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7m5_319

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  1. Sat Jun  8 07:47:34 2019  
  2. Sat Jun  8 07:47:34 2019  
  3. Sat Jun  8 07:47:34 2019  Msieve v. 1.54 (SVN 1025)
  4. Sat Jun  8 07:47:34 2019  random seeds: c369584c bc838580
  5. Sat Jun  8 07:47:34 2019  factoring 81663689389843222795192987727673560212516379667966369301902962572505349561605164740610431341466338415768425567371760891377767953405641006028007510800089195065480115711027248099057701311 (185 digits)
  6. Sat Jun  8 07:47:35 2019  searching for 15-digit factors
  7. Sat Jun  8 07:47:35 2019  commencing number field sieve (185-digit input)
  8. Sat Jun  8 07:47:35 2019  R0: 10367793111013313709784880615834744766051084252074
  9. Sat Jun  8 07:47:35 2019  R1: -599754183704625764272661320865154266357421875
  10. Sat Jun  8 07:47:35 2019  A0: 1
  11. Sat Jun  8 07:47:35 2019  A1: 3
  12. Sat Jun  8 07:47:35 2019  A2: -3
  13. Sat Jun  8 07:47:35 2019  A3: -4
  14. Sat Jun  8 07:47:35 2019  A4: 1
  15. Sat Jun  8 07:47:35 2019  A5: 1
  16. Sat Jun  8 07:47:35 2019  skew 1.00, size 1.167e-16, alpha 2.379, combined = 2.242e-13 rroots = 5
  17. Sat Jun  8 07:47:35 2019  
  18. Sat Jun  8 07:47:35 2019  commencing relation filtering
  19. Sat Jun  8 07:47:35 2019  setting target matrix density to 108.0
  20. Sat Jun  8 07:47:35 2019  estimated available RAM is 15984.6 MB
  21. Sat Jun  8 07:47:35 2019  commencing duplicate removal, pass 1
  22. Sat Jun  8 07:47:53 2019  error -1 reading relation 2792394
  23. Sat Jun  8 07:47:53 2019  error -1 reading relation 2792395
  24. [ . . . removed 24000 lines mostly error -1 & -11 . . . ]
  25. Sat Jun  8 08:05:52 2019  error -1 reading relation 172724486
  26. Sat Jun  8 08:08:42 2019  skipped 298 relations with b > 2^32
  27. Sat Jun  8 08:08:42 2019  skipped 16225 relations with composite factors
  28. Sat Jun  8 08:08:42 2019  found 8563751 hash collisions in 197669584 relations
  29. Sat Jun  8 08:08:42 2019  commencing duplicate removal, pass 2
  30. Sat Jun  8 08:09:34 2019  found 0 duplicates and 197669584 unique relations
  31. Sat Jun  8 08:09:34 2019  memory use: 522.4 MB
  32. Sat Jun  8 08:09:34 2019  reading ideals above 159842304
  33. Sat Jun  8 08:09:34 2019  commencing singleton removal, initial pass
  34. Sat Jun  8 08:24:40 2019  memory use: 3012.0 MB
  35. Sat Jun  8 08:24:40 2019  reading all ideals from disk
  36. Sat Jun  8 08:24:45 2019  memory use: 3523.2 MB
  37. Sat Jun  8 08:24:53 2019  commencing in-memory singleton removal
  38. Sat Jun  8 08:25:00 2019  begin with 197669584 relations and 161870502 unique ideals
  39. Sat Jun  8 08:26:19 2019  reduce to 134956421 relations and 93262012 ideals in 14 passes
  40. Sat Jun  8 08:26:19 2019  max relations containing the same ideal: 42
  41. Sat Jun  8 08:26:25 2019  reading ideals above 720000
  42. Sat Jun  8 08:26:25 2019  commencing singleton removal, initial pass
  43. Sat Jun  8 08:39:39 2019  memory use: 3012.0 MB
  44. Sat Jun  8 08:39:39 2019  reading all ideals from disk
  45. Sat Jun  8 08:39:50 2019  memory use: 5332.8 MB
  46. Sat Jun  8 08:40:04 2019  keeping 110533517 ideals with weight <= 200, target excess is 660203
  47. Sat Jun  8 08:40:18 2019  commencing in-memory singleton removal
  48. Sat Jun  8 08:40:29 2019  begin with 134956421 relations and 110533517 unique ideals
  49. Sat Jun  8 08:41:22 2019  reduce to 134954790 relations and 110531881 ideals in 5 passes
  50. Sat Jun  8 08:41:22 2019  max relations containing the same ideal: 200
  51. Sat Jun  8 08:42:13 2019  removing 10962304 relations and 8962304 ideals in 2000000 cliques
  52. Sat Jun  8 08:42:17 2019  commencing in-memory singleton removal
  53. Sat Jun  8 08:42:27 2019  begin with 123992486 relations and 110531881 unique ideals
  54. Sat Jun  8 08:43:44 2019  reduce to 123249774 relations and 100812080 ideals in 8 passes
  55. Sat Jun  8 08:43:44 2019  max relations containing the same ideal: 196
  56. Sat Jun  8 08:44:31 2019  removing 8394183 relations and 6394183 ideals in 2000000 cliques
  57. Sat Jun  8 08:44:33 2019  commencing in-memory singleton removal
  58. Sat Jun  8 08:44:43 2019  begin with 114855591 relations and 100812080 unique ideals
  59. Sat Jun  8 08:45:54 2019  reduce to 114362931 relations and 93916597 ideals in 8 passes
  60. Sat Jun  8 08:45:54 2019  max relations containing the same ideal: 188
  61. Sat Jun  8 08:46:38 2019  removing 7626739 relations and 5626739 ideals in 2000000 cliques
  62. Sat Jun  8 08:46:40 2019  commencing in-memory singleton removal
  63. Sat Jun  8 08:46:48 2019  begin with 106736192 relations and 93916597 unique ideals
  64. Sat Jun  8 08:47:54 2019  reduce to 106302059 relations and 87848295 ideals in 8 passes
  65. Sat Jun  8 08:47:54 2019  max relations containing the same ideal: 182
  66. Sat Jun  8 08:48:35 2019  removing 7246235 relations and 5246235 ideals in 2000000 cliques
  67. Sat Jun  8 08:48:37 2019  commencing in-memory singleton removal
  68. Sat Jun  8 08:48:45 2019  begin with 99055824 relations and 87848295 unique ideals
  69. Sat Jun  8 08:49:37 2019  reduce to 98641109 relations and 82179940 ideals in 7 passes
  70. Sat Jun  8 08:49:37 2019  max relations containing the same ideal: 172
  71. Sat Jun  8 08:50:15 2019  removing 7018945 relations and 5018945 ideals in 2000000 cliques
  72. Sat Jun  8 08:50:17 2019  commencing in-memory singleton removal
  73. Sat Jun  8 08:50:24 2019  begin with 91622164 relations and 82179940 unique ideals
  74. Sat Jun  8 08:51:13 2019  reduce to 91210525 relations and 76741666 ideals in 7 passes
  75. Sat Jun  8 08:51:13 2019  max relations containing the same ideal: 167
  76. Sat Jun  8 08:51:47 2019  removing 6882903 relations and 4882903 ideals in 2000000 cliques
  77. Sat Jun  8 08:51:49 2019  commencing in-memory singleton removal
  78. Sat Jun  8 08:51:56 2019  begin with 84327622 relations and 76741666 unique ideals
  79. Sat Jun  8 08:52:40 2019  reduce to 83908159 relations and 71430887 ideals in 7 passes
  80. Sat Jun  8 08:52:40 2019  max relations containing the same ideal: 155
  81. Sat Jun  8 08:53:12 2019  removing 6799177 relations and 4799177 ideals in 2000000 cliques
  82. Sat Jun  8 08:53:14 2019  commencing in-memory singleton removal
  83. Sat Jun  8 08:53:20 2019  begin with 77108982 relations and 71430887 unique ideals
  84. Sat Jun  8 08:54:00 2019  reduce to 76666649 relations and 66179961 ideals in 7 passes
  85. Sat Jun  8 08:54:00 2019  max relations containing the same ideal: 146
  86. Sat Jun  8 08:54:29 2019  removing 6761398 relations and 4761398 ideals in 2000000 cliques
  87. Sat Jun  8 08:54:31 2019  commencing in-memory singleton removal
  88. Sat Jun  8 08:54:37 2019  begin with 69905251 relations and 66179961 unique ideals
  89. Sat Jun  8 08:55:13 2019  reduce to 69432171 relations and 60934497 ideals in 7 passes
  90. Sat Jun  8 08:55:13 2019  max relations containing the same ideal: 136
  91. Sat Jun  8 08:55:39 2019  removing 6764268 relations and 4764268 ideals in 2000000 cliques
  92. Sat Jun  8 08:55:41 2019  commencing in-memory singleton removal
  93. Sat Jun  8 08:55:46 2019  begin with 62667903 relations and 60934497 unique ideals
  94. Sat Jun  8 08:56:18 2019  reduce to 62147488 relations and 55636550 ideals in 7 passes
  95. Sat Jun  8 08:56:18 2019  max relations containing the same ideal: 129
  96. Sat Jun  8 08:56:42 2019  removing 6799349 relations and 4799349 ideals in 2000000 cliques
  97. Sat Jun  8 08:56:44 2019  commencing in-memory singleton removal
  98. Sat Jun  8 08:56:48 2019  begin with 55348139 relations and 55636550 unique ideals
  99. Sat Jun  8 08:57:16 2019  reduce to 54759316 relations and 50231830 ideals in 7 passes
  100. Sat Jun  8 08:57:16 2019  max relations containing the same ideal: 117
  101. Sat Jun  8 08:57:37 2019  removing 6864033 relations and 4864033 ideals in 2000000 cliques
  102. Sat Jun  8 08:57:39 2019  commencing in-memory singleton removal
  103. Sat Jun  8 08:57:42 2019  begin with 47895283 relations and 50231830 unique ideals
  104. Sat Jun  8 08:58:09 2019  reduce to 47214518 relations and 44665164 ideals in 8 passes
  105. Sat Jun  8 08:58:09 2019  max relations containing the same ideal: 106
  106. Sat Jun  8 08:58:27 2019  removing 6356894 relations and 4573376 ideals in 1783518 cliques
  107. Sat Jun  8 08:58:29 2019  commencing in-memory singleton removal
  108. Sat Jun  8 08:58:32 2019  begin with 40857624 relations and 44665164 unique ideals
  109. Sat Jun  8 08:58:54 2019  reduce to 40175331 relations and 39386930 ideals in 8 passes
  110. Sat Jun  8 08:58:54 2019  max relations containing the same ideal: 99
  111. Sat Jun  8 08:59:10 2019  removing 174570 relations and 152005 ideals in 22565 cliques
  112. Sat Jun  8 08:59:11 2019  commencing in-memory singleton removal
  113. Sat Jun  8 08:59:13 2019  begin with 40000761 relations and 39386930 unique ideals
  114. Sat Jun  8 08:59:27 2019  reduce to 40000229 relations and 39234393 ideals in 5 passes
  115. Sat Jun  8 08:59:27 2019  max relations containing the same ideal: 99
  116. Sat Jun  8 08:59:34 2019  relations with 0 large ideals: 52805
  117. Sat Jun  8 08:59:34 2019  relations with 1 large ideals: 8689
  118. Sat Jun  8 08:59:34 2019  relations with 2 large ideals: 107593
  119. Sat Jun  8 08:59:34 2019  relations with 3 large ideals: 762128
  120. Sat Jun  8 08:59:34 2019  relations with 4 large ideals: 2976340
  121. Sat Jun  8 08:59:34 2019  relations with 5 large ideals: 6992868
  122. Sat Jun  8 08:59:34 2019  relations with 6 large ideals: 11657342
  123. Sat Jun  8 08:59:34 2019  relations with 7+ large ideals: 17442464
  124. Sat Jun  8 08:59:34 2019  commencing 2-way merge
  125. Sat Jun  8 08:59:55 2019  reduce to 26222129 relation sets and 25456293 unique ideals
  126. Sat Jun  8 08:59:55 2019  commencing full merge
  127. Sat Jun  8 09:07:51 2019  memory use: 3375.4 MB
  128. Sat Jun  8 09:07:53 2019  found 11996569 cycles, need 11984493
  129. Sat Jun  8 09:07:56 2019  weight of 11984493 cycles is about 1294332634 (108.00/cycle)
  130. Sat Jun  8 09:07:56 2019  distribution of cycle lengths:
  131. Sat Jun  8 09:07:56 2019  1 relations: 748625
  132. Sat Jun  8 09:07:56 2019  2 relations: 866541
  133. Sat Jun  8 09:07:56 2019  3 relations: 919804
  134. Sat Jun  8 09:07:56 2019  4 relations: 908864
  135. Sat Jun  8 09:07:56 2019  5 relations: 894037
  136. Sat Jun  8 09:07:56 2019  6 relations: 870626
  137. Sat Jun  8 09:07:56 2019  7 relations: 832043
  138. Sat Jun  8 09:07:56 2019  8 relations: 785522
  139. Sat Jun  8 09:07:56 2019  9 relations: 729775
  140. Sat Jun  8 09:07:56 2019  10+ relations: 4428656
  141. Sat Jun  8 09:07:56 2019  heaviest cycle: 28 relations
  142. Sat Jun  8 09:07:59 2019  commencing cycle optimization
  143. Sat Jun  8 09:08:17 2019  start with 101515163 relations
  144. Sat Jun  8 09:11:15 2019  pruned 4356069 relations
  145. Sat Jun  8 09:11:15 2019  memory use: 2701.4 MB
  146. Sat Jun  8 09:11:15 2019  distribution of cycle lengths:
  147. Sat Jun  8 09:11:15 2019  1 relations: 748625
  148. Sat Jun  8 09:11:15 2019  2 relations: 884210
  149. Sat Jun  8 09:11:15 2019  3 relations: 954332
  150. Sat Jun  8 09:11:15 2019  4 relations: 943217
  151. Sat Jun  8 09:11:15 2019  5 relations: 934956
  152. Sat Jun  8 09:11:15 2019  6 relations: 907988
  153. Sat Jun  8 09:11:15 2019  7 relations: 871729
  154. Sat Jun  8 09:11:15 2019  8 relations: 818132
  155. Sat Jun  8 09:11:15 2019  9 relations: 758046
  156. Sat Jun  8 09:11:15 2019  10+ relations: 4163258
  157. Sat Jun  8 09:11:15 2019  heaviest cycle: 28 relations
  158. Sat Jun  8 09:11:36 2019  RelProcTime: 5041
  159. Sat Jun  8 09:11:36 2019  
  160. Sat Jun  8 09:11:36 2019  commencing linear algebra
  161. Sat Jun  8 09:11:37 2019  read 11984493 cycles
  162. Sat Jun  8 09:11:56 2019  cycles contain 39536425 unique relations
  163. Sat Jun  8 09:14:44 2019  read 39536425 relations
  164. Sat Jun  8 09:15:46 2019  using 20 quadratic characters above 4294917295
  165. Sat Jun  8 09:17:59 2019  building initial matrix
  166. Sat Jun  8 09:23:42 2019  memory use: 4918.5 MB
  167. Sat Jun  8 09:23:46 2019  read 11984493 cycles
  168. Sat Jun  8 09:23:47 2019  matrix is 11984316 x 11984493 (5150.6 MB) with weight 1468728270 (122.55/col)
  169. Sat Jun  8 09:23:47 2019  sparse part has weight 1218367358 (101.66/col)
  170. Sat Jun  8 09:26:14 2019  filtering completed in 2 passes
  171. Sat Jun  8 09:26:16 2019  matrix is 11984099 x 11984275 (5150.6 MB) with weight 1468721733 (122.55/col)
  172. Sat Jun  8 09:26:16 2019  sparse part has weight 1218365494 (101.66/col)
  173. Sat Jun  8 09:26:43 2019  matrix starts at (0, 0)
  174. Sat Jun  8 09:26:44 2019  matrix is 11984099 x 11984275 (5150.6 MB) with weight 1468721733 (122.55/col)
  175. Sat Jun  8 09:26:44 2019  sparse part has weight 1218365494 (101.66/col)
  176. Sat Jun  8 09:26:44 2019  saving the first 48 matrix rows for later
  177. Sat Jun  8 09:26:46 2019  matrix includes 64 packed rows
  178. Sat Jun  8 09:26:48 2019  matrix is 11984051 x 11984275 (4936.1 MB) with weight 1255216081 (104.74/col)
  179. Sat Jun  8 09:26:48 2019  sparse part has weight 1174134783 (97.97/col)
  180. Sat Jun  8 09:26:48 2019  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  181. Sat Jun  8 09:27:20 2019  commencing Lanczos iteration (4 threads)
  182. Sat Jun  8 09:27:20 2019  memory use: 4765.4 MB
  183. Sat Jun  8 09:28:08 2019  linear algebra at 0.0%, ETA 100h51m
  184. Sat Jun  8 09:28:24 2019  checkpointing every 120000 dimensions
  185. Wed Jun 12 05:07:36 2019  lanczos halted after 189521 iterations (dim = 11984051)
  186. Wed Jun 12 05:07:53 2019  recovered 35 nontrivial dependencies
  187. Wed Jun 12 05:07:53 2019  BLanczosTime: 330977
  188. Wed Jun 12 05:07:53 2019  
  189. Wed Jun 12 05:07:53 2019  commencing square root phase
  190. Wed Jun 12 05:07:53 2019  handling dependencies 1 to 64
  191. Wed Jun 12 05:07:53 2019  reading relations for dependency 1
  192. Wed Jun 12 05:07:55 2019  read 5992757 cycles
  193. Wed Jun 12 05:08:03 2019  cycles contain 19770826 unique relations
  194. Wed Jun 12 05:09:38 2019  read 19770826 relations
  195. Wed Jun 12 05:10:37 2019  multiplying 19770826 relations
  196. Wed Jun 12 05:18:28 2019  multiply complete, coefficients have about 499.14 million bits
  197. Wed Jun 12 05:18:30 2019  initial square root is modulo 903870203
  198. Wed Jun 12 05:27:29 2019  GCD is N, no factor found
  199. Wed Jun 12 05:27:29 2019  reading relations for dependency 2
  200. Wed Jun 12 05:27:30 2019  read 5989747 cycles
  201. Wed Jun 12 05:27:39 2019  cycles contain 19763484 unique relations
  202. Wed Jun 12 05:29:13 2019  read 19763484 relations
  203. Wed Jun 12 05:30:12 2019  multiplying 19763484 relations
  204. Wed Jun 12 05:38:01 2019  multiply complete, coefficients have about 498.97 million bits
  205. Wed Jun 12 05:38:03 2019  initial square root is modulo 897665921
  206. Wed Jun 12 05:46:55 2019  sqrtTime: 2342
  207. Wed Jun 12 05:46:55 2019  p66 factor: 447826003871204856717206051057370316000088739379122935063606296073
  208. Wed Jun 12 05:46:55 2019  p120 factor: 182355845091411373226545131935624461050745652763886076721609152556999857425632414795448499428794633517407566495839945607
  209. Wed Jun 12 05:46:55 2019  elapsed time 93:59:21
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