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250__099_5m1

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May 18th, 2019
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  1. Fri May 17 19:52:52 2019
  2. Fri May 17 19:52:52 2019
  3. Fri May 17 19:52:52 2019 Msieve v. 1.54 (SVN 1025)
  4. Fri May 17 19:52:52 2019 random seeds: a2075cf7 c4fdfbb2
  5. Fri May 17 19:52:52 2019 factoring 5914381721135480668266773902060478947997908311463793449411457975529645464077469963982002023932820772068345154799778269503651753342236041781658796818942971050541 (160 digits)
  6. Fri May 17 19:52:52 2019 searching for 15-digit factors
  7. Fri May 17 19:52:53 2019 commencing number field sieve (160-digit input)
  8. Fri May 17 19:52:53 2019 R0: 25004463889594266933391547791134169483177959530099
  9. Fri May 17 19:52:53 2019 R1: -1
  10. Fri May 17 19:52:53 2019 A0: 1
  11. Fri May 17 19:52:53 2019 A1: 1
  12. Fri May 17 19:52:53 2019 A2: 1
  13. Fri May 17 19:52:53 2019 A3: 1
  14. Fri May 17 19:52:53 2019 A4: 1
  15. Fri May 17 19:52:53 2019 skew 1.00, size 3.563e-20, alpha 1.694, combined = 4.346e-12 rroots = 0
  16. Fri May 17 19:52:53 2019
  17. Fri May 17 19:52:53 2019 commencing relation filtering
  18. Fri May 17 19:52:53 2019 setting target matrix density to 112.0
  19. Fri May 17 19:52:53 2019 estimated available RAM is 16007.4 MB
  20. Fri May 17 19:52:53 2019 commencing duplicate removal, pass 1
  21. Fri May 17 19:54:02 2019 error -11 reading relation 10957651
  22. Fri May 17 19:54:02 2019 error -11 reading relation 10958257
  23. Fri May 17 19:54:02 2019 error -11 reading relation 10958334
  24. Fri May 17 19:54:02 2019 error -11 reading relation 10958971
  25. Fri May 17 19:54:02 2019 error -11 reading relation 10959163
  26. Fri May 17 19:54:02 2019 error -11 reading relation 10959235
  27. Fri May 17 19:54:02 2019 error -1 reading relation 10959928
  28. Fri May 17 19:54:02 2019 error -15 reading relation 10960003
  29. Fri May 17 19:54:02 2019 error -15 reading relation 10960118
  30. Fri May 17 19:54:02 2019 error -15 reading relation 10960157
  31. Fri May 17 19:54:02 2019 error -11 reading relation 10960389
  32. Fri May 17 19:54:02 2019 error -11 reading relation 10961170
  33. Fri May 17 19:54:02 2019 error -11 reading relation 10962261
  34. Fri May 17 19:54:02 2019 error -11 reading relation 10963583
  35. Fri May 17 19:54:02 2019 error -15 reading relation 10964014
  36. Fri May 17 19:54:02 2019 error -15 reading relation 10964205
  37. Fri May 17 19:54:02 2019 error -11 reading relation 10964966
  38. Fri May 17 19:54:02 2019 error -11 reading relation 10965044
  39. Fri May 17 19:54:02 2019 error -15 reading relation 10965160
  40. Fri May 17 19:54:02 2019 error -11 reading relation 10968066
  41. Fri May 17 19:59:08 2019 skipped 32 relations with b > 2^32
  42. Fri May 17 19:59:08 2019 skipped 21 relations with composite factors
  43. Fri May 17 19:59:08 2019 found 3019845 hash collisions in 59140902 relations
  44. Fri May 17 19:59:09 2019 commencing duplicate removal, pass 2
  45. Fri May 17 19:59:21 2019 found 0 duplicates and 59140902 unique relations
  46. Fri May 17 19:59:21 2019 memory use: 189.2 MB
  47. Fri May 17 19:59:21 2019 reading ideals above 720000
  48. Fri May 17 19:59:21 2019 commencing singleton removal, initial pass
  49. Fri May 17 20:04:54 2019 memory use: 1378.0 MB
  50. Fri May 17 20:04:54 2019 reading all ideals from disk
  51. Fri May 17 20:04:54 2019 memory use: 2097.3 MB
  52. Fri May 17 20:04:58 2019 keeping 48801539 ideals with weight <= 200, target excess is 299505
  53. Fri May 17 20:05:03 2019 commencing in-memory singleton removal
  54. Fri May 17 20:05:07 2019 begin with 59140902 relations and 48801539 unique ideals
  55. Fri May 17 20:05:47 2019 reduce to 44202853 relations and 32590711 ideals in 12 passes
  56. Fri May 17 20:05:47 2019 max relations containing the same ideal: 175
  57. Fri May 17 20:06:01 2019 removing 6798253 relations and 4798253 ideals in 2000000 cliques
  58. Fri May 17 20:06:03 2019 commencing in-memory singleton removal
  59. Fri May 17 20:06:05 2019 begin with 37404600 relations and 32590711 unique ideals
  60. Fri May 17 20:06:26 2019 reduce to 36431567 relations and 26760702 ideals in 8 passes
  61. Fri May 17 20:06:26 2019 max relations containing the same ideal: 157
  62. Fri May 17 20:06:38 2019 removing 5611258 relations and 3611258 ideals in 2000000 cliques
  63. Fri May 17 20:06:40 2019 commencing in-memory singleton removal
  64. Fri May 17 20:06:41 2019 begin with 30820309 relations and 26760702 unique ideals
  65. Fri May 17 20:06:55 2019 reduce to 30189499 relations and 22482521 ideals in 7 passes
  66. Fri May 17 20:06:55 2019 max relations containing the same ideal: 141
  67. Fri May 17 20:07:04 2019 removing 5276257 relations and 3276257 ideals in 2000000 cliques
  68. Fri May 17 20:07:05 2019 commencing in-memory singleton removal
  69. Fri May 17 20:07:07 2019 begin with 24913242 relations and 22482521 unique ideals
  70. Fri May 17 20:07:17 2019 reduce to 24338488 relations and 18595922 ideals in 7 passes
  71. Fri May 17 20:07:17 2019 max relations containing the same ideal: 122
  72. Fri May 17 20:07:25 2019 removing 5106051 relations and 3106051 ideals in 2000000 cliques
  73. Fri May 17 20:07:26 2019 commencing in-memory singleton removal
  74. Fri May 17 20:07:27 2019 begin with 19232437 relations and 18595922 unique ideals
  75. Fri May 17 20:07:35 2019 reduce to 18642783 relations and 14857766 ideals in 7 passes
  76. Fri May 17 20:07:35 2019 max relations containing the same ideal: 101
  77. Fri May 17 20:07:41 2019 removing 4981323 relations and 2981323 ideals in 2000000 cliques
  78. Fri May 17 20:07:42 2019 commencing in-memory singleton removal
  79. Fri May 17 20:07:43 2019 begin with 13661460 relations and 14857766 unique ideals
  80. Fri May 17 20:07:49 2019 reduce to 13012213 relations and 11168098 ideals in 8 passes
  81. Fri May 17 20:07:49 2019 max relations containing the same ideal: 80
  82. Fri May 17 20:07:53 2019 removing 3764463 relations and 2267774 ideals in 1496689 cliques
  83. Fri May 17 20:07:54 2019 commencing in-memory singleton removal
  84. Fri May 17 20:07:55 2019 begin with 9247750 relations and 11168098 unique ideals
  85. Fri May 17 20:08:00 2019 reduce to 8673808 relations and 8268998 ideals in 10 passes
  86. Fri May 17 20:08:00 2019 max relations containing the same ideal: 61
  87. Fri May 17 20:08:02 2019 removing 279815 relations and 222431 ideals in 57384 cliques
  88. Fri May 17 20:08:03 2019 commencing in-memory singleton removal
  89. Fri May 17 20:08:03 2019 begin with 8393993 relations and 8268998 unique ideals
  90. Fri May 17 20:08:06 2019 reduce to 8385233 relations and 8037723 ideals in 6 passes
  91. Fri May 17 20:08:06 2019 max relations containing the same ideal: 60
  92. Fri May 17 20:08:07 2019 relations with 0 large ideals: 22869
  93. Fri May 17 20:08:07 2019 relations with 1 large ideals: 4932
  94. Fri May 17 20:08:07 2019 relations with 2 large ideals: 57000
  95. Fri May 17 20:08:07 2019 relations with 3 large ideals: 337689
  96. Fri May 17 20:08:07 2019 relations with 4 large ideals: 1079796
  97. Fri May 17 20:08:07 2019 relations with 5 large ideals: 2290302
  98. Fri May 17 20:08:07 2019 relations with 6 large ideals: 2169971
  99. Fri May 17 20:08:07 2019 relations with 7+ large ideals: 2422674
  100. Fri May 17 20:08:07 2019 commencing 2-way merge
  101. Fri May 17 20:08:10 2019 reduce to 6057888 relation sets and 5710378 unique ideals
  102. Fri May 17 20:08:10 2019 commencing full merge
  103. Fri May 17 20:09:47 2019 memory use: 717.5 MB
  104. Fri May 17 20:09:47 2019 found 2698428 cycles, need 2694578
  105. Fri May 17 20:09:48 2019 weight of 2694578 cycles is about 302132896 (112.13/cycle)
  106. Fri May 17 20:09:48 2019 distribution of cycle lengths:
  107. Fri May 17 20:09:48 2019 1 relations: 70530
  108. Fri May 17 20:09:48 2019 2 relations: 126284
  109. Fri May 17 20:09:48 2019 3 relations: 176341
  110. Fri May 17 20:09:48 2019 4 relations: 199849
  111. Fri May 17 20:09:48 2019 5 relations: 211574
  112. Fri May 17 20:09:48 2019 6 relations: 212475
  113. Fri May 17 20:09:48 2019 7 relations: 206220
  114. Fri May 17 20:09:48 2019 8 relations: 194562
  115. Fri May 17 20:09:48 2019 9 relations: 178492
  116. Fri May 17 20:09:48 2019 10+ relations: 1118251
  117. Fri May 17 20:09:48 2019 heaviest cycle: 28 relations
  118. Fri May 17 20:09:48 2019 commencing cycle optimization
  119. Fri May 17 20:09:53 2019 start with 25218231 relations
  120. Fri May 17 20:10:39 2019 pruned 1491906 relations
  121. Fri May 17 20:10:39 2019 memory use: 608.4 MB
  122. Fri May 17 20:10:39 2019 distribution of cycle lengths:
  123. Fri May 17 20:10:39 2019 1 relations: 70530
  124. Fri May 17 20:10:39 2019 2 relations: 129924
  125. Fri May 17 20:10:39 2019 3 relations: 185516
  126. Fri May 17 20:10:39 2019 4 relations: 210979
  127. Fri May 17 20:10:39 2019 5 relations: 226284
  128. Fri May 17 20:10:39 2019 6 relations: 226692
  129. Fri May 17 20:10:39 2019 7 relations: 221193
  130. Fri May 17 20:10:39 2019 8 relations: 206591
  131. Fri May 17 20:10:39 2019 9 relations: 188474
  132. Fri May 17 20:10:39 2019 10+ relations: 1028395
  133. Fri May 17 20:10:39 2019 heaviest cycle: 28 relations
  134. Fri May 17 20:10:42 2019 RelProcTime: 1069
  135. Fri May 17 20:10:42 2019
  136. Fri May 17 20:10:42 2019 commencing linear algebra
  137. Fri May 17 20:10:43 2019 read 2694578 cycles
  138. Fri May 17 20:10:48 2019 cycles contain 8220644 unique relations
  139. Fri May 17 20:11:27 2019 read 8220644 relations
  140. Fri May 17 20:11:35 2019 using 20 quadratic characters above 4294917295
  141. Fri May 17 20:12:05 2019 building initial matrix
  142. Fri May 17 20:13:22 2019 memory use: 1051.5 MB
  143. Fri May 17 20:13:23 2019 read 2694578 cycles
  144. Fri May 17 20:13:23 2019 matrix is 2694401 x 2694578 (1178.8 MB) with weight 339825392 (126.11/col)
  145. Fri May 17 20:13:23 2019 sparse part has weight 279371798 (103.68/col)
  146. Fri May 17 20:13:45 2019 filtering completed in 2 passes
  147. Fri May 17 20:13:45 2019 matrix is 2694382 x 2694559 (1178.8 MB) with weight 339824764 (126.12/col)
  148. Fri May 17 20:13:45 2019 sparse part has weight 279371640 (103.68/col)
  149. Fri May 17 20:13:54 2019 matrix starts at (0, 0)
  150. Fri May 17 20:13:54 2019 matrix is 2694382 x 2694559 (1178.8 MB) with weight 339824764 (126.12/col)
  151. Fri May 17 20:13:54 2019 sparse part has weight 279371640 (103.68/col)
  152. Fri May 17 20:13:54 2019 saving the first 48 matrix rows for later
  153. Fri May 17 20:13:55 2019 matrix includes 64 packed rows
  154. Fri May 17 20:13:55 2019 matrix is 2694334 x 2694559 (1124.7 MB) with weight 289260879 (107.35/col)
  155. Fri May 17 20:13:55 2019 sparse part has weight 267879928 (99.42/col)
  156. Fri May 17 20:13:55 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  157. Fri May 17 20:14:02 2019 commencing Lanczos iteration (4 threads)
  158. Fri May 17 20:14:02 2019 memory use: 1063.6 MB
  159. Fri May 17 20:14:10 2019 linear algebra at 0.1%, ETA 3h28m
  160. Fri May 17 20:14:13 2019 checkpointing every 730000 dimensions
  161. Fri May 17 23:45:49 2019 lanczos halted after 42612 iterations (dim = 2694330)
  162. Fri May 17 23:45:52 2019 recovered 36 nontrivial dependencies
  163. Fri May 17 23:45:52 2019 BLanczosTime: 12910
  164. Fri May 17 23:45:52 2019
  165. Fri May 17 23:45:52 2019 commencing square root phase
  166. Fri May 17 23:45:52 2019 handling dependencies 1 to 64
  167. Fri May 17 23:45:52 2019 reading relations for dependency 1
  168. Fri May 17 23:45:52 2019 read 1345776 cycles
  169. Fri May 17 23:45:54 2019 cycles contain 4108242 unique relations
  170. Fri May 17 23:46:16 2019 read 4108242 relations
  171. Fri May 17 23:46:27 2019 multiplying 4108242 relations
  172. Fri May 17 23:47:21 2019 multiply complete, coefficients have about 101.30 million bits
  173. Fri May 17 23:47:21 2019 initial square root is modulo 18676717
  174. Fri May 17 23:48:31 2019 sqrtTime: 159
  175. Fri May 17 23:48:31 2019 p62 factor: 24915094983461151625800667351876394078789286497269843076175991
  176. Fri May 17 23:48:31 2019 p99 factor: 237381463930259816671572353877732691609828773307131011518574156851975242195021805535004701679325051
  177. Fri May 17 23:48:31 2019 elapsed time 03:55:39
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