We come now to the five columns, three on page 63 and two on page 62, which join this series on the left. They contain the large numbers, which invariably accompany these series. Here there are six numbers, four of which, in my opinion, refer to the past and two to the future. Two of these numbers, the two largest, are set down together in the third column on page 63, one with red numbers and the other with black. Of these black numbers, I take the second from the top to be not 8 but 13, assuming that a line is omitted. The normal date IV Ahau 8 Cumhu from which, as the starting-point, all these numbers are to be computed, is set down below at the end of each of the five columns.
I now give the six numbers, first the two highest, then the other four from right to left, adding in each case the calendar date and the year in which they should be situated:--
1,538,342; IV Ik 15 Zac (12 Muluc). 1,535,004; VII Kan 2 Chen (3 Kan). 1,268,540; IV Ahau 8 Mol (1 Ix). 1,234,220; IV Ahau 18 Kayab (11 Kan). 1,272,544; IV Kan 17 Yaxkin (12 Muluc). 1,272,921; IV Imix 9 Mol (13 Ix).
The first, third and fifth numbers are already known from page 31a, and hence they need no further discussion here.
As these three numbers depend on the day XIII Akbal, so the other three all proceed from the day III Chicchan in the following positions, which are again suppressed in the Manuscript:--
1,483,585 = III Chicchan 8 Zac (5 Cauac). 1,233,985 = III Chicchan 8 Kankin (10 Cauac). 1,272,465 = III Chicchan 18 Zip (12 Muluc).
The second date in the manuscript is 13 Kankin and the third is 13 Zip; hence there is one line too many in the former number and one too few in the latter. While on page 31a the origin of the numbers belonging to the day XIII Akbal seems to be quite clear, here their relation to one another is entirely concealed. I must, therefore, refrain from expressing any conjecture in regard to them.
Now the numbers set down in the Manuscript are formed only by the addition of the encircled numbers also found there. The encircled number for the first expressed number is 51,419, which is the same number we found with the corresponding day XIII Akbal; the second has 235 and the third 456 = 260 + 196. The 51,419 was 197 × 260 + 199; but 199 is the interval from III Chicchan to VII Kan, just as it is from XIII Akbal to IV Ik. The 235 is the interval between III Chicchan and IV Ahau and the 196 that from III Chicchan and IV Imix.