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Jul 20th, 2019
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  1. Fri Jul 19 21:21:00 2019
  2. Fri Jul 19 21:21:00 2019
  3. Fri Jul 19 21:21:00 2019 Msieve v. 1.52 (SVN unknown)
  4. Fri Jul 19 21:21:00 2019 random seeds: 4fb0414c 232290e6
  5. Fri Jul 19 21:21:00 2019 factoring 3595590975352748209296187365037132663243996739022318424995084176992814169741640084030400789912545816854253437850682988671562452150923873370643318899254336481 (157 digits)
  6. Fri Jul 19 21:21:01 2019 no P-1/P+1/ECM available, skipping
  7. Fri Jul 19 21:21:01 2019 commencing number field sieve (157-digit input)
  8. Fri Jul 19 21:21:01 2019 R0: -4547929387392305821092174500969
  9. Fri Jul 19 21:21:01 2019 R1: 4523982869935099
  10. Fri Jul 19 21:21:01 2019 A0: -26611420847216989426289753699933737406100
  11. Fri Jul 19 21:21:01 2019 A1: 1530360959676114961658547717158748
  12. Fri Jul 19 21:21:01 2019 A2: 652490685128004906297452516
  13. Fri Jul 19 21:21:01 2019 A3: -21274257355037627809
  14. Fri Jul 19 21:21:01 2019 A4: -1071718531894
  15. Fri Jul 19 21:21:01 2019 A5: 1848
  16. Fri Jul 19 21:21:01 2019 skew 26619124.43, size 2.918e-015, alpha -8.310, combined = 2.097e-012 rroots = 5
  17. Fri Jul 19 21:21:01 2019
  18. Fri Jul 19 21:21:01 2019 commencing relation filtering
  19. Fri Jul 19 21:21:01 2019 setting target matrix density to 108.0
  20. Fri Jul 19 21:21:01 2019 estimated available RAM is 8066.9 MB
  21. Fri Jul 19 21:21:01 2019 commencing duplicate removal, pass 1
  22. Fri Jul 19 21:21:35 2019 error -5 reading relation 3770324
  23. Fri Jul 19 21:21:45 2019 error -9 reading relation 4868781
  24. Fri Jul 19 21:21:49 2019 error -1 reading relation 5267599
  25. Fri Jul 19 21:21:49 2019 error -9 reading relation 5281797
  26. Fri Jul 19 21:21:49 2019 error -15 reading relation 5287803
  27. Fri Jul 19 21:22:15 2019 error -15 reading relation 8288972
  28. Fri Jul 19 21:22:15 2019 error -9 reading relation 8289369
  29. Fri Jul 19 21:30:07 2019 error -1 reading relation 60909097
  30. Fri Jul 19 21:30:07 2019 error -9 reading relation 60939008
  31. Fri Jul 19 21:30:08 2019 error -9 reading relation 60956051
  32. Fri Jul 19 21:30:12 2019 error -9 reading relation 61433478
  33. Fri Jul 19 21:30:12 2019 found 12427239 hash collisions in 61433673 relations
  34. Fri Jul 19 21:30:53 2019 added 122146 free relations
  35. Fri Jul 19 21:30:53 2019 commencing duplicate removal, pass 2
  36. Fri Jul 19 21:31:21 2019 found 12140966 duplicates and 49414853 unique relations
  37. Fri Jul 19 21:31:21 2019 memory use: 330.4 MB
  38. Fri Jul 19 21:31:21 2019 reading ideals above 59310080
  39. Fri Jul 19 21:31:21 2019 commencing singleton removal, initial pass
  40. Fri Jul 19 21:39:06 2019 memory use: 753.0 MB
  41. Fri Jul 19 21:39:06 2019 reading all ideals from disk
  42. Fri Jul 19 21:39:07 2019 memory use: 802.0 MB
  43. Fri Jul 19 21:39:08 2019 commencing in-memory singleton removal
  44. Fri Jul 19 21:39:10 2019 begin with 49414853 relations and 39975401 unique ideals
  45. Fri Jul 19 21:39:23 2019 reduce to 31187805 relations and 19827320 ideals in 13 passes
  46. Fri Jul 19 21:39:23 2019 max relations containing the same ideal: 35
  47. Fri Jul 19 21:39:25 2019 reading ideals above 720000
  48. Fri Jul 19 21:39:25 2019 commencing singleton removal, initial pass
  49. Fri Jul 19 21:45:01 2019 memory use: 689.0 MB
  50. Fri Jul 19 21:45:01 2019 reading all ideals from disk
  51. Fri Jul 19 21:45:03 2019 memory use: 1122.5 MB
  52. Fri Jul 19 21:45:05 2019 keeping 26694501 ideals with weight <= 200, target excess is 169580
  53. Fri Jul 19 21:45:08 2019 commencing in-memory singleton removal
  54. Fri Jul 19 21:45:10 2019 begin with 31187813 relations and 26694501 unique ideals
  55. Fri Jul 19 21:45:33 2019 reduce to 31084322 relations and 26590930 ideals in 10 passes
  56. Fri Jul 19 21:45:33 2019 max relations containing the same ideal: 200
  57. Fri Jul 19 21:45:45 2019 removing 4707071 relations and 3707071 ideals in 1000000 cliques
  58. Fri Jul 19 21:45:46 2019 commencing in-memory singleton removal
  59. Fri Jul 19 21:45:48 2019 begin with 26377251 relations and 26590930 unique ideals
  60. Fri Jul 19 21:46:05 2019 reduce to 25841337 relations and 22327051 ideals in 9 passes
  61. Fri Jul 19 21:46:05 2019 max relations containing the same ideal: 184
  62. Fri Jul 19 21:46:15 2019 removing 3698032 relations and 2698032 ideals in 1000000 cliques
  63. Fri Jul 19 21:46:16 2019 commencing in-memory singleton removal
  64. Fri Jul 19 21:46:18 2019 begin with 22143305 relations and 22327051 unique ideals
  65. Fri Jul 19 21:46:30 2019 reduce to 21758919 relations and 19230305 ideals in 8 passes
  66. Fri Jul 19 21:46:30 2019 max relations containing the same ideal: 166
  67. Fri Jul 19 21:46:39 2019 removing 3404855 relations and 2404855 ideals in 1000000 cliques
  68. Fri Jul 19 21:46:40 2019 commencing in-memory singleton removal
  69. Fri Jul 19 21:46:41 2019 begin with 18354064 relations and 19230305 unique ideals
  70. Fri Jul 19 21:46:52 2019 reduce to 17986644 relations and 16442745 ideals in 8 passes
  71. Fri Jul 19 21:46:52 2019 max relations containing the same ideal: 146
  72. Fri Jul 19 21:46:59 2019 removing 3255567 relations and 2255567 ideals in 1000000 cliques
  73. Fri Jul 19 21:47:00 2019 commencing in-memory singleton removal
  74. Fri Jul 19 21:47:01 2019 begin with 14731077 relations and 16442745 unique ideals
  75. Fri Jul 19 21:47:09 2019 reduce to 14341537 relations and 13778756 ideals in 8 passes
  76. Fri Jul 19 21:47:09 2019 max relations containing the same ideal: 126
  77. Fri Jul 19 21:47:15 2019 removing 1436739 relations and 1070671 ideals in 366068 cliques
  78. Fri Jul 19 21:47:15 2019 commencing in-memory singleton removal
  79. Fri Jul 19 21:47:16 2019 begin with 12904798 relations and 13778756 unique ideals
  80. Fri Jul 19 21:47:22 2019 reduce to 12815360 relations and 12616638 ideals in 6 passes
  81. Fri Jul 19 21:47:22 2019 max relations containing the same ideal: 118
  82. Fri Jul 19 21:47:29 2019 relations with 0 large ideals: 562
  83. Fri Jul 19 21:47:29 2019 relations with 1 large ideals: 741
  84. Fri Jul 19 21:47:29 2019 relations with 2 large ideals: 12511
  85. Fri Jul 19 21:47:29 2019 relations with 3 large ideals: 115415
  86. Fri Jul 19 21:47:29 2019 relations with 4 large ideals: 570324
  87. Fri Jul 19 21:47:29 2019 relations with 5 large ideals: 1675686
  88. Fri Jul 19 21:47:29 2019 relations with 6 large ideals: 3073023
  89. Fri Jul 19 21:47:29 2019 relations with 7+ large ideals: 7367098
  90. Fri Jul 19 21:47:29 2019 commencing 2-way merge
  91. Fri Jul 19 21:47:36 2019 reduce to 8609366 relation sets and 8410644 unique ideals
  92. Fri Jul 19 21:47:36 2019 commencing full merge
  93. Fri Jul 19 21:50:25 2019 memory use: 1081.5 MB
  94. Fri Jul 19 21:50:26 2019 found 4037202 cycles, need 4016844
  95. Fri Jul 19 21:50:26 2019 weight of 4016844 cycles is about 434164782 (108.09/cycle)
  96. Fri Jul 19 21:50:26 2019 distribution of cycle lengths:
  97. Fri Jul 19 21:50:26 2019 1 relations: 136082
  98. Fri Jul 19 21:50:26 2019 2 relations: 276423
  99. Fri Jul 19 21:50:26 2019 3 relations: 337766
  100. Fri Jul 19 21:50:26 2019 4 relations: 349636
  101. Fri Jul 19 21:50:26 2019 5 relations: 355857
  102. Fri Jul 19 21:50:26 2019 6 relations: 344364
  103. Fri Jul 19 21:50:26 2019 7 relations: 328300
  104. Fri Jul 19 21:50:26 2019 8 relations: 304573
  105. Fri Jul 19 21:50:26 2019 9 relations: 276439
  106. Fri Jul 19 21:50:26 2019 10+ relations: 1307404
  107. Fri Jul 19 21:50:26 2019 heaviest cycle: 27 relations
  108. Fri Jul 19 21:50:28 2019 commencing cycle optimization
  109. Fri Jul 19 21:50:34 2019 start with 31780487 relations
  110. Fri Jul 19 21:51:39 2019 pruned 1418242 relations
  111. Fri Jul 19 21:51:39 2019 memory use: 865.6 MB
  112. Fri Jul 19 21:51:39 2019 distribution of cycle lengths:
  113. Fri Jul 19 21:51:39 2019 1 relations: 136082
  114. Fri Jul 19 21:51:39 2019 2 relations: 284864
  115. Fri Jul 19 21:51:39 2019 3 relations: 354789
  116. Fri Jul 19 21:51:39 2019 4 relations: 366151
  117. Fri Jul 19 21:51:39 2019 5 relations: 374512
  118. Fri Jul 19 21:51:39 2019 6 relations: 360153
  119. Fri Jul 19 21:51:39 2019 7 relations: 344005
  120. Fri Jul 19 21:51:39 2019 8 relations: 316181
  121. Fri Jul 19 21:51:39 2019 9 relations: 285358
  122. Fri Jul 19 21:51:39 2019 10+ relations: 1194749
  123. Fri Jul 19 21:51:39 2019 heaviest cycle: 26 relations
  124. Fri Jul 19 21:51:43 2019 RelProcTime: 1842
  125. Fri Jul 19 21:51:43 2019
  126. Fri Jul 19 21:51:43 2019 commencing linear algebra
  127. Fri Jul 19 21:51:44 2019 read 4016844 cycles
  128. Fri Jul 19 21:51:51 2019 cycles contain 12698468 unique relations
  129. Fri Jul 19 21:53:53 2019 read 12698468 relations
  130. Fri Jul 19 21:54:10 2019 using 20 quadratic characters above 536870718
  131. Fri Jul 19 21:54:56 2019 building initial matrix
  132. Fri Jul 19 21:57:18 2019 memory use: 1783.7 MB
  133. Fri Jul 19 21:57:21 2019 read 4016844 cycles
  134. Fri Jul 19 21:57:23 2019 matrix is 4016666 x 4016844 (1728.7 MB) with weight 542852361 (135.14/col)
  135. Fri Jul 19 21:57:23 2019 sparse part has weight 404965901 (100.82/col)
  136. Fri Jul 19 21:58:01 2019 filtering completed in 2 passes
  137. Fri Jul 19 21:58:03 2019 matrix is 4016599 x 4016777 (1728.7 MB) with weight 542849300 (135.15/col)
  138. Fri Jul 19 21:58:03 2019 sparse part has weight 404965242 (100.82/col)
  139. Fri Jul 19 21:58:13 2019 matrix starts at (0, 0)
  140. Fri Jul 19 21:58:14 2019 matrix is 4016599 x 4016777 (1728.7 MB) with weight 542849300 (135.15/col)
  141. Fri Jul 19 21:58:14 2019 sparse part has weight 404965242 (100.82/col)
  142. Fri Jul 19 21:58:14 2019 saving the first 48 matrix rows for later
  143. Fri Jul 19 21:58:16 2019 matrix includes 64 packed rows
  144. Fri Jul 19 21:58:17 2019 matrix is 4016551 x 4016777 (1696.1 MB) with weight 459258247 (114.34/col)
  145. Fri Jul 19 21:58:17 2019 sparse part has weight 404460414 (100.69/col)
  146. Fri Jul 19 21:58:17 2019 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  147. Fri Jul 19 21:58:36 2019 commencing Lanczos iteration (8 threads)
  148. Fri Jul 19 21:58:36 2019 memory use: 1384.5 MB
  149. Fri Jul 19 21:58:53 2019 linear algebra at 0.0%, ETA 11h42m
  150. Fri Jul 19 21:58:58 2019 checkpointing every 350000 dimensions
  151. Sat Jul 20 09:42:08 2019 lanczos halted after 63519 iterations (dim = 4016551)
  152. Sat Jul 20 09:42:12 2019 recovered 32 nontrivial dependencies
  153. Sat Jul 20 09:42:12 2019 BLanczosTime: 42629
  154. Sat Jul 20 09:42:12 2019
  155. Sat Jul 20 09:42:12 2019 commencing square root phase
  156. Sat Jul 20 09:42:12 2019 handling dependencies 1 to 64
  157. Sat Jul 20 09:42:12 2019 reading relations for dependency 1
  158. Sat Jul 20 09:42:13 2019 read 2008739 cycles
  159. Sat Jul 20 09:42:16 2019 cycles contain 6351078 unique relations
  160. Sat Jul 20 09:43:23 2019 read 6351078 relations
  161. Sat Jul 20 09:43:53 2019 multiplying 6351078 relations
  162. Sat Jul 20 09:50:33 2019 multiply complete, coefficients have about 323.27 million bits
  163. Sat Jul 20 09:50:37 2019 initial square root is modulo 631733
  164. Sat Jul 20 09:59:27 2019 GCD is N, no factor found
  165. Sat Jul 20 09:59:27 2019 reading relations for dependency 2
  166. Sat Jul 20 09:59:28 2019 read 2008146 cycles
  167. Sat Jul 20 09:59:31 2019 cycles contain 6350668 unique relations
  168. Sat Jul 20 10:00:38 2019 read 6350668 relations
  169. Sat Jul 20 10:01:08 2019 multiplying 6350668 relations
  170. Sat Jul 20 10:07:50 2019 multiply complete, coefficients have about 323.24 million bits
  171. Sat Jul 20 10:07:54 2019 initial square root is modulo 631013
  172. Sat Jul 20 10:22:07 2019 GCD is 1, no factor found
  173. Sat Jul 20 10:22:07 2019 reading relations for dependency 3
  174. Sat Jul 20 10:22:08 2019 read 2007511 cycles
  175. Sat Jul 20 10:22:12 2019 cycles contain 6345238 unique relations
  176. Sat Jul 20 10:23:55 2019 read 6345238 relations
  177. Sat Jul 20 10:24:36 2019 multiplying 6345238 relations
  178. Sat Jul 20 10:35:48 2019 multiply complete, coefficients have about 322.97 million bits
  179. Sat Jul 20 10:35:54 2019 initial square root is modulo 624139
  180. Sat Jul 20 10:50:39 2019 sqrtTime: 4107
  181. Sat Jul 20 10:50:39 2019 prp56 factor: 31713119845876619909815508590062079947631555975379014721
  182. Sat Jul 20 10:50:39 2019 prp102 factor: 113378658196577638549673891339947450403088598817473888416342286254866997638391565544784886503090118561
  183. Sat Jul 20 10:50:39 2019 elapsed time 13:29:39
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