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Msieve log of 10p3_308

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Jul 25th, 2022
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  1. Thu Jul 07 20:43:41 2022
  2. Thu Jul 07 20:43:41 2022
  3. Thu Jul 07 20:43:41 2022 Msieve v. 1.52 (SVN unknown)
  4. Thu Jul 07 20:43:41 2022 random seeds: e29bfc94 6fa5af0f
  5. Thu Jul 07 20:43:41 2022 factoring 2221198150193660658240865373777548361340017887135400550630418507842745730723898418212601587334024772016405536434847439796078865605041701122210585756104139293688920233874872737599198881412221263961 (196 digits)
  6. Thu Jul 07 20:43:42 2022 no P-1/P+1/ECM available, skipping
  7. Thu Jul 07 20:43:42 2022 commencing number field sieve (196-digit input)
  8. Thu Jul 07 20:43:42 2022 R0: 100000000000000000000000000000000000000000000
  9. Thu Jul 07 20:43:42 2022 R1: -984770902183611232881
  10. Thu Jul 07 20:43:42 2022 A0: 1
  11. Thu Jul 07 20:43:42 2022 A1: -1
  12. Thu Jul 07 20:43:42 2022 A2: 1
  13. Thu Jul 07 20:43:42 2022 A3: -1
  14. Thu Jul 07 20:43:42 2022 A4: 1
  15. Thu Jul 07 20:43:42 2022 A5: -1
  16. Thu Jul 07 20:43:42 2022 A6: 1
  17. Thu Jul 07 20:43:42 2022 skew 1.00, size 5.218e-013, alpha 2.428, combined = 7.073e-014 rroots = 0
  18. Thu Jul 07 20:43:42 2022
  19. Thu Jul 07 20:43:42 2022 commencing relation filtering
  20. Thu Jul 07 20:43:42 2022 setting target matrix density to 106.0
  21. Thu Jul 07 20:43:42 2022 estimated available RAM is 16316.6 MB
  22. Thu Jul 07 20:43:42 2022 commencing duplicate removal, pass 1
  23. Thu Jul 07 20:44:11 2022 error -15 reading relation 3099730
  24. Thu Jul 07 20:44:11 2022 error -15 reading relation 3099838
  25. Thu Jul 07 20:44:20 2022 error -9 reading relation 4121083
  26. Thu Jul 07 20:44:23 2022 error -9 reading relation 4398217
  27. Thu Jul 07 21:21:07 2022 error -5 reading relation 242688771
  28. Thu Jul 07 21:21:07 2022 error -9 reading relation 242777387
  29. Thu Jul 07 21:21:11 2022 error -9 reading relation 243157702
  30. Thu Jul 07 21:21:14 2022 error -5 reading relation 243494957
  31. Thu Jul 07 21:21:19 2022 skipped 793 relations with b > 2^32
  32. Thu Jul 07 21:21:19 2022 found 55321055 hash collisions in 244024063 relations
  33. Thu Jul 07 21:21:32 2022 added 2438534 free relations
  34. Thu Jul 07 21:21:32 2022 commencing duplicate removal, pass 2
  35. Thu Jul 07 21:28:19 2022 found 59562036 duplicates and 186900561 unique relations
  36. Thu Jul 07 21:28:19 2022 memory use: 1449.5 MB
  37. Thu Jul 07 21:28:19 2022 reading ideals above 204931072
  38. Thu Jul 07 21:28:19 2022 commencing singleton removal, initial pass
  39. Thu Jul 07 22:00:59 2022 memory use: 3012.0 MB
  40. Thu Jul 07 22:00:59 2022 reading all ideals from disk
  41. Thu Jul 07 22:01:34 2022 memory use: 3182.4 MB
  42. Thu Jul 07 22:01:41 2022 commencing in-memory singleton removal
  43. Thu Jul 07 22:01:46 2022 begin with 186900561 relations and 156900906 unique ideals
  44. Thu Jul 07 22:02:58 2022 reduce to 119823160 relations and 82967178 ideals in 15 passes
  45. Thu Jul 07 22:02:58 2022 max relations containing the same ideal: 30
  46. Thu Jul 07 22:03:06 2022 reading ideals above 720000
  47. Thu Jul 07 22:03:07 2022 commencing singleton removal, initial pass
  48. Thu Jul 07 22:29:50 2022 memory use: 2756.0 MB
  49. Thu Jul 07 22:29:51 2022 reading all ideals from disk
  50. Thu Jul 07 22:30:51 2022 memory use: 4969.9 MB
  51. Thu Jul 07 22:31:04 2022 keeping 105009011 ideals with weight <= 200, target excess is 632450
  52. Thu Jul 07 22:31:18 2022 commencing in-memory singleton removal
  53. Thu Jul 07 22:31:28 2022 begin with 119823160 relations and 105009011 unique ideals
  54. Thu Jul 07 22:33:06 2022 reduce to 119814302 relations and 105000099 ideals in 9 passes
  55. Thu Jul 07 22:33:06 2022 max relations containing the same ideal: 200
  56. Thu Jul 07 22:34:02 2022 removing 12043257 relations and 10043257 ideals in 2000000 cliques
  57. Thu Jul 07 22:34:05 2022 commencing in-memory singleton removal
  58. Thu Jul 07 22:34:14 2022 begin with 107771045 relations and 105000099 unique ideals
  59. Thu Jul 07 22:35:33 2022 reduce to 106746448 relations and 93909025 ideals in 8 passes
  60. Thu Jul 07 22:35:33 2022 max relations containing the same ideal: 197
  61. Thu Jul 07 22:36:24 2022 removing 9250431 relations and 7250431 ideals in 2000000 cliques
  62. Thu Jul 07 22:36:27 2022 commencing in-memory singleton removal
  63. Thu Jul 07 22:36:35 2022 begin with 97496017 relations and 93909025 unique ideals
  64. Thu Jul 07 22:37:46 2022 reduce to 96807449 relations and 85956317 ideals in 8 passes
  65. Thu Jul 07 22:37:46 2022 max relations containing the same ideal: 186
  66. Thu Jul 07 22:38:33 2022 removing 8417148 relations and 6417148 ideals in 2000000 cliques
  67. Thu Jul 07 22:38:35 2022 commencing in-memory singleton removal
  68. Thu Jul 07 22:38:43 2022 begin with 88390301 relations and 85956317 unique ideals
  69. Thu Jul 07 22:39:55 2022 reduce to 87767672 relations and 78904055 ideals in 9 passes
  70. Thu Jul 07 22:39:55 2022 max relations containing the same ideal: 175
  71. Thu Jul 07 22:40:37 2022 removing 8010042 relations and 6010042 ideals in 2000000 cliques
  72. Thu Jul 07 22:40:40 2022 commencing in-memory singleton removal
  73. Thu Jul 07 22:40:46 2022 begin with 79757630 relations and 78904055 unique ideals
  74. Thu Jul 07 22:41:43 2022 reduce to 79148073 relations and 72271428 ideals in 8 passes
  75. Thu Jul 07 22:41:43 2022 max relations containing the same ideal: 162
  76. Thu Jul 07 22:42:22 2022 removing 7784566 relations and 5784566 ideals in 2000000 cliques
  77. Thu Jul 07 22:42:24 2022 commencing in-memory singleton removal
  78. Thu Jul 07 22:42:30 2022 begin with 71363507 relations and 72271428 unique ideals
  79. Thu Jul 07 22:43:20 2022 reduce to 70736690 relations and 65845891 ideals in 8 passes
  80. Thu Jul 07 22:43:20 2022 max relations containing the same ideal: 149
  81. Thu Jul 07 22:43:55 2022 removing 7652453 relations and 5652453 ideals in 2000000 cliques
  82. Thu Jul 07 22:43:57 2022 commencing in-memory singleton removal
  83. Thu Jul 07 22:44:02 2022 begin with 63084237 relations and 65845891 unique ideals
  84. Thu Jul 07 22:44:47 2022 reduce to 62418155 relations and 59510723 ideals in 8 passes
  85. Thu Jul 07 22:44:47 2022 max relations containing the same ideal: 139
  86. Thu Jul 07 22:45:18 2022 removing 7583576 relations and 5583576 ideals in 2000000 cliques
  87. Thu Jul 07 22:45:20 2022 commencing in-memory singleton removal
  88. Thu Jul 07 22:45:24 2022 begin with 54834579 relations and 59510723 unique ideals
  89. Thu Jul 07 22:46:07 2022 reduce to 54096505 relations and 53168300 ideals in 9 passes
  90. Thu Jul 07 22:46:07 2022 max relations containing the same ideal: 125
  91. Thu Jul 07 22:46:34 2022 removing 1152035 relations and 957473 ideals in 194562 cliques
  92. Thu Jul 07 22:46:35 2022 commencing in-memory singleton removal
  93. Thu Jul 07 22:46:39 2022 begin with 52944470 relations and 53168300 unique ideals
  94. Thu Jul 07 22:47:07 2022 reduce to 52927555 relations and 52193851 ideals in 6 passes
  95. Thu Jul 07 22:47:07 2022 max relations containing the same ideal: 124
  96. Thu Jul 07 22:47:18 2022 relations with 0 large ideals: 48028
  97. Thu Jul 07 22:47:18 2022 relations with 1 large ideals: 6394
  98. Thu Jul 07 22:47:18 2022 relations with 2 large ideals: 50005
  99. Thu Jul 07 22:47:18 2022 relations with 3 large ideals: 423823
  100. Thu Jul 07 22:47:18 2022 relations with 4 large ideals: 2043426
  101. Thu Jul 07 22:47:18 2022 relations with 5 large ideals: 6013943
  102. Thu Jul 07 22:47:18 2022 relations with 6 large ideals: 11281188
  103. Thu Jul 07 22:47:18 2022 relations with 7+ large ideals: 33060748
  104. Thu Jul 07 22:47:18 2022 commencing 2-way merge
  105. Thu Jul 07 22:47:54 2022 reduce to 34957891 relation sets and 34224187 unique ideals
  106. Thu Jul 07 22:47:54 2022 commencing full merge
  107. Thu Jul 07 23:04:59 2022 memory use: 4805.0 MB
  108. Thu Jul 07 23:05:04 2022 found 16520856 cycles, need 16476387
  109. Thu Jul 07 23:05:05 2022 weight of 16476387 cycles is about 1747012309 (106.03/cycle)
  110. Thu Jul 07 23:05:05 2022 distribution of cycle lengths:
  111. Thu Jul 07 23:05:05 2022 1 relations: 1176482
  112. Thu Jul 07 23:05:05 2022 2 relations: 1347756
  113. Thu Jul 07 23:05:05 2022 3 relations: 1412006
  114. Thu Jul 07 23:05:05 2022 4 relations: 1367426
  115. Thu Jul 07 23:05:05 2022 5 relations: 1314603
  116. Thu Jul 07 23:05:05 2022 6 relations: 1243003
  117. Thu Jul 07 23:05:05 2022 7 relations: 1161687
  118. Thu Jul 07 23:05:05 2022 8 relations: 1075033
  119. Thu Jul 07 23:05:05 2022 9 relations: 980964
  120. Thu Jul 07 23:05:05 2022 10+ relations: 5397427
  121. Thu Jul 07 23:05:05 2022 heaviest cycle: 28 relations
  122. Thu Jul 07 23:05:08 2022 commencing cycle optimization
  123. Thu Jul 07 23:05:36 2022 start with 129155606 relations
  124. Thu Jul 07 23:11:41 2022 pruned 5157549 relations
  125. Thu Jul 07 23:11:41 2022 memory use: 3532.4 MB
  126. Thu Jul 07 23:11:41 2022 distribution of cycle lengths:
  127. Thu Jul 07 23:11:41 2022 1 relations: 1176482
  128. Thu Jul 07 23:11:41 2022 2 relations: 1375522
  129. Thu Jul 07 23:11:41 2022 3 relations: 1465709
  130. Thu Jul 07 23:11:41 2022 4 relations: 1416491
  131. Thu Jul 07 23:11:41 2022 5 relations: 1371301
  132. Thu Jul 07 23:11:41 2022 6 relations: 1290623
  133. Thu Jul 07 23:11:41 2022 7 relations: 1207672
  134. Thu Jul 07 23:11:41 2022 8 relations: 1111337
  135. Thu Jul 07 23:11:41 2022 9 relations: 1010422
  136. Thu Jul 07 23:11:41 2022 10+ relations: 5050828
  137. Thu Jul 07 23:11:41 2022 heaviest cycle: 28 relations
  138. Thu Jul 07 23:12:37 2022 RelProcTime: 8935
  139. Thu Jul 07 23:12:38 2022
  140. Thu Jul 07 23:12:38 2022 commencing linear algebra
  141. Thu Jul 07 23:12:40 2022 read 16476387 cycles
  142. Thu Jul 07 23:13:12 2022 cycles contain 52514705 unique relations
  143. Thu Jul 07 23:22:23 2022 read 52514705 relations
  144. Thu Jul 07 23:24:01 2022 using 20 quadratic characters above 2147483354
  145. Thu Jul 07 23:27:40 2022 building initial matrix
  146. Thu Jul 07 23:37:35 2022 memory use: 6580.1 MB
  147. Thu Jul 07 23:37:58 2022 read 16476387 cycles
  148. Thu Jul 07 23:38:03 2022 matrix is 16476210 x 16476387 (6988.4 MB) with weight 1982967034 (120.35/col)
  149. Thu Jul 07 23:38:03 2022 sparse part has weight 1650716284 (100.19/col)
  150. Thu Jul 07 23:41:25 2022 filtering completed in 2 passes
  151. Thu Jul 07 23:41:30 2022 matrix is 16475749 x 16475926 (6988.3 MB) with weight 1982952683 (120.35/col)
  152. Thu Jul 07 23:41:30 2022 sparse part has weight 1650711409 (100.19/col)
  153. Thu Jul 07 23:44:09 2022 matrix starts at (0, 0)
  154. Thu Jul 07 23:44:14 2022 matrix is 16475749 x 16475926 (6988.3 MB) with weight 1982952683 (120.35/col)
  155. Thu Jul 07 23:44:14 2022 sparse part has weight 1650711409 (100.19/col)
  156. Thu Jul 07 23:44:14 2022 saving the first 48 matrix rows for later
  157. Thu Jul 07 23:44:19 2022 matrix includes 64 packed rows
  158. Thu Jul 07 23:44:21 2022 matrix is 16475701 x 16475926 (6690.6 MB) with weight 1696878430 (102.99/col)
  159. Thu Jul 07 23:44:21 2022 sparse part has weight 1589147294 (96.45/col)
  160. Thu Jul 07 23:44:21 2022 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  161. Thu Jul 07 23:45:54 2022 commencing Lanczos iteration (8 threads)
  162. Thu Jul 07 23:45:54 2022 memory use: 5749.3 MB
  163. Thu Jul 07 23:48:15 2022 linear algebra at 0.0%, ETA 405h38m
  164. Thu Jul 07 23:49:00 2022 checkpointing every 50000 dimensions
  165. Mon Jul 25 04:47:42 2022 lanczos halted after 260535 iterations (dim = 16475692)
  166. Mon Jul 25 04:48:47 2022 recovered 35 nontrivial dependencies
  167. Mon Jul 25 04:49:10 2022 BLanczosTime: 1488992
  168. Mon Jul 25 04:49:10 2022
  169. Mon Jul 25 04:49:10 2022 commencing square root phase
  170. Mon Jul 25 04:49:10 2022 handling dependencies 1 to 64
  171. Mon Jul 25 04:49:10 2022 reading relations for dependency 1
  172. Mon Jul 25 04:49:19 2022 read 8238884 cycles
  173. Mon Jul 25 04:49:34 2022 cycles contain 26257274 unique relations
  174. Mon Jul 25 04:56:29 2022 read 26257274 relations
  175. Mon Jul 25 04:58:52 2022 multiplying 26257274 relations
  176. Mon Jul 25 05:22:53 2022 multiply complete, coefficients have about 687.01 million bits
  177. Mon Jul 25 05:23:02 2022 initial square root is modulo 1457293
  178. Mon Jul 25 05:50:51 2022 GCD is N, no factor found
  179. Mon Jul 25 05:50:51 2022 reading relations for dependency 2
  180. Mon Jul 25 05:50:55 2022 read 8237377 cycles
  181. Mon Jul 25 05:51:09 2022 cycles contain 26257832 unique relations
  182. Mon Jul 25 05:58:00 2022 read 26257832 relations
  183. Mon Jul 25 06:00:22 2022 multiplying 26257832 relations
  184. Mon Jul 25 06:24:24 2022 multiply complete, coefficients have about 687.03 million bits
  185. Mon Jul 25 06:24:33 2022 initial square root is modulo 1457783
  186. Mon Jul 25 06:52:22 2022 sqrtTime: 7392
  187. Mon Jul 25 06:52:22 2022 prp71 factor: 21138257428341940342261700575370842035375710357751294329870507540918201
  188. Mon Jul 25 06:52:22 2022 prp126 factor: 105079529744750998018513045777273606303596229022954500786298185817107945564330122206003736103123659564505986531722592265913761
  189. Mon Jul 25 06:52:22 2022 elapsed time 418:08:41
  190.  
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