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Mar 28th, 2023
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  1. Tue Mar 28 11:24:24 2023 Msieve v. 1.54 (SVN 03e8738)
  2. Tue Mar 28 11:24:24 2023 random seeds: e03ebf00 593b6a81
  3. Tue Mar 28 11:24:24 2023 Using 16 OpenMP threads
  4. Tue Mar 28 11:24:24 2023 factoring 117297489308189447617647790287425956835952812343245296675683197720999482690007597102637922680331295350501892171279583317860529296725932978701805030685812639620934902764830832623484607427035184784908346555294340463737459106407306265534617 (237 digits)
  5. Tue Mar 28 11:24:25 2023 no P-1/P+1/ECM available, skipping
  6. Tue Mar 28 11:24:25 2023 commencing number field sieve (237-digit input)
  7. Tue Mar 28 11:24:25 2023 R0: 178662885165766044010374357658411127669164935
  8. Tue Mar 28 11:24:25 2023 R1: -1809433571636962244892600015670556273672192
  9. Tue Mar 28 11:24:25 2023 A0: -2744
  10. Tue Mar 28 11:24:25 2023 A1: 5488
  11. Tue Mar 28 11:24:25 2023 A2: -3136
  12. Tue Mar 28 11:24:25 2023 A3: 588
  13. Tue Mar 28 11:24:25 2023 A4: 14
  14. Tue Mar 28 11:24:25 2023 A5: -14
  15. Tue Mar 28 11:24:25 2023 A6: 1
  16. Tue Mar 28 11:24:25 2023 skew 3.74, size 3.639e-13, alpha 1.665, combined = 5.166e-14 rroots = 6
  17. Tue Mar 28 11:24:25 2023
  18. Tue Mar 28 11:24:25 2023 commencing relation filtering
  19. Tue Mar 28 11:24:25 2023 setting target matrix density to 110.0
  20. Tue Mar 28 11:24:25 2023 estimated available RAM is 64238.6 MB
  21. Tue Mar 28 11:24:25 2023 commencing duplicate removal, pass 1
  22. Tue Mar 28 11:25:54 2023 error -11 reading relation 121604430
  23. Tue Mar 28 11:26:05 2023 error -15 reading relation 136972275
  24. Tue Mar 28 11:26:21 2023 error -15 reading relation 158793896
  25. Tue Mar 28 11:27:22 2023 error -15 reading relation 243728184
  26. Tue Mar 28 11:27:22 2023 error -15 reading relation 243744033
  27. Tue Mar 28 11:28:00 2023 skipped 190 relations with b > 2^32
  28. Tue Mar 28 11:28:00 2023 skipped 3 malformed relations
  29. Tue Mar 28 11:28:00 2023 found 9749026 hash collisions in 296041912 relations
  30. Tue Mar 28 11:28:04 2023 added 2438409 free relations
  31. Tue Mar 28 11:28:04 2023 commencing duplicate removal, pass 2
  32. Tue Mar 28 11:28:55 2023 found 0 duplicates and 298480321 unique relations
  33. Tue Mar 28 11:28:55 2023 memory use: 810.4 MB
  34. Tue Mar 28 11:28:55 2023 reading ideals above 214892544
  35. Tue Mar 28 11:28:55 2023 commencing singleton removal, initial pass
  36. Tue Mar 28 11:33:42 2023 memory use: 6024.0 MB
  37. Tue Mar 28 11:33:42 2023 reading all ideals from disk
  38. Tue Mar 28 11:33:43 2023 memory use: 7684.7 MB
  39. Tue Mar 28 11:33:49 2023 commencing in-memory singleton removal
  40. Tue Mar 28 11:33:52 2023 begin with 298480321 relations and 251250283 unique ideals
  41. Tue Mar 28 11:34:13 2023 reduce to 209639925 relations and 156913546 ideals in 17 passes
  42. Tue Mar 28 11:34:13 2023 max relations containing the same ideal: 51
  43. Tue Mar 28 11:34:17 2023 reading ideals above 720000
  44. Tue Mar 28 11:34:17 2023 commencing singleton removal, initial pass
  45. Tue Mar 28 11:41:02 2023 memory use: 5512.0 MB
  46. Tue Mar 28 11:41:03 2023 reading all ideals from disk
  47. Tue Mar 28 11:41:04 2023 memory use: 10377.2 MB
  48. Tue Mar 28 11:41:13 2023 keeping 179546386 ideals with weight <= 200, target excess is 1079830
  49. Tue Mar 28 11:41:25 2023 commencing in-memory singleton removal
  50. Tue Mar 28 11:41:29 2023 begin with 209639925 relations and 179546386 unique ideals
  51. Tue Mar 28 11:41:38 2023 reduce to 209639593 relations and 179546053 ideals in 4 passes
  52. Tue Mar 28 11:41:38 2023 max relations containing the same ideal: 200
  53. Tue Mar 28 11:42:17 2023 removing 14876473 relations and 12876473 ideals in 2000000 cliques
  54. Tue Mar 28 11:42:22 2023 commencing in-memory singleton removal
  55. Tue Mar 28 11:42:25 2023 begin with 194763120 relations and 179546053 unique ideals
  56. Tue Mar 28 11:42:43 2023 reduce to 193885893 relations and 165780623 ideals in 9 passes
  57. Tue Mar 28 11:42:43 2023 max relations containing the same ideal: 198
  58. Tue Mar 28 11:43:19 2023 removing 11141129 relations and 9141129 ideals in 2000000 cliques
  59. Tue Mar 28 11:43:23 2023 commencing in-memory singleton removal
  60. Tue Mar 28 11:43:26 2023 begin with 182744764 relations and 165780623 unique ideals
  61. Tue Mar 28 11:43:41 2023 reduce to 182196766 relations and 156085261 ideals in 8 passes
  62. Tue Mar 28 11:43:41 2023 max relations containing the same ideal: 192
  63. Tue Mar 28 11:44:15 2023 removing 9981475 relations and 7981475 ideals in 2000000 cliques
  64. Tue Mar 28 11:44:19 2023 commencing in-memory singleton removal
  65. Tue Mar 28 11:44:22 2023 begin with 172215291 relations and 156085261 unique ideals
  66. Tue Mar 28 11:44:34 2023 reduce to 171745363 relations and 147628641 ideals in 7 passes
  67. Tue Mar 28 11:44:34 2023 max relations containing the same ideal: 185
  68. Tue Mar 28 11:45:07 2023 removing 9364910 relations and 7364910 ideals in 2000000 cliques
  69. Tue Mar 28 11:45:10 2023 commencing in-memory singleton removal
  70. Tue Mar 28 11:45:13 2023 begin with 162380453 relations and 147628641 unique ideals
  71. Tue Mar 28 11:45:26 2023 reduce to 161941618 relations and 139819866 ideals in 8 passes
  72. Tue Mar 28 11:45:26 2023 max relations containing the same ideal: 179
  73. Tue Mar 28 11:45:57 2023 removing 8971956 relations and 6971956 ideals in 2000000 cliques
  74. Tue Mar 28 11:46:00 2023 commencing in-memory singleton removal
  75. Tue Mar 28 11:46:02 2023 begin with 152969662 relations and 139819866 unique ideals
  76. Tue Mar 28 11:46:15 2023 reduce to 152545704 relations and 132419079 ideals in 8 passes
  77. Tue Mar 28 11:46:15 2023 max relations containing the same ideal: 175
  78. Tue Mar 28 11:46:44 2023 removing 8704867 relations and 6704867 ideals in 2000000 cliques
  79. Tue Mar 28 11:46:47 2023 commencing in-memory singleton removal
  80. Tue Mar 28 11:46:50 2023 begin with 143840837 relations and 132419079 unique ideals
  81. Tue Mar 28 11:47:01 2023 reduce to 143420173 relations and 125288483 ideals in 8 passes
  82. Tue Mar 28 11:47:01 2023 max relations containing the same ideal: 168
  83. Tue Mar 28 11:47:29 2023 removing 8513828 relations and 6513828 ideals in 2000000 cliques
  84. Tue Mar 28 11:47:32 2023 commencing in-memory singleton removal
  85. Tue Mar 28 11:47:34 2023 begin with 134906345 relations and 125288483 unique ideals
  86. Tue Mar 28 11:47:45 2023 reduce to 134482339 relations and 118345335 ideals in 8 passes
  87. Tue Mar 28 11:47:45 2023 max relations containing the same ideal: 161
  88. Tue Mar 28 11:48:12 2023 removing 8383391 relations and 6383391 ideals in 2000000 cliques
  89. Tue Mar 28 11:48:14 2023 commencing in-memory singleton removal
  90. Tue Mar 28 11:48:17 2023 begin with 126098948 relations and 118345335 unique ideals
  91. Tue Mar 28 11:48:27 2023 reduce to 125664161 relations and 111521438 ideals in 8 passes
  92. Tue Mar 28 11:48:27 2023 max relations containing the same ideal: 153
  93. Tue Mar 28 11:48:52 2023 removing 8293830 relations and 6293830 ideals in 2000000 cliques
  94. Tue Mar 28 11:48:54 2023 commencing in-memory singleton removal
  95. Tue Mar 28 11:48:56 2023 begin with 117370331 relations and 111521438 unique ideals
  96. Tue Mar 28 11:49:06 2023 reduce to 116919661 relations and 104770593 ideals in 8 passes
  97. Tue Mar 28 11:49:06 2023 max relations containing the same ideal: 149
  98. Tue Mar 28 11:49:29 2023 removing 8236514 relations and 6236514 ideals in 2000000 cliques
  99. Tue Mar 28 11:49:32 2023 commencing in-memory singleton removal
  100. Tue Mar 28 11:49:34 2023 begin with 108683147 relations and 104770593 unique ideals
  101. Tue Mar 28 11:49:42 2023 reduce to 108210366 relations and 98054222 ideals in 8 passes
  102. Tue Mar 28 11:49:42 2023 max relations containing the same ideal: 140
  103. Tue Mar 28 11:50:04 2023 removing 8205796 relations and 6205796 ideals in 2000000 cliques
  104. Tue Mar 28 11:50:06 2023 commencing in-memory singleton removal
  105. Tue Mar 28 11:50:08 2023 begin with 100004570 relations and 98054222 unique ideals
  106. Tue Mar 28 11:50:16 2023 reduce to 99503846 relations and 91339531 ideals in 8 passes
  107. Tue Mar 28 11:50:16 2023 max relations containing the same ideal: 130
  108. Tue Mar 28 11:50:36 2023 removing 8198577 relations and 6198577 ideals in 2000000 cliques
  109. Tue Mar 28 11:50:39 2023 commencing in-memory singleton removal
  110. Tue Mar 28 11:50:40 2023 begin with 91305269 relations and 91339531 unique ideals
  111. Tue Mar 28 11:50:47 2023 reduce to 90761489 relations and 84587848 ideals in 8 passes
  112. Tue Mar 28 11:50:47 2023 max relations containing the same ideal: 124
  113. Tue Mar 28 11:51:06 2023 removing 8216250 relations and 6216250 ideals in 2000000 cliques
  114. Tue Mar 28 11:51:09 2023 commencing in-memory singleton removal
  115. Tue Mar 28 11:51:10 2023 begin with 82545239 relations and 84587848 unique ideals
  116. Tue Mar 28 11:51:16 2023 reduce to 81952951 relations and 77768214 ideals in 8 passes
  117. Tue Mar 28 11:51:16 2023 max relations containing the same ideal: 114
  118. Tue Mar 28 11:51:34 2023 removing 8255397 relations and 6255397 ideals in 2000000 cliques
  119. Tue Mar 28 11:51:36 2023 commencing in-memory singleton removal
  120. Tue Mar 28 11:51:37 2023 begin with 73697554 relations and 77768214 unique ideals
  121. Tue Mar 28 11:51:43 2023 reduce to 73036868 relations and 70838382 ideals in 8 passes
  122. Tue Mar 28 11:51:43 2023 max relations containing the same ideal: 105
  123. Tue Mar 28 11:51:59 2023 removing 4588728 relations and 3642845 ideals in 945883 cliques
  124. Tue Mar 28 11:52:00 2023 commencing in-memory singleton removal
  125. Tue Mar 28 11:52:01 2023 begin with 68448140 relations and 70838382 unique ideals
  126. Tue Mar 28 11:52:07 2023 reduce to 68235764 relations and 66980752 ideals in 8 passes
  127. Tue Mar 28 11:52:07 2023 max relations containing the same ideal: 100
  128. Tue Mar 28 11:52:28 2023 relations with 0 large ideals: 81392
  129. Tue Mar 28 11:52:28 2023 relations with 1 large ideals: 16572
  130. Tue Mar 28 11:52:28 2023 relations with 2 large ideals: 157358
  131. Tue Mar 28 11:52:28 2023 relations with 3 large ideals: 1141320
  132. Tue Mar 28 11:52:28 2023 relations with 4 large ideals: 4587338
  133. Tue Mar 28 11:52:28 2023 relations with 5 large ideals: 11126430
  134. Tue Mar 28 11:52:28 2023 relations with 6 large ideals: 17025329
  135. Tue Mar 28 11:52:28 2023 relations with 7+ large ideals: 34100025
  136. Tue Mar 28 11:52:28 2023 commencing 2-way merge
  137. Tue Mar 28 11:52:50 2023 reduce to 42926666 relation sets and 41671654 unique ideals
  138. Tue Mar 28 11:52:50 2023 commencing full merge
  139. Tue Mar 28 12:04:29 2023 memory use: 5872.4 MB
  140. Tue Mar 28 12:04:32 2023 found 20021153 cycles, need 19953854
  141. Tue Mar 28 12:04:36 2023 weight of 19953854 cycles is about 2195296038 (110.02/cycle)
  142. Tue Mar 28 12:04:36 2023 distribution of cycle lengths:
  143. Tue Mar 28 12:04:36 2023 1 relations: 1549664
  144. Tue Mar 28 12:04:36 2023 2 relations: 1588591
  145. Tue Mar 28 12:04:36 2023 3 relations: 1586459
  146. Tue Mar 28 12:04:36 2023 4 relations: 1510085
  147. Tue Mar 28 12:04:36 2023 5 relations: 1459459
  148. Tue Mar 28 12:04:36 2023 6 relations: 1401478
  149. Tue Mar 28 12:04:36 2023 7 relations: 1326841
  150. Tue Mar 28 12:04:36 2023 8 relations: 1253390
  151. Tue Mar 28 12:04:36 2023 9 relations: 1169368
  152. Tue Mar 28 12:04:36 2023 10+ relations: 7108519
  153. Tue Mar 28 12:04:36 2023 heaviest cycle: 28 relations
  154. Tue Mar 28 12:04:39 2023 commencing cycle optimization
  155. Tue Mar 28 12:05:06 2023 start with 162866746 relations
  156. Tue Mar 28 12:08:41 2023 pruned 6192697 relations
  157. Tue Mar 28 12:08:41 2023 memory use: 4487.6 MB
  158. Tue Mar 28 12:08:41 2023 distribution of cycle lengths:
  159. Tue Mar 28 12:08:41 2023 1 relations: 1549664
  160. Tue Mar 28 12:08:41 2023 2 relations: 1617727
  161. Tue Mar 28 12:08:41 2023 3 relations: 1639936
  162. Tue Mar 28 12:08:41 2023 4 relations: 1558948
  163. Tue Mar 28 12:08:41 2023 5 relations: 1518237
  164. Tue Mar 28 12:08:41 2023 6 relations: 1452991
  165. Tue Mar 28 12:08:41 2023 7 relations: 1379947
  166. Tue Mar 28 12:08:41 2023 8 relations: 1299466
  167. Tue Mar 28 12:08:41 2023 9 relations: 1208877
  168. Tue Mar 28 12:08:41 2023 10+ relations: 6728061
  169. Tue Mar 28 12:08:41 2023 heaviest cycle: 28 relations
  170. Tue Mar 28 12:09:03 2023 RelProcTime: 2678
  171. Tue Mar 28 12:09:03 2023
  172. Tue Mar 28 12:09:03 2023 commencing linear algebra
  173. Tue Mar 28 12:09:03 2023 using VBITS=256
  174. Tue Mar 28 12:09:04 2023 read 19953854 cycles
  175. Tue Mar 28 12:09:29 2023 cycles contain 67436812 unique relations
  176. Tue Mar 28 12:10:05 2023 read 67436812 relations
  177. Tue Mar 28 12:10:15 2023 using 20 quadratic characters above 4294917295
  178. Tue Mar 28 12:10:27 2023 building initial matrix
  179. Tue Mar 28 12:18:12 2023 memory use: 8342.4 MB
  180. Tue Mar 28 12:18:17 2023 read 19953854 cycles
  181. Tue Mar 28 12:18:19 2023 matrix is 19953677 x 19953854 (8678.4 MB) with weight 2469516330 (123.76/col)
  182. Tue Mar 28 12:18:19 2023 sparse part has weight 2075461186 (104.01/col)
  183. Tue Mar 28 12:20:36 2023 filtering completed in 2 passes
  184. Tue Mar 28 12:20:39 2023 matrix is 19952898 x 19953061 (8678.4 MB) with weight 2469492734 (123.77/col)
  185. Tue Mar 28 12:20:39 2023 sparse part has weight 2075453384 (104.02/col)
  186. Tue Mar 28 12:21:06 2023 matrix starts at (0, 0)
  187. Tue Mar 28 12:21:08 2023 matrix is 19952898 x 19953061 (8678.4 MB) with weight 2469492734 (123.77/col)
  188. Tue Mar 28 12:21:08 2023 sparse part has weight 2075453384 (104.02/col)
  189. Tue Mar 28 12:21:08 2023 saving the first 240 matrix rows for later
  190. Tue Mar 28 12:21:10 2023 matrix includes 256 packed rows
  191. Tue Mar 28 12:21:15 2023 matrix is 19952658 x 19953061 (8105.0 MB) with weight 1895467204 (95.00/col)
  192. Tue Mar 28 12:21:15 2023 sparse part has weight 1805439635 (90.48/col)
  193. Tue Mar 28 12:21:15 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  194. Tue Mar 28 12:21:15 2023 selected card has CUDA arch 8.6
  195. Tue Mar 28 12:22:33 2023 commencing Lanczos iteration
  196. Tue Mar 28 12:22:34 2023 memory use: 18950.2 MB
  197. Tue Mar 28 12:23:34 2023 linear algebra at 0.2%, ETA 10h39m
  198. Tue Mar 28 12:25:04 2023 checking every 30000 dimensions, checkpointing every 1860000 dimensions
  199. Tue Mar 28 23:05:56 2023 lanczos halted after 78175 iterations (dim = 19952657)
  200. Tue Mar 28 23:06:48 2023 recovered 34 nontrivial dependencies
  201. Tue Mar 28 23:06:48 2023 BLanczosTime: 39465
  202. Tue Mar 28 23:06:48 2023
  203. Tue Mar 28 23:06:48 2023 commencing square root phase
  204. Tue Mar 28 23:06:48 2023 handling dependencies 1 to 64
  205. Tue Mar 28 23:06:48 2023 reading relations for dependency 1
  206. Tue Mar 28 23:06:50 2023 read 9972362 cycles
  207. Tue Mar 28 23:07:03 2023 cycles contain 33709216 unique relations
  208. Tue Mar 28 23:07:41 2023 read 33709216 relations
  209. Tue Mar 28 23:09:16 2023 multiplying 33709216 relations
  210. Tue Mar 28 23:15:45 2023 multiply complete, coefficients have about 924.07 million bits
  211. Tue Mar 28 23:15:47 2023 initial square root is modulo 195116203
  212. Tue Mar 28 23:19:59 2023 GCD is 1, no factor found
  213. Tue Mar 28 23:19:59 2023 reading relations for dependency 2
  214. Tue Mar 28 23:20:00 2023 read 9978892 cycles
  215. Tue Mar 28 23:20:13 2023 cycles contain 33719872 unique relations
  216. Tue Mar 28 23:20:47 2023 read 33719872 relations
  217. Tue Mar 28 23:22:21 2023 multiplying 33719872 relations
  218. Tue Mar 28 23:28:50 2023 multiply complete, coefficients have about 924.36 million bits
  219. Tue Mar 28 23:28:52 2023 initial square root is modulo 196295221
  220. Tue Mar 28 23:32:56 2023 sqrtTime: 1568
  221. Tue Mar 28 23:32:56 2023 p114 factor: 536005453313354513401651349362632796807371410094869265426330100828425956101068368100382925922157183026013829016229
  222. Tue Mar 28 23:32:56 2023 p123 factor: 218836372994168181426090721979698941554356615803323753839367023122949390554995359770725321321750798547375544078667347763173
  223. Tue Mar 28 23:32:56 2023 elapsed time 12:08:32
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