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4. In the northern bowl the R string has 75 beads given that we count also those 12 at its end:

Northern bowl with 12 beads at the end of R discarded:
  L C R Sum
To the rim: 22 20 16 58
Inside the bowl: 24 10 14 48
Sum: 46 30 30 106
Inside the bowl: 17 19 33 69
Sum visible beads: 63 49 63 + 12 175 + 12
9 * 7 7 * 7 9 * 7 + 12 25 * 7 + 12

168 + 175 + 12 = 355 is probably referring to the day of winter solstice.

By counting from January 5 to summer solstice (north of the equator) there is room for 10 solstice days from December 14:

January 5 (5) June 21 (172) 168
June 22 (173) December 13 (347) 175
December 14 (348) December 23 (357) 10
December 24 (358) January 4 (369) 12

In Sweden the night of Lucia (cfr at Candlemas) occurs in December 13:

Ga7-18 Ga7-19 Ga7-20 Ga7-21 (191)
τ Scorpii (250.7)     Wei (254.3), Denebakrab (254.7)
'November 27 '28 '29 (333) '30
195 Syrma ends (196) Az Zubana begins 198
Ga7-22 Ga7-23 (*256) Ga7-24 (194)
Grafias (255.4)    Cujam (256.9)
'December 1 (335) '2 3
199 200 201
Ga7-25 Ga7-26
   
'December 4 17h (258.7)
202 203
Ga7-27 (*260) Ga7-28 Ga7-29 Ga7-30 (200)
Sabik (259.7), η Scorpii (259.9), Nodus I (260.0) π Herculis (260.7), Ras Algethi (260.8), Sarin (261.0)  ξ Ophiuchi (262.2), θ Ophiuchi, ν Serpentis (262.4)  ρ Herculis (262.9)
'December 6 (340) '7 '8 '9
204 205 206 207
Ga7-31 Ga7-32 Ga7-33 (*266) Ga7-34 (204)
σ Ophiuchi (263.6) Lesath-υ (264.7), Alwaid, Maasym (265.1), Shaula (265.3) Kuma (265.6), Ras Alhague (266.1), Sargas (266.3)  μ Ophiuchi (266.5), Nan Hae (266.6), ι Herculis (266.9)
'December 10 '11 '12 (346) '13
208 Az Zubana ends (209) Akleel begins 211
Ga8-1 Ga8-2 Ga8-3 Ga8-4 (*271) Ga8-5
Girtab, ο Serpentis (267.6), Kelb Alrai (268.1) Kew Ho (268.6), Apollyon (268.9), Muliphen (269.0) Basanismus (269.5), Pherkard (269.9) Rukbalgethi Genubi (271.1) ξ Herculis (271.5), ν Herculis,  Etamin (271.7), ν Ophiuchi (271.8), ζ Serpentis (272.4)
'December 14 '15 '16 (350) '17 '18
212 213 214 215 216
Ga8-6 (210) Ga8-7 Ga8-8 Ga8-9
τ Ophiuchi (272.9), 20 M. (273.0),  8 M. (273.3) Nash (273.7), Zhōngshān (274.0)   Polis (275.9)
'December 19 18h (273.9) '21 (355) '22
217 218 219 220
Ga8-10 (*277) Ga8-11 Ga8-12 (216)
24 M. (276.7), η Sagittarii (276.9) Kaus Medius (277.5), Tung Hae (277.7), Kaus Australis (278.3) Al Athfar (278.6), Kaus Borealis (279.3)
'December 23 '24 '25
221 Akleel ends (222) Qalb al Akraab begins
Ga8-13 (*280) Ga8-14 Ga8-15 Ga8-16
  κ Cor. Austr. (280.9), θ Cor. Austr. (281.0) Vega (281.8)  
'December 26 (360) '27 '28 '29
224 225 226 227
Ga8-17 Ga8-18 Ga8-19 Ga8-20 (224)
Double Double (283.7), ζ Lyrae (283.8), φ Sagittarii (284.1) Sheliak, ν Lyrae (285.1) Ain al Rami (286.2), δ Lyrae (286.3) Alya (286.6), ξ Sagittarii (287.1), Sulaphat (287.4)
'December 30 (364) '31 'January 1 '2
228 229 230 Qalb al Akraab 9 (231).
Ga8-21 (*288) Ga8-22 Ga8-23 Ga8-24 Ga8-25 (229)
λ Lyrae (287.7), Ascella (287.9), Nunki (288.4)  ζ Cor. Austr. (288.5), Manubrium (288.8), γ Cor. Austr. (289.3), τ Sagittarii (289.4) ι Lyrae (289.5), δ Cor. Austr. (289.8), Alphekka Meridiana, Al Baldah (290.1), β Cor. Austr. (290.2) Aladfar (291.1) Nodus II (291.5), ψ Sagittarii (291.6), θ Lyrae (291.8)
'January 3 19h (289.2) '5 (370) '6 '7
Shaula 1 2 3 4 5 (236)