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May 6th, 2025
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  1. Tue May 6 00:13:18 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Tue May 6 00:13:18 2025 random seeds: 67086a58 a71868df
  3. Tue May 6 00:13:18 2025 Using 16 OpenMP threads
  4. Tue May 6 00:13:18 2025 factoring 2302318555657048987900025439922914738757505095267152919038656944870668040043613852494394766306521299089665537311676452635829262292680237116144685389392446486534996105264790492121 (178 digits)
  5. Tue May 6 00:13:18 2025 no P-1/P+1/ECM available, skipping
  6. Tue May 6 00:13:18 2025 commencing number field sieve (178-digit input)
  7. Tue May 6 00:13:18 2025 R0: -15284900599398104385530261232033889
  8. Tue May 6 00:13:18 2025 R1: 20141635512003577187
  9. Tue May 6 00:13:18 2025 A0: -3130220367140467431528536639013254039486880
  10. Tue May 6 00:13:18 2025 A1: 1360403776885664158120383116858653016
  11. Tue May 6 00:13:18 2025 A2: -58354172233200187065223244287
  12. Tue May 6 00:13:18 2025 A3: -13860513624035927408566
  13. Tue May 6 00:13:18 2025 A4: -537154440231108
  14. Tue May 6 00:13:18 2025 A5: 2759640
  15. Tue May 6 00:13:18 2025 skew 19046035.14, size 2.071e-17, alpha -7.876, combined = 1.081e-13 rroots = 3
  16. Tue May 6 00:13:18 2025
  17. Tue May 6 00:13:18 2025 commencing relation filtering
  18. Tue May 6 00:13:18 2025 setting target matrix density to 110.0
  19. Tue May 6 00:13:18 2025 estimated available RAM is 128734.6 MB
  20. Tue May 6 00:13:18 2025 commencing duplicate removal, pass 1
  21. Tue May 6 00:15:41 2025 found 17798991 hash collisions in 288924409 relations
  22. Tue May 6 00:15:53 2025 added 121767 free relations
  23. Tue May 6 00:15:53 2025 commencing duplicate removal, pass 2
  24. Tue May 6 00:16:48 2025 found 0 duplicates and 289046176 unique relations
  25. Tue May 6 00:16:48 2025 memory use: 852.8 MB
  26. Tue May 6 00:16:48 2025 reading ideals above 720000
  27. Tue May 6 00:16:48 2025 commencing singleton removal, initial pass
  28. Tue May 6 00:25:08 2025 memory use: 6024.0 MB
  29. Tue May 6 00:25:08 2025 reading all ideals from disk
  30. Tue May 6 00:25:11 2025 memory use: 13941.5 MB
  31. Tue May 6 00:25:25 2025 keeping 296736935 ideals with weight <= 200, target excess is 1507449
  32. Tue May 6 00:25:44 2025 commencing in-memory singleton removal
  33. Tue May 6 00:25:49 2025 begin with 289046176 relations and 296736935 unique ideals
  34. Tue May 6 00:26:21 2025 reduce to 139974596 relations and 127380797 ideals in 18 passes
  35. Tue May 6 00:26:21 2025 max relations containing the same ideal: 129
  36. Tue May 6 00:26:51 2025 removing 15452835 relations and 13452835 ideals in 2000000 cliques
  37. Tue May 6 00:26:54 2025 commencing in-memory singleton removal
  38. Tue May 6 00:26:57 2025 begin with 124521761 relations and 127380797 unique ideals
  39. Tue May 6 00:27:08 2025 reduce to 123080991 relations and 112459138 ideals in 10 passes
  40. Tue May 6 00:27:08 2025 max relations containing the same ideal: 119
  41. Tue May 6 00:27:34 2025 removing 11709248 relations and 9709248 ideals in 2000000 cliques
  42. Tue May 6 00:27:37 2025 commencing in-memory singleton removal
  43. Tue May 6 00:27:39 2025 begin with 111371743 relations and 112459138 unique ideals
  44. Tue May 6 00:27:49 2025 reduce to 110397934 relations and 101759298 ideals in 10 passes
  45. Tue May 6 00:27:49 2025 max relations containing the same ideal: 111
  46. Tue May 6 00:28:12 2025 removing 10610961 relations and 8610961 ideals in 2000000 cliques
  47. Tue May 6 00:28:15 2025 commencing in-memory singleton removal
  48. Tue May 6 00:28:16 2025 begin with 99786973 relations and 101759298 unique ideals
  49. Tue May 6 00:28:26 2025 reduce to 98883162 relations and 92228560 ideals in 11 passes
  50. Tue May 6 00:28:26 2025 max relations containing the same ideal: 105
  51. Tue May 6 00:28:47 2025 removing 10106624 relations and 8106624 ideals in 2000000 cliques
  52. Tue May 6 00:28:49 2025 commencing in-memory singleton removal
  53. Tue May 6 00:28:51 2025 begin with 88776538 relations and 92228560 unique ideals
  54. Tue May 6 00:28:58 2025 reduce to 87845584 relations and 83173419 ideals in 9 passes
  55. Tue May 6 00:28:58 2025 max relations containing the same ideal: 96
  56. Tue May 6 00:29:17 2025 removing 9861203 relations and 7861203 ideals in 2000000 cliques
  57. Tue May 6 00:29:19 2025 commencing in-memory singleton removal
  58. Tue May 6 00:29:20 2025 begin with 77984381 relations and 83173419 unique ideals
  59. Tue May 6 00:29:27 2025 reduce to 76965789 relations and 74272484 ideals in 10 passes
  60. Tue May 6 00:29:27 2025 max relations containing the same ideal: 87
  61. Tue May 6 00:29:44 2025 removing 5501005 relations and 4556341 ideals in 944664 cliques
  62. Tue May 6 00:29:46 2025 commencing in-memory singleton removal
  63. Tue May 6 00:29:47 2025 begin with 71464784 relations and 74272484 unique ideals
  64. Tue May 6 00:29:52 2025 reduce to 71128196 relations and 69375654 ideals in 8 passes
  65. Tue May 6 00:29:52 2025 max relations containing the same ideal: 84
  66. Tue May 6 00:30:13 2025 relations with 0 large ideals: 5235
  67. Tue May 6 00:30:13 2025 relations with 1 large ideals: 36500
  68. Tue May 6 00:30:13 2025 relations with 2 large ideals: 474580
  69. Tue May 6 00:30:13 2025 relations with 3 large ideals: 2795629
  70. Tue May 6 00:30:13 2025 relations with 4 large ideals: 9009763
  71. Tue May 6 00:30:13 2025 relations with 5 large ideals: 17226176
  72. Tue May 6 00:30:13 2025 relations with 6 large ideals: 20110019
  73. Tue May 6 00:30:13 2025 relations with 7+ large ideals: 21470294
  74. Tue May 6 00:30:13 2025 commencing 2-way merge
  75. Tue May 6 00:30:35 2025 reduce to 42483952 relation sets and 40731410 unique ideals
  76. Tue May 6 00:30:35 2025 commencing full merge
  77. Tue May 6 00:37:20 2025 memory use: 4317.0 MB
  78. Tue May 6 00:37:24 2025 found 18823829 cycles, need 18673610
  79. Tue May 6 00:37:27 2025 weight of 18673610 cycles is about 2054458700 (110.02/cycle)
  80. Tue May 6 00:37:27 2025 distribution of cycle lengths:
  81. Tue May 6 00:37:27 2025 1 relations: 1533154
  82. Tue May 6 00:37:27 2025 2 relations: 1479674
  83. Tue May 6 00:37:27 2025 3 relations: 1553404
  84. Tue May 6 00:37:27 2025 4 relations: 1506460
  85. Tue May 6 00:37:27 2025 5 relations: 1479124
  86. Tue May 6 00:37:27 2025 6 relations: 1350739
  87. Tue May 6 00:37:27 2025 7 relations: 1288331
  88. Tue May 6 00:37:27 2025 8 relations: 1173735
  89. Tue May 6 00:37:27 2025 9 relations: 1066153
  90. Tue May 6 00:37:27 2025 10+ relations: 6242836
  91. Tue May 6 00:37:27 2025 heaviest cycle: 27 relations
  92. Tue May 6 00:37:30 2025 commencing cycle optimization
  93. Tue May 6 00:37:54 2025 start with 146704260 relations
  94. Tue May 6 00:40:25 2025 pruned 4503668 relations
  95. Tue May 6 00:40:26 2025 memory use: 4384.5 MB
  96. Tue May 6 00:40:26 2025 distribution of cycle lengths:
  97. Tue May 6 00:40:26 2025 1 relations: 1533154
  98. Tue May 6 00:40:26 2025 2 relations: 1517852
  99. Tue May 6 00:40:26 2025 3 relations: 1613137
  100. Tue May 6 00:40:26 2025 4 relations: 1554146
  101. Tue May 6 00:40:26 2025 5 relations: 1526869
  102. Tue May 6 00:40:26 2025 6 relations: 1390472
  103. Tue May 6 00:40:26 2025 7 relations: 1320940
  104. Tue May 6 00:40:26 2025 8 relations: 1196280
  105. Tue May 6 00:40:26 2025 9 relations: 1085729
  106. Tue May 6 00:40:26 2025 10+ relations: 5935031
  107. Tue May 6 00:40:26 2025 heaviest cycle: 27 relations
  108. Tue May 6 00:40:45 2025 RelProcTime: 1647
  109. Tue May 6 00:40:47 2025 elapsed time 00:27:29
  110. Tue May 6 00:41:27 2025
  111. Tue May 6 00:41:27 2025
  112. Tue May 6 00:41:27 2025 Msieve v. 1.54 (SVN 66ed352)
  113. Tue May 6 00:41:27 2025 random seeds: dac16ee1 9dc92119
  114. Tue May 6 00:41:27 2025 MPI process 0 of 2
  115. Tue May 6 00:41:27 2025 Using 8 OpenMP threads
  116. Tue May 6 00:41:27 2025 factoring 2302318555657048987900025439922914738757505095267152919038656944870668040043613852494394766306521299089665537311676452635829262292680237116144685389392446486534996105264790492121 (178 digits)
  117. Tue May 6 00:41:27 2025 no P-1/P+1/ECM available, skipping
  118. Tue May 6 00:41:27 2025 commencing number field sieve (178-digit input)
  119. Tue May 6 00:41:27 2025 R0: -15284900599398104385530261232033889
  120. Tue May 6 00:41:27 2025 R1: 20141635512003577187
  121. Tue May 6 00:41:27 2025 A0: -3130220367140467431528536639013254039486880
  122. Tue May 6 00:41:27 2025 A1: 1360403776885664158120383116858653016
  123. Tue May 6 00:41:27 2025 A2: -58354172233200187065223244287
  124. Tue May 6 00:41:27 2025 A3: -13860513624035927408566
  125. Tue May 6 00:41:27 2025 A4: -537154440231108
  126. Tue May 6 00:41:27 2025 A5: 2759640
  127. Tue May 6 00:41:27 2025 skew 19046035.14, size 2.071e-17, alpha -7.876, combined = 1.081e-13 rroots = 3
  128. Tue May 6 00:41:27 2025
  129. Tue May 6 00:41:27 2025 commencing linear algebra
  130. Tue May 6 00:41:27 2025 using VBITS=256
  131. Tue May 6 00:41:27 2025 initialized process (0,0) of 1 x 2 grid
  132. Tue May 6 00:41:28 2025 read 18673610 cycles
  133. Tue May 6 00:41:51 2025 cycles contain 69677582 unique relations
  134. Tue May 6 00:42:30 2025 read 69677582 relations
  135. Tue May 6 00:42:44 2025 using 20 quadratic characters above 4294917295
  136. Tue May 6 00:43:03 2025 building initial matrix
  137. Tue May 6 00:50:29 2025 memory use: 9533.0 MB
  138. Tue May 6 00:50:38 2025 read 18673610 cycles
  139. Tue May 6 00:50:40 2025 matrix is 18673427 x 18673610 (8301.0 MB) with weight 2556992480 (136.93/col)
  140. Tue May 6 00:50:40 2025 sparse part has weight 1951975853 (104.53/col)
  141. Tue May 6 00:52:47 2025 filtering completed in 2 passes
  142. Tue May 6 00:52:50 2025 matrix is 18665848 x 18666028 (8300.3 MB) with weight 2556626854 (136.97/col)
  143. Tue May 6 00:52:50 2025 sparse part has weight 1951875249 (104.57/col)
  144. Tue May 6 00:53:23 2025 matrix starts at (0, 0)
  145. Tue May 6 00:53:24 2025 matrix is 18665848 x 9333016 (4150.1 MB) with weight 1278321539 (136.97/col)
  146. Tue May 6 00:53:24 2025 sparse part has weight 975937732 (104.57/col)
  147. Tue May 6 00:53:24 2025 saving the first 240 matrix rows for later
  148. Tue May 6 00:53:25 2025 matrix includes 256 packed rows
  149. Tue May 6 00:53:28 2025 matrix is 18665608 x 9333016 (3781.1 MB) with weight 893234600 (95.71/col)
  150. Tue May 6 00:53:28 2025 sparse part has weight 841851789 (90.20/col)
  151. Tue May 6 00:53:28 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  152. Tue May 6 00:53:28 2025 selected card has CUDA arch 8.6
  153. Tue May 6 00:54:12 2025 commencing Lanczos iteration
  154. Tue May 6 00:54:14 2025 memory use: 9662.6 MB
  155. Tue May 6 00:55:04 2025 linear algebra at 0.2%, ETA 8h16m
  156. Tue May 6 00:55:47 2025 checking every 50000 dimensions, checkpointing every 3050000 dimensions
  157. Tue May 6 05:46:48 2025 lanczos halted after 73131 iterations (dim = 18665607)
  158. Tue May 6 05:47:34 2025 recovered 31 nontrivial dependencies
  159. Tue May 6 05:47:34 2025 BLanczosTime: 18367
  160. Tue May 6 05:47:34 2025 elapsed time 05:06:07
  161. Tue May 6 21:18:12 2025
  162. Tue May 6 21:18:12 2025
  163. Tue May 6 21:18:12 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  164. Tue May 6 21:18:12 2025 random seeds: 1b0a88c3 9aca2ac5
  165. Tue May 6 21:18:12 2025 Using 16 OpenMP threads
  166. Tue May 6 21:18:12 2025 factoring 2302318555657048987900025439922914738757505095267152919038656944870668040043613852494394766306521299089665537311676452635829262292680237116144685389392446486534996105264790492121 (178 digits)
  167. Tue May 6 21:18:12 2025 no P-1/P+1/ECM available, skipping
  168. Tue May 6 21:18:12 2025 commencing number field sieve (178-digit input)
  169. Tue May 6 21:18:12 2025 R0: -15284900599398104385530261232033889
  170. Tue May 6 21:18:12 2025 R1: 20141635512003577187
  171. Tue May 6 21:18:12 2025 A0: -3130220367140467431528536639013254039486880
  172. Tue May 6 21:18:12 2025 A1: 1360403776885664158120383116858653016
  173. Tue May 6 21:18:12 2025 A2: -58354172233200187065223244287
  174. Tue May 6 21:18:12 2025 A3: -13860513624035927408566
  175. Tue May 6 21:18:12 2025 A4: -537154440231108
  176. Tue May 6 21:18:12 2025 A5: 2759640
  177. Tue May 6 21:18:12 2025 skew 19046035.14, size 2.071e-17, alpha -7.876, combined = 1.081e-13 rroots = 3
  178. Tue May 6 21:18:12 2025
  179. Tue May 6 21:18:12 2025 commencing square root phase
  180. Tue May 6 21:18:12 2025 reading relations for dependency 1
  181. Tue May 6 21:18:13 2025 read 9332926 cycles
  182. Tue May 6 21:18:27 2025 cycles contain 34834776 unique relations
  183. Tue May 6 21:19:06 2025 read 34834776 relations
  184. Tue May 6 21:21:14 2025 multiplying 34834776 relations
  185. Tue May 6 21:25:25 2025 multiply complete, coefficients have about 2143.34 million bits
  186. Tue May 6 21:25:29 2025 initial square root is modulo 64157
  187. Tue May 6 21:34:59 2025 GCD is N, no factor found
  188. Tue May 6 21:34:59 2025 reading relations for dependency 2
  189. Tue May 6 21:35:00 2025 read 9333859 cycles
  190. Tue May 6 21:35:12 2025 cycles contain 34832782 unique relations
  191. Tue May 6 21:35:47 2025 read 34832782 relations
  192. Tue May 6 21:37:13 2025 multiplying 34832782 relations
  193. Tue May 6 21:40:36 2025 multiply complete, coefficients have about 2143.22 million bits
  194. Tue May 6 21:40:40 2025 initial square root is modulo 64151
  195. Tue May 6 21:48:26 2025 GCD is N, no factor found
  196. Tue May 6 21:48:26 2025 reading relations for dependency 3
  197. Tue May 6 21:48:27 2025 read 9332310 cycles
  198. Tue May 6 21:48:39 2025 cycles contain 34832982 unique relations
  199. Tue May 6 21:49:34 2025 read 34832982 relations
  200. Tue May 6 21:51:36 2025 multiplying 34832982 relations
  201. Tue May 6 21:55:29 2025 multiply complete, coefficients have about 2143.22 million bits
  202. Tue May 6 21:55:42 2025 initial square root is modulo 64151
  203. Tue May 6 22:05:42 2025 GCD is 1, no factor found
  204. Tue May 6 22:05:42 2025 reading relations for dependency 4
  205. Tue May 6 22:05:44 2025 read 9333630 cycles
  206. Tue May 6 22:05:57 2025 cycles contain 34833972 unique relations
  207. Tue May 6 22:06:17 2025 read 34833972 relations
  208. Tue May 6 22:08:04 2025 multiplying 34833972 relations
  209. Tue May 6 22:12:06 2025 multiply complete, coefficients have about 2143.29 million bits
  210. Tue May 6 22:12:09 2025 initial square root is modulo 64151
  211. Tue May 6 22:22:10 2025 GCD is 1, no factor found
  212. Tue May 6 22:22:10 2025 reading relations for dependency 5
  213. Tue May 6 22:22:11 2025 read 9328224 cycles
  214. Tue May 6 22:22:22 2025 cycles contain 34830100 unique relations
  215. Tue May 6 22:22:42 2025 read 34830100 relations
  216. Tue May 6 22:24:24 2025 multiplying 34830100 relations
  217. Tue May 6 22:28:46 2025 multiply complete, coefficients have about 2143.05 million bits
  218. Tue May 6 22:28:49 2025 initial square root is modulo 64063
  219. Tue May 6 22:38:16 2025 sqrtTime: 4804
  220. Tue May 6 22:38:16 2025 p89 factor: 20221343708050577475646256006487660421095629905502700537583138865553844260204882792598817
  221. Tue May 6 22:38:16 2025 p90 factor: 113855863828695198682097697538222146108735287189461369391902504659742282360203296263747513
  222. Tue May 6 22:38:16 2025 elapsed time 01:20:04
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