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Dec 2nd, 2022
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  1. Fri Dec 2 12:52:24 2022
  2. Fri Dec 2 12:52:24 2022
  3. Fri Dec 2 12:52:24 2022 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Dec 2 12:52:24 2022 random seeds: c8f6dfb6 bda1c2c8
  5. Fri Dec 2 12:52:24 2022 factoring 21456756896633261382793869071550097541024950989094555433405644125004918316168613050768194494243129482769144614838371895555635163709353728903506041880232214451 (158 digits)
  6. Fri Dec 2 12:52:24 2022 no P-1/P+1/ECM available, skipping
  7. Fri Dec 2 12:52:24 2022 commencing number field sieve (158-digit input)
  8. Fri Dec 2 12:52:24 2022 R0: -6625992515116229836115122187411
  9. Fri Dec 2 12:52:24 2022 R1: 3180159971826631
  10. Fri Dec 2 12:52:24 2022 A0: 6954947507933091218146844588952553535328
  11. Fri Dec 2 12:52:24 2022 A1: 15022535296627754265807331690785214
  12. Fri Dec 2 12:52:24 2022 A2: -2789889517881315382688418231
  13. Fri Dec 2 12:52:24 2022 A3: 36260354400836856414
  14. Fri Dec 2 12:52:24 2022 A4: 759238957256
  15. Fri Dec 2 12:52:24 2022 A5: 1680
  16. Fri Dec 2 12:52:24 2022 skew 55491286.05, size 2.397e-15, alpha -8.447, combined = 1.838e-12 rroots = 5
  17. Fri Dec 2 12:52:24 2022
  18. Fri Dec 2 12:52:24 2022 commencing relation filtering
  19. Fri Dec 2 12:52:24 2022 setting target matrix density to 132.0
  20. Fri Dec 2 12:52:24 2022 estimated available RAM is 15960.0 MB
  21. Fri Dec 2 12:52:24 2022 commencing duplicate removal, pass 1
  22. Fri Dec 2 13:07:53 2022 found 5330185 hash collisions in 110705530 relations
  23. Fri Dec 2 13:08:23 2022 added 122207 free relations
  24. Fri Dec 2 13:08:23 2022 commencing duplicate removal, pass 2
  25. Fri Dec 2 13:09:04 2022 found 11 duplicates and 110827726 unique relations
  26. Fri Dec 2 13:09:04 2022 memory use: 378.4 MB
  27. Fri Dec 2 13:09:04 2022 reading ideals above 69926912
  28. Fri Dec 2 13:09:04 2022 commencing singleton removal, initial pass
  29. Fri Dec 2 13:19:30 2022 memory use: 2756.0 MB
  30. Fri Dec 2 13:19:30 2022 reading all ideals from disk
  31. Fri Dec 2 13:19:31 2022 memory use: 1870.8 MB
  32. Fri Dec 2 13:19:35 2022 commencing in-memory singleton removal
  33. Fri Dec 2 13:19:38 2022 begin with 110827726 relations and 84355502 unique ideals
  34. Fri Dec 2 13:20:16 2022 reduce to 79210496 relations and 50037088 ideals in 13 passes
  35. Fri Dec 2 13:20:16 2022 max relations containing the same ideal: 57
  36. Fri Dec 2 13:20:19 2022 reading ideals above 720000
  37. Fri Dec 2 13:20:19 2022 commencing singleton removal, initial pass
  38. Fri Dec 2 13:28:34 2022 memory use: 1506.0 MB
  39. Fri Dec 2 13:28:34 2022 reading all ideals from disk
  40. Fri Dec 2 13:28:36 2022 memory use: 2907.6 MB
  41. Fri Dec 2 13:28:42 2022 keeping 57853955 ideals with weight <= 200, target excess is 413170
  42. Fri Dec 2 13:28:49 2022 commencing in-memory singleton removal
  43. Fri Dec 2 13:28:53 2022 begin with 79210496 relations and 57853955 unique ideals
  44. Fri Dec 2 13:29:14 2022 reduce to 79209267 relations and 57852726 ideals in 5 passes
  45. Fri Dec 2 13:29:14 2022 max relations containing the same ideal: 200
  46. Fri Dec 2 13:29:39 2022 removing 7913404 relations and 5913404 ideals in 2000000 cliques
  47. Fri Dec 2 13:29:41 2022 commencing in-memory singleton removal
  48. Fri Dec 2 13:29:45 2022 begin with 71295863 relations and 57852726 unique ideals
  49. Fri Dec 2 13:30:12 2022 reduce to 70673407 relations and 51297542 ideals in 7 passes
  50. Fri Dec 2 13:30:12 2022 max relations containing the same ideal: 194
  51. Fri Dec 2 13:30:34 2022 removing 6289005 relations and 4289005 ideals in 2000000 cliques
  52. Fri Dec 2 13:30:36 2022 commencing in-memory singleton removal
  53. Fri Dec 2 13:30:40 2022 begin with 64384402 relations and 51297542 unique ideals
  54. Fri Dec 2 13:31:06 2022 reduce to 63959802 relations and 46572102 ideals in 8 passes
  55. Fri Dec 2 13:31:06 2022 max relations containing the same ideal: 183
  56. Fri Dec 2 13:31:26 2022 removing 5858493 relations and 3858493 ideals in 2000000 cliques
  57. Fri Dec 2 13:31:28 2022 commencing in-memory singleton removal
  58. Fri Dec 2 13:31:31 2022 begin with 58101309 relations and 46572102 unique ideals
  59. Fri Dec 2 13:31:52 2022 reduce to 57728268 relations and 42329929 ideals in 7 passes
  60. Fri Dec 2 13:31:52 2022 max relations containing the same ideal: 175
  61. Fri Dec 2 13:32:10 2022 removing 5636602 relations and 3636602 ideals in 2000000 cliques
  62. Fri Dec 2 13:32:12 2022 commencing in-memory singleton removal
  63. Fri Dec 2 13:32:14 2022 begin with 52091666 relations and 42329929 unique ideals
  64. Fri Dec 2 13:32:30 2022 reduce to 51735102 relations and 38325875 ideals in 6 passes
  65. Fri Dec 2 13:32:30 2022 max relations containing the same ideal: 164
  66. Fri Dec 2 13:32:46 2022 removing 5499866 relations and 3499866 ideals in 2000000 cliques
  67. Fri Dec 2 13:32:48 2022 commencing in-memory singleton removal
  68. Fri Dec 2 13:32:50 2022 begin with 46235236 relations and 38325875 unique ideals
  69. Fri Dec 2 13:33:04 2022 reduce to 45877754 relations and 34456543 ideals in 6 passes
  70. Fri Dec 2 13:33:04 2022 max relations containing the same ideal: 150
  71. Fri Dec 2 13:33:17 2022 removing 5408712 relations and 3408712 ideals in 2000000 cliques
  72. Fri Dec 2 13:33:19 2022 commencing in-memory singleton removal
  73. Fri Dec 2 13:33:21 2022 begin with 40469042 relations and 34456543 unique ideals
  74. Fri Dec 2 13:33:35 2022 reduce to 40097655 relations and 30662749 ideals in 7 passes
  75. Fri Dec 2 13:33:35 2022 max relations containing the same ideal: 136
  76. Fri Dec 2 13:33:47 2022 removing 5347860 relations and 3347860 ideals in 2000000 cliques
  77. Fri Dec 2 13:33:49 2022 commencing in-memory singleton removal
  78. Fri Dec 2 13:33:51 2022 begin with 34749795 relations and 30662749 unique ideals
  79. Fri Dec 2 13:34:02 2022 reduce to 34347896 relations and 26896321 ideals in 7 passes
  80. Fri Dec 2 13:34:02 2022 max relations containing the same ideal: 124
  81. Fri Dec 2 13:34:12 2022 removing 5311916 relations and 3311916 ideals in 2000000 cliques
  82. Fri Dec 2 13:34:14 2022 commencing in-memory singleton removal
  83. Fri Dec 2 13:34:15 2022 begin with 29035980 relations and 26896321 unique ideals
  84. Fri Dec 2 13:34:25 2022 reduce to 28586138 relations and 23113344 ideals in 7 passes
  85. Fri Dec 2 13:34:25 2022 max relations containing the same ideal: 110
  86. Fri Dec 2 13:34:33 2022 removing 5294058 relations and 3294058 ideals in 2000000 cliques
  87. Fri Dec 2 13:34:35 2022 commencing in-memory singleton removal
  88. Fri Dec 2 13:34:36 2022 begin with 23292080 relations and 23113344 unique ideals
  89. Fri Dec 2 13:34:44 2022 reduce to 22769947 relations and 19267128 ideals in 7 passes
  90. Fri Dec 2 13:34:44 2022 max relations containing the same ideal: 93
  91. Fri Dec 2 13:34:51 2022 removing 5285807 relations and 3285807 ideals in 2000000 cliques
  92. Fri Dec 2 13:34:52 2022 commencing in-memory singleton removal
  93. Fri Dec 2 13:34:53 2022 begin with 17484140 relations and 19267128 unique ideals
  94. Fri Dec 2 13:34:59 2022 reduce to 16834698 relations and 15285678 ideals in 8 passes
  95. Fri Dec 2 13:34:59 2022 max relations containing the same ideal: 77
  96. Fri Dec 2 13:35:04 2022 removing 3117449 relations and 2047707 ideals in 1069742 cliques
  97. Fri Dec 2 13:35:05 2022 commencing in-memory singleton removal
  98. Fri Dec 2 13:35:06 2022 begin with 13717249 relations and 15285678 unique ideals
  99. Fri Dec 2 13:35:11 2022 reduce to 13327695 relations and 12826051 ideals in 9 passes
  100. Fri Dec 2 13:35:11 2022 max relations containing the same ideal: 64
  101. Fri Dec 2 13:35:16 2022 removing 126816 relations and 104450 ideals in 22366 cliques
  102. Fri Dec 2 13:35:16 2022 commencing in-memory singleton removal
  103. Fri Dec 2 13:35:17 2022 begin with 13200879 relations and 12826051 unique ideals
  104. Fri Dec 2 13:35:20 2022 reduce to 13199997 relations and 12720718 ideals in 5 passes
  105. Fri Dec 2 13:35:20 2022 max relations containing the same ideal: 64
  106. Fri Dec 2 13:35:22 2022 relations with 0 large ideals: 1360
  107. Fri Dec 2 13:35:22 2022 relations with 1 large ideals: 7965
  108. Fri Dec 2 13:35:22 2022 relations with 2 large ideals: 108181
  109. Fri Dec 2 13:35:22 2022 relations with 3 large ideals: 626096
  110. Fri Dec 2 13:35:22 2022 relations with 4 large ideals: 1896019
  111. Fri Dec 2 13:35:22 2022 relations with 5 large ideals: 3313844
  112. Fri Dec 2 13:35:22 2022 relations with 6 large ideals: 3579601
  113. Fri Dec 2 13:35:22 2022 relations with 7+ large ideals: 3666931
  114. Fri Dec 2 13:35:22 2022 commencing 2-way merge
  115. Fri Dec 2 13:35:27 2022 reduce to 8914647 relation sets and 8435368 unique ideals
  116. Fri Dec 2 13:35:27 2022 commencing full merge
  117. Fri Dec 2 13:37:50 2022 memory use: 1089.5 MB
  118. Fri Dec 2 13:37:51 2022 found 3924942 cycles, need 3905568
  119. Fri Dec 2 13:37:52 2022 weight of 3905568 cycles is about 515545812 (132.00/cycle)
  120. Fri Dec 2 13:37:52 2022 distribution of cycle lengths:
  121. Fri Dec 2 13:37:52 2022 1 relations: 63942
  122. Fri Dec 2 13:37:52 2022 2 relations: 173759
  123. Fri Dec 2 13:37:52 2022 3 relations: 234037
  124. Fri Dec 2 13:37:52 2022 4 relations: 260997
  125. Fri Dec 2 13:37:52 2022 5 relations: 286835
  126. Fri Dec 2 13:37:52 2022 6 relations: 293437
  127. Fri Dec 2 13:37:52 2022 7 relations: 296828
  128. Fri Dec 2 13:37:52 2022 8 relations: 286178
  129. Fri Dec 2 13:37:52 2022 9 relations: 271996
  130. Fri Dec 2 13:37:52 2022 10+ relations: 1737559
  131. Fri Dec 2 13:37:52 2022 heaviest cycle: 28 relations
  132. Fri Dec 2 13:37:53 2022 commencing cycle optimization
  133. Fri Dec 2 13:38:00 2022 start with 37517928 relations
  134. Fri Dec 2 13:39:08 2022 pruned 2129192 relations
  135. Fri Dec 2 13:39:08 2022 memory use: 933.8 MB
  136. Fri Dec 2 13:39:08 2022 distribution of cycle lengths:
  137. Fri Dec 2 13:39:08 2022 1 relations: 63942
  138. Fri Dec 2 13:39:08 2022 2 relations: 179293
  139. Fri Dec 2 13:39:08 2022 3 relations: 245676
  140. Fri Dec 2 13:39:08 2022 4 relations: 275442
  141. Fri Dec 2 13:39:08 2022 5 relations: 305412
  142. Fri Dec 2 13:39:08 2022 6 relations: 312755
  143. Fri Dec 2 13:39:08 2022 7 relations: 317787
  144. Fri Dec 2 13:39:08 2022 8 relations: 305700
  145. Fri Dec 2 13:39:08 2022 9 relations: 289273
  146. Fri Dec 2 13:39:08 2022 10+ relations: 1610288
  147. Fri Dec 2 13:39:08 2022 heaviest cycle: 28 relations
  148. Fri Dec 2 13:39:14 2022 RelProcTime: 2810
  149. Fri Dec 2 13:39:14 2022
  150. Fri Dec 2 13:39:14 2022 commencing linear algebra
  151. Fri Dec 2 13:39:14 2022 using VBITS=256
  152. Fri Dec 2 13:39:14 2022 read 3905568 cycles
  153. Fri Dec 2 13:39:21 2022 cycles contain 12977488 unique relations
  154. Fri Dec 2 13:40:26 2022 read 12977488 relations
  155. Fri Dec 2 13:40:39 2022 using 20 quadratic characters above 4294917295
  156. Fri Dec 2 13:41:30 2022 building initial matrix
  157. Fri Dec 2 13:44:07 2022 memory use: 1802.7 MB
  158. Fri Dec 2 13:44:09 2022 read 3905568 cycles
  159. Fri Dec 2 13:44:09 2022 matrix is 3905390 x 3905568 (1978.2 MB) with weight 604694414 (154.83/col)
  160. Fri Dec 2 13:44:09 2022 sparse part has weight 471713385 (120.78/col)
  161. Fri Dec 2 13:44:52 2022 filtering completed in 2 passes
  162. Fri Dec 2 13:44:53 2022 matrix is 3905332 x 3905510 (1978.2 MB) with weight 604691872 (154.83/col)
  163. Fri Dec 2 13:44:53 2022 sparse part has weight 471712827 (120.78/col)
  164. Fri Dec 2 13:45:02 2022 matrix starts at (0, 0)
  165. Fri Dec 2 13:45:03 2022 matrix is 3905332 x 3905510 (1978.2 MB) with weight 604691872 (154.83/col)
  166. Fri Dec 2 13:45:03 2022 sparse part has weight 471712827 (120.78/col)
  167. Fri Dec 2 13:45:03 2022 saving the first 240 matrix rows for later
  168. Fri Dec 2 13:45:04 2022 matrix includes 256 packed rows
  169. Fri Dec 2 13:45:05 2022 matrix is 3905092 x 3905510 (1759.2 MB) with weight 427896183 (109.56/col)
  170. Fri Dec 2 13:45:05 2022 sparse part has weight 398682883 (102.08/col)
  171. Fri Dec 2 13:45:05 2022 using GPU 0 (NVIDIA GeForce RTX 3060)
  172. Fri Dec 2 13:45:05 2022 selected card has CUDA arch 8.6
  173. Fri Dec 2 13:45:27 2022 commencing Lanczos iteration
  174. Fri Dec 2 13:45:27 2022 memory use: 4025.0 MB
  175. Fri Dec 2 13:45:44 2022 linear algebra at 0.2%, ETA 2h24m
  176. Fri Dec 2 13:45:45 2022 checkpointing every 1590000 dimensions
  177. Fri Dec 2 14:53:25 2022 lanczos halted after 15301 iterations (dim = 3905092)
  178. Fri Dec 2 14:53:38 2022 recovered 30 nontrivial dependencies
  179. Fri Dec 2 14:53:39 2022 BLanczosTime: 4465
  180. Fri Dec 2 14:53:39 2022
  181. Fri Dec 2 14:53:39 2022 commencing square root phase
  182. Fri Dec 2 14:53:39 2022 handling dependencies 1 to 64
  183. Fri Dec 2 14:53:39 2022 reading relations for dependency 1
  184. Fri Dec 2 14:53:45 2022 read 1953677 cycles
  185. Fri Dec 2 14:53:48 2022 cycles contain 6490120 unique relations
  186. Fri Dec 2 14:54:29 2022 read 6490120 relations
  187. Fri Dec 2 14:54:53 2022 multiplying 6490120 relations
  188. Fri Dec 2 14:59:37 2022 multiply complete, coefficients have about 323.55 million bits
  189. Fri Dec 2 14:59:39 2022 initial square root is modulo 639167
  190. Fri Dec 2 15:05:20 2022 sqrtTime: 701
  191. Fri Dec 2 15:05:20 2022 p61 factor: 2843038573419992929946041547614240532949233314990803412698601
  192. Fri Dec 2 15:05:20 2022 p97 factor: 7547121272724119247046307356294023045019746495488242958400462194473968251519667095664260312705851
  193. Fri Dec 2 15:05:20 2022 elapsed time 02:12:56
  194.  
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