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Sep 18th, 2023
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  1. Sun Sep 17 16:41:45 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Sun Sep 17 16:41:45 2023 random seeds: 3e5550df 819265b2
  3. Sun Sep 17 16:41:45 2023 Using 16 OpenMP threads
  4. Sun Sep 17 16:41:45 2023 factoring 190756226421731880715743368662554252923033384097949122794849286883731887788391959903850872488691431936404338397393303253988085187172036774348459689856771700032776416314499511006468332641662774090711350890096042621188542898904061884363 (234 digits)
  5. Sun Sep 17 16:41:46 2023 no P-1/P+1/ECM available, skipping
  6. Sun Sep 17 16:41:46 2023 commencing number field sieve (234-digit input)
  7. Sun Sep 17 16:41:46 2023 R0: 4318114567396436564035293097707728087552248849
  8. Sun Sep 17 16:41:46 2023 R1: -324518553658426726783156020576256
  9. Sun Sep 17 16:41:46 2023 A0: 7
  10. Sun Sep 17 16:41:46 2023 A1: 0
  11. Sun Sep 17 16:41:46 2023 A2: 0
  12. Sun Sep 17 16:41:46 2023 A3: 0
  13. Sun Sep 17 16:41:46 2023 A4: 0
  14. Sun Sep 17 16:41:46 2023 A5: 0
  15. Sun Sep 17 16:41:46 2023 A6: 4
  16. Sun Sep 17 16:41:46 2023 skew 1.10, size 1.475e-13, alpha 1.534, combined = 2.743e-14 rroots = 0
  17. Sun Sep 17 16:41:46 2023
  18. Sun Sep 17 16:41:46 2023 commencing relation filtering
  19. Sun Sep 17 16:41:46 2023 setting target matrix density to 110.0
  20. Sun Sep 17 16:41:46 2023 estimated available RAM is 128734.9 MB
  21. Sun Sep 17 16:41:46 2023 commencing duplicate removal, pass 1
  22. Sun Sep 17 16:44:53 2023 skipped 1418 relations with b > 2^32
  23. Sun Sep 17 16:44:53 2023 found 14416685 hash collisions in 258832442 relations
  24. Sun Sep 17 16:45:00 2023 added 1218505 free relations
  25. Sun Sep 17 16:45:00 2023 commencing duplicate removal, pass 2
  26. Sun Sep 17 16:45:51 2023 found 0 duplicates and 260050947 unique relations
  27. Sun Sep 17 16:45:51 2023 memory use: 852.8 MB
  28. Sun Sep 17 16:45:51 2023 reading ideals above 720000
  29. Sun Sep 17 16:45:51 2023 commencing singleton removal, initial pass
  30. Sun Sep 17 16:53:59 2023 memory use: 6024.0 MB
  31. Sun Sep 17 16:53:59 2023 reading all ideals from disk
  32. Sun Sep 17 16:54:02 2023 memory use: 13026.2 MB
  33. Sun Sep 17 16:54:15 2023 keeping 255668750 ideals with weight <= 200, target excess is 1362617
  34. Sun Sep 17 16:54:32 2023 commencing in-memory singleton removal
  35. Sun Sep 17 16:54:36 2023 begin with 260050947 relations and 255668750 unique ideals
  36. Sun Sep 17 16:55:21 2023 reduce to 170491742 relations and 160115595 ideals in 25 passes
  37. Sun Sep 17 16:55:21 2023 max relations containing the same ideal: 159
  38. Sun Sep 17 16:55:56 2023 removing 10840363 relations and 9840363 ideals in 1000000 cliques
  39. Sun Sep 17 16:55:59 2023 commencing in-memory singleton removal
  40. Sun Sep 17 16:56:01 2023 begin with 159651379 relations and 160115595 unique ideals
  41. Sun Sep 17 16:56:18 2023 reduce to 159006553 relations and 149624279 ideals in 11 passes
  42. Sun Sep 17 16:56:18 2023 max relations containing the same ideal: 156
  43. Sun Sep 17 16:56:50 2023 removing 7997999 relations and 6997999 ideals in 1000000 cliques
  44. Sun Sep 17 16:56:52 2023 commencing in-memory singleton removal
  45. Sun Sep 17 16:56:55 2023 begin with 151008554 relations and 149624279 unique ideals
  46. Sun Sep 17 16:57:09 2023 reduce to 150626781 relations and 142241598 ideals in 10 passes
  47. Sun Sep 17 16:57:09 2023 max relations containing the same ideal: 150
  48. Sun Sep 17 16:57:39 2023 removing 7103925 relations and 6103925 ideals in 1000000 cliques
  49. Sun Sep 17 16:57:42 2023 commencing in-memory singleton removal
  50. Sun Sep 17 16:57:44 2023 begin with 143522856 relations and 142241598 unique ideals
  51. Sun Sep 17 16:57:55 2023 reduce to 143205184 relations and 135817693 ideals in 8 passes
  52. Sun Sep 17 16:57:55 2023 max relations containing the same ideal: 147
  53. Sun Sep 17 16:58:24 2023 removing 6625952 relations and 5625952 ideals in 1000000 cliques
  54. Sun Sep 17 16:58:26 2023 commencing in-memory singleton removal
  55. Sun Sep 17 16:58:28 2023 begin with 136579232 relations and 135817693 unique ideals
  56. Sun Sep 17 16:58:40 2023 reduce to 136288834 relations and 129899269 ideals in 9 passes
  57. Sun Sep 17 16:58:40 2023 max relations containing the same ideal: 138
  58. Sun Sep 17 16:59:07 2023 removing 6315658 relations and 5315658 ideals in 1000000 cliques
  59. Sun Sep 17 16:59:10 2023 commencing in-memory singleton removal
  60. Sun Sep 17 16:59:12 2023 begin with 129973176 relations and 129899269 unique ideals
  61. Sun Sep 17 16:59:23 2023 reduce to 129698577 relations and 124307028 ideals in 9 passes
  62. Sun Sep 17 16:59:23 2023 max relations containing the same ideal: 138
  63. Sun Sep 17 16:59:49 2023 removing 6102481 relations and 5102481 ideals in 1000000 cliques
  64. Sun Sep 17 16:59:51 2023 commencing in-memory singleton removal
  65. Sun Sep 17 16:59:53 2023 begin with 123596096 relations and 124307028 unique ideals
  66. Sun Sep 17 17:00:05 2023 reduce to 123326880 relations and 118933310 ideals in 10 passes
  67. Sun Sep 17 17:00:05 2023 max relations containing the same ideal: 132
  68. Sun Sep 17 17:00:30 2023 removing 5945879 relations and 4945879 ideals in 1000000 cliques
  69. Sun Sep 17 17:00:32 2023 commencing in-memory singleton removal
  70. Sun Sep 17 17:00:34 2023 begin with 117381001 relations and 118933310 unique ideals
  71. Sun Sep 17 17:00:42 2023 reduce to 117112996 relations and 113717376 ideals in 7 passes
  72. Sun Sep 17 17:00:42 2023 max relations containing the same ideal: 126
  73. Sun Sep 17 17:01:06 2023 removing 5832153 relations and 4832153 ideals in 1000000 cliques
  74. Sun Sep 17 17:01:08 2023 commencing in-memory singleton removal
  75. Sun Sep 17 17:01:10 2023 begin with 111280843 relations and 113717376 unique ideals
  76. Sun Sep 17 17:01:19 2023 reduce to 111011769 relations and 108613980 ideals in 9 passes
  77. Sun Sep 17 17:01:19 2023 max relations containing the same ideal: 122
  78. Sun Sep 17 17:01:42 2023 removing 4871062 relations and 4053909 ideals in 817153 cliques
  79. Sun Sep 17 17:01:44 2023 commencing in-memory singleton removal
  80. Sun Sep 17 17:01:46 2023 begin with 106140707 relations and 108613980 unique ideals
  81. Sun Sep 17 17:01:53 2023 reduce to 105948175 relations and 104366190 ideals in 8 passes
  82. Sun Sep 17 17:01:53 2023 max relations containing the same ideal: 116
  83. Sun Sep 17 17:02:25 2023 relations with 0 large ideals: 52138
  84. Sun Sep 17 17:02:25 2023 relations with 1 large ideals: 16636
  85. Sun Sep 17 17:02:25 2023 relations with 2 large ideals: 231464
  86. Sun Sep 17 17:02:25 2023 relations with 3 large ideals: 1695386
  87. Sun Sep 17 17:02:25 2023 relations with 4 large ideals: 6908259
  88. Sun Sep 17 17:02:25 2023 relations with 5 large ideals: 17104161
  89. Sun Sep 17 17:02:25 2023 relations with 6 large ideals: 26769383
  90. Sun Sep 17 17:02:25 2023 relations with 7+ large ideals: 53170748
  91. Sun Sep 17 17:02:25 2023 commencing 2-way merge
  92. Sun Sep 17 17:03:01 2023 reduce to 64964952 relation sets and 63382967 unique ideals
  93. Sun Sep 17 17:03:01 2023 commencing full merge
  94. Sun Sep 17 17:18:17 2023 memory use: 7876.9 MB
  95. Sun Sep 17 17:18:22 2023 found 29255750 cycles, need 29251167
  96. Sun Sep 17 17:18:28 2023 weight of 29251167 cycles is about 3217831219 (110.01/cycle)
  97. Sun Sep 17 17:18:28 2023 distribution of cycle lengths:
  98. Sun Sep 17 17:18:28 2023 1 relations: 2826587
  99. Sun Sep 17 17:18:28 2023 2 relations: 2608724
  100. Sun Sep 17 17:18:28 2023 3 relations: 2513854
  101. Sun Sep 17 17:18:28 2023 4 relations: 2339500
  102. Sun Sep 17 17:18:28 2023 5 relations: 2184651
  103. Sun Sep 17 17:18:28 2023 6 relations: 1978957
  104. Sun Sep 17 17:18:28 2023 7 relations: 1830253
  105. Sun Sep 17 17:18:28 2023 8 relations: 1658460
  106. Sun Sep 17 17:18:28 2023 9 relations: 1491557
  107. Sun Sep 17 17:18:28 2023 10+ relations: 9818624
  108. Sun Sep 17 17:18:28 2023 heaviest cycle: 28 relations
  109. Sun Sep 17 17:18:32 2023 commencing cycle optimization
  110. Sun Sep 17 17:19:10 2023 start with 233011211 relations
  111. Sun Sep 17 17:24:07 2023 pruned 7675175 relations
  112. Sun Sep 17 17:24:07 2023 memory use: 6713.2 MB
  113. Sun Sep 17 17:24:07 2023 distribution of cycle lengths:
  114. Sun Sep 17 17:24:07 2023 1 relations: 2826587
  115. Sun Sep 17 17:24:07 2023 2 relations: 2669064
  116. Sun Sep 17 17:24:07 2023 3 relations: 2609133
  117. Sun Sep 17 17:24:07 2023 4 relations: 2412991
  118. Sun Sep 17 17:24:07 2023 5 relations: 2257863
  119. Sun Sep 17 17:24:07 2023 6 relations: 2034408
  120. Sun Sep 17 17:24:07 2023 7 relations: 1876422
  121. Sun Sep 17 17:24:07 2023 8 relations: 1687750
  122. Sun Sep 17 17:24:07 2023 9 relations: 1517179
  123. Sun Sep 17 17:24:07 2023 10+ relations: 9359770
  124. Sun Sep 17 17:24:07 2023 heaviest cycle: 28 relations
  125. Sun Sep 17 17:24:41 2023 RelProcTime: 2575
  126. Sun Sep 17 17:24:41 2023 elapsed time 00:42:56
  127. Sun Sep 17 17:43:13 2023
  128. Sun Sep 17 17:43:13 2023
  129. Sun Sep 17 17:43:13 2023 Msieve v. 1.54 (SVN 03e8738 CUDA and MPI)
  130. Sun Sep 17 17:43:13 2023 random seeds: 75be9acb 5c7ad5c8
  131. Sun Sep 17 17:43:13 2023 MPI process 0 of 2
  132. Sun Sep 17 17:43:13 2023 Using 8 OpenMP threads
  133. Sun Sep 17 17:43:13 2023 factoring 190756226421731880715743368662554252923033384097949122794849286883731887788391959903850872488691431936404338397393303253988085187172036774348459689856771700032776416314499511006468332641662774090711350890096042621188542898904061884363 (234 digits)
  134. Sun Sep 17 17:43:13 2023 no P-1/P+1/ECM available, skipping
  135. Sun Sep 17 17:43:13 2023 commencing number field sieve (234-digit input)
  136. Sun Sep 17 17:43:13 2023 R0: 4318114567396436564035293097707728087552248849
  137. Sun Sep 17 17:43:13 2023 R1: -324518553658426726783156020576256
  138. Sun Sep 17 17:43:13 2023 A0: 7
  139. Sun Sep 17 17:43:13 2023 A1: 0
  140. Sun Sep 17 17:43:13 2023 A2: 0
  141. Sun Sep 17 17:43:13 2023 A3: 0
  142. Sun Sep 17 17:43:13 2023 A4: 0
  143. Sun Sep 17 17:43:13 2023 A5: 0
  144. Sun Sep 17 17:43:13 2023 A6: 4
  145. Sun Sep 17 17:43:13 2023 skew 1.10, size 1.475e-13, alpha 1.534, combined = 2.743e-14 rroots = 0
  146. Sun Sep 17 17:43:13 2023
  147. Sun Sep 17 17:43:13 2023 commencing linear algebra
  148. Sun Sep 17 17:43:13 2023 using VBITS=256
  149. Sun Sep 17 17:43:13 2023 initialized process (0,0) of 1 x 2 grid
  150. Sun Sep 17 17:43:15 2023 read 29251167 cycles
  151. Sun Sep 17 17:43:51 2023 cycles contain 104638727 unique relations
  152. Sun Sep 17 17:45:12 2023 read 104638727 relations
  153. Sun Sep 17 17:45:36 2023 using 20 quadratic characters above 4294917295
  154. Sun Sep 17 17:46:14 2023 building initial matrix
  155. Sun Sep 17 17:58:00 2023 memory use: 13128.5 MB
  156. Sun Sep 17 17:58:11 2023 read 29251167 cycles
  157. Sun Sep 17 17:58:15 2023 matrix is 29250990 x 29251167 (12858.9 MB) with weight 3698873873 (126.45/col)
  158. Sun Sep 17 17:58:15 2023 sparse part has weight 3049115899 (104.24/col)
  159. Sun Sep 17 18:01:12 2023 filtering completed in 2 passes
  160. Sun Sep 17 18:01:15 2023 matrix is 29250275 x 29250450 (12858.8 MB) with weight 3698850150 (126.45/col)
  161. Sun Sep 17 18:01:15 2023 sparse part has weight 3049109108 (104.24/col)
  162. Sun Sep 17 18:02:04 2023 matrix starts at (0, 0)
  163. Sun Sep 17 18:02:06 2023 matrix is 29250275 x 14625267 (6429.4 MB) with weight 1849431963 (126.45/col)
  164. Sun Sep 17 18:02:06 2023 sparse part has weight 1524554660 (104.24/col)
  165. Sun Sep 17 18:02:06 2023 saving the first 240 matrix rows for later
  166. Sun Sep 17 18:02:07 2023 matrix includes 256 packed rows
  167. Sun Sep 17 18:02:12 2023 matrix is 29250035 x 14625267 (6018.8 MB) with weight 1406564322 (96.17/col)
  168. Sun Sep 17 18:02:12 2023 sparse part has weight 1343783738 (91.88/col)
  169. Sun Sep 17 18:02:12 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  170. Sun Sep 17 18:02:12 2023 selected card has CUDA arch 8.6
  171. Sun Sep 17 18:03:09 2023 commencing Lanczos iteration
  172. Sun Sep 17 18:03:10 2023 memory use: 15329.2 MB
  173. Sun Sep 17 18:04:02 2023 linear algebra at 0.1%, ETA 13h14m
  174. Sun Sep 17 18:05:16 2023 checking every 30000 dimensions, checkpointing every 2250000 dimensions
  175. Mon Sep 18 07:44:31 2023 lanczos halted after 114601 iterations (dim = 29250031)
  176. Mon Sep 18 07:45:49 2023 recovered 38 nontrivial dependencies
  177. Mon Sep 18 07:45:49 2023 BLanczosTime: 50556
  178. Mon Sep 18 07:45:49 2023 elapsed time 14:02:36
  179. Mon Sep 18 07:45:49 2023
  180. Mon Sep 18 07:45:49 2023
  181. Mon Sep 18 07:45:49 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  182. Mon Sep 18 07:45:49 2023 random seeds: e67b030e d16317a9
  183. Mon Sep 18 07:45:49 2023 Using 16 OpenMP threads
  184. Mon Sep 18 07:45:49 2023 factoring 190756226421731880715743368662554252923033384097949122794849286883731887788391959903850872488691431936404338397393303253988085187172036774348459689856771700032776416314499511006468332641662774090711350890096042621188542898904061884363 (234 digits)
  185. Mon Sep 18 07:45:50 2023 no P-1/P+1/ECM available, skipping
  186. Mon Sep 18 07:45:50 2023 commencing number field sieve (234-digit input)
  187. Mon Sep 18 07:45:50 2023 R0: 4318114567396436564035293097707728087552248849
  188. Mon Sep 18 07:45:50 2023 R1: -324518553658426726783156020576256
  189. Mon Sep 18 07:45:50 2023 A0: 7
  190. Mon Sep 18 07:45:50 2023 A1: 0
  191. Mon Sep 18 07:45:50 2023 A2: 0
  192. Mon Sep 18 07:45:50 2023 A3: 0
  193. Mon Sep 18 07:45:50 2023 A4: 0
  194. Mon Sep 18 07:45:50 2023 A5: 0
  195. Mon Sep 18 07:45:50 2023 A6: 4
  196. Mon Sep 18 07:45:50 2023 skew 1.10, size 1.475e-13, alpha 1.534, combined = 2.743e-14 rroots = 0
  197. Mon Sep 18 07:45:50 2023
  198. Mon Sep 18 07:45:50 2023 commencing square root phase
  199. Mon Sep 18 07:45:50 2023 reading relations for dependency 1
  200. Mon Sep 18 07:45:51 2023 read 14626702 cycles
  201. Mon Sep 18 07:46:10 2023 cycles contain 52314160 unique relations
  202. Mon Sep 18 07:46:39 2023 read 52314160 relations
  203. Mon Sep 18 07:48:59 2023 multiplying 52314160 relations
  204. Mon Sep 18 07:52:58 2023 multiply complete, coefficients have about 1486.87 million bits
  205. Mon Sep 18 07:53:00 2023 initial square root is modulo 4673917
  206. Mon Sep 18 07:59:17 2023 GCD is 1, no factor found
  207. Mon Sep 18 07:59:17 2023 reading relations for dependency 2
  208. Mon Sep 18 07:59:18 2023 read 14623838 cycles
  209. Mon Sep 18 07:59:36 2023 cycles contain 52315560 unique relations
  210. Mon Sep 18 08:00:04 2023 read 52315560 relations
  211. Mon Sep 18 08:02:30 2023 multiplying 52315560 relations
  212. Mon Sep 18 08:06:28 2023 multiply complete, coefficients have about 1486.89 million bits
  213. Mon Sep 18 08:06:30 2023 initial square root is modulo 4674907
  214. Mon Sep 18 08:12:47 2023 sqrtTime: 1617
  215. Mon Sep 18 08:12:47 2023 p95 factor: 97074260239512168335778577509531367446651560779656414398495263893890355742132337301214150608073
  216. Mon Sep 18 08:12:47 2023 p139 factor: 1965054649410434658344518793268088210806312957237278339389661924995514028505229147262335894877161263392801895249351888963218483098405471731
  217. Mon Sep 18 08:12:47 2023 elapsed time 00:26:58
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