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Apr 2nd, 2025
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  1. Tue Mar 11 06:26:57 2025
  2. Tue Mar 11 06:26:57 2025
  3. Tue Mar 11 06:26:57 2025 Msieve v. 1.54 (SVN unknown)
  4. Tue Mar 11 06:26:57 2025 random seeds: 82a239b1 62e17025
  5. Tue Mar 11 06:26:57 2025 factoring 2275902542990000907630076857614943609474615567107822350701874646987072045966978539097221704251315537716453263596767876234487118008584169226083690343688202898042818109446172113699690499846241441821459149198956364833005892424286522299339 (235 digits)
  6. Tue Mar 11 06:26:58 2025 no P-1/P+1/ECM available, skipping
  7. Tue Mar 11 06:26:58 2025 commencing number field sieve (235-digit input)
  8. Tue Mar 11 06:26:58 2025 R0: 13156861201545010167585366352758817168051
  9. Tue Mar 11 06:26:58 2025 R1: -1
  10. Tue Mar 11 06:26:58 2025 A0: -1
  11. Tue Mar 11 06:26:58 2025 A1: 0
  12. Tue Mar 11 06:26:58 2025 A2: 0
  13. Tue Mar 11 06:26:58 2025 A3: 0
  14. Tue Mar 11 06:26:58 2025 A4: 0
  15. Tue Mar 11 06:26:58 2025 A5: 0
  16. Tue Mar 11 06:26:58 2025 A6: 538651
  17. Tue Mar 11 06:26:58 2025 skew 0.14, size 3.148e-12, alpha -2.200, combined = 2.771e-13 rroots = 2
  18. Tue Mar 11 06:26:58 2025
  19. Tue Mar 11 06:26:58 2025 commencing relation filtering
  20. Tue Mar 11 06:26:58 2025 setting target matrix density to 120.0
  21. Tue Mar 11 06:26:58 2025 estimated available RAM is 15954.4 MB
  22. Tue Mar 11 06:26:58 2025 commencing duplicate removal, pass 1
  23. Tue Mar 11 06:57:45 2025 skipped 1258 relations with b > 2^32
  24. Tue Mar 11 06:57:45 2025 skipped 1 relations with composite factors
  25. Tue Mar 11 06:57:45 2025 found 7867587 hash collisions in 189193677 relations
  26. Tue Mar 11 06:58:08 2025 added 1218694 free relations
  27. Tue Mar 11 06:58:08 2025 commencing duplicate removal, pass 2
  28. Tue Mar 11 06:59:51 2025 found 0 duplicates and 190412371 unique relations
  29. Tue Mar 11 06:59:51 2025 memory use: 522.4 MB
  30. Tue Mar 11 06:59:52 2025 reading ideals above 143851520
  31. Tue Mar 11 06:59:52 2025 commencing singleton removal, initial pass
  32. Tue Mar 11 07:20:53 2025 memory use: 3012.0 MB
  33. Tue Mar 11 07:20:53 2025 reading all ideals from disk
  34. Tue Mar 11 07:21:02 2025 memory use: 3319.0 MB
  35. Tue Mar 11 07:21:17 2025 commencing in-memory singleton removal
  36. Tue Mar 11 07:21:30 2025 begin with 190412371 relations and 158484350 unique ideals
  37. Tue Mar 11 07:24:10 2025 reduce to 123731457 relations and 85187576 ideals in 14 passes
  38. Tue Mar 11 07:24:10 2025 max relations containing the same ideal: 39
  39. Tue Mar 11 07:24:21 2025 reading ideals above 720000
  40. Tue Mar 11 07:24:21 2025 commencing singleton removal, initial pass
  41. Tue Mar 11 07:45:35 2025 memory use: 2756.0 MB
  42. Tue Mar 11 07:45:35 2025 reading all ideals from disk
  43. Tue Mar 11 07:45:49 2025 memory use: 4832.5 MB
  44. Tue Mar 11 07:46:12 2025 keeping 100805429 ideals with weight <= 200, target excess is 614837
  45. Tue Mar 11 07:46:36 2025 commencing in-memory singleton removal
  46. Tue Mar 11 07:46:55 2025 begin with 123731457 relations and 100805429 unique ideals
  47. Tue Mar 11 07:48:50 2025 reduce to 123729365 relations and 100803336 ideals in 7 passes
  48. Tue Mar 11 07:48:50 2025 max relations containing the same ideal: 200
  49. Tue Mar 11 07:50:32 2025 removing 10859075 relations and 8859075 ideals in 2000000 cliques
  50. Tue Mar 11 07:50:38 2025 commencing in-memory singleton removal
  51. Tue Mar 11 07:50:53 2025 begin with 112870290 relations and 100803336 unique ideals
  52. Tue Mar 11 07:52:42 2025 reduce to 112114844 relations and 91173123 ideals in 9 passes
  53. Tue Mar 11 07:52:42 2025 max relations containing the same ideal: 196
  54. Tue Mar 11 07:54:00 2025 removing 8321488 relations and 6321488 ideals in 2000000 cliques
  55. Tue Mar 11 07:54:06 2025 commencing in-memory singleton removal
  56. Tue Mar 11 07:54:17 2025 begin with 103793356 relations and 91173123 unique ideals
  57. Tue Mar 11 07:55:42 2025 reduce to 103284084 relations and 84332999 ideals in 8 passes
  58. Tue Mar 11 07:55:42 2025 max relations containing the same ideal: 187
  59. Tue Mar 11 07:56:49 2025 removing 7582491 relations and 5582491 ideals in 2000000 cliques
  60. Tue Mar 11 07:56:54 2025 commencing in-memory singleton removal
  61. Tue Mar 11 07:57:05 2025 begin with 95701593 relations and 84332999 unique ideals
  62. Tue Mar 11 07:58:11 2025 reduce to 95248551 relations and 78289044 ideals in 7 passes
  63. Tue Mar 11 07:58:11 2025 max relations containing the same ideal: 179
  64. Tue Mar 11 07:59:12 2025 removing 7206748 relations and 5206748 ideals in 2000000 cliques
  65. Tue Mar 11 07:59:18 2025 commencing in-memory singleton removal
  66. Tue Mar 11 07:59:27 2025 begin with 88041803 relations and 78289044 unique ideals
  67. Tue Mar 11 08:00:37 2025 reduce to 87606648 relations and 72638781 ideals in 8 passes
  68. Tue Mar 11 08:00:37 2025 max relations containing the same ideal: 172
  69. Tue Mar 11 08:01:28 2025 removing 6987633 relations and 4987633 ideals in 2000000 cliques
  70. Tue Mar 11 08:01:33 2025 commencing in-memory singleton removal
  71. Tue Mar 11 08:01:41 2025 begin with 80619015 relations and 72638781 unique ideals
  72. Tue Mar 11 08:02:33 2025 reduce to 80187163 relations and 67210596 ideals in 7 passes
  73. Tue Mar 11 08:02:33 2025 max relations containing the same ideal: 162
  74. Tue Mar 11 08:03:22 2025 removing 6848686 relations and 4848686 ideals in 2000000 cliques
  75. Tue Mar 11 08:03:26 2025 commencing in-memory singleton removal
  76. Tue Mar 11 08:03:34 2025 begin with 73338477 relations and 67210596 unique ideals
  77. Tue Mar 11 08:04:32 2025 reduce to 72894411 relations and 61908048 ideals in 8 passes
  78. Tue Mar 11 08:04:32 2025 max relations containing the same ideal: 153
  79. Tue Mar 11 08:05:17 2025 removing 6763349 relations and 4763349 ideals in 2000000 cliques
  80. Tue Mar 11 08:05:21 2025 commencing in-memory singleton removal
  81. Tue Mar 11 08:05:28 2025 begin with 66131062 relations and 61908048 unique ideals
  82. Tue Mar 11 08:06:13 2025 reduce to 65664386 relations and 56666943 ideals in 7 passes
  83. Tue Mar 11 08:06:13 2025 max relations containing the same ideal: 141
  84. Tue Mar 11 08:06:54 2025 removing 6710416 relations and 4710416 ideals in 2000000 cliques
  85. Tue Mar 11 08:06:58 2025 commencing in-memory singleton removal
  86. Tue Mar 11 08:07:05 2025 begin with 58953970 relations and 56666943 unique ideals
  87. Tue Mar 11 08:07:50 2025 reduce to 58451964 relations and 51441346 ideals in 8 passes
  88. Tue Mar 11 08:07:50 2025 max relations containing the same ideal: 132
  89. Tue Mar 11 08:08:26 2025 removing 6692410 relations and 4692410 ideals in 2000000 cliques
  90. Tue Mar 11 08:08:30 2025 commencing in-memory singleton removal
  91. Tue Mar 11 08:08:35 2025 begin with 51759554 relations and 51441346 unique ideals
  92. Tue Mar 11 08:09:17 2025 reduce to 51207171 relations and 46180073 ideals in 8 passes
  93. Tue Mar 11 08:09:17 2025 max relations containing the same ideal: 120
  94. Tue Mar 11 08:09:58 2025 removing 6694232 relations and 4694232 ideals in 2000000 cliques
  95. Tue Mar 11 08:10:02 2025 commencing in-memory singleton removal
  96. Tue Mar 11 08:10:07 2025 begin with 44512939 relations and 46180073 unique ideals
  97. Tue Mar 11 08:10:45 2025 reduce to 43887039 relations and 40838759 ideals in 8 passes
  98. Tue Mar 11 08:10:45 2025 max relations containing the same ideal: 108
  99. Tue Mar 11 08:11:17 2025 removing 6720050 relations and 4720050 ideals in 2000000 cliques
  100. Tue Mar 11 08:11:20 2025 commencing in-memory singleton removal
  101. Tue Mar 11 08:11:24 2025 begin with 37166989 relations and 40838759 unique ideals
  102. Tue Mar 11 08:12:01 2025 reduce to 36420787 relations and 35343408 ideals in 9 passes
  103. Tue Mar 11 08:12:01 2025 max relations containing the same ideal: 93
  104. Tue Mar 11 08:12:26 2025 removing 1745565 relations and 1381397 ideals in 364168 cliques
  105. Tue Mar 11 08:12:29 2025 commencing in-memory singleton removal
  106. Tue Mar 11 08:12:32 2025 begin with 34675222 relations and 35343408 unique ideals
  107. Tue Mar 11 08:12:54 2025 reduce to 34615274 relations and 33901496 ideals in 7 passes
  108. Tue Mar 11 08:12:54 2025 max relations containing the same ideal: 91
  109. Tue Mar 11 08:13:24 2025 relations with 0 large ideals: 23065
  110. Tue Mar 11 08:13:24 2025 relations with 1 large ideals: 9427
  111. Tue Mar 11 08:13:24 2025 relations with 2 large ideals: 122843
  112. Tue Mar 11 08:13:24 2025 relations with 3 large ideals: 833150
  113. Tue Mar 11 08:13:24 2025 relations with 4 large ideals: 3050559
  114. Tue Mar 11 08:13:24 2025 relations with 5 large ideals: 6687560
  115. Tue Mar 11 08:13:24 2025 relations with 6 large ideals: 9179718
  116. Tue Mar 11 08:13:24 2025 relations with 7+ large ideals: 14708952
  117. Tue Mar 11 08:13:24 2025 commencing 2-way merge
  118. Tue Mar 11 08:13:52 2025 reduce to 22604922 relation sets and 21891144 unique ideals
  119. Tue Mar 11 08:13:52 2025 commencing full merge
  120. Tue Mar 11 08:25:57 2025 memory use: 2885.7 MB
  121. Tue Mar 11 08:26:00 2025 found 10193899 cycles, need 10165344
  122. Tue Mar 11 08:26:05 2025 weight of 10165344 cycles is about 1219892614 (120.01/cycle)
  123. Tue Mar 11 08:26:05 2025 distribution of cycle lengths:
  124. Tue Mar 11 08:26:05 2025 1 relations: 466875
  125. Tue Mar 11 08:26:05 2025 2 relations: 623171
  126. Tue Mar 11 08:26:05 2025 3 relations: 719897
  127. Tue Mar 11 08:26:05 2025 4 relations: 737956
  128. Tue Mar 11 08:26:05 2025 5 relations: 755291
  129. Tue Mar 11 08:26:05 2025 6 relations: 741479
  130. Tue Mar 11 08:26:05 2025 7 relations: 725027
  131. Tue Mar 11 08:26:05 2025 8 relations: 691482
  132. Tue Mar 11 08:26:05 2025 9 relations: 649094
  133. Tue Mar 11 08:26:05 2025 10+ relations: 4055072
  134. Tue Mar 11 08:26:05 2025 heaviest cycle: 28 relations
  135. Tue Mar 11 08:26:10 2025 commencing cycle optimization
  136. Tue Mar 11 08:26:40 2025 start with 90049058 relations
  137. Tue Mar 11 08:31:45 2025 pruned 4114157 relations
  138. Tue Mar 11 08:31:45 2025 memory use: 2364.1 MB
  139. Tue Mar 11 08:31:45 2025 distribution of cycle lengths:
  140. Tue Mar 11 08:31:45 2025 1 relations: 466875
  141. Tue Mar 11 08:31:45 2025 2 relations: 638657
  142. Tue Mar 11 08:31:45 2025 3 relations: 750390
  143. Tue Mar 11 08:31:45 2025 4 relations: 768973
  144. Tue Mar 11 08:31:45 2025 5 relations: 792476
  145. Tue Mar 11 08:31:45 2025 6 relations: 777761
  146. Tue Mar 11 08:31:45 2025 7 relations: 762164
  147. Tue Mar 11 08:31:45 2025 8 relations: 722725
  148. Tue Mar 11 08:31:45 2025 9 relations: 676933
  149. Tue Mar 11 08:31:45 2025 10+ relations: 3808390
  150. Tue Mar 11 08:31:45 2025 heaviest cycle: 28 relations
  151. Tue Mar 11 08:32:26 2025 RelProcTime: 7528
  152. Tue Mar 11 08:32:26 2025 elapsed time 02:05:29
  153. Tue Mar 11 09:51:00 2025
  154. Tue Mar 11 09:51:00 2025
  155. Tue Mar 11 09:51:00 2025 Msieve v. 1.54 (SVN unknown)
  156. Tue Mar 11 09:51:00 2025 random seeds: 66f53056 23b2462f
  157. Tue Mar 11 09:51:00 2025 factoring 2275902542990000907630076857614943609474615567107822350701874646987072045966978539097221704251315537716453263596767876234487118008584169226083690343688202898042818109446172113699690499846241441821459149198956364833005892424286522299339 (235 digits)
  158. Tue Mar 11 09:51:02 2025 no P-1/P+1/ECM available, skipping
  159. Tue Mar 11 09:51:02 2025 commencing number field sieve (235-digit input)
  160. Tue Mar 11 09:51:02 2025 R0: 13156861201545010167585366352758817168051
  161. Tue Mar 11 09:51:02 2025 R1: -1
  162. Tue Mar 11 09:51:02 2025 A0: -1
  163. Tue Mar 11 09:51:02 2025 A1: 0
  164. Tue Mar 11 09:51:02 2025 A2: 0
  165. Tue Mar 11 09:51:02 2025 A3: 0
  166. Tue Mar 11 09:51:02 2025 A4: 0
  167. Tue Mar 11 09:51:02 2025 A5: 0
  168. Tue Mar 11 09:51:02 2025 A6: 538651
  169. Tue Mar 11 09:51:02 2025 skew 0.14, size 3.148e-12, alpha -2.200, combined = 2.771e-13 rroots = 2
  170. Tue Mar 11 09:51:02 2025
  171. Tue Mar 11 09:51:02 2025 commencing linear algebra
  172. Tue Mar 11 09:51:02 2025 using VBITS=256
  173. Tue Mar 11 09:51:02 2025 skipping matrix build
  174. Tue Mar 11 09:51:14 2025 matrix starts at (0, 0)
  175. Tue Mar 11 09:51:17 2025 matrix is 10165021 x 10165178 (4759.7 MB) with weight 1392518481 (136.99/col)
  176. Tue Mar 11 09:51:17 2025 sparse part has weight 1135905272 (111.74/col)
  177. Tue Mar 11 09:51:17 2025 saving the first 240 matrix rows for later
  178. Tue Mar 11 09:51:21 2025 matrix includes 256 packed rows
  179. Tue Mar 11 09:51:27 2025 matrix is 10164781 x 10165178 (4325.9 MB) with weight 1027447749 (101.08/col)
  180. Tue Mar 11 09:51:27 2025 sparse part has weight 971360412 (95.56/col)
  181. Tue Mar 11 09:51:27 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  182. Tue Mar 11 09:51:27 2025 selected card has CUDA arch 8.6
  183. Tue Mar 11 09:53:30 2025 commencing Lanczos iteration
  184. Tue Mar 11 09:53:31 2025 memory use: 10280.4 MB
  185. Tue Mar 11 09:53:52 2025 linear algebra at 0.1%, ETA 7h22m
  186. Tue Mar 11 09:53:53 2025 checkpointing every 1360000 dimensions
  187. Tue Mar 11 17:20:11 2025 lanczos halted after 39826 iterations (dim = 10164776)
  188. Tue Mar 11 17:21:07 2025 recovered 30 nontrivial dependencies
  189. Tue Mar 11 17:21:08 2025 BLanczosTime: 27006
  190. Tue Mar 11 17:21:08 2025
  191. Tue Mar 11 17:21:08 2025 commencing square root phase
  192. Tue Mar 11 17:21:08 2025 handling dependencies 1 to 64
  193. Tue Mar 11 17:21:08 2025 reading relations for dependency 1
  194. Tue Mar 11 17:21:20 2025 read 5082916 cycles
  195. Tue Mar 11 17:21:30 2025 cycles contain 17117760 unique relations
  196. Tue Mar 11 17:22:56 2025 read 17117760 relations
  197. Tue Mar 11 17:24:32 2025 multiplying 17117760 relations
  198. Tue Mar 11 17:43:38 2025 multiply complete, coefficients have about 724.49 million bits
  199. Tue Mar 11 17:43:40 2025 initial square root is modulo 3161131
  200. Tue Mar 11 18:05:06 2025 GCD is N, no factor found
  201. Tue Mar 11 18:05:06 2025 reading relations for dependency 2
  202. Tue Mar 11 18:05:18 2025 read 5081835 cycles
  203. Tue Mar 11 18:05:29 2025 cycles contain 17107928 unique relations
  204. Tue Mar 11 18:06:59 2025 read 17107928 relations
  205. Tue Mar 11 18:08:55 2025 multiplying 17107928 relations
  206. Tue Mar 11 18:27:36 2025 multiply complete, coefficients have about 724.08 million bits
  207. Tue Mar 11 18:27:38 2025 initial square root is modulo 3134143
  208. Tue Mar 11 18:49:34 2025 GCD is 1, no factor found
  209. Tue Mar 11 18:49:34 2025 reading relations for dependency 3
  210. Tue Mar 11 18:49:46 2025 read 5084218 cycles
  211. Tue Mar 11 18:49:56 2025 cycles contain 17121852 unique relations
  212. Tue Mar 11 18:51:23 2025 read 17121852 relations
  213. Tue Mar 11 18:52:59 2025 multiplying 17121852 relations
  214. Tue Mar 11 19:11:58 2025 multiply complete, coefficients have about 724.67 million bits
  215. Tue Mar 11 19:12:00 2025 initial square root is modulo 3172441
  216. Tue Mar 11 19:31:44 2025 GCD is 1, no factor found
  217. Tue Mar 11 19:31:44 2025 reading relations for dependency 4
  218. Tue Mar 11 19:31:54 2025 read 5084310 cycles
  219. Tue Mar 11 19:32:02 2025 cycles contain 17125396 unique relations
  220. Tue Mar 11 19:33:22 2025 read 17125396 relations
  221. Tue Mar 11 19:34:48 2025 multiplying 17125396 relations
  222. Tue Mar 11 19:51:56 2025 multiply complete, coefficients have about 724.83 million bits
  223. Tue Mar 11 19:51:58 2025 initial square root is modulo 3182653
  224. Tue Mar 11 20:10:57 2025 sqrtTime: 10189
  225. Tue Mar 11 20:10:57 2025 p116 factor: 10606389715905625686797454573116966952108126216722878003125988081234788737123264288684418166268847871569210537713947
  226. Tue Mar 11 20:10:57 2025 p120 factor: 214578438464975182360938579190247240849284022181413233947716871122747266584287555124156331354738052220531302531034673937
  227. Tue Mar 11 20:10:57 2025 elapsed time 10:19:57
  228.  
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