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Old 2021-09-23, 16:00   #65
bur
 
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Aug 2020
79*6581e-4;3*2539e-3

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I did some tests on a C167 to see the differences between various q-min values.

I sieved in the region q0=10M to q1=108M with the parameters from curtis' file. The I concatenated the sieve files of various regions and made msieve build a matrix.


These are the results:
Code:
--
q=15M-104M (89M)

202836566 relations
50758954 duplicates and 152199568 unique relations

matrix is 10451195 x 10451420 (3780.8 MB) with weight 983955554 (94.15/col)
sparse part has weight 886591531 (84.83/col)
--

--
q=15M-105M (90M)

204611251 relations
51190337 duplicates and 153542870 unique relations

matrix is 10205132 x 10205356 (3689.9 MB) with weight 960718330 (94.14/col)
sparse part has weight 865223080 (84.78/col)
--

--
q=15M-106M (91M)

206510998 relations
51623746 duplicates and 154887252 unique relations

matrix is 9999089 x 9999314 (3614.4 MB) with weight 941369223 (94.14/col)
sparse part has weight 847506249 (84.76/col)
--

--
q=16M-105M (89M)

201149205 relations
found 49063275 duplicates and 152207886 unique relations

matrix is 10458080 x 10458305 (3784.1 MB) with weight 984860664 (94.17/col)
sparse part has weight 887403885 (84.85/col)
--

--
q=16M-106M (90M)

202926996 relations
found 49492280 duplicates and 153556672 unique relations

matrix is 10212921 x 10213146 (3693.3 MB) with weight 961603325 (94.15/col)
sparse part has weight 866042288 (84.80/col)
--

--
q=16M-107M (91M)

204688978 relations
49920242 duplicates and 154890692 unique relations

matrix is 10010922 x 10011147 (3618.0 MB) with weight 942278762 (94.12/col)
sparse part has weight 848335435 (84.74/col)
--

--
q=17M-106M (89M)

199442289 relations
found 47446144 duplicates and 152118101 unique relations

matrix is 10476553 x 10476778 (3789.4 MB) with weight 986164792 (94.13/col)
sparse part has weight 888588171 (84.82/col)
--

--
q=17M-107M (90M)

201204271 relations
found 47869683 duplicates and 153456544 unique relations

matrix is 10231547 x 10231772 (3699.3 MB) with weight 963128811 (94.13/col)
sparse part has weight 867441644 (84.78/col)
--

--
q=17M-108M (91M)

202962678 relations
48294306 duplicates and 154790328 unique relations

matrix is 10028735 x 10028960 (3624.6 MB) with weight 943951416 (94.12/col)
sparse part has weight 849864687 (84.74/col)
 --
I compared runs with the same length of the q-range, i.e. 89M, 90M and 91M. Strangely a q-min of 16M is the best choice in terms of uniques yield, while the smallest matrix was achieved with q-min of 15M.

I don't know exactly how many unique relations are required to build a matrix, but 150.7M failed, 152M succeeded.

My conclusion would be to start at q0=15M with rels_wanted of 203M-205M. Are there any more ranges or other tests that would be of interest?
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