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gchilders

673__083_5m1

gchilders
Jan 5th, 2022
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  1. Wed Jan 5 02:26:56 2022
  2. Wed Jan 5 02:26:56 2022
  3. Wed Jan 5 02:26:56 2022 Msieve v. 1.54 (SVN unknown)
  4. Wed Jan 5 02:26:56 2022 random seeds: 88882596 0c370565
  5. Wed Jan 5 02:26:56 2022 factoring 288952670298614213271198919402258925706289186339358307014609400739101783253803089517091286995779977348025506451212797371629525410286497800490254158032743678528743078709102793770219804855794525353728686134948261714744763311 (222 digits)
  6. Wed Jan 5 02:26:57 2022 no P-1/P+1/ECM available, skipping
  7. Wed Jan 5 02:26:57 2022 commencing number field sieve (222-digit input)
  8. Wed Jan 5 02:26:57 2022 R0: 67300960941973270216603743178608534313917950387824769083
  9. Wed Jan 5 02:26:57 2022 R1: -1
  10. Wed Jan 5 02:26:57 2022 A0: 1
  11. Wed Jan 5 02:26:57 2022 A1: 1
  12. Wed Jan 5 02:26:57 2022 A2: 1
  13. Wed Jan 5 02:26:57 2022 A3: 1
  14. Wed Jan 5 02:26:57 2022 A4: 1
  15. Wed Jan 5 02:26:57 2022 skew 1.00, size 9.546e-23, alpha 1.694, combined = 1.458e-13 rroots = 0
  16. Wed Jan 5 02:26:57 2022
  17. Wed Jan 5 02:26:57 2022 commencing relation filtering
  18. Wed Jan 5 02:26:57 2022 setting target matrix density to 110.0
  19. Wed Jan 5 02:26:57 2022 estimated available RAM is 515600.8 MB
  20. Wed Jan 5 02:26:57 2022 commencing duplicate removal, pass 1
  21. Wed Jan 5 02:41:22 2022 skipped 1813 relations with b > 2^32
  22. Wed Jan 5 02:41:22 2022 skipped 79 relations with composite factors
  23. Wed Jan 5 02:41:22 2022 found 7534633 hash collisions in 184968357 relations
  24. Wed Jan 5 02:41:27 2022 added 3657741 free relations
  25. Wed Jan 5 02:41:27 2022 commencing duplicate removal, pass 2
  26. Wed Jan 5 02:42:04 2022 found 0 duplicates and 188626098 unique relations
  27. Wed Jan 5 02:42:04 2022 memory use: 522.4 MB
  28. Wed Jan 5 02:42:04 2022 reading ideals above 720000
  29. Wed Jan 5 02:42:04 2022 commencing singleton removal, initial pass
  30. Wed Jan 5 02:57:50 2022 memory use: 5512.0 MB
  31. Wed Jan 5 02:57:50 2022 reading all ideals from disk
  32. Wed Jan 5 02:57:51 2022 memory use: 7507.1 MB
  33. Wed Jan 5 02:57:58 2022 keeping 170189722 ideals with weight <= 200, target excess is 971819
  34. Wed Jan 5 02:58:08 2022 commencing in-memory singleton removal
  35. Wed Jan 5 02:58:13 2022 begin with 188626098 relations and 170189722 unique ideals
  36. Wed Jan 5 02:59:15 2022 reduce to 123220755 relations and 98030352 ideals in 14 passes
  37. Wed Jan 5 02:59:15 2022 max relations containing the same ideal: 159
  38. Wed Jan 5 02:59:42 2022 removing 10378707 relations and 8378707 ideals in 2000000 cliques
  39. Wed Jan 5 02:59:45 2022 commencing in-memory singleton removal
  40. Wed Jan 5 02:59:48 2022 begin with 112842048 relations and 98030352 unique ideals
  41. Wed Jan 5 03:00:18 2022 reduce to 112161317 relations and 88956410 ideals in 8 passes
  42. Wed Jan 5 03:00:18 2022 max relations containing the same ideal: 150
  43. Wed Jan 5 03:00:42 2022 removing 7934356 relations and 5934356 ideals in 2000000 cliques
  44. Wed Jan 5 03:00:45 2022 commencing in-memory singleton removal
  45. Wed Jan 5 03:00:48 2022 begin with 104226961 relations and 88956410 unique ideals
  46. Wed Jan 5 03:01:13 2022 reduce to 103765074 relations and 82551479 ideals in 7 passes
  47. Wed Jan 5 03:01:13 2022 max relations containing the same ideal: 143
  48. Wed Jan 5 03:01:35 2022 removing 7218740 relations and 5218740 ideals in 2000000 cliques
  49. Wed Jan 5 03:01:38 2022 commencing in-memory singleton removal
  50. Wed Jan 5 03:01:40 2022 begin with 96546334 relations and 82551479 unique ideals
  51. Wed Jan 5 03:02:03 2022 reduce to 96136592 relations and 76915409 ideals in 7 passes
  52. Wed Jan 5 03:02:03 2022 max relations containing the same ideal: 138
  53. Wed Jan 5 03:02:24 2022 removing 6865524 relations and 4865524 ideals in 2000000 cliques
  54. Wed Jan 5 03:02:27 2022 commencing in-memory singleton removal
  55. Wed Jan 5 03:02:29 2022 begin with 89271068 relations and 76915409 unique ideals
  56. Wed Jan 5 03:02:49 2022 reduce to 88879768 relations and 71650991 ideals in 7 passes
  57. Wed Jan 5 03:02:49 2022 max relations containing the same ideal: 133
  58. Wed Jan 5 03:03:10 2022 removing 6656165 relations and 4656165 ideals in 2000000 cliques
  59. Wed Jan 5 03:03:12 2022 commencing in-memory singleton removal
  60. Wed Jan 5 03:03:14 2022 begin with 82223603 relations and 71650991 unique ideals
  61. Wed Jan 5 03:03:36 2022 reduce to 81830621 relations and 66593715 ideals in 8 passes
  62. Wed Jan 5 03:03:36 2022 max relations containing the same ideal: 128
  63. Wed Jan 5 03:03:55 2022 removing 6529376 relations and 4529376 ideals in 2000000 cliques
  64. Wed Jan 5 03:03:57 2022 commencing in-memory singleton removal
  65. Wed Jan 5 03:03:59 2022 begin with 75301245 relations and 66593715 unique ideals
  66. Wed Jan 5 03:04:17 2022 reduce to 74897323 relations and 61651282 ideals in 7 passes
  67. Wed Jan 5 03:04:17 2022 max relations containing the same ideal: 119
  68. Wed Jan 5 03:04:34 2022 removing 6458538 relations and 4458538 ideals in 2000000 cliques
  69. Wed Jan 5 03:04:36 2022 commencing in-memory singleton removal
  70. Wed Jan 5 03:04:38 2022 begin with 68438785 relations and 61651282 unique ideals
  71. Wed Jan 5 03:04:54 2022 reduce to 68009123 relations and 56752776 ideals in 7 passes
  72. Wed Jan 5 03:04:54 2022 max relations containing the same ideal: 111
  73. Wed Jan 5 03:05:10 2022 removing 6427327 relations and 4427327 ideals in 2000000 cliques
  74. Wed Jan 5 03:05:12 2022 commencing in-memory singleton removal
  75. Wed Jan 5 03:05:14 2022 begin with 61581796 relations and 56752776 unique ideals
  76. Wed Jan 5 03:05:30 2022 reduce to 61112813 relations and 51843977 ideals in 8 passes
  77. Wed Jan 5 03:05:30 2022 max relations containing the same ideal: 101
  78. Wed Jan 5 03:05:44 2022 removing 6445233 relations and 4445233 ideals in 2000000 cliques
  79. Wed Jan 5 03:05:46 2022 commencing in-memory singleton removal
  80. Wed Jan 5 03:05:47 2022 begin with 54667580 relations and 51843977 unique ideals
  81. Wed Jan 5 03:05:59 2022 reduce to 54143344 relations and 46859525 ideals in 7 passes
  82. Wed Jan 5 03:05:59 2022 max relations containing the same ideal: 93
  83. Wed Jan 5 03:06:13 2022 removing 6495890 relations and 4495890 ideals in 2000000 cliques
  84. Wed Jan 5 03:06:14 2022 commencing in-memory singleton removal
  85. Wed Jan 5 03:06:16 2022 begin with 47647454 relations and 46859525 unique ideals
  86. Wed Jan 5 03:06:28 2022 reduce to 47041188 relations and 41737931 ideals in 8 passes
  87. Wed Jan 5 03:06:28 2022 max relations containing the same ideal: 85
  88. Wed Jan 5 03:06:39 2022 removing 6598302 relations and 4598302 ideals in 2000000 cliques
  89. Wed Jan 5 03:06:41 2022 commencing in-memory singleton removal
  90. Wed Jan 5 03:06:42 2022 begin with 40442886 relations and 41737931 unique ideals
  91. Wed Jan 5 03:06:53 2022 reduce to 39710372 relations and 36380021 ideals in 9 passes
  92. Wed Jan 5 03:06:53 2022 max relations containing the same ideal: 74
  93. Wed Jan 5 03:07:03 2022 removing 6748227 relations and 4748227 ideals in 2000000 cliques
  94. Wed Jan 5 03:07:05 2022 commencing in-memory singleton removal
  95. Wed Jan 5 03:07:06 2022 begin with 32962145 relations and 36380021 unique ideals
  96. Wed Jan 5 03:07:16 2022 reduce to 32028739 relations and 30656996 ideals in 10 passes
  97. Wed Jan 5 03:07:16 2022 max relations containing the same ideal: 69
  98. Wed Jan 5 03:07:24 2022 removing 1344881 relations and 1100449 ideals in 244432 cliques
  99. Wed Jan 5 03:07:25 2022 commencing in-memory singleton removal
  100. Wed Jan 5 03:07:26 2022 begin with 30683858 relations and 30656996 unique ideals
  101. Wed Jan 5 03:07:32 2022 reduce to 30642445 relations and 29514789 ideals in 6 passes
  102. Wed Jan 5 03:07:32 2022 max relations containing the same ideal: 69
  103. Wed Jan 5 03:07:43 2022 relations with 0 large ideals: 74275
  104. Wed Jan 5 03:07:43 2022 relations with 1 large ideals: 18269
  105. Wed Jan 5 03:07:43 2022 relations with 2 large ideals: 212495
  106. Wed Jan 5 03:07:43 2022 relations with 3 large ideals: 1244198
  107. Wed Jan 5 03:07:43 2022 relations with 4 large ideals: 3974626
  108. Wed Jan 5 03:07:43 2022 relations with 5 large ideals: 8368244
  109. Wed Jan 5 03:07:43 2022 relations with 6 large ideals: 8086216
  110. Wed Jan 5 03:07:43 2022 relations with 7+ large ideals: 8664122
  111. Wed Jan 5 03:07:43 2022 commencing 2-way merge
  112. Wed Jan 5 03:07:54 2022 reduce to 19562110 relation sets and 18434454 unique ideals
  113. Wed Jan 5 03:07:54 2022 commencing full merge
  114. Wed Jan 5 03:12:19 2022 memory use: 2316.4 MB
  115. Wed Jan 5 03:12:21 2022 found 8807286 cycles, need 8738654
  116. Wed Jan 5 03:12:22 2022 weight of 8738654 cycles is about 961766530 (110.06/cycle)
  117. Wed Jan 5 03:12:22 2022 distribution of cycle lengths:
  118. Wed Jan 5 03:12:22 2022 1 relations: 599379
  119. Wed Jan 5 03:12:22 2022 2 relations: 597173
  120. Wed Jan 5 03:12:22 2022 3 relations: 599595
  121. Wed Jan 5 03:12:22 2022 4 relations: 599982
  122. Wed Jan 5 03:12:22 2022 5 relations: 601187
  123. Wed Jan 5 03:12:22 2022 6 relations: 592524
  124. Wed Jan 5 03:12:22 2022 7 relations: 578965
  125. Wed Jan 5 03:12:22 2022 8 relations: 555385
  126. Wed Jan 5 03:12:22 2022 9 relations: 525152
  127. Wed Jan 5 03:12:22 2022 10+ relations: 3489312
  128. Wed Jan 5 03:12:22 2022 heaviest cycle: 28 relations
  129. Wed Jan 5 03:12:24 2022 commencing cycle optimization
  130. Wed Jan 5 03:12:36 2022 start with 76702705 relations
  131. Wed Jan 5 03:14:27 2022 pruned 3501612 relations
  132. Wed Jan 5 03:14:27 2022 memory use: 2036.6 MB
  133. Wed Jan 5 03:14:27 2022 distribution of cycle lengths:
  134. Wed Jan 5 03:14:27 2022 1 relations: 599379
  135. Wed Jan 5 03:14:27 2022 2 relations: 608743
  136. Wed Jan 5 03:14:27 2022 3 relations: 623093
  137. Wed Jan 5 03:14:27 2022 4 relations: 623649
  138. Wed Jan 5 03:14:27 2022 5 relations: 631460
  139. Wed Jan 5 03:14:27 2022 6 relations: 621277
  140. Wed Jan 5 03:14:27 2022 7 relations: 610036
  141. Wed Jan 5 03:14:27 2022 8 relations: 583750
  142. Wed Jan 5 03:14:27 2022 9 relations: 551299
  143. Wed Jan 5 03:14:27 2022 10+ relations: 3285968
  144. Wed Jan 5 03:14:27 2022 heaviest cycle: 28 relations
  145. Wed Jan 5 03:14:35 2022 RelProcTime: 2858
  146. Wed Jan 5 03:14:36 2022 elapsed time 00:47:40
  147. Wed Jan 5 04:46:04 2022
  148. Wed Jan 5 04:46:04 2022
  149. Wed Jan 5 04:46:04 2022 Msieve v. 1.54 (SVN unknown)
  150. Wed Jan 5 04:46:04 2022 random seeds: 2c3aafac 07587371
  151. Wed Jan 5 04:46:04 2022 factoring 288952670298614213271198919402258925706289186339358307014609400739101783253803089517091286995779977348025506451212797371629525410286497800490254158032743678528743078709102793770219804855794525353728686134948261714744763311 (222 digits)
  152. Wed Jan 5 04:46:05 2022 no P-1/P+1/ECM available, skipping
  153. Wed Jan 5 04:46:05 2022 commencing number field sieve (222-digit input)
  154. Wed Jan 5 04:46:05 2022 R0: 67300960941973270216603743178608534313917950387824769083
  155. Wed Jan 5 04:46:05 2022 R1: -1
  156. Wed Jan 5 04:46:05 2022 A0: 1
  157. Wed Jan 5 04:46:05 2022 A1: 1
  158. Wed Jan 5 04:46:05 2022 A2: 1
  159. Wed Jan 5 04:46:05 2022 A3: 1
  160. Wed Jan 5 04:46:05 2022 A4: 1
  161. Wed Jan 5 04:46:05 2022 skew 1.00, size 9.546e-23, alpha 1.694, combined = 1.458e-13 rroots = 0
  162. Wed Jan 5 04:46:05 2022
  163. Wed Jan 5 04:46:05 2022 commencing linear algebra
  164. Wed Jan 5 04:46:05 2022 using VBITS=384
  165. Wed Jan 5 04:46:06 2022 read 8738654 cycles
  166. Wed Jan 5 04:46:17 2022 cycles contain 29991921 unique relations
  167. Wed Jan 5 04:48:01 2022 read 29991921 relations
  168. Wed Jan 5 04:48:36 2022 using 20 quadratic characters above 4294917295
  169. Wed Jan 5 04:49:58 2022 building initial matrix
  170. Wed Jan 5 04:53:52 2022 memory use: 3691.8 MB
  171. Wed Jan 5 04:53:55 2022 read 8738654 cycles
  172. Wed Jan 5 04:53:56 2022 matrix is 8738477 x 8738654 (3811.4 MB) with weight 1092828894 (125.06/col)
  173. Wed Jan 5 04:53:56 2022 sparse part has weight 903001109 (103.33/col)
  174. Wed Jan 5 04:54:52 2022 filtering completed in 2 passes
  175. Wed Jan 5 04:54:53 2022 matrix is 8737896 x 8738042 (3811.3 MB) with weight 1092808160 (125.06/col)
  176. Wed Jan 5 04:54:53 2022 sparse part has weight 902993615 (103.34/col)
  177. Wed Jan 5 04:55:35 2022 matrix starts at (0, 0)
  178. Wed Jan 5 04:55:36 2022 matrix is 8737896 x 8738042 (3811.3 MB) with weight 1092808160 (125.06/col)
  179. Wed Jan 5 04:55:36 2022 sparse part has weight 902993615 (103.34/col)
  180. Wed Jan 5 04:55:36 2022 saving the first 368 matrix rows for later
  181. Wed Jan 5 04:55:37 2022 matrix includes 384 packed rows
  182. Wed Jan 5 04:55:40 2022 matrix is 8737528 x 8738042 (3555.7 MB) with weight 798380247 (91.37/col)
  183. Wed Jan 5 04:55:40 2022 sparse part has weight 757346742 (86.67/col)
  184. Wed Jan 5 04:55:40 2022 using GPU 0 (Tesla V100-PCIE-32GB)
  185. Wed Jan 5 04:55:40 2022 selected card has CUDA arch 7.0
  186. Wed Jan 5 04:56:11 2022 commencing Lanczos iteration
  187. Wed Jan 5 04:56:11 2022 memory use: 9044.7 MB
  188. Wed Jan 5 04:56:15 2022 linear algebra at 0.0%, ETA 3h10m
  189. Wed Jan 5 04:56:17 2022 checkpointing every 3040000 dimensions
  190. Wed Jan 5 07:44:49 2022 lanczos halted after 22800 iterations (dim = 8737525)
  191. Wed Jan 5 07:45:43 2022 recovered 34 nontrivial dependencies
  192. Wed Jan 5 07:45:44 2022 BLanczosTime: 10779
  193. Wed Jan 5 07:45:44 2022
  194. Wed Jan 5 07:45:44 2022 commencing square root phase
  195. Wed Jan 5 07:45:44 2022 reading relations for dependency 1
  196. Wed Jan 5 07:45:44 2022 read 4371681 cycles
  197. Wed Jan 5 07:45:50 2022 cycles contain 14998880 unique relations
  198. Wed Jan 5 07:46:47 2022 read 14998880 relations
  199. Wed Jan 5 07:47:27 2022 multiplying 14998880 relations
  200. Wed Jan 5 07:50:34 2022 multiply complete, coefficients have about 392.50 million bits
  201. Wed Jan 5 07:50:34 2022 initial square root is modulo 11033467
  202. Wed Jan 5 07:54:36 2022 GCD is 1, no factor found
  203. Wed Jan 5 07:54:36 2022 reading relations for dependency 2
  204. Wed Jan 5 07:54:37 2022 read 4367900 cycles
  205. Wed Jan 5 07:54:43 2022 cycles contain 14994514 unique relations
  206. Wed Jan 5 07:55:35 2022 read 14994514 relations
  207. Wed Jan 5 07:56:15 2022 multiplying 14994514 relations
  208. Wed Jan 5 07:59:23 2022 multiply complete, coefficients have about 392.39 million bits
  209. Wed Jan 5 07:59:23 2022 initial square root is modulo 10982717
  210. Wed Jan 5 08:03:26 2022 sqrtTime: 1062
  211. Wed Jan 5 08:03:26 2022 p77 factor: 15749959483681903705619194621763084916407024844749403351026146211464796281301
  212. Wed Jan 5 08:03:26 2022 p146 factor: 18346248483876422835990927070596621765988581098032018292576569518487094433893253901443199917748030611148525534904378323556006023415937028905969011
  213. Wed Jan 5 08:03:26 2022 elapsed time 03:17:22
  214.  
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