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Mar 4th, 2023
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  1. Sat Mar 4 07:59:25 2023
  2. Sat Mar 4 07:59:25 2023
  3. Sat Mar 4 07:59:25 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Mar 4 07:59:25 2023 random seeds: fabcf514 1c563c89
  5. Sat Mar 4 07:59:25 2023 factoring 707780530071707345026437368723758812837887540786397623332068783752469244209502126755850876328281213795437110169828336358136205616798744612710694692739132134771487200155714275108826440142123899050936914083489938312631559361813118952430451 (237 digits)
  6. Sat Mar 4 07:59:26 2023 no P-1/P+1/ECM available, skipping
  7. Sat Mar 4 07:59:26 2023 commencing number field sieve (237-digit input)
  8. Sat Mar 4 07:59:26 2023 R0: 2985266462343654494040601183054088382349
  9. Sat Mar 4 07:59:26 2023 R1: -1
  10. Sat Mar 4 07:59:26 2023 A0: 1
  11. Sat Mar 4 07:59:26 2023 A1: 1
  12. Sat Mar 4 07:59:26 2023 A2: 1
  13. Sat Mar 4 07:59:26 2023 A3: 1
  14. Sat Mar 4 07:59:26 2023 A4: 1
  15. Sat Mar 4 07:59:26 2023 A5: 1
  16. Sat Mar 4 07:59:26 2023 A6: 1
  17. Sat Mar 4 07:59:26 2023 skew 1.00, size 1.024e-11, alpha 2.428, combined = 6.492e-13 rroots = 0
  18. Sat Mar 4 07:59:26 2023
  19. Sat Mar 4 07:59:26 2023 commencing relation filtering
  20. Sat Mar 4 07:59:26 2023 setting target matrix density to 112.0
  21. Sat Mar 4 07:59:26 2023 estimated available RAM is 15960.0 MB
  22. Sat Mar 4 07:59:26 2023 commencing duplicate removal, pass 1
  23. Sat Mar 4 08:16:58 2023 skipped 38 relations with b > 2^32
  24. Sat Mar 4 08:16:58 2023 skipped 2 relations with composite factors
  25. Sat Mar 4 08:16:58 2023 found 9891791 hash collisions in 152661271 relations
  26. Sat Mar 4 08:16:58 2023 commencing duplicate removal, pass 2
  27. Sat Mar 4 08:17:39 2023 found 0 duplicates and 152661271 unique relations
  28. Sat Mar 4 08:17:39 2023 memory use: 394.4 MB
  29. Sat Mar 4 08:17:39 2023 reading ideals above 104792064
  30. Sat Mar 4 08:17:39 2023 commencing singleton removal, initial pass
  31. Sat Mar 4 08:31:15 2023 memory use: 3012.0 MB
  32. Sat Mar 4 08:31:15 2023 reading all ideals from disk
  33. Sat Mar 4 08:31:18 2023 memory use: 2721.9 MB
  34. Sat Mar 4 08:31:23 2023 commencing in-memory singleton removal
  35. Sat Mar 4 08:31:29 2023 begin with 152661271 relations and 120609134 unique ideals
  36. Sat Mar 4 08:32:20 2023 reduce to 106512449 relations and 70488530 ideals in 12 passes
  37. Sat Mar 4 08:32:20 2023 max relations containing the same ideal: 47
  38. Sat Mar 4 08:32:25 2023 reading ideals above 720000
  39. Sat Mar 4 08:32:25 2023 commencing singleton removal, initial pass
  40. Sat Mar 4 08:44:02 2023 memory use: 2756.0 MB
  41. Sat Mar 4 08:44:02 2023 reading all ideals from disk
  42. Sat Mar 4 08:44:09 2023 memory use: 4110.2 MB
  43. Sat Mar 4 08:44:18 2023 keeping 82004760 ideals with weight <= 200, target excess is 525461
  44. Sat Mar 4 08:44:29 2023 commencing in-memory singleton removal
  45. Sat Mar 4 08:44:36 2023 begin with 106512449 relations and 82004760 unique ideals
  46. Sat Mar 4 08:44:58 2023 reduce to 106512380 relations and 82004691 ideals in 3 passes
  47. Sat Mar 4 08:44:58 2023 max relations containing the same ideal: 200
  48. Sat Mar 4 08:45:37 2023 removing 8817157 relations and 6817157 ideals in 2000000 cliques
  49. Sat Mar 4 08:45:40 2023 commencing in-memory singleton removal
  50. Sat Mar 4 08:45:48 2023 begin with 97695223 relations and 82004691 unique ideals
  51. Sat Mar 4 08:46:35 2023 reduce to 97110875 relations and 74589342 ideals in 7 passes
  52. Sat Mar 4 08:46:35 2023 max relations containing the same ideal: 198
  53. Sat Mar 4 08:47:11 2023 removing 6944136 relations and 4944136 ideals in 2000000 cliques
  54. Sat Mar 4 08:47:15 2023 commencing in-memory singleton removal
  55. Sat Mar 4 08:47:21 2023 begin with 90166739 relations and 74589342 unique ideals
  56. Sat Mar 4 08:48:01 2023 reduce to 89764085 relations and 69234099 ideals in 7 passes
  57. Sat Mar 4 08:48:01 2023 max relations containing the same ideal: 188
  58. Sat Mar 4 08:48:33 2023 removing 6433575 relations and 4433575 ideals in 2000000 cliques
  59. Sat Mar 4 08:48:36 2023 commencing in-memory singleton removal
  60. Sat Mar 4 08:48:41 2023 begin with 83330510 relations and 69234099 unique ideals
  61. Sat Mar 4 08:49:18 2023 reduce to 82970632 relations and 64433052 ideals in 7 passes
  62. Sat Mar 4 08:49:18 2023 max relations containing the same ideal: 180
  63. Sat Mar 4 08:49:47 2023 removing 6178712 relations and 4178712 ideals in 2000000 cliques
  64. Sat Mar 4 08:49:49 2023 commencing in-memory singleton removal
  65. Sat Mar 4 08:49:54 2023 begin with 76791920 relations and 64433052 unique ideals
  66. Sat Mar 4 08:50:20 2023 reduce to 76445642 relations and 59900259 ideals in 6 passes
  67. Sat Mar 4 08:50:20 2023 max relations containing the same ideal: 172
  68. Sat Mar 4 08:50:45 2023 removing 6023279 relations and 4023279 ideals in 2000000 cliques
  69. Sat Mar 4 08:50:48 2023 commencing in-memory singleton removal
  70. Sat Mar 4 08:50:52 2023 begin with 70422363 relations and 59900259 unique ideals
  71. Sat Mar 4 08:51:19 2023 reduce to 70075906 relations and 55522138 ideals in 7 passes
  72. Sat Mar 4 08:51:19 2023 max relations containing the same ideal: 163
  73. Sat Mar 4 08:51:41 2023 removing 5935346 relations and 3935346 ideals in 2000000 cliques
  74. Sat Mar 4 08:51:44 2023 commencing in-memory singleton removal
  75. Sat Mar 4 08:51:47 2023 begin with 64140560 relations and 55522138 unique ideals
  76. Sat Mar 4 08:52:08 2023 reduce to 63781855 relations and 51219129 ideals in 6 passes
  77. Sat Mar 4 08:52:08 2023 max relations containing the same ideal: 152
  78. Sat Mar 4 08:52:29 2023 removing 5873115 relations and 3873115 ideals in 2000000 cliques
  79. Sat Mar 4 08:52:31 2023 commencing in-memory singleton removal
  80. Sat Mar 4 08:52:34 2023 begin with 57908740 relations and 51219129 unique ideals
  81. Sat Mar 4 08:52:56 2023 reduce to 57527975 relations and 46954526 ideals in 7 passes
  82. Sat Mar 4 08:52:56 2023 max relations containing the same ideal: 143
  83. Sat Mar 4 08:53:15 2023 removing 5846288 relations and 3846288 ideals in 2000000 cliques
  84. Sat Mar 4 08:53:17 2023 commencing in-memory singleton removal
  85. Sat Mar 4 08:53:20 2023 begin with 51681687 relations and 46954526 unique ideals
  86. Sat Mar 4 08:53:39 2023 reduce to 51269849 relations and 42683780 ideals in 7 passes
  87. Sat Mar 4 08:53:39 2023 max relations containing the same ideal: 130
  88. Sat Mar 4 08:53:56 2023 removing 5841929 relations and 3841929 ideals in 2000000 cliques
  89. Sat Mar 4 08:53:58 2023 commencing in-memory singleton removal
  90. Sat Mar 4 08:54:01 2023 begin with 45427920 relations and 42683780 unique ideals
  91. Sat Mar 4 08:54:20 2023 reduce to 44970632 relations and 38369248 ideals in 8 passes
  92. Sat Mar 4 08:54:20 2023 max relations containing the same ideal: 120
  93. Sat Mar 4 08:54:35 2023 removing 5862368 relations and 3862368 ideals in 2000000 cliques
  94. Sat Mar 4 08:54:36 2023 commencing in-memory singleton removal
  95. Sat Mar 4 08:54:39 2023 begin with 39108264 relations and 38369248 unique ideals
  96. Sat Mar 4 08:54:55 2023 reduce to 38586909 relations and 33965432 ideals in 8 passes
  97. Sat Mar 4 08:54:55 2023 max relations containing the same ideal: 109
  98. Sat Mar 4 08:55:08 2023 removing 5907391 relations and 3907391 ideals in 2000000 cliques
  99. Sat Mar 4 08:55:10 2023 commencing in-memory singleton removal
  100. Sat Mar 4 08:55:11 2023 begin with 32679518 relations and 33965432 unique ideals
  101. Sat Mar 4 08:55:25 2023 reduce to 32059774 relations and 29410292 ideals in 8 passes
  102. Sat Mar 4 08:55:25 2023 max relations containing the same ideal: 94
  103. Sat Mar 4 08:55:35 2023 removing 5967876 relations and 3967876 ideals in 2000000 cliques
  104. Sat Mar 4 08:55:37 2023 commencing in-memory singleton removal
  105. Sat Mar 4 08:55:39 2023 begin with 26091898 relations and 29410292 unique ideals
  106. Sat Mar 4 08:55:49 2023 reduce to 25307579 relations and 24615011 ideals in 8 passes
  107. Sat Mar 4 08:55:49 2023 max relations containing the same ideal: 82
  108. Sat Mar 4 08:55:58 2023 removing 460933 relations and 377900 ideals in 83033 cliques
  109. Sat Mar 4 08:55:58 2023 commencing in-memory singleton removal
  110. Sat Mar 4 08:56:00 2023 begin with 24846646 relations and 24615011 unique ideals
  111. Sat Mar 4 08:56:06 2023 reduce to 24839226 relations and 24229666 ideals in 5 passes
  112. Sat Mar 4 08:56:06 2023 max relations containing the same ideal: 81
  113. Sat Mar 4 08:56:11 2023 relations with 0 large ideals: 40131
  114. Sat Mar 4 08:56:11 2023 relations with 1 large ideals: 8374
  115. Sat Mar 4 08:56:11 2023 relations with 2 large ideals: 93985
  116. Sat Mar 4 08:56:11 2023 relations with 3 large ideals: 624909
  117. Sat Mar 4 08:56:11 2023 relations with 4 large ideals: 2259839
  118. Sat Mar 4 08:56:11 2023 relations with 5 large ideals: 4858834
  119. Sat Mar 4 08:56:11 2023 relations with 6 large ideals: 6523714
  120. Sat Mar 4 08:56:11 2023 relations with 7+ large ideals: 10429440
  121. Sat Mar 4 08:56:11 2023 commencing 2-way merge
  122. Sat Mar 4 08:56:22 2023 reduce to 16709560 relation sets and 16100000 unique ideals
  123. Sat Mar 4 08:56:22 2023 commencing full merge
  124. Sat Mar 4 09:01:50 2023 memory use: 2231.5 MB
  125. Sat Mar 4 09:01:52 2023 found 7640285 cycles, need 7624200
  126. Sat Mar 4 09:01:54 2023 weight of 7624200 cycles is about 854152970 (112.03/cycle)
  127. Sat Mar 4 09:01:54 2023 distribution of cycle lengths:
  128. Sat Mar 4 09:01:54 2023 1 relations: 364892
  129. Sat Mar 4 09:01:54 2023 2 relations: 478106
  130. Sat Mar 4 09:01:54 2023 3 relations: 554797
  131. Sat Mar 4 09:01:54 2023 4 relations: 572292
  132. Sat Mar 4 09:01:54 2023 5 relations: 585230
  133. Sat Mar 4 09:01:54 2023 6 relations: 575366
  134. Sat Mar 4 09:01:54 2023 7 relations: 559673
  135. Sat Mar 4 09:01:54 2023 8 relations: 528009
  136. Sat Mar 4 09:01:54 2023 9 relations: 489732
  137. Sat Mar 4 09:01:54 2023 10+ relations: 2916103
  138. Sat Mar 4 09:01:54 2023 heaviest cycle: 28 relations
  139. Sat Mar 4 09:01:56 2023 commencing cycle optimization
  140. Sat Mar 4 09:02:08 2023 start with 66461244 relations
  141. Sat Mar 4 09:04:12 2023 pruned 3179676 relations
  142. Sat Mar 4 09:04:12 2023 memory use: 1717.5 MB
  143. Sat Mar 4 09:04:12 2023 distribution of cycle lengths:
  144. Sat Mar 4 09:04:12 2023 1 relations: 364892
  145. Sat Mar 4 09:04:12 2023 2 relations: 488538
  146. Sat Mar 4 09:04:12 2023 3 relations: 577060
  147. Sat Mar 4 09:04:12 2023 4 relations: 595774
  148. Sat Mar 4 09:04:12 2023 5 relations: 615869
  149. Sat Mar 4 09:04:12 2023 6 relations: 604815
  150. Sat Mar 4 09:04:12 2023 7 relations: 590157
  151. Sat Mar 4 09:04:12 2023 8 relations: 554176
  152. Sat Mar 4 09:04:12 2023 9 relations: 512268
  153. Sat Mar 4 09:04:12 2023 10+ relations: 2720651
  154. Sat Mar 4 09:04:12 2023 heaviest cycle: 28 relations
  155. Sat Mar 4 09:04:25 2023 RelProcTime: 3899
  156. Sat Mar 4 09:04:25 2023 elapsed time 01:05:00
  157. Sat Mar 4 09:07:06 2023
  158. Sat Mar 4 09:07:06 2023
  159. Sat Mar 4 09:07:06 2023 Msieve v. 1.54 (SVN Unversioned directory)
  160. Sat Mar 4 09:07:06 2023 random seeds: 2c186c4e f5107043
  161. Sat Mar 4 09:07:06 2023 factoring 707780530071707345026437368723758812837887540786397623332068783752469244209502126755850876328281213795437110169828336358136205616798744612710694692739132134771487200155714275108826440142123899050936914083489938312631559361813118952430451 (237 digits)
  162. Sat Mar 4 09:07:07 2023 no P-1/P+1/ECM available, skipping
  163. Sat Mar 4 09:07:07 2023 commencing number field sieve (237-digit input)
  164. Sat Mar 4 09:07:07 2023 R0: 2985266462343654494040601183054088382349
  165. Sat Mar 4 09:07:07 2023 R1: -1
  166. Sat Mar 4 09:07:07 2023 A0: 1
  167. Sat Mar 4 09:07:07 2023 A1: 1
  168. Sat Mar 4 09:07:07 2023 A2: 1
  169. Sat Mar 4 09:07:07 2023 A3: 1
  170. Sat Mar 4 09:07:07 2023 A4: 1
  171. Sat Mar 4 09:07:07 2023 A5: 1
  172. Sat Mar 4 09:07:07 2023 A6: 1
  173. Sat Mar 4 09:07:07 2023 skew 1.00, size 1.024e-11, alpha 2.428, combined = 6.492e-13 rroots = 0
  174. Sat Mar 4 09:07:07 2023
  175. Sat Mar 4 09:07:07 2023 commencing linear algebra
  176. Sat Mar 4 09:07:07 2023 using VBITS=512
  177. Sat Mar 4 09:07:08 2023 read 7624200 cycles
  178. Sat Mar 4 09:07:19 2023 cycles contain 24531946 unique relations
  179. Sat Mar 4 09:09:21 2023 read 24531946 relations
  180. Sat Mar 4 09:09:52 2023 using 20 quadratic characters above 4294917295
  181. Sat Mar 4 09:11:26 2023 building initial matrix
  182. Sat Mar 4 09:15:40 2023 memory use: 3031.7 MB
  183. Sat Mar 4 09:15:42 2023 read 7624200 cycles
  184. Sat Mar 4 09:15:43 2023 matrix is 7624023 x 7624200 (3363.1 MB) with weight 956901245 (125.51/col)
  185. Sat Mar 4 09:15:43 2023 sparse part has weight 797737226 (104.63/col)
  186. Sat Mar 4 09:17:01 2023 filtering completed in 2 passes
  187. Sat Mar 4 09:17:02 2023 matrix is 7623873 x 7624016 (3363.0 MB) with weight 956895846 (125.51/col)
  188. Sat Mar 4 09:17:02 2023 sparse part has weight 797735485 (104.63/col)
  189. Sat Mar 4 09:17:21 2023 matrix starts at (0, 0)
  190. Sat Mar 4 09:17:21 2023 matrix is 7623873 x 7624016 (3363.0 MB) with weight 956895846 (125.51/col)
  191. Sat Mar 4 09:17:21 2023 sparse part has weight 797735485 (104.63/col)
  192. Sat Mar 4 09:17:21 2023 saving the first 496 matrix rows for later
  193. Sat Mar 4 09:17:23 2023 matrix includes 512 packed rows
  194. Sat Mar 4 09:17:28 2023 matrix is 7623377 x 7624016 (3182.7 MB) with weight 687796680 (90.21/col)
  195. Sat Mar 4 09:17:28 2023 sparse part has weight 651346010 (85.43/col)
  196. Sat Mar 4 09:17:28 2023 using GPU 0 (NVIDIA GeForce RTX 3060)
  197. Sat Mar 4 09:17:28 2023 selected card has CUDA arch 8.6
  198. Sat Mar 4 09:18:13 2023 commencing Lanczos iteration
  199. Sat Mar 4 09:18:14 2023 memory use: 8924.7 MB
  200. Sat Mar 4 09:18:42 2023 linear algebra at 0.2%, ETA 3h51m
  201. Sat Mar 4 09:18:43 2023 checkpointing every 1970000 dimensions
  202. Sat Mar 4 13:01:58 2023 lanczos halted after 14913 iterations (dim = 7623375)
  203. Sat Mar 4 13:03:39 2023 recovered 36 nontrivial dependencies
  204. Sat Mar 4 13:03:39 2023 BLanczosTime: 14192
  205. Sat Mar 4 13:03:39 2023
  206. Sat Mar 4 13:03:39 2023 commencing square root phase
  207. Sat Mar 4 13:03:39 2023 handling dependencies 1 to 64
  208. Sat Mar 4 13:03:39 2023 reading relations for dependency 1
  209. Sat Mar 4 13:03:40 2023 read 3810467 cycles
  210. Sat Mar 4 13:03:47 2023 cycles contain 12260000 unique relations
  211. Sat Mar 4 13:04:54 2023 read 12260000 relations
  212. Sat Mar 4 13:05:43 2023 multiplying 12260000 relations
  213. Sat Mar 4 13:12:08 2023 multiply complete, coefficients have about 302.23 million bits
  214. Sat Mar 4 13:12:10 2023 initial square root is modulo 264899
  215. Sat Mar 4 13:19:28 2023 GCD is N, no factor found
  216. Sat Mar 4 13:19:28 2023 reading relations for dependency 2
  217. Sat Mar 4 13:19:29 2023 read 3810411 cycles
  218. Sat Mar 4 13:19:36 2023 cycles contain 12265676 unique relations
  219. Sat Mar 4 13:20:43 2023 read 12265676 relations
  220. Sat Mar 4 13:21:29 2023 multiplying 12265676 relations
  221. Sat Mar 4 13:27:57 2023 multiply complete, coefficients have about 302.37 million bits
  222. Sat Mar 4 13:27:58 2023 initial square root is modulo 266411
  223. Sat Mar 4 13:35:14 2023 sqrtTime: 1895
  224. Sat Mar 4 13:35:14 2023 p67 factor: 3404298778846011497982086581975040544664108851326462873752931351621
  225. Sat Mar 4 13:35:14 2023 p171 factor: 207907876497147716271574203542466035655198765013107419568450687875774961524986406819574231183532129692353973447827430509151412905635662743830255618359692410919843994886231
  226. Sat Mar 4 13:35:14 2023 elapsed time 04:28:08
  227.  
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