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Jun 15th, 2023
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  1. Thu Jun 15 13:41:54 2023 Msieve v. 1.54 (SVN unknown)
  2. Thu Jun 15 13:41:54 2023 random seeds: 0120c920 2ac6906b
  3. Thu Jun 15 13:41:54 2023 factoring 2534618739435487575500070037565152283851949098637770358697333344915886473865524422910533048601230123269702021551991812570646365685653495702187817613075298493 (157 digits)
  4. Thu Jun 15 13:41:55 2023 searching for 15-digit factors
  5. Thu Jun 15 13:41:55 2023 commencing number field sieve (157-digit input)
  6. Thu Jun 15 13:41:55 2023 R0: -1490529492135929778758427119035
  7. Thu Jun 15 13:41:55 2023 R1: 662914900012021523
  8. Thu Jun 15 13:41:55 2023 A0: -522731004777443248782163999608901722624
  9. Thu Jun 15 13:41:55 2023 A1: 630592842845778384913606114806340
  10. Thu Jun 15 13:41:55 2023 A2: 377278653729944916238882270
  11. Thu Jun 15 13:41:55 2023 A3: 4749058231843773490
  12. Thu Jun 15 13:41:55 2023 A4: -8320509787341
  13. Thu Jun 15 13:41:55 2023 A5: 344520
  14. Thu Jun 15 13:41:55 2023 skew 6548235.88, size 3.170e-15, alpha -8.116, combined = 2.198e-12 rroots = 5
  15. Thu Jun 15 13:41:55 2023
  16. Thu Jun 15 13:41:55 2023 commencing relation filtering
  17. Thu Jun 15 13:41:55 2023 setting target matrix density to 120.0
  18. Thu Jun 15 13:41:55 2023 estimated available RAM is 15536.6 MB
  19. Thu Jun 15 13:41:55 2023 commencing duplicate removal, pass 1
  20. Thu Jun 15 13:42:08 2023 error -15 reading relation 4095752
  21. Thu Jun 15 13:42:21 2023 error -1 reading relation 8456633
  22. Thu Jun 15 13:42:30 2023 error -9 reading relation 11572419
  23. Thu Jun 15 13:42:30 2023 error -1 reading relation 11574676
  24. Thu Jun 15 13:42:31 2023 error -15 reading relation 11770564
  25. Thu Jun 15 13:42:31 2023 error -9 reading relation 11788308
  26. Thu Jun 15 13:42:38 2023 error -15 reading relation 14106075
  27. Thu Jun 15 13:42:39 2023 error -15 reading relation 14597264
  28. Thu Jun 15 13:42:48 2023 error -5 reading relation 17673579
  29. Thu Jun 15 13:42:48 2023 error -15 reading relation 17718819
  30. Thu Jun 15 13:42:52 2023 error -15 reading relation 18966977
  31. Thu Jun 15 13:42:57 2023 error -9 reading relation 20720523
  32. Thu Jun 15 13:43:20 2023 error -15 reading relation 28606780
  33. Thu Jun 15 13:43:26 2023 error -9 reading relation 30621018
  34. Thu Jun 15 13:43:27 2023 error -9 reading relation 30793826
  35. Thu Jun 15 13:43:33 2023 error -9 reading relation 33116112
  36. Thu Jun 15 13:43:38 2023 error -15 reading relation 34871916
  37. Thu Jun 15 13:43:44 2023 error -1 reading relation 36789811
  38. Thu Jun 15 13:43:44 2023 error -9 reading relation 36799819
  39. Thu Jun 15 13:43:44 2023 error -1 reading relation 36837226
  40. Thu Jun 15 13:43:44 2023 error -5 reading relation 36847429
  41. Thu Jun 15 13:44:25 2023 error -1 reading relation 50438307
  42. Thu Jun 15 13:44:25 2023 error -15 reading relation 50451109
  43. Thu Jun 15 13:44:37 2023 error -15 reading relation 54711133
  44. Thu Jun 15 13:44:40 2023 error -15 reading relation 55502935
  45. Thu Jun 15 13:44:40 2023 error -15 reading relation 55517838
  46. Thu Jun 15 13:44:40 2023 error -9 reading relation 55551231
  47. Thu Jun 15 13:44:46 2023 skipped 10 relations with composite factors
  48. Thu Jun 15 13:44:46 2023 found 11508808 hash collisions in 57629719 relations
  49. Thu Jun 15 13:45:26 2023 commencing duplicate removal, pass 2
  50. Thu Jun 15 13:46:58 2023 found 11349390 duplicates and 46280329 unique relations
  51. Thu Jun 15 13:46:58 2023 memory use: 330.4 MB
  52. Thu Jun 15 13:46:58 2023 reading ideals above 720000
  53. Thu Jun 15 13:46:58 2023 commencing singleton removal, initial pass
  54. Thu Jun 15 13:51:32 2023 memory use: 1378.0 MB
  55. Thu Jun 15 13:51:32 2023 reading all ideals from disk
  56. Thu Jun 15 13:51:33 2023 memory use: 2012.1 MB
  57. Thu Jun 15 13:51:40 2023 keeping 45684225 ideals with weight <= 200, target excess is 249893
  58. Thu Jun 15 13:51:47 2023 commencing in-memory singleton removal
  59. Thu Jun 15 13:51:50 2023 begin with 46280329 relations and 45684225 unique ideals
  60. Thu Jun 15 13:51:58 2023 reduce to 26493191 relations and 23553405 ideals in 17 passes
  61. Thu Jun 15 13:51:58 2023 max relations containing the same ideal: 144
  62. Thu Jun 15 13:52:12 2023 removing 2689130 relations and 2289130 ideals in 400000 cliques
  63. Thu Jun 15 13:52:13 2023 commencing in-memory singleton removal
  64. Thu Jun 15 13:52:14 2023 begin with 23804061 relations and 23553405 unique ideals
  65. Thu Jun 15 13:52:18 2023 reduce to 23600296 relations and 21056455 ideals in 10 passes
  66. Thu Jun 15 13:52:18 2023 max relations containing the same ideal: 135
  67. Thu Jun 15 13:52:30 2023 removing 2032281 relations and 1632281 ideals in 400000 cliques
  68. Thu Jun 15 13:52:31 2023 commencing in-memory singleton removal
  69. Thu Jun 15 13:52:32 2023 begin with 21568015 relations and 21056455 unique ideals
  70. Thu Jun 15 13:52:35 2023 reduce to 21435497 relations and 19289459 ideals in 8 passes
  71. Thu Jun 15 13:52:35 2023 max relations containing the same ideal: 126
  72. Thu Jun 15 13:52:46 2023 removing 1827981 relations and 1427981 ideals in 400000 cliques
  73. Thu Jun 15 13:52:47 2023 commencing in-memory singleton removal
  74. Thu Jun 15 13:52:48 2023 begin with 19607516 relations and 19289459 unique ideals
  75. Thu Jun 15 13:52:50 2023 reduce to 19489668 relations and 17741596 ideals in 8 passes
  76. Thu Jun 15 13:52:50 2023 max relations containing the same ideal: 118
  77. Thu Jun 15 13:53:01 2023 removing 1725972 relations and 1325972 ideals in 400000 cliques
  78. Thu Jun 15 13:53:02 2023 commencing in-memory singleton removal
  79. Thu Jun 15 13:53:03 2023 begin with 17763696 relations and 17741596 unique ideals
  80. Thu Jun 15 13:53:05 2023 reduce to 17649055 relations and 16298870 ideals in 8 passes
  81. Thu Jun 15 13:53:05 2023 max relations containing the same ideal: 111
  82. Thu Jun 15 13:53:14 2023 removing 1663835 relations and 1263835 ideals in 400000 cliques
  83. Thu Jun 15 13:53:15 2023 commencing in-memory singleton removal
  84. Thu Jun 15 13:53:16 2023 begin with 15985220 relations and 16298870 unique ideals
  85. Thu Jun 15 13:53:18 2023 reduce to 15869447 relations and 14916964 ideals in 8 passes
  86. Thu Jun 15 13:53:18 2023 max relations containing the same ideal: 104
  87. Thu Jun 15 13:53:26 2023 removing 1623657 relations and 1223657 ideals in 400000 cliques
  88. Thu Jun 15 13:53:27 2023 commencing in-memory singleton removal
  89. Thu Jun 15 13:53:28 2023 begin with 14245790 relations and 14916964 unique ideals
  90. Thu Jun 15 13:53:29 2023 reduce to 14124155 relations and 13569016 ideals in 8 passes
  91. Thu Jun 15 13:53:29 2023 max relations containing the same ideal: 94
  92. Thu Jun 15 13:53:37 2023 removing 1150466 relations and 885203 ideals in 265263 cliques
  93. Thu Jun 15 13:53:37 2023 commencing in-memory singleton removal
  94. Thu Jun 15 13:53:38 2023 begin with 12973689 relations and 13569016 unique ideals
  95. Thu Jun 15 13:53:39 2023 reduce to 12908336 relations and 12617415 ideals in 8 passes
  96. Thu Jun 15 13:53:39 2023 max relations containing the same ideal: 89
  97. Thu Jun 15 13:53:49 2023 relations with 0 large ideals: 798
  98. Thu Jun 15 13:53:49 2023 relations with 1 large ideals: 2468
  99. Thu Jun 15 13:53:49 2023 relations with 2 large ideals: 37991
  100. Thu Jun 15 13:53:49 2023 relations with 3 large ideals: 275217
  101. Thu Jun 15 13:53:49 2023 relations with 4 large ideals: 1073519
  102. Thu Jun 15 13:53:49 2023 relations with 5 large ideals: 2473062
  103. Thu Jun 15 13:53:49 2023 relations with 6 large ideals: 3532168
  104. Thu Jun 15 13:53:49 2023 relations with 7+ large ideals: 5513113
  105. Thu Jun 15 13:53:49 2023 commencing 2-way merge
  106. Thu Jun 15 13:53:58 2023 reduce to 8290025 relation sets and 7999104 unique ideals
  107. Thu Jun 15 13:53:58 2023 commencing full merge
  108. Thu Jun 15 13:58:32 2023 memory use: 1025.1 MB
  109. Thu Jun 15 13:58:33 2023 found 3707514 cycles, need 3693304
  110. Thu Jun 15 13:58:35 2023 weight of 3693304 cycles is about 443933354 (120.20/cycle)
  111. Thu Jun 15 13:58:35 2023 distribution of cycle lengths:
  112. Thu Jun 15 13:58:35 2023 1 relations: 167082
  113. Thu Jun 15 13:58:35 2023 2 relations: 244232
  114. Thu Jun 15 13:58:35 2023 3 relations: 278595
  115. Thu Jun 15 13:58:35 2023 4 relations: 279598
  116. Thu Jun 15 13:58:35 2023 5 relations: 279396
  117. Thu Jun 15 13:58:35 2023 6 relations: 269099
  118. Thu Jun 15 13:58:35 2023 7 relations: 262169
  119. Thu Jun 15 13:58:35 2023 8 relations: 245543
  120. Thu Jun 15 13:58:35 2023 9 relations: 229130
  121. Thu Jun 15 13:58:35 2023 10+ relations: 1438460
  122. Thu Jun 15 13:58:35 2023 heaviest cycle: 28 relations
  123. Thu Jun 15 13:58:37 2023 commencing cycle optimization
  124. Thu Jun 15 13:58:48 2023 start with 32255133 relations
  125. Thu Jun 15 14:00:35 2023 pruned 1440820 relations
  126. Thu Jun 15 14:00:36 2023 memory use: 865.0 MB
  127. Thu Jun 15 14:00:36 2023 distribution of cycle lengths:
  128. Thu Jun 15 14:00:36 2023 1 relations: 167082
  129. Thu Jun 15 14:00:36 2023 2 relations: 251214
  130. Thu Jun 15 14:00:36 2023 3 relations: 291393
  131. Thu Jun 15 14:00:36 2023 4 relations: 291873
  132. Thu Jun 15 14:00:36 2023 5 relations: 292650
  133. Thu Jun 15 14:00:36 2023 6 relations: 281609
  134. Thu Jun 15 14:00:36 2023 7 relations: 274540
  135. Thu Jun 15 14:00:36 2023 8 relations: 255258
  136. Thu Jun 15 14:00:36 2023 9 relations: 238364
  137. Thu Jun 15 14:00:36 2023 10+ relations: 1349321
  138. Thu Jun 15 14:00:36 2023 heaviest cycle: 28 relations
  139. Thu Jun 15 14:00:45 2023 RelProcTime: 1130
  140. Thu Jun 15 14:00:45 2023 elapsed time 00:18:51
  141. Thu Jun 15 14:05:34 2023
  142. Thu Jun 15 14:05:34 2023
  143. Thu Jun 15 14:05:34 2023 Msieve v. 1.54 (SVN unknown)
  144. Thu Jun 15 14:05:34 2023 random seeds: cc4f5b81 df2b801a
  145. Thu Jun 15 14:05:34 2023 factoring 2534618739435487575500070037565152283851949098637770358697333344915886473865524422910533048601230123269702021551991812570646365685653495702187817613075298493 (157 digits)
  146. Thu Jun 15 14:05:35 2023 searching for 15-digit factors
  147. Thu Jun 15 14:05:36 2023 commencing number field sieve (157-digit input)
  148. Thu Jun 15 14:05:36 2023 R0: -1490529492135929778758427119035
  149. Thu Jun 15 14:05:36 2023 R1: 662914900012021523
  150. Thu Jun 15 14:05:36 2023 A0: -522731004777443248782163999608901722624
  151. Thu Jun 15 14:05:36 2023 A1: 630592842845778384913606114806340
  152. Thu Jun 15 14:05:36 2023 A2: 377278653729944916238882270
  153. Thu Jun 15 14:05:36 2023 A3: 4749058231843773490
  154. Thu Jun 15 14:05:36 2023 A4: -8320509787341
  155. Thu Jun 15 14:05:36 2023 A5: 344520
  156. Thu Jun 15 14:05:36 2023 skew 6548235.88, size 3.170e-15, alpha -8.116, combined = 2.198e-12 rroots = 5
  157. Thu Jun 15 14:05:36 2023
  158. Thu Jun 15 14:05:36 2023 commencing linear algebra
  159. Thu Jun 15 14:05:36 2023 using VBITS=256
  160. Thu Jun 15 14:05:36 2023 read 3693304 cycles
  161. Thu Jun 15 14:05:49 2023 cycles contain 12727167 unique relations
  162. Thu Jun 15 14:07:04 2023 read 12727167 relations
  163. Thu Jun 15 14:07:08 2023 using 20 quadratic characters above 4294917295
  164. Thu Jun 15 14:07:17 2023 building initial matrix
  165. Thu Jun 15 14:12:14 2023 memory use: 1756.3 MB
  166. Thu Jun 15 14:12:17 2023 read 3693304 cycles
  167. Thu Jun 15 14:12:18 2023 matrix is 3693127 x 3693304 (1740.7 MB) with weight 532846806 (144.27/col)
  168. Thu Jun 15 14:12:18 2023 sparse part has weight 412003902 (111.55/col)
  169. Thu Jun 15 14:13:23 2023 filtering completed in 2 passes
  170. Thu Jun 15 14:13:25 2023 matrix is 3693025 x 3693202 (1740.7 MB) with weight 532842178 (144.28/col)
  171. Thu Jun 15 14:13:25 2023 sparse part has weight 412002788 (111.56/col)
  172. Thu Jun 15 14:13:49 2023 matrix starts at (0, 0)
  173. Thu Jun 15 14:13:50 2023 matrix is 3693025 x 3693202 (1740.7 MB) with weight 532842178 (144.28/col)
  174. Thu Jun 15 14:13:50 2023 sparse part has weight 412002788 (111.56/col)
  175. Thu Jun 15 14:13:50 2023 saving the first 240 matrix rows for later
  176. Thu Jun 15 14:13:52 2023 matrix includes 256 packed rows
  177. Thu Jun 15 14:13:54 2023 matrix is 3692785 x 3693202 (1548.3 MB) with weight 373793750 (101.21/col)
  178. Thu Jun 15 14:13:54 2023 sparse part has weight 346793592 (93.90/col)
  179. Thu Jun 15 14:13:54 2023 using block size 8192 and superblock size 878592 for processor cache size 36608 kB
  180. Thu Jun 15 14:14:09 2023 commencing Lanczos iteration (8 threads)
  181. Thu Jun 15 14:14:09 2023 memory use: 2117.2 MB
  182. Thu Jun 15 14:16:45 2023 linear algebra at 0.8%, ETA 5h 7m
  183. Thu Jun 15 14:20:33 2023 checking every 10000 dimensions, checkpointing every 730000 dimensions
  184. Thu Jun 15 19:18:58 2023 lanczos halted after 14470 iterations (dim = 3692781)
  185. Thu Jun 15 19:19:27 2023 recovered 26 nontrivial dependencies
  186. Thu Jun 15 19:19:28 2023 BLanczosTime: 18832
  187. Thu Jun 15 19:19:28 2023
  188. Thu Jun 15 19:19:28 2023 commencing square root phase
  189. Thu Jun 15 19:19:28 2023 reading relations for dependency 1
  190. Thu Jun 15 19:19:28 2023 read 1844700 cycles
  191. Thu Jun 15 19:19:34 2023 cycles contain 6357918 unique relations
  192. Thu Jun 15 19:20:42 2023 read 6357918 relations
  193. Thu Jun 15 19:21:31 2023 multiplying 6357918 relations
  194. Thu Jun 15 19:26:27 2023 multiply complete, coefficients have about 346.31 million bits
  195. Thu Jun 15 19:26:29 2023 initial square root is modulo 1636669
  196. Thu Jun 15 19:29:52 2023 sqrtTime: 624
  197. Thu Jun 15 19:29:52 2023 p57 factor: 495802332777197905954076806511861542828978783657109655007
  198. Thu Jun 15 19:29:52 2023 p100 factor: 5112155736012816580620251537968615378457252423458260846820101222864103315962922660453332073015350499
  199. Thu Jun 15 19:29:52 2023 elapsed time 05:24:18
  200.  
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