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4p3_1371L

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Aug 25th, 2023
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  1. Thu Aug 24 11:45:04 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Thu Aug 24 11:45:04 2023 random seeds: 1bb5469c 6804a0b9
  3. Thu Aug 24 11:45:04 2023 Using 16 OpenMP threads
  4. Thu Aug 24 11:45:04 2023 factoring 14353653226198972823251781834724251510848496952042649387237846359627310764918751020393856081969063033305828692693876515736164609072838181020443063625258576059498687328878449329379924413150289369422475307959303410209533901 (221 digits)
  5. Thu Aug 24 11:45:05 2023 no P-1/P+1/ECM available, skipping
  6. Thu Aug 24 11:45:05 2023 commencing number field sieve (221-digit input)
  7. Thu Aug 24 11:45:05 2023 R0: 5708990770823839524233143877797980545530986496
  8. Thu Aug 24 11:45:05 2023 R1: -1824800363140073127359051977856583921
  9. Thu Aug 24 11:45:05 2023 A0: 3
  10. Thu Aug 24 11:45:05 2023 A1: 0
  11. Thu Aug 24 11:45:05 2023 A2: 0
  12. Thu Aug 24 11:45:05 2023 A3: -6
  13. Thu Aug 24 11:45:05 2023 A4: 0
  14. Thu Aug 24 11:45:05 2023 A5: 0
  15. Thu Aug 24 11:45:05 2023 A6: 4
  16. Thu Aug 24 11:45:05 2023 skew 0.95, size 1.817e-13, alpha 1.048, combined = 3.137e-14 rroots = 0
  17. Thu Aug 24 11:45:05 2023
  18. Thu Aug 24 11:45:05 2023 commencing relation filtering
  19. Thu Aug 24 11:45:05 2023 setting target matrix density to 100.0
  20. Thu Aug 24 11:45:05 2023 estimated available RAM is 64223.0 MB
  21. Thu Aug 24 11:45:05 2023 commencing duplicate removal, pass 1
  22. Thu Aug 24 11:51:28 2023 error -1 reading relation 159214979
  23. Thu Aug 24 11:51:58 2023 error -15 reading relation 174046510
  24. Thu Aug 24 11:52:09 2023 error -15 reading relation 180653416
  25. Thu Aug 24 11:54:12 2023 skipped 1452 relations with b > 2^32
  26. Thu Aug 24 11:54:12 2023 skipped 1 malformed relations
  27. Thu Aug 24 11:54:12 2023 found 13847023 hash collisions in 253461456 relations
  28. Thu Aug 24 11:54:19 2023 added 812988 free relations
  29. Thu Aug 24 11:54:19 2023 commencing duplicate removal, pass 2
  30. Thu Aug 24 11:55:26 2023 found 0 duplicates and 254274444 unique relations
  31. Thu Aug 24 11:55:26 2023 memory use: 852.8 MB
  32. Thu Aug 24 11:55:26 2023 reading ideals above 720000
  33. Thu Aug 24 11:55:26 2023 commencing singleton removal, initial pass
  34. Thu Aug 24 12:05:43 2023 memory use: 6024.0 MB
  35. Thu Aug 24 12:05:44 2023 reading all ideals from disk
  36. Thu Aug 24 12:05:46 2023 memory use: 12707.7 MB
  37. Thu Aug 24 12:05:57 2023 keeping 255256729 ideals with weight <= 200, target excess is 1325115
  38. Thu Aug 24 12:06:12 2023 commencing in-memory singleton removal
  39. Thu Aug 24 12:06:17 2023 begin with 254274444 relations and 255256729 unique ideals
  40. Thu Aug 24 12:06:54 2023 reduce to 156097288 relations and 149801078 ideals in 20 passes
  41. Thu Aug 24 12:06:54 2023 max relations containing the same ideal: 158
  42. Thu Aug 24 12:07:26 2023 removing 11390540 relations and 10390540 ideals in 1000000 cliques
  43. Thu Aug 24 12:07:29 2023 commencing in-memory singleton removal
  44. Thu Aug 24 12:07:32 2023 begin with 144706748 relations and 149801078 unique ideals
  45. Thu Aug 24 12:07:48 2023 reduce to 143899038 relations and 138594621 ideals in 11 passes
  46. Thu Aug 24 12:07:48 2023 max relations containing the same ideal: 149
  47. Thu Aug 24 12:08:17 2023 removing 8404646 relations and 7404646 ideals in 1000000 cliques
  48. Thu Aug 24 12:08:20 2023 commencing in-memory singleton removal
  49. Thu Aug 24 12:08:22 2023 begin with 135494392 relations and 138594621 unique ideals
  50. Thu Aug 24 12:08:34 2023 reduce to 135011585 relations and 130703159 ideals in 9 passes
  51. Thu Aug 24 12:08:34 2023 max relations containing the same ideal: 139
  52. Thu Aug 24 12:09:02 2023 removing 7476114 relations and 6476114 ideals in 1000000 cliques
  53. Thu Aug 24 12:09:04 2023 commencing in-memory singleton removal
  54. Thu Aug 24 12:09:07 2023 begin with 127535471 relations and 130703159 unique ideals
  55. Thu Aug 24 12:09:19 2023 reduce to 127127649 relations and 123815953 ideals in 10 passes
  56. Thu Aug 24 12:09:19 2023 max relations containing the same ideal: 134
  57. Thu Aug 24 12:09:45 2023 removing 6987882 relations and 5987882 ideals in 1000000 cliques
  58. Thu Aug 24 12:09:48 2023 commencing in-memory singleton removal
  59. Thu Aug 24 12:09:50 2023 begin with 120139767 relations and 123815953 unique ideals
  60. Thu Aug 24 12:10:01 2023 reduce to 119761673 relations and 117446942 ideals in 9 passes
  61. Thu Aug 24 12:10:01 2023 max relations containing the same ideal: 129
  62. Thu Aug 24 12:10:25 2023 removing 5431098 relations and 4653501 ideals in 777597 cliques
  63. Thu Aug 24 12:10:27 2023 commencing in-memory singleton removal
  64. Thu Aug 24 12:10:29 2023 begin with 114330575 relations and 117446942 unique ideals
  65. Thu Aug 24 12:10:41 2023 reduce to 114095395 relations and 112556707 ideals in 10 passes
  66. Thu Aug 24 12:10:41 2023 max relations containing the same ideal: 126
  67. Thu Aug 24 12:11:15 2023 relations with 0 large ideals: 33913
  68. Thu Aug 24 12:11:15 2023 relations with 1 large ideals: 14176
  69. Thu Aug 24 12:11:15 2023 relations with 2 large ideals: 219087
  70. Thu Aug 24 12:11:15 2023 relations with 3 large ideals: 1655706
  71. Thu Aug 24 12:11:15 2023 relations with 4 large ideals: 6968042
  72. Thu Aug 24 12:11:15 2023 relations with 5 large ideals: 17827002
  73. Thu Aug 24 12:11:15 2023 relations with 6 large ideals: 28739291
  74. Thu Aug 24 12:11:15 2023 relations with 7+ large ideals: 58638178
  75. Thu Aug 24 12:11:15 2023 commencing 2-way merge
  76. Thu Aug 24 12:11:54 2023 reduce to 68784839 relation sets and 67246151 unique ideals
  77. Thu Aug 24 12:11:54 2023 commencing full merge
  78. Thu Aug 24 12:25:55 2023 memory use: 7909.3 MB
  79. Thu Aug 24 12:26:00 2023 found 31887367 cycles, need 31814351
  80. Thu Aug 24 12:26:06 2023 weight of 31814351 cycles is about 3181609982 (100.01/cycle)
  81. Thu Aug 24 12:26:06 2023 distribution of cycle lengths:
  82. Thu Aug 24 12:26:06 2023 1 relations: 3777204
  83. Thu Aug 24 12:26:06 2023 2 relations: 3224765
  84. Thu Aug 24 12:26:06 2023 3 relations: 3066266
  85. Thu Aug 24 12:26:06 2023 4 relations: 2787180
  86. Thu Aug 24 12:26:06 2023 5 relations: 2508909
  87. Thu Aug 24 12:26:06 2023 6 relations: 2264005
  88. Thu Aug 24 12:26:06 2023 7 relations: 1987484
  89. Thu Aug 24 12:26:06 2023 8 relations: 1740592
  90. Thu Aug 24 12:26:06 2023 9 relations: 1554913
  91. Thu Aug 24 12:26:06 2023 10+ relations: 8903033
  92. Thu Aug 24 12:26:06 2023 heaviest cycle: 28 relations
  93. Thu Aug 24 12:26:11 2023 commencing cycle optimization
  94. Thu Aug 24 12:26:48 2023 start with 226655356 relations
  95. Thu Aug 24 12:30:56 2023 pruned 6351254 relations
  96. Thu Aug 24 12:30:58 2023 memory use: 6948.2 MB
  97. Thu Aug 24 12:30:58 2023 distribution of cycle lengths:
  98. Thu Aug 24 12:30:58 2023 1 relations: 3777204
  99. Thu Aug 24 12:30:58 2023 2 relations: 3303276
  100. Thu Aug 24 12:30:58 2023 3 relations: 3180755
  101. Thu Aug 24 12:30:58 2023 4 relations: 2860281
  102. Thu Aug 24 12:30:58 2023 5 relations: 2579273
  103. Thu Aug 24 12:30:58 2023 6 relations: 2303283
  104. Thu Aug 24 12:30:58 2023 7 relations: 2016686
  105. Thu Aug 24 12:30:58 2023 8 relations: 1755377
  106. Thu Aug 24 12:30:58 2023 9 relations: 1558606
  107. Thu Aug 24 12:30:58 2023 10+ relations: 8479610
  108. Thu Aug 24 12:30:58 2023 heaviest cycle: 28 relations
  109. Thu Aug 24 12:31:33 2023 RelProcTime: 2788
  110. Thu Aug 24 12:31:33 2023 elapsed time 00:46:29
  111. Thu Aug 24 12:31:34 2023
  112. Thu Aug 24 12:31:34 2023
  113. Thu Aug 24 12:31:34 2023 Msieve v. 1.54 (SVN 03e8738 CUDA and MPI)
  114. Thu Aug 24 12:31:34 2023 random seeds: 623e1d47 52fd9df1
  115. Thu Aug 24 12:31:34 2023 MPI process 0 of 2
  116. Thu Aug 24 12:31:34 2023 Using 8 OpenMP threads
  117. Thu Aug 24 12:31:34 2023 factoring 14353653226198972823251781834724251510848496952042649387237846359627310764918751020393856081969063033305828692693876515736164609072838181020443063625258576059498687328878449329379924413150289369422475307959303410209533901 (221 digits)
  118. Thu Aug 24 12:31:35 2023 no P-1/P+1/ECM available, skipping
  119. Thu Aug 24 12:31:35 2023 commencing number field sieve (221-digit input)
  120. Thu Aug 24 12:31:35 2023 R0: 5708990770823839524233143877797980545530986496
  121. Thu Aug 24 12:31:35 2023 R1: -1824800363140073127359051977856583921
  122. Thu Aug 24 12:31:35 2023 A0: 3
  123. Thu Aug 24 12:31:35 2023 A1: 0
  124. Thu Aug 24 12:31:35 2023 A2: 0
  125. Thu Aug 24 12:31:35 2023 A3: -6
  126. Thu Aug 24 12:31:35 2023 A4: 0
  127. Thu Aug 24 12:31:35 2023 A5: 0
  128. Thu Aug 24 12:31:35 2023 A6: 4
  129. Thu Aug 24 12:31:35 2023 skew 0.95, size 1.817e-13, alpha 1.048, combined = 3.137e-14 rroots = 0
  130. Thu Aug 24 12:31:35 2023
  131. Thu Aug 24 12:31:35 2023 commencing linear algebra
  132. Thu Aug 24 12:31:35 2023 using VBITS=256
  133. Thu Aug 24 12:31:35 2023 initialized process (0,0) of 1 x 2 grid
  134. Thu Aug 24 12:31:36 2023 read 31814351 cycles
  135. Thu Aug 24 12:32:13 2023 cycles contain 112558150 unique relations
  136. Thu Aug 24 12:33:41 2023 read 112558150 relations
  137. Thu Aug 24 12:34:08 2023 using 20 quadratic characters above 4294917295
  138. Thu Aug 24 12:34:48 2023 building initial matrix
  139. Thu Aug 24 12:46:26 2023 memory use: 13991.0 MB
  140. Thu Aug 24 12:46:38 2023 read 31814351 cycles
  141. Thu Aug 24 12:46:42 2023 matrix is 31814173 x 31814351 (12954.7 MB) with weight 3713380155 (116.72/col)
  142. Thu Aug 24 12:46:42 2023 sparse part has weight 3046038048 (95.74/col)
  143. Thu Aug 24 12:50:08 2023 filtering completed in 2 passes
  144. Thu Aug 24 12:50:12 2023 matrix is 31805553 x 31805725 (12954.0 MB) with weight 3713100558 (116.74/col)
  145. Thu Aug 24 12:50:12 2023 sparse part has weight 3045949769 (95.77/col)
  146. Thu Aug 24 12:50:56 2023 matrix starts at (0, 0)
  147. Thu Aug 24 12:50:58 2023 matrix is 31805553 x 15902993 (6477.0 MB) with weight 1856566383 (116.74/col)
  148. Thu Aug 24 12:50:58 2023 sparse part has weight 1522974997 (95.77/col)
  149. Thu Aug 24 12:50:58 2023 saving the first 240 matrix rows for later
  150. Thu Aug 24 12:51:00 2023 matrix includes 256 packed rows
  151. Thu Aug 24 12:51:05 2023 matrix is 31805313 x 15902993 (6025.1 MB) with weight 1391979669 (87.53/col)
  152. Thu Aug 24 12:51:05 2023 sparse part has weight 1325007726 (83.32/col)
  153. Thu Aug 24 12:51:05 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  154. Thu Aug 24 12:51:05 2023 selected card has CUDA arch 8.6
  155. Thu Aug 24 12:52:55 2023 commencing Lanczos iteration
  156. Thu Aug 24 12:52:56 2023 memory use: 15629.5 MB
  157. Thu Aug 24 12:53:46 2023 linear algebra at 0.1%, ETA 13h50m
  158. Thu Aug 24 12:54:58 2023 checking every 30000 dimensions, checkpointing every 2310000 dimensions
  159. Fri Aug 25 05:07:17 2023 lanczos halted after 124613 iterations (dim = 31805310)
  160. Fri Aug 25 05:09:40 2023 recovered 36 nontrivial dependencies
  161. Fri Aug 25 05:09:41 2023 BLanczosTime: 59886
  162. Fri Aug 25 05:09:41 2023 elapsed time 16:38:07
  163. Fri Aug 25 05:09:42 2023
  164. Fri Aug 25 05:09:42 2023
  165. Fri Aug 25 05:09:42 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  166. Fri Aug 25 05:09:42 2023 random seeds: 9a682b2c 504ba47b
  167. Fri Aug 25 05:09:42 2023 Using 16 OpenMP threads
  168. Fri Aug 25 05:09:42 2023 factoring 14353653226198972823251781834724251510848496952042649387237846359627310764918751020393856081969063033305828692693876515736164609072838181020443063625258576059498687328878449329379924413150289369422475307959303410209533901 (221 digits)
  169. Fri Aug 25 05:09:43 2023 no P-1/P+1/ECM available, skipping
  170. Fri Aug 25 05:09:43 2023 commencing number field sieve (221-digit input)
  171. Fri Aug 25 05:09:43 2023 R0: 5708990770823839524233143877797980545530986496
  172. Fri Aug 25 05:09:43 2023 R1: -1824800363140073127359051977856583921
  173. Fri Aug 25 05:09:43 2023 A0: 3
  174. Fri Aug 25 05:09:43 2023 A1: 0
  175. Fri Aug 25 05:09:43 2023 A2: 0
  176. Fri Aug 25 05:09:43 2023 A3: -6
  177. Fri Aug 25 05:09:43 2023 A4: 0
  178. Fri Aug 25 05:09:43 2023 A5: 0
  179. Fri Aug 25 05:09:43 2023 A6: 4
  180. Fri Aug 25 05:09:43 2023 skew 0.95, size 1.817e-13, alpha 1.048, combined = 3.137e-14 rroots = 0
  181. Fri Aug 25 05:09:43 2023
  182. Fri Aug 25 05:09:43 2023 commencing square root phase
  183. Fri Aug 25 05:09:43 2023 reading relations for dependency 1
  184. Fri Aug 25 05:09:45 2023 read 15902872 cycles
  185. Fri Aug 25 05:10:06 2023 cycles contain 56279678 unique relations
  186. Fri Aug 25 05:10:51 2023 read 56279678 relations
  187. Fri Aug 25 05:13:49 2023 multiplying 56279678 relations
  188. Fri Aug 25 05:18:52 2023 multiply complete, coefficients have about 1588.51 million bits
  189. Fri Aug 25 05:18:55 2023 initial square root is modulo 13354013
  190. Fri Aug 25 05:28:22 2023 GCD is 1, no factor found
  191. Fri Aug 25 05:28:22 2023 reading relations for dependency 2
  192. Fri Aug 25 05:28:23 2023 read 15909915 cycles
  193. Fri Aug 25 05:28:44 2023 cycles contain 56297724 unique relations
  194. Fri Aug 25 05:29:21 2023 read 56297724 relations
  195. Fri Aug 25 05:32:23 2023 multiplying 56297724 relations
  196. Fri Aug 25 05:37:26 2023 multiply complete, coefficients have about 1589.02 million bits
  197. Fri Aug 25 05:37:29 2023 initial square root is modulo 13424981
  198. Fri Aug 25 05:46:57 2023 sqrtTime: 2234
  199. Fri Aug 25 05:46:57 2023 p80 factor: 41380491700005360496718992581175459621163129309224979802029683043579967795697801
  200. Fri Aug 25 05:46:57 2023 p141 factor: 346870050028842780219711246942808956207347884436859434727520619383054280760212645649325153794446865062307834257338451578427354120199607256101
  201. Fri Aug 25 05:46:57 2023 elapsed time 00:37:15
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