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May 28th, 2023
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  1. Sat May 27 13:44:02 2023
  2. Sat May 27 13:44:02 2023
  3. Sat May 27 13:44:02 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat May 27 13:44:02 2023 random seeds: c11ae435 176c48b2
  5. Sat May 27 13:44:02 2023 factoring 22188993743192961178676805465380743811299482686711711321846493458572740483200436051615169659590579701949532898985260524898278810463112498735966551001775270253934860064389488112216210284237136543 (194 digits)
  6. Sat May 27 13:44:02 2023 no P-1/P+1/ECM available, skipping
  7. Sat May 27 13:44:02 2023 commencing number field sieve (194-digit input)
  8. Sat May 27 13:44:02 2023 R0: 21486482876493613864830890078644584529
  9. Sat May 27 13:44:02 2023 R1: -1
  10. Sat May 27 13:44:02 2023 A0: -1
  11. Sat May 27 13:44:02 2023 A1: 0
  12. Sat May 27 13:44:02 2023 A2: 0
  13. Sat May 27 13:44:02 2023 A3: 0
  14. Sat May 27 13:44:02 2023 A4: 0
  15. Sat May 27 13:44:02 2023 A5: 0
  16. Sat May 27 13:44:02 2023 A6: 1667353
  17. Sat May 27 13:44:02 2023 skew 0.12, size 5.677e-12, alpha 1.494, combined = 4.390e-13 rroots = 2
  18. Sat May 27 13:44:02 2023
  19. Sat May 27 13:44:02 2023 commencing relation filtering
  20. Sat May 27 13:44:02 2023 setting target matrix density to 110.0
  21. Sat May 27 13:44:02 2023 estimated available RAM is 15960.0 MB
  22. Sat May 27 13:44:02 2023 commencing duplicate removal, pass 1
  23. Sat May 27 13:59:46 2023 skipped 1159 relations with b > 2^32
  24. Sat May 27 13:59:46 2023 skipped 4 relations with composite factors
  25. Sat May 27 13:59:46 2023 found 8017670 hash collisions in 136784402 relations
  26. Sat May 27 14:00:02 2023 added 1218692 free relations
  27. Sat May 27 14:00:02 2023 commencing duplicate removal, pass 2
  28. Sat May 27 14:00:40 2023 found 0 duplicates and 138003094 unique relations
  29. Sat May 27 14:00:40 2023 memory use: 394.4 MB
  30. Sat May 27 14:00:40 2023 reading ideals above 119865344
  31. Sat May 27 14:00:40 2023 commencing singleton removal, initial pass
  32. Sat May 27 14:13:18 2023 memory use: 3012.0 MB
  33. Sat May 27 14:13:18 2023 reading all ideals from disk
  34. Sat May 27 14:13:22 2023 memory use: 2450.2 MB
  35. Sat May 27 14:13:27 2023 commencing in-memory singleton removal
  36. Sat May 27 14:13:31 2023 begin with 138003094 relations and 116662097 unique ideals
  37. Sat May 27 14:14:18 2023 reduce to 86898499 relations and 60339519 ideals in 13 passes
  38. Sat May 27 14:14:18 2023 max relations containing the same ideal: 39
  39. Sat May 27 14:14:23 2023 reading ideals above 720000
  40. Sat May 27 14:14:23 2023 commencing singleton removal, initial pass
  41. Sat May 27 14:24:46 2023 memory use: 1506.0 MB
  42. Sat May 27 14:24:46 2023 reading all ideals from disk
  43. Sat May 27 14:24:52 2023 memory use: 3391.3 MB
  44. Sat May 27 14:25:00 2023 keeping 73557816 ideals with weight <= 200, target excess is 441210
  45. Sat May 27 14:25:09 2023 commencing in-memory singleton removal
  46. Sat May 27 14:25:16 2023 begin with 86898500 relations and 73557816 unique ideals
  47. Sat May 27 14:25:56 2023 reduce to 86897497 relations and 73556812 ideals in 6 passes
  48. Sat May 27 14:25:56 2023 max relations containing the same ideal: 200
  49. Sat May 27 14:26:36 2023 removing 10129600 relations and 8129601 ideals in 2000000 cliques
  50. Sat May 27 14:26:39 2023 commencing in-memory singleton removal
  51. Sat May 27 14:26:45 2023 begin with 76767897 relations and 73556812 unique ideals
  52. Sat May 27 14:27:32 2023 reduce to 75820411 relations and 64451916 ideals in 8 passes
  53. Sat May 27 14:27:32 2023 max relations containing the same ideal: 193
  54. Sat May 27 14:28:05 2023 removing 7915758 relations and 5915758 ideals in 2000000 cliques
  55. Sat May 27 14:28:08 2023 commencing in-memory singleton removal
  56. Sat May 27 14:28:14 2023 begin with 67904653 relations and 64451916 unique ideals
  57. Sat May 27 14:28:58 2023 reduce to 67241640 relations and 57855383 ideals in 9 passes
  58. Sat May 27 14:28:58 2023 max relations containing the same ideal: 180
  59. Sat May 27 14:29:27 2023 removing 7291345 relations and 5291345 ideals in 2000000 cliques
  60. Sat May 27 14:29:30 2023 commencing in-memory singleton removal
  61. Sat May 27 14:29:35 2023 begin with 59950295 relations and 57855383 unique ideals
  62. Sat May 27 14:30:05 2023 reduce to 59339573 relations and 51936143 ideals in 7 passes
  63. Sat May 27 14:30:05 2023 max relations containing the same ideal: 167
  64. Sat May 27 14:30:31 2023 removing 6982528 relations and 4982528 ideals in 2000000 cliques
  65. Sat May 27 14:30:34 2023 commencing in-memory singleton removal
  66. Sat May 27 14:30:38 2023 begin with 52357045 relations and 51936143 unique ideals
  67. Sat May 27 14:31:03 2023 reduce to 51746464 relations and 46324285 ideals in 7 passes
  68. Sat May 27 14:31:03 2023 max relations containing the same ideal: 155
  69. Sat May 27 14:31:26 2023 removing 6798962 relations and 4798962 ideals in 2000000 cliques
  70. Sat May 27 14:31:29 2023 commencing in-memory singleton removal
  71. Sat May 27 14:31:32 2023 begin with 44947502 relations and 46324285 unique ideals
  72. Sat May 27 14:31:53 2023 reduce to 44305541 relations and 40861392 ideals in 7 passes
  73. Sat May 27 14:31:53 2023 max relations containing the same ideal: 138
  74. Sat May 27 14:32:13 2023 removing 6678652 relations and 4678652 ideals in 2000000 cliques
  75. Sat May 27 14:32:16 2023 commencing in-memory singleton removal
  76. Sat May 27 14:32:18 2023 begin with 37626889 relations and 40861392 unique ideals
  77. Sat May 27 14:32:41 2023 reduce to 36910554 relations and 35438006 ideals in 9 passes
  78. Sat May 27 14:32:41 2023 max relations containing the same ideal: 122
  79. Sat May 27 14:32:58 2023 removing 3700116 relations and 2739372 ideals in 960744 cliques
  80. Sat May 27 14:33:00 2023 commencing in-memory singleton removal
  81. Sat May 27 14:33:02 2023 begin with 33210438 relations and 35438006 unique ideals
  82. Sat May 27 14:33:17 2023 reduce to 32947964 relations and 32429928 ideals in 7 passes
  83. Sat May 27 14:33:17 2023 max relations containing the same ideal: 112
  84. Sat May 27 14:33:38 2023 relations with 0 large ideals: 15944
  85. Sat May 27 14:33:38 2023 relations with 1 large ideals: 5447
  86. Sat May 27 14:33:38 2023 relations with 2 large ideals: 52818
  87. Sat May 27 14:33:38 2023 relations with 3 large ideals: 418611
  88. Sat May 27 14:33:38 2023 relations with 4 large ideals: 1837560
  89. Sat May 27 14:33:38 2023 relations with 5 large ideals: 4852117
  90. Sat May 27 14:33:38 2023 relations with 6 large ideals: 8060043
  91. Sat May 27 14:33:38 2023 relations with 7+ large ideals: 17705424
  92. Sat May 27 14:33:38 2023 commencing 2-way merge
  93. Sat May 27 14:33:59 2023 reduce to 22000520 relation sets and 21482484 unique ideals
  94. Sat May 27 14:33:59 2023 commencing full merge
  95. Sat May 27 14:41:54 2023 memory use: 2844.4 MB
  96. Sat May 27 14:41:56 2023 found 10108103 cycles, need 10082684
  97. Sat May 27 14:41:59 2023 weight of 10082684 cycles is about 1109241485 (110.01/cycle)
  98. Sat May 27 14:41:59 2023 distribution of cycle lengths:
  99. Sat May 27 14:41:59 2023 1 relations: 478187
  100. Sat May 27 14:41:59 2023 2 relations: 668075
  101. Sat May 27 14:41:59 2023 3 relations: 778766
  102. Sat May 27 14:41:59 2023 4 relations: 801301
  103. Sat May 27 14:41:59 2023 5 relations: 808222
  104. Sat May 27 14:41:59 2023 6 relations: 786663
  105. Sat May 27 14:41:59 2023 7 relations: 756776
  106. Sat May 27 14:41:59 2023 8 relations: 710688
  107. Sat May 27 14:41:59 2023 9 relations: 655677
  108. Sat May 27 14:41:59 2023 10+ relations: 3638329
  109. Sat May 27 14:41:59 2023 heaviest cycle: 28 relations
  110. Sat May 27 14:42:02 2023 commencing cycle optimization
  111. Sat May 27 14:42:19 2023 start with 84283943 relations
  112. Sat May 27 14:45:18 2023 pruned 3773946 relations
  113. Sat May 27 14:45:18 2023 memory use: 2242.0 MB
  114. Sat May 27 14:45:18 2023 distribution of cycle lengths:
  115. Sat May 27 14:45:18 2023 1 relations: 478187
  116. Sat May 27 14:45:18 2023 2 relations: 685555
  117. Sat May 27 14:45:18 2023 3 relations: 813322
  118. Sat May 27 14:45:18 2023 4 relations: 834724
  119. Sat May 27 14:45:18 2023 5 relations: 848845
  120. Sat May 27 14:45:18 2023 6 relations: 823099
  121. Sat May 27 14:45:18 2023 7 relations: 793188
  122. Sat May 27 14:45:18 2023 8 relations: 741148
  123. Sat May 27 14:45:18 2023 9 relations: 680130
  124. Sat May 27 14:45:18 2023 10+ relations: 3384486
  125. Sat May 27 14:45:18 2023 heaviest cycle: 28 relations
  126. Sat May 27 14:45:38 2023 RelProcTime: 3696
  127. Sat May 27 14:45:38 2023 elapsed time 01:01:36
  128. Sat May 27 16:40:22 2023
  129. Sat May 27 16:40:22 2023
  130. Sat May 27 16:40:22 2023 Msieve v. 1.54 (SVN Unversioned directory)
  131. Sat May 27 16:40:22 2023 random seeds: f79da76a 8dab5c11
  132. Sat May 27 16:40:22 2023 factoring 22188993743192961178676805465380743811299482686711711321846493458572740483200436051615169659590579701949532898985260524898278810463112498735966551001775270253934860064389488112216210284237136543 (194 digits)
  133. Sat May 27 16:40:23 2023 no P-1/P+1/ECM available, skipping
  134. Sat May 27 16:40:23 2023 commencing number field sieve (194-digit input)
  135. Sat May 27 16:40:23 2023 R0: 21486482876493613864830890078644584529
  136. Sat May 27 16:40:23 2023 R1: -1
  137. Sat May 27 16:40:23 2023 A0: -1
  138. Sat May 27 16:40:23 2023 A1: 0
  139. Sat May 27 16:40:23 2023 A2: 0
  140. Sat May 27 16:40:23 2023 A3: 0
  141. Sat May 27 16:40:23 2023 A4: 0
  142. Sat May 27 16:40:23 2023 A5: 0
  143. Sat May 27 16:40:23 2023 A6: 1667353
  144. Sat May 27 16:40:23 2023 skew 0.12, size 5.677e-12, alpha 1.494, combined = 4.390e-13 rroots = 2
  145. Sat May 27 16:40:23 2023
  146. Sat May 27 16:40:23 2023 commencing linear algebra
  147. Sat May 27 16:40:23 2023 using VBITS=256
  148. Sat May 27 16:40:24 2023 read 10082481 cycles
  149. Sat May 27 16:40:40 2023 cycles contain 32624326 unique relations
  150. Sat May 27 16:43:18 2023 read 32624326 relations
  151. Sat May 27 16:44:05 2023 using 20 quadratic characters above 4294917295
  152. Sat May 27 16:46:18 2023 building initial matrix
  153. Sat May 27 16:52:25 2023 memory use: 4061.4 MB
  154. Sat May 27 16:52:29 2023 read 10082481 cycles
  155. Sat May 27 16:52:30 2023 matrix is 10082317 x 10082481 (4346.1 MB) with weight 1252581563 (124.23/col)
  156. Sat May 27 16:52:30 2023 sparse part has weight 1038476615 (103.00/col)
  157. Sat May 27 16:53:37 2023 filtering completed in 1 passes
  158. Sat May 27 16:53:38 2023 matrix is 10082317 x 10082481 (4346.1 MB) with weight 1252581563 (124.23/col)
  159. Sat May 27 16:53:38 2023 sparse part has weight 1038476615 (103.00/col)
  160. Sat May 27 16:54:01 2023 matrix starts at (0, 0)
  161. Sat May 27 16:54:02 2023 matrix is 10082317 x 10082481 (4346.1 MB) with weight 1252581563 (124.23/col)
  162. Sat May 27 16:54:02 2023 sparse part has weight 1038476615 (103.00/col)
  163. Sat May 27 16:54:02 2023 saving the first 240 matrix rows for later
  164. Sat May 27 16:54:04 2023 matrix includes 256 packed rows
  165. Sat May 27 16:54:08 2023 matrix is 10082077 x 10082481 (4046.6 MB) with weight 946236289 (93.85/col)
  166. Sat May 27 16:54:08 2023 sparse part has weight 899470404 (89.21/col)
  167. Sat May 27 16:54:08 2023 using GPU 0 (NVIDIA GeForce RTX 3060)
  168. Sat May 27 16:54:08 2023 selected card has CUDA arch 8.6
  169. Sat May 27 16:55:09 2023 commencing Lanczos iteration
  170. Sat May 27 16:55:10 2023 memory use: 9554.7 MB
  171. Sat May 27 16:55:29 2023 linear algebra at 0.1%, ETA 6h56m
  172. Sat May 27 16:55:30 2023 checkpointing every 1430000 dimensions
  173. Sat May 27 23:39:11 2023 lanczos halted after 39502 iterations (dim = 10082075)
  174. Sat May 27 23:40:07 2023 recovered 35 nontrivial dependencies
  175. Sat May 27 23:40:07 2023 BLanczosTime: 25184
  176. Sat May 27 23:40:07 2023
  177. Sat May 27 23:40:07 2023 commencing square root phase
  178. Sat May 27 23:40:07 2023 handling dependencies 1 to 64
  179. Sat May 27 23:40:07 2023 reading relations for dependency 1
  180. Sat May 27 23:40:16 2023 read 5041725 cycles
  181. Sat May 27 23:40:25 2023 cycles contain 16311422 unique relations
  182. Sat May 27 23:41:48 2023 read 16311422 relations
  183. Sat May 27 23:42:53 2023 multiplying 16311422 relations
  184. Sat May 27 23:59:20 2023 multiply complete, coefficients have about 714.12 million bits
  185. Sat May 27 23:59:21 2023 initial square root is modulo 2551033
  186. Sun May 28 00:17:11 2023 found factor: 7808107132770827095924451079491689313790612487511954751149249354527130117443
  187. Sun May 28 00:17:11 2023 reading relations for dependency 2
  188. Sun May 28 00:17:12 2023 read 5040512 cycles
  189. Sun May 28 00:17:20 2023 cycles contain 16308254 unique relations
  190. Sun May 28 00:18:42 2023 read 16308254 relations
  191. Sun May 28 00:19:40 2023 multiplying 16308254 relations
  192. Sun May 28 00:36:06 2023 multiply complete, coefficients have about 713.97 million bits
  193. Sun May 28 00:36:08 2023 initial square root is modulo 2543509
  194. Sun May 28 00:53:55 2023 sqrtTime: 4428
  195. Sun May 28 00:53:55 2023 p55 factor: 3949492030513873454224838405973215401363812024198226703
  196. Sun May 28 00:53:55 2023 p63 factor: 719532810360399538420741440176717687699583405007680023414078267
  197. Sun May 28 00:53:55 2023 p76 factor: 7808107132770827095924451079491689313790612487511954751149249354527130117443
  198. Sun May 28 00:53:55 2023 elapsed time 08:13:33
  199.  
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