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Jul 5th, 2023
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  1. Wed Jul 5 10:06:51 2023
  2. Wed Jul 5 10:06:51 2023
  3. Wed Jul 5 10:06:51 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Jul 5 10:06:51 2023 random seeds: d8173537 5e9b6a0b
  5. Wed Jul 5 10:06:51 2023 factoring 95359346131280064239002468154541961941067609096762544284851980334857350925785255938462355565546417512112481577073145763461012301243791987795443938042506044875602880244227817 (173 digits)
  6. Wed Jul 5 10:06:52 2023 no P-1/P+1/ECM available, skipping
  7. Wed Jul 5 10:06:52 2023 commencing number field sieve (173-digit input)
  8. Wed Jul 5 10:06:52 2023 reversing signs of algebraic polynomial
  9. Wed Jul 5 10:06:52 2023 R0: -1
  10. Wed Jul 5 10:06:52 2023 R1: 314472555418308728442492178142971371043
  11. Wed Jul 5 10:06:52 2023 A0: -50062963
  12. Wed Jul 5 10:06:52 2023 A1: 0
  13. Wed Jul 5 10:06:52 2023 A2: 0
  14. Wed Jul 5 10:06:52 2023 A3: 0
  15. Wed Jul 5 10:06:52 2023 A4: 0
  16. Wed Jul 5 10:06:52 2023 A5: 0
  17. Wed Jul 5 10:06:52 2023 A6: 1
  18. Wed Jul 5 10:06:52 2023 skew 15.06, size 1.525e-12, alpha 1.427, combined = 1.703e-13 rroots = 2
  19. Wed Jul 5 10:06:52 2023
  20. Wed Jul 5 10:06:52 2023 commencing relation filtering
  21. Wed Jul 5 10:06:52 2023 setting target matrix density to 112.0
  22. Wed Jul 5 10:06:52 2023 reversing signs of algebraic polynomial
  23. Wed Jul 5 10:06:52 2023 estimated available RAM is 15960.0 MB
  24. Wed Jul 5 10:06:52 2023 commencing duplicate removal, pass 1
  25. Wed Jul 5 10:07:25 2023 error -15 reading relation 4731636
  26. Wed Jul 5 10:08:47 2023 error -15 reading relation 16323756
  27. Wed Jul 5 10:11:58 2023 error -15 reading relation 35438225
  28. Wed Jul 5 10:20:06 2023 error -15 reading relation 85642615
  29. Wed Jul 5 10:23:46 2023 error -15 reading relation 108340850
  30. Wed Jul 5 10:25:15 2023 error -15 reading relation 117405562
  31. Wed Jul 5 10:28:53 2023 skipped 5 relations with b > 2^32
  32. Wed Jul 5 10:28:53 2023 skipped 2 relations with composite factors
  33. Wed Jul 5 10:28:53 2023 found 4403724 hash collisions in 140536598 relations
  34. Wed Jul 5 10:29:12 2023 added 1218706 free relations
  35. Wed Jul 5 10:29:12 2023 commencing duplicate removal, pass 2
  36. Wed Jul 5 10:30:07 2023 found 0 duplicates and 141755304 unique relations
  37. Wed Jul 5 10:30:07 2023 memory use: 389.2 MB
  38. Wed Jul 5 10:30:07 2023 reading ideals above 119865344
  39. Wed Jul 5 10:30:07 2023 commencing singleton removal, initial pass
  40. Wed Jul 5 10:45:43 2023 memory use: 3012.0 MB
  41. Wed Jul 5 10:45:43 2023 reading all ideals from disk
  42. Wed Jul 5 10:45:47 2023 memory use: 2499.7 MB
  43. Wed Jul 5 10:45:55 2023 commencing in-memory singleton removal
  44. Wed Jul 5 10:46:03 2023 begin with 141755304 relations and 118772260 unique ideals
  45. Wed Jul 5 10:47:14 2023 reduce to 92863563 relations and 65254131 ideals in 14 passes
  46. Wed Jul 5 10:47:14 2023 max relations containing the same ideal: 36
  47. Wed Jul 5 10:47:21 2023 reading ideals above 720000
  48. Wed Jul 5 10:47:22 2023 commencing singleton removal, initial pass
  49. Wed Jul 5 11:00:30 2023 memory use: 1506.0 MB
  50. Wed Jul 5 11:00:31 2023 reading all ideals from disk
  51. Wed Jul 5 11:00:39 2023 memory use: 3744.3 MB
  52. Wed Jul 5 11:00:51 2023 keeping 78426607 ideals with weight <= 200, target excess is 493018
  53. Wed Jul 5 11:01:04 2023 commencing in-memory singleton removal
  54. Wed Jul 5 11:01:15 2023 begin with 92863563 relations and 78426607 unique ideals
  55. Wed Jul 5 11:02:13 2023 reduce to 92863109 relations and 78426153 ideals in 6 passes
  56. Wed Jul 5 11:02:13 2023 max relations containing the same ideal: 200
  57. Wed Jul 5 11:03:10 2023 removing 9948866 relations and 7948866 ideals in 2000000 cliques
  58. Wed Jul 5 11:03:14 2023 commencing in-memory singleton removal
  59. Wed Jul 5 11:03:23 2023 begin with 82914243 relations and 78426153 unique ideals
  60. Wed Jul 5 11:04:49 2023 reduce to 82053092 relations and 69592992 ideals in 10 passes
  61. Wed Jul 5 11:04:49 2023 max relations containing the same ideal: 193
  62. Wed Jul 5 11:05:38 2023 removing 7809906 relations and 5809906 ideals in 2000000 cliques
  63. Wed Jul 5 11:05:42 2023 commencing in-memory singleton removal
  64. Wed Jul 5 11:05:50 2023 begin with 74243186 relations and 69592992 unique ideals
  65. Wed Jul 5 11:06:49 2023 reduce to 73632610 relations and 63157771 ideals in 8 passes
  66. Wed Jul 5 11:06:49 2023 max relations containing the same ideal: 180
  67. Wed Jul 5 11:07:32 2023 removing 7226433 relations and 5226433 ideals in 2000000 cliques
  68. Wed Jul 5 11:07:35 2023 commencing in-memory singleton removal
  69. Wed Jul 5 11:07:42 2023 begin with 66406177 relations and 63157771 unique ideals
  70. Wed Jul 5 11:08:32 2023 reduce to 65834817 relations and 57345391 ideals in 8 passes
  71. Wed Jul 5 11:08:32 2023 max relations containing the same ideal: 171
  72. Wed Jul 5 11:09:11 2023 removing 6962546 relations and 4962546 ideals in 2000000 cliques
  73. Wed Jul 5 11:09:15 2023 commencing in-memory singleton removal
  74. Wed Jul 5 11:09:20 2023 begin with 58872271 relations and 57345391 unique ideals
  75. Wed Jul 5 11:10:05 2023 reduce to 58295725 relations and 51790362 ideals in 8 passes
  76. Wed Jul 5 11:10:05 2023 max relations containing the same ideal: 159
  77. Wed Jul 5 11:10:41 2023 removing 6836516 relations and 4836516 ideals in 2000000 cliques
  78. Wed Jul 5 11:10:44 2023 commencing in-memory singleton removal
  79. Wed Jul 5 11:10:49 2023 begin with 51459209 relations and 51790362 unique ideals
  80. Wed Jul 5 11:11:25 2023 reduce to 50842950 relations and 46318881 ideals in 8 passes
  81. Wed Jul 5 11:11:25 2023 max relations containing the same ideal: 146
  82. Wed Jul 5 11:11:57 2023 removing 6781522 relations and 4781522 ideals in 2000000 cliques
  83. Wed Jul 5 11:12:00 2023 commencing in-memory singleton removal
  84. Wed Jul 5 11:12:03 2023 begin with 44061428 relations and 46318881 unique ideals
  85. Wed Jul 5 11:12:34 2023 reduce to 43376428 relations and 40828988 ideals in 8 passes
  86. Wed Jul 5 11:12:34 2023 max relations containing the same ideal: 128
  87. Wed Jul 5 11:13:01 2023 removing 6715604 relations and 4740065 ideals in 1975539 cliques
  88. Wed Jul 5 11:13:04 2023 commencing in-memory singleton removal
  89. Wed Jul 5 11:13:07 2023 begin with 36660824 relations and 40828988 unique ideals
  90. Wed Jul 5 11:13:33 2023 reduce to 35873583 relations and 35270141 ideals in 8 passes
  91. Wed Jul 5 11:13:33 2023 max relations containing the same ideal: 114
  92. Wed Jul 5 11:13:55 2023 removing 227715 relations and 196174 ideals in 31541 cliques
  93. Wed Jul 5 11:13:56 2023 commencing in-memory singleton removal
  94. Wed Jul 5 11:14:00 2023 begin with 35645868 relations and 35270141 unique ideals
  95. Wed Jul 5 11:14:15 2023 reduce to 35644975 relations and 35073072 ideals in 5 passes
  96. Wed Jul 5 11:14:15 2023 max relations containing the same ideal: 113
  97. Wed Jul 5 11:14:25 2023 relations with 0 large ideals: 17854
  98. Wed Jul 5 11:14:25 2023 relations with 1 large ideals: 5336
  99. Wed Jul 5 11:14:25 2023 relations with 2 large ideals: 44315
  100. Wed Jul 5 11:14:25 2023 relations with 3 large ideals: 365000
  101. Wed Jul 5 11:14:25 2023 relations with 4 large ideals: 1667552
  102. Wed Jul 5 11:14:25 2023 relations with 5 large ideals: 4628249
  103. Wed Jul 5 11:14:25 2023 relations with 6 large ideals: 8142525
  104. Wed Jul 5 11:14:25 2023 relations with 7+ large ideals: 20774144
  105. Wed Jul 5 11:14:25 2023 commencing 2-way merge
  106. Wed Jul 5 11:14:55 2023 reduce to 23481371 relation sets and 22909468 unique ideals
  107. Wed Jul 5 11:14:55 2023 commencing full merge
  108. Wed Jul 5 11:25:15 2023 memory use: 3120.0 MB
  109. Wed Jul 5 11:25:18 2023 found 10880836 cycles, need 10857668
  110. Wed Jul 5 11:25:22 2023 weight of 10857668 cycles is about 1216342673 (112.03/cycle)
  111. Wed Jul 5 11:25:22 2023 distribution of cycle lengths:
  112. Wed Jul 5 11:25:22 2023 1 relations: 637741
  113. Wed Jul 5 11:25:22 2023 2 relations: 784108
  114. Wed Jul 5 11:25:22 2023 3 relations: 868416
  115. Wed Jul 5 11:25:22 2023 4 relations: 876389
  116. Wed Jul 5 11:25:22 2023 5 relations: 871394
  117. Wed Jul 5 11:25:22 2023 6 relations: 844557
  118. Wed Jul 5 11:25:22 2023 7 relations: 802762
  119. Wed Jul 5 11:25:22 2023 8 relations: 747767
  120. Wed Jul 5 11:25:22 2023 9 relations: 684252
  121. Wed Jul 5 11:25:22 2023 10+ relations: 3740282
  122. Wed Jul 5 11:25:22 2023 heaviest cycle: 28 relations
  123. Wed Jul 5 11:25:26 2023 commencing cycle optimization
  124. Wed Jul 5 11:25:45 2023 start with 88431558 relations
  125. Wed Jul 5 11:29:32 2023 pruned 3915461 relations
  126. Wed Jul 5 11:29:33 2023 memory use: 2390.8 MB
  127. Wed Jul 5 11:29:33 2023 distribution of cycle lengths:
  128. Wed Jul 5 11:29:33 2023 1 relations: 637741
  129. Wed Jul 5 11:29:33 2023 2 relations: 803265
  130. Wed Jul 5 11:29:33 2023 3 relations: 905901
  131. Wed Jul 5 11:29:33 2023 4 relations: 911887
  132. Wed Jul 5 11:29:33 2023 5 relations: 914328
  133. Wed Jul 5 11:29:33 2023 6 relations: 882752
  134. Wed Jul 5 11:29:33 2023 7 relations: 840862
  135. Wed Jul 5 11:29:33 2023 8 relations: 778275
  136. Wed Jul 5 11:29:33 2023 9 relations: 709045
  137. Wed Jul 5 11:29:33 2023 10+ relations: 3473612
  138. Wed Jul 5 11:29:33 2023 heaviest cycle: 28 relations
  139. Wed Jul 5 11:30:05 2023 RelProcTime: 4993
  140. Wed Jul 5 11:30:05 2023 elapsed time 01:23:14
  141. Wed Jul 5 12:01:31 2023
  142. Wed Jul 5 12:01:31 2023
  143. Wed Jul 5 12:01:31 2023 Msieve v. 1.54 (SVN Unversioned directory)
  144. Wed Jul 5 12:01:31 2023 random seeds: 93140987 04982bff
  145. Wed Jul 5 12:01:31 2023 factoring 95359346131280064239002468154541961941067609096762544284851980334857350925785255938462355565546417512112481577073145763461012301243791987795443938042506044875602880244227817 (173 digits)
  146. Wed Jul 5 12:01:32 2023 no P-1/P+1/ECM available, skipping
  147. Wed Jul 5 12:01:32 2023 commencing number field sieve (173-digit input)
  148. Wed Jul 5 12:01:32 2023 reversing signs of algebraic polynomial
  149. Wed Jul 5 12:01:32 2023 R0: -1
  150. Wed Jul 5 12:01:32 2023 R1: 314472555418308728442492178142971371043
  151. Wed Jul 5 12:01:32 2023 A0: -50062963
  152. Wed Jul 5 12:01:32 2023 A1: 0
  153. Wed Jul 5 12:01:32 2023 A2: 0
  154. Wed Jul 5 12:01:32 2023 A3: 0
  155. Wed Jul 5 12:01:32 2023 A4: 0
  156. Wed Jul 5 12:01:32 2023 A5: 0
  157. Wed Jul 5 12:01:32 2023 A6: 1
  158. Wed Jul 5 12:01:32 2023 skew 15.06, size 1.525e-12, alpha 1.427, combined = 1.703e-13 rroots = 2
  159. Wed Jul 5 12:01:32 2023
  160. Wed Jul 5 12:01:32 2023 commencing linear algebra
  161. Wed Jul 5 12:01:32 2023 using VBITS=256
  162. Wed Jul 5 12:01:32 2023 reversing signs of algebraic polynomial
  163. Wed Jul 5 12:01:33 2023 read 10857423 cycles
  164. Wed Jul 5 12:02:02 2023 cycles contain 35311052 unique relations
  165. Wed Jul 5 12:06:13 2023 read 35311052 relations
  166. Wed Jul 5 12:07:38 2023 using 20 quadratic characters above 4294917295
  167. Wed Jul 5 12:10:58 2023 building initial matrix
  168. Wed Jul 5 12:19:31 2023 memory use: 4719.2 MB
  169. Wed Jul 5 12:19:38 2023 read 10857423 cycles
  170. Wed Jul 5 12:19:40 2023 matrix is 10857261 x 10857423 (4802.3 MB) with weight 1391172332 (128.13/col)
  171. Wed Jul 5 12:19:40 2023 sparse part has weight 1139464851 (104.95/col)
  172. Wed Jul 5 12:21:17 2023 filtering completed in 1 passes
  173. Wed Jul 5 12:21:19 2023 matrix is 10857261 x 10857423 (4802.3 MB) with weight 1391172332 (128.13/col)
  174. Wed Jul 5 12:21:19 2023 sparse part has weight 1139464851 (104.95/col)
  175. Wed Jul 5 12:21:51 2023 matrix starts at (0, 0)
  176. Wed Jul 5 12:21:53 2023 matrix is 10857261 x 10857423 (4802.3 MB) with weight 1391172332 (128.13/col)
  177. Wed Jul 5 12:21:53 2023 sparse part has weight 1139464851 (104.95/col)
  178. Wed Jul 5 12:21:53 2023 saving the first 240 matrix rows for later
  179. Wed Jul 5 12:21:56 2023 matrix includes 256 packed rows
  180. Wed Jul 5 12:22:02 2023 matrix is 10857021 x 10857423 (4441.8 MB) with weight 1045019334 (96.25/col)
  181. Wed Jul 5 12:22:02 2023 sparse part has weight 990665914 (91.24/col)
  182. Wed Jul 5 12:22:02 2023 using GPU 0 (NVIDIA GeForce RTX 3060)
  183. Wed Jul 5 12:22:02 2023 selected card has CUDA arch 8.6
  184. Wed Jul 5 12:23:38 2023 commencing Lanczos iteration
  185. Wed Jul 5 12:23:39 2023 memory use: 10540.3 MB
  186. Wed Jul 5 12:24:00 2023 linear algebra at 0.1%, ETA 7h52m
  187. Wed Jul 5 12:24:01 2023 checkpointing every 1360000 dimensions
  188. Wed Jul 5 20:22:38 2023 lanczos halted after 42539 iterations (dim = 10857016)
  189. Wed Jul 5 20:23:27 2023 recovered 34 nontrivial dependencies
  190. Wed Jul 5 20:23:27 2023 BLanczosTime: 30115
  191. Wed Jul 5 20:23:27 2023
  192. Wed Jul 5 20:23:27 2023 commencing square root phase
  193. Wed Jul 5 20:23:27 2023 reversing signs of algebraic polynomial
  194. Wed Jul 5 20:23:27 2023 handling dependencies 1 to 64
  195. Wed Jul 5 20:23:27 2023 reading relations for dependency 1
  196. Wed Jul 5 20:23:28 2023 read 5429504 cycles
  197. Wed Jul 5 20:23:37 2023 cycles contain 17653912 unique relations
  198. Wed Jul 5 20:25:11 2023 read 17653912 relations
  199. Wed Jul 5 20:26:28 2023 multiplying 17653912 relations
  200. Wed Jul 5 20:37:02 2023 multiply complete, coefficients have about 489.83 million bits
  201. Wed Jul 5 20:37:04 2023 initial square root is modulo 615193699
  202. Wed Jul 5 20:48:50 2023 GCD is 1, no factor found
  203. Wed Jul 5 20:48:50 2023 reading relations for dependency 2
  204. Wed Jul 5 20:48:52 2023 read 5427910 cycles
  205. Wed Jul 5 20:49:00 2023 cycles contain 17657938 unique relations
  206. Wed Jul 5 20:50:33 2023 read 17657938 relations
  207. Wed Jul 5 20:51:44 2023 multiplying 17657938 relations
  208. Wed Jul 5 21:02:17 2023 multiply complete, coefficients have about 489.93 million bits
  209. Wed Jul 5 21:02:18 2023 initial square root is modulo 617890237
  210. Wed Jul 5 21:14:01 2023 sqrtTime: 3034
  211. Wed Jul 5 21:14:01 2023 p67 factor: 1573575637195575022174979718540880094451155570074499489942984795941
  212. Wed Jul 5 21:14:01 2023 p107 factor: 60600421026617696390344282499027189658311491388104606438250608426235200204015070879621608272238134094258037
  213. Wed Jul 5 21:14:01 2023 elapsed time 09:12:30
  214.  
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