It should be noted in this connection that Cycle-10 Initial Series are occasionally recorded in the Dresden Codex, though the dates in these cases are all later than those recorded on the Chichen Itza lintel and the Quen Santo stelæ. Before closing the presentation of Initial-series texts it is first necessary to discuss two very unusual and highly irregular examples of this method of dating, namely, the Initial Series from the east side of Stela C at Quirigua and the Initial Series from the tablet in the Temple of the Cross at Palenque. The dates recorded in these two texts, so far as known,[174] are the only ones which are not counted from the starting point of Maya chronology, the date 4 Ahau 8 Cumhu. In figure 77, _A_, is shown the Initial Series on the east side of Stela C at Quirigua.[175] The introducing glyph appears in A1-B2, and is followed by the Initial-series number in A3-A5. The student will easily read this as 13.0.0.0.0. Reducing this number to units of the first order by means of Table XIII, we have: A3 = 13 × 144,000 = 1,872,000 B3 = 0 × 7,200 = 0 A4 = 0 × 360 = 0 B4 = 0 × 20 = 0 A5 = 0 × 1 = 0 --------- 1,872,000 Deducting from this number all the Calendar Rounds possible, 98[176] (see Table XVI), and applying rules 1, 2, and 3 (pp. 139, 140, and 141), respectively, to the remainder, the terminal date reached should be, under ordinary circumstances, 4 Ahau 3 Kankin. An inspection of our text, however, will show that the terminal date recorded in B5-A6 is unmistakably 4 Ahau 8 Cumhu, and not 4 Ahau 3 Kankin. The month part in A6 is unusually clear, and there can be no doubt {204} that it is 8 Cumhu. Compare A6 with figure 19, _g', h'_. If we have made no mistake in calculations, then it is evident that 13.0.0.0.0 counted forward from the starting point of Maya chronology, 4 Ahau 8 Cumhu, will not reach the terminal date recorded. Further, since the count in Initial Series has never been known to be backward,[177] we are forced to accept one of two conclusions: Either the starting point is not 4 Ahau 8 Cumhu, or there is some error in the original text. However, there is one way by means of which we can ascertain the date from which the number 13.0.0.0.0 is counted. The terminal date reached by the count is recorded very clearly as 4 Ahau 8 Cumhu. Now, if we reverse our operation and count the given number, 13.0.0.0.0, _backward_ from the known terminal date, 4 Ahau 8 Cumhu, we reach the starting point from which the count proceeds. [Illustration: FIG. 77. Initial Series which proceed from a date prior to 4 Ahau 8 Cumhu, the starting point of Maya chronology: _A_, Stela C (east side) at Quirigua; _B_, Temple of the Cross at Palenque.]