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Replicated Gnu(n)<=30 for 2000<n<10000 from TU-BS list #58

Merged
merged 77 commits into from
May 21, 2016
Merged

Replicated Gnu(n)<=30 for 2000<n<10000 from TU-BS list #58

merged 77 commits into from
May 21, 2016

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olexandr-konovalov
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This PR adds to data/gnudata.g values of gnu(n) which are not greater than 30 for 2000<n<10000 which are contained in the table from http://www.icm.tu-bs.de/ag_algebra/software/small/number.html but can not be obtained with NrSmallGroups or CubeFree package.

All calculations were performed with GAP 4.8.3 and GrpConst 2.5 on Ubuntu 16.04 Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM). All calculated gnu(n) coincide with reported at http://www.icm.tu-bs.de/ag_algebra/software/small/number.html.

Alexander Konovalov added 30 commits May 20, 2016 23:33
gnu(2295)=5
25dcd35 
GAP      4.8.3
GrpConst 2.5
Runtime: 56 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(3105)=5
dc08c5f 
GAP      4.8.3
GrpConst 2.5
Runtime: 56 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(3915)=5
3b4be43 
GAP      4.8.3
GrpConst 2.5
Runtime: 56 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(3993)=7
1f1c41f 
GAP      4.8.3
GrpConst 2.5
Runtime: 336 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(5049)=5
8694577 
GAP      4.8.3
GrpConst 2.5
Runtime: 56 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(6345)=5
d5b05e4 
GAP      4.8.3
GrpConst 2.5
Runtime: 60 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(6375)=7
1795f82 
GAP      4.8.3
GrpConst 2.5
Runtime: 160 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(7155)=5
3cb9124 
GAP      4.8.3
GrpConst 2.5
Runtime: 60 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(7965)=5
fd616c5 
GAP      4.8.3
GrpConst 2.5
Runtime: 64 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(8613)=5
10a8be5 
GAP      4.8.3
GrpConst 2.5
Runtime: 56 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(8625)=7
b238906 
GAP      4.8.3
GrpConst 2.5
Runtime: 144 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(9317)=6
f237f8b 
GAP      4.8.3
GrpConst 2.5
Runtime: 280 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(2565)=15
072a2bd 
GAP      4.8.3
GrpConst 2.5
Runtime: 280 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(2625)=14
ab57731 
GAP      4.8.3
GrpConst 2.5
Runtime: 308 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(2662)=15
46f1cda 
GAP      4.8.3
GrpConst 2.5
Runtime: 644 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(3213)=13
15e02dc 
GAP      4.8.3
GrpConst 2.5
Runtime: 228 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(3267)=17
91de2a3 
GAP      4.8.3
GrpConst 2.5
Runtime: 196 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(3861)=14
79b98ec 
GAP      4.8.3
GrpConst 2.5
Runtime: 228 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(4125)=18
4e48913 
GAP      4.8.3
GrpConst 2.5
Runtime: 296 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(4347)=13
e2bdce8 
GAP      4.8.3
GrpConst 2.5
Runtime: 220 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(4394)=15
15c088d 
GAP      4.8.3
GrpConst 2.5
Runtime: 2808 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(4875)=14
357884e 
GAP      4.8.3
GrpConst 2.5
Runtime: 312 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(4995)=15
b4a6eaa 
GAP      4.8.3
GrpConst 2.5
Runtime: 336 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(5145)=19
37f1896 
GAP      4.8.3
GrpConst 2.5
Runtime: 1332 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(5481)=18
ea8a34f 
GAP      4.8.3
GrpConst 2.5
Runtime: 376 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(5535)=10
e99d9fd 
GAP      4.8.3
GrpConst 2.5
Runtime: 232 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(5643)=15
a70a55e 
GAP      4.8.3
GrpConst 2.5
Runtime: 300 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(5805)=13
3fbf9bf 
GAP      4.8.3
GrpConst 2.5
Runtime: 232 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(5967)=14
f499385 
GAP      4.8.3
GrpConst 2.5
Runtime: 316 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(6125)=10
293358b 
GAP      4.8.3
GrpConst 2.5
Runtime: 60 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
Alexander Konovalov added 23 commits May 21, 2016 00:30
gnu(4250)=30
26e759f 
GAP      4.8.3
GrpConst 2.5
Runtime: 1524 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(4482)=30
812aa0b 
GAP      4.8.3
GrpConst 2.5
Runtime: 2064 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(4750)=30
cb978c4 
GAP      4.8.3
GrpConst 2.5
Runtime: 1536 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(4806)=30
9227278 
GAP      4.8.3
GrpConst 2.5
Runtime: 2236 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(5454)=30
deb0c9c 
GAP      4.8.3
GrpConst 2.5
Runtime: 2340 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(5750)=30
6152bf2 
GAP      4.8.3
GrpConst 2.5
Runtime: 1716 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(5778)=30
e70b0f1 
GAP      4.8.3
GrpConst 2.5
Runtime: 2640 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(6102)=30
956baa2 
GAP      4.8.3
GrpConst 2.5
Runtime: 2708 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(6655)=26
72be33f 
GAP      4.8.3
GrpConst 2.5
Runtime: 21188 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(7074)=30
cee15f0 
GAP      4.8.3
GrpConst 2.5
Runtime: 3004 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(7250)=30
9b4e2b9 
GAP      4.8.3
GrpConst 2.5
Runtime: 1868 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(7398)=30
eb4f0ff 
GAP      4.8.3
GrpConst 2.5
Runtime: 3156 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(7425)=27
09e246a 
GAP      4.8.3
GrpConst 2.5
Runtime: 888 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(7546)=30
a2b99d8 
GAP      4.8.3
GrpConst 2.5
Runtime: 1800 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(7875)=30
87c0b94 
GAP      4.8.3
GrpConst 2.5
Runtime: 1308 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(8046)=30
8f72979 
GAP      4.8.3
GrpConst 2.5
Runtime: 3480 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(8235)=26
21ee459 
GAP      4.8.3
GrpConst 2.5
Runtime: 636 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(8918)=30
e650b2a 
GAP      4.8.3
GrpConst 2.5
Runtime: 1944 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(9018)=30
48de65d 
GAP      4.8.3
GrpConst 2.5
Runtime: 4252 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(9250)=30
871c9ed 
GAP      4.8.3
GrpConst 2.5
Runtime: 2224 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(9342)=30
cabd7ac 
GAP      4.8.3
GrpConst 2.5
Runtime: 3960 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(9666)=30
dd29b80 
GAP      4.8.3
GrpConst 2.5
Runtime: 4540 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
gnu(9826)=15
ad94c6c 
GAP      4.8.3
GrpConst 2.5
Runtime: 212920 ms
Isomorphic groups eliminated

Validated on Ubuntu 16.04 on Azure cloud standard DS3 v2 instance (4 cores, 14 GB RAM)
@olexandr-konovalov olexandr-konovalov merged commit bcd790a into master May 21, 2016
@olexandr-konovalov olexandr-konovalov deleted the replicated-small-gnus-10 branch May 21, 2016 00:02
@olexandr-konovalov olexandr-konovalov mentioned this pull request May 21, 2016
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olexandr-konovalov commented May 23, 2016 •
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One of the commits on this list is ad94c6c with gnu(9826)=15. This is actually the number from which this project starts - see this question on Mathematics Stackexchange site: http://math.stackexchange.com/questions/1601470, in particular the comments:
comment1
comment2
comment3

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