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Msieve log of 122__301_7m1

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Jul 5th, 2021
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  1. Mon Jul 05 06:36:14 2021
  2. Mon Jul 05 06:36:14 2021
  3. Mon Jul 05 06:36:14 2021 Msieve v. 1.53 (SVN 988)
  4. Mon Jul 05 06:36:14 2021 random seeds: beaae510 ca5a6e82
  5. Mon Jul 05 06:36:14 2021 factoring 7545198242316946421062723563124577893680572170398734754100223910383699386677507588445266595306962075985672932605510694215318966380573873483415058392029377076937378445338603 (172 digits)
  6. Mon Jul 05 06:36:15 2021 searching for 15-digit factors
  7. Mon Jul 05 06:36:15 2021 commencing number field sieve (172-digit input)
  8. Mon Jul 05 06:36:15 2021 R0: 1220956244111245455703580956465386301
  9. Mon Jul 05 06:36:15 2021 R1: -1
  10. Mon Jul 05 06:36:15 2021 A0: 1
  11. Mon Jul 05 06:36:15 2021 A1: 1
  12. Mon Jul 05 06:36:15 2021 A2: 1
  13. Mon Jul 05 06:36:15 2021 A3: 1
  14. Mon Jul 05 06:36:15 2021 A4: 1
  15. Mon Jul 05 06:36:15 2021 A5: 1
  16. Mon Jul 05 06:36:15 2021 A6: 1
  17. Mon Jul 05 06:36:15 2021 skew 1.00, size 9.515e-011, alpha 2.428, combined = 3.233e-012 rroots = 0
  18. Mon Jul 05 06:36:15 2021
  19. Mon Jul 05 06:36:15 2021 commencing relation filtering
  20. Mon Jul 05 06:36:15 2021 setting target matrix density to 100.0
  21. Mon Jul 05 06:36:15 2021 estimated available RAM is 16151.1 MB
  22. Mon Jul 05 06:36:15 2021 commencing duplicate removal, pass 1
  23. Mon Jul 05 06:38:03 2021 error -5 reading relation 14346262
  24. Mon Jul 05 06:39:58 2021 error -9 reading relation 29208557
  25. Mon Jul 05 06:40:22 2021 error -9 reading relation 32221745
  26. Mon Jul 05 06:40:24 2021 error -15 reading relation 32360744
  27. Mon Jul 05 06:40:24 2021 error -9 reading relation 32470675
  28. Mon Jul 05 06:40:25 2021 error -15 reading relation 32482957
  29. Mon Jul 05 06:40:28 2021 error -15 reading relation 32896706
  30. Mon Jul 05 06:40:44 2021 error -9 reading relation 34947592
  31. Mon Jul 05 06:40:44 2021 error -15 reading relation 35003938
  32. Mon Jul 05 06:40:44 2021 error -1 reading relation 35003939
  33. Mon Jul 05 06:40:45 2021 error -15 reading relation 35053730
  34. Mon Jul 05 06:40:52 2021 error -15 reading relation 36015913
  35. Mon Jul 05 06:41:06 2021 error -1 reading relation 37868107
  36. Mon Jul 05 06:42:04 2021 error -5 reading relation 45440692
  37. Mon Jul 05 06:42:04 2021 error -9 reading relation 45444288
  38. Mon Jul 05 06:42:18 2021 error -5 reading relation 47255388
  39. Mon Jul 05 06:44:01 2021 error -1 reading relation 60604449
  40. Mon Jul 05 06:44:11 2021 error -9 reading relation 61869134
  41. Mon Jul 05 06:44:18 2021 error -9 reading relation 62808655
  42. Mon Jul 05 06:44:36 2021 skipped 2 relations with b > 2^32
  43. Mon Jul 05 06:44:36 2021 skipped 15 relations with composite factors
  44. Mon Jul 05 06:44:36 2021 found 13046089 hash collisions in 65133063 relations
  45. Mon Jul 05 06:44:42 2021 added 2438533 free relations
  46. Mon Jul 05 06:44:42 2021 commencing duplicate removal, pass 2
  47. Mon Jul 05 06:45:22 2021 found 12657575 duplicates and 54914021 unique relations
  48. Mon Jul 05 06:45:22 2021 memory use: 330.4 MB
  49. Mon Jul 05 06:45:22 2021 reading ideals above 720000
  50. Mon Jul 05 06:45:22 2021 commencing singleton removal, initial pass
  51. Mon Jul 05 06:53:02 2021 memory use: 1378.0 MB
  52. Mon Jul 05 06:53:03 2021 reading all ideals from disk
  53. Mon Jul 05 06:53:05 2021 memory use: 1967.6 MB
  54. Mon Jul 05 06:53:14 2021 keeping 48219318 ideals with weight <= 200, target excess is 286612
  55. Mon Jul 05 06:53:21 2021 commencing in-memory singleton removal
  56. Mon Jul 05 06:53:28 2021 begin with 54914021 relations and 48219318 unique ideals
  57. Mon Jul 05 06:54:25 2021 reduce to 38617760 relations and 30418973 ideals in 13 passes
  58. Mon Jul 05 06:54:25 2021 max relations containing the same ideal: 167
  59. Mon Jul 05 06:54:47 2021 removing 4372167 relations and 3372167 ideals in 1000000 cliques
  60. Mon Jul 05 06:54:49 2021 commencing in-memory singleton removal
  61. Mon Jul 05 06:54:54 2021 begin with 34245593 relations and 30418973 unique ideals
  62. Mon Jul 05 06:55:23 2021 reduce to 33739010 relations and 26523944 ideals in 8 passes
  63. Mon Jul 05 06:55:23 2021 max relations containing the same ideal: 151
  64. Mon Jul 05 06:55:44 2021 removing 3544402 relations and 2544402 ideals in 1000000 cliques
  65. Mon Jul 05 06:55:45 2021 commencing in-memory singleton removal
  66. Mon Jul 05 06:55:49 2021 begin with 30194608 relations and 26523944 unique ideals
  67. Mon Jul 05 06:56:17 2021 reduce to 29890379 relations and 23665910 ideals in 8 passes
  68. Mon Jul 05 06:56:17 2021 max relations containing the same ideal: 141
  69. Mon Jul 05 06:56:37 2021 removing 3221054 relations and 2221054 ideals in 1000000 cliques
  70. Mon Jul 05 06:56:38 2021 commencing in-memory singleton removal
  71. Mon Jul 05 06:56:42 2021 begin with 26669325 relations and 23665910 unique ideals
  72. Mon Jul 05 06:57:03 2021 reduce to 26399925 relations and 21167017 ideals in 7 passes
  73. Mon Jul 05 06:57:03 2021 max relations containing the same ideal: 132
  74. Mon Jul 05 06:57:20 2021 removing 3084604 relations and 2084604 ideals in 1000000 cliques
  75. Mon Jul 05 06:57:21 2021 commencing in-memory singleton removal
  76. Mon Jul 05 06:57:24 2021 begin with 23315321 relations and 21167017 unique ideals
  77. Mon Jul 05 06:57:44 2021 reduce to 23052826 relations and 18810833 ideals in 8 passes
  78. Mon Jul 05 06:57:44 2021 max relations containing the same ideal: 120
  79. Mon Jul 05 06:58:00 2021 removing 3006325 relations and 2006325 ideals in 1000000 cliques
  80. Mon Jul 05 06:58:01 2021 commencing in-memory singleton removal
  81. Mon Jul 05 06:58:03 2021 begin with 20046501 relations and 18810833 unique ideals
  82. Mon Jul 05 06:58:20 2021 reduce to 19772933 relations and 16520420 ideals in 7 passes
  83. Mon Jul 05 06:58:20 2021 max relations containing the same ideal: 108
  84. Mon Jul 05 06:58:32 2021 removing 2962395 relations and 1962395 ideals in 1000000 cliques
  85. Mon Jul 05 06:58:33 2021 commencing in-memory singleton removal
  86. Mon Jul 05 06:58:35 2021 begin with 16810538 relations and 16520420 unique ideals
  87. Mon Jul 05 06:58:50 2021 reduce to 16516000 relations and 14250467 ideals in 7 passes
  88. Mon Jul 05 06:58:50 2021 max relations containing the same ideal: 94
  89. Mon Jul 05 06:59:00 2021 removing 2935187 relations and 1935187 ideals in 1000000 cliques
  90. Mon Jul 05 06:59:01 2021 commencing in-memory singleton removal
  91. Mon Jul 05 06:59:03 2021 begin with 13580813 relations and 14250467 unique ideals
  92. Mon Jul 05 06:59:15 2021 reduce to 13247277 relations and 11964045 ideals in 7 passes
  93. Mon Jul 05 06:59:15 2021 max relations containing the same ideal: 80
  94. Mon Jul 05 06:59:23 2021 removing 2795759 relations and 1844997 ideals in 950762 cliques
  95. Mon Jul 05 06:59:24 2021 commencing in-memory singleton removal
  96. Mon Jul 05 06:59:25 2021 begin with 10451518 relations and 11964045 unique ideals
  97. Mon Jul 05 06:59:35 2021 reduce to 10076857 relations and 9721149 ideals in 8 passes
  98. Mon Jul 05 06:59:35 2021 max relations containing the same ideal: 68
  99. Mon Jul 05 06:59:42 2021 removing 135616 relations and 112378 ideals in 23238 cliques
  100. Mon Jul 05 06:59:42 2021 commencing in-memory singleton removal
  101. Mon Jul 05 06:59:44 2021 begin with 9941241 relations and 9721149 unique ideals
  102. Mon Jul 05 06:59:48 2021 reduce to 9939720 relations and 9607247 ideals in 5 passes
  103. Mon Jul 05 06:59:48 2021 max relations containing the same ideal: 67
  104. Mon Jul 05 06:59:50 2021 relations with 0 large ideals: 21095
  105. Mon Jul 05 06:59:50 2021 relations with 1 large ideals: 6676
  106. Mon Jul 05 06:59:50 2021 relations with 2 large ideals: 55079
  107. Mon Jul 05 06:59:50 2021 relations with 3 large ideals: 336469
  108. Mon Jul 05 06:59:50 2021 relations with 4 large ideals: 1119953
  109. Mon Jul 05 06:59:50 2021 relations with 5 large ideals: 2182012
  110. Mon Jul 05 06:59:50 2021 relations with 6 large ideals: 2629063
  111. Mon Jul 05 06:59:50 2021 relations with 7+ large ideals: 3589373
  112. Mon Jul 05 06:59:50 2021 commencing 2-way merge
  113. Mon Jul 05 07:00:00 2021 reduce to 6699084 relation sets and 6366611 unique ideals
  114. Mon Jul 05 07:00:00 2021 commencing full merge
  115. Mon Jul 05 07:03:14 2021 memory use: 881.8 MB
  116. Mon Jul 05 07:03:16 2021 found 3174489 cycles, need 3142811
  117. Mon Jul 05 07:03:16 2021 weight of 3142811 cycles is about 314518634 (100.08/cycle)
  118. Mon Jul 05 07:03:16 2021 distribution of cycle lengths:
  119. Mon Jul 05 07:03:16 2021 1 relations: 162489
  120. Mon Jul 05 07:03:16 2021 2 relations: 213229
  121. Mon Jul 05 07:03:16 2021 3 relations: 249173
  122. Mon Jul 05 07:03:16 2021 4 relations: 260811
  123. Mon Jul 05 07:03:16 2021 5 relations: 267063
  124. Mon Jul 05 07:03:16 2021 6 relations: 261756
  125. Mon Jul 05 07:03:16 2021 7 relations: 249735
  126. Mon Jul 05 07:03:16 2021 8 relations: 231461
  127. Mon Jul 05 07:03:16 2021 9 relations: 208371
  128. Mon Jul 05 07:03:16 2021 10+ relations: 1038723
  129. Mon Jul 05 07:03:16 2021 heaviest cycle: 28 relations
  130. Mon Jul 05 07:03:18 2021 commencing cycle optimization
  131. Mon Jul 05 07:03:24 2021 start with 25017382 relations
  132. Mon Jul 05 07:04:42 2021 pruned 1125479 relations
  133. Mon Jul 05 07:04:42 2021 memory use: 670.6 MB
  134. Mon Jul 05 07:04:42 2021 distribution of cycle lengths:
  135. Mon Jul 05 07:04:42 2021 1 relations: 162489
  136. Mon Jul 05 07:04:42 2021 2 relations: 218108
  137. Mon Jul 05 07:04:42 2021 3 relations: 259699
  138. Mon Jul 05 07:04:42 2021 4 relations: 272001
  139. Mon Jul 05 07:04:42 2021 5 relations: 281016
  140. Mon Jul 05 07:04:42 2021 6 relations: 274569
  141. Mon Jul 05 07:04:42 2021 7 relations: 263369
  142. Mon Jul 05 07:04:42 2021 8 relations: 241836
  143. Mon Jul 05 07:04:42 2021 9 relations: 216425
  144. Mon Jul 05 07:04:42 2021 10+ relations: 953299
  145. Mon Jul 05 07:04:42 2021 heaviest cycle: 28 relations
  146. Mon Jul 05 07:04:47 2021 RelProcTime: 1712
  147. Mon Jul 05 07:04:47 2021
  148. Mon Jul 05 07:04:47 2021 commencing linear algebra
  149. Mon Jul 05 07:04:48 2021 read 3142811 cycles
  150. Mon Jul 05 07:04:55 2021 cycles contain 9772730 unique relations
  151. Mon Jul 05 07:05:53 2021 read 9772730 relations
  152. Mon Jul 05 07:06:16 2021 using 20 quadratic characters above 4294917295
  153. Mon Jul 05 07:06:58 2021 building initial matrix
  154. Mon Jul 05 07:09:08 2021 memory use: 1209.8 MB
  155. Mon Jul 05 07:09:11 2021 read 3142811 cycles
  156. Mon Jul 05 07:09:12 2021 matrix is 3142634 x 3142811 (1257.6 MB) with weight 359657659 (114.44/col)
  157. Mon Jul 05 07:09:12 2021 sparse part has weight 295114164 (93.90/col)
  158. Mon Jul 05 07:09:50 2021 filtering completed in 2 passes
  159. Mon Jul 05 07:09:51 2021 matrix is 3142399 x 3142576 (1257.6 MB) with weight 359648500 (114.44/col)
  160. Mon Jul 05 07:09:51 2021 sparse part has weight 295109922 (93.91/col)
  161. Mon Jul 05 07:10:01 2021 matrix starts at (0, 0)
  162. Mon Jul 05 07:10:02 2021 matrix is 3142399 x 3142576 (1257.6 MB) with weight 359648500 (114.44/col)
  163. Mon Jul 05 07:10:02 2021 sparse part has weight 295109922 (93.91/col)
  164. Mon Jul 05 07:10:02 2021 saving the first 48 matrix rows for later
  165. Mon Jul 05 07:10:03 2021 matrix includes 64 packed rows
  166. Mon Jul 05 07:10:04 2021 matrix is 3142351 x 3142576 (1199.7 MB) with weight 304341209 (96.84/col)
  167. Mon Jul 05 07:10:04 2021 sparse part has weight 283068012 (90.08/col)
  168. Mon Jul 05 07:10:04 2021 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  169. Mon Jul 05 07:10:16 2021 commencing Lanczos iteration (6 threads)
  170. Mon Jul 05 07:10:16 2021 memory use: 999.1 MB
  171. Mon Jul 05 07:10:31 2021 linear algebra at 0.0%, ETA 8h33m
  172. Mon Jul 05 07:10:36 2021 checkpointing every 370000 dimensions
  173. Mon Jul 05 15:16:41 2021 lanczos halted after 49694 iterations (dim = 3142349)
  174. Mon Jul 05 15:16:44 2021 recovered 40 nontrivial dependencies
  175. Mon Jul 05 15:16:45 2021 BLanczosTime: 29518
  176. Mon Jul 05 15:16:45 2021
  177. Mon Jul 05 15:16:45 2021 commencing square root phase
  178. Mon Jul 05 15:16:45 2021 handling dependencies 1 to 64
  179. Mon Jul 05 15:16:45 2021 reading relations for dependency 1
  180. Mon Jul 05 15:16:45 2021 read 1571721 cycles
  181. Mon Jul 05 15:16:49 2021 cycles contain 4887066 unique relations
  182. Mon Jul 05 15:17:19 2021 read 4887066 relations
  183. Mon Jul 05 15:17:46 2021 multiplying 4887066 relations
  184. Mon Jul 05 15:19:54 2021 multiply complete, coefficients have about 116.26 million bits
  185. Mon Jul 05 15:19:55 2021 initial square root is modulo 221266853
  186. Mon Jul 05 15:22:35 2021 GCD is 1, no factor found
  187. Mon Jul 05 15:22:35 2021 reading relations for dependency 2
  188. Mon Jul 05 15:22:35 2021 read 1571819 cycles
  189. Mon Jul 05 15:22:39 2021 cycles contain 4887156 unique relations
  190. Mon Jul 05 15:23:08 2021 read 4887156 relations
  191. Mon Jul 05 15:23:35 2021 multiplying 4887156 relations
  192. Mon Jul 05 15:25:44 2021 multiply complete, coefficients have about 116.26 million bits
  193. Mon Jul 05 15:25:45 2021 initial square root is modulo 221367961
  194. Mon Jul 05 15:28:18 2021 GCD is N, no factor found
  195. Mon Jul 05 15:28:18 2021 reading relations for dependency 3
  196. Mon Jul 05 15:28:19 2021 read 1571322 cycles
  197. Mon Jul 05 15:28:22 2021 cycles contain 4886042 unique relations
  198. Mon Jul 05 15:28:49 2021 read 4886042 relations
  199. Mon Jul 05 15:29:14 2021 multiplying 4886042 relations
  200. Mon Jul 05 15:31:27 2021 multiply complete, coefficients have about 116.24 million bits
  201. Mon Jul 05 15:31:28 2021 initial square root is modulo 220478723
  202. Mon Jul 05 15:34:07 2021 GCD is N, no factor found
  203. Mon Jul 05 15:34:07 2021 reading relations for dependency 4
  204. Mon Jul 05 15:34:07 2021 read 1570958 cycles
  205. Mon Jul 05 15:34:11 2021 cycles contain 4883252 unique relations
  206. Mon Jul 05 15:34:40 2021 read 4883252 relations
  207. Mon Jul 05 15:35:05 2021 multiplying 4883252 relations
  208. Mon Jul 05 15:37:08 2021 multiply complete, coefficients have about 116.17 million bits
  209. Mon Jul 05 15:37:09 2021 initial square root is modulo 218111827
  210. Mon Jul 05 15:39:53 2021 GCD is N, no factor found
  211. Mon Jul 05 15:39:53 2021 reading relations for dependency 5
  212. Mon Jul 05 15:39:54 2021 read 1571330 cycles
  213. Mon Jul 05 15:39:57 2021 cycles contain 4886286 unique relations
  214. Mon Jul 05 15:40:25 2021 read 4886286 relations
  215. Mon Jul 05 15:40:52 2021 multiplying 4886286 relations
  216. Mon Jul 05 15:43:04 2021 multiply complete, coefficients have about 116.24 million bits
  217. Mon Jul 05 15:43:05 2021 initial square root is modulo 220612943
  218. Mon Jul 05 15:45:39 2021 sqrtTime: 1734
  219. Mon Jul 05 15:45:39 2021 p86 factor: 17834568113455004334082372058684309184810665365534713606257569225691140443186339574303
  220. Mon Jul 05 15:45:39 2021 p87 factor: 423065935452879984570055851584663073069871769686624378300550340132225095626322160978101
  221. Mon Jul 05 15:45:39 2021 elapsed time 09:09:25
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