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Jan 16th, 2023
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  1. Sun Jan 15 19:49:19 2023
  2. Sun Jan 15 19:49:19 2023
  3. Sun Jan 15 19:49:19 2023 Msieve v. 1.54 (SVN unknown)
  4. Sun Jan 15 19:49:19 2023 random seeds: f2008d75 dcc1f0fe
  5. Sun Jan 15 19:49:19 2023 factoring 19804625246946834990429661630048619635915965729609087739736660647102303223202845004302406132104964924239170801314356966034465267913677485561828990739704309591785784567 (167 digits)
  6. Sun Jan 15 19:49:20 2023 searching for 15-digit factors
  7. Sun Jan 15 19:49:20 2023 commencing number field sieve (167-digit input)
  8. Sun Jan 15 19:49:20 2023 R0: -186738590678116437254254020774727
  9. Sun Jan 15 19:49:20 2023 R1: 384853402551159433
  10. Sun Jan 15 19:49:20 2023 A0: -9507577109100001290436338959104345442112
  11. Sun Jan 15 19:49:20 2023 A1: 28142635830218282722333965218274408
  12. Sun Jan 15 19:49:20 2023 A2: -4016980929090756223623415014
  13. Sun Jan 15 19:49:20 2023 A3: -974415681334082797541
  14. Sun Jan 15 19:49:20 2023 A4: 7790511826408
  15. Sun Jan 15 19:49:20 2023 A5: 87216
  16. Sun Jan 15 19:49:20 2023 skew 20583385.96, size 3.249e-16, alpha -8.201, combined = 5.662e-13 rroots = 5
  17. Sun Jan 15 19:49:20 2023
  18. Sun Jan 15 19:49:20 2023 commencing relation filtering
  19. Sun Jan 15 19:49:20 2023 setting target matrix density to 130.0
  20. Sun Jan 15 19:49:20 2023 estimated available RAM is 15536.6 MB
  21. Sun Jan 15 19:49:20 2023 commencing duplicate removal, pass 1
  22. Sun Jan 15 19:50:28 2023 error -9 reading relation 17208488
  23. Sun Jan 15 19:50:35 2023 error -15 reading relation 19127209
  24. Sun Jan 15 19:50:37 2023 error -15 reading relation 19465977
  25. Sun Jan 15 19:51:06 2023 error -1 reading relation 26914221
  26. Sun Jan 15 19:52:54 2023 error -15 reading relation 54454063
  27. Sun Jan 15 19:54:03 2023 error -1 reading relation 71756469
  28. Sun Jan 15 19:54:03 2023 error -15 reading relation 71870976
  29. Sun Jan 15 19:54:04 2023 error -9 reading relation 72054429
  30. Sun Jan 15 19:54:13 2023 error -5 reading relation 74333713
  31. Sun Jan 15 19:54:19 2023 error -9 reading relation 75885440
  32. Sun Jan 15 19:54:44 2023 error -9 reading relation 82348680
  33. Sun Jan 15 19:54:45 2023 error -9 reading relation 82491660
  34. Sun Jan 15 19:54:51 2023 error -15 reading relation 83909209
  35. Sun Jan 15 19:54:53 2023 error -5 reading relation 84416480
  36. Sun Jan 15 19:55:05 2023 error -15 reading relation 87436846
  37. Sun Jan 15 19:55:05 2023 error -1 reading relation 87676923
  38. Sun Jan 15 19:55:06 2023 error -15 reading relation 87882503
  39. Sun Jan 15 19:55:14 2023 error -15 reading relation 89811591
  40. Sun Jan 15 19:55:14 2023 error -9 reading relation 89815049
  41. Sun Jan 15 19:55:18 2023 error -15 reading relation 90907883
  42. Sun Jan 15 19:55:20 2023 error -9 reading relation 91243432
  43. Sun Jan 15 19:55:25 2023 error -1 reading relation 92565278
  44. Sun Jan 15 19:55:45 2023 error -15 reading relation 97730759
  45. Sun Jan 15 19:55:46 2023 error -5 reading relation 97919466
  46. Sun Jan 15 19:55:46 2023 error -15 reading relation 97921755
  47. Sun Jan 15 19:55:48 2023 error -15 reading relation 98553562
  48. Sun Jan 15 19:55:48 2023 error -9 reading relation 98560889
  49. Sun Jan 15 19:55:57 2023 error -9 reading relation 100650518
  50. Sun Jan 15 19:55:58 2023 error -9 reading relation 100938294
  51. Sun Jan 15 19:56:00 2023 error -15 reading relation 101362745
  52. Sun Jan 15 19:56:05 2023 error -9 reading relation 102640123
  53. Sun Jan 15 19:56:08 2023 error -15 reading relation 103467416
  54. Sun Jan 15 19:56:15 2023 error -9 reading relation 105306736
  55. Sun Jan 15 19:56:15 2023 error -1 reading relation 105324145
  56. Sun Jan 15 19:56:20 2023 error -15 reading relation 106532278
  57. Sun Jan 15 19:56:21 2023 error -15 reading relation 106683646
  58. Sun Jan 15 19:56:23 2023 error -1 reading relation 107328337
  59. Sun Jan 15 19:56:26 2023 error -1 reading relation 107934522
  60. Sun Jan 15 19:56:58 2023 error -15 reading relation 116078158
  61. Sun Jan 15 19:58:00 2023 error -15 reading relation 131531094
  62. Sun Jan 15 19:58:28 2023 skipped 19 relations with composite factors
  63. Sun Jan 15 19:58:28 2023 found 34869063 hash collisions in 138768751 relations
  64. Sun Jan 15 19:59:04 2023 added 121971 free relations
  65. Sun Jan 15 19:59:04 2023 commencing duplicate removal, pass 2
  66. Sun Jan 15 20:02:15 2023 found 37865176 duplicates and 101025546 unique relations
  67. Sun Jan 15 20:02:15 2023 memory use: 724.8 MB
  68. Sun Jan 15 20:02:15 2023 reading ideals above 108068864
  69. Sun Jan 15 20:02:15 2023 commencing singleton removal, initial pass
  70. Sun Jan 15 20:09:16 2023 memory use: 1506.0 MB
  71. Sun Jan 15 20:09:17 2023 reading all ideals from disk
  72. Sun Jan 15 20:09:18 2023 memory use: 2465.9 MB
  73. Sun Jan 15 20:09:23 2023 commencing in-memory singleton removal
  74. Sun Jan 15 20:09:27 2023 begin with 101025546 relations and 79613115 unique ideals
  75. Sun Jan 15 20:09:42 2023 reduce to 67786920 relations and 43202508 ideals in 13 passes
  76. Sun Jan 15 20:09:42 2023 max relations containing the same ideal: 33
  77. Sun Jan 15 20:09:44 2023 reading ideals above 720000
  78. Sun Jan 15 20:09:45 2023 commencing singleton removal, initial pass
  79. Sun Jan 15 20:16:09 2023 memory use: 1506.0 MB
  80. Sun Jan 15 20:16:09 2023 reading all ideals from disk
  81. Sun Jan 15 20:16:11 2023 memory use: 3085.9 MB
  82. Sun Jan 15 20:16:19 2023 keeping 55224721 ideals with weight <= 200, target excess is 366147
  83. Sun Jan 15 20:16:28 2023 commencing in-memory singleton removal
  84. Sun Jan 15 20:16:33 2023 begin with 67786920 relations and 55224721 unique ideals
  85. Sun Jan 15 20:16:47 2023 reduce to 67710141 relations and 55147923 ideals in 9 passes
  86. Sun Jan 15 20:16:47 2023 max relations containing the same ideal: 200
  87. Sun Jan 15 20:17:19 2023 removing 8762983 relations and 6762983 ideals in 2000000 cliques
  88. Sun Jan 15 20:17:23 2023 commencing in-memory singleton removal
  89. Sun Jan 15 20:17:27 2023 begin with 58947158 relations and 55147923 unique ideals
  90. Sun Jan 15 20:17:39 2023 reduce to 58103391 relations and 47511434 ideals in 8 passes
  91. Sun Jan 15 20:17:39 2023 max relations containing the same ideal: 190
  92. Sun Jan 15 20:18:07 2023 removing 6910211 relations and 4910211 ideals in 2000000 cliques
  93. Sun Jan 15 20:18:10 2023 commencing in-memory singleton removal
  94. Sun Jan 15 20:18:16 2023 begin with 51193180 relations and 47511434 unique ideals
  95. Sun Jan 15 20:18:28 2023 reduce to 50593879 relations and 41982098 ideals in 8 passes
  96. Sun Jan 15 20:18:28 2023 max relations containing the same ideal: 175
  97. Sun Jan 15 20:18:53 2023 removing 6395803 relations and 4395803 ideals in 2000000 cliques
  98. Sun Jan 15 20:18:56 2023 commencing in-memory singleton removal
  99. Sun Jan 15 20:18:59 2023 begin with 44198076 relations and 41982098 unique ideals
  100. Sun Jan 15 20:19:07 2023 reduce to 43643680 relations and 37012351 ideals in 8 passes
  101. Sun Jan 15 20:19:07 2023 max relations containing the same ideal: 160
  102. Sun Jan 15 20:19:28 2023 removing 6138683 relations and 4138683 ideals in 2000000 cliques
  103. Sun Jan 15 20:19:31 2023 commencing in-memory singleton removal
  104. Sun Jan 15 20:19:33 2023 begin with 37504997 relations and 37012351 unique ideals
  105. Sun Jan 15 20:19:39 2023 reduce to 36944075 relations and 32290800 ideals in 7 passes
  106. Sun Jan 15 20:19:39 2023 max relations containing the same ideal: 140
  107. Sun Jan 15 20:19:57 2023 removing 5983864 relations and 3983864 ideals in 2000000 cliques
  108. Sun Jan 15 20:19:59 2023 commencing in-memory singleton removal
  109. Sun Jan 15 20:20:01 2023 begin with 30960211 relations and 32290800 unique ideals
  110. Sun Jan 15 20:20:06 2023 reduce to 30347591 relations and 27665997 ideals in 7 passes
  111. Sun Jan 15 20:20:06 2023 max relations containing the same ideal: 128
  112. Sun Jan 15 20:20:21 2023 removing 5894446 relations and 3894446 ideals in 2000000 cliques
  113. Sun Jan 15 20:20:24 2023 commencing in-memory singleton removal
  114. Sun Jan 15 20:20:26 2023 begin with 24453145 relations and 27665997 unique ideals
  115. Sun Jan 15 20:20:32 2023 reduce to 23713000 relations and 22989969 ideals in 8 passes
  116. Sun Jan 15 20:20:32 2023 max relations containing the same ideal: 109
  117. Sun Jan 15 20:20:43 2023 removing 1298846 relations and 1000546 ideals in 298300 cliques
  118. Sun Jan 15 20:20:45 2023 commencing in-memory singleton removal
  119. Sun Jan 15 20:20:46 2023 begin with 22414154 relations and 22989969 unique ideals
  120. Sun Jan 15 20:20:49 2023 reduce to 22364024 relations and 21938684 ideals in 6 passes
  121. Sun Jan 15 20:20:49 2023 max relations containing the same ideal: 103
  122. Sun Jan 15 20:21:05 2023 relations with 0 large ideals: 1170
  123. Sun Jan 15 20:21:05 2023 relations with 1 large ideals: 3675
  124. Sun Jan 15 20:21:05 2023 relations with 2 large ideals: 58200
  125. Sun Jan 15 20:21:05 2023 relations with 3 large ideals: 425411
  126. Sun Jan 15 20:21:05 2023 relations with 4 large ideals: 1677192
  127. Sun Jan 15 20:21:05 2023 relations with 5 large ideals: 3965911
  128. Sun Jan 15 20:21:05 2023 relations with 6 large ideals: 5918840
  129. Sun Jan 15 20:21:05 2023 relations with 7+ large ideals: 10313625
  130. Sun Jan 15 20:21:05 2023 commencing 2-way merge
  131. Sun Jan 15 20:21:19 2023 reduce to 15176478 relation sets and 14751138 unique ideals
  132. Sun Jan 15 20:21:19 2023 commencing full merge
  133. Sun Jan 15 20:27:18 2023 memory use: 1821.5 MB
  134. Sun Jan 15 20:27:20 2023 found 6609290 cycles, need 6599338
  135. Sun Jan 15 20:27:23 2023 weight of 6599338 cycles is about 858113972 (130.03/cycle)
  136. Sun Jan 15 20:27:23 2023 distribution of cycle lengths:
  137. Sun Jan 15 20:27:23 2023 1 relations: 183504
  138. Sun Jan 15 20:27:23 2023 2 relations: 331308
  139. Sun Jan 15 20:27:23 2023 3 relations: 421244
  140. Sun Jan 15 20:27:23 2023 4 relations: 457812
  141. Sun Jan 15 20:27:23 2023 5 relations: 492717
  142. Sun Jan 15 20:27:23 2023 6 relations: 496245
  143. Sun Jan 15 20:27:23 2023 7 relations: 490607
  144. Sun Jan 15 20:27:23 2023 8 relations: 474406
  145. Sun Jan 15 20:27:23 2023 9 relations: 447666
  146. Sun Jan 15 20:27:23 2023 10+ relations: 2803829
  147. Sun Jan 15 20:27:23 2023 heaviest cycle: 28 relations
  148. Sun Jan 15 20:27:24 2023 commencing cycle optimization
  149. Sun Jan 15 20:27:42 2023 start with 61256810 relations
  150. Sun Jan 15 20:30:29 2023 pruned 3246322 relations
  151. Sun Jan 15 20:30:29 2023 memory use: 1561.0 MB
  152. Sun Jan 15 20:30:29 2023 distribution of cycle lengths:
  153. Sun Jan 15 20:30:29 2023 1 relations: 183504
  154. Sun Jan 15 20:30:29 2023 2 relations: 341897
  155. Sun Jan 15 20:30:29 2023 3 relations: 442241
  156. Sun Jan 15 20:30:29 2023 4 relations: 481585
  157. Sun Jan 15 20:30:29 2023 5 relations: 522515
  158. Sun Jan 15 20:30:29 2023 6 relations: 525893
  159. Sun Jan 15 20:30:29 2023 7 relations: 521956
  160. Sun Jan 15 20:30:29 2023 8 relations: 502588
  161. Sun Jan 15 20:30:29 2023 9 relations: 472171
  162. Sun Jan 15 20:30:29 2023 10+ relations: 2604988
  163. Sun Jan 15 20:30:29 2023 heaviest cycle: 28 relations
  164. Sun Jan 15 20:30:41 2023 RelProcTime: 2481
  165. Sun Jan 15 20:30:42 2023 elapsed time 00:41:23
  166. Sun Jan 15 20:31:18 2023
  167. Sun Jan 15 20:31:18 2023
  168. Sun Jan 15 20:31:18 2023 Msieve v. 1.54 (SVN unknown)
  169. Sun Jan 15 20:31:18 2023 random seeds: 9c31bea0 6b27eeef
  170. Sun Jan 15 20:31:18 2023 factoring 19804625246946834990429661630048619635915965729609087739736660647102303223202845004302406132104964924239170801314356966034465267913677485561828990739704309591785784567 (167 digits)
  171. Sun Jan 15 20:31:19 2023 searching for 15-digit factors
  172. Sun Jan 15 20:31:19 2023 commencing number field sieve (167-digit input)
  173. Sun Jan 15 20:31:19 2023 R0: -186738590678116437254254020774727
  174. Sun Jan 15 20:31:19 2023 R1: 384853402551159433
  175. Sun Jan 15 20:31:19 2023 A0: -9507577109100001290436338959104345442112
  176. Sun Jan 15 20:31:19 2023 A1: 28142635830218282722333965218274408
  177. Sun Jan 15 20:31:19 2023 A2: -4016980929090756223623415014
  178. Sun Jan 15 20:31:19 2023 A3: -974415681334082797541
  179. Sun Jan 15 20:31:19 2023 A4: 7790511826408
  180. Sun Jan 15 20:31:19 2023 A5: 87216
  181. Sun Jan 15 20:31:19 2023 skew 20583385.96, size 3.249e-16, alpha -8.201, combined = 5.662e-13 rroots = 5
  182. Sun Jan 15 20:31:19 2023
  183. Sun Jan 15 20:31:19 2023 commencing linear algebra
  184. Sun Jan 15 20:31:19 2023 using VBITS=256
  185. Sun Jan 15 20:31:20 2023 read 6599338 cycles
  186. Sun Jan 15 20:31:40 2023 cycles contain 22151437 unique relations
  187. Sun Jan 15 20:34:40 2023 read 22151437 relations
  188. Sun Jan 15 20:34:49 2023 using 20 quadratic characters above 4294917295
  189. Sun Jan 15 20:35:19 2023 building initial matrix
  190. Sun Jan 15 20:43:28 2023 memory use: 3129.9 MB
  191. Sun Jan 15 20:43:54 2023 read 6599338 cycles
  192. Sun Jan 15 20:43:55 2023 matrix is 6599160 x 6599338 (3303.4 MB) with weight 1021765919 (154.83/col)
  193. Sun Jan 15 20:43:55 2023 sparse part has weight 786762551 (119.22/col)
  194. Sun Jan 15 20:45:09 2023 filtering completed in 2 passes
  195. Sun Jan 15 20:45:11 2023 matrix is 6599134 x 6599310 (3303.4 MB) with weight 1021764725 (154.83/col)
  196. Sun Jan 15 20:45:11 2023 sparse part has weight 786762337 (119.22/col)
  197. Sun Jan 15 20:45:47 2023 matrix starts at (0, 0)
  198. Sun Jan 15 20:45:48 2023 matrix is 6599134 x 6599310 (3303.4 MB) with weight 1021764725 (154.83/col)
  199. Sun Jan 15 20:45:48 2023 sparse part has weight 786762337 (119.22/col)
  200. Sun Jan 15 20:45:48 2023 saving the first 240 matrix rows for later
  201. Sun Jan 15 20:45:50 2023 matrix includes 256 packed rows
  202. Sun Jan 15 20:45:52 2023 matrix is 6598894 x 6599310 (2965.6 MB) with weight 719669690 (109.05/col)
  203. Sun Jan 15 20:45:52 2023 sparse part has weight 671813099 (101.80/col)
  204. Sun Jan 15 20:45:52 2023 using block size 8192 and superblock size 878592 for processor cache size 36608 kB
  205. Sun Jan 15 20:46:07 2023 commencing Lanczos iteration (8 threads)
  206. Sun Jan 15 20:46:07 2023 memory use: 3985.3 MB
  207. Sun Jan 15 20:51:12 2023 linear algebra at 0.5%, ETA 17h59m
  208. Sun Jan 15 20:58:48 2023 checking every 10000 dimensions, checkpointing every 370000 dimensions
  209. Mon Jan 16 14:48:59 2023 lanczos halted after 25855 iterations (dim = 6598892)
  210. Mon Jan 16 14:49:30 2023 recovered 29 nontrivial dependencies
  211. Mon Jan 16 14:49:30 2023 BLanczosTime: 65891
  212. Mon Jan 16 14:49:30 2023
  213. Mon Jan 16 14:49:30 2023 commencing square root phase
  214. Mon Jan 16 14:49:30 2023 reading relations for dependency 1
  215. Mon Jan 16 14:49:32 2023 read 3300084 cycles
  216. Mon Jan 16 14:49:39 2023 cycles contain 11073254 unique relations
  217. Mon Jan 16 14:51:53 2023 read 11073254 relations
  218. Mon Jan 16 14:52:46 2023 multiplying 11073254 relations
  219. Mon Jan 16 15:00:24 2023 multiply complete, coefficients have about 610.91 million bits
  220. Mon Jan 16 15:00:27 2023 initial square root is modulo 302579
  221. Mon Jan 16 15:06:33 2023 sqrtTime: 1023
  222. Mon Jan 16 15:06:33 2023 p67 factor: 3321727852432493573134565242946466301748671014642172604626940206633
  223. Mon Jan 16 15:06:33 2023 p100 factor: 5962145644304952324304841371034526365041968430179558701392853443801361329891427025206959426251386399
  224. Mon Jan 16 15:06:33 2023 elapsed time 18:35:15
  225.  
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