8 seems really to be 1 Zec, but the composite prefixes demand further examination. Impenetrable darkness still shrouds the meaning of the whole group. Though it is clear that in several cases certain days are specified according to their position in the year, their distance apart does not agree with the interval between days IV Eb, IX Ix and IV Ahau under discussion here. If signs 3 and 4 ought to be read together as VIII Ahau 13 Yaxkin, then this date would come in the year 7 Muluc. In the Zeitschrift für Ethnologie I explained the five hieroglyphs in the third column at the bottom of page 70 (the third group) as civil years of 360 and astronomical years of 365 days:-- 1) 8,760 = 24 × 365 = 15 × 584 2) 2,920 = 8 × 365 = 5 × 584 3) 7,200 = 20 × 360 4) 18,720 = 52 × 360 = 72 × 260 5) 360 ------ 37,960. This, it is true, is a striking explanation and certainly a surprising one! Now the date IX Ix 12 Kayab is at the very bottom of the fourth column. This, without apparent reason, would refer to the year 4 Kan. Should it not be read IX Kan 12 Kayab (4 Ix), thus indicating that the entire passage is only the preparation for the date from which the serpent numbers proceed? The scribe may have had in mind the IX Ix of the series. The fourth and last group on page 73, above the two numbers 83,474 and 34,732, consists of four hieroglyphs. The two upper hieroglyphs on the left are effaced, and the top one on the right. I think it probable that the day VIII Ahau, which will be discussed later, may have stood in the top line, and possibly with a month date. Of the two remaining signs of the fourth group, the upper is the moon and the lower Imix, probably with the hieroglyph of the east as a prefix; but there is nothing to be done with it owing to the obliteration of the sign above it. In the Zeitschrift für Ethnologie, 1891, page 153, I have endeavored to explain these three signs on the right above 34,732, by suggesting for them the values 18,980 = 52 × 365 8,760 = 24 × 365 7,200 = 20 × 360 ------ 34,940 and calling special attention to the fact that between IV Eb and IV Ahau there are 208 days, and that the 34,732 placed below them in the Manuscript, increased by 208, is equal to 34,940. This group then seems really to belong to the day IV Eb and to the 65-series, while manifold problems are still to be encountered in interpreting the other groups. 4. The Large Numbers. The Manuscript offers material with which to work, beginning on page 70:-- 1,394,120 1,437,020 1,567,332 1,520,654 (606) (1646) IV Eb IX Ix IV Ahau IV Ahau VIII Ahau; 13 Yaxkin (7 Muluc). 8 Cumhu 8 Cumhu IX Ix IV Eb 1,201,200 1,202,240 111,554 101,812 (86) (208) IV Ahau IV Ahau 8 Cumhu 8 Cumhu This is followed at the right top of page 73 by