peculiar zeta() behavior

[Igor Schein <igor@txc.com>]

Hi,

? for(k=70,100,print(k" "zeta(1-1/2^k-2^18)))
70 9.206091509744517478696623193 E1097349
71 9.206091509744517478696623193 E1097349
72 9.206091509744517478696623193 E1097349
73 9.206091509744517478696623193 E1097349
74 9.206091509744517478696623193 E1097349
75 9.206091509744517478696623193 E1097349
76 9.206091509744517478696623193 E1097349
77 9.206091509744517478696623193 E1097349
78 9.206091509744517478696623193 E1097349
79 9.206091509744517478696623193 E1097349
  ***   user interrupt after 23,496 ms.

looks like bad things start happening near a large negative odd
integer.  

This is very related:

http://www.math.mcgill.ca/goren/ZetaValues/zeta.html#explanations

He doesn't say though which version of pari he was using.

Igor