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May 15th, 2024
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  1. Wed May 15 00:27:05 2024 Msieve v. 1.54 (SVN Unversioned directory)
  2. Wed May 15 00:27:05 2024 random seeds: fe010cbd b34291af
  3. Wed May 15 00:27:05 2024 Using 32 OpenMP threads
  4. Wed May 15 00:27:05 2024 factoring 443435756102708600284415123655206776393433335752675942194809122019101918686082570903564633571485464007814345700184603094770708446366705473770653810421283653268493 (162 digits)
  5. Wed May 15 00:27:06 2024 searching for 15-digit factors
  6. Wed May 15 00:27:06 2024 commencing number field sieve (162-digit input)
  7. Wed May 15 00:27:06 2024 R0: -33318183547775725056693796106974
  8. Wed May 15 00:27:06 2024 R1: 109688736056736641
  9. Wed May 15 00:27:06 2024 A0: 781731304231340779614814640200150351405095
  10. Wed May 15 00:27:06 2024 A1: 77379585134600929601222173678945247
  11. Wed May 15 00:27:06 2024 A2: -6715422776195352847528579381
  12. Wed May 15 00:27:06 2024 A3: -91689498384454582111
  13. Wed May 15 00:27:06 2024 A4: 2809123245150
  14. Wed May 15 00:27:06 2024 A5: 10800
  15. Wed May 15 00:27:06 2024 skew 49923733.69, size 8.651e-16, alpha -8.461, combined = 1.028e-12 rroots = 5
  16. Wed May 15 00:27:06 2024
  17. Wed May 15 00:27:06 2024 commencing relation filtering
  18. Wed May 15 00:27:06 2024 setting target matrix density to 130.0
  19. Wed May 15 00:27:06 2024 estimated available RAM is 515996.3 MB
  20. Wed May 15 00:27:06 2024 commencing duplicate removal, pass 1
  21. Wed May 15 00:27:35 2024 error -1 reading relation 14401072
  22. Wed May 15 00:28:40 2024 error -1 reading relation 47139196
  23. Wed May 15 00:28:42 2024 error -1 reading relation 47761668
  24. Wed May 15 00:28:51 2024 error -1 reading relation 52060052
  25. Wed May 15 00:28:51 2024 error -1 reading relation 52165558
  26. Wed May 15 00:29:04 2024 error -1 reading relation 57908087
  27. Wed May 15 00:29:14 2024 error -1 reading relation 62784727
  28. Wed May 15 00:29:21 2024 error -1 reading relation 67264231
  29. Wed May 15 00:30:34 2024 error -1 reading relation 110418424
  30. Wed May 15 00:30:39 2024 error -1 reading relation 113228737
  31. Wed May 15 00:30:41 2024 error -1 reading relation 114358090
  32. Wed May 15 00:31:01 2024 skipped 2 relations with composite factors
  33. Wed May 15 00:31:01 2024 skipped 58 malformed relations
  34. Wed May 15 00:31:01 2024 found 27090040 hash collisions in 127173851 relations
  35. Wed May 15 00:31:22 2024 commencing duplicate removal, pass 2
  36. Wed May 15 00:34:25 2024 found 26984309 duplicates and 100189542 unique relations
  37. Wed May 15 00:34:25 2024 memory use: 724.8 MB
  38. Wed May 15 00:34:25 2024 reading ideals above 720000
  39. Wed May 15 00:34:25 2024 commencing singleton removal, initial pass
  40. Wed May 15 00:41:23 2024 memory use: 2756.0 MB
  41. Wed May 15 00:41:23 2024 reading all ideals from disk
  42. Wed May 15 00:41:25 2024 memory use: 4511.2 MB
  43. Wed May 15 00:41:38 2024 keeping 90359392 ideals with weight <= 200, target excess is 525066
  44. Wed May 15 00:41:52 2024 commencing in-memory singleton removal
  45. Wed May 15 00:41:54 2024 begin with 100189542 relations and 90359392 unique ideals
  46. Wed May 15 00:42:03 2024 reduce to 65828756 relations and 52578748 ideals in 13 passes
  47. Wed May 15 00:42:03 2024 max relations containing the same ideal: 161
  48. Wed May 15 00:42:40 2024 removing 8738198 relations and 6738198 ideals in 2000000 cliques
  49. Wed May 15 00:42:44 2024 commencing in-memory singleton removal
  50. Wed May 15 00:42:46 2024 begin with 57090558 relations and 52578748 unique ideals
  51. Wed May 15 00:42:50 2024 reduce to 56203981 relations and 44921317 ideals in 10 passes
  52. Wed May 15 00:42:50 2024 max relations containing the same ideal: 143
  53. Wed May 15 00:43:16 2024 removing 6897215 relations and 4897215 ideals in 2000000 cliques
  54. Wed May 15 00:43:19 2024 commencing in-memory singleton removal
  55. Wed May 15 00:43:20 2024 begin with 49306766 relations and 44921317 unique ideals
  56. Wed May 15 00:43:23 2024 reduce to 48670486 relations and 39365860 ideals in 7 passes
  57. Wed May 15 00:43:23 2024 max relations containing the same ideal: 133
  58. Wed May 15 00:43:39 2024 removing 6405197 relations and 4405197 ideals in 2000000 cliques
  59. Wed May 15 00:43:42 2024 commencing in-memory singleton removal
  60. Wed May 15 00:43:42 2024 begin with 42265289 relations and 39365860 unique ideals
  61. Wed May 15 00:43:45 2024 reduce to 41670031 relations and 34343481 ideals in 8 passes
  62. Wed May 15 00:43:45 2024 max relations containing the same ideal: 122
  63. Wed May 15 00:43:59 2024 removing 6165212 relations and 4165212 ideals in 2000000 cliques
  64. Wed May 15 00:44:02 2024 commencing in-memory singleton removal
  65. Wed May 15 00:44:02 2024 begin with 35504819 relations and 34343481 unique ideals
  66. Wed May 15 00:44:04 2024 reduce to 34896368 relations and 29544265 ideals in 8 passes
  67. Wed May 15 00:44:04 2024 max relations containing the same ideal: 105
  68. Wed May 15 00:44:21 2024 removing 6030503 relations and 4030503 ideals in 2000000 cliques
  69. Wed May 15 00:44:23 2024 commencing in-memory singleton removal
  70. Wed May 15 00:44:23 2024 begin with 28865865 relations and 29544265 unique ideals
  71. Wed May 15 00:44:25 2024 reduce to 28201940 relations and 24817184 ideals in 8 passes
  72. Wed May 15 00:44:25 2024 max relations containing the same ideal: 90
  73. Wed May 15 00:44:39 2024 removing 5940241 relations and 3940241 ideals in 2000000 cliques
  74. Wed May 15 00:44:41 2024 commencing in-memory singleton removal
  75. Wed May 15 00:44:41 2024 begin with 22261699 relations and 24817184 unique ideals
  76. Wed May 15 00:44:42 2024 reduce to 21483041 relations and 20050443 ideals in 9 passes
  77. Wed May 15 00:44:42 2024 max relations containing the same ideal: 76
  78. Wed May 15 00:44:51 2024 removing 2896750 relations and 2073229 ideals in 823521 cliques
  79. Wed May 15 00:44:52 2024 commencing in-memory singleton removal
  80. Wed May 15 00:44:52 2024 begin with 18586291 relations and 20050443 unique ideals
  81. Wed May 15 00:44:53 2024 reduce to 18317251 relations and 17698929 ideals in 8 passes
  82. Wed May 15 00:44:53 2024 max relations containing the same ideal: 72
  83. Wed May 15 00:45:00 2024 removing 63749 relations and 54504 ideals in 9245 cliques
  84. Wed May 15 00:45:01 2024 commencing in-memory singleton removal
  85. Wed May 15 00:45:01 2024 begin with 18253502 relations and 17698929 unique ideals
  86. Wed May 15 00:45:02 2024 reduce to 18253372 relations and 17644295 ideals in 4 passes
  87. Wed May 15 00:45:02 2024 max relations containing the same ideal: 72
  88. Wed May 15 00:45:04 2024 relations with 0 large ideals: 1737
  89. Wed May 15 00:45:04 2024 relations with 1 large ideals: 11096
  90. Wed May 15 00:45:04 2024 relations with 2 large ideals: 146609
  91. Wed May 15 00:45:04 2024 relations with 3 large ideals: 846310
  92. Wed May 15 00:45:04 2024 relations with 4 large ideals: 2562412
  93. Wed May 15 00:45:04 2024 relations with 5 large ideals: 4539638
  94. Wed May 15 00:45:04 2024 relations with 6 large ideals: 4969753
  95. Wed May 15 00:45:04 2024 relations with 7+ large ideals: 5175817
  96. Wed May 15 00:45:04 2024 commencing 2-way merge
  97. Wed May 15 00:45:14 2024 reduce to 12040617 relation sets and 11431540 unique ideals
  98. Wed May 15 00:45:14 2024 commencing full merge
  99. Wed May 15 00:49:46 2024 memory use: 1451.2 MB
  100. Wed May 15 00:49:48 2024 found 5288452 cycles, need 5259740
  101. Wed May 15 00:49:49 2024 weight of 5259740 cycles is about 684576936 (130.15/cycle)
  102. Wed May 15 00:49:49 2024 distribution of cycle lengths:
  103. Wed May 15 00:49:49 2024 1 relations: 126878
  104. Wed May 15 00:49:49 2024 2 relations: 262052
  105. Wed May 15 00:49:49 2024 3 relations: 329595
  106. Wed May 15 00:49:50 2024 4 relations: 355734
  107. Wed May 15 00:49:50 2024 5 relations: 377100
  108. Wed May 15 00:49:50 2024 6 relations: 381428
  109. Wed May 15 00:49:50 2024 7 relations: 381960
  110. Wed May 15 00:49:50 2024 8 relations: 370890
  111. Wed May 15 00:49:50 2024 9 relations: 352411
  112. Wed May 15 00:49:50 2024 10+ relations: 2321692
  113. Wed May 15 00:49:50 2024 heaviest cycle: 28 relations
  114. Wed May 15 00:49:51 2024 commencing cycle optimization
  115. Wed May 15 00:50:04 2024 start with 49905842 relations
  116. Wed May 15 00:52:21 2024 pruned 2626910 relations
  117. Wed May 15 00:52:21 2024 memory use: 1268.5 MB
  118. Wed May 15 00:52:21 2024 distribution of cycle lengths:
  119. Wed May 15 00:52:21 2024 1 relations: 126878
  120. Wed May 15 00:52:21 2024 2 relations: 270271
  121. Wed May 15 00:52:21 2024 3 relations: 345839
  122. Wed May 15 00:52:21 2024 4 relations: 373882
  123. Wed May 15 00:52:21 2024 5 relations: 399532
  124. Wed May 15 00:52:21 2024 6 relations: 404066
  125. Wed May 15 00:52:21 2024 7 relations: 406444
  126. Wed May 15 00:52:21 2024 8 relations: 393362
  127. Wed May 15 00:52:21 2024 9 relations: 372983
  128. Wed May 15 00:52:21 2024 10+ relations: 2166483
  129. Wed May 15 00:52:21 2024 heaviest cycle: 28 relations
  130. Wed May 15 00:52:31 2024 RelProcTime: 1525
  131. Wed May 15 00:52:31 2024 elapsed time 00:25:26
  132. Wed May 15 01:02:43 2024
  133. Wed May 15 01:02:43 2024
  134. Wed May 15 01:02:43 2024 Msieve v. 1.54 (SVN Unversioned directory)
  135. Wed May 15 01:02:43 2024 random seeds: 996ff9ca 8a6d3ee7
  136. Wed May 15 01:02:43 2024 Using 64 OpenMP threads
  137. Wed May 15 01:02:43 2024 factoring 443435756102708600284415123655206776393433335752675942194809122019101918686082570903564633571485464007814345700184603094770708446366705473770653810421283653268493 (162 digits)
  138. Wed May 15 01:02:44 2024 searching for 15-digit factors
  139. Wed May 15 01:02:45 2024 commencing number field sieve (162-digit input)
  140. Wed May 15 01:02:45 2024 R0: -33318183547775725056693796106974
  141. Wed May 15 01:02:45 2024 R1: 109688736056736641
  142. Wed May 15 01:02:45 2024 A0: 781731304231340779614814640200150351405095
  143. Wed May 15 01:02:45 2024 A1: 77379585134600929601222173678945247
  144. Wed May 15 01:02:45 2024 A2: -6715422776195352847528579381
  145. Wed May 15 01:02:45 2024 A3: -91689498384454582111
  146. Wed May 15 01:02:45 2024 A4: 2809123245150
  147. Wed May 15 01:02:45 2024 A5: 10800
  148. Wed May 15 01:02:45 2024 skew 49923733.69, size 8.651e-16, alpha -8.461, combined = 1.028e-12 rroots = 5
  149. Wed May 15 01:02:45 2024
  150. Wed May 15 01:02:45 2024 commencing linear algebra
  151. Wed May 15 01:02:45 2024 using VBITS=256
  152. Wed May 15 01:02:46 2024 read 5259740 cycles
  153. Wed May 15 01:03:03 2024 cycles contain 17942630 unique relations
  154. Wed May 15 01:05:22 2024 read 17942630 relations
  155. Wed May 15 01:05:24 2024 using 20 quadratic characters above 4294917295
  156. Wed May 15 01:05:26 2024 building initial matrix
  157. Wed May 15 01:09:03 2024 memory use: 2534.3 MB
  158. Wed May 15 01:09:06 2024 read 5259740 cycles
  159. Wed May 15 01:09:07 2024 matrix is 5259561 x 5259740 (2640.5 MB) with weight 808997923 (153.81/col)
  160. Wed May 15 01:09:07 2024 sparse part has weight 629084803 (119.60/col)
  161. Wed May 15 01:10:10 2024 filtering completed in 2 passes
  162. Wed May 15 01:10:11 2024 matrix is 5259484 x 5259663 (2640.5 MB) with weight 808994545 (153.81/col)
  163. Wed May 15 01:10:11 2024 sparse part has weight 629084189 (119.61/col)
  164. Wed May 15 01:10:32 2024 matrix starts at (0, 0)
  165. Wed May 15 01:10:33 2024 matrix is 5259484 x 5259663 (2640.5 MB) with weight 808994545 (153.81/col)
  166. Wed May 15 01:10:33 2024 sparse part has weight 629084189 (119.61/col)
  167. Wed May 15 01:10:33 2024 saving the first 240 matrix rows for later
  168. Wed May 15 01:10:34 2024 matrix includes 256 packed rows
  169. Wed May 15 01:10:36 2024 matrix is 5259244 x 5259663 (2374.1 MB) with weight 576010181 (109.51/col)
  170. Wed May 15 01:10:36 2024 sparse part has weight 538213134 (102.33/col)
  171. Wed May 15 01:10:36 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  172. Wed May 15 01:10:47 2024 commencing Lanczos iteration (64 threads)
  173. Wed May 15 01:10:47 2024 memory use: 3187.7 MB
  174. Wed May 15 01:11:38 2024 linear algebra at 0.6%, ETA 2h22m
  175. Wed May 15 01:12:51 2024 checking every 30000 dimensions, checkpointing every 2250000 dimensions
  176. Wed May 15 03:28:19 2024 lanczos halted after 20607 iterations (dim = 5259242)
  177. Wed May 15 03:28:42 2024 recovered 26 nontrivial dependencies
  178. Wed May 15 03:28:42 2024 BLanczosTime: 8757
  179. Wed May 15 03:28:42 2024
  180. Wed May 15 03:28:42 2024 commencing square root phase
  181. Wed May 15 03:28:42 2024 reading relations for dependency 1
  182. Wed May 15 03:28:43 2024 read 2629550 cycles
  183. Wed May 15 03:28:47 2024 cycles contain 8971328 unique relations
  184. Wed May 15 03:30:30 2024 read 8971328 relations
  185. Wed May 15 03:30:59 2024 multiplying 8971328 relations
  186. Wed May 15 03:34:30 2024 multiply complete, coefficients have about 469.31 million bits
  187. Wed May 15 03:34:31 2024 initial square root is modulo 263608141
  188. Wed May 15 03:38:19 2024 GCD is N, no factor found
  189. Wed May 15 03:38:19 2024 reading relations for dependency 2
  190. Wed May 15 03:38:19 2024 read 2629851 cycles
  191. Wed May 15 03:38:24 2024 cycles contain 8968258 unique relations
  192. Wed May 15 03:40:22 2024 read 8968258 relations
  193. Wed May 15 03:40:53 2024 multiplying 8968258 relations
  194. Wed May 15 03:44:59 2024 multiply complete, coefficients have about 469.15 million bits
  195. Wed May 15 03:45:00 2024 initial square root is modulo 261830903
  196. Wed May 15 03:48:17 2024 sqrtTime: 1175
  197. Wed May 15 03:48:17 2024 p76 factor: 2631774984622655522209174978290450332996241570449474580306357529590363500429
  198. Wed May 15 03:48:17 2024 p87 factor: 168493035572449791638965705270757330360056695916932640308925379272757532543113262642817
  199. Wed May 15 03:48:17 2024 elapsed time 02:45:34
  200.  
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