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Apr 14th, 2023
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  1. Fri Apr 14 13:31:55 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Fri Apr 14 13:31:55 2023 random seeds: 27fce0a6 ce9c94e6
  3. Fri Apr 14 13:31:55 2023 Using 7 OpenMP threads
  4. Fri Apr 14 13:31:55 2023 factoring 56296697484206467037274011945248956008330441117727868936638191812211686187201389003736611121416618336576715426696605199949897762593060552508052557527854396011021760598126760783248322042016451483659548114903748227773223462007 (224 digits)
  5. Fri Apr 14 13:31:55 2023 no P-1/P+1/ECM available, skipping
  6. Fri Apr 14 13:31:55 2023 commencing number field sieve (224-digit input)
  7. Fri Apr 14 13:31:55 2023 R0: 2265330403358323328683573581022872956882
  8. Fri Apr 14 13:31:55 2023 R1: -47595487216314146359
  9. Fri Apr 14 13:31:55 2023 A0: -1
  10. Fri Apr 14 13:31:55 2023 A1: 3
  11. Fri Apr 14 13:31:55 2023 A2: 6
  12. Fri Apr 14 13:31:55 2023 A3: -4
  13. Fri Apr 14 13:31:55 2023 A4: -5
  14. Fri Apr 14 13:31:55 2023 A5: 1
  15. Fri Apr 14 13:31:55 2023 A6: 1
  16. Fri Apr 14 13:31:55 2023 skew 1.00, size 1.284e-11, alpha 3.126, combined = 7.486e-13 rroots = 6
  17. Fri Apr 14 13:31:55 2023
  18. Fri Apr 14 13:31:55 2023 commencing relation filtering
  19. Fri Apr 14 13:31:55 2023 setting target matrix density to 100.0
  20. Fri Apr 14 13:31:55 2023 estimated available RAM is 64238.6 MB
  21. Fri Apr 14 13:31:55 2023 commencing duplicate removal, pass 1
  22. Fri Apr 14 13:33:20 2023 error -11 reading relation 98101675
  23. Fri Apr 14 13:33:56 2023 skipped 23 relations with b > 2^32
  24. Fri Apr 14 13:33:56 2023 found 4370215 hash collisions in 139969952 relations
  25. Fri Apr 14 13:34:00 2023 added 2438358 free relations
  26. Fri Apr 14 13:34:00 2023 commencing duplicate removal, pass 2
  27. Fri Apr 14 13:34:23 2023 found 0 duplicates and 142408310 unique relations
  28. Fri Apr 14 13:34:23 2023 memory use: 405.2 MB
  29. Fri Apr 14 13:34:23 2023 reading ideals above 720000
  30. Fri Apr 14 13:34:23 2023 commencing singleton removal, initial pass
  31. Fri Apr 14 13:38:35 2023 memory use: 3012.0 MB
  32. Fri Apr 14 13:38:35 2023 reading all ideals from disk
  33. Fri Apr 14 13:38:36 2023 memory use: 6578.2 MB
  34. Fri Apr 14 13:38:42 2023 keeping 121047623 ideals with weight <= 200, target excess is 697819
  35. Fri Apr 14 13:38:50 2023 commencing in-memory singleton removal
  36. Fri Apr 14 13:38:52 2023 begin with 142408310 relations and 121047623 unique ideals
  37. Fri Apr 14 13:39:06 2023 reduce to 104244804 relations and 80528333 ideals in 12 passes
  38. Fri Apr 14 13:39:06 2023 max relations containing the same ideal: 174
  39. Fri Apr 14 13:39:23 2023 removing 8902114 relations and 6902114 ideals in 2000000 cliques
  40. Fri Apr 14 13:39:26 2023 commencing in-memory singleton removal
  41. Fri Apr 14 13:39:27 2023 begin with 95342690 relations and 80528333 unique ideals
  42. Fri Apr 14 13:39:33 2023 reduce to 94732977 relations and 73001543 ideals in 7 passes
  43. Fri Apr 14 13:39:33 2023 max relations containing the same ideal: 164
  44. Fri Apr 14 13:39:49 2023 removing 7007176 relations and 5007176 ideals in 2000000 cliques
  45. Fri Apr 14 13:39:51 2023 commencing in-memory singleton removal
  46. Fri Apr 14 13:39:53 2023 begin with 87725801 relations and 73001543 unique ideals
  47. Fri Apr 14 13:39:58 2023 reduce to 87303092 relations and 67562590 ideals in 7 passes
  48. Fri Apr 14 13:39:58 2023 max relations containing the same ideal: 157
  49. Fri Apr 14 13:40:13 2023 removing 6488831 relations and 4488831 ideals in 2000000 cliques
  50. Fri Apr 14 13:40:15 2023 commencing in-memory singleton removal
  51. Fri Apr 14 13:40:16 2023 begin with 80814261 relations and 67562590 unique ideals
  52. Fri Apr 14 13:40:21 2023 reduce to 80435342 relations and 62686634 ideals in 7 passes
  53. Fri Apr 14 13:40:21 2023 max relations containing the same ideal: 146
  54. Fri Apr 14 13:40:35 2023 removing 6231781 relations and 4231781 ideals in 2000000 cliques
  55. Fri Apr 14 13:40:37 2023 commencing in-memory singleton removal
  56. Fri Apr 14 13:40:38 2023 begin with 74203561 relations and 62686634 unique ideals
  57. Fri Apr 14 13:40:42 2023 reduce to 73837911 relations and 58080792 ideals in 6 passes
  58. Fri Apr 14 13:40:42 2023 max relations containing the same ideal: 137
  59. Fri Apr 14 13:40:54 2023 removing 6078204 relations and 4078204 ideals in 2000000 cliques
  60. Fri Apr 14 13:40:56 2023 commencing in-memory singleton removal
  61. Fri Apr 14 13:40:57 2023 begin with 67759707 relations and 58080792 unique ideals
  62. Fri Apr 14 13:41:01 2023 reduce to 67391056 relations and 53624902 ideals in 7 passes
  63. Fri Apr 14 13:41:01 2023 max relations containing the same ideal: 130
  64. Fri Apr 14 13:41:13 2023 removing 5985732 relations and 3985732 ideals in 2000000 cliques
  65. Fri Apr 14 13:41:14 2023 commencing in-memory singleton removal
  66. Fri Apr 14 13:41:15 2023 begin with 61405324 relations and 53624902 unique ideals
  67. Fri Apr 14 13:41:19 2023 reduce to 61021875 relations and 49245666 ideals in 8 passes
  68. Fri Apr 14 13:41:19 2023 max relations containing the same ideal: 124
  69. Fri Apr 14 13:41:30 2023 removing 5935257 relations and 3935257 ideals in 2000000 cliques
  70. Fri Apr 14 13:41:31 2023 commencing in-memory singleton removal
  71. Fri Apr 14 13:41:32 2023 begin with 55086618 relations and 49245666 unique ideals
  72. Fri Apr 14 13:41:35 2023 reduce to 54677932 relations and 44889719 ideals in 6 passes
  73. Fri Apr 14 13:41:35 2023 max relations containing the same ideal: 116
  74. Fri Apr 14 13:41:45 2023 removing 5912826 relations and 3912826 ideals in 2000000 cliques
  75. Fri Apr 14 13:41:46 2023 commencing in-memory singleton removal
  76. Fri Apr 14 13:41:47 2023 begin with 48765106 relations and 44889719 unique ideals
  77. Fri Apr 14 13:41:50 2023 reduce to 48313870 relations and 40511215 ideals in 7 passes
  78. Fri Apr 14 13:41:50 2023 max relations containing the same ideal: 103
  79. Fri Apr 14 13:41:58 2023 removing 5924291 relations and 3924291 ideals in 2000000 cliques
  80. Fri Apr 14 13:42:00 2023 commencing in-memory singleton removal
  81. Fri Apr 14 13:42:00 2023 begin with 42389579 relations and 40511215 unique ideals
  82. Fri Apr 14 13:42:03 2023 reduce to 41882762 relations and 36061714 ideals in 7 passes
  83. Fri Apr 14 13:42:03 2023 max relations containing the same ideal: 93
  84. Fri Apr 14 13:42:11 2023 removing 5958398 relations and 3958398 ideals in 2000000 cliques
  85. Fri Apr 14 13:42:12 2023 commencing in-memory singleton removal
  86. Fri Apr 14 13:42:12 2023 begin with 35924364 relations and 36061714 unique ideals
  87. Fri Apr 14 13:42:15 2023 reduce to 35331209 relations and 31485489 ideals in 8 passes
  88. Fri Apr 14 13:42:15 2023 max relations containing the same ideal: 84
  89. Fri Apr 14 13:42:22 2023 removing 6018832 relations and 4018832 ideals in 2000000 cliques
  90. Fri Apr 14 13:42:23 2023 commencing in-memory singleton removal
  91. Fri Apr 14 13:42:23 2023 begin with 29312377 relations and 31485489 unique ideals
  92. Fri Apr 14 13:42:25 2023 reduce to 28586114 relations and 26703944 ideals in 8 passes
  93. Fri Apr 14 13:42:25 2023 max relations containing the same ideal: 74
  94. Fri Apr 14 13:42:31 2023 removing 3685950 relations and 2613251 ideals in 1072699 cliques
  95. Fri Apr 14 13:42:32 2023 commencing in-memory singleton removal
  96. Fri Apr 14 13:42:32 2023 begin with 24900164 relations and 26703944 unique ideals
  97. Fri Apr 14 13:42:33 2023 reduce to 24521796 relations and 23699384 ideals in 8 passes
  98. Fri Apr 14 13:42:33 2023 max relations containing the same ideal: 68
  99. Fri Apr 14 13:42:38 2023 removing 88122 relations and 75181 ideals in 12941 cliques
  100. Fri Apr 14 13:42:39 2023 commencing in-memory singleton removal
  101. Fri Apr 14 13:42:39 2023 begin with 24433674 relations and 23699384 unique ideals
  102. Fri Apr 14 13:42:40 2023 reduce to 24433416 relations and 23623945 ideals in 5 passes
  103. Fri Apr 14 13:42:40 2023 max relations containing the same ideal: 68
  104. Fri Apr 14 13:42:42 2023 relations with 0 large ideals: 53521
  105. Fri Apr 14 13:42:42 2023 relations with 1 large ideals: 15281
  106. Fri Apr 14 13:42:42 2023 relations with 2 large ideals: 177450
  107. Fri Apr 14 13:42:42 2023 relations with 3 large ideals: 1016188
  108. Fri Apr 14 13:42:42 2023 relations with 4 large ideals: 3129767
  109. Fri Apr 14 13:42:42 2023 relations with 5 large ideals: 5695225
  110. Fri Apr 14 13:42:42 2023 relations with 6 large ideals: 6428808
  111. Fri Apr 14 13:42:42 2023 relations with 7+ large ideals: 7917176
  112. Fri Apr 14 13:42:42 2023 commencing 2-way merge
  113. Fri Apr 14 13:42:49 2023 reduce to 16252694 relation sets and 15443223 unique ideals
  114. Fri Apr 14 13:42:49 2023 commencing full merge
  115. Fri Apr 14 13:46:18 2023 memory use: 2092.5 MB
  116. Fri Apr 14 13:46:20 2023 found 7739939 cycles, need 7659423
  117. Fri Apr 14 13:46:21 2023 weight of 7659423 cycles is about 766576375 (100.08/cycle)
  118. Fri Apr 14 13:46:21 2023 distribution of cycle lengths:
  119. Fri Apr 14 13:46:21 2023 1 relations: 460794
  120. Fri Apr 14 13:46:21 2023 2 relations: 569083
  121. Fri Apr 14 13:46:21 2023 3 relations: 631649
  122. Fri Apr 14 13:46:21 2023 4 relations: 633075
  123. Fri Apr 14 13:46:21 2023 5 relations: 632782
  124. Fri Apr 14 13:46:21 2023 6 relations: 619051
  125. Fri Apr 14 13:46:21 2023 7 relations: 590705
  126. Fri Apr 14 13:46:21 2023 8 relations: 549059
  127. Fri Apr 14 13:46:21 2023 9 relations: 499364
  128. Fri Apr 14 13:46:21 2023 10+ relations: 2473861
  129. Fri Apr 14 13:46:21 2023 heaviest cycle: 28 relations
  130. Fri Apr 14 13:46:22 2023 commencing cycle optimization
  131. Fri Apr 14 13:46:31 2023 start with 59638659 relations
  132. Fri Apr 14 13:47:45 2023 pruned 2552775 relations
  133. Fri Apr 14 13:47:45 2023 memory use: 1625.5 MB
  134. Fri Apr 14 13:47:45 2023 distribution of cycle lengths:
  135. Fri Apr 14 13:47:45 2023 1 relations: 460794
  136. Fri Apr 14 13:47:45 2023 2 relations: 581201
  137. Fri Apr 14 13:47:45 2023 3 relations: 656591
  138. Fri Apr 14 13:47:45 2023 4 relations: 658069
  139. Fri Apr 14 13:47:45 2023 5 relations: 662840
  140. Fri Apr 14 13:47:45 2023 6 relations: 648298
  141. Fri Apr 14 13:47:45 2023 7 relations: 620546
  142. Fri Apr 14 13:47:45 2023 8 relations: 572695
  143. Fri Apr 14 13:47:45 2023 9 relations: 517891
  144. Fri Apr 14 13:47:45 2023 10+ relations: 2280498
  145. Fri Apr 14 13:47:45 2023 heaviest cycle: 27 relations
  146. Fri Apr 14 13:47:53 2023 RelProcTime: 958
  147. Fri Apr 14 13:47:53 2023
  148. Fri Apr 14 13:47:53 2023 commencing linear algebra
  149. Fri Apr 14 13:47:53 2023 using VBITS=256
  150. Fri Apr 14 13:47:53 2023 stopping after matrix build
  151. Fri Apr 14 13:47:53 2023 read 7659423 cycles
  152. Fri Apr 14 13:48:02 2023 cycles contain 24009511 unique relations
  153. Fri Apr 14 13:48:18 2023 read 24009511 relations
  154. Fri Apr 14 13:48:22 2023 using 20 quadratic characters above 4294917295
  155. Fri Apr 14 13:48:31 2023 building initial matrix
  156. Fri Apr 14 13:50:59 2023 memory use: 2926.7 MB
  157. Fri Apr 14 13:51:01 2023 read 7659423 cycles
  158. Fri Apr 14 13:51:02 2023 matrix is 7659244 x 7659423 (3046.0 MB) with weight 865513387 (113.00/col)
  159. Fri Apr 14 13:51:02 2023 sparse part has weight 721908814 (94.25/col)
  160. Fri Apr 14 13:51:41 2023 filtering completed in 2 passes
  161. Fri Apr 14 13:51:42 2023 matrix is 7658460 x 7658624 (3046.0 MB) with weight 865485235 (113.01/col)
  162. Fri Apr 14 13:51:42 2023 sparse part has weight 721895728 (94.26/col)
  163. Fri Apr 14 13:51:50 2023 BLanczosTime: 237
  164. Fri Apr 14 13:51:50 2023
  165. Fri Apr 14 13:51:50 2023 commencing square root phase
  166. Fri Apr 14 13:51:50 2023 handling dependencies 1 to 64
  167. Fri Apr 14 13:51:50 2023 reading relations for dependency 1
  168. Fri Apr 14 13:51:50 2023 error: read_cycles can't open dependency file
  169. Fri Apr 14 18:36:22 2023
  170. Fri Apr 14 18:36:22 2023
  171. Fri Apr 14 18:36:22 2023 Msieve v. 1.54 (SVN 03e8738)
  172. Fri Apr 14 18:36:22 2023 random seeds: 1c8bbed5 1c52fd6b
  173. Fri Apr 14 18:36:22 2023 Using 15 OpenMP threads
  174. Fri Apr 14 18:36:22 2023 factoring 56296697484206467037274011945248956008330441117727868936638191812211686187201389003736611121416618336576715426696605199949897762593060552508052557527854396011021760598126760783248322042016451483659548114903748227773223462007 (224 digits)
  175. Fri Apr 14 18:36:23 2023 no P-1/P+1/ECM available, skipping
  176. Fri Apr 14 18:36:23 2023 commencing number field sieve (224-digit input)
  177. Fri Apr 14 18:36:23 2023 R0: 2265330403358323328683573581022872956882
  178. Fri Apr 14 18:36:23 2023 R1: -47595487216314146359
  179. Fri Apr 14 18:36:23 2023 A0: -1
  180. Fri Apr 14 18:36:23 2023 A1: 3
  181. Fri Apr 14 18:36:23 2023 A2: 6
  182. Fri Apr 14 18:36:23 2023 A3: -4
  183. Fri Apr 14 18:36:23 2023 A4: -5
  184. Fri Apr 14 18:36:23 2023 A5: 1
  185. Fri Apr 14 18:36:23 2023 A6: 1
  186. Fri Apr 14 18:36:23 2023 skew 1.00, size 1.284e-11, alpha 3.126, combined = 7.486e-13 rroots = 6
  187. Fri Apr 14 18:36:23 2023
  188. Fri Apr 14 18:36:23 2023 commencing linear algebra
  189. Fri Apr 14 18:36:23 2023 using VBITS=256
  190. Fri Apr 14 18:36:23 2023 skipping matrix build
  191. Fri Apr 14 18:36:25 2023 matrix starts at (0, 0)
  192. Fri Apr 14 18:36:26 2023 matrix is 7658460 x 7658624 (3046.0 MB) with weight 865485235 (113.01/col)
  193. Fri Apr 14 18:36:26 2023 sparse part has weight 721895728 (94.26/col)
  194. Fri Apr 14 18:36:26 2023 saving the first 240 matrix rows for later
  195. Fri Apr 14 18:36:27 2023 matrix includes 256 packed rows
  196. Fri Apr 14 18:36:30 2023 matrix is 7658220 x 7658624 (2834.5 MB) with weight 654277114 (85.43/col)
  197. Fri Apr 14 18:36:30 2023 sparse part has weight 620505585 (81.02/col)
  198. Fri Apr 14 18:36:30 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  199. Fri Apr 14 18:36:30 2023 selected card has CUDA arch 8.6
  200. Fri Apr 14 18:37:07 2023 commencing Lanczos iteration
  201. Fri Apr 14 18:37:07 2023 memory use: 6662.3 MB
  202. Fri Apr 14 18:37:28 2023 linear algebra at 0.4%, ETA 1h23m
  203. Fri Apr 14 18:37:58 2023 checking every 90000 dimensions, checkpointing every 5580000 dimensions
  204. Fri Apr 14 20:01:24 2023 lanczos halted after 30005 iterations (dim = 7658220)
  205. Fri Apr 14 20:01:42 2023 recovered 36 nontrivial dependencies
  206. Fri Apr 14 20:01:42 2023 BLanczosTime: 5119
  207. Fri Apr 14 20:01:42 2023
  208. Fri Apr 14 20:01:42 2023 commencing square root phase
  209. Fri Apr 14 20:01:42 2023 handling dependencies 1 to 64
  210. Fri Apr 14 20:01:42 2023 reading relations for dependency 1
  211. Fri Apr 14 20:01:43 2023 read 3828361 cycles
  212. Fri Apr 14 20:01:47 2023 cycles contain 12008366 unique relations
  213. Fri Apr 14 20:01:57 2023 read 12008366 relations
  214. Fri Apr 14 20:02:31 2023 multiplying 12008366 relations
  215. Fri Apr 14 20:05:12 2023 multiply complete, coefficients have about 294.95 million bits
  216. Fri Apr 14 20:05:14 2023 initial square root is modulo 196073
  217. Fri Apr 14 20:07:15 2023 GCD is 1, no factor found
  218. Fri Apr 14 20:07:15 2023 reading relations for dependency 2
  219. Fri Apr 14 20:07:15 2023 read 3826641 cycles
  220. Fri Apr 14 20:07:20 2023 cycles contain 11996758 unique relations
  221. Fri Apr 14 20:07:30 2023 read 11996758 relations
  222. Fri Apr 14 20:07:58 2023 multiplying 11996758 relations
  223. Fri Apr 14 20:09:41 2023 multiply complete, coefficients have about 294.68 million bits
  224. Fri Apr 14 20:09:42 2023 initial square root is modulo 193871
  225. Fri Apr 14 20:10:45 2023 found factor: 6346889760175541995600358636425221125437624202529953913464303239078540943087029681963595429
  226. Fri Apr 14 20:10:45 2023 reading relations for dependency 3
  227. Fri Apr 14 20:10:46 2023 read 3828556 cycles
  228. Fri Apr 14 20:10:50 2023 cycles contain 12003926 unique relations
  229. Fri Apr 14 20:10:59 2023 read 12003926 relations
  230. Fri Apr 14 20:11:26 2023 multiplying 12003926 relations
  231. Fri Apr 14 20:13:08 2023 multiply complete, coefficients have about 294.85 million bits
  232. Fri Apr 14 20:13:09 2023 initial square root is modulo 195271
  233. Fri Apr 14 20:14:12 2023 sqrtTime: 750
  234. Fri Apr 14 20:14:12 2023 p45 factor: 108886267123908481481523336011677551009268903
  235. Fri Apr 14 20:14:12 2023 p89 factor: 81460834396295565414362100525304628952989834521249643167597182457223914676806341041471261
  236. Fri Apr 14 20:14:12 2023 p91 factor: 6346889760175541995600358636425221125437624202529953913464303239078540943087029681963595429
  237. Fri Apr 14 20:14:12 2023 elapsed time 01:37:50
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