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8p5_329

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Jan 31st, 2020
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  1. Fri Jan 24 15:44:44 2020
  2. Fri Jan 24 15:44:44 2020 Msieve v. 1.54 (SVN 1025)
  3. Fri Jan 24 15:44:44 2020 random seeds: 910094df 7b445b82
  4. Fri Jan 24 15:44:44 2020 factoring 14359449080875437472633587396991910852269127273078700063914124613574966169537681509864122066124547002460532656013281005868600864303278968594179371338539255448142269575892034739817939869761 (188 digits)
  5. Fri Jan 24 15:44:44 2020 searching for 15-digit factors
  6. Fri Jan 24 15:44:45 2020 commencing number field sieve (188-digit input)
  7. Fri Jan 24 15:44:45 2020 R0: 2787593149816327892691964784081045188247552
  8. Fri Jan 24 15:44:45 2020 R1: -710542735760100185871124267578125
  9. Fri Jan 24 15:44:45 2020 A0: 1
  10. Fri Jan 24 15:44:45 2020 A1: -1
  11. Fri Jan 24 15:44:45 2020 A2: 1
  12. Fri Jan 24 15:44:45 2020 A3: -1
  13. Fri Jan 24 15:44:45 2020 A4: 1
  14. Fri Jan 24 15:44:45 2020 A5: -1
  15. Fri Jan 24 15:44:45 2020 A6: 1
  16. Fri Jan 24 15:44:45 2020 skew 1.00, size 1.451e-12, alpha 2.428, combined = 1.529e-13 rroots = 0
  17. Fri Jan 24 15:44:45 2020
  18. Fri Jan 24 15:44:45 2020 commencing relation filtering
  19. Fri Jan 24 15:44:45 2020 setting target matrix density to 116.0
  20. Fri Jan 24 15:44:45 2020 estimated available RAM is 15984.6 MB
  21. Fri Jan 24 15:44:45 2020 commencing duplicate removal, pass 1
  22. Fri Jan 24 16:00:11 2020 error -15 reading relation 136332656
  23. Fri Jan 24 16:01:27 2020 error -1 reading relation 147437207
  24. Fri Jan 24 16:03:10 2020 error -15 reading relation 162401044
  25. Fri Jan 24 16:03:45 2020 error -15 reading relation 167452343
  26. Fri Jan 24 16:03:52 2020 error -11 reading relation 168585629
  27. Fri Jan 24 16:03:59 2020 error -1 reading relation 169521082
  28. Fri Jan 24 16:04:00 2020 error -15 reading relation 169741326
  29. Fri Jan 24 16:06:54 2020 skipped 145 relations with b > 2^32
  30. Fri Jan 24 16:06:54 2020 skipped 3 relations with composite factors
  31. Fri Jan 24 16:06:54 2020 found 8121815 hash collisions in 192297206 relations
  32. Fri Jan 24 16:06:54 2020 commencing duplicate removal, pass 2
  33. Fri Jan 24 16:07:44 2020 found 0 duplicates and 192297206 unique relations
  34. Fri Jan 24 16:07:44 2020 memory use: 522.4 MB
  35. Fri Jan 24 16:07:44 2020 reading ideals above 133890048
  36. Fri Jan 24 16:07:44 2020 commencing singleton removal, initial pass
  37. Fri Jan 24 16:24:00 2020 memory use: 5512.0 MB
  38. Fri Jan 24 16:24:00 2020 reading all ideals from disk
  39. Fri Jan 24 16:24:06 2020 memory use: 3797.1 MB
  40. Fri Jan 24 16:24:14 2020 commencing in-memory singleton removal
  41. Fri Jan 24 16:24:21 2020 begin with 192297206 relations and 164980707 unique ideals
  42. Fri Jan 24 16:25:48 2020 reduce to 126579123 relations and 92700917 ideals in 15 passes
  43. Fri Jan 24 16:25:48 2020 max relations containing the same ideal: 38
  44. Fri Jan 24 16:25:54 2020 reading ideals above 720000
  45. Fri Jan 24 16:25:54 2020 commencing singleton removal, initial pass
  46. Fri Jan 24 16:39:45 2020 memory use: 3012.0 MB
  47. Fri Jan 24 16:39:45 2020 reading all ideals from disk
  48. Fri Jan 24 16:39:55 2020 memory use: 5086.7 MB
  49. Fri Jan 24 16:40:08 2020 keeping 107227445 ideals with weight <= 200, target excess is 644425
  50. Fri Jan 24 16:40:22 2020 commencing in-memory singleton removal
  51. Fri Jan 24 16:40:32 2020 begin with 126579123 relations and 107227445 unique ideals
  52. Fri Jan 24 16:40:53 2020 reduce to 126579108 relations and 107227430 ideals in 2 passes
  53. Fri Jan 24 16:40:53 2020 max relations containing the same ideal: 200
  54. Fri Jan 24 16:41:42 2020 removing 11553979 relations and 9553979 ideals in 2000000 cliques
  55. Fri Jan 24 16:41:45 2020 commencing in-memory singleton removal
  56. Fri Jan 24 16:41:54 2020 begin with 115025129 relations and 107227430 unique ideals
  57. Fri Jan 24 16:43:07 2020 reduce to 114163498 relations and 96793342 ideals in 8 passes
  58. Fri Jan 24 16:43:07 2020 max relations containing the same ideal: 195
  59. Fri Jan 24 16:43:52 2020 removing 8810928 relations and 6810928 ideals in 2000000 cliques
  60. Fri Jan 24 16:43:55 2020 commencing in-memory singleton removal
  61. Fri Jan 24 16:44:03 2020 begin with 105352570 relations and 96793342 unique ideals
  62. Fri Jan 24 16:45:00 2020 reduce to 104793128 relations and 89412701 ideals in 7 passes
  63. Fri Jan 24 16:45:00 2020 max relations containing the same ideal: 187
  64. Fri Jan 24 16:45:40 2020 removing 7957702 relations and 5957702 ideals in 2000000 cliques
  65. Fri Jan 24 16:45:42 2020 commencing in-memory singleton removal
  66. Fri Jan 24 16:45:50 2020 begin with 96835426 relations and 89412701 unique ideals
  67. Fri Jan 24 16:46:41 2020 reduce to 96349632 relations and 82960062 ideals in 7 passes
  68. Fri Jan 24 16:46:41 2020 max relations containing the same ideal: 179
  69. Fri Jan 24 16:47:17 2020 removing 7513938 relations and 5513938 ideals in 2000000 cliques
  70. Fri Jan 24 16:47:20 2020 commencing in-memory singleton removal
  71. Fri Jan 24 16:47:26 2020 begin with 88835694 relations and 82960062 unique ideals
  72. Fri Jan 24 16:48:13 2020 reduce to 88377347 relations and 76978831 ideals in 7 passes
  73. Fri Jan 24 16:48:13 2020 max relations containing the same ideal: 169
  74. Fri Jan 24 16:48:47 2020 removing 7236652 relations and 5236652 ideals in 2000000 cliques
  75. Fri Jan 24 16:48:49 2020 commencing in-memory singleton removal
  76. Fri Jan 24 16:48:55 2020 begin with 81140695 relations and 76978831 unique ideals
  77. Fri Jan 24 16:49:37 2020 reduce to 80690223 relations and 71282597 ideals in 7 passes
  78. Fri Jan 24 16:49:37 2020 max relations containing the same ideal: 158
  79. Fri Jan 24 16:50:08 2020 removing 7044770 relations and 5044770 ideals in 2000000 cliques
  80. Fri Jan 24 16:50:10 2020 commencing in-memory singleton removal
  81. Fri Jan 24 16:50:15 2020 begin with 73645453 relations and 71282597 unique ideals
  82. Fri Jan 24 16:50:53 2020 reduce to 73189332 relations and 65771578 ideals in 7 passes
  83. Fri Jan 24 16:50:53 2020 max relations containing the same ideal: 150
  84. Fri Jan 24 16:51:21 2020 removing 6914220 relations and 4914220 ideals in 2000000 cliques
  85. Fri Jan 24 16:51:23 2020 commencing in-memory singleton removal
  86. Fri Jan 24 16:51:28 2020 begin with 66275112 relations and 65771578 unique ideals
  87. Fri Jan 24 16:52:01 2020 reduce to 65798828 relations and 60369459 ideals in 7 passes
  88. Fri Jan 24 16:52:01 2020 max relations containing the same ideal: 140
  89. Fri Jan 24 16:52:26 2020 removing 6831213 relations and 4831213 ideals in 2000000 cliques
  90. Fri Jan 24 16:52:28 2020 commencing in-memory singleton removal
  91. Fri Jan 24 16:52:32 2020 begin with 58967615 relations and 60369459 unique ideals
  92. Fri Jan 24 16:53:06 2020 reduce to 58446743 relations and 55003615 ideals in 8 passes
  93. Fri Jan 24 16:53:06 2020 max relations containing the same ideal: 127
  94. Fri Jan 24 16:53:28 2020 removing 6799133 relations and 4799133 ideals in 2000000 cliques
  95. Fri Jan 24 16:53:30 2020 commencing in-memory singleton removal
  96. Fri Jan 24 16:53:33 2020 begin with 51647610 relations and 55003615 unique ideals
  97. Fri Jan 24 16:54:02 2020 reduce to 51059087 relations and 49598550 ideals in 8 passes
  98. Fri Jan 24 16:54:02 2020 max relations containing the same ideal: 117
  99. Fri Jan 24 16:54:22 2020 removing 2983154 relations and 2270151 ideals in 713003 cliques
  100. Fri Jan 24 16:54:23 2020 commencing in-memory singleton removal
  101. Fri Jan 24 16:54:26 2020 begin with 48075933 relations and 49598550 unique ideals
  102. Fri Jan 24 16:54:49 2020 reduce to 47949749 relations and 47200702 ideals in 7 passes
  103. Fri Jan 24 16:54:49 2020 max relations containing the same ideal: 113
  104. Fri Jan 24 16:55:14 2020 relations with 0 large ideals: 49022
  105. Fri Jan 24 16:55:14 2020 relations with 1 large ideals: 8929
  106. Fri Jan 24 16:55:14 2020 relations with 2 large ideals: 91635
  107. Fri Jan 24 16:55:14 2020 relations with 3 large ideals: 688960
  108. Fri Jan 24 16:55:14 2020 relations with 4 large ideals: 2876398
  109. Fri Jan 24 16:55:14 2020 relations with 5 large ideals: 7283688
  110. Fri Jan 24 16:55:14 2020 relations with 6 large ideals: 11680537
  111. Fri Jan 24 16:55:14 2020 relations with 7+ large ideals: 25270580
  112. Fri Jan 24 16:55:14 2020 commencing 2-way merge
  113. Fri Jan 24 16:55:40 2020 reduce to 32695788 relation sets and 31946741 unique ideals
  114. Fri Jan 24 16:55:40 2020 commencing full merge
  115. Fri Jan 24 17:05:49 2020 memory use: 4266.6 MB
  116. Fri Jan 24 17:05:51 2020 found 14655058 cycles, need 14648941
  117. Fri Jan 24 17:05:56 2020 weight of 14648941 cycles is about 1699751334 (116.03/cycle)
  118. Fri Jan 24 17:05:56 2020 distribution of cycle lengths:
  119. Fri Jan 24 17:05:56 2020 1 relations: 695034
  120. Fri Jan 24 17:05:56 2020 2 relations: 896992
  121. Fri Jan 24 17:05:56 2020 3 relations: 1049835
  122. Fri Jan 24 17:05:56 2020 4 relations: 1085156
  123. Fri Jan 24 17:05:56 2020 5 relations: 1101018
  124. Fri Jan 24 17:05:56 2020 6 relations: 1077424
  125. Fri Jan 24 17:05:56 2020 7 relations: 1044515
  126. Fri Jan 24 17:05:56 2020 8 relations: 989228
  127. Fri Jan 24 17:05:56 2020 9 relations: 928463
  128. Fri Jan 24 17:05:56 2020 10+ relations: 5781276
  129. Fri Jan 24 17:05:56 2020 heaviest cycle: 28 relations
  130. Fri Jan 24 17:05:59 2020 commencing cycle optimization
  131. Fri Jan 24 17:06:22 2020 start with 129312111 relations
  132. Fri Jan 24 17:10:21 2020 pruned 6018104 relations
  133. Fri Jan 24 17:10:22 2020 memory use: 3332.6 MB
  134. Fri Jan 24 17:10:22 2020 distribution of cycle lengths:
  135. Fri Jan 24 17:10:22 2020 1 relations: 695034
  136. Fri Jan 24 17:10:22 2020 2 relations: 918373
  137. Fri Jan 24 17:10:22 2020 3 relations: 1094323
  138. Fri Jan 24 17:10:22 2020 4 relations: 1130542
  139. Fri Jan 24 17:10:22 2020 5 relations: 1157148
  140. Fri Jan 24 17:10:22 2020 6 relations: 1129009
  141. Fri Jan 24 17:10:22 2020 7 relations: 1098093
  142. Fri Jan 24 17:10:22 2020 8 relations: 1034962
  143. Fri Jan 24 17:10:22 2020 9 relations: 969877
  144. Fri Jan 24 17:10:22 2020 10+ relations: 5421580
  145. Fri Jan 24 17:10:22 2020 heaviest cycle: 28 relations
  146. Fri Jan 24 17:10:47 2020 RelProcTime: 5162
  147. Fri Jan 24 17:10:47 2020
  148. Fri Jan 24 17:10:47 2020 commencing linear algebra
  149. Fri Jan 24 17:10:48 2020 read 14648941 cycles
  150. Fri Jan 24 17:11:14 2020 cycles contain 47554999 unique relations
  151. Fri Jan 24 17:14:58 2020 read 47554999 relations
  152. Fri Jan 24 17:16:19 2020 using 20 quadratic characters above 4294917295
  153. Fri Jan 24 17:18:59 2020 building initial matrix
  154. Fri Jan 24 17:26:10 2020 memory use: 5946.0 MB
  155. Fri Jan 24 17:26:15 2020 read 14648941 cycles
  156. Fri Jan 24 17:26:17 2020 matrix is 14648764 x 14648941 (6679.5 MB) with weight 1895795049 (129.42/col)
  157. Fri Jan 24 17:26:17 2020 sparse part has weight 1589846797 (108.53/col)
  158. Fri Jan 24 17:28:53 2020 filtering completed in 2 passes
  159. Fri Jan 24 17:28:56 2020 matrix is 14648710 x 14648887 (6679.5 MB) with weight 1895793433 (129.42/col)
  160. Fri Jan 24 17:28:56 2020 sparse part has weight 1589846403 (108.53/col)
  161. Fri Jan 24 17:29:34 2020 matrix starts at (0, 0)
  162. Fri Jan 24 17:29:36 2020 matrix is 14648710 x 14648887 (6679.5 MB) with weight 1895793433 (129.42/col)
  163. Fri Jan 24 17:29:36 2020 sparse part has weight 1589846403 (108.53/col)
  164. Fri Jan 24 17:29:36 2020 saving the first 48 matrix rows for later
  165. Fri Jan 24 17:29:38 2020 matrix includes 64 packed rows
  166. Fri Jan 24 17:29:40 2020 matrix is 14648662 x 14648887 (6399.9 MB) with weight 1634645635 (111.59/col)
  167. Fri Jan 24 17:29:40 2020 sparse part has weight 1531214622 (104.53/col)
  168. Fri Jan 24 17:29:40 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  169. Fri Jan 24 17:30:31 2020 commencing Lanczos iteration (4 threads)
  170. Fri Jan 24 17:30:31 2020 memory use: 6175.5 MB
  171. Fri Jan 24 17:31:39 2020 linear algebra at 0.0%, ETA 174h13m
  172. Fri Jan 24 17:32:00 2020 checkpointing every 90000 dimensions
  173. Thu Jan 30 23:52:37 2020 lanczos halted after 231655 iterations (dim = 14648654)
  174. Thu Jan 30 23:53:04 2020 recovered 36 nontrivial dependencies
  175. Thu Jan 30 23:53:04 2020 BLanczosTime: 542537
  176. Thu Jan 30 23:53:04 2020
  177. Thu Jan 30 23:53:04 2020 commencing square root phase
  178. Thu Jan 30 23:53:04 2020 handling dependencies 1 to 64
  179. Thu Jan 30 23:53:04 2020 reading relations for dependency 1
  180. Thu Jan 30 23:53:05 2020 read 7325476 cycles
  181. Thu Jan 30 23:53:16 2020 cycles contain 23774698 unique relations
  182. Thu Jan 30 23:55:19 2020 read 23774698 relations
  183. Thu Jan 30 23:56:32 2020 multiplying 23774698 relations
  184. Fri Jan 31 00:10:37 2020 multiply complete, coefficients have about 602.17 million bits
  185. Fri Jan 31 00:10:41 2020 initial square root is modulo 252607
  186. Fri Jan 31 00:25:34 2020 GCD is 1, no factor found
  187. Fri Jan 31 00:25:34 2020 reading relations for dependency 2
  188. Fri Jan 31 00:25:35 2020 read 7324409 cycles
  189. Fri Jan 31 00:25:46 2020 cycles contain 23776008 unique relations
  190. Fri Jan 31 00:27:49 2020 read 23776008 relations
  191. Fri Jan 31 00:29:03 2020 multiplying 23776008 relations
  192. Fri Jan 31 00:43:07 2020 multiply complete, coefficients have about 602.19 million bits
  193. Fri Jan 31 00:43:10 2020 initial square root is modulo 252731
  194. Fri Jan 31 00:58:04 2020 GCD is N, no factor found
  195. Fri Jan 31 00:58:04 2020 reading relations for dependency 3
  196. Fri Jan 31 00:58:05 2020 read 7324221 cycles
  197. Fri Jan 31 00:58:16 2020 cycles contain 23774096 unique relations
  198. Fri Jan 31 01:00:18 2020 read 23774096 relations
  199. Fri Jan 31 01:01:32 2020 multiplying 23774096 relations
  200. Fri Jan 31 01:15:36 2020 multiply complete, coefficients have about 602.15 million bits
  201. Fri Jan 31 01:15:39 2020 initial square root is modulo 252481
  202. Fri Jan 31 01:30:32 2020 sqrtTime: 5848
  203. Fri Jan 31 01:30:32 2020 p91 factor: 4290110109836328836667893112386723655290263662652968405457500771487516514653185265707123503
  204. Fri Jan 31 01:30:32 2020 p97 factor: 3347105019041868378733734591865978148895523181151990813888517153530230264040256387077590285875087
  205. Fri Jan 31 01:30:32 2020 elapsed time 153:45:48
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