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Old 2007-12-27, 18:45   #23
xilman
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Quote:
Originally Posted by R.D. Silverman View Post
Truly clueless.
You've only just noticed?

I've been hitting him with a clue stick for some time before I gave it up as an execise in futility.

Paul
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Old 2008-01-04, 03:47   #24
jbristow
 
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Default 7, 366+

Tom Womack was kind enough to run the linear algebra on 7, 366+, which finished today:

C151 = P69 . P82

P69 = 713483057839775626177378111971655537227563305944989779135833832322797
P82 = 5778717790879698919076602599509643359912235152733636666400585182857394662722358053

The polynomial was x^6 - 7x^3 + 49. I chose a large prime bound of 2^28 in an attempt to keep the number of relations under 4GB so that Windows would behave when msieve tried to read the file. I didn't take duplicates into account when I did my test-sieving, so I ended up a little on the low side in choosing a small prime bound of 15M and using gnfs-lasieve4I13e instead of 14. I should have erred higher on the small prime bound anyway, since being too high is less harmful than being too low.

All in all, it ended up taking about 12 days of sieving on 4 cores and then 2 days of linear algebra on Tom's machine.
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Old 2008-06-25, 14:26   #25
jbristow
 
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Default 7, 268+

7, 268+ finished this morning:

C185 = P58 . P128

Code:
P58 = 1573744084294063562475602505413603199105388076450149833377
P128 = 15816744205529466487663796803843948505059674943282418677011712206157431646857897717573550676477332842468821417836994102996680177
The matrix was
7632730 x 7632929 (2320.0 MB) with weight 719555799 (94.27/col) [sparse part had weight
555364621 (72.76/col)].

The linear algebra took just under a week to run on a Q6600 quad-core with 6GB of memory. The factors were found on the second dependency. Each dependency took about an hour and 40 minutes.

For sieving, I used 30-bit large primes and a factor base bound of 30M on each of the algebraic and rational sides. I began by sieving only on the algebraic side and only special-q above the factor base bound, but after reading some of Tom's postings in another thread, switched to sieving both the rational and algebraic sides below 30M (lowering the appropriate factor base bound as needed).

Code:
Wed Jun 18 19:07:41 2008 Msieve v. 1.36
Wed Jun 18 19:07:41 2008 random seeds: f5136d28 71f93f34
Wed Jun 18 19:07:41 2008 factoring 24891507626244406120480497383985472681305924731801184706322368928780665216062688549532304713344794061905695890812821414304746944292502195893893185976748433282143972451856610060708867729 (185 digits)
Wed Jun 18 19:07:42 2008 no P-1/P+1/ECM available, skipping
Wed Jun 18 19:07:42 2008 commencing number field sieve (185-digit input)
Wed Jun 18 19:07:43 2008 R0: -107006904423598033356356300384937784807
Wed Jun 18 19:07:43 2008 R1: 1
Wed Jun 18 19:07:43 2008 A0: 49
Wed Jun 18 19:07:43 2008 A1: 0
Wed Jun 18 19:07:43 2008 A2: 0
Wed Jun 18 19:07:43 2008 A3: 0
Wed Jun 18 19:07:43 2008 A4: 0
Wed Jun 18 19:07:43 2008 A5: 0
Wed Jun 18 19:07:43 2008 A6: 1
Wed Jun 18 19:07:43 2008 size score = 4.006126e-011, Murphy alpha = 1.379935, combined = 2.700825e-011
Wed Jun 18 19:11:27 2008 restarting with 105502695 relations
Wed Jun 18 19:11:27 2008 
Wed Jun 18 19:11:27 2008 commencing relation filtering
Wed Jun 18 19:11:27 2008 commencing duplicate removal, pass 1
Wed Jun 18 19:12:37 2008 error -11 reading relation 9680747
Wed Jun 18 19:13:11 2008 error -11 reading relation 14287221
Wed Jun 18 19:14:43 2008 error -11 reading relation 27247783
Wed Jun 18 19:14:43 2008 error -11 reading relation 27343215
Wed Jun 18 19:16:21 2008 error -11 reading relation 41228705
Wed Jun 18 19:17:05 2008 error -11 reading relation 47615346
Wed Jun 18 19:23:48 2008 found 29710654 hash collisions in 105502689 relations
Wed Jun 18 19:23:48 2008 commencing duplicate removal, pass 2
Wed Jun 18 19:28:44 2008 found 30727411 duplicates and 74775278 unique relations
Wed Jun 18 19:28:44 2008 memory use: 504.8 MB
Wed Jun 18 19:29:14 2008 ignoring smallest 4504807 rational and 4502098 algebraic ideals
Wed Jun 18 19:29:14 2008 filtering rational ideals above 77004800
Wed Jun 18 19:29:14 2008 filtering algebraic ideals above 77004800
Wed Jun 18 19:29:14 2008 need 13510357 more relations than ideals
Wed Jun 18 19:29:14 2008 commencing singleton removal, pass 1
Wed Jun 18 19:38:49 2008 relations with 0 large ideals: 2762538
Wed Jun 18 19:38:49 2008 relations with 1 large ideals: 13542014
Wed Jun 18 19:38:49 2008 relations with 2 large ideals: 26347832
Wed Jun 18 19:38:49 2008 relations with 3 large ideals: 23487016
Wed Jun 18 19:38:49 2008 relations with 4 large ideals: 8272451
Wed Jun 18 19:38:49 2008 relations with 5 large ideals: 363427
Wed Jun 18 19:38:49 2008 relations with 6 large ideals: 0
Wed Jun 18 19:38:49 2008 relations with 7+ large ideals: 0
Wed Jun 18 19:38:49 2008 74775278 relations and about 56041177 large ideals
Wed Jun 18 19:38:49 2008 commencing singleton removal, pass 2
Wed Jun 18 19:48:49 2008 found 18111694 singletons
Wed Jun 18 19:48:49 2008 current dataset: 56663584 relations and about 36000256 large ideals
Wed Jun 18 19:48:49 2008 commencing singleton removal, pass 3
Wed Jun 18 19:56:40 2008 relations with 0 large ideals: 2762538
Wed Jun 18 19:56:40 2008 relations with 1 large ideals: 11935595
Wed Jun 18 19:56:40 2008 relations with 2 large ideals: 20487258
Wed Jun 18 19:56:40 2008 relations with 3 large ideals: 16159718
Wed Jun 18 19:56:40 2008 relations with 4 large ideals: 5101484
Wed Jun 18 19:56:40 2008 relations with 5 large ideals: 216991
Wed Jun 18 19:56:40 2008 relations with 6 large ideals: 0
Wed Jun 18 19:56:40 2008 relations with 7+ large ideals: 0
Wed Jun 18 19:56:40 2008 56663584 relations and about 45441267 large ideals
Wed Jun 18 19:56:40 2008 commencing singleton removal, pass 4
Wed Jun 18 20:04:37 2008 found 13717222 singletons
Wed Jun 18 20:04:37 2008 current dataset: 42946362 relations and about 30265565 large ideals
Wed Jun 18 20:04:37 2008 commencing singleton removal, pass 5
Wed Jun 18 20:11:39 2008 found 3840600 singletons
Wed Jun 18 20:11:39 2008 current dataset: 39105762 relations and about 26282316 large ideals
Wed Jun 18 20:11:40 2008 commencing singleton removal, pass 6
Wed Jun 18 20:18:08 2008 found 1104762 singletons
Wed Jun 18 20:18:08 2008 current dataset: 38001000 relations and about 25164642 large ideals
Wed Jun 18 20:18:08 2008 commencing singleton removal, pass 7
Wed Jun 18 20:24:26 2008 found 320182 singletons
Wed Jun 18 20:24:26 2008 current dataset: 37680818 relations and about 24843332 large ideals
Wed Jun 18 20:24:26 2008 commencing singleton removal, final pass
Wed Jun 18 20:33:43 2008 memory use: 570.1 MB
Wed Jun 18 20:33:43 2008 commencing in-memory singleton removal
Wed Jun 18 20:33:46 2008 begin with 37680818 relations and 28280318 unique ideals
Wed Jun 18 20:34:33 2008 reduce to 30866348 relations and 21261977 ideals in 17 passes
Wed Jun 18 20:34:33 2008 max relations containing the same ideal: 25
Wed Jun 18 20:34:38 2008 filtering rational ideals above 720000
Wed Jun 18 20:34:38 2008 filtering algebraic ideals above 720000
Wed Jun 18 20:34:38 2008 need 115613 more relations than ideals
Wed Jun 18 20:34:38 2008 commencing singleton removal, final pass
Wed Jun 18 20:45:05 2008 keeping 27878044 ideals with weight <= 20, new excess is 2351771
Wed Jun 18 20:46:21 2008 memory use: 962.3 MB
Wed Jun 18 20:46:21 2008 commencing in-memory singleton removal
Wed Jun 18 20:46:25 2008 begin with 30866357 relations and 27878044 unique ideals
Wed Jun 18 20:47:27 2008 reduce to 30404765 relations and 27415527 ideals in 15 passes
Wed Jun 18 20:47:27 2008 max relations containing the same ideal: 20
Wed Jun 18 20:47:50 2008 removing 1810192 relations and 1679600 ideals in 130592 cliques
Wed Jun 18 20:47:51 2008 commencing in-memory singleton removal
Wed Jun 18 20:47:54 2008 begin with 28594573 relations and 27415527 unique ideals
Wed Jun 18 20:48:27 2008 reduce to 28517307 relations and 25658186 ideals in 9 passes
Wed Jun 18 20:48:27 2008 max relations containing the same ideal: 20
Wed Jun 18 20:48:46 2008 removing 1303075 relations and 1172483 ideals in 130592 cliques
Wed Jun 18 20:48:47 2008 commencing in-memory singleton removal
Wed Jun 18 20:48:50 2008 begin with 27214232 relations and 25658186 unique ideals
Wed Jun 18 20:49:28 2008 reduce to 27170612 relations and 24441853 ideals in 11 passes
Wed Jun 18 20:49:28 2008 max relations containing the same ideal: 20
Wed Jun 18 20:49:48 2008 relations with 0 large ideals: 169933
Wed Jun 18 20:49:48 2008 relations with 1 large ideals: 1046085
Wed Jun 18 20:49:48 2008 relations with 2 large ideals: 3795532
Wed Jun 18 20:49:48 2008 relations with 3 large ideals: 7413744
Wed Jun 18 20:49:48 2008 relations with 4 large ideals: 8169908
Wed Jun 18 20:49:48 2008 relations with 5 large ideals: 4919718
Wed Jun 18 20:49:48 2008 relations with 6 large ideals: 1419382
Wed Jun 18 20:49:48 2008 relations with 7+ large ideals: 236310
Wed Jun 18 20:49:48 2008 commencing 2-way merge
Wed Jun 18 20:50:15 2008 reduce to 15807934 relation sets and 13079180 unique ideals
Wed Jun 18 20:50:15 2008 ignored 5 oversize relation sets
Wed Jun 18 20:50:15 2008 commencing full merge
Wed Jun 18 20:53:53 2008 memory use: 1262.0 MB
Wed Jun 18 20:53:54 2008 found 8080678 cycles, need 7715380
Wed Jun 18 20:53:54 2008 weight of 7715380 cycles is about 540357271 (70.04/cycle)
Wed Jun 18 20:53:54 2008 distribution of cycle lengths:
Wed Jun 18 20:53:54 2008 1 relations: 1042760
Wed Jun 18 20:53:54 2008 2 relations: 1048535
Wed Jun 18 20:53:54 2008 3 relations: 1023857
Wed Jun 18 20:53:54 2008 4 relations: 886762
Wed Jun 18 20:53:54 2008 5 relations: 751936
Wed Jun 18 20:53:54 2008 6 relations: 623132
Wed Jun 18 20:53:54 2008 7 relations: 516986
Wed Jun 18 20:53:54 2008 8 relations: 419466
Wed Jun 18 20:53:54 2008 9 relations: 337440
Wed Jun 18 20:53:54 2008 10+ relations: 1064506
Wed Jun 18 20:53:54 2008 heaviest cycle: 17 relations
Wed Jun 18 20:53:56 2008 commencing cycle optimization
Wed Jun 18 20:54:12 2008 start with 39996482 relations
Wed Jun 18 20:55:40 2008 pruned 441394 relations
Wed Jun 18 20:55:40 2008 memory use: 1426.4 MB
Wed Jun 18 20:55:40 2008 distribution of cycle lengths:
Wed Jun 18 20:55:40 2008 1 relations: 1042760
Wed Jun 18 20:55:40 2008 2 relations: 1058072
Wed Jun 18 20:55:40 2008 3 relations: 1042154
Wed Jun 18 20:55:40 2008 4 relations: 894719
Wed Jun 18 20:55:40 2008 5 relations: 759907
Wed Jun 18 20:55:40 2008 6 relations: 625575
Wed Jun 18 20:55:40 2008 7 relations: 517316
Wed Jun 18 20:55:40 2008 8 relations: 417307
Wed Jun 18 20:55:40 2008 9 relations: 334351
Wed Jun 18 20:55:40 2008 10+ relations: 1023219
Wed Jun 18 20:55:40 2008 heaviest cycle: 17 relations
Wed Jun 18 20:55:53 2008 
Wed Jun 18 20:55:53 2008 commencing linear algebra
Wed Jun 18 20:55:55 2008 read 7715380 cycles
Wed Jun 18 20:56:53 2008 cycles contain 24516742 unique relations
Wed Jun 18 21:01:14 2008 read 24516742 relations
Wed Jun 18 21:02:01 2008 using 32 quadratic characters above 1073741190
Wed Jun 18 21:05:46 2008 building initial matrix
Wed Jun 18 21:12:37 2008 memory use: 3042.5 MB
Wed Jun 18 21:13:03 2008 read 7715380 cycles
Wed Jun 18 21:14:02 2008 matrix is 7714188 x 7715380 (2332.3 MB) with weight 724015833 (93.84/col)
Wed Jun 18 21:14:02 2008 sparse part has weight 526516249 (68.24/col)
Wed Jun 18 21:16:46 2008 filtering completed in 3 passes
Wed Jun 18 21:16:49 2008 matrix is 7632730 x 7632929 (2320.0 MB) with weight 719555799 (94.27/col)
Wed Jun 18 21:16:49 2008 sparse part has weight 524218190 (68.68/col)
Wed Jun 18 21:19:06 2008 read 7632929 cycles
Wed Jun 18 21:20:36 2008 matrix is 7632730 x 7632929 (2320.0 MB) with weight 719555799 (94.27/col)
Wed Jun 18 21:20:36 2008 sparse part has weight 524218190 (68.68/col)
Wed Jun 18 21:20:36 2008 saving the first 48 matrix rows for later
Wed Jun 18 21:20:42 2008 matrix is 7632682 x 7632929 (2226.2 MB) with weight 555364621 (72.76/col)
Wed Jun 18 21:20:42 2008 sparse part has weight 507265654 (66.46/col)
Wed Jun 18 21:20:42 2008 matrix includes 64 packed rows
Wed Jun 18 21:20:42 2008 using block size 65536 for processor cache size 4096 kB
Wed Jun 18 21:21:18 2008 commencing Lanczos iteration (4 threads)
Wed Jun 18 21:21:18 2008 memory use: 2334.7 MB
Wed Jun 25 01:18:19 2008 lanczos halted after 120707 iterations (dim = 7632682)
Wed Jun 25 01:18:36 2008 recovered 51 nontrivial dependencies
Wed Jun 25 01:18:37 2008 
Wed Jun 25 01:18:37 2008 commencing square root phase
Wed Jun 25 01:18:37 2008 reading relations for dependency 1
Wed Jun 25 01:18:41 2008 read 3816856 cycles
Wed Jun 25 01:19:01 2008 cycles contain 14653722 unique relations
Wed Jun 25 01:22:55 2008 read 14653722 relations
Wed Jun 25 01:25:23 2008 multiplying 19719892 relations
Wed Jun 25 02:01:11 2008 multiply complete, coefficients have about 485.15 million bits
Wed Jun 25 02:01:22 2008 initial square root is modulo 507228679
Wed Jun 25 03:02:26 2008 reading relations for dependency 2
Wed Jun 25 03:02:28 2008 read 3815355 cycles
Wed Jun 25 03:02:48 2008 cycles contain 14639191 unique relations
Wed Jun 25 03:06:27 2008 read 14639191 relations
Wed Jun 25 03:08:54 2008 multiplying 19696272 relations
Wed Jun 25 03:44:37 2008 multiply complete, coefficients have about 484.57 million bits
Wed Jun 25 03:44:49 2008 initial square root is modulo 495086023
Wed Jun 25 04:45:46 2008 prp58 factor: 1573744084294063562475602505413603199105388076450149833377
Wed Jun 25 04:45:46 2008 prp128 factor: 15816744205529466487663796803843948505059674943282418677011712206157431646857897717573550676477332842468821417836994102996680177
Wed Jun 25 04:45:46 2008 elapsed time 153:38:05

Last fiddled with by jbristow on 2008-06-25 at 14:29
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Old 2008-08-24, 19:39   #26
Batalov
 
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2×3×1,657 Posts
Default 7,384+ done

The easy 7,384+ splits into 11631334060541246637529970830548555786874899779841924590593 (p59) . p130

-Serge
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Old 2008-09-17, 17:39   #27
bdodson
 
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Quote:
Originally Posted by garo View Post
Code:
Base	Index	Size	
    ...
7	305+	C164	0(1.63512)	2160(0.277957)	0(0.0421028)	0(0)	75616255520827784675782015796854048051769404859904095192646831803878044120314513038381693106305370967157805847566363027340927138519266608440018492169637221447988951
   ...
7	311+	C258	0(0.267423)	0(0.0522979)	165(0.00921839)	0(0.00148122)	640261710583557396441673784759534301140916046348222588276756584446664589682614034642595348084836711497628533429794903744459719775182697947321442191861431484856762801072186089573200614046979464967972746169996908282619411683999359626892478708006740931490485561
   ...
7	348+	C180	0(2.09174)	1500(0.38003)	590(0.0622008)	0(0.00529647)	100430049709154577065931061453355190101795884253102166821400890198794453303223672383186522093051207242497000380068034291146454434005154454935510288010606506879020323336997537718457
The two small ones seem to be done, along with 553L from the 3rd page;
and 7, 311+ c258 = p75*p184 snfs Childers/Dodson was reported yesterday
on Tom's 5,421- thread,
[http://www.mersenneforum.org/showthr...wpost&t=10495], over in "factoring".
That's with p75 =
476030545640946917170204607283392215292272721653549541840445676894357361141

There's also 7,313+ pending, with 7,319+ ready for sieving (tested
to p55). -Bruce
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Old 2008-09-17, 21:58   #28
bdodson
 
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Quote:
Originally Posted by garo View Post
Code:
Base    Index    Size   
7    352+    C216 : 3168682...9281527022262461024321
  ...
7    372+    C190  : 5550154...45722549896904143191793
   ...
7    380+    C149  :  1771238...189387676203703608409801
To finish the base-7 review, from the 2nd page, these three
appear to be done. The cofactors are not on the ECMNET
input list, and the indices are not on the 7/08 appendix C.
-Bruce

(Notice Batalov (aka Serge)'s 384+ has already been removed.)

Last fiddled with by akruppa on 2008-09-17 at 22:28 Reason: Removed, thanks!
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Old 2009-06-14, 22:01   #29
bdodson
 
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Quote:
Originally Posted by bdodson View Post
To finish the base-7 review, from the 2nd page, these three
appear to be done. The cofactors are not on the ECMNET
input list, and the indices are not on the 7/08 appendix C.
-Bruce

(...384+ has already been removed.)
I'll grant that there's not a lot of interest in this table, but the 2nd
page still has these three listed.

Code:
Base    Index    Size   
7    352+    C216 : 3168682...9281527022262461024321
  ...
7    372+    C190  : 5550154...45722549896904143191793
   ...
7    380+    C149  :  1771238...189387676203703608409801
Perhaps it's worth noting that the last ones on page2 are some
of the hardest Cunninghams on the current list, such as
Code:
7    397+    C300 
7    398+    C332
for which Sam has
Code:
  397  (1) 1735830097.2561457623453.70258473243281.  C300
  398  (2) 797.                                               C332
Another one that popped up among 394+ on Serge's list of difficulties is
Code:
197     7       394     +       332.969
which says that this C197 is a gnfs number, not snfs! -bd
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Old 2009-10-20, 18:34   #30
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CWI have finished 7,293+:

p89 = 11761779476461257871054419305219299364586294419009998288025259633046691544737636664184667
p99 = 535324109568068561801995816976061085926793360615291609674893030675309487505099963629999611420030807
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Old 2009-11-19, 23:21   #31
frmky
 
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NFS@Home has finished 7,307+. The log is attached.

89-digit prime factor:
17387622838315800340412312254014945207879541386592637954891034393230929149815229230950729

137-digit prime factor:
110373154800251620329038369300884866532181780627004442665806592991834996093506392741359885\
43024787847084760219120921741350210924965847501
Attached Files
File Type: zip 7p307.zip (10.8 KB, 292 views)
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Old 2009-11-28, 06:26   #32
frmky
 
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NFSNet has completed the factorization of 7,304+. The factors are

prp99 factor: 996729992864896297685441229117084324961901633115344675218887271504648958630057425015060925493899201
prp145 factor: 2452776616426354208667872989008042353671173650072983579573302548928200433536565021568114900109346301954787789214414050984696642796097220319947201

The log is attached.
Attached Files
File Type: zip 7p304.zip (5.6 KB, 308 views)
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Old 2010-03-14, 00:55   #33
frmky
 
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NFS@Home has finished 7,314+. The factors were found on the 8th dependency! I was getting a bit worried. Thanks go to Jeff Gilchrist for completing the linear algebra. The factors are

Code:
prp66 factor: 125321901025192892348258037574381527425314305570996203012107214669
prp150 factor: 274294318905105806286422847264028232920879820318570327264523354225593171695260297535139890032272914433483724680472997136290543438891915001995622853869
The log is attached.
Attached Files
File Type: zip 7p314.zip (9.5 KB, 284 views)
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ยฌ โˆจ โˆง โŠ• โ†’ โ† โ‡’ โ‡ โ‡” โˆ€ โˆƒ โˆ„ โˆด โˆต โŠค โŠฅ โŠข โŠจ โซค โŠฃ โ€ฆ โ‹ฏ โ‹ฎ โ‹ฐ โ‹ฑ
โˆซ โˆฌ โˆญ โˆฎ โˆฏ โˆฐ โˆ‡ โˆ† ฮด โˆ‚ โ„ฑ โ„’ โ„“
๐›ข๐›ผ ๐›ฃ๐›ฝ ๐›ค๐›พ ๐›ฅ๐›ฟ ๐›ฆ๐œ€๐œ– ๐›ง๐œ ๐›จ๐œ‚ ๐›ฉ๐œƒ๐œ— ๐›ช๐œ„ ๐›ซ๐œ… ๐›ฌ๐œ† ๐›ญ๐œ‡ ๐›ฎ๐œˆ ๐›ฏ๐œ‰ ๐›ฐ๐œŠ ๐›ฑ๐œ‹ ๐›ฒ๐œŒ ๐›ด๐œŽ๐œ ๐›ต๐œ ๐›ถ๐œ ๐›ท๐œ™๐œ‘ ๐›ธ๐œ’ ๐›น๐œ“ ๐›บ๐œ”