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Mar 30th, 2025
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  1. Thu Mar 27 20:32:50 2025 Msieve v. 1.54 (SVN 03e8738)
  2. Thu Mar 27 20:32:50 2025 random seeds: 5a483c84 7524ec13
  3. Thu Mar 27 20:32:50 2025 Using 16 OpenMP threads
  4. Thu Mar 27 20:32:50 2025 factoring 657205522074651590681598794999258961828873627923225836798619998111183451931711773397503632146654827892996331655150213114367980446215097088458462482848482957824955781 (165 digits)
  5. Thu Mar 27 20:32:51 2025 no P-1/P+1/ECM available, skipping
  6. Thu Mar 27 20:32:51 2025 commencing number field sieve (165-digit input)
  7. Thu Mar 27 20:32:51 2025 R0: -212632626116373093542065299252472
  8. Thu Mar 27 20:32:51 2025 R1: 62493899318885113
  9. Thu Mar 27 20:32:51 2025 A0: -1332233854274217926212697499775622806393275
  10. Thu Mar 27 20:32:51 2025 A1: 162015867380963993359065521733628543
  11. Thu Mar 27 20:32:51 2025 A2: 8499368603864808587501144362
  12. Thu Mar 27 20:32:51 2025 A3: -449329140908696236011
  13. Thu Mar 27 20:32:51 2025 A4: -1209800607651
  14. Thu Mar 27 20:32:51 2025 A5: 1512
  15. Thu Mar 27 20:32:51 2025 skew 85581943.73, size 2.921e-16, alpha -7.185, combined = 5.174e-13 rroots = 5
  16. Thu Mar 27 20:32:51 2025
  17. Thu Mar 27 20:32:51 2025 commencing relation filtering
  18. Thu Mar 27 20:32:51 2025 setting target matrix density to 105.0
  19. Thu Mar 27 20:32:51 2025 estimated available RAM is 128734.6 MB
  20. Thu Mar 27 20:32:51 2025 commencing duplicate removal, pass 1
  21. Thu Mar 27 20:34:05 2025 found 5749975 hash collisions in 161091770 relations
  22. Thu Mar 27 20:34:19 2025 commencing duplicate removal, pass 2
  23. Thu Mar 27 20:34:48 2025 found 0 duplicates and 161091770 unique relations
  24. Thu Mar 27 20:34:48 2025 memory use: 522.4 MB
  25. Thu Mar 27 20:34:48 2025 reading ideals above 720000
  26. Thu Mar 27 20:34:49 2025 commencing singleton removal, initial pass
  27. Thu Mar 27 20:38:54 2025 memory use: 3012.0 MB
  28. Thu Mar 27 20:38:54 2025 reading all ideals from disk
  29. Thu Mar 27 20:38:55 2025 memory use: 7411.3 MB
  30. Thu Mar 27 20:39:01 2025 keeping 148999203 ideals with weight <= 200, target excess is 794152
  31. Thu Mar 27 20:39:10 2025 commencing in-memory singleton removal
  32. Thu Mar 27 20:39:12 2025 begin with 161091770 relations and 148999203 unique ideals
  33. Thu Mar 27 20:39:33 2025 reduce to 113818872 relations and 99001386 ideals in 18 passes
  34. Thu Mar 27 20:39:33 2025 max relations containing the same ideal: 168
  35. Thu Mar 27 20:39:54 2025 removing 12986941 relations and 10986941 ideals in 2000000 cliques
  36. Thu Mar 27 20:39:57 2025 commencing in-memory singleton removal
  37. Thu Mar 27 20:39:59 2025 begin with 100831931 relations and 99001386 unique ideals
  38. Thu Mar 27 20:40:07 2025 reduce to 99651365 relations and 86806960 ideals in 10 passes
  39. Thu Mar 27 20:40:07 2025 max relations containing the same ideal: 153
  40. Thu Mar 27 20:40:26 2025 removing 9936802 relations and 7936802 ideals in 2000000 cliques
  41. Thu Mar 27 20:40:28 2025 commencing in-memory singleton removal
  42. Thu Mar 27 20:40:30 2025 begin with 89714563 relations and 86806960 unique ideals
  43. Thu Mar 27 20:40:36 2025 reduce to 88892328 relations and 78031163 ideals in 9 passes
  44. Thu Mar 27 20:40:36 2025 max relations containing the same ideal: 142
  45. Thu Mar 27 20:40:54 2025 removing 9034076 relations and 7034076 ideals in 2000000 cliques
  46. Thu Mar 27 20:40:56 2025 commencing in-memory singleton removal
  47. Thu Mar 27 20:40:57 2025 begin with 79858252 relations and 78031163 unique ideals
  48. Thu Mar 27 20:41:03 2025 reduce to 79086858 relations and 70209164 ideals in 10 passes
  49. Thu Mar 27 20:41:03 2025 max relations containing the same ideal: 136
  50. Thu Mar 27 20:41:19 2025 removing 8622691 relations and 6622691 ideals in 2000000 cliques
  51. Thu Mar 27 20:41:21 2025 commencing in-memory singleton removal
  52. Thu Mar 27 20:41:22 2025 begin with 70464167 relations and 70209164 unique ideals
  53. Thu Mar 27 20:41:27 2025 reduce to 69672541 relations and 62776542 ideals in 9 passes
  54. Thu Mar 27 20:41:27 2025 max relations containing the same ideal: 125
  55. Thu Mar 27 20:41:41 2025 removing 8420396 relations and 6420396 ideals in 2000000 cliques
  56. Thu Mar 27 20:41:43 2025 commencing in-memory singleton removal
  57. Thu Mar 27 20:41:44 2025 begin with 61252145 relations and 62776542 unique ideals
  58. Thu Mar 27 20:41:48 2025 reduce to 60394335 relations and 55475994 ideals in 10 passes
  59. Thu Mar 27 20:41:48 2025 max relations containing the same ideal: 114
  60. Thu Mar 27 20:42:01 2025 removing 8348076 relations and 6348076 ideals in 2000000 cliques
  61. Thu Mar 27 20:42:03 2025 commencing in-memory singleton removal
  62. Thu Mar 27 20:42:03 2025 begin with 52046259 relations and 55475994 unique ideals
  63. Thu Mar 27 20:42:07 2025 reduce to 51056804 relations and 48109170 ideals in 10 passes
  64. Thu Mar 27 20:42:07 2025 max relations containing the same ideal: 98
  65. Thu Mar 27 20:42:18 2025 removing 8391636 relations and 6391636 ideals in 2000000 cliques
  66. Thu Mar 27 20:42:20 2025 commencing in-memory singleton removal
  67. Thu Mar 27 20:42:20 2025 begin with 42665168 relations and 48109170 unique ideals
  68. Thu Mar 27 20:42:24 2025 reduce to 41451130 relations and 40460824 ideals in 11 passes
  69. Thu Mar 27 20:42:24 2025 max relations containing the same ideal: 88
  70. Thu Mar 27 20:42:33 2025 removing 603263 relations and 534174 ideals in 69089 cliques
  71. Thu Mar 27 20:42:33 2025 commencing in-memory singleton removal
  72. Thu Mar 27 20:42:34 2025 begin with 40847867 relations and 40460824 unique ideals
  73. Thu Mar 27 20:42:36 2025 reduce to 40841790 relations and 39920562 ideals in 7 passes
  74. Thu Mar 27 20:42:36 2025 max relations containing the same ideal: 87
  75. Thu Mar 27 20:42:39 2025 relations with 0 large ideals: 2904
  76. Thu Mar 27 20:42:39 2025 relations with 1 large ideals: 15708
  77. Thu Mar 27 20:42:39 2025 relations with 2 large ideals: 232063
  78. Thu Mar 27 20:42:39 2025 relations with 3 large ideals: 1464065
  79. Thu Mar 27 20:42:39 2025 relations with 4 large ideals: 4929106
  80. Thu Mar 27 20:42:39 2025 relations with 5 large ideals: 9680091
  81. Thu Mar 27 20:42:39 2025 relations with 6 large ideals: 11574983
  82. Thu Mar 27 20:42:39 2025 relations with 7+ large ideals: 12942870
  83. Thu Mar 27 20:42:39 2025 commencing 2-way merge
  84. Thu Mar 27 20:42:52 2025 reduce to 24168546 relation sets and 23247318 unique ideals
  85. Thu Mar 27 20:42:52 2025 commencing full merge
  86. Thu Mar 27 20:47:00 2025 memory use: 2749.6 MB
  87. Thu Mar 27 20:47:02 2025 found 11021119 cycles, need 10945518
  88. Thu Mar 27 20:47:04 2025 weight of 10945518 cycles is about 1149867987 (105.05/cycle)
  89. Thu Mar 27 20:47:04 2025 distribution of cycle lengths:
  90. Thu Mar 27 20:47:04 2025 1 relations: 1004254
  91. Thu Mar 27 20:47:04 2025 2 relations: 882761
  92. Thu Mar 27 20:47:04 2025 3 relations: 883261
  93. Thu Mar 27 20:47:04 2025 4 relations: 851618
  94. Thu Mar 27 20:47:04 2025 5 relations: 834874
  95. Thu Mar 27 20:47:04 2025 6 relations: 789067
  96. Thu Mar 27 20:47:04 2025 7 relations: 758704
  97. Thu Mar 27 20:47:04 2025 8 relations: 703827
  98. Thu Mar 27 20:47:04 2025 9 relations: 640673
  99. Thu Mar 27 20:47:04 2025 10+ relations: 3596479
  100. Thu Mar 27 20:47:04 2025 heaviest cycle: 28 relations
  101. Thu Mar 27 20:47:06 2025 commencing cycle optimization
  102. Thu Mar 27 20:47:18 2025 start with 85091280 relations
  103. Thu Mar 27 20:48:45 2025 pruned 2757976 relations
  104. Thu Mar 27 20:48:45 2025 memory use: 2528.7 MB
  105. Thu Mar 27 20:48:45 2025 distribution of cycle lengths:
  106. Thu Mar 27 20:48:45 2025 1 relations: 1004254
  107. Thu Mar 27 20:48:45 2025 2 relations: 903844
  108. Thu Mar 27 20:48:45 2025 3 relations: 915137
  109. Thu Mar 27 20:48:45 2025 4 relations: 878043
  110. Thu Mar 27 20:48:45 2025 5 relations: 863867
  111. Thu Mar 27 20:48:45 2025 6 relations: 814446
  112. Thu Mar 27 20:48:45 2025 7 relations: 782901
  113. Thu Mar 27 20:48:45 2025 8 relations: 721212
  114. Thu Mar 27 20:48:45 2025 9 relations: 654741
  115. Thu Mar 27 20:48:45 2025 10+ relations: 3407073
  116. Thu Mar 27 20:48:45 2025 heaviest cycle: 28 relations
  117. Thu Mar 27 20:48:57 2025 RelProcTime: 966
  118. Thu Mar 27 20:48:57 2025 elapsed time 00:16:07
  119. Thu Mar 27 20:49:27 2025
  120. Thu Mar 27 20:49:27 2025
  121. Thu Mar 27 20:49:27 2025 Msieve v. 1.54 (SVN 03e8738)
  122. Thu Mar 27 20:49:27 2025 random seeds: a3dd72d2 153314d0
  123. Thu Mar 27 20:49:27 2025 Using 16 OpenMP threads
  124. Thu Mar 27 20:49:27 2025 factoring 657205522074651590681598794999258961828873627923225836798619998111183451931711773397503632146654827892996331655150213114367980446215097088458462482848482957824955781 (165 digits)
  125. Thu Mar 27 20:49:27 2025 no P-1/P+1/ECM available, skipping
  126. Thu Mar 27 20:49:27 2025 commencing number field sieve (165-digit input)
  127. Thu Mar 27 20:49:27 2025 R0: -212632626116373093542065299252472
  128. Thu Mar 27 20:49:27 2025 R1: 62493899318885113
  129. Thu Mar 27 20:49:27 2025 A0: -1332233854274217926212697499775622806393275
  130. Thu Mar 27 20:49:27 2025 A1: 162015867380963993359065521733628543
  131. Thu Mar 27 20:49:27 2025 A2: 8499368603864808587501144362
  132. Thu Mar 27 20:49:27 2025 A3: -449329140908696236011
  133. Thu Mar 27 20:49:27 2025 A4: -1209800607651
  134. Thu Mar 27 20:49:27 2025 A5: 1512
  135. Thu Mar 27 20:49:27 2025 skew 85581943.73, size 2.921e-16, alpha -7.185, combined = 5.174e-13 rroots = 5
  136. Thu Mar 27 20:49:27 2025
  137. Thu Mar 27 20:49:27 2025 commencing linear algebra
  138. Thu Mar 27 20:49:27 2025 using VBITS=256
  139. Thu Mar 27 20:49:28 2025 read 10945518 cycles
  140. Thu Mar 27 20:49:40 2025 cycles contain 40131643 unique relations
  141. Thu Mar 27 20:49:55 2025 read 40131643 relations
  142. Thu Mar 27 20:49:59 2025 using 20 quadratic characters above 4294917295
  143. Thu Mar 27 20:50:05 2025 building initial matrix
  144. Thu Mar 27 20:54:16 2025 memory use: 5505.3 MB
  145. Thu Mar 27 20:54:19 2025 read 10945518 cycles
  146. Thu Mar 27 20:54:20 2025 matrix is 10945339 x 10945518 (4641.3 MB) with weight 1429667531 (130.62/col)
  147. Thu Mar 27 20:54:20 2025 sparse part has weight 1085341802 (99.16/col)
  148. Thu Mar 27 20:55:27 2025 filtering completed in 2 passes
  149. Thu Mar 27 20:55:28 2025 matrix is 10943041 x 10943218 (4641.1 MB) with weight 1429558145 (130.63/col)
  150. Thu Mar 27 20:55:28 2025 sparse part has weight 1085309951 (99.18/col)
  151. Thu Mar 27 20:55:46 2025 matrix starts at (0, 0)
  152. Thu Mar 27 20:55:47 2025 matrix is 10943041 x 10943218 (4641.1 MB) with weight 1429558145 (130.63/col)
  153. Thu Mar 27 20:55:47 2025 sparse part has weight 1085309951 (99.18/col)
  154. Thu Mar 27 20:55:47 2025 saving the first 240 matrix rows for later
  155. Thu Mar 27 20:55:48 2025 matrix includes 256 packed rows
  156. Thu Mar 27 20:55:51 2025 matrix is 10942801 x 10943218 (4208.4 MB) with weight 990229165 (90.49/col)
  157. Thu Mar 27 20:55:51 2025 sparse part has weight 928110893 (84.81/col)
  158. Thu Mar 27 20:55:52 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  159. Thu Mar 27 20:55:52 2025 selected card has CUDA arch 8.6
  160. Thu Mar 27 20:56:20 2025 commencing Lanczos iteration
  161. Thu Mar 27 20:56:21 2025 memory use: 9836.1 MB
  162. Thu Mar 27 20:56:50 2025 linear algebra at 0.3%, ETA 2h52m
  163. Thu Mar 27 20:57:34 2025 checking every 60000 dimensions, checkpointing every 3840000 dimensions
  164. Thu Mar 27 23:50:42 2025 lanczos halted after 42875 iterations (dim = 10942801)
  165. Thu Mar 27 23:51:07 2025 recovered 32 nontrivial dependencies
  166. Thu Mar 27 23:51:07 2025 BLanczosTime: 10900
  167. Thu Mar 27 23:51:07 2025 elapsed time 03:01:40
  168. Fri Mar 28 09:24:00 2025
  169. Fri Mar 28 09:24:00 2025
  170. Fri Mar 28 09:24:00 2025 Msieve v. 1.54 (SVN 03e8738)
  171. Fri Mar 28 09:24:00 2025 random seeds: 0f78032e ffcd0f26
  172. Fri Mar 28 09:24:00 2025 Using 16 OpenMP threads
  173. Fri Mar 28 09:24:00 2025 factoring 657205522074651590681598794999258961828873627923225836798619998111183451931711773397503632146654827892996331655150213114367980446215097088458462482848482957824955781 (165 digits)
  174. Fri Mar 28 09:24:01 2025 no P-1/P+1/ECM available, skipping
  175. Fri Mar 28 09:24:01 2025 commencing number field sieve (165-digit input)
  176. Fri Mar 28 09:24:01 2025 R0: -212632626116373093542065299252472
  177. Fri Mar 28 09:24:01 2025 R1: 62493899318885113
  178. Fri Mar 28 09:24:01 2025 A0: -1332233854274217926212697499775622806393275
  179. Fri Mar 28 09:24:01 2025 A1: 162015867380963993359065521733628543
  180. Fri Mar 28 09:24:01 2025 A2: 8499368603864808587501144362
  181. Fri Mar 28 09:24:01 2025 A3: -449329140908696236011
  182. Fri Mar 28 09:24:01 2025 A4: -1209800607651
  183. Fri Mar 28 09:24:01 2025 A5: 1512
  184. Fri Mar 28 09:24:01 2025 skew 85581943.73, size 2.921e-16, alpha -7.185, combined = 5.174e-13 rroots = 5
  185. Fri Mar 28 09:24:01 2025
  186. Fri Mar 28 09:24:01 2025 commencing square root phase
  187. Fri Mar 28 09:24:01 2025 reading relations for dependency 1
  188. Fri Mar 28 09:24:01 2025 read 5470935 cycles
  189. Fri Mar 28 09:24:08 2025 cycles contain 20056650 unique relations
  190. Fri Mar 28 09:24:17 2025 read 20056650 relations
  191. Fri Mar 28 09:25:00 2025 multiplying 20056650 relations
  192. Fri Mar 28 09:26:26 2025 multiply complete, coefficients have about 1027.16 million bits
  193. Fri Mar 28 09:26:28 2025 initial square root is modulo 1641051673
  194. Fri Mar 28 09:29:36 2025 GCD is 1, no factor found
  195. Fri Mar 28 09:29:36 2025 reading relations for dependency 2
  196. Fri Mar 28 09:29:37 2025 read 5472747 cycles
  197. Fri Mar 28 09:29:43 2025 cycles contain 20065654 unique relations
  198. Fri Mar 28 09:29:53 2025 read 20065654 relations
  199. Fri Mar 28 09:30:37 2025 multiplying 20065654 relations
  200. Fri Mar 28 09:32:04 2025 multiply complete, coefficients have about 1027.61 million bits
  201. Fri Mar 28 09:32:06 2025 initial square root is modulo 1656583069
  202. Fri Mar 28 09:35:18 2025 sqrtTime: 677
  203. Fri Mar 28 09:35:18 2025 p73 factor: 3301165291821492643997796975872352620908934194422465906734203551770889671
  204. Fri Mar 28 09:35:18 2025 p93 factor: 199082888609925852435212674191815154901554336379301342943597935654025143661644748163594531411
  205. Fri Mar 28 09:35:18 2025 elapsed time 00:11:18
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