The ancient Greek alphabetical numeric system

The ancient Greek alphabetical numeric system:

ancient greek numerals

This chart illustrates both the ancient Greek acrophonic and alphabetical numeric systems. However, the acrophonic system, used primarily in Classical Athens ca. 500 – 400 BCE, came much later than the alphabetical system. So in effect we must resort to the only Greek numeric system we can use to represent numbers in Mycenaean Greek numbers, i.e. the alphabetical system. The alphabetical numbers are displayed in the second column after the modern numbers, 1 – 100,000 in the following chart. Here are some examples of alphabetic numbers representing Mycenaean numbers: 

mycenaean numbers followed by their alphabetic greek equivalents

A series of 5 Linear B fragments on vessels (pottery) with 2 beautiful illustrations of amphorae

A series of 5 Linear B fragments on vessels (pottery) with 2 beautiful illustrations of amphorae:

5 Linear B fragments on vessels

There can be no surprise that 4 these 5 fragments follow one another serially, while the last one is in the same numeric series (700s). I do not understand why 708b just shows the number 8 but has no framework in which it is supposed to be set (i.e. no fragment).  Fragment 709 M m 01 appears to have  originally been a longer tablet, since there is text (? na) left-truncated prior to the ideogram and right-truncated (ya) after it. It is impossible to recover the “absent” meaning of the word of which these syllabograms a a part. 776a M f 01 is very peculiar.  The “amphora” at the top is clearly unfinished, and even the one on the bottom is rudimentary. This is uncharacteristic of Linear B scribes. Was he alseep at the switch? Was it the end of the day? Was the tablet started, only to be discarded? If so, why? We shall never know.

Examples of exquisite Minoan amphorae from Knossos: