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C168_13800_2520

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Mar 13th, 2023
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  1. Mon Mar 13 12:29:51 2023 Msieve v. 1.54 (SVN 03e8738)
  2. Mon Mar 13 12:29:51 2023 random seeds: bfc73061 432bc8f4
  3. Mon Mar 13 12:29:51 2023 Using 16 OpenMP threads
  4. Mon Mar 13 12:29:51 2023 factoring 310568995062528673337727384913614033913052165297153092857728210752891295474489891993423284673986652258582165257212393931909612756387783382693384759162598354067743261041 (168 digits)
  5. Mon Mar 13 12:29:51 2023 no P-1/P+1/ECM available, skipping
  6. Mon Mar 13 12:29:51 2023 commencing number field sieve (168-digit input)
  7. Mon Mar 13 12:29:51 2023 R0: -268349316269785284132169397989163
  8. Mon Mar 13 12:29:51 2023 R1: 7160694721520105472664061
  9. Mon Mar 13 12:29:51 2023 A0: -8552324791773821893904229147400629512
  10. Mon Mar 13 12:29:51 2023 A1: 49736029537863057963619987889445
  11. Mon Mar 13 12:29:51 2023 A2: -31382347391180807843538502
  12. Mon Mar 13 12:29:51 2023 A3: 7702911684341162465
  13. Mon Mar 13 12:29:51 2023 A4: 10794655738904
  14. Mon Mar 13 12:29:51 2023 A5: 599760
  15. Mon Mar 13 12:29:51 2023 skew 2764846.73, size 3.093e-16, alpha -6.006, combined = 5.837e-13 rroots = 3
  16. Mon Mar 13 12:29:51 2023
  17. Mon Mar 13 12:29:51 2023 commencing relation filtering
  18. Mon Mar 13 12:29:51 2023 estimated available RAM is 64238.6 MB
  19. Mon Mar 13 12:29:51 2023 commencing duplicate removal, pass 1
  20. Mon Mar 13 12:30:46 2023 found 4941908 hash collisions in 76308335 relations
  21. Mon Mar 13 12:31:01 2023 added 122411 free relations
  22. Mon Mar 13 12:31:01 2023 commencing duplicate removal, pass 2
  23. Mon Mar 13 12:31:13 2023 found 0 duplicates and 76430746 unique relations
  24. Mon Mar 13 12:31:13 2023 memory use: 213.2 MB
  25. Mon Mar 13 12:31:13 2023 reading ideals above 720000
  26. Mon Mar 13 12:31:13 2023 commencing singleton removal, initial pass
  27. Mon Mar 13 12:33:20 2023 memory use: 1506.0 MB
  28. Mon Mar 13 12:33:20 2023 reading all ideals from disk
  29. Mon Mar 13 12:33:21 2023 memory use: 3506.4 MB
  30. Mon Mar 13 12:33:24 2023 keeping 66905253 ideals with weight <= 200, target excess is 404868
  31. Mon Mar 13 12:33:28 2023 commencing in-memory singleton removal
  32. Mon Mar 13 12:33:29 2023 begin with 76430746 relations and 66905253 unique ideals
  33. Mon Mar 13 12:33:37 2023 reduce to 63269941 relations and 53267429 ideals in 15 passes
  34. Mon Mar 13 12:33:37 2023 max relations containing the same ideal: 185
  35. Mon Mar 13 12:33:49 2023 removing 5595839 relations and 4595839 ideals in 1000000 cliques
  36. Mon Mar 13 12:33:50 2023 commencing in-memory singleton removal
  37. Mon Mar 13 12:33:51 2023 begin with 57674102 relations and 53267429 unique ideals
  38. Mon Mar 13 12:33:54 2023 reduce to 57314331 relations and 48304652 ideals in 7 passes
  39. Mon Mar 13 12:33:54 2023 max relations containing the same ideal: 173
  40. Mon Mar 13 12:34:05 2023 removing 4274496 relations and 3274496 ideals in 1000000 cliques
  41. Mon Mar 13 12:34:06 2023 commencing in-memory singleton removal
  42. Mon Mar 13 12:34:07 2023 begin with 53039835 relations and 48304652 unique ideals
  43. Mon Mar 13 12:34:10 2023 reduce to 52798452 relations and 44784564 ideals in 8 passes
  44. Mon Mar 13 12:34:10 2023 max relations containing the same ideal: 167
  45. Mon Mar 13 12:34:20 2023 removing 3875029 relations and 2875029 ideals in 1000000 cliques
  46. Mon Mar 13 12:34:21 2023 commencing in-memory singleton removal
  47. Mon Mar 13 12:34:21 2023 begin with 48923423 relations and 44784564 unique ideals
  48. Mon Mar 13 12:34:24 2023 reduce to 48709556 relations and 41691931 ideals in 7 passes
  49. Mon Mar 13 12:34:24 2023 max relations containing the same ideal: 164
  50. Mon Mar 13 12:34:32 2023 removing 3672808 relations and 2672808 ideals in 1000000 cliques
  51. Mon Mar 13 12:34:33 2023 commencing in-memory singleton removal
  52. Mon Mar 13 12:34:34 2023 begin with 45036748 relations and 41691931 unique ideals
  53. Mon Mar 13 12:34:36 2023 reduce to 44831665 relations and 38810294 ideals in 6 passes
  54. Mon Mar 13 12:34:36 2023 max relations containing the same ideal: 155
  55. Mon Mar 13 12:34:44 2023 removing 3544775 relations and 2544775 ideals in 1000000 cliques
  56. Mon Mar 13 12:34:45 2023 commencing in-memory singleton removal
  57. Mon Mar 13 12:34:46 2023 begin with 41286890 relations and 38810294 unique ideals
  58. Mon Mar 13 12:34:48 2023 reduce to 41085011 relations and 36059651 ideals in 7 passes
  59. Mon Mar 13 12:34:48 2023 max relations containing the same ideal: 145
  60. Mon Mar 13 12:34:55 2023 removing 3460834 relations and 2460834 ideals in 1000000 cliques
  61. Mon Mar 13 12:34:56 2023 commencing in-memory singleton removal
  62. Mon Mar 13 12:34:56 2023 begin with 37624177 relations and 36059651 unique ideals
  63. Mon Mar 13 12:34:58 2023 reduce to 37417758 relations and 33387917 ideals in 7 passes
  64. Mon Mar 13 12:34:58 2023 max relations containing the same ideal: 138
  65. Mon Mar 13 12:35:05 2023 removing 3404321 relations and 2404321 ideals in 1000000 cliques
  66. Mon Mar 13 12:35:06 2023 commencing in-memory singleton removal
  67. Mon Mar 13 12:35:06 2023 begin with 34013437 relations and 33387917 unique ideals
  68. Mon Mar 13 12:35:08 2023 reduce to 33797373 relations and 30762558 ideals in 8 passes
  69. Mon Mar 13 12:35:08 2023 max relations containing the same ideal: 127
  70. Mon Mar 13 12:35:15 2023 removing 3367693 relations and 2367693 ideals in 1000000 cliques
  71. Mon Mar 13 12:35:15 2023 commencing in-memory singleton removal
  72. Mon Mar 13 12:35:16 2023 begin with 30429680 relations and 30762558 unique ideals
  73. Mon Mar 13 12:35:17 2023 reduce to 30197657 relations and 28157030 ideals in 8 passes
  74. Mon Mar 13 12:35:17 2023 max relations containing the same ideal: 115
  75. Mon Mar 13 12:35:23 2023 removing 3349277 relations and 2349277 ideals in 1000000 cliques
  76. Mon Mar 13 12:35:24 2023 commencing in-memory singleton removal
  77. Mon Mar 13 12:35:24 2023 begin with 26848380 relations and 28157030 unique ideals
  78. Mon Mar 13 12:35:26 2023 reduce to 26589051 relations and 25541088 ideals in 8 passes
  79. Mon Mar 13 12:35:26 2023 max relations containing the same ideal: 106
  80. Mon Mar 13 12:35:31 2023 removing 2155274 relations and 1576958 ideals in 578316 cliques
  81. Mon Mar 13 12:35:31 2023 commencing in-memory singleton removal
  82. Mon Mar 13 12:35:31 2023 begin with 24433777 relations and 25541088 unique ideals
  83. Mon Mar 13 12:35:33 2023 reduce to 24313146 relations and 23841240 ideals in 7 passes
  84. Mon Mar 13 12:35:33 2023 max relations containing the same ideal: 102
  85. Mon Mar 13 12:35:39 2023 relations with 0 large ideals: 1412
  86. Mon Mar 13 12:35:39 2023 relations with 1 large ideals: 3718
  87. Mon Mar 13 12:35:39 2023 relations with 2 large ideals: 59440
  88. Mon Mar 13 12:35:39 2023 relations with 3 large ideals: 443238
  89. Mon Mar 13 12:35:39 2023 relations with 4 large ideals: 1782495
  90. Mon Mar 13 12:35:39 2023 relations with 5 large ideals: 4271204
  91. Mon Mar 13 12:35:39 2023 relations with 6 large ideals: 6453519
  92. Mon Mar 13 12:35:39 2023 relations with 7+ large ideals: 11298120
  93. Mon Mar 13 12:35:39 2023 commencing 2-way merge
  94. Mon Mar 13 12:35:47 2023 reduce to 16471380 relation sets and 15999474 unique ideals
  95. Mon Mar 13 12:35:47 2023 commencing full merge
  96. Mon Mar 13 12:38:20 2023 memory use: 1915.2 MB
  97. Mon Mar 13 12:38:21 2023 found 8136150 cycles, need 8071674
  98. Mon Mar 13 12:38:22 2023 weight of 8071674 cycles is about 726803933 (90.04/cycle)
  99. Mon Mar 13 12:38:22 2023 distribution of cycle lengths:
  100. Mon Mar 13 12:38:22 2023 1 relations: 496816
  101. Mon Mar 13 12:38:22 2023 2 relations: 739600
  102. Mon Mar 13 12:38:22 2023 3 relations: 849995
  103. Mon Mar 13 12:38:22 2023 4 relations: 839714
  104. Mon Mar 13 12:38:22 2023 5 relations: 822527
  105. Mon Mar 13 12:38:22 2023 6 relations: 772078
  106. Mon Mar 13 12:38:22 2023 7 relations: 702349
  107. Mon Mar 13 12:38:22 2023 8 relations: 616803
  108. Mon Mar 13 12:38:22 2023 9 relations: 526878
  109. Mon Mar 13 12:38:22 2023 10+ relations: 1704914
  110. Mon Mar 13 12:38:22 2023 heaviest cycle: 22 relations
  111. Mon Mar 13 12:38:23 2023 commencing cycle optimization
  112. Mon Mar 13 12:38:31 2023 start with 52307520 relations
  113. Mon Mar 13 12:39:20 2023 pruned 1908557 relations
  114. Mon Mar 13 12:39:20 2023 memory use: 1556.1 MB
  115. Mon Mar 13 12:39:20 2023 distribution of cycle lengths:
  116. Mon Mar 13 12:39:20 2023 1 relations: 496816
  117. Mon Mar 13 12:39:20 2023 2 relations: 760184
  118. Mon Mar 13 12:39:20 2023 3 relations: 889682
  119. Mon Mar 13 12:39:20 2023 4 relations: 872928
  120. Mon Mar 13 12:39:20 2023 5 relations: 859218
  121. Mon Mar 13 12:39:20 2023 6 relations: 799285
  122. Mon Mar 13 12:39:20 2023 7 relations: 724721
  123. Mon Mar 13 12:39:20 2023 8 relations: 628214
  124. Mon Mar 13 12:39:20 2023 9 relations: 528541
  125. Mon Mar 13 12:39:20 2023 10+ relations: 1512085
  126. Mon Mar 13 12:39:20 2023 heaviest cycle: 22 relations
  127. Mon Mar 13 12:39:28 2023 RelProcTime: 577
  128. Mon Mar 13 12:39:28 2023
  129. Mon Mar 13 12:39:28 2023 commencing linear algebra
  130. Mon Mar 13 12:39:28 2023 using VBITS=256
  131. Mon Mar 13 12:39:28 2023 read 8071674 cycles
  132. Mon Mar 13 12:39:36 2023 cycles contain 24055263 unique relations
  133. Mon Mar 13 12:39:49 2023 read 24055263 relations
  134. Mon Mar 13 12:39:51 2023 using 20 quadratic characters above 4294917295
  135. Mon Mar 13 12:39:55 2023 building initial matrix
  136. Mon Mar 13 12:42:24 2023 memory use: 3346.5 MB
  137. Mon Mar 13 12:42:26 2023 read 8071674 cycles
  138. Mon Mar 13 12:42:27 2023 matrix is 8071497 x 8071674 (3002.6 MB) with weight 926970557 (114.84/col)
  139. Mon Mar 13 12:42:27 2023 sparse part has weight 690259111 (85.52/col)
  140. Mon Mar 13 12:43:03 2023 filtering completed in 2 passes
  141. Mon Mar 13 12:43:05 2023 matrix is 8070885 x 8071062 (3002.6 MB) with weight 926946780 (114.85/col)
  142. Mon Mar 13 12:43:05 2023 sparse part has weight 690252978 (85.52/col)
  143. Mon Mar 13 12:43:13 2023 matrix starts at (0, 0)
  144. Mon Mar 13 12:43:14 2023 matrix is 8070885 x 8071062 (3002.6 MB) with weight 926946780 (114.85/col)
  145. Mon Mar 13 12:43:14 2023 sparse part has weight 690252978 (85.52/col)
  146. Mon Mar 13 12:43:14 2023 saving the first 240 matrix rows for later
  147. Mon Mar 13 12:43:15 2023 matrix includes 256 packed rows
  148. Mon Mar 13 12:43:17 2023 matrix is 8070645 x 8071062 (2724.0 MB) with weight 626103083 (77.57/col)
  149. Mon Mar 13 12:43:17 2023 sparse part has weight 584931348 (72.47/col)
  150. Mon Mar 13 12:43:17 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  151. Mon Mar 13 12:43:17 2023 selected card has CUDA arch 8.6
  152. Mon Mar 13 12:43:40 2023 commencing Lanczos iteration
  153. Mon Mar 13 12:43:41 2023 memory use: 6494.7 MB
  154. Mon Mar 13 12:44:01 2023 linear algebra at 0.4%, ETA 1h27m
  155. Mon Mar 13 12:44:30 2023 checking every 90000 dimensions, checkpointing every 5670000 dimensions
  156. Mon Mar 13 14:08:43 2023 lanczos halted after 31622 iterations (dim = 8070642)
  157. Mon Mar 13 14:09:15 2023 recovered 30 nontrivial dependencies
  158. Mon Mar 13 14:09:15 2023 BLanczosTime: 5387
  159. Mon Mar 13 14:09:15 2023
  160. Mon Mar 13 14:09:15 2023 commencing square root phase
  161. Mon Mar 13 14:09:15 2023 reading relations for dependency 1
  162. Mon Mar 13 14:09:17 2023 read 4032344 cycles
  163. Mon Mar 13 14:09:21 2023 cycles contain 12025276 unique relations
  164. Mon Mar 13 14:09:31 2023 read 12025276 relations
  165. Mon Mar 13 14:09:59 2023 multiplying 12025276 relations
  166. Mon Mar 13 14:13:27 2023 multiply complete, coefficients have about 678.62 million bits
  167. Mon Mar 13 14:13:28 2023 initial square root is modulo 1225303
  168. Mon Mar 13 14:15:53 2023 GCD is 1, no factor found
  169. Mon Mar 13 14:15:53 2023 reading relations for dependency 2
  170. Mon Mar 13 14:15:54 2023 read 4032719 cycles
  171. Mon Mar 13 14:15:58 2023 cycles contain 12025196 unique relations
  172. Mon Mar 13 14:16:08 2023 read 12025196 relations
  173. Mon Mar 13 14:16:45 2023 multiplying 12025196 relations
  174. Mon Mar 13 14:20:10 2023 multiply complete, coefficients have about 678.61 million bits
  175. Mon Mar 13 14:20:12 2023 initial square root is modulo 1225219
  176. Mon Mar 13 14:22:41 2023 sqrtTime: 806
  177. Mon Mar 13 14:22:41 2023 p58 factor: 2214199080995472972211874662721363705698024528231533763021
  178. Mon Mar 13 14:22:41 2023 p111 factor: 140262453240158148797089222351148228797674532066075618062902779742910853531260654144958107910282756795642925621
  179. Mon Mar 13 14:22:41 2023 elapsed time 01:52:50
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