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Dec 29th, 2024
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  1. Fri Dec 27 13:54:52 2024 Msieve v. 1.54 (SVN unknown)
  2. Fri Dec 27 13:54:52 2024 random seeds: e4e69383 ae3b7a08
  3. Fri Dec 27 13:54:52 2024 factoring 218400489565227643053706405687542017783614824539621921066993436822185645458014013322106478504155094715594298739918704367103496455746974349433060680920433604655701146839008074977065551996775139267490320521248076397216882590390825225287697858537879204831261789 (258 digits)
  4. Fri Dec 27 13:54:55 2024 no P-1/P+1/ECM available, skipping
  5. Fri Dec 27 13:54:55 2024 commencing number field sieve (258-digit input)
  6. Fri Dec 27 13:54:55 2024 R0: 11150372599265311570767859136324180752990208
  7. Fri Dec 27 13:54:55 2024 R1: -1
  8. Fri Dec 27 13:54:55 2024 A0: -4
  9. Fri Dec 27 13:54:55 2024 A1: 0
  10. Fri Dec 27 13:54:55 2024 A2: 0
  11. Fri Dec 27 13:54:55 2024 A3: 0
  12. Fri Dec 27 13:54:55 2024 A4: 0
  13. Fri Dec 27 13:54:55 2024 A5: 0
  14. Fri Dec 27 13:54:55 2024 A6: 5
  15. Fri Dec 27 13:54:55 2024 skew 1.25, size 7.918e-13, alpha 2.070, combined = 9.798e-14 rroots = 2
  16. Fri Dec 27 13:54:55 2024
  17. Fri Dec 27 13:54:55 2024 commencing relation filtering
  18. Fri Dec 27 13:54:55 2024 setting target matrix density to 96.0
  19. Fri Dec 27 13:54:55 2024 estimated available RAM is 128798.6 MB
  20. Fri Dec 27 13:54:55 2024 commencing duplicate removal, pass 1
  21. Fri Dec 27 14:19:15 2024 error -11 reading relation 99127613
  22. Fri Dec 27 15:12:35 2024 error -15 reading relation 310925302
  23. Fri Dec 27 15:16:39 2024 skipped 509 relations with b > 2^32
  24. Fri Dec 27 15:16:39 2024 skipped 4 relations with composite factors
  25. Fri Dec 27 15:16:39 2024 found 22561947 hash collisions in 327074488 relations
  26. Fri Dec 27 15:17:07 2024 added 1218185 free relations
  27. Fri Dec 27 15:17:07 2024 commencing duplicate removal, pass 2
  28. Fri Dec 27 15:21:40 2024 found 0 duplicates and 328292673 unique relations
  29. Fri Dec 27 15:21:40 2024 memory use: 1321.5 MB
  30. Fri Dec 27 15:21:40 2024 reading ideals above 720000
  31. Fri Dec 27 15:21:40 2024 commencing singleton removal, initial pass
  32. Fri Dec 27 16:59:45 2024 memory use: 6024.0 MB
  33. Fri Dec 27 16:59:46 2024 reading all ideals from disk
  34. Fri Dec 27 17:00:53 2024 memory use: 16018.7 MB
  35. Fri Dec 27 17:02:12 2024 keeping 314242519 ideals with weight <= 200, target excess is 1704070
  36. Fri Dec 27 17:03:42 2024 commencing in-memory singleton removal
  37. Fri Dec 27 17:05:32 2024 begin with 328292673 relations and 314242519 unique ideals
  38. Fri Dec 27 17:14:45 2024 reduce to 188458241 relations and 158418537 ideals in 18 passes
  39. Fri Dec 27 17:14:45 2024 max relations containing the same ideal: 145
  40. Fri Dec 27 17:18:05 2024 removing 13831472 relations and 11831472 ideals in 2000000 cliques
  41. Fri Dec 27 17:18:17 2024 commencing in-memory singleton removal
  42. Fri Dec 27 17:19:11 2024 begin with 174626769 relations and 158418537 unique ideals
  43. Fri Dec 27 17:22:44 2024 reduce to 173823689 relations and 145772636 ideals in 9 passes
  44. Fri Dec 27 17:22:44 2024 max relations containing the same ideal: 140
  45. Fri Dec 27 17:25:43 2024 removing 10431283 relations and 8431283 ideals in 2000000 cliques
  46. Fri Dec 27 17:25:53 2024 commencing in-memory singleton removal
  47. Fri Dec 27 17:26:42 2024 begin with 163392406 relations and 145772636 unique ideals
  48. Fri Dec 27 17:29:18 2024 reduce to 162873265 relations and 136815734 ideals in 8 passes
  49. Fri Dec 27 17:29:18 2024 max relations containing the same ideal: 133
  50. Fri Dec 27 17:31:57 2024 removing 9379585 relations and 7379585 ideals in 2000000 cliques
  51. Fri Dec 27 17:32:08 2024 commencing in-memory singleton removal
  52. Fri Dec 27 17:32:51 2024 begin with 153493680 relations and 136815734 unique ideals
  53. Fri Dec 27 17:35:13 2024 reduce to 153041696 relations and 128978711 ideals in 8 passes
  54. Fri Dec 27 17:35:13 2024 max relations containing the same ideal: 128
  55. Fri Dec 27 17:37:38 2024 removing 8824231 relations and 6824231 ideals in 2000000 cliques
  56. Fri Dec 27 17:37:47 2024 commencing in-memory singleton removal
  57. Fri Dec 27 17:38:27 2024 begin with 144217465 relations and 128978711 unique ideals
  58. Fri Dec 27 17:40:54 2024 reduce to 143792193 relations and 121724009 ideals in 9 passes
  59. Fri Dec 27 17:40:54 2024 max relations containing the same ideal: 125
  60. Fri Dec 27 17:43:12 2024 removing 8471490 relations and 6471490 ideals in 2000000 cliques
  61. Fri Dec 27 17:43:20 2024 commencing in-memory singleton removal
  62. Fri Dec 27 17:44:02 2024 begin with 135320703 relations and 121724009 unique ideals
  63. Fri Dec 27 17:46:30 2024 reduce to 134907148 relations and 114833709 ideals in 9 passes
  64. Fri Dec 27 17:46:30 2024 max relations containing the same ideal: 118
  65. Fri Dec 27 17:48:41 2024 removing 8238048 relations and 6238048 ideals in 2000000 cliques
  66. Fri Dec 27 17:48:49 2024 commencing in-memory singleton removal
  67. Fri Dec 27 17:49:24 2024 begin with 126669100 relations and 114833709 unique ideals
  68. Fri Dec 27 17:51:09 2024 reduce to 126252766 relations and 108173754 ideals in 7 passes
  69. Fri Dec 27 17:51:09 2024 max relations containing the same ideal: 114
  70. Fri Dec 27 17:53:13 2024 removing 8078812 relations and 6078812 ideals in 2000000 cliques
  71. Fri Dec 27 17:53:21 2024 commencing in-memory singleton removal
  72. Fri Dec 27 17:54:00 2024 begin with 118173954 relations and 108173754 unique ideals
  73. Fri Dec 27 17:56:09 2024 reduce to 117749582 relations and 101664641 ideals in 8 passes
  74. Fri Dec 27 17:56:09 2024 max relations containing the same ideal: 108
  75. Fri Dec 27 17:58:10 2024 removing 7972623 relations and 5972623 ideals in 2000000 cliques
  76. Fri Dec 27 17:58:18 2024 commencing in-memory singleton removal
  77. Fri Dec 27 17:58:48 2024 begin with 109776959 relations and 101664641 unique ideals
  78. Fri Dec 27 18:01:07 2024 reduce to 109337466 relations and 95245937 ideals in 10 passes
  79. Fri Dec 27 18:01:07 2024 max relations containing the same ideal: 102
  80. Fri Dec 27 18:02:53 2024 removing 7909987 relations and 5909987 ideals in 2000000 cliques
  81. Fri Dec 27 18:03:00 2024 commencing in-memory singleton removal
  82. Fri Dec 27 18:03:27 2024 begin with 101427479 relations and 95245937 unique ideals
  83. Fri Dec 27 18:05:05 2024 reduce to 100964564 relations and 88865793 ideals in 8 passes
  84. Fri Dec 27 18:05:05 2024 max relations containing the same ideal: 97
  85. Fri Dec 27 18:06:53 2024 removing 7881401 relations and 5881401 ideals in 2000000 cliques
  86. Fri Dec 27 18:07:00 2024 commencing in-memory singleton removal
  87. Fri Dec 27 18:07:27 2024 begin with 93083163 relations and 88865793 unique ideals
  88. Fri Dec 27 18:08:39 2024 reduce to 92585595 relations and 82478219 ideals in 7 passes
  89. Fri Dec 27 18:08:39 2024 max relations containing the same ideal: 93
  90. Fri Dec 27 18:10:13 2024 removing 7893432 relations and 5893432 ideals in 2000000 cliques
  91. Fri Dec 27 18:10:18 2024 commencing in-memory singleton removal
  92. Fri Dec 27 18:10:46 2024 begin with 84692163 relations and 82478219 unique ideals
  93. Fri Dec 27 18:12:17 2024 reduce to 84148886 relations and 76031290 ideals in 8 passes
  94. Fri Dec 27 18:12:17 2024 max relations containing the same ideal: 86
  95. Fri Dec 27 18:13:39 2024 removing 7932311 relations and 5932311 ideals in 2000000 cliques
  96. Fri Dec 27 18:13:45 2024 commencing in-memory singleton removal
  97. Fri Dec 27 18:14:05 2024 begin with 76216575 relations and 76031290 unique ideals
  98. Fri Dec 27 18:15:26 2024 reduce to 75612051 relations and 69482218 ideals in 9 passes
  99. Fri Dec 27 18:15:26 2024 max relations containing the same ideal: 82
  100. Fri Dec 27 18:16:43 2024 removing 8011693 relations and 6011694 ideals in 2000000 cliques
  101. Fri Dec 27 18:16:49 2024 commencing in-memory singleton removal
  102. Fri Dec 27 18:17:09 2024 begin with 67600358 relations and 69482218 unique ideals
  103. Fri Dec 27 18:18:51 2024 reduce to 66905203 relations and 62759546 ideals in 13 passes
  104. Fri Dec 27 18:18:51 2024 max relations containing the same ideal: 74
  105. Fri Dec 27 18:19:58 2024 removing 8138291 relations and 6138291 ideals in 2000000 cliques
  106. Fri Dec 27 18:20:04 2024 commencing in-memory singleton removal
  107. Fri Dec 27 18:20:22 2024 begin with 58766912 relations and 62759546 unique ideals
  108. Fri Dec 27 18:21:29 2024 reduce to 57941513 relations and 55774700 ideals in 9 passes
  109. Fri Dec 27 18:21:29 2024 max relations containing the same ideal: 67
  110. Fri Dec 27 18:22:29 2024 removing 1252447 relations and 1062356 ideals in 190091 cliques
  111. Fri Dec 27 18:22:32 2024 commencing in-memory singleton removal
  112. Fri Dec 27 18:22:47 2024 begin with 56689066 relations and 55774700 unique ideals
  113. Fri Dec 27 18:23:30 2024 reduce to 56669901 relations and 54693115 ideals in 7 passes
  114. Fri Dec 27 18:23:30 2024 max relations containing the same ideal: 66
  115. Fri Dec 27 18:23:45 2024 relations with 0 large ideals: 62533
  116. Fri Dec 27 18:23:45 2024 relations with 1 large ideals: 50906
  117. Fri Dec 27 18:23:45 2024 relations with 2 large ideals: 545249
  118. Fri Dec 27 18:23:45 2024 relations with 3 large ideals: 2928246
  119. Fri Dec 27 18:23:45 2024 relations with 4 large ideals: 8410406
  120. Fri Dec 27 18:23:45 2024 relations with 5 large ideals: 14258540
  121. Fri Dec 27 18:23:45 2024 relations with 6 large ideals: 14882239
  122. Fri Dec 27 18:23:45 2024 relations with 7+ large ideals: 15531782
  123. Fri Dec 27 18:23:45 2024 commencing 2-way merge
  124. Fri Dec 27 18:25:09 2024 reduce to 34596337 relation sets and 32619551 unique ideals
  125. Fri Dec 27 18:25:09 2024 commencing full merge
  126. Fri Dec 27 18:43:19 2024 memory use: 4031.5 MB
  127. Fri Dec 27 18:43:26 2024 found 16627939 cycles, need 16375751
  128. Fri Dec 27 18:43:35 2024 weight of 16375751 cycles is about 1572242495 (96.01/cycle)
  129. Fri Dec 27 18:43:35 2024 distribution of cycle lengths:
  130. Fri Dec 27 18:43:35 2024 1 relations: 1611661
  131. Fri Dec 27 18:43:35 2024 2 relations: 1449310
  132. Fri Dec 27 18:43:35 2024 3 relations: 1436182
  133. Fri Dec 27 18:43:35 2024 4 relations: 1375636
  134. Fri Dec 27 18:43:35 2024 5 relations: 1351407
  135. Fri Dec 27 18:43:35 2024 6 relations: 1280736
  136. Fri Dec 27 18:43:35 2024 7 relations: 1211735
  137. Fri Dec 27 18:43:35 2024 8 relations: 1111201
  138. Fri Dec 27 18:43:35 2024 9 relations: 1004321
  139. Fri Dec 27 18:43:35 2024 10+ relations: 4543562
  140. Fri Dec 27 18:43:35 2024 heaviest cycle: 25 relations
  141. Fri Dec 27 18:43:45 2024 commencing cycle optimization
  142. Fri Dec 27 18:44:39 2024 start with 114733842 relations
  143. Fri Dec 27 18:50:40 2024 pruned 3627938 relations
  144. Fri Dec 27 18:50:42 2024 memory use: 3475.3 MB
  145. Fri Dec 27 18:50:42 2024 distribution of cycle lengths:
  146. Fri Dec 27 18:50:42 2024 1 relations: 1611661
  147. Fri Dec 27 18:50:42 2024 2 relations: 1480313
  148. Fri Dec 27 18:50:42 2024 3 relations: 1486416
  149. Fri Dec 27 18:50:42 2024 4 relations: 1418806
  150. Fri Dec 27 18:50:42 2024 5 relations: 1399953
  151. Fri Dec 27 18:50:42 2024 6 relations: 1322635
  152. Fri Dec 27 18:50:42 2024 7 relations: 1252755
  153. Fri Dec 27 18:50:42 2024 8 relations: 1141203
  154. Fri Dec 27 18:50:42 2024 9 relations: 1025792
  155. Fri Dec 27 18:50:42 2024 10+ relations: 4236217
  156. Fri Dec 27 18:50:42 2024 heaviest cycle: 24 relations
  157. Fri Dec 27 18:51:41 2024 RelProcTime: 17806
  158. Fri Dec 27 18:51:41 2024 elapsed time 04:56:49
  159. Fri Dec 27 23:23:29 2024
  160. Fri Dec 27 23:23:29 2024
  161. Fri Dec 27 23:23:29 2024 Msieve v. 1.54 (SVN unknown)
  162. Fri Dec 27 23:23:29 2024 random seeds: 9572e23e fd579090
  163. Fri Dec 27 23:23:29 2024 factoring 218400489565227643053706405687542017783614824539621921066993436822185645458014013322106478504155094715594298739918704367103496455746974349433060680920433604655701146839008074977065551996775139267490320521248076397216882590390825225287697858537879204831261789 (258 digits)
  164. Fri Dec 27 23:23:31 2024 no P-1/P+1/ECM available, skipping
  165. Fri Dec 27 23:23:31 2024 commencing number field sieve (258-digit input)
  166. Fri Dec 27 23:23:31 2024 R0: 11150372599265311570767859136324180752990208
  167. Fri Dec 27 23:23:31 2024 R1: -1
  168. Fri Dec 27 23:23:31 2024 A0: -4
  169. Fri Dec 27 23:23:31 2024 A1: 0
  170. Fri Dec 27 23:23:31 2024 A2: 0
  171. Fri Dec 27 23:23:31 2024 A3: 0
  172. Fri Dec 27 23:23:31 2024 A4: 0
  173. Fri Dec 27 23:23:31 2024 A5: 0
  174. Fri Dec 27 23:23:31 2024 A6: 5
  175. Fri Dec 27 23:23:31 2024 skew 1.25, size 7.918e-13, alpha 2.070, combined = 9.798e-14 rroots = 2
  176. Fri Dec 27 23:23:31 2024
  177. Fri Dec 27 23:23:31 2024 commencing linear algebra
  178. Fri Dec 27 23:23:31 2024 using VBITS=128
  179. Fri Dec 27 23:23:35 2024 read 16375751 cycles
  180. Fri Dec 27 23:24:27 2024 cycles contain 55436064 unique relations
  181. Fri Dec 27 23:37:00 2024 read 55436064 relations
  182. Fri Dec 27 23:39:14 2024 using 20 quadratic characters above 4294917295
  183. Fri Dec 27 23:45:11 2024 building initial matrix
  184. Sat Dec 28 00:04:24 2024 memory use: 6826.4 MB
  185. Sat Dec 28 00:04:43 2024 read 16375751 cycles
  186. Sat Dec 28 00:04:47 2024 matrix is 16375570 x 16375751 (6398.7 MB) with weight 1822050568 (111.27/col)
  187. Sat Dec 28 00:04:47 2024 sparse part has weight 1497255265 (91.43/col)
  188. Sat Dec 28 00:10:15 2024 filtering completed in 2 passes
  189. Sat Dec 28 00:10:20 2024 matrix is 16370332 x 16370511 (6398.3 MB) with weight 1821880822 (111.29/col)
  190. Sat Dec 28 00:10:20 2024 sparse part has weight 1497187590 (91.46/col)
  191. Sat Dec 28 00:11:58 2024 matrix starts at (0, 0)
  192. Sat Dec 28 00:12:02 2024 matrix is 16370332 x 16370511 (6398.3 MB) with weight 1821880822 (111.29/col)
  193. Sat Dec 28 00:12:02 2024 sparse part has weight 1497187590 (91.46/col)
  194. Sat Dec 28 00:12:02 2024 saving the first 112 matrix rows for later
  195. Sat Dec 28 00:12:07 2024 matrix includes 128 packed rows
  196. Sat Dec 28 00:12:13 2024 matrix is 16370220 x 16370511 (5974.0 MB) with weight 1442770050 (88.13/col)
  197. Sat Dec 28 00:12:13 2024 sparse part has weight 1369601258 (83.66/col)
  198. Sat Dec 28 00:12:14 2024 using GPU 0 (Tesla P100-PCIE-16GB)
  199. Sat Dec 28 00:12:14 2024 selected card has CUDA arch 6.0
  200. Sat Dec 28 00:17:31 2024 commencing Lanczos iteration
  201. Sat Dec 28 00:17:33 2024 memory use: 12572.5 MB
  202. Sat Dec 28 00:19:47 2024 linear algebra at 0.2%, ETA 19h45m
  203. Sat Dec 28 00:20:22 2024 checking every 10000 dimensions, checkpointing every 830000 dimensions
  204. Sat Dec 28 20:10:49 2024 lanczos halted after 128666 iterations (dim = 16370220)
  205. Sat Dec 28 20:11:32 2024 recovered 39 nontrivial dependencies
  206. Sat Dec 28 20:11:33 2024 BLanczosTime: 74882
  207. Sat Dec 28 20:11:33 2024 elapsed time 20:48:04
  208. Sat Dec 28 20:30:49 2024
  209. Sat Dec 28 20:30:49 2024
  210. Sat Dec 28 20:30:49 2024 Msieve v. 1.54 (SVN unknown)
  211. Sat Dec 28 20:30:49 2024 random seeds: 0f9d2ef0 1b328f22
  212. Sat Dec 28 20:30:49 2024 factoring 218400489565227643053706405687542017783614824539621921066993436822185645458014013322106478504155094715594298739918704367103496455746974349433060680920433604655701146839008074977065551996775139267490320521248076397216882590390825225287697858537879204831261789 (258 digits)
  213. Sat Dec 28 20:30:52 2024 no P-1/P+1/ECM available, skipping
  214. Sat Dec 28 20:30:52 2024 commencing number field sieve (258-digit input)
  215. Sat Dec 28 20:30:52 2024 R0: 11150372599265311570767859136324180752990208
  216. Sat Dec 28 20:30:52 2024 R1: -1
  217. Sat Dec 28 20:30:52 2024 A0: -4
  218. Sat Dec 28 20:30:52 2024 A1: 0
  219. Sat Dec 28 20:30:52 2024 A2: 0
  220. Sat Dec 28 20:30:52 2024 A3: 0
  221. Sat Dec 28 20:30:52 2024 A4: 0
  222. Sat Dec 28 20:30:52 2024 A5: 0
  223. Sat Dec 28 20:30:52 2024 A6: 5
  224. Sat Dec 28 20:30:52 2024 skew 1.25, size 7.918e-13, alpha 2.070, combined = 9.798e-14 rroots = 2
  225. Sat Dec 28 20:30:52 2024
  226. Sat Dec 28 20:30:52 2024 commencing square root phase
  227. Sat Dec 28 20:30:52 2024 reading relations for dependency 1
  228. Sat Dec 28 20:30:55 2024 read 8185809 cycles
  229. Sat Dec 28 20:31:20 2024 cycles contain 27721374 unique relations
  230. Sat Dec 28 20:39:26 2024 read 27721374 relations
  231. Sat Dec 28 20:42:33 2024 multiplying 27721374 relations
  232. Sat Dec 28 21:05:24 2024 multiply complete, coefficients have about 778.11 million bits
  233. Sat Dec 28 21:05:27 2024 initial square root is modulo 9567703
  234. Sat Dec 28 21:25:54 2024 sqrtTime: 3302
  235. Sat Dec 28 21:25:54 2024 p95 factor: 27391416108820497592580194451827377911450434268529487591492071797552985895248955569696286834289
  236. Sat Dec 28 21:25:54 2024 p163 factor: 7973318673907443758836224956058366830041840997673811358569145164449741840583730052187271962641654527665607576629578379522968574077482066418267049624345678061347501
  237. Sat Dec 28 21:25:54 2024 elapsed time 00:55:05
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