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C155_P231_plus_1

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Nov 25th, 2015
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  1. Mon Nov 23 14:06:44 2015
  2. Mon Nov 23 14:06:44 2015
  3. Mon Nov 23 14:06:44 2015 Msieve v. 1.52 (SVN 946)
  4. Mon Nov 23 14:06:44 2015 random seeds: 71f87560 0c9fea79
  5. Mon Nov 23 14:06:44 2015 factoring 53809318947498920119013718326354144850351745967141380111988316195832961905924522359115807833595439644724421989436720295091695896111925572414263785270873289 (155 digits)
  6. Mon Nov 23 14:06:44 2015 no P-1/P+1/ECM available, skipping
  7. Mon Nov 23 14:06:44 2015 commencing number field sieve (155-digit input)
  8. Mon Nov 23 14:06:44 2015 R0: -654468512970011394951354858038
  9. Mon Nov 23 14:06:44 2015 R1: 247183871139257
  10. Mon Nov 23 14:06:44 2015 A0: 4411040416796572883803200639857361345
  11. Mon Nov 23 14:06:44 2015 A1: 5327747613116870926320102908838
  12. Mon Nov 23 14:06:44 2015 A2: -1932001108416812421260637
  13. Mon Nov 23 14:06:44 2015 A3: -3058518414122516104
  14. Mon Nov 23 14:06:44 2015 A4: -257054184862
  15. Mon Nov 23 14:06:44 2015 A5: 448140
  16. Mon Nov 23 14:06:44 2015 skew 1.00, size 4.593e-015, alpha -6.127, combined = 2.403e-014 rroots = 3
  17. Mon Nov 23 14:06:44 2015
  18. Mon Nov 23 14:06:44 2015 commencing relation filtering
  19. Mon Nov 23 14:06:44 2015 setting target matrix density to 120.0
  20. Mon Nov 23 14:06:44 2015 estimated available RAM is 16331.2 MB
  21. Mon Nov 23 14:06:44 2015 commencing duplicate removal, pass 1
  22. <errors reading relations>
  23. Mon Nov 23 14:23:20 2015 found 15062620 hash collisions in 105618589 relations
  24. Mon Nov 23 14:24:07 2015 added 122589 free relations
  25. Mon Nov 23 14:24:07 2015 commencing duplicate removal, pass 2
  26. Mon Nov 23 14:24:48 2015 found 12969646 duplicates and 92771532 unique relations
  27. Mon Nov 23 14:24:48 2015 memory use: 426.4 MB
  28. Mon Nov 23 14:24:48 2015 reading ideals above 81854464
  29. Mon Nov 23 14:24:48 2015 commencing singleton removal, initial pass
  30. Mon Nov 23 14:40:24 2015 memory use: 1506.0 MB
  31. Mon Nov 23 14:40:24 2015 reading all ideals from disk
  32. Mon Nov 23 14:40:26 2015 memory use: 1465.2 MB
  33. Mon Nov 23 14:40:29 2015 commencing in-memory singleton removal
  34. Mon Nov 23 14:40:31 2015 begin with 92771532 relations and 75193512 unique ideals
  35. Mon Nov 23 14:40:53 2015 reduce to 56259509 relations and 34437674 ideals in 13 passes
  36. Mon Nov 23 14:40:53 2015 max relations containing the same ideal: 33
  37. Mon Nov 23 14:40:57 2015 reading ideals above 720000
  38. Mon Nov 23 14:40:57 2015 commencing singleton removal, initial pass
  39. Mon Nov 23 14:51:48 2015 memory use: 1378.0 MB
  40. Mon Nov 23 14:51:48 2015 reading all ideals from disk
  41. Mon Nov 23 14:51:52 2015 memory use: 2058.3 MB
  42. Mon Nov 23 14:51:57 2015 keeping 43688859 ideals with weight <= 200, target excess is 291444
  43. Mon Nov 23 14:52:01 2015 commencing in-memory singleton removal
  44. Mon Nov 23 14:52:05 2015 begin with 56259510 relations and 43688859 unique ideals
  45. Mon Nov 23 14:52:37 2015 reduce to 56246177 relations and 43675523 ideals in 8 passes
  46. Mon Nov 23 14:52:37 2015 max relations containing the same ideal: 200
  47. Mon Nov 23 14:52:58 2015 removing 8416651 relations and 6416651 ideals in 2000000 cliques
  48. Mon Nov 23 14:53:00 2015 commencing in-memory singleton removal
  49. Mon Nov 23 14:53:03 2015 begin with 47829526 relations and 43675523 unique ideals
  50. Mon Nov 23 14:53:30 2015 reduce to 46938318 relations and 36327998 ideals in 8 passes
  51. Mon Nov 23 14:53:30 2015 max relations containing the same ideal: 188
  52. Mon Nov 23 14:53:48 2015 removing 6572085 relations and 4572085 ideals in 2000000 cliques
  53. Mon Nov 23 14:53:50 2015 commencing in-memory singleton removal
  54. Mon Nov 23 14:53:52 2015 begin with 40366233 relations and 36327998 unique ideals
  55. Mon Nov 23 14:54:12 2015 reduce to 39777242 relations and 31142307 ideals in 7 passes
  56. Mon Nov 23 14:54:12 2015 max relations containing the same ideal: 171
  57. Mon Nov 23 14:54:27 2015 removing 6002484 relations and 4002484 ideals in 2000000 cliques
  58. Mon Nov 23 14:54:29 2015 commencing in-memory singleton removal
  59. Mon Nov 23 14:54:31 2015 begin with 33774758 relations and 31142307 unique ideals
  60. Mon Nov 23 14:54:47 2015 reduce to 33274323 relations and 26616777 ideals in 7 passes
  61. Mon Nov 23 14:54:47 2015 max relations containing the same ideal: 156
  62. Mon Nov 23 14:55:00 2015 removing 5652254 relations and 3652254 ideals in 2000000 cliques
  63. Mon Nov 23 14:55:01 2015 commencing in-memory singleton removal
  64. Mon Nov 23 14:55:03 2015 begin with 27622069 relations and 26616777 unique ideals
  65. Mon Nov 23 14:55:15 2015 reduce to 27163641 relations and 22482361 ideals in 7 passes
  66. Mon Nov 23 14:55:15 2015 max relations containing the same ideal: 137
  67. Mon Nov 23 14:55:26 2015 removing 5362072 relations and 3362072 ideals in 2000000 cliques
  68. Mon Nov 23 14:55:27 2015 commencing in-memory singleton removal
  69. Mon Nov 23 14:55:28 2015 begin with 21801569 relations and 22482361 unique ideals
  70. Mon Nov 23 14:55:37 2015 reduce to 21349501 relations and 18640805 ideals in 6 passes
  71. Mon Nov 23 14:55:37 2015 max relations containing the same ideal: 115
  72. Mon Nov 23 14:55:45 2015 removing 5117192 relations and 3117192 ideals in 2000000 cliques
  73. Mon Nov 23 14:55:46 2015 commencing in-memory singleton removal
  74. Mon Nov 23 14:55:47 2015 begin with 16232309 relations and 18640805 unique ideals
  75. Mon Nov 23 14:55:56 2015 reduce to 15712269 relations and 14965277 ideals in 9 passes
  76. Mon Nov 23 14:55:56 2015 max relations containing the same ideal: 95
  77. Mon Nov 23 14:56:02 2015 removing 1314221 relations and 905305 ideals in 408916 cliques
  78. Mon Nov 23 14:56:02 2015 commencing in-memory singleton removal
  79. Mon Nov 23 14:56:03 2015 begin with 14398048 relations and 14965277 unique ideals
  80. Mon Nov 23 14:56:08 2015 reduce to 14313949 relations and 13973774 ideals in 6 passes
  81. Mon Nov 23 14:56:08 2015 max relations containing the same ideal: 86
  82. Mon Nov 23 14:56:16 2015 relations with 0 large ideals: 744
  83. Mon Nov 23 14:56:16 2015 relations with 1 large ideals: 3315
  84. Mon Nov 23 14:56:16 2015 relations with 2 large ideals: 46536
  85. Mon Nov 23 14:56:16 2015 relations with 3 large ideals: 341261
  86. Mon Nov 23 14:56:16 2015 relations with 4 large ideals: 1299541
  87. Mon Nov 23 14:56:16 2015 relations with 5 large ideals: 2891290
  88. Mon Nov 23 14:56:16 2015 relations with 6 large ideals: 3967208
  89. Mon Nov 23 14:56:16 2015 relations with 7+ large ideals: 5764054
  90. Mon Nov 23 14:56:16 2015 commencing 2-way merge
  91. Mon Nov 23 14:56:23 2015 reduce to 10260791 relation sets and 9920616 unique ideals
  92. Mon Nov 23 14:56:23 2015 commencing full merge
  93. Mon Nov 23 14:59:19 2015 memory use: 1242.1 MB
  94. Mon Nov 23 14:59:20 2015 found 4604412 cycles, need 4574816
  95. Mon Nov 23 14:59:20 2015 weight of 4574816 cycles is about 549024436 (120.01/cycle)
  96. Mon Nov 23 14:59:20 2015 distribution of cycle lengths:
  97. Mon Nov 23 14:59:20 2015 1 relations: 57220
  98. Mon Nov 23 14:59:20 2015 2 relations: 205915
  99. Mon Nov 23 14:59:20 2015 3 relations: 296455
  100. Mon Nov 23 14:59:20 2015 4 relations: 344387
  101. Mon Nov 23 14:59:20 2015 5 relations: 383988
  102. Mon Nov 23 14:59:20 2015 6 relations: 395126
  103. Mon Nov 23 14:59:20 2015 7 relations: 391465
  104. Mon Nov 23 14:59:20 2015 8 relations: 373402
  105. Mon Nov 23 14:59:20 2015 9 relations: 345665
  106. Mon Nov 23 14:59:20 2015 10+ relations: 1781193
  107. Mon Nov 23 14:59:20 2015 heaviest cycle: 28 relations
  108. Mon Nov 23 14:59:20 2015 commencing cycle optimization
  109. Mon Nov 23 14:59:28 2015 start with 40385009 relations
  110. Mon Nov 23 15:00:55 2015 pruned 2311560 relations
  111. Mon Nov 23 15:00:55 2015 memory use: 1017.6 MB
  112. Mon Nov 23 15:00:55 2015 distribution of cycle lengths:
  113. Mon Nov 23 15:00:55 2015 1 relations: 57220
  114. Mon Nov 23 15:00:55 2015 2 relations: 213010
  115. Mon Nov 23 15:00:55 2015 3 relations: 312499
  116. Mon Nov 23 15:00:55 2015 4 relations: 364932
  117. Mon Nov 23 15:00:55 2015 5 relations: 411630
  118. Mon Nov 23 15:00:55 2015 6 relations: 422659
  119. Mon Nov 23 15:00:55 2015 7 relations: 421241
  120. Mon Nov 23 15:00:55 2015 8 relations: 398550
  121. Mon Nov 23 15:00:55 2015 9 relations: 365060
  122. Mon Nov 23 15:00:55 2015 10+ relations: 1608015
  123. Mon Nov 23 15:00:55 2015 heaviest cycle: 27 relations
  124. Mon Nov 23 15:00:59 2015 RelProcTime: 3255
  125. Mon Nov 23 15:00:59 2015 elapsed time 00:54:15
  126. Mon Nov 23 15:54:43 2015
  127. Mon Nov 23 15:54:43 2015
  128. Mon Nov 23 15:54:43 2015 Msieve v. 1.52 (SVN 946)
  129. Mon Nov 23 15:54:43 2015 random seeds: 02fbde38 6dfcc1c7
  130. Mon Nov 23 15:54:43 2015 factoring 53809318947498920119013718326354144850351745967141380111988316195832961905924522359115807833595439644724421989436720295091695896111925572414263785270873289 (155 digits)
  131. Mon Nov 23 15:54:43 2015 no P-1/P+1/ECM available, skipping
  132. Mon Nov 23 15:54:43 2015 commencing number field sieve (155-digit input)
  133. Mon Nov 23 15:54:43 2015 R0: -654468512970011394951354858038
  134. Mon Nov 23 15:54:43 2015 R1: 247183871139257
  135. Mon Nov 23 15:54:43 2015 A0: 4411040416796572883803200639857361345
  136. Mon Nov 23 15:54:43 2015 A1: 5327747613116870926320102908838
  137. Mon Nov 23 15:54:43 2015 A2: -1932001108416812421260637
  138. Mon Nov 23 15:54:43 2015 A3: -3058518414122516104
  139. Mon Nov 23 15:54:43 2015 A4: -257054184862
  140. Mon Nov 23 15:54:43 2015 A5: 448140
  141. Mon Nov 23 15:54:43 2015 skew 1.00, size 4.593e-015, alpha -6.127, combined = 2.403e-014 rroots = 3
  142. Mon Nov 23 15:54:43 2015
  143. Mon Nov 23 15:54:43 2015 commencing linear algebra
  144. Mon Nov 23 15:54:44 2015 read 4574816 cycles
  145. Mon Nov 23 15:54:52 2015 cycles contain 14165892 unique relations
  146. Mon Nov 23 15:57:20 2015 read 14165892 relations
  147. Mon Nov 23 15:57:39 2015 using 20 quadratic characters above 1073739680
  148. Mon Nov 23 15:58:38 2015 building initial matrix
  149. Mon Nov 23 16:01:42 2015 memory use: 1942.5 MB
  150. Mon Nov 23 16:01:45 2015 read 4574816 cycles
  151. Mon Nov 23 16:01:46 2015 matrix is 4574639 x 4574816 (2114.3 MB) with weight 647981674 (141.64/col)
  152. Mon Nov 23 16:01:46 2015 sparse part has weight 503919411 (110.15/col)
  153. Mon Nov 23 16:02:38 2015 filtering completed in 2 passes
  154. Mon Nov 23 16:02:40 2015 matrix is 4574602 x 4574779 (2114.3 MB) with weight 647979473 (141.64/col)
  155. Mon Nov 23 16:02:40 2015 sparse part has weight 503918445 (110.15/col)
  156. Mon Nov 23 16:02:50 2015 matrix starts at (0, 0)
  157. Mon Nov 23 16:02:52 2015 matrix is 4574602 x 4574779 (2114.3 MB) with weight 647979473 (141.64/col)
  158. Mon Nov 23 16:02:52 2015 sparse part has weight 503918445 (110.15/col)
  159. Mon Nov 23 16:02:52 2015 saving the first 48 matrix rows for later
  160. Mon Nov 23 16:02:53 2015 matrix includes 64 packed rows
  161. Mon Nov 23 16:02:54 2015 matrix is 4574554 x 4574779 (2056.1 MB) with weight 550441890 (120.32/col)
  162. Mon Nov 23 16:02:54 2015 sparse part has weight 493247759 (107.82/col)
  163. Mon Nov 23 16:02:54 2015 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  164. Mon Nov 23 16:03:19 2015 commencing Lanczos iteration (4 threads)
  165. Mon Nov 23 16:03:19 2015 memory use: 1692.3 MB
  166. Mon Nov 23 16:03:40 2015 linear algebra at 0.0%, ETA 16h44m
  167. Mon Nov 23 16:03:47 2015 checkpointing every 270000 dimensions
  168. Tue Nov 24 03:47:28 2015 lanczos halted after 72344 iterations (dim = 4574553)
  169. Tue Nov 24 03:47:35 2015 recovered 32 nontrivial dependencies
  170. Tue Nov 24 03:47:36 2015 BLanczosTime: 42773
  171. Tue Nov 24 03:47:36 2015 elapsed time 11:52:53
  172. Tue Nov 24 11:56:22 2015
  173. Tue Nov 24 11:56:22 2015
  174. Tue Nov 24 11:56:22 2015 Msieve v. 1.52 (SVN 946)
  175. Tue Nov 24 11:56:22 2015 random seeds: 53fb6af8 10abe414
  176. Tue Nov 24 11:56:22 2015 factoring 53809318947498920119013718326354144850351745967141380111988316195832961905924522359115807833595439644724421989436720295091695896111925572414263785270873289 (155 digits)
  177. Tue Nov 24 11:56:23 2015 no P-1/P+1/ECM available, skipping
  178. Tue Nov 24 11:56:23 2015 commencing number field sieve (155-digit input)
  179. Tue Nov 24 11:56:23 2015 R0: -654468512970011394951354858038
  180. Tue Nov 24 11:56:23 2015 R1: 247183871139257
  181. Tue Nov 24 11:56:23 2015 A0: 4411040416796572883803200639857361345
  182. Tue Nov 24 11:56:23 2015 A1: 5327747613116870926320102908838
  183. Tue Nov 24 11:56:23 2015 A2: -1932001108416812421260637
  184. Tue Nov 24 11:56:23 2015 A3: -3058518414122516104
  185. Tue Nov 24 11:56:23 2015 A4: -257054184862
  186. Tue Nov 24 11:56:23 2015 A5: 448140
  187. Tue Nov 24 11:56:23 2015 skew 1.00, size 4.593e-015, alpha -6.127, combined = 2.403e-014 rroots = 3
  188. Tue Nov 24 11:56:23 2015
  189. Tue Nov 24 11:56:23 2015 commencing square root phase
  190. Tue Nov 24 11:56:23 2015 reading relations for dependency 1
  191. Tue Nov 24 11:56:23 2015 read 2287285 cycles
  192. Tue Nov 24 11:56:27 2015 cycles contain 7080168 unique relations
  193. Tue Nov 24 11:57:49 2015 read 7080168 relations
  194. Tue Nov 24 11:58:23 2015 multiplying 7080168 relations
  195. Tue Nov 24 12:06:22 2015 multiply complete, coefficients have about 378.85 million bits
  196. Tue Nov 24 12:06:27 2015 initial square root is modulo 6277907
  197. Tue Nov 24 12:17:28 2015 sqrtTime: 1265
  198. Tue Nov 24 12:17:28 2015 prp67 factor: 1298090651008576926821917885741545600605433587928408384226486859519
  199. Tue Nov 24 12:17:28 2015 prp89 factor: 41452666580481661315947314374973870934110184062288085034776865295119975310544760404427831
  200. Tue Nov 24 12:17:28 2015 elapsed time 00:21:06
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