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Jan 11th, 2021
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  1. Thu Jan 7 07:43:07 2021
  2. Thu Jan 7 07:43:07 2021
  3. Thu Jan 7 07:43:07 2021 Msieve v. 1.54 (SVN 1025)
  4. Thu Jan 7 07:43:07 2021 random seeds: 9332fb85 13246851
  5. Thu Jan 7 07:43:07 2021 factoring 2407391552029868551635530365173866206245599824001580529548776336059356063581258857129452662182101097335877346499361262731008287357003828059342095989981862512944894294011869657374955559024824818948931638328159275328593 (217 digits)
  6. Thu Jan 7 07:43:08 2021 searching for 15-digit factors
  7. Thu Jan 7 07:43:08 2021 commencing number field sieve (217-digit input)
  8. Thu Jan 7 07:43:08 2021 R0: 2909321189362570808630465826492242446680483
  9. Thu Jan 7 07:43:08 2021 R1: -17592186044416
  10. Thu Jan 7 07:43:08 2021 A0: 16
  11. Thu Jan 7 07:43:08 2021 A1: 0
  12. Thu Jan 7 07:43:08 2021 A2: 0
  13. Thu Jan 7 07:43:08 2021 A3: 0
  14. Thu Jan 7 07:43:08 2021 A4: 0
  15. Thu Jan 7 07:43:08 2021 A5: 0
  16. Thu Jan 7 07:43:08 2021 A6: 9
  17. Thu Jan 7 07:43:08 2021 skew 1.10, size 1.267e-12, alpha 0.492, combined = 1.395e-13 rroots = 0
  18. Thu Jan 7 07:43:08 2021
  19. Thu Jan 7 07:43:08 2021 commencing relation filtering
  20. Thu Jan 7 07:43:08 2021 setting target matrix density to 120.0
  21. Thu Jan 7 07:43:08 2021 estimated available RAM is 16007.4 MB
  22. Thu Jan 7 07:43:08 2021 commencing duplicate removal, pass 1
  23. Thu Jan 7 07:52:33 2021 error -15 reading relation 80908531
  24. Thu Jan 7 08:03:40 2021 error -15 reading relation 175684286
  25. Thu Jan 7 08:05:39 2021 skipped 514 relations with b > 2^32
  26. Thu Jan 7 08:05:39 2021 skipped 1 relations with composite factors
  27. Thu Jan 7 08:05:39 2021 found 8161405 hash collisions in 192839531 relations
  28. Thu Jan 7 08:05:53 2021 added 1218686 free relations
  29. Thu Jan 7 08:05:53 2021 commencing duplicate removal, pass 2
  30. Thu Jan 7 08:06:50 2021 found 0 duplicates and 194058217 unique relations
  31. Thu Jan 7 08:06:50 2021 memory use: 522.4 MB
  32. Thu Jan 7 08:06:50 2021 reading ideals above 149880832
  33. Thu Jan 7 08:06:50 2021 commencing singleton removal, initial pass
  34. Thu Jan 7 08:23:40 2021 memory use: 3012.0 MB
  35. Thu Jan 7 08:23:40 2021 reading all ideals from disk
  36. Thu Jan 7 08:23:48 2021 memory use: 3318.7 MB
  37. Thu Jan 7 08:23:54 2021 commencing in-memory singleton removal
  38. Thu Jan 7 08:24:00 2021 begin with 194058217 relations and 160148479 unique ideals
  39. Thu Jan 7 08:25:10 2021 reduce to 127315694 relations and 86760612 ideals in 13 passes
  40. Thu Jan 7 08:25:10 2021 max relations containing the same ideal: 39
  41. Thu Jan 7 08:25:16 2021 reading ideals above 720000
  42. Thu Jan 7 08:25:16 2021 commencing singleton removal, initial pass
  43. Thu Jan 7 08:39:31 2021 memory use: 2756.0 MB
  44. Thu Jan 7 08:39:31 2021 reading all ideals from disk
  45. Thu Jan 7 08:39:45 2021 memory use: 5189.1 MB
  46. Thu Jan 7 08:39:57 2021 keeping 102943183 ideals with weight <= 200, target excess is 692648
  47. Thu Jan 7 08:40:11 2021 commencing in-memory singleton removal
  48. Thu Jan 7 08:40:22 2021 begin with 127315694 relations and 102943183 unique ideals
  49. Thu Jan 7 08:41:38 2021 reduce to 127311618 relations and 102939107 ideals in 7 passes
  50. Thu Jan 7 08:41:38 2021 max relations containing the same ideal: 200
  51. Thu Jan 7 08:42:30 2021 removing 10829996 relations and 8829996 ideals in 2000000 cliques
  52. Thu Jan 7 08:42:33 2021 commencing in-memory singleton removal
  53. Thu Jan 7 08:42:42 2021 begin with 116481622 relations and 102939107 unique ideals
  54. Thu Jan 7 08:44:03 2021 reduce to 115815991 relations and 93430703 ideals in 8 passes
  55. Thu Jan 7 08:44:03 2021 max relations containing the same ideal: 195
  56. Thu Jan 7 08:44:50 2021 removing 8248612 relations and 6248612 ideals in 2000000 cliques
  57. Thu Jan 7 08:44:53 2021 commencing in-memory singleton removal
  58. Thu Jan 7 08:45:01 2021 begin with 107567379 relations and 93430703 unique ideals
  59. Thu Jan 7 08:46:15 2021 reduce to 107118658 relations and 86725661 ideals in 8 passes
  60. Thu Jan 7 08:46:15 2021 max relations containing the same ideal: 187
  61. Thu Jan 7 08:46:57 2021 removing 7483531 relations and 5483531 ideals in 2000000 cliques
  62. Thu Jan 7 08:47:00 2021 commencing in-memory singleton removal
  63. Thu Jan 7 08:47:08 2021 begin with 99635127 relations and 86725661 unique ideals
  64. Thu Jan 7 08:48:08 2021 reduce to 99236125 relations and 80836262 ideals in 7 passes
  65. Thu Jan 7 08:48:08 2021 max relations containing the same ideal: 180
  66. Thu Jan 7 08:48:48 2021 removing 7098446 relations and 5098446 ideals in 2000000 cliques
  67. Thu Jan 7 08:48:50 2021 commencing in-memory singleton removal
  68. Thu Jan 7 08:48:57 2021 begin with 92137679 relations and 80836262 unique ideals
  69. Thu Jan 7 08:49:51 2021 reduce to 91759069 relations and 75352346 ideals in 7 passes
  70. Thu Jan 7 08:49:51 2021 max relations containing the same ideal: 174
  71. Thu Jan 7 08:50:28 2021 removing 6858077 relations and 4858077 ideals in 2000000 cliques
  72. Thu Jan 7 08:50:30 2021 commencing in-memory singleton removal
  73. Thu Jan 7 08:50:37 2021 begin with 84900992 relations and 75352346 unique ideals
  74. Thu Jan 7 08:51:26 2021 reduce to 84527111 relations and 70113233 ideals in 7 passes
  75. Thu Jan 7 08:51:26 2021 max relations containing the same ideal: 162
  76. Thu Jan 7 08:52:00 2021 removing 6706051 relations and 4706051 ideals in 2000000 cliques
  77. Thu Jan 7 08:52:03 2021 commencing in-memory singleton removal
  78. Thu Jan 7 08:52:09 2021 begin with 77821060 relations and 70113233 unique ideals
  79. Thu Jan 7 08:52:47 2021 reduce to 77443301 relations and 65021620 ideals in 6 passes
  80. Thu Jan 7 08:52:47 2021 max relations containing the same ideal: 152
  81. Thu Jan 7 08:53:19 2021 removing 6604050 relations and 4604050 ideals in 2000000 cliques
  82. Thu Jan 7 08:53:21 2021 commencing in-memory singleton removal
  83. Thu Jan 7 08:53:26 2021 begin with 70839251 relations and 65021620 unique ideals
  84. Thu Jan 7 08:54:01 2021 reduce to 70446180 relations and 60015884 ideals in 6 passes
  85. Thu Jan 7 08:54:01 2021 max relations containing the same ideal: 145
  86. Thu Jan 7 08:54:30 2021 removing 6539295 relations and 4539295 ideals in 2000000 cliques
  87. Thu Jan 7 08:54:32 2021 commencing in-memory singleton removal
  88. Thu Jan 7 08:54:37 2021 begin with 63906885 relations and 60015884 unique ideals
  89. Thu Jan 7 08:55:13 2021 reduce to 63491788 relations and 55051486 ideals in 7 passes
  90. Thu Jan 7 08:55:13 2021 max relations containing the same ideal: 134
  91. Thu Jan 7 08:55:40 2021 removing 6499796 relations and 4499796 ideals in 2000000 cliques
  92. Thu Jan 7 08:55:42 2021 commencing in-memory singleton removal
  93. Thu Jan 7 08:55:46 2021 begin with 56991992 relations and 55051486 unique ideals
  94. Thu Jan 7 08:56:18 2021 reduce to 56542806 relations and 50090564 ideals in 7 passes
  95. Thu Jan 7 08:56:18 2021 max relations containing the same ideal: 126
  96. Thu Jan 7 08:56:42 2021 removing 6488004 relations and 4488004 ideals in 2000000 cliques
  97. Thu Jan 7 08:56:44 2021 commencing in-memory singleton removal
  98. Thu Jan 7 08:56:47 2021 begin with 50054802 relations and 50090564 unique ideals
  99. Thu Jan 7 08:57:23 2021 reduce to 49560620 relations and 45093703 ideals in 9 passes
  100. Thu Jan 7 08:57:23 2021 max relations containing the same ideal: 113
  101. Thu Jan 7 08:57:44 2021 removing 6496939 relations and 4496939 ideals in 2000000 cliques
  102. Thu Jan 7 08:57:46 2021 commencing in-memory singleton removal
  103. Thu Jan 7 08:57:49 2021 begin with 43063681 relations and 45093703 unique ideals
  104. Thu Jan 7 08:58:16 2021 reduce to 42498111 relations and 40012155 ideals in 8 passes
  105. Thu Jan 7 08:58:16 2021 max relations containing the same ideal: 102
  106. Thu Jan 7 08:58:34 2021 removing 5665176 relations and 3982692 ideals in 1682484 cliques
  107. Thu Jan 7 08:58:35 2021 commencing in-memory singleton removal
  108. Thu Jan 7 08:58:38 2021 begin with 36832935 relations and 40012155 unique ideals
  109. Thu Jan 7 08:59:01 2021 reduce to 36329159 relations and 35508656 ideals in 8 passes
  110. Thu Jan 7 08:59:01 2021 max relations containing the same ideal: 91
  111. Thu Jan 7 08:59:16 2021 removing 118992 relations and 101961 ideals in 17031 cliques
  112. Thu Jan 7 08:59:17 2021 commencing in-memory singleton removal
  113. Thu Jan 7 08:59:20 2021 begin with 36210167 relations and 35508656 unique ideals
  114. Thu Jan 7 08:59:31 2021 reduce to 36209888 relations and 35406415 ideals in 4 passes
  115. Thu Jan 7 08:59:31 2021 max relations containing the same ideal: 91
  116. Thu Jan 7 08:59:38 2021 relations with 0 large ideals: 23566
  117. Thu Jan 7 08:59:38 2021 relations with 1 large ideals: 5844
  118. Thu Jan 7 08:59:38 2021 relations with 2 large ideals: 86311
  119. Thu Jan 7 08:59:38 2021 relations with 3 large ideals: 641502
  120. Thu Jan 7 08:59:38 2021 relations with 4 large ideals: 2555676
  121. Thu Jan 7 08:59:38 2021 relations with 5 large ideals: 6108330
  122. Thu Jan 7 08:59:38 2021 relations with 6 large ideals: 9166225
  123. Thu Jan 7 08:59:38 2021 relations with 7+ large ideals: 17622434
  124. Thu Jan 7 08:59:38 2021 commencing 2-way merge
  125. Thu Jan 7 08:59:58 2021 reduce to 23941829 relation sets and 23138356 unique ideals
  126. Thu Jan 7 08:59:58 2021 commencing full merge
  127. Thu Jan 7 09:08:47 2021 memory use: 3214.5 MB
  128. Thu Jan 7 09:08:49 2021 found 10982794 cycles, need 10938556
  129. Thu Jan 7 09:08:52 2021 weight of 10938556 cycles is about 1313342504 (120.07/cycle)
  130. Thu Jan 7 09:08:52 2021 distribution of cycle lengths:
  131. Thu Jan 7 09:08:52 2021 1 relations: 464097
  132. Thu Jan 7 09:08:52 2021 2 relations: 651163
  133. Thu Jan 7 09:08:52 2021 3 relations: 769477
  134. Thu Jan 7 09:08:52 2021 4 relations: 807637
  135. Thu Jan 7 09:08:52 2021 5 relations: 837739
  136. Thu Jan 7 09:08:52 2021 6 relations: 836560
  137. Thu Jan 7 09:08:52 2021 7 relations: 818429
  138. Thu Jan 7 09:08:52 2021 8 relations: 781485
  139. Thu Jan 7 09:08:52 2021 9 relations: 730768
  140. Thu Jan 7 09:08:52 2021 10+ relations: 4241201
  141. Thu Jan 7 09:08:52 2021 heaviest cycle: 28 relations
  142. Thu Jan 7 09:08:55 2021 commencing cycle optimization
  143. Thu Jan 7 09:09:13 2021 start with 95294630 relations
  144. Thu Jan 7 09:12:27 2021 pruned 4613333 relations
  145. Thu Jan 7 09:12:28 2021 memory use: 2487.5 MB
  146. Thu Jan 7 09:12:28 2021 distribution of cycle lengths:
  147. Thu Jan 7 09:12:28 2021 1 relations: 464097
  148. Thu Jan 7 09:12:28 2021 2 relations: 667675
  149. Thu Jan 7 09:12:28 2021 3 relations: 802982
  150. Thu Jan 7 09:12:28 2021 4 relations: 843791
  151. Thu Jan 7 09:12:28 2021 5 relations: 883558
  152. Thu Jan 7 09:12:28 2021 6 relations: 881907
  153. Thu Jan 7 09:12:28 2021 7 relations: 866233
  154. Thu Jan 7 09:12:28 2021 8 relations: 821703
  155. Thu Jan 7 09:12:28 2021 9 relations: 766464
  156. Thu Jan 7 09:12:28 2021 10+ relations: 3940146
  157. Thu Jan 7 09:12:28 2021 heaviest cycle: 28 relations
  158. Thu Jan 7 09:12:47 2021 RelProcTime: 5379
  159. Thu Jan 7 09:12:47 2021
  160. Thu Jan 7 09:12:47 2021 commencing linear algebra
  161. Thu Jan 7 09:12:47 2021 read 10938556 cycles
  162. Thu Jan 7 09:13:08 2021 cycles contain 35790049 unique relations
  163. Thu Jan 7 09:16:07 2021 read 35790049 relations
  164. Thu Jan 7 09:17:05 2021 using 20 quadratic characters above 4294917295
  165. Thu Jan 7 09:19:19 2021 building initial matrix
  166. Thu Jan 7 09:25:22 2021 memory use: 4615.3 MB
  167. Thu Jan 7 09:25:27 2021 read 10938556 cycles
  168. Thu Jan 7 09:25:28 2021 matrix is 10938379 x 10938556 (5123.8 MB) with weight 1457283163 (133.22/col)
  169. Thu Jan 7 09:25:28 2021 sparse part has weight 1222858626 (111.79/col)
  170. Thu Jan 7 09:27:38 2021 filtering completed in 2 passes
  171. Thu Jan 7 09:27:40 2021 matrix is 10938225 x 10938402 (5123.8 MB) with weight 1457277178 (133.23/col)
  172. Thu Jan 7 09:27:40 2021 sparse part has weight 1222856064 (111.79/col)
  173. Thu Jan 7 09:28:14 2021 matrix starts at (0, 0)
  174. Thu Jan 7 09:28:15 2021 matrix is 10938225 x 10938402 (5123.8 MB) with weight 1457277178 (133.23/col)
  175. Thu Jan 7 09:28:15 2021 sparse part has weight 1222856064 (111.79/col)
  176. Thu Jan 7 09:28:15 2021 saving the first 48 matrix rows for later
  177. Thu Jan 7 09:28:17 2021 matrix includes 64 packed rows
  178. Thu Jan 7 09:28:18 2021 matrix is 10938177 x 10938402 (4914.3 MB) with weight 1261266230 (115.31/col)
  179. Thu Jan 7 09:28:18 2021 sparse part has weight 1178858179 (107.77/col)
  180. Thu Jan 7 09:28:19 2021 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  181. Thu Jan 7 09:28:55 2021 commencing Lanczos iteration (4 threads)
  182. Thu Jan 7 09:28:55 2021 memory use: 4715.0 MB
  183. Thu Jan 7 09:29:48 2021 linear algebra at 0.0%, ETA 101h56m
  184. Thu Jan 7 09:30:06 2021 checkpointing every 110000 dimensions
  185. Mon Jan 11 15:34:23 2021 lanczos halted after 172972 iterations (dim = 10938175)
  186. Mon Jan 11 15:34:32 2021 recovered 41 nontrivial dependencies
  187. Mon Jan 11 15:34:32 2021 BLanczosTime: 368505
  188. Mon Jan 11 15:34:32 2021
  189. Mon Jan 11 15:34:32 2021 commencing square root phase
  190. Mon Jan 11 15:34:32 2021 handling dependencies 1 to 64
  191. Mon Jan 11 15:34:32 2021 reading relations for dependency 1
  192. Mon Jan 11 15:34:33 2021 read 5468988 cycles
  193. Mon Jan 11 15:34:41 2021 cycles contain 17898282 unique relations
  194. Mon Jan 11 15:36:22 2021 read 17898282 relations
  195. Mon Jan 11 15:37:36 2021 multiplying 17898282 relations
  196. Mon Jan 11 15:49:54 2021 multiply complete, coefficients have about 522.12 million bits
  197. Mon Jan 11 15:49:56 2021 initial square root is modulo 2335861903
  198. Mon Jan 11 16:03:17 2021 sqrtTime: 1725
  199. Mon Jan 11 16:03:17 2021 p69 factor: 142498277492679700462296895337558444538793533656900226962405681936401
  200. Mon Jan 11 16:03:17 2021 p149 factor: 16894180016692054469230999936223227783152898299807410353390179603787806754218180901935801680432037925294727324561903452775293322687163861937297123393
  201. Mon Jan 11 16:03:17 2021 elapsed time 104:20:10
  202.  
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