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6. The 'egg case' in Ga7-27 is at the very beginning of the 18th hour:

Ga7-26 Ga7-27 (*260) Ga7-28 Ga7-29 Ga7-30 (200)
  Sabik (259.7), Nodus I (260.0) Ras Algethi (260.8), Sarin (261.0)    
17h (258.7) '6 (340) '7 '8 '9
"3 "4 (277) "5 "6 "7

We need all the lettered stars of Scorpius rising heliacally in the 18th hour. In addition to Shaula (found in my astronomy book) there are 5 more:

Antares 16h 29m 24.47s 16h 29.408m 250.1
η 17h 12m 09.18s 17h 12.153m 260.9
υ 17h 30m 45.84s 17h 30.764m 265.7
θ 17h 37m 19.13s 17h 37.319m 267.3
κ 17h 42m 29.28s 17h 42.488m 268.6
ι 17h 47m 35.08s 17h 47.585m 269.9

18th hour:
Sabik η Ophiuchi 2.43 15° 40′ S 17h 08m 260.7
  η Scorpii 3.32 43° 14′ S 17h 09m 260.9
Nodus I ζ Draconis 3.17 65° 47′ N 17h 09m 261.0
Ras Algethi α Herculis 3.31 14° 27′ N 17h 12m 261.8
Sarin δ Herculis 3.12 24° 54′ N 17h 13m 262.0
Lesath υ Scorpii 2.70 37° 18′ S 17h 28m 265.7
Alwaid β Draconis 2.79 52° 20′ N 17h 29m 266.1
Maasym λ Herculis 4.41 26° 09′ N 17h 29m 266.1
Shaula λ Scorpii 1.62 37° 04′ S 17h 30m 266.3
Kuma ν Draconis 4.86 55° 13′ N 17h 31m 266.6
Ras Alhague α Ophiuchi 2.08 12° 36′ N 17h 33m 267.1
Sargas θ Scorpii 1.86 43° 00′ S 17h 34m 267.3
Girtab κ Scorpii 2.39 39° 02′ S 17h 39m 268.6
Kelb Alrai β Ophiuchi 2.76 04° 35′ N 17h 41m 269.1
Apollyon ι Scorpii 2.99 40° 08′ S 17h 44m 269.9
Pherkard δ Ursae Minoris 4.35 86° 37′ N 17h 48m 270.9
Etamin γ Draconis 2.24 51° 30′ N 17h 55m 272.7
Ga7-22 (192) Ga7-23 (*256) Ga7-24 Ga7-25 Ga7-26
Grafias (255.4)        
'December 1 (335) '2 '3 '4 17h (258.7)
"September 29 (272) "30 "October 1 "2 "3
Ga7-27 (*260) Ga7-28 Ga7-29 Ga7-30 (200)
Sabik (259.7), η Scorpii (259.9), Nodus I (260.0) Ras Algethi (260.8), Sarin (261.0)    
'6 (340) '7 '8 '9
"4 (277) "5 "6 "7
Ga7-31 Ga7-32 Ga7-33 (*266) Ga7-34 (204)
  Lesath-υ (264.7), Alwaid, Maasym (265.1), Shaula (265.3) Kuma (265.6), Ras Alhague (266.1), Sargas (266.3)  
'December 10 '11 '12 (346) '13
"October 8 "9 "10 "11 (284)
Ga8-1 Ga8-2 Ga8-3 Ga8-4 Ga8-5 Ga8-6
Girtab (267.6), Kelb Alrai (268.1) Apollyon (268.9)  Pherkard (269.9)   Etamin (271.7)  
'14 '15 '16 (350) '17 '18 '19
"12 "13 "14 "15 "16 "17 (290)

I have named Lesath in υ Scorpii Lesath-υ in order to distinguish it from Lesath in ν Scorpii, 20 days earlier and at the 1st of the ika hiku pair:

Ga7-11 Ga7-12 (182) Ga7-13 (*246) Ga7-14
Rutilicus (243.5) Lesath-ν (244.8) Yed Prior (245.5) Yed Posterior (246.6)
16h (243½) 'November 21 (325) '22 '23
"September 18 "19 (262) "20 "21

It could be significant that η Scorpii at the 2nd ika hiku is rising heliacally in the day after 17h (just as the 1st ika hiku is rising in the day after 16h):

Ga7-26 Ga7-27 (*260) Ga7-28 Ga7-29
  Sabik (259.7), η Scorpii (259.9), Nodus I (260.0) Ras Algethi (260.8), Sarin (261.0)  
17h (258.7) '6 (340) '7 '8
"3 "4 (277) "5 "11 (284)

In the first known painting of Easter Island there is a pattern with 3 intact and one who has lost his power (looking like the fingers of a buried hand):

(William Hodges, 1775)