Sat Mar 5 23:45:24 2022 Sat Mar 5 23:45:24 2022 Sat Mar 5 23:45:24 2022 Msieve v. 1.54 (SVN 1040M) Sat Mar 5 23:45:24 2022 random seeds: bc8e2535 8d0dbdf2 Sat Mar 5 23:45:24 2022 factoring 2310816615722295220102080492733672721044671266503875020367079565629321086052362111756241373856189001254335375320616767252680978637534275034582109949232818866084049085241722868443040919247517841049773630491277395570712917106937 (226 digits) Sat Mar 5 23:45:25 2022 searching for 15-digit factors Sat Mar 5 23:45:25 2022 commencing number field sieve (226-digit input) Sat Mar 5 23:45:25 2022 R0: -100433627766186892221372630771322662657637687111424552206336 Sat Mar 5 23:45:25 2022 R1: 10301051460877537453973547267843 Sat Mar 5 23:45:25 2022 A0: 9 Sat Mar 5 23:45:25 2022 A1: -18 Sat Mar 5 23:45:25 2022 A2: 18 Sat Mar 5 23:45:25 2022 A3: -12 Sat Mar 5 23:45:25 2022 A4: 4 Sat Mar 5 23:45:25 2022 skew 1.22, size 3.361e-24, alpha 1.559, combined = 2.138e-14 rroots = 0 Sat Mar 5 23:45:25 2022 Sat Mar 5 23:45:25 2022 commencing relation filtering Sat Mar 5 23:45:25 2022 setting target matrix density to 120.0 Sat Mar 5 23:45:25 2022 estimated available RAM is 32768.0 MB Sat Mar 5 23:45:25 2022 commencing duplicate removal, pass 1 Sat Mar 5 23:49:10 2022 error -15 reading relation 33986223 Sat Mar 5 23:49:17 2022 error -5 reading relation 35037149 Sat Mar 5 23:57:03 2022 error -15 reading relation 108262300 Sun Mar 6 00:00:35 2022 error -15 reading relation 141814879 Sun Mar 6 00:03:56 2022 error -15 reading relation 175005890 Sun Mar 6 00:04:46 2022 error -1 reading relation 183374642 Sun Mar 6 00:20:47 2022 error -11 reading relation 343582629 Sun Mar 6 00:22:34 2022 skipped 9563 relations with b > 2^32 Sun Mar 6 00:22:34 2022 skipped 2 relations with composite factors Sun Mar 6 00:22:34 2022 found 27281228 hash collisions in 361293323 relations Sun Mar 6 00:22:39 2022 added 3657369 free relations Sun Mar 6 00:22:39 2022 commencing duplicate removal, pass 2 Sun Mar 6 00:38:31 2022 found 3 duplicates and 364950689 unique relations Sun Mar 6 00:38:31 2022 memory use: 1321.5 MB Sun Mar 6 00:38:31 2022 reading ideals above 244908032 Sun Mar 6 00:38:31 2022 commencing singleton removal, initial pass Sun Mar 6 01:04:49 2022 memory use: 6024.0 MB Sun Mar 6 01:04:50 2022 reading all ideals from disk Sun Mar 6 01:07:30 2022 memory use: 6695.1 MB Sun Mar 6 01:07:44 2022 commencing in-memory singleton removal Sun Mar 6 01:07:58 2022 begin with 364950689 relations and 307194585 unique ideals Sun Mar 6 01:10:14 2022 reduce to 238730699 relations and 168154035 ideals in 15 passes Sun Mar 6 01:10:14 2022 max relations containing the same ideal: 56 Sun Mar 6 01:10:43 2022 reading ideals above 720000 Sun Mar 6 01:10:44 2022 commencing singleton removal, initial pass Sun Mar 6 01:34:23 2022 memory use: 5512.0 MB Sun Mar 6 01:34:24 2022 reading all ideals from disk Sun Mar 6 01:38:23 2022 memory use: 9981.0 MB Sun Mar 6 01:38:46 2022 keeping 193754049 ideals with weight <= 200, target excess is 1229850 Sun Mar 6 01:39:09 2022 commencing in-memory singleton removal Sun Mar 6 01:39:27 2022 begin with 238730699 relations and 193754049 unique ideals Sun Mar 6 01:40:47 2022 reduce to 238729027 relations and 193752376 ideals in 5 passes Sun Mar 6 01:40:47 2022 max relations containing the same ideal: 200 Sun Mar 6 01:42:20 2022 removing 12973058 relations and 10973058 ideals in 2000000 cliques Sun Mar 6 01:42:26 2022 commencing in-memory singleton removal Sun Mar 6 01:42:42 2022 begin with 225755969 relations and 193752376 unique ideals Sun Mar 6 01:44:30 2022 reduce to 225199062 relations and 182215866 ideals in 7 passes Sun Mar 6 01:44:30 2022 max relations containing the same ideal: 199 Sun Mar 6 01:45:56 2022 removing 9778908 relations and 7778908 ideals in 2000000 cliques Sun Mar 6 01:46:02 2022 commencing in-memory singleton removal Sun Mar 6 01:46:18 2022 begin with 215420154 relations and 182215866 unique ideals Sun Mar 6 01:48:14 2022 reduce to 215066000 relations and 174079319 ideals in 8 passes Sun Mar 6 01:48:14 2022 max relations containing the same ideal: 195 Sun Mar 6 01:49:38 2022 removing 8784327 relations and 6784327 ideals in 2000000 cliques Sun Mar 6 01:49:43 2022 commencing in-memory singleton removal Sun Mar 6 01:49:58 2022 begin with 206281673 relations and 174079319 unique ideals Sun Mar 6 01:51:34 2022 reduce to 205978652 relations and 166989147 ideals in 7 passes Sun Mar 6 01:51:34 2022 max relations containing the same ideal: 192 Sun Mar 6 01:52:54 2022 removing 8241277 relations and 6241277 ideals in 2000000 cliques Sun Mar 6 01:52:59 2022 commencing in-memory singleton removal Sun Mar 6 01:53:14 2022 begin with 197737375 relations and 166989147 unique ideals Sun Mar 6 01:54:45 2022 reduce to 197459390 relations and 160467270 ideals in 7 passes Sun Mar 6 01:54:45 2022 max relations containing the same ideal: 187 Sun Mar 6 01:56:02 2022 removing 7891270 relations and 5891270 ideals in 2000000 cliques Sun Mar 6 01:56:07 2022 commencing in-memory singleton removal Sun Mar 6 01:56:20 2022 begin with 189568120 relations and 160467270 unique ideals Sun Mar 6 01:57:37 2022 reduce to 189302944 relations and 154308284 ideals in 6 passes Sun Mar 6 01:57:37 2022 max relations containing the same ideal: 182 Sun Mar 6 01:58:50 2022 removing 7647102 relations and 5647102 ideals in 2000000 cliques Sun Mar 6 01:58:55 2022 commencing in-memory singleton removal Sun Mar 6 01:59:08 2022 begin with 181655842 relations and 154308284 unique ideals Sun Mar 6 02:00:32 2022 reduce to 181398581 relations and 148401292 ideals in 7 passes Sun Mar 6 02:00:32 2022 max relations containing the same ideal: 176 Sun Mar 6 02:01:43 2022 removing 7464205 relations and 5464205 ideals in 2000000 cliques Sun Mar 6 02:01:48 2022 commencing in-memory singleton removal Sun Mar 6 02:02:00 2022 begin with 173934376 relations and 148401292 unique ideals Sun Mar 6 02:03:32 2022 reduce to 173680171 relations and 142680328 ideals in 8 passes Sun Mar 6 02:03:32 2022 max relations containing the same ideal: 175 Sun Mar 6 02:04:40 2022 removing 7329488 relations and 5329488 ideals in 2000000 cliques Sun Mar 6 02:04:44 2022 commencing in-memory singleton removal Sun Mar 6 02:04:56 2022 begin with 166350683 relations and 142680328 unique ideals Sun Mar 6 02:06:13 2022 reduce to 166095804 relations and 137093234 ideals in 7 passes Sun Mar 6 02:06:13 2022 max relations containing the same ideal: 171 Sun Mar 6 02:07:18 2022 removing 7228806 relations and 5228806 ideals in 2000000 cliques Sun Mar 6 02:07:22 2022 commencing in-memory singleton removal Sun Mar 6 02:07:34 2022 begin with 158866998 relations and 137093234 unique ideals Sun Mar 6 02:08:46 2022 reduce to 158610425 relations and 131605026 ideals in 7 passes Sun Mar 6 02:08:46 2022 max relations containing the same ideal: 165 Sun Mar 6 02:09:49 2022 removing 7151495 relations and 5151495 ideals in 2000000 cliques Sun Mar 6 02:09:53 2022 commencing in-memory singleton removal Sun Mar 6 02:10:04 2022 begin with 151458930 relations and 131605026 unique ideals Sun Mar 6 02:11:13 2022 reduce to 151198436 relations and 126190046 ideals in 7 passes Sun Mar 6 02:11:13 2022 max relations containing the same ideal: 158 Sun Mar 6 02:12:13 2022 removing 7093578 relations and 5093578 ideals in 2000000 cliques Sun Mar 6 02:12:17 2022 commencing in-memory singleton removal Sun Mar 6 02:12:27 2022 begin with 144104858 relations and 126190046 unique ideals Sun Mar 6 02:13:32 2022 reduce to 143838370 relations and 120826586 ideals in 7 passes Sun Mar 6 02:13:32 2022 max relations containing the same ideal: 152 Sun Mar 6 02:14:29 2022 removing 7055867 relations and 5055867 ideals in 2000000 cliques Sun Mar 6 02:14:33 2022 commencing in-memory singleton removal Sun Mar 6 02:14:42 2022 begin with 136782503 relations and 120826586 unique ideals Sun Mar 6 02:15:44 2022 reduce to 136509715 relations and 115494501 ideals in 7 passes Sun Mar 6 02:15:44 2022 max relations containing the same ideal: 145 Sun Mar 6 02:16:38 2022 removing 7026102 relations and 5026102 ideals in 2000000 cliques Sun Mar 6 02:16:42 2022 commencing in-memory singleton removal Sun Mar 6 02:16:51 2022 begin with 129483613 relations and 115494501 unique ideals Sun Mar 6 02:17:49 2022 reduce to 129197195 relations and 110178207 ideals in 7 passes Sun Mar 6 02:17:49 2022 max relations containing the same ideal: 143 Sun Mar 6 02:18:41 2022 removing 7020880 relations and 5020880 ideals in 2000000 cliques Sun Mar 6 02:18:44 2022 commencing in-memory singleton removal Sun Mar 6 02:18:52 2022 begin with 122176315 relations and 110178207 unique ideals Sun Mar 6 02:19:47 2022 reduce to 121878071 relations and 104854904 ideals in 7 passes Sun Mar 6 02:19:47 2022 max relations containing the same ideal: 139 Sun Mar 6 02:20:36 2022 removing 7018896 relations and 5018896 ideals in 2000000 cliques Sun Mar 6 02:20:39 2022 commencing in-memory singleton removal Sun Mar 6 02:20:47 2022 begin with 114859175 relations and 104854904 unique ideals Sun Mar 6 02:21:37 2022 reduce to 114544278 relations and 99516441 ideals in 7 passes Sun Mar 6 02:21:37 2022 max relations containing the same ideal: 133 Sun Mar 6 02:22:23 2022 removing 7030951 relations and 5030951 ideals in 2000000 cliques Sun Mar 6 02:22:26 2022 commencing in-memory singleton removal Sun Mar 6 02:22:33 2022 begin with 107513327 relations and 99516441 unique ideals Sun Mar 6 02:23:28 2022 reduce to 107179297 relations and 94146238 ideals in 8 passes Sun Mar 6 02:23:28 2022 max relations containing the same ideal: 126 Sun Mar 6 02:24:11 2022 removing 7061210 relations and 5061210 ideals in 2000000 cliques Sun Mar 6 02:24:14 2022 commencing in-memory singleton removal Sun Mar 6 02:24:21 2022 begin with 100118087 relations and 94146238 unique ideals Sun Mar 6 02:25:05 2022 reduce to 99758842 relations and 88719828 ideals in 7 passes Sun Mar 6 02:25:05 2022 max relations containing the same ideal: 120 Sun Mar 6 02:25:46 2022 removing 7101070 relations and 5101070 ideals in 2000000 cliques Sun Mar 6 02:25:49 2022 commencing in-memory singleton removal Sun Mar 6 02:25:55 2022 begin with 92657772 relations and 88719828 unique ideals Sun Mar 6 02:26:35 2022 reduce to 92269013 relations and 83223076 ideals in 7 passes Sun Mar 6 02:26:35 2022 max relations containing the same ideal: 114 Sun Mar 6 02:27:13 2022 removing 7163087 relations and 5163087 ideals in 2000000 cliques Sun Mar 6 02:27:16 2022 commencing in-memory singleton removal Sun Mar 6 02:27:22 2022 begin with 85105926 relations and 83223076 unique ideals Sun Mar 6 02:27:59 2022 reduce to 84678213 relations and 77624108 ideals in 7 passes Sun Mar 6 02:27:59 2022 max relations containing the same ideal: 108 Sun Mar 6 02:28:34 2022 removing 7240198 relations and 5240198 ideals in 2000000 cliques Sun Mar 6 02:28:36 2022 commencing in-memory singleton removal Sun Mar 6 02:28:42 2022 begin with 77438015 relations and 77624108 unique ideals Sun Mar 6 02:29:19 2022 reduce to 76962411 relations and 71898562 ideals in 8 passes Sun Mar 6 02:29:19 2022 max relations containing the same ideal: 100 Sun Mar 6 02:29:51 2022 removing 7341416 relations and 5341416 ideals in 2000000 cliques Sun Mar 6 02:29:54 2022 commencing in-memory singleton removal Sun Mar 6 02:29:58 2022 begin with 69620995 relations and 71898562 unique ideals Sun Mar 6 02:30:28 2022 reduce to 69079812 relations and 66004125 ideals in 7 passes Sun Mar 6 02:30:28 2022 max relations containing the same ideal: 96 Sun Mar 6 02:30:57 2022 removing 6388323 relations and 4739263 ideals in 1649060 cliques Sun Mar 6 02:30:59 2022 commencing in-memory singleton removal Sun Mar 6 02:31:03 2022 begin with 62691489 relations and 66004125 unique ideals Sun Mar 6 02:31:33 2022 reduce to 62233388 relations and 60797397 ideals in 8 passes Sun Mar 6 02:31:33 2022 max relations containing the same ideal: 85 Sun Mar 6 02:31:59 2022 removing 79034 relations and 69670 ideals in 9364 cliques Sun Mar 6 02:32:00 2022 commencing in-memory singleton removal Sun Mar 6 02:32:04 2022 begin with 62154354 relations and 60797397 unique ideals Sun Mar 6 02:32:19 2022 reduce to 62154299 relations and 60727672 ideals in 4 passes Sun Mar 6 02:32:19 2022 max relations containing the same ideal: 85 Sun Mar 6 02:32:27 2022 relations with 0 large ideals: 94976 Sun Mar 6 02:32:27 2022 relations with 1 large ideals: 16752 Sun Mar 6 02:32:27 2022 relations with 2 large ideals: 203707 Sun Mar 6 02:32:27 2022 relations with 3 large ideals: 1383482 Sun Mar 6 02:32:28 2022 relations with 4 large ideals: 5253597 Sun Mar 6 02:32:28 2022 relations with 5 large ideals: 13885748 Sun Mar 6 02:32:28 2022 relations with 6 large ideals: 16097423 Sun Mar 6 02:32:28 2022 relations with 7+ large ideals: 25218614 Sun Mar 6 02:32:28 2022 commencing 2-way merge Sun Mar 6 02:33:05 2022 reduce to 40205961 relation sets and 38779334 unique ideals Sun Mar 6 02:33:05 2022 commencing full merge Sun Mar 6 02:56:57 2022 memory use: 1800.4 MB Sun Mar 6 02:56:57 2022 found 200101 cycles, need 8697442 Sun Mar 6 02:56:57 2022 too few cycles, matrix probably cannot build Sun Mar 6 02:56:57 2022 filtering wants 1000000 more relations Sun Mar 6 02:56:57 2022 elapsed time 03:11:33 Sun Mar 6 09:38:40 2022 Sun Mar 6 09:38:40 2022 Sun Mar 6 09:38:40 2022 Msieve v. 1.54 (SVN 1040M) Sun Mar 6 09:38:40 2022 random seeds: b3a08a35 b8d449d3 Sun Mar 6 09:38:40 2022 factoring 2310816615722295220102080492733672721044671266503875020367079565629321086052362111756241373856189001254335375320616767252680978637534275034582109949232818866084049085241722868443040919247517841049773630491277395570712917106937 (226 digits) Sun Mar 6 09:38:41 2022 searching for 15-digit factors Sun Mar 6 09:38:41 2022 commencing number field sieve (226-digit input) Sun Mar 6 09:38:41 2022 R0: -100433627766186892221372630771322662657637687111424552206336 Sun Mar 6 09:38:41 2022 R1: 10301051460877537453973547267843 Sun Mar 6 09:38:41 2022 A0: 9 Sun Mar 6 09:38:41 2022 A1: -18 Sun Mar 6 09:38:41 2022 A2: 18 Sun Mar 6 09:38:41 2022 A3: -12 Sun Mar 6 09:38:41 2022 A4: 4 Sun Mar 6 09:38:41 2022 skew 1.22, size 3.361e-24, alpha 1.559, combined = 2.138e-14 rroots = 0 Sun Mar 6 09:38:41 2022 Sun Mar 6 09:38:41 2022 commencing relation filtering Sun Mar 6 09:38:41 2022 setting target matrix density to 114.0 Sun Mar 6 09:38:41 2022 estimated available RAM is 32768.0 MB Sun Mar 6 09:38:41 2022 commencing duplicate removal, pass 1 Sun Mar 6 09:42:03 2022 error -15 reading relation 33986223 Sun Mar 6 09:42:09 2022 error -5 reading relation 35037149 Sun Mar 6 09:49:25 2022 error -15 reading relation 108262300 Sun Mar 6 09:52:45 2022 error -15 reading relation 141814879 Sun Mar 6 09:56:03 2022 error -15 reading relation 175005890 Sun Mar 6 09:56:54 2022 error -1 reading relation 183374642 Sun Mar 6 10:12:55 2022 error -11 reading relation 343582629 Sun Mar 6 10:15:00 2022 skipped 9563 relations with b > 2^32 Sun Mar 6 10:15:00 2022 skipped 2 relations with composite factors Sun Mar 6 10:15:00 2022 found 27806541 hash collisions in 364950692 relations Sun Mar 6 10:15:00 2022 commencing duplicate removal, pass 2 Sun Mar 6 10:30:52 2022 found 3 duplicates and 364950689 unique relations Sun Mar 6 10:30:52 2022 memory use: 1321.5 MB Sun Mar 6 10:30:52 2022 reading ideals above 244908032 Sun Mar 6 10:30:52 2022 commencing singleton removal, initial pass Sun Mar 6 10:57:10 2022 memory use: 6024.0 MB Sun Mar 6 10:57:10 2022 reading all ideals from disk Sun Mar 6 10:59:51 2022 memory use: 6695.1 MB Sun Mar 6 11:00:05 2022 commencing in-memory singleton removal Sun Mar 6 11:00:18 2022 begin with 364950689 relations and 307194585 unique ideals Sun Mar 6 11:02:35 2022 reduce to 238730699 relations and 168154035 ideals in 15 passes Sun Mar 6 11:02:35 2022 max relations containing the same ideal: 56 Sun Mar 6 11:03:04 2022 reading ideals above 720000 Sun Mar 6 11:03:04 2022 commencing singleton removal, initial pass Sun Mar 6 11:26:38 2022 memory use: 5512.0 MB Sun Mar 6 11:26:38 2022 reading all ideals from disk Sun Mar 6 11:30:37 2022 memory use: 9981.0 MB Sun Mar 6 11:31:00 2022 keeping 193754049 ideals with weight <= 200, target excess is 1229850 Sun Mar 6 11:31:24 2022 commencing in-memory singleton removal Sun Mar 6 11:31:41 2022 begin with 238730699 relations and 193754049 unique ideals Sun Mar 6 11:33:01 2022 reduce to 238729027 relations and 193752376 ideals in 5 passes Sun Mar 6 11:33:01 2022 max relations containing the same ideal: 200 Sun Mar 6 11:34:34 2022 removing 12973058 relations and 10973058 ideals in 2000000 cliques Sun Mar 6 11:34:40 2022 commencing in-memory singleton removal Sun Mar 6 11:34:57 2022 begin with 225755969 relations and 193752376 unique ideals Sun Mar 6 11:36:43 2022 reduce to 225199062 relations and 182215866 ideals in 7 passes Sun Mar 6 11:36:43 2022 max relations containing the same ideal: 199 Sun Mar 6 11:38:11 2022 removing 9778908 relations and 7778908 ideals in 2000000 cliques Sun Mar 6 11:38:16 2022 commencing in-memory singleton removal Sun Mar 6 11:38:32 2022 begin with 215420154 relations and 182215866 unique ideals Sun Mar 6 11:40:27 2022 reduce to 215066000 relations and 174079319 ideals in 8 passes Sun Mar 6 11:40:27 2022 max relations containing the same ideal: 195 Sun Mar 6 11:41:51 2022 removing 8784327 relations and 6784327 ideals in 2000000 cliques Sun Mar 6 11:41:56 2022 commencing in-memory singleton removal Sun Mar 6 11:42:11 2022 begin with 206281673 relations and 174079319 unique ideals Sun Mar 6 11:43:48 2022 reduce to 205978652 relations and 166989147 ideals in 7 passes Sun Mar 6 11:43:48 2022 max relations containing the same ideal: 192 Sun Mar 6 11:45:09 2022 removing 8241277 relations and 6241277 ideals in 2000000 cliques Sun Mar 6 11:45:14 2022 commencing in-memory singleton removal Sun Mar 6 11:45:28 2022 begin with 197737375 relations and 166989147 unique ideals Sun Mar 6 11:47:00 2022 reduce to 197459390 relations and 160467270 ideals in 7 passes Sun Mar 6 11:47:00 2022 max relations containing the same ideal: 187 Sun Mar 6 11:48:17 2022 removing 7891270 relations and 5891270 ideals in 2000000 cliques Sun Mar 6 11:48:22 2022 commencing in-memory singleton removal Sun Mar 6 11:48:36 2022 begin with 189568120 relations and 160467270 unique ideals Sun Mar 6 11:49:52 2022 reduce to 189302944 relations and 154308284 ideals in 6 passes Sun Mar 6 11:49:52 2022 max relations containing the same ideal: 182 Sun Mar 6 11:51:06 2022 removing 7647102 relations and 5647102 ideals in 2000000 cliques Sun Mar 6 11:51:11 2022 commencing in-memory singleton removal Sun Mar 6 11:51:24 2022 begin with 181655842 relations and 154308284 unique ideals Sun Mar 6 11:52:49 2022 reduce to 181398581 relations and 148401292 ideals in 7 passes Sun Mar 6 11:52:49 2022 max relations containing the same ideal: 176 Sun Mar 6 11:54:00 2022 removing 7464205 relations and 5464205 ideals in 2000000 cliques Sun Mar 6 11:54:04 2022 commencing in-memory singleton removal Sun Mar 6 11:54:17 2022 begin with 173934376 relations and 148401292 unique ideals Sun Mar 6 11:55:49 2022 reduce to 173680171 relations and 142680328 ideals in 8 passes Sun Mar 6 11:55:49 2022 max relations containing the same ideal: 175 Sun Mar 6 11:56:58 2022 removing 7329488 relations and 5329488 ideals in 2000000 cliques Sun Mar 6 11:57:02 2022 commencing in-memory singleton removal Sun Mar 6 11:57:14 2022 begin with 166350683 relations and 142680328 unique ideals Sun Mar 6 11:58:30 2022 reduce to 166095804 relations and 137093234 ideals in 7 passes Sun Mar 6 11:58:30 2022 max relations containing the same ideal: 171 Sun Mar 6 11:59:36 2022 removing 7228806 relations and 5228806 ideals in 2000000 cliques Sun Mar 6 11:59:40 2022 commencing in-memory singleton removal Sun Mar 6 11:59:51 2022 begin with 158866998 relations and 137093234 unique ideals Sun Mar 6 12:01:05 2022 reduce to 158610425 relations and 131605026 ideals in 7 passes Sun Mar 6 12:01:05 2022 max relations containing the same ideal: 165 Sun Mar 6 12:02:08 2022 removing 7151495 relations and 5151495 ideals in 2000000 cliques Sun Mar 6 12:02:12 2022 commencing in-memory singleton removal Sun Mar 6 12:02:23 2022 begin with 151458930 relations and 131605026 unique ideals Sun Mar 6 12:03:33 2022 reduce to 151198436 relations and 126190046 ideals in 7 passes Sun Mar 6 12:03:33 2022 max relations containing the same ideal: 158 Sun Mar 6 12:04:33 2022 removing 7093578 relations and 5093578 ideals in 2000000 cliques Sun Mar 6 12:04:37 2022 commencing in-memory singleton removal Sun Mar 6 12:04:47 2022 begin with 144104858 relations and 126190046 unique ideals Sun Mar 6 12:05:52 2022 reduce to 143838370 relations and 120826586 ideals in 7 passes Sun Mar 6 12:05:52 2022 max relations containing the same ideal: 152 Sun Mar 6 12:06:50 2022 removing 7055867 relations and 5055867 ideals in 2000000 cliques Sun Mar 6 12:06:53 2022 commencing in-memory singleton removal Sun Mar 6 12:07:03 2022 begin with 136782503 relations and 120826586 unique ideals Sun Mar 6 12:08:04 2022 reduce to 136509715 relations and 115494501 ideals in 7 passes Sun Mar 6 12:08:04 2022 max relations containing the same ideal: 145 Sun Mar 6 12:08:58 2022 removing 7026102 relations and 5026102 ideals in 2000000 cliques Sun Mar 6 12:09:02 2022 commencing in-memory singleton removal Sun Mar 6 12:09:11 2022 begin with 129483613 relations and 115494501 unique ideals Sun Mar 6 12:10:09 2022 reduce to 129197195 relations and 110178207 ideals in 7 passes Sun Mar 6 12:10:09 2022 max relations containing the same ideal: 143 Sun Mar 6 12:11:00 2022 removing 7020880 relations and 5020880 ideals in 2000000 cliques Sun Mar 6 12:11:04 2022 commencing in-memory singleton removal Sun Mar 6 12:11:12 2022 begin with 122176315 relations and 110178207 unique ideals Sun Mar 6 12:12:07 2022 reduce to 121878071 relations and 104854904 ideals in 7 passes Sun Mar 6 12:12:07 2022 max relations containing the same ideal: 139 Sun Mar 6 12:12:56 2022 removing 7018896 relations and 5018896 ideals in 2000000 cliques Sun Mar 6 12:12:59 2022 commencing in-memory singleton removal Sun Mar 6 12:13:07 2022 begin with 114859175 relations and 104854904 unique ideals Sun Mar 6 12:13:58 2022 reduce to 114544278 relations and 99516441 ideals in 7 passes Sun Mar 6 12:13:58 2022 max relations containing the same ideal: 133 Sun Mar 6 12:14:44 2022 removing 7030951 relations and 5030951 ideals in 2000000 cliques Sun Mar 6 12:14:48 2022 commencing in-memory singleton removal Sun Mar 6 12:14:55 2022 begin with 107513327 relations and 99516441 unique ideals Sun Mar 6 12:15:49 2022 reduce to 107179297 relations and 94146238 ideals in 8 passes Sun Mar 6 12:15:49 2022 max relations containing the same ideal: 126 Sun Mar 6 12:16:33 2022 removing 7061210 relations and 5061210 ideals in 2000000 cliques Sun Mar 6 12:16:36 2022 commencing in-memory singleton removal Sun Mar 6 12:16:42 2022 begin with 100118087 relations and 94146238 unique ideals Sun Mar 6 12:17:26 2022 reduce to 99758842 relations and 88719828 ideals in 7 passes Sun Mar 6 12:17:26 2022 max relations containing the same ideal: 120 Sun Mar 6 12:18:07 2022 removing 7101070 relations and 5101070 ideals in 2000000 cliques Sun Mar 6 12:18:10 2022 commencing in-memory singleton removal Sun Mar 6 12:18:16 2022 begin with 92657772 relations and 88719828 unique ideals Sun Mar 6 12:18:57 2022 reduce to 92269013 relations and 83223076 ideals in 7 passes Sun Mar 6 12:18:57 2022 max relations containing the same ideal: 114 Sun Mar 6 12:19:35 2022 removing 7163087 relations and 5163087 ideals in 2000000 cliques Sun Mar 6 12:19:38 2022 commencing in-memory singleton removal Sun Mar 6 12:19:43 2022 begin with 85105926 relations and 83223076 unique ideals Sun Mar 6 12:20:20 2022 reduce to 84678213 relations and 77624108 ideals in 7 passes Sun Mar 6 12:20:20 2022 max relations containing the same ideal: 108 Sun Mar 6 12:20:55 2022 removing 7240198 relations and 5240198 ideals in 2000000 cliques Sun Mar 6 12:20:58 2022 commencing in-memory singleton removal Sun Mar 6 12:21:03 2022 begin with 77438015 relations and 77624108 unique ideals Sun Mar 6 12:21:41 2022 reduce to 76962411 relations and 71898562 ideals in 8 passes Sun Mar 6 12:21:41 2022 max relations containing the same ideal: 100 Sun Mar 6 12:22:13 2022 removing 7341416 relations and 5341416 ideals in 2000000 cliques Sun Mar 6 12:22:15 2022 commencing in-memory singleton removal Sun Mar 6 12:22:20 2022 begin with 69620995 relations and 71898562 unique ideals Sun Mar 6 12:22:49 2022 reduce to 69079812 relations and 66004125 ideals in 7 passes Sun Mar 6 12:22:49 2022 max relations containing the same ideal: 96 Sun Mar 6 12:23:19 2022 removing 6388323 relations and 4739263 ideals in 1649060 cliques Sun Mar 6 12:23:21 2022 commencing in-memory singleton removal Sun Mar 6 12:23:25 2022 begin with 62691489 relations and 66004125 unique ideals Sun Mar 6 12:23:55 2022 reduce to 62233388 relations and 60797397 ideals in 8 passes Sun Mar 6 12:23:55 2022 max relations containing the same ideal: 85 Sun Mar 6 12:24:21 2022 removing 79034 relations and 69670 ideals in 9364 cliques Sun Mar 6 12:24:23 2022 commencing in-memory singleton removal Sun Mar 6 12:24:27 2022 begin with 62154354 relations and 60797397 unique ideals Sun Mar 6 12:24:41 2022 reduce to 62154299 relations and 60727672 ideals in 4 passes Sun Mar 6 12:24:41 2022 max relations containing the same ideal: 85 Sun Mar 6 12:24:50 2022 relations with 0 large ideals: 94976 Sun Mar 6 12:24:50 2022 relations with 1 large ideals: 16752 Sun Mar 6 12:24:50 2022 relations with 2 large ideals: 203707 Sun Mar 6 12:24:50 2022 relations with 3 large ideals: 1383482 Sun Mar 6 12:24:50 2022 relations with 4 large ideals: 5253597 Sun Mar 6 12:24:50 2022 relations with 5 large ideals: 13885748 Sun Mar 6 12:24:50 2022 relations with 6 large ideals: 16097423 Sun Mar 6 12:24:50 2022 relations with 7+ large ideals: 25218614 Sun Mar 6 12:24:50 2022 commencing 2-way merge Sun Mar 6 12:25:27 2022 reduce to 40205961 relation sets and 38779334 unique ideals Sun Mar 6 12:25:28 2022 commencing full merge Sun Mar 6 12:38:21 2022 memory use: 4944.2 MB Sun Mar 6 12:38:27 2022 found 18091060 cycles, need 18065534 Sun Mar 6 12:38:28 2022 weight of 18065534 cycles is about 2060192218 (114.04/cycle) Sun Mar 6 12:38:28 2022 distribution of cycle lengths: Sun Mar 6 12:38:28 2022 1 relations: 1045410 Sun Mar 6 12:38:28 2022 2 relations: 1179949 Sun Mar 6 12:38:28 2022 3 relations: 1247967 Sun Mar 6 12:38:28 2022 4 relations: 1261028 Sun Mar 6 12:38:28 2022 5 relations: 1257594 Sun Mar 6 12:38:28 2022 6 relations: 1241018 Sun Mar 6 12:38:28 2022 7 relations: 1209093 Sun Mar 6 12:38:28 2022 8 relations: 1161867 Sun Mar 6 12:38:28 2022 9 relations: 1098934 Sun Mar 6 12:38:28 2022 10+ relations: 7362674 Sun Mar 6 12:38:28 2022 heaviest cycle: 28 relations Sun Mar 6 12:38:33 2022 commencing cycle optimization Sun Mar 6 12:39:03 2022 start with 161905430 relations Sun Mar 6 12:45:30 2022 pruned 7316210 relations Sun Mar 6 12:45:30 2022 memory use: 4230.4 MB Sun Mar 6 12:45:30 2022 distribution of cycle lengths: Sun Mar 6 12:45:30 2022 1 relations: 1045410 Sun Mar 6 12:45:30 2022 2 relations: 1202717 Sun Mar 6 12:45:30 2022 3 relations: 1296143 Sun Mar 6 12:45:30 2022 4 relations: 1310729 Sun Mar 6 12:45:30 2022 5 relations: 1318941 Sun Mar 6 12:45:30 2022 6 relations: 1299010 Sun Mar 6 12:45:30 2022 7 relations: 1271349 Sun Mar 6 12:45:30 2022 8 relations: 1216335 Sun Mar 6 12:45:30 2022 9 relations: 1151323 Sun Mar 6 12:45:30 2022 10+ relations: 6953577 Sun Mar 6 12:45:30 2022 heaviest cycle: 28 relations Sun Mar 6 12:45:57 2022 RelProcTime: 11236 Sun Mar 6 12:45:57 2022 Sun Mar 6 12:45:57 2022 commencing linear algebra Sun Mar 6 12:45:59 2022 read 18065534 cycles Sun Mar 6 12:46:41 2022 cycles contain 61320787 unique relations Sun Mar 6 13:02:46 2022 read 61320787 relations Sun Mar 6 13:05:18 2022 using 20 quadratic characters above 4294917295 Sun Mar 6 13:08:57 2022 building initial matrix Sun Mar 6 13:18:15 2022 memory use: 7756.6 MB Sun Mar 6 13:21:39 2022 read 18065534 cycles Sun Mar 6 13:21:41 2022 matrix is 18065357 x 18065534 (8186.2 MB) with weight 2322845423 (128.58/col) Sun Mar 6 13:21:41 2022 sparse part has weight 1947235309 (107.79/col) Sun Mar 6 13:24:59 2022 filtering completed in 2 passes Sun Mar 6 13:25:01 2022 matrix is 18065081 x 18065258 (8186.1 MB) with weight 2322836457 (128.58/col) Sun Mar 6 13:25:01 2022 sparse part has weight 1947232267 (107.79/col) Sun Mar 6 13:29:05 2022 matrix starts at (0, 0) Sun Mar 6 13:29:07 2022 matrix is 18065081 x 18065258 (8186.1 MB) with weight 2322836457 (128.58/col) Sun Mar 6 13:29:07 2022 sparse part has weight 1947232267 (107.79/col) Sun Mar 6 13:29:07 2022 saving the first 48 matrix rows for later Sun Mar 6 13:29:10 2022 matrix includes 64 packed rows Sun Mar 6 13:29:11 2022 matrix is 18065033 x 18065258 (7833.1 MB) with weight 1997921973 (110.59/col) Sun Mar 6 13:29:11 2022 sparse part has weight 1872751797 (103.67/col) Sun Mar 6 13:29:11 2022 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB Sun Mar 6 13:30:15 2022 commencing Lanczos iteration (16 threads) Sun Mar 6 13:30:15 2022 memory use: 7609.4 MB Sun Mar 6 13:30:39 2022 linear algebra at 0.0%, ETA 76h19m Sun Mar 6 13:30:46 2022 checkpointing every 250000 dimensions Tue Mar 8 18:07:06 2022 Tue Mar 8 18:07:06 2022 Tue Mar 8 18:07:06 2022 Msieve v. 1.54 (SVN 1040M) Tue Mar 8 18:07:06 2022 random seeds: 888c9b7a 05fb387e Tue Mar 8 18:07:06 2022 factoring 2310816615722295220102080492733672721044671266503875020367079565629321086052362111756241373856189001254335375320616767252680978637534275034582109949232818866084049085241722868443040919247517841049773630491277395570712917106937 (226 digits) Tue Mar 8 18:07:07 2022 searching for 15-digit factors Tue Mar 8 18:07:07 2022 commencing number field sieve (226-digit input) Tue Mar 8 18:07:07 2022 R0: -100433627766186892221372630771322662657637687111424552206336 Tue Mar 8 18:07:07 2022 R1: 10301051460877537453973547267843 Tue Mar 8 18:07:07 2022 A0: 9 Tue Mar 8 18:07:07 2022 A1: -18 Tue Mar 8 18:07:07 2022 A2: 18 Tue Mar 8 18:07:07 2022 A3: -12 Tue Mar 8 18:07:07 2022 A4: 4 Tue Mar 8 18:07:07 2022 skew 1.22, size 3.361e-24, alpha 1.559, combined = 2.138e-14 rroots = 0 Tue Mar 8 18:07:07 2022 Tue Mar 8 18:07:07 2022 commencing linear algebra Tue Mar 8 18:10:07 2022 matrix starts at (0, 0) Tue Mar 8 18:10:08 2022 matrix is 18065081 x 18065258 (8186.1 MB) with weight 2322836457 (128.58/col) Tue Mar 8 18:10:08 2022 sparse part has weight 1947232267 (107.79/col) Tue Mar 8 18:10:08 2022 saving the first 48 matrix rows for later Tue Mar 8 18:10:11 2022 matrix includes 64 packed rows Tue Mar 8 18:10:12 2022 matrix is 18065033 x 18065258 (7833.1 MB) with weight 1997921973 (110.59/col) Tue Mar 8 18:10:12 2022 sparse part has weight 1872751797 (103.67/col) Tue Mar 8 18:10:12 2022 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB Tue Mar 8 18:11:16 2022 commencing Lanczos iteration (16 threads) Tue Mar 8 18:11:16 2022 memory use: 7609.4 MB Tue Mar 8 18:11:32 2022 restarting at iteration 201628 (dim = 12750046) Tue Mar 8 18:11:55 2022 linear algebra at 70.6%, ETA 22h22m Tue Mar 8 18:12:02 2022 checkpointing every 240000 dimensions Wed Mar 9 10:25:33 2022 Wed Mar 9 10:25:33 2022 Wed Mar 9 10:25:33 2022 Msieve v. 1.54 (SVN 1040M) Wed Mar 9 10:25:33 2022 random seeds: 5f87eec1 eafba8c4 Wed Mar 9 10:25:33 2022 factoring 2310816615722295220102080492733672721044671266503875020367079565629321086052362111756241373856189001254335375320616767252680978637534275034582109949232818866084049085241722868443040919247517841049773630491277395570712917106937 (226 digits) Wed Mar 9 10:25:34 2022 searching for 15-digit factors Wed Mar 9 10:25:34 2022 commencing number field sieve (226-digit input) Wed Mar 9 10:25:34 2022 R0: -100433627766186892221372630771322662657637687111424552206336 Wed Mar 9 10:25:34 2022 R1: 10301051460877537453973547267843 Wed Mar 9 10:25:34 2022 A0: 9 Wed Mar 9 10:25:34 2022 A1: -18 Wed Mar 9 10:25:34 2022 A2: 18 Wed Mar 9 10:25:34 2022 A3: -12 Wed Mar 9 10:25:34 2022 A4: 4 Wed Mar 9 10:25:34 2022 skew 1.22, size 3.361e-24, alpha 1.559, combined = 2.138e-14 rroots = 0 Wed Mar 9 10:25:34 2022 Wed Mar 9 10:25:34 2022 commencing linear algebra Wed Mar 9 10:28:35 2022 matrix starts at (0, 0) Wed Mar 9 10:28:48 2022 matrix is 18065081 x 18065258 (8186.1 MB) with weight 2322836457 (128.58/col) Wed Mar 9 10:28:48 2022 sparse part has weight 1947232267 (107.79/col) Wed Mar 9 10:28:48 2022 saving the first 48 matrix rows for later Wed Mar 9 10:28:54 2022 matrix includes 64 packed rows Wed Mar 9 10:28:56 2022 matrix is 18065033 x 18065258 (7833.1 MB) with weight 1997921973 (110.59/col) Wed Mar 9 10:28:56 2022 sparse part has weight 1872751797 (103.67/col) Wed Mar 9 10:28:56 2022 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB Wed Mar 9 10:30:05 2022 commencing Lanczos iteration (16 threads) Wed Mar 9 10:30:05 2022 memory use: 7609.4 MB Wed Mar 9 10:30:21 2022 restarting at iteration 201628 (dim = 12750046) Wed Mar 9 10:30:47 2022 linear algebra at 70.6%, ETA 25h17m Wed Mar 9 10:30:55 2022 checkpointing every 210000 dimensions Thu Mar 10 08:07:02 2022 lanczos halted after 285679 iterations (dim = 18065029) Thu Mar 10 08:07:19 2022 recovered 35 nontrivial dependencies Thu Mar 10 08:07:34 2022 BLanczosTime: 78120 Thu Mar 10 08:07:34 2022 Thu Mar 10 08:07:34 2022 commencing square root phase Thu Mar 10 08:07:34 2022 reading relations for dependency 1 Thu Mar 10 08:07:50 2022 read 9029649 cycles Thu Mar 10 08:08:08 2022 cycles contain 30655964 unique relations Thu Mar 10 08:24:09 2022 read 30655964 relations Thu Mar 10 08:26:08 2022 multiplying 30655964 relations Thu Mar 10 08:36:06 2022 multiply complete, coefficients have about 887.19 million bits Thu Mar 10 08:36:08 2022 warning: no irreducible prime found, switching to small primes Thu Mar 10 08:36:08 2022 initial square root is modulo 53 Thu Mar 10 09:01:42 2022 Newton iteration failed to converge Thu Mar 10 09:01:42 2022 algebraic square root failed Thu Mar 10 09:01:42 2022 reading relations for dependency 2 Thu Mar 10 09:02:01 2022 read 9032498 cycles Thu Mar 10 09:02:20 2022 cycles contain 30661292 unique relations Thu Mar 10 09:18:20 2022 read 30661292 relations Thu Mar 10 09:20:25 2022 multiplying 30661292 relations Thu Mar 10 09:30:48 2022 multiply complete, coefficients have about 887.36 million bits Thu Mar 10 09:30:50 2022 warning: no irreducible prime found, switching to small primes Thu Mar 10 09:30:50 2022 initial square root is modulo 53 Thu Mar 10 09:54:37 2022 sqrtTime: 6423 Thu Mar 10 09:54:37 2022 p83 factor: 25795021000288471829512722280109368888630885235958163898197774208748622283950178809 Thu Mar 10 09:54:37 2022 p143 factor: 89583823781203853664673166920668967691627414349113496870647896007311922987112722003420128667570751772950374071173154824865606714936949308315393 Thu Mar 10 09:54:37 2022 elapsed time 23:29:04