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Sep 30th, 2024
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  1. Sat Sep 28 15:06:12 2024
  2. Sat Sep 28 15:06:12 2024
  3. Sat Sep 28 15:06:12 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Sep 28 15:06:12 2024 random seeds: a654b82b c6ee7646
  5. Sat Sep 28 15:06:12 2024 factoring 59669337668396658000339778154790137548483597362039086395523595148042880241110979549625043538708086361779216031506364767524387510632344588001456896995973505053700156390210361385180599566754830177250585891921365236138015531 (221 digits)
  6. Sat Sep 28 15:06:13 2024 searching for 15-digit factors
  7. Sat Sep 28 15:06:14 2024 commencing number field sieve (221-digit input)
  8. Sat Sep 28 15:06:14 2024 R0: 386511893734834372569688755738658808762
  9. Sat Sep 28 15:06:14 2024 R1: -19659905740741341931
  10. Sat Sep 28 15:06:14 2024 A0: -1
  11. Sat Sep 28 15:06:14 2024 A1: 3
  12. Sat Sep 28 15:06:14 2024 A2: 6
  13. Sat Sep 28 15:06:14 2024 A3: -4
  14. Sat Sep 28 15:06:14 2024 A4: -5
  15. Sat Sep 28 15:06:14 2024 A5: 1
  16. Sat Sep 28 15:06:14 2024 A6: 1
  17. Sat Sep 28 15:06:14 2024 skew 1.00, size 2.127e-11, alpha 3.126, combined = 1.081e-12 rroots = 6
  18. Sat Sep 28 15:06:14 2024
  19. Sat Sep 28 15:06:14 2024 commencing relation filtering
  20. Sat Sep 28 15:06:14 2024 setting target matrix density to 112.0
  21. Sat Sep 28 15:06:14 2024 estimated available RAM is 15954.6 MB
  22. Sat Sep 28 15:06:14 2024 commencing duplicate removal, pass 1
  23. Sat Sep 28 15:27:15 2024 skipped 13 relations with b > 2^32
  24. Sat Sep 28 15:27:15 2024 found 5626460 hash collisions in 113870856 relations
  25. Sat Sep 28 15:27:15 2024 commencing duplicate removal, pass 2
  26. Sat Sep 28 15:28:11 2024 found 0 duplicates and 113870856 unique relations
  27. Sat Sep 28 15:28:11 2024 memory use: 378.4 MB
  28. Sat Sep 28 15:28:11 2024 reading ideals above 85917696
  29. Sat Sep 28 15:28:11 2024 commencing singleton removal, initial pass
  30. Sat Sep 28 15:47:50 2024 memory use: 2756.0 MB
  31. Sat Sep 28 15:47:50 2024 reading all ideals from disk
  32. Sat Sep 28 15:47:54 2024 memory use: 2015.8 MB
  33. Sat Sep 28 15:48:03 2024 commencing in-memory singleton removal
  34. Sat Sep 28 15:48:12 2024 begin with 113870856 relations and 85479783 unique ideals
  35. Sat Sep 28 15:49:46 2024 reduce to 85626379 relations and 55095755 ideals in 12 passes
  36. Sat Sep 28 15:49:46 2024 max relations containing the same ideal: 45
  37. Sat Sep 28 15:49:55 2024 reading ideals above 720000
  38. Sat Sep 28 15:49:56 2024 commencing singleton removal, initial pass
  39. Sat Sep 28 16:08:55 2024 memory use: 1506.0 MB
  40. Sat Sep 28 16:08:55 2024 reading all ideals from disk
  41. Sat Sep 28 16:09:01 2024 memory use: 3250.2 MB
  42. Sat Sep 28 16:09:18 2024 keeping 64660337 ideals with weight <= 200, target excess is 423532
  43. Sat Sep 28 16:09:36 2024 commencing in-memory singleton removal
  44. Sat Sep 28 16:09:50 2024 begin with 85626379 relations and 64660337 unique ideals
  45. Sat Sep 28 16:10:49 2024 reduce to 85626324 relations and 64660282 ideals in 4 passes
  46. Sat Sep 28 16:10:49 2024 max relations containing the same ideal: 200
  47. Sat Sep 28 16:11:57 2024 removing 7743287 relations and 5743287 ideals in 2000000 cliques
  48. Sat Sep 28 16:12:02 2024 commencing in-memory singleton removal
  49. Sat Sep 28 16:12:15 2024 begin with 77883037 relations and 64660282 unique ideals
  50. Sat Sep 28 16:13:50 2024 reduce to 77295028 relations and 58311514 ideals in 7 passes
  51. Sat Sep 28 16:13:50 2024 max relations containing the same ideal: 195
  52. Sat Sep 28 16:14:51 2024 removing 6268105 relations and 4268105 ideals in 2000000 cliques
  53. Sat Sep 28 16:14:56 2024 commencing in-memory singleton removal
  54. Sat Sep 28 16:15:07 2024 begin with 71026923 relations and 58311514 unique ideals
  55. Sat Sep 28 16:16:18 2024 reduce to 70614844 relations and 53620406 ideals in 6 passes
  56. Sat Sep 28 16:16:18 2024 max relations containing the same ideal: 186
  57. Sat Sep 28 16:17:14 2024 removing 5875853 relations and 3875853 ideals in 2000000 cliques
  58. Sat Sep 28 16:17:18 2024 commencing in-memory singleton removal
  59. Sat Sep 28 16:17:28 2024 begin with 64738991 relations and 53620406 unique ideals
  60. Sat Sep 28 16:18:34 2024 reduce to 64365817 relations and 49361103 ideals in 6 passes
  61. Sat Sep 28 16:18:34 2024 max relations containing the same ideal: 175
  62. Sat Sep 28 16:19:25 2024 removing 5687006 relations and 3687006 ideals in 2000000 cliques
  63. Sat Sep 28 16:19:29 2024 commencing in-memory singleton removal
  64. Sat Sep 28 16:19:38 2024 begin with 58678811 relations and 49361103 unique ideals
  65. Sat Sep 28 16:20:35 2024 reduce to 58309580 relations and 45294396 ideals in 6 passes
  66. Sat Sep 28 16:20:35 2024 max relations containing the same ideal: 165
  67. Sat Sep 28 16:21:21 2024 removing 5580700 relations and 3580700 ideals in 2000000 cliques
  68. Sat Sep 28 16:21:25 2024 commencing in-memory singleton removal
  69. Sat Sep 28 16:21:32 2024 begin with 52728880 relations and 45294396 unique ideals
  70. Sat Sep 28 16:22:24 2024 reduce to 52349366 relations and 41322461 ideals in 6 passes
  71. Sat Sep 28 16:22:24 2024 max relations containing the same ideal: 153
  72. Sat Sep 28 16:23:05 2024 removing 5522928 relations and 3522928 ideals in 2000000 cliques
  73. Sat Sep 28 16:23:08 2024 commencing in-memory singleton removal
  74. Sat Sep 28 16:23:15 2024 begin with 46826438 relations and 41322461 unique ideals
  75. Sat Sep 28 16:24:01 2024 reduce to 46418708 relations and 37378018 ideals in 6 passes
  76. Sat Sep 28 16:24:01 2024 max relations containing the same ideal: 146
  77. Sat Sep 28 16:24:38 2024 removing 5502922 relations and 3502922 ideals in 2000000 cliques
  78. Sat Sep 28 16:24:42 2024 commencing in-memory singleton removal
  79. Sat Sep 28 16:24:48 2024 begin with 40915786 relations and 37378018 unique ideals
  80. Sat Sep 28 16:25:34 2024 reduce to 40466402 relations and 33408476 ideals in 7 passes
  81. Sat Sep 28 16:25:34 2024 max relations containing the same ideal: 131
  82. Sat Sep 28 16:26:06 2024 removing 5514717 relations and 3514717 ideals in 2000000 cliques
  83. Sat Sep 28 16:26:09 2024 commencing in-memory singleton removal
  84. Sat Sep 28 16:26:14 2024 begin with 34951685 relations and 33408476 unique ideals
  85. Sat Sep 28 16:26:50 2024 reduce to 34437476 relations and 29357437 ideals in 7 passes
  86. Sat Sep 28 16:26:50 2024 max relations containing the same ideal: 116
  87. Sat Sep 28 16:27:17 2024 removing 5546815 relations and 3546815 ideals in 2000000 cliques
  88. Sat Sep 28 16:27:20 2024 commencing in-memory singleton removal
  89. Sat Sep 28 16:27:23 2024 begin with 28890661 relations and 29357437 unique ideals
  90. Sat Sep 28 16:27:57 2024 reduce to 28287046 relations and 25176370 ideals in 8 passes
  91. Sat Sep 28 16:27:57 2024 max relations containing the same ideal: 104
  92. Sat Sep 28 16:28:19 2024 removing 5593785 relations and 3593785 ideals in 2000000 cliques
  93. Sat Sep 28 16:28:21 2024 commencing in-memory singleton removal
  94. Sat Sep 28 16:28:24 2024 begin with 22693261 relations and 25176370 unique ideals
  95. Sat Sep 28 16:28:48 2024 reduce to 21949291 relations and 20792401 ideals in 8 passes
  96. Sat Sep 28 16:28:48 2024 max relations containing the same ideal: 86
  97. Sat Sep 28 16:29:06 2024 removing 2320213 relations and 1654621 ideals in 665592 cliques
  98. Sat Sep 28 16:29:07 2024 commencing in-memory singleton removal
  99. Sat Sep 28 16:29:10 2024 begin with 19629078 relations and 20792401 unique ideals
  100. Sat Sep 28 16:29:29 2024 reduce to 19416440 relations and 18918901 ideals in 7 passes
  101. Sat Sep 28 16:29:29 2024 max relations containing the same ideal: 79
  102. Sat Sep 28 16:29:50 2024 relations with 0 large ideals: 32434
  103. Sat Sep 28 16:29:50 2024 relations with 1 large ideals: 5764
  104. Sat Sep 28 16:29:50 2024 relations with 2 large ideals: 68330
  105. Sat Sep 28 16:29:50 2024 relations with 3 large ideals: 464221
  106. Sat Sep 28 16:29:50 2024 relations with 4 large ideals: 1707154
  107. Sat Sep 28 16:29:50 2024 relations with 5 large ideals: 3743006
  108. Sat Sep 28 16:29:50 2024 relations with 6 large ideals: 5100504
  109. Sat Sep 28 16:29:50 2024 relations with 7+ large ideals: 8295027
  110. Sat Sep 28 16:29:50 2024 commencing 2-way merge
  111. Sat Sep 28 16:30:08 2024 reduce to 13301683 relation sets and 12804143 unique ideals
  112. Sat Sep 28 16:30:08 2024 commencing full merge
  113. Sat Sep 28 16:38:07 2024 memory use: 1785.8 MB
  114. Sat Sep 28 16:38:09 2024 found 6095958 cycles, need 6074343
  115. Sat Sep 28 16:38:13 2024 weight of 6074343 cycles is about 680578011 (112.04/cycle)
  116. Sat Sep 28 16:38:13 2024 distribution of cycle lengths:
  117. Sat Sep 28 16:38:13 2024 1 relations: 247475
  118. Sat Sep 28 16:38:13 2024 2 relations: 364212
  119. Sat Sep 28 16:38:13 2024 3 relations: 438407
  120. Sat Sep 28 16:38:13 2024 4 relations: 457457
  121. Sat Sep 28 16:38:13 2024 5 relations: 468943
  122. Sat Sep 28 16:38:13 2024 6 relations: 466021
  123. Sat Sep 28 16:38:13 2024 7 relations: 454487
  124. Sat Sep 28 16:38:13 2024 8 relations: 430024
  125. Sat Sep 28 16:38:13 2024 9 relations: 401076
  126. Sat Sep 28 16:38:13 2024 10+ relations: 2346241
  127. Sat Sep 28 16:38:13 2024 heaviest cycle: 28 relations
  128. Sat Sep 28 16:38:15 2024 commencing cycle optimization
  129. Sat Sep 28 16:38:37 2024 start with 53091730 relations
  130. Sat Sep 28 16:41:50 2024 pruned 2636181 relations
  131. Sat Sep 28 16:41:50 2024 memory use: 1355.9 MB
  132. Sat Sep 28 16:41:50 2024 distribution of cycle lengths:
  133. Sat Sep 28 16:41:50 2024 1 relations: 247475
  134. Sat Sep 28 16:41:50 2024 2 relations: 372600
  135. Sat Sep 28 16:41:50 2024 3 relations: 457162
  136. Sat Sep 28 16:41:50 2024 4 relations: 477097
  137. Sat Sep 28 16:41:50 2024 5 relations: 494169
  138. Sat Sep 28 16:41:50 2024 6 relations: 490664
  139. Sat Sep 28 16:41:50 2024 7 relations: 481091
  140. Sat Sep 28 16:41:50 2024 8 relations: 453469
  141. Sat Sep 28 16:41:50 2024 9 relations: 420686
  142. Sat Sep 28 16:41:50 2024 10+ relations: 2179930
  143. Sat Sep 28 16:41:50 2024 heaviest cycle: 28 relations
  144. Sat Sep 28 16:42:06 2024 RelProcTime: 5752
  145. Sat Sep 28 16:42:06 2024 elapsed time 01:35:54
  146. Sat Sep 28 16:43:54 2024
  147. Sat Sep 28 16:43:54 2024
  148. Sat Sep 28 16:43:54 2024 Msieve v. 1.54 (SVN Unversioned directory)
  149. Sat Sep 28 16:43:54 2024 random seeds: 0f08c37f 160670bc
  150. Sat Sep 28 16:43:54 2024 factoring 59669337668396658000339778154790137548483597362039086395523595148042880241110979549625043538708086361779216031506364767524387510632344588001456896995973505053700156390210361385180599566754830177250585891921365236138015531 (221 digits)
  151. Sat Sep 28 16:43:56 2024 searching for 15-digit factors
  152. Sat Sep 28 16:43:56 2024 commencing number field sieve (221-digit input)
  153. Sat Sep 28 16:43:56 2024 R0: 386511893734834372569688755738658808762
  154. Sat Sep 28 16:43:56 2024 R1: -19659905740741341931
  155. Sat Sep 28 16:43:56 2024 A0: -1
  156. Sat Sep 28 16:43:56 2024 A1: 3
  157. Sat Sep 28 16:43:56 2024 A2: 6
  158. Sat Sep 28 16:43:56 2024 A3: -4
  159. Sat Sep 28 16:43:56 2024 A4: -5
  160. Sat Sep 28 16:43:56 2024 A5: 1
  161. Sat Sep 28 16:43:56 2024 A6: 1
  162. Sat Sep 28 16:43:56 2024 skew 1.00, size 2.127e-11, alpha 3.126, combined = 1.081e-12 rroots = 6
  163. Sat Sep 28 16:43:56 2024
  164. Sat Sep 28 16:43:56 2024 commencing linear algebra
  165. Sat Sep 28 16:43:56 2024 using VBITS=512
  166. Sat Sep 28 16:43:57 2024 read 6074343 cycles
  167. Sat Sep 28 16:44:10 2024 cycles contain 19139417 unique relations
  168. Sat Sep 28 16:46:16 2024 read 19139417 relations
  169. Sat Sep 28 16:46:54 2024 using 20 quadratic characters above 4294917295
  170. Sat Sep 28 16:48:28 2024 building initial matrix
  171. Sat Sep 28 16:55:17 2024 memory use: 2374.4 MB
  172. Sat Sep 28 16:55:22 2024 read 6074343 cycles
  173. Sat Sep 28 16:55:24 2024 matrix is 6074166 x 6074343 (2650.7 MB) with weight 752473085 (123.88/col)
  174. Sat Sep 28 16:55:24 2024 sparse part has weight 634111417 (104.39/col)
  175. Sat Sep 28 16:57:19 2024 filtering completed in 2 passes
  176. Sat Sep 28 16:57:20 2024 matrix is 6074044 x 6074186 (2650.6 MB) with weight 752467937 (123.88/col)
  177. Sat Sep 28 16:57:20 2024 sparse part has weight 634109124 (104.39/col)
  178. Sat Sep 28 16:57:46 2024 matrix starts at (0, 0)
  179. Sat Sep 28 16:57:48 2024 matrix is 6074044 x 6074186 (2650.6 MB) with weight 752467937 (123.88/col)
  180. Sat Sep 28 16:57:48 2024 sparse part has weight 634109124 (104.39/col)
  181. Sat Sep 28 16:57:48 2024 saving the first 496 matrix rows for later
  182. Sat Sep 28 16:57:51 2024 matrix includes 512 packed rows
  183. Sat Sep 28 16:58:00 2024 matrix is 6073548 x 6074186 (2516.8 MB) with weight 543793263 (89.53/col)
  184. Sat Sep 28 16:58:00 2024 sparse part has weight 513987375 (84.62/col)
  185. Sat Sep 28 16:58:00 2024 using GPU 0 (NVIDIA GeForce GTX 1660)
  186. Sat Sep 28 16:58:00 2024 selected card has CUDA arch 7.5
  187. Sat Sep 28 16:59:17 2024 commencing Lanczos iteration
  188. Sat Sep 28 16:59:19 2024 memory use: 6980.0 MB
  189. Sat Sep 28 17:05:26 2024 linear algebra at 0.3%, ETA 40h 2m
  190. Sat Sep 28 17:05:39 2024 checkpointing every 160000 dimensions
  191. Mon Sep 30 08:02:04 2024 lanczos halted after 11882 iterations (dim = 6073545)
  192. Mon Sep 30 08:04:02 2024 recovered 32 nontrivial dependencies
  193. Mon Sep 30 08:04:03 2024 BLanczosTime: 141607
  194. Mon Sep 30 08:04:03 2024
  195. Mon Sep 30 08:04:03 2024 commencing square root phase
  196. Mon Sep 30 08:04:03 2024 handling dependencies 1 to 64
  197. Mon Sep 30 08:04:03 2024 reading relations for dependency 1
  198. Mon Sep 30 08:04:04 2024 read 3034921 cycles
  199. Mon Sep 30 08:04:13 2024 cycles contain 9567880 unique relations
  200. Mon Sep 30 08:05:53 2024 read 9567880 relations
  201. Mon Sep 30 08:07:00 2024 multiplying 9567880 relations
  202. Mon Sep 30 08:16:55 2024 multiply complete, coefficients have about 234.13 million bits
  203. Mon Sep 30 08:16:57 2024 initial square root is modulo 252477977
  204. Mon Sep 30 08:28:14 2024 sqrtTime: 1451
  205. Mon Sep 30 08:28:14 2024 p54 factor: 210410083601984073955044302782463455372478644135950959
  206. Mon Sep 30 08:28:14 2024 p168 factor: 283585922532440848084078946585679469908359364334186934861081540532572783385138704762841707182334099251943194958170220343600428430862081926638730601945783337321590479109
  207. Mon Sep 30 08:28:14 2024 elapsed time 39:44:20
  208.  
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