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Oct 31st, 2021
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  1. Sun Oct 31 11:06:37 2021
  2. Sun Oct 31 11:06:37 2021
  3. Sun Oct 31 11:06:37 2021 Msieve v. 1.54 (SVN 1043M)
  4. Sun Oct 31 11:06:37 2021 random seeds: 22bed916 a7512673
  5. Sun Oct 31 11:06:37 2021 factoring 3447593471265215542390822389307729985356309725405701835408669162760758411866808580129217507719757211821752648726277628745732791404567014190056172566418330221 (157 digits)
  6. Sun Oct 31 11:06:38 2021 searching for 15-digit factors
  7. Sun Oct 31 11:06:38 2021 commencing number field sieve (157-digit input)
  8. Sun Oct 31 11:06:38 2021 R0: -1987286005006295608841142034695
  9. Sun Oct 31 11:06:38 2021 R1: 14549760139557103
  10. Sun Oct 31 11:06:38 2021 A0: 244992533396194455450266293747431367792
  11. Sun Oct 31 11:06:38 2021 A1: 34490156568294926758841312771342
  12. Sun Oct 31 11:06:38 2021 A2: -66723912174992965383319005
  13. Sun Oct 31 11:06:38 2021 A3: -21303844838033994305
  14. Sun Oct 31 11:06:38 2021 A4: 1774798972703
  15. Sun Oct 31 11:06:38 2021 A5: 111228
  16. Sun Oct 31 11:06:38 2021 skew 6631590.44, size 2.799e-15, alpha -7.290, combined = 2.078e-12 rroots = 3
  17. Sun Oct 31 11:06:38 2021
  18. Sun Oct 31 11:06:38 2021 commencing relation filtering
  19. Sun Oct 31 11:06:38 2021 setting target matrix density to 136.0
  20. Sun Oct 31 11:06:38 2021 estimated available RAM is 31368.2 MB
  21. Sun Oct 31 11:06:38 2021 commencing duplicate removal, pass 1
  22. Sun Oct 31 11:06:57 2021 error -9 reading relation 1892314
  23. Sun Oct 31 11:07:01 2021 error -15 reading relation 2324703
  24. Sun Oct 31 11:07:14 2021 error -9 reading relation 3786110
  25. Sun Oct 31 11:08:12 2021 error -15 reading relation 10806156
  26. Sun Oct 31 11:08:16 2021 error -15 reading relation 11214050
  27. Sun Oct 31 11:08:53 2021 error -9 reading relation 15660044
  28. Sun Oct 31 11:09:17 2021 error -9 reading relation 18187060
  29. Sun Oct 31 11:09:49 2021 error -15 reading relation 21767274
  30. Sun Oct 31 11:09:49 2021 error -9 reading relation 21770496
  31. Sun Oct 31 11:09:54 2021 error -9 reading relation 22388902
  32. Sun Oct 31 11:09:59 2021 error -5 reading relation 23013811
  33. Sun Oct 31 11:10:30 2021 error -9 reading relation 26887598
  34. Sun Oct 31 11:11:20 2021 error -1 reading relation 33006605
  35. Sun Oct 31 11:11:34 2021 error -1 reading relation 34745909
  36. Sun Oct 31 11:11:44 2021 error -9 reading relation 35964771
  37. Sun Oct 31 11:11:57 2021 error -9 reading relation 37622571
  38. Sun Oct 31 11:12:08 2021 error -15 reading relation 38904069
  39. Sun Oct 31 11:13:29 2021 error -9 reading relation 48902204
  40. Sun Oct 31 11:13:29 2021 error -1 reading relation 49017914
  41. Sun Oct 31 11:13:30 2021 error -15 reading relation 49038048
  42. Sun Oct 31 11:13:30 2021 error -9 reading relation 49103809
  43. Sun Oct 31 11:13:30 2021 error -15 reading relation 49128320
  44. Sun Oct 31 11:13:31 2021 error -15 reading relation 49167373
  45. Sun Oct 31 11:13:31 2021 error -9 reading relation 49207716
  46. Sun Oct 31 11:13:31 2021 error -9 reading relation 49273567
  47. Sun Oct 31 11:15:05 2021 error -15 reading relation 60638682
  48. Sun Oct 31 11:15:05 2021 error -15 reading relation 60669865
  49. Sun Oct 31 11:15:06 2021 error -15 reading relation 60741092
  50. Sun Oct 31 11:15:14 2021 skipped 14 relations with composite factors
  51. Sun Oct 31 11:15:14 2021 found 11671460 hash collisions in 61706069 relations
  52. Sun Oct 31 11:15:43 2021 commencing duplicate removal, pass 2
  53. Sun Oct 31 11:16:06 2021 found 11084498 duplicates and 50621571 unique relations
  54. Sun Oct 31 11:16:06 2021 memory use: 330.4 MB
  55. Sun Oct 31 11:16:06 2021 reading ideals above 720000
  56. Sun Oct 31 11:16:06 2021 commencing singleton removal, initial pass
  57. Sun Oct 31 11:22:43 2021 memory use: 1378.0 MB
  58. Sun Oct 31 11:22:43 2021 reading all ideals from disk
  59. Sun Oct 31 11:22:44 2021 memory use: 1836.2 MB
  60. Sun Oct 31 11:22:49 2021 keeping 47033710 ideals with weight <= 200, target excess is 273883
  61. Sun Oct 31 11:22:53 2021 commencing in-memory singleton removal
  62. Sun Oct 31 11:22:57 2021 begin with 50621571 relations and 47033710 unique ideals
  63. Sun Oct 31 11:23:34 2021 reduce to 32736289 relations and 27340866 ideals in 12 passes
  64. Sun Oct 31 11:23:34 2021 max relations containing the same ideal: 158
  65. Sun Oct 31 11:23:48 2021 removing 4586061 relations and 3586061 ideals in 1000000 cliques
  66. Sun Oct 31 11:23:50 2021 commencing in-memory singleton removal
  67. Sun Oct 31 11:23:52 2021 begin with 28150228 relations and 27340866 unique ideals
  68. Sun Oct 31 11:24:10 2021 reduce to 27669366 relations and 23256177 ideals in 8 passes
  69. Sun Oct 31 11:24:10 2021 max relations containing the same ideal: 140
  70. Sun Oct 31 11:24:21 2021 removing 3600685 relations and 2600685 ideals in 1000000 cliques
  71. Sun Oct 31 11:24:23 2021 commencing in-memory singleton removal
  72. Sun Oct 31 11:24:25 2021 begin with 24068681 relations and 23256177 unique ideals
  73. Sun Oct 31 11:24:38 2021 reduce to 23727806 relations and 20302788 ideals in 7 passes
  74. Sun Oct 31 11:24:38 2021 max relations containing the same ideal: 126
  75. Sun Oct 31 11:24:49 2021 removing 3319884 relations and 2319884 ideals in 1000000 cliques
  76. Sun Oct 31 11:24:50 2021 commencing in-memory singleton removal
  77. Sun Oct 31 11:24:52 2021 begin with 20407922 relations and 20302788 unique ideals
  78. Sun Oct 31 11:25:02 2021 reduce to 20089892 relations and 17652728 ideals in 7 passes
  79. Sun Oct 31 11:25:02 2021 max relations containing the same ideal: 112
  80. Sun Oct 31 11:25:11 2021 removing 3173155 relations and 2173155 ideals in 1000000 cliques
  81. Sun Oct 31 11:25:12 2021 commencing in-memory singleton removal
  82. Sun Oct 31 11:25:13 2021 begin with 16916737 relations and 17652728 unique ideals
  83. Sun Oct 31 11:25:22 2021 reduce to 16594186 relations and 15142993 ideals in 7 passes
  84. Sun Oct 31 11:25:22 2021 max relations containing the same ideal: 100
  85. Sun Oct 31 11:25:29 2021 removing 3079042 relations and 2079042 ideals in 1000000 cliques
  86. Sun Oct 31 11:25:31 2021 commencing in-memory singleton removal
  87. Sun Oct 31 11:25:31 2021 begin with 13515144 relations and 15142993 unique ideals
  88. Sun Oct 31 11:25:39 2021 reduce to 13156324 relations and 12686592 ideals in 8 passes
  89. Sun Oct 31 11:25:39 2021 max relations containing the same ideal: 83
  90. Sun Oct 31 11:25:45 2021 removing 671011 relations and 518984 ideals in 152027 cliques
  91. Sun Oct 31 11:25:46 2021 commencing in-memory singleton removal
  92. Sun Oct 31 11:25:46 2021 begin with 12485313 relations and 12686592 unique ideals
  93. Sun Oct 31 11:25:52 2021 reduce to 12464313 relations and 12146384 ideals in 7 passes
  94. Sun Oct 31 11:25:52 2021 max relations containing the same ideal: 82
  95. Sun Oct 31 11:25:59 2021 relations with 0 large ideals: 880
  96. Sun Oct 31 11:25:59 2021 relations with 1 large ideals: 2858
  97. Sun Oct 31 11:25:59 2021 relations with 2 large ideals: 41637
  98. Sun Oct 31 11:25:59 2021 relations with 3 large ideals: 294115
  99. Sun Oct 31 11:25:59 2021 relations with 4 large ideals: 1109387
  100. Sun Oct 31 11:25:59 2021 relations with 5 large ideals: 2474416
  101. Sun Oct 31 11:25:59 2021 relations with 6 large ideals: 3431654
  102. Sun Oct 31 11:25:59 2021 relations with 7+ large ideals: 5109366
  103. Sun Oct 31 11:25:59 2021 commencing 2-way merge
  104. Sun Oct 31 11:26:07 2021 reduce to 8488231 relation sets and 8170302 unique ideals
  105. Sun Oct 31 11:26:07 2021 commencing full merge
  106. Sun Oct 31 11:29:26 2021 memory use: 1078.1 MB
  107. Sun Oct 31 11:29:27 2021 found 3690790 cycles, need 3690502
  108. Sun Oct 31 11:29:28 2021 weight of 3690502 cycles is about 502395067 (136.13/cycle)
  109. Sun Oct 31 11:29:28 2021 distribution of cycle lengths:
  110. Sun Oct 31 11:29:28 2021 1 relations: 58141
  111. Sun Oct 31 11:29:28 2021 2 relations: 166006
  112. Sun Oct 31 11:29:28 2021 3 relations: 222513
  113. Sun Oct 31 11:29:28 2021 4 relations: 242394
  114. Sun Oct 31 11:29:28 2021 5 relations: 259215
  115. Sun Oct 31 11:29:28 2021 6 relations: 261902
  116. Sun Oct 31 11:29:28 2021 7 relations: 262345
  117. Sun Oct 31 11:29:28 2021 8 relations: 254390
  118. Sun Oct 31 11:29:28 2021 9 relations: 243935
  119. Sun Oct 31 11:29:28 2021 10+ relations: 1719661
  120. Sun Oct 31 11:29:28 2021 heaviest cycle: 28 relations
  121. Sun Oct 31 11:29:29 2021 commencing cycle optimization
  122. Sun Oct 31 11:29:37 2021 start with 36591291 relations
  123. Sun Oct 31 11:31:08 2021 pruned 2046957 relations
  124. Sun Oct 31 11:31:08 2021 memory use: 896.7 MB
  125. Sun Oct 31 11:31:08 2021 distribution of cycle lengths:
  126. Sun Oct 31 11:31:08 2021 1 relations: 58141
  127. Sun Oct 31 11:31:08 2021 2 relations: 171544
  128. Sun Oct 31 11:31:08 2021 3 relations: 233910
  129. Sun Oct 31 11:31:08 2021 4 relations: 255449
  130. Sun Oct 31 11:31:08 2021 5 relations: 275651
  131. Sun Oct 31 11:31:08 2021 6 relations: 278678
  132. Sun Oct 31 11:31:08 2021 7 relations: 279376
  133. Sun Oct 31 11:31:08 2021 8 relations: 270763
  134. Sun Oct 31 11:31:08 2021 9 relations: 258480
  135. Sun Oct 31 11:31:08 2021 10+ relations: 1608510
  136. Sun Oct 31 11:31:08 2021 heaviest cycle: 28 relations
  137. Sun Oct 31 11:31:16 2021 RelProcTime: 1478
  138. Sun Oct 31 11:31:16 2021
  139. Sun Oct 31 11:31:16 2021 commencing linear algebra
  140. Sun Oct 31 11:31:16 2021 read 3690502 cycles
  141. Sun Oct 31 11:31:26 2021 cycles contain 12314115 unique relations
  142. Sun Oct 31 11:32:32 2021 read 12314115 relations
  143. Sun Oct 31 11:32:53 2021 using 20 quadratic characters above 4294917295
  144. Sun Oct 31 11:34:01 2021 building initial matrix
  145. Sun Oct 31 11:37:07 2021 memory use: 1728.2 MB
  146. Sun Oct 31 11:37:10 2021 read 3690502 cycles
  147. Sun Oct 31 11:37:10 2021 matrix is 3690325 x 3690502 (1915.6 MB) with weight 587490351 (159.19/col)
  148. Sun Oct 31 11:37:10 2021 sparse part has weight 457864255 (124.07/col)
  149. Sun Oct 31 11:37:54 2021 filtering completed in 2 passes
  150. Sun Oct 31 11:37:55 2021 matrix is 3690323 x 3690500 (1915.6 MB) with weight 587490233 (159.19/col)
  151. Sun Oct 31 11:37:55 2021 sparse part has weight 457864221 (124.07/col)
  152. Sun Oct 31 11:38:08 2021 matrix starts at (0, 0)
  153. Sun Oct 31 11:38:09 2021 matrix is 3690323 x 3690500 (1915.6 MB) with weight 587490233 (159.19/col)
  154. Sun Oct 31 11:38:09 2021 sparse part has weight 457864221 (124.07/col)
  155. Sun Oct 31 11:38:09 2021 saving the first 48 matrix rows for later
  156. Sun Oct 31 11:38:09 2021 matrix includes 64 packed rows
  157. Sun Oct 31 11:38:10 2021 matrix is 3690275 x 3690500 (1871.5 MB) with weight 507155640 (137.42/col)
  158. Sun Oct 31 11:38:10 2021 sparse part has weight 453696947 (122.94/col)
  159. Sun Oct 31 11:38:10 2021 using block size 8192 and superblock size 3244032 for processor cache size 33792 kB
  160. Sun Oct 31 11:38:25 2021 commencing Lanczos iteration (4 threads)
  161. Sun Oct 31 11:38:25 2021 memory use: 1718.0 MB
  162. Sun Oct 31 11:38:39 2021 linear algebra at 0.0%, ETA 9h26m
  163. Sun Oct 31 11:38:43 2021 checkpointing every 410000 dimensions
  164. Sun Oct 31 20:13:35 2021 lanczos halted after 58354 iterations (dim = 3690273)
  165. Sun Oct 31 20:13:40 2021 recovered 29 nontrivial dependencies
  166. Sun Oct 31 20:13:40 2021 BLanczosTime: 31344
  167. Sun Oct 31 20:13:40 2021
  168. Sun Oct 31 20:13:40 2021 commencing square root phase
  169. Sun Oct 31 20:13:40 2021 handling dependencies 1 to 64
  170. Sun Oct 31 20:13:40 2021 reading relations for dependency 1
  171. Sun Oct 31 20:13:40 2021 read 1846094 cycles
  172. Sun Oct 31 20:13:45 2021 cycles contain 6159756 unique relations
  173. Sun Oct 31 20:14:25 2021 read 6159756 relations
  174. Sun Oct 31 20:14:59 2021 multiplying 6159756 relations
  175. Sun Oct 31 20:20:32 2021 multiply complete, coefficients have about 328.60 million bits
  176. Sun Oct 31 20:20:34 2021 initial square root is modulo 787469
  177. Sun Oct 31 20:27:20 2021 GCD is N, no factor found
  178. Sun Oct 31 20:27:20 2021 reading relations for dependency 2
  179. Sun Oct 31 20:27:20 2021 read 1845117 cycles
  180. Sun Oct 31 20:27:25 2021 cycles contain 6154124 unique relations
  181. Sun Oct 31 20:28:06 2021 read 6154124 relations
  182. Sun Oct 31 20:28:35 2021 multiplying 6154124 relations
  183. Sun Oct 31 20:34:09 2021 multiply complete, coefficients have about 328.30 million bits
  184. Sun Oct 31 20:34:10 2021 initial square root is modulo 777617
  185. Sun Oct 31 20:41:01 2021 sqrtTime: 1641
  186. Sun Oct 31 20:41:01 2021 p57 factor: 418460099307404688873353172190079579547726609449837019529
  187. Sun Oct 31 20:41:01 2021 p100 factor: 8238762732626943358502287880815400277971438304680752896036019348335028760737329557672156740426007749
  188. Sun Oct 31 20:41:01 2021 elapsed time 09:34:24
  189.  
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