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988__511_7m1

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Jul 17th, 2020
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  1. Fri Jul 17 08:51:02 2020
  2. Fri Jul 17 08:51:02 2020
  3. Fri Jul 17 08:51:02 2020 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Jul 17 08:51:02 2020 random seeds: 766fa680 8bb96d8b
  5. Fri Jul 17 08:51:02 2020 factoring 123298545450358678249602817977387664683897711351583619966364825514047300623814988517615329612450545520049410276088160253509071212955652479770609230413223821980316940096324537553 (177 digits)
  6. Fri Jul 17 08:51:03 2020 searching for 15-digit factors
  7. Fri Jul 17 08:51:03 2020 commencing number field sieve (177-digit input)
  8. Fri Jul 17 08:51:03 2020 R0: 988979118833915893022329386772515511
  9. Fri Jul 17 08:51:03 2020 R1: -1
  10. Fri Jul 17 08:51:03 2020 A0: 1
  11. Fri Jul 17 08:51:03 2020 A1: 1
  12. Fri Jul 17 08:51:03 2020 A2: 1
  13. Fri Jul 17 08:51:03 2020 A3: 1
  14. Fri Jul 17 08:51:03 2020 A4: 1
  15. Fri Jul 17 08:51:03 2020 A5: 1
  16. Fri Jul 17 08:51:03 2020 A6: 1
  17. Fri Jul 17 08:51:03 2020 skew 1.00, size 1.011e-010, alpha 2.428, combined = 3.374e-012 rroots = 0
  18. Fri Jul 17 08:51:03 2020
  19. Fri Jul 17 08:51:03 2020 commencing relation filtering
  20. Fri Jul 17 08:51:03 2020 setting target matrix density to 110.0
  21. Fri Jul 17 08:51:03 2020 estimated available RAM is 32685.6 MB
  22. Fri Jul 17 08:51:03 2020 commencing duplicate removal, pass 1
  23. Fri Jul 17 08:51:44 2020 error -15 reading relation 7148856
  24. Fri Jul 17 08:51:50 2020 error -1 reading relation 8316210
  25. [ . . . removed thousands of lines - nearly all error -1 . . . ]
  26. Fri Jul 17 08:56:42 2020 error -15 reading relation 58746070
  27. Fri Jul 17 08:56:53 2020 error -9 reading relation 60728026
  28. Fri Jul 17 08:56:54 2020 error -1 reading relation 60899274
  29. Fri Jul 17 08:57:06 2020 skipped 15 relations with composite factors
  30. Fri Jul 17 08:57:06 2020 found 11652793 hash collisions in 62974523 relations
  31. Fri Jul 17 08:57:12 2020 added 2438534 free relations
  32. Fri Jul 17 08:57:12 2020 commencing duplicate removal, pass 2
  33. Fri Jul 17 08:57:37 2020 found 10902070 duplicates and 54510987 unique relations
  34. Fri Jul 17 08:57:37 2020 memory use: 330.4 MB
  35. Fri Jul 17 08:57:37 2020 reading ideals above 720000
  36. Fri Jul 17 08:57:37 2020 commencing singleton removal, initial pass
  37. Fri Jul 17 09:02:47 2020 memory use: 1378.0 MB
  38. Fri Jul 17 09:02:47 2020 reading all ideals from disk
  39. Fri Jul 17 09:02:48 2020 memory use: 1951.6 MB
  40. Fri Jul 17 09:02:50 2020 keeping 48101169 ideals with weight <= 200, target excess is 281785
  41. Fri Jul 17 09:02:54 2020 commencing in-memory singleton removal
  42. Fri Jul 17 09:02:56 2020 begin with 54510987 relations and 48101169 unique ideals
  43. Fri Jul 17 09:03:21 2020 reduce to 38007308 relations and 30042508 ideals in 13 passes
  44. Fri Jul 17 09:03:21 2020 max relations containing the same ideal: 167
  45. Fri Jul 17 09:03:32 2020 removing 4411373 relations and 3411373 ideals in 1000000 cliques
  46. Fri Jul 17 09:03:33 2020 commencing in-memory singleton removal
  47. Fri Jul 17 09:03:35 2020 begin with 33595935 relations and 30042508 unique ideals
  48. Fri Jul 17 09:03:47 2020 reduce to 33070679 relations and 26088905 ideals in 8 passes
  49. Fri Jul 17 09:03:47 2020 max relations containing the same ideal: 151
  50. Fri Jul 17 09:03:57 2020 removing 3572456 relations and 2572456 ideals in 1000000 cliques
  51. Fri Jul 17 09:03:57 2020 commencing in-memory singleton removal
  52. Fri Jul 17 09:03:59 2020 begin with 29498223 relations and 26088905 unique ideals
  53. Fri Jul 17 09:04:08 2020 reduce to 29182985 relations and 23191200 ideals in 7 passes
  54. Fri Jul 17 09:04:08 2020 max relations containing the same ideal: 141
  55. Fri Jul 17 09:04:17 2020 removing 3242484 relations and 2242484 ideals in 1000000 cliques
  56. Fri Jul 17 09:04:18 2020 commencing in-memory singleton removal
  57. Fri Jul 17 09:04:19 2020 begin with 25940501 relations and 23191200 unique ideals
  58. Fri Jul 17 09:04:27 2020 reduce to 25658873 relations and 20657866 ideals in 7 passes
  59. Fri Jul 17 09:04:27 2020 max relations containing the same ideal: 132
  60. Fri Jul 17 09:04:35 2020 removing 3103078 relations and 2103078 ideals in 1000000 cliques
  61. Fri Jul 17 09:04:35 2020 commencing in-memory singleton removal
  62. Fri Jul 17 09:04:36 2020 begin with 22555795 relations and 20657866 unique ideals
  63. Fri Jul 17 09:04:42 2020 reduce to 22282601 relations and 18271769 ideals in 6 passes
  64. Fri Jul 17 09:04:42 2020 max relations containing the same ideal: 118
  65. Fri Jul 17 09:04:49 2020 removing 3024340 relations and 2024340 ideals in 1000000 cliques
  66. Fri Jul 17 09:04:50 2020 commencing in-memory singleton removal
  67. Fri Jul 17 09:04:51 2020 begin with 19258261 relations and 18271769 unique ideals
  68. Fri Jul 17 09:04:56 2020 reduce to 18973716 relations and 15951675 ideals in 7 passes
  69. Fri Jul 17 09:04:56 2020 max relations containing the same ideal: 105
  70. Fri Jul 17 09:05:02 2020 removing 2977958 relations and 1977958 ideals in 1000000 cliques
  71. Fri Jul 17 09:05:03 2020 commencing in-memory singleton removal
  72. Fri Jul 17 09:05:04 2020 begin with 15995758 relations and 15951675 unique ideals
  73. Fri Jul 17 09:05:08 2020 reduce to 15688738 relations and 13652272 ideals in 7 passes
  74. Fri Jul 17 09:05:08 2020 max relations containing the same ideal: 91
  75. Fri Jul 17 09:05:13 2020 removing 2945662 relations and 1945662 ideals in 1000000 cliques
  76. Fri Jul 17 09:05:14 2020 commencing in-memory singleton removal
  77. Fri Jul 17 09:05:14 2020 begin with 12743076 relations and 13652272 unique ideals
  78. Fri Jul 17 09:05:19 2020 reduce to 12394445 relations and 11338598 ideals in 9 passes
  79. Fri Jul 17 09:05:19 2020 max relations containing the same ideal: 76
  80. Fri Jul 17 09:05:23 2020 removing 2249384 relations and 1520408 ideals in 728976 cliques
  81. Fri Jul 17 09:05:23 2020 commencing in-memory singleton removal
  82. Fri Jul 17 09:05:24 2020 begin with 10145061 relations and 11338598 unique ideals
  83. Fri Jul 17 09:05:27 2020 reduce to 9878621 relations and 9537750 ideals in 8 passes
  84. Fri Jul 17 09:05:27 2020 max relations containing the same ideal: 69
  85. Fri Jul 17 09:05:30 2020 removing 84539 relations and 70539 ideals in 14000 cliques
  86. Fri Jul 17 09:05:30 2020 commencing in-memory singleton removal
  87. Fri Jul 17 09:05:30 2020 begin with 9794082 relations and 9537750 unique ideals
  88. Fri Jul 17 09:05:32 2020 reduce to 9793556 relations and 9466682 ideals in 5 passes
  89. Fri Jul 17 09:05:32 2020 max relations containing the same ideal: 68
  90. Fri Jul 17 09:05:33 2020 relations with 0 large ideals: 20648
  91. Fri Jul 17 09:05:33 2020 relations with 1 large ideals: 6598
  92. Fri Jul 17 09:05:33 2020 relations with 2 large ideals: 51505
  93. Fri Jul 17 09:05:33 2020 relations with 3 large ideals: 324269
  94. Fri Jul 17 09:05:33 2020 relations with 4 large ideals: 1086197
  95. Fri Jul 17 09:05:33 2020 relations with 5 large ideals: 2138453
  96. Fri Jul 17 09:05:33 2020 relations with 6 large ideals: 2598578
  97. Fri Jul 17 09:05:33 2020 relations with 7+ large ideals: 3567308
  98. Fri Jul 17 09:05:33 2020 commencing 2-way merge
  99. Fri Jul 17 09:05:38 2020 reduce to 6612964 relation sets and 6286090 unique ideals
  100. Fri Jul 17 09:05:38 2020 commencing full merge
  101. Fri Jul 17 09:07:36 2020 memory use: 889.0 MB
  102. Fri Jul 17 09:07:37 2020 found 3047160 cycles, need 3028290
  103. Fri Jul 17 09:07:37 2020 weight of 3028290 cycles is about 333264876 (110.05/cycle)
  104. Fri Jul 17 09:07:37 2020 distribution of cycle lengths:
  105. Fri Jul 17 09:07:37 2020 1 relations: 122406
  106. Fri Jul 17 09:07:37 2020 2 relations: 173611
  107. Fri Jul 17 09:07:37 2020 3 relations: 211740
  108. Fri Jul 17 09:07:37 2020 4 relations: 226516
  109. Fri Jul 17 09:07:37 2020 5 relations: 234003
  110. Fri Jul 17 09:07:37 2020 6 relations: 233610
  111. Fri Jul 17 09:07:37 2020 7 relations: 228320
  112. Fri Jul 17 09:07:37 2020 8 relations: 217110
  113. Fri Jul 17 09:07:37 2020 9 relations: 201359
  114. Fri Jul 17 09:07:37 2020 10+ relations: 1179615
  115. Fri Jul 17 09:07:37 2020 heaviest cycle: 28 relations
  116. Fri Jul 17 09:07:38 2020 commencing cycle optimization
  117. Fri Jul 17 09:07:42 2020 start with 26594629 relations
  118. Fri Jul 17 09:08:33 2020 pruned 1301800 relations
  119. Fri Jul 17 09:08:33 2020 memory use: 681.2 MB
  120. Fri Jul 17 09:08:33 2020 distribution of cycle lengths:
  121. Fri Jul 17 09:08:33 2020 1 relations: 122406
  122. Fri Jul 17 09:08:33 2020 2 relations: 177540
  123. Fri Jul 17 09:08:33 2020 3 relations: 220512
  124. Fri Jul 17 09:08:33 2020 4 relations: 236539
  125. Fri Jul 17 09:08:33 2020 5 relations: 246854
  126. Fri Jul 17 09:08:33 2020 6 relations: 246005
  127. Fri Jul 17 09:08:33 2020 7 relations: 241511
  128. Fri Jul 17 09:08:33 2020 8 relations: 228827
  129. Fri Jul 17 09:08:33 2020 9 relations: 211625
  130. Fri Jul 17 09:08:33 2020 10+ relations: 1096471
  131. Fri Jul 17 09:08:33 2020 heaviest cycle: 28 relations
  132. Fri Jul 17 09:08:35 2020 RelProcTime: 1052
  133. Fri Jul 17 09:08:35 2020
  134. Fri Jul 17 09:08:35 2020 commencing linear algebra
  135. Fri Jul 17 09:08:35 2020 read 3028290 cycles
  136. Fri Jul 17 09:08:39 2020 cycles contain 9632894 unique relations
  137. Fri Jul 17 09:09:21 2020 read 9632894 relations
  138. Fri Jul 17 09:09:34 2020 using 20 quadratic characters above 4294917295
  139. Fri Jul 17 09:10:01 2020 building initial matrix
  140. Fri Jul 17 09:11:24 2020 memory use: 1202.3 MB
  141. Fri Jul 17 09:11:26 2020 read 3028290 cycles
  142. Fri Jul 17 09:11:26 2020 matrix is 3028113 x 3028290 (1311.8 MB) with weight 375172186 (123.89/col)
  143. Fri Jul 17 09:11:26 2020 sparse part has weight 310568773 (102.56/col)
  144. Fri Jul 17 09:11:46 2020 filtering completed in 2 passes
  145. Fri Jul 17 09:11:46 2020 matrix is 3028036 x 3028200 (1311.8 MB) with weight 375169019 (123.89/col)
  146. Fri Jul 17 09:11:46 2020 sparse part has weight 310567449 (102.56/col)
  147. Fri Jul 17 09:11:51 2020 matrix starts at (0, 0)
  148. Fri Jul 17 09:11:51 2020 matrix is 3028036 x 3028200 (1311.8 MB) with weight 375169019 (123.89/col)
  149. Fri Jul 17 09:11:51 2020 sparse part has weight 310567449 (102.56/col)
  150. Fri Jul 17 09:11:51 2020 saving the first 240 matrix rows for later
  151. Fri Jul 17 09:11:52 2020 matrix includes 256 packed rows
  152. Fri Jul 17 09:11:53 2020 matrix is 3027796 x 3028200 (1195.2 MB) with weight 281006572 (92.80/col)
  153. Fri Jul 17 09:11:53 2020 sparse part has weight 264866027 (87.47/col)
  154. Fri Jul 17 09:11:53 2020 using block size 8192 and superblock size 1572864 for processor cache size 65536 kB
  155. Fri Jul 17 09:12:01 2020 commencing Lanczos iteration (23 threads)
  156. Fri Jul 17 09:12:01 2020 memory use: 1678.7 MB
  157. Fri Jul 17 09:12:04 2020 linear algebra at 0.1%, ETA 1h38m
  158. Fri Jul 17 09:12:05 2020 checkpointing every 1840000 dimensions
  159. Fri Jul 17 10:51:02 2020 lanczos halted after 11864 iterations (dim = 3027796)
  160. Fri Jul 17 10:51:11 2020 recovered 40 nontrivial dependencies
  161. Fri Jul 17 10:51:11 2020 BLanczosTime: 6156
  162. Fri Jul 17 10:51:11 2020
  163. Fri Jul 17 10:51:11 2020 commencing square root phase
  164. Fri Jul 17 10:51:11 2020 handling dependencies 1 to 64
  165. Fri Jul 17 10:51:11 2020 reading relations for dependency 1
  166. Fri Jul 17 10:51:11 2020 read 1514028 cycles
  167. Fri Jul 17 10:51:13 2020 cycles contain 4815336 unique relations
  168. Fri Jul 17 10:51:37 2020 read 4815336 relations
  169. Fri Jul 17 10:51:51 2020 multiplying 4815336 relations
  170. Fri Jul 17 10:53:30 2020 multiply complete, coefficients have about 114.73 million bits
  171. Fri Jul 17 10:53:31 2020 initial square root is modulo 171790631
  172. Fri Jul 17 10:55:21 2020 GCD is N, no factor found
  173. Fri Jul 17 10:55:21 2020 reading relations for dependency 2
  174. Fri Jul 17 10:55:21 2020 read 1513822 cycles
  175. Fri Jul 17 10:55:23 2020 cycles contain 4814714 unique relations
  176. Fri Jul 17 10:55:47 2020 read 4814714 relations
  177. Fri Jul 17 10:56:00 2020 multiplying 4814714 relations
  178. Fri Jul 17 10:57:40 2020 multiply complete, coefficients have about 114.72 million bits
  179. Fri Jul 17 10:57:40 2020 initial square root is modulo 171383231
  180. Fri Jul 17 10:59:31 2020 GCD is N, no factor found
  181. Fri Jul 17 10:59:31 2020 reading relations for dependency 3
  182. Fri Jul 17 10:59:31 2020 read 1514758 cycles
  183. Fri Jul 17 10:59:33 2020 cycles contain 4817132 unique relations
  184. Fri Jul 17 10:59:56 2020 read 4817132 relations
  185. Fri Jul 17 11:00:10 2020 multiplying 4817132 relations
  186. Fri Jul 17 11:01:49 2020 multiply complete, coefficients have about 114.77 million bits
  187. Fri Jul 17 11:01:49 2020 initial square root is modulo 172992769
  188. Fri Jul 17 11:03:40 2020 GCD is N, no factor found
  189. Fri Jul 17 11:03:40 2020 reading relations for dependency 4
  190. Fri Jul 17 11:03:40 2020 read 1512483 cycles
  191. Fri Jul 17 11:03:42 2020 cycles contain 4812672 unique relations
  192. Fri Jul 17 11:04:06 2020 read 4812672 relations
  193. Fri Jul 17 11:04:19 2020 multiplying 4812672 relations
  194. Fri Jul 17 11:05:58 2020 multiply complete, coefficients have about 114.67 million bits
  195. Fri Jul 17 11:05:59 2020 initial square root is modulo 170079341
  196. Fri Jul 17 11:07:49 2020 sqrtTime: 998
  197. Fri Jul 17 11:07:49 2020 p71 factor: 81639582373429815779547584351112763327649504586876732047971082788156853
  198. Fri Jul 17 11:07:49 2020 p106 factor: 1510278983133150728312987787451566635787242588221760933505964417544795739435011757943738531281444672121901
  199. Fri Jul 17 11:07:49 2020 elapsed time 02:16:47
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