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Dec 29th, 2023
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  1. Fri Dec 29 16:16:15 2023
  2. Fri Dec 29 16:16:15 2023
  3. Fri Dec 29 16:16:15 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Dec 29 16:16:15 2023 random seeds: d212deb8 8fd2e00e
  5. Fri Dec 29 16:16:15 2023 Using 64 OpenMP threads
  6. Fri Dec 29 16:16:15 2023 factoring 189342952446329930436751337354503224481164421189960712215459724149735129191124285933318593903560038370382472152047774796668952194205124655212121852168562775489933 (162 digits)
  7. Fri Dec 29 16:16:15 2023 searching for 15-digit factors
  8. Fri Dec 29 16:16:15 2023 commencing number field sieve (162-digit input)
  9. Fri Dec 29 16:16:15 2023 R0: -29637657376832563193799829676996
  10. Fri Dec 29 16:16:15 2023 R1: 193064900175785321
  11. Fri Dec 29 16:16:15 2023 A0: -25874406837827728574641323856887469996095
  12. Fri Dec 29 16:16:15 2023 A1: 1391233514506134786643906101093277
  13. Fri Dec 29 16:16:15 2023 A2: 799123734350852799761879317
  14. Fri Dec 29 16:16:15 2023 A3: 18256544546951167047
  15. Fri Dec 29 16:16:15 2023 A4: -1631640493818
  16. Fri Dec 29 16:16:15 2023 A5: 8280
  17. Fri Dec 29 16:16:15 2023 skew 23104407.33, size 1.081e-15, alpha -7.425, combined = 1.179e-12 rroots = 5
  18. Fri Dec 29 16:16:15 2023
  19. Fri Dec 29 16:16:15 2023 commencing relation filtering
  20. Fri Dec 29 16:16:15 2023 setting target matrix density to 140.0
  21. Fri Dec 29 16:16:15 2023 estimated available RAM is 257736.5 MB
  22. Fri Dec 29 16:16:15 2023 commencing duplicate removal, pass 1
  23. Fri Dec 29 16:17:00 2023 error -1 reading relation 33224483
  24. Fri Dec 29 16:18:11 2023 error -1 reading relation 87166926
  25. Fri Dec 29 16:18:33 2023 error -1 reading relation 103427040
  26. Fri Dec 29 16:18:33 2023 error -1 reading relation 103427282
  27. Fri Dec 29 16:18:44 2023 error -1 reading relation 111233003
  28. Fri Dec 29 16:19:00 2023 error -1 reading relation 123158172
  29. Fri Dec 29 16:19:06 2023 error -1 reading relation 127624413
  30. Fri Dec 29 16:19:07 2023 error -1 reading relation 128614145
  31. Fri Dec 29 16:19:07 2023 error -1 reading relation 128802699
  32. Fri Dec 29 16:19:12 2023 error -1 reading relation 131876617
  33. Fri Dec 29 16:19:20 2023 error -1 reading relation 138357780
  34. Fri Dec 29 16:19:23 2023 error -1 reading relation 140090736
  35. Fri Dec 29 16:19:23 2023 error -1 reading relation 140767414
  36. Fri Dec 29 16:19:25 2023 skipped 3 relations with composite factors
  37. Fri Dec 29 16:19:25 2023 skipped 118 malformed relations
  38. Fri Dec 29 16:19:25 2023 found 28052656 hash collisions in 141657903 relations
  39. Fri Dec 29 16:19:47 2023 added 121651 free relations
  40. Fri Dec 29 16:19:47 2023 commencing duplicate removal, pass 2
  41. Fri Dec 29 16:22:22 2023 found 29137895 duplicates and 112641659 unique relations
  42. Fri Dec 29 16:22:22 2023 memory use: 852.8 MB
  43. Fri Dec 29 16:22:22 2023 reading ideals above 720000
  44. Fri Dec 29 16:22:23 2023 commencing singleton removal, initial pass
  45. Fri Dec 29 16:27:25 2023 memory use: 2756.0 MB
  46. Fri Dec 29 16:27:25 2023 reading all ideals from disk
  47. Fri Dec 29 16:27:27 2023 memory use: 5087.7 MB
  48. Fri Dec 29 16:27:37 2023 keeping 93170290 ideals with weight <= 200, target excess is 594537
  49. Fri Dec 29 16:27:50 2023 commencing in-memory singleton removal
  50. Fri Dec 29 16:27:51 2023 begin with 112641659 relations and 93170290 unique ideals
  51. Fri Dec 29 16:27:55 2023 reduce to 82362060 relations and 60451272 ideals in 12 passes
  52. Fri Dec 29 16:27:55 2023 max relations containing the same ideal: 175
  53. Fri Dec 29 16:28:18 2023 removing 7848406 relations and 5848406 ideals in 2000000 cliques
  54. Fri Dec 29 16:28:22 2023 commencing in-memory singleton removal
  55. Fri Dec 29 16:28:23 2023 begin with 74513654 relations and 60451272 unique ideals
  56. Fri Dec 29 16:28:25 2023 reduce to 73929099 relations and 54000987 ideals in 8 passes
  57. Fri Dec 29 16:28:25 2023 max relations containing the same ideal: 163
  58. Fri Dec 29 16:28:44 2023 removing 6253071 relations and 4253071 ideals in 2000000 cliques
  59. Fri Dec 29 16:28:47 2023 commencing in-memory singleton removal
  60. Fri Dec 29 16:28:48 2023 begin with 67676028 relations and 54000987 unique ideals
  61. Fri Dec 29 16:28:49 2023 reduce to 67274623 relations and 49335805 ideals in 7 passes
  62. Fri Dec 29 16:28:49 2023 max relations containing the same ideal: 153
  63. Fri Dec 29 16:29:07 2023 removing 5834456 relations and 3834456 ideals in 2000000 cliques
  64. Fri Dec 29 16:29:10 2023 commencing in-memory singleton removal
  65. Fri Dec 29 16:29:10 2023 begin with 61440167 relations and 49335805 unique ideals
  66. Fri Dec 29 16:29:12 2023 reduce to 61086676 relations and 45138344 ideals in 6 passes
  67. Fri Dec 29 16:29:12 2023 max relations containing the same ideal: 145
  68. Fri Dec 29 16:29:28 2023 removing 5616470 relations and 3616470 ideals in 2000000 cliques
  69. Fri Dec 29 16:29:30 2023 commencing in-memory singleton removal
  70. Fri Dec 29 16:29:30 2023 begin with 55470206 relations and 45138344 unique ideals
  71. Fri Dec 29 16:29:32 2023 reduce to 55135605 relations and 41177476 ideals in 6 passes
  72. Fri Dec 29 16:29:32 2023 max relations containing the same ideal: 132
  73. Fri Dec 29 16:29:47 2023 removing 5480710 relations and 3480710 ideals in 2000000 cliques
  74. Fri Dec 29 16:29:49 2023 commencing in-memory singleton removal
  75. Fri Dec 29 16:29:49 2023 begin with 49654895 relations and 41177476 unique ideals
  76. Fri Dec 29 16:29:50 2023 reduce to 49321916 relations and 37353474 ideals in 6 passes
  77. Fri Dec 29 16:29:50 2023 max relations containing the same ideal: 126
  78. Fri Dec 29 16:30:04 2023 removing 5388219 relations and 3388219 ideals in 2000000 cliques
  79. Fri Dec 29 16:30:07 2023 commencing in-memory singleton removal
  80. Fri Dec 29 16:30:07 2023 begin with 43933697 relations and 37353474 unique ideals
  81. Fri Dec 29 16:30:08 2023 reduce to 43591603 relations and 33611405 ideals in 6 passes
  82. Fri Dec 29 16:30:08 2023 max relations containing the same ideal: 115
  83. Fri Dec 29 16:30:21 2023 removing 5323358 relations and 3323358 ideals in 2000000 cliques
  84. Fri Dec 29 16:30:23 2023 commencing in-memory singleton removal
  85. Fri Dec 29 16:30:23 2023 begin with 38268245 relations and 33611405 unique ideals
  86. Fri Dec 29 16:30:24 2023 reduce to 37907836 relations and 29914101 ideals in 6 passes
  87. Fri Dec 29 16:30:24 2023 max relations containing the same ideal: 105
  88. Fri Dec 29 16:30:35 2023 removing 5273397 relations and 3273397 ideals in 2000000 cliques
  89. Fri Dec 29 16:30:36 2023 commencing in-memory singleton removal
  90. Fri Dec 29 16:30:37 2023 begin with 32634439 relations and 29914101 unique ideals
  91. Fri Dec 29 16:30:38 2023 reduce to 32243284 relations and 26232647 ideals in 7 passes
  92. Fri Dec 29 16:30:38 2023 max relations containing the same ideal: 92
  93. Fri Dec 29 16:30:47 2023 removing 5237013 relations and 3237013 ideals in 2000000 cliques
  94. Fri Dec 29 16:30:48 2023 commencing in-memory singleton removal
  95. Fri Dec 29 16:30:49 2023 begin with 27006271 relations and 26232647 unique ideals
  96. Fri Dec 29 16:30:49 2023 reduce to 26562491 relations and 22529943 ideals in 7 passes
  97. Fri Dec 29 16:30:49 2023 max relations containing the same ideal: 82
  98. Fri Dec 29 16:30:57 2023 removing 5213474 relations and 3213474 ideals in 2000000 cliques
  99. Fri Dec 29 16:30:58 2023 commencing in-memory singleton removal
  100. Fri Dec 29 16:30:59 2023 begin with 21349017 relations and 22529943 unique ideals
  101. Fri Dec 29 16:30:59 2023 reduce to 20812459 relations and 18747780 ideals in 7 passes
  102. Fri Dec 29 16:30:59 2023 max relations containing the same ideal: 73
  103. Fri Dec 29 16:31:05 2023 removing 3784173 relations and 2409157 ideals in 1375016 cliques
  104. Fri Dec 29 16:31:06 2023 commencing in-memory singleton removal
  105. Fri Dec 29 16:31:07 2023 begin with 17028286 relations and 18747780 unique ideals
  106. Fri Dec 29 16:31:07 2023 reduce to 16585775 relations and 15871305 ideals in 7 passes
  107. Fri Dec 29 16:31:07 2023 max relations containing the same ideal: 59
  108. Fri Dec 29 16:31:12 2023 removing 134859 relations and 110052 ideals in 24807 cliques
  109. Fri Dec 29 16:31:13 2023 commencing in-memory singleton removal
  110. Fri Dec 29 16:31:13 2023 begin with 16450916 relations and 15871305 unique ideals
  111. Fri Dec 29 16:31:13 2023 reduce to 16449909 relations and 15760242 ideals in 5 passes
  112. Fri Dec 29 16:31:13 2023 max relations containing the same ideal: 59
  113. Fri Dec 29 16:31:15 2023 relations with 0 large ideals: 1947
  114. Fri Dec 29 16:31:15 2023 relations with 1 large ideals: 15738
  115. Fri Dec 29 16:31:15 2023 relations with 2 large ideals: 196890
  116. Fri Dec 29 16:31:15 2023 relations with 3 large ideals: 1024192
  117. Fri Dec 29 16:31:15 2023 relations with 4 large ideals: 2768660
  118. Fri Dec 29 16:31:15 2023 relations with 5 large ideals: 4357619
  119. Fri Dec 29 16:31:15 2023 relations with 6 large ideals: 4258227
  120. Fri Dec 29 16:31:15 2023 relations with 7+ large ideals: 3826636
  121. Fri Dec 29 16:31:15 2023 commencing 2-way merge
  122. Fri Dec 29 16:31:22 2023 reduce to 11466115 relation sets and 10776448 unique ideals
  123. Fri Dec 29 16:31:22 2023 commencing full merge
  124. Fri Dec 29 16:34:17 2023 memory use: 1338.6 MB
  125. Fri Dec 29 16:34:18 2023 found 4867654 cycles, need 4856648
  126. Fri Dec 29 16:34:19 2023 weight of 4856648 cycles is about 680869325 (140.19/cycle)
  127. Fri Dec 29 16:34:19 2023 distribution of cycle lengths:
  128. Fri Dec 29 16:34:19 2023 1 relations: 69331
  129. Fri Dec 29 16:34:19 2023 2 relations: 195480
  130. Fri Dec 29 16:34:19 2023 3 relations: 266001
  131. Fri Dec 29 16:34:19 2023 4 relations: 303261
  132. Fri Dec 29 16:34:19 2023 5 relations: 336806
  133. Fri Dec 29 16:34:19 2023 6 relations: 350548
  134. Fri Dec 29 16:34:19 2023 7 relations: 354662
  135. Fri Dec 29 16:34:19 2023 8 relations: 346125
  136. Fri Dec 29 16:34:19 2023 9 relations: 331905
  137. Fri Dec 29 16:34:19 2023 10+ relations: 2302529
  138. Fri Dec 29 16:34:19 2023 heaviest cycle: 28 relations
  139. Fri Dec 29 16:34:20 2023 commencing cycle optimization
  140. Fri Dec 29 16:34:28 2023 start with 48881710 relations
  141. Fri Dec 29 16:35:59 2023 pruned 3047162 relations
  142. Fri Dec 29 16:36:00 2023 memory use: 1181.5 MB
  143. Fri Dec 29 16:36:00 2023 distribution of cycle lengths:
  144. Fri Dec 29 16:36:00 2023 1 relations: 69331
  145. Fri Dec 29 16:36:00 2023 2 relations: 202109
  146. Fri Dec 29 16:36:00 2023 3 relations: 280256
  147. Fri Dec 29 16:36:00 2023 4 relations: 321105
  148. Fri Dec 29 16:36:00 2023 5 relations: 361111
  149. Fri Dec 29 16:36:00 2023 6 relations: 375840
  150. Fri Dec 29 16:36:00 2023 7 relations: 382869
  151. Fri Dec 29 16:36:00 2023 8 relations: 372232
  152. Fri Dec 29 16:36:00 2023 9 relations: 356897
  153. Fri Dec 29 16:36:00 2023 10+ relations: 2134898
  154. Fri Dec 29 16:36:00 2023 heaviest cycle: 28 relations
  155. Fri Dec 29 16:36:06 2023 RelProcTime: 1191
  156. Fri Dec 29 16:36:06 2023
  157. Fri Dec 29 16:36:06 2023 commencing linear algebra
  158. Fri Dec 29 16:36:06 2023 using VBITS=256
  159. Fri Dec 29 16:36:06 2023 read 4856648 cycles
  160. Fri Dec 29 16:36:13 2023 cycles contain 16142371 unique relations
  161. Fri Dec 29 16:38:11 2023 read 16142371 relations
  162. Fri Dec 29 16:38:12 2023 using 20 quadratic characters above 4294917295
  163. Fri Dec 29 16:38:13 2023 building initial matrix
  164. Fri Dec 29 16:41:12 2023 memory use: 2248.0 MB
  165. Fri Dec 29 16:41:15 2023 read 4856648 cycles
  166. Fri Dec 29 16:41:15 2023 matrix is 4856470 x 4856648 (2575.0 MB) with weight 782722407 (161.17/col)
  167. Fri Dec 29 16:41:15 2023 sparse part has weight 616734054 (126.99/col)
  168. Fri Dec 29 16:42:06 2023 filtering completed in 2 passes
  169. Fri Dec 29 16:42:07 2023 matrix is 4856432 x 4856609 (2575.0 MB) with weight 782720726 (161.17/col)
  170. Fri Dec 29 16:42:07 2023 sparse part has weight 616733668 (126.99/col)
  171. Fri Dec 29 16:42:35 2023 matrix starts at (0, 0)
  172. Fri Dec 29 16:42:36 2023 matrix is 4856432 x 4856609 (2575.0 MB) with weight 782720726 (161.17/col)
  173. Fri Dec 29 16:42:36 2023 sparse part has weight 616733668 (126.99/col)
  174. Fri Dec 29 16:42:36 2023 saving the first 240 matrix rows for later
  175. Fri Dec 29 16:42:37 2023 matrix includes 256 packed rows
  176. Fri Dec 29 16:42:38 2023 matrix is 4856192 x 4856609 (2288.2 MB) with weight 559953685 (115.30/col)
  177. Fri Dec 29 16:42:38 2023 sparse part has weight 522139986 (107.51/col)
  178. Fri Dec 29 16:42:38 2023 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  179. Fri Dec 29 16:42:49 2023 commencing Lanczos iteration (64 threads)
  180. Fri Dec 29 16:42:49 2023 memory use: 3031.2 MB
  181. Fri Dec 29 16:43:31 2023 linear algebra at 0.6%, ETA 1h47m
  182. Fri Dec 29 16:44:35 2023 checking every 40000 dimensions, checkpointing every 2640000 dimensions
  183. Fri Dec 29 18:32:37 2023 lanczos halted after 19028 iterations (dim = 4856191)
  184. Fri Dec 29 18:32:58 2023 recovered 31 nontrivial dependencies
  185. Fri Dec 29 18:32:58 2023 BLanczosTime: 7012
  186. Fri Dec 29 18:32:58 2023
  187. Fri Dec 29 18:32:58 2023 commencing square root phase
  188. Fri Dec 29 18:32:58 2023 handling dependencies 1 to 64
  189. Fri Dec 29 18:32:58 2023 reading relations for dependency 1
  190. Fri Dec 29 18:32:59 2023 read 2427980 cycles
  191. Fri Dec 29 18:33:02 2023 cycles contain 8068872 unique relations
  192. Fri Dec 29 18:34:58 2023 read 8068872 relations
  193. Fri Dec 29 18:35:22 2023 multiplying 8068872 relations
  194. Fri Dec 29 18:36:06 2023 multiply complete, coefficients have about 416.58 million bits
  195. Fri Dec 29 18:36:07 2023 initial square root is modulo 29840549
  196. Fri Dec 29 18:38:16 2023 sqrtTime: 318
  197. Fri Dec 29 18:38:16 2023 p59 factor: 41951530127107524545351650357882323801088012036204965224059
  198. Fri Dec 29 18:38:16 2023 p103 factor: 4513374169491461036242524024283189653798855186873033566903813032205598612552374813971939202729806715287
  199. Fri Dec 29 18:38:16 2023 elapsed time 02:22:01
  200.  
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