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Msieve log of 228__877_13m1

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Aug 8th, 2021
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  1. Sat Aug 07 19:50:31 2021
  2. Sat Aug 07 19:50:31 2021
  3. Sat Aug 07 19:50:31 2021 Msieve v. 1.53 (SVN 988)
  4. Sat Aug 07 19:50:31 2021 random seeds: 762fbf10 0217ceb5
  5. Sat Aug 07 19:50:31 2021 factoring 20888497045965590391110543524601864496738458041455362225470607651135866393783884575147733752185978107172888518648373127842720423630713550189850246166468499 (155 digits)
  6. Sat Aug 07 19:50:32 2021 searching for 15-digit factors
  7. Sat Aug 07 19:50:32 2021 commencing number field sieve (155-digit input)
  8. Sat Aug 07 19:50:32 2021 R0: 5203302620578474570679896890590881130
  9. Sat Aug 07 19:50:32 2021 R1: -2281074882720528877
  10. Sat Aug 07 19:50:32 2021 A0: -1
  11. Sat Aug 07 19:50:32 2021 A1: 3
  12. Sat Aug 07 19:50:32 2021 A2: 6
  13. Sat Aug 07 19:50:32 2021 A3: -4
  14. Sat Aug 07 19:50:32 2021 A4: -5
  15. Sat Aug 07 19:50:32 2021 A5: 1
  16. Sat Aug 07 19:50:32 2021 A6: 1
  17. Sat Aug 07 19:50:32 2021 skew 1.00, size 7.284e-011, alpha 3.126, combined = 2.622e-012 rroots = 6
  18. Sat Aug 07 19:50:32 2021
  19. Sat Aug 07 19:50:32 2021 commencing relation filtering
  20. Sat Aug 07 19:50:32 2021 setting target matrix density to 100.0
  21. Sat Aug 07 19:50:32 2021 estimated available RAM is 12043.5 MB
  22. Sat Aug 07 19:50:32 2021 commencing duplicate removal, pass 1
  23. Sat Aug 07 19:51:26 2021 error -9 reading relation 4438546
  24. Sat Aug 07 19:55:50 2021 error -9 reading relation 27048123
  25. Sat Aug 07 19:55:57 2021 error -5 reading relation 27586796
  26. Sat Aug 07 19:56:53 2021 error -9 reading relation 32310951
  27. Sat Aug 07 19:58:42 2021 error -9 reading relation 41600221
  28. Sat Aug 07 19:58:45 2021 error -15 reading relation 41844706
  29. Sat Aug 07 19:58:48 2021 error -9 reading relation 42120543
  30. Sat Aug 07 19:59:07 2021 error -9 reading relation 43784143
  31. Sat Aug 07 19:59:07 2021 error -9 reading relation 43791914
  32. Sat Aug 07 19:59:36 2021 error -1 reading relation 46033857
  33. Sat Aug 07 19:59:41 2021 error -15 reading relation 46403950
  34. Sat Aug 07 20:00:22 2021 error -9 reading relation 49769880
  35. Sat Aug 07 20:00:33 2021 error -15 reading relation 50665856
  36. Sat Aug 07 20:00:33 2021 error -15 reading relation 50671120
  37. Sat Aug 07 20:00:35 2021 error -1 reading relation 50827537
  38. Sat Aug 07 20:00:42 2021 error -1 reading relation 51414555
  39. Sat Aug 07 20:01:19 2021 error -9 reading relation 54289114
  40. Sat Aug 07 20:01:23 2021 error -9 reading relation 54601760
  41. Sat Aug 07 20:01:40 2021 error -15 reading relation 55973572
  42. Sat Aug 07 20:01:44 2021 error -1 reading relation 56260435
  43. Sat Aug 07 20:01:44 2021 error -15 reading relation 56309864
  44. Sat Aug 07 20:01:45 2021 error -15 reading relation 56325844
  45. Sat Aug 07 20:01:45 2021 error -9 reading relation 56327298
  46. Sat Aug 07 20:01:45 2021 error -9 reading relation 56391054
  47. Sat Aug 07 20:01:46 2021 error -15 reading relation 56392398
  48. Sat Aug 07 20:01:49 2021 error -9 reading relation 56663671
  49. Sat Aug 07 20:02:05 2021 error -5 reading relation 57956777
  50. Sat Aug 07 20:02:38 2021 error -15 reading relation 60568590
  51. Sat Aug 07 20:02:38 2021 error -5 reading relation 60588940
  52. Sat Aug 07 20:02:38 2021 error -1 reading relation 60588941
  53. Sat Aug 07 20:02:42 2021 error -1 reading relation 60831012
  54. Sat Aug 07 20:02:51 2021 error -1 reading relation 61531705
  55. Sat Aug 07 20:02:54 2021 error -1 reading relation 61806322
  56. Sat Aug 07 20:02:57 2021 error -9 reading relation 61990279
  57. Sat Aug 07 20:03:03 2021 error -5 reading relation 62384458
  58. Sat Aug 07 20:03:04 2021 error -5 reading relation 62475088
  59. Sat Aug 07 20:03:11 2021 skipped 17 relations with composite factors
  60. Sat Aug 07 20:03:11 2021 found 12371407 hash collisions in 63071116 relations
  61. Sat Aug 07 20:03:23 2021 added 2438358 free relations
  62. Sat Aug 07 20:03:23 2021 commencing duplicate removal, pass 2
  63. Sat Aug 07 20:04:10 2021 found 12053011 duplicates and 53456463 unique relations
  64. Sat Aug 07 20:04:10 2021 memory use: 330.4 MB
  65. Sat Aug 07 20:04:10 2021 reading ideals above 37945344
  66. Sat Aug 07 20:04:10 2021 commencing singleton removal, initial pass
  67. Sat Aug 07 20:13:44 2021 memory use: 1378.0 MB
  68. Sat Aug 07 20:13:44 2021 reading all ideals from disk
  69. Sat Aug 07 20:13:45 2021 memory use: 993.9 MB
  70. Sat Aug 07 20:13:48 2021 commencing in-memory singleton removal
  71. Sat Aug 07 20:13:51 2021 begin with 53456463 relations and 43851273 unique ideals
  72. Sat Aug 07 20:14:18 2021 reduce to 37631464 relations and 26612641 ideals in 12 passes
  73. Sat Aug 07 20:14:18 2021 max relations containing the same ideal: 40
  74. Sat Aug 07 20:14:22 2021 reading ideals above 720000
  75. Sat Aug 07 20:14:22 2021 commencing singleton removal, initial pass
  76. Sat Aug 07 20:22:17 2021 memory use: 753.0 MB
  77. Sat Aug 07 20:22:18 2021 reading all ideals from disk
  78. Sat Aug 07 20:22:20 2021 memory use: 1360.0 MB
  79. Sat Aug 07 20:22:24 2021 keeping 31052909 ideals with weight <= 200, target excess is 190504
  80. Sat Aug 07 20:22:28 2021 commencing in-memory singleton removal
  81. Sat Aug 07 20:22:33 2021 begin with 37631466 relations and 31052909 unique ideals
  82. Sat Aug 07 20:22:40 2021 reduce to 37631460 relations and 31052897 ideals in 2 passes
  83. Sat Aug 07 20:22:40 2021 max relations containing the same ideal: 200
  84. Sat Aug 07 20:23:00 2021 removing 4354900 relations and 3354900 ideals in 1000000 cliques
  85. Sat Aug 07 20:23:02 2021 commencing in-memory singleton removal
  86. Sat Aug 07 20:23:06 2021 begin with 33276560 relations and 31052897 unique ideals
  87. Sat Aug 07 20:23:31 2021 reduce to 32740734 relations and 27143746 ideals in 8 passes
  88. Sat Aug 07 20:23:31 2021 max relations containing the same ideal: 192
  89. Sat Aug 07 20:23:49 2021 removing 3574947 relations and 2574947 ideals in 1000000 cliques
  90. Sat Aug 07 20:23:50 2021 commencing in-memory singleton removal
  91. Sat Aug 07 20:23:53 2021 begin with 29165787 relations and 27143746 unique ideals
  92. Sat Aug 07 20:24:16 2021 reduce to 28827401 relations and 24219343 ideals in 8 passes
  93. Sat Aug 07 20:24:16 2021 max relations containing the same ideal: 179
  94. Sat Aug 07 20:24:32 2021 removing 3295787 relations and 2295787 ideals in 1000000 cliques
  95. Sat Aug 07 20:24:33 2021 commencing in-memory singleton removal
  96. Sat Aug 07 20:24:36 2021 begin with 25531614 relations and 24219343 unique ideals
  97. Sat Aug 07 20:24:55 2021 reduce to 25216096 relations and 21597405 ideals in 8 passes
  98. Sat Aug 07 20:24:55 2021 max relations containing the same ideal: 165
  99. Sat Aug 07 20:25:09 2021 removing 3195270 relations and 2195271 ideals in 1000000 cliques
  100. Sat Aug 07 20:25:11 2021 commencing in-memory singleton removal
  101. Sat Aug 07 20:25:13 2021 begin with 22020826 relations and 21597405 unique ideals
  102. Sat Aug 07 20:25:29 2021 reduce to 21692315 relations and 19061528 ideals in 8 passes
  103. Sat Aug 07 20:25:29 2021 max relations containing the same ideal: 150
  104. Sat Aug 07 20:25:42 2021 removing 3158692 relations and 2158692 ideals in 1000000 cliques
  105. Sat Aug 07 20:25:43 2021 commencing in-memory singleton removal
  106. Sat Aug 07 20:25:45 2021 begin with 18533623 relations and 19061528 unique ideals
  107. Sat Aug 07 20:25:58 2021 reduce to 18164722 relations and 16518461 ideals in 8 passes
  108. Sat Aug 07 20:25:58 2021 max relations containing the same ideal: 133
  109. Sat Aug 07 20:26:09 2021 removing 3167074 relations and 2167074 ideals in 1000000 cliques
  110. Sat Aug 07 20:26:10 2021 commencing in-memory singleton removal
  111. Sat Aug 07 20:26:12 2021 begin with 14997648 relations and 16518461 unique ideals
  112. Sat Aug 07 20:26:23 2021 reduce to 14555889 relations and 13887664 ideals in 9 passes
  113. Sat Aug 07 20:26:23 2021 max relations containing the same ideal: 113
  114. Sat Aug 07 20:26:32 2021 removing 1708577 relations and 1261337 ideals in 447240 cliques
  115. Sat Aug 07 20:26:33 2021 commencing in-memory singleton removal
  116. Sat Aug 07 20:26:34 2021 begin with 12847312 relations and 13887664 unique ideals
  117. Sat Aug 07 20:26:42 2021 reduce to 12678940 relations and 12453150 ideals in 7 passes
  118. Sat Aug 07 20:26:42 2021 max relations containing the same ideal: 105
  119. Sat Aug 07 20:26:52 2021 relations with 0 large ideals: 14589
  120. Sat Aug 07 20:26:52 2021 relations with 1 large ideals: 1607
  121. Sat Aug 07 20:26:52 2021 relations with 2 large ideals: 16603
  122. Sat Aug 07 20:26:52 2021 relations with 3 large ideals: 138254
  123. Sat Aug 07 20:26:52 2021 relations with 4 large ideals: 636808
  124. Sat Aug 07 20:26:52 2021 relations with 5 large ideals: 1752225
  125. Sat Aug 07 20:26:52 2021 relations with 6 large ideals: 3019198
  126. Sat Aug 07 20:26:52 2021 relations with 7+ large ideals: 7099656
  127. Sat Aug 07 20:26:52 2021 commencing 2-way merge
  128. Sat Aug 07 20:27:03 2021 reduce to 8401165 relation sets and 8175375 unique ideals
  129. Sat Aug 07 20:27:03 2021 commencing full merge
  130. Sat Aug 07 20:31:13 2021 memory use: 1143.8 MB
  131. Sat Aug 07 20:31:15 2021 found 3928055 cycles, need 3915575
  132. Sat Aug 07 20:31:16 2021 weight of 3915575 cycles is about 391744731 (100.05/cycle)
  133. Sat Aug 07 20:31:16 2021 distribution of cycle lengths:
  134. Sat Aug 07 20:31:16 2021 1 relations: 277219
  135. Sat Aug 07 20:31:16 2021 2 relations: 304560
  136. Sat Aug 07 20:31:16 2021 3 relations: 318317
  137. Sat Aug 07 20:31:16 2021 4 relations: 313127
  138. Sat Aug 07 20:31:16 2021 5 relations: 308341
  139. Sat Aug 07 20:31:16 2021 6 relations: 298912
  140. Sat Aug 07 20:31:16 2021 7 relations: 282781
  141. Sat Aug 07 20:31:16 2021 8 relations: 263859
  142. Sat Aug 07 20:31:16 2021 9 relations: 241992
  143. Sat Aug 07 20:31:16 2021 10+ relations: 1306467
  144. Sat Aug 07 20:31:16 2021 heaviest cycle: 28 relations
  145. Sat Aug 07 20:31:18 2021 commencing cycle optimization
  146. Sat Aug 07 20:31:26 2021 start with 31075349 relations
  147. Sat Aug 07 20:32:58 2021 pruned 1330072 relations
  148. Sat Aug 07 20:32:58 2021 memory use: 843.9 MB
  149. Sat Aug 07 20:32:58 2021 distribution of cycle lengths:
  150. Sat Aug 07 20:32:58 2021 1 relations: 277219
  151. Sat Aug 07 20:32:58 2021 2 relations: 310670
  152. Sat Aug 07 20:32:58 2021 3 relations: 330161
  153. Sat Aug 07 20:32:58 2021 4 relations: 324476
  154. Sat Aug 07 20:32:58 2021 5 relations: 323063
  155. Sat Aug 07 20:32:58 2021 6 relations: 311787
  156. Sat Aug 07 20:32:58 2021 7 relations: 295595
  157. Sat Aug 07 20:32:58 2021 8 relations: 275270
  158. Sat Aug 07 20:32:58 2021 9 relations: 250996
  159. Sat Aug 07 20:32:58 2021 10+ relations: 1216338
  160. Sat Aug 07 20:32:58 2021 heaviest cycle: 28 relations
  161. Sat Aug 07 20:33:04 2021 RelProcTime: 2552
  162. Sat Aug 07 20:33:04 2021
  163. Sat Aug 07 20:33:04 2021 commencing linear algebra
  164. Sat Aug 07 20:33:05 2021 read 3915575 cycles
  165. Sat Aug 07 20:33:14 2021 cycles contain 12518901 unique relations
  166. Sat Aug 07 20:35:19 2021 read 12518901 relations
  167. Sat Aug 07 20:35:45 2021 using 20 quadratic characters above 4294917295
  168. Sat Aug 07 20:37:08 2021 building initial matrix
  169. Sat Aug 07 20:40:08 2021 memory use: 1509.2 MB
  170. Sat Aug 07 20:40:13 2021 read 3915575 cycles
  171. Sat Aug 07 20:40:13 2021 matrix is 3915398 x 3915575 (1552.1 MB) with weight 441438810 (112.74/col)
  172. Sat Aug 07 20:40:13 2021 sparse part has weight 367729897 (93.91/col)
  173. Sat Aug 07 20:41:01 2021 filtering completed in 2 passes
  174. Sat Aug 07 20:41:01 2021 matrix is 3915252 x 3915429 (1552.1 MB) with weight 441433969 (112.74/col)
  175. Sat Aug 07 20:41:01 2021 sparse part has weight 367727874 (93.92/col)
  176. Sat Aug 07 20:41:14 2021 matrix starts at (0, 0)
  177. Sat Aug 07 20:41:14 2021 matrix is 3915252 x 3915429 (1552.1 MB) with weight 441433969 (112.74/col)
  178. Sat Aug 07 20:41:14 2021 sparse part has weight 367727874 (93.92/col)
  179. Sat Aug 07 20:41:14 2021 saving the first 48 matrix rows for later
  180. Sat Aug 07 20:41:16 2021 matrix includes 64 packed rows
  181. Sat Aug 07 20:41:17 2021 matrix is 3915204 x 3915429 (1485.9 MB) with weight 374864022 (95.74/col)
  182. Sat Aug 07 20:41:17 2021 sparse part has weight 350367296 (89.48/col)
  183. Sat Aug 07 20:41:17 2021 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  184. Sat Aug 07 20:41:40 2021 commencing Lanczos iteration (6 threads)
  185. Sat Aug 07 20:41:40 2021 memory use: 1242.2 MB
  186. Sat Aug 07 20:41:56 2021 linear algebra at 0.0%, ETA 11h28m
  187. Sat Aug 07 20:42:01 2021 checkpointing every 350000 dimensions
  188. Sun Aug 08 07:50:14 2021 lanczos halted after 61916 iterations (dim = 3915202)
  189. Sun Aug 08 07:50:19 2021 recovered 35 nontrivial dependencies
  190. Sun Aug 08 07:50:20 2021 BLanczosTime: 40636
  191. Sun Aug 08 07:50:20 2021
  192. Sun Aug 08 07:50:20 2021 commencing square root phase
  193. Sun Aug 08 07:50:20 2021 handling dependencies 1 to 64
  194. Sun Aug 08 07:50:20 2021 reading relations for dependency 1
  195. Sun Aug 08 07:50:21 2021 read 1956545 cycles
  196. Sun Aug 08 07:50:25 2021 cycles contain 6254514 unique relations
  197. Sun Aug 08 07:51:36 2021 read 6254514 relations
  198. Sun Aug 08 07:52:11 2021 multiplying 6254514 relations
  199. Sun Aug 08 07:57:14 2021 multiply complete, coefficients have about 148.82 million bits
  200. Sun Aug 08 07:57:15 2021 initial square root is modulo 219277
  201. Sun Aug 08 08:02:59 2021 sqrtTime: 759
  202. Sun Aug 08 08:02:59 2021 p71 factor: 30764958729565508484880341083575244195277785972334468896433685365982679
  203. Sun Aug 08 08:02:59 2021 p84 factor: 678970423122703057140573081857968878682989180158386921603029858822918272257102908581
  204. Sun Aug 08 08:02:59 2021 elapsed time 12:12:28
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