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Sep 2nd, 2024
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  1. Mon Sep 2 07:29:59 2024
  2. Mon Sep 2 07:29:59 2024
  3. Mon Sep 2 07:29:59 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Sep 2 07:29:59 2024 random seeds: 199412e1 a37aaede
  5. Mon Sep 2 07:29:59 2024 MPI process 0 of 1
  6. Mon Sep 2 07:29:59 2024 Using 16 OpenMP threads
  7. Mon Sep 2 07:29:59 2024 factoring 148576520183711603571389932860713738851686393219306057113755280224321373510300036186465682690465915884498218213904430155737008643747844046125879561135204029399699480759 (168 digits)
  8. Mon Sep 2 07:30:00 2024 searching for 15-digit factors
  9. Mon Sep 2 07:30:00 2024 commencing number field sieve (168-digit input)
  10. Mon Sep 2 07:30:00 2024 R0: -233025157248711498703644179419491
  11. Mon Sep 2 07:30:00 2024 R1: 735297160210460731
  12. Mon Sep 2 07:30:00 2024 A0: 36736796025001589854241902222080263171200
  13. Mon Sep 2 07:30:00 2024 A1: -11618094178247928170905403896684108
  14. Mon Sep 2 07:30:00 2024 A2: -1775174102406285507280792607
  15. Mon Sep 2 07:30:00 2024 A3: 464214858762400197940
  16. Mon Sep 2 07:30:00 2024 A4: 15974970960604
  17. Mon Sep 2 07:30:00 2024 A5: 216240
  18. Mon Sep 2 07:30:00 2024 skew 11554384.92, size 2.356e-16, alpha -7.333, combined = 4.735e-13 rroots = 3
  19. Mon Sep 2 07:30:00 2024
  20. Mon Sep 2 07:30:00 2024 commencing relation filtering
  21. Mon Sep 2 07:30:00 2024 setting target matrix density to 120.0
  22. Mon Sep 2 07:30:00 2024 estimated available RAM is 257736.5 MB
  23. Mon Sep 2 07:30:00 2024 commencing duplicate removal, pass 1
  24. Mon Sep 2 07:42:17 2024 skipped 12 malformed relations
  25. Mon Sep 2 07:42:17 2024 found 60371304 hash collisions in 284575924 relations
  26. Mon Sep 2 07:42:43 2024 commencing duplicate removal, pass 2
  27. Mon Sep 2 07:48:44 2024 found 60622620 duplicates and 223953304 unique relations
  28. Mon Sep 2 07:48:44 2024 memory use: 1449.5 MB
  29. Mon Sep 2 07:48:44 2024 reading ideals above 720000
  30. Mon Sep 2 07:48:44 2024 commencing singleton removal, initial pass
  31. Mon Sep 2 08:04:39 2024 memory use: 6024.0 MB
  32. Mon Sep 2 08:04:40 2024 reading all ideals from disk
  33. Mon Sep 2 08:04:44 2024 memory use: 10345.2 MB
  34. Mon Sep 2 08:05:07 2024 keeping 223846358 ideals with weight <= 200, target excess is 1103621
  35. Mon Sep 2 08:05:35 2024 commencing in-memory singleton removal
  36. Mon Sep 2 08:05:40 2024 begin with 223953304 relations and 223846358 unique ideals
  37. Mon Sep 2 08:05:59 2024 reduce to 113064205 relations and 98167959 ideals in 17 passes
  38. Mon Sep 2 08:05:59 2024 max relations containing the same ideal: 137
  39. Mon Sep 2 08:06:44 2024 removing 13005116 relations and 11005116 ideals in 2000000 cliques
  40. Mon Sep 2 08:06:48 2024 commencing in-memory singleton removal
  41. Mon Sep 2 08:06:51 2024 begin with 100059089 relations and 98167959 unique ideals
  42. Mon Sep 2 08:06:58 2024 reduce to 98860776 relations and 85936850 ideals in 9 passes
  43. Mon Sep 2 08:06:58 2024 max relations containing the same ideal: 122
  44. Mon Sep 2 08:07:45 2024 removing 9950079 relations and 7950079 ideals in 2000000 cliques
  45. Mon Sep 2 08:07:49 2024 commencing in-memory singleton removal
  46. Mon Sep 2 08:07:51 2024 begin with 88910697 relations and 85936850 unique ideals
  47. Mon Sep 2 08:07:57 2024 reduce to 88075786 relations and 77134583 ideals in 9 passes
  48. Mon Sep 2 08:07:57 2024 max relations containing the same ideal: 117
  49. Mon Sep 2 08:08:31 2024 removing 9055034 relations and 7055034 ideals in 2000000 cliques
  50. Mon Sep 2 08:08:35 2024 commencing in-memory singleton removal
  51. Mon Sep 2 08:08:37 2024 begin with 79020752 relations and 77134583 unique ideals
  52. Mon Sep 2 08:08:41 2024 reduce to 78234259 relations and 69276094 ideals in 8 passes
  53. Mon Sep 2 08:08:41 2024 max relations containing the same ideal: 106
  54. Mon Sep 2 08:09:13 2024 removing 8639585 relations and 6639585 ideals in 2000000 cliques
  55. Mon Sep 2 08:09:16 2024 commencing in-memory singleton removal
  56. Mon Sep 2 08:09:18 2024 begin with 69594674 relations and 69276094 unique ideals
  57. Mon Sep 2 08:09:22 2024 reduce to 68785381 relations and 61807883 ideals in 8 passes
  58. Mon Sep 2 08:09:22 2024 max relations containing the same ideal: 95
  59. Mon Sep 2 08:09:50 2024 removing 8439979 relations and 6439979 ideals in 2000000 cliques
  60. Mon Sep 2 08:09:53 2024 commencing in-memory singleton removal
  61. Mon Sep 2 08:09:55 2024 begin with 60345402 relations and 61807883 unique ideals
  62. Mon Sep 2 08:09:58 2024 reduce to 59463956 relations and 54463316 ideals in 9 passes
  63. Mon Sep 2 08:09:58 2024 max relations containing the same ideal: 86
  64. Mon Sep 2 08:10:22 2024 removing 8378493 relations and 6378493 ideals in 2000000 cliques
  65. Mon Sep 2 08:10:25 2024 commencing in-memory singleton removal
  66. Mon Sep 2 08:10:26 2024 begin with 51085463 relations and 54463316 unique ideals
  67. Mon Sep 2 08:10:29 2024 reduce to 50070302 relations and 47039303 ideals in 9 passes
  68. Mon Sep 2 08:10:29 2024 max relations containing the same ideal: 77
  69. Mon Sep 2 08:10:50 2024 removing 7610591 relations and 5859793 ideals in 1750798 cliques
  70. Mon Sep 2 08:10:53 2024 commencing in-memory singleton removal
  71. Mon Sep 2 08:10:54 2024 begin with 42459711 relations and 47039303 unique ideals
  72. Mon Sep 2 08:10:57 2024 reduce to 41454959 relations and 40143604 ideals in 11 passes
  73. Mon Sep 2 08:10:57 2024 max relations containing the same ideal: 69
  74. Mon Sep 2 08:11:14 2024 removing 300250 relations and 269096 ideals in 31154 cliques
  75. Mon Sep 2 08:11:16 2024 commencing in-memory singleton removal
  76. Mon Sep 2 08:11:16 2024 begin with 41154709 relations and 40143604 unique ideals
  77. Mon Sep 2 08:11:18 2024 reduce to 41153326 relations and 39873125 ideals in 6 passes
  78. Mon Sep 2 08:11:18 2024 max relations containing the same ideal: 69
  79. Mon Sep 2 08:11:22 2024 relations with 0 large ideals: 3968
  80. Mon Sep 2 08:11:22 2024 relations with 1 large ideals: 33523
  81. Mon Sep 2 08:11:22 2024 relations with 2 large ideals: 429791
  82. Mon Sep 2 08:11:22 2024 relations with 3 large ideals: 2323697
  83. Mon Sep 2 08:11:22 2024 relations with 4 large ideals: 6645406
  84. Mon Sep 2 08:11:22 2024 relations with 5 large ideals: 11046260
  85. Mon Sep 2 08:11:22 2024 relations with 6 large ideals: 11100047
  86. Mon Sep 2 08:11:22 2024 relations with 7+ large ideals: 9570634
  87. Mon Sep 2 08:11:22 2024 commencing 2-way merge
  88. Mon Sep 2 08:11:47 2024 reduce to 24367565 relation sets and 23087363 unique ideals
  89. Mon Sep 2 08:11:47 2024 commencing full merge
  90. Mon Sep 2 08:19:58 2024 memory use: 2717.6 MB
  91. Mon Sep 2 08:20:02 2024 found 10552931 cycles, need 10523563
  92. Mon Sep 2 08:20:06 2024 weight of 10523563 cycles is about 1262839706 (120.00/cycle)
  93. Mon Sep 2 08:20:06 2024 distribution of cycle lengths:
  94. Mon Sep 2 08:20:06 2024 1 relations: 805039
  95. Mon Sep 2 08:20:06 2024 2 relations: 759001
  96. Mon Sep 2 08:20:06 2024 3 relations: 758185
  97. Mon Sep 2 08:20:06 2024 4 relations: 732069
  98. Mon Sep 2 08:20:06 2024 5 relations: 723952
  99. Mon Sep 2 08:20:06 2024 6 relations: 692670
  100. Mon Sep 2 08:20:06 2024 7 relations: 667252
  101. Mon Sep 2 08:20:06 2024 8 relations: 634169
  102. Mon Sep 2 08:20:06 2024 9 relations: 600898
  103. Mon Sep 2 08:20:06 2024 10+ relations: 4150328
  104. Mon Sep 2 08:20:06 2024 heaviest cycle: 28 relations
  105. Mon Sep 2 08:20:10 2024 commencing cycle optimization
  106. Mon Sep 2 08:20:42 2024 start with 92548509 relations
  107. Mon Sep 2 08:23:42 2024 pruned 3461403 relations
  108. Mon Sep 2 08:23:43 2024 memory use: 2607.0 MB
  109. Mon Sep 2 08:23:43 2024 distribution of cycle lengths:
  110. Mon Sep 2 08:23:43 2024 1 relations: 805039
  111. Mon Sep 2 08:23:43 2024 2 relations: 777528
  112. Mon Sep 2 08:23:43 2024 3 relations: 786579
  113. Mon Sep 2 08:23:43 2024 4 relations: 757070
  114. Mon Sep 2 08:23:43 2024 5 relations: 751747
  115. Mon Sep 2 08:23:43 2024 6 relations: 718520
  116. Mon Sep 2 08:23:43 2024 7 relations: 693752
  117. Mon Sep 2 08:23:43 2024 8 relations: 656454
  118. Mon Sep 2 08:23:43 2024 9 relations: 619786
  119. Mon Sep 2 08:23:43 2024 10+ relations: 3957088
  120. Mon Sep 2 08:23:43 2024 heaviest cycle: 28 relations
  121. Mon Sep 2 08:23:58 2024 RelProcTime: 3238
  122. Mon Sep 2 08:23:58 2024 elapsed time 00:53:59
  123. Mon Sep 2 08:24:52 2024
  124. Mon Sep 2 08:24:52 2024
  125. Mon Sep 2 08:24:52 2024 Msieve v. 1.54 (SVN Unversioned directory)
  126. Mon Sep 2 08:24:52 2024 random seeds: 94782244 ba59b202
  127. Mon Sep 2 08:24:52 2024 MPI process 0 of 1
  128. Mon Sep 2 08:24:52 2024 Using 64 OpenMP threads
  129. Mon Sep 2 08:24:52 2024 factoring 148576520183711603571389932860713738851686393219306057113755280224321373510300036186465682690465915884498218213904430155737008643747844046125879561135204029399699480759 (168 digits)
  130. Mon Sep 2 08:24:53 2024 searching for 15-digit factors
  131. Mon Sep 2 08:24:54 2024 commencing number field sieve (168-digit input)
  132. Mon Sep 2 08:24:54 2024 R0: -233025157248711498703644179419491
  133. Mon Sep 2 08:24:54 2024 R1: 735297160210460731
  134. Mon Sep 2 08:24:54 2024 A0: 36736796025001589854241902222080263171200
  135. Mon Sep 2 08:24:54 2024 A1: -11618094178247928170905403896684108
  136. Mon Sep 2 08:24:54 2024 A2: -1775174102406285507280792607
  137. Mon Sep 2 08:24:54 2024 A3: 464214858762400197940
  138. Mon Sep 2 08:24:54 2024 A4: 15974970960604
  139. Mon Sep 2 08:24:54 2024 A5: 216240
  140. Mon Sep 2 08:24:54 2024 skew 11554384.92, size 2.356e-16, alpha -7.333, combined = 4.735e-13 rroots = 3
  141. Mon Sep 2 08:24:54 2024
  142. Mon Sep 2 08:24:54 2024 commencing linear algebra
  143. Mon Sep 2 08:24:54 2024 using VBITS=256
  144. Mon Sep 2 08:24:54 2024 initialized process (0,0) of 1 x 1 grid
  145. Mon Sep 2 08:24:55 2024 read 10523563 cycles
  146. Mon Sep 2 08:25:22 2024 cycles contain 40149649 unique relations
  147. Mon Sep 2 08:29:23 2024 read 40149649 relations
  148. Mon Sep 2 08:29:26 2024 using 20 quadratic characters above 4294917295
  149. Mon Sep 2 08:29:31 2024 building initial matrix
  150. Mon Sep 2 08:36:43 2024 memory use: 5433.8 MB
  151. Mon Sep 2 08:36:51 2024 read 10523563 cycles
  152. Mon Sep 2 08:36:52 2024 matrix is 10523384 x 10523563 (4945.7 MB) with weight 1502864866 (142.81/col)
  153. Mon Sep 2 08:36:52 2024 sparse part has weight 1180736457 (112.20/col)
  154. Mon Sep 2 08:39:17 2024 filtering completed in 2 passes
  155. Mon Sep 2 08:39:19 2024 matrix is 10522609 x 10522788 (4945.7 MB) with weight 1502825923 (142.82/col)
  156. Mon Sep 2 08:39:19 2024 sparse part has weight 1180723763 (112.21/col)
  157. Mon Sep 2 08:40:18 2024 matrix starts at (0, 0)
  158. Mon Sep 2 08:40:20 2024 matrix is 10522609 x 10522788 (4945.7 MB) with weight 1502825923 (142.82/col)
  159. Mon Sep 2 08:40:20 2024 sparse part has weight 1180723763 (112.21/col)
  160. Mon Sep 2 08:40:20 2024 saving the first 240 matrix rows for later
  161. Mon Sep 2 08:40:22 2024 matrix includes 256 packed rows
  162. Mon Sep 2 08:40:25 2024 matrix is 10522369 x 10522788 (4486.0 MB) with weight 1074567013 (102.12/col)
  163. Mon Sep 2 08:40:25 2024 sparse part has weight 1007603433 (95.75/col)
  164. Mon Sep 2 08:40:25 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  165. Mon Sep 2 08:40:48 2024 commencing Lanczos iteration (64 threads)
  166. Mon Sep 2 08:40:48 2024 memory use: 6490.6 MB
  167. Mon Sep 2 08:42:24 2024 linear algebra at 0.3%, ETA 9h 2m
  168. Mon Sep 2 08:44:37 2024 checking every 20000 dimensions, checkpointing every 1220000 dimensions
  169. Mon Sep 2 17:13:03 2024 lanczos halted after 41227 iterations (dim = 10522365)
  170. Mon Sep 2 17:13:53 2024 recovered 25 nontrivial dependencies
  171. Mon Sep 2 17:13:54 2024 BLanczosTime: 31740
  172. Mon Sep 2 17:13:54 2024
  173. Mon Sep 2 17:13:54 2024 commencing square root phase
  174. Mon Sep 2 17:13:54 2024 reading relations for dependency 1
  175. Mon Sep 2 17:13:55 2024 read 5260839 cycles
  176. Mon Sep 2 17:14:04 2024 cycles contain 20074314 unique relations
  177. Mon Sep 2 17:17:37 2024 read 20074314 relations
  178. Mon Sep 2 17:18:45 2024 multiplying 20074314 relations
  179. Mon Sep 2 17:20:38 2024 multiply complete, coefficients have about 1113.34 million bits
  180. Mon Sep 2 17:20:41 2024 initial square root is modulo 98689
  181. Mon Sep 2 17:29:52 2024 GCD is N, no factor found
  182. Mon Sep 2 17:29:52 2024 reading relations for dependency 2
  183. Mon Sep 2 17:29:53 2024 read 5263520 cycles
  184. Mon Sep 2 17:30:08 2024 cycles contain 20085720 unique relations
  185. Mon Sep 2 17:34:00 2024 read 20085720 relations
  186. Mon Sep 2 17:35:13 2024 multiplying 20085720 relations
  187. Mon Sep 2 17:38:05 2024 multiply complete, coefficients have about 1113.97 million bits
  188. Mon Sep 2 17:38:09 2024 initial square root is modulo 99391
  189. Mon Sep 2 17:46:44 2024 sqrtTime: 1970
  190. Mon Sep 2 17:46:44 2024 p55 factor: 1116522519279773542568736825455454438604213311080405219
  191. Mon Sep 2 17:46:44 2024 p114 factor: 133070777900254710962849910856632065321963981005631213789825386912411328921795092753911146006522700241582946149661
  192. Mon Sep 2 17:46:44 2024 elapsed time 09:21:52
  193.  
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