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Nov 14th, 2024
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  1. Thu Nov 14 15:36:27 2024
  2. Thu Nov 14 15:36:27 2024
  3. Thu Nov 14 15:36:27 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Nov 14 15:36:27 2024 random seeds: 1567bb82 f4fdb819
  5. Thu Nov 14 15:36:27 2024 MPI process 0 of 1
  6. Thu Nov 14 15:36:27 2024 Using 32 OpenMP threads
  7. Thu Nov 14 15:36:27 2024 factoring 3907772547542488414081700143069933357040215654093963644281523418036270890573218482853719477431402090799953699271455285386141509120108701002500150353059921824687 (160 digits)
  8. Thu Nov 14 15:36:27 2024 searching for 15-digit factors
  9. Thu Nov 14 15:36:27 2024 commencing number field sieve (160-digit input)
  10. Thu Nov 14 15:36:27 2024 R0: -11563612036162439121672669212355
  11. Thu Nov 14 15:36:27 2024 R1: 99064574916260671
  12. Thu Nov 14 15:36:27 2024 A0: -1168839909567576369108777271570180078208
  13. Thu Nov 14 15:36:27 2024 A1: -1497151928710062199603059648806476
  14. Thu Nov 14 15:36:27 2024 A2: -112167551765970425625635762
  15. Thu Nov 14 15:36:27 2024 A3: 2946415418350333531
  16. Thu Nov 14 15:36:27 2024 A4: -452133826940
  17. Thu Nov 14 15:36:27 2024 A5: 18900
  18. Thu Nov 14 15:36:27 2024 skew 15203036.33, size 1.602e-15, alpha -7.408, combined = 1.506e-12 rroots = 3
  19. Thu Nov 14 15:36:27 2024
  20. Thu Nov 14 15:36:27 2024 commencing relation filtering
  21. Thu Nov 14 15:36:27 2024 setting target matrix density to 130.0
  22. Thu Nov 14 15:36:27 2024 estimated available RAM is 257736.5 MB
  23. Thu Nov 14 15:36:27 2024 commencing duplicate removal, pass 1
  24. Thu Nov 14 15:40:03 2024 error -1 reading relation 112379690
  25. Thu Nov 14 15:40:53 2024 skipped 8 malformed relations
  26. Thu Nov 14 15:40:53 2024 found 25902195 hash collisions in 135479694 relations
  27. Thu Nov 14 15:41:27 2024 added 121724 free relations
  28. Thu Nov 14 15:41:27 2024 commencing duplicate removal, pass 2
  29. Thu Nov 14 15:44:48 2024 found 24268445 duplicates and 111332973 unique relations
  30. Thu Nov 14 15:44:48 2024 memory use: 724.8 MB
  31. Thu Nov 14 15:44:48 2024 reading ideals above 720000
  32. Thu Nov 14 15:44:49 2024 commencing singleton removal, initial pass
  33. Thu Nov 14 15:53:24 2024 memory use: 2756.0 MB
  34. Thu Nov 14 15:53:24 2024 reading all ideals from disk
  35. Thu Nov 14 15:53:27 2024 memory use: 4990.1 MB
  36. Thu Nov 14 15:53:38 2024 keeping 92459088 ideals with weight <= 200, target excess is 583956
  37. Thu Nov 14 15:53:55 2024 commencing in-memory singleton removal
  38. Thu Nov 14 15:53:57 2024 begin with 111332973 relations and 92459088 unique ideals
  39. Thu Nov 14 15:54:04 2024 reduce to 80173074 relations and 58688741 ideals in 11 passes
  40. Thu Nov 14 15:54:04 2024 max relations containing the same ideal: 170
  41. Thu Nov 14 15:54:34 2024 removing 7903169 relations and 5903169 ideals in 2000000 cliques
  42. Thu Nov 14 15:54:38 2024 commencing in-memory singleton removal
  43. Thu Nov 14 15:54:40 2024 begin with 72269905 relations and 58688741 unique ideals
  44. Thu Nov 14 15:54:44 2024 reduce to 71658397 relations and 52155298 ideals in 7 passes
  45. Thu Nov 14 15:54:44 2024 max relations containing the same ideal: 162
  46. Thu Nov 14 15:55:15 2024 removing 6285653 relations and 4285653 ideals in 2000000 cliques
  47. Thu Nov 14 15:55:18 2024 commencing in-memory singleton removal
  48. Thu Nov 14 15:55:19 2024 begin with 65372744 relations and 52155298 unique ideals
  49. Thu Nov 14 15:55:23 2024 reduce to 64953048 relations and 47438472 ideals in 7 passes
  50. Thu Nov 14 15:55:23 2024 max relations containing the same ideal: 150
  51. Thu Nov 14 15:55:46 2024 removing 5861809 relations and 3861809 ideals in 2000000 cliques
  52. Thu Nov 14 15:55:49 2024 commencing in-memory singleton removal
  53. Thu Nov 14 15:55:49 2024 begin with 59091239 relations and 47438472 unique ideals
  54. Thu Nov 14 15:55:52 2024 reduce to 58722289 relations and 43197378 ideals in 7 passes
  55. Thu Nov 14 15:55:52 2024 max relations containing the same ideal: 139
  56. Thu Nov 14 15:56:11 2024 removing 5642247 relations and 3642247 ideals in 2000000 cliques
  57. Thu Nov 14 15:56:13 2024 commencing in-memory singleton removal
  58. Thu Nov 14 15:56:14 2024 begin with 53080042 relations and 43197378 unique ideals
  59. Thu Nov 14 15:56:16 2024 reduce to 52727567 relations and 39191890 ideals in 7 passes
  60. Thu Nov 14 15:56:16 2024 max relations containing the same ideal: 129
  61. Thu Nov 14 15:56:41 2024 removing 5505300 relations and 3505300 ideals in 2000000 cliques
  62. Thu Nov 14 15:56:45 2024 commencing in-memory singleton removal
  63. Thu Nov 14 15:56:47 2024 begin with 47222267 relations and 39191890 unique ideals
  64. Thu Nov 14 15:56:48 2024 reduce to 46867979 relations and 35320690 ideals in 6 passes
  65. Thu Nov 14 15:56:48 2024 max relations containing the same ideal: 120
  66. Thu Nov 14 15:57:05 2024 removing 5416650 relations and 3416650 ideals in 2000000 cliques
  67. Thu Nov 14 15:57:07 2024 commencing in-memory singleton removal
  68. Thu Nov 14 15:57:08 2024 begin with 41451329 relations and 35320690 unique ideals
  69. Thu Nov 14 15:57:10 2024 reduce to 41084150 relations and 31523587 ideals in 7 passes
  70. Thu Nov 14 15:57:10 2024 max relations containing the same ideal: 112
  71. Thu Nov 14 15:57:27 2024 removing 5355578 relations and 3355578 ideals in 2000000 cliques
  72. Thu Nov 14 15:57:30 2024 commencing in-memory singleton removal
  73. Thu Nov 14 15:57:31 2024 begin with 35728572 relations and 31523587 unique ideals
  74. Thu Nov 14 15:57:33 2024 reduce to 35336408 relations and 27759975 ideals in 7 passes
  75. Thu Nov 14 15:57:33 2024 max relations containing the same ideal: 101
  76. Thu Nov 14 15:57:50 2024 removing 5318453 relations and 3318453 ideals in 2000000 cliques
  77. Thu Nov 14 15:57:52 2024 commencing in-memory singleton removal
  78. Thu Nov 14 15:57:53 2024 begin with 30017955 relations and 27759975 unique ideals
  79. Thu Nov 14 15:57:54 2024 reduce to 29581250 relations and 23984713 ideals in 6 passes
  80. Thu Nov 14 15:57:54 2024 max relations containing the same ideal: 89
  81. Thu Nov 14 15:58:08 2024 removing 5292253 relations and 3292253 ideals in 2000000 cliques
  82. Thu Nov 14 15:58:10 2024 commencing in-memory singleton removal
  83. Thu Nov 14 15:58:10 2024 begin with 24288997 relations and 23984713 unique ideals
  84. Thu Nov 14 15:58:12 2024 reduce to 23782893 relations and 20158643 ideals in 7 passes
  85. Thu Nov 14 15:58:12 2024 max relations containing the same ideal: 81
  86. Thu Nov 14 15:58:22 2024 removing 5281474 relations and 3281474 ideals in 2000000 cliques
  87. Thu Nov 14 15:58:24 2024 commencing in-memory singleton removal
  88. Thu Nov 14 15:58:24 2024 begin with 18501419 relations and 20158643 unique ideals
  89. Thu Nov 14 15:58:25 2024 reduce to 17881596 relations and 16214928 ideals in 8 passes
  90. Thu Nov 14 15:58:25 2024 max relations containing the same ideal: 66
  91. Thu Nov 14 15:58:33 2024 removing 2913944 relations and 1924665 ideals in 989279 cliques
  92. Thu Nov 14 15:58:34 2024 commencing in-memory singleton removal
  93. Thu Nov 14 15:58:34 2024 begin with 14967652 relations and 16214928 unique ideals
  94. Thu Nov 14 15:58:35 2024 reduce to 14634499 relations and 13940446 ideals in 7 passes
  95. Thu Nov 14 15:58:35 2024 max relations containing the same ideal: 60
  96. Thu Nov 14 15:58:42 2024 removing 95031 relations and 78367 ideals in 16664 cliques
  97. Thu Nov 14 15:58:43 2024 commencing in-memory singleton removal
  98. Thu Nov 14 15:58:43 2024 begin with 14539468 relations and 13940446 unique ideals
  99. Thu Nov 14 15:58:43 2024 reduce to 14539015 relations and 13861626 ideals in 4 passes
  100. Thu Nov 14 15:58:43 2024 max relations containing the same ideal: 59
  101. Thu Nov 14 15:58:46 2024 relations with 0 large ideals: 1863
  102. Thu Nov 14 15:58:46 2024 relations with 1 large ideals: 16586
  103. Thu Nov 14 15:58:46 2024 relations with 2 large ideals: 203629
  104. Thu Nov 14 15:58:46 2024 relations with 3 large ideals: 1023288
  105. Thu Nov 14 15:58:46 2024 relations with 4 large ideals: 2652670
  106. Thu Nov 14 15:58:46 2024 relations with 5 large ideals: 3966271
  107. Thu Nov 14 15:58:46 2024 relations with 6 large ideals: 3663638
  108. Thu Nov 14 15:58:46 2024 relations with 7+ large ideals: 3011070
  109. Thu Nov 14 15:58:46 2024 commencing 2-way merge
  110. Thu Nov 14 15:58:55 2024 reduce to 9907981 relation sets and 9230592 unique ideals
  111. Thu Nov 14 15:58:55 2024 commencing full merge
  112. Thu Nov 14 16:02:18 2024 memory use: 1168.2 MB
  113. Thu Nov 14 16:02:18 2024 found 4386128 cycles, need 4336792
  114. Thu Nov 14 16:02:19 2024 weight of 4336792 cycles is about 564006328 (130.05/cycle)
  115. Thu Nov 14 16:02:19 2024 distribution of cycle lengths:
  116. Thu Nov 14 16:02:19 2024 1 relations: 76017
  117. Thu Nov 14 16:02:19 2024 2 relations: 197386
  118. Thu Nov 14 16:02:19 2024 3 relations: 265383
  119. Thu Nov 14 16:02:19 2024 4 relations: 298081
  120. Thu Nov 14 16:02:19 2024 5 relations: 325529
  121. Thu Nov 14 16:02:19 2024 6 relations: 333908
  122. Thu Nov 14 16:02:19 2024 7 relations: 336435
  123. Thu Nov 14 16:02:19 2024 8 relations: 325677
  124. Thu Nov 14 16:02:19 2024 9 relations: 308278
  125. Thu Nov 14 16:02:19 2024 10+ relations: 1870098
  126. Thu Nov 14 16:02:20 2024 heaviest cycle: 28 relations
  127. Thu Nov 14 16:02:20 2024 commencing cycle optimization
  128. Thu Nov 14 16:02:28 2024 start with 40537007 relations
  129. Thu Nov 14 16:03:43 2024 pruned 2293801 relations
  130. Thu Nov 14 16:03:43 2024 memory use: 1018.2 MB
  131. Thu Nov 14 16:03:43 2024 distribution of cycle lengths:
  132. Thu Nov 14 16:03:43 2024 1 relations: 76017
  133. Thu Nov 14 16:03:43 2024 2 relations: 204010
  134. Thu Nov 14 16:03:43 2024 3 relations: 279237
  135. Thu Nov 14 16:03:43 2024 4 relations: 314699
  136. Thu Nov 14 16:03:43 2024 5 relations: 347453
  137. Thu Nov 14 16:03:43 2024 6 relations: 356469
  138. Thu Nov 14 16:03:43 2024 7 relations: 361437
  139. Thu Nov 14 16:03:43 2024 8 relations: 347858
  140. Thu Nov 14 16:03:43 2024 9 relations: 328142
  141. Thu Nov 14 16:03:43 2024 10+ relations: 1721470
  142. Thu Nov 14 16:03:43 2024 heaviest cycle: 28 relations
  143. Thu Nov 14 16:03:48 2024 RelProcTime: 1641
  144. Thu Nov 14 16:03:48 2024 elapsed time 00:27:21
  145. Thu Nov 14 16:04:39 2024
  146. Thu Nov 14 16:04:39 2024
  147. Thu Nov 14 16:04:39 2024 Msieve v. 1.54 (SVN Unversioned directory)
  148. Thu Nov 14 16:04:39 2024 random seeds: 7106658b be7acad7
  149. Thu Nov 14 16:04:39 2024 MPI process 0 of 1
  150. Thu Nov 14 16:04:39 2024 Using 64 OpenMP threads
  151. Thu Nov 14 16:04:39 2024 factoring 3907772547542488414081700143069933357040215654093963644281523418036270890573218482853719477431402090799953699271455285386141509120108701002500150353059921824687 (160 digits)
  152. Thu Nov 14 16:04:39 2024 searching for 15-digit factors
  153. Thu Nov 14 16:04:39 2024 commencing number field sieve (160-digit input)
  154. Thu Nov 14 16:04:39 2024 R0: -11563612036162439121672669212355
  155. Thu Nov 14 16:04:39 2024 R1: 99064574916260671
  156. Thu Nov 14 16:04:39 2024 A0: -1168839909567576369108777271570180078208
  157. Thu Nov 14 16:04:39 2024 A1: -1497151928710062199603059648806476
  158. Thu Nov 14 16:04:39 2024 A2: -112167551765970425625635762
  159. Thu Nov 14 16:04:39 2024 A3: 2946415418350333531
  160. Thu Nov 14 16:04:39 2024 A4: -452133826940
  161. Thu Nov 14 16:04:39 2024 A5: 18900
  162. Thu Nov 14 16:04:39 2024 skew 15203036.33, size 1.602e-15, alpha -7.408, combined = 1.506e-12 rroots = 3
  163. Thu Nov 14 16:04:39 2024
  164. Thu Nov 14 16:04:39 2024 commencing linear algebra
  165. Thu Nov 14 16:04:39 2024 using VBITS=256
  166. Thu Nov 14 16:04:39 2024 initialized process (0,0) of 1 x 1 grid
  167. Thu Nov 14 16:04:40 2024 read 4336792 cycles
  168. Thu Nov 14 16:04:46 2024 cycles contain 14232918 unique relations
  169. Thu Nov 14 16:06:30 2024 read 14232918 relations
  170. Thu Nov 14 16:06:31 2024 using 20 quadratic characters above 4294917295
  171. Thu Nov 14 16:06:32 2024 building initial matrix
  172. Thu Nov 14 16:09:12 2024 memory use: 2000.2 MB
  173. Thu Nov 14 16:09:15 2024 read 4336792 cycles
  174. Thu Nov 14 16:09:16 2024 matrix is 4336613 x 4336792 (2160.7 MB) with weight 666574792 (153.70/col)
  175. Thu Nov 14 16:09:16 2024 sparse part has weight 514381657 (118.61/col)
  176. Thu Nov 14 16:10:00 2024 filtering completed in 2 passes
  177. Thu Nov 14 16:10:00 2024 matrix is 4336488 x 4336666 (2160.7 MB) with weight 666566042 (153.70/col)
  178. Thu Nov 14 16:10:00 2024 sparse part has weight 514377746 (118.61/col)
  179. Thu Nov 14 16:10:25 2024 matrix starts at (0, 0)
  180. Thu Nov 14 16:10:26 2024 matrix is 4336488 x 4336666 (2160.7 MB) with weight 666566042 (153.70/col)
  181. Thu Nov 14 16:10:26 2024 sparse part has weight 514377746 (118.61/col)
  182. Thu Nov 14 16:10:26 2024 saving the first 240 matrix rows for later
  183. Thu Nov 14 16:10:27 2024 matrix includes 256 packed rows
  184. Thu Nov 14 16:10:28 2024 matrix is 4336248 x 4336666 (1925.9 MB) with weight 467270389 (107.75/col)
  185. Thu Nov 14 16:10:28 2024 sparse part has weight 435468951 (100.42/col)
  186. Thu Nov 14 16:10:28 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  187. Thu Nov 14 16:10:38 2024 commencing Lanczos iteration (64 threads)
  188. Thu Nov 14 16:10:38 2024 memory use: 2728.8 MB
  189. Thu Nov 14 16:11:21 2024 linear algebra at 0.7%, ETA 1h38m
  190. Thu Nov 14 16:12:18 2024 checking every 40000 dimensions, checkpointing every 2800000 dimensions
  191. Thu Nov 14 17:40:51 2024 lanczos halted after 16991 iterations (dim = 4336247)
  192. Thu Nov 14 17:41:08 2024 recovered 33 nontrivial dependencies
  193. Thu Nov 14 17:41:08 2024 BLanczosTime: 5789
  194. Thu Nov 14 17:41:08 2024
  195. Thu Nov 14 17:41:08 2024 commencing square root phase
  196. Thu Nov 14 17:41:08 2024 reading relations for dependency 1
  197. Thu Nov 14 17:41:09 2024 read 2168905 cycles
  198. Thu Nov 14 17:41:12 2024 cycles contain 7115870 unique relations
  199. Thu Nov 14 17:42:54 2024 read 7115870 relations
  200. Thu Nov 14 17:43:18 2024 multiplying 7115870 relations
  201. Thu Nov 14 17:43:56 2024 multiply complete, coefficients have about 362.13 million bits
  202. Thu Nov 14 17:43:57 2024 initial square root is modulo 3146657
  203. Thu Nov 14 17:45:46 2024 sqrtTime: 278
  204. Thu Nov 14 17:45:46 2024 p54 factor: 719013961905438091168161313490174860390927581235613399
  205. Thu Nov 14 17:45:46 2024 p106 factor: 5434904959545727710605946719415103639449393887434996077614810186349359907476537654836250594723621964449513
  206. Thu Nov 14 17:45:46 2024 elapsed time 01:41:07
  207.  
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