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9m7_271

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Oct 17th, 2021
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  1. Sun Oct 10 16:08:00 2021
  2. Sun Oct 10 16:08:00 2021
  3. Sun Oct 10 16:08:00 2021 Msieve v. 1.52 (SVN unknown)
  4. Sun Oct 10 16:08:00 2021 random seeds: 21970dd0 9825932f
  5. Sun Oct 10 16:08:00 2021 factoring 35270657488670031472718944620351907728359534859682563508117652326413924389836364038591009818655008301921557664886782910425981073564591172900027341306679295290274958033970766464313050484918257643629955923290753756507493649677201167254279632759773 (245 digits)
  6. Sun Oct 10 16:08:01 2021 no P-1/P+1/ECM available, skipping
  7. Sun Oct 10 16:08:01 2021 commencing number field sieve (245-digit input)
  8. Sun Oct 10 16:08:01 2021 R0: 8727963568087712425891397479476727340041449
  9. Sun Oct 10 16:08:01 2021 R1: -107006904423598033356356300384937784807
  10. Sun Oct 10 16:08:01 2021 A0: -7
  11. Sun Oct 10 16:08:01 2021 A1: 0
  12. Sun Oct 10 16:08:01 2021 A2: 0
  13. Sun Oct 10 16:08:01 2021 A3: 0
  14. Sun Oct 10 16:08:01 2021 A4: 0
  15. Sun Oct 10 16:08:01 2021 A5: 0
  16. Sun Oct 10 16:08:01 2021 A6: 9
  17. Sun Oct 10 16:08:01 2021 skew 0.96, size 5.989e-013, alpha 2.716, combined = 8.059e-014 rroots = 2
  18. Sun Oct 10 16:08:01 2021
  19. Sun Oct 10 16:08:01 2021 commencing relation filtering
  20. Sun Oct 10 16:08:01 2021 setting target matrix density to 120.0
  21. Sun Oct 10 16:08:01 2021 estimated available RAM is 130978.7 MB
  22. Sun Oct 10 16:08:01 2021 commencing duplicate removal, pass 1
  23. Sun Oct 10 16:08:28 2021 error -15 reading relation 2765859
  24. Sun Oct 10 16:08:53 2021 error -15 reading relation 5315092
  25. Sun Oct 10 16:08:53 2021 error -9 reading relation 5316747
  26. Sun Oct 10 16:09:06 2021 error -5 reading relation 6599122
  27. Sun Oct 10 16:49:36 2021 error -15 reading relation 259171378
  28. Sun Oct 10 16:49:36 2021 error -9 reading relation 259183074
  29. Sun Oct 10 16:49:37 2021 error -15 reading relation 259269984
  30. Sun Oct 10 16:49:37 2021 error -9 reading relation 259282510
  31. Sun Oct 10 16:49:37 2021 error -9 reading relation 259291132
  32. Sun Oct 10 16:49:37 2021 error -15 reading relation 259305572
  33. Sun Oct 10 16:49:37 2021 skipped 1053 relations with b > 2^32
  34. Sun Oct 10 16:49:37 2021 found 58205188 hash collisions in 259309441 relations
  35. Sun Oct 10 16:50:05 2021 added 1218088 free relations
  36. Sun Oct 10 16:50:05 2021 commencing duplicate removal, pass 2
  37. Sun Oct 10 16:52:25 2021 found 61982002 duplicates and 198545527 unique relations
  38. Sun Oct 10 16:52:25 2021 memory use: 1449.5 MB
  39. Sun Oct 10 16:52:25 2021 reading ideals above 720000
  40. Sun Oct 10 16:52:26 2021 commencing singleton removal, initial pass
  41. Sun Oct 10 17:35:34 2021 memory use: 5512.0 MB
  42. Sun Oct 10 17:35:34 2021 reading all ideals from disk
  43. Sun Oct 10 17:35:38 2021 memory use: 8276.7 MB
  44. Sun Oct 10 17:36:22 2021 keeping 180985522 ideals with weight <= 200, target excess is 1066608
  45. Sun Oct 10 17:37:05 2021 commencing in-memory singleton removal
  46. Sun Oct 10 17:37:37 2021 begin with 198545527 relations and 180985522 unique ideals
  47. Sun Oct 10 17:42:43 2021 reduce to 136418687 relations and 113198501 ideals in 14 passes
  48. Sun Oct 10 17:42:43 2021 max relations containing the same ideal: 165
  49. Sun Oct 10 17:44:18 2021 removing 10965929 relations and 8965929 ideals in 2000000 cliques
  50. Sun Oct 10 17:44:22 2021 commencing in-memory singleton removal
  51. Sun Oct 10 17:44:41 2021 begin with 125452758 relations and 113198501 unique ideals
  52. Sun Oct 10 17:47:14 2021 reduce to 124745501 relations and 103511787 ideals in 8 passes
  53. Sun Oct 10 17:47:14 2021 max relations containing the same ideal: 159
  54. Sun Oct 10 17:48:42 2021 removing 8438727 relations and 6438727 ideals in 2000000 cliques
  55. Sun Oct 10 17:48:45 2021 commencing in-memory singleton removal
  56. Sun Oct 10 17:49:03 2021 begin with 116306774 relations and 103511787 unique ideals
  57. Sun Oct 10 17:51:03 2021 reduce to 115834214 relations and 96592700 ideals in 7 passes
  58. Sun Oct 10 17:51:03 2021 max relations containing the same ideal: 150
  59. Sun Oct 10 17:52:25 2021 removing 7680950 relations and 5680950 ideals in 2000000 cliques
  60. Sun Oct 10 17:52:28 2021 commencing in-memory singleton removal
  61. Sun Oct 10 17:52:45 2021 begin with 108153264 relations and 96592700 unique ideals
  62. Sun Oct 10 17:54:54 2021 reduce to 107734125 relations and 90485694 ideals in 8 passes
  63. Sun Oct 10 17:54:54 2021 max relations containing the same ideal: 142
  64. Sun Oct 10 17:56:07 2021 removing 7300048 relations and 5300048 ideals in 2000000 cliques
  65. Sun Oct 10 17:56:10 2021 commencing in-memory singleton removal
  66. Sun Oct 10 17:56:25 2021 begin with 100434077 relations and 90485694 unique ideals
  67. Sun Oct 10 17:58:25 2021 reduce to 100036484 relations and 84781403 ideals in 8 passes
  68. Sun Oct 10 17:58:25 2021 max relations containing the same ideal: 135
  69. Sun Oct 10 17:59:37 2021 removing 7067956 relations and 5067956 ideals in 2000000 cliques
  70. Sun Oct 10 17:59:40 2021 commencing in-memory singleton removal
  71. Sun Oct 10 17:59:54 2021 begin with 92968528 relations and 84781403 unique ideals
  72. Sun Oct 10 18:01:30 2021 reduce to 92577147 relations and 79315078 ideals in 7 passes
  73. Sun Oct 10 18:01:30 2021 max relations containing the same ideal: 128
  74. Sun Oct 10 18:02:35 2021 removing 6915508 relations and 4915508 ideals in 2000000 cliques
  75. Sun Oct 10 18:02:38 2021 commencing in-memory singleton removal
  76. Sun Oct 10 18:02:51 2021 begin with 85661639 relations and 79315078 unique ideals
  77. Sun Oct 10 18:04:19 2021 reduce to 85267317 relations and 73997702 ideals in 7 passes
  78. Sun Oct 10 18:04:19 2021 max relations containing the same ideal: 122
  79. Sun Oct 10 18:05:19 2021 removing 6812284 relations and 4812284 ideals in 2000000 cliques
  80. Sun Oct 10 18:05:22 2021 commencing in-memory singleton removal
  81. Sun Oct 10 18:05:33 2021 begin with 78455033 relations and 73997702 unique ideals
  82. Sun Oct 10 18:06:53 2021 reduce to 78051357 relations and 68773382 ideals in 7 passes
  83. Sun Oct 10 18:06:53 2021 max relations containing the same ideal: 113
  84. Sun Oct 10 18:07:50 2021 removing 6743696 relations and 4743696 ideals in 2000000 cliques
  85. Sun Oct 10 18:07:52 2021 commencing in-memory singleton removal
  86. Sun Oct 10 18:08:03 2021 begin with 71307661 relations and 68773382 unique ideals
  87. Sun Oct 10 18:09:16 2021 reduce to 70885144 relations and 63597715 ideals in 7 passes
  88. Sun Oct 10 18:09:16 2021 max relations containing the same ideal: 109
  89. Sun Oct 10 18:10:07 2021 removing 6702580 relations and 4702580 ideals in 2000000 cliques
  90. Sun Oct 10 18:10:09 2021 commencing in-memory singleton removal
  91. Sun Oct 10 18:10:19 2021 begin with 64182564 relations and 63597715 unique ideals
  92. Sun Oct 10 18:11:23 2021 reduce to 63732828 relations and 58434595 ideals in 7 passes
  93. Sun Oct 10 18:11:23 2021 max relations containing the same ideal: 100
  94. Sun Oct 10 18:12:09 2021 removing 6680798 relations and 4680798 ideals in 2000000 cliques
  95. Sun Oct 10 18:12:11 2021 commencing in-memory singleton removal
  96. Sun Oct 10 18:12:19 2021 begin with 57052030 relations and 58434595 unique ideals
  97. Sun Oct 10 18:13:24 2021 reduce to 56560011 relations and 53248522 ideals in 8 passes
  98. Sun Oct 10 18:13:24 2021 max relations containing the same ideal: 90
  99. Sun Oct 10 18:14:04 2021 removing 6684989 relations and 4684989 ideals in 2000000 cliques
  100. Sun Oct 10 18:14:06 2021 commencing in-memory singleton removal
  101. Sun Oct 10 18:14:13 2021 begin with 49875022 relations and 53248522 unique ideals
  102. Sun Oct 10 18:15:08 2021 reduce to 49314485 relations and 47986202 ideals in 8 passes
  103. Sun Oct 10 18:15:08 2021 max relations containing the same ideal: 83
  104. Sun Oct 10 18:15:43 2021 removing 517560 relations and 426543 ideals in 91017 cliques
  105. Sun Oct 10 18:15:44 2021 commencing in-memory singleton removal
  106. Sun Oct 10 18:15:51 2021 begin with 48796925 relations and 47986202 unique ideals
  107. Sun Oct 10 18:16:32 2021 reduce to 48793518 relations and 47556244 ideals in 6 passes
  108. Sun Oct 10 18:16:32 2021 max relations containing the same ideal: 82
  109. Sun Oct 10 18:16:45 2021 relations with 0 large ideals: 39245
  110. Sun Oct 10 18:16:45 2021 relations with 1 large ideals: 17412
  111. Sun Oct 10 18:16:45 2021 relations with 2 large ideals: 183111
  112. Sun Oct 10 18:16:45 2021 relations with 3 large ideals: 1199984
  113. Sun Oct 10 18:16:45 2021 relations with 4 large ideals: 4314033
  114. Sun Oct 10 18:16:45 2021 relations with 5 large ideals: 9339172
  115. Sun Oct 10 18:16:45 2021 relations with 6 large ideals: 12753454
  116. Sun Oct 10 18:16:45 2021 relations with 7+ large ideals: 20947107
  117. Sun Oct 10 18:16:45 2021 commencing 2-way merge
  118. Sun Oct 10 18:17:33 2021 reduce to 33057172 relation sets and 31819898 unique ideals
  119. Sun Oct 10 18:17:33 2021 commencing full merge
  120. Sun Oct 10 18:36:02 2021 memory use: 4275.0 MB
  121. Sun Oct 10 18:36:10 2021 found 15085649 cycles, need 14990098
  122. Sun Oct 10 18:36:11 2021 weight of 14990098 cycles is about 1799078205 (120.02/cycle)
  123. Sun Oct 10 18:36:11 2021 distribution of cycle lengths:
  124. Sun Oct 10 18:36:11 2021 1 relations: 596062
  125. Sun Oct 10 18:36:11 2021 2 relations: 922628
  126. Sun Oct 10 18:36:11 2021 3 relations: 1109182
  127. Sun Oct 10 18:36:11 2021 4 relations: 1154658
  128. Sun Oct 10 18:36:11 2021 5 relations: 1184614
  129. Sun Oct 10 18:36:11 2021 6 relations: 1158620
  130. Sun Oct 10 18:36:11 2021 7 relations: 1126049
  131. Sun Oct 10 18:36:11 2021 8 relations: 1062365
  132. Sun Oct 10 18:36:11 2021 9 relations: 988733
  133. Sun Oct 10 18:36:11 2021 10+ relations: 5687187
  134. Sun Oct 10 18:36:11 2021 heaviest cycle: 28 relations
  135. Sun Oct 10 18:36:32 2021 commencing cycle optimization
  136. Sun Oct 10 18:37:03 2021 start with 128769479 relations
  137. Sun Oct 10 18:44:06 2021 pruned 6167866 relations
  138. Sun Oct 10 18:44:06 2021 memory use: 3359.8 MB
  139. Sun Oct 10 18:44:06 2021 distribution of cycle lengths:
  140. Sun Oct 10 18:44:06 2021 1 relations: 596062
  141. Sun Oct 10 18:44:06 2021 2 relations: 947443
  142. Sun Oct 10 18:44:06 2021 3 relations: 1161637
  143. Sun Oct 10 18:44:06 2021 4 relations: 1208072
  144. Sun Oct 10 18:44:06 2021 5 relations: 1248786
  145. Sun Oct 10 18:44:06 2021 6 relations: 1218743
  146. Sun Oct 10 18:44:06 2021 7 relations: 1187344
  147. Sun Oct 10 18:44:06 2021 8 relations: 1114157
  148. Sun Oct 10 18:44:06 2021 9 relations: 1033076
  149. Sun Oct 10 18:44:06 2021 10+ relations: 5274778
  150. Sun Oct 10 18:44:06 2021 heaviest cycle: 28 relations
  151. Sun Oct 10 18:44:44 2021 RelProcTime: 9403
  152. Sun Oct 10 18:44:44 2021
  153. Sun Oct 10 18:44:44 2021 commencing linear algebra
  154. Sun Oct 10 18:44:48 2021 read 14990098 cycles
  155. Sun Oct 10 18:45:26 2021 cycles contain 48199071 unique relations
  156. Sun Oct 10 18:53:54 2021 read 48199071 relations
  157. Sun Oct 10 18:55:52 2021 using 20 quadratic characters above 2147482682
  158. Sun Oct 10 18:59:47 2021 building initial matrix
  159. Sun Oct 10 19:11:28 2021 memory use: 6146.7 MB
  160. Sun Oct 10 19:11:51 2021 read 14990098 cycles
  161. Sun Oct 10 19:11:55 2021 matrix is 14989921 x 14990098 (6971.8 MB) with weight 1975454071 (131.78/col)
  162. Sun Oct 10 19:11:55 2021 sparse part has weight 1677708552 (111.92/col)
  163. Sun Oct 10 19:17:12 2021 filtering completed in 2 passes
  164. Sun Oct 10 19:17:17 2021 matrix is 14989537 x 14989714 (6971.7 MB) with weight 1975441159 (131.79/col)
  165. Sun Oct 10 19:17:17 2021 sparse part has weight 1677703402 (111.92/col)
  166. Sun Oct 10 19:18:29 2021 matrix starts at (0, 0)
  167. Sun Oct 10 19:18:33 2021 matrix is 14989537 x 14989714 (6971.7 MB) with weight 1975441159 (131.79/col)
  168. Sun Oct 10 19:18:33 2021 sparse part has weight 1677703402 (111.92/col)
  169. Sun Oct 10 19:18:33 2021 saving the first 48 matrix rows for later
  170. Sun Oct 10 19:18:39 2021 matrix includes 64 packed rows
  171. Sun Oct 10 19:18:42 2021 matrix is 14989489 x 14989714 (6728.6 MB) with weight 1707565049 (113.92/col)
  172. Sun Oct 10 19:18:42 2021 sparse part has weight 1613969242 (107.67/col)
  173. Sun Oct 10 19:18:42 2021 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  174. Sun Oct 10 19:20:23 2021 commencing Lanczos iteration (24 threads)
  175. Sun Oct 10 19:20:23 2021 memory use: 5801.2 MB
  176. Sun Oct 10 19:20:53 2021 linear algebra at 0.0%, ETA 76h59m
  177. Sun Oct 10 19:21:02 2021 checkpointing every 200000 dimensions
  178. Wed Oct 13 18:40:18 2021
  179. Wed Oct 13 18:40:18 2021
  180. Wed Oct 13 18:40:18 2021 Msieve v. 1.52 (SVN unknown)
  181. Wed Oct 13 18:40:18 2021 random seeds: 816f0e00 68bd0a21
  182. Wed Oct 13 18:40:18 2021 factoring 35270657488670031472718944620351907728359534859682563508117652326413924389836364038591009818655008301921557664886782910425981073564591172900027341306679295290274958033970766464313050484918257643629955923290753756507493649677201167254279632759773 (245 digits)
  183. Wed Oct 13 18:40:19 2021 no P-1/P+1/ECM available, skipping
  184. Wed Oct 13 18:40:19 2021 commencing number field sieve (245-digit input)
  185. Wed Oct 13 18:40:19 2021 R0: 8727963568087712425891397479476727340041449
  186. Wed Oct 13 18:40:19 2021 R1: -107006904423598033356356300384937784807
  187. Wed Oct 13 18:40:19 2021 A0: -7
  188. Wed Oct 13 18:40:19 2021 A1: 0
  189. Wed Oct 13 18:40:19 2021 A2: 0
  190. Wed Oct 13 18:40:19 2021 A3: 0
  191. Wed Oct 13 18:40:19 2021 A4: 0
  192. Wed Oct 13 18:40:19 2021 A5: 0
  193. Wed Oct 13 18:40:19 2021 A6: 9
  194. Wed Oct 13 18:40:19 2021 skew 0.96, size 5.989e-013, alpha 2.716, combined = 8.059e-014 rroots = 2
  195. Wed Oct 13 18:40:19 2021
  196. Wed Oct 13 18:40:19 2021 commencing linear algebra
  197. Wed Oct 13 18:40:35 2021 matrix starts at (0, 0)
  198. Wed Oct 13 18:40:40 2021 matrix is 14989537 x 14989714 (6971.7 MB) with weight 1975441159 (131.79/col)
  199. Wed Oct 13 18:40:40 2021 sparse part has weight 1677703402 (111.92/col)
  200. Wed Oct 13 18:40:40 2021 saving the first 48 matrix rows for later
  201. Wed Oct 13 18:40:45 2021 matrix includes 64 packed rows
  202. Wed Oct 13 18:40:48 2021 matrix is 14989489 x 14989714 (6728.6 MB) with weight 1707565049 (113.92/col)
  203. Wed Oct 13 18:40:48 2021 sparse part has weight 1613969242 (107.67/col)
  204. Wed Oct 13 18:40:48 2021 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  205. Wed Oct 13 18:42:16 2021 commencing Lanczos iteration (24 threads)
  206. Wed Oct 13 18:42:16 2021 memory use: 5801.2 MB
  207. Wed Oct 13 18:42:18 2021 restarting at iteration 211919 (dim = 13400003)
  208. Wed Oct 13 18:42:45 2021 linear algebra at 89.4%, ETA 7h50m
  209. Wed Oct 13 18:42:54 2021 checkpointing every 210000 dimensions
  210. Thu Oct 14 02:56:55 2021 lanczos halted after 237057 iterations (dim = 14989484)
  211. Thu Oct 14 02:57:13 2021 recovered 33 nontrivial dependencies
  212. Thu Oct 14 02:57:21 2021 BLanczosTime: 29822
  213. Thu Oct 14 02:57:21 2021
  214. Thu Oct 14 02:57:21 2021 commencing square root phase
  215. Thu Oct 14 02:57:21 2021 reading relations for dependency 1
  216. Thu Oct 14 02:57:25 2021 read 7493387 cycles
  217. Thu Oct 14 02:57:43 2021 cycles contain 24092490 unique relations
  218. Thu Oct 14 03:02:13 2021 read 24092490 relations
  219. Thu Oct 14 03:04:45 2021 multiplying 24092490 relations
  220. Thu Oct 14 03:30:43 2021 multiply complete, coefficients have about 706.67 million bits
  221. Thu Oct 14 03:30:52 2021 initial square root is modulo 2187259
  222. Thu Oct 14 04:00:36 2021 GCD is N, no factor found
  223. Thu Oct 14 04:00:36 2021 reading relations for dependency 2
  224. Thu Oct 14 04:00:40 2021 read 7495171 cycles
  225. Thu Oct 14 04:00:57 2021 cycles contain 24098546 unique relations
  226. Thu Oct 14 04:05:30 2021 read 24098546 relations
  227. Thu Oct 14 04:08:01 2021 multiplying 24098546 relations
  228. Thu Oct 14 04:33:55 2021 multiply complete, coefficients have about 706.84 million bits
  229. Thu Oct 14 04:34:04 2021 initial square root is modulo 2195233
  230. Thu Oct 14 05:03:50 2021 sqrtTime: 7589
  231. Thu Oct 14 05:03:50 2021 prp110 factor: 44187799856451134135336761569870772025101337420212707613982574409412374479175133977213216024294816246453250053
  232. Thu Oct 14 05:03:50 2021 prp135 factor: 798198996176559867388210821407326867474795449385677207573753895704841468408293956407515676851782262311396166025521567676021017927349241
  233. Thu Oct 14 05:03:50 2021 elapsed time 10:23:32
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