I am trying a primary decomposition on a PC with an i7 8-cored cpu and 4000 MB RAM. I don't run out of memory but after 1 day or so, when I look at the performance of my PC under Start Task Manager---> Performance the cpu usage has gone down to a few % (Its maximum value being 12.5% because it is an 8 core cpu) and singular seems to be reading from and writing to the hard disc, because I am hearing some sounds.
The memory used up is about 3800 MB which is again accessible under Task Manager---> Performance . Is it hopeless to leave it running like this?
Furthermore, I'd like to know if there is a cluster or really fast computer out there which is accessible for running similar calculations on?
I would be also be willing for pay. What system(s) do the guys from the university of Kaiserslautern use?
I really appreciate any comments with regards of running time of primary decomposition. I have integer coefficients but the solutions are obviously complex. Which ring of coefficients should I use? I am using the rational numbers (ring r=0,x1,x2,......,dp) right now.
I have a system of 5 equations in 8 unknown only and have already managed to get a reduced basis with respect to degree reverse lexicographical ordering (dp).