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Apr 5th, 2022
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  1. Sun Mar 27 10:27:21 2022
  2. Sun Mar 27 10:27:21 2022
  3. Sun Mar 27 10:27:21 2022 Msieve v. 1.52 (SVN unknown)
  4. Sun Mar 27 10:27:21 2022 random seeds: c8110aa8 e1c52488
  5. Sun Mar 27 10:27:21 2022 factoring 38983880699168921298316015054540271508889383127549270301358526648583703324178966253204238246585503306728645089126706429740754423705165969703974889766191659525379287808908446024743760793 (185 digits)
  6. Sun Mar 27 10:27:22 2022 no P-1/P+1/ECM available, skipping
  7. Sun Mar 27 10:27:22 2022 commencing number field sieve (185-digit input)
  8. Sun Mar 27 10:27:22 2022 R0: -430189005887341704564111931811306996
  9. Sun Mar 27 10:27:22 2022 R1: 15738024048870026182457
  10. Sun Mar 27 10:27:22 2022 A0: 1341855282491731695564343525049920252082850
  11. Sun Mar 27 10:27:22 2022 A1: 1870186313200834972489851377048141965
  12. Sun Mar 27 10:27:22 2022 A2: 500320095246279481938411056682
  13. Sun Mar 27 10:27:22 2022 A3: 10507905717386259288761
  14. Sun Mar 27 10:27:22 2022 A4: -1305319932837906
  15. Sun Mar 27 10:27:22 2022 A5: 15876000
  16. Sun Mar 27 10:27:22 2022 skew 17879343.00, size 5.196e-018, alpha -7.401, combined = 4.766e-014 rroots = 5
  17. Sun Mar 27 10:27:22 2022
  18. Sun Mar 27 10:27:22 2022 commencing relation filtering
  19. Sun Mar 27 10:27:22 2022 setting target matrix density to 126.0
  20. Sun Mar 27 10:27:22 2022 estimated available RAM is 130978.7 MB
  21. Sun Mar 27 10:27:22 2022 commencing duplicate removal, pass 1
  22. Sun Mar 27 10:27:23 2022 error -9 reading relation 53214
  23. Sun Mar 27 10:27:36 2022 error -15 reading relation 1448356
  24. Sun Mar 27 10:27:36 2022 error -1 reading relation 1448357
  25. Sun Mar 27 10:28:36 2022 error -15 reading relation 7679264
  26. Sun Mar 27 10:28:49 2022 error -1 reading relation 9090634
  27. Sun Mar 27 10:28:58 2022 error -5 reading relation 10047784
  28. Sun Mar 27 10:29:48 2022 error -15 reading relation 15348221
  29. Sun Mar 27 11:44:59 2022 error -15 reading relation 473614858
  30. Sun Mar 27 11:45:02 2022 error -15 reading relation 473917759
  31. Sun Mar 27 11:45:02 2022 skipped 1 relations with b > 2^32
  32. Sun Mar 27 11:45:02 2022 found 117038133 hash collisions in 473938514 relations
  33. Sun Mar 27 11:45:49 2022 added 122183 free relations
  34. Sun Mar 27 11:45:49 2022 commencing duplicate removal, pass 2
  35. Sun Mar 27 11:49:55 2022 found 120202551 duplicates and 353858146 unique relations
  36. Sun Mar 27 11:49:55 2022 memory use: 2643.0 MB
  37. Sun Mar 27 11:49:56 2022 reading ideals above 720000
  38. Sun Mar 27 11:49:56 2022 commencing singleton removal, initial pass
  39. Sun Mar 27 13:08:22 2022 memory use: 11024.0 MB
  40. Sun Mar 27 13:08:23 2022 reading all ideals from disk
  41. Sun Mar 27 13:08:31 2022 memory use: 14856.1 MB
  42. Sun Mar 27 13:09:44 2022 keeping 335760357 ideals with weight <= 200, target excess is 1798978
  43. Sun Mar 27 13:11:04 2022 commencing in-memory singleton removal
  44. Sun Mar 27 13:11:59 2022 begin with 353858146 relations and 335760357 unique ideals
  45. Sun Mar 27 13:20:36 2022 reduce to 221307399 relations and 189051882 ideals in 14 passes
  46. Sun Mar 27 13:20:36 2022 max relations containing the same ideal: 155
  47. Sun Mar 27 13:23:17 2022 removing 14031748 relations and 12031748 ideals in 2000000 cliques
  48. Sun Mar 27 13:23:26 2022 commencing in-memory singleton removal
  49. Sun Mar 27 13:23:59 2022 begin with 207275651 relations and 189051882 unique ideals
  50. Sun Mar 27 13:29:44 2022 reduce to 206569377 relations and 176304975 ideals in 11 passes
  51. Sun Mar 27 13:29:44 2022 max relations containing the same ideal: 149
  52. Sun Mar 27 13:32:19 2022 removing 10564036 relations and 8564036 ideals in 2000000 cliques
  53. Sun Mar 27 13:32:24 2022 commencing in-memory singleton removal
  54. Sun Mar 27 13:32:54 2022 begin with 196005341 relations and 176304975 unique ideals
  55. Sun Mar 27 13:37:01 2022 reduce to 195556414 relations and 167287294 ideals in 8 passes
  56. Sun Mar 27 13:37:01 2022 max relations containing the same ideal: 142
  57. Sun Mar 27 13:39:23 2022 removing 9497782 relations and 7497782 ideals in 2000000 cliques
  58. Sun Mar 27 13:39:27 2022 commencing in-memory singleton removal
  59. Sun Mar 27 13:39:56 2022 begin with 186058632 relations and 167287294 unique ideals
  60. Sun Mar 27 13:44:07 2022 reduce to 185671263 relations and 159398274 ideals in 9 passes
  61. Sun Mar 27 13:44:07 2022 max relations containing the same ideal: 138
  62. Sun Mar 27 13:46:21 2022 removing 8921674 relations and 6921674 ideals in 2000000 cliques
  63. Sun Mar 27 13:46:26 2022 commencing in-memory singleton removal
  64. Sun Mar 27 13:46:54 2022 begin with 176749589 relations and 159398274 unique ideals
  65. Sun Mar 27 13:50:19 2022 reduce to 176388361 relations and 152111625 ideals in 7 passes
  66. Sun Mar 27 13:50:19 2022 max relations containing the same ideal: 135
  67. Sun Mar 27 13:52:27 2022 removing 8562906 relations and 6562906 ideals in 2000000 cliques
  68. Sun Mar 27 13:52:31 2022 commencing in-memory singleton removal
  69. Sun Mar 27 13:52:57 2022 begin with 167825455 relations and 152111625 unique ideals
  70. Sun Mar 27 13:55:55 2022 reduce to 167476143 relations and 145195751 ideals in 7 passes
  71. Sun Mar 27 13:55:55 2022 max relations containing the same ideal: 128
  72. Sun Mar 27 13:57:57 2022 removing 8314165 relations and 6314165 ideals in 2000000 cliques
  73. Sun Mar 27 13:58:02 2022 commencing in-memory singleton removal
  74. Sun Mar 27 13:58:27 2022 begin with 159161978 relations and 145195751 unique ideals
  75. Sun Mar 27 14:01:29 2022 reduce to 158816184 relations and 138532096 ideals in 7 passes
  76. Sun Mar 27 14:01:29 2022 max relations containing the same ideal: 125
  77. Sun Mar 27 14:03:30 2022 removing 8147724 relations and 6147724 ideals in 2000000 cliques
  78. Sun Mar 27 14:03:34 2022 commencing in-memory singleton removal
  79. Sun Mar 27 14:04:01 2022 begin with 150668460 relations and 138532096 unique ideals
  80. Sun Mar 27 14:07:04 2022 reduce to 150318525 relations and 132030547 ideals in 8 passes
  81. Sun Mar 27 14:07:04 2022 max relations containing the same ideal: 121
  82. Sun Mar 27 14:08:52 2022 removing 8038296 relations and 6038296 ideals in 2000000 cliques
  83. Sun Mar 27 14:08:56 2022 commencing in-memory singleton removal
  84. Sun Mar 27 14:09:18 2022 begin with 142280229 relations and 132030547 unique ideals
  85. Sun Mar 27 14:11:48 2022 reduce to 141920618 relations and 125628392 ideals in 7 passes
  86. Sun Mar 27 14:11:48 2022 max relations containing the same ideal: 114
  87. Sun Mar 27 14:13:41 2022 removing 7964338 relations and 5964338 ideals in 2000000 cliques
  88. Sun Mar 27 14:13:45 2022 commencing in-memory singleton removal
  89. Sun Mar 27 14:14:06 2022 begin with 133956280 relations and 125628392 unique ideals
  90. Sun Mar 27 14:16:47 2022 reduce to 133583117 relations and 119286206 ideals in 8 passes
  91. Sun Mar 27 14:16:47 2022 max relations containing the same ideal: 112
  92. Sun Mar 27 14:18:30 2022 removing 7929362 relations and 5929362 ideals in 2000000 cliques
  93. Sun Mar 27 14:18:33 2022 commencing in-memory singleton removal
  94. Sun Mar 27 14:18:53 2022 begin with 125653755 relations and 119286206 unique ideals
  95. Sun Mar 27 14:21:26 2022 reduce to 125261405 relations and 112959323 ideals in 8 passes
  96. Sun Mar 27 14:21:26 2022 max relations containing the same ideal: 105
  97. Sun Mar 27 14:23:06 2022 removing 7928424 relations and 5928424 ideals in 2000000 cliques
  98. Sun Mar 27 14:23:10 2022 commencing in-memory singleton removal
  99. Sun Mar 27 14:23:29 2022 begin with 117332981 relations and 112959323 unique ideals
  100. Sun Mar 27 14:25:36 2022 reduce to 116915055 relations and 106607093 ideals in 7 passes
  101. Sun Mar 27 14:25:36 2022 max relations containing the same ideal: 100
  102. Sun Mar 27 14:27:05 2022 removing 7955410 relations and 5955410 ideals in 2000000 cliques
  103. Sun Mar 27 14:27:09 2022 commencing in-memory singleton removal
  104. Sun Mar 27 14:27:26 2022 begin with 108959645 relations and 106607093 unique ideals
  105. Sun Mar 27 14:29:52 2022 reduce to 108504035 relations and 100189538 ideals in 7 passes
  106. Sun Mar 27 14:29:52 2022 max relations containing the same ideal: 96
  107. Sun Mar 27 14:31:13 2022 removing 8015471 relations and 6015471 ideals in 2000000 cliques
  108. Sun Mar 27 14:31:16 2022 commencing in-memory singleton removal
  109. Sun Mar 27 14:31:30 2022 begin with 100488564 relations and 100189538 unique ideals
  110. Sun Mar 27 14:33:27 2022 reduce to 99988497 relations and 93665974 ideals in 8 passes
  111. Sun Mar 27 14:33:27 2022 max relations containing the same ideal: 90
  112. Sun Mar 27 14:34:40 2022 removing 8110260 relations and 6110260 ideals in 2000000 cliques
  113. Sun Mar 27 14:34:43 2022 commencing in-memory singleton removal
  114. Sun Mar 27 14:34:56 2022 begin with 91878237 relations and 93665974 unique ideals
  115. Sun Mar 27 14:36:39 2022 reduce to 91315992 relations and 86983838 ideals in 8 passes
  116. Sun Mar 27 14:36:39 2022 max relations containing the same ideal: 86
  117. Sun Mar 27 14:37:44 2022 removing 8249119 relations and 6249119 ideals in 2000000 cliques
  118. Sun Mar 27 14:37:47 2022 commencing in-memory singleton removal
  119. Sun Mar 27 14:37:59 2022 begin with 83066873 relations and 86983838 unique ideals
  120. Sun Mar 27 14:39:56 2022 reduce to 82421380 relations and 80077273 ideals in 10 passes
  121. Sun Mar 27 14:39:56 2022 max relations containing the same ideal: 84
  122. Sun Mar 27 14:40:58 2022 removing 1591841 relations and 1334549 ideals in 257292 cliques
  123. Sun Mar 27 14:41:00 2022 commencing in-memory singleton removal
  124. Sun Mar 27 14:41:12 2022 begin with 80829539 relations and 80077273 unique ideals
  125. Sun Mar 27 14:42:24 2022 reduce to 80807274 relations and 78720391 ideals in 6 passes
  126. Sun Mar 27 14:42:24 2022 max relations containing the same ideal: 82
  127. Sun Mar 27 14:42:48 2022 relations with 0 large ideals: 6039
  128. Sun Mar 27 14:42:48 2022 relations with 1 large ideals: 36250
  129. Sun Mar 27 14:42:48 2022 relations with 2 large ideals: 492911
  130. Sun Mar 27 14:42:48 2022 relations with 3 large ideals: 2933341
  131. Sun Mar 27 14:42:48 2022 relations with 4 large ideals: 9485626
  132. Sun Mar 27 14:42:48 2022 relations with 5 large ideals: 18327970
  133. Sun Mar 27 14:42:48 2022 relations with 6 large ideals: 22186894
  134. Sun Mar 27 14:42:48 2022 relations with 7+ large ideals: 27338243
  135. Sun Mar 27 14:42:48 2022 commencing 2-way merge
  136. Sun Mar 27 14:44:13 2022 reduce to 50835402 relation sets and 48748519 unique ideals
  137. Sun Mar 27 14:44:13 2022 commencing full merge
  138. Sun Mar 27 15:10:50 2022 memory use: 5790.3 MB
  139. Sun Mar 27 15:11:04 2022 found 22080287 cycles, need 21962719
  140. Sun Mar 27 15:11:06 2022 weight of 21962719 cycles is about 2768069224 (126.03/cycle)
  141. Sun Mar 27 15:11:06 2022 distribution of cycle lengths:
  142. Sun Mar 27 15:11:06 2022 1 relations: 1546177
  143. Sun Mar 27 15:11:06 2022 2 relations: 1497378
  144. Sun Mar 27 15:11:06 2022 3 relations: 1558900
  145. Sun Mar 27 15:11:06 2022 4 relations: 1530031
  146. Sun Mar 27 15:11:06 2022 5 relations: 1540216
  147. Sun Mar 27 15:11:06 2022 6 relations: 1484076
  148. Sun Mar 27 15:11:06 2022 7 relations: 1450173
  149. Sun Mar 27 15:11:06 2022 8 relations: 1373323
  150. Sun Mar 27 15:11:06 2022 9 relations: 1310773
  151. Sun Mar 27 15:11:06 2022 10+ relations: 8671672
  152. Sun Mar 27 15:11:06 2022 heaviest cycle: 28 relations
  153. Sun Mar 27 15:12:01 2022 commencing cycle optimization
  154. Sun Mar 27 15:12:56 2022 start with 191409087 relations
  155. Sun Mar 27 15:24:24 2022 pruned 8089733 relations
  156. Sun Mar 27 15:24:24 2022 memory use: 5257.8 MB
  157. Sun Mar 27 15:24:25 2022 distribution of cycle lengths:
  158. Sun Mar 27 15:24:25 2022 1 relations: 1546177
  159. Sun Mar 27 15:24:25 2022 2 relations: 1538492
  160. Sun Mar 27 15:24:25 2022 3 relations: 1624606
  161. Sun Mar 27 15:24:25 2022 4 relations: 1591526
  162. Sun Mar 27 15:24:25 2022 5 relations: 1609754
  163. Sun Mar 27 15:24:25 2022 6 relations: 1549207
  164. Sun Mar 27 15:24:25 2022 7 relations: 1514300
  165. Sun Mar 27 15:24:25 2022 8 relations: 1431014
  166. Sun Mar 27 15:24:25 2022 9 relations: 1360900
  167. Sun Mar 27 15:24:25 2022 10+ relations: 8196743
  168. Sun Mar 27 15:24:25 2022 heaviest cycle: 28 relations
  169. Sun Mar 27 15:25:47 2022 RelProcTime: 17905
  170. Sun Mar 27 15:25:47 2022
  171. Sun Mar 27 15:25:47 2022 commencing linear algebra
  172. Sun Mar 27 15:25:54 2022 read 21962719 cycles
  173. Sun Mar 27 15:26:51 2022 cycles contain 79582064 unique relations
  174. Sun Mar 27 15:43:08 2022 read 79582064 relations
  175. Sun Mar 27 15:46:17 2022 using 20 quadratic characters above 4294917296
  176. Sun Mar 27 15:53:06 2022 building initial matrix
  177. Sun Mar 27 16:18:16 2022 memory use: 11257.1 MB
  178. Sun Mar 27 16:19:02 2022 read 21962719 cycles
  179. Sun Mar 27 16:19:12 2022 matrix is 21962541 x 21962719 (10762.6 MB) with weight 3270777997 (148.92/col)
  180. Sun Mar 27 16:19:12 2022 sparse part has weight 2579754002 (117.46/col)
  181. Sun Mar 27 16:30:15 2022 filtering completed in 2 passes
  182. Sun Mar 27 16:30:28 2022 matrix is 21961308 x 21961484 (10762.5 MB) with weight 3270719977 (148.93/col)
  183. Sun Mar 27 16:30:28 2022 sparse part has weight 2579737473 (117.47/col)
  184. Sun Mar 27 16:32:53 2022 matrix starts at (0, 0)
  185. Sun Mar 27 16:33:03 2022 matrix is 21961308 x 21961484 (10762.5 MB) with weight 3270719977 (148.93/col)
  186. Sun Mar 27 16:33:03 2022 sparse part has weight 2579737473 (117.47/col)
  187. Sun Mar 27 16:33:03 2022 saving the first 48 matrix rows for later
  188. Sun Mar 27 16:33:11 2022 matrix includes 64 packed rows
  189. Sun Mar 27 16:33:16 2022 matrix is 21961260 x 21961484 (10519.7 MB) with weight 2809175840 (127.91/col)
  190. Sun Mar 27 16:33:16 2022 sparse part has weight 2538065474 (115.57/col)
  191. Sun Mar 27 16:33:16 2022 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  192. Sun Mar 27 16:36:26 2022 commencing Lanczos iteration (24 threads)
  193. Sun Mar 27 16:36:26 2022 memory use: 8984.4 MB
  194. Sun Mar 27 16:37:16 2022 linear algebra at 0.0%, ETA 193h 8m
  195. Sun Mar 27 16:37:33 2022 checkpointing every 120000 dimensions
  196. Mon Apr 04 08:29:20 2022 lanczos halted after 347297 iterations (dim = 21961259)
  197. Mon Apr 04 08:29:45 2022 recovered 30 nontrivial dependencies
  198. Mon Apr 04 08:30:10 2022 BLanczosTime: 666263
  199. Mon Apr 04 08:30:10 2022
  200. Mon Apr 04 08:30:10 2022 commencing square root phase
  201. Mon Apr 04 08:30:10 2022 handling dependencies 1 to 64
  202. Mon Apr 04 08:30:10 2022 reading relations for dependency 1
  203. Mon Apr 04 08:30:15 2022 read 10982067 cycles
  204. Mon Apr 04 08:30:41 2022 cycles contain 39792004 unique relations
  205. Mon Apr 04 08:38:27 2022 read 39792004 relations
  206. Mon Apr 04 08:42:38 2022 multiplying 39792004 relations
  207. Mon Apr 04 09:59:00 2022 multiply complete, coefficients have about 2506.30 million bits
  208. Mon Apr 04 09:59:31 2022 initial square root is modulo 418273
  209. Mon Apr 04 11:33:02 2022 GCD is N, no factor found
  210. Mon Apr 04 11:33:02 2022 reading relations for dependency 2
  211. Mon Apr 04 11:33:07 2022 read 10978212 cycles
  212. Mon Apr 04 11:33:36 2022 cycles contain 39784782 unique relations
  213. Mon Apr 04 11:41:07 2022 read 39784782 relations
  214. Mon Apr 04 11:45:20 2022 multiplying 39784782 relations
  215. Mon Apr 04 13:01:10 2022 multiply complete, coefficients have about 2505.83 million bits
  216. Mon Apr 04 13:01:41 2022 initial square root is modulo 417191
  217. Mon Apr 04 14:35:16 2022 GCD is 1, no factor found
  218. Mon Apr 04 14:35:16 2022 reading relations for dependency 3
  219. Mon Apr 04 14:35:22 2022 read 10983720 cycles
  220. Mon Apr 04 14:35:49 2022 cycles contain 39791852 unique relations
  221. Mon Apr 04 14:43:29 2022 read 39791852 relations
  222. Mon Apr 04 14:47:36 2022 multiplying 39791852 relations
  223. Mon Apr 04 16:04:51 2022 multiply complete, coefficients have about 2506.29 million bits
  224. Mon Apr 04 16:05:22 2022 initial square root is modulo 418273
  225. Mon Apr 04 17:39:54 2022 GCD is 1, no factor found
  226. Mon Apr 04 17:39:54 2022 reading relations for dependency 4
  227. Mon Apr 04 17:39:59 2022 read 10981298 cycles
  228. Mon Apr 04 17:40:26 2022 cycles contain 39792900 unique relations
  229. Mon Apr 04 17:47:57 2022 read 39792900 relations
  230. Mon Apr 04 17:51:59 2022 multiplying 39792900 relations
  231. Mon Apr 04 19:08:22 2022 multiply complete, coefficients have about 2506.35 million bits
  232. Mon Apr 04 19:08:52 2022 initial square root is modulo 418273
  233. Mon Apr 04 20:41:37 2022 GCD is 1, no factor found
  234. Mon Apr 04 20:41:37 2022 reading relations for dependency 5
  235. Mon Apr 04 20:41:42 2022 read 10983723 cycles
  236. Mon Apr 04 20:42:10 2022 cycles contain 39801294 unique relations
  237. Mon Apr 04 20:49:44 2022 read 39801294 relations
  238. Mon Apr 04 20:53:50 2022 multiplying 39801294 relations
  239. Mon Apr 04 22:09:28 2022 multiply complete, coefficients have about 2506.88 million bits
  240. Mon Apr 04 22:09:59 2022 initial square root is modulo 419459
  241. Mon Apr 04 23:43:46 2022 sqrtTime: 54816
  242. Mon Apr 04 23:43:46 2022 prp69 factor: 188194761556146005743278446158882956037161175329692796065615273770177
  243. Mon Apr 04 23:43:46 2022 prp117 factor: 207146470905028216490406611369696331774334066172396731670682225802728412092312519092621161641691617839692256032699609
  244. Mon Apr 04 23:43:46 2022 elapsed time 205:16:25
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