How could I get access to more than the first 2 mln non-trivial zeros of $\zeta(s)$? I would like to test whether or not the following product (or its complement)
$$\displaystyle \displaystyle \prod_{n=1}^\infty \left(1- \frac{s}{\frac12+ (-1)^n\, \gamma_n \, i} \right)$$
converges to fractions of known constants for e.g. $s=2n$. Note that $\gamma_n$ is the imaginary part of the n-th non-trivial zero of $\zeta(s)$.
I am aware of Andrew Odlyzko's tables of non-trivial zeros and using those I could calculate the product up to $n=2,001,052$. However convergence of the product is very slow and I am keen to get access to a table with couple of million zeros more (with $\gamma_n$ at 9 digits). 
Grateful for any hints/tips on where I might to find these and/or for a fast tool/program (e.g. using the Riemann-Siegel formula) to generate them.
Thanks!
 A: I found the zeros I needed and post this as an answer rather than an update.
There is a very nice website that gives access to a database with 'gazillions' of non-trivial zeros (with even higher accuracy than the Odlyzko tables). The only issue is that it limits downloads to chunks of 100000 max. I managed to easily download the first 5mln zeros in 50 .tex files of 100000 zeros in less than 30 minutes.
The steps are easy:


*

*Enter in List = 100000 and the relevant starting value. Press Go.

*A HTML screen pops up with all imaginary parts in text format.

*Wait a few seconds for the page to fully load and then right click on the screen.

*Press 'Save Page As' and type the filename. Choose Format = 'Page Source'. Press 'Save'.  


This solves my problem, however I did not find a nice relation to known constants (actually the product is complex). The only 'interesting' fact I found, is that the absolute value of the 'flipping' product of zeros is the square root of the Riemann $\xi(s)$ function.
