1a) 12,489,781 1b) 12,388,121 12,412,920 12,412,920 ---------- ---------- 76,861 = 295 × 260 + 161 -24,799 = 95 × 260 + 99 XI Kan - III Chicchan = 161. III Chicchan - XI Kan = 99. 2a) 12,454,761 2b) 12,394,740 12,412,920 12,412,920 ---------- ---------- 41,841 = 160 × 260 + 241 -18,180 = 69 × 260 + 240 IX Kan - III Chicchan = 241. III Kan - IX Kan = 240. 3a) 12,438,810 3b) 12,466,942 12,412,920 12,412,920 ---------- ---------- 25,890 = 99 × 260 + 150 54,022 = 207 × 260 + 202 IX Kan - III Ix = 150. IX Kan - III Cimi = 202. 4a) 12,454,459 4b) = 2b 12,412,920 ---------- 41,539 = 159 × 260 + 199 IX Kan - XIII Akbal = 199. Where the serpent number is less than 12,412,920, I have had to place the last day before the initial day. The work of the Indian computer was, therefore, as follows:-- He took the days for granted. First he determined the differences between them; then he added to each difference a multiple of 260; and the choice of the multiple seems to have been quite arbitrary. The number thus obtained he added to 12,412,920, unless it was the smaller, in which case he subtracted it from 12,412,920, and the result he wrote down in the serpents. We shall find the same process, only somewhat amplified, with the serpent on page 69. Are the seven numbers intended to denote the destruction of the seven planets? I hope this question will be answered in the near future. There now remains of the contents of these pages only the two columns on the left of page 61, which we will now examine and at the same time compare them with the corresponding column of page 69, the upper part of which is exactly the same, and the lower very nearly so. Each column consists of 18 hieroglyphs, which I count from the top downward, designating those of the first column by _a_ and those of the second by b. At the first glance these double columns remind one of the inscriptions in the temples and on the stelae, especially of their beginnings, the so-called initial series. Here, in the second column, we find the statement of the usual periods:--144,000, 7200, 360, 20, 1, but in the first column we find faces belonging to them. In his work "The Archaic Maya Inscriptions," 1897, which, on the whole, contains more of imagination than of science, J. T. Goodman unqualifiedly declares these faces to be numbers by which the periods indicated beside them are to be multiplied, and this theory has already found considerable recognition; we will therefore try to follow where he leads.