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Msieve log of 288__142_2m1

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Dec 15th, 2025
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  1. Sat Dec 13 02:06:35 2025
  2. Sat Dec 13 02:06:35 2025
  3. Sat Dec 13 02:06:35 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Dec 13 02:06:35 2025 random seeds: 28cac2fb 77a53971
  5. Sat Dec 13 02:06:35 2025 factoring 20659526422371563533485427201243548007121770661311771068019223522204429646711166397458647965506987050664606657693697343898151041283318751821399935690731363194217041010464924465856373189 (185 digits)
  6. Sat Dec 13 02:06:36 2025 no P-1/P+1/ECM available, skipping
  7. Sat Dec 13 02:06:36 2025 commencing number field sieve (185-digit input)
  8. Sat Dec 13 02:06:36 2025 R0: -548588422554330835669661618791967332
  9. Sat Dec 13 02:06:36 2025 R1: 18346521548087611843021
  10. Sat Dec 13 02:06:36 2025 A0: 414227938478874135772153329148293297580353
  11. Sat Dec 13 02:06:36 2025 A1: 191533260443188643575804503484528171
  12. Sat Dec 13 02:06:36 2025 A2: -108302210685287135186503710713
  13. Sat Dec 13 02:06:36 2025 A3: -3293047598622709628001
  14. Sat Dec 13 02:06:36 2025 A4: 384627897760230
  15. Sat Dec 13 02:06:36 2025 A5: 2079000
  16. Sat Dec 13 02:06:36 2025 skew 1.00, size 6.213e-18, alpha -7.031, combined = 2.984e-16 rroots = 5
  17. Sat Dec 13 02:06:36 2025
  18. Sat Dec 13 02:06:36 2025 commencing relation filtering
  19. Sat Dec 13 02:06:36 2025 setting target matrix density to 120.0
  20. Sat Dec 13 02:06:36 2025 estimated available RAM is 85467.8 MB
  21. Sat Dec 13 02:06:36 2025 commencing duplicate removal, pass 1
  22. Sat Dec 13 02:11:47 2025 error -1 reading relation 27991632
  23. Sat Dec 13 02:13:01 2025 error -1 reading relation 34656863
  24. Sat Dec 13 02:13:03 2025 error -1 reading relation 34864363
  25. Sat Dec 13 02:13:42 2025 error -1 reading relation 38331653
  26. Sat Dec 13 03:30:35 2025 error -1 reading relation 450981781
  27. Sat Dec 13 03:31:10 2025 error -1 reading relation 454132684
  28. Sat Dec 13 03:31:37 2025 skipped 1 relations with composite factors
  29. Sat Dec 13 03:31:37 2025 skipped 665 malformed relations
  30. Sat Dec 13 03:31:37 2025 found 103506194 hash collisions in 456471761 relations
  31. Sat Dec 13 03:32:09 2025 added 121839 free relations
  32. Sat Dec 13 03:32:09 2025 commencing duplicate removal, pass 2
  33. Sat Dec 13 03:42:29 2025 found 113018916 duplicates and 343574684 unique relations
  34. Sat Dec 13 03:42:29 2025 memory use: 2899.0 MB
  35. Sat Dec 13 03:42:29 2025 reading ideals above 193527808
  36. Sat Dec 13 03:42:29 2025 commencing singleton removal, initial pass
  37. Sat Dec 13 04:35:17 2025 memory use: 6024.0 MB
  38. Sat Dec 13 04:35:18 2025 reading all ideals from disk
  39. Sat Dec 13 04:35:22 2025 memory use: 9120.2 MB
  40. Sat Dec 13 04:35:48 2025 commencing in-memory singleton removal
  41. Sat Dec 13 04:36:35 2025 begin with 343574684 relations and 310918929 unique ideals
  42. Sat Dec 13 04:39:57 2025 reduce to 205153212 relations and 156702313 ideals in 16 passes
  43. Sat Dec 13 04:39:57 2025 max relations containing the same ideal: 30
  44. Sat Dec 13 04:40:15 2025 reading ideals above 720000
  45. Sat Dec 13 04:40:15 2025 commencing singleton removal, initial pass
  46. Sat Dec 13 05:22:02 2025 memory use: 5512.0 MB
  47. Sat Dec 13 05:22:02 2025 reading all ideals from disk
  48. Sat Dec 13 05:22:08 2025 memory use: 10060.5 MB
  49. Sat Dec 13 05:22:43 2025 keeping 177130339 ideals with weight <= 200, target excess is 1052957
  50. Sat Dec 13 05:23:17 2025 commencing in-memory singleton removal
  51. Sat Dec 13 05:24:18 2025 begin with 205153212 relations and 177130339 unique ideals
  52. Sat Dec 13 05:27:02 2025 reduce to 205148778 relations and 177125905 ideals in 8 passes
  53. Sat Dec 13 05:27:02 2025 max relations containing the same ideal: 200
  54. Sat Dec 13 05:29:51 2025 removing 14583014 relations and 12583014 ideals in 2000000 cliques
  55. Sat Dec 13 05:29:59 2025 commencing in-memory singleton removal
  56. Sat Dec 13 05:30:56 2025 begin with 190565764 relations and 177125905 unique ideals
  57. Sat Dec 13 05:34:06 2025 reduce to 189727964 relations and 163693824 ideals in 10 passes
  58. Sat Dec 13 05:34:06 2025 max relations containing the same ideal: 197
  59. Sat Dec 13 05:36:41 2025 removing 10945094 relations and 8945094 ideals in 2000000 cliques
  60. Sat Dec 13 05:36:49 2025 commencing in-memory singleton removal
  61. Sat Dec 13 05:37:42 2025 begin with 178782870 relations and 163693824 unique ideals
  62. Sat Dec 13 05:40:02 2025 reduce to 178255148 relations and 154214824 ideals in 8 passes
  63. Sat Dec 13 05:40:02 2025 max relations containing the same ideal: 193
  64. Sat Dec 13 05:42:29 2025 removing 9811535 relations and 7811535 ideals in 2000000 cliques
  65. Sat Dec 13 05:42:36 2025 commencing in-memory singleton removal
  66. Sat Dec 13 05:43:26 2025 begin with 168443613 relations and 154214824 unique ideals
  67. Sat Dec 13 05:45:40 2025 reduce to 167985102 relations and 145939633 ideals in 8 passes
  68. Sat Dec 13 05:45:40 2025 max relations containing the same ideal: 187
  69. Sat Dec 13 05:48:00 2025 removing 9216520 relations and 7216520 ideals in 2000000 cliques
  70. Sat Dec 13 05:48:07 2025 commencing in-memory singleton removal
  71. Sat Dec 13 05:48:55 2025 begin with 158768582 relations and 145939633 unique ideals
  72. Sat Dec 13 05:50:59 2025 reduce to 158342809 relations and 138292466 ideals in 8 passes
  73. Sat Dec 13 05:50:59 2025 max relations containing the same ideal: 178
  74. Sat Dec 13 05:53:13 2025 removing 8841656 relations and 6841656 ideals in 2000000 cliques
  75. Sat Dec 13 05:53:20 2025 commencing in-memory singleton removal
  76. Sat Dec 13 05:54:05 2025 begin with 149501153 relations and 138292466 unique ideals
  77. Sat Dec 13 05:55:59 2025 reduce to 149086269 relations and 131030976 ideals in 7 passes
  78. Sat Dec 13 05:55:59 2025 max relations containing the same ideal: 172
  79. Sat Dec 13 05:58:06 2025 removing 8594711 relations and 6594711 ideals in 2000000 cliques
  80. Sat Dec 13 05:58:12 2025 commencing in-memory singleton removal
  81. Sat Dec 13 05:58:55 2025 begin with 140491558 relations and 131030976 unique ideals
  82. Sat Dec 13 06:00:54 2025 reduce to 140075496 relations and 124015231 ideals in 8 passes
  83. Sat Dec 13 06:00:54 2025 max relations containing the same ideal: 169
  84. Sat Dec 13 06:02:53 2025 removing 8425758 relations and 6425758 ideals in 2000000 cliques
  85. Sat Dec 13 06:02:58 2025 commencing in-memory singleton removal
  86. Sat Dec 13 06:03:38 2025 begin with 131649738 relations and 124015231 unique ideals
  87. Sat Dec 13 06:05:29 2025 reduce to 131226972 relations and 117161417 ideals in 8 passes
  88. Sat Dec 13 06:05:29 2025 max relations containing the same ideal: 159
  89. Sat Dec 13 06:07:23 2025 removing 8315539 relations and 6315539 ideals in 2000000 cliques
  90. Sat Dec 13 06:07:28 2025 commencing in-memory singleton removal
  91. Sat Dec 13 06:08:05 2025 begin with 122911433 relations and 117161417 unique ideals
  92. Sat Dec 13 06:09:35 2025 reduce to 122470376 relations and 110398923 ideals in 7 passes
  93. Sat Dec 13 06:09:35 2025 max relations containing the same ideal: 153
  94. Sat Dec 13 06:11:20 2025 removing 8260054 relations and 6260054 ideals in 2000000 cliques
  95. Sat Dec 13 06:11:26 2025 commencing in-memory singleton removal
  96. Sat Dec 13 06:12:00 2025 begin with 114210322 relations and 110398923 unique ideals
  97. Sat Dec 13 06:13:46 2025 reduce to 113747011 relations and 103668871 ideals in 9 passes
  98. Sat Dec 13 06:13:46 2025 max relations containing the same ideal: 145
  99. Sat Dec 13 06:15:25 2025 removing 8246095 relations and 6246095 ideals in 2000000 cliques
  100. Sat Dec 13 06:15:30 2025 commencing in-memory singleton removal
  101. Sat Dec 13 06:16:02 2025 begin with 105500916 relations and 103668871 unique ideals
  102. Sat Dec 13 06:17:24 2025 reduce to 105002141 relations and 96916281 ideals in 8 passes
  103. Sat Dec 13 06:17:24 2025 max relations containing the same ideal: 139
  104. Sat Dec 13 06:18:56 2025 removing 8267143 relations and 6267143 ideals in 2000000 cliques
  105. Sat Dec 13 06:19:01 2025 commencing in-memory singleton removal
  106. Sat Dec 13 06:19:29 2025 begin with 96734998 relations and 96916281 unique ideals
  107. Sat Dec 13 06:20:48 2025 reduce to 96186571 relations and 90091852 ideals in 8 passes
  108. Sat Dec 13 06:20:48 2025 max relations containing the same ideal: 130
  109. Sat Dec 13 06:22:12 2025 removing 8333661 relations and 6333661 ideals in 2000000 cliques
  110. Sat Dec 13 06:22:16 2025 commencing in-memory singleton removal
  111. Sat Dec 13 06:22:42 2025 begin with 87852910 relations and 90091852 unique ideals
  112. Sat Dec 13 06:23:53 2025 reduce to 87240066 relations and 83134372 ideals in 8 passes
  113. Sat Dec 13 06:23:53 2025 max relations containing the same ideal: 119
  114. Sat Dec 13 06:25:08 2025 removing 8449143 relations and 6449143 ideals in 2000000 cliques
  115. Sat Dec 13 06:25:13 2025 commencing in-memory singleton removal
  116. Sat Dec 13 06:25:36 2025 begin with 78790923 relations and 83134372 unique ideals
  117. Sat Dec 13 06:26:45 2025 reduce to 78083692 relations and 75964149 ideals in 9 passes
  118. Sat Dec 13 06:26:45 2025 max relations containing the same ideal: 112
  119. Sat Dec 13 06:27:53 2025 removing 4595296 relations and 3697184 ideals in 898112 cliques
  120. Sat Dec 13 06:27:57 2025 commencing in-memory singleton removal
  121. Sat Dec 13 06:28:18 2025 begin with 73488396 relations and 75964149 unique ideals
  122. Sat Dec 13 06:29:15 2025 reduce to 73271464 relations and 72047860 ideals in 8 passes
  123. Sat Dec 13 06:29:15 2025 max relations containing the same ideal: 107
  124. Sat Dec 13 06:30:31 2025 relations with 0 large ideals: 3677
  125. Sat Dec 13 06:30:31 2025 relations with 1 large ideals: 11094
  126. Sat Dec 13 06:30:31 2025 relations with 2 large ideals: 181487
  127. Sat Dec 13 06:30:31 2025 relations with 3 large ideals: 1338381
  128. Sat Dec 13 06:30:31 2025 relations with 4 large ideals: 5347494
  129. Sat Dec 13 06:30:31 2025 relations with 5 large ideals: 12851011
  130. Sat Dec 13 06:30:31 2025 relations with 6 large ideals: 19390734
  131. Sat Dec 13 06:30:31 2025 relations with 7+ large ideals: 34147586
  132. Sat Dec 13 06:30:31 2025 commencing 2-way merge
  133. Sat Dec 13 06:32:13 2025 reduce to 45290277 relation sets and 44066673 unique ideals
  134. Sat Dec 13 06:32:13 2025 commencing full merge
  135. Sat Dec 13 06:50:21 2025 memory use: 5203.9 MB
  136. Sat Dec 13 06:50:25 2025 found 19980625 cycles, need 19916873
  137. Sat Dec 13 06:50:33 2025 weight of 19916873 cycles is about 2390256837 (120.01/cycle)
  138. Sat Dec 13 06:50:33 2025 distribution of cycle lengths:
  139. Sat Dec 13 06:50:33 2025 1 relations: 1567476
  140. Sat Dec 13 06:50:33 2025 2 relations: 1442631
  141. Sat Dec 13 06:50:33 2025 3 relations: 1487152
  142. Sat Dec 13 06:50:33 2025 4 relations: 1451315
  143. Sat Dec 13 06:50:33 2025 5 relations: 1438847
  144. Sat Dec 13 06:50:33 2025 6 relations: 1407619
  145. Sat Dec 13 06:50:33 2025 7 relations: 1337473
  146. Sat Dec 13 06:50:33 2025 8 relations: 1281212
  147. Sat Dec 13 06:50:33 2025 9 relations: 1196999
  148. Sat Dec 13 06:50:33 2025 10+ relations: 7306149
  149. Sat Dec 13 06:50:33 2025 heaviest cycle: 28 relations
  150. Sat Dec 13 06:50:40 2025 commencing cycle optimization
  151. Sat Dec 13 06:51:26 2025 start with 165348959 relations
  152. Sat Dec 13 06:58:02 2025 pruned 6302163 relations
  153. Sat Dec 13 06:58:02 2025 memory use: 4689.5 MB
  154. Sat Dec 13 06:58:02 2025 distribution of cycle lengths:
  155. Sat Dec 13 06:58:02 2025 1 relations: 1567476
  156. Sat Dec 13 06:58:02 2025 2 relations: 1480622
  157. Sat Dec 13 06:58:02 2025 3 relations: 1545897
  158. Sat Dec 13 06:58:02 2025 4 relations: 1503255
  159. Sat Dec 13 06:58:02 2025 5 relations: 1499329
  160. Sat Dec 13 06:58:02 2025 6 relations: 1459099
  161. Sat Dec 13 06:58:02 2025 7 relations: 1391298
  162. Sat Dec 13 06:58:02 2025 8 relations: 1325543
  163. Sat Dec 13 06:58:02 2025 9 relations: 1234367
  164. Sat Dec 13 06:58:02 2025 10+ relations: 6909987
  165. Sat Dec 13 06:58:02 2025 heaviest cycle: 28 relations
  166. Sat Dec 13 06:58:56 2025 RelProcTime: 17540
  167. Sat Dec 13 06:58:56 2025 elapsed time 04:52:21
  168. Sat Dec 13 06:58:56 2025
  169. Sat Dec 13 06:58:56 2025
  170. Sat Dec 13 06:58:56 2025 Msieve v. 1.54 (SVN Unversioned directory)
  171. Sat Dec 13 06:58:56 2025 random seeds: 21c190c4 1bd80bc7
  172. Sat Dec 13 06:58:56 2025 factoring 20659526422371563533485427201243548007121770661311771068019223522204429646711166397458647965506987050664606657693697343898151041283318751821399935690731363194217041010464924465856373189 (185 digits)
  173. Sat Dec 13 06:58:57 2025 no P-1/P+1/ECM available, skipping
  174. Sat Dec 13 06:58:57 2025 commencing number field sieve (185-digit input)
  175. Sat Dec 13 06:58:57 2025 R0: -548588422554330835669661618791967332
  176. Sat Dec 13 06:58:57 2025 R1: 18346521548087611843021
  177. Sat Dec 13 06:58:57 2025 A0: 414227938478874135772153329148293297580353
  178. Sat Dec 13 06:58:57 2025 A1: 191533260443188643575804503484528171
  179. Sat Dec 13 06:58:57 2025 A2: -108302210685287135186503710713
  180. Sat Dec 13 06:58:57 2025 A3: -3293047598622709628001
  181. Sat Dec 13 06:58:57 2025 A4: 384627897760230
  182. Sat Dec 13 06:58:57 2025 A5: 2079000
  183. Sat Dec 13 06:58:57 2025 skew 1.00, size 6.213e-18, alpha -7.031, combined = 2.984e-16 rroots = 5
  184. Sat Dec 13 06:58:57 2025
  185. Sat Dec 13 06:58:57 2025 commencing linear algebra
  186. Sat Dec 13 06:58:57 2025 using VBITS=256
  187. Sat Dec 13 06:58:59 2025 read 19916873 cycles
  188. Sat Dec 13 06:59:55 2025 cycles contain 72437411 unique relations
  189. Sat Dec 13 07:15:23 2025 read 72437411 relations
  190. Sat Dec 13 07:18:00 2025 using 20 quadratic characters above 4294917295
  191. Sat Dec 13 07:25:17 2025 building initial matrix
  192. Sat Dec 13 07:44:30 2025 memory use: 9870.8 MB
  193. Sat Dec 13 07:44:44 2025 read 19916873 cycles
  194. Sat Dec 13 07:44:47 2025 matrix is 19916696 x 19916873 (9489.4 MB) with weight 2851287690 (143.16/col)
  195. Sat Dec 13 07:44:47 2025 sparse part has weight 2248585762 (112.90/col)
  196. Sat Dec 13 07:50:26 2025 filtering completed in 2 passes
  197. Sat Dec 13 07:50:31 2025 matrix is 19915699 x 19915874 (9489.3 MB) with weight 2851244811 (143.16/col)
  198. Sat Dec 13 07:50:31 2025 sparse part has weight 2248574724 (112.90/col)
  199. Sat Dec 13 07:52:44 2025 matrix starts at (0, 0)
  200. Sat Dec 13 07:52:47 2025 matrix is 19915699 x 19915874 (9489.3 MB) with weight 2851244811 (143.16/col)
  201. Sat Dec 13 07:52:47 2025 sparse part has weight 2248574724 (112.90/col)
  202. Sat Dec 13 07:52:47 2025 saving the first 240 matrix rows for later
  203. Sat Dec 13 07:52:51 2025 matrix includes 256 packed rows
  204. Sat Dec 13 07:52:58 2025 matrix is 19915459 x 19915874 (8575.2 MB) with weight 2053425309 (103.10/col)
  205. Sat Dec 13 07:52:58 2025 sparse part has weight 1929290310 (96.87/col)
  206. Sat Dec 13 07:52:59 2025 using GPU 0 (NVIDIA A100-SXM4-40GB)
  207. Sat Dec 13 07:52:59 2025 selected card has CUDA arch 8.0
  208. Sat Dec 13 07:56:12 2025 commencing Lanczos iteration
  209. Sat Dec 13 07:56:14 2025 memory use: 19885.5 MB
  210. Sat Dec 13 07:57:47 2025 linear algebra at 0.2%, ETA 16h35m
  211. Sat Dec 13 08:00:06 2025 checking every 10000 dimensions, checkpointing every 1200000 dimensions
  212. Sun Dec 14 00:33:46 2025 lanczos halted after 78030 iterations (dim = 19915457)
  213. Sun Dec 14 00:35:23 2025 recovered 27 nontrivial dependencies
  214. Sun Dec 14 00:35:23 2025 BLanczosTime: 63386
  215. Sun Dec 14 00:35:23 2025 elapsed time 17:36:27
  216. Sun Dec 14 00:35:24 2025
  217. Sun Dec 14 00:35:24 2025
  218. Sun Dec 14 00:35:24 2025 Msieve v. 1.54 (SVN Unversioned directory)
  219. Sun Dec 14 00:35:24 2025 random seeds: 74f6ed7c 45f4dc37
  220. Sun Dec 14 00:35:24 2025 factoring 20659526422371563533485427201243548007121770661311771068019223522204429646711166397458647965506987050664606657693697343898151041283318751821399935690731363194217041010464924465856373189 (185 digits)
  221. Sun Dec 14 00:35:25 2025 no P-1/P+1/ECM available, skipping
  222. Sun Dec 14 00:35:25 2025 commencing number field sieve (185-digit input)
  223. Sun Dec 14 00:35:25 2025 R0: -548588422554330835669661618791967332
  224. Sun Dec 14 00:35:25 2025 R1: 18346521548087611843021
  225. Sun Dec 14 00:35:25 2025 A0: 414227938478874135772153329148293297580353
  226. Sun Dec 14 00:35:25 2025 A1: 191533260443188643575804503484528171
  227. Sun Dec 14 00:35:25 2025 A2: -108302210685287135186503710713
  228. Sun Dec 14 00:35:25 2025 A3: -3293047598622709628001
  229. Sun Dec 14 00:35:25 2025 A4: 384627897760230
  230. Sun Dec 14 00:35:25 2025 A5: 2079000
  231. Sun Dec 14 00:35:25 2025 skew 1.00, size 6.213e-18, alpha -7.031, combined = 2.984e-16 rroots = 5
  232. Sun Dec 14 00:35:25 2025
  233. Sun Dec 14 00:35:25 2025 commencing square root phase
  234. Sun Dec 14 00:35:25 2025 reading relations for dependency 1
  235. Sun Dec 14 00:35:31 2025 read 9958637 cycles
  236. Sun Dec 14 00:35:57 2025 cycles contain 36218298 unique relations
  237. Sun Dec 14 00:47:15 2025 read 36218298 relations
  238. Sun Dec 14 00:51:02 2025 multiplying 36218298 relations
  239. Sun Dec 14 01:49:04 2025 multiply complete, coefficients have about 2230.55 million bits
  240. Sun Dec 14 01:49:22 2025 initial square root is modulo 100669
  241. Sun Dec 14 02:50:17 2025 sqrtTime: 8092
  242. Sun Dec 14 02:50:17 2025 p73 factor: 6116739157696464119841916016116034014564155181376167155197574028716735067
  243. Sun Dec 14 02:50:17 2025 p112 factor: 3377539223064049427351210354921662967619488045894674153992667929592898423591097493035332060074544568512099651167
  244. Sun Dec 14 02:50:17 2025 elapsed time 02:14:53
  245.  
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