Mon Jan 7 06:57:10 2019 Mon Jan 7 06:57:10 2019 Mon Jan 7 06:57:10 2019 Msieve v. 1.53 (SVN 988M) Mon Jan 7 06:57:10 2019 random seeds: ebb12e77 ba57b583 Mon Jan 7 06:57:10 2019 factoring 11981465220575648697141401030443201320719844350765820116019933031492630071644728865050054311068690682897938233684652365462417646723326753811026860955168571958031994402500169197117450771466252609475891026984248543 (212 digits) Mon Jan 7 06:57:11 2019 searching for 15-digit factors Mon Jan 7 06:57:12 2019 commencing number field sieve (212-digit input) Mon Jan 7 06:57:12 2019 R0: 61750987972143996920609180775345482831386980494042 Mon Jan 7 06:57:12 2019 R1: -7858179685661558917710821 Mon Jan 7 06:57:12 2019 A0: 1 Mon Jan 7 06:57:12 2019 A1: 3 Mon Jan 7 06:57:12 2019 A2: -3 Mon Jan 7 06:57:12 2019 A3: -4 Mon Jan 7 06:57:12 2019 A4: 1 Mon Jan 7 06:57:12 2019 A5: 1 Mon Jan 7 06:57:12 2019 skew 1.00, size 6.436e-17, alpha 2.379, combined = 1.501e-13 rroots = 5 Mon Jan 7 06:57:12 2019 Mon Jan 7 06:57:12 2019 commencing relation filtering Mon Jan 7 06:57:12 2019 setting target matrix density to 120.0 Mon Jan 7 06:57:12 2019 estimated available RAM is 32768.0 MB Mon Jan 7 06:57:12 2019 commencing duplicate removal, pass 1 Mon Jan 7 06:57:34 2019 error -5 reading relation 2813847 [1513 more error lines] Mon Jan 7 07:47:32 2019 error -1 reading relation 450359589 Mon Jan 7 07:47:34 2019 skipped 920 relations with b > 2^32 Mon Jan 7 07:47:34 2019 skipped 823 relations with composite factors Mon Jan 7 07:47:34 2019 found 91418893 hash collisions in 450701509 relations Mon Jan 7 07:47:41 2019 added 2926300 free relations Mon Jan 7 07:47:41 2019 commencing duplicate removal, pass 2 Mon Jan 7 07:54:06 2019 found 78049722 duplicates and 375578087 unique relations Mon Jan 7 07:54:06 2019 memory use: 2387.0 MB Mon Jan 7 07:54:06 2019 reading ideals above 269942784 Mon Jan 7 07:54:06 2019 commencing singleton removal, initial pass Mon Jan 7 08:25:04 2019 memory use: 6024.0 MB Mon Jan 7 08:25:04 2019 reading all ideals from disk Mon Jan 7 08:25:08 2019 memory use: 6206.6 MB Mon Jan 7 08:25:20 2019 commencing in-memory singleton removal Mon Jan 7 08:25:31 2019 begin with 375578087 relations and 303279916 unique ideals Mon Jan 7 08:27:57 2019 reduce to 241473590 relations and 154991828 ideals in 14 passes Mon Jan 7 08:27:57 2019 max relations containing the same ideal: 41 Mon Jan 7 08:28:16 2019 reading ideals above 720000 Mon Jan 7 08:28:16 2019 commencing singleton removal, initial pass Mon Jan 7 08:56:07 2019 memory use: 5512.0 MB Mon Jan 7 08:56:07 2019 reading all ideals from disk Mon Jan 7 08:56:13 2019 memory use: 9677.8 MB Mon Jan 7 08:56:34 2019 keeping 183185187 ideals with weight <= 200, target excess is 1224062 Mon Jan 7 08:56:59 2019 commencing in-memory singleton removal Mon Jan 7 08:57:15 2019 begin with 241473590 relations and 183185187 unique ideals Mon Jan 7 08:59:07 2019 reduce to 241471228 relations and 183182825 ideals in 6 passes Mon Jan 7 08:59:07 2019 max relations containing the same ideal: 200 Mon Jan 7 09:00:37 2019 removing 12397880 relations and 10397880 ideals in 2000000 cliques Mon Jan 7 09:00:42 2019 commencing in-memory singleton removal Mon Jan 7 09:00:58 2019 begin with 229073348 relations and 183182825 unique ideals Mon Jan 7 09:03:01 2019 reduce to 228621215 relations and 172327709 ideals in 7 passes Mon Jan 7 09:03:01 2019 max relations containing the same ideal: 199 Mon Jan 7 09:04:27 2019 removing 9289682 relations and 7289682 ideals in 2000000 cliques Mon Jan 7 09:04:31 2019 commencing in-memory singleton removal Mon Jan 7 09:04:46 2019 begin with 219331533 relations and 172327709 unique ideals Mon Jan 7 09:06:44 2019 reduce to 219040309 relations and 164744099 ideals in 7 passes Mon Jan 7 09:06:44 2019 max relations containing the same ideal: 196 Mon Jan 7 09:08:06 2019 removing 8314896 relations and 6314896 ideals in 2000000 cliques Mon Jan 7 09:08:10 2019 commencing in-memory singleton removal Mon Jan 7 09:08:24 2019 begin with 210725413 relations and 164744099 unique ideals Mon Jan 7 09:10:17 2019 reduce to 210476782 relations and 158178297 ideals in 7 passes Mon Jan 7 09:10:17 2019 max relations containing the same ideal: 192 Mon Jan 7 09:11:35 2019 removing 7770367 relations and 5770367 ideals in 2000000 cliques Mon Jan 7 09:11:39 2019 commencing in-memory singleton removal Mon Jan 7 09:11:53 2019 begin with 202706415 relations and 158178297 unique ideals Mon Jan 7 09:13:41 2019 reduce to 202480052 relations and 152179447 ideals in 7 passes Mon Jan 7 09:13:41 2019 max relations containing the same ideal: 188 Mon Jan 7 09:14:58 2019 removing 7412042 relations and 5412042 ideals in 2000000 cliques Mon Jan 7 09:15:01 2019 commencing in-memory singleton removal Mon Jan 7 09:15:14 2019 begin with 195068010 relations and 152179447 unique ideals Mon Jan 7 09:16:58 2019 reduce to 194854089 relations and 146551462 ideals in 7 passes Mon Jan 7 09:16:58 2019 max relations containing the same ideal: 183 Mon Jan 7 09:18:11 2019 removing 7156818 relations and 5156818 ideals in 2000000 cliques Mon Jan 7 09:18:15 2019 commencing in-memory singleton removal Mon Jan 7 09:18:27 2019 begin with 187697271 relations and 146551462 unique ideals Mon Jan 7 09:19:53 2019 reduce to 187491282 relations and 141186676 ideals in 6 passes Mon Jan 7 09:19:53 2019 max relations containing the same ideal: 179 Mon Jan 7 09:21:04 2019 removing 6964778 relations and 4964778 ideals in 2000000 cliques Mon Jan 7 09:21:07 2019 commencing in-memory singleton removal Mon Jan 7 09:21:19 2019 begin with 180526504 relations and 141186676 unique ideals Mon Jan 7 09:22:41 2019 reduce to 180327405 relations and 136020832 ideals in 6 passes Mon Jan 7 09:22:41 2019 max relations containing the same ideal: 177 Mon Jan 7 09:23:49 2019 removing 6817580 relations and 4817580 ideals in 2000000 cliques Mon Jan 7 09:23:52 2019 commencing in-memory singleton removal Mon Jan 7 09:24:04 2019 begin with 173509825 relations and 136020832 unique ideals Mon Jan 7 09:25:22 2019 reduce to 173316129 relations and 131007504 ideals in 6 passes Mon Jan 7 09:25:22 2019 max relations containing the same ideal: 172 Mon Jan 7 09:26:29 2019 removing 6691000 relations and 4691000 ideals in 2000000 cliques Mon Jan 7 09:26:32 2019 commencing in-memory singleton removal Mon Jan 7 09:26:43 2019 begin with 166625129 relations and 131007504 unique ideals Mon Jan 7 09:27:58 2019 reduce to 166433026 relations and 126122295 ideals in 6 passes Mon Jan 7 09:27:58 2019 max relations containing the same ideal: 167 Mon Jan 7 09:29:01 2019 removing 6589014 relations and 4589014 ideals in 2000000 cliques Mon Jan 7 09:29:04 2019 commencing in-memory singleton removal Mon Jan 7 09:29:14 2019 begin with 159844012 relations and 126122295 unique ideals Mon Jan 7 09:30:38 2019 reduce to 159653222 relations and 121340263 ideals in 7 passes Mon Jan 7 09:30:38 2019 max relations containing the same ideal: 163 Mon Jan 7 09:31:39 2019 removing 6501031 relations and 4501031 ideals in 2000000 cliques Mon Jan 7 09:31:43 2019 commencing in-memory singleton removal Mon Jan 7 09:31:53 2019 begin with 153152191 relations and 121340263 unique ideals Mon Jan 7 09:33:01 2019 reduce to 152961345 relations and 116646091 ideals in 6 passes Mon Jan 7 09:33:01 2019 max relations containing the same ideal: 159 Mon Jan 7 09:34:00 2019 removing 6427350 relations and 4427350 ideals in 2000000 cliques Mon Jan 7 09:34:03 2019 commencing in-memory singleton removal Mon Jan 7 09:34:12 2019 begin with 146533995 relations and 116646091 unique ideals Mon Jan 7 09:35:29 2019 reduce to 146344354 relations and 112026755 ideals in 7 passes Mon Jan 7 09:35:29 2019 max relations containing the same ideal: 157 Mon Jan 7 09:36:24 2019 removing 6365130 relations and 4365130 ideals in 2000000 cliques Mon Jan 7 09:36:27 2019 commencing in-memory singleton removal Mon Jan 7 09:36:36 2019 begin with 139979224 relations and 112026755 unique ideals Mon Jan 7 09:37:38 2019 reduce to 139788106 relations and 107467987 ideals in 6 passes Mon Jan 7 09:37:38 2019 max relations containing the same ideal: 152 Mon Jan 7 09:38:31 2019 removing 6307455 relations and 4307455 ideals in 2000000 cliques Mon Jan 7 09:38:34 2019 commencing in-memory singleton removal Mon Jan 7 09:38:43 2019 begin with 133480651 relations and 107467987 unique ideals Mon Jan 7 09:39:42 2019 reduce to 133286458 relations and 102963613 ideals in 6 passes Mon Jan 7 09:39:42 2019 max relations containing the same ideal: 147 Mon Jan 7 09:40:33 2019 removing 6256173 relations and 4256173 ideals in 2000000 cliques Mon Jan 7 09:40:36 2019 commencing in-memory singleton removal Mon Jan 7 09:40:44 2019 begin with 127030285 relations and 102963613 unique ideals Mon Jan 7 09:41:40 2019 reduce to 126833533 relations and 98507777 ideals in 6 passes Mon Jan 7 09:41:40 2019 max relations containing the same ideal: 140 Mon Jan 7 09:42:29 2019 removing 6211485 relations and 4211485 ideals in 2000000 cliques Mon Jan 7 09:42:31 2019 commencing in-memory singleton removal Mon Jan 7 09:42:39 2019 begin with 120622048 relations and 98507777 unique ideals Mon Jan 7 09:43:32 2019 reduce to 120421850 relations and 94093030 ideals in 6 passes Mon Jan 7 09:43:32 2019 max relations containing the same ideal: 135 Mon Jan 7 09:44:18 2019 removing 6171646 relations and 4171646 ideals in 2000000 cliques Mon Jan 7 09:44:21 2019 commencing in-memory singleton removal Mon Jan 7 09:44:28 2019 begin with 114250204 relations and 94093030 unique ideals Mon Jan 7 09:45:18 2019 reduce to 114045548 relations and 89713487 ideals in 6 passes Mon Jan 7 09:45:18 2019 max relations containing the same ideal: 131 Mon Jan 7 09:46:02 2019 removing 6134892 relations and 4134892 ideals in 2000000 cliques Mon Jan 7 09:46:05 2019 commencing in-memory singleton removal Mon Jan 7 09:46:12 2019 begin with 107910656 relations and 89713487 unique ideals Mon Jan 7 09:47:06 2019 reduce to 107701596 relations and 85365985 ideals in 7 passes Mon Jan 7 09:47:06 2019 max relations containing the same ideal: 128 Mon Jan 7 09:47:47 2019 removing 6101538 relations and 4101538 ideals in 2000000 cliques Mon Jan 7 09:47:50 2019 commencing in-memory singleton removal Mon Jan 7 09:47:56 2019 begin with 101600058 relations and 85365985 unique ideals Mon Jan 7 09:48:40 2019 reduce to 101383775 relations and 81044406 ideals in 6 passes Mon Jan 7 09:48:40 2019 max relations containing the same ideal: 123 Mon Jan 7 09:49:19 2019 removing 6072087 relations and 4072087 ideals in 2000000 cliques Mon Jan 7 09:49:21 2019 commencing in-memory singleton removal Mon Jan 7 09:49:27 2019 begin with 95311688 relations and 81044406 unique ideals Mon Jan 7 09:50:08 2019 reduce to 95088059 relations and 76744504 ideals in 6 passes Mon Jan 7 09:50:08 2019 max relations containing the same ideal: 118 Mon Jan 7 09:50:45 2019 removing 6053352 relations and 4053352 ideals in 2000000 cliques Mon Jan 7 09:50:47 2019 commencing in-memory singleton removal Mon Jan 7 09:50:53 2019 begin with 89034707 relations and 76744504 unique ideals Mon Jan 7 09:51:31 2019 reduce to 88800899 relations and 72452801 ideals in 6 passes Mon Jan 7 09:51:31 2019 max relations containing the same ideal: 113 Mon Jan 7 09:52:06 2019 removing 6025555 relations and 4025555 ideals in 2000000 cliques Mon Jan 7 09:52:08 2019 commencing in-memory singleton removal Mon Jan 7 09:52:13 2019 begin with 82775344 relations and 72452801 unique ideals Mon Jan 7 09:52:48 2019 reduce to 82529653 relations and 68176423 ideals in 6 passes Mon Jan 7 09:52:48 2019 max relations containing the same ideal: 109 Mon Jan 7 09:53:20 2019 removing 6013079 relations and 4013079 ideals in 2000000 cliques Mon Jan 7 09:53:22 2019 commencing in-memory singleton removal Mon Jan 7 09:53:27 2019 begin with 76516574 relations and 68176423 unique ideals Mon Jan 7 09:53:59 2019 reduce to 76256883 relations and 63897984 ideals in 6 passes Mon Jan 7 09:53:59 2019 max relations containing the same ideal: 103 Mon Jan 7 09:54:29 2019 removing 6000802 relations and 4000802 ideals in 2000000 cliques Mon Jan 7 09:54:31 2019 commencing in-memory singleton removal Mon Jan 7 09:54:35 2019 begin with 70256081 relations and 63897984 unique ideals Mon Jan 7 09:55:05 2019 reduce to 69975607 relations and 59609918 ideals in 6 passes Mon Jan 7 09:55:05 2019 max relations containing the same ideal: 100 Mon Jan 7 09:55:31 2019 removing 6000066 relations and 4000066 ideals in 2000000 cliques Mon Jan 7 09:55:33 2019 commencing in-memory singleton removal Mon Jan 7 09:55:37 2019 begin with 63975541 relations and 59609918 unique ideals Mon Jan 7 09:56:08 2019 reduce to 63670391 relations and 55296928 ideals in 7 passes Mon Jan 7 09:56:08 2019 max relations containing the same ideal: 90 Mon Jan 7 09:56:33 2019 removing 6007313 relations and 4007313 ideals in 2000000 cliques Mon Jan 7 09:56:35 2019 commencing in-memory singleton removal Mon Jan 7 09:56:38 2019 begin with 57663078 relations and 55296928 unique ideals Mon Jan 7 09:57:02 2019 reduce to 57319834 relations and 50937053 ideals in 6 passes Mon Jan 7 09:57:02 2019 max relations containing the same ideal: 84 Mon Jan 7 09:57:25 2019 removing 6031576 relations and 4031576 ideals in 2000000 cliques Mon Jan 7 09:57:27 2019 commencing in-memory singleton removal Mon Jan 7 09:57:30 2019 begin with 51288258 relations and 50937053 unique ideals Mon Jan 7 09:58:01 2019 reduce to 50896411 relations and 46501935 ideals in 9 passes Mon Jan 7 09:58:01 2019 max relations containing the same ideal: 77 Mon Jan 7 09:58:21 2019 removing 6080111 relations and 4080111 ideals in 2000000 cliques Mon Jan 7 09:58:23 2019 commencing in-memory singleton removal Mon Jan 7 09:58:25 2019 begin with 44816300 relations and 46501935 unique ideals Mon Jan 7 09:58:49 2019 reduce to 44346151 relations and 41935898 ideals in 8 passes Mon Jan 7 09:58:49 2019 max relations containing the same ideal: 71 Mon Jan 7 09:59:06 2019 removing 3453376 relations and 2463035 ideals in 990341 cliques Mon Jan 7 09:59:08 2019 commencing in-memory singleton removal Mon Jan 7 09:59:10 2019 begin with 40892775 relations and 41935898 unique ideals Mon Jan 7 09:59:27 2019 reduce to 40699421 relations and 39275732 ideals in 6 passes Mon Jan 7 09:59:27 2019 max relations containing the same ideal: 66 Mon Jan 7 09:59:46 2019 relations with 0 large ideals: 90624 Mon Jan 7 09:59:46 2019 relations with 1 large ideals: 32572 Mon Jan 7 09:59:46 2019 relations with 2 large ideals: 387812 Mon Jan 7 09:59:46 2019 relations with 3 large ideals: 2095769 Mon Jan 7 09:59:46 2019 relations with 4 large ideals: 5998688 Mon Jan 7 09:59:46 2019 relations with 5 large ideals: 10105330 Mon Jan 7 09:59:46 2019 relations with 6 large ideals: 11672650 Mon Jan 7 09:59:46 2019 relations with 7+ large ideals: 10315976 Mon Jan 7 09:59:46 2019 commencing 2-way merge Mon Jan 7 10:00:08 2019 reduce to 27558980 relation sets and 26135291 unique ideals Mon Jan 7 10:00:08 2019 commencing full merge Mon Jan 7 10:09:48 2019 memory use: 3342.3 MB Mon Jan 7 10:09:53 2019 found 12362906 cycles, need 12269491 Mon Jan 7 10:09:54 2019 weight of 12269491 cycles is about 1472760060 (120.03/cycle) Mon Jan 7 10:09:54 2019 distribution of cycle lengths: Mon Jan 7 10:09:54 2019 1 relations: 382471 Mon Jan 7 10:09:54 2019 2 relations: 597594 Mon Jan 7 10:09:54 2019 3 relations: 756867 Mon Jan 7 10:09:54 2019 4 relations: 832179 Mon Jan 7 10:09:54 2019 5 relations: 877729 Mon Jan 7 10:09:54 2019 6 relations: 899022 Mon Jan 7 10:09:54 2019 7 relations: 900509 Mon Jan 7 10:09:54 2019 8 relations: 875525 Mon Jan 7 10:09:54 2019 9 relations: 836322 Mon Jan 7 10:09:54 2019 10+ relations: 5311273 Mon Jan 7 10:09:54 2019 heaviest cycle: 28 relations Mon Jan 7 10:09:59 2019 commencing cycle optimization Mon Jan 7 10:10:27 2019 start with 114096564 relations Mon Jan 7 10:15:37 2019 pruned 5822083 relations Mon Jan 7 10:15:37 2019 memory use: 2866.0 MB Mon Jan 7 10:15:37 2019 distribution of cycle lengths: Mon Jan 7 10:15:37 2019 1 relations: 382471 Mon Jan 7 10:15:37 2019 2 relations: 612743 Mon Jan 7 10:15:37 2019 3 relations: 790134 Mon Jan 7 10:15:37 2019 4 relations: 870252 Mon Jan 7 10:15:37 2019 5 relations: 927575 Mon Jan 7 10:15:37 2019 6 relations: 950595 Mon Jan 7 10:15:37 2019 7 relations: 956512 Mon Jan 7 10:15:37 2019 8 relations: 929705 Mon Jan 7 10:15:37 2019 9 relations: 885731 Mon Jan 7 10:15:37 2019 10+ relations: 4963773 Mon Jan 7 10:15:37 2019 heaviest cycle: 28 relations Mon Jan 7 10:16:05 2019 RelProcTime: 11933 Mon Jan 7 10:16:06 2019 Mon Jan 7 10:16:06 2019 commencing linear algebra Mon Jan 7 10:16:08 2019 read 12269491 cycles Mon Jan 7 10:16:36 2019 cycles contain 40031709 unique relations Mon Jan 7 10:23:13 2019 read 40031709 relations Mon Jan 7 10:24:40 2019 using 20 quadratic characters above 4294917295 Mon Jan 7 10:27:03 2019 building initial matrix Mon Jan 7 10:34:03 2019 memory use: 5057.1 MB Mon Jan 7 10:34:14 2019 read 12269491 cycles Mon Jan 7 10:34:15 2019 matrix is 12269314 x 12269491 (5749.7 MB) with weight 1640046686 (133.67/col) Mon Jan 7 10:34:15 2019 sparse part has weight 1372273407 (111.84/col) Mon Jan 7 10:36:29 2019 filtering completed in 2 passes Mon Jan 7 10:36:30 2019 matrix is 12269045 x 12269222 (5749.6 MB) with weight 1640037259 (133.67/col) Mon Jan 7 10:36:30 2019 sparse part has weight 1372269516 (111.85/col) Mon Jan 7 10:37:12 2019 matrix starts at (0, 0) Mon Jan 7 10:37:13 2019 matrix is 12269045 x 12269222 (5749.6 MB) with weight 1640037259 (133.67/col) Mon Jan 7 10:37:13 2019 sparse part has weight 1372269516 (111.85/col) Mon Jan 7 10:37:13 2019 saving the first 48 matrix rows for later Mon Jan 7 10:37:15 2019 matrix includes 64 packed rows Mon Jan 7 10:37:16 2019 matrix is 12268997 x 12269222 (5515.5 MB) with weight 1417474169 (115.53/col) Mon Jan 7 10:37:16 2019 sparse part has weight 1323167149 (107.84/col) Mon Jan 7 10:37:16 2019 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB Mon Jan 7 10:38:16 2019 commencing Lanczos iteration (8 threads) Mon Jan 7 10:38:16 2019 memory use: 4719.7 MB Mon Jan 7 10:38:43 2019 linear algebra at 0.0%, ETA 58h12m Mon Jan 7 10:38:52 2019 checkpointing every 210000 dimensions Wed Jan 9 20:27:42 2019 lanczos halted after 194017 iterations (dim = 12268996) Wed Jan 9 20:27:55 2019 recovered 35 nontrivial dependencies Wed Jan 9 20:27:57 2019 BLanczosTime: 209511 Wed Jan 9 20:27:57 2019 Wed Jan 9 20:27:57 2019 commencing square root phase Wed Jan 9 20:27:57 2019 handling dependencies 1 to 64 Wed Jan 9 20:27:57 2019 reading relations for dependency 1 Wed Jan 9 20:28:00 2019 read 6137755 cycles Wed Jan 9 20:28:13 2019 cycles contain 20021396 unique relations Wed Jan 9 20:33:37 2019 read 20021396 relations Wed Jan 9 20:34:58 2019 multiplying 20021396 relations Wed Jan 9 20:42:15 2019 multiply complete, coefficients have about 512.14 million bits Wed Jan 9 20:42:17 2019 initial square root is modulo 1546820477 Wed Jan 9 20:49:53 2019 sqrtTime: 1316 Wed Jan 9 20:49:53 2019 p62 factor: 37063596005687665412811077927267511346298092427988151275583819 Wed Jan 9 20:49:53 2019 p150 factor: 323267748189814337137844721792465696386837974174566788332779800824668213626323297637649948735373685424617809256811273786324663364236482837196768999997 Wed Jan 9 20:49:53 2019 elapsed time 61:52:43