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9p8_526L

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Nov 29th, 2019
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  1. Wed Nov 27 14:53:37 2019
  2. Wed Nov 27 14:53:37 2019
  3. Wed Nov 27 14:53:37 2019 Msieve v. 1.53 (SVN 988M)
  4. Wed Nov 27 14:53:37 2019 random seeds: c6af43a6 fe0186b7
  5. Wed Nov 27 14:53:37 2019 factoring 32338290513955562944936480859898083365759597796308208178569643159004490541160463908137786694676042496927182217461272482573503118463215067623467380490626014442903284250317134751691084753825267373731626883152980450780221 (218 digits)
  6. Wed Nov 27 14:53:38 2019 searching for 15-digit factors
  7. Wed Nov 27 14:53:39 2019 commencing number field sieve (218-digit input)
  8. Wed Nov 27 14:53:39 2019 R0: -969773729787523602876821942164080815560161
  9. Wed Nov 27 14:53:39 2019 R1: 5444517870735015415413993718908291383296
  10. Wed Nov 27 14:53:39 2019 A0: 9
  11. Wed Nov 27 14:53:39 2019 A1: 0
  12. Wed Nov 27 14:53:39 2019 A2: 0
  13. Wed Nov 27 14:53:39 2019 A3: -12
  14. Wed Nov 27 14:53:39 2019 A4: 0
  15. Wed Nov 27 14:53:39 2019 A5: 0
  16. Wed Nov 27 14:53:39 2019 A6: 8
  17. Wed Nov 27 14:53:39 2019 skew 1.02, size 1.714e-12, alpha 0.933, combined = 1.745e-13 rroots = 0
  18. Wed Nov 27 14:53:39 2019
  19. Wed Nov 27 14:53:39 2019 commencing relation filtering
  20. Wed Nov 27 14:53:39 2019 setting target matrix density to 110.0
  21. Wed Nov 27 14:53:39 2019 estimated available RAM is 32768.0 MB
  22. Wed Nov 27 14:53:39 2019 commencing duplicate removal, pass 1
  23. Wed Nov 27 15:00:21 2019 error -1 reading relation 68729594
  24. Wed Nov 27 15:03:49 2019 error -5 reading relation 103610765
  25. Wed Nov 27 15:09:11 2019 error -11 reading relation 157585256
  26. Wed Nov 27 15:10:30 2019 error -15 reading relation 170933694
  27. Wed Nov 27 15:10:59 2019 error -15 reading relation 175799546
  28. Wed Nov 27 15:11:26 2019 error -15 reading relation 180280217
  29. Wed Nov 27 15:11:59 2019 error -11 reading relation 185861348
  30. Wed Nov 27 15:12:00 2019 error -15 reading relation 185994058
  31. Wed Nov 27 15:12:11 2019 skipped 117 relations with b > 2^32
  32. Wed Nov 27 15:12:11 2019 skipped 3 relations with composite factors
  33. Wed Nov 27 15:12:11 2019 found 7755224 hash collisions in 187845700 relations
  34. Wed Nov 27 15:12:22 2019 added 1218608 free relations
  35. Wed Nov 27 15:12:22 2019 commencing duplicate removal, pass 2
  36. Wed Nov 27 15:20:14 2019 found 0 duplicates and 189064308 unique relations
  37. Wed Nov 27 15:20:14 2019 memory use: 522.4 MB
  38. Wed Nov 27 15:20:14 2019 reading ideals above 133890048
  39. Wed Nov 27 15:20:14 2019 commencing singleton removal, initial pass
  40. Wed Nov 27 15:34:18 2019 memory use: 5512.0 MB
  41. Wed Nov 27 15:34:19 2019 reading all ideals from disk
  42. Wed Nov 27 15:35:48 2019 memory use: 3671.9 MB
  43. Wed Nov 27 15:35:55 2019 commencing in-memory singleton removal
  44. Wed Nov 27 15:36:02 2019 begin with 189064308 relations and 163870180 unique ideals
  45. Wed Nov 27 15:37:53 2019 reduce to 121784080 relations and 89676057 ideals in 19 passes
  46. Wed Nov 27 15:37:53 2019 max relations containing the same ideal: 38
  47. Wed Nov 27 15:38:08 2019 reading ideals above 720000
  48. Wed Nov 27 15:38:08 2019 commencing singleton removal, initial pass
  49. Wed Nov 27 15:50:48 2019 memory use: 2756.0 MB
  50. Wed Nov 27 15:50:48 2019 reading all ideals from disk
  51. Wed Nov 27 15:52:45 2019 memory use: 4867.6 MB
  52. Wed Nov 27 15:52:55 2019 keeping 104227393 ideals with weight <= 200, target excess is 619038
  53. Wed Nov 27 15:53:07 2019 commencing in-memory singleton removal
  54. Wed Nov 27 15:53:15 2019 begin with 121784080 relations and 104227393 unique ideals
  55. Wed Nov 27 15:54:02 2019 reduce to 121783894 relations and 104227207 ideals in 5 passes
  56. Wed Nov 27 15:54:02 2019 max relations containing the same ideal: 200
  57. Wed Nov 27 15:54:50 2019 removing 11775323 relations and 9775323 ideals in 2000000 cliques
  58. Wed Nov 27 15:54:54 2019 commencing in-memory singleton removal
  59. Wed Nov 27 15:55:01 2019 begin with 110008571 relations and 104227207 unique ideals
  60. Wed Nov 27 15:56:09 2019 reduce to 109068657 relations and 93491427 ideals in 8 passes
  61. Wed Nov 27 15:56:09 2019 max relations containing the same ideal: 197
  62. Wed Nov 27 15:56:52 2019 removing 8998406 relations and 6998406 ideals in 2000000 cliques
  63. Wed Nov 27 15:56:55 2019 commencing in-memory singleton removal
  64. Wed Nov 27 15:57:02 2019 begin with 100070251 relations and 93491427 unique ideals
  65. Wed Nov 27 15:57:56 2019 reduce to 99449957 relations and 85860881 ideals in 7 passes
  66. Wed Nov 27 15:57:56 2019 max relations containing the same ideal: 186
  67. Wed Nov 27 15:58:35 2019 removing 8152867 relations and 6152867 ideals in 2000000 cliques
  68. Wed Nov 27 15:58:39 2019 commencing in-memory singleton removal
  69. Wed Nov 27 15:58:45 2019 begin with 91297090 relations and 85860881 unique ideals
  70. Wed Nov 27 15:59:41 2019 reduce to 90751234 relations and 79151449 ideals in 8 passes
  71. Wed Nov 27 15:59:41 2019 max relations containing the same ideal: 176
  72. Wed Nov 27 16:00:17 2019 removing 7720641 relations and 5720641 ideals in 2000000 cliques
  73. Wed Nov 27 16:00:20 2019 commencing in-memory singleton removal
  74. Wed Nov 27 16:00:25 2019 begin with 83030593 relations and 79151449 unique ideals
  75. Wed Nov 27 16:01:15 2019 reduce to 82508067 relations and 72897590 ideals in 8 passes
  76. Wed Nov 27 16:01:15 2019 max relations containing the same ideal: 166
  77. Wed Nov 27 16:01:49 2019 removing 7454514 relations and 5454514 ideals in 2000000 cliques
  78. Wed Nov 27 16:01:51 2019 commencing in-memory singleton removal
  79. Wed Nov 27 16:01:56 2019 begin with 75053553 relations and 72897590 unique ideals
  80. Wed Nov 27 16:02:41 2019 reduce to 74532896 relations and 66911160 ideals in 8 passes
  81. Wed Nov 27 16:02:41 2019 max relations containing the same ideal: 157
  82. Wed Nov 27 16:03:11 2019 removing 7279263 relations and 5279263 ideals in 2000000 cliques
  83. Wed Nov 27 16:03:13 2019 commencing in-memory singleton removal
  84. Wed Nov 27 16:03:18 2019 begin with 67253633 relations and 66911160 unique ideals
  85. Wed Nov 27 16:03:58 2019 reduce to 66717562 relations and 61083087 ideals in 8 passes
  86. Wed Nov 27 16:03:58 2019 max relations containing the same ideal: 145
  87. Wed Nov 27 16:04:25 2019 removing 7159856 relations and 5159856 ideals in 2000000 cliques
  88. Wed Nov 27 16:04:27 2019 commencing in-memory singleton removal
  89. Wed Nov 27 16:04:31 2019 begin with 59557706 relations and 61083087 unique ideals
  90. Wed Nov 27 16:05:06 2019 reduce to 58987686 relations and 55338187 ideals in 8 passes
  91. Wed Nov 27 16:05:06 2019 max relations containing the same ideal: 132
  92. Wed Nov 27 16:05:30 2019 removing 7093609 relations and 5093609 ideals in 2000000 cliques
  93. Wed Nov 27 16:05:32 2019 commencing in-memory singleton removal
  94. Wed Nov 27 16:05:35 2019 begin with 51894077 relations and 55338187 unique ideals
  95. Wed Nov 27 16:06:05 2019 reduce to 51259754 relations and 49591639 ideals in 8 passes
  96. Wed Nov 27 16:06:05 2019 max relations containing the same ideal: 120
  97. Wed Nov 27 16:06:26 2019 removing 3911193 relations and 2961163 ideals in 950030 cliques
  98. Wed Nov 27 16:06:28 2019 commencing in-memory singleton removal
  99. Wed Nov 27 16:06:31 2019 begin with 47348561 relations and 49591639 unique ideals
  100. Wed Nov 27 16:06:55 2019 reduce to 47134365 relations and 46412856 ideals in 7 passes
  101. Wed Nov 27 16:06:55 2019 max relations containing the same ideal: 112
  102. Wed Nov 27 16:07:19 2019 relations with 0 large ideals: 23433
  103. Wed Nov 27 16:07:19 2019 relations with 1 large ideals: 7012
  104. Wed Nov 27 16:07:19 2019 relations with 2 large ideals: 89246
  105. Wed Nov 27 16:07:19 2019 relations with 3 large ideals: 684896
  106. Wed Nov 27 16:07:19 2019 relations with 4 large ideals: 2880528
  107. Wed Nov 27 16:07:19 2019 relations with 5 large ideals: 7317942
  108. Wed Nov 27 16:07:19 2019 relations with 6 large ideals: 11723709
  109. Wed Nov 27 16:07:19 2019 relations with 7+ large ideals: 24407599
  110. Wed Nov 27 16:07:19 2019 commencing 2-way merge
  111. Wed Nov 27 16:07:46 2019 reduce to 31460627 relation sets and 30739118 unique ideals
  112. Wed Nov 27 16:07:46 2019 commencing full merge
  113. Wed Nov 27 16:18:28 2019 memory use: 3950.3 MB
  114. Wed Nov 27 16:18:36 2019 found 14381291 cycles, need 14339318
  115. Wed Nov 27 16:18:36 2019 weight of 14339318 cycles is about 1577704744 (110.03/cycle)
  116. Wed Nov 27 16:18:36 2019 distribution of cycle lengths:
  117. Wed Nov 27 16:18:36 2019 1 relations: 718884
  118. Wed Nov 27 16:18:36 2019 2 relations: 984137
  119. Wed Nov 27 16:18:36 2019 3 relations: 1135030
  120. Wed Nov 27 16:18:36 2019 4 relations: 1153158
  121. Wed Nov 27 16:18:36 2019 5 relations: 1152659
  122. Wed Nov 27 16:18:36 2019 6 relations: 1114958
  123. Wed Nov 27 16:18:36 2019 7 relations: 1060559
  124. Wed Nov 27 16:18:36 2019 8 relations: 994936
  125. Wed Nov 27 16:18:36 2019 9 relations: 919255
  126. Wed Nov 27 16:18:36 2019 10+ relations: 5105742
  127. Wed Nov 27 16:18:36 2019 heaviest cycle: 28 relations
  128. Wed Nov 27 16:18:43 2019 commencing cycle optimization
  129. Wed Nov 27 16:19:14 2019 start with 118510998 relations
  130. Wed Nov 27 16:24:10 2019 pruned 5089258 relations
  131. Wed Nov 27 16:24:10 2019 memory use: 3185.3 MB
  132. Wed Nov 27 16:24:10 2019 distribution of cycle lengths:
  133. Wed Nov 27 16:24:10 2019 1 relations: 718884
  134. Wed Nov 27 16:24:10 2019 2 relations: 1009628
  135. Wed Nov 27 16:24:10 2019 3 relations: 1184883
  136. Wed Nov 27 16:24:10 2019 4 relations: 1201502
  137. Wed Nov 27 16:24:10 2019 5 relations: 1207705
  138. Wed Nov 27 16:24:10 2019 6 relations: 1162404
  139. Wed Nov 27 16:24:10 2019 7 relations: 1108826
  140. Wed Nov 27 16:24:10 2019 8 relations: 1033568
  141. Wed Nov 27 16:24:10 2019 9 relations: 950868
  142. Wed Nov 27 16:24:10 2019 10+ relations: 4761050
  143. Wed Nov 27 16:24:10 2019 heaviest cycle: 28 relations
  144. Wed Nov 27 16:24:52 2019 RelProcTime: 5473
  145. Wed Nov 27 16:24:52 2019
  146. Wed Nov 27 16:24:52 2019 commencing linear algebra
  147. Wed Nov 27 16:24:55 2019 read 14339318 cycles
  148. Wed Nov 27 16:25:24 2019 cycles contain 46708066 unique relations
  149. Wed Nov 27 16:33:35 2019 read 46708066 relations
  150. Wed Nov 27 16:35:10 2019 using 20 quadratic characters above 4294917295
  151. Wed Nov 27 16:37:49 2019 building initial matrix
  152. Wed Nov 27 16:45:31 2019 memory use: 6126.1 MB
  153. Wed Nov 27 16:48:10 2019 read 14339318 cycles
  154. Wed Nov 27 16:48:12 2019 matrix is 14339141 x 14339318 (6251.4 MB) with weight 1807158742 (126.03/col)
  155. Wed Nov 27 16:48:12 2019 sparse part has weight 1481021463 (103.28/col)
  156. Wed Nov 27 16:50:32 2019 filtering completed in 2 passes
  157. Wed Nov 27 16:50:34 2019 matrix is 14338834 x 14339011 (6251.3 MB) with weight 1807147696 (126.03/col)
  158. Wed Nov 27 16:50:34 2019 sparse part has weight 1481017525 (103.29/col)
  159. Wed Nov 27 16:53:34 2019 matrix starts at (0, 0)
  160. Wed Nov 27 16:53:36 2019 matrix is 14338834 x 14339011 (6251.3 MB) with weight 1807147696 (126.03/col)
  161. Wed Nov 27 16:53:36 2019 sparse part has weight 1481017525 (103.29/col)
  162. Wed Nov 27 16:53:36 2019 saving the first 48 matrix rows for later
  163. Wed Nov 27 16:53:38 2019 matrix includes 64 packed rows
  164. Wed Nov 27 16:53:39 2019 matrix is 14338786 x 14339011 (6010.6 MB) with weight 1536937351 (107.19/col)
  165. Wed Nov 27 16:53:39 2019 sparse part has weight 1432263899 (99.89/col)
  166. Wed Nov 27 16:53:39 2019 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  167. Wed Nov 27 16:54:55 2019 commencing Lanczos iteration (16 threads)
  168. Wed Nov 27 16:54:55 2019 memory use: 5145.5 MB
  169. Wed Nov 27 16:55:13 2019 linear algebra at 0.0%, ETA 44h39m
  170. Wed Nov 27 16:55:18 2019 checkpointing every 340000 dimensions
  171. Fri Nov 29 11:13:47 2019 lanczos halted after 226755 iterations (dim = 14338784)
  172. Fri Nov 29 11:13:58 2019 recovered 38 nontrivial dependencies
  173. Fri Nov 29 11:14:03 2019 BLanczosTime: 154151
  174. Fri Nov 29 11:14:03 2019
  175. Fri Nov 29 11:14:03 2019 commencing square root phase
  176. Fri Nov 29 11:14:03 2019 handling dependencies 1 to 64
  177. Fri Nov 29 11:14:03 2019 reading relations for dependency 1
  178. Fri Nov 29 11:14:15 2019 read 7166417 cycles
  179. Fri Nov 29 11:14:28 2019 cycles contain 23353054 unique relations
  180. Fri Nov 29 11:22:27 2019 read 23353054 relations
  181. Fri Nov 29 11:24:03 2019 multiplying 23353054 relations
  182. Fri Nov 29 11:38:15 2019 multiply complete, coefficients have about 659.67 million bits
  183. Fri Nov 29 11:38:18 2019 initial square root is modulo 828379
  184. Fri Nov 29 11:52:14 2019 sqrtTime: 2291
  185. Fri Nov 29 11:52:16 2019 p99 factor: 217629373314465420646460678652388207056056180032214796168587629500248103154952220558593815850584157
  186. Fri Nov 29 11:52:16 2019 p120 factor: 148593409159103141966169559151930894672008835448796620899393320105115897840228468409641862811781423741091671696006630753
  187. Fri Nov 29 11:52:16 2019 elapsed time 44:58:39
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