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Oct 8th, 2019
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  1. Mon Oct 7 21:20:40 2019
  2. Mon Oct 7 21:20:40 2019
  3. Mon Oct 7 21:20:40 2019 Msieve v. 1.53 (SVN 988M)
  4. Mon Oct 7 21:20:40 2019 random seeds: e22d25d4 323e0761
  5. Mon Oct 7 21:20:40 2019 factoring 10986193988674371544585391890719684702676664122103434455072848009137622295541896485200854774221169467417504706101362523941735590657862538922119051363537566311648273107577544770495746035760142625116541751 (203 digits)
  6. Mon Oct 7 21:20:40 2019 searching for 15-digit factors
  7. Mon Oct 7 21:20:41 2019 commencing number field sieve (203-digit input)
  8. Mon Oct 7 21:20:41 2019 R0: 763927667395787853309998053291462182547568294227627
  9. Mon Oct 7 21:20:41 2019 R1: -1
  10. Mon Oct 7 21:20:41 2019 A0: 1
  11. Mon Oct 7 21:20:41 2019 A1: 1
  12. Mon Oct 7 21:20:41 2019 A2: 1
  13. Mon Oct 7 21:20:41 2019 A3: 1
  14. Mon Oct 7 21:20:41 2019 A4: 1
  15. Mon Oct 7 21:20:41 2019 skew 1.00, size 9.074e-21, alpha 1.694, combined = 2.008e-12 rroots = 0
  16. Mon Oct 7 21:20:41 2019
  17. Mon Oct 7 21:20:41 2019 commencing relation filtering
  18. Mon Oct 7 21:20:41 2019 setting target matrix density to 130.0
  19. Mon Oct 7 21:20:41 2019 estimated available RAM is 32768.0 MB
  20. Mon Oct 7 21:20:41 2019 commencing duplicate removal, pass 1
  21. Mon Oct 7 21:30:41 2019 error -15 reading relation 98922023
  22. Mon Oct 7 21:31:21 2019 error -5 reading relation 105548295
  23. Mon Oct 7 21:32:15 2019 error -1 reading relation 114600007
  24. Mon Oct 7 21:32:44 2019 skipped 122 relations with b > 2^32
  25. Mon Oct 7 21:32:44 2019 found 6169669 hash collisions in 119397292 relations
  26. Mon Oct 7 21:32:50 2019 added 3657738 free relations
  27. Mon Oct 7 21:32:50 2019 commencing duplicate removal, pass 2
  28. Mon Oct 7 21:33:19 2019 found 0 duplicates and 123055030 unique relations
  29. Mon Oct 7 21:33:19 2019 memory use: 378.4 MB
  30. Mon Oct 7 21:33:19 2019 reading ideals above 720000
  31. Mon Oct 7 21:33:19 2019 commencing singleton removal, initial pass
  32. Mon Oct 7 21:44:42 2019 memory use: 2756.0 MB
  33. Mon Oct 7 21:44:43 2019 reading all ideals from disk
  34. Mon Oct 7 21:44:45 2019 memory use: 4482.1 MB
  35. Mon Oct 7 21:44:54 2019 keeping 92081109 ideals with weight <= 200, target excess is 674820
  36. Mon Oct 7 21:45:05 2019 commencing in-memory singleton removal
  37. Mon Oct 7 21:45:12 2019 begin with 123055030 relations and 92081109 unique ideals
  38. Mon Oct 7 21:46:20 2019 reduce to 94128223 relations and 61010374 ideals in 10 passes
  39. Mon Oct 7 21:46:20 2019 max relations containing the same ideal: 176
  40. Mon Oct 7 21:46:49 2019 removing 6895398 relations and 4895398 ideals in 2000000 cliques
  41. Mon Oct 7 21:46:51 2019 commencing in-memory singleton removal
  42. Mon Oct 7 21:46:56 2019 begin with 87232825 relations and 61010374 unique ideals
  43. Mon Oct 7 21:47:32 2019 reduce to 86781196 relations and 55650840 ideals in 6 passes
  44. Mon Oct 7 21:47:32 2019 max relations containing the same ideal: 169
  45. Mon Oct 7 21:47:58 2019 removing 5661894 relations and 3661894 ideals in 2000000 cliques
  46. Mon Oct 7 21:48:01 2019 commencing in-memory singleton removal
  47. Mon Oct 7 21:48:05 2019 begin with 81119302 relations and 55650840 unique ideals
  48. Mon Oct 7 21:48:38 2019 reduce to 80831183 relations and 51693652 ideals in 6 passes
  49. Mon Oct 7 21:48:38 2019 max relations containing the same ideal: 162
  50. Mon Oct 7 21:49:02 2019 removing 5321375 relations and 3321375 ideals in 2000000 cliques
  51. Mon Oct 7 21:49:05 2019 commencing in-memory singleton removal
  52. Mon Oct 7 21:49:09 2019 begin with 75509808 relations and 51693652 unique ideals
  53. Mon Oct 7 21:49:39 2019 reduce to 75270811 relations and 48127516 ideals in 6 passes
  54. Mon Oct 7 21:49:39 2019 max relations containing the same ideal: 159
  55. Mon Oct 7 21:50:02 2019 removing 5129713 relations and 3129713 ideals in 2000000 cliques
  56. Mon Oct 7 21:50:04 2019 commencing in-memory singleton removal
  57. Mon Oct 7 21:50:08 2019 begin with 70141098 relations and 48127516 unique ideals
  58. Mon Oct 7 21:50:32 2019 reduce to 69925454 relations and 44776564 ideals in 5 passes
  59. Mon Oct 7 21:50:32 2019 max relations containing the same ideal: 149
  60. Mon Oct 7 21:50:53 2019 removing 5001436 relations and 3001436 ideals in 2000000 cliques
  61. Mon Oct 7 21:50:55 2019 commencing in-memory singleton removal
  62. Mon Oct 7 21:50:59 2019 begin with 64924018 relations and 44776564 unique ideals
  63. Mon Oct 7 21:51:24 2019 reduce to 64722320 relations and 41568188 ideals in 6 passes
  64. Mon Oct 7 21:51:24 2019 max relations containing the same ideal: 140
  65. Mon Oct 7 21:51:44 2019 removing 4904222 relations and 2904222 ideals in 2000000 cliques
  66. Mon Oct 7 21:51:46 2019 commencing in-memory singleton removal
  67. Mon Oct 7 21:51:49 2019 begin with 59818098 relations and 41568188 unique ideals
  68. Mon Oct 7 21:52:09 2019 reduce to 59623682 relations and 38464242 ideals in 5 passes
  69. Mon Oct 7 21:52:09 2019 max relations containing the same ideal: 133
  70. Mon Oct 7 21:52:27 2019 removing 4826769 relations and 2826769 ideals in 2000000 cliques
  71. Mon Oct 7 21:52:29 2019 commencing in-memory singleton removal
  72. Mon Oct 7 21:52:32 2019 begin with 54796913 relations and 38464242 unique ideals
  73. Mon Oct 7 21:52:50 2019 reduce to 54606048 relations and 35441059 ideals in 5 passes
  74. Mon Oct 7 21:52:50 2019 max relations containing the same ideal: 124
  75. Mon Oct 7 21:53:06 2019 removing 4759779 relations and 2759779 ideals in 2000000 cliques
  76. Mon Oct 7 21:53:08 2019 commencing in-memory singleton removal
  77. Mon Oct 7 21:53:11 2019 begin with 49846269 relations and 35441059 unique ideals
  78. Mon Oct 7 21:53:30 2019 reduce to 49654746 relations and 32484036 ideals in 6 passes
  79. Mon Oct 7 21:53:30 2019 max relations containing the same ideal: 117
  80. Mon Oct 7 21:53:45 2019 removing 4705723 relations and 2705723 ideals in 2000000 cliques
  81. Mon Oct 7 21:53:47 2019 commencing in-memory singleton removal
  82. Mon Oct 7 21:53:49 2019 begin with 44949023 relations and 32484036 unique ideals
  83. Mon Oct 7 21:54:03 2019 reduce to 44755154 relations and 29578123 ideals in 5 passes
  84. Mon Oct 7 21:54:03 2019 max relations containing the same ideal: 113
  85. Mon Oct 7 21:54:16 2019 removing 4655348 relations and 2655348 ideals in 2000000 cliques
  86. Mon Oct 7 21:54:18 2019 commencing in-memory singleton removal
  87. Mon Oct 7 21:54:20 2019 begin with 40099806 relations and 29578123 unique ideals
  88. Mon Oct 7 21:54:35 2019 reduce to 39902903 relations and 26718968 ideals in 6 passes
  89. Mon Oct 7 21:54:35 2019 max relations containing the same ideal: 107
  90. Mon Oct 7 21:54:47 2019 removing 4609126 relations and 2609126 ideals in 2000000 cliques
  91. Mon Oct 7 21:54:48 2019 commencing in-memory singleton removal
  92. Mon Oct 7 21:54:50 2019 begin with 35293777 relations and 26718968 unique ideals
  93. Mon Oct 7 21:55:01 2019 reduce to 35090007 relations and 23898433 ideals in 5 passes
  94. Mon Oct 7 21:55:01 2019 max relations containing the same ideal: 99
  95. Mon Oct 7 21:55:12 2019 removing 4563439 relations and 2563439 ideals in 2000000 cliques
  96. Mon Oct 7 21:55:13 2019 commencing in-memory singleton removal
  97. Mon Oct 7 21:55:15 2019 begin with 30526568 relations and 23898433 unique ideals
  98. Mon Oct 7 21:55:26 2019 reduce to 30313272 relations and 21112964 ideals in 6 passes
  99. Mon Oct 7 21:55:26 2019 max relations containing the same ideal: 94
  100. Mon Oct 7 21:55:35 2019 removing 4518078 relations and 2518078 ideals in 2000000 cliques
  101. Mon Oct 7 21:55:36 2019 commencing in-memory singleton removal
  102. Mon Oct 7 21:55:38 2019 begin with 25795194 relations and 21112964 unique ideals
  103. Mon Oct 7 21:55:47 2019 reduce to 25568409 relations and 18357954 ideals in 6 passes
  104. Mon Oct 7 21:55:47 2019 max relations containing the same ideal: 83
  105. Mon Oct 7 21:55:54 2019 removing 4464706 relations and 2464706 ideals in 2000000 cliques
  106. Mon Oct 7 21:55:55 2019 commencing in-memory singleton removal
  107. Mon Oct 7 21:55:56 2019 begin with 21103703 relations and 18357954 unique ideals
  108. Mon Oct 7 21:56:04 2019 reduce to 20856150 relations and 15633141 ideals in 6 passes
  109. Mon Oct 7 21:56:04 2019 max relations containing the same ideal: 69
  110. Mon Oct 7 21:56:10 2019 removing 4410238 relations and 2410238 ideals in 2000000 cliques
  111. Mon Oct 7 21:56:11 2019 commencing in-memory singleton removal
  112. Mon Oct 7 21:56:12 2019 begin with 16445912 relations and 15633141 unique ideals
  113. Mon Oct 7 21:56:18 2019 reduce to 16161677 relations and 12921977 ideals in 6 passes
  114. Mon Oct 7 21:56:18 2019 max relations containing the same ideal: 56
  115. Mon Oct 7 21:56:22 2019 removing 4356161 relations and 2356161 ideals in 2000000 cliques
  116. Mon Oct 7 21:56:23 2019 commencing in-memory singleton removal
  117. Mon Oct 7 21:56:24 2019 begin with 11805516 relations and 12921977 unique ideals
  118. Mon Oct 7 21:56:28 2019 reduce to 11453899 relations and 10190333 ideals in 7 passes
  119. Mon Oct 7 21:56:28 2019 max relations containing the same ideal: 45
  120. Mon Oct 7 21:56:31 2019 removing 1244413 relations and 763639 ideals in 480774 cliques
  121. Mon Oct 7 21:56:32 2019 commencing in-memory singleton removal
  122. Mon Oct 7 21:56:32 2019 begin with 10209486 relations and 10190333 unique ideals
  123. Mon Oct 7 21:56:36 2019 reduce to 10047109 relations and 9257165 ideals in 6 passes
  124. Mon Oct 7 21:56:36 2019 max relations containing the same ideal: 40
  125. Mon Oct 7 21:56:39 2019 relations with 0 large ideals: 49328
  126. Mon Oct 7 21:56:39 2019 relations with 1 large ideals: 34133
  127. Mon Oct 7 21:56:39 2019 relations with 2 large ideals: 308141
  128. Mon Oct 7 21:56:39 2019 relations with 3 large ideals: 1144825
  129. Mon Oct 7 21:56:39 2019 relations with 4 large ideals: 2306945
  130. Mon Oct 7 21:56:39 2019 relations with 5 large ideals: 3018795
  131. Mon Oct 7 21:56:39 2019 relations with 6 large ideals: 1953310
  132. Mon Oct 7 21:56:39 2019 relations with 7+ large ideals: 1231632
  133. Mon Oct 7 21:56:39 2019 commencing 2-way merge
  134. Mon Oct 7 21:56:43 2019 reduce to 8165341 relation sets and 7375397 unique ideals
  135. Mon Oct 7 21:56:43 2019 commencing full merge
  136. Mon Oct 7 21:59:09 2019 memory use: 795.8 MB
  137. Mon Oct 7 21:59:10 2019 found 3227162 cycles, need 3225597
  138. Mon Oct 7 21:59:10 2019 weight of 3225597 cycles is about 419508954 (130.06/cycle)
  139. Mon Oct 7 21:59:10 2019 distribution of cycle lengths:
  140. Mon Oct 7 21:59:10 2019 1 relations: 77514
  141. Mon Oct 7 21:59:10 2019 2 relations: 122137
  142. Mon Oct 7 21:59:10 2019 3 relations: 182460
  143. Mon Oct 7 21:59:10 2019 4 relations: 212691
  144. Mon Oct 7 21:59:10 2019 5 relations: 227660
  145. Mon Oct 7 21:59:10 2019 6 relations: 229258
  146. Mon Oct 7 21:59:10 2019 7 relations: 223689
  147. Mon Oct 7 21:59:10 2019 8 relations: 211869
  148. Mon Oct 7 21:59:10 2019 9 relations: 200384
  149. Mon Oct 7 21:59:10 2019 10+ relations: 1537935
  150. Mon Oct 7 21:59:10 2019 heaviest cycle: 28 relations
  151. Mon Oct 7 21:59:11 2019 commencing cycle optimization
  152. Mon Oct 7 21:59:18 2019 start with 33227528 relations
  153. Mon Oct 7 22:00:51 2019 pruned 2688270 relations
  154. Mon Oct 7 22:00:51 2019 memory use: 745.4 MB
  155. Mon Oct 7 22:00:51 2019 distribution of cycle lengths:
  156. Mon Oct 7 22:00:51 2019 1 relations: 77514
  157. Mon Oct 7 22:00:51 2019 2 relations: 127157
  158. Mon Oct 7 22:00:51 2019 3 relations: 194477
  159. Mon Oct 7 22:00:51 2019 4 relations: 229073
  160. Mon Oct 7 22:00:51 2019 5 relations: 249425
  161. Mon Oct 7 22:00:51 2019 6 relations: 251147
  162. Mon Oct 7 22:00:51 2019 7 relations: 246983
  163. Mon Oct 7 22:00:51 2019 8 relations: 232984
  164. Mon Oct 7 22:00:51 2019 9 relations: 219027
  165. Mon Oct 7 22:00:51 2019 10+ relations: 1397810
  166. Mon Oct 7 22:00:51 2019 heaviest cycle: 28 relations
  167. Mon Oct 7 22:00:58 2019 RelProcTime: 2417
  168. Mon Oct 7 22:00:58 2019
  169. Mon Oct 7 22:00:58 2019 commencing linear algebra
  170. Mon Oct 7 22:00:59 2019 read 3225597 cycles
  171. Mon Oct 7 22:01:06 2019 cycles contain 9703449 unique relations
  172. Mon Oct 7 22:01:48 2019 read 9703449 relations
  173. Mon Oct 7 22:02:07 2019 using 20 quadratic characters above 4294917295
  174. Mon Oct 7 22:02:43 2019 building initial matrix
  175. Mon Oct 7 22:04:28 2019 memory use: 1245.2 MB
  176. Mon Oct 7 22:04:31 2019 read 3225597 cycles
  177. Mon Oct 7 22:04:31 2019 matrix is 3225420 x 3225597 (1557.8 MB) with weight 447124801 (138.62/col)
  178. Mon Oct 7 22:04:31 2019 sparse part has weight 372881253 (115.60/col)
  179. Mon Oct 7 22:05:04 2019 filtering completed in 2 passes
  180. Mon Oct 7 22:05:04 2019 matrix is 3225376 x 3225553 (1557.8 MB) with weight 447122755 (138.62/col)
  181. Mon Oct 7 22:05:04 2019 sparse part has weight 372880262 (115.60/col)
  182. Mon Oct 7 22:05:15 2019 matrix starts at (0, 0)
  183. Mon Oct 7 22:05:15 2019 matrix is 3225376 x 3225553 (1557.8 MB) with weight 447122755 (138.62/col)
  184. Mon Oct 7 22:05:15 2019 sparse part has weight 372880262 (115.60/col)
  185. Mon Oct 7 22:05:15 2019 saving the first 48 matrix rows for later
  186. Mon Oct 7 22:05:16 2019 matrix includes 64 packed rows
  187. Mon Oct 7 22:05:16 2019 matrix is 3225328 x 3225553 (1490.0 MB) with weight 385495738 (119.51/col)
  188. Mon Oct 7 22:05:16 2019 sparse part has weight 358329891 (111.09/col)
  189. Mon Oct 7 22:05:16 2019 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  190. Mon Oct 7 22:05:32 2019 commencing Lanczos iteration (8 threads)
  191. Mon Oct 7 22:05:32 2019 memory use: 1250.2 MB
  192. Mon Oct 7 22:05:37 2019 linear algebra at 0.0%, ETA 2h56m
  193. Mon Oct 7 22:05:39 2019 checkpointing every 1050000 dimensions
  194. Tue Oct 8 01:13:22 2019 lanczos halted after 51004 iterations (dim = 3225328)
  195. Tue Oct 8 01:13:25 2019 recovered 37 nontrivial dependencies
  196. Tue Oct 8 01:13:25 2019 BLanczosTime: 11547
  197. Tue Oct 8 01:13:25 2019
  198. Tue Oct 8 01:13:25 2019 commencing square root phase
  199. Tue Oct 8 01:13:25 2019 handling dependencies 1 to 64
  200. Tue Oct 8 01:13:25 2019 reading relations for dependency 1
  201. Tue Oct 8 01:13:26 2019 read 1614942 cycles
  202. Tue Oct 8 01:13:29 2019 cycles contain 4854068 unique relations
  203. Tue Oct 8 01:13:53 2019 read 4854068 relations
  204. Tue Oct 8 01:14:11 2019 multiplying 4854068 relations
  205. Tue Oct 8 01:15:15 2019 multiply complete, coefficients have about 121.30 million bits
  206. Tue Oct 8 01:15:15 2019 initial square root is modulo 508615697
  207. Tue Oct 8 01:16:20 2019 sqrtTime: 175
  208. Tue Oct 8 01:16:20 2019 p99 factor: 407475631583262544361879365451374332026082651360045008640365690888446319808877071192568059782645521
  209. Tue Oct 8 01:16:20 2019 p104 factor: 26961597546304999917078560282179107872830288090959007452401262891606280121680898908925340702028587058631
  210. Tue Oct 8 01:16:20 2019 elapsed time 03:55:40
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