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Oct 11th, 2022
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  1. Tue Oct 11 05:38:40 2022
  2. Tue Oct 11 05:38:40 2022
  3. Tue Oct 11 05:38:40 2022 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Oct 11 05:38:40 2022 random seeds: 28beb99b b26cae64
  5. Tue Oct 11 05:38:40 2022 factoring 556872116960221462100518005632552947050751228502375624070576282683013752693347585137738713152668667718268322197418216840217421526086401321170375386047752631 (156 digits)
  6. Tue Oct 11 05:38:40 2022 no P-1/P+1/ECM available, skipping
  7. Tue Oct 11 05:38:40 2022 commencing number field sieve (156-digit input)
  8. Tue Oct 11 05:38:40 2022 R0: -1450759355065714745452801835475
  9. Tue Oct 11 05:38:40 2022 R1: 2647574500267703
  10. Tue Oct 11 05:38:40 2022 A0: -8424337342928521867118969261246038208
  11. Tue Oct 11 05:38:40 2022 A1: 275882383036805710207474479599888
  12. Tue Oct 11 05:38:40 2022 A2: 110981655512887972352798340
  13. Tue Oct 11 05:38:40 2022 A3: -7931985909853111955
  14. Tue Oct 11 05:38:40 2022 A4: -1838984909752
  15. Tue Oct 11 05:38:40 2022 A5: 86652
  16. Tue Oct 11 05:38:40 2022 skew 7192312.60, size 3.347e-15, alpha -7.122, combined = 2.291e-12 rroots = 5
  17. Tue Oct 11 05:38:40 2022
  18. Tue Oct 11 05:38:40 2022 commencing relation filtering
  19. Tue Oct 11 05:38:40 2022 setting target matrix density to 120.0
  20. Tue Oct 11 05:38:40 2022 estimated available RAM is 15960.0 MB
  21. Tue Oct 11 05:38:40 2022 commencing duplicate removal, pass 1
  22. Tue Oct 11 05:46:26 2022 error -11 reading relation 70580070
  23. Tue Oct 11 05:51:15 2022 found 5639662 hash collisions in 113966235 relations
  24. Tue Oct 11 05:51:40 2022 added 121513 free relations
  25. Tue Oct 11 05:51:40 2022 commencing duplicate removal, pass 2
  26. Tue Oct 11 05:52:10 2022 found 2 duplicates and 114087746 unique relations
  27. Tue Oct 11 05:52:10 2022 memory use: 378.4 MB
  28. Tue Oct 11 05:52:10 2022 reading ideals above 65994752
  29. Tue Oct 11 05:52:10 2022 commencing singleton removal, initial pass
  30. Tue Oct 11 06:01:47 2022 memory use: 2756.0 MB
  31. Tue Oct 11 06:01:47 2022 reading all ideals from disk
  32. Tue Oct 11 06:01:52 2022 memory use: 1929.0 MB
  33. Tue Oct 11 06:01:55 2022 commencing in-memory singleton removal
  34. Tue Oct 11 06:01:59 2022 begin with 114087746 relations and 85152177 unique ideals
  35. Tue Oct 11 06:02:36 2022 reduce to 83090337 relations and 51614860 ideals in 12 passes
  36. Tue Oct 11 06:02:36 2022 max relations containing the same ideal: 58
  37. Tue Oct 11 06:02:40 2022 reading ideals above 720000
  38. Tue Oct 11 06:02:40 2022 commencing singleton removal, initial pass
  39. Tue Oct 11 06:11:34 2022 memory use: 1506.0 MB
  40. Tue Oct 11 06:11:34 2022 reading all ideals from disk
  41. Tue Oct 11 06:11:36 2022 memory use: 3044.2 MB
  42. Tue Oct 11 06:11:42 2022 keeping 58972178 ideals with weight <= 200, target excess is 434272
  43. Tue Oct 11 06:11:50 2022 commencing in-memory singleton removal
  44. Tue Oct 11 06:11:56 2022 begin with 83090337 relations and 58972178 unique ideals
  45. Tue Oct 11 06:12:23 2022 reduce to 83090049 relations and 58971890 ideals in 5 passes
  46. Tue Oct 11 06:12:23 2022 max relations containing the same ideal: 200
  47. Tue Oct 11 06:12:53 2022 removing 7691872 relations and 5691872 ideals in 2000000 cliques
  48. Tue Oct 11 06:12:55 2022 commencing in-memory singleton removal
  49. Tue Oct 11 06:13:01 2022 begin with 75398177 relations and 58971890 unique ideals
  50. Tue Oct 11 06:13:34 2022 reduce to 74829530 relations and 52694173 ideals in 7 passes
  51. Tue Oct 11 06:13:34 2022 max relations containing the same ideal: 196
  52. Tue Oct 11 06:14:02 2022 removing 6137295 relations and 4137295 ideals in 2000000 cliques
  53. Tue Oct 11 06:14:04 2022 commencing in-memory singleton removal
  54. Tue Oct 11 06:14:09 2022 begin with 68692235 relations and 52694173 unique ideals
  55. Tue Oct 11 06:14:35 2022 reduce to 68310672 relations and 48165011 ideals in 6 passes
  56. Tue Oct 11 06:14:35 2022 max relations containing the same ideal: 186
  57. Tue Oct 11 06:15:00 2022 removing 5723744 relations and 3723744 ideals in 2000000 cliques
  58. Tue Oct 11 06:15:02 2022 commencing in-memory singleton removal
  59. Tue Oct 11 06:15:06 2022 begin with 62586928 relations and 48165011 unique ideals
  60. Tue Oct 11 06:15:34 2022 reduce to 62255614 relations and 44100942 ideals in 7 passes
  61. Tue Oct 11 06:15:34 2022 max relations containing the same ideal: 178
  62. Tue Oct 11 06:15:57 2022 removing 5503829 relations and 3503829 ideals in 2000000 cliques
  63. Tue Oct 11 06:15:59 2022 commencing in-memory singleton removal
  64. Tue Oct 11 06:16:02 2022 begin with 56751785 relations and 44100942 unique ideals
  65. Tue Oct 11 06:16:24 2022 reduce to 56440629 relations and 40276968 ideals in 6 passes
  66. Tue Oct 11 06:16:24 2022 max relations containing the same ideal: 166
  67. Tue Oct 11 06:16:44 2022 removing 5368107 relations and 3368107 ideals in 2000000 cliques
  68. Tue Oct 11 06:16:46 2022 commencing in-memory singleton removal
  69. Tue Oct 11 06:16:50 2022 begin with 51072522 relations and 40276968 unique ideals
  70. Tue Oct 11 06:17:08 2022 reduce to 50766978 relations and 36593906 ideals in 6 passes
  71. Tue Oct 11 06:17:08 2022 max relations containing the same ideal: 156
  72. Tue Oct 11 06:17:27 2022 removing 5272223 relations and 3272223 ideals in 2000000 cliques
  73. Tue Oct 11 06:17:29 2022 commencing in-memory singleton removal
  74. Tue Oct 11 06:17:32 2022 begin with 45494755 relations and 36593906 unique ideals
  75. Tue Oct 11 06:17:48 2022 reduce to 45184793 relations and 33001253 ideals in 6 passes
  76. Tue Oct 11 06:17:48 2022 max relations containing the same ideal: 142
  77. Tue Oct 11 06:18:05 2022 removing 5202702 relations and 3202702 ideals in 2000000 cliques
  78. Tue Oct 11 06:18:07 2022 commencing in-memory singleton removal
  79. Tue Oct 11 06:18:09 2022 begin with 39982091 relations and 33001253 unique ideals
  80. Tue Oct 11 06:18:23 2022 reduce to 39655759 relations and 29460163 ideals in 6 passes
  81. Tue Oct 11 06:18:23 2022 max relations containing the same ideal: 133
  82. Tue Oct 11 06:18:38 2022 removing 5156115 relations and 3156115 ideals in 2000000 cliques
  83. Tue Oct 11 06:18:40 2022 commencing in-memory singleton removal
  84. Tue Oct 11 06:18:42 2022 begin with 34499644 relations and 29460163 unique ideals
  85. Tue Oct 11 06:18:54 2022 reduce to 34147045 relations and 25936910 ideals in 6 passes
  86. Tue Oct 11 06:18:54 2022 max relations containing the same ideal: 122
  87. Tue Oct 11 06:19:06 2022 removing 5125050 relations and 3125050 ideals in 2000000 cliques
  88. Tue Oct 11 06:19:08 2022 commencing in-memory singleton removal
  89. Tue Oct 11 06:19:10 2022 begin with 29021995 relations and 25936910 unique ideals
  90. Tue Oct 11 06:19:20 2022 reduce to 28628182 relations and 22399544 ideals in 6 passes
  91. Tue Oct 11 06:19:20 2022 max relations containing the same ideal: 107
  92. Tue Oct 11 06:19:30 2022 removing 5106016 relations and 3106016 ideals in 2000000 cliques
  93. Tue Oct 11 06:19:32 2022 commencing in-memory singleton removal
  94. Tue Oct 11 06:19:33 2022 begin with 23522166 relations and 22399544 unique ideals
  95. Tue Oct 11 06:19:42 2022 reduce to 23064799 relations and 18810777 ideals in 7 passes
  96. Tue Oct 11 06:19:42 2022 max relations containing the same ideal: 94
  97. Tue Oct 11 06:19:50 2022 removing 5098630 relations and 3098630 ideals in 2000000 cliques
  98. Tue Oct 11 06:19:52 2022 commencing in-memory singleton removal
  99. Tue Oct 11 06:19:53 2022 begin with 17966169 relations and 18810777 unique ideals
  100. Tue Oct 11 06:19:59 2022 reduce to 17410336 relations and 15118287 ideals in 7 passes
  101. Tue Oct 11 06:19:59 2022 max relations containing the same ideal: 75
  102. Tue Oct 11 06:20:05 2022 removing 4609882 relations and 2821589 ideals in 1788293 cliques
  103. Tue Oct 11 06:20:06 2022 commencing in-memory singleton removal
  104. Tue Oct 11 06:20:07 2022 begin with 12800454 relations and 15118287 unique ideals
  105. Tue Oct 11 06:20:12 2022 reduce to 12162686 relations and 11605768 ideals in 9 passes
  106. Tue Oct 11 06:20:12 2022 max relations containing the same ideal: 63
  107. Tue Oct 11 06:20:16 2022 removing 270176 relations and 217014 ideals in 53162 cliques
  108. Tue Oct 11 06:20:16 2022 commencing in-memory singleton removal
  109. Tue Oct 11 06:20:17 2022 begin with 11892510 relations and 11605768 unique ideals
  110. Tue Oct 11 06:20:19 2022 reduce to 11886812 relations and 11383026 ideals in 5 passes
  111. Tue Oct 11 06:20:19 2022 max relations containing the same ideal: 62
  112. Tue Oct 11 06:20:21 2022 relations with 0 large ideals: 1415
  113. Tue Oct 11 06:20:21 2022 relations with 1 large ideals: 9431
  114. Tue Oct 11 06:20:21 2022 relations with 2 large ideals: 122278
  115. Tue Oct 11 06:20:21 2022 relations with 3 large ideals: 669837
  116. Tue Oct 11 06:20:21 2022 relations with 4 large ideals: 1889437
  117. Tue Oct 11 06:20:21 2022 relations with 5 large ideals: 3084434
  118. Tue Oct 11 06:20:21 2022 relations with 6 large ideals: 3130881
  119. Tue Oct 11 06:20:21 2022 relations with 7+ large ideals: 2979099
  120. Tue Oct 11 06:20:21 2022 commencing 2-way merge
  121. Tue Oct 11 06:20:26 2022 reduce to 8224143 relation sets and 7720357 unique ideals
  122. Tue Oct 11 06:20:26 2022 commencing full merge
  123. Tue Oct 11 06:22:33 2022 memory use: 982.3 MB
  124. Tue Oct 11 06:22:34 2022 found 3697395 cycles, need 3660557
  125. Tue Oct 11 06:22:35 2022 weight of 3660557 cycles is about 439744230 (120.13/cycle)
  126. Tue Oct 11 06:22:35 2022 distribution of cycle lengths:
  127. Tue Oct 11 06:22:35 2022 1 relations: 70988
  128. Tue Oct 11 06:22:35 2022 2 relations: 186005
  129. Tue Oct 11 06:22:35 2022 3 relations: 252428
  130. Tue Oct 11 06:22:35 2022 4 relations: 282514
  131. Tue Oct 11 06:22:35 2022 5 relations: 306168
  132. Tue Oct 11 06:22:35 2022 6 relations: 308074
  133. Tue Oct 11 06:22:35 2022 7 relations: 299254
  134. Tue Oct 11 06:22:35 2022 8 relations: 281744
  135. Tue Oct 11 06:22:35 2022 9 relations: 257492
  136. Tue Oct 11 06:22:35 2022 10+ relations: 1415890
  137. Tue Oct 11 06:22:35 2022 heaviest cycle: 28 relations
  138. Tue Oct 11 06:22:36 2022 commencing cycle optimization
  139. Tue Oct 11 06:22:42 2022 start with 32423397 relations
  140. Tue Oct 11 06:23:37 2022 pruned 1793432 relations
  141. Tue Oct 11 06:23:37 2022 memory use: 827.3 MB
  142. Tue Oct 11 06:23:37 2022 distribution of cycle lengths:
  143. Tue Oct 11 06:23:37 2022 1 relations: 70988
  144. Tue Oct 11 06:23:37 2022 2 relations: 192052
  145. Tue Oct 11 06:23:37 2022 3 relations: 265710
  146. Tue Oct 11 06:23:37 2022 4 relations: 298342
  147. Tue Oct 11 06:23:37 2022 5 relations: 326545
  148. Tue Oct 11 06:23:37 2022 6 relations: 328425
  149. Tue Oct 11 06:23:37 2022 7 relations: 319577
  150. Tue Oct 11 06:23:37 2022 8 relations: 298268
  151. Tue Oct 11 06:23:37 2022 9 relations: 270416
  152. Tue Oct 11 06:23:37 2022 10+ relations: 1290234
  153. Tue Oct 11 06:23:37 2022 heaviest cycle: 28 relations
  154. Tue Oct 11 06:23:41 2022 RelProcTime: 2701
  155. Tue Oct 11 06:23:42 2022
  156. Tue Oct 11 06:23:42 2022 commencing linear algebra
  157. Tue Oct 11 06:23:42 2022 using VBITS=256
  158. Tue Oct 11 06:23:42 2022 read 3660557 cycles
  159. Tue Oct 11 06:23:48 2022 cycles contain 11653586 unique relations
  160. Tue Oct 11 06:24:45 2022 read 11653586 relations
  161. Tue Oct 11 06:24:58 2022 using 20 quadratic characters above 4294917295
  162. Tue Oct 11 06:25:43 2022 building initial matrix
  163. Tue Oct 11 06:28:02 2022 memory use: 1637.3 MB
  164. Tue Oct 11 06:28:04 2022 read 3660557 cycles
  165. Tue Oct 11 06:28:04 2022 matrix is 3660380 x 3660557 (1707.5 MB) with weight 530460116 (144.91/col)
  166. Tue Oct 11 06:28:04 2022 sparse part has weight 403678877 (110.28/col)
  167. Tue Oct 11 06:28:42 2022 filtering completed in 2 passes
  168. Tue Oct 11 06:28:43 2022 matrix is 3660231 x 3660408 (1707.5 MB) with weight 530451162 (144.92/col)
  169. Tue Oct 11 06:28:43 2022 sparse part has weight 403675509 (110.28/col)
  170. Tue Oct 11 06:28:51 2022 matrix starts at (0, 0)
  171. Tue Oct 11 06:28:52 2022 matrix is 3660231 x 3660408 (1707.5 MB) with weight 530451162 (144.92/col)
  172. Tue Oct 11 06:28:52 2022 sparse part has weight 403675509 (110.28/col)
  173. Tue Oct 11 06:28:52 2022 saving the first 240 matrix rows for later
  174. Tue Oct 11 06:28:52 2022 matrix includes 256 packed rows
  175. Tue Oct 11 06:28:54 2022 matrix is 3659991 x 3660408 (1537.3 MB) with weight 368245574 (100.60/col)
  176. Tue Oct 11 06:28:54 2022 sparse part has weight 344438359 (94.10/col)
  177. Tue Oct 11 06:28:54 2022 using GPU 0 (NVIDIA GeForce RTX 3060)
  178. Tue Oct 11 06:28:54 2022 selected card has CUDA arch 8.6
  179. Tue Oct 11 06:29:13 2022 commencing Lanczos iteration
  180. Tue Oct 11 06:29:13 2022 memory use: 3549.4 MB
  181. Tue Oct 11 06:29:22 2022 linear algebra at 0.2%, ETA 1h11m
  182. Tue Oct 11 06:29:22 2022 checkpointing every 3170000 dimensions
  183. Tue Oct 11 08:16:50 2022 lanczos halted after 14341 iterations (dim = 3659991)
  184. Tue Oct 11 08:17:03 2022 recovered 31 nontrivial dependencies
  185. Tue Oct 11 08:17:03 2022 BLanczosTime: 6801
  186. Tue Oct 11 08:17:03 2022
  187. Tue Oct 11 08:17:03 2022 commencing square root phase
  188. Tue Oct 11 08:17:03 2022 handling dependencies 1 to 64
  189. Tue Oct 11 08:17:03 2022 reading relations for dependency 1
  190. Tue Oct 11 08:17:04 2022 read 1828912 cycles
  191. Tue Oct 11 08:17:07 2022 cycles contain 5822256 unique relations
  192. Tue Oct 11 08:17:43 2022 read 5822256 relations
  193. Tue Oct 11 08:18:04 2022 multiplying 5822256 relations
  194. Tue Oct 11 08:22:33 2022 multiply complete, coefficients have about 307.65 million bits
  195. Tue Oct 11 08:22:35 2022 initial square root is modulo 331519
  196. Tue Oct 11 08:27:58 2022 sqrtTime: 655
  197. Tue Oct 11 08:27:58 2022 p72 factor: 184665102485466806153058929419021225924431570102193803476458999437709723
  198. Tue Oct 11 08:27:58 2022 p85 factor: 3015578522769603690186134941717181665183666081956930516882478831362052827665130776597
  199. Tue Oct 11 08:27:58 2022 elapsed time 02:49:18
  200.  
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