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- Sun May 04 13:47:15 2025
- Sun May 04 13:47:15 2025
- Sun May 04 13:47:15 2025 Msieve v. 1.53 (SVN 988)
- Sun May 04 13:47:15 2025 random seeds: 8cd6d140 36a8f7bd
- Sun May 04 13:47:15 2025 factoring 52175497458419990326373585336293177743487266931238846155555342866547442291934011564407464750477683586070071985608564165405145471149332513669276101752057031878189002540898899 (173 digits)
- Sun May 04 13:47:15 2025 searching for 15-digit factors
- Sun May 04 13:47:16 2025 commencing number field sieve (173-digit input)
- Sun May 04 13:47:16 2025 R0: 4444497035601176637320196728020730
- Sun May 04 13:47:16 2025 R1: 169618511961271101610804987
- Sun May 04 13:47:16 2025 A0: 22272312608989270029983936715774933514257
- Sun May 04 13:47:16 2025 A1: -5654442377557790856847728201861840
- Sun May 04 13:47:16 2025 A2: -1029446568133920879904845810
- Sun May 04 13:47:16 2025 A3: -45752166751430094500
- Sun May 04 13:47:16 2025 A4: 12692993934673
- Sun May 04 13:47:16 2025 A5: 477540
- Sun May 04 13:47:16 2025 skew 11922151.16, size 7.987e-017, alpha -6.532, combined = 2.492e-013 rroots = 3
- Sun May 04 13:47:16 2025
- Sun May 04 13:47:16 2025 commencing relation filtering
- Sun May 04 13:47:16 2025 setting target matrix density to 130.0
- Sun May 04 13:47:16 2025 estimated available RAM is 16151.1 MB
- Sun May 04 13:47:16 2025 commencing duplicate removal, pass 1
- Sun May 04 13:48:05 2025 error -1 reading relation 5460326
- Sun May 04 13:48:21 2025 error -15 reading relation 7190418
- Sun May 04 13:48:37 2025 error -15 reading relation 9080615
- Sun May 04 13:48:39 2025 error -5 reading relation 9353036
- Sun May 04 13:48:42 2025 error -15 reading relation 9626594
- Sun May 04 13:48:42 2025 error -15 reading relation 9626669
- Sun May 04 13:48:42 2025 error -15 reading relation 9626744
- Sun May 04 13:50:23 2025 error -15 reading relation 21198681
- Sun May 04 13:51:14 2025 error -15 reading relation 27141070
- Sun May 04 13:51:19 2025 error -15 reading relation 27640476
- Sun May 04 13:51:30 2025 error -1 reading relation 28918017
- Sun May 04 13:52:45 2025 error -15 reading relation 37635480
- Sun May 04 13:53:02 2025 error -15 reading relation 39454986
- Sun May 04 13:54:02 2025 error -15 reading relation 46398343
- Sun May 04 13:54:51 2025 error -5 reading relation 52124343
- Sun May 04 13:55:37 2025 error -15 reading relation 57272135
- Sun May 04 13:55:37 2025 error -15 reading relation 57273510
- Sun May 04 13:55:51 2025 error -15 reading relation 58798857
- Sun May 04 13:56:09 2025 error -5 reading relation 60811003
- Sun May 04 13:56:09 2025 error -1 reading relation 60846063
- Sun May 04 13:56:20 2025 error -9 reading relation 62075631
- Sun May 04 13:56:21 2025 error -15 reading relation 62240676
- Sun May 04 13:56:21 2025 error -5 reading relation 62240900
- Sun May 04 13:56:24 2025 error -15 reading relation 62531174
- Sun May 04 13:56:24 2025 error -9 reading relation 62531399
- Sun May 04 13:56:34 2025 error -1 reading relation 63682273
- Sun May 04 13:56:41 2025 error -1 reading relation 64517275
- Sun May 04 13:56:42 2025 error -5 reading relation 64522048
- Sun May 04 13:56:42 2025 error -1 reading relation 64619715
- Sun May 04 13:57:02 2025 error -9 reading relation 66807288
- Sun May 04 13:57:06 2025 error -9 reading relation 67241635
- Sun May 04 13:58:32 2025 error -1 reading relation 77065364
- Sun May 04 13:58:50 2025 error -9 reading relation 79239891
- Sun May 04 13:58:50 2025 error -5 reading relation 79240585
- Sun May 04 13:59:13 2025 error -15 reading relation 81936340
- Sun May 04 13:59:19 2025 error -15 reading relation 82576122
- Sun May 04 13:59:19 2025 error -15 reading relation 82576712
- Sun May 04 13:59:24 2025 error -15 reading relation 83199813
- Sun May 04 13:59:28 2025 error -15 reading relation 83593729
- Sun May 04 13:59:32 2025 error -15 reading relation 84122722
- Sun May 04 14:00:28 2025 error -1 reading relation 90540661
- Sun May 04 14:00:40 2025 error -1 reading relation 91980752
- Sun May 04 14:00:43 2025 error -15 reading relation 92304422
- Sun May 04 14:00:49 2025 error -9 reading relation 93020896
- Sun May 04 14:01:16 2025 error -15 reading relation 96086516
- Sun May 04 14:01:18 2025 error -1 reading relation 96411247
- Sun May 04 14:01:18 2025 error -9 reading relation 96412972
- Sun May 04 14:01:18 2025 error -15 reading relation 96413009
- Sun May 04 14:01:18 2025 error -15 reading relation 96415997
- Sun May 04 14:02:06 2025 error -15 reading relation 101871479
- Sun May 04 14:02:15 2025 error -9 reading relation 103018790
- Sun May 04 14:02:17 2025 error -9 reading relation 103249755
- Sun May 04 14:02:22 2025 error -15 reading relation 103797448
- Sun May 04 14:02:45 2025 error -15 reading relation 106493739
- Sun May 04 14:02:50 2025 error -5 reading relation 107003910
- Sun May 04 14:02:57 2025 error -15 reading relation 107856298
- Sun May 04 14:02:57 2025 error -15 reading relation 107875327
- Sun May 04 14:02:59 2025 error -9 reading relation 108075035
- Sun May 04 14:03:00 2025 error -15 reading relation 108225999
- Sun May 04 14:03:04 2025 error -15 reading relation 108617605
- Sun May 04 14:03:16 2025 error -15 reading relation 110098042
- Sun May 04 14:03:18 2025 error -5 reading relation 110267374
- Sun May 04 14:03:18 2025 error -9 reading relation 110292215
- Sun May 04 14:03:18 2025 error -9 reading relation 110292622
- Sun May 04 14:03:35 2025 error -15 reading relation 112225021
- Sun May 04 14:04:32 2025 error -9 reading relation 118786208
- Sun May 04 14:04:50 2025 error -15 reading relation 120752936
- Sun May 04 14:04:50 2025 error -15 reading relation 120836017
- Sun May 04 14:04:50 2025 error -15 reading relation 120843857
- Sun May 04 14:04:59 2025 error -9 reading relation 121792727
- Sun May 04 14:05:04 2025 error -15 reading relation 122450222
- Sun May 04 14:05:16 2025 error -15 reading relation 123854340
- Sun May 04 14:05:41 2025 error -1 reading relation 126655170
- Sun May 04 14:05:43 2025 error -9 reading relation 126993028
- Sun May 04 14:05:56 2025 error -9 reading relation 128398721
- Sun May 04 14:06:00 2025 error -9 reading relation 128821559
- Sun May 04 14:06:08 2025 error -5 reading relation 129816072
- Sun May 04 14:06:14 2025 error -15 reading relation 130463972
- Sun May 04 14:06:14 2025 error -15 reading relation 130479214
- Sun May 04 14:06:27 2025 error -15 reading relation 131876671
- Sun May 04 14:06:28 2025 error -1 reading relation 132029367
- Sun May 04 14:06:30 2025 error -5 reading relation 132271979
- Sun May 04 14:06:31 2025 error -15 reading relation 132384131
- Sun May 04 14:06:34 2025 error -15 reading relation 132619827
- Sun May 04 14:06:42 2025 error -9 reading relation 133516918
- Sun May 04 14:07:07 2025 error -9 reading relation 136371081
- Sun May 04 14:07:30 2025 error -9 reading relation 139128693
- Sun May 04 14:07:47 2025 error -1 reading relation 141048003
- Sun May 04 14:07:47 2025 error -15 reading relation 141054577
- Sun May 04 14:07:47 2025 error -9 reading relation 141114591
- Sun May 04 14:08:00 2025 error -15 reading relation 142585565
- Sun May 04 14:09:07 2025 error -1 reading relation 150228641
- Sun May 04 14:09:11 2025 error -9 reading relation 150691585
- Sun May 04 14:09:11 2025 error -1 reading relation 150692940
- Sun May 04 14:09:19 2025 error -9 reading relation 151614605
- Sun May 04 14:09:20 2025 error -15 reading relation 151719268
- Sun May 04 14:09:23 2025 error -15 reading relation 152043292
- Sun May 04 14:09:23 2025 error -9 reading relation 152043964
- Sun May 04 14:09:23 2025 error -15 reading relation 152059756
- Sun May 04 14:09:29 2025 error -9 reading relation 152771817
- Sun May 04 14:09:31 2025 error -15 reading relation 152946086
- Sun May 04 14:09:32 2025 error -9 reading relation 153026322
- Sun May 04 14:09:32 2025 error -9 reading relation 153027692
- Sun May 04 14:09:44 2025 error -5 reading relation 154423504
- Sun May 04 14:09:52 2025 error -9 reading relation 155265865
- Sun May 04 14:09:52 2025 error -5 reading relation 155293141
- Sun May 04 14:09:55 2025 error -15 reading relation 155659212
- Sun May 04 14:09:56 2025 error -15 reading relation 155812069
- Sun May 04 14:10:04 2025 error -15 reading relation 156684074
- Sun May 04 14:10:06 2025 error -15 reading relation 156917497
- Sun May 04 14:10:07 2025 error -15 reading relation 157076503
- Sun May 04 14:10:11 2025 error -9 reading relation 157480082
- Sun May 04 14:10:28 2025 error -9 reading relation 159492146
- Sun May 04 14:10:32 2025 error -15 reading relation 159926820
- Sun May 04 14:10:35 2025 error -1 reading relation 160360818
- Sun May 04 14:10:44 2025 error -15 reading relation 161352159
- Sun May 04 14:10:44 2025 error -9 reading relation 161357657
- Sun May 04 14:11:04 2025 error -15 reading relation 163659523
- Sun May 04 14:11:11 2025 error -15 reading relation 164547767
- Sun May 04 14:11:13 2025 error -15 reading relation 164735328
- Sun May 04 14:11:14 2025 error -11 reading relation 164782573
- Sun May 04 14:11:27 2025 error -9 reading relation 166340216
- Sun May 04 14:11:33 2025 error -15 reading relation 167079090
- Sun May 04 14:11:38 2025 error -9 reading relation 167588946
- Sun May 04 14:11:39 2025 error -5 reading relation 167767438
- Sun May 04 14:11:41 2025 error -9 reading relation 167971443
- Sun May 04 14:11:43 2025 error -15 reading relation 168252924
- Sun May 04 14:11:45 2025 error -15 reading relation 168451920
- Sun May 04 14:11:51 2025 error -15 reading relation 169194135
- Sun May 04 14:12:08 2025 error -15 reading relation 171109027
- Sun May 04 14:12:18 2025 error -15 reading relation 172273994
- Sun May 04 14:12:40 2025 error -15 reading relation 174834602
- Sun May 04 14:12:47 2025 error -15 reading relation 175662425
- Sun May 04 14:13:11 2025 error -9 reading relation 178381733
- Sun May 04 14:13:19 2025 error -9 reading relation 179318569
- Sun May 04 14:13:23 2025 error -1 reading relation 179733978
- Sun May 04 14:13:23 2025 error -9 reading relation 179736814
- Sun May 04 14:13:45 2025 error -1 reading relation 182305848
- Sun May 04 14:13:53 2025 error -9 reading relation 183258028
- Sun May 04 14:14:06 2025 error -9 reading relation 184807797
- Sun May 04 14:14:16 2025 error -5 reading relation 185876906
- Sun May 04 14:14:20 2025 error -1 reading relation 186342916
- Sun May 04 14:14:20 2025 error -9 reading relation 186345720
- Sun May 04 14:14:43 2025 error -15 reading relation 189074971
- Sun May 04 14:14:46 2025 error -9 reading relation 189360548
- Sun May 04 14:14:48 2025 error -9 reading relation 189633722
- Sun May 04 14:14:57 2025 error -15 reading relation 190661450
- Sun May 04 14:15:21 2025 error -15 reading relation 193386027
- Sun May 04 14:15:22 2025 error -9 reading relation 193446120
- Sun May 04 14:15:34 2025 error -9 reading relation 194908663
- Sun May 04 14:15:36 2025 error -15 reading relation 195139854
- Sun May 04 14:16:28 2025 error -15 reading relation 201111452
- Sun May 04 14:16:32 2025 error -15 reading relation 201556601
- Sun May 04 14:16:45 2025 error -9 reading relation 203110358
- Sun May 04 14:16:56 2025 error -9 reading relation 204304212
- Sun May 04 14:16:59 2025 error -9 reading relation 204736508
- Sun May 04 14:17:01 2025 error -5 reading relation 204939768
- Sun May 04 14:17:07 2025 error -15 reading relation 205664462
- Sun May 04 14:17:08 2025 error -15 reading relation 205736646
- Sun May 04 14:17:09 2025 error -11 reading relation 205875592
- Sun May 04 14:17:10 2025 error -15 reading relation 205948151
- Sun May 04 14:17:12 2025 error -1 reading relation 206150312
- Sun May 04 14:17:12 2025 error -11 reading relation 206207345
- Sun May 04 14:17:14 2025 error -1 reading relation 206374881
- Sun May 04 14:17:14 2025 error -1 reading relation 206418360
- Sun May 04 14:17:14 2025 error -15 reading relation 206454859
- Sun May 04 14:17:14 2025 error -15 reading relation 206477562
- Sun May 04 14:17:15 2025 error -9 reading relation 206511974
- Sun May 04 14:17:15 2025 error -9 reading relation 206561608
- Sun May 04 14:17:16 2025 error -15 reading relation 206620069
- Sun May 04 14:17:16 2025 error -1 reading relation 206646143
- Sun May 04 14:17:17 2025 error -1 reading relation 206732385
- Sun May 04 14:17:18 2025 error -5 reading relation 206916409
- Sun May 04 14:17:27 2025 error -15 reading relation 207874119
- Sun May 04 14:17:28 2025 error -15 reading relation 208043114
- Sun May 04 14:17:35 2025 error -9 reading relation 208865534
- Sun May 04 14:17:42 2025 error -15 reading relation 209690142
- Sun May 04 14:17:42 2025 error -9 reading relation 209691939
- Sun May 04 14:18:00 2025 error -9 reading relation 211745123
- Sun May 04 14:18:03 2025 error -1 reading relation 212075664
- Sun May 04 14:18:12 2025 error -5 reading relation 213149931
- Sun May 04 14:18:22 2025 error -15 reading relation 214296188
- Sun May 04 14:18:23 2025 error -15 reading relation 214436367
- Sun May 04 14:18:23 2025 error -15 reading relation 214437316
- Sun May 04 14:18:40 2025 error -15 reading relation 216429341
- Sun May 04 14:18:43 2025 error -9 reading relation 216747031
- Sun May 04 14:18:43 2025 error -1 reading relation 216748330
- Sun May 04 14:18:56 2025 error -5 reading relation 218242049
- Sun May 04 14:19:27 2025 error -15 reading relation 221805041
- Sun May 04 14:19:27 2025 error -15 reading relation 221863126
- Sun May 04 14:19:28 2025 error -1 reading relation 221971100
- Sun May 04 14:19:29 2025 error -15 reading relation 222081974
- Sun May 04 14:19:29 2025 error -15 reading relation 222082121
- Sun May 04 14:19:34 2025 error -5 reading relation 222685299
- Sun May 04 14:19:57 2025 error -15 reading relation 225262873
- Sun May 04 14:20:12 2025 error -1 reading relation 227065596
- Sun May 04 14:20:24 2025 error -15 reading relation 228472189
- Sun May 04 14:20:24 2025 error -15 reading relation 228480444
- Sun May 04 14:20:27 2025 error -1 reading relation 228799756
- Sun May 04 14:20:28 2025 error -9 reading relation 228924310
- Sun May 04 14:20:34 2025 error -1 reading relation 229570359
- Sun May 04 14:20:34 2025 error -15 reading relation 229578708
- Sun May 04 14:21:05 2025 error -9 reading relation 233150202
- Sun May 04 14:21:06 2025 error -9 reading relation 233286167
- Sun May 04 14:21:07 2025 error -5 reading relation 233422903
- Sun May 04 14:21:08 2025 error -9 reading relation 233513799
- Sun May 04 14:21:08 2025 error -15 reading relation 233544464
- Sun May 04 14:21:13 2025 error -15 reading relation 234072485
- Sun May 04 14:21:19 2025 error -1 reading relation 234756764
- Sun May 04 14:21:21 2025 error -15 reading relation 234964670
- Sun May 04 14:21:31 2025 error -9 reading relation 236194584
- Sun May 04 14:21:38 2025 error -15 reading relation 236922849
- Sun May 04 14:21:38 2025 error -9 reading relation 236936180
- Sun May 04 14:21:48 2025 error -9 reading relation 238175302
- Sun May 04 14:21:48 2025 error -1 reading relation 238183492
- Sun May 04 14:21:58 2025 error -15 reading relation 239222095
- Sun May 04 14:21:58 2025 error -9 reading relation 239229728
- Sun May 04 14:22:04 2025 error -1 reading relation 239993129
- Sun May 04 14:22:13 2025 error -1 reading relation 241085237
- Sun May 04 14:22:16 2025 error -9 reading relation 241427964
- Sun May 04 14:22:17 2025 error -9 reading relation 241505351
- Sun May 04 14:22:19 2025 error -9 reading relation 241739581
- Sun May 04 14:22:34 2025 error -15 reading relation 243426908
- Sun May 04 14:22:42 2025 error -15 reading relation 244304556
- Sun May 04 14:22:52 2025 error -1 reading relation 245516127
- Sun May 04 14:22:53 2025 error -15 reading relation 245592571
- Sun May 04 14:22:53 2025 error -15 reading relation 245595996
- Sun May 04 14:22:53 2025 error -15 reading relation 245599506
- Sun May 04 14:22:53 2025 error -9 reading relation 245603335
- Sun May 04 14:22:55 2025 error -9 reading relation 245856867
- Sun May 04 14:22:58 2025 error -1 reading relation 246166545
- Sun May 04 14:22:58 2025 error -15 reading relation 246182347
- Sun May 04 14:22:58 2025 error -9 reading relation 246193104
- Sun May 04 14:22:58 2025 error -15 reading relation 246228354
- Sun May 04 14:23:09 2025 error -15 reading relation 247559746
- Sun May 04 14:23:31 2025 error -9 reading relation 250010223
- Sun May 04 14:23:35 2025 error -9 reading relation 250549578
- Sun May 04 14:23:43 2025 error -9 reading relation 251387836
- Sun May 04 14:23:49 2025 error -1 reading relation 252086135
- Sun May 04 14:24:09 2025 error -9 reading relation 254488329
- Sun May 04 14:24:37 2025 error -9 reading relation 257675350
- Sun May 04 14:25:10 2025 error -15 reading relation 261456777
- Sun May 04 14:25:10 2025 error -11 reading relation 261461423
- Sun May 04 14:25:21 2025 error -9 reading relation 262786818
- Sun May 04 14:25:29 2025 error -15 reading relation 263657927
- Sun May 04 14:25:42 2025 error -11 reading relation 265143964
- Sun May 04 14:25:53 2025 error -15 reading relation 266494607
- Sun May 04 14:26:16 2025 error -1 reading relation 269100803
- Sun May 04 14:26:17 2025 error -1 reading relation 269253340
- Sun May 04 14:26:23 2025 error -9 reading relation 269917902
- Sun May 04 14:26:35 2025 error -1 reading relation 271353615
- Sun May 04 14:26:38 2025 error -1 reading relation 271742733
- Sun May 04 14:26:40 2025 error -15 reading relation 271928773
- Sun May 04 14:26:42 2025 error -15 reading relation 272142778
- Sun May 04 14:26:42 2025 skipped 122 relations with composite factors
- Sun May 04 14:26:42 2025 found 55885284 hash collisions in 272209993 relations
- Sun May 04 14:27:08 2025 added 122075 free relations
- Sun May 04 14:27:08 2025 commencing duplicate removal, pass 2
- Sun May 04 14:30:55 2025 found 56072839 duplicates and 216259229 unique relations
- Sun May 04 14:30:55 2025 memory use: 1449.5 MB
- Sun May 04 14:30:55 2025 reading ideals above 129695744
- Sun May 04 14:30:55 2025 commencing singleton removal, initial pass
- Sun May 04 14:56:42 2025 memory use: 5512.0 MB
- Sun May 04 14:56:42 2025 reading all ideals from disk
- Sun May 04 14:56:51 2025 memory use: 3970.3 MB
- Sun May 04 14:57:06 2025 commencing in-memory singleton removal
- Sun May 04 14:57:22 2025 begin with 216259229 relations and 168463303 unique ideals
- Sun May 04 14:59:25 2025 reduce to 160144933 relations and 107973944 ideals in 11 passes
- Sun May 04 14:59:25 2025 max relations containing the same ideal: 35
- Sun May 04 14:59:40 2025 reading ideals above 720000
- Sun May 04 14:59:41 2025 commencing singleton removal, initial pass
- Sun May 04 15:24:58 2025 memory use: 3012.0 MB
- Sun May 04 15:24:58 2025 reading all ideals from disk
- Sun May 04 15:25:11 2025 memory use: 6383.7 MB
- Sun May 04 15:25:44 2025 keeping 121878178 ideals with weight <= 200, target excess is 823947
- Sun May 04 15:26:14 2025 commencing in-memory singleton removal
- Sun May 04 15:26:39 2025 begin with 160144933 relations and 121878178 unique ideals
- Sun May 04 15:28:19 2025 reduce to 160144567 relations and 121877812 ideals in 5 passes
- Sun May 04 15:28:19 2025 max relations containing the same ideal: 200
- Sun May 04 15:30:02 2025 removing 9590087 relations and 7590087 ideals in 2000000 cliques
- Sun May 04 15:30:06 2025 commencing in-memory singleton removal
- Sun May 04 15:30:28 2025 begin with 150554480 relations and 121877812 unique ideals
- Sun May 04 15:32:39 2025 reduce to 150087362 relations and 113812907 ideals in 7 passes
- Sun May 04 15:32:39 2025 max relations containing the same ideal: 198
- Sun May 04 15:34:17 2025 removing 7416315 relations and 5416315 ideals in 2000000 cliques
- Sun May 04 15:34:21 2025 commencing in-memory singleton removal
- Sun May 04 15:34:42 2025 begin with 142671047 relations and 113812907 unique ideals
- Sun May 04 15:36:42 2025 reduce to 142355625 relations and 108076685 ideals in 7 passes
- Sun May 04 15:36:42 2025 max relations containing the same ideal: 195
- Sun May 04 15:38:15 2025 removing 6790006 relations and 4790006 ideals in 2000000 cliques
- Sun May 04 15:38:18 2025 commencing in-memory singleton removal
- Sun May 04 15:38:38 2025 begin with 135565619 relations and 108076685 unique ideals
- Sun May 04 15:40:36 2025 reduce to 135291292 relations and 103008496 ideals in 7 passes
- Sun May 04 15:40:36 2025 max relations containing the same ideal: 189
- Sun May 04 15:42:05 2025 removing 6465648 relations and 4465648 ideals in 2000000 cliques
- Sun May 04 15:42:08 2025 commencing in-memory singleton removal
- Sun May 04 15:42:27 2025 begin with 128825644 relations and 103008496 unique ideals
- Sun May 04 15:44:02 2025 reduce to 128569314 relations and 98282842 ideals in 6 passes
- Sun May 04 15:44:02 2025 max relations containing the same ideal: 181
- Sun May 04 15:45:28 2025 removing 6265294 relations and 4265294 ideals in 2000000 cliques
- Sun May 04 15:45:31 2025 commencing in-memory singleton removal
- Sun May 04 15:45:49 2025 begin with 122304020 relations and 98282842 unique ideals
- Sun May 04 15:47:18 2025 reduce to 122058546 relations and 93768387 ideals in 6 passes
- Sun May 04 15:47:18 2025 max relations containing the same ideal: 176
- Sun May 04 15:48:40 2025 removing 6132874 relations and 4132874 ideals in 2000000 cliques
- Sun May 04 15:48:43 2025 commencing in-memory singleton removal
- Sun May 04 15:49:01 2025 begin with 115925672 relations and 93768387 unique ideals
- Sun May 04 15:50:24 2025 reduce to 115681938 relations and 89388151 ideals in 6 passes
- Sun May 04 15:50:24 2025 max relations containing the same ideal: 172
- Sun May 04 15:51:42 2025 removing 6034735 relations and 4034735 ideals in 2000000 cliques
- Sun May 04 15:51:45 2025 commencing in-memory singleton removal
- Sun May 04 15:52:00 2025 begin with 109647203 relations and 89388151 unique ideals
- Sun May 04 15:53:33 2025 reduce to 109403146 relations and 85105559 ideals in 7 passes
- Sun May 04 15:53:33 2025 max relations containing the same ideal: 165
- Sun May 04 15:54:48 2025 removing 5972712 relations and 3972712 ideals in 2000000 cliques
- Sun May 04 15:54:50 2025 commencing in-memory singleton removal
- Sun May 04 15:55:06 2025 begin with 103430434 relations and 85105559 unique ideals
- Sun May 04 15:56:21 2025 reduce to 103181184 relations and 80879510 ideals in 6 passes
- Sun May 04 15:56:21 2025 max relations containing the same ideal: 161
- Sun May 04 15:57:31 2025 removing 5931429 relations and 3931429 ideals in 2000000 cliques
- Sun May 04 15:57:34 2025 commencing in-memory singleton removal
- Sun May 04 15:57:48 2025 begin with 97249755 relations and 80879510 unique ideals
- Sun May 04 15:58:58 2025 reduce to 96992837 relations and 76686611 ideals in 6 passes
- Sun May 04 15:58:58 2025 max relations containing the same ideal: 155
- Sun May 04 16:00:01 2025 removing 5905356 relations and 3905356 ideals in 2000000 cliques
- Sun May 04 16:00:04 2025 commencing in-memory singleton removal
- Sun May 04 16:00:17 2025 begin with 91087481 relations and 76686611 unique ideals
- Sun May 04 16:01:34 2025 reduce to 90820914 relations and 72509719 ideals in 7 passes
- Sun May 04 16:01:34 2025 max relations containing the same ideal: 149
- Sun May 04 16:02:33 2025 removing 5896482 relations and 3896482 ideals in 2000000 cliques
- Sun May 04 16:02:36 2025 commencing in-memory singleton removal
- Sun May 04 16:02:48 2025 begin with 84924432 relations and 72509719 unique ideals
- Sun May 04 16:03:48 2025 reduce to 84642132 relations and 68325326 ideals in 6 passes
- Sun May 04 16:03:48 2025 max relations containing the same ideal: 142
- Sun May 04 16:04:48 2025 removing 5906350 relations and 3906350 ideals in 2000000 cliques
- Sun May 04 16:04:50 2025 commencing in-memory singleton removal
- Sun May 04 16:05:01 2025 begin with 78735782 relations and 68325326 unique ideals
- Sun May 04 16:05:56 2025 reduce to 78432927 relations and 64109792 ideals in 6 passes
- Sun May 04 16:05:56 2025 max relations containing the same ideal: 137
- Sun May 04 16:06:52 2025 removing 5931549 relations and 3931549 ideals in 2000000 cliques
- Sun May 04 16:06:55 2025 commencing in-memory singleton removal
- Sun May 04 16:07:05 2025 begin with 72501378 relations and 64109792 unique ideals
- Sun May 04 16:08:04 2025 reduce to 72172767 relations and 59842127 ideals in 7 passes
- Sun May 04 16:08:04 2025 max relations containing the same ideal: 127
- Sun May 04 16:08:55 2025 removing 5975927 relations and 3975927 ideals in 2000000 cliques
- Sun May 04 16:08:58 2025 commencing in-memory singleton removal
- Sun May 04 16:09:08 2025 begin with 66196840 relations and 59842127 unique ideals
- Sun May 04 16:10:01 2025 reduce to 65832426 relations and 55492947 ideals in 7 passes
- Sun May 04 16:10:01 2025 max relations containing the same ideal: 123
- Sun May 04 16:10:48 2025 removing 6036946 relations and 4036946 ideals in 2000000 cliques
- Sun May 04 16:10:51 2025 commencing in-memory singleton removal
- Sun May 04 16:10:59 2025 begin with 59795480 relations and 55492947 unique ideals
- Sun May 04 16:11:48 2025 reduce to 59383461 relations and 51033159 ideals in 7 passes
- Sun May 04 16:11:48 2025 max relations containing the same ideal: 110
- Sun May 04 16:12:32 2025 removing 6133179 relations and 4133179 ideals in 2000000 cliques
- Sun May 04 16:12:34 2025 commencing in-memory singleton removal
- Sun May 04 16:12:41 2025 begin with 53250282 relations and 51033159 unique ideals
- Sun May 04 16:13:25 2025 reduce to 52774317 relations and 46410307 ideals in 7 passes
- Sun May 04 16:13:25 2025 max relations containing the same ideal: 100
- Sun May 04 16:14:03 2025 removing 6264716 relations and 4264716 ideals in 2000000 cliques
- Sun May 04 16:14:06 2025 commencing in-memory singleton removal
- Sun May 04 16:14:12 2025 begin with 46509601 relations and 46410307 unique ideals
- Sun May 04 16:14:49 2025 reduce to 45939146 relations and 41556872 ideals in 7 passes
- Sun May 04 16:14:49 2025 max relations containing the same ideal: 92
- Sun May 04 16:15:24 2025 removing 6442231 relations and 4442231 ideals in 2000000 cliques
- Sun May 04 16:15:26 2025 commencing in-memory singleton removal
- Sun May 04 16:15:31 2025 begin with 39496915 relations and 41556872 unique ideals
- Sun May 04 16:16:05 2025 reduce to 38778137 relations and 36369317 ideals in 8 passes
- Sun May 04 16:16:05 2025 max relations containing the same ideal: 86
- Sun May 04 16:16:35 2025 removing 5192499 relations and 3739458 ideals in 1453041 cliques
- Sun May 04 16:16:37 2025 commencing in-memory singleton removal
- Sun May 04 16:16:42 2025 begin with 33585638 relations and 36369317 unique ideals
- Sun May 04 16:17:16 2025 reduce to 33008814 relations and 32034702 ideals in 9 passes
- Sun May 04 16:17:16 2025 max relations containing the same ideal: 75
- Sun May 04 16:17:41 2025 removing 141690 relations and 123357 ideals in 18333 cliques
- Sun May 04 16:17:42 2025 commencing in-memory singleton removal
- Sun May 04 16:17:47 2025 begin with 32867124 relations and 32034702 unique ideals
- Sun May 04 16:18:01 2025 reduce to 32866686 relations and 31910907 ideals in 4 passes
- Sun May 04 16:18:01 2025 max relations containing the same ideal: 74
- Sun May 04 16:18:07 2025 relations with 0 large ideals: 2797
- Sun May 04 16:18:07 2025 relations with 1 large ideals: 12247
- Sun May 04 16:18:07 2025 relations with 2 large ideals: 177073
- Sun May 04 16:18:07 2025 relations with 3 large ideals: 1117829
- Sun May 04 16:18:07 2025 relations with 4 large ideals: 3748773
- Sun May 04 16:18:07 2025 relations with 5 large ideals: 7407118
- Sun May 04 16:18:07 2025 relations with 6 large ideals: 9092755
- Sun May 04 16:18:07 2025 relations with 7+ large ideals: 11308094
- Sun May 04 16:18:08 2025 commencing 2-way merge
- Sun May 04 16:18:40 2025 reduce to 20798029 relation sets and 19842250 unique ideals
- Sun May 04 16:18:40 2025 commencing full merge
- Sun May 04 16:30:00 2025 memory use: 2464.9 MB
- Sun May 04 16:30:06 2025 found 8990494 cycles, need 8954450
- Sun May 04 16:30:07 2025 weight of 8954450 cycles is about 1164668495 (130.07/cycle)
- Sun May 04 16:30:07 2025 distribution of cycle lengths:
- Sun May 04 16:30:07 2025 1 relations: 531701
- Sun May 04 16:30:07 2025 2 relations: 541288
- Sun May 04 16:30:07 2025 3 relations: 577896
- Sun May 04 16:30:07 2025 4 relations: 590074
- Sun May 04 16:30:07 2025 5 relations: 608498
- Sun May 04 16:30:07 2025 6 relations: 616327
- Sun May 04 16:30:07 2025 7 relations: 614717
- Sun May 04 16:30:07 2025 8 relations: 594126
- Sun May 04 16:30:07 2025 9 relations: 564596
- Sun May 04 16:30:07 2025 10+ relations: 3715227
- Sun May 04 16:30:07 2025 heaviest cycle: 28 relations
- Sun May 04 16:30:19 2025 commencing cycle optimization
- Sun May 04 16:30:42 2025 start with 80965002 relations
- Sun May 04 16:35:32 2025 pruned 3924809 relations
- Sun May 04 16:35:32 2025 memory use: 2168.4 MB
- Sun May 04 16:35:32 2025 distribution of cycle lengths:
- Sun May 04 16:35:32 2025 1 relations: 531701
- Sun May 04 16:35:32 2025 2 relations: 555796
- Sun May 04 16:35:32 2025 3 relations: 602626
- Sun May 04 16:35:32 2025 4 relations: 615340
- Sun May 04 16:35:32 2025 5 relations: 641167
- Sun May 04 16:35:32 2025 6 relations: 648437
- Sun May 04 16:35:32 2025 7 relations: 650628
- Sun May 04 16:35:32 2025 8 relations: 626052
- Sun May 04 16:35:32 2025 9 relations: 595280
- Sun May 04 16:35:32 2025 10+ relations: 3487423
- Sun May 04 16:35:32 2025 heaviest cycle: 28 relations
- Sun May 04 16:35:59 2025 RelProcTime: 10123
- Sun May 04 16:35:59 2025
- Sun May 04 16:35:59 2025 commencing linear algebra
- Sun May 04 16:36:01 2025 read 8954450 cycles
- Sun May 04 16:36:28 2025 cycles contain 32298789 unique relations
- Sun May 04 16:40:09 2025 read 32298789 relations
- Sun May 04 16:41:49 2025 using 20 quadratic characters above 4294917295
- Sun May 04 16:44:15 2025 building initial matrix
- Sun May 04 16:53:07 2025 memory use: 4346.3 MB
- Sun May 04 16:53:22 2025 read 8954450 cycles
- Sun May 04 16:53:24 2025 matrix is 8954273 x 8954450 (4465.4 MB) with weight 1354340903 (151.25/col)
- Sun May 04 16:53:24 2025 sparse part has weight 1072080150 (119.73/col)
- Sun May 04 16:56:05 2025 filtering completed in 2 passes
- Sun May 04 16:56:07 2025 matrix is 8953996 x 8954173 (4465.4 MB) with weight 1354326590 (151.25/col)
- Sun May 04 16:56:07 2025 sparse part has weight 1072075225 (119.73/col)
- Sun May 04 16:56:52 2025 matrix starts at (0, 0)
- Sun May 04 16:56:54 2025 matrix is 8953996 x 8954173 (4465.4 MB) with weight 1354326590 (151.25/col)
- Sun May 04 16:56:54 2025 sparse part has weight 1072075225 (119.73/col)
- Sun May 04 16:56:54 2025 saving the first 48 matrix rows for later
- Sun May 04 16:56:58 2025 matrix includes 64 packed rows
- Sun May 04 16:56:59 2025 matrix is 8953948 x 8954173 (4362.8 MB) with weight 1163435319 (129.93/col)
- Sun May 04 16:56:59 2025 sparse part has weight 1054146711 (117.73/col)
- Sun May 04 16:56:59 2025 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
- Sun May 04 16:57:53 2025 commencing Lanczos iteration (8 threads)
- Sun May 04 16:57:53 2025 memory use: 3661.5 MB
- Sun May 04 16:58:41 2025 linear algebra at 0.0%, ETA 75h 9m
- Sun May 04 16:58:56 2025 checkpointing every 120000 dimensions
- Wed May 07 19:45:40 2025 lanczos halted after 141601 iterations (dim = 8953947)
- Wed May 07 19:45:50 2025 recovered 30 nontrivial dependencies
- Wed May 07 19:45:58 2025 BLanczosTime: 270599
- Wed May 07 19:45:58 2025
- Wed May 07 19:45:58 2025 commencing square root phase
- Wed May 07 19:45:58 2025 handling dependencies 1 to 64
- Wed May 07 19:45:58 2025 reading relations for dependency 1
- Wed May 07 19:46:00 2025 read 4476760 cycles
- Wed May 07 19:46:12 2025 cycles contain 16147706 unique relations
- Wed May 07 19:48:43 2025 read 16147706 relations
- Wed May 07 19:50:35 2025 multiplying 16147706 relations
- Wed May 07 20:09:15 2025 multiply complete, coefficients have about 908.86 million bits
- Wed May 07 20:09:22 2025 initial square root is modulo 142495237
- Wed May 07 20:31:34 2025 sqrtTime: 2736
- Wed May 07 20:31:34 2025 p66 factor: 110834045222615298425429772872476705852418641579090737486794987033
- Wed May 07 20:31:34 2025 p108 factor: 470753344368358062588462282404929041787370640114283268278752163582446421497484971357500681708033202059446603
- Wed May 07 20:31:34 2025 elapsed time 78:44:19
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