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Feb 3rd, 2025
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  1. Fri Jan 31 09:45:35 2025 Msieve v. 1.53 (SVN 988M)
  2. Fri Jan 31 09:45:35 2025 random seeds: 5ee34b04 fbc12782
  3. Fri Jan 31 09:45:35 2025 factoring 7676509785133271475881220259203532098291341142834026948580593958675541790385755006462809085123377257293202198860221027689105499445880261986808365096953099162494541229168688048173799871974491047002401371 (202 digits)
  4. Fri Jan 31 09:45:36 2025 searching for 15-digit factors
  5. Fri Jan 31 09:45:37 2025 commencing number field sieve (202-digit input)
  6. Fri Jan 31 09:45:37 2025 R0: -1
  7. Fri Jan 31 09:45:37 2025 R1: 1217651850736469968639487089829051877439806106561
  8. Fri Jan 31 09:45:37 2025 A0: -1024921
  9. Fri Jan 31 09:45:37 2025 A1: 0
  10. Fri Jan 31 09:45:37 2025 A2: 0
  11. Fri Jan 31 09:45:37 2025 A3: 0
  12. Fri Jan 31 09:45:37 2025 A4: 0
  13. Fri Jan 31 09:45:37 2025 A5: 1
  14. Fri Jan 31 09:45:37 2025 skew 1.00, size 2.679e-17, alpha -0.183, combined = 8.032e-14 rroots = 1
  15. Fri Jan 31 09:45:37 2025
  16. Fri Jan 31 09:45:37 2025 commencing relation filtering
  17. Fri Jan 31 09:45:37 2025 setting target matrix density to 120.0
  18. Fri Jan 31 09:45:37 2025 estimated available RAM is 32768.0 MB
  19. Fri Jan 31 09:45:37 2025 commencing duplicate removal, pass 1
  20. Fri Jan 31 09:54:06 2025 error -11 reading relation 88458351
  21. Fri Jan 31 09:55:16 2025 error -15 reading relation 100558735
  22. Fri Jan 31 10:04:40 2025 error -1 reading relation 198322331
  23. Fri Jan 31 10:04:41 2025 error -11 reading relation 198586265
  24. Fri Jan 31 10:07:11 2025 error -15 reading relation 224664591
  25. Fri Jan 31 10:13:09 2025 error -15 reading relation 286643600
  26. Fri Jan 31 10:20:01 2025 skipped 47 relations with b > 2^32
  27. Fri Jan 31 10:20:01 2025 found 26747956 hash collisions in 357798556 relations
  28. Fri Jan 31 10:20:22 2025 added 730370 free relations
  29. Fri Jan 31 10:20:22 2025 commencing duplicate removal, pass 2
  30. Fri Jan 31 10:22:07 2025 found 0 duplicates and 358528926 unique relations
  31. Fri Jan 31 10:22:07 2025 memory use: 1257.5 MB
  32. Fri Jan 31 10:22:07 2025 reading ideals above 144637952
  33. Fri Jan 31 10:22:07 2025 commencing singleton removal, initial pass
  34. Fri Jan 31 10:48:06 2025 memory use: 6024.0 MB
  35. Fri Jan 31 10:48:06 2025 reading all ideals from disk
  36. Fri Jan 31 10:48:11 2025 memory use: 6936.5 MB
  37. Fri Jan 31 10:48:25 2025 commencing in-memory singleton removal
  38. Fri Jan 31 10:48:38 2025 begin with 358528926 relations and 318110988 unique ideals
  39. Fri Jan 31 10:51:30 2025 reduce to 222628747 relations and 167328279 ideals in 16 passes
  40. Fri Jan 31 10:51:30 2025 max relations containing the same ideal: 36
  41. Fri Jan 31 10:51:47 2025 reading ideals above 720000
  42. Fri Jan 31 10:51:48 2025 commencing singleton removal, initial pass
  43. Fri Jan 31 11:13:05 2025 memory use: 5512.0 MB
  44. Fri Jan 31 11:13:05 2025 reading all ideals from disk
  45. Fri Jan 31 11:13:11 2025 memory use: 9039.8 MB
  46. Fri Jan 31 11:13:30 2025 keeping 182517263 ideals with weight <= 200, target excess is 1123824
  47. Fri Jan 31 11:13:52 2025 commencing in-memory singleton removal
  48. Fri Jan 31 11:14:07 2025 begin with 222628747 relations and 182517263 unique ideals
  49. Fri Jan 31 11:15:11 2025 reduce to 222628606 relations and 182517122 ideals in 4 passes
  50. Fri Jan 31 11:15:11 2025 max relations containing the same ideal: 200
  51. Fri Jan 31 11:16:33 2025 removing 13838469 relations and 11838469 ideals in 2000000 cliques
  52. Fri Jan 31 11:16:38 2025 commencing in-memory singleton removal
  53. Fri Jan 31 11:16:52 2025 begin with 208790137 relations and 182517122 unique ideals
  54. Fri Jan 31 11:19:07 2025 reduce to 208100820 relations and 169980711 ideals in 9 passes
  55. Fri Jan 31 11:19:07 2025 max relations containing the same ideal: 198
  56. Fri Jan 31 11:20:24 2025 removing 10365666 relations and 8365666 ideals in 2000000 cliques
  57. Fri Jan 31 11:20:28 2025 commencing in-memory singleton removal
  58. Fri Jan 31 11:20:41 2025 begin with 197735154 relations and 169980711 unique ideals
  59. Fri Jan 31 11:22:34 2025 reduce to 197302328 relations and 161177605 ideals in 8 passes
  60. Fri Jan 31 11:22:34 2025 max relations containing the same ideal: 195
  61. Fri Jan 31 11:23:48 2025 removing 9275330 relations and 7275330 ideals in 2000000 cliques
  62. Fri Jan 31 11:23:51 2025 commencing in-memory singleton removal
  63. Fri Jan 31 11:24:04 2025 begin with 188026998 relations and 161177605 unique ideals
  64. Fri Jan 31 11:25:37 2025 reduce to 187658428 relations and 153529913 ideals in 7 passes
  65. Fri Jan 31 11:25:37 2025 max relations containing the same ideal: 189
  66. Fri Jan 31 11:26:48 2025 removing 8684682 relations and 6684682 ideals in 2000000 cliques
  67. Fri Jan 31 11:26:51 2025 commencing in-memory singleton removal
  68. Fri Jan 31 11:27:03 2025 begin with 178973746 relations and 153529913 unique ideals
  69. Fri Jan 31 11:28:32 2025 reduce to 178634282 relations and 146502244 ideals in 7 passes
  70. Fri Jan 31 11:28:32 2025 max relations containing the same ideal: 186
  71. Fri Jan 31 11:29:38 2025 removing 8306072 relations and 6306072 ideals in 2000000 cliques
  72. Fri Jan 31 11:29:42 2025 commencing in-memory singleton removal
  73. Fri Jan 31 11:29:53 2025 begin with 170328210 relations and 146502244 unique ideals
  74. Fri Jan 31 11:31:18 2025 reduce to 170004825 relations and 139869327 ideals in 7 passes
  75. Fri Jan 31 11:31:18 2025 max relations containing the same ideal: 181
  76. Fri Jan 31 11:32:22 2025 removing 8037076 relations and 6037076 ideals in 2000000 cliques
  77. Fri Jan 31 11:32:25 2025 commencing in-memory singleton removal
  78. Fri Jan 31 11:32:35 2025 begin with 161967749 relations and 139869327 unique ideals
  79. Fri Jan 31 11:34:07 2025 reduce to 161650170 relations and 133511246 ideals in 8 passes
  80. Fri Jan 31 11:34:07 2025 max relations containing the same ideal: 173
  81. Fri Jan 31 11:35:08 2025 removing 7842793 relations and 5842793 ideals in 2000000 cliques
  82. Fri Jan 31 11:35:11 2025 commencing in-memory singleton removal
  83. Fri Jan 31 11:35:21 2025 begin with 153807377 relations and 133511246 unique ideals
  84. Fri Jan 31 11:36:37 2025 reduce to 153493521 relations and 127350989 ideals in 7 passes
  85. Fri Jan 31 11:36:37 2025 max relations containing the same ideal: 169
  86. Fri Jan 31 11:37:35 2025 removing 7697784 relations and 5697784 ideals in 2000000 cliques
  87. Fri Jan 31 11:37:37 2025 commencing in-memory singleton removal
  88. Fri Jan 31 11:37:47 2025 begin with 145795737 relations and 127350989 unique ideals
  89. Fri Jan 31 11:39:08 2025 reduce to 145479532 relations and 121333152 ideals in 8 passes
  90. Fri Jan 31 11:39:08 2025 max relations containing the same ideal: 163
  91. Fri Jan 31 11:40:04 2025 removing 7598505 relations and 5598505 ideals in 2000000 cliques
  92. Fri Jan 31 11:40:07 2025 commencing in-memory singleton removal
  93. Fri Jan 31 11:40:15 2025 begin with 137881027 relations and 121333152 unique ideals
  94. Fri Jan 31 11:41:23 2025 reduce to 137558694 relations and 115408249 ideals in 7 passes
  95. Fri Jan 31 11:41:23 2025 max relations containing the same ideal: 158
  96. Fri Jan 31 11:42:15 2025 removing 7518861 relations and 5518861 ideals in 2000000 cliques
  97. Fri Jan 31 11:42:18 2025 commencing in-memory singleton removal
  98. Fri Jan 31 11:42:26 2025 begin with 130039833 relations and 115408249 unique ideals
  99. Fri Jan 31 11:43:29 2025 reduce to 129709359 relations and 109554470 ideals in 7 passes
  100. Fri Jan 31 11:43:29 2025 max relations containing the same ideal: 151
  101. Fri Jan 31 11:44:18 2025 removing 7466044 relations and 5466044 ideals in 2000000 cliques
  102. Fri Jan 31 11:44:21 2025 commencing in-memory singleton removal
  103. Fri Jan 31 11:44:28 2025 begin with 122243315 relations and 109554470 unique ideals
  104. Fri Jan 31 11:45:27 2025 reduce to 121899486 relations and 103739864 ideals in 7 passes
  105. Fri Jan 31 11:45:27 2025 max relations containing the same ideal: 147
  106. Fri Jan 31 11:46:14 2025 removing 7436080 relations and 5436080 ideals in 2000000 cliques
  107. Fri Jan 31 11:46:16 2025 commencing in-memory singleton removal
  108. Fri Jan 31 11:46:24 2025 begin with 114463406 relations and 103739864 unique ideals
  109. Fri Jan 31 11:47:19 2025 reduce to 114101749 relations and 97936854 ideals in 7 passes
  110. Fri Jan 31 11:47:19 2025 max relations containing the same ideal: 142
  111. Fri Jan 31 11:48:03 2025 removing 7428241 relations and 5428241 ideals in 2000000 cliques
  112. Fri Jan 31 11:48:05 2025 commencing in-memory singleton removal
  113. Fri Jan 31 11:48:12 2025 begin with 106673508 relations and 97936854 unique ideals
  114. Fri Jan 31 11:49:03 2025 reduce to 106290544 relations and 92119794 ideals in 7 passes
  115. Fri Jan 31 11:49:03 2025 max relations containing the same ideal: 133
  116. Fri Jan 31 11:49:44 2025 removing 7436148 relations and 5436148 ideals in 2000000 cliques
  117. Fri Jan 31 11:49:46 2025 commencing in-memory singleton removal
  118. Fri Jan 31 11:49:52 2025 begin with 98854396 relations and 92119794 unique ideals
  119. Fri Jan 31 11:50:46 2025 reduce to 98443010 relations and 86265427 ideals in 8 passes
  120. Fri Jan 31 11:50:46 2025 max relations containing the same ideal: 124
  121. Fri Jan 31 11:51:24 2025 removing 7462262 relations and 5462262 ideals in 2000000 cliques
  122. Fri Jan 31 11:51:27 2025 commencing in-memory singleton removal
  123. Fri Jan 31 11:51:32 2025 begin with 90980748 relations and 86265427 unique ideals
  124. Fri Jan 31 11:52:15 2025 reduce to 90532533 relations and 80347041 ideals in 7 passes
  125. Fri Jan 31 11:52:15 2025 max relations containing the same ideal: 116
  126. Fri Jan 31 11:52:51 2025 removing 7518300 relations and 5518300 ideals in 2000000 cliques
  127. Fri Jan 31 11:52:53 2025 commencing in-memory singleton removal
  128. Fri Jan 31 11:52:58 2025 begin with 83014233 relations and 80347041 unique ideals
  129. Fri Jan 31 11:53:42 2025 reduce to 82517783 relations and 74322951 ideals in 8 passes
  130. Fri Jan 31 11:53:42 2025 max relations containing the same ideal: 111
  131. Fri Jan 31 11:54:15 2025 removing 7600084 relations and 5600084 ideals in 2000000 cliques
  132. Fri Jan 31 11:54:16 2025 commencing in-memory singleton removal
  133. Fri Jan 31 11:54:21 2025 begin with 74917699 relations and 74322951 unique ideals
  134. Fri Jan 31 11:55:00 2025 reduce to 74355388 relations and 68148861 ideals in 8 passes
  135. Fri Jan 31 11:55:00 2025 max relations containing the same ideal: 105
  136. Fri Jan 31 11:55:30 2025 removing 7721272 relations and 5721272 ideals in 2000000 cliques
  137. Fri Jan 31 11:55:32 2025 commencing in-memory singleton removal
  138. Fri Jan 31 11:55:36 2025 begin with 66634116 relations and 68148861 unique ideals
  139. Fri Jan 31 11:56:19 2025 reduce to 65979666 relations and 61758210 ideals in 10 passes
  140. Fri Jan 31 11:56:19 2025 max relations containing the same ideal: 94
  141. Fri Jan 31 11:56:46 2025 removing 7892393 relations and 5892393 ideals in 2000000 cliques
  142. Fri Jan 31 11:56:48 2025 commencing in-memory singleton removal
  143. Fri Jan 31 11:56:51 2025 begin with 58087273 relations and 61758210 unique ideals
  144. Fri Jan 31 11:57:32 2025 reduce to 57297734 relations and 55055988 ideals in 11 passes
  145. Fri Jan 31 11:57:32 2025 max relations containing the same ideal: 87
  146. Fri Jan 31 11:57:55 2025 removing 4516894 relations and 3578784 ideals in 938110 cliques
  147. Fri Jan 31 11:57:56 2025 commencing in-memory singleton removal
  148. Fri Jan 31 11:57:59 2025 begin with 52780840 relations and 55055988 unique ideals
  149. Fri Jan 31 11:58:23 2025 reduce to 52499223 relations and 51191639 ideals in 7 passes
  150. Fri Jan 31 11:58:23 2025 max relations containing the same ideal: 80
  151. Fri Jan 31 11:58:49 2025 relations with 0 large ideals: 23387
  152. Fri Jan 31 11:58:49 2025 relations with 1 large ideals: 16182
  153. Fri Jan 31 11:58:49 2025 relations with 2 large ideals: 244013
  154. Fri Jan 31 11:58:49 2025 relations with 3 large ideals: 1586897
  155. Fri Jan 31 11:58:49 2025 relations with 4 large ideals: 5541194
  156. Fri Jan 31 11:58:49 2025 relations with 5 large ideals: 11416955
  157. Fri Jan 31 11:58:49 2025 relations with 6 large ideals: 14896298
  158. Fri Jan 31 11:58:49 2025 relations with 7+ large ideals: 18774297
  159. Fri Jan 31 11:58:49 2025 commencing 2-way merge
  160. Fri Jan 31 11:59:17 2025 reduce to 31904371 relation sets and 30596787 unique ideals
  161. Fri Jan 31 11:59:17 2025 commencing full merge
  162. Fri Jan 31 12:07:55 2025 memory use: 3652.5 MB
  163. Fri Jan 31 12:07:59 2025 found 13915899 cycles, need 13846987
  164. Fri Jan 31 12:08:00 2025 weight of 13846987 cycles is about 1662296024 (120.05/cycle)
  165. Fri Jan 31 12:08:00 2025 distribution of cycle lengths:
  166. Fri Jan 31 12:08:00 2025 1 relations: 1044561
  167. Fri Jan 31 12:08:00 2025 2 relations: 905930
  168. Fri Jan 31 12:08:00 2025 3 relations: 933207
  169. Fri Jan 31 12:08:00 2025 4 relations: 934356
  170. Fri Jan 31 12:08:00 2025 5 relations: 950946
  171. Fri Jan 31 12:08:00 2025 6 relations: 940541
  172. Fri Jan 31 12:08:00 2025 7 relations: 920137
  173. Fri Jan 31 12:08:00 2025 8 relations: 887358
  174. Fri Jan 31 12:08:00 2025 9 relations: 845317
  175. Fri Jan 31 12:08:00 2025 10+ relations: 5484634
  176. Fri Jan 31 12:08:00 2025 heaviest cycle: 28 relations
  177. Fri Jan 31 12:08:04 2025 commencing cycle optimization
  178. Fri Jan 31 12:08:28 2025 start with 120484451 relations
  179. Fri Jan 31 12:12:37 2025 pruned 4733295 relations
  180. Fri Jan 31 12:12:37 2025 memory use: 3366.9 MB
  181. Fri Jan 31 12:12:37 2025 distribution of cycle lengths:
  182. Fri Jan 31 12:12:37 2025 1 relations: 1044561
  183. Fri Jan 31 12:12:37 2025 2 relations: 927790
  184. Fri Jan 31 12:12:37 2025 3 relations: 968043
  185. Fri Jan 31 12:12:37 2025 4 relations: 968051
  186. Fri Jan 31 12:12:37 2025 5 relations: 991166
  187. Fri Jan 31 12:12:37 2025 6 relations: 978757
  188. Fri Jan 31 12:12:37 2025 7 relations: 960447
  189. Fri Jan 31 12:12:37 2025 8 relations: 923858
  190. Fri Jan 31 12:12:37 2025 9 relations: 878266
  191. Fri Jan 31 12:12:37 2025 10+ relations: 5206048
  192. Fri Jan 31 12:12:37 2025 heaviest cycle: 28 relations
  193. Fri Jan 31 12:12:49 2025 RelProcTime: 8832
  194. Fri Jan 31 12:12:49 2025
  195. Fri Jan 31 12:12:49 2025 commencing linear algebra
  196. Fri Jan 31 12:12:50 2025 read 13846987 cycles
  197. Fri Jan 31 12:13:22 2025 cycles contain 51595536 unique relations
  198. Fri Jan 31 12:16:40 2025 read 51595536 relations
  199. Fri Jan 31 12:18:24 2025 using 20 quadratic characters above 4294917295
  200. Fri Jan 31 12:21:15 2025 building initial matrix
  201. Fri Jan 31 12:29:17 2025 memory use: 6741.7 MB
  202. Fri Jan 31 12:29:28 2025 read 13846987 cycles
  203. Fri Jan 31 12:29:30 2025 matrix is 13846810 x 13846987 (6521.4 MB) with weight 1918069106 (138.52/col)
  204. Fri Jan 31 12:29:30 2025 sparse part has weight 1557240275 (112.46/col)
  205. Fri Jan 31 12:32:19 2025 filtering completed in 2 passes
  206. Fri Jan 31 12:32:21 2025 matrix is 13845885 x 13846062 (6521.4 MB) with weight 1918031374 (138.53/col)
  207. Fri Jan 31 12:32:21 2025 sparse part has weight 1557227469 (112.47/col)
  208. Fri Jan 31 12:33:02 2025 matrix starts at (0, 0)
  209. Fri Jan 31 12:33:03 2025 matrix is 13845885 x 13846062 (6521.4 MB) with weight 1918031374 (138.53/col)
  210. Fri Jan 31 12:33:03 2025 sparse part has weight 1557227469 (112.47/col)
  211. Fri Jan 31 12:33:03 2025 saving the first 48 matrix rows for later
  212. Fri Jan 31 12:33:05 2025 matrix includes 64 packed rows
  213. Fri Jan 31 12:33:07 2025 matrix is 13845837 x 13846062 (6302.8 MB) with weight 1644016281 (118.74/col)
  214. Fri Jan 31 12:33:07 2025 sparse part has weight 1513771029 (109.33/col)
  215. Fri Jan 31 12:33:07 2025 using block size 8192 and superblock size 1351680 for processor cache size 14080 kB
  216. Fri Jan 31 12:34:23 2025 commencing Lanczos iteration (10 threads)
  217. Fri Jan 31 12:34:23 2025 memory use: 5374.9 MB
  218. Fri Jan 31 12:34:48 2025 linear algebra at 0.0%, ETA 61h 0m
  219. Fri Jan 31 12:34:56 2025 checkpointing every 230000 dimensions
  220. Mon Feb 3 01:57:09 2025 lanczos halted after 218943 iterations (dim = 13845837)
  221. Mon Feb 3 01:57:20 2025 recovered 36 nontrivial dependencies
  222. Mon Feb 3 01:57:28 2025 BLanczosTime: 222279
  223. Mon Feb 3 01:57:28 2025
  224. Mon Feb 3 01:57:28 2025 commencing square root phase
  225. Mon Feb 3 01:57:28 2025 handling dependencies 1 to 64
  226. Mon Feb 3 01:57:28 2025 reading relations for dependency 1
  227. Mon Feb 3 01:57:30 2025 read 6923190 cycles
  228. Mon Feb 3 01:57:44 2025 cycles contain 25797864 unique relations
  229. Mon Feb 3 01:59:34 2025 read 25797864 relations
  230. Mon Feb 3 02:01:18 2025 multiplying 25797864 relations
  231. Mon Feb 3 02:13:03 2025 multiply complete, coefficients have about 719.88 million bits
  232. Mon Feb 3 02:13:05 2025 initial square root is modulo 2873371
  233. Mon Feb 3 02:29:27 2025 sqrtTime: 1919
  234. Mon Feb 3 02:29:27 2025 p51 factor: 348163147329275067341032441958691489943013920635577
  235. Mon Feb 3 02:29:27 2025 p152 factor: 22048599468436035825286507015425353968260726784352902137192574165436418908014808454585063714841378475744060066023197383844744807852682261175217907430323
  236. Mon Feb 3 02:29:27 2025 elapsed time 64:43:52
  237.  
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