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If we assume that the system of 31 periods (in G) of kiore - henua (with growing maro) basically describes the spring part of a solar year cycle, then we could guess that the face-to-face double bird glyph illustrates the time when the famous manu tara mates. According to G this event would then occur in the 4th period:

4
Ga3-17 Ga3-18 (78) Ga3-19

78 = 6 * 13, and from there 22 * 13 = 286 days remain to the end of the year:

77 26 258
Ga3-18 (78) Ga4-21 (105) Gb5-10 (364)
78 = 6 * 13 260 = 20 * 13

If we try with the bird type of manu kake, the mating pair comes on the other side and the result is not very convincing - 281 is a prime number, 282 = 6 * 47, and 283 is also a prime number:

16 281
Ga3-1 (61) Ga3-18 (78) Gb5-6 (360)
300 = 20 * 15