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Msieve log of 895__637_7m1

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Apr 11th, 2022
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  1. Sun Apr 10 18:07:19 2022
  2. Sun Apr 10 18:07:19 2022
  3. Sun Apr 10 18:07:19 2022 Msieve v. 1.52 (SVN unknown)
  4. Sun Apr 10 18:07:19 2022 random seeds: 0eb6cbe0 446457f6
  5. Sun Apr 10 18:07:19 2022 factoring 257047918629870687454918795852909435098674786841773285042119825371693213073958115754371821558010904450073544536227436370044718055241652108603919752237160982288441547201351341393 (177 digits)
  6. Sun Apr 10 18:07:21 2022 no P-1/P+1/ECM available, skipping
  7. Sun Apr 10 18:07:21 2022 commencing number field sieve (177-digit input)
  8. Sun Apr 10 18:07:21 2022 R0: 895444957565791173447100919955113823637
  9. Sun Apr 10 18:07:21 2022 R1: -1
  10. Sun Apr 10 18:07:21 2022 A0: 1
  11. Sun Apr 10 18:07:21 2022 A1: 1
  12. Sun Apr 10 18:07:21 2022 A2: 1
  13. Sun Apr 10 18:07:21 2022 A3: 1
  14. Sun Apr 10 18:07:21 2022 A4: 1
  15. Sun Apr 10 18:07:21 2022 A5: 1
  16. Sun Apr 10 18:07:21 2022 A6: 1
  17. Sun Apr 10 18:07:21 2022 skew 1.00, size 1.445e-011, alpha 2.428, combined = 8.344e-013 rroots = 0
  18. Sun Apr 10 18:07:21 2022
  19. Sun Apr 10 18:07:21 2022 commencing relation filtering
  20. Sun Apr 10 18:07:21 2022 setting target matrix density to 106.0
  21. Sun Apr 10 18:07:21 2022 estimated available RAM is 130978.7 MB
  22. Sun Apr 10 18:07:21 2022 commencing duplicate removal, pass 1
  23. Sun Apr 10 18:08:18 2022 error -9 reading relation 5583432
  24. Sun Apr 10 18:09:55 2022 error -9 reading relation 15208118
  25. Sun Apr 10 18:09:56 2022 error -5 reading relation 15332211
  26. Sun Apr 10 18:12:34 2022 error -9 reading relation 28937556
  27. Sun Apr 10 18:12:48 2022 error -5 reading relation 30383071
  28. Sun Apr 10 18:12:56 2022 error -9 reading relation 31132797
  29. Sun Apr 10 18:31:17 2022 error -15 reading relation 127562729
  30. Sun Apr 10 18:31:26 2022 error -9 reading relation 128392998
  31. Sun Apr 10 18:31:27 2022 error -9 reading relation 128473092
  32. Sun Apr 10 18:31:55 2022 skipped 17 relations with b > 2^32
  33. Sun Apr 10 18:31:55 2022 found 24246455 hash collisions in 130194954 relations
  34. Sun Apr 10 18:32:17 2022 added 2438534 free relations
  35. Sun Apr 10 18:32:17 2022 commencing duplicate removal, pass 2
  36. Sun Apr 10 18:33:17 2022 found 22740450 duplicates and 109893038 unique relations
  37. Sun Apr 10 18:33:17 2022 memory use: 660.8 MB
  38. Sun Apr 10 18:33:17 2022 reading ideals above 720000
  39. Sun Apr 10 18:33:18 2022 commencing singleton removal, initial pass
  40. Sun Apr 10 19:00:39 2022 memory use: 2756.0 MB
  41. Sun Apr 10 19:00:39 2022 reading all ideals from disk
  42. Sun Apr 10 19:00:41 2022 memory use: 4206.0 MB
  43. Sun Apr 10 19:01:00 2022 keeping 94557306 ideals with weight <= 200, target excess is 543941
  44. Sun Apr 10 19:01:20 2022 commencing in-memory singleton removal
  45. Sun Apr 10 19:01:36 2022 begin with 109893038 relations and 94557306 unique ideals
  46. Sun Apr 10 19:03:47 2022 reduce to 80607172 relations and 62899421 ideals in 11 passes
  47. Sun Apr 10 19:03:47 2022 max relations containing the same ideal: 170
  48. Sun Apr 10 19:04:39 2022 removing 8074535 relations and 6074535 ideals in 2000000 cliques
  49. Sun Apr 10 19:04:42 2022 commencing in-memory singleton removal
  50. Sun Apr 10 19:04:53 2022 begin with 72532637 relations and 62899421 unique ideals
  51. Sun Apr 10 19:06:20 2022 reduce to 71848493 relations and 56119292 ideals in 7 passes
  52. Sun Apr 10 19:06:20 2022 max relations containing the same ideal: 159
  53. Sun Apr 10 19:07:10 2022 removing 6515816 relations and 4515816 ideals in 2000000 cliques
  54. Sun Apr 10 19:07:13 2022 commencing in-memory singleton removal
  55. Sun Apr 10 19:07:22 2022 begin with 65332677 relations and 56119292 unique ideals
  56. Sun Apr 10 19:08:32 2022 reduce to 64845433 relations and 51102099 ideals in 8 passes
  57. Sun Apr 10 19:08:32 2022 max relations containing the same ideal: 149
  58. Sun Apr 10 19:09:16 2022 removing 6109118 relations and 4109118 ideals in 2000000 cliques
  59. Sun Apr 10 19:09:19 2022 commencing in-memory singleton removal
  60. Sun Apr 10 19:09:27 2022 begin with 58736315 relations and 51102099 unique ideals
  61. Sun Apr 10 19:10:36 2022 reduce to 58282684 relations and 46525988 ideals in 7 passes
  62. Sun Apr 10 19:10:36 2022 max relations containing the same ideal: 137
  63. Sun Apr 10 19:11:16 2022 removing 5916203 relations and 3916203 ideals in 2000000 cliques
  64. Sun Apr 10 19:11:19 2022 commencing in-memory singleton removal
  65. Sun Apr 10 19:11:26 2022 begin with 52366481 relations and 46525988 unique ideals
  66. Sun Apr 10 19:12:24 2022 reduce to 51911539 relations and 42140411 ideals in 7 passes
  67. Sun Apr 10 19:12:24 2022 max relations containing the same ideal: 126
  68. Sun Apr 10 19:13:01 2022 removing 5820847 relations and 3820847 ideals in 2000000 cliques
  69. Sun Apr 10 19:13:03 2022 commencing in-memory singleton removal
  70. Sun Apr 10 19:13:09 2022 begin with 46090692 relations and 42140411 unique ideals
  71. Sun Apr 10 19:13:53 2022 reduce to 45608518 relations and 37820382 ideals in 7 passes
  72. Sun Apr 10 19:13:53 2022 max relations containing the same ideal: 117
  73. Sun Apr 10 19:14:25 2022 removing 5776579 relations and 3776579 ideals in 2000000 cliques
  74. Sun Apr 10 19:14:27 2022 commencing in-memory singleton removal
  75. Sun Apr 10 19:14:32 2022 begin with 39831939 relations and 37820382 unique ideals
  76. Sun Apr 10 19:15:16 2022 reduce to 39303233 relations and 33494173 ideals in 7 passes
  77. Sun Apr 10 19:15:16 2022 max relations containing the same ideal: 110
  78. Sun Apr 10 19:15:42 2022 removing 5772305 relations and 3772305 ideals in 2000000 cliques
  79. Sun Apr 10 19:15:44 2022 commencing in-memory singleton removal
  80. Sun Apr 10 19:15:48 2022 begin with 33530928 relations and 33494173 unique ideals
  81. Sun Apr 10 19:16:22 2022 reduce to 32928907 relations and 29092774 ideals in 7 passes
  82. Sun Apr 10 19:16:22 2022 max relations containing the same ideal: 96
  83. Sun Apr 10 19:16:45 2022 removing 5793813 relations and 3793813 ideals in 2000000 cliques
  84. Sun Apr 10 19:16:47 2022 commencing in-memory singleton removal
  85. Sun Apr 10 19:16:50 2022 begin with 27135094 relations and 29092774 unique ideals
  86. Sun Apr 10 19:17:21 2022 reduce to 26416063 relations and 24541414 ideals in 8 passes
  87. Sun Apr 10 19:17:21 2022 max relations containing the same ideal: 87
  88. Sun Apr 10 19:17:39 2022 removing 3967159 relations and 2723482 ideals in 1243677 cliques
  89. Sun Apr 10 19:17:40 2022 commencing in-memory singleton removal
  90. Sun Apr 10 19:17:42 2022 begin with 22448904 relations and 24541414 unique ideals
  91. Sun Apr 10 19:18:02 2022 reduce to 21994129 relations and 21343084 ideals in 8 passes
  92. Sun Apr 10 19:18:02 2022 max relations containing the same ideal: 74
  93. Sun Apr 10 19:18:18 2022 removing 127200 relations and 107127 ideals in 20073 cliques
  94. Sun Apr 10 19:18:19 2022 commencing in-memory singleton removal
  95. Sun Apr 10 19:18:21 2022 begin with 21866929 relations and 21343084 unique ideals
  96. Sun Apr 10 19:18:34 2022 reduce to 21866321 relations and 21235349 ideals in 5 passes
  97. Sun Apr 10 19:18:34 2022 max relations containing the same ideal: 74
  98. Sun Apr 10 19:18:39 2022 relations with 0 large ideals: 41670
  99. Sun Apr 10 19:18:39 2022 relations with 1 large ideals: 9529
  100. Sun Apr 10 19:18:39 2022 relations with 2 large ideals: 109989
  101. Sun Apr 10 19:18:39 2022 relations with 3 large ideals: 685611
  102. Sun Apr 10 19:18:39 2022 relations with 4 large ideals: 2315649
  103. Sun Apr 10 19:18:39 2022 relations with 5 large ideals: 4645151
  104. Sun Apr 10 19:18:39 2022 relations with 6 large ideals: 5797046
  105. Sun Apr 10 19:18:39 2022 relations with 7+ large ideals: 8261676
  106. Sun Apr 10 19:18:39 2022 commencing 2-way merge
  107. Sun Apr 10 19:19:01 2022 reduce to 14963319 relation sets and 14332347 unique ideals
  108. Sun Apr 10 19:19:01 2022 commencing full merge
  109. Sun Apr 10 19:26:06 2022 memory use: 1956.2 MB
  110. Sun Apr 10 19:26:08 2022 found 6950258 cycles, need 6906547
  111. Sun Apr 10 19:26:09 2022 weight of 6906547 cycles is about 732637077 (106.08/cycle)
  112. Sun Apr 10 19:26:09 2022 distribution of cycle lengths:
  113. Sun Apr 10 19:26:09 2022 1 relations: 332569
  114. Sun Apr 10 19:26:09 2022 2 relations: 463094
  115. Sun Apr 10 19:26:09 2022 3 relations: 539236
  116. Sun Apr 10 19:26:09 2022 4 relations: 552811
  117. Sun Apr 10 19:26:09 2022 5 relations: 559807
  118. Sun Apr 10 19:26:09 2022 6 relations: 546363
  119. Sun Apr 10 19:26:09 2022 7 relations: 524736
  120. Sun Apr 10 19:26:09 2022 8 relations: 492057
  121. Sun Apr 10 19:26:09 2022 9 relations: 451041
  122. Sun Apr 10 19:26:09 2022 10+ relations: 2444833
  123. Sun Apr 10 19:26:09 2022 heaviest cycle: 28 relations
  124. Sun Apr 10 19:26:13 2022 commencing cycle optimization
  125. Sun Apr 10 19:26:29 2022 start with 57187316 relations
  126. Sun Apr 10 19:29:37 2022 pruned 2679032 relations
  127. Sun Apr 10 19:29:37 2022 memory use: 1499.3 MB
  128. Sun Apr 10 19:29:37 2022 distribution of cycle lengths:
  129. Sun Apr 10 19:29:37 2022 1 relations: 332569
  130. Sun Apr 10 19:29:37 2022 2 relations: 473730
  131. Sun Apr 10 19:29:37 2022 3 relations: 562199
  132. Sun Apr 10 19:29:37 2022 4 relations: 576461
  133. Sun Apr 10 19:29:37 2022 5 relations: 589249
  134. Sun Apr 10 19:29:37 2022 6 relations: 573526
  135. Sun Apr 10 19:29:37 2022 7 relations: 553138
  136. Sun Apr 10 19:29:37 2022 8 relations: 514953
  137. Sun Apr 10 19:29:37 2022 9 relations: 471013
  138. Sun Apr 10 19:29:37 2022 10+ relations: 2259709
  139. Sun Apr 10 19:29:37 2022 heaviest cycle: 28 relations
  140. Sun Apr 10 19:29:47 2022 RelProcTime: 4946
  141. Sun Apr 10 19:29:47 2022
  142. Sun Apr 10 19:29:47 2022 commencing linear algebra
  143. Sun Apr 10 19:29:50 2022 read 6906547 cycles
  144. Sun Apr 10 19:30:07 2022 cycles contain 21546725 unique relations
  145. Sun Apr 10 19:34:41 2022 read 21546725 relations
  146. Sun Apr 10 19:35:23 2022 using 20 quadratic characters above 1073741790
  147. Sun Apr 10 19:37:16 2022 building initial matrix
  148. Sun Apr 10 19:42:53 2022 memory use: 2689.3 MB
  149. Sun Apr 10 19:43:01 2022 read 6906547 cycles
  150. Sun Apr 10 19:43:04 2022 matrix is 6906370 x 6906547 (2907.4 MB) with weight 829837403 (120.15/col)
  151. Sun Apr 10 19:43:04 2022 sparse part has weight 686194167 (99.35/col)
  152. Sun Apr 10 19:44:59 2022 filtering completed in 2 passes
  153. Sun Apr 10 19:45:01 2022 matrix is 6906034 x 6906211 (2907.4 MB) with weight 829823998 (120.16/col)
  154. Sun Apr 10 19:45:01 2022 sparse part has weight 686188041 (99.36/col)
  155. Sun Apr 10 19:45:27 2022 matrix starts at (0, 0)
  156. Sun Apr 10 19:45:29 2022 matrix is 6906034 x 6906211 (2907.4 MB) with weight 829823998 (120.16/col)
  157. Sun Apr 10 19:45:29 2022 sparse part has weight 686188041 (99.36/col)
  158. Sun Apr 10 19:45:29 2022 saving the first 48 matrix rows for later
  159. Sun Apr 10 19:45:33 2022 matrix includes 64 packed rows
  160. Sun Apr 10 19:45:35 2022 matrix is 6905986 x 6906211 (2779.4 MB) with weight 706651768 (102.32/col)
  161. Sun Apr 10 19:45:35 2022 sparse part has weight 659538493 (95.50/col)
  162. Sun Apr 10 19:45:35 2022 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  163. Sun Apr 10 19:46:11 2022 commencing Lanczos iteration (22 threads)
  164. Sun Apr 10 19:46:11 2022 memory use: 2347.7 MB
  165. Sun Apr 10 19:46:22 2022 linear algebra at 0.0%, ETA 12h38m
  166. Sun Apr 10 19:46:26 2022 checkpointing every 520000 dimensions
  167. Mon Apr 11 09:03:24 2022 lanczos halted after 109216 iterations (dim = 6905984)
  168. Mon Apr 11 09:03:30 2022 recovered 40 nontrivial dependencies
  169. Mon Apr 11 09:03:33 2022 BLanczosTime: 48826
  170. Mon Apr 11 09:03:33 2022
  171. Mon Apr 11 09:03:33 2022 commencing square root phase
  172. Mon Apr 11 09:03:33 2022 handling dependencies 1 to 64
  173. Mon Apr 11 09:03:33 2022 reading relations for dependency 1
  174. Mon Apr 11 09:03:34 2022 read 3453516 cycles
  175. Mon Apr 11 09:03:42 2022 cycles contain 10775534 unique relations
  176. Mon Apr 11 09:05:55 2022 read 10775534 relations
  177. Mon Apr 11 09:06:56 2022 multiplying 10775534 relations
  178. Mon Apr 11 09:15:32 2022 multiply complete, coefficients have about 265.04 million bits
  179. Mon Apr 11 09:15:36 2022 initial square root is modulo 56983
  180. Mon Apr 11 09:26:00 2022 found factor: 915440257656424734017778008354616679409895879799233601581014569
  181. Mon Apr 11 09:26:00 2022 reading relations for dependency 2
  182. Mon Apr 11 09:26:03 2022 read 3452042 cycles
  183. Mon Apr 11 09:26:11 2022 cycles contain 10770696 unique relations
  184. Mon Apr 11 09:29:11 2022 read 10770696 relations
  185. Mon Apr 11 09:30:07 2022 multiplying 10770696 relations
  186. Mon Apr 11 09:38:04 2022 multiply complete, coefficients have about 264.91 million bits
  187. Mon Apr 11 09:38:08 2022 initial square root is modulo 56731
  188. Mon Apr 11 09:48:24 2022 GCD is N, no factor found
  189. Mon Apr 11 09:48:24 2022 reading relations for dependency 3
  190. Mon Apr 11 09:48:26 2022 read 3453269 cycles
  191. Mon Apr 11 09:48:33 2022 cycles contain 10773376 unique relations
  192. Mon Apr 11 09:50:46 2022 read 10773376 relations
  193. Mon Apr 11 09:51:57 2022 multiplying 10773376 relations
  194. Mon Apr 11 10:00:35 2022 multiply complete, coefficients have about 264.98 million bits
  195. Mon Apr 11 10:00:39 2022 initial square root is modulo 56857
  196. Mon Apr 11 10:10:45 2022 found factor: 915440257656424734017778008354616679409895879799233601581014569
  197. Mon Apr 11 10:10:45 2022 reading relations for dependency 4
  198. Mon Apr 11 10:10:47 2022 read 3453805 cycles
  199. Mon Apr 11 10:10:54 2022 cycles contain 10774398 unique relations
  200. Mon Apr 11 10:13:27 2022 read 10774398 relations
  201. Mon Apr 11 10:14:46 2022 multiplying 10774398 relations
  202. Mon Apr 11 10:24:20 2022 multiply complete, coefficients have about 265.01 million bits
  203. Mon Apr 11 10:24:24 2022 initial square root is modulo 56929
  204. Mon Apr 11 10:34:32 2022 sqrtTime: 5459
  205. Mon Apr 11 10:34:32 2022 prp56 factor: 36342711266178345438290511594389129510497130295132627127
  206. Mon Apr 11 10:34:32 2022 prp58 factor: 7726214492958680257977635699059242034877735187098971228511
  207. Mon Apr 11 10:34:32 2022 prp63 factor: 915440257656424734017778008354616679409895879799233601581014569
  208. Mon Apr 11 10:34:32 2022 elapsed time 16:27:13
  209.  
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