadalmelik was balancing exactly on the line for 22h (although with a lower right ascension value in some ancient time when this structural decision was taken):

The star ι Aquarii is practically also on this line which enabled me to draw the blue line for 22h.

The horizontal black-and-white line drawn by Hevelius is the ecliptic and in relation to the sky dome it is rising up towards declination 0º and reaching it not much later than at the end of Aquarius.

Al Baldaah 2 (259) 10 Al Baldaah 13 (270) 8 Saad Al Thabib 9 (279) 3 Saad Al Thabib 13 (283)
January 30 (395) February 10 (406) February 19 (415) February 23 (419)
Ca11-31 (315) Ca12-10 (326) Ca12-19 (335) Ca12-23 (339)
te inoino ki hukiga o te ra koia ra kua haga hia mata hakatuu
σ Pavonis (314.7), Albali (314.8) Alphirk (325.7), Sadalsud (325.9) 22h (334.8) Sadachbia (338.6), π Aquarii (339.5)
Sadalmelik (334.6), ι Aquarii (334.7), Alnair (335.1)
August 1 (213) August12 (224) August 21 (233) August 25 (237)
Alhena 11 (77) Murzim 9 (88) An Nathra 5 (97) An Nathra 9 (101)
no star listed A Hydrae (144.1) Regulus (152.7), λ Hydrae (153.2) μ Hydrae (157.1)

Therefore the nawaa Hameemain - a region in time - may have been ruled by stars rising later than 22h, such as Sadachbia (γ) at the right elbow:

Nawaa Manzil Begins on Number of days Stars
Ash Shabt (Sagittarius) 18 Al Naam 16 Jan (381) 13 257 Ascella & Nunki (ζ, ς)
19 Al Baldaah 29 Jan (394) 13 270 Al Baldah (π)
 
The Three Saads (Aquarius < 22h) 20 Saad Al Thabib 11 Febr (407) 15 285 Saad Al Thabih
21 Saad Balaa 26 Febr (422) 13 298 Albali (ε)
22 Saad Al Saud 11 March (435) 13 311 Sadalsud (β)
 22h  Sadalmelik (α)
Hameemain (Aquarius > 22h) 23 Saad Al Akhbia 24 March (448) 13 324 Sadachbia (γ)
24 Almuqaddam 6 April (461) 13 337 Almuqaddam

The star 'Saad Al Thabih' should then belong in the region < 22h and also rise earlier than Sadalsud (β) at the left shoulder of Aquarius.

In the Hindu list only Sadachbia (γ) at the right arm is mentioned:

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
26 Purva Bhādrapadā α and β Pegasi Swords or two front legs of funeral cot, man with two faces
27 Uttara Bhādrapadā γ Pegasi and α Andromedae Twins, back legs of funeral cot, snake in the water
28 Revati ζ Piscium Fish or a pair of fish, drum

There is no Aquarius star (worth mentioning) before ε (Albali), and therefore the star 'Saad Al Thabib' should be in some earlier constellation. The Hindu list mentions Lyra, Aquila, and the Dolphin between Sagittarius (clearly ending with Al Baldah, π) and Albali - 2 bird constellations and 1 'fish' constellation. But curiously Capricornus is not mentioned.

At the end of his cycle Sun maybe should be 'down with the fishes' and I have decided to investigate the Dolphin constellation in search for the star ruling the 20th manzil Saad Al Thabib. However, the Dolpin is not down in the 'Sea' but mysteriously up in the air: