2) = 17,975 × 156 (156 = IV Kan - IV Ahau).
3) = 35,950 × 78 (78 = IV Ik - IV Ahau and IV Kan - IV Ik).
4) = 719 × 3900. We have already met with this 3900 above. Now, however, the 2,804,100 by virtue of its magnitude creates the suspicion that it may be composed of two ordinary large numbers. It might be
5) 1,308,580 + 1,495,520, therefore 14,380 (91 + 104).
6) 1,380,600 + 1,423,500, therefore 3,900 (354 + 365).
That is to say, the important 3900 multiplied by the days of the lunar year and also by those of the solar year, hence the 719, referred to under 4, separates into these two parts. The lunar year of 354 = 6 × 29 + 6 × 30 days was not unknown to the Mayas. We shall find its half, 177 days, several times on pages 51-58.
We might also use the two important numbers 14,040 and 18,980, the first of which is divisible by 260 and 360, and the second by 260 and 365, without remainder.
What future student will penetrate more deeply into the meaning and purpose of these numbers?
We might now expect to interpret also the upper right-hand corner of page 31, but here almost everything is in a deplorable state of obliteration. In the first three of the five columns over each of the three large numbers there was a date consisting of a numeral and a hieroglyph, but these admit of no certain nor even probable determination.
Four hieroglyphs still remain in the fourth column, respecting which compare my treatise "Zur Maya-Chronologie" in the Berliner Zeitschrift für Ethnologie XXIII, pp. 141-155.
In the top sign I recognize an Imix with a prefix and probably also a superfix. I think this denotes the period of 18,980 days.
I am forced to pass over the second entirely, inasmuch as a red 6 inserted in it remains a mystery (6 × 18,980 = 113,880?).
As I stated in the above-named work, I think the third is three times the sacred period of 2920, _i.e._, 8760 days.
Finally, the fourth sign certainly denotes the period of 7200 days.
Whether or not there was a fifth sign above the one now at the top is as uncertain as the meaning of the whole.
The most remarkable thing about it is that in three other passages of this Manuscript these three signs appear in close proximity to another. On page 61 we find the third in the 11th place in the second column, the first in the 12th place in the same column, and the fourth in the 14th place in the first column. Page 70 has the first sign in the middle of the 4th column; the second somewhat lower down in the 3d column and the 4th two places below. Finally all three signs appear in succession on the top of page 73 in the same order as on page 31.