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May 17th, 2023
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  1. Tue May 16 14:54:20 2023 Msieve v. 1.54 (SVN 03e8738)
  2. Tue May 16 14:54:20 2023 random seeds: b2c9c31c 640a2c8a
  3. Tue May 16 14:54:20 2023 Using 15 OpenMP threads
  4. Tue May 16 14:54:20 2023 factoring 156243225124882859168060463349814622211491918521506062812955301372143143405958223140211071217918835109674406743328900057771354893436641035155051923821672466836515255844726484848647552427324174633517856778894159845061 (216 digits)
  5. Tue May 16 14:54:20 2023 no P-1/P+1/ECM available, skipping
  6. Tue May 16 14:54:20 2023 commencing number field sieve (216-digit input)
  7. Tue May 16 14:54:20 2023 R0: 706965049015104706497203195837614914543357369
  8. Tue May 16 14:54:20 2023 R1: -19807040628566084398385987584
  9. Tue May 16 14:54:20 2023 A0: 4
  10. Tue May 16 14:54:20 2023 A1: 0
  11. Tue May 16 14:54:20 2023 A2: 0
  12. Tue May 16 14:54:20 2023 A3: 0
  13. Tue May 16 14:54:20 2023 A4: 0
  14. Tue May 16 14:54:20 2023 A5: 0
  15. Tue May 16 14:54:20 2023 A6: 9
  16. Tue May 16 14:54:20 2023 skew 0.87, size 3.058e-13, alpha 0.552, combined = 4.711e-14 rroots = 0
  17. Tue May 16 14:54:20 2023
  18. Tue May 16 14:54:20 2023 commencing relation filtering
  19. Tue May 16 14:54:20 2023 setting target matrix density to 120.0
  20. Tue May 16 14:54:20 2023 estimated available RAM is 64226.6 MB
  21. Tue May 16 14:54:20 2023 commencing duplicate removal, pass 1
  22. Tue May 16 14:57:55 2023 error -5 reading relation 150308919
  23. Tue May 16 15:00:21 2023 error -15 reading relation 271979967
  24. Tue May 16 15:00:57 2023 skipped 1980 relations with b > 2^32
  25. Tue May 16 15:00:57 2023 skipped 3 malformed relations
  26. Tue May 16 15:00:57 2023 found 19669339 hash collisions in 304399624 relations
  27. Tue May 16 15:01:10 2023 added 1219066 free relations
  28. Tue May 16 15:01:10 2023 commencing duplicate removal, pass 2
  29. Tue May 16 15:02:34 2023 found 0 duplicates and 305618690 unique relations
  30. Tue May 16 15:02:34 2023 memory use: 852.8 MB
  31. Tue May 16 15:02:34 2023 reading ideals above 224854016
  32. Tue May 16 15:02:34 2023 commencing singleton removal, initial pass
  33. Tue May 16 15:11:25 2023 memory use: 6024.0 MB
  34. Tue May 16 15:11:25 2023 reading all ideals from disk
  35. Tue May 16 15:11:26 2023 memory use: 7861.6 MB
  36. Tue May 16 15:11:36 2023 commencing in-memory singleton removal
  37. Tue May 16 15:11:38 2023 begin with 305618690 relations and 249176826 unique ideals
  38. Tue May 16 15:12:03 2023 reduce to 229578115 relations and 169163201 ideals in 16 passes
  39. Tue May 16 15:12:03 2023 max relations containing the same ideal: 46
  40. Tue May 16 15:12:09 2023 reading ideals above 720000
  41. Tue May 16 15:12:09 2023 commencing singleton removal, initial pass
  42. Tue May 16 15:28:33 2023 memory use: 5512.0 MB
  43. Tue May 16 15:28:33 2023 reading all ideals from disk
  44. Tue May 16 15:28:36 2023 memory use: 11415.8 MB
  45. Tue May 16 15:28:55 2023 keeping 192715416 ideals with weight <= 200, target excess is 1196661
  46. Tue May 16 15:29:24 2023 commencing in-memory singleton removal
  47. Tue May 16 15:29:28 2023 begin with 229578115 relations and 192715416 unique ideals
  48. Tue May 16 15:29:52 2023 reduce to 229575846 relations and 192713147 ideals in 9 passes
  49. Tue May 16 15:29:52 2023 max relations containing the same ideal: 200
  50. Tue May 16 15:30:46 2023 removing 14046007 relations and 12046007 ideals in 2000000 cliques
  51. Tue May 16 15:30:51 2023 commencing in-memory singleton removal
  52. Tue May 16 15:30:55 2023 begin with 215529839 relations and 192713147 unique ideals
  53. Tue May 16 15:31:17 2023 reduce to 214839150 relations and 179968129 ideals in 9 passes
  54. Tue May 16 15:31:17 2023 max relations containing the same ideal: 198
  55. Tue May 16 15:32:21 2023 removing 10554850 relations and 8554850 ideals in 2000000 cliques
  56. Tue May 16 15:32:27 2023 commencing in-memory singleton removal
  57. Tue May 16 15:32:31 2023 begin with 204284300 relations and 179968129 unique ideals
  58. Tue May 16 15:32:50 2023 reduce to 203852373 relations and 170977044 ideals in 8 passes
  59. Tue May 16 15:32:50 2023 max relations containing the same ideal: 194
  60. Tue May 16 15:33:49 2023 removing 9462488 relations and 7462488 ideals in 2000000 cliques
  61. Tue May 16 15:33:55 2023 commencing in-memory singleton removal
  62. Tue May 16 15:33:58 2023 begin with 194389885 relations and 170977044 unique ideals
  63. Tue May 16 15:34:16 2023 reduce to 194018585 relations and 163139567 ideals in 8 passes
  64. Tue May 16 15:34:16 2023 max relations containing the same ideal: 189
  65. Tue May 16 15:35:12 2023 removing 8879430 relations and 6879430 ideals in 2000000 cliques
  66. Tue May 16 15:35:18 2023 commencing in-memory singleton removal
  67. Tue May 16 15:35:21 2023 begin with 185139155 relations and 163139567 unique ideals
  68. Tue May 16 15:35:38 2023 reduce to 184797447 relations and 155914992 ideals in 8 passes
  69. Tue May 16 15:35:38 2023 max relations containing the same ideal: 184
  70. Tue May 16 15:36:31 2023 removing 8498209 relations and 6498209 ideals in 2000000 cliques
  71. Tue May 16 15:36:36 2023 commencing in-memory singleton removal
  72. Tue May 16 15:36:39 2023 begin with 176299238 relations and 155914992 unique ideals
  73. Tue May 16 15:36:55 2023 reduce to 175970510 relations and 149084761 ideals in 8 passes
  74. Tue May 16 15:36:55 2023 max relations containing the same ideal: 179
  75. Tue May 16 15:37:46 2023 removing 8242613 relations and 6242613 ideals in 2000000 cliques
  76. Tue May 16 15:37:51 2023 commencing in-memory singleton removal
  77. Tue May 16 15:37:54 2023 begin with 167727897 relations and 149084761 unique ideals
  78. Tue May 16 15:38:07 2023 reduce to 167406864 relations and 142517580 ideals in 7 passes
  79. Tue May 16 15:38:07 2023 max relations containing the same ideal: 172
  80. Tue May 16 15:38:55 2023 removing 8054797 relations and 6054797 ideals in 2000000 cliques
  81. Tue May 16 15:39:00 2023 commencing in-memory singleton removal
  82. Tue May 16 15:39:03 2023 begin with 159352067 relations and 142517580 unique ideals
  83. Tue May 16 15:39:15 2023 reduce to 159029842 relations and 136137107 ideals in 7 passes
  84. Tue May 16 15:39:15 2023 max relations containing the same ideal: 169
  85. Tue May 16 15:39:48 2023 removing 7922427 relations and 5922427 ideals in 2000000 cliques
  86. Tue May 16 15:39:52 2023 commencing in-memory singleton removal
  87. Tue May 16 15:39:55 2023 begin with 151107415 relations and 136137107 unique ideals
  88. Tue May 16 15:40:08 2023 reduce to 150782551 relations and 129886149 ideals in 8 passes
  89. Tue May 16 15:40:08 2023 max relations containing the same ideal: 164
  90. Tue May 16 15:40:53 2023 removing 7824544 relations and 5824544 ideals in 2000000 cliques
  91. Tue May 16 15:40:57 2023 commencing in-memory singleton removal
  92. Tue May 16 15:41:00 2023 begin with 142958007 relations and 129886149 unique ideals
  93. Tue May 16 15:41:11 2023 reduce to 142625653 relations and 123725365 ideals in 7 passes
  94. Tue May 16 15:41:11 2023 max relations containing the same ideal: 157
  95. Tue May 16 15:41:53 2023 removing 7757441 relations and 5757441 ideals in 2000000 cliques
  96. Tue May 16 15:41:58 2023 commencing in-memory singleton removal
  97. Tue May 16 15:42:00 2023 begin with 134868212 relations and 123725365 unique ideals
  98. Tue May 16 15:42:11 2023 reduce to 134526967 relations and 117622429 ideals in 7 passes
  99. Tue May 16 15:42:11 2023 max relations containing the same ideal: 150
  100. Tue May 16 15:42:51 2023 removing 7720137 relations and 5720137 ideals in 2000000 cliques
  101. Tue May 16 15:42:55 2023 commencing in-memory singleton removal
  102. Tue May 16 15:42:58 2023 begin with 126806830 relations and 117622429 unique ideals
  103. Tue May 16 15:43:09 2023 reduce to 126451107 relations and 111541913 ideals in 8 passes
  104. Tue May 16 15:43:09 2023 max relations containing the same ideal: 145
  105. Tue May 16 15:43:47 2023 removing 7700519 relations and 5700519 ideals in 2000000 cliques
  106. Tue May 16 15:43:51 2023 commencing in-memory singleton removal
  107. Tue May 16 15:43:53 2023 begin with 118750588 relations and 111541913 unique ideals
  108. Tue May 16 15:44:04 2023 reduce to 118375772 relations and 105461554 ideals in 8 passes
  109. Tue May 16 15:44:04 2023 max relations containing the same ideal: 139
  110. Tue May 16 15:44:39 2023 removing 7696676 relations and 5696676 ideals in 2000000 cliques
  111. Tue May 16 15:44:43 2023 commencing in-memory singleton removal
  112. Tue May 16 15:44:45 2023 begin with 110679096 relations and 105461554 unique ideals
  113. Tue May 16 15:44:55 2023 reduce to 110282115 relations and 99362034 ideals in 8 passes
  114. Tue May 16 15:44:55 2023 max relations containing the same ideal: 132
  115. Tue May 16 15:45:18 2023 removing 7717383 relations and 5717383 ideals in 2000000 cliques
  116. Tue May 16 15:45:21 2023 commencing in-memory singleton removal
  117. Tue May 16 15:45:23 2023 begin with 102564732 relations and 99362034 unique ideals
  118. Tue May 16 15:45:32 2023 reduce to 102140440 relations and 93213693 ideals in 8 passes
  119. Tue May 16 15:45:32 2023 max relations containing the same ideal: 126
  120. Tue May 16 15:46:03 2023 removing 7748219 relations and 5748219 ideals in 2000000 cliques
  121. Tue May 16 15:46:07 2023 commencing in-memory singleton removal
  122. Tue May 16 15:46:08 2023 begin with 94392221 relations and 93213693 unique ideals
  123. Tue May 16 15:46:16 2023 reduce to 93933197 relations and 86998854 ideals in 7 passes
  124. Tue May 16 15:46:16 2023 max relations containing the same ideal: 120
  125. Tue May 16 15:46:45 2023 removing 7797570 relations and 5797570 ideals in 2000000 cliques
  126. Tue May 16 15:46:49 2023 commencing in-memory singleton removal
  127. Tue May 16 15:46:50 2023 begin with 86135627 relations and 86998854 unique ideals
  128. Tue May 16 15:46:58 2023 reduce to 85631168 relations and 80687719 ideals in 8 passes
  129. Tue May 16 15:46:58 2023 max relations containing the same ideal: 115
  130. Tue May 16 15:47:17 2023 removing 7869297 relations and 5869297 ideals in 2000000 cliques
  131. Tue May 16 15:47:20 2023 commencing in-memory singleton removal
  132. Tue May 16 15:47:21 2023 begin with 77761871 relations and 80687719 unique ideals
  133. Tue May 16 15:47:29 2023 reduce to 77198111 relations and 74243416 ideals in 9 passes
  134. Tue May 16 15:47:29 2023 max relations containing the same ideal: 108
  135. Tue May 16 15:47:53 2023 removing 6541063 relations and 4974495 ideals in 1566568 cliques
  136. Tue May 16 15:47:56 2023 commencing in-memory singleton removal
  137. Tue May 16 15:47:58 2023 begin with 70657048 relations and 74243416 unique ideals
  138. Tue May 16 15:48:03 2023 reduce to 70231562 relations and 68836144 ideals in 7 passes
  139. Tue May 16 15:48:03 2023 max relations containing the same ideal: 100
  140. Tue May 16 15:48:37 2023 relations with 0 large ideals: 45541
  141. Tue May 16 15:48:37 2023 relations with 1 large ideals: 14638
  142. Tue May 16 15:48:37 2023 relations with 2 large ideals: 193280
  143. Tue May 16 15:48:37 2023 relations with 3 large ideals: 1373621
  144. Tue May 16 15:48:37 2023 relations with 4 large ideals: 5313988
  145. Tue May 16 15:48:37 2023 relations with 5 large ideals: 12361533
  146. Tue May 16 15:48:37 2023 relations with 6 large ideals: 18117137
  147. Tue May 16 15:48:37 2023 relations with 7+ large ideals: 32811824
  148. Tue May 16 15:48:37 2023 commencing 2-way merge
  149. Tue May 16 15:49:07 2023 reduce to 44386740 relation sets and 42991321 unique ideals
  150. Tue May 16 15:49:07 2023 commencing full merge
  151. Tue May 16 16:06:28 2023 memory use: 5767.3 MB
  152. Tue May 16 16:06:32 2023 found 19999760 cycles, need 19955521
  153. Tue May 16 16:06:38 2023 weight of 19955521 cycles is about 2395203318 (120.03/cycle)
  154. Tue May 16 16:06:39 2023 distribution of cycle lengths:
  155. Tue May 16 16:06:39 2023 1 relations: 1208527
  156. Tue May 16 16:06:39 2023 2 relations: 1371928
  157. Tue May 16 16:06:39 2023 3 relations: 1465281
  158. Tue May 16 16:06:39 2023 4 relations: 1450103
  159. Tue May 16 16:06:39 2023 5 relations: 1446453
  160. Tue May 16 16:06:39 2023 6 relations: 1398560
  161. Tue May 16 16:06:39 2023 7 relations: 1356433
  162. Tue May 16 16:06:39 2023 8 relations: 1287311
  163. Tue May 16 16:06:39 2023 9 relations: 1217044
  164. Tue May 16 16:06:39 2023 10+ relations: 7753881
  165. Tue May 16 16:06:39 2023 heaviest cycle: 28 relations
  166. Tue May 16 16:06:44 2023 commencing cycle optimization
  167. Tue May 16 16:07:27 2023 start with 173157153 relations
  168. Tue May 16 16:13:51 2023 pruned 7324155 relations
  169. Tue May 16 16:13:52 2023 memory use: 4672.8 MB
  170. Tue May 16 16:13:52 2023 distribution of cycle lengths:
  171. Tue May 16 16:13:52 2023 1 relations: 1208527
  172. Tue May 16 16:13:52 2023 2 relations: 1403284
  173. Tue May 16 16:13:52 2023 3 relations: 1522615
  174. Tue May 16 16:13:52 2023 4 relations: 1504338
  175. Tue May 16 16:13:52 2023 5 relations: 1510271
  176. Tue May 16 16:13:52 2023 6 relations: 1457507
  177. Tue May 16 16:13:52 2023 7 relations: 1418199
  178. Tue May 16 16:13:52 2023 8 relations: 1342266
  179. Tue May 16 16:13:52 2023 9 relations: 1264618
  180. Tue May 16 16:13:52 2023 10+ relations: 7323896
  181. Tue May 16 16:13:52 2023 heaviest cycle: 28 relations
  182. Tue May 16 16:14:21 2023 RelProcTime: 4801
  183. Tue May 16 16:14:21 2023
  184. Tue May 16 16:14:21 2023 commencing linear algebra
  185. Tue May 16 16:14:21 2023 using VBITS=256
  186. Tue May 16 16:14:23 2023 read 19955521 cycles
  187. Tue May 16 16:15:02 2023 cycles contain 69320234 unique relations
  188. Tue May 16 16:16:53 2023 read 69320234 relations
  189. Tue May 16 16:17:05 2023 using 20 quadratic characters above 4294917295
  190. Tue May 16 16:17:19 2023 building initial matrix
  191. Tue May 16 16:31:30 2023 memory use: 8651.3 MB
  192. Tue May 16 16:31:38 2023 read 19955521 cycles
  193. Tue May 16 16:31:41 2023 matrix is 19955344 x 19955521 (9457.4 MB) with weight 2698582088 (135.23/col)
  194. Tue May 16 16:31:41 2023 sparse part has weight 2259680424 (113.24/col)
  195. Tue May 16 16:35:14 2023 filtering completed in 2 passes
  196. Tue May 16 16:35:18 2023 matrix is 19954919 x 19955094 (9457.3 MB) with weight 2698567259 (135.23/col)
  197. Tue May 16 16:35:18 2023 sparse part has weight 2259675564 (113.24/col)
  198. Tue May 16 16:36:06 2023 matrix starts at (0, 0)
  199. Tue May 16 16:36:09 2023 matrix is 19954919 x 19955094 (9457.3 MB) with weight 2698567259 (135.23/col)
  200. Tue May 16 16:36:09 2023 sparse part has weight 2259675564 (113.24/col)
  201. Tue May 16 16:36:09 2023 saving the first 240 matrix rows for later
  202. Tue May 16 16:36:13 2023 matrix includes 256 packed rows
  203. Tue May 16 16:36:21 2023 matrix is 19954679 x 19955094 (8763.7 MB) with weight 2074383995 (103.95/col)
  204. Tue May 16 16:36:21 2023 sparse part has weight 1978069379 (99.13/col)
  205. Tue May 16 16:36:21 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  206. Tue May 16 16:36:21 2023 selected card has CUDA arch 8.6
  207. Tue May 16 16:37:57 2023 commencing Lanczos iteration
  208. Tue May 16 16:37:58 2023 memory use: 20267.8 MB
  209. Tue May 16 16:39:03 2023 linear algebra at 0.2%, ETA 11h34m
  210. Tue May 16 16:40:38 2023 checking every 20000 dimensions, checkpointing every 1740000 dimensions
  211. Wed May 17 04:08:53 2023 lanczos halted after 78183 iterations (dim = 19954678)
  212. Wed May 17 04:10:21 2023 recovered 42 nontrivial dependencies
  213. Wed May 17 04:10:21 2023 BLanczosTime: 42960
  214. Wed May 17 04:10:21 2023
  215. Wed May 17 04:10:21 2023 commencing square root phase
  216. Wed May 17 04:10:21 2023 handling dependencies 1 to 64
  217. Wed May 17 04:10:21 2023 reading relations for dependency 1
  218. Wed May 17 04:10:24 2023 read 9976792 cycles
  219. Wed May 17 04:10:43 2023 cycles contain 34669092 unique relations
  220. Wed May 17 04:12:01 2023 read 34669092 relations
  221. Wed May 17 04:14:38 2023 multiplying 34669092 relations
  222. Wed May 17 04:28:06 2023 multiply complete, coefficients have about 1016.75 million bits
  223. Wed May 17 04:28:08 2023 initial square root is modulo 1323651391
  224. Wed May 17 04:36:40 2023 GCD is 1, no factor found
  225. Wed May 17 04:36:40 2023 reading relations for dependency 2
  226. Wed May 17 04:36:42 2023 read 9981354 cycles
  227. Wed May 17 04:37:02 2023 cycles contain 34671246 unique relations
  228. Wed May 17 04:38:24 2023 read 34671246 relations
  229. Wed May 17 04:41:04 2023 multiplying 34671246 relations
  230. Wed May 17 04:54:36 2023 multiply complete, coefficients have about 1016.81 million bits
  231. Wed May 17 04:54:38 2023 initial square root is modulo 1325101651
  232. Wed May 17 05:03:24 2023 sqrtTime: 3183
  233. Wed May 17 05:03:24 2023 p102 factor: 678692116947350456933193053493391555033136586543567597219184723318128383637985163385485410237783125901
  234. Wed May 17 05:03:24 2023 p114 factor: 230212229114491730333932143939715632843930126073546704670948511896636372827472543600984298235949715994196034075161
  235. Wed May 17 05:03:24 2023 elapsed time 14:09:04
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