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Now we can try with Fum al Samakah (β Piscium) as the star 0º of Ibn 'Arab:

Saad Balaa 5 6 7 8 (293)
March 2 3 (63) 4 (429) 5
Ca13-4 Ca13-5 (348) Ca13-6 Ca13-7 (350)
tagata ma te kihikihi koia ra kua oho manu rere
τ Aquarii (345.7), μ Pegasi (345.9),  ι Cephei (346.0), γ Piscis Austrini, σ Pegasi, λ Aquarii (346.5) Scheat Aquarii (347.0), ρ Pegasi (347.2), δ Piscis Austrini (347.4) Fomalhaut (347.8), Fum al Samakah (348.3) Scheat Pegasi, π Piscis Austrini (349.3), Markab Pegasi (349.5)
September 2 3 4 5 (248)
Alterf 4 5 (140) 6 7
no star listed Alkes (165.6), Merak (166.2) 11h (167.4) no star listed
Dubhe (166.7)

4°17'09" (the star of the 2nd Spout) = 4.286º and 4.286 * 365¼ / 360 = 4.3 days after 348.3, which results in RA day 352.6.

And 17°08'34" (the star of the Belly of the Fish) = 17.143º and 17.143 * 365¼ / 360 = 17.4 or RA day 348.3 + 17.4 = 365.7.

Ibn 'Arab:
28 * 12.857º = 360.00º = 364 days
12.857º = 13 / 364 * 360º = 364 / 28 = 13 days
φ Aquarii (21.428º) - Sadachbia (8.571º) = 12.857º = 13 days
Al Batn al Hut (17.143º) - Al Fargh al Thani (4.286º) = 12.857º = 13 days
Al Fargh al Thani 4.286º / 360º * 365¼ = 4.3 days
Al Batn al Hut 17.143º / 360º * 365¼ = 17.4 days

Clearly Simma (γ Piscium) could be the 2nd Spout, 348.3 + 4.3 = 351.7 + 0.9:

Saad Balaa 9 10 (295) 11
March 6 7 (432) 8 (68)
Ca13-8 (351) Ca13-9 Ca13-10
kua moe koia i toona tahoga kua pu haki pu ka pu era
23h (350.0) π Cephei (350.6) Simmah (351.7), φ Aquarii (352.0), ψ Aquarii (352.4)
no star listed
September 6 7 (250) 8
Alterf 8 9 (144) 10
 Al Sharas (168.6), Zosma (169.2), Coxa (169.4) Alula (170.5)  Labrum (170.6)
Manzil Begins on Number of days Stars
20 Al Na'am, The Ostriches 16 Jan (381) 13 257 Ascella & Nunki (ζ, ς Sagittarii) 287.9, 288.4
21 Al Baldah, The City 29 Jan (394) 13 270 Al Baldah (π Sagittarii) 290.1
22 Al Sa'ad al Dabih, The Fortune of the Slayers 11 Febr (407) 15 285 Dabih (β Capricorni) 308.1
23 Al Sa'ad al Bula, The Fortune of the Swallower 26 Febr (422) 13 298 Albali (ε Aquarii) 314.8
24 Al Sa'ad al Su'ud, The Fortune of the Fortunate 11 March (435) 13 311 Sadalsud (β Aquarii) 325.9
25 Al Sa'ad al Ahbiyah, The Fortune of the Hidden 24 March (448) 13 324 Sadachbia (γ Aquarii) 338.6
26 Al Fargh al Mukdim, The First Spout 6 April (461) 13 337 φ Aquarii 352.0
27 Al Fargh al Thani, The Second Spout 19 April (474) 13 350 Simmah (γ Piscium) 351.7
28 Al Batn al Hut, The Belly of the Fish 2 May (487) 15 365 17°08'34" Pisces  

The star of the 2nd Spout (351.7) occurs practically at the same time as the star of the 1st Spout (352.0).

Counting according to Ibn 'Arab the 1st Spout could have been at 351.6 = 338.6 (Sadachbia) + 12.857º / 360º * 364.

But to reach the star at the Belly of the Fish we have to look for some star rising 351.6 + 13.0 - 362.4 (ω) = ca 2.2 days later than ω, some star without a Greek letter:

Looking again in Wikipedia I can find the following stars:

ω Piscium 23h 59m 18.60s 23h 59.310m 06° 52′ N 363.4 4.03
29 Piscium 00h 01m 49.44s 00h 01.824m 03° 02′ S 364.0 5.13
30 Piscium 00h 01m 57.59s 00h 01.960m 06° 01′ S 364.1 4.37
31 Piscium 00h 02m 24.17s 00h 02.403m 08° 57′ N 364.2 6.33
32 Piscium 00h 02m 29.76s 00h 02.496m 08° 29′ N 364.2 5.70
HD 6 Piscium 00h 05m 03.80s 00h 05.063m 00° 30′ S 364.9 6.32
33 Piscium 00h 05m 20.15s 00h 05.336m 05° 42′ S 364.9 4.61
4 Cet 00h 07m 44.10s 00h 07.735m 02° 33′ S 365.5 6.43
5 Cet 00h 08m 12.09s 00h 08.202m 02° 27′ S 365.7 6.18
34 Piscium 00h 10m 02.18s 00h 10.036m 11° 09′ N 366.1 5.54

HD refers to the Henry Draper Catalogue and Cet is the abbreviation for Cetus - modern man has changed the borders between the constellations. I have black-marked stars with a very low visual magnitude, suggesting we can disregard them.

Looking at the star chart there appears to be only one reasonable alternative, viz. the faint speck slightly later and above ω. If this is correct, then we can elmininate those stars which are below the equator and then there are only 32 and 34 to choose between. However, although 34 Piscium is closer to the target RA date 365.6 this star is too high up:

ω Piscium 23h 59m 18.60s 23h 59.310m 06° 52′ N 363.4 4.03
32 Piscium 00h 02m 29.76s 00h 02.496m 08° 29′ N 364.2 5.70
? Piscium       365.6  
34 Piscium 00h 10m 02.18s 00h 10.036m 11° 09′ N 366.1 5.54

There are only 0.8 days from ω instead of the expected 2.2.

363.2 (32) - 13.0 = 350.2.

In rongorongo times Sadachbia rose in February 23 (Terminalia) when Castor culminated and the distance to φ Aquarii (The First Spout) was around 352.0 - 338.6 = 13.4 days. However, February 29 (the leap day) will change the standard manzil measure from 13 to 14 days:

Saad Al Thabib 11 12 13  11
February 21 22 (53) 23 (Terminalia)
Ca12-21 Ca12-22 Ca12-23 (339)
te niu ku hakatu ua te maitaki - kupega tuku hia mai mata hakatuu
λ Piscis Austrini (336.8), ε Cephei (337.2), Ancha (337.4) ρ Aquarii (338.2) Sadachbia (338.6), π Aquarii (339.5)
Castor (419)
August 23 24 (236) 25
An Nathra 7 8 9 (101)
Simiram, Adhafera, Tania Borealis (154.7), Algieba, q Carinae (155.5) Tania Australis (156.0) μ Hydrae (157.1)
Saad Balaa 9 10 (295) 11
March 6 7 (432) 8 (68)
Ca13-8 (351) Ca13-9 Ca13-10
kua moe koia i toona tahoga kua pu haki pu ka pu era
23h (350.0) π Cephei (350.6) Simmah (351.7), φ Aquarii (352.0), ψ Aquarii (352.4)
no star listed
September 6 7 (250) 8
Alterf 8 9 (144) 10
 Al Sharas (168.6), Zosma (169.2), Coxa (169.4) Alula (170.5)  Labrum (170.6)

23h (after the leap day adjustment) marks day 23h / 24h * 365¼ = 350.0 and once upon a time this may have been the end of the year. 50 weeks = 350 days.