Tue Sep 28 07:32:35 2021 Tue Sep 28 07:32:35 2021 Msieve v. 1.54 (SVN unknown) Tue Sep 28 07:32:35 2021 random seeds: 42c64374 8faea30e Tue Sep 28 07:32:35 2021 factoring 94861549760341066020775348276228761499096137111985670391478717943188858582549679603081590104050195896083101352478154688409683019588518946527316013535382232041 (158 digits) Tue Sep 28 07:32:36 2021 searching for 15-digit factors Tue Sep 28 07:32:36 2021 commencing number field sieve (158-digit input) Tue Sep 28 07:32:36 2021 R0: 8939778539101733037651771620430771999970530403008551 Tue Sep 28 07:32:36 2021 R1: -1 Tue Sep 28 07:32:36 2021 A0: 1 Tue Sep 28 07:32:36 2021 A1: 1 Tue Sep 28 07:32:36 2021 A2: 1 Tue Sep 28 07:32:36 2021 A3: 1 Tue Sep 28 07:32:36 2021 A4: 1 Tue Sep 28 07:32:36 2021 skew 1.00, size 3.392e-21, alpha 1.694, combined = 1.147e-12 rroots = 0 Tue Sep 28 07:32:36 2021 Tue Sep 28 07:32:36 2021 commencing relation filtering Tue Sep 28 07:32:36 2021 setting target matrix density to 120.0 Tue Sep 28 07:32:36 2021 estimated available RAM is 16384.0 MB Tue Sep 28 07:32:36 2021 commencing duplicate removal, pass 1 Tue Sep 28 07:35:49 2021 error -11 reading relation 54380640 Tue Sep 28 07:35:49 2021 error -11 reading relation 54380792 Tue Sep 28 07:35:49 2021 error -11 reading relation 54381012 Tue Sep 28 07:35:49 2021 error -11 reading relation 54381363 Tue Sep 28 07:35:49 2021 error -11 reading relation 54381524 Tue Sep 28 07:35:49 2021 error -15 reading relation 54382146 Tue Sep 28 07:35:49 2021 error -11 reading relation 54382212 Tue Sep 28 07:35:49 2021 error -11 reading relation 54382524 Tue Sep 28 07:35:49 2021 error -11 reading relation 54382598 Tue Sep 28 07:35:49 2021 error -11 reading relation 54382664 Tue Sep 28 07:35:49 2021 error -11 reading relation 54382800 Tue Sep 28 07:35:49 2021 error -1 reading relation 54382995 Tue Sep 28 07:35:49 2021 error -15 reading relation 54383397 Tue Sep 28 07:35:49 2021 error -11 reading relation 54383517 Tue Sep 28 07:35:49 2021 error -15 reading relation 54383674 Tue Sep 28 07:35:49 2021 error -11 reading relation 54383737 Tue Sep 28 07:35:49 2021 error -11 reading relation 54383800 Tue Sep 28 07:35:49 2021 error -15 reading relation 54384013 Tue Sep 28 07:35:49 2021 error -11 reading relation 54384073 Tue Sep 28 07:35:49 2021 error -11 reading relation 54384164 Tue Sep 28 07:35:49 2021 error -15 reading relation 54384511 Tue Sep 28 07:35:49 2021 error -15 reading relation 54384576 Tue Sep 28 07:35:49 2021 error -15 reading relation 54384938 Tue Sep 28 07:35:49 2021 error -9 reading relation 54385571 Tue Sep 28 07:35:49 2021 error -15 reading relation 54385636 Tue Sep 28 07:35:49 2021 error -15 reading relation 54385697 Tue Sep 28 07:35:49 2021 error -11 reading relation 54385787 Tue Sep 28 07:35:49 2021 error -9 reading relation 54385990 Tue Sep 28 07:35:49 2021 error -11 reading relation 54386023 Tue Sep 28 07:35:49 2021 error -11 reading relation 54386122 Tue Sep 28 07:35:49 2021 error -11 reading relation 54386212 Tue Sep 28 07:35:49 2021 error -11 reading relation 54386245 Tue Sep 28 07:35:49 2021 error -11 reading relation 54386308 Tue Sep 28 07:35:49 2021 error -11 reading relation 54386585 Tue Sep 28 07:35:49 2021 error -11 reading relation 54387008 Tue Sep 28 07:35:49 2021 error -11 reading relation 54387370 Tue Sep 28 07:35:49 2021 error -15 reading relation 54387429 Tue Sep 28 07:35:49 2021 error -11 reading relation 54387513 Tue Sep 28 07:35:49 2021 error -11 reading relation 54387678 Tue Sep 28 07:35:49 2021 error -11 reading relation 54387794 Tue Sep 28 07:35:49 2021 error -11 reading relation 54388070 Tue Sep 28 07:35:49 2021 error -11 reading relation 54388338 Tue Sep 28 07:35:49 2021 error -15 reading relation 54388434 Tue Sep 28 07:35:49 2021 error -15 reading relation 54388749 Tue Sep 28 07:35:49 2021 error -15 reading relation 54388782 Tue Sep 28 07:35:49 2021 error -15 reading relation 54388834 Tue Sep 28 07:35:49 2021 error -15 reading relation 54389239 Tue Sep 28 07:35:49 2021 error -1 reading relation 54389301 Tue Sep 28 07:35:49 2021 error -11 reading relation 54389395 Tue Sep 28 07:35:49 2021 error -15 reading relation 54389451 Tue Sep 28 07:35:49 2021 error -9 reading relation 54389571 Tue Sep 28 07:35:49 2021 error -1 reading relation 54390035 Tue Sep 28 07:39:35 2021 skipped 117 relations with b > 2^32 Tue Sep 28 07:39:35 2021 skipped 34 relations with composite factors Tue Sep 28 07:39:35 2021 found 5820127 hash collisions in 115519679 relations Tue Sep 28 07:39:35 2021 commencing duplicate removal, pass 2 Tue Sep 28 07:39:55 2021 found 42064 duplicates and 115477615 unique relations Tue Sep 28 07:39:55 2021 memory use: 378.4 MB Tue Sep 28 07:39:55 2021 reading ideals above 79888384 Tue Sep 28 07:39:55 2021 commencing singleton removal, initial pass Tue Sep 28 07:45:26 2021 memory use: 2756.0 MB Tue Sep 28 07:45:26 2021 reading all ideals from disk Tue Sep 28 07:45:27 2021 memory use: 2030.5 MB Tue Sep 28 07:45:29 2021 commencing in-memory singleton removal Tue Sep 28 07:45:31 2021 begin with 115477615 relations and 83665519 unique ideals Tue Sep 28 07:45:47 2021 reduce to 87676063 relations and 53784561 ideals in 10 passes Tue Sep 28 07:45:47 2021 max relations containing the same ideal: 59 Tue Sep 28 07:45:51 2021 reading ideals above 720000 Tue Sep 28 07:45:51 2021 commencing singleton removal, initial pass Tue Sep 28 07:50:58 2021 memory use: 1506.0 MB Tue Sep 28 07:50:58 2021 reading all ideals from disk Tue Sep 28 07:50:59 2021 memory use: 3249.5 MB Tue Sep 28 07:51:03 2021 keeping 62668779 ideals with weight <= 200, target excess is 442119 Tue Sep 28 07:51:06 2021 commencing in-memory singleton removal Tue Sep 28 07:51:09 2021 begin with 87676063 relations and 62668779 unique ideals Tue Sep 28 07:51:24 2021 reduce to 87675093 relations and 62667808 ideals in 5 passes Tue Sep 28 07:51:24 2021 max relations containing the same ideal: 200 Tue Sep 28 07:51:39 2021 removing 7263965 relations and 5263965 ideals in 2000000 cliques Tue Sep 28 07:51:41 2021 commencing in-memory singleton removal Tue Sep 28 07:51:43 2021 begin with 80411128 relations and 62667808 unique ideals Tue Sep 28 07:52:01 2021 reduce to 79891319 relations and 56869018 ideals in 7 passes Tue Sep 28 07:52:01 2021 max relations containing the same ideal: 195 Tue Sep 28 07:52:15 2021 removing 5904016 relations and 3904016 ideals in 2000000 cliques Tue Sep 28 07:52:17 2021 commencing in-memory singleton removal Tue Sep 28 07:52:19 2021 begin with 73987303 relations and 56869018 unique ideals Tue Sep 28 07:52:33 2021 reduce to 73636174 relations and 52604727 ideals in 6 passes Tue Sep 28 07:52:33 2021 max relations containing the same ideal: 189 Tue Sep 28 07:52:46 2021 removing 5548052 relations and 3548052 ideals in 2000000 cliques Tue Sep 28 07:52:48 2021 commencing in-memory singleton removal Tue Sep 28 07:52:50 2021 begin with 68088122 relations and 52604727 unique ideals Tue Sep 28 07:53:05 2021 reduce to 67781129 relations and 48741572 ideals in 7 passes Tue Sep 28 07:53:05 2021 max relations containing the same ideal: 181 Tue Sep 28 07:53:17 2021 removing 5362018 relations and 3362018 ideals in 2000000 cliques Tue Sep 28 07:53:19 2021 commencing in-memory singleton removal Tue Sep 28 07:53:21 2021 begin with 62419111 relations and 48741572 unique ideals Tue Sep 28 07:53:33 2021 reduce to 62126344 relations and 45078781 ideals in 6 passes Tue Sep 28 07:53:33 2021 max relations containing the same ideal: 170 Tue Sep 28 07:53:44 2021 removing 5249191 relations and 3249191 ideals in 2000000 cliques Tue Sep 28 07:53:45 2021 commencing in-memory singleton removal Tue Sep 28 07:53:47 2021 begin with 56877153 relations and 45078781 unique ideals Tue Sep 28 07:53:58 2021 reduce to 56585299 relations and 41529313 ideals in 6 passes Tue Sep 28 07:53:58 2021 max relations containing the same ideal: 162 Tue Sep 28 07:54:08 2021 removing 5177425 relations and 3177425 ideals in 2000000 cliques Tue Sep 28 07:54:09 2021 commencing in-memory singleton removal Tue Sep 28 07:54:11 2021 begin with 51407874 relations and 41529313 unique ideals Tue Sep 28 07:54:20 2021 reduce to 51105058 relations and 38039717 ideals in 6 passes Tue Sep 28 07:54:20 2021 max relations containing the same ideal: 150 Tue Sep 28 07:54:30 2021 removing 5134684 relations and 3134684 ideals in 2000000 cliques Tue Sep 28 07:54:31 2021 commencing in-memory singleton removal Tue Sep 28 07:54:33 2021 begin with 45970374 relations and 38039717 unique ideals Tue Sep 28 07:54:41 2021 reduce to 45648552 relations and 34572074 ideals in 6 passes Tue Sep 28 07:54:41 2021 max relations containing the same ideal: 140 Tue Sep 28 07:54:50 2021 removing 5116944 relations and 3116944 ideals in 2000000 cliques Tue Sep 28 07:54:51 2021 commencing in-memory singleton removal Tue Sep 28 07:54:52 2021 begin with 40531608 relations and 34572074 unique ideals Tue Sep 28 07:55:01 2021 reduce to 40176047 relations and 31086561 ideals in 7 passes Tue Sep 28 07:55:01 2021 max relations containing the same ideal: 129 Tue Sep 28 07:55:08 2021 removing 5121430 relations and 3121430 ideals in 2000000 cliques Tue Sep 28 07:55:09 2021 commencing in-memory singleton removal Tue Sep 28 07:55:11 2021 begin with 35054617 relations and 31086561 unique ideals Tue Sep 28 07:55:18 2021 reduce to 34650954 relations and 27544665 ideals in 7 passes Tue Sep 28 07:55:18 2021 max relations containing the same ideal: 113 Tue Sep 28 07:55:25 2021 removing 5149822 relations and 3149822 ideals in 2000000 cliques Tue Sep 28 07:55:26 2021 commencing in-memory singleton removal Tue Sep 28 07:55:27 2021 begin with 29501132 relations and 27544665 unique ideals Tue Sep 28 07:55:33 2021 reduce to 29028977 relations and 23900064 ideals in 7 passes Tue Sep 28 07:55:33 2021 max relations containing the same ideal: 101 Tue Sep 28 07:55:39 2021 removing 5197523 relations and 3197523 ideals in 2000000 cliques Tue Sep 28 07:55:40 2021 commencing in-memory singleton removal Tue Sep 28 07:55:40 2021 begin with 23831454 relations and 23900064 unique ideals Tue Sep 28 07:55:45 2021 reduce to 23255759 relations and 20093532 ideals in 7 passes Tue Sep 28 07:55:45 2021 max relations containing the same ideal: 89 Tue Sep 28 07:55:50 2021 removing 5264266 relations and 3264266 ideals in 2000000 cliques Tue Sep 28 07:55:51 2021 commencing in-memory singleton removal Tue Sep 28 07:55:52 2021 begin with 17991493 relations and 20093532 unique ideals Tue Sep 28 07:55:56 2021 reduce to 17252150 relations and 16036015 ideals in 9 passes Tue Sep 28 07:55:56 2021 max relations containing the same ideal: 72 Tue Sep 28 07:56:00 2021 removing 2273376 relations and 1570100 ideals in 703276 cliques Tue Sep 28 07:56:00 2021 commencing in-memory singleton removal Tue Sep 28 07:56:01 2021 begin with 14978774 relations and 16036015 unique ideals Tue Sep 28 07:56:04 2021 reduce to 14711772 relations and 14188222 ideals in 7 passes Tue Sep 28 07:56:04 2021 max relations containing the same ideal: 65 Tue Sep 28 07:56:07 2021 removing 67639 relations and 56948 ideals in 10691 cliques Tue Sep 28 07:56:07 2021 commencing in-memory singleton removal Tue Sep 28 07:56:08 2021 begin with 14644133 relations and 14188222 unique ideals Tue Sep 28 07:56:10 2021 reduce to 14643931 relations and 14131071 ideals in 5 passes Tue Sep 28 07:56:10 2021 max relations containing the same ideal: 64 Tue Sep 28 07:56:11 2021 relations with 0 large ideals: 35862 Tue Sep 28 07:56:11 2021 relations with 1 large ideals: 7649 Tue Sep 28 07:56:11 2021 relations with 2 large ideals: 91326 Tue Sep 28 07:56:11 2021 relations with 3 large ideals: 551117 Tue Sep 28 07:56:11 2021 relations with 4 large ideals: 1807701 Tue Sep 28 07:56:11 2021 relations with 5 large ideals: 3917333 Tue Sep 28 07:56:11 2021 relations with 6 large ideals: 3870695 Tue Sep 28 07:56:11 2021 relations with 7+ large ideals: 4362248 Tue Sep 28 07:56:11 2021 commencing 2-way merge Tue Sep 28 07:56:15 2021 reduce to 10019688 relation sets and 9506828 unique ideals Tue Sep 28 07:56:15 2021 commencing full merge Tue Sep 28 07:59:44 2021 memory use: 443.5 MB Tue Sep 28 07:59:44 2021 found 47043 cycles, need 2229319 Tue Sep 28 07:59:44 2021 too few cycles, matrix probably cannot build Tue Sep 28 07:59:44 2021 filtering wants 1000000 more relations Tue Sep 28 07:59:44 2021 elapsed time 00:27:09 Tue Sep 28 08:00:02 2021 Tue Sep 28 08:00:02 2021 Tue Sep 28 08:00:02 2021 Msieve v. 1.54 (SVN unknown) Tue Sep 28 08:00:02 2021 random seeds: d7371f1d 9c3e2635 Tue Sep 28 08:00:02 2021 factoring 94861549760341066020775348276228761499096137111985670391478717943188858582549679603081590104050195896083101352478154688409683019588518946527316013535382232041 (158 digits) Tue Sep 28 08:00:02 2021 searching for 15-digit factors Tue Sep 28 08:00:02 2021 commencing number field sieve (158-digit input) Tue Sep 28 08:00:02 2021 R0: 8939778539101733037651771620430771999970530403008551 Tue Sep 28 08:00:02 2021 R1: -1 Tue Sep 28 08:00:02 2021 A0: 1 Tue Sep 28 08:00:02 2021 A1: 1 Tue Sep 28 08:00:02 2021 A2: 1 Tue Sep 28 08:00:02 2021 A3: 1 Tue Sep 28 08:00:02 2021 A4: 1 Tue Sep 28 08:00:02 2021 skew 1.00, size 3.392e-21, alpha 1.694, combined = 1.147e-12 rroots = 0 Tue Sep 28 08:00:02 2021 Tue Sep 28 08:00:02 2021 commencing relation filtering Tue Sep 28 08:00:02 2021 setting target matrix density to 116.0 Tue Sep 28 08:00:02 2021 estimated available RAM is 16384.0 MB Tue Sep 28 08:00:02 2021 commencing duplicate removal, pass 1 Tue Sep 28 08:03:15 2021 error -11 reading relation 54380640 Tue Sep 28 08:03:15 2021 error -11 reading relation 54380792 Tue Sep 28 08:03:15 2021 error -11 reading relation 54381012 Tue Sep 28 08:03:15 2021 error -11 reading relation 54381363 Tue Sep 28 08:03:15 2021 error -11 reading relation 54381524 Tue Sep 28 08:03:15 2021 error -15 reading relation 54382146 Tue Sep 28 08:03:15 2021 error -11 reading relation 54382212 Tue Sep 28 08:03:15 2021 error -11 reading relation 54382524 Tue Sep 28 08:03:15 2021 error -11 reading relation 54382598 Tue Sep 28 08:03:15 2021 error -11 reading relation 54382664 Tue Sep 28 08:03:15 2021 error -11 reading relation 54382800 Tue Sep 28 08:03:15 2021 error -1 reading relation 54382995 Tue Sep 28 08:03:15 2021 error -15 reading relation 54383397 Tue Sep 28 08:03:15 2021 error -11 reading relation 54383517 Tue Sep 28 08:03:15 2021 error -15 reading relation 54383674 Tue Sep 28 08:03:15 2021 error -11 reading relation 54383737 Tue Sep 28 08:03:15 2021 error -11 reading relation 54383800 Tue Sep 28 08:03:15 2021 error -15 reading relation 54384013 Tue Sep 28 08:03:15 2021 error -11 reading relation 54384073 Tue Sep 28 08:03:15 2021 error -11 reading relation 54384164 Tue Sep 28 08:03:15 2021 error -15 reading relation 54384511 Tue Sep 28 08:03:15 2021 error -15 reading relation 54384576 Tue Sep 28 08:03:15 2021 error -15 reading relation 54384938 Tue Sep 28 08:03:15 2021 error -9 reading relation 54385571 Tue Sep 28 08:03:15 2021 error -15 reading relation 54385636 Tue Sep 28 08:03:15 2021 error -15 reading relation 54385697 Tue Sep 28 08:03:15 2021 error -11 reading relation 54385787 Tue Sep 28 08:03:15 2021 error -9 reading relation 54385990 Tue Sep 28 08:03:15 2021 error -11 reading relation 54386023 Tue Sep 28 08:03:15 2021 error -11 reading relation 54386122 Tue Sep 28 08:03:15 2021 error -11 reading relation 54386212 Tue Sep 28 08:03:15 2021 error -11 reading relation 54386245 Tue Sep 28 08:03:15 2021 error -11 reading relation 54386308 Tue Sep 28 08:03:15 2021 error -11 reading relation 54386585 Tue Sep 28 08:03:15 2021 error -11 reading relation 54387008 Tue Sep 28 08:03:15 2021 error -11 reading relation 54387370 Tue Sep 28 08:03:15 2021 error -15 reading relation 54387429 Tue Sep 28 08:03:15 2021 error -11 reading relation 54387513 Tue Sep 28 08:03:15 2021 error -11 reading relation 54387678 Tue Sep 28 08:03:15 2021 error -11 reading relation 54387794 Tue Sep 28 08:03:15 2021 error -11 reading relation 54388070 Tue Sep 28 08:03:15 2021 error -11 reading relation 54388338 Tue Sep 28 08:03:15 2021 error -15 reading relation 54388434 Tue Sep 28 08:03:15 2021 error -15 reading relation 54388749 Tue Sep 28 08:03:15 2021 error -15 reading relation 54388782 Tue Sep 28 08:03:15 2021 error -15 reading relation 54388834 Tue Sep 28 08:03:15 2021 error -15 reading relation 54389239 Tue Sep 28 08:03:15 2021 error -1 reading relation 54389301 Tue Sep 28 08:03:15 2021 error -11 reading relation 54389395 Tue Sep 28 08:03:15 2021 error -15 reading relation 54389451 Tue Sep 28 08:03:15 2021 error -9 reading relation 54389571 Tue Sep 28 08:03:15 2021 error -1 reading relation 54390035 Tue Sep 28 08:07:02 2021 skipped 117 relations with b > 2^32 Tue Sep 28 08:07:02 2021 skipped 34 relations with composite factors Tue Sep 28 08:07:02 2021 found 5820127 hash collisions in 115519679 relations Tue Sep 28 08:07:02 2021 commencing duplicate removal, pass 2 Tue Sep 28 08:07:22 2021 found 42064 duplicates and 115477615 unique relations Tue Sep 28 08:07:22 2021 memory use: 378.4 MB Tue Sep 28 08:07:22 2021 reading ideals above 79888384 Tue Sep 28 08:07:22 2021 commencing singleton removal, initial pass Tue Sep 28 08:12:54 2021 memory use: 2756.0 MB Tue Sep 28 08:12:54 2021 reading all ideals from disk Tue Sep 28 08:12:54 2021 memory use: 2030.5 MB Tue Sep 28 08:12:56 2021 commencing in-memory singleton removal Tue Sep 28 08:12:58 2021 begin with 115477615 relations and 83665519 unique ideals Tue Sep 28 08:13:15 2021 reduce to 87676063 relations and 53784561 ideals in 10 passes Tue Sep 28 08:13:15 2021 max relations containing the same ideal: 59 Tue Sep 28 08:13:18 2021 reading ideals above 720000 Tue Sep 28 08:13:18 2021 commencing singleton removal, initial pass Tue Sep 28 08:18:25 2021 memory use: 1506.0 MB Tue Sep 28 08:18:25 2021 reading all ideals from disk Tue Sep 28 08:18:26 2021 memory use: 3249.5 MB Tue Sep 28 08:18:30 2021 keeping 62668779 ideals with weight <= 200, target excess is 442119 Tue Sep 28 08:18:34 2021 commencing in-memory singleton removal Tue Sep 28 08:18:37 2021 begin with 87676063 relations and 62668779 unique ideals Tue Sep 28 08:18:51 2021 reduce to 87675093 relations and 62667808 ideals in 5 passes Tue Sep 28 08:18:51 2021 max relations containing the same ideal: 200 Tue Sep 28 08:19:06 2021 removing 7263965 relations and 5263965 ideals in 2000000 cliques Tue Sep 28 08:19:08 2021 commencing in-memory singleton removal Tue Sep 28 08:19:11 2021 begin with 80411128 relations and 62667808 unique ideals Tue Sep 28 08:19:29 2021 reduce to 79891319 relations and 56869018 ideals in 7 passes Tue Sep 28 08:19:29 2021 max relations containing the same ideal: 195 Tue Sep 28 08:19:43 2021 removing 5904016 relations and 3904016 ideals in 2000000 cliques Tue Sep 28 08:19:44 2021 commencing in-memory singleton removal Tue Sep 28 08:19:47 2021 begin with 73987303 relations and 56869018 unique ideals Tue Sep 28 08:20:01 2021 reduce to 73636174 relations and 52604727 ideals in 6 passes Tue Sep 28 08:20:01 2021 max relations containing the same ideal: 189 Tue Sep 28 08:20:14 2021 removing 5548052 relations and 3548052 ideals in 2000000 cliques Tue Sep 28 08:20:15 2021 commencing in-memory singleton removal Tue Sep 28 08:20:18 2021 begin with 68088122 relations and 52604727 unique ideals Tue Sep 28 08:20:33 2021 reduce to 67781129 relations and 48741572 ideals in 7 passes Tue Sep 28 08:20:33 2021 max relations containing the same ideal: 181 Tue Sep 28 08:20:45 2021 removing 5362018 relations and 3362018 ideals in 2000000 cliques Tue Sep 28 08:20:46 2021 commencing in-memory singleton removal Tue Sep 28 08:20:48 2021 begin with 62419111 relations and 48741572 unique ideals Tue Sep 28 08:21:00 2021 reduce to 62126344 relations and 45078781 ideals in 6 passes Tue Sep 28 08:21:00 2021 max relations containing the same ideal: 170 Tue Sep 28 08:21:11 2021 removing 5249191 relations and 3249191 ideals in 2000000 cliques Tue Sep 28 08:21:13 2021 commencing in-memory singleton removal Tue Sep 28 08:21:14 2021 begin with 56877153 relations and 45078781 unique ideals Tue Sep 28 08:21:25 2021 reduce to 56585299 relations and 41529313 ideals in 6 passes Tue Sep 28 08:21:25 2021 max relations containing the same ideal: 162 Tue Sep 28 08:21:35 2021 removing 5177425 relations and 3177425 ideals in 2000000 cliques Tue Sep 28 08:21:37 2021 commencing in-memory singleton removal Tue Sep 28 08:21:38 2021 begin with 51407874 relations and 41529313 unique ideals Tue Sep 28 08:21:48 2021 reduce to 51105058 relations and 38039717 ideals in 6 passes Tue Sep 28 08:21:48 2021 max relations containing the same ideal: 150 Tue Sep 28 08:21:57 2021 removing 5134684 relations and 3134684 ideals in 2000000 cliques Tue Sep 28 08:21:59 2021 commencing in-memory singleton removal Tue Sep 28 08:22:00 2021 begin with 45970374 relations and 38039717 unique ideals Tue Sep 28 08:22:09 2021 reduce to 45648552 relations and 34572074 ideals in 6 passes Tue Sep 28 08:22:09 2021 max relations containing the same ideal: 140 Tue Sep 28 08:22:17 2021 removing 5116944 relations and 3116944 ideals in 2000000 cliques Tue Sep 28 08:22:18 2021 commencing in-memory singleton removal Tue Sep 28 08:22:20 2021 begin with 40531608 relations and 34572074 unique ideals Tue Sep 28 08:22:28 2021 reduce to 40176047 relations and 31086561 ideals in 7 passes Tue Sep 28 08:22:28 2021 max relations containing the same ideal: 129 Tue Sep 28 08:22:36 2021 removing 5121430 relations and 3121430 ideals in 2000000 cliques Tue Sep 28 08:22:37 2021 commencing in-memory singleton removal Tue Sep 28 08:22:38 2021 begin with 35054617 relations and 31086561 unique ideals Tue Sep 28 08:22:46 2021 reduce to 34650954 relations and 27544665 ideals in 7 passes Tue Sep 28 08:22:46 2021 max relations containing the same ideal: 113 Tue Sep 28 08:22:52 2021 removing 5149822 relations and 3149822 ideals in 2000000 cliques Tue Sep 28 08:22:53 2021 commencing in-memory singleton removal Tue Sep 28 08:22:54 2021 begin with 29501132 relations and 27544665 unique ideals Tue Sep 28 08:23:01 2021 reduce to 29028977 relations and 23900064 ideals in 7 passes Tue Sep 28 08:23:01 2021 max relations containing the same ideal: 101 Tue Sep 28 08:23:06 2021 removing 5197523 relations and 3197523 ideals in 2000000 cliques Tue Sep 28 08:23:07 2021 commencing in-memory singleton removal Tue Sep 28 08:23:08 2021 begin with 23831454 relations and 23900064 unique ideals Tue Sep 28 08:23:13 2021 reduce to 23255759 relations and 20093532 ideals in 7 passes Tue Sep 28 08:23:13 2021 max relations containing the same ideal: 89 Tue Sep 28 08:23:18 2021 removing 5264266 relations and 3264266 ideals in 2000000 cliques Tue Sep 28 08:23:19 2021 commencing in-memory singleton removal Tue Sep 28 08:23:19 2021 begin with 17991493 relations and 20093532 unique ideals Tue Sep 28 08:23:24 2021 reduce to 17252150 relations and 16036015 ideals in 9 passes Tue Sep 28 08:23:24 2021 max relations containing the same ideal: 72 Tue Sep 28 08:23:27 2021 removing 2273376 relations and 1570100 ideals in 703276 cliques Tue Sep 28 08:23:28 2021 commencing in-memory singleton removal Tue Sep 28 08:23:28 2021 begin with 14978774 relations and 16036015 unique ideals Tue Sep 28 08:23:31 2021 reduce to 14711772 relations and 14188222 ideals in 7 passes Tue Sep 28 08:23:31 2021 max relations containing the same ideal: 65 Tue Sep 28 08:23:34 2021 removing 67639 relations and 56948 ideals in 10691 cliques Tue Sep 28 08:23:35 2021 commencing in-memory singleton removal Tue Sep 28 08:23:35 2021 begin with 14644133 relations and 14188222 unique ideals Tue Sep 28 08:23:37 2021 reduce to 14643931 relations and 14131071 ideals in 5 passes Tue Sep 28 08:23:37 2021 max relations containing the same ideal: 64 Tue Sep 28 08:23:38 2021 relations with 0 large ideals: 35862 Tue Sep 28 08:23:38 2021 relations with 1 large ideals: 7649 Tue Sep 28 08:23:38 2021 relations with 2 large ideals: 91326 Tue Sep 28 08:23:38 2021 relations with 3 large ideals: 551117 Tue Sep 28 08:23:38 2021 relations with 4 large ideals: 1807701 Tue Sep 28 08:23:38 2021 relations with 5 large ideals: 3917333 Tue Sep 28 08:23:38 2021 relations with 6 large ideals: 3870695 Tue Sep 28 08:23:38 2021 relations with 7+ large ideals: 4362248 Tue Sep 28 08:23:38 2021 commencing 2-way merge Tue Sep 28 08:23:42 2021 reduce to 10019688 relation sets and 9506828 unique ideals Tue Sep 28 08:23:42 2021 commencing full merge Tue Sep 28 08:25:48 2021 memory use: 1201.4 MB Tue Sep 28 08:25:49 2021 found 4464473 cycles, need 4453028 Tue Sep 28 08:25:50 2021 weight of 4453028 cycles is about 516619637 (116.02/cycle) Tue Sep 28 08:25:50 2021 distribution of cycle lengths: Tue Sep 28 08:25:50 2021 1 relations: 138064 Tue Sep 28 08:25:50 2021 2 relations: 212278 Tue Sep 28 08:25:50 2021 3 relations: 270972 Tue Sep 28 08:25:50 2021 4 relations: 299291 Tue Sep 28 08:25:50 2021 5 relations: 316060 Tue Sep 28 08:25:50 2021 6 relations: 323258 Tue Sep 28 08:25:50 2021 7 relations: 322088 Tue Sep 28 08:25:50 2021 8 relations: 311499 Tue Sep 28 08:25:50 2021 9 relations: 294997 Tue Sep 28 08:25:50 2021 10+ relations: 1964521 Tue Sep 28 08:25:50 2021 heaviest cycle: 28 relations Tue Sep 28 08:25:50 2021 commencing cycle optimization Tue Sep 28 08:25:56 2021 start with 42501583 relations Tue Sep 28 08:27:01 2021 pruned 2333869 relations Tue Sep 28 08:27:01 2021 memory use: 1045.2 MB Tue Sep 28 08:27:01 2021 distribution of cycle lengths: Tue Sep 28 08:27:01 2021 1 relations: 138064 Tue Sep 28 08:27:01 2021 2 relations: 217742 Tue Sep 28 08:27:01 2021 3 relations: 283355 Tue Sep 28 08:27:01 2021 4 relations: 314227 Tue Sep 28 08:27:01 2021 5 relations: 335793 Tue Sep 28 08:27:01 2021 6 relations: 343382 Tue Sep 28 08:27:01 2021 7 relations: 344028 Tue Sep 28 08:27:01 2021 8 relations: 331578 Tue Sep 28 08:27:01 2021 9 relations: 313087 Tue Sep 28 08:27:01 2021 10+ relations: 1831772 Tue Sep 28 08:27:01 2021 heaviest cycle: 28 relations Tue Sep 28 08:27:06 2021 RelProcTime: 1624 Tue Sep 28 08:27:06 2021 Tue Sep 28 08:27:06 2021 commencing linear algebra Tue Sep 28 08:27:06 2021 read 4453028 cycles Tue Sep 28 08:27:10 2021 cycles contain 14394622 unique relations Tue Sep 28 08:27:47 2021 read 14394622 relations Tue Sep 28 08:28:05 2021 using 20 quadratic characters above 4294917295 Tue Sep 28 08:28:38 2021 building initial matrix Tue Sep 28 08:30:05 2021 memory use: 1785.8 MB Tue Sep 28 08:30:08 2021 read 4453028 cycles Tue Sep 28 08:30:08 2021 matrix is 4452851 x 4453028 (2016.6 MB) with weight 579195785 (130.07/col) Tue Sep 28 08:30:08 2021 sparse part has weight 479662570 (107.72/col) Tue Sep 28 08:30:33 2021 filtering completed in 2 passes Tue Sep 28 08:30:34 2021 matrix is 4452794 x 4452971 (2016.6 MB) with weight 579193883 (130.07/col) Tue Sep 28 08:30:34 2021 sparse part has weight 479661980 (107.72/col) Tue Sep 28 08:30:40 2021 matrix starts at (0, 0) Tue Sep 28 08:30:41 2021 matrix is 4452794 x 4452971 (2016.6 MB) with weight 579193883 (130.07/col) Tue Sep 28 08:30:41 2021 sparse part has weight 479661980 (107.72/col) Tue Sep 28 08:30:41 2021 saving the first 48 matrix rows for later Tue Sep 28 08:30:41 2021 matrix includes 64 packed rows Tue Sep 28 08:30:41 2021 matrix is 4452746 x 4452971 (1926.6 MB) with weight 496078234 (111.40/col) Tue Sep 28 08:30:41 2021 sparse part has weight 460520181 (103.42/col) Tue Sep 28 08:30:41 2021 using block size 8192 and superblock size 777216 for processor cache size 8096 kB Tue Sep 28 08:30:53 2021 commencing Lanczos iteration (8 threads) Tue Sep 28 08:30:53 2021 memory use: 1828.3 MB Tue Sep 28 08:30:59 2021 linear algebra at 0.0%, ETA 4h 3m Tue Sep 28 08:31:01 2021 checkpointing every 1050000 dimensions Tue Sep 28 14:14:11 2021 lanczos halted after 70415 iterations (dim = 4452744) Tue Sep 28 14:14:14 2021 recovered 38 nontrivial dependencies Tue Sep 28 14:14:14 2021 BLanczosTime: 20828 Tue Sep 28 14:14:14 2021 Tue Sep 28 14:14:14 2021 commencing square root phase Tue Sep 28 14:14:14 2021 handling dependencies 1 to 64 Tue Sep 28 14:14:14 2021 reading relations for dependency 1 Tue Sep 28 14:14:15 2021 read 2225597 cycles Tue Sep 28 14:14:17 2021 cycles contain 7196570 unique relations Tue Sep 28 14:14:37 2021 read 7196570 relations Tue Sep 28 14:14:52 2021 multiplying 7196570 relations Tue Sep 28 14:16:01 2021 multiply complete, coefficients have about 179.73 million bits Tue Sep 28 14:16:01 2021 initial square root is modulo 2818967 Tue Sep 28 14:17:26 2021 GCD is 1, no factor found Tue Sep 28 14:17:26 2021 reading relations for dependency 2 Tue Sep 28 14:17:26 2021 read 2226721 cycles Tue Sep 28 14:17:28 2021 cycles contain 7196640 unique relations Tue Sep 28 14:17:49 2021 read 7196640 relations Tue Sep 28 14:18:04 2021 multiplying 7196640 relations Tue Sep 28 14:19:13 2021 multiply complete, coefficients have about 179.73 million bits Tue Sep 28 14:19:13 2021 initial square root is modulo 2819987 Tue Sep 28 14:20:37 2021 GCD is N, no factor found Tue Sep 28 14:20:37 2021 reading relations for dependency 3 Tue Sep 28 14:20:38 2021 read 2227725 cycles Tue Sep 28 14:20:40 2021 cycles contain 7197454 unique relations Tue Sep 28 14:21:00 2021 read 7197454 relations Tue Sep 28 14:21:15 2021 multiplying 7197454 relations Tue Sep 28 14:22:25 2021 multiply complete, coefficients have about 179.76 million bits Tue Sep 28 14:22:25 2021 initial square root is modulo 2825227 Tue Sep 28 14:23:49 2021 sqrtTime: 575 Tue Sep 28 14:23:49 2021 p67 factor: 2448189581036332271493918440591151738589743000104431577276818776481 Tue Sep 28 14:23:49 2021 p92 factor: 38747632330085174283409452241275073831363092386584333963133580625930768642018416292886930761 Tue Sep 28 14:23:49 2021 elapsed time 06:23:47