1) 55.13. 2.13. 3. 1. 6 tuns 299 days to end of Katun 13 Ahau. 2) 55. 9.17.14.11. 1. 5 " 139 " " " " 3) 57. 2.14.13.16. 1. 6 " 39 " " " " In no one of the cases is the date 9 Ymix 19 Zip exactly 6 tuns before the end of the Katun 13 Ahau, but it is possible that the annalist took no account of fractions of tuns, either in excess of the 6 tuns or otherwise. Thus in the first and last cases of the three, as first given, he may have said to himself, "There are but 6 whole tuns remaining of the katun and I will call it 6," or in the second case he may have said: "There are 5 tuns remaining and 139 days besides; I will call it 6 tuns." Whichever was the plan he followed, we can have at present no means of ascertaining except from the results which we obtain by calculation. The date found on Stela 9 of Copan, which is the earliest date of these stelæ of that place, in which the numbers preceding the period glyphs are given by the line-and-dot method, is 54.9.6.10.0.0. This precedes the above dates by the following periods: 1) 0.3.16.3. 3.1. = 548,341 days = 1,502 years 111 days. 2) 1.0.11.4.11.1 = 1,952,861 " = 5,350 " 14 " 3) 2.6. 8.3.16.1 = 4,667,001 " = 12,786 " 111 " If, now, we accept the first date of 55.13.2.13.3.1. as the date of Ahpula's death, we shall have the date of Stela 9 of Copan as A.D. 34, since the death occurred in 1536. If we accept the second date, 55.9.17.14.11.1., as the true one, Stela 9 must represent a date of B.C. 3814, and in the case of the third date, 57.2.14.13.16.1. in which the period to elapse to the end of Katun 13 Ahau is the nearest to an exact 6 tuns, we should throw back Copan to B.C. 11,250. It is not probable, however, that either of the last two dates is correct, both because of the immense time which would have elapsed and because the monuments show signs of no such age. We are therefore left to the date A.D. 34 as the probable date of the earliest stela of Copan which we know of at present. The following table gives the earliest and latest dates in Copan and Quirigua as far as we know them, together with the dates of our calendar corresponding thereto, on the supposition that the above date is rightly deciphered: Copan: Stela 9, 9. 6.10.0.0 A.D. 34. " N, 9.16.10.0.0 = 197 years later than A.D. 34 A.D. 231. Quirigua: " C, 9. 1. 0.0.0 = 108 + " earlier " " say B.C. 75. " K, 9.18.15.0.0 = 241 + " later " " A.D. 275. If this is correct, Copan lasted, so far as the erection of stelæ is concerned, for about 200 years, and Quirigua for about 350 years, though of course this may be only a small part of the period of their existence.