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gchilders

51119_228

gchilders
Sep 12th, 2022
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  1. Mon Sep 12 22:31:32 2022
  2. Mon Sep 12 22:31:33 2022
  3. Mon Sep 12 22:31:33 2022 Msieve v. 1.54 (SVN unknown)
  4. Mon Sep 12 22:31:33 2022 random seeds: d3992f9a a99982ed
  5. Mon Sep 12 22:31:33 2022 MPI process 0 of 1
  6. Mon Sep 12 22:31:33 2022 factoring 464966766892357440724241082784513080888410068498426590969255002256431044061960356297355660629206589306067668213716579024817726312718756447177777930684417201 (156 digits)
  7. Mon Sep 12 22:31:33 2022 no P-1/P+1/ECM available, skipping
  8. Mon Sep 12 22:31:33 2022 commencing number field sieve (156-digit input)
  9. Mon Sep 12 22:31:33 2022 R0: -1603506243568725384221142711852
  10. Mon Sep 12 22:31:33 2022 R1: 16969721822213797
  11. Mon Sep 12 22:31:33 2022 A0: -45779104019721527982022868455765580311
  12. Mon Sep 12 22:31:33 2022 A1: -9647849442065059606628403626101
  13. Mon Sep 12 22:31:33 2022 A2: 4199103299126569766254083
  14. Mon Sep 12 22:31:33 2022 A3: -3773294063878407035
  15. Mon Sep 12 22:31:33 2022 A4: 89986524952
  16. Mon Sep 12 22:31:33 2022 A5: 43860
  17. Mon Sep 12 22:31:33 2022 skew 6008719.53, size 4.070e-15, alpha -6.813, combined = 2.634e-12 rroots = 3
  18. Mon Sep 12 22:31:33 2022
  19. Mon Sep 12 22:31:33 2022 commencing relation filtering
  20. Mon Sep 12 22:31:33 2022 setting target matrix density to 110.0
  21. Mon Sep 12 22:31:33 2022 estimated available RAM is 257667.4 MB
  22. Mon Sep 12 22:31:33 2022 commencing duplicate removal, pass 1
  23. Mon Sep 12 22:32:00 2022 error -9 reading relation 58015522
  24. Mon Sep 12 22:32:22 2022 skipped 1 relations with composite factors
  25. Mon Sep 12 22:32:22 2022 found 5007034 hash collisions in 107156248 relations
  26. Mon Sep 12 22:32:44 2022 added 122315 free relations
  27. Mon Sep 12 22:32:44 2022 commencing duplicate removal, pass 2
  28. Mon Sep 12 22:33:05 2022 found 2 duplicates and 107278561 unique relations
  29. Mon Sep 12 22:33:05 2022 memory use: 261.2 MB
  30. Mon Sep 12 22:33:05 2022 reading ideals above 720000
  31. Mon Sep 12 22:33:05 2022 commencing singleton removal, initial pass
  32. Mon Sep 12 22:35:38 2022 memory use: 2756.0 MB
  33. Mon Sep 12 22:35:38 2022 reading all ideals from disk
  34. Mon Sep 12 22:35:38 2022 memory use: 4742.9 MB
  35. Mon Sep 12 22:35:42 2022 keeping 90689179 ideals with weight <= 200, target excess is 553863
  36. Mon Sep 12 22:35:47 2022 commencing in-memory singleton removal
  37. Mon Sep 12 22:35:48 2022 begin with 107278561 relations and 90689179 unique ideals
  38. Mon Sep 12 22:35:52 2022 reduce to 74100171 relations and 54448849 ideals in 12 passes
  39. Mon Sep 12 22:35:52 2022 max relations containing the same ideal: 165
  40. Mon Sep 12 22:36:06 2022 removing 8084481 relations and 6084481 ideals in 2000000 cliques
  41. Mon Sep 12 22:36:08 2022 commencing in-memory singleton removal
  42. Mon Sep 12 22:36:09 2022 begin with 66015690 relations and 54448849 unique ideals
  43. Mon Sep 12 22:36:11 2022 reduce to 65322202 relations and 47647963 ideals in 9 passes
  44. Mon Sep 12 22:36:11 2022 max relations containing the same ideal: 156
  45. Mon Sep 12 22:36:24 2022 removing 6399012 relations and 4399012 ideals in 2000000 cliques
  46. Mon Sep 12 22:36:26 2022 commencing in-memory singleton removal
  47. Mon Sep 12 22:36:26 2022 begin with 58923190 relations and 47647963 unique ideals
  48. Mon Sep 12 22:36:28 2022 reduce to 58451142 relations and 42762393 ideals in 7 passes
  49. Mon Sep 12 22:36:28 2022 max relations containing the same ideal: 148
  50. Mon Sep 12 22:36:39 2022 removing 5950434 relations and 3950434 ideals in 2000000 cliques
  51. Mon Sep 12 22:36:41 2022 commencing in-memory singleton removal
  52. Mon Sep 12 22:36:42 2022 begin with 52500708 relations and 42762393 unique ideals
  53. Mon Sep 12 22:36:43 2022 reduce to 52080676 relations and 38378592 ideals in 7 passes
  54. Mon Sep 12 22:36:43 2022 max relations containing the same ideal: 134
  55. Mon Sep 12 22:36:54 2022 removing 5717354 relations and 3717354 ideals in 2000000 cliques
  56. Mon Sep 12 22:36:56 2022 commencing in-memory singleton removal
  57. Mon Sep 12 22:36:56 2022 begin with 46363322 relations and 38378592 unique ideals
  58. Mon Sep 12 22:36:57 2022 reduce to 45956902 relations and 34240893 ideals in 7 passes
  59. Mon Sep 12 22:36:57 2022 max relations containing the same ideal: 124
  60. Mon Sep 12 22:37:06 2022 removing 5574633 relations and 3574633 ideals in 2000000 cliques
  61. Mon Sep 12 22:37:08 2022 commencing in-memory singleton removal
  62. Mon Sep 12 22:37:08 2022 begin with 40382269 relations and 34240893 unique ideals
  63. Mon Sep 12 22:37:09 2022 reduce to 39971468 relations and 30240012 ideals in 6 passes
  64. Mon Sep 12 22:37:09 2022 max relations containing the same ideal: 112
  65. Mon Sep 12 22:37:18 2022 removing 5479936 relations and 3479936 ideals in 2000000 cliques
  66. Mon Sep 12 22:37:19 2022 commencing in-memory singleton removal
  67. Mon Sep 12 22:37:20 2022 begin with 34491532 relations and 30240012 unique ideals
  68. Mon Sep 12 22:37:20 2022 reduce to 34055065 relations and 26305180 ideals in 6 passes
  69. Mon Sep 12 22:37:20 2022 max relations containing the same ideal: 100
  70. Mon Sep 12 22:37:28 2022 removing 5421420 relations and 3421420 ideals in 2000000 cliques
  71. Mon Sep 12 22:37:29 2022 commencing in-memory singleton removal
  72. Mon Sep 12 22:37:29 2022 begin with 28633645 relations and 26305180 unique ideals
  73. Mon Sep 12 22:37:30 2022 reduce to 28151698 relations and 22378060 ideals in 7 passes
  74. Mon Sep 12 22:37:30 2022 max relations containing the same ideal: 88
  75. Mon Sep 12 22:37:36 2022 removing 5385059 relations and 3385059 ideals in 2000000 cliques
  76. Mon Sep 12 22:37:38 2022 commencing in-memory singleton removal
  77. Mon Sep 12 22:37:38 2022 begin with 22766639 relations and 22378060 unique ideals
  78. Mon Sep 12 22:37:38 2022 reduce to 22205910 relations and 18399438 ideals in 8 passes
  79. Mon Sep 12 22:37:38 2022 max relations containing the same ideal: 75
  80. Mon Sep 12 22:37:44 2022 removing 5359814 relations and 3359814 ideals in 2000000 cliques
  81. Mon Sep 12 22:37:45 2022 commencing in-memory singleton removal
  82. Mon Sep 12 22:37:45 2022 begin with 16846096 relations and 18399438 unique ideals
  83. Mon Sep 12 22:37:45 2022 reduce to 16158636 relations and 14300229 ideals in 7 passes
  84. Mon Sep 12 22:37:45 2022 max relations containing the same ideal: 62
  85. Mon Sep 12 22:37:49 2022 removing 3504247 relations and 2288322 ideals in 1215925 cliques
  86. Mon Sep 12 22:37:50 2022 commencing in-memory singleton removal
  87. Mon Sep 12 22:37:50 2022 begin with 12654389 relations and 14300229 unique ideals
  88. Mon Sep 12 22:37:50 2022 reduce to 12173003 relations and 11498234 ideals in 8 passes
  89. Mon Sep 12 22:37:50 2022 max relations containing the same ideal: 50
  90. Mon Sep 12 22:37:54 2022 removing 178482 relations and 146195 ideals in 32287 cliques
  91. Mon Sep 12 22:37:54 2022 commencing in-memory singleton removal
  92. Mon Sep 12 22:37:54 2022 begin with 11994521 relations and 11498234 unique ideals
  93. Mon Sep 12 22:37:54 2022 reduce to 11992523 relations and 11350033 ideals in 5 passes
  94. Mon Sep 12 22:37:54 2022 max relations containing the same ideal: 49
  95. Mon Sep 12 22:37:55 2022 relations with 0 large ideals: 1717
  96. Mon Sep 12 22:37:55 2022 relations with 1 large ideals: 17086
  97. Mon Sep 12 22:37:55 2022 relations with 2 large ideals: 201688
  98. Mon Sep 12 22:37:55 2022 relations with 3 large ideals: 974369
  99. Mon Sep 12 22:37:55 2022 relations with 4 large ideals: 2396770
  100. Mon Sep 12 22:37:55 2022 relations with 5 large ideals: 3378991
  101. Mon Sep 12 22:37:55 2022 relations with 6 large ideals: 2895920
  102. Mon Sep 12 22:37:55 2022 relations with 7+ large ideals: 2125982
  103. Mon Sep 12 22:37:55 2022 commencing 2-way merge
  104. Mon Sep 12 22:37:59 2022 reduce to 7980077 relation sets and 7337587 unique ideals
  105. Mon Sep 12 22:37:59 2022 commencing full merge
  106. Mon Sep 12 22:39:34 2022 memory use: 934.8 MB
  107. Mon Sep 12 22:39:34 2022 found 3752824 cycles, need 3677787
  108. Mon Sep 12 22:39:35 2022 weight of 3677787 cycles is about 404766032 (110.06/cycle)
  109. Mon Sep 12 22:39:35 2022 distribution of cycle lengths:
  110. Mon Sep 12 22:39:35 2022 1 relations: 103897
  111. Mon Sep 12 22:39:35 2022 2 relations: 222421
  112. Mon Sep 12 22:39:35 2022 3 relations: 283289
  113. Mon Sep 12 22:39:35 2022 4 relations: 307415
  114. Mon Sep 12 22:39:35 2022 5 relations: 324523
  115. Mon Sep 12 22:39:35 2022 6 relations: 322348
  116. Mon Sep 12 22:39:35 2022 7 relations: 313193
  117. Mon Sep 12 22:39:35 2022 8 relations: 292329
  118. Mon Sep 12 22:39:35 2022 9 relations: 265078
  119. Mon Sep 12 22:39:35 2022 10+ relations: 1243294
  120. Mon Sep 12 22:39:35 2022 heaviest cycle: 25 relations
  121. Mon Sep 12 22:39:36 2022 commencing cycle optimization
  122. Mon Sep 12 22:39:40 2022 start with 29696174 relations
  123. Mon Sep 12 22:40:20 2022 pruned 1424394 relations
  124. Mon Sep 12 22:40:20 2022 memory use: 801.5 MB
  125. Mon Sep 12 22:40:20 2022 distribution of cycle lengths:
  126. Mon Sep 12 22:40:20 2022 1 relations: 103897
  127. Mon Sep 12 22:40:20 2022 2 relations: 229299
  128. Mon Sep 12 22:40:20 2022 3 relations: 297641
  129. Mon Sep 12 22:40:20 2022 4 relations: 322944
  130. Mon Sep 12 22:40:20 2022 5 relations: 343954
  131. Mon Sep 12 22:40:20 2022 6 relations: 341905
  132. Mon Sep 12 22:40:20 2022 7 relations: 332019
  133. Mon Sep 12 22:40:20 2022 8 relations: 306888
  134. Mon Sep 12 22:40:20 2022 9 relations: 275716
  135. Mon Sep 12 22:40:20 2022 10+ relations: 1123524
  136. Mon Sep 12 22:40:20 2022 heaviest cycle: 24 relations
  137. Mon Sep 12 22:40:24 2022 RelProcTime: 531
  138. Mon Sep 12 22:40:24 2022 elapsed time 00:08:51
  139. Mon Sep 12 22:40:28 2022
  140. Mon Sep 12 22:40:28 2022
  141. Mon Sep 12 22:40:28 2022 Msieve v. 1.54 (SVN unknown)
  142. Mon Sep 12 22:40:28 2022 random seeds: a3f1714f 00df8544
  143. Mon Sep 12 22:40:28 2022 MPI process 0 of 4
  144. Mon Sep 12 22:40:28 2022 factoring 464966766892357440724241082784513080888410068498426590969255002256431044061960356297355660629206589306067668213716579024817726312718756447177777930684417201 (156 digits)
  145. Mon Sep 12 22:40:29 2022 no P-1/P+1/ECM available, skipping
  146. Mon Sep 12 22:40:29 2022 commencing number field sieve (156-digit input)
  147. Mon Sep 12 22:40:29 2022 R0: -1603506243568725384221142711852
  148. Mon Sep 12 22:40:29 2022 R1: 16969721822213797
  149. Mon Sep 12 22:40:29 2022 A0: -45779104019721527982022868455765580311
  150. Mon Sep 12 22:40:29 2022 A1: -9647849442065059606628403626101
  151. Mon Sep 12 22:40:29 2022 A2: 4199103299126569766254083
  152. Mon Sep 12 22:40:29 2022 A3: -3773294063878407035
  153. Mon Sep 12 22:40:29 2022 A4: 89986524952
  154. Mon Sep 12 22:40:29 2022 A5: 43860
  155. Mon Sep 12 22:40:29 2022 skew 6008719.53, size 4.070e-15, alpha -6.813, combined = 2.634e-12 rroots = 3
  156. Mon Sep 12 22:40:29 2022
  157. Mon Sep 12 22:40:29 2022 commencing linear algebra
  158. Mon Sep 12 22:40:29 2022 using VBITS=256
  159. Mon Sep 12 22:40:29 2022 initialized process (0,0) of 2 x 2 grid
  160. Mon Sep 12 22:40:29 2022 read 3677787 cycles
  161. Mon Sep 12 22:40:34 2022 cycles contain 11686301 unique relations
  162. Mon Sep 12 22:41:28 2022 read 11686301 relations
  163. Mon Sep 12 22:41:39 2022 using 20 quadratic characters above 4294917295
  164. Mon Sep 12 22:42:19 2022 building initial matrix
  165. Mon Sep 12 22:44:00 2022 memory use: 1606.4 MB
  166. Mon Sep 12 22:44:02 2022 read 3677787 cycles
  167. Mon Sep 12 22:44:02 2022 matrix is 3677609 x 3677787 (1589.3 MB) with weight 487973720 (132.68/col)
  168. Mon Sep 12 22:44:02 2022 sparse part has weight 376173897 (102.28/col)
  169. Mon Sep 12 22:44:24 2022 filtering completed in 2 passes
  170. Mon Sep 12 22:44:25 2022 matrix is 3677279 x 3677456 (1589.3 MB) with weight 487955980 (132.69/col)
  171. Mon Sep 12 22:44:25 2022 sparse part has weight 376166344 (102.29/col)
  172. Mon Sep 12 22:44:31 2022 matrix starts at (0, 0)
  173. Mon Sep 12 22:44:32 2022 matrix is 1838760 x 1838740 (469.6 MB) with weight 158768418 (86.35/col)
  174. Mon Sep 12 22:44:32 2022 sparse part has weight 102868643 (55.95/col)
  175. Mon Sep 12 22:44:32 2022 saving the first 240 matrix rows for later
  176. Mon Sep 12 22:44:32 2022 matrix includes 256 packed rows
  177. Mon Sep 12 22:44:33 2022 matrix is 1838520 x 1838740 (402.9 MB) with weight 85326537 (46.40/col)
  178. Mon Sep 12 22:44:33 2022 sparse part has weight 76188837 (41.44/col)
  179. Mon Sep 12 22:44:33 2022 using GPU 0 (NVIDIA A100-SXM4-40GB)
  180. Mon Sep 12 22:44:33 2022 selected card has CUDA arch 8.0
  181. Mon Sep 12 22:44:37 2022 commencing Lanczos iteration
  182. Mon Sep 12 22:44:37 2022 memory use: 932.0 MB
  183. Mon Sep 12 22:44:39 2022 linear algebra at 0.8%, ETA 0h 3m
  184. Mon Sep 12 22:44:42 2022 checking every 920000 dimensions, checkpointing every 56120000 dimensions
  185. Mon Sep 12 22:48:33 2022 lanczos halted after 14408 iterations (dim = 3677037)
  186. Mon Sep 12 22:48:45 2022 recovered 30 nontrivial dependencies
  187. Mon Sep 12 22:48:45 2022 BLanczosTime: 496
  188. Mon Sep 12 22:48:45 2022 elapsed time 00:08:17
  189. Mon Sep 12 22:49:37 2022
  190. Mon Sep 12 22:49:37 2022
  191. Mon Sep 12 22:49:37 2022 Msieve v. 1.54 (SVN unknown)
  192. Mon Sep 12 22:49:37 2022 random seeds: 1bdce3f3 bd8ecd3a
  193. Mon Sep 12 22:49:37 2022 MPI process 0 of 1
  194. Mon Sep 12 22:49:37 2022 factoring 464966766892357440724241082784513080888410068498426590969255002256431044061960356297355660629206589306067668213716579024817726312718756447177777930684417201 (156 digits)
  195. Mon Sep 12 22:49:37 2022 no P-1/P+1/ECM available, skipping
  196. Mon Sep 12 22:49:37 2022 commencing number field sieve (156-digit input)
  197. Mon Sep 12 22:49:37 2022 R0: -1603506243568725384221142711852
  198. Mon Sep 12 22:49:37 2022 R1: 16969721822213797
  199. Mon Sep 12 22:49:37 2022 A0: -45779104019721527982022868455765580311
  200. Mon Sep 12 22:49:37 2022 A1: -9647849442065059606628403626101
  201. Mon Sep 12 22:49:37 2022 A2: 4199103299126569766254083
  202. Mon Sep 12 22:49:37 2022 A3: -3773294063878407035
  203. Mon Sep 12 22:49:37 2022 A4: 89986524952
  204. Mon Sep 12 22:49:37 2022 A5: 43860
  205. Mon Sep 12 22:49:37 2022 skew 6008719.53, size 4.070e-15, alpha -6.813, combined = 2.634e-12 rroots = 3
  206. Mon Sep 12 22:49:37 2022
  207. Mon Sep 12 22:49:37 2022 commencing square root phase
  208. Mon Sep 12 22:49:37 2022 reading relations for dependency 1
  209. Mon Sep 12 22:49:39 2022 read 1839177 cycles
  210. Mon Sep 12 22:49:41 2022 cycles contain 5843434 unique relations
  211. Mon Sep 12 22:49:48 2022 read 5843434 relations
  212. Mon Sep 12 22:50:03 2022 multiplying 5843434 relations
  213. Mon Sep 12 22:50:34 2022 multiply complete, coefficients have about 298.68 million bits
  214. Mon Sep 12 22:50:35 2022 initial square root is modulo 228911
  215. Mon Sep 12 22:51:57 2022 GCD is N, no factor found
  216. Mon Sep 12 22:51:57 2022 reading relations for dependency 2
  217. Mon Sep 12 22:51:57 2022 read 1838713 cycles
  218. Mon Sep 12 22:51:59 2022 cycles contain 5843398 unique relations
  219. Mon Sep 12 22:52:05 2022 read 5843398 relations
  220. Mon Sep 12 22:52:20 2022 multiplying 5843398 relations
  221. Mon Sep 12 22:52:48 2022 multiply complete, coefficients have about 298.68 million bits
  222. Mon Sep 12 22:52:48 2022 initial square root is modulo 228911
  223. Mon Sep 12 22:54:11 2022 sqrtTime: 274
  224. Mon Sep 12 22:54:11 2022 p61 factor: 9781735752007979820096936548475137164379055133171022384415841
  225. Mon Sep 12 22:54:11 2022 p95 factor: 47534177847414225112525093559442535911422908560812969802656771347660372962319309849320994234961
  226. Mon Sep 12 22:54:11 2022 elapsed time 00:04:34
  227.  
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