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gchilders

C233_146_112

gchilders
Dec 30th, 2021
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  1. Wed Dec 29 02:34:34 2021
  2. Wed Dec 29 02:34:34 2021
  3. Wed Dec 29 02:34:34 2021 Msieve v. 1.54 (SVN unknown)
  4. Wed Dec 29 02:34:34 2021 random seeds: d15baa34 3257c126
  5. Wed Dec 29 02:34:34 2021 factoring 16984508117823427310621923675160679641235652649206694245726594672585627059310306808004459525481867152381988476757995127715163117139676407725704471541371722516646890394023743309370724488177242794749964367637069890096446764533332793173 (233 digits)
  6. Wed Dec 29 02:34:35 2021 no P-1/P+1/ECM available, skipping
  7. Wed Dec 29 02:34:35 2021 commencing number field sieve (233-digit input)
  8. Wed Dec 29 02:34:35 2021 R0: -82426820865386399639786808294030442496
  9. Wed Dec 29 02:34:35 2021 R1: 650377879817809571042122834561
  10. Wed Dec 29 02:34:35 2021 A0: 7
  11. Wed Dec 29 02:34:35 2021 A1: 0
  12. Wed Dec 29 02:34:35 2021 A2: 0
  13. Wed Dec 29 02:34:35 2021 A3: 0
  14. Wed Dec 29 02:34:35 2021 A4: 0
  15. Wed Dec 29 02:34:35 2021 A5: 0
  16. Wed Dec 29 02:34:35 2021 A6: 0
  17. Wed Dec 29 02:34:35 2021 A7: 8
  18. Wed Dec 29 02:34:35 2021 skew 0.98, size 6.979e-10, alpha 0.669, combined = 3.189e-14 rroots = 1
  19. Wed Dec 29 02:34:35 2021
  20. Wed Dec 29 02:34:35 2021 commencing relation filtering
  21. Wed Dec 29 02:34:35 2021 setting target matrix density to 120.0
  22. Wed Dec 29 02:34:35 2021 estimated available RAM is 515600.8 MB
  23. Wed Dec 29 02:34:35 2021 commencing duplicate removal, pass 1
  24. Wed Dec 29 03:02:27 2021 skipped 1360 relations with b > 2^32
  25. Wed Dec 29 03:02:27 2021 skipped 95 relations with composite factors
  26. Wed Dec 29 03:02:27 2021 found 24295351 hash collisions in 340006105 relations
  27. Wed Dec 29 03:02:55 2021 added 348520 free relations
  28. Wed Dec 29 03:02:55 2021 commencing duplicate removal, pass 2
  29. Wed Dec 29 03:04:13 2021 found 0 duplicates and 340354625 unique relations
  30. Wed Dec 29 03:04:13 2021 memory use: 1257.5 MB
  31. Wed Dec 29 03:04:13 2021 reading ideals above 720000
  32. Wed Dec 29 03:04:13 2021 commencing singleton removal, initial pass
  33. Wed Dec 29 03:35:54 2021 memory use: 11024.0 MB
  34. Wed Dec 29 03:35:54 2021 reading all ideals from disk
  35. Wed Dec 29 03:35:57 2021 memory use: 14410.4 MB
  36. Wed Dec 29 03:36:09 2021 keeping 335901044 ideals with weight <= 200, target excess is 1725288
  37. Wed Dec 29 03:36:30 2021 commencing in-memory singleton removal
  38. Wed Dec 29 03:36:40 2021 begin with 340354625 relations and 335901044 unique ideals
  39. Wed Dec 29 03:38:53 2021 reduce to 200242371 relations and 179799824 ideals in 18 passes
  40. Wed Dec 29 03:38:53 2021 max relations containing the same ideal: 149
  41. Wed Dec 29 03:39:41 2021 removing 15559857 relations and 13559857 ideals in 2000000 cliques
  42. Wed Dec 29 03:39:46 2021 commencing in-memory singleton removal
  43. Wed Dec 29 03:39:52 2021 begin with 184682514 relations and 179799824 unique ideals
  44. Wed Dec 29 03:40:55 2021 reduce to 183648519 relations and 165191491 ideals in 10 passes
  45. Wed Dec 29 03:40:55 2021 max relations containing the same ideal: 142
  46. Wed Dec 29 03:41:39 2021 removing 11710061 relations and 9710061 ideals in 2000000 cliques
  47. Wed Dec 29 03:41:43 2021 commencing in-memory singleton removal
  48. Wed Dec 29 03:41:48 2021 begin with 171938458 relations and 165191491 unique ideals
  49. Wed Dec 29 03:42:47 2021 reduce to 171281920 relations and 154817110 ideals in 10 passes
  50. Wed Dec 29 03:42:47 2021 max relations containing the same ideal: 136
  51. Wed Dec 29 03:43:29 2021 removing 10536331 relations and 8536331 ideals in 2000000 cliques
  52. Wed Dec 29 03:43:33 2021 commencing in-memory singleton removal
  53. Wed Dec 29 03:43:37 2021 begin with 160745589 relations and 154817110 unique ideals
  54. Wed Dec 29 03:44:26 2021 reduce to 160173211 relations and 145701747 ideals in 9 passes
  55. Wed Dec 29 03:44:26 2021 max relations containing the same ideal: 131
  56. Wed Dec 29 03:45:06 2021 removing 9931724 relations and 7931724 ideals in 2000000 cliques
  57. Wed Dec 29 03:45:09 2021 commencing in-memory singleton removal
  58. Wed Dec 29 03:45:14 2021 begin with 150241487 relations and 145701747 unique ideals
  59. Wed Dec 29 03:46:04 2021 reduce to 149698457 relations and 137220527 ideals in 10 passes
  60. Wed Dec 29 03:46:04 2021 max relations containing the same ideal: 124
  61. Wed Dec 29 03:46:41 2021 removing 9567971 relations and 7567971 ideals in 2000000 cliques
  62. Wed Dec 29 03:46:45 2021 commencing in-memory singleton removal
  63. Wed Dec 29 03:46:49 2021 begin with 140130486 relations and 137220527 unique ideals
  64. Wed Dec 29 03:47:31 2021 reduce to 139590822 relations and 129106207 ideals in 9 passes
  65. Wed Dec 29 03:47:31 2021 max relations containing the same ideal: 118
  66. Wed Dec 29 03:48:06 2021 removing 9342948 relations and 7342948 ideals in 2000000 cliques
  67. Wed Dec 29 03:48:10 2021 commencing in-memory singleton removal
  68. Wed Dec 29 03:48:13 2021 begin with 130247874 relations and 129106207 unique ideals
  69. Wed Dec 29 03:48:49 2021 reduce to 129697355 relations and 121205600 ideals in 8 passes
  70. Wed Dec 29 03:48:49 2021 max relations containing the same ideal: 112
  71. Wed Dec 29 03:49:21 2021 removing 9212075 relations and 7212075 ideals in 2000000 cliques
  72. Wed Dec 29 03:49:24 2021 commencing in-memory singleton removal
  73. Wed Dec 29 03:49:28 2021 begin with 120485280 relations and 121205600 unique ideals
  74. Wed Dec 29 03:50:04 2021 reduce to 119908087 relations and 113408408 ideals in 9 passes
  75. Wed Dec 29 03:50:04 2021 max relations containing the same ideal: 109
  76. Wed Dec 29 03:50:35 2021 removing 9150342 relations and 7150342 ideals in 2000000 cliques
  77. Wed Dec 29 03:50:38 2021 commencing in-memory singleton removal
  78. Wed Dec 29 03:50:41 2021 begin with 110757745 relations and 113408408 unique ideals
  79. Wed Dec 29 03:51:11 2021 reduce to 110139748 relations and 105631087 ideals in 8 passes
  80. Wed Dec 29 03:51:11 2021 max relations containing the same ideal: 102
  81. Wed Dec 29 03:51:39 2021 removing 9154750 relations and 7154750 ideals in 2000000 cliques
  82. Wed Dec 29 03:51:42 2021 commencing in-memory singleton removal
  83. Wed Dec 29 03:51:45 2021 begin with 100984998 relations and 105631087 unique ideals
  84. Wed Dec 29 03:52:16 2021 reduce to 100309152 relations and 97789671 ideals in 9 passes
  85. Wed Dec 29 03:52:16 2021 max relations containing the same ideal: 97
  86. Wed Dec 29 03:52:42 2021 removing 3120482 relations and 2602336 ideals in 518146 cliques
  87. Wed Dec 29 03:52:44 2021 commencing in-memory singleton removal
  88. Wed Dec 29 03:52:46 2021 begin with 97188670 relations and 97789671 unique ideals
  89. Wed Dec 29 03:53:09 2021 reduce to 97113079 relations and 95111388 ideals in 7 passes
  90. Wed Dec 29 03:53:09 2021 max relations containing the same ideal: 97
  91. Wed Dec 29 03:53:45 2021 relations with 0 large ideals: 18853
  92. Wed Dec 29 03:53:45 2021 relations with 1 large ideals: 29627
  93. Wed Dec 29 03:53:45 2021 relations with 2 large ideals: 423560
  94. Wed Dec 29 03:53:45 2021 relations with 3 large ideals: 2667200
  95. Wed Dec 29 03:53:45 2021 relations with 4 large ideals: 9235170
  96. Wed Dec 29 03:53:45 2021 relations with 5 large ideals: 19425385
  97. Wed Dec 29 03:53:45 2021 relations with 6 large ideals: 25912689
  98. Wed Dec 29 03:53:45 2021 relations with 7+ large ideals: 39400595
  99. Wed Dec 29 03:53:45 2021 commencing 2-way merge
  100. Wed Dec 29 03:54:20 2021 reduce to 60931141 relation sets and 58929450 unique ideals
  101. Wed Dec 29 03:54:20 2021 commencing full merge
  102. Wed Dec 29 04:09:06 2021 memory use: 7157.2 MB
  103. Wed Dec 29 04:09:10 2021 found 26876919 cycles, need 26789650
  104. Wed Dec 29 04:09:16 2021 weight of 26789650 cycles is about 3215492332 (120.03/cycle)
  105. Wed Dec 29 04:09:16 2021 distribution of cycle lengths:
  106. Wed Dec 29 04:09:16 2021 1 relations: 2121141
  107. Wed Dec 29 04:09:16 2021 2 relations: 2058706
  108. Wed Dec 29 04:09:16 2021 3 relations: 2078781
  109. Wed Dec 29 04:09:16 2021 4 relations: 1987287
  110. Wed Dec 29 04:09:16 2021 5 relations: 1921640
  111. Wed Dec 29 04:09:16 2021 6 relations: 1833428
  112. Wed Dec 29 04:09:16 2021 7 relations: 1712214
  113. Wed Dec 29 04:09:16 2021 8 relations: 1621052
  114. Wed Dec 29 04:09:16 2021 9 relations: 1508508
  115. Wed Dec 29 04:09:16 2021 10+ relations: 9946893
  116. Wed Dec 29 04:09:16 2021 heaviest cycle: 28 relations
  117. Wed Dec 29 04:09:21 2021 commencing cycle optimization
  118. Wed Dec 29 04:09:59 2021 start with 225364008 relations
  119. Wed Dec 29 04:15:08 2021 pruned 8591502 relations
  120. Wed Dec 29 04:15:08 2021 memory use: 6282.5 MB
  121. Wed Dec 29 04:15:08 2021 distribution of cycle lengths:
  122. Wed Dec 29 04:15:08 2021 1 relations: 2121141
  123. Wed Dec 29 04:15:08 2021 2 relations: 2111599
  124. Wed Dec 29 04:15:08 2021 3 relations: 2163408
  125. Wed Dec 29 04:15:08 2021 4 relations: 2058888
  126. Wed Dec 29 04:15:08 2021 5 relations: 2000072
  127. Wed Dec 29 04:15:08 2021 6 relations: 1896765
  128. Wed Dec 29 04:15:08 2021 7 relations: 1776746
  129. Wed Dec 29 04:15:08 2021 8 relations: 1671037
  130. Wed Dec 29 04:15:08 2021 9 relations: 1551442
  131. Wed Dec 29 04:15:08 2021 10+ relations: 9438552
  132. Wed Dec 29 04:15:08 2021 heaviest cycle: 28 relations
  133. Wed Dec 29 04:15:44 2021 RelProcTime: 6069
  134. Wed Dec 29 04:15:45 2021
  135. Wed Dec 29 04:15:45 2021 commencing linear algebra
  136. Wed Dec 29 04:15:45 2021 using VBITS=384
  137. Wed Dec 29 04:15:46 2021 read 26789650 cycles
  138. Wed Dec 29 04:16:24 2021 cycles contain 95827962 unique relations
  139. Wed Dec 29 04:21:43 2021 read 95827962 relations
  140. Wed Dec 29 04:23:51 2021 using 20 quadratic characters above 4294917295
  141. Wed Dec 29 04:28:19 2021 building initial matrix
  142. Wed Dec 29 04:42:32 2021 memory use: 12661.1 MB
  143. Wed Dec 29 04:42:41 2021 read 26789650 cycles
  144. Wed Dec 29 04:42:44 2021 matrix is 26789470 x 26789650 (12635.4 MB) with weight 3628957509 (135.46/col)
  145. Wed Dec 29 04:42:44 2021 sparse part has weight 3017610846 (112.64/col)
  146. Wed Dec 29 04:45:47 2021 filtering completed in 2 passes
  147. Wed Dec 29 04:45:51 2021 matrix is 26787790 x 26787967 (12635.3 MB) with weight 3628898645 (135.47/col)
  148. Wed Dec 29 04:45:51 2021 sparse part has weight 3017591971 (112.65/col)
  149. Wed Dec 29 04:46:43 2021 matrix starts at (0, 0)
  150. Wed Dec 29 04:46:45 2021 matrix is 26787790 x 26787967 (12635.3 MB) with weight 3628898645 (135.47/col)
  151. Wed Dec 29 04:46:45 2021 sparse part has weight 3017591971 (112.65/col)
  152. Wed Dec 29 04:46:45 2021 saving the first 368 matrix rows for later
  153. Wed Dec 29 04:46:49 2021 matrix includes 384 packed rows
  154. Wed Dec 29 04:46:59 2021 matrix is 26787422 x 26787967 (11760.8 MB) with weight 2675201099 (99.87/col)
  155. Wed Dec 29 04:46:59 2021 sparse part has weight 2547253419 (95.09/col)
  156. Wed Dec 29 04:47:00 2021 using GPU 1 (Tesla V100-PCIE-32GB)
  157. Wed Dec 29 04:47:00 2021 selected card has CUDA arch 7.0
  158. Wed Dec 29 04:49:00 2021 commencing Lanczos iteration
  159. Wed Dec 29 04:49:01 2021 memory use: 29652.8 MB
  160. Wed Dec 29 04:49:12 2021 linear algebra at 0.0%, ETA 32h20m
  161. Wed Dec 29 04:49:20 2021 checkpointing every 850000 dimensions
  162. Thu Dec 30 00:37:11 2021 lanczos halted after 47847 iterations (dim = 18336509)
  163. Thu Dec 30 00:37:12 2021 BLanczosTime: 73287
  164. Thu Dec 30 02:00:17 2021
  165. Thu Dec 30 02:00:17 2021
  166. Thu Dec 30 02:00:17 2021 Msieve v. 1.54 (SVN unknown)
  167. Thu Dec 30 02:00:17 2021 random seeds: fd5788f8 9aeaec4e
  168. Thu Dec 30 02:00:17 2021 factoring 16984508117823427310621923675160679641235652649206694245726594672585627059310306808004459525481867152381988476757995127715163117139676407725704471541371722516646890394023743309370724488177242794749964367637069890096446764533332793173 (233 digits)
  169. Thu Dec 30 02:00:18 2021 no P-1/P+1/ECM available, skipping
  170. Thu Dec 30 02:00:18 2021 commencing number field sieve (233-digit input)
  171. Thu Dec 30 02:00:18 2021 R0: -82426820865386399639786808294030442496
  172. Thu Dec 30 02:00:18 2021 R1: 650377879817809571042122834561
  173. Thu Dec 30 02:00:18 2021 A0: 7
  174. Thu Dec 30 02:00:18 2021 A1: 0
  175. Thu Dec 30 02:00:18 2021 A2: 0
  176. Thu Dec 30 02:00:18 2021 A3: 0
  177. Thu Dec 30 02:00:18 2021 A4: 0
  178. Thu Dec 30 02:00:18 2021 A5: 0
  179. Thu Dec 30 02:00:18 2021 A6: 0
  180. Thu Dec 30 02:00:18 2021 A7: 8
  181. Thu Dec 30 02:00:18 2021 skew 0.98, size 6.979e-10, alpha 0.669, combined = 3.189e-14 rroots = 1
  182. Thu Dec 30 02:00:18 2021
  183. Thu Dec 30 02:00:18 2021 commencing linear algebra
  184. Thu Dec 30 02:00:18 2021 using VBITS=384
  185. Thu Dec 30 02:00:32 2021 matrix starts at (0, 0)
  186. Thu Dec 30 02:00:38 2021 matrix is 26787790 x 26787967 (12635.3 MB) with weight 3628898645 (135.47/col)
  187. Thu Dec 30 02:00:38 2021 sparse part has weight 3017591971 (112.65/col)
  188. Thu Dec 30 02:00:38 2021 saving the first 368 matrix rows for later
  189. Thu Dec 30 02:00:46 2021 matrix includes 384 packed rows
  190. Thu Dec 30 02:00:56 2021 matrix is 26787422 x 26787967 (11760.8 MB) with weight 2675201099 (99.87/col)
  191. Thu Dec 30 02:00:56 2021 sparse part has weight 2547253419 (95.09/col)
  192. Thu Dec 30 02:00:56 2021 using GPU 1 (Tesla V100-PCIE-32GB)
  193. Thu Dec 30 02:00:56 2021 selected card has CUDA arch 7.0
  194. Thu Dec 30 02:02:57 2021 commencing Lanczos iteration
  195. Thu Dec 30 02:02:59 2021 memory use: 29652.8 MB
  196. Thu Dec 30 02:03:08 2021 restarting at iteration 47847 (dim = 18336509)
  197. Thu Dec 30 02:03:17 2021 linear algebra at 68.5%, ETA 9h11m
  198. Thu Dec 30 02:03:23 2021 checkpointing every 920000 dimensions
  199. Thu Dec 30 11:10:41 2021 lanczos halted after 69900 iterations (dim = 26787418)
  200. Thu Dec 30 11:14:01 2021 recovered 35 nontrivial dependencies
  201. Thu Dec 30 11:14:02 2021 BLanczosTime: 33224
  202. Thu Dec 30 11:14:02 2021
  203. Thu Dec 30 11:14:02 2021 commencing square root phase
  204. Thu Dec 30 11:14:02 2021 reading relations for dependency 1
  205. Thu Dec 30 11:14:04 2021 read 13394454 cycles
  206. Thu Dec 30 11:14:24 2021 cycles contain 47912502 unique relations
  207. Thu Dec 30 11:17:15 2021 read 47912502 relations
  208. Thu Dec 30 11:19:47 2021 multiplying 47912502 relations
  209. Thu Dec 30 11:59:59 2021 multiply complete, coefficients have about 1395.81 million bits
  210. Thu Dec 30 12:00:03 2021 initial square root is modulo 1824859
  211. Thu Dec 30 12:38:57 2021 GCD is 1, no factor found
  212. Thu Dec 30 12:38:57 2021 reading relations for dependency 2
  213. Thu Dec 30 12:39:00 2021 read 13392621 cycles
  214. Thu Dec 30 12:39:19 2021 cycles contain 47905308 unique relations
  215. Thu Dec 30 12:42:10 2021 read 47905308 relations
  216. Thu Dec 30 12:44:41 2021 multiplying 47905308 relations
  217. Thu Dec 30 13:24:32 2021 multiply complete, coefficients have about 1395.62 million bits
  218. Thu Dec 30 13:24:36 2021 initial square root is modulo 1821233
  219. Thu Dec 30 14:03:42 2021 GCD is 1, no factor found
  220. Thu Dec 30 14:03:42 2021 reading relations for dependency 3
  221. Thu Dec 30 14:03:45 2021 read 13391668 cycles
  222. Thu Dec 30 14:04:04 2021 cycles contain 47904022 unique relations
  223. Thu Dec 30 14:06:55 2021 read 47904022 relations
  224. Thu Dec 30 14:09:23 2021 multiplying 47904022 relations
  225. Thu Dec 30 14:49:12 2021 multiply complete, coefficients have about 1395.57 million bits
  226. Thu Dec 30 14:49:16 2021 initial square root is modulo 1820407
  227. Thu Dec 30 15:28:20 2021 sqrtTime: 15258
  228. Thu Dec 30 15:28:20 2021 p93 factor: 290677771092074014663519058801498197973220613209155357464299087193815797055264038930789695217
  229. Thu Dec 30 15:28:20 2021 p140 factor: 58430708526533586900768074545194245894827833869411843256289808589342139595587502664283534625232878217880238724014666232589036900606566229669
  230. Thu Dec 30 15:28:20 2021 elapsed time 13:28:03
  231.  
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