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Aug 12th, 2019
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  1. Mon Aug 5 20:41:56 2019
  2. Mon Aug 5 20:41:56 2019
  3. Mon Aug 5 20:41:56 2019 Msieve v. 1.54 (SVN 1025)
  4. Mon Aug 5 20:41:56 2019 random seeds: 7ca841fb bc06f818
  5. Mon Aug 5 20:41:56 2019 factoring 63069220557500519603432761765425522806843945868172200597667858771479456602158381580604884455112621867180440050993335648571539085829433192394549583175612404906691105860910201002015426784371730582104908036221 (206 digits)
  6. Mon Aug 5 20:41:57 2019 searching for 15-digit factors
  7. Mon Aug 5 20:41:58 2019 commencing number field sieve (206-digit input)
  8. Mon Aug 5 20:41:58 2019 R0: 1021700124811674880570504490
  9. Mon Aug 5 20:41:58 2019 R1: -31964044249933
  10. Mon Aug 5 20:41:58 2019 A0: 1
  11. Mon Aug 5 20:41:58 2019 A1: -4
  12. Mon Aug 5 20:41:58 2019 A2: -10
  13. Mon Aug 5 20:41:58 2019 A3: 10
  14. Mon Aug 5 20:41:58 2019 A4: 15
  15. Mon Aug 5 20:41:58 2019 A5: -6
  16. Mon Aug 5 20:41:58 2019 A6: -7
  17. Mon Aug 5 20:41:58 2019 A7: 1
  18. Mon Aug 5 20:41:58 2019 A8: 1
  19. Mon Aug 5 20:41:58 2019 skew 1.00, size 2.633e-06, alpha 3.205, combined = 9.632e-14 rroots = 8
  20. Mon Aug 5 20:41:58 2019
  21. Mon Aug 5 20:41:58 2019 commencing relation filtering
  22. Mon Aug 5 20:41:58 2019 setting target matrix density to 108.0
  23. Mon Aug 5 20:41:58 2019 estimated available RAM is 15984.7 MB
  24. Mon Aug 5 20:41:58 2019 commencing duplicate removal, pass 1
  25. Mon Aug 5 20:49:25 2019 error -15 reading relation 59477130
  26. Mon Aug 5 20:52:18 2019 error -1 reading relation 82134288
  27. Mon Aug 5 20:59:50 2019 error -11 reading relation 140482705
  28. Mon Aug 5 21:03:31 2019 error -15 reading relation 168543879
  29. Mon Aug 5 21:06:36 2019 skipped 32 relations with b > 2^32
  30. Mon Aug 5 21:06:36 2019 skipped 14 relations with composite factors
  31. Mon Aug 5 21:06:36 2019 found 7759607 hash collisions in 187908349 relations
  32. Mon Aug 5 21:06:36 2019 commencing duplicate removal, pass 2
  33. Mon Aug 5 21:08:15 2019 found 0 duplicates and 187908349 unique relations
  34. Mon Aug 5 21:08:15 2019 memory use: 522.4 MB
  35. Mon Aug 5 21:08:15 2019 reading ideals above 117243904
  36. Mon Aug 5 21:08:15 2019 commencing singleton removal, initial pass
  37. Mon Aug 5 21:27:22 2019 memory use: 3012.0 MB
  38. Mon Aug 5 21:27:22 2019 reading all ideals from disk
  39. Mon Aug 5 21:27:30 2019 memory use: 3921.8 MB
  40. Mon Aug 5 21:27:41 2019 commencing in-memory singleton removal
  41. Mon Aug 5 21:27:52 2019 begin with 187908349 relations and 163246950 unique ideals
  42. Mon Aug 5 21:30:04 2019 reduce to 125088324 relations and 94366028 ideals in 15 passes
  43. Mon Aug 5 21:30:04 2019 max relations containing the same ideal: 41
  44. Mon Aug 5 21:30:14 2019 reading ideals above 720000
  45. Mon Aug 5 21:30:15 2019 commencing singleton removal, initial pass
  46. Mon Aug 5 21:46:46 2019 memory use: 2756.0 MB
  47. Mon Aug 5 21:46:46 2019 reading all ideals from disk
  48. Mon Aug 5 21:46:57 2019 memory use: 4956.5 MB
  49. Mon Aug 5 21:47:15 2019 keeping 107124527 ideals with weight <= 200, target excess is 626724
  50. Mon Aug 5 21:47:32 2019 commencing in-memory singleton removal
  51. Mon Aug 5 21:47:46 2019 begin with 125088324 relations and 107124527 unique ideals
  52. Mon Aug 5 21:49:31 2019 reduce to 125084364 relations and 107120567 ideals in 8 passes
  53. Mon Aug 5 21:49:31 2019 max relations containing the same ideal: 200
  54. Mon Aug 5 21:50:37 2019 removing 11190478 relations and 9190478 ideals in 2000000 cliques
  55. Mon Aug 5 21:50:40 2019 commencing in-memory singleton removal
  56. Mon Aug 5 21:50:53 2019 begin with 113893886 relations and 107120567 unique ideals
  57. Mon Aug 5 21:52:30 2019 reduce to 113052928 relations and 97071249 ideals in 8 passes
  58. Mon Aug 5 21:52:30 2019 max relations containing the same ideal: 197
  59. Mon Aug 5 21:53:27 2019 removing 8640668 relations and 6640668 ideals in 2000000 cliques
  60. Mon Aug 5 21:53:30 2019 commencing in-memory singleton removal
  61. Mon Aug 5 21:53:42 2019 begin with 104412260 relations and 97071249 unique ideals
  62. Mon Aug 5 21:55:17 2019 reduce to 103843006 relations and 89850649 ideals in 9 passes
  63. Mon Aug 5 21:55:17 2019 max relations containing the same ideal: 187
  64. Mon Aug 5 21:56:08 2019 removing 7889210 relations and 5889210 ideals in 2000000 cliques
  65. Mon Aug 5 21:56:11 2019 commencing in-memory singleton removal
  66. Mon Aug 5 21:56:20 2019 begin with 95953796 relations and 89850649 unique ideals
  67. Mon Aug 5 21:57:35 2019 reduce to 95438131 relations and 83436108 ideals in 8 passes
  68. Mon Aug 5 21:57:35 2019 max relations containing the same ideal: 178
  69. Mon Aug 5 21:58:21 2019 removing 7519116 relations and 5519116 ideals in 2000000 cliques
  70. Mon Aug 5 21:58:24 2019 commencing in-memory singleton removal
  71. Mon Aug 5 21:58:33 2019 begin with 87919015 relations and 83436108 unique ideals
  72. Mon Aug 5 21:59:41 2019 reduce to 87417791 relations and 77405956 ideals in 8 passes
  73. Mon Aug 5 21:59:41 2019 max relations containing the same ideal: 169
  74. Mon Aug 5 22:00:23 2019 removing 7313253 relations and 5313253 ideals in 2000000 cliques
  75. Mon Aug 5 22:00:26 2019 commencing in-memory singleton removal
  76. Mon Aug 5 22:00:33 2019 begin with 80104538 relations and 77405956 unique ideals
  77. Mon Aug 5 22:01:26 2019 reduce to 79597531 relations and 71575262 ideals in 7 passes
  78. Mon Aug 5 22:01:26 2019 max relations containing the same ideal: 159
  79. Mon Aug 5 22:02:05 2019 removing 7190906 relations and 5190906 ideals in 2000000 cliques
  80. Mon Aug 5 22:02:07 2019 commencing in-memory singleton removal
  81. Mon Aug 5 22:02:14 2019 begin with 72406625 relations and 71575262 unique ideals
  82. Mon Aug 5 22:03:07 2019 reduce to 71874882 relations and 65840733 ideals in 8 passes
  83. Mon Aug 5 22:03:07 2019 max relations containing the same ideal: 146
  84. Mon Aug 5 22:03:43 2019 removing 7127776 relations and 5127776 ideals in 2000000 cliques
  85. Mon Aug 5 22:03:45 2019 commencing in-memory singleton removal
  86. Mon Aug 5 22:03:51 2019 begin with 64747106 relations and 65840733 unique ideals
  87. Mon Aug 5 22:04:36 2019 reduce to 64173181 relations and 60125003 ideals in 8 passes
  88. Mon Aug 5 22:04:36 2019 max relations containing the same ideal: 139
  89. Mon Aug 5 22:05:07 2019 removing 7122181 relations and 5122181 ideals in 2000000 cliques
  90. Mon Aug 5 22:05:10 2019 commencing in-memory singleton removal
  91. Mon Aug 5 22:05:15 2019 begin with 57051000 relations and 60125003 unique ideals
  92. Mon Aug 5 22:05:54 2019 reduce to 56400244 relations and 54334369 ideals in 8 passes
  93. Mon Aug 5 22:05:54 2019 max relations containing the same ideal: 131
  94. Mon Aug 5 22:06:21 2019 removing 5213030 relations and 3874155 ideals in 1338875 cliques
  95. Mon Aug 5 22:06:23 2019 commencing in-memory singleton removal
  96. Mon Aug 5 22:06:27 2019 begin with 51187214 relations and 54334369 unique ideals
  97. Mon Aug 5 22:07:02 2019 reduce to 50791242 relations and 50055747 ideals in 8 passes
  98. Mon Aug 5 22:07:02 2019 max relations containing the same ideal: 119
  99. Mon Aug 5 22:07:27 2019 removing 69390 relations and 60895 ideals in 8495 cliques
  100. Mon Aug 5 22:07:28 2019 commencing in-memory singleton removal
  101. Mon Aug 5 22:07:32 2019 begin with 50721852 relations and 50055747 unique ideals
  102. Mon Aug 5 22:07:49 2019 reduce to 50721769 relations and 49994769 ideals in 4 passes
  103. Mon Aug 5 22:07:49 2019 max relations containing the same ideal: 119
  104. Mon Aug 5 22:08:00 2019 relations with 0 large ideals: 29191
  105. Mon Aug 5 22:08:00 2019 relations with 1 large ideals: 27004
  106. Mon Aug 5 22:08:00 2019 relations with 2 large ideals: 176723
  107. Mon Aug 5 22:08:00 2019 relations with 3 large ideals: 1088832
  108. Mon Aug 5 22:08:00 2019 relations with 4 large ideals: 3842077
  109. Mon Aug 5 22:08:00 2019 relations with 5 large ideals: 8514764
  110. Mon Aug 5 22:08:00 2019 relations with 6 large ideals: 12423955
  111. Mon Aug 5 22:08:00 2019 relations with 7+ large ideals: 24619223
  112. Mon Aug 5 22:08:00 2019 commencing 2-way merge
  113. Mon Aug 5 22:08:32 2019 reduce to 33975921 relation sets and 33248921 unique ideals
  114. Mon Aug 5 22:08:32 2019 commencing full merge
  115. Mon Aug 5 22:21:14 2019 memory use: 4144.5 MB
  116. Mon Aug 5 22:21:17 2019 found 15342510 cycles, need 15323121
  117. Mon Aug 5 22:21:22 2019 weight of 15323121 cycles is about 1655469586 (108.04/cycle)
  118. Mon Aug 5 22:21:22 2019 distribution of cycle lengths:
  119. Mon Aug 5 22:21:22 2019 1 relations: 1105753
  120. Mon Aug 5 22:21:22 2019 2 relations: 1140274
  121. Mon Aug 5 22:21:22 2019 3 relations: 1213636
  122. Mon Aug 5 22:21:22 2019 4 relations: 1191842
  123. Mon Aug 5 22:21:22 2019 5 relations: 1174336
  124. Mon Aug 5 22:21:22 2019 6 relations: 1133740
  125. Mon Aug 5 22:21:22 2019 7 relations: 1074673
  126. Mon Aug 5 22:21:22 2019 8 relations: 1012548
  127. Mon Aug 5 22:21:22 2019 9 relations: 930910
  128. Mon Aug 5 22:21:22 2019 10+ relations: 5345409
  129. Mon Aug 5 22:21:23 2019 heaviest cycle: 28 relations
  130. Mon Aug 5 22:21:26 2019 commencing cycle optimization
  131. Mon Aug 5 22:21:56 2019 start with 124693754 relations
  132. Mon Aug 5 22:26:36 2019 pruned 5201575 relations
  133. Mon Aug 5 22:26:37 2019 memory use: 3380.5 MB
  134. Mon Aug 5 22:26:37 2019 distribution of cycle lengths:
  135. Mon Aug 5 22:26:37 2019 1 relations: 1105753
  136. Mon Aug 5 22:26:37 2019 2 relations: 1165692
  137. Mon Aug 5 22:26:37 2019 3 relations: 1260877
  138. Mon Aug 5 22:26:37 2019 4 relations: 1236901
  139. Mon Aug 5 22:26:37 2019 5 relations: 1228468
  140. Mon Aug 5 22:26:37 2019 6 relations: 1180576
  141. Mon Aug 5 22:26:37 2019 7 relations: 1122168
  142. Mon Aug 5 22:26:37 2019 8 relations: 1051505
  143. Mon Aug 5 22:26:37 2019 9 relations: 964078
  144. Mon Aug 5 22:26:37 2019 10+ relations: 5007103
  145. Mon Aug 5 22:26:37 2019 heaviest cycle: 28 relations
  146. Mon Aug 5 22:27:10 2019 RelProcTime: 6312
  147. Mon Aug 5 22:27:10 2019
  148. Mon Aug 5 22:27:10 2019 commencing linear algebra
  149. Mon Aug 5 22:27:11 2019 read 15323121 cycles
  150. Mon Aug 5 22:27:45 2019 cycles contain 50283442 unique relations
  151. Mon Aug 5 22:32:18 2019 read 50283442 relations
  152. Mon Aug 5 22:34:04 2019 using 20 quadratic characters above 4294917295
  153. Mon Aug 5 22:37:19 2019 building initial matrix
  154. Mon Aug 5 22:46:44 2019 memory use: 6084.0 MB
  155. Mon Aug 5 22:46:56 2019 read 15323121 cycles
  156. Mon Aug 5 22:46:58 2019 matrix is 15322944 x 15323121 (6511.5 MB) with weight 1831049237 (119.50/col)
  157. Mon Aug 5 22:46:58 2019 sparse part has weight 1553717571 (101.40/col)
  158. Mon Aug 5 22:50:19 2019 filtering completed in 2 passes
  159. Mon Aug 5 22:50:22 2019 matrix is 15322636 x 15322813 (6511.5 MB) with weight 1831041079 (119.50/col)
  160. Mon Aug 5 22:50:22 2019 sparse part has weight 1553715089 (101.40/col)
  161. Mon Aug 5 22:51:15 2019 matrix starts at (0, 0)
  162. Mon Aug 5 22:51:17 2019 matrix is 15322636 x 15322813 (6511.5 MB) with weight 1831041079 (119.50/col)
  163. Mon Aug 5 22:51:17 2019 sparse part has weight 1553715089 (101.40/col)
  164. Mon Aug 5 22:51:17 2019 saving the first 48 matrix rows for later
  165. Mon Aug 5 22:51:20 2019 matrix includes 64 packed rows
  166. Mon Aug 5 22:51:23 2019 matrix is 15322588 x 15322813 (6228.9 MB) with weight 1572823797 (102.65/col)
  167. Mon Aug 5 22:51:23 2019 sparse part has weight 1479645501 (96.56/col)
  168. Mon Aug 5 22:51:23 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  169. Mon Aug 5 22:52:21 2019 commencing Lanczos iteration (4 threads)
  170. Mon Aug 5 22:52:21 2019 memory use: 6045.3 MB
  171. Mon Aug 5 22:54:39 2019 linear algebra at 0.0%, ETA 368h51m
  172. Mon Aug 5 22:55:22 2019 checkpointing every 50000 dimensions
  173. Mon Aug 12 18:21:51 2019 lanczos halted after 242316 iterations (dim = 15322584)
  174. Mon Aug 12 18:22:20 2019 recovered 32 nontrivial dependencies
  175. Mon Aug 12 18:22:21 2019 BLanczosTime: 590111
  176. Mon Aug 12 18:22:21 2019
  177. Mon Aug 12 18:22:21 2019 commencing square root phase
  178. Mon Aug 12 18:22:21 2019 handling dependencies 1 to 64
  179. Mon Aug 12 18:22:21 2019 reading relations for dependency 1
  180. Mon Aug 12 18:22:23 2019 read 7660573 cycles
  181. Mon Aug 12 18:22:35 2019 cycles contain 25140252 unique relations
  182. Mon Aug 12 18:25:07 2019 read 25140252 relations
  183. Mon Aug 12 18:26:49 2019 multiplying 25140252 relations
  184. Mon Aug 12 18:57:45 2019 multiply complete, coefficients have about 620.37 million bits
  185. Mon Aug 12 18:57:51 2019 initial square root is modulo 367841
  186. Mon Aug 12 19:27:09 2019 sqrtTime: 3888
  187. Mon Aug 12 19:27:09 2019 p63 factor: 211989513166849646619769147757373845955228114025943493978009389
  188. Mon Aug 12 19:27:09 2019 p144 factor: 297511040123295663655687157248737326775881772925805754672260829401741190469223085847566776831199637813792102364962243013903086197935234280505489
  189. Mon Aug 12 19:27:09 2019 elapsed time 166:45:13
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