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8p5_304

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  1. Wed Apr 08 19:40:08 2020  
  2. Wed Apr 08 19:40:08 2020  
  3. Wed Apr 08 19:40:08 2020  Msieve v. 1.52 (SVN unknown)
  4. Wed Apr 08 19:40:08 2020  random seeds: 744af940 51225afb
  5. Wed Apr 08 19:40:08 2020  factoring 1014856360567564243741224078803598297153037959420358132851400804157473118882690350485026574719724320555986134498981428590602340210987505704051133134422227790716039758433 (169 digits)
  6. Wed Apr 08 19:40:10 2020  no P-1/P+1/ECM available, skipping
  7. Wed Apr 08 19:40:10 2020  commencing number field sieve (169-digit input)
  8. Wed Apr 08 19:40:10 2020  R0: -249644182411463547134209703866415
  9. Wed Apr 08 19:40:10 2020  R1: 1396476628159657
  10. Wed Apr 08 19:40:10 2020  A0: 29713610351211362755776069875787015083304
  11. Wed Apr 08 19:40:10 2020  A1: 4012324422950163136158154074202272
  12. Wed Apr 08 19:40:10 2020  A2: -1263393849426678735849199668
  13. Wed Apr 08 19:40:10 2020  A3: -639897471289821131173
  14. Wed Apr 08 19:40:10 2020  A4: 3978020942008
  15. Wed Apr 08 19:40:10 2020  A5: 1046640
  16. Wed Apr 08 19:40:10 2020  skew 12241832.25, size 1.969e-016, alpha -7.454, combined = 4.314e-013 rroots = 3
  17. Wed Apr 08 19:40:10 2020  
  18. Wed Apr 08 19:40:10 2020  commencing relation filtering
  19. Wed Apr 08 19:40:10 2020  setting target matrix density to 120.0
  20. Wed Apr 08 19:40:10 2020  estimated available RAM is 16316.6 MB
  21. Wed Apr 08 19:40:10 2020  commencing duplicate removal, pass 1
  22. Wed Apr 08 19:42:02 2020  error -5 reading relation 3617515
  23. Wed Apr 08 19:42:13 2020  error -15 reading relation 4099162
  24. Wed Apr 08 19:42:16 2020  error -15 reading relation 4417710
  25. Wed Apr 08 19:43:59 2020  error -9 reading relation 10001353
  26. Wed Apr 08 19:43:59 2020  error -9 reading relation 10004925
  27. Wed Apr 08 19:44:53 2020  error -9 reading relation 11714094
  28. Wed Apr 08 19:44:53 2020  error -9 reading relation 11715996
  29. Wed Apr 08 19:45:07 2020  error -15 reading relation 12168420
  30. Wed Apr 08 21:08:17 2020  error -9 reading relation 240457823
  31. Wed Apr 08 21:08:18 2020  error -9 reading relation 240486670
  32. Wed Apr 08 21:08:18 2020  skipped 26 relations with b > 2^32
  33. Wed Apr 08 21:08:18 2020  found 48150247 hash collisions in 240473433 relations
  34. Wed Apr 08 21:10:41 2020  added 122529 free relations
  35. Wed Apr 08 21:10:41 2020  commencing duplicate removal, pass 2
  36. Wed Apr 08 21:26:02 2020  found 47768283 duplicates and 192827679 unique relations
  37. Wed Apr 08 21:26:02 2020  memory use: 1321.5 MB
  38. Wed Apr 08 21:26:02 2020  reading ideals above 144900096
  39. Wed Apr 08 21:26:02 2020  commencing singleton removal, initial pass
  40. Wed Apr 08 22:47:18 2020  memory use: 3012.0 MB
  41. Wed Apr 08 22:47:18 2020  reading all ideals from disk
  42. Wed Apr 08 22:47:57 2020  memory use: 3297.3 MB
  43. Wed Apr 08 22:48:14 2020  commencing in-memory singleton removal
  44. Wed Apr 08 22:48:32 2020  begin with 192827679 relations and 159330072 unique ideals
  45. Wed Apr 08 22:51:25 2020  reduce to 124973023 relations and 84444556 ideals in 15 passes
  46. Wed Apr 08 22:51:25 2020  max relations containing the same ideal: 44
  47. Wed Apr 08 22:51:35 2020  reading ideals above 720000
  48. Wed Apr 08 22:51:35 2020  commencing singleton removal, initial pass
  49. Wed Apr 08 23:51:53 2020  memory use: 2756.0 MB
  50. Wed Apr 08 23:51:53 2020  reading all ideals from disk
  51. Wed Apr 08 23:52:58 2020  memory use: 4845.8 MB
  52. Wed Apr 08 23:53:31 2020  keeping 100146399 ideals with weight <= 200, target excess is 639995
  53. Wed Apr 08 23:54:13 2020  commencing in-memory singleton removal
  54. Wed Apr 08 23:54:40 2020  begin with 124973023 relations and 100146399 unique ideals
  55. Wed Apr 08 23:57:59 2020  reduce to 124958708 relations and 100132083 ideals in 9 passes
  56. Wed Apr 08 23:57:59 2020  max relations containing the same ideal: 200
  57. Wed Apr 08 23:59:43 2020  removing 10973292 relations and 8973292 ideals in 2000000 cliques
  58. Wed Apr 08 23:59:52 2020  commencing in-memory singleton removal
  59. Thu Apr 09 00:00:17 2020  begin with 113985416 relations and 100132083 unique ideals
  60. Thu Apr 09 00:04:39 2020  reduce to 113211361 relations and 90368520 ideals in 8 passes
  61. Thu Apr 09 00:04:39 2020  max relations containing the same ideal: 198
  62. Thu Apr 09 00:05:35 2020  removing 8356876 relations and 6356876 ideals in 2000000 cliques
  63. Thu Apr 09 00:05:38 2020  commencing in-memory singleton removal
  64. Thu Apr 09 00:05:46 2020  begin with 104854485 relations and 90368520 unique ideals
  65. Thu Apr 09 00:07:26 2020  reduce to 104343563 relations and 83491295 ideals in 8 passes
  66. Thu Apr 09 00:07:26 2020  max relations containing the same ideal: 190
  67. Thu Apr 09 00:08:24 2020  removing 7581262 relations and 5581262 ideals in 2000000 cliques
  68. Thu Apr 09 00:08:27 2020  commencing in-memory singleton removal
  69. Thu Apr 09 00:08:47 2020  begin with 96762301 relations and 83491295 unique ideals
  70. Thu Apr 09 00:12:41 2020  reduce to 96313588 relations and 77453065 ideals in 8 passes
  71. Thu Apr 09 00:12:41 2020  max relations containing the same ideal: 183
  72. Thu Apr 09 00:13:31 2020  removing 7184758 relations and 5184758 ideals in 2000000 cliques
  73. Thu Apr 09 00:13:33 2020  commencing in-memory singleton removal
  74. Thu Apr 09 00:13:40 2020  begin with 89128830 relations and 77453065 unique ideals
  75. Thu Apr 09 00:14:38 2020  reduce to 88704977 relations and 71836015 ideals in 7 passes
  76. Thu Apr 09 00:14:38 2020  max relations containing the same ideal: 171
  77. Thu Apr 09 00:16:24 2020  removing 6944842 relations and 4944842 ideals in 2000000 cliques
  78. Thu Apr 09 00:16:30 2020  commencing in-memory singleton removal
  79. Thu Apr 09 00:16:47 2020  begin with 81760135 relations and 71836015 unique ideals
  80. Thu Apr 09 00:19:44 2020  reduce to 81339895 relations and 66462173 ideals in 7 passes
  81. Thu Apr 09 00:19:44 2020  max relations containing the same ideal: 164
  82. Thu Apr 09 00:20:54 2020  removing 6788771 relations and 4788771 ideals in 2000000 cliques
  83. Thu Apr 09 00:20:57 2020  commencing in-memory singleton removal
  84. Thu Apr 09 00:21:04 2020  begin with 74551124 relations and 66462173 unique ideals
  85. Thu Apr 09 00:21:50 2020  reduce to 74127118 relations and 61240109 ideals in 7 passes
  86. Thu Apr 09 00:21:50 2020  max relations containing the same ideal: 162
  87. Thu Apr 09 00:22:25 2020  removing 6683947 relations and 4683947 ideals in 2000000 cliques
  88. Thu Apr 09 00:22:27 2020  commencing in-memory singleton removal
  89. Thu Apr 09 00:22:32 2020  begin with 67443171 relations and 61240109 unique ideals
  90. Thu Apr 09 00:23:37 2020  reduce to 67005186 relations and 56107865 ideals in 7 passes
  91. Thu Apr 09 00:23:37 2020  max relations containing the same ideal: 151
  92. Thu Apr 09 00:24:59 2020  removing 6612813 relations and 4612813 ideals in 2000000 cliques
  93. Thu Apr 09 00:25:04 2020  commencing in-memory singleton removal
  94. Thu Apr 09 00:25:17 2020  begin with 60392373 relations and 56107865 unique ideals
  95. Thu Apr 09 00:27:28 2020  reduce to 59928213 relations and 51018872 ideals in 7 passes
  96. Thu Apr 09 00:27:28 2020  max relations containing the same ideal: 138
  97. Thu Apr 09 00:28:42 2020  removing 6569966 relations and 4569966 ideals in 2000000 cliques
  98. Thu Apr 09 00:28:44 2020  commencing in-memory singleton removal
  99. Thu Apr 09 00:28:49 2020  begin with 53358247 relations and 51018872 unique ideals
  100. Thu Apr 09 00:29:37 2020  reduce to 52855723 relations and 45931969 ideals in 7 passes
  101. Thu Apr 09 00:29:37 2020  max relations containing the same ideal: 124
  102. Thu Apr 09 00:30:03 2020  removing 6552714 relations and 4552714 ideals in 2000000 cliques
  103. Thu Apr 09 00:30:05 2020  commencing in-memory singleton removal
  104. Thu Apr 09 00:30:08 2020  begin with 46303009 relations and 45931969 unique ideals
  105. Thu Apr 09 00:30:53 2020  reduce to 45750188 relations and 40808819 ideals in 7 passes
  106. Thu Apr 09 00:30:53 2020  max relations containing the same ideal: 112
  107. Thu Apr 09 00:31:51 2020  removing 6551246 relations and 4551246 ideals in 2000000 cliques
  108. Thu Apr 09 00:31:55 2020  commencing in-memory singleton removal
  109. Thu Apr 09 00:32:03 2020  begin with 39198942 relations and 40808819 unique ideals
  110. Thu Apr 09 00:33:33 2020  reduce to 38567786 relations and 35603052 ideals in 8 passes
  111. Thu Apr 09 00:33:33 2020  max relations containing the same ideal: 98
  112. Thu Apr 09 00:34:21 2020  removing 6571710 relations and 4571710 ideals in 2000000 cliques
  113. Thu Apr 09 00:34:25 2020  commencing in-memory singleton removal
  114. Thu Apr 09 00:34:31 2020  begin with 31996076 relations and 35603052 unique ideals
  115. Thu Apr 09 00:35:43 2020  reduce to 31236533 relations and 30238377 ideals in 8 passes
  116. Thu Apr 09 00:35:43 2020  max relations containing the same ideal: 86
  117. Thu Apr 09 00:36:24 2020  removing 1282657 relations and 1026896 ideals in 255761 cliques
  118. Thu Apr 09 00:36:25 2020  commencing in-memory singleton removal
  119. Thu Apr 09 00:36:28 2020  begin with 29953876 relations and 30238377 unique ideals
  120. Thu Apr 09 00:36:52 2020  reduce to 29920157 relations and 29177473 ideals in 6 passes
  121. Thu Apr 09 00:36:52 2020  max relations containing the same ideal: 84
  122. Thu Apr 09 00:37:13 2020  relations with 0 large ideals: 2025
  123. Thu Apr 09 00:37:13 2020  relations with 1 large ideals: 10303
  124. Thu Apr 09 00:37:13 2020  relations with 2 large ideals: 149889
  125. Thu Apr 09 00:37:13 2020  relations with 3 large ideals: 961880
  126. Thu Apr 09 00:37:13 2020  relations with 4 large ideals: 3277877
  127. Thu Apr 09 00:37:13 2020  relations with 5 large ideals: 6600856
  128. Thu Apr 09 00:37:13 2020  relations with 6 large ideals: 8266258
  129. Thu Apr 09 00:37:13 2020  relations with 7+ large ideals: 10651069
  130. Thu Apr 09 00:37:13 2020  commencing 2-way merge
  131. Thu Apr 09 00:37:31 2020  reduce to 19299393 relation sets and 18556709 unique ideals
  132. Thu Apr 09 00:37:31 2020  commencing full merge
  133. Thu Apr 09 00:52:40 2020  memory use: 2338.4 MB
  134. Thu Apr 09 00:52:47 2020  found 8747911 cycles, need 8686909
  135. Thu Apr 09 00:52:49 2020  weight of 8686909 cycles is about 1042699150 (120.03/cycle)
  136. Thu Apr 09 00:52:49 2020  distribution of cycle lengths:
  137. Thu Apr 09 00:52:49 2020  1 relations: 322620
  138. Thu Apr 09 00:52:49 2020  2 relations: 515326
  139. Thu Apr 09 00:52:49 2020  3 relations: 621377
  140. Thu Apr 09 00:52:49 2020  4 relations: 647541
  141. Thu Apr 09 00:52:49 2020  5 relations: 670477
  142. Thu Apr 09 00:52:49 2020  6 relations: 665219
  143. Thu Apr 09 00:52:49 2020  7 relations: 656036
  144. Thu Apr 09 00:52:49 2020  8 relations: 623508
  145. Thu Apr 09 00:52:49 2020  9 relations: 585311
  146. Thu Apr 09 00:52:49 2020  10+ relations: 3379494
  147. Thu Apr 09 00:52:49 2020  heaviest cycle: 28 relations
  148. Thu Apr 09 00:52:53 2020  commencing cycle optimization
  149. Thu Apr 09 00:53:21 2020  start with 75511522 relations
  150. Thu Apr 09 01:00:37 2020  pruned 3430386 relations
  151. Thu Apr 09 01:00:37 2020  memory use: 2019.0 MB
  152. Thu Apr 09 01:00:37 2020  distribution of cycle lengths:
  153. Thu Apr 09 01:00:37 2020  1 relations: 322620
  154. Thu Apr 09 01:00:37 2020  2 relations: 529923
  155. Thu Apr 09 01:00:37 2020  3 relations: 649524
  156. Thu Apr 09 01:00:37 2020  4 relations: 675694
  157. Thu Apr 09 01:00:37 2020  5 relations: 705348
  158. Thu Apr 09 01:00:37 2020  6 relations: 699021
  159. Thu Apr 09 01:00:37 2020  7 relations: 690093
  160. Thu Apr 09 01:00:37 2020  8 relations: 652807
  161. Thu Apr 09 01:00:37 2020  9 relations: 610902
  162. Thu Apr 09 01:00:37 2020  10+ relations: 3150977
  163. Thu Apr 09 01:00:37 2020  heaviest cycle: 27 relations
  164. Thu Apr 09 01:00:57 2020  RelProcTime: 19247
  165. Thu Apr 09 01:00:57 2020  
  166. Thu Apr 09 01:00:57 2020  commencing linear algebra
  167. Thu Apr 09 01:01:00 2020  read 8686909 cycles
  168. Thu Apr 09 01:01:20 2020  cycles contain 29535741 unique relations
  169. Thu Apr 09 01:15:39 2020  read 29535741 relations
  170. Thu Apr 09 01:17:38 2020  using 20 quadratic characters above 2147482922
  171. Thu Apr 09 01:20:59 2020  building initial matrix
  172. Thu Apr 09 01:35:09 2020  memory use: 4068.3 MB
  173. Thu Apr 09 01:35:20 2020  read 8686909 cycles
  174. Thu Apr 09 01:35:24 2020  matrix is 8686730 x 8686909 (4106.0 MB) with weight 1260613765 (145.12/col)
  175. Thu Apr 09 01:35:24 2020  sparse part has weight 972132424 (111.91/col)
  176. Thu Apr 09 01:37:37 2020  filtering completed in 2 passes
  177. Thu Apr 09 01:37:42 2020  matrix is 8686468 x 8686647 (4106.0 MB) with weight 1260600580 (145.12/col)
  178. Thu Apr 09 01:37:42 2020  sparse part has weight 972127890 (111.91/col)
  179. Thu Apr 09 01:38:56 2020  matrix starts at (0, 0)
  180. Thu Apr 09 01:39:05 2020  matrix is 8686468 x 8686647 (4106.0 MB) with weight 1260600580 (145.12/col)
  181. Thu Apr 09 01:39:05 2020  sparse part has weight 972127890 (111.91/col)
  182. Thu Apr 09 01:39:05 2020  saving the first 48 matrix rows for later
  183. Thu Apr 09 01:39:13 2020  matrix includes 64 packed rows
  184. Thu Apr 09 01:39:17 2020  matrix is 8686420 x 8686647 (4009.0 MB) with weight 1079555319 (124.28/col)
  185. Thu Apr 09 01:39:17 2020  sparse part has weight 964075421 (110.98/col)
  186. Thu Apr 09 01:39:18 2020  using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  187. Thu Apr 09 01:41:45 2020  commencing Lanczos iteration (4 threads)
  188. Thu Apr 09 01:41:45 2020  memory use: 3343.8 MB
  189. Thu Apr 09 01:43:36 2020  linear algebra at 0.0%, ETA 168h41m
  190. Thu Apr 09 01:44:06 2020  checkpointing every 60000 dimensions
  191. Thu Apr 16 17:58:02 2020  lanczos halted after 137366 iterations (dim = 8686419)
  192. Thu Apr 16 17:58:42 2020  recovered 31 nontrivial dependencies
  193. Thu Apr 16 17:58:55 2020  BLanczosTime: 665878
  194. Thu Apr 16 17:58:55 2020  
  195. Thu Apr 16 17:58:55 2020  commencing square root phase
  196. Thu Apr 16 17:58:55 2020  handling dependencies 1 to 64
  197. Thu Apr 16 17:58:55 2020  reading relations for dependency 1
  198. Thu Apr 16 17:58:58 2020  read 4344552 cycles
  199. Thu Apr 16 17:59:11 2020  cycles contain 14769282 unique relations
  200. Thu Apr 16 18:13:26 2020  read 14769282 relations
  201. Thu Apr 16 18:16:30 2020  multiplying 14769282 relations
  202. Thu Apr 16 19:01:51 2020  multiply complete, coefficients have about 840.73 million bits
  203. Thu Apr 16 19:02:01 2020  initial square root is modulo 34882717
  204. Thu Apr 16 20:05:43 2020  sqrtTime: 7608
  205. Thu Apr 16 20:05:43 2020  prp72 factor: 172070348339263931645025044836453709964861849603989945739900827422743137
  206. Thu Apr 16 20:05:43 2020  prp97 factor: 5897915418678727088356124806331288830698402489541050361360883832999436325924656732468951734724609
  207. Thu Apr 16 20:05:43 2020  elapsed time 192:25:35
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