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Apr 2nd, 2023
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  1. Sat Apr 1 15:52:55 2023 Msieve v. 1.54 (SVN 03e8738)
  2. Sat Apr 1 15:52:55 2023 random seeds: 068151c9 09857767
  3. Sat Apr 1 15:52:55 2023 Using 16 OpenMP threads
  4. Sat Apr 1 15:52:55 2023 factoring 56640287762738400206947454068025771571383582304583804644705996557790237001440806048829192751159727602439538475750016685012763577946311169379249195417073934049896054383311100228524746982726443204937393647075622959089 (215 digits)
  5. Sat Apr 1 15:52:55 2023 no P-1/P+1/ECM available, skipping
  6. Sat Apr 1 15:52:55 2023 commencing number field sieve (215-digit input)
  7. Sat Apr 1 15:52:55 2023 R0: 706965049015104706497203195837614914543357369
  8. Sat Apr 1 15:52:55 2023 R1: -140737488355328
  9. Sat Apr 1 15:52:55 2023 A0: -9
  10. Sat Apr 1 15:52:55 2023 A1: 0
  11. Sat Apr 1 15:52:55 2023 A2: 0
  12. Sat Apr 1 15:52:55 2023 A3: 0
  13. Sat Apr 1 15:52:55 2023 A4: 0
  14. Sat Apr 1 15:52:55 2023 A5: 0
  15. Sat Apr 1 15:52:55 2023 A6: 2
  16. Sat Apr 1 15:52:55 2023 skew 1.28, size 3.536e-13, alpha 0.938, combined = 5.191e-14 rroots = 2
  17. Sat Apr 1 15:52:55 2023
  18. Sat Apr 1 15:52:55 2023 commencing relation filtering
  19. Sat Apr 1 15:52:55 2023 setting target matrix density to 110.0
  20. Sat Apr 1 15:52:55 2023 estimated available RAM is 64238.6 MB
  21. Sat Apr 1 15:52:55 2023 commencing duplicate removal, pass 1
  22. Sat Apr 1 15:54:13 2023 error -15 reading relation 125501517
  23. Sat Apr 1 15:55:39 2023 error -15 reading relation 264201159
  24. Sat Apr 1 15:55:39 2023 error -11 reading relation 264201685
  25. Sat Apr 1 15:55:39 2023 error -11 reading relation 264202491
  26. Sat Apr 1 15:55:39 2023 error -15 reading relation 264203018
  27. Sat Apr 1 15:55:39 2023 error -11 reading relation 264203550
  28. Sat Apr 1 15:55:39 2023 error -15 reading relation 264203880
  29. Sat Apr 1 15:55:39 2023 error -11 reading relation 264204325
  30. Sat Apr 1 15:55:39 2023 error -11 reading relation 264204375
  31. Sat Apr 1 15:55:39 2023 error -11 reading relation 264204432
  32. Sat Apr 1 15:55:39 2023 error -15 reading relation 264204847
  33. Sat Apr 1 15:55:39 2023 error -11 reading relation 264205412
  34. Sat Apr 1 15:55:39 2023 error -1 reading relation 264205800
  35. Sat Apr 1 15:55:39 2023 error -11 reading relation 264205899
  36. Sat Apr 1 15:55:39 2023 error -11 reading relation 264205955
  37. Sat Apr 1 15:55:39 2023 error -11 reading relation 264206305
  38. Sat Apr 1 15:55:39 2023 error -15 reading relation 264206461
  39. Sat Apr 1 15:55:39 2023 error -1 reading relation 264206731
  40. Sat Apr 1 15:55:39 2023 error -11 reading relation 264207839
  41. Sat Apr 1 15:55:39 2023 error -1 reading relation 264208290
  42. Sat Apr 1 15:55:39 2023 error -11 reading relation 264208412
  43. Sat Apr 1 15:55:39 2023 error -15 reading relation 264208780
  44. Sat Apr 1 15:55:39 2023 error -15 reading relation 264208823
  45. Sat Apr 1 15:55:39 2023 error -15 reading relation 264210375
  46. Sat Apr 1 15:55:39 2023 error -15 reading relation 264441561
  47. Sat Apr 1 15:55:54 2023 skipped 900 relations with b > 2^32
  48. Sat Apr 1 15:55:54 2023 skipped 2 malformed relations
  49. Sat Apr 1 15:55:54 2023 found 17727649 hash collisions in 288262155 relations
  50. Sat Apr 1 15:56:02 2023 added 1218996 free relations
  51. Sat Apr 1 15:56:02 2023 commencing duplicate removal, pass 2
  52. Sat Apr 1 15:56:52 2023 found 0 duplicates and 289481151 unique relations
  53. Sat Apr 1 15:56:52 2023 memory use: 852.8 MB
  54. Sat Apr 1 15:56:52 2023 reading ideals above 720000
  55. Sat Apr 1 15:56:52 2023 commencing singleton removal, initial pass
  56. Sat Apr 1 16:05:10 2023 memory use: 6024.0 MB
  57. Sat Apr 1 16:05:11 2023 reading all ideals from disk
  58. Sat Apr 1 16:05:13 2023 memory use: 14365.9 MB
  59. Sat Apr 1 16:05:27 2023 keeping 264551493 ideals with weight <= 200, target excess is 1489788
  60. Sat Apr 1 16:05:45 2023 commencing in-memory singleton removal
  61. Sat Apr 1 16:05:51 2023 begin with 289481151 relations and 264551493 unique ideals
  62. Sat Apr 1 16:06:28 2023 reduce to 209725562 relations and 180259787 ideals in 16 passes
  63. Sat Apr 1 16:06:28 2023 max relations containing the same ideal: 173
  64. Sat Apr 1 16:07:08 2023 removing 14834807 relations and 12834807 ideals in 2000000 cliques
  65. Sat Apr 1 16:07:11 2023 commencing in-memory singleton removal
  66. Sat Apr 1 16:07:15 2023 begin with 194890755 relations and 180259787 unique ideals
  67. Sat Apr 1 16:07:32 2023 reduce to 194025653 relations and 166548438 ideals in 9 passes
  68. Sat Apr 1 16:07:32 2023 max relations containing the same ideal: 163
  69. Sat Apr 1 16:08:08 2023 removing 11119349 relations and 9119349 ideals in 2000000 cliques
  70. Sat Apr 1 16:08:11 2023 commencing in-memory singleton removal
  71. Sat Apr 1 16:08:14 2023 begin with 182906304 relations and 166548438 unique ideals
  72. Sat Apr 1 16:08:29 2023 reduce to 182361856 relations and 156878451 ideals in 8 passes
  73. Sat Apr 1 16:08:29 2023 max relations containing the same ideal: 158
  74. Sat Apr 1 16:09:01 2023 removing 9968125 relations and 7968125 ideals in 2000000 cliques
  75. Sat Apr 1 16:09:05 2023 commencing in-memory singleton removal
  76. Sat Apr 1 16:09:08 2023 begin with 172393731 relations and 156878451 unique ideals
  77. Sat Apr 1 16:09:21 2023 reduce to 171925881 relations and 148437380 ideals in 8 passes
  78. Sat Apr 1 16:09:21 2023 max relations containing the same ideal: 151
  79. Sat Apr 1 16:09:52 2023 removing 9358679 relations and 7358679 ideals in 2000000 cliques
  80. Sat Apr 1 16:09:55 2023 commencing in-memory singleton removal
  81. Sat Apr 1 16:09:58 2023 begin with 162567202 relations and 148437380 unique ideals
  82. Sat Apr 1 16:10:11 2023 reduce to 162130194 relations and 140636857 ideals in 8 passes
  83. Sat Apr 1 16:10:11 2023 max relations containing the same ideal: 148
  84. Sat Apr 1 16:10:40 2023 removing 8972687 relations and 6972687 ideals in 2000000 cliques
  85. Sat Apr 1 16:10:43 2023 commencing in-memory singleton removal
  86. Sat Apr 1 16:10:46 2023 begin with 153157507 relations and 140636857 unique ideals
  87. Sat Apr 1 16:10:58 2023 reduce to 152735561 relations and 133237334 ideals in 8 passes
  88. Sat Apr 1 16:10:58 2023 max relations containing the same ideal: 140
  89. Sat Apr 1 16:11:26 2023 removing 8712818 relations and 6712818 ideals in 2000000 cliques
  90. Sat Apr 1 16:11:28 2023 commencing in-memory singleton removal
  91. Sat Apr 1 16:11:31 2023 begin with 144022743 relations and 133237334 unique ideals
  92. Sat Apr 1 16:11:42 2023 reduce to 143601523 relations and 126098237 ideals in 8 passes
  93. Sat Apr 1 16:11:42 2023 max relations containing the same ideal: 134
  94. Sat Apr 1 16:12:09 2023 removing 8532290 relations and 6532290 ideals in 2000000 cliques
  95. Sat Apr 1 16:12:11 2023 commencing in-memory singleton removal
  96. Sat Apr 1 16:12:14 2023 begin with 135069233 relations and 126098237 unique ideals
  97. Sat Apr 1 16:12:23 2023 reduce to 134641495 relations and 119132842 ideals in 7 passes
  98. Sat Apr 1 16:12:23 2023 max relations containing the same ideal: 128
  99. Sat Apr 1 16:12:48 2023 removing 8417078 relations and 6417078 ideals in 2000000 cliques
  100. Sat Apr 1 16:12:50 2023 commencing in-memory singleton removal
  101. Sat Apr 1 16:12:53 2023 begin with 126224417 relations and 119132842 unique ideals
  102. Sat Apr 1 16:13:01 2023 reduce to 125784803 relations and 112270287 ideals in 7 passes
  103. Sat Apr 1 16:13:01 2023 max relations containing the same ideal: 120
  104. Sat Apr 1 16:13:25 2023 removing 8338621 relations and 6338621 ideals in 2000000 cliques
  105. Sat Apr 1 16:13:27 2023 commencing in-memory singleton removal
  106. Sat Apr 1 16:13:29 2023 begin with 117446182 relations and 112270287 unique ideals
  107. Sat Apr 1 16:13:37 2023 reduce to 116986032 relations and 105465043 ideals in 7 passes
  108. Sat Apr 1 16:13:37 2023 max relations containing the same ideal: 114
  109. Sat Apr 1 16:13:59 2023 removing 8300480 relations and 6300480 ideals in 2000000 cliques
  110. Sat Apr 1 16:14:02 2023 commencing in-memory singleton removal
  111. Sat Apr 1 16:14:03 2023 begin with 108685552 relations and 105465043 unique ideals
  112. Sat Apr 1 16:14:12 2023 reduce to 108197179 relations and 98668839 ideals in 8 passes
  113. Sat Apr 1 16:14:12 2023 max relations containing the same ideal: 110
  114. Sat Apr 1 16:14:32 2023 removing 8291802 relations and 6291802 ideals in 2000000 cliques
  115. Sat Apr 1 16:14:35 2023 commencing in-memory singleton removal
  116. Sat Apr 1 16:14:36 2023 begin with 99905377 relations and 98668839 unique ideals
  117. Sat Apr 1 16:14:44 2023 reduce to 99383108 relations and 91846354 ideals in 8 passes
  118. Sat Apr 1 16:14:44 2023 max relations containing the same ideal: 104
  119. Sat Apr 1 16:15:03 2023 removing 8311987 relations and 6311987 ideals in 2000000 cliques
  120. Sat Apr 1 16:15:05 2023 commencing in-memory singleton removal
  121. Sat Apr 1 16:15:07 2023 begin with 91071121 relations and 91846354 unique ideals
  122. Sat Apr 1 16:15:13 2023 reduce to 90502153 relations and 84955445 ideals in 8 passes
  123. Sat Apr 1 16:15:13 2023 max relations containing the same ideal: 97
  124. Sat Apr 1 16:15:31 2023 removing 8365303 relations and 6365303 ideals in 2000000 cliques
  125. Sat Apr 1 16:15:33 2023 commencing in-memory singleton removal
  126. Sat Apr 1 16:15:35 2023 begin with 82136850 relations and 84955445 unique ideals
  127. Sat Apr 1 16:15:41 2023 reduce to 81500302 relations and 77941733 ideals in 8 passes
  128. Sat Apr 1 16:15:41 2023 max relations containing the same ideal: 91
  129. Sat Apr 1 16:15:57 2023 removing 7872349 relations and 6041935 ideals in 1830414 cliques
  130. Sat Apr 1 16:15:59 2023 commencing in-memory singleton removal
  131. Sat Apr 1 16:16:00 2023 begin with 73627953 relations and 77941733 unique ideals
  132. Sat Apr 1 16:16:05 2023 reduce to 73007396 relations and 71267264 ideals in 8 passes
  133. Sat Apr 1 16:16:05 2023 max relations containing the same ideal: 84
  134. Sat Apr 1 16:16:20 2023 removing 113745 relations and 101768 ideals in 11977 cliques
  135. Sat Apr 1 16:16:21 2023 commencing in-memory singleton removal
  136. Sat Apr 1 16:16:22 2023 begin with 72893651 relations and 71267264 unique ideals
  137. Sat Apr 1 16:16:26 2023 reduce to 72893514 relations and 71165359 ideals in 5 passes
  138. Sat Apr 1 16:16:26 2023 max relations containing the same ideal: 84
  139. Sat Apr 1 16:16:32 2023 relations with 0 large ideals: 56923
  140. Sat Apr 1 16:16:32 2023 relations with 1 large ideals: 23839
  141. Sat Apr 1 16:16:32 2023 relations with 2 large ideals: 314080
  142. Sat Apr 1 16:16:32 2023 relations with 3 large ideals: 2015608
  143. Sat Apr 1 16:16:32 2023 relations with 4 large ideals: 7059658
  144. Sat Apr 1 16:16:32 2023 relations with 5 large ideals: 14825320
  145. Sat Apr 1 16:16:32 2023 relations with 6 large ideals: 19475950
  146. Sat Apr 1 16:16:32 2023 relations with 7+ large ideals: 29122136
  147. Sat Apr 1 16:16:32 2023 commencing 2-way merge
  148. Sat Apr 1 16:16:55 2023 reduce to 45295473 relation sets and 43567318 unique ideals
  149. Sat Apr 1 16:16:55 2023 commencing full merge
  150. Sat Apr 1 16:26:59 2023 memory use: 5716.8 MB
  151. Sat Apr 1 16:27:02 2023 found 20868777 cycles, need 20741518
  152. Sat Apr 1 16:27:06 2023 weight of 20741518 cycles is about 2281656426 (110.00/cycle)
  153. Sat Apr 1 16:27:06 2023 distribution of cycle lengths:
  154. Sat Apr 1 16:27:06 2023 1 relations: 1692505
  155. Sat Apr 1 16:27:06 2023 2 relations: 1672815
  156. Sat Apr 1 16:27:06 2023 3 relations: 1669403
  157. Sat Apr 1 16:27:06 2023 4 relations: 1596237
  158. Sat Apr 1 16:27:06 2023 5 relations: 1543458
  159. Sat Apr 1 16:27:06 2023 6 relations: 1487448
  160. Sat Apr 1 16:27:06 2023 7 relations: 1405882
  161. Sat Apr 1 16:27:06 2023 8 relations: 1325775
  162. Sat Apr 1 16:27:06 2023 9 relations: 1224773
  163. Sat Apr 1 16:27:06 2023 10+ relations: 7123222
  164. Sat Apr 1 16:27:06 2023 heaviest cycle: 28 relations
  165. Sat Apr 1 16:27:09 2023 commencing cycle optimization
  166. Sat Apr 1 16:27:35 2023 start with 165335616 relations
  167. Sat Apr 1 16:30:47 2023 pruned 6179073 relations
  168. Sat Apr 1 16:30:47 2023 memory use: 4677.5 MB
  169. Sat Apr 1 16:30:47 2023 distribution of cycle lengths:
  170. Sat Apr 1 16:30:47 2023 1 relations: 1692505
  171. Sat Apr 1 16:30:47 2023 2 relations: 1709541
  172. Sat Apr 1 16:30:47 2023 3 relations: 1731342
  173. Sat Apr 1 16:30:47 2023 4 relations: 1650259
  174. Sat Apr 1 16:30:47 2023 5 relations: 1606146
  175. Sat Apr 1 16:30:47 2023 6 relations: 1541756
  176. Sat Apr 1 16:30:47 2023 7 relations: 1460094
  177. Sat Apr 1 16:30:47 2023 8 relations: 1368854
  178. Sat Apr 1 16:30:47 2023 9 relations: 1263805
  179. Sat Apr 1 16:30:47 2023 10+ relations: 6717216
  180. Sat Apr 1 16:30:47 2023 heaviest cycle: 28 relations
  181. Sat Apr 1 16:31:09 2023 RelProcTime: 2294
  182. Sat Apr 1 16:31:09 2023
  183. Sat Apr 1 16:31:09 2023 commencing linear algebra
  184. Sat Apr 1 16:31:09 2023 using VBITS=256
  185. Sat Apr 1 16:31:10 2023 read 20741518 cycles
  186. Sat Apr 1 16:31:34 2023 cycles contain 71724557 unique relations
  187. Sat Apr 1 16:32:08 2023 read 71724557 relations
  188. Sat Apr 1 16:32:18 2023 using 20 quadratic characters above 4294917295
  189. Sat Apr 1 16:32:29 2023 building initial matrix
  190. Sat Apr 1 16:40:14 2023 memory use: 9294.1 MB
  191. Sat Apr 1 16:40:19 2023 read 20741518 cycles
  192. Sat Apr 1 16:40:21 2023 matrix is 20741340 x 20741518 (9084.5 MB) with weight 2605714968 (125.63/col)
  193. Sat Apr 1 16:40:21 2023 sparse part has weight 2153281693 (103.82/col)
  194. Sat Apr 1 16:42:16 2023 filtering completed in 2 passes
  195. Sat Apr 1 16:42:18 2023 matrix is 20739299 x 20739471 (9084.3 MB) with weight 2605642478 (125.64/col)
  196. Sat Apr 1 16:42:18 2023 sparse part has weight 2153256103 (103.82/col)
  197. Sat Apr 1 16:42:45 2023 matrix starts at (0, 0)
  198. Sat Apr 1 16:42:47 2023 matrix is 20739299 x 20739471 (9084.3 MB) with weight 2605642478 (125.64/col)
  199. Sat Apr 1 16:42:47 2023 sparse part has weight 2153256103 (103.82/col)
  200. Sat Apr 1 16:42:47 2023 saving the first 240 matrix rows for later
  201. Sat Apr 1 16:42:49 2023 matrix includes 256 packed rows
  202. Sat Apr 1 16:42:54 2023 matrix is 20739059 x 20739471 (8454.3 MB) with weight 1980597648 (95.50/col)
  203. Sat Apr 1 16:42:54 2023 sparse part has weight 1884409323 (90.86/col)
  204. Sat Apr 1 16:42:54 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  205. Sat Apr 1 16:42:54 2023 selected card has CUDA arch 8.6
  206. Sat Apr 1 16:44:13 2023 commencing Lanczos iteration
  207. Sat Apr 1 16:44:13 2023 memory use: 19756.7 MB
  208. Sat Apr 1 16:45:16 2023 linear algebra at 0.1%, ETA 11h38m
  209. Sat Apr 1 16:46:48 2023 checking every 20000 dimensions, checkpointing every 1800000 dimensions
  210. Sun Apr 2 04:17:20 2023 lanczos halted after 81255 iterations (dim = 20739057)
  211. Sun Apr 2 04:18:37 2023 recovered 38 nontrivial dependencies
  212. Sun Apr 2 04:18:38 2023 BLanczosTime: 42449
  213. Sun Apr 2 04:18:38 2023
  214. Sun Apr 2 04:18:38 2023 commencing square root phase
  215. Sun Apr 2 04:18:38 2023 handling dependencies 1 to 64
  216. Sun Apr 2 04:18:38 2023 reading relations for dependency 1
  217. Sun Apr 2 04:18:52 2023 read 10369487 cycles
  218. Sun Apr 2 04:19:13 2023 cycles contain 35865178 unique relations
  219. Sun Apr 2 04:20:56 2023 read 35865178 relations
  220. Sun Apr 2 04:23:38 2023 multiplying 35865178 relations
  221. Sun Apr 2 04:37:41 2023 multiply complete, coefficients have about 980.39 million bits
  222. Sun Apr 2 04:37:44 2023 initial square root is modulo 624470389
  223. Sun Apr 2 04:46:54 2023 sqrtTime: 1696
  224. Sun Apr 2 04:46:54 2023 p67 factor: 1705611416054870806303962851857346259980991573774815935773557209823
  225. Sun Apr 2 04:46:54 2023 p149 factor: 33208201604178427596207899158051499457211070696205207337020811457920835517172748498126175815599420236557200684462340459627246425439401406943247152943
  226. Sun Apr 2 04:46:54 2023 elapsed time 12:53:59
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