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gchilders

363__249_11m1

Sep 11th, 2021
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  1. Sat Sep 11 18:50:19 2021
  2. Sat Sep 11 18:50:19 2021
  3. Sat Sep 11 18:50:19 2021 Msieve v. 1.54 (SVN unknown)
  4. Sat Sep 11 18:50:19 2021 random seeds: 9135fb7b cc494c4d
  5. Sat Sep 11 18:50:19 2021 factoring 3028687701294575391243396715892352149510655559615211668781544762030778575659381281468549475252613397084823364576760485594199762982666752881446332159891482705400953843418199678107262309624935600282008778238224361 (211 digits)
  6. Sat Sep 11 18:50:20 2021 no P-1/P+1/ECM available, skipping
  7. Sat Sep 11 18:50:20 2021 commencing number field sieve (211-digit input)
  8. Sat Sep 11 18:50:20 2021 R0: 1323061160338989876063019332640553314372242002
  9. Sat Sep 11 18:50:20 2021 R1: -36373907685853466410249
  10. Sat Sep 11 18:50:20 2021 A0: 1
  11. Sat Sep 11 18:50:20 2021 A1: 3
  12. Sat Sep 11 18:50:20 2021 A2: -3
  13. Sat Sep 11 18:50:20 2021 A3: -4
  14. Sat Sep 11 18:50:20 2021 A4: 1
  15. Sat Sep 11 18:50:20 2021 A5: 1
  16. Sat Sep 11 18:50:20 2021 skew 1.00, size 2.317e-15, alpha 2.379, combined = 1.631e-12 rroots = 5
  17. Sat Sep 11 18:50:20 2021
  18. Sat Sep 11 18:50:20 2021 commencing relation filtering
  19. Sat Sep 11 18:50:20 2021 setting target matrix density to 120.0
  20. Sat Sep 11 18:50:20 2021 estimated available RAM is 515600.8 MB
  21. Sat Sep 11 18:50:20 2021 commencing duplicate removal, pass 1
  22. Sat Sep 11 19:01:35 2021 skipped 39 relations with b > 2^32
  23. Sat Sep 11 19:01:35 2021 skipped 47 relations with composite factors
  24. Sat Sep 11 19:01:35 2021 found 22043362 hash collisions in 132583375 relations
  25. Sat Sep 11 19:01:41 2021 added 2926300 free relations
  26. Sat Sep 11 19:01:41 2021 commencing duplicate removal, pass 2
  27. Sat Sep 11 19:03:28 2021 found 19248822 duplicates and 116260853 unique relations
  28. Sat Sep 11 19:03:28 2021 memory use: 660.8 MB
  29. Sat Sep 11 19:03:28 2021 reading ideals above 720000
  30. Sat Sep 11 19:03:28 2021 commencing singleton removal, initial pass
  31. Sat Sep 11 19:13:38 2021 memory use: 2756.0 MB
  32. Sat Sep 11 19:13:38 2021 reading all ideals from disk
  33. Sat Sep 11 19:13:39 2021 memory use: 4338.0 MB
  34. Sat Sep 11 19:13:42 2021 keeping 93479794 ideals with weight <= 200, target excess is 598792
  35. Sat Sep 11 19:13:48 2021 commencing in-memory singleton removal
  36. Sat Sep 11 19:13:51 2021 begin with 116260853 relations and 93479794 unique ideals
  37. Sat Sep 11 19:14:19 2021 reduce to 86610315 relations and 61489789 ideals in 10 passes
  38. Sat Sep 11 19:14:19 2021 max relations containing the same ideal: 172
  39. Sat Sep 11 19:14:36 2021 removing 7468928 relations and 5468928 ideals in 2000000 cliques
  40. Sat Sep 11 19:14:38 2021 commencing in-memory singleton removal
  41. Sat Sep 11 19:14:41 2021 begin with 79141387 relations and 61489789 unique ideals
  42. Sat Sep 11 19:14:58 2021 reduce to 78595662 relations and 55459272 ideals in 7 passes
  43. Sat Sep 11 19:14:58 2021 max relations containing the same ideal: 161
  44. Sat Sep 11 19:15:13 2021 removing 6081411 relations and 4081411 ideals in 2000000 cliques
  45. Sat Sep 11 19:15:15 2021 commencing in-memory singleton removal
  46. Sat Sep 11 19:15:17 2021 begin with 72514251 relations and 55459272 unique ideals
  47. Sat Sep 11 19:15:33 2021 reduce to 72146307 relations and 51000291 ideals in 7 passes
  48. Sat Sep 11 19:15:33 2021 max relations containing the same ideal: 154
  49. Sat Sep 11 19:15:47 2021 removing 5683691 relations and 3683691 ideals in 2000000 cliques
  50. Sat Sep 11 19:15:49 2021 commencing in-memory singleton removal
  51. Sat Sep 11 19:15:51 2021 begin with 66462616 relations and 51000291 unique ideals
  52. Sat Sep 11 19:16:03 2021 reduce to 66141509 relations and 46987051 ideals in 6 passes
  53. Sat Sep 11 19:16:03 2021 max relations containing the same ideal: 147
  54. Sat Sep 11 19:16:17 2021 removing 5472494 relations and 3472494 ideals in 2000000 cliques
  55. Sat Sep 11 19:16:18 2021 commencing in-memory singleton removal
  56. Sat Sep 11 19:16:20 2021 begin with 60669015 relations and 46987051 unique ideals
  57. Sat Sep 11 19:16:33 2021 reduce to 60365055 relations and 43202253 ideals in 7 passes
  58. Sat Sep 11 19:16:33 2021 max relations containing the same ideal: 138
  59. Sat Sep 11 19:16:45 2021 removing 5340549 relations and 3340549 ideals in 2000000 cliques
  60. Sat Sep 11 19:16:47 2021 commencing in-memory singleton removal
  61. Sat Sep 11 19:16:48 2021 begin with 55024506 relations and 43202253 unique ideals
  62. Sat Sep 11 19:16:58 2021 reduce to 54725443 relations and 39553773 ideals in 6 passes
  63. Sat Sep 11 19:16:58 2021 max relations containing the same ideal: 133
  64. Sat Sep 11 19:17:10 2021 removing 5251131 relations and 3251131 ideals in 2000000 cliques
  65. Sat Sep 11 19:17:11 2021 commencing in-memory singleton removal
  66. Sat Sep 11 19:17:12 2021 begin with 49474312 relations and 39553773 unique ideals
  67. Sat Sep 11 19:17:23 2021 reduce to 49171127 relations and 35989811 ideals in 7 passes
  68. Sat Sep 11 19:17:23 2021 max relations containing the same ideal: 121
  69. Sat Sep 11 19:17:33 2021 removing 5184688 relations and 3184688 ideals in 2000000 cliques
  70. Sat Sep 11 19:17:35 2021 commencing in-memory singleton removal
  71. Sat Sep 11 19:17:36 2021 begin with 43986439 relations and 35989811 unique ideals
  72. Sat Sep 11 19:17:45 2021 reduce to 43667569 relations and 32475125 ideals in 7 passes
  73. Sat Sep 11 19:17:45 2021 max relations containing the same ideal: 112
  74. Sat Sep 11 19:17:54 2021 removing 5144777 relations and 3144777 ideals in 2000000 cliques
  75. Sat Sep 11 19:17:56 2021 commencing in-memory singleton removal
  76. Sat Sep 11 19:17:57 2021 begin with 38522792 relations and 32475125 unique ideals
  77. Sat Sep 11 19:18:04 2021 reduce to 38182969 relations and 28977167 ideals in 6 passes
  78. Sat Sep 11 19:18:04 2021 max relations containing the same ideal: 103
  79. Sat Sep 11 19:18:12 2021 removing 5120073 relations and 3120073 ideals in 2000000 cliques
  80. Sat Sep 11 19:18:13 2021 commencing in-memory singleton removal
  81. Sat Sep 11 19:18:14 2021 begin with 33062896 relations and 28977167 unique ideals
  82. Sat Sep 11 19:18:20 2021 reduce to 32685971 relations and 25464023 ideals in 6 passes
  83. Sat Sep 11 19:18:20 2021 max relations containing the same ideal: 91
  84. Sat Sep 11 19:18:27 2021 removing 5102504 relations and 3102504 ideals in 2000000 cliques
  85. Sat Sep 11 19:18:28 2021 commencing in-memory singleton removal
  86. Sat Sep 11 19:18:29 2021 begin with 27583467 relations and 25464023 unique ideals
  87. Sat Sep 11 19:18:34 2021 reduce to 27160175 relations and 21916771 ideals in 6 passes
  88. Sat Sep 11 19:18:34 2021 max relations containing the same ideal: 83
  89. Sat Sep 11 19:18:40 2021 removing 5095766 relations and 3095766 ideals in 2000000 cliques
  90. Sat Sep 11 19:18:41 2021 commencing in-memory singleton removal
  91. Sat Sep 11 19:18:42 2021 begin with 22064409 relations and 21916771 unique ideals
  92. Sat Sep 11 19:18:46 2021 reduce to 21567982 relations and 18294672 ideals in 7 passes
  93. Sat Sep 11 19:18:46 2021 max relations containing the same ideal: 70
  94. Sat Sep 11 19:18:51 2021 removing 5085882 relations and 3085882 ideals in 2000000 cliques
  95. Sat Sep 11 19:18:52 2021 commencing in-memory singleton removal
  96. Sat Sep 11 19:18:52 2021 begin with 16482100 relations and 18294672 unique ideals
  97. Sat Sep 11 19:18:56 2021 reduce to 15861902 relations and 14541923 ideals in 8 passes
  98. Sat Sep 11 19:18:56 2021 max relations containing the same ideal: 61
  99. Sat Sep 11 19:19:00 2021 removing 1902053 relations and 1276673 ideals in 625380 cliques
  100. Sat Sep 11 19:19:00 2021 commencing in-memory singleton removal
  101. Sat Sep 11 19:19:01 2021 begin with 13959849 relations and 14541923 unique ideals
  102. Sat Sep 11 19:19:03 2021 reduce to 13746504 relations and 13043396 ideals in 7 passes
  103. Sat Sep 11 19:19:03 2021 max relations containing the same ideal: 53
  104. Sat Sep 11 19:19:07 2021 removing 49268 relations and 40759 ideals in 8509 cliques
  105. Sat Sep 11 19:19:07 2021 commencing in-memory singleton removal
  106. Sat Sep 11 19:19:07 2021 begin with 13697236 relations and 13043396 unique ideals
  107. Sat Sep 11 19:19:09 2021 reduce to 13697086 relations and 13002486 ideals in 4 passes
  108. Sat Sep 11 19:19:09 2021 max relations containing the same ideal: 53
  109. Sat Sep 11 19:19:10 2021 relations with 0 large ideals: 47044
  110. Sat Sep 11 19:19:10 2021 relations with 1 large ideals: 16281
  111. Sat Sep 11 19:19:10 2021 relations with 2 large ideals: 182107
  112. Sat Sep 11 19:19:10 2021 relations with 3 large ideals: 912630
  113. Sat Sep 11 19:19:10 2021 relations with 4 large ideals: 2379797
  114. Sat Sep 11 19:19:10 2021 relations with 5 large ideals: 3601938
  115. Sat Sep 11 19:19:10 2021 relations with 6 large ideals: 3772250
  116. Sat Sep 11 19:19:10 2021 relations with 7+ large ideals: 2785039
  117. Sat Sep 11 19:19:10 2021 commencing 2-way merge
  118. Sat Sep 11 19:19:15 2021 reduce to 9577601 relation sets and 8883001 unique ideals
  119. Sat Sep 11 19:19:15 2021 commencing full merge
  120. Sat Sep 11 19:21:21 2021 memory use: 1147.1 MB
  121. Sat Sep 11 19:21:22 2021 found 4286053 cycles, need 4249201
  122. Sat Sep 11 19:21:23 2021 weight of 4249201 cycles is about 510002723 (120.02/cycle)
  123. Sat Sep 11 19:21:23 2021 distribution of cycle lengths:
  124. Sat Sep 11 19:21:23 2021 1 relations: 118737
  125. Sat Sep 11 19:21:23 2021 2 relations: 188524
  126. Sat Sep 11 19:21:23 2021 3 relations: 253829
  127. Sat Sep 11 19:21:23 2021 4 relations: 286021
  128. Sat Sep 11 19:21:23 2021 5 relations: 309367
  129. Sat Sep 11 19:21:23 2021 6 relations: 316035
  130. Sat Sep 11 19:21:23 2021 7 relations: 316433
  131. Sat Sep 11 19:21:23 2021 8 relations: 306030
  132. Sat Sep 11 19:21:23 2021 9 relations: 290333
  133. Sat Sep 11 19:21:23 2021 10+ relations: 1863892
  134. Sat Sep 11 19:21:23 2021 heaviest cycle: 28 relations
  135. Sat Sep 11 19:21:24 2021 commencing cycle optimization
  136. Sat Sep 11 19:21:29 2021 start with 40247364 relations
  137. Sat Sep 11 19:22:30 2021 pruned 2317106 relations
  138. Sat Sep 11 19:22:30 2021 memory use: 980.9 MB
  139. Sat Sep 11 19:22:30 2021 distribution of cycle lengths:
  140. Sat Sep 11 19:22:30 2021 1 relations: 118737
  141. Sat Sep 11 19:22:30 2021 2 relations: 193577
  142. Sat Sep 11 19:22:30 2021 3 relations: 265887
  143. Sat Sep 11 19:22:30 2021 4 relations: 301232
  144. Sat Sep 11 19:22:30 2021 5 relations: 329298
  145. Sat Sep 11 19:22:30 2021 6 relations: 337890
  146. Sat Sep 11 19:22:30 2021 7 relations: 339696
  147. Sat Sep 11 19:22:30 2021 8 relations: 327424
  148. Sat Sep 11 19:22:30 2021 9 relations: 309746
  149. Sat Sep 11 19:22:30 2021 10+ relations: 1725714
  150. Sat Sep 11 19:22:30 2021 heaviest cycle: 28 relations
  151. Sat Sep 11 19:22:34 2021 RelProcTime: 1934
  152. Sat Sep 11 19:22:34 2021 elapsed time 00:32:15
  153. Sat Sep 11 19:23:14 2021
  154. Sat Sep 11 19:23:14 2021
  155. Sat Sep 11 19:23:14 2021 Msieve v. 1.54 (SVN unknown)
  156. Sat Sep 11 19:23:14 2021 random seeds: 23bc4cb3 c24b27e6
  157. Sat Sep 11 19:23:14 2021 factoring 3028687701294575391243396715892352149510655559615211668781544762030778575659381281468549475252613397084823364576760485594199762982666752881446332159891482705400953843418199678107262309624935600282008778238224361 (211 digits)
  158. Sat Sep 11 19:23:15 2021 no P-1/P+1/ECM available, skipping
  159. Sat Sep 11 19:23:15 2021 commencing number field sieve (211-digit input)
  160. Sat Sep 11 19:23:15 2021 R0: 1323061160338989876063019332640553314372242002
  161. Sat Sep 11 19:23:15 2021 R1: -36373907685853466410249
  162. Sat Sep 11 19:23:15 2021 A0: 1
  163. Sat Sep 11 19:23:15 2021 A1: 3
  164. Sat Sep 11 19:23:15 2021 A2: -3
  165. Sat Sep 11 19:23:15 2021 A3: -4
  166. Sat Sep 11 19:23:15 2021 A4: 1
  167. Sat Sep 11 19:23:15 2021 A5: 1
  168. Sat Sep 11 19:23:15 2021 skew 1.00, size 2.317e-15, alpha 2.379, combined = 1.631e-12 rroots = 5
  169. Sat Sep 11 19:23:15 2021
  170. Sat Sep 11 19:23:15 2021 commencing linear algebra
  171. Sat Sep 11 19:23:15 2021 using VBITS=256
  172. Sat Sep 11 19:23:15 2021 read 4249201 cycles
  173. Sat Sep 11 19:23:20 2021 cycles contain 13392957 unique relations
  174. Sat Sep 11 19:25:18 2021 read 13392957 relations
  175. Sat Sep 11 19:25:32 2021 using 20 quadratic characters above 4294917295
  176. Sat Sep 11 19:26:08 2021 building initial matrix
  177. Sat Sep 11 19:27:46 2021 memory use: 1662.5 MB
  178. Sat Sep 11 19:27:47 2021 read 4249201 cycles
  179. Sat Sep 11 19:27:47 2021 matrix is 4249024 x 4249201 (1973.5 MB) with weight 562989587 (132.49/col)
  180. Sat Sep 11 19:27:47 2021 sparse part has weight 470605387 (110.75/col)
  181. Sat Sep 11 19:28:12 2021 filtering completed in 2 passes
  182. Sat Sep 11 19:28:13 2021 matrix is 4248905 x 4249066 (1973.5 MB) with weight 562984793 (132.50/col)
  183. Sat Sep 11 19:28:13 2021 sparse part has weight 470603361 (110.75/col)
  184. Sat Sep 11 19:28:19 2021 matrix starts at (0, 0)
  185. Sat Sep 11 19:28:20 2021 matrix is 4248905 x 4249066 (1973.5 MB) with weight 562984793 (132.50/col)
  186. Sat Sep 11 19:28:20 2021 sparse part has weight 470603361 (110.75/col)
  187. Sat Sep 11 19:28:20 2021 saving the first 240 matrix rows for later
  188. Sat Sep 11 19:28:20 2021 matrix includes 256 packed rows
  189. Sat Sep 11 19:28:21 2021 matrix is 4248665 x 4249066 (1798.4 MB) with weight 427295237 (100.56/col)
  190. Sat Sep 11 19:28:21 2021 sparse part has weight 403442069 (94.95/col)
  191. Sat Sep 11 19:28:22 2021 using GPU 1 (Tesla V100-PCIE-32GB)
  192. Sat Sep 11 19:28:22 2021 selected card has CUDA arch 7.0
  193. Sat Sep 11 19:28:36 2021 commencing Lanczos iteration
  194. Sat Sep 11 19:28:36 2021 memory use: 4147.8 MB
  195. Sat Sep 11 19:28:37 2021 linear algebra at 0.0%, ETA 0h46m
  196. Sat Sep 11 19:28:37 2021 checkpointing every 7350000 dimensions
  197. Sat Sep 11 20:10:03 2021 lanczos halted after 16648 iterations (dim = 4248663)
  198. Sat Sep 11 20:10:15 2021 recovered 34 nontrivial dependencies
  199. Sat Sep 11 20:10:16 2021 BLanczosTime: 2821
  200. Sat Sep 11 20:19:37 2021
  201. Sat Sep 11 20:19:37 2021
  202. Sat Sep 11 20:19:37 2021 Msieve v. 1.54 (SVN unknown)
  203. Sat Sep 11 20:19:37 2021 random seeds: c4c7696c a56621dc
  204. Sat Sep 11 20:19:37 2021 factoring 3028687701294575391243396715892352149510655559615211668781544762030778575659381281468549475252613397084823364576760485594199762982666752881446332159891482705400953843418199678107262309624935600282008778238224361 (211 digits)
  205. Sat Sep 11 20:19:37 2021 no P-1/P+1/ECM available, skipping
  206. Sat Sep 11 20:19:37 2021 commencing number field sieve (211-digit input)
  207. Sat Sep 11 20:19:37 2021 R0: 1323061160338989876063019332640553314372242002
  208. Sat Sep 11 20:19:37 2021 R1: -36373907685853466410249
  209. Sat Sep 11 20:19:37 2021 A0: 1
  210. Sat Sep 11 20:19:37 2021 A1: 3
  211. Sat Sep 11 20:19:37 2021 A2: -3
  212. Sat Sep 11 20:19:37 2021 A3: -4
  213. Sat Sep 11 20:19:37 2021 A4: 1
  214. Sat Sep 11 20:19:37 2021 A5: 1
  215. Sat Sep 11 20:19:37 2021 skew 1.00, size 2.317e-15, alpha 2.379, combined = 1.631e-12 rroots = 5
  216. Sat Sep 11 20:19:37 2021
  217. Sat Sep 11 20:19:37 2021 commencing square root phase
  218. Sat Sep 11 20:19:37 2021 reading relations for dependency 1
  219. Sat Sep 11 20:19:38 2021 read 2126007 cycles
  220. Sat Sep 11 20:19:40 2021 cycles contain 6697922 unique relations
  221. Sat Sep 11 20:21:18 2021 read 6697922 relations
  222. Sat Sep 11 20:21:34 2021 multiplying 6697922 relations
  223. Sat Sep 11 20:23:17 2021 multiply complete, coefficients have about 165.00 million bits
  224. Sat Sep 11 20:23:17 2021 initial square root is modulo 834341
  225. Sat Sep 11 20:25:23 2021 GCD is 1, no factor found
  226. Sat Sep 11 20:25:23 2021 reading relations for dependency 2
  227. Sat Sep 11 20:25:23 2021 read 2124526 cycles
  228. Sat Sep 11 20:25:25 2021 cycles contain 6697378 unique relations
  229. Sat Sep 11 20:27:03 2021 read 6697378 relations
  230. Sat Sep 11 20:27:19 2021 multiplying 6697378 relations
  231. Sat Sep 11 20:29:01 2021 multiply complete, coefficients have about 164.98 million bits
  232. Sat Sep 11 20:29:01 2021 initial square root is modulo 833563
  233. Sat Sep 11 20:31:06 2021 sqrtTime: 689
  234. Sat Sep 11 20:31:06 2021 p75 factor: 468132191463337357536680594369994295776757021238582307548259443932971978187
  235. Sat Sep 11 20:31:06 2021 p136 factor: 6469727475538867522025970866164205678466974659802559346539097295663006601913222102507214107583444123930940835434723777219251349449845403
  236. Sat Sep 11 20:31:06 2021 elapsed time 00:11:29
  237.  
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