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May 21st, 2023
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  1. Sun May 21 11:21:05 2023
  2. Sun May 21 11:21:05 2023
  3. Sun May 21 11:21:05 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun May 21 11:21:05 2023 random seeds: 08876f36 4ed3973d
  5. Sun May 21 11:21:05 2023 factoring 29591027907218465445651665777654256367045506182971090381414770659645696835453731560469113982348303756656097935011240263236433333997483111788199602127902483142300650631690321797063054253310909411153373261977 (206 digits)
  6. Sun May 21 11:21:07 2023 no P-1/P+1/ECM available, skipping
  7. Sun May 21 11:21:07 2023 commencing number field sieve (206-digit input)
  8. Sun May 21 11:21:07 2023 R0: 304533109195295057477791577957164251841
  9. Sun May 21 11:21:07 2023 R1: -1
  10. Sun May 21 11:21:07 2023 A0: -64633
  11. Sun May 21 11:21:07 2023 A1: 0
  12. Sun May 21 11:21:07 2023 A2: 0
  13. Sun May 21 11:21:07 2023 A3: 0
  14. Sun May 21 11:21:07 2023 A4: 0
  15. Sun May 21 11:21:07 2023 A5: 0
  16. Sun May 21 11:21:07 2023 A6: 1
  17. Sun May 21 11:21:07 2023 skew 6.33, size 9.422e-12, alpha 0.812, combined = 6.246e-13 rroots = 2
  18. Sun May 21 11:21:07 2023
  19. Sun May 21 11:21:07 2023 commencing relation filtering
  20. Sun May 21 11:21:07 2023 setting target matrix density to 120.0
  21. Sun May 21 11:21:07 2023 estimated available RAM is 15960.0 MB
  22. Sun May 21 11:21:07 2023 commencing duplicate removal, pass 1
  23. Sun May 21 11:46:28 2023 error -15 reading relation 146672529
  24. Sun May 21 11:47:10 2023 skipped 2 relations with b > 2^32
  25. Sun May 21 11:47:10 2023 skipped 1 relations with composite factors
  26. Sun May 21 11:47:10 2023 found 5069485 hash collisions in 151023220 relations
  27. Sun May 21 11:47:31 2023 added 1218957 free relations
  28. Sun May 21 11:47:31 2023 commencing duplicate removal, pass 2
  29. Sun May 21 11:48:33 2023 found 0 duplicates and 152242177 unique relations
  30. Sun May 21 11:48:33 2023 memory use: 506.4 MB
  31. Sun May 21 11:48:33 2023 reading ideals above 119865344
  32. Sun May 21 11:48:33 2023 commencing singleton removal, initial pass
  33. Sun May 21 12:06:38 2023 memory use: 3012.0 MB
  34. Sun May 21 12:06:38 2023 reading all ideals from disk
  35. Sun May 21 12:06:42 2023 memory use: 2611.7 MB
  36. Sun May 21 12:06:51 2023 commencing in-memory singleton removal
  37. Sun May 21 12:06:59 2023 begin with 152242177 relations and 119545053 unique ideals
  38. Sun May 21 12:08:40 2023 reduce to 105625904 relations and 68903937 ideals in 13 passes
  39. Sun May 21 12:08:40 2023 max relations containing the same ideal: 42
  40. Sun May 21 12:08:49 2023 reading ideals above 720000
  41. Sun May 21 12:08:49 2023 commencing singleton removal, initial pass
  42. Sun May 21 12:26:16 2023 memory use: 2756.0 MB
  43. Sun May 21 12:26:16 2023 reading all ideals from disk
  44. Sun May 21 12:26:25 2023 memory use: 4085.2 MB
  45. Sun May 21 12:26:42 2023 keeping 82039636 ideals with weight <= 200, target excess is 528293
  46. Sun May 21 12:27:02 2023 commencing in-memory singleton removal
  47. Sun May 21 12:27:17 2023 begin with 105625904 relations and 82039636 unique ideals
  48. Sun May 21 12:28:50 2023 reduce to 105625727 relations and 82039459 ideals in 6 passes
  49. Sun May 21 12:28:50 2023 max relations containing the same ideal: 200
  50. Sun May 21 12:30:12 2023 removing 9003599 relations and 7003599 ideals in 2000000 cliques
  51. Sun May 21 12:30:17 2023 commencing in-memory singleton removal
  52. Sun May 21 12:30:30 2023 begin with 96622128 relations and 82039459 unique ideals
  53. Sun May 21 12:32:11 2023 reduce to 96014852 relations and 74414005 ideals in 7 passes
  54. Sun May 21 12:32:11 2023 max relations containing the same ideal: 196
  55. Sun May 21 12:33:40 2023 removing 7071448 relations and 5071448 ideals in 2000000 cliques
  56. Sun May 21 12:33:45 2023 commencing in-memory singleton removal
  57. Sun May 21 12:33:56 2023 begin with 88943404 relations and 74414005 unique ideals
  58. Sun May 21 12:35:15 2023 reduce to 88521696 relations and 68912042 ideals in 7 passes
  59. Sun May 21 12:35:15 2023 max relations containing the same ideal: 188
  60. Sun May 21 12:36:37 2023 removing 6538362 relations and 4538362 ideals in 2000000 cliques
  61. Sun May 21 12:36:43 2023 commencing in-memory singleton removal
  62. Sun May 21 12:36:53 2023 begin with 81983334 relations and 68912042 unique ideals
  63. Sun May 21 12:37:52 2023 reduce to 81607002 relations and 63989145 ideals in 7 passes
  64. Sun May 21 12:37:52 2023 max relations containing the same ideal: 183
  65. Sun May 21 12:38:50 2023 removing 6275868 relations and 4275868 ideals in 2000000 cliques
  66. Sun May 21 12:38:54 2023 commencing in-memory singleton removal
  67. Sun May 21 12:39:03 2023 begin with 75331134 relations and 63989145 unique ideals
  68. Sun May 21 12:40:20 2023 reduce to 74971525 relations and 59345508 ideals in 8 passes
  69. Sun May 21 12:40:20 2023 max relations containing the same ideal: 171
  70. Sun May 21 12:41:26 2023 removing 6114234 relations and 4114234 ideals in 2000000 cliques
  71. Sun May 21 12:41:30 2023 commencing in-memory singleton removal
  72. Sun May 21 12:41:37 2023 begin with 68857291 relations and 59345508 unique ideals
  73. Sun May 21 12:42:28 2023 reduce to 68499374 relations and 54864769 ideals in 7 passes
  74. Sun May 21 12:42:28 2023 max relations containing the same ideal: 162
  75. Sun May 21 12:43:13 2023 removing 6013476 relations and 4013476 ideals in 2000000 cliques
  76. Sun May 21 12:43:17 2023 commencing in-memory singleton removal
  77. Sun May 21 12:43:23 2023 begin with 62485898 relations and 54864769 unique ideals
  78. Sun May 21 12:44:01 2023 reduce to 62117681 relations and 50473546 ideals in 6 passes
  79. Sun May 21 12:44:01 2023 max relations containing the same ideal: 152
  80. Sun May 21 12:44:45 2023 removing 5948292 relations and 3948292 ideals in 2000000 cliques
  81. Sun May 21 12:44:49 2023 commencing in-memory singleton removal
  82. Sun May 21 12:44:56 2023 begin with 56169389 relations and 50473546 unique ideals
  83. Sun May 21 12:45:32 2023 reduce to 55781050 relations and 46126038 ideals in 6 passes
  84. Sun May 21 12:45:32 2023 max relations containing the same ideal: 139
  85. Sun May 21 12:46:11 2023 removing 5908000 relations and 3908000 ideals in 2000000 cliques
  86. Sun May 21 12:46:14 2023 commencing in-memory singleton removal
  87. Sun May 21 12:46:20 2023 begin with 49873050 relations and 46126038 unique ideals
  88. Sun May 21 12:46:55 2023 reduce to 49456398 relations and 41788372 ideals in 7 passes
  89. Sun May 21 12:46:55 2023 max relations containing the same ideal: 130
  90. Sun May 21 12:47:31 2023 removing 5894134 relations and 3894134 ideals in 2000000 cliques
  91. Sun May 21 12:47:34 2023 commencing in-memory singleton removal
  92. Sun May 21 12:47:39 2023 begin with 43562264 relations and 41788372 unique ideals
  93. Sun May 21 12:48:12 2023 reduce to 43100997 relations and 37416833 ideals in 7 passes
  94. Sun May 21 12:48:12 2023 max relations containing the same ideal: 118
  95. Sun May 21 12:48:41 2023 removing 5891911 relations and 3891911 ideals in 2000000 cliques
  96. Sun May 21 12:48:45 2023 commencing in-memory singleton removal
  97. Sun May 21 12:48:49 2023 begin with 37209086 relations and 37416833 unique ideals
  98. Sun May 21 12:49:14 2023 reduce to 36686952 relations and 32982147 ideals in 7 passes
  99. Sun May 21 12:49:14 2023 max relations containing the same ideal: 105
  100. Sun May 21 12:49:39 2023 removing 5911864 relations and 3911864 ideals in 2000000 cliques
  101. Sun May 21 12:49:42 2023 commencing in-memory singleton removal
  102. Sun May 21 12:49:46 2023 begin with 30775088 relations and 32982147 unique ideals
  103. Sun May 21 12:50:06 2023 reduce to 30151322 relations and 28417829 ideals in 7 passes
  104. Sun May 21 12:50:06 2023 max relations containing the same ideal: 90
  105. Sun May 21 12:50:27 2023 removing 3712184 relations and 2591511 ideals in 1120673 cliques
  106. Sun May 21 12:50:29 2023 commencing in-memory singleton removal
  107. Sun May 21 12:50:31 2023 begin with 26439138 relations and 28417829 unique ideals
  108. Sun May 21 12:50:49 2023 reduce to 26104694 relations and 25480605 ideals in 7 passes
  109. Sun May 21 12:50:49 2023 max relations containing the same ideal: 81
  110. Sun May 21 12:51:06 2023 removing 73991 relations and 62722 ideals in 11269 cliques
  111. Sun May 21 12:51:08 2023 commencing in-memory singleton removal
  112. Sun May 21 12:51:10 2023 begin with 26030703 relations and 25480605 unique ideals
  113. Sun May 21 12:51:21 2023 reduce to 26030538 relations and 25417718 ideals in 5 passes
  114. Sun May 21 12:51:21 2023 max relations containing the same ideal: 81
  115. Sun May 21 12:51:29 2023 relations with 0 large ideals: 19435
  116. Sun May 21 12:51:29 2023 relations with 1 large ideals: 8348
  117. Sun May 21 12:51:29 2023 relations with 2 large ideals: 95707
  118. Sun May 21 12:51:29 2023 relations with 3 large ideals: 645635
  119. Sun May 21 12:51:29 2023 relations with 4 large ideals: 2359973
  120. Sun May 21 12:51:29 2023 relations with 5 large ideals: 5129354
  121. Sun May 21 12:51:29 2023 relations with 6 large ideals: 6940431
  122. Sun May 21 12:51:29 2023 relations with 7+ large ideals: 10831655
  123. Sun May 21 12:51:29 2023 commencing 2-way merge
  124. Sun May 21 12:51:53 2023 reduce to 17606125 relation sets and 16993305 unique ideals
  125. Sun May 21 12:51:53 2023 commencing full merge
  126. Sun May 21 13:00:58 2023 memory use: 2273.5 MB
  127. Sun May 21 13:01:00 2023 found 7886439 cycles, need 7871505
  128. Sun May 21 13:01:04 2023 weight of 7871505 cycles is about 945156265 (120.07/cycle)
  129. Sun May 21 13:01:04 2023 distribution of cycle lengths:
  130. Sun May 21 13:01:04 2023 1 relations: 270521
  131. Sun May 21 13:01:04 2023 2 relations: 429990
  132. Sun May 21 13:01:04 2023 3 relations: 527728
  133. Sun May 21 13:01:04 2023 4 relations: 562172
  134. Sun May 21 13:01:04 2023 5 relations: 586238
  135. Sun May 21 13:01:04 2023 6 relations: 590299
  136. Sun May 21 13:01:04 2023 7 relations: 581750
  137. Sun May 21 13:01:04 2023 8 relations: 558108
  138. Sun May 21 13:01:04 2023 9 relations: 525093
  139. Sun May 21 13:01:04 2023 10+ relations: 3239606
  140. Sun May 21 13:01:04 2023 heaviest cycle: 28 relations
  141. Sun May 21 13:01:07 2023 commencing cycle optimization
  142. Sun May 21 13:01:31 2023 start with 71601151 relations
  143. Sun May 21 13:05:17 2023 pruned 3682978 relations
  144. Sun May 21 13:05:17 2023 memory use: 1821.2 MB
  145. Sun May 21 13:05:17 2023 distribution of cycle lengths:
  146. Sun May 21 13:05:17 2023 1 relations: 270521
  147. Sun May 21 13:05:17 2023 2 relations: 441740
  148. Sun May 21 13:05:17 2023 3 relations: 551723
  149. Sun May 21 13:05:17 2023 4 relations: 588562
  150. Sun May 21 13:05:17 2023 5 relations: 620026
  151. Sun May 21 13:05:17 2023 6 relations: 622673
  152. Sun May 21 13:05:17 2023 7 relations: 616801
  153. Sun May 21 13:05:17 2023 8 relations: 589832
  154. Sun May 21 13:05:17 2023 9 relations: 552813
  155. Sun May 21 13:05:17 2023 10+ relations: 3016814
  156. Sun May 21 13:05:17 2023 heaviest cycle: 28 relations
  157. Sun May 21 13:05:41 2023 RelProcTime: 6274
  158. Sun May 21 13:05:41 2023 elapsed time 01:44:36
  159. Sun May 21 13:23:57 2023
  160. Sun May 21 13:23:57 2023
  161. Sun May 21 13:23:57 2023 Msieve v. 1.54 (SVN Unversioned directory)
  162. Sun May 21 13:23:57 2023 random seeds: 7983b12b c96c3c30
  163. Sun May 21 13:23:57 2023 factoring 29591027907218465445651665777654256367045506182971090381414770659645696835453731560469113982348303756656097935011240263236433333997483111788199602127902483142300650631690321797063054253310909411153373261977 (206 digits)
  164. Sun May 21 13:23:58 2023 no P-1/P+1/ECM available, skipping
  165. Sun May 21 13:23:58 2023 commencing number field sieve (206-digit input)
  166. Sun May 21 13:23:58 2023 R0: 304533109195295057477791577957164251841
  167. Sun May 21 13:23:58 2023 R1: -1
  168. Sun May 21 13:23:58 2023 A0: -64633
  169. Sun May 21 13:23:58 2023 A1: 0
  170. Sun May 21 13:23:58 2023 A2: 0
  171. Sun May 21 13:23:58 2023 A3: 0
  172. Sun May 21 13:23:58 2023 A4: 0
  173. Sun May 21 13:23:58 2023 A5: 0
  174. Sun May 21 13:23:58 2023 A6: 1
  175. Sun May 21 13:23:58 2023 skew 6.33, size 9.422e-12, alpha 0.812, combined = 6.246e-13 rroots = 2
  176. Sun May 21 13:23:58 2023
  177. Sun May 21 13:23:58 2023 commencing linear algebra
  178. Sun May 21 13:23:58 2023 using VBITS=512
  179. Sun May 21 13:24:00 2023 read 7871505 cycles
  180. Sun May 21 13:24:28 2023 cycles contain 25728118 unique relations
  181. Sun May 21 13:27:32 2023 read 25728118 relations
  182. Sun May 21 13:29:05 2023 using 20 quadratic characters above 4294917295
  183. Sun May 21 13:32:08 2023 building initial matrix
  184. Sun May 21 13:39:50 2023 memory use: 3277.7 MB
  185. Sun May 21 13:39:56 2023 read 7871505 cycles
  186. Sun May 21 13:39:58 2023 matrix is 7871328 x 7871505 (3665.1 MB) with weight 1057486163 (134.34/col)
  187. Sun May 21 13:39:58 2023 sparse part has weight 874204437 (111.06/col)
  188. Sun May 21 13:42:39 2023 filtering completed in 2 passes
  189. Sun May 21 13:42:41 2023 matrix is 7871254 x 7871418 (3665.1 MB) with weight 1057483092 (134.34/col)
  190. Sun May 21 13:42:41 2023 sparse part has weight 874203237 (111.06/col)
  191. Sun May 21 13:43:12 2023 matrix starts at (0, 0)
  192. Sun May 21 13:43:14 2023 matrix is 7871254 x 7871418 (3665.1 MB) with weight 1057483092 (134.34/col)
  193. Sun May 21 13:43:14 2023 sparse part has weight 874203237 (111.06/col)
  194. Sun May 21 13:43:14 2023 saving the first 496 matrix rows for later
  195. Sun May 21 13:43:17 2023 matrix includes 512 packed rows
  196. Sun May 21 13:43:25 2023 matrix is 7870758 x 7871418 (3434.2 MB) with weight 751131638 (95.43/col)
  197. Sun May 21 13:43:25 2023 sparse part has weight 711351432 (90.37/col)
  198. Sun May 21 13:43:25 2023 using GPU 0 (NVIDIA GeForce RTX 3060)
  199. Sun May 21 13:43:25 2023 selected card has CUDA arch 8.6
  200. Sun May 21 13:44:46 2023 commencing Lanczos iteration
  201. Sun May 21 13:44:47 2023 memory use: 9450.8 MB
  202. Sun May 21 13:45:18 2023 linear algebra at 0.2%, ETA 4h16m
  203. Sun May 21 13:45:19 2023 checkpointing every 1840000 dimensions
  204. Sun May 21 17:50:31 2023 lanczos halted after 15397 iterations (dim = 7870753)
  205. Sun May 21 17:53:51 2023 recovered 32 nontrivial dependencies
  206. Sun May 21 17:53:51 2023 BLanczosTime: 16193
  207. Sun May 21 17:53:51 2023
  208. Sun May 21 17:53:51 2023 commencing square root phase
  209. Sun May 21 17:53:51 2023 handling dependencies 1 to 64
  210. Sun May 21 17:53:51 2023 reading relations for dependency 1
  211. Sun May 21 17:53:53 2023 read 3938160 cycles
  212. Sun May 21 17:54:05 2023 cycles contain 12869052 unique relations
  213. Sun May 21 17:55:57 2023 read 12869052 relations
  214. Sun May 21 17:57:29 2023 multiplying 12869052 relations
  215. Sun May 21 18:09:57 2023 multiply complete, coefficients have about 334.30 million bits
  216. Sun May 21 18:09:59 2023 initial square root is modulo 996409
  217. Sun May 21 18:21:24 2023 GCD is N, no factor found
  218. Sun May 21 18:21:24 2023 reading relations for dependency 2
  219. Sun May 21 18:21:26 2023 read 3934953 cycles
  220. Sun May 21 18:21:33 2023 cycles contain 12863302 unique relations
  221. Sun May 21 18:22:39 2023 read 12863302 relations
  222. Sun May 21 18:23:31 2023 multiplying 12863302 relations
  223. Sun May 21 18:30:50 2023 multiply complete, coefficients have about 334.15 million bits
  224. Sun May 21 18:30:52 2023 initial square root is modulo 990169
  225. Sun May 21 18:38:48 2023 sqrtTime: 2697
  226. Sun May 21 18:38:48 2023 p102 factor: 861660220968393983610951373932270616044253057637743900430688444609228380799711247285326564142159611613
  227. Sun May 21 18:38:48 2023 p104 factor: 34341875355417939527889230811636041549479475092428726367824861446492832073536368857639474319548098760429
  228. Sun May 21 18:38:48 2023 elapsed time 05:14:51
  229.  
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