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C164_P207_plus_1

Feb 22nd, 2016
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  1. Tue Feb 16 06:38:19 2016
  2. Tue Feb 16 06:38:19 2016
  3. Tue Feb 16 06:38:19 2016 Msieve v. 1.53 (SVN 991)
  4. Tue Feb 16 06:38:19 2016 random seeds: 8ed23c0c 4734583d
  5. Tue Feb 16 06:38:19 2016 factoring 18046674227934245376844203279569011642703943769094121052909684123031558162651856023135783441971830985462415680017961577705950135784907159836667971571620152253515793 (164 digits)
  6. Tue Feb 16 06:38:20 2016 no P-1/P+1/ECM available, skipping
  7. Tue Feb 16 06:38:20 2016 commencing number field sieve (164-digit input)
  8. Tue Feb 16 06:38:20 2016 R0: -26885225424716159133281397018875
  9. Tue Feb 16 06:38:20 2016 R1: 40687377600901
  10. Tue Feb 16 06:38:20 2016 A0: 1506690899496724904947942882250050668
  11. Tue Feb 16 06:38:20 2016 A1: 23822949827861961108337023238148
  12. Tue Feb 16 06:38:20 2016 A2: 51009084356172000817547053
  13. Tue Feb 16 06:38:20 2016 A3: 6062887903033652013
  14. Tue Feb 16 06:38:20 2016 A4: -10683664797135
  15. Tue Feb 16 06:38:20 2016 A5: 1284780
  16. Tue Feb 16 06:38:20 2016 skew 1.00, size 6.261e-16, alpha -5.159, combined = 1.030e-14 rroots = 5
  17. Tue Feb 16 06:38:20 2016
  18. Tue Feb 16 06:38:20 2016 commencing relation filtering
  19. Tue Feb 16 06:38:20 2016 setting target matrix density to 140.0
  20. Tue Feb 16 06:38:20 2016 estimated available RAM is 16010.6 MB
  21. Tue Feb 16 06:38:20 2016 commencing duplicate removal, pass 1
  22. Tue Feb 16 07:08:02 2016 skipped 1 relations with composite factors
  23. Tue Feb 16 07:08:02 2016 found 7439217 hash collisions in 183860320 relations
  24. Tue Feb 16 07:08:39 2016 commencing duplicate removal, pass 2
  25. Tue Feb 16 07:09:35 2016 found 0 duplicates and 183860320 unique relations
  26. Tue Feb 16 07:09:35 2016 memory use: 522.4 MB
  27. Tue Feb 16 07:09:35 2016 reading ideals above 134152192
  28. Tue Feb 16 07:09:35 2016 commencing singleton removal, initial pass
  29. Tue Feb 16 07:30:33 2016 memory use: 3012.0 MB
  30. Tue Feb 16 07:30:33 2016 reading all ideals from disk
  31. Tue Feb 16 07:30:37 2016 memory use: 3090.5 MB
  32. Tue Feb 16 07:30:45 2016 commencing in-memory singleton removal
  33. Tue Feb 16 07:30:53 2016 begin with 183860320 relations and 149804979 unique ideals
  34. Tue Feb 16 07:32:02 2016 reduce to 114075523 relations and 72166517 ideals in 13 passes
  35. Tue Feb 16 07:32:02 2016 max relations containing the same ideal: 40
  36. Tue Feb 16 07:32:08 2016 reading ideals above 720000
  37. Tue Feb 16 07:32:09 2016 commencing singleton removal, initial pass
  38. Tue Feb 16 07:48:49 2016 memory use: 2756.0 MB
  39. Tue Feb 16 07:48:49 2016 reading all ideals from disk
  40. Tue Feb 16 07:48:56 2016 memory use: 4374.6 MB
  41. Tue Feb 16 07:49:16 2016 keeping 86783842 ideals with weight <= 200, target excess is 581417
  42. Tue Feb 16 07:49:33 2016 commencing in-memory singleton removal
  43. Tue Feb 16 07:49:45 2016 begin with 114075523 relations and 86783842 unique ideals
  44. Tue Feb 16 07:50:31 2016 reduce to 114075358 relations and 86783677 ideals in 4 passes
  45. Tue Feb 16 07:50:31 2016 max relations containing the same ideal: 200
  46. Tue Feb 16 07:51:29 2016 removing 10063764 relations and 8063764 ideals in 2000000 cliques
  47. Tue Feb 16 07:51:33 2016 commencing in-memory singleton removal
  48. Tue Feb 16 07:51:48 2016 begin with 104011594 relations and 86783677 unique ideals
  49. Tue Feb 16 07:53:00 2016 reduce to 103392432 relations and 78087146 ideals in 7 passes
  50. Tue Feb 16 07:53:00 2016 max relations containing the same ideal: 195
  51. Tue Feb 16 07:53:52 2016 removing 7613236 relations and 5613236 ideals in 2000000 cliques
  52. Tue Feb 16 07:53:56 2016 commencing in-memory singleton removal
  53. Tue Feb 16 07:54:05 2016 begin with 95779196 relations and 78087146 unique ideals
  54. Tue Feb 16 07:55:10 2016 reduce to 95373312 relations and 72060102 ideals in 7 passes
  55. Tue Feb 16 07:55:10 2016 max relations containing the same ideal: 188
  56. Tue Feb 16 07:55:58 2016 removing 6891988 relations and 4891988 ideals in 2000000 cliques
  57. Tue Feb 16 07:56:02 2016 commencing in-memory singleton removal
  58. Tue Feb 16 07:56:11 2016 begin with 88481324 relations and 72060102 unique ideals
  59. Tue Feb 16 07:57:13 2016 reduce to 88140776 relations and 66820757 ideals in 7 passes
  60. Tue Feb 16 07:57:13 2016 max relations containing the same ideal: 180
  61. Tue Feb 16 07:57:59 2016 removing 6500809 relations and 4500809 ideals in 2000000 cliques
  62. Tue Feb 16 07:58:02 2016 commencing in-memory singleton removal
  63. Tue Feb 16 07:58:10 2016 begin with 81639967 relations and 66820757 unique ideals
  64. Tue Feb 16 07:59:05 2016 reduce to 81331187 relations and 62004772 ideals in 7 passes
  65. Tue Feb 16 07:59:05 2016 max relations containing the same ideal: 173
  66. Tue Feb 16 07:59:47 2016 removing 6228810 relations and 4228810 ideals in 2000000 cliques
  67. Tue Feb 16 07:59:50 2016 commencing in-memory singleton removal
  68. Tue Feb 16 07:59:57 2016 begin with 75102377 relations and 62004772 unique ideals
  69. Tue Feb 16 08:00:41 2016 reduce to 74812524 relations and 57479666 ideals in 6 passes
  70. Tue Feb 16 08:00:41 2016 max relations containing the same ideal: 165
  71. Tue Feb 16 08:01:20 2016 removing 6029010 relations and 4029010 ideals in 2000000 cliques
  72. Tue Feb 16 08:01:22 2016 commencing in-memory singleton removal
  73. Tue Feb 16 08:01:29 2016 begin with 68783514 relations and 57479666 unique ideals
  74. Tue Feb 16 08:02:08 2016 reduce to 68507938 relations and 53168830 ideals in 6 passes
  75. Tue Feb 16 08:02:08 2016 max relations containing the same ideal: 155
  76. Tue Feb 16 08:02:44 2016 removing 5858414 relations and 3858414 ideals in 2000000 cliques
  77. Tue Feb 16 08:02:47 2016 commencing in-memory singleton removal
  78. Tue Feb 16 08:02:56 2016 begin with 62649524 relations and 53168830 unique ideals
  79. Tue Feb 16 08:03:39 2016 reduce to 62382458 relations and 49036745 ideals in 6 passes
  80. Tue Feb 16 08:03:39 2016 max relations containing the same ideal: 149
  81. Tue Feb 16 08:04:21 2016 removing 5714555 relations and 3714555 ideals in 2000000 cliques
  82. Tue Feb 16 08:04:24 2016 commencing in-memory singleton removal
  83. Tue Feb 16 08:04:32 2016 begin with 56667903 relations and 49036745 unique ideals
  84. Tue Feb 16 08:05:09 2016 reduce to 56403884 relations and 45050987 ideals in 6 passes
  85. Tue Feb 16 08:05:09 2016 max relations containing the same ideal: 139
  86. Tue Feb 16 08:05:47 2016 removing 5587835 relations and 3587835 ideals in 2000000 cliques
  87. Tue Feb 16 08:05:50 2016 commencing in-memory singleton removal
  88. Tue Feb 16 08:05:55 2016 begin with 50816049 relations and 45050987 unique ideals
  89. Tue Feb 16 08:06:22 2016 reduce to 50550581 relations and 41189734 ideals in 6 passes
  90. Tue Feb 16 08:06:22 2016 max relations containing the same ideal: 128
  91. Tue Feb 16 08:06:48 2016 removing 5470647 relations and 3470647 ideals in 2000000 cliques
  92. Tue Feb 16 08:06:50 2016 commencing in-memory singleton removal
  93. Tue Feb 16 08:06:55 2016 begin with 45079934 relations and 41189734 unique ideals
  94. Tue Feb 16 08:07:19 2016 reduce to 44801674 relations and 37431683 ideals in 6 passes
  95. Tue Feb 16 08:07:19 2016 max relations containing the same ideal: 117
  96. Tue Feb 16 08:07:47 2016 removing 5376109 relations and 3376109 ideals in 2000000 cliques
  97. Tue Feb 16 08:07:49 2016 commencing in-memory singleton removal
  98. Tue Feb 16 08:07:54 2016 begin with 39425565 relations and 37431683 unique ideals
  99. Tue Feb 16 08:08:20 2016 reduce to 39123719 relations and 33742598 ideals in 6 passes
  100. Tue Feb 16 08:08:20 2016 max relations containing the same ideal: 105
  101. Tue Feb 16 08:08:43 2016 removing 5305178 relations and 3305178 ideals in 2000000 cliques
  102. Tue Feb 16 08:08:45 2016 commencing in-memory singleton removal
  103. Tue Feb 16 08:08:48 2016 begin with 33818541 relations and 33742598 unique ideals
  104. Tue Feb 16 08:09:09 2016 reduce to 33467044 relations and 30071218 ideals in 7 passes
  105. Tue Feb 16 08:09:09 2016 max relations containing the same ideal: 96
  106. Tue Feb 16 08:09:30 2016 removing 5280478 relations and 3280478 ideals in 2000000 cliques
  107. Tue Feb 16 08:09:32 2016 commencing in-memory singleton removal
  108. Tue Feb 16 08:09:35 2016 begin with 28186566 relations and 30071218 unique ideals
  109. Tue Feb 16 08:09:57 2016 reduce to 27740920 relations and 26323703 ideals in 8 passes
  110. Tue Feb 16 08:09:57 2016 max relations containing the same ideal: 84
  111. Tue Feb 16 08:10:14 2016 removing 2318317 relations and 1575544 ideals in 742773 cliques
  112. Tue Feb 16 08:10:15 2016 commencing in-memory singleton removal
  113. Tue Feb 16 08:10:18 2016 begin with 25422603 relations and 26323703 unique ideals
  114. Tue Feb 16 08:10:37 2016 reduce to 25279976 relations and 24602199 ideals in 8 passes
  115. Tue Feb 16 08:10:37 2016 max relations containing the same ideal: 81
  116. Tue Feb 16 08:10:57 2016 relations with 0 large ideals: 1534
  117. Tue Feb 16 08:10:57 2016 relations with 1 large ideals: 9765
  118. Tue Feb 16 08:10:57 2016 relations with 2 large ideals: 137239
  119. Tue Feb 16 08:10:57 2016 relations with 3 large ideals: 886080
  120. Tue Feb 16 08:10:57 2016 relations with 4 large ideals: 2970343
  121. Tue Feb 16 08:10:57 2016 relations with 5 large ideals: 5798380
  122. Tue Feb 16 08:10:57 2016 relations with 6 large ideals: 7008127
  123. Tue Feb 16 08:10:57 2016 relations with 7+ large ideals: 8468508
  124. Tue Feb 16 08:10:57 2016 commencing 2-way merge
  125. Tue Feb 16 08:11:17 2016 reduce to 17985042 relation sets and 17307265 unique ideals
  126. Tue Feb 16 08:11:17 2016 commencing full merge
  127. Tue Feb 16 08:18:48 2016 memory use: 2146.2 MB
  128. Tue Feb 16 08:18:50 2016 found 7611992 cycles, need 7607465
  129. Tue Feb 16 08:18:52 2016 weight of 7607465 cycles is about 1065754004 (140.09/cycle)
  130. Tue Feb 16 08:18:52 2016 distribution of cycle lengths:
  131. Tue Feb 16 08:18:52 2016 1 relations: 74420
  132. Tue Feb 16 08:18:52 2016 2 relations: 272070
  133. Tue Feb 16 08:18:52 2016 3 relations: 386015
  134. Tue Feb 16 08:18:52 2016 4 relations: 456991
  135. Tue Feb 16 08:18:52 2016 5 relations: 518590
  136. Tue Feb 16 08:18:52 2016 6 relations: 549685
  137. Tue Feb 16 08:18:52 2016 7 relations: 565291
  138. Tue Feb 16 08:18:52 2016 8 relations: 557837
  139. Tue Feb 16 08:18:52 2016 9 relations: 541349
  140. Tue Feb 16 08:18:52 2016 10+ relations: 3685217
  141. Tue Feb 16 08:18:52 2016 heaviest cycle: 28 relations
  142. Tue Feb 16 08:18:54 2016 commencing cycle optimization
  143. Tue Feb 16 08:19:11 2016 start with 77153909 relations
  144. Tue Feb 16 08:22:56 2016 pruned 4974053 relations
  145. Tue Feb 16 08:22:56 2016 memory use: 1844.6 MB
  146. Tue Feb 16 08:22:56 2016 distribution of cycle lengths:
  147. Tue Feb 16 08:22:56 2016 1 relations: 74420
  148. Tue Feb 16 08:22:56 2016 2 relations: 281232
  149. Tue Feb 16 08:22:56 2016 3 relations: 405950
  150. Tue Feb 16 08:22:56 2016 4 relations: 483942
  151. Tue Feb 16 08:22:56 2016 5 relations: 556591
  152. Tue Feb 16 08:22:56 2016 6 relations: 592289
  153. Tue Feb 16 08:22:56 2016 7 relations: 612793
  154. Tue Feb 16 08:22:56 2016 8 relations: 603662
  155. Tue Feb 16 08:22:56 2016 9 relations: 586191
  156. Tue Feb 16 08:22:56 2016 10+ relations: 3410395
  157. Tue Feb 16 08:22:56 2016 heaviest cycle: 28 relations
  158. Tue Feb 16 08:23:13 2016 RelProcTime: 6293
  159. Tue Feb 16 08:23:13 2016
  160. Tue Feb 16 08:23:13 2016 commencing linear algebra
  161. Tue Feb 16 08:23:15 2016 read 7607465 cycles
  162. Tue Feb 16 08:23:34 2016 cycles contain 24992236 unique relations
  163. Tue Feb 16 08:26:21 2016 read 24992236 relations
  164. Tue Feb 16 08:27:17 2016 using 20 quadratic characters above 4294917295
  165. Tue Feb 16 08:29:33 2016 building initial matrix
  166. Tue Feb 16 08:36:35 2016 memory use: 3502.8 MB
  167. Tue Feb 16 08:36:38 2016 read 7607465 cycles
  168. Tue Feb 16 08:36:40 2016 matrix is 7607288 x 7607465 (3979.9 MB) with weight 1211050711 (159.19/col)
  169. Tue Feb 16 08:36:40 2016 sparse part has weight 959635023 (126.14/col)
  170. Tue Feb 16 08:39:26 2016 filtering completed in 2 passes
  171. Tue Feb 16 08:39:28 2016 matrix is 7607283 x 7607460 (3979.9 MB) with weight 1211050457 (159.19/col)
  172. Tue Feb 16 08:39:28 2016 sparse part has weight 959634973 (126.14/col)
  173. Tue Feb 16 08:40:01 2016 matrix starts at (0, 0)
  174. Tue Feb 16 08:40:02 2016 matrix is 7607283 x 7607460 (3979.9 MB) with weight 1211050457 (159.19/col)
  175. Tue Feb 16 08:40:02 2016 sparse part has weight 959634973 (126.14/col)
  176. Tue Feb 16 08:40:02 2016 saving the first 48 matrix rows for later
  177. Tue Feb 16 08:40:04 2016 matrix includes 64 packed rows
  178. Tue Feb 16 08:40:05 2016 matrix is 7607235 x 7607460 (3878.0 MB) with weight 1043259248 (137.14/col)
  179. Tue Feb 16 08:40:05 2016 sparse part has weight 940509294 (123.63/col)
  180. Tue Feb 16 08:40:05 2016 using block size 8192 and superblock size 294912 for processor cache size 3072 kB
  181. Tue Feb 16 08:40:51 2016 commencing Lanczos iteration (2 threads)
  182. Tue Feb 16 08:40:51 2016 memory use: 3253.7 MB
  183. Tue Feb 16 08:42:44 2016 linear algebra at 0.0%, ETA 151h 0m
  184. Tue Feb 16 08:43:21 2016 checkpointing every 60000 dimensions
  185. Mon Feb 22 06:16:02 2016 lanczos halted after 120305 iterations (dim = 7607234)
  186. Mon Feb 22 06:16:13 2016 recovered 32 nontrivial dependencies
  187. Mon Feb 22 06:16:13 2016 BLanczosTime: 510780
  188. Mon Feb 22 06:16:13 2016
  189. Mon Feb 22 06:16:13 2016 commencing square root phase
  190. Mon Feb 22 06:16:13 2016 handling dependencies 1 to 64
  191. Mon Feb 22 06:16:13 2016 reading relations for dependency 1
  192. Mon Feb 22 06:16:14 2016 read 3801431 cycles
  193. Mon Feb 22 06:16:25 2016 cycles contain 12497466 unique relations
  194. Mon Feb 22 06:18:02 2016 read 12497466 relations
  195. Mon Feb 22 06:19:15 2016 multiplying 12497466 relations
  196. Mon Feb 22 06:42:45 2016 multiply complete, coefficients have about 704.40 million bits
  197. Mon Feb 22 06:42:49 2016 initial square root is modulo 2087167
  198. Mon Feb 22 07:09:55 2016 sqrtTime: 3222
  199. Mon Feb 22 07:09:55 2016 p62 factor: 44759574242121922804439718825827331957323307658500917675356489
  200. Mon Feb 22 07:09:55 2016 p102 factor: 403191373767604997806014519426833119591412612947520596022458100343630460153930235270884974763433011337
  201. Mon Feb 22 07:09:55 2016 elapsed time 144:31:36
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