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Aug 8th, 2025
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  1. Fri Aug 8 12:00:16 2025
  2. Fri Aug 8 12:00:16 2025
  3. Fri Aug 8 12:00:16 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Aug 8 12:00:16 2025 random seeds: e6d5edc4 6e1afadb
  5. Fri Aug 8 12:00:16 2025 MPI process 0 of 1
  6. Fri Aug 8 12:00:16 2025 Using 32 OpenMP threads
  7. Fri Aug 8 12:00:16 2025 factoring 55060819606144985331371350017116008744643992013232357555488822817880688295693678685683571692083958555930821030404202471744970185733786535035183369255267903908396717212859233 (173 digits)
  8. Fri Aug 8 12:00:17 2025 searching for 15-digit factors
  9. Fri Aug 8 12:00:17 2025 commencing number field sieve (173-digit input)
  10. Fri Aug 8 12:00:17 2025 R0: -2236788673686356786184578863421195
  11. Fri Aug 8 12:00:17 2025 R1: 9903680989089455593921837
  12. Fri Aug 8 12:00:17 2025 A0: 142711107738312298156791351965459809200
  13. Fri Aug 8 12:00:17 2025 A1: 8955880779291325038247879938577174
  14. Fri Aug 8 12:00:17 2025 A2: -3687900598273333854710802789
  15. Fri Aug 8 12:00:17 2025 A3: -1419002219012567133573
  16. Fri Aug 8 12:00:17 2025 A4: 115311261011300
  17. Fri Aug 8 12:00:17 2025 A5: 9351300
  18. Fri Aug 8 12:00:17 2025 skew 5240393.46, size 7.077e-17, alpha -7.183, combined = 2.372e-13 rroots = 5
  19. Fri Aug 8 12:00:17 2025
  20. Fri Aug 8 12:00:17 2025 commencing relation filtering
  21. Fri Aug 8 12:00:17 2025 setting target matrix density to 130.0
  22. Fri Aug 8 12:00:17 2025 estimated available RAM is 257736.5 MB
  23. Fri Aug 8 12:00:17 2025 commencing duplicate removal, pass 1
  24. Fri Aug 8 12:00:52 2025 error -1 reading relation 15738730
  25. Fri Aug 8 12:01:12 2025 error -1 reading relation 24986894
  26. Fri Aug 8 12:01:12 2025 error -1 reading relation 24987686
  27. Fri Aug 8 12:02:42 2025 error -1 reading relation 65250498
  28. Fri Aug 8 12:04:17 2025 error -1 reading relation 106979859
  29. Fri Aug 8 12:04:20 2025 error -1 reading relation 108163460
  30. Fri Aug 8 12:05:38 2025 error -1 reading relation 142617705
  31. Fri Aug 8 12:06:20 2025 error -1 reading relation 161428319
  32. Fri Aug 8 12:06:20 2025 error -1 reading relation 161434191
  33. Fri Aug 8 12:06:35 2025 error -1 reading relation 167668788
  34. Fri Aug 8 12:06:39 2025 error -1 reading relation 169405553
  35. Fri Aug 8 12:06:41 2025 error -1 reading relation 170294972
  36. Fri Aug 8 12:06:42 2025 error -1 reading relation 171001461
  37. Fri Aug 8 12:06:58 2025 error -1 reading relation 177686886
  38. Fri Aug 8 12:07:21 2025 error -1 reading relation 187652679
  39. Fri Aug 8 12:07:39 2025 error -1 reading relation 195998494
  40. Fri Aug 8 12:07:41 2025 error -1 reading relation 196619741
  41. Fri Aug 8 12:07:48 2025 error -1 reading relation 199934148
  42. Fri Aug 8 12:07:53 2025 error -1 reading relation 202391298
  43. Fri Aug 8 12:08:13 2025 error -15 reading relation 210898705
  44. Fri Aug 8 12:08:27 2025 error -1 reading relation 217489014
  45. Fri Aug 8 12:08:27 2025 error -1 reading relation 217619470
  46. Fri Aug 8 12:08:27 2025 error -15 reading relation 217631530
  47. Fri Aug 8 12:08:30 2025 error -1 reading relation 219133297
  48. Fri Aug 8 12:08:42 2025 error -1 reading relation 224781526
  49. Fri Aug 8 12:08:43 2025 error -1 reading relation 225051219
  50. Fri Aug 8 12:08:43 2025 error -1 reading relation 225052614
  51. Fri Aug 8 12:08:43 2025 error -1 reading relation 225053241
  52. Fri Aug 8 12:08:54 2025 error -1 reading relation 230142091
  53. Fri Aug 8 12:09:40 2025 error -1 reading relation 251139607
  54. Fri Aug 8 12:09:42 2025 error -1 reading relation 252159178
  55. Fri Aug 8 12:09:54 2025 error -1 reading relation 257006304
  56. Fri Aug 8 12:09:54 2025 error -1 reading relation 257299449
  57. Fri Aug 8 12:10:05 2025 skipped 1 relations with composite factors
  58. Fri Aug 8 12:10:05 2025 skipped 224 malformed relations
  59. Fri Aug 8 12:10:05 2025 found 51365505 hash collisions in 261875837 relations
  60. Fri Aug 8 12:10:34 2025 added 121552 free relations
  61. Fri Aug 8 12:10:34 2025 commencing duplicate removal, pass 2
  62. Fri Aug 8 12:16:20 2025 found 50640273 duplicates and 211357116 unique relations
  63. Fri Aug 8 12:16:20 2025 memory use: 1449.5 MB
  64. Fri Aug 8 12:16:20 2025 reading ideals above 720000
  65. Fri Aug 8 12:16:21 2025 commencing singleton removal, initial pass
  66. Fri Aug 8 12:37:54 2025 memory use: 5512.0 MB
  67. Fri Aug 8 12:37:55 2025 reading all ideals from disk
  68. Fri Aug 8 12:38:00 2025 memory use: 10068.6 MB
  69. Fri Aug 8 12:38:43 2025 keeping 181044544 ideals with weight <= 200, target excess is 1082708
  70. Fri Aug 8 12:39:35 2025 commencing in-memory singleton removal
  71. Fri Aug 8 12:39:41 2025 begin with 211357116 relations and 181044544 unique ideals
  72. Fri Aug 8 12:40:01 2025 reduce to 153656515 relations and 118646085 ideals in 12 passes
  73. Fri Aug 8 12:40:01 2025 max relations containing the same ideal: 171
  74. Fri Aug 8 12:41:00 2025 removing 9848205 relations and 7848205 ideals in 2000000 cliques
  75. Fri Aug 8 12:41:06 2025 commencing in-memory singleton removal
  76. Fri Aug 8 12:41:10 2025 begin with 143808310 relations and 118646085 unique ideals
  77. Fri Aug 8 12:41:19 2025 reduce to 143296044 relations and 110276926 ideals in 8 passes
  78. Fri Aug 8 12:41:19 2025 max relations containing the same ideal: 165
  79. Fri Aug 8 12:42:16 2025 removing 7603452 relations and 5603452 ideals in 2000000 cliques
  80. Fri Aug 8 12:42:20 2025 commencing in-memory singleton removal
  81. Fri Aug 8 12:42:22 2025 begin with 135692592 relations and 110276926 unique ideals
  82. Fri Aug 8 12:42:28 2025 reduce to 135346589 relations and 104322431 ideals in 7 passes
  83. Fri Aug 8 12:42:28 2025 max relations containing the same ideal: 158
  84. Fri Aug 8 12:43:38 2025 removing 6951772 relations and 4951772 ideals in 2000000 cliques
  85. Fri Aug 8 12:43:44 2025 commencing in-memory singleton removal
  86. Fri Aug 8 12:43:48 2025 begin with 128394817 relations and 104322431 unique ideals
  87. Fri Aug 8 12:43:55 2025 reduce to 128091344 relations and 99062587 ideals in 7 passes
  88. Fri Aug 8 12:43:55 2025 max relations containing the same ideal: 154
  89. Fri Aug 8 12:44:58 2025 removing 6617102 relations and 4617102 ideals in 2000000 cliques
  90. Fri Aug 8 12:45:05 2025 commencing in-memory singleton removal
  91. Fri Aug 8 12:45:07 2025 begin with 121474242 relations and 99062587 unique ideals
  92. Fri Aug 8 12:45:14 2025 reduce to 121191518 relations and 94158559 ideals in 6 passes
  93. Fri Aug 8 12:45:14 2025 max relations containing the same ideal: 147
  94. Fri Aug 8 12:46:05 2025 removing 6413598 relations and 4413598 ideals in 2000000 cliques
  95. Fri Aug 8 12:46:09 2025 commencing in-memory singleton removal
  96. Fri Aug 8 12:46:12 2025 begin with 114777920 relations and 94158559 unique ideals
  97. Fri Aug 8 12:46:17 2025 reduce to 114503393 relations and 89466164 ideals in 7 passes
  98. Fri Aug 8 12:46:17 2025 max relations containing the same ideal: 142
  99. Fri Aug 8 12:46:55 2025 removing 6283462 relations and 4283462 ideals in 2000000 cliques
  100. Fri Aug 8 12:46:59 2025 commencing in-memory singleton removal
  101. Fri Aug 8 12:47:01 2025 begin with 108219931 relations and 89466164 unique ideals
  102. Fri Aug 8 12:47:07 2025 reduce to 107946519 relations and 84904881 ideals in 7 passes
  103. Fri Aug 8 12:47:07 2025 max relations containing the same ideal: 136
  104. Fri Aug 8 12:47:45 2025 removing 6189503 relations and 4189503 ideals in 2000000 cliques
  105. Fri Aug 8 12:47:49 2025 commencing in-memory singleton removal
  106. Fri Aug 8 12:47:51 2025 begin with 101757016 relations and 84904881 unique ideals
  107. Fri Aug 8 12:47:55 2025 reduce to 101480186 relations and 80433872 ideals in 6 passes
  108. Fri Aug 8 12:47:55 2025 max relations containing the same ideal: 132
  109. Fri Aug 8 12:48:35 2025 removing 6132337 relations and 4132337 ideals in 2000000 cliques
  110. Fri Aug 8 12:48:39 2025 commencing in-memory singleton removal
  111. Fri Aug 8 12:48:41 2025 begin with 95347849 relations and 80433872 unique ideals
  112. Fri Aug 8 12:48:46 2025 reduce to 95061647 relations and 76010274 ideals in 6 passes
  113. Fri Aug 8 12:48:46 2025 max relations containing the same ideal: 126
  114. Fri Aug 8 12:49:45 2025 removing 6097850 relations and 4097850 ideals in 2000000 cliques
  115. Fri Aug 8 12:49:50 2025 commencing in-memory singleton removal
  116. Fri Aug 8 12:49:52 2025 begin with 88963797 relations and 76010274 unique ideals
  117. Fri Aug 8 12:49:57 2025 reduce to 88667391 relations and 71610569 ideals in 6 passes
  118. Fri Aug 8 12:49:57 2025 max relations containing the same ideal: 120
  119. Fri Aug 8 12:50:51 2025 removing 6084421 relations and 4084421 ideals in 2000000 cliques
  120. Fri Aug 8 12:50:56 2025 commencing in-memory singleton removal
  121. Fri Aug 8 12:50:57 2025 begin with 82582970 relations and 71610569 unique ideals
  122. Fri Aug 8 12:51:02 2025 reduce to 82267096 relations and 67203886 ideals in 7 passes
  123. Fri Aug 8 12:51:02 2025 max relations containing the same ideal: 114
  124. Fri Aug 8 12:51:44 2025 removing 6090028 relations and 4090028 ideals in 2000000 cliques
  125. Fri Aug 8 12:51:47 2025 commencing in-memory singleton removal
  126. Fri Aug 8 12:51:49 2025 begin with 76177068 relations and 67203886 unique ideals
  127. Fri Aug 8 12:51:53 2025 reduce to 75837890 relations and 62767282 ideals in 7 passes
  128. Fri Aug 8 12:51:53 2025 max relations containing the same ideal: 110
  129. Fri Aug 8 12:52:35 2025 removing 6114827 relations and 4114827 ideals in 2000000 cliques
  130. Fri Aug 8 12:52:39 2025 commencing in-memory singleton removal
  131. Fri Aug 8 12:52:40 2025 begin with 69723063 relations and 62767282 unique ideals
  132. Fri Aug 8 12:52:44 2025 reduce to 69352522 relations and 58273340 ideals in 7 passes
  133. Fri Aug 8 12:52:44 2025 max relations containing the same ideal: 103
  134. Fri Aug 8 12:53:17 2025 removing 6168526 relations and 4168526 ideals in 2000000 cliques
  135. Fri Aug 8 12:53:20 2025 commencing in-memory singleton removal
  136. Fri Aug 8 12:53:21 2025 begin with 63183996 relations and 58273340 unique ideals
  137. Fri Aug 8 12:53:25 2025 reduce to 62771387 relations and 53681849 ideals in 7 passes
  138. Fri Aug 8 12:53:25 2025 max relations containing the same ideal: 97
  139. Fri Aug 8 12:53:55 2025 removing 6243192 relations and 4243192 ideals in 2000000 cliques
  140. Fri Aug 8 12:53:58 2025 commencing in-memory singleton removal
  141. Fri Aug 8 12:53:59 2025 begin with 56528195 relations and 53681849 unique ideals
  142. Fri Aug 8 12:54:03 2025 reduce to 56054266 relations and 48951627 ideals in 8 passes
  143. Fri Aug 8 12:54:03 2025 max relations containing the same ideal: 89
  144. Fri Aug 8 12:54:29 2025 removing 6357210 relations and 4357210 ideals in 2000000 cliques
  145. Fri Aug 8 12:54:32 2025 commencing in-memory singleton removal
  146. Fri Aug 8 12:54:33 2025 begin with 49697056 relations and 48951627 unique ideals
  147. Fri Aug 8 12:54:36 2025 reduce to 49138245 relations and 44018456 ideals in 7 passes
  148. Fri Aug 8 12:54:36 2025 max relations containing the same ideal: 83
  149. Fri Aug 8 12:55:04 2025 removing 6518558 relations and 4518558 ideals in 2000000 cliques
  150. Fri Aug 8 12:55:06 2025 commencing in-memory singleton removal
  151. Fri Aug 8 12:55:07 2025 begin with 42619687 relations and 44018456 unique ideals
  152. Fri Aug 8 12:55:10 2025 reduce to 41929357 relations and 38785929 ideals in 9 passes
  153. Fri Aug 8 12:55:10 2025 max relations containing the same ideal: 75
  154. Fri Aug 8 12:55:33 2025 removing 6438296 relations and 4550810 ideals in 1887486 cliques
  155. Fri Aug 8 12:55:35 2025 commencing in-memory singleton removal
  156. Fri Aug 8 12:55:36 2025 begin with 35491061 relations and 38785929 unique ideals
  157. Fri Aug 8 12:55:38 2025 reduce to 34668009 relations and 33380313 ideals in 8 passes
  158. Fri Aug 8 12:55:38 2025 max relations containing the same ideal: 65
  159. Fri Aug 8 12:55:57 2025 removing 240996 relations and 209242 ideals in 31754 cliques
  160. Fri Aug 8 12:55:58 2025 commencing in-memory singleton removal
  161. Fri Aug 8 12:55:59 2025 begin with 34427013 relations and 33380313 unique ideals
  162. Fri Aug 8 12:56:00 2025 reduce to 34425794 relations and 33169851 ideals in 6 passes
  163. Fri Aug 8 12:56:00 2025 max relations containing the same ideal: 64
  164. Fri Aug 8 12:56:05 2025 relations with 0 large ideals: 3578
  165. Fri Aug 8 12:56:05 2025 relations with 1 large ideals: 23299
  166. Fri Aug 8 12:56:05 2025 relations with 2 large ideals: 305694
  167. Fri Aug 8 12:56:05 2025 relations with 3 large ideals: 1698797
  168. Fri Aug 8 12:56:05 2025 relations with 4 large ideals: 5023481
  169. Fri Aug 8 12:56:05 2025 relations with 5 large ideals: 8721895
  170. Fri Aug 8 12:56:05 2025 relations with 6 large ideals: 9335916
  171. Fri Aug 8 12:56:05 2025 relations with 7+ large ideals: 9313134
  172. Fri Aug 8 12:56:05 2025 commencing 2-way merge
  173. Fri Aug 8 12:56:31 2025 reduce to 21717207 relation sets and 20461264 unique ideals
  174. Fri Aug 8 12:56:31 2025 commencing full merge
  175. Fri Aug 8 13:07:12 2025 memory use: 2484.3 MB
  176. Fri Aug 8 13:07:14 2025 found 9322888 cycles, need 9265464
  177. Fri Aug 8 13:07:18 2025 weight of 9265464 cycles is about 1204591913 (130.01/cycle)
  178. Fri Aug 8 13:07:18 2025 distribution of cycle lengths:
  179. Fri Aug 8 13:07:18 2025 1 relations: 560717
  180. Fri Aug 8 13:07:18 2025 2 relations: 558676
  181. Fri Aug 8 13:07:18 2025 3 relations: 598451
  182. Fri Aug 8 13:07:18 2025 4 relations: 610853
  183. Fri Aug 8 13:07:18 2025 5 relations: 626609
  184. Fri Aug 8 13:07:18 2025 6 relations: 631940
  185. Fri Aug 8 13:07:18 2025 7 relations: 628534
  186. Fri Aug 8 13:07:18 2025 8 relations: 606984
  187. Fri Aug 8 13:07:18 2025 9 relations: 575149
  188. Fri Aug 8 13:07:18 2025 10+ relations: 3867551
  189. Fri Aug 8 13:07:18 2025 heaviest cycle: 28 relations
  190. Fri Aug 8 13:07:22 2025 commencing cycle optimization
  191. Fri Aug 8 13:07:48 2025 start with 84140292 relations
  192. Fri Aug 8 13:11:56 2025 pruned 4044965 relations
  193. Fri Aug 8 13:11:56 2025 memory use: 2256.7 MB
  194. Fri Aug 8 13:11:56 2025 distribution of cycle lengths:
  195. Fri Aug 8 13:11:56 2025 1 relations: 560717
  196. Fri Aug 8 13:11:56 2025 2 relations: 574233
  197. Fri Aug 8 13:11:56 2025 3 relations: 624665
  198. Fri Aug 8 13:11:56 2025 4 relations: 637169
  199. Fri Aug 8 13:11:56 2025 5 relations: 659622
  200. Fri Aug 8 13:11:56 2025 6 relations: 665211
  201. Fri Aug 8 13:11:56 2025 7 relations: 664130
  202. Fri Aug 8 13:11:56 2025 8 relations: 639519
  203. Fri Aug 8 13:11:56 2025 9 relations: 605916
  204. Fri Aug 8 13:11:56 2025 10+ relations: 3634282
  205. Fri Aug 8 13:11:56 2025 heaviest cycle: 28 relations
  206. Fri Aug 8 13:12:18 2025 RelProcTime: 4321
  207. Fri Aug 8 13:12:18 2025
  208. Fri Aug 8 13:12:18 2025 commencing linear algebra
  209. Fri Aug 8 13:12:18 2025 using VBITS=256
  210. Fri Aug 8 13:12:18 2025 stopping after matrix build
  211. Fri Aug 8 13:12:18 2025 initialized process (0,0) of 1 x 1 grid
  212. Fri Aug 8 13:12:19 2025 read 9265464 cycles
  213. Fri Aug 8 13:12:40 2025 cycles contain 33663678 unique relations
  214. Fri Aug 8 13:16:44 2025 read 33663678 relations
  215. Fri Aug 8 13:16:49 2025 using 20 quadratic characters above 4294917295
  216. Fri Aug 8 13:16:54 2025 building initial matrix
  217. Fri Aug 8 13:25:54 2025 memory use: 4620.8 MB
  218. Fri Aug 8 13:26:05 2025 read 9265464 cycles
  219. Fri Aug 8 13:26:08 2025 matrix is 9265287 x 9265464 (4621.8 MB) with weight 1399541205 (151.05/col)
  220. Fri Aug 8 13:26:08 2025 sparse part has weight 1109647636 (119.76/col)
  221. Fri Aug 8 13:29:46 2025 filtering completed in 2 passes
  222. Fri Aug 8 13:29:49 2025 matrix is 9264813 x 9264988 (4621.7 MB) with weight 1399515219 (151.05/col)
  223. Fri Aug 8 13:29:49 2025 sparse part has weight 1109637712 (119.77/col)
  224. Fri Aug 8 13:30:53 2025 BLanczosTime: 1115
  225. Fri Aug 8 13:30:53 2025 elapsed time 01:30:37
  226. Fri Aug 8 18:27:14 2025
  227. Fri Aug 8 18:27:14 2025
  228. Fri Aug 8 18:27:14 2025 Msieve v. 1.54 (SVN Unversioned directory)
  229. Fri Aug 8 18:27:14 2025 random seeds: ba39f244 0bcac735
  230. Fri Aug 8 18:27:14 2025 MPI process 0 of 1
  231. Fri Aug 8 18:27:14 2025 Using 64 OpenMP threads
  232. Fri Aug 8 18:27:14 2025 factoring 55060819606144985331371350017116008744643992013232357555488822817880688295693678685683571692083958555930821030404202471744970185733786535035183369255267903908396717212859233 (173 digits)
  233. Fri Aug 8 18:27:14 2025 searching for 15-digit factors
  234. Fri Aug 8 18:27:15 2025 commencing number field sieve (173-digit input)
  235. Fri Aug 8 18:27:15 2025 R0: -2236788673686356786184578863421195
  236. Fri Aug 8 18:27:15 2025 R1: 9903680989089455593921837
  237. Fri Aug 8 18:27:15 2025 A0: 142711107738312298156791351965459809200
  238. Fri Aug 8 18:27:15 2025 A1: 8955880779291325038247879938577174
  239. Fri Aug 8 18:27:15 2025 A2: -3687900598273333854710802789
  240. Fri Aug 8 18:27:15 2025 A3: -1419002219012567133573
  241. Fri Aug 8 18:27:15 2025 A4: 115311261011300
  242. Fri Aug 8 18:27:15 2025 A5: 9351300
  243. Fri Aug 8 18:27:15 2025 skew 5240393.46, size 7.077e-17, alpha -7.183, combined = 2.372e-13 rroots = 5
  244. Fri Aug 8 18:27:15 2025
  245. Fri Aug 8 18:27:15 2025 commencing linear algebra
  246. Fri Aug 8 18:27:15 2025 using VBITS=256
  247. Fri Aug 8 18:27:15 2025 skipping matrix build
  248. Fri Aug 8 18:27:15 2025 initialized process (0,0) of 1 x 1 grid
  249. Fri Aug 8 18:27:20 2025 matrix starts at (0, 0)
  250. Fri Aug 8 18:27:21 2025 matrix is 9264813 x 9264988 (4621.7 MB) with weight 1399515219 (151.05/col)
  251. Fri Aug 8 18:27:21 2025 sparse part has weight 1109637712 (119.77/col)
  252. Fri Aug 8 18:27:21 2025 saving the first 240 matrix rows for later
  253. Fri Aug 8 18:27:23 2025 matrix includes 256 packed rows
  254. Fri Aug 8 18:27:26 2025 matrix is 9264573 x 9264988 (4192.0 MB) with weight 1011182579 (109.14/col)
  255. Fri Aug 8 18:27:26 2025 sparse part has weight 950667443 (102.61/col)
  256. Fri Aug 8 18:27:26 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  257. Fri Aug 8 18:27:46 2025 commencing Lanczos iteration (64 threads)
  258. Fri Aug 8 18:27:46 2025 memory use: 5935.9 MB
  259. Fri Aug 8 18:29:06 2025 linear algebra at 0.3%, ETA 6h31m
  260. Fri Aug 8 18:31:04 2025 checking every 20000 dimensions, checkpointing every 1420000 dimensions
  261. Sat Aug 9 00:59:10 2025 lanczos halted after 36300 iterations (dim = 9264573)
  262. Sat Aug 9 00:59:41 2025 recovered 30 nontrivial dependencies
  263. Sat Aug 9 00:59:41 2025 BLanczosTime: 23546
  264. Sat Aug 9 00:59:41 2025
  265. Sat Aug 9 00:59:41 2025 commencing square root phase
  266. Sat Aug 9 00:59:41 2025 handling dependencies 1 to 64
  267. Sat Aug 9 00:59:41 2025 reading relations for dependency 1
  268. Sat Aug 9 00:59:42 2025 read 4630703 cycles
  269. Sat Aug 9 00:59:50 2025 cycles contain 16829448 unique relations
  270. Sat Aug 9 01:03:32 2025 read 16829448 relations
  271. Sat Aug 9 01:05:08 2025 multiplying 16829448 relations
  272. Sat Aug 9 01:07:39 2025 multiply complete, coefficients have about 1024.00 million bits
  273. Sat Aug 9 01:07:43 2025 initial square root is modulo 1537449659
  274. Sat Aug 9 01:16:31 2025 sqrtTime: 1010
  275. Sat Aug 9 01:16:31 2025 p70 factor: 7256352166898208059601240483563159064498804976055833670915684399007401
  276. Sat Aug 9 01:16:31 2025 p103 factor: 7587947544403873643411086493970641202312005573701317307612002315693378463091711015987578988726894615033
  277. Sat Aug 9 01:16:31 2025 elapsed time 06:49:17
  278.  
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