Main   Stats 8H02 by Richard Pavlicek  

Random Solved Deals

General stats for 10,485,760 deals

Each table lists all possible values for each statistic (in decimal unless a bitmap, then binary) with the number of occurrences and percent for North, South, West and East. The most frequent occurrence (mode) is tinted gold, the second-most paler gold, and the third-most even paler. The bottom line shows the number of unique values (U), the total number of occurrences, and the average (mean) value.

FGCPRYQLlsssjs h d csy hy dy cysz hz dz czsq hq dq cqsx hx dx cx

The last column in each table shows the theoretical expected occurrence and percent of each value for all bridge hands. This is mathematically determined and exact.

Percents and averages are rounded to four decimal places, unless zero, which is shown as a single digit. Hence 0.0000 percent is greater than zero but simply rounds that way to the nearest 10,000th.

TopMain

Freakness = F

0  4333
1  4432
2  5332
3  4441 5422
4  5431 6322
5  6331
 6  5440 5521 6421 7222
 7  5530 6430 7321
 8  6511 7330 7411
 9  6520 7420 8221 8311
10  8320
11  6610 7510 8410 9211
12  9220 9310
13  7600 8500 9400 A110
14  A210 A300
16  B110 B200
18  C100
20  D000

ValueNorthSouthWestEastTheoretical
01103788 10.52651106765 10.55491104749 10.53571104251 10.531066905856160 10.5361
12258562 21.53932258040 21.53432259343 21.54682260057 21.5536136852887600 21.5512
21628132 15.52711626194 15.50861626089 15.50761626611 15.512698534079072 15.5168
31424099 13.58131422524 13.56621422538 13.56641424893 13.588886189672140 13.5729
41948003 18.57761947342 18.57131947749 18.57521947627 18.5740117942306768 18.5732
5362785  3.4598361813  3.4505362060  3.4529360632  3.439321896462016  3.4482
61008926  9.62191011535  9.64671009406  9.62641009386  9.626361166193660  9.6323
7429713  4.0981429859  4.0995430626  4.1068429672  4.097726049899304  4.1023
8143128  1.3650142901  1.3628143281  1.3664143261  1.36628651399328  1.3624
9138929  1.3249138838  1.3241139622  1.3315139694  1.33228399095848  1.3227
1011244  0.107211365  0.108411512  0.109811209  0.1069689049504  0.1085
1125322  0.241525502  0.243225614  0.244325402  0.24231548621360  0.2439
121937  0.01851853  0.01771934  0.01841916  0.0183116001600  0.0183
131053  0.01001085  0.01031094  0.01041012  0.009763860368  0.0101
14137  0.0013139  0.0013140  0.0013130  0.00127941648  0.0013
162  0.00005  0.00003  0.00007  0.0001231192  0.0000
1800002028  0.0000
2000004  0.0000
U = 1810485760  2.983110485760  2.983110485760  2.984110485760  2.9830635013559600  2.9829

TopMain

Generic pattern = G

The 39 generic hand patterns in order of theoretical frequency

ValueNorthSouthWestEastTheoretical
 0 44322258562 21.53932258040 21.53432259343 21.54682260057 21.5536136852887600 21.5512
 1 53321628132 15.52711626194 15.50861626089 15.50761626611 15.512698534079072 15.5168
 2 54311356410 12.93571356284 12.93451356240 12.93411355648 12.928582111732560 12.9307
 3 54221110442 10.59001108684 10.57321108476 10.57131111814 10.603167182326640 10.5797
 4 43331103788 10.52651106765 10.55491104749 10.53571104251 10.531066905856160 10.5361
 5 6322591593  5.6419591058  5.6368591509  5.6411591979  5.645635830574208  5.6425
 6 6421492315  4.6951492658  4.6984492465  4.6965492151  4.693529858811840  4.7021
 7 6331362785  3.4598361813  3.4505362060  3.4529360632  3.439321896462016  3.4482
 8 5521332861  3.1744333835  3.1837332737  3.1732332932  3.175120154697992  3.1739
 9 4441313657  2.9913313840  2.9930314062  2.9951313079  2.985819007345500  2.9932
10 7321196988  1.8786196959  1.8783197519  1.8837197244  1.881111943524736  1.8808
11 6430138972  1.3253139520  1.3306139214  1.3276138877  1.32448421716160  1.3262
12 5440130235  1.2420130779  1.2472130410  1.2437130261  1.24237895358900  1.2433
13 553093753  0.894193380  0.890593893  0.895493551  0.89225684658408  0.8952
14 651174236  0.708074117  0.706873928  0.705074188  0.70754478821776  0.7053
15 652068335  0.651768212  0.650568740  0.655668883  0.65694134297024  0.6511
16 722253515  0.510454263  0.517553794  0.513054042  0.51543257324928  0.5130
17 741141127  0.392241171  0.392641333  0.394241300  0.39392488234320  0.3918
18 742037996  0.362438171  0.364038064  0.363038209  0.36442296831680  0.3617
19 733027765  0.264827613  0.263328020  0.267227773  0.26491684343232  0.2652
20 822120209  0.192720307  0.193720380  0.194420215  0.19281221496848  0.1924
21 831112389  0.118212148  0.115912438  0.118612387  0.1181746470296  0.1176
22 751011258  0.107411330  0.108111355  0.108311183  0.1066689049504  0.1085
23 832011244  0.107211365  0.108411512  0.109811209  0.1069689049504  0.1085
24 66107519  0.07177535  0.07197519  0.07177469  0.0712459366336  0.0723
25 84104599  0.04394815  0.04594808  0.04594875  0.0465287103960  0.0452
26 92111946  0.01861822  0.01741932  0.01841875  0.0179113101560  0.0178
27 93101037  0.00991029  0.00981100  0.01051059  0.010163800880  0.0100
28 9220900  0.0086824  0.0079834  0.0080857  0.008252200720  0.0082
29 7600584  0.0056603  0.0058572  0.0055570  0.005435335872  0.0056
30 8500340  0.0032336  0.0032361  0.0034299  0.002919876428  0.0031
31 A210119  0.0011111  0.0011117  0.0011115  0.00116960096  0.0011
32 940088  0.0008102  0.0010113  0.001198  0.00096134700  0.0010
33 A11141  0.000444  0.000448  0.000545  0.00042513368  0.0004
34 A30018  0.000228  0.000323  0.000215  0.0001981552  0.0002
35 B1102  0.00005  0.00003  0.00004  0.0000158184  0.0000
36 B2000003  0.000073008  0.0000
37 C10000002028  0.0000
38 D00000004  0.0000
U = 3910485760  3.694710485760  3.697210485760  3.698510485760  3.6952635013559600  3.6954

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Controls = C

Ace = 2   King = 1

ValueNorthSouthWestEastTheoretical
0856754  8.1706856706  8.1702857719  8.1798857590  8.178651915526432  8.1755
11392766 13.28251393604 13.29041393987 13.29411393860 13.292984362730452 13.2852
22152590 20.52872152935 20.53202152360 20.52652154171 20.5438130378765244 20.5317
32189565 20.88132190897 20.89402189407 20.87982187463 20.8613132634453224 20.8869
41756618 16.75241755215 16.73901754419 16.73141753583 16.7235106275127972 16.7359
51169960 11.15761169953 11.15751170323 11.16111171879 11.175970893050800 11.1640
6597494  5.6981596788  5.6914596828  5.6918597608  5.699236155455908  5.6937
7257659  2.4572257336  2.4541258193  2.4623257162  2.452515596471176  2.4561
885720  0.817585853  0.818885989  0.820185983  0.82005192436964  0.8177
921860  0.208521754  0.207521913  0.209021727  0.20721322059596  0.2082
104303  0.04104229  0.04034168  0.03974232  0.0404258159616  0.0407
11453  0.0043473  0.0045434  0.0041488  0.004728236208  0.0044
1218  0.000217  0.000220  0.000214  0.00011086008  0.0002
U = 1310485760  3.000510485760  2.999810485760  2.999910485760  2.9998635013559600  3.0000

TopMain

High-card points = P

Ace = 4   King = 3   Queen = 2   Jack = 1

ValueNorthSouthWestEastTheoretical
037605  0.358638376  0.366038182  0.364138570  0.36782310789600  0.3639
182706  0.788782735  0.789082946  0.791082456  0.78645006710800  0.7884
2142734  1.3612142123  1.3554142009  1.3543142453  1.35858611542576  1.3561
3258328  2.4636258455  2.4648258324  2.4636258087  2.461315636342960  2.4624
4402481  3.8384403476  3.8478402833  3.8417403572  3.848824419055136  3.8454
5542666  5.1753544801  5.1956545076  5.1982544340  5.191232933031040  5.1862
6686285  6.5449686369  6.5457688484  6.5659686778  6.549641619399184  6.5541
7842502  8.0347843358  8.0429840936  8.0198842741  8.037050979441968  8.0281
8932930  8.8971931369  8.8822932061  8.8888933471  8.902356466608128  8.8922
9981535  9.3606979077  9.3372980677  9.3525979811  9.344259413313872  9.3562
10985863  9.4019986975  9.4125985305  9.3966984595  9.389859723754816  9.4051
11938398  8.9493938437  8.9496937307  8.9389937353  8.939356799933520  8.9447
12841330  8.0235841934  8.0293841266  8.0229841403  8.024250971682080  8.0269
13724203  6.9065725171  6.9158725128  6.9154726508  6.928543906944752  6.9143
14596818  5.6917597396  5.6972597507  5.6983596982  5.693336153374224  5.6933
15463878  4.4239462244  4.4083464179  4.4268463383  4.419228090962724  4.4237
16348043  3.3192347151  3.3107347379  3.3129346578  3.305221024781756  3.3109
17248525  2.3701247395  2.3593247150  2.3570248130  2.366414997082848  2.3617
18168767  1.6095168497  1.6069168421  1.6062168544  1.607410192504020  1.6051
19108910  1.0386109134  1.0408108647  1.0361108401  1.03386579838440  1.0362
2067116  0.640167499  0.643767635  0.645068010  0.64864086538404  0.6435
2139688  0.378539450  0.376239804  0.379639365  0.37542399507844  0.3779
2221992  0.209721895  0.208822094  0.210721732  0.20731333800036  0.2100
2311797  0.112511862  0.113111741  0.112011789  0.1124710603628  0.1119
245830  0.05565831  0.05565933  0.05665888  0.0562354993864  0.0559
252719  0.02592735  0.02612774  0.02652810  0.0268167819892  0.0264
261295  0.01241205  0.01151202  0.01151198  0.011474095248  0.0117
27520  0.0050517  0.0049454  0.0043528  0.005031157940  0.0049
28193  0.0018171  0.0016206  0.0020179  0.001711790760  0.0019
2967  0.000681  0.000875  0.000775  0.00074236588  0.0007
3026  0.000231  0.000319  0.000220  0.00021396068  0.0002
317  0.000110  0.00014  0.00006  0.0001388196  0.0001
322  0.000002  0.00003  0.0000109156  0.0000
331  0.0000001  0.000022360  0.0000
3400004484  0.0000
350000624  0.0000
36000060  0.0000
3700004  0.0000
U = 3810485760 10.002110485760  9.998910485760  9.999810485760  9.9991635013559600 10.0000

TopMain

Revalued points = R

High-card points: +3 for each void
+2 for each singleton except K Q J (+1 for J)
+1 for each doubleton except KQ KJ QJ Qx Jx
+1 for any combination of four aces and tens

ValueNorthSouthWestEastTheoretical
04749  0.04534833  0.04614949  0.04724870  0.0464293805568  0.0463
128911  0.275729576  0.282128999  0.276629290  0.27931766279872  0.2781
273519  0.701173671  0.702673934  0.705173504  0.70104460756944  0.7025
3136297  1.2998135924  1.2963136116  1.2981136020  1.29728243807120  1.2982
4230352  2.1968230713  2.2003229849  2.1920230177  2.195113933491492  2.1942
5358334  3.4173359606  3.4295360647  3.4394359948  3.432721764214176  3.4274
6501133  4.7792502515  4.7924501822  4.7857503150  4.798430423163944  4.7909
7642844  6.1306642841  6.1306644114  6.1427643212  6.134138944701748  6.1329
8778653  7.4258778124  7.4208777624  7.4160778662  7.425947115157372  7.4196
9886130  8.4508884624  8.4364885676  8.4465885942  8.449053631235236  8.4457
10946225  9.0239946036  9.0221944461  9.0071945625  9.018257295091856  9.0227
11960244  9.1576960736  9.1623960241  9.1576958517  9.141158143902808  9.1563
12928493  8.8548930289  8.8719927484  8.8452927110  8.841656245617636  8.8574
13854502  8.1492855400  8.1577855158  8.1554855523  8.158951805296432  8.1581
14752556  7.1769750445  7.1568752438  7.1758752372  7.175245528936116  7.1698
15631900  6.0263631543  6.0229633283  6.0395632524  6.032238297308552  6.0309
16509232  4.8564508334  4.8479509275  4.8568509038  4.854630847863460  4.8578
17394676  3.7639394112  3.7585392429  3.7425393611  3.753823818563824  3.7509
18291956  2.7843291016  2.7753291349  2.7785291800  2.782817638216924  2.7776
19206338  1.9678206830  1.9725206781  1.9720206900  1.973212512959412  1.9705
20141691  1.3513141783  1.3521141535  1.3498140675  1.34168546506844  1.3459
2192380  0.881092391  0.881192665  0.883792288  0.88015599172640  0.8817
2257852  0.551757686  0.550158302  0.556058080  0.55393509161412  0.5526
2334687  0.330835004  0.333834518  0.329234958  0.33342112451680  0.3327
2420226  0.192920085  0.191520225  0.192920238  0.19301215549644  0.1914
2511031  0.105210914  0.104111026  0.105210872  0.1037665258884  0.1048
265733  0.05475701  0.05445732  0.05475806  0.0554346309380  0.0545
272853  0.02722785  0.02662874  0.02742829  0.0270171594884  0.0270
281326  0.01261323  0.01261331  0.01271298  0.012479694360  0.0126
29571  0.0054554  0.0053564  0.0054578  0.005535006360  0.0055
30225  0.0021228  0.0022234  0.0022210  0.002014392632  0.0023
3197  0.000990  0.000987  0.000893  0.00095429168  0.0009
3225  0.000237  0.000424  0.000228  0.00031895604  0.0003
3315  0.000111  0.000111  0.00017  0.0001574548  0.0001
342  0.000003  0.00002  0.0000153448  0.0000
351  0.0000003  0.000031924  0.0000
361  0.00000005172  0.0000
370000508  0.0000
38000016  0.0000
U = 3910485760 11.370510485760 11.367110485760 11.368310485760 11.3676635013559600 11.3682

TopMain

Playing half-tricks = Y

1  K Qx Kx JTx Qxx
2  A KJ KQ Ax QJx Kxx Axx
3  AJ AQ KJT KQx AJx AQx
  4  AK KQJ AQT AKx
  5  AQJ AKJ
  6  AKQ
+2 for each card over three in any suit   Refinements

ValueNorthSouthWestEastTheoretical
216616  0.158516993  0.162117014  0.162316823  0.16041022787584  0.1611
330442  0.290330386  0.289830353  0.289530229  0.28831834835968  0.2889
4136275  1.2996137289  1.3093136683  1.3035136787  1.30458288385280  1.3052
5224357  2.1396224615  2.1421224820  2.1441224521  2.141213587961408  2.1398
6493128  4.7028494109  4.7122494527  4.7162494001  4.711229907404912  4.7097
7683845  6.5217684736  6.5302683178  6.5153685522  6.537641453445520  6.5280
81015071  9.68051015140  9.68111015736  9.68681016362  9.692861513033480  9.6869
91173268 11.18921172549 11.18231171506 11.17241172166 11.178670986532496 11.1787
101323913 12.62581324001 12.62671324474 12.63121323510 12.622080169517920 12.6249
111275552 12.16461274278 12.15251275087 12.16021274548 12.155077238005980 12.1632
121167899 11.13801166770 11.12721166371 11.12341167482 11.134070723648784 11.1373
13948804  9.0485948528  9.0459948768  9.0482947995  9.040857473116632  9.0507
14735569  7.0149733340  6.9937734359  7.0034733395  6.994244455847496  7.0008
15508991  4.8541509922  4.8630509357  4.8576509217  4.856330812461108  4.8523
16338565  3.2288338409  3.2273338406  3.2273338457  3.227820488020544  3.2264
17199287  1.9005200078  1.9081200306  1.9103200091  1.908212080979332  1.9025
18113260  1.0801114197  1.0891113734  1.0847113773  1.08506865130592  1.0811
1956482  0.538756347  0.537456865  0.542356146  0.53543412850548  0.5374
2026884  0.256426696  0.254626796  0.255527317  0.26051635279380  0.2575
2111079  0.105711057  0.105410962  0.104511117  0.1060673249156  0.1060
224496  0.04294308  0.04114455  0.04254364  0.0416269155616  0.0424
231416  0.01351470  0.01401434  0.01371380  0.013286893416  0.0137
24443  0.0042421  0.0040456  0.0043440  0.004227926304  0.0044
2589  0.0008101  0.001089  0.000893  0.00095652256  0.0009
2629  0.000320  0.000224  0.000224  0.00021437888  0.0002
U = 2510485760 10.738510485760 10.736810485760 10.737910485760 10.7369635013559600 10.7371

TopMain

Quick half-tricks = Q

AK = 4   AQ = 3   A = 2   KQ = 2   K = 1   Refinements

ValueNorthSouthWestEastTheoretical
0897832  8.5624897424  8.5585899119  8.5747898448  8.568354389790360  8.5651
11016033  9.68961018977  9.71771017510  9.70371016669  9.695761602628572  9.7010
21876631 17.89691874874 17.88021878017 17.91021878687 17.9166113660108928 17.8988
31592319 15.18551593359 15.19551591577 15.17851592273 15.185196416902372 15.1834
41834538 17.49551833171 17.48251831333 17.46501831807 17.4695111050090784 17.4878
51205339 11.49501206064 11.50191205389 11.49551204360 11.485772935403696 11.4856
6987324  9.4159987697  9.4194988190  9.4241988933  9.431259887556392  9.4309
7514571  4.9073513606  4.8981513804  4.9000514880  4.910331112636760  4.8995
8332136  3.1675331366  3.1602330635  3.1532330187  3.148920067427740  3.1602
9131387  1.2530131734  1.2563132549  1.2641131945  1.25837980162216  1.2567
1066996  0.638966802  0.637167032  0.639367081  0.63974055992444  0.6387
1119980  0.190520234  0.193020106  0.191719856  0.18941214000280  0.1912
128312  0.07938197  0.07828238  0.07868288  0.0790502896536  0.0792
131733  0.01651608  0.01531654  0.01581701  0.016299889520  0.0157
14547  0.0052565  0.0054522  0.0050560  0.005333145000  0.0052
1564  0.000665  0.000665  0.000672  0.00073843840  0.0006
1618  0.000217  0.000220  0.000213  0.00011084160  0.0002
U = 1710485760  3.557010485760  3.556110485760  3.555810485760  3.5559635013559600  3.5563

TopMain

Losing trick count = L

0  AKQ AK A void
1  AKx AQx KQx Ax Kx x
 2  Axx Kxx Qxx xx
 3  Jxx or worse

ValueNorthSouthWestEastTheoretical
031  0.000321  0.000226  0.000228  0.00031611768  0.0003
1623  0.0059639  0.0061675  0.0064614  0.005939329036  0.0062
27652  0.07307402  0.07067465  0.07127412  0.0707454375244  0.0716
351539  0.491551453  0.490751748  0.493551733  0.49343126502788  0.4924
4232440  2.2167232698  2.2192232926  2.2214232032  2.212814069567832  2.2156
5718734  6.8544719611  6.8627720075  6.8672720421  6.870543541225304  6.8567
61568876 14.96201566411 14.93851566503 14.93931564815 14.923294901190408 14.9448
72407481 22.95952406619 22.95132407280 22.95762407893 22.9635145807470468 22.9613
82568729 24.49732568940 24.49932567394 24.48462567034 24.4811155515164912 24.4901
91843847 17.58431843987 17.58561844475 17.59031846682 17.6113111719209440 17.5932
10843601  8.0452844038  8.0494844069  8.0497844230  8.051251111464400  8.0489
11218443  2.0832219785  2.0960219048  2.0890219015  2.088713274928000  2.0905
1223764  0.226624156  0.230424076  0.229623851  0.22751451520000  0.2286
U = 1310485760  7.555810485760  7.556810485760  7.556110485760  7.5568635013559600  7.5566

TopMain

Longest suit = ls

Number of cards in longest suit

ValueNorthSouthWestEastTheoretical
43676007 35.05713678645 35.08233678154 35.07763677387 35.0703222766089260 35.0805
54651833 44.36334649156 44.33784647844 44.32534650816 44.3536281562853572 44.3397
61735755 16.55351734911 16.54541735435 16.55041734179 16.5384105080049360 16.5477
7369232  3.5213370110  3.5296370657  3.5349370321  3.531722394644272  3.5266
848780  0.465248971  0.467049498  0.472048984  0.46712963997036  0.4668
93971  0.03793777  0.03603979  0.03793889  0.0371235237860  0.0370
10178  0.0017183  0.0017188  0.0018175  0.001710455016  0.0016
112  0.00005  0.00003  0.00007  0.0001231192  0.0000
1200002028  0.0000
1300004  0.0000
U = 1010485758  4.900910485758  4.900810485758  4.901210485758  4.9009635013559600  4.9008

TopMain

Shortest suit = ss

Number of cards in shortest suit

ValueNorthSouthWestEastTheoretical
0534764  5.0999535758  5.1094536658  5.1180535310  5.105132427298180  5.1066
13204964 30.56493204998 30.56523205142 30.56663201696 30.5338194023212812 30.5542
25642244 53.80865638239 53.77045639211 53.77975644503 53.8302341657192448 53.8031
31103788 10.52651106765 10.55491104749 10.53571104251 10.531066905856160 10.5361
U = 410485760  1.697610485760  1.697710485760  1.697310485760  1.6979635013559600  1.6977

TopMain

Rank sum = j

Ace = 14   King = 13   Queen = 12   Jack = 11   Ten = 10  ...  Two = 2

ValueNorthSouthWestEastTheoretical
4100004  0.0000
42000028  0.0000
430000116  0.0000
440000392  0.0000
45001  0.00001  0.00001132  0.0000
4600002928  0.0000
4700006916  0.0000
480001  0.000015308  0.0000
4901  0.00002  0.00001  0.000031884  0.0000
503  0.00002  0.00001  0.00001  0.000063344  0.0000
5101  0.000003  0.0000120504  0.0000
521  0.00009  0.00014  0.00002  0.0000221128  0.0000
536  0.00016  0.00015  0.000010  0.0001392460  0.0001
547  0.000110  0.000116  0.000220  0.0002676704  0.0001
5519  0.000222  0.000220  0.000221  0.00021135720  0.0002
5629  0.000321  0.000226  0.000242  0.00041860884  0.0003
5752  0.000549  0.000552  0.000556  0.00052980992  0.0005
5885  0.000875  0.000788  0.000849  0.00054678132  0.0007
59115  0.0011120  0.0011146  0.0014113  0.00117200352  0.0011
60191  0.0018178  0.0017180  0.0017190  0.001810885276  0.0017
61270  0.0026275  0.0026246  0.0023281  0.002716177656  0.0025
62386  0.0037390  0.0037424  0.0040400  0.003823662872  0.0037
63565  0.0054589  0.0056553  0.0053535  0.005134088292  0.0054
64776  0.0074835  0.0080830  0.0079797  0.007648406056  0.0076
651110  0.01061116  0.01061126  0.01071138  0.010967796512  0.0107
661534  0.01461633  0.01561587  0.01511601  0.015393717520  0.0148
672104  0.02012055  0.01962211  0.02112218  0.0212127923728  0.0201
682818  0.02692918  0.02782889  0.02762820  0.0269172518652  0.0272
693789  0.03613827  0.03653884  0.03703749  0.0358229959256  0.0362
705050  0.04825038  0.04804912  0.04685060  0.0483303102568  0.0477
716509  0.06216739  0.06436537  0.06236617  0.0631395185876  0.0622
728388  0.08008542  0.08158371  0.07988540  0.0814509855124  0.0803
7310773  0.102710544  0.100610735  0.102410640  0.1015651106144  0.1025
7413846  0.132013578  0.129513566  0.129413544  0.1292823287808  0.1296
7516956  0.161716950  0.161617036  0.162517033  0.16241030988200  0.1624
7621246  0.202621256  0.202721345  0.203621136  0.20161279004300  0.2014
7725626  0.244425969  0.247725807  0.246126285  0.25071572168200  0.2476
7831589  0.301331791  0.303231707  0.302431760  0.30291915276928  0.3016
7938282  0.365137977  0.362238128  0.363638259  0.36492312858508  0.3642
8045416  0.433145774  0.436545839  0.437245595  0.43482769074104  0.4361
8154227  0.517153901  0.514054585  0.520654211  0.51703287427876  0.5177
8263843  0.608964076  0.611164280  0.613064142  0.61173870662368  0.6095
8374641  0.711874966  0.714974517  0.710674868  0.71404520438996  0.7119
8486240  0.822486714  0.827086522  0.825186903  0.82885237248656  0.8247
8599806  0.951899692  0.950799091  0.945099443  0.94846020098480  0.9480
86113051  1.0781113399  1.0815113805  1.0853112662  1.07446866482488  1.0813
87127761  1.2184128084  1.2215128025  1.2209128213  1.22277772102604  1.2239
88144251  1.3757144644  1.3794144130  1.3745144419  1.37738730942544  1.3749
89161281  1.5381161311  1.5384161286  1.5381161203  1.53749735066676  1.5330
90177652  1.6942177623  1.6939177847  1.6961178517  1.702510774819856  1.6968
91195639  1.8658195141  1.8610195555  1.8650194924  1.858911838737216  1.8643
92212353  2.0252212867  2.0301212748  2.0289213845  2.039412913893708  2.0336
93231770  2.2103231011  2.2031231389  2.2067230885  2.201913985920668  2.2025
94248181  2.3668248506  2.3699247906  2.3642247615  2.361415039510420  2.3684
95266154  2.5382265471  2.5317265393  2.5310265052  2.527716058532536  2.5288
96281275  2.6824280850  2.6784281724  2.6867280703  2.677017026650064  2.6813
97296274  2.8255295891  2.8218296252  2.8253295645  2.819517927508472  2.8232
98308806  2.9450308554  2.9426309706  2.9536310285  2.959118745417740  2.9520
99320267  3.0543321681  3.0678321495  3.0660320683  3.058319465543056  3.0654
100332062  3.1668332165  3.1678330974  3.1564332314  3.169220074598356  3.1613
101340125  3.2437339190  3.2348339143  3.2343339292  3.235720560978696  3.2379
102345685  3.2967345033  3.2905343980  3.2804345914  3.298920915379072  3.2937
103348611  3.3246348908  3.3274349438  3.3325349553  3.333621130820080  3.3276
104349407  3.3322350192  3.3397349740  3.3354349592  3.334021203133328  3.3390
105348677  3.3252348758  3.3260348574  3.3243349074  3.329021130820080  3.3276
106344145  3.2820345808  3.2979345555  3.2955345009  3.290320915379072  3.2937
107339856  3.2411339385  3.2366338801  3.2311339605  3.238720560978696  3.2379
108331328  3.1598331923  3.1655332361  3.1696331868  3.164920074598356  3.1613
109319474  3.0467321129  3.0625321721  3.0682320347  3.055119465543056  3.0654
110308546  2.9425309141  2.9482310257  2.9588309131  2.948118745417740  2.9520
111296306  2.8258296062  2.8235295849  2.8214295890  2.821817927508472  2.8232
112282283  2.6921280971  2.6795281149  2.6812280743  2.677417026650064  2.6813
113265185  2.5290265177  2.5289265042  2.5276264833  2.525616058532536  2.5288
114248344  2.3684248073  2.3658248565  2.3705248238  2.367415039510420  2.3684
115231331  2.2061231460  2.2074231097  2.2039230820  2.201313985920668  2.2025
116213012  2.0314213110  2.0324212897  2.0303212082  2.022612913893708  2.0336
117195883  1.8681196028  1.8695195211  1.8617195225  1.861811838737216  1.8643
118178148  1.6990178028  1.6978177349  1.6913178566  1.702910774819856  1.6968
119160763  1.5332160670  1.5323160890  1.5344160897  1.53449735066676  1.5330
120144346  1.3766143846  1.3718143944  1.3728144167  1.37498730942544  1.3749
121128918  1.2295127938  1.2201128651  1.2269128676  1.22717772102604  1.2239
122113693  1.0843113143  1.0790113054  1.0782113939  1.08666866482488  1.0813
12399734  0.951199347  0.947499018  0.944399979  0.95356020098480  0.9480
12486613  0.826086752  0.827386583  0.825787181  0.83145237248656  0.8247
12574929  0.714675008  0.715374903  0.714374564  0.71114520438996  0.7119
12664128  0.611663714  0.607663976  0.610163313  0.60383870662368  0.6095
12754309  0.517954435  0.519154328  0.518154208  0.51703287427876  0.5177
12845774  0.436546064  0.439345852  0.437345772  0.43652769074104  0.4361
12938424  0.366437857  0.361038236  0.364638121  0.36362312858508  0.3642
13031734  0.302631736  0.302731610  0.301531746  0.30281915276928  0.3016
13126145  0.249325879  0.246825997  0.247925919  0.24721572168200  0.2476
13221365  0.203821129  0.201521329  0.203421142  0.20161279004300  0.2014
13317134  0.163416755  0.159817032  0.162417001  0.16211030988200  0.1624
13413792  0.131513686  0.130513549  0.129213650  0.1302823287808  0.1296
13510885  0.103810708  0.102110797  0.103010616  0.1012651106144  0.1025
1368395  0.08018501  0.08118350  0.07968491  0.0810509855124  0.0803
1376436  0.06146456  0.06166537  0.06236630  0.0632395185876  0.0622
1384892  0.04674985  0.04754964  0.04734944  0.0471303102568  0.0477
1393753  0.03583782  0.03613825  0.03653794  0.0362229959256  0.0362
1402892  0.02762811  0.02682910  0.02782842  0.0271172518652  0.0272
1412108  0.02012139  0.02042038  0.01942203  0.0210127923728  0.0201
1421554  0.01481556  0.01481558  0.01491562  0.014993717520  0.0148
1431036  0.00991135  0.01081123  0.01071058  0.010167796512  0.0107
144834  0.0080795  0.0076801  0.0076806  0.007748406056  0.0076
145538  0.0051555  0.0053557  0.0053570  0.005434088292  0.0054
146410  0.0039400  0.0038375  0.0036409  0.003923662872  0.0037
147305  0.0029269  0.0026242  0.0023271  0.002616177656  0.0025
148163  0.0016158  0.0015196  0.0019179  0.001710885276  0.0017
149119  0.0011129  0.0012113  0.001194  0.00097200352  0.0011
15093  0.000969  0.000762  0.000668  0.00064678132  0.0007
15156  0.000554  0.000550  0.000553  0.00052980992  0.0005
15229  0.000325  0.000231  0.000322  0.00021860884  0.0003
15319  0.000226  0.000215  0.000120  0.00021135720  0.0002
15410  0.000118  0.000219  0.00029  0.0001676704  0.0001
1553  0.000010  0.00015  0.00004  0.0000392460  0.0001
1565  0.00003  0.00003  0.00003  0.0000221128  0.0000
1571  0.00002  0.000003  0.0000120504  0.0000
15801  0.00001  0.00002  0.000063344  0.0000
1591  0.000002  0.0000031884  0.0000
16001  0.00001  0.0000015308  0.0000
1611  0.00000006916  0.0000
16200002928  0.0000
16300001132  0.0000
1640000392  0.0000
1650000116  0.0000
166000028  0.0000
16700004  0.0000
U = 12710485760 104.007910485760 103.997310485760 103.997310485760 103.9975635013559600 104.0000

TopMain

Spade length = s

Number of spades in hand

ValueNorthSouthWestEastTheoretical
0133819  1.2762133672  1.2748134132  1.2792134815  1.28578122425444  1.2791
1839371  8.0049838607  7.9976841245  8.0227839720  8.008250840366668  8.0062
22158180 20.58202159931 20.59872156919 20.57002161730 20.6159130732371432 20.5873
33002082 28.63013001825 28.62763000002 28.61023000195 28.6121181823183256 28.6330
42502199 23.86282502915 23.86972504104 23.88102502361 23.8644151519319380 23.8608
51308557 12.47941306489 12.45971307162 12.46611306833 12.462979181063676 12.4692
6435873  4.1568436160  4.1595436038  4.1584434115  4.140026393687892  4.1564
792349  0.880792778  0.884892828  0.885392765  0.88475598661068  0.8817
812291  0.117212384  0.118112297  0.117312205  0.1164740999259  0.1167
9990  0.0094957  0.0091980  0.0093983  0.009458809465  0.0093
1049  0.000542  0.000452  0.000537  0.00042613754  0.0004
11001  0.00001  0.000057798  0.0000
120000507  0.0000
1300001  0.0000
U = 1410485760  3.250410485760  3.250410485760  3.250210485760  3.2490635013559600  3.2500

TopMain

Heart length = h

Number of hearts in hand

ValueNorthSouthWestEastTheoretical
0134075  1.2786134207  1.2799134541  1.2831133711  1.27528122425444  1.2791
1839959  8.0105840907  8.0195839482  8.0059838615  7.997750840366668  8.0062
22159366 20.59332156995 20.57072156982 20.57062159974 20.5991130732371432 20.5873
33003030 28.63913003177 28.64053002303 28.63223002833 28.6372181823183256 28.6330
42501616 23.85732500812 23.84962501896 23.85992502254 23.8634151519319380 23.8608
51307002 12.46451309004 12.48361308207 12.47601305707 12.452279181063676 12.4692
6435655  4.1547434817  4.1467436060  4.1586436398  4.161826393687892  4.1564
791766  0.875192716  0.884292846  0.885492877  0.88575598661068  0.8817
812271  0.117012125  0.115612399  0.118212345  0.1177740999259  0.1167
9964  0.0092943  0.0090999  0.0095990  0.009458809465  0.0093
1054  0.000556  0.000545  0.000456  0.00052613754  0.0004
112  0.00001  0.00000057798  0.0000
120000507  0.0000
1300001  0.0000
U = 1410485760  3.249510485760  3.249810485760  3.250510485760  3.2503635013559600  3.2500

TopMain

Diamond length = d

Number of diamonds in hand

ValueNorthSouthWestEastTheoretical
0134103  1.2789134783  1.2854134188  1.2797133935  1.27738122425444  1.2791
1839080  8.0021839750  8.0085839817  8.0091838363  7.995350840366668  8.0062
22160180 20.60112158805 20.58802157815 20.57852159923 20.5986130732371432 20.5873
33003815 28.64663001597 28.62553003898 28.64742999988 28.6101181823183256 28.6330
42498803 23.83042503624 23.87642499310 23.83532501943 23.8604151519319380 23.8608
51308206 12.47601306456 12.45931308651 12.48031310406 12.497079181063676 12.4692
6436195  4.1599435588  4.1541435784  4.1560435658  4.154826393687892  4.1564
792226  0.879591949  0.876992842  0.885492371  0.88095598661068  0.8817
812093  0.115312254  0.116912410  0.118412152  0.1159740999259  0.1167
91025  0.0098911  0.00871000  0.0095983  0.009458809465  0.0093
1034  0.000341  0.000444  0.000435  0.00032613754  0.0004
1102  0.00001  0.00003  0.000057798  0.0000
120000507  0.0000
1300001  0.0000
U = 1410485760  3.249810485760  3.249410485760  3.250210485760  3.2506635013559600  3.2500

TopMain

Club length = c

Number of clubs in hand

ValueNorthSouthWestEastTheoretical
0133797  1.2760134165  1.2795134866  1.2862133834  1.27638122425444  1.2791
1840870  8.0192839910  8.0100839230  8.0035839547  8.006550840366668  8.0062
22157605 20.57652156171 20.56282160582 20.60492159518 20.5948130732371432 20.5873
33000767 28.61753004747 28.65553003173 28.64053001795 28.6273181823183256 28.6330
42501684 23.85792499977 23.84162501844 23.85942500538 23.8470151519319380 23.8608
51308851 12.48221308417 12.47801304839 12.44391308907 12.482779181063676 12.4692
6436135  4.1593436486  4.1627435644  4.1546436047  4.158526393687892  4.1564
792892  0.885992667  0.883792141  0.878792308  0.88035598661068  0.8817
812126  0.115612208  0.116412393  0.118212283  0.1171740999259  0.1167
9992  0.0095966  0.00921000  0.0095933  0.008958809465  0.0093
1041  0.000444  0.000447  0.000447  0.00042613754  0.0004
1102  0.00001  0.00003  0.000057798  0.0000
120000507  0.0000
1300001  0.0000
U = 1410485760  3.250410485760  3.250410485760  3.249110485760  3.2501635013559600  3.2500

TopMain

Spade playing half-tricks = sy

1  K Qx Kx JTx Qxx
2  A KJ KQ Ax QJx Kxx Axx
3  AJ AQ KJT KQx AJx AQx
  4  AK KQJ AQT AKx
  5  AQJ AKJ
  6  AKQ
+2 for each spade over three     Refinements

ValueNorthSouthWestEastTheoretical
03264375 31.13153264074 31.12863265174 31.13913267702 31.1632197767203572 31.1438
11052469 10.03711052643 10.03881051344 10.02641052397 10.036463728659696 10.0358
21940573 18.50671940404 18.50511941676 18.51731939852 18.4999117497308188 18.5031
3731192  6.9732730500  6.9666729999  6.9618732701  6.987644251732564  6.9686
41154052 11.00591154341 11.00871154727 11.01231152302 10.989269892220632 11.0064
5582715  5.5572584848  5.5775583650  5.5661583246  5.562335355647184  5.5677
6630810  6.0159630229  6.0103629118  5.9997629329  6.001738137887788  6.0058
7368780  3.5170368452  3.5138368711  3.5163368764  3.516822333120524  3.5170
8302785  2.8876301402  2.8744303426  2.8937302171  2.881718324133672  2.8856
9176500  1.6832176672  1.6849176523  1.6835175936  1.677910700471262  1.6851
10132727  1.2658132616  1.2647131953  1.2584132365  1.26238001815952  1.2601
1162959  0.600463472  0.605363012  0.600963125  0.60203827056779  0.6027
1249301  0.470249435  0.471449422  0.471349123  0.46852981489082  0.4695
1314939  0.142515048  0.143515252  0.145515204  0.1450911999088  0.1436
1415057  0.143615047  0.143515247  0.145415055  0.1436907310781  0.1429
153249  0.03103229  0.03083201  0.03053147  0.0300194194611  0.0306
162569  0.02452655  0.02532612  0.02492653  0.0253158762708  0.0250
17219  0.0021208  0.0020198  0.0019216  0.002112840295  0.0020
18451  0.0043452  0.0043476  0.0045445  0.004227645475  0.0044
1912  0.00018  0.00016  0.00012  0.0000493506  0.0001
2026  0.000225  0.000232  0.000325  0.00021516827  0.0002
22001  0.0000048945  0.0000
240000468  0.0000
2600001  0.0000
U = 2410485760  2.684910485760  2.685110485760  2.684910485760  2.6828635013559600  2.6843

TopMain

Heart playing half-tricks = hy

1  K Qx Kx JTx Qxx
2  A KJ KQ Ax QJx Kxx Axx
3  AJ AQ KJT KQx AJx AQx
  4  AK KQJ AQT AKx
  5  AQJ AKJ
  6  AKQ
+2 for each heart over three     Refinements

ValueNorthSouthWestEastTheoretical
03266086 31.14783266815 31.15483263381 31.12203265481 31.1421197767203572 31.1438
11053835 10.05021052229 10.03481052756 10.03991052461 10.037163728659696 10.0358
21939468 18.49621940030 18.50161940413 18.50521941814 18.5186117497308188 18.5031
3731165  6.9729730392  6.9656729957  6.9614730179  6.963544251732564  6.9686
41153636 11.00191153934 11.00481153952 11.00491153781 11.003369892220632 11.0064
5583303  5.5628583134  5.5612585516  5.5839583470  5.564435355647184  5.5677
6628963  5.9983630227  6.0103629751  6.0058629029  5.998938137887788  6.0058
7369588  3.5247369295  3.5219368921  3.5183368680  3.516022333120524  3.5170
8302504  2.8849302610  2.8859303103  2.8906302299  2.882918324133672  2.8856
9177067  1.6886176297  1.6813176457  1.6828176585  1.684010700471262  1.6851
10131758  1.2565132194  1.2607132098  1.2598132494  1.26368001815952  1.2601
1163111  0.601962801  0.598963229  0.603063356  0.60423827056779  0.6027
1248721  0.464649296  0.470149435  0.471449259  0.46982981489082  0.4695
1315019  0.143215032  0.143415125  0.144215258  0.1455911999088  0.1436
1414968  0.142714936  0.142414999  0.143014986  0.1429907310781  0.1429
153169  0.03023243  0.03093252  0.03103260  0.0311194194611  0.0306
162686  0.02562607  0.02492684  0.02562638  0.0252158762708  0.0250
17198  0.0019191  0.0018199  0.0019207  0.002012840295  0.0020
18469  0.0045453  0.0043502  0.0048480  0.004627645475  0.0044
1911  0.00016  0.00014  0.000014  0.0001493506  0.0001
2033  0.000337  0.000426  0.000229  0.00031516827  0.0002
222  0.00001  0.00000048945  0.0000
240000468  0.0000
2600001  0.0000
U = 2410485760  2.683310485760  2.683710485760  2.685710485760  2.6843635013559600  2.6843

TopMain

Diamond playing half-tricks = dy

1  K Qx Kx JTx Qxx
2  A KJ KQ Ax QJx Kxx Axx
3  AJ AQ KJT KQx AJx AQx
  4  AK KQJ AQT AKx
  5  AQJ AKJ
  6  AKQ
+2 for each diamond over three     Refinements

ValueNorthSouthWestEastTheoretical
03266053 31.14753267607 31.16233265090 31.13833265163 31.1390197767203572 31.1438
11052720 10.03951052119 10.03381051857 10.03131050906 10.022263728659696 10.0358
21940492 18.50601939312 18.49471941383 18.51451939952 18.5008117497308188 18.5031
3730444  6.9661730934  6.9707731459  6.9757731015  6.971544251732564  6.9686
41153108 10.99691153286 10.99861153413 10.99981154826 11.013369892220632 11.0064
5583968  5.5692583807  5.5676582738  5.5574584157  5.571035355647184  5.5677
6628309  5.9920630856  6.0163629612  6.0044630363  6.011638137887788  6.0058
7369540  3.5242368549  3.5148368290  3.5123369094  3.520022333120524  3.5170
8302592  2.8857302527  2.8851303699  2.8963302139  2.881418324133672  2.8856
9177088  1.6888176896  1.6870177135  1.6893176728  1.685410700471262  1.6851
10132464  1.2633131424  1.2534131310  1.2523132182  1.26068001815952  1.2601
1163343  0.604163111  0.601963609  0.606663279  0.60353827056779  0.6027
1249131  0.468548865  0.466049201  0.469249387  0.47102981489082  0.4695
1314821  0.141315095  0.144015169  0.144715040  0.1434911999088  0.1436
1415080  0.143814880  0.141915146  0.144414923  0.1423907310781  0.1429
153207  0.03063177  0.03033240  0.03093232  0.0308194194611  0.0306
162681  0.02562656  0.02532689  0.02562669  0.0255158762708  0.0250
17227  0.0022200  0.0019210  0.0020213  0.002012840295  0.0020
18472  0.0045423  0.0040485  0.0046463  0.004427645475  0.0044
194  0.000010  0.00013  0.000011  0.0001493506  0.0001
2016  0.000224  0.000221  0.000215  0.00011516827  0.0002
2202  0.00001  0.00003  0.000048945  0.0000
240000468  0.0000
2600001  0.0000
U = 2410485760  2.684310485760  2.683110485760  2.684910485760  2.6852635013559600  2.6843

TopMain

Club playing half-tricks = cy

1  K Qx Kx JTx Qxx
2  A KJ KQ Ax QJx Kxx Axx
3  AJ AQ KJT KQx AJx AQx
  4  AK KQJ AQT AKx
  5  AQJ AKJ
  6  AKQ
+2 for each club over three     Refinements

ValueNorthSouthWestEastTheoretical
03265725 31.14443265836 31.14543266598 31.15273266605 31.1528197767203572 31.1438
11052003 10.03271051778 10.03051054770 10.05911051164 10.024763728659696 10.0358
21936531 18.46821939862 18.50001940432 18.50541940150 18.5027117497308188 18.5031
3730902  6.9704730046  6.9623731051  6.9718730604  6.967644251732564  6.9686
41154631 11.01141153598 11.00161153264 10.99841153700 11.002569892220632 11.0064
5584373  5.5730584219  5.5715582460  5.5548583499  5.564735355647184  5.5677
6629879  6.0070630446  6.0124628865  5.9973629916  6.007338137887788  6.0058
7369856  3.5272369872  3.5274369115  3.5202368844  3.517622333120524  3.5170
8303119  2.8908301835  2.8785302005  2.8801303126  2.890818324133672  2.8856
9177101  1.6890176819  1.6863176190  1.6803177140  1.689310700471262  1.6851
10132634  1.2649132025  1.2591132162  1.2604132320  1.26198001815952  1.2601
1163310  0.603863638  0.606962933  0.600262854  0.59943827056779  0.6027
1249299  0.470249157  0.468849273  0.469949387  0.47102981489082  0.4695
1315062  0.143615151  0.144514987  0.142915062  0.1436911999088  0.1436
1414842  0.141514933  0.142415025  0.143314911  0.1422907310781  0.1429
153101  0.02963235  0.03093218  0.03073209  0.0306194194611  0.0306
162673  0.02552618  0.02502691  0.02572572  0.0245158762708  0.0250
17216  0.0021219  0.0021224  0.0021195  0.001912840295  0.0020
18468  0.0045439  0.0042458  0.0044463  0.004427645475  0.0044
198  0.00018  0.00017  0.00015  0.0000493506  0.0001
2027  0.000324  0.000231  0.000331  0.00031516827  0.0002
2202  0.00001  0.00003  0.000048945  0.0000
240000468  0.0000
2600001  0.0000
U = 2410485760  2.686110485760  2.685010485760  2.682410485760  2.6846635013559600  2.6843

TopMain

Spade control map = sz

Spade stopper = 16   Half-stopper = 8   1st rd control = 4   2nd rd control = 2   3rd rd control = 1

ValueNorthSouthWestEastTheoretical
000001126300 10.74121126918 10.74711127382 10.75161127819 10.755768236672504 10.7457
000011245161 11.87481245397 11.87701244392 11.86741246071 11.883575422521980 11.8773
00011710235  6.7733709424  6.7656711446  6.7849710545  6.776343018771796  6.7745
00111133819  1.2762133672  1.2748134132  1.2792134815  1.28578122425444  1.2791
01000630682  6.0147630188  6.0099630101  6.0091629613  6.004538199411536  6.0155
01001277661  2.6480276929  2.6410276288  2.6349277072  2.642416760560440  2.6394
0101164457  0.614764510  0.615264945  0.619464354  0.61373910797436  0.6159
10000553209  5.2758553352  5.2772552941  5.2733553330  5.277033507777940  5.2767
100011181978 11.27221181035 11.26321183018 11.28211181949 11.271971592376960 11.2741
100101183894 11.29051183127 11.28321182471 11.27691179151 11.245371592376960 11.2741
10011757824  7.2272758686  7.2354757777  7.2267759210  7.240445896476704  7.2276
101001182696 11.27911182718 11.27931182456 11.27681182464 11.276971592376960 11.2741
10101757220  7.2214758872  7.2372756764  7.2171758189  7.230745896476704  7.2276
10110452800  4.3182452577  4.3161452792  4.3182452921  4.319427459860220  4.3243
10111227824  2.1727228355  2.1778228855  2.1825228257  2.176813804676016  2.1739
U = 1510485760 12.586310485760 12.588010485760 12.585310485760 12.5829635013559600 12.5855

TopMain

Heart control map = hz

Heart stopper = 16   Half-stopper = 8   1st rd control = 4   2nd rd control = 2   3rd rd control = 1

ValueNorthSouthWestEastTheoretical
000001127023 10.74811128455 10.76181128206 10.75941126494 10.743168236672504 10.7457
000011244980 11.87311244209 11.86571243135 11.85551246223 11.884975422521980 11.8773
00011710787  6.7786712004  6.7902709773  6.7689709805  6.769243018771796  6.7745
00111134075  1.2786134207  1.2799134541  1.2831133711  1.27528122425444  1.2791
01000630773  6.0155631681  6.0242629573  6.0041631335  6.020938199411536  6.0155
01001276697  2.6388276360  2.6356277017  2.6418276343  2.635416760560440  2.6394
0101164482  0.614964455  0.614764727  0.617364353  0.61373910797436  0.6159
10000552780  5.2717552541  5.2694552728  5.2712553740  5.280933507777940  5.2767
100011182729 11.27941181311 11.26591183694 11.28861181498 11.267671592376960 11.2741
100101182100 11.27341182455 11.27681180946 11.26241182565 11.277871592376960 11.2741
10011758365  7.2323758472  7.2334757878  7.2277758054  7.229445896476704  7.2276
101001181318 11.26591180605 11.25911183210 11.28401183053 11.282571592376960 11.2741
10101758220  7.2309758384  7.2325758294  7.2317757191  7.221145896476704  7.2276
10110453510  4.3250452664  4.3169452888  4.3191453652  4.326427459860220  4.3243
10111227921  2.1736227957  2.1740229150  2.1853227743  2.171913804676016  2.1739
U = 1510485760 12.585410485760 12.581610485760 12.588610485760 12.5859635013559600 12.5855

TopMain

Diamond control map = dz

Diamond stopper = 16   Half-stopper = 8   1st rd control = 4   2nd rd control = 2   3rd rd control = 1

ValueNorthSouthWestEastTheoretical
000001126502 10.74321126574 10.74381127256 10.75041127702 10.754668236672504 10.7457
000011245465 11.87771246162 11.88431244297 11.86651246488 11.887475422521980 11.8773
00011710229  6.7733710461  6.7755710748  6.7782709328  6.764743018771796  6.7745
00111134103  1.2789134783  1.2854134188  1.2797133935  1.27738122425444  1.2791
01000630542  6.0133631045  6.0181630824  6.0160629660  6.004938199411536  6.0155
01001276816  2.6399277122  2.6428276830  2.6401276305  2.635016760560440  2.6394
0101164120  0.611564878  0.618764416  0.614364310  0.61333910797436  0.6159
10000552465  5.2687553772  5.2812553041  5.2742553932  5.282733507777940  5.2767
100011181768 11.27021181460 11.26731181689 11.26951182374 11.276071592376960 11.2741
100101182157 11.27391182834 11.28041183584 11.28751181586 11.268571592376960 11.2741
10011759480  7.2430757299  7.2222756555  7.2151758195  7.230745896476704  7.2276
101001181680 11.26941181628 11.26891182392 11.27621182462 11.276871592376960 11.2741
10101758473  7.2334757066  7.2199758329  7.2320758864  7.237145896476704  7.2276
10110453353  4.3235453052  4.3206453420  4.3242452438  4.314827459860220  4.3243
10111228607  2.1802227624  2.1708228191  2.1762228181  2.176113804676016  2.1739
U = 1510485760 12.587310485760 12.582310485760 12.586110485760 12.5855635013559600 12.5855

TopMain

Club control map = cz

Club stopper = 16   Half-stopper = 8   1st rd control = 4   2nd rd control = 2   3rd rd control = 1

ValueNorthSouthWestEastTheoretical
000001126406 10.74221128250 10.75981126319 10.74141127415 10.751968236672504 10.7457
000011244589 11.86931244468 11.86821246227 11.88491245749 11.880475422521980 11.8773
00011711336  6.7838710406  6.7750710244  6.7734711026  6.780943018771796  6.7745
00111133797  1.2760134165  1.2795134866  1.2862133834  1.27638122425444  1.2791
01000629237  6.0009630724  6.0151630921  6.0169630288  6.010938199411536  6.0155
01001277203  2.6436276186  2.6339277877  2.6500277187  2.643516760560440  2.6394
0101164634  0.616464743  0.617464414  0.614364091  0.61123910797436  0.6159
10000552665  5.2706552791  5.2718552925  5.2731554141  5.284733507777940  5.2767
100011182819 11.28021181077 11.26361183008 11.28201180816 11.261171592376960 11.2741
100101182662 11.27871183838 11.29001182029 11.27271182421 11.276471592376960 11.2741
10011757710  7.2261756872  7.2181757355  7.2227757549  7.224645896476704  7.2276
101001182075 11.27311182229 11.27461181461 11.26731181890 11.271471592376960 11.2741
10101757956  7.2284758423  7.2329757717  7.2262757904  7.227945896476704  7.2276
10110454232  4.3319454210  4.3317452646  4.3168453449  4.324427459860220  4.3243
10111228439  2.1786227378  2.1684227751  2.1720228000  2.174413804676016  2.1739
U = 1510485760 12.588110485760 12.585210485760 12.582810485760 12.5836635013559600 12.5855

TopMain

Spade quality map = sq

Spade Ace = 64   King = 32   Queen = 16   Jack = 8   Ten = 4   Nine = 2   Eight = 1

ValueNorthSouthWestEastTheoretical
00000001204418 11.48621203784 11.48021205221 11.49391207711 11.517673006209045 11.4968
0000001474623  4.5264475713  4.5368475241  4.5323475197  4.531828760021745  4.5290
0000010474825  4.5283475019  4.5301474883  4.5288475764  4.537228760021745  4.5290
0000011167528  1.5977167749  1.5998167687  1.5992167754  1.599810150595910  1.5985
0000100476221  4.5416474340  4.5237474858  4.5286474377  4.524028760021745  4.5290
0000101167339  1.5959167642  1.5988167974  1.6019166881  1.591510150595910  1.5985
0000110168004  1.6022167726  1.5996167865  1.6009168151  1.603610150595910  1.5985
000011152586  0.501552485  0.500552709  0.502752640  0.50203190187286  0.5024
0001000474168  4.5220474850  4.5285474833  4.5284474586  4.526028760021745  4.5290
0001001167147  1.5940167675  1.5991167539  1.5978167506  1.597510150595910  1.5985
0001010167430  1.5967167612  1.5985167539  1.5978167770  1.600010150595910  1.5985
000101153018  0.505652394  0.499752500  0.500752694  0.50253190187286  0.5024
0001100167702  1.5993167452  1.5969167271  1.5952167259  1.595110150595910  1.5985
000110152227  0.498152920  0.504752391  0.499652452  0.50023190187286  0.5024
000111053045  0.505952625  0.501952642  0.502052613  0.50183190187286  0.5024
000111114658  0.139814617  0.139414646  0.139714566  0.1389886163135  0.1396
0010000475093  4.5308474210  4.5224475058  4.5305474589  4.526028760021745  4.5290
0010001167507  1.5975168782  1.6096167842  1.6007167258  1.595110150595910  1.5985
0010010167898  1.6012167344  1.5959167164  1.5942167540  1.597810150595910  1.5985
001001152536  0.501052580  0.501452490  0.500652469  0.50043190187286  0.5024
0010100167631  1.5987167518  1.5976167636  1.5987168347  1.605510150595910  1.5985
001010152453  0.500252432  0.500052652  0.502152673  0.50233190187286  0.5024
001011052706  0.502652489  0.500653266  0.508052478  0.50053190187286  0.5024
001011114665  0.139914574  0.139014667  0.139914685  0.1400886163135  0.1396
0011000167773  1.6000167258  1.5951167717  1.5995167421  1.596710150595910  1.5985
001100152865  0.504252600  0.501652653  0.502152903  0.50453190187286  0.5024
001101052775  0.503352149  0.497352424  0.500052836  0.50393190187286  0.5024
001101114566  0.138914682  0.140014746  0.140614519  0.1385886163135  0.1396
001110052698  0.502652884  0.504352716  0.502752588  0.50153190187286  0.5024
001110114623  0.139514613  0.139414748  0.140614666  0.1399886163135  0.1396
001111014677  0.140014638  0.139614504  0.138314715  0.1403886163135  0.1396
00111113640  0.03473559  0.03393618  0.03453606  0.0344215553195  0.0339
0100000475062  4.5305475505  4.5348475689  4.5365475177  4.531628760021745  4.5290
0100001167365  1.5961167429  1.5967167611  1.5985168150  1.603610150595910  1.5985
0100010167900  1.6012167434  1.5968167406  1.5965166967  1.592310150595910  1.5985
010001152667  0.502352584  0.501552647  0.502152354  0.49933190187286  0.5024
0100100167717  1.5995167687  1.5992167313  1.5956167062  1.593210150595910  1.5985
010010152511  0.500852831  0.503852768  0.503252259  0.49843190187286  0.5024
010011052719  0.502853090  0.506352838  0.503951958  0.49553190187286  0.5024
010011114704  0.140214696  0.140214552  0.138814725  0.1404886163135  0.1396
0101000168362  1.6056167926  1.6015167751  1.5998166981  1.592510150595910  1.5985
010100152648  0.502152625  0.501952789  0.503452516  0.50083190187286  0.5024
010101053085  0.506352640  0.502052298  0.498853021  0.50563190187286  0.5024
010101114643  0.139614567  0.138914686  0.140114698  0.1402886163135  0.1396
010110052774  0.503352555  0.501252580  0.501452617  0.50183190187286  0.5024
010110114593  0.139214757  0.140714653  0.139714629  0.1395886163135  0.1396
010111014651  0.139714631  0.139514612  0.139414655  0.1398886163135  0.1396
01011113513  0.03353585  0.03423609  0.03443615  0.0345215553195  0.0339
0110000167551  1.5979167768  1.6000167181  1.5944167709  1.599410150595910  1.5985
011000152593  0.501652647  0.502152550  0.501252871  0.50423190187286  0.5024
011001052737  0.502952870  0.504252888  0.504452547  0.50113190187286  0.5024
011001114466  0.138014693  0.140114832  0.141414688  0.1401886163135  0.1396
011010052449  0.500252299  0.498852542  0.501152679  0.50243190187286  0.5024
011010114491  0.138214789  0.141014739  0.140614703  0.1402886163135  0.1396
011011014573  0.139014802  0.141214621  0.139414583  0.1391886163135  0.1396
01101113536  0.03373603  0.03443534  0.03373610  0.0344215553195  0.0339
011100052931  0.504852769  0.503252970  0.505252849  0.50403190187286  0.5024
011100114805  0.141214807  0.141214916  0.142314480  0.1381886163135  0.1396
011101015000  0.143114536  0.138614666  0.139914533  0.1386886163135  0.1396
01110113524  0.03363625  0.03463584  0.03423607  0.0344215553195  0.0339
011110014817  0.141314732  0.140514741  0.140614691  0.1401886163135  0.1396
01111013542  0.03383515  0.03353457  0.03303533  0.0337215553195  0.0339
01111103531  0.03373568  0.03403447  0.03293482  0.0332215553195  0.0339
0111111715  0.0068758  0.0072723  0.0069766  0.007345379620  0.0071
1000000475550  4.5352475787  4.5375475232  4.5322475001  4.530028760021745  4.5290
1000001167528  1.5977167879  1.6010167408  1.5965167257  1.595110150595910  1.5985
1000010167321  1.5957166756  1.5903167917  1.6014167353  1.596010150595910  1.5985
100001152803  0.503652483  0.500553175  0.507152818  0.50373190187286  0.5024
1000100167259  1.5951167753  1.5998167172  1.5943168650  1.608410150595910  1.5985
100010152635  0.502053006  0.505552799  0.503552299  0.49883190187286  0.5024
100011052731  0.502952529  0.501053033  0.505852696  0.50253190187286  0.5024
100011114639  0.139614623  0.139514744  0.140614750  0.1407886163135  0.1396
1001000167584  1.5982167809  1.6004167395  1.5964168128  1.603410150595910  1.5985
100100152588  0.501552703  0.502652539  0.501152998  0.50543190187286  0.5024
100101052888  0.504452924  0.504752773  0.503352434  0.50003190187286  0.5024
100101114680  0.140014512  0.138414775  0.140914726  0.1404886163135  0.1396
100110052644  0.502152882  0.504352227  0.498152727  0.50283190187286  0.5024
100110114650  0.139714937  0.142514706  0.140214580  0.1390886163135  0.1396
100111014676  0.140014443  0.137714617  0.139414628  0.1395886163135  0.1396
10011113566  0.03403541  0.03383555  0.03393572  0.0341215553195  0.0339
1010000167430  1.5967167573  1.5981167674  1.5991167807  1.600310150595910  1.5985
101000152932  0.504853097  0.506452263  0.498452387  0.49963190187286  0.5024
101001052350  0.499252596  0.501652432  0.500052737  0.50293190187286  0.5024
101001114394  0.137314673  0.139914583  0.139114668  0.1399886163135  0.1396
101010053127  0.506752629  0.501952862  0.504152414  0.49993190187286  0.5024
101010114719  0.140414655  0.139814740  0.140614534  0.1386886163135  0.1396
101011014535  0.138614846  0.141614312  0.136514574  0.1390886163135  0.1396
10101113478  0.03323550  0.03393563  0.03403557  0.0339215553195  0.0339
101100052640  0.502052951  0.505052150  0.497352841  0.50393190187286  0.5024
101100114453  0.137814620  0.139414630  0.139514778  0.1409886163135  0.1396
101101014643  0.139614526  0.138514500  0.138314624  0.1395886163135  0.1396
10110113414  0.03263572  0.03413630  0.03463535  0.0337215553195  0.0339
101110014816  0.141314539  0.138714682  0.140014568  0.1389886163135  0.1396
10111013583  0.03423562  0.03403626  0.03463483  0.0332215553195  0.0339
10111103576  0.03413567  0.03403630  0.03463577  0.0341215553195  0.0339
1011111763  0.0073740  0.0071730  0.0070773  0.007445379620  0.0071
1100000166848  1.5912167699  1.5993167472  1.5971167120  1.593810150595910  1.5985
110000152720  0.502852312  0.498952695  0.502552746  0.50303190187286  0.5024
110001052748  0.503052425  0.500052746  0.503052811  0.50363190187286  0.5024
110001114501  0.138314362  0.137014571  0.139014552  0.1388886163135  0.1396
110010052868  0.504252498  0.500752830  0.503852753  0.50313190187286  0.5024
110010114671  0.139914724  0.140414433  0.137614672  0.1399886163135  0.1396
110011014770  0.140914797  0.141114371  0.137114676  0.1400886163135  0.1396
11001113542  0.03383643  0.03473567  0.03403624  0.0346215553195  0.0339
110100052616  0.501852484  0.500552655  0.502252665  0.50233190187286  0.5024
110100114595  0.139214570  0.139014821  0.141314620  0.1394886163135  0.1396
110101014617  0.139414770  0.140914608  0.139314560  0.1389886163135  0.1396
11010113555  0.03393477  0.03323590  0.03423566  0.0340215553195  0.0339
110110014594  0.139214721  0.140414472  0.138014429  0.1376886163135  0.1396
11011013493  0.03333571  0.03413478  0.03323596  0.0343215553195  0.0339
11011103640  0.03473643  0.03473623  0.03463531  0.0337215553195  0.0339
1101111761  0.0073764  0.0073763  0.0073768  0.007345379620  0.0071
111000052547  0.501152530  0.501052928  0.504852474  0.50043190187286  0.5024
111000114474  0.138014651  0.139714622  0.139414675  0.1400886163135  0.1396
111001014747  0.140614566  0.138914607  0.139314646  0.1397886163135  0.1396
11100113573  0.03413610  0.03443588  0.03423570  0.0340215553195  0.0339
111010014579  0.139014779  0.140914505  0.138314478  0.1381886163135  0.1396
11101013631  0.03463605  0.03443518  0.03363480  0.0332215553195  0.0339
11101103443  0.03283491  0.03333616  0.03453554  0.0339215553195  0.0339
1110111723  0.0069728  0.0069821  0.0078809  0.007745379620  0.0071
111100014434  0.137714808  0.141214702  0.140214793  0.1411886163135  0.1396
11110013600  0.03433591  0.03423548  0.03383641  0.0347215553195  0.0339
11110103636  0.03473571  0.03413600  0.03433609  0.0344215553195  0.0339
1111011749  0.0071770  0.0073757  0.0072738  0.007045379620  0.0071
11111003565  0.03403474  0.03313603  0.03443562  0.0340215553195  0.0339
1111101753  0.0072750  0.0072757  0.0072772  0.007445379620  0.0071
1111110822  0.0078747  0.0071784  0.0075744  0.007145379620  0.0071
1111111130  0.0012128  0.0012142  0.0014123  0.00128145060  0.0013
U = 12810485760 31.748610485760 31.760710485760 31.747210485760 31.7435635013559600 31.7500

TopMain

Heart quality map = hq

Heart Ace = 64   King = 32   Queen = 16   Jack = 8   Ten = 4   Nine = 2   Eight = 1

ValueNorthSouthWestEastTheoretical
00000001204885 11.49071206911 11.51001204481 11.48681203733 11.479773006209045 11.4968
0000001475228  4.5321475273  4.5326474938  4.5294474756  4.527628760021745  4.5290
0000010474381  4.5240475870  4.5382475849  4.5380475421  4.534028760021745  4.5290
0000011167781  1.6001167782  1.6001167519  1.5976168029  1.602410150595910  1.5985
0000100473938  4.5198475615  4.5358474678  4.5269474560  4.525828760021745  4.5290
0000101167646  1.5988167778  1.6001167789  1.6002168573  1.607610150595910  1.5985
0000110167338  1.5959167060  1.5932167066  1.5933167339  1.595910150595910  1.5985
000011152526  0.500952253  0.498352402  0.499752642  0.50203190187286  0.5024
0001000475125  4.5311473857  4.5191475216  4.5320475493  4.534728760021745  4.5290
0001001168170  1.6038167004  1.5927167082  1.5934167765  1.599910150595910  1.5985
0001010168014  1.6023167648  1.5988167066  1.5933167641  1.598710150595910  1.5985
000101152663  0.502253219  0.507552752  0.503152741  0.50303190187286  0.5024
0001100168575  1.6077167735  1.5996167758  1.5999167658  1.598910150595910  1.5985
000110152470  0.500452808  0.503652221  0.498052728  0.50293190187286  0.5024
000111052546  0.501152798  0.503552616  0.501852962  0.50513190187286  0.5024
000111114516  0.138414575  0.139014601  0.139214584  0.1391886163135  0.1396
0010000474612  4.5263474987  4.5298475639  4.5360474838  4.528428760021745  4.5290
0010001167274  1.5952167637  1.5987167841  1.6007167518  1.597610150595910  1.5985
0010010167900  1.6012167373  1.5962167465  1.5971167124  1.593810150595910  1.5985
001001152599  0.501653027  0.505752753  0.503152922  0.50473190187286  0.5024
0010100168163  1.6037167723  1.5995167516  1.5976167302  1.595510150595910  1.5985
001010152541  0.501152353  0.499352494  0.500652803  0.50363190187286  0.5024
001011053173  0.507152840  0.503952780  0.503352825  0.50383190187286  0.5024
001011114726  0.140414643  0.139614652  0.139714644  0.1397886163135  0.1396
0011000167624  1.5986167141  1.5940167768  1.6000167086  1.593510150595910  1.5985
001100152509  0.500852635  0.502052941  0.504952573  0.50143190187286  0.5024
001101053110  0.506552670  0.502352833  0.503952593  0.50163190187286  0.5024
001101114604  0.139314477  0.138114586  0.139114450  0.1378886163135  0.1396
001110052440  0.500152592  0.501652585  0.501552578  0.50143190187286  0.5024
001110114740  0.140614551  0.138814601  0.139214686  0.1401886163135  0.1396
001111014549  0.138814446  0.137814719  0.140415023  0.1433886163135  0.1396
00111113478  0.03323487  0.03333460  0.03303559  0.0339215553195  0.0339
0100000475077  4.5307474576  4.5259474515  4.5253475255  4.532428760021745  4.5290
0100001167942  1.6016168068  1.6028167304  1.5955167129  1.593910150595910  1.5985
0100010167925  1.6015167139  1.5940166867  1.5914167579  1.598210150595910  1.5985
010001152609  0.501752576  0.501452850  0.504052483  0.50053190187286  0.5024
0100100167422  1.5967167649  1.5988168015  1.6023168158  1.603710150595910  1.5985
010010152406  0.499852573  0.501452998  0.505452443  0.50013190187286  0.5024
010011052427  0.500052770  0.503352422  0.499952492  0.50063190187286  0.5024
010011114458  0.137914419  0.137514610  0.139314665  0.1399886163135  0.1396
0101000167805  1.6003167580  1.5982167184  1.5944167926  1.601510150595910  1.5985
010100152759  0.503152905  0.504552779  0.503352815  0.50373190187286  0.5024
010101053027  0.505752846  0.504052540  0.501152870  0.50423190187286  0.5024
010101114616  0.139414751  0.140714562  0.138914523  0.1385886163135  0.1396
010110052467  0.500452748  0.503052943  0.504953038  0.50583190187286  0.5024
010110114831  0.141414572  0.139014691  0.140114602  0.1393886163135  0.1396
010111014706  0.140214461  0.137914389  0.137214730  0.1405886163135  0.1396
01011113579  0.03413474  0.03313565  0.03403548  0.0338215553195  0.0339
0110000167662  1.5989168145  1.6036168086  1.6030167753  1.599810150595910  1.5985
011000152601  0.501653061  0.506052807  0.503652739  0.50303190187286  0.5024
011001052486  0.500552890  0.504452354  0.499352323  0.49903190187286  0.5024
011001114806  0.141214627  0.139514657  0.139814520  0.1385886163135  0.1396
011010052836  0.503952217  0.498052796  0.503552467  0.50043190187286  0.5024
011010114645  0.139714821  0.141314557  0.138814682  0.1400886163135  0.1396
011011014516  0.138414619  0.139414691  0.140114700  0.1402886163135  0.1396
01101113527  0.03363588  0.03423586  0.03423652  0.0348215553195  0.0339
011100052523  0.500952846  0.504052289  0.498752793  0.50353190187286  0.5024
011100114647  0.139714755  0.140714572  0.139014562  0.1389886163135  0.1396
011101014581  0.139114746  0.140614802  0.141214523  0.1385886163135  0.1396
01110113624  0.03463566  0.03403515  0.03353566  0.0340215553195  0.0339
011110014668  0.139914507  0.138314658  0.139814589  0.1391886163135  0.1396
01111013505  0.03343610  0.03443582  0.03423526  0.0336215553195  0.0339
01111103506  0.03343539  0.03383597  0.03433554  0.0339215553195  0.0339
0111111758  0.0072738  0.0070768  0.0073767  0.007345379620  0.0071
1000000474975  4.5297474147  4.5218475654  4.5362474442  4.524628760021745  4.5290
1000001167491  1.5973167622  1.5986167665  1.5990168102  1.603110150595910  1.5985
1000010167394  1.5964167476  1.5972167826  1.6005167853  1.600810150595910  1.5985
100001152681  0.502452622  0.501852679  0.502452668  0.50233190187286  0.5024
1000100168256  1.6046167700  1.5993167477  1.5972167601  1.598410150595910  1.5985
100010152370  0.499452614  0.501852798  0.503553174  0.50713190187286  0.5024
100011052318  0.498952875  0.504352895  0.504452743  0.50303190187286  0.5024
100011114547  0.138714743  0.140614577  0.139014740  0.1406886163135  0.1396
1001000167997  1.6021167542  1.5978167595  1.5983167744  1.599710150595910  1.5985
100100152596  0.501652284  0.498652542  0.501152374  0.49953190187286  0.5024
100101052644  0.502152734  0.502952730  0.502952718  0.50283190187286  0.5024
100101114648  0.139714483  0.138114628  0.139514635  0.1396886163135  0.1396
100110052660  0.502252633  0.501953140  0.506852833  0.50393190187286  0.5024
100110114527  0.138514618  0.139414759  0.140814567  0.1389886163135  0.1396
100111014729  0.140514681  0.140014666  0.139914582  0.1391886163135  0.1396
10011113484  0.03323573  0.03413543  0.03383555  0.0339215553195  0.0339
1010000167558  1.5980167513  1.5975167388  1.5963167050  1.593110150595910  1.5985
101000152621  0.501852603  0.501752487  0.500652802  0.50363190187286  0.5024
101001053032  0.505852833  0.503952999  0.505452702  0.50263190187286  0.5024
101001114780  0.141014791  0.141114599  0.139214520  0.1385886163135  0.1396
101010052323  0.499052798  0.503553088  0.506352461  0.50033190187286  0.5024
101010114446  0.137814562  0.138914793  0.141114747  0.1406886163135  0.1396
101011014614  0.139414572  0.139014552  0.138814515  0.1384886163135  0.1396
10101113622  0.03453596  0.03433523  0.03363597  0.0343215553195  0.0339
101100052607  0.501752775  0.503352574  0.501452526  0.50093190187286  0.5024
101100114782  0.141014449  0.137814518  0.138514632  0.1395886163135  0.1396
101101014551  0.138814603  0.139314700  0.140214614  0.1394886163135  0.1396
10110113467  0.03313575  0.03413544  0.03383591  0.0342215553195  0.0339
101110014811  0.141214521  0.138514648  0.139714741  0.1406886163135  0.1396
10111013477  0.03323514  0.03353593  0.03433546  0.0338215553195  0.0339
10111103526  0.03363627  0.03463570  0.03403579  0.0341215553195  0.0339
1011111694  0.0066758  0.0072736  0.0070747  0.007145379620  0.0071
1100000167279  1.5953167599  1.5983167991  1.6021167510  1.597510150595910  1.5985
110000152572  0.501452965  0.505152557  0.501253043  0.50593190187286  0.5024
110001052489  0.500652451  0.500252833  0.503952615  0.50183190187286  0.5024
110001114641  0.139614472  0.138014652  0.139714664  0.1398886163135  0.1396
110010052631  0.501952471  0.500452729  0.502952561  0.50133190187286  0.5024
110010114581  0.139114663  0.139814582  0.139114679  0.1400886163135  0.1396
110011014849  0.141614683  0.140014491  0.138214467  0.1380886163135  0.1396
11001113568  0.03403620  0.03453484  0.03323642  0.0347215553195  0.0339
110100052771  0.503352699  0.502652530  0.501052756  0.50313190187286  0.5024
110100114638  0.139614417  0.137514510  0.138414476  0.1381886163135  0.1396
110101014703  0.140214587  0.139114533  0.138614785  0.1410886163135  0.1396
11010113562  0.03403518  0.03363576  0.03413594  0.0343215553195  0.0339
110110014900  0.142114588  0.139114533  0.138614572  0.1390886163135  0.1396
11011013577  0.03413516  0.03353591  0.03423658  0.0349215553195  0.0339
11011103641  0.03473395  0.03243555  0.03393571  0.0341215553195  0.0339
1101111804  0.0077741  0.0071698  0.0067782  0.007545379620  0.0071
111000052669  0.502353079  0.506252843  0.504052571  0.50143190187286  0.5024
111000114514  0.138414635  0.139614717  0.140414459  0.1379886163135  0.1396
111001014659  0.139814461  0.137914779  0.140914601  0.1392886163135  0.1396
11100113461  0.03303528  0.03363606  0.03443562  0.0340215553195  0.0339
111010014658  0.139814640  0.139614709  0.140314727  0.1404886163135  0.1396
11101013523  0.03363470  0.03313594  0.03433529  0.0337215553195  0.0339
11101103615  0.03453664  0.03493575  0.03413590  0.0342215553195  0.0339
1110111741  0.0071775  0.0074750  0.0072765  0.007345379620  0.0071
111100014758  0.140714618  0.139414595  0.139214674  0.1399886163135  0.1396
11110013472  0.03313480  0.03323599  0.03433580  0.0341215553195  0.0339
11110103511  0.03353547  0.03383444  0.03283577  0.0341215553195  0.0339
1111011787  0.0075738  0.0070782  0.0075798  0.007645379620  0.0071
11111003523  0.03363476  0.03313560  0.03403503  0.0334215553195  0.0339
1111101768  0.0073796  0.0076748  0.0071775  0.007445379620  0.0071
1111110749  0.0071766  0.0073766  0.0073714  0.006845379620  0.0071
1111111127  0.0012115  0.0011144  0.0014138  0.00138145060  0.0013
U = 12810485760 31.749410485760 31.737110485760 31.762010485760 31.7515635013559600 31.7500

TopMain

Diamond quality map = dq

Diamond Ace = 64   King = 32   Queen = 16   Jack = 8   Ten = 4   Nine = 2   Eight = 1

ValueNorthSouthWestEastTheoretical
00000001204819 11.49001207548 11.51611204760 11.48951205418 11.495873006209045 11.4968
0000001475716  4.5368474691  4.5270476749  4.5466474124  4.521628760021745  4.5290
0000010474423  4.5245475095  4.5309475290  4.5327475673  4.536428760021745  4.5290
0000011167590  1.5983167248  1.5950166872  1.5914167592  1.598310150595910  1.5985
0000100474914  4.5291475500  4.5347474421  4.5244475103  4.530928760021745  4.5290
0000101167605  1.5984167529  1.5977167273  1.5952167888  1.601110150595910  1.5985
0000110167602  1.5984168123  1.6033167788  1.6002167697  1.599310150595910  1.5985
000011152417  0.499952582  0.501552683  0.502452743  0.50303190187286  0.5024
0001000475184  4.5317474583  4.5260474704  4.5271474014  4.520528760021745  4.5290
0001001167341  1.5959167385  1.5963167086  1.5935167800  1.600310150595910  1.5985
0001010167249  1.5950168197  1.6041167655  1.5989167453  1.597010150595910  1.5985
000101152412  0.499853053  0.506052792  0.503552923  0.50473190187286  0.5024
0001100167400  1.5965167377  1.5962167481  1.5972167586  1.598210150595910  1.5985
000110152503  0.500752885  0.504452800  0.503553022  0.50573190187286  0.5024
000111052571  0.501452372  0.499552744  0.503052246  0.49833190187286  0.5024
000111114663  0.139814702  0.140214583  0.139114842  0.1415886163135  0.1396
0010000475041  4.5303474318  4.5234476053  4.5400474411  4.524328760021745  4.5290
0010001167259  1.5951167867  1.6009167207  1.5946167887  1.601110150595910  1.5985
0010010167498  1.5974167139  1.5940167090  1.5935168150  1.603610150595910  1.5985
001001152644  0.502152720  0.502852830  0.503852607  0.50173190187286  0.5024
0010100168470  1.6067167686  1.5992167122  1.5938166731  1.590110150595910  1.5985
001010153048  0.505952897  0.504552662  0.502252736  0.50293190187286  0.5024
001011052675  0.502352133  0.497252520  0.500952503  0.50073190187286  0.5024
001011114628  0.139514818  0.141314617  0.139414880  0.1419886163135  0.1396
0011000167835  1.6006167459  1.5970167494  1.5973168021  1.602410150595910  1.5985
001100152583  0.501552936  0.504852680  0.502452571  0.50143190187286  0.5024
001101052313  0.498952851  0.504052531  0.501052870  0.50423190187286  0.5024
001101114473  0.138014622  0.139414746  0.140614742  0.1406886163135  0.1396
001110052606  0.501752533  0.501052709  0.502752785  0.50343190187286  0.5024
001110114386  0.137214595  0.139214727  0.140414605  0.1393886163135  0.1396
001111014466  0.138014489  0.138214601  0.139214585  0.1391886163135  0.1396
00111113556  0.03393446  0.03293603  0.03443516  0.0335215553195  0.0339
0100000475604  4.5357475771  4.5373475494  4.5347475089  4.530828760021745  4.5290
0100001167638  1.5987167231  1.5948167571  1.5981168268  1.604710150595910  1.5985
0100010167127  1.5938167732  1.5996167310  1.5956167244  1.595010150595910  1.5985
010001152638  0.502052456  0.500352858  0.504152630  0.50193190187286  0.5024
0100100167246  1.5950167664  1.5990167805  1.6003167773  1.600010150595910  1.5985
010010152579  0.501452757  0.503152772  0.503352707  0.50273190187286  0.5024
010011053073  0.506152252  0.498352594  0.501652660  0.50223190187286  0.5024
010011114820  0.141314529  0.138614711  0.140314655  0.1398886163135  0.1396
0101000167023  1.5929167679  1.5991167424  1.5967167072  1.593310150595910  1.5985
010100153052  0.505953037  0.505852717  0.502752519  0.50093190187286  0.5024
010101052509  0.500853148  0.506952966  0.505152718  0.50283190187286  0.5024
010101114537  0.138614458  0.137914661  0.139814475  0.1380886163135  0.1396
010110052997  0.505452988  0.505352644  0.502152211  0.49793190187286  0.5024
010110114573  0.139014554  0.138814835  0.141514516  0.1384886163135  0.1396
010111014705  0.140214687  0.140114648  0.139714646  0.1397886163135  0.1396
01011113656  0.03493577  0.03413586  0.03423557  0.0339215553195  0.0339
0110000167260  1.5951167596  1.5983166931  1.5920168397  1.606010150595910  1.5985
011000153042  0.505852531  0.501052471  0.500452468  0.50043190187286  0.5024
011001053192  0.507352659  0.502252535  0.501052639  0.50203190187286  0.5024
011001114502  0.138314456  0.137914384  0.137214529  0.1386886163135  0.1396
011010052700  0.502652613  0.501852484  0.500552636  0.50203190187286  0.5024
011010114893  0.142014738  0.140614648  0.139714662  0.1398886163135  0.1396
011011014606  0.139314537  0.138614742  0.140614550  0.1388886163135  0.1396
01101113615  0.03453586  0.03423655  0.03493515  0.0335215553195  0.0339
011100052503  0.500752735  0.502952715  0.502752700  0.50263190187286  0.5024
011100114618  0.139414536  0.138614583  0.139114645  0.1397886163135  0.1396
011101014739  0.140614412  0.137414758  0.140714679  0.1400886163135  0.1396
01110113547  0.03383525  0.03363580  0.03413503  0.0334215553195  0.0339
011110014783  0.141014671  0.139914653  0.139714464  0.1379886163135  0.1396
01111013627  0.03463568  0.03403489  0.03333643  0.0347215553195  0.0339
01111103627  0.03463557  0.03393555  0.03393583  0.0342215553195  0.0339
0111111726  0.0069771  0.0074776  0.0074738  0.007045379620  0.0071
1000000475546  4.5352474312  4.5234475331  4.5331474971  4.529728760021745  4.5290
1000001167698  1.5993167058  1.5932166665  1.5894167492  1.597310150595910  1.5985
1000010167773  1.6000167387  1.5963167883  1.6011167482  1.597210150595910  1.5985
100001152438  0.500152602  0.501752685  0.502453073  0.50613190187286  0.5024
1000100167292  1.5954167848  1.6007167540  1.5978167347  1.595910150595910  1.5985
100010152896  0.504552081  0.496752629  0.501952524  0.50093190187286  0.5024
100011052617  0.501852856  0.504152686  0.502553079  0.50623190187286  0.5024
100011114674  0.139914638  0.139614651  0.139714612  0.1394886163135  0.1396
1001000166910  1.5918167793  1.6002168206  1.6041167764  1.599910150595910  1.5985
100100152516  0.500852935  0.504852671  0.502352767  0.50323190187286  0.5024
100101052946  0.504952739  0.503052599  0.501652417  0.49993190187286  0.5024
100101114762  0.140814702  0.140214715  0.140314702  0.1402886163135  0.1396
100110052726  0.502852790  0.503452503  0.500752741  0.50303190187286  0.5024
100110114787  0.141014488  0.138214718  0.140414671  0.1399886163135  0.1396
100111014596  0.139214670  0.139914668  0.139914798  0.1411886163135  0.1396
10011113479  0.03323522  0.03363649  0.03483542  0.0338215553195  0.0339
1010000167277  1.5953167130  1.5939167559  1.5980168094  1.603110150595910  1.5985
101000153029  0.505752488  0.500652977  0.505252985  0.50533190187286  0.5024
101001052944  0.504952592  0.501652933  0.504852508  0.50083190187286  0.5024
101001114574  0.139014775  0.140914549  0.138814544  0.1387886163135  0.1396
101010052807  0.503652761  0.503252493  0.500652497  0.50073190187286  0.5024
101010114617  0.139414553  0.138814771  0.140914655  0.1398886163135  0.1396
101011014664  0.139814782  0.141014472  0.138014646  0.1397886163135  0.1396
10101113430  0.03273475  0.03313588  0.03423603  0.0344215553195  0.0339
101100052571  0.501452708  0.502752675  0.502352870  0.50423190187286  0.5024
101100114741  0.140614722  0.140414481  0.138114773  0.1409886163135  0.1396
101101014633  0.139614649  0.139714803  0.141214677  0.1400886163135  0.1396
10110113495  0.03333537  0.03373652  0.03483658  0.0349215553195  0.0339
101110014506  0.138314499  0.138314647  0.139714633  0.1396886163135  0.1396
10111013608  0.03443611  0.03443597  0.03433558  0.0339215553195  0.0339
10111103567  0.03403633  0.03463602  0.03443640  0.0347215553195  0.0339
1011111765  0.0073769  0.0073776  0.0074728  0.006945379620  0.0071
1100000167777  1.6000167159  1.5942168141  1.6035166623  1.589010150595910  1.5985
110000152397  0.499752606  0.501752764  0.503252301  0.49883190187286  0.5024
110001052343  0.499252855  0.504152498  0.500752682  0.50243190187286  0.5024
110001114729  0.140514501  0.138314441  0.137714620  0.1394886163135  0.1396
110010052778  0.503352665  0.502352571  0.501452754  0.50313190187286  0.5024
110010114608  0.139314771  0.140914577  0.139014512  0.1384886163135  0.1396
110011014636  0.139614542  0.138714618  0.139414836  0.1415886163135  0.1396
11001113548  0.03383567  0.03403571  0.03413495  0.0333215553195  0.0339
110100052800  0.503552625  0.501952635  0.502052530  0.50103190187286  0.5024
110100114638  0.139614577  0.139014720  0.140414566  0.1389886163135  0.1396
110101014538  0.138614674  0.139914757  0.140714607  0.1393886163135  0.1396
11010113595  0.03433500  0.03343586  0.03423602  0.0344215553195  0.0339
110110014659  0.139814694  0.140114595  0.139214733  0.1405886163135  0.1396
11011013576  0.03413631  0.03463479  0.03323588  0.0342215553195  0.0339
11011103626  0.03463563  0.03403507  0.03343639  0.0347215553195  0.0339
1101111724  0.0069735  0.0070767  0.0073753  0.007245379620  0.0071
111000052829  0.503852721  0.502852941  0.504952408  0.49983190187286  0.5024
111000114752  0.140714463  0.137914591  0.139214680  0.1400886163135  0.1396
111001014681  0.140014696  0.140214653  0.139714781  0.1410886163135  0.1396
11100113522  0.03363552  0.03393555  0.03393575  0.0341215553195  0.0339
111010014672  0.139914546  0.138714577  0.139014722  0.1404886163135  0.1396
11101013639  0.03473551  0.03393438  0.03283462  0.0330215553195  0.0339
11101103594  0.03433557  0.03393604  0.03443598  0.0343215553195  0.0339
1110111743  0.0071747  0.0071718  0.0068735  0.007045379620  0.0071
111100014524  0.138514782  0.141014532  0.138614759  0.1408886163135  0.1396
11110013601  0.03433613  0.03453456  0.03303664  0.0349215553195  0.0339
11110103696  0.03523503  0.03343665  0.03503628  0.0346215553195  0.0339
1111011744  0.0071746  0.0071764  0.0073760  0.007245379620  0.0071
11111003593  0.03433472  0.03313546  0.03383596  0.0343215553195  0.0339
1111101765  0.0073771  0.0074732  0.0070781  0.007445379620  0.0071
1111110764  0.0073742  0.0071810  0.0077748  0.007145379620  0.0071
1111111138  0.0013138  0.0013149  0.0014156  0.00158145060  0.0013
U = 12810485760 31.759810485760 31.734410485760 31.754310485760 31.7515635013559600 31.7500

TopMain

Club quality map = cq

Club Ace = 64   King = 32   Queen = 16   Jack = 8   Ten = 4   Nine = 2   Eight = 1

ValueNorthSouthWestEastTheoretical
00000001206147 11.50271206232 11.50351206544 11.50651205888 11.500273006209045 11.4968
0000001474103  4.5214475321  4.5330474892  4.5289476072  4.540228760021745  4.5290
0000010476079  4.5402474133  4.5217474904  4.5290474666  4.526828760021745  4.5290
0000011166861  1.5913167644  1.5988167391  1.5964167573  1.598110150595910  1.5985
0000100473799  4.5185474984  4.5298473865  4.5191475098  4.530928760021745  4.5290
0000101166816  1.5909167823  1.6005167505  1.5975167946  1.601710150595910  1.5985
0000110168000  1.6022167666  1.5990167817  1.6004167367  1.596110150595910  1.5985
000011152650  0.502152706  0.502652665  0.502352487  0.50063190187286  0.5024
0001000474357  4.5238473854  4.5190474918  4.5292474677  4.526928760021745  4.5290
0001001167180  1.5944167655  1.5989167777  1.6000167371  1.596210150595910  1.5985
0001010167494  1.5973167522  1.5976168021  1.6024167376  1.596210150595910  1.5985
000101152573  0.501452897  0.504552746  0.503052719  0.50283190187286  0.5024
0001100167325  1.5957167528  1.5977167772  1.6000168060  1.602710150595910  1.5985
000110152756  0.503152786  0.503452670  0.502352992  0.50543190187286  0.5024
000111052624  0.501952572  0.501452907  0.504652505  0.50073190187286  0.5024
000111114694  0.140114686  0.140114500  0.138314769  0.1408886163135  0.1396
0010000475391  4.5337474137  4.5217475394  4.5337474183  4.522228760021745  4.5290
0010001167739  1.5997167332  1.5958168109  1.6032167893  1.601210150595910  1.5985
0010010167656  1.5989167405  1.5965167870  1.6009167522  1.597610150595910  1.5985
001001152635  0.502052909  0.504652487  0.500652337  0.49913190187286  0.5024
0010100167556  1.5979167717  1.5995168386  1.6059167698  1.599310150595910  1.5985
001010152712  0.502752582  0.501552955  0.505052458  0.50033190187286  0.5024
001011052542  0.501152766  0.503252711  0.502752657  0.50223190187286  0.5024
001011114731  0.140514805  0.141214548  0.138714679  0.1400886163135  0.1396
0011000167668  1.5990167563  1.5980167159  1.5942167928  1.601510150595910  1.5985
001100152589  0.501552599  0.501652940  0.504952964  0.50513190187286  0.5024
001101052801  0.503552740  0.503052564  0.501352437  0.50013190187286  0.5024
001101114695  0.140114697  0.140214637  0.139614494  0.1382886163135  0.1396
001110052878  0.504352072  0.496652656  0.502252798  0.50353190187286  0.5024
001110114903  0.142114477  0.138114651  0.139714649  0.1397886163135  0.1396
001111014489  0.138214627  0.139514771  0.140914707  0.1403886163135  0.1396
00111113609  0.03443630  0.03463655  0.03493486  0.0332215553195  0.0339
0100000475165  4.5315475100  4.5309475322  4.5330474871  4.528728760021745  4.5290
0100001167840  1.6006167893  1.6012167068  1.5933167519  1.597610150595910  1.5985
0100010167771  1.6000168836  1.6101168161  1.6037167879  1.601010150595910  1.5985
010001152357  0.499352519  0.500951851  0.494552827  0.50383190187286  0.5024
0100100167895  1.6012167793  1.6002167429  1.5967167317  1.595710150595910  1.5985
010010152613  0.501852559  0.501252929  0.504852567  0.50133190187286  0.5024
010011052743  0.503052808  0.503652755  0.503152386  0.49963190187286  0.5024
010011114571  0.139014583  0.139114689  0.140114602  0.1393886163135  0.1396
0101000167546  1.5978167091  1.5935167907  1.6013167607  1.598410150595910  1.5985
010100152543  0.501152543  0.501152751  0.503152558  0.50123190187286  0.5024
010101052388  0.499652988  0.505352876  0.504352944  0.50493190187286  0.5024
010101114722  0.140414359  0.136914718  0.140414669  0.1399886163135  0.1396
010110052968  0.505153273  0.508152745  0.503052720  0.50283190187286  0.5024
010110114502  0.138314647  0.139714477  0.138114613  0.1394886163135  0.1396
010111014505  0.138314529  0.138614533  0.138614833  0.1415886163135  0.1396
01011113580  0.03413551  0.03393503  0.03343562  0.0340215553195  0.0339
0110000168128  1.6034167037  1.5930166436  1.5873167215  1.594710150595910  1.5985
011000152366  0.499452861  0.504153027  0.505752775  0.50333190187286  0.5024
011001052727  0.502853102  0.506452756  0.503152968  0.50513190187286  0.5024
011001114830  0.141414493  0.138214750  0.140714647  0.1397886163135  0.1396
011010052872  0.504252694  0.502552600  0.501652533  0.50103190187286  0.5024
011010114409  0.137414546  0.138714543  0.138714401  0.1373886163135  0.1396
011011014508  0.138414538  0.138614561  0.138914437  0.1377886163135  0.1396
01101113561  0.03403613  0.03453612  0.03443633  0.0346215553195  0.0339
011100052742  0.503052368  0.499452347  0.499252666  0.50233190187286  0.5024
011100114459  0.137914637  0.139614621  0.139414623  0.1395886163135  0.1396
011101014566  0.138914609  0.139314780  0.141014666  0.1399886163135  0.1396
01110113569  0.03403507  0.03343521  0.03363616  0.0345215553195  0.0339
011110014758  0.140714591  0.139214676  0.140014543  0.1387886163135  0.1396
01111013533  0.03373563  0.03403571  0.03413484  0.0332215553195  0.0339
01111103513  0.03353495  0.03333498  0.03343608  0.0344215553195  0.0339
0111111756  0.0072727  0.0069785  0.0075772  0.007445379620  0.0071
1000000474307  4.5233474737  4.5274474024  4.5206474877  4.528828760021745  4.5290
1000001167808  1.6003167521  1.5976167721  1.5995167866  1.600910150595910  1.5985
1000010167545  1.5978166952  1.5922167538  1.5978167901  1.601210150595910  1.5985
100001152394  0.499752653  0.502152731  0.502952578  0.50143190187286  0.5024
1000100167583  1.5982167479  1.5972167672  1.5990167293  1.595410150595910  1.5985
100010152724  0.502852695  0.502552849  0.504052474  0.50043190187286  0.5024
100011052689  0.502552852  0.504052786  0.503452099  0.49693190187286  0.5024
100011114688  0.140114885  0.142014546  0.138714595  0.1392886163135  0.1396
1001000167988  1.6021167606  1.5984167253  1.5950167197  1.594510150595910  1.5985
100100152507  0.500752640  0.502052560  0.501353075  0.50623190187286  0.5024
100101052873  0.504252828  0.503852629  0.501952889  0.50443190187286  0.5024
100101114669  0.139914593  0.139214546  0.138714526  0.1385886163135  0.1396
100110052667  0.502352823  0.503852667  0.502352918  0.50473190187286  0.5024
100110114975  0.142814771  0.140914640  0.139614546  0.1387886163135  0.1396
100111014650  0.139714617  0.139414547  0.138714790  0.1410886163135  0.1396
10011113568  0.03403554  0.03393530  0.03373616  0.0345215553195  0.0339
1010000166968  1.5923167828  1.6005167834  1.6006167344  1.595910150595910  1.5985
101000152601  0.501652828  0.503852494  0.500652793  0.50353190187286  0.5024
101001053069  0.506152440  0.500152607  0.501752252  0.49833190187286  0.5024
101001114737  0.140514507  0.138314539  0.138714700  0.1402886163135  0.1396
101010052652  0.502152822  0.503752663  0.502253249  0.50783190187286  0.5024
101010114529  0.138614734  0.140514883  0.141914853  0.1416886163135  0.1396
101011014630  0.139514556  0.138814753  0.140714700  0.1402886163135  0.1396
10101113571  0.03413496  0.03333541  0.03383611  0.0344215553195  0.0339
101100052810  0.503653071  0.506152729  0.502952664  0.50223190187286  0.5024
101100114731  0.140514922  0.142314859  0.141714383  0.1372886163135  0.1396
101101014862  0.141714684  0.140014366  0.137014397  0.1373886163135  0.1396
10110113483  0.03323693  0.03523539  0.03383537  0.0337215553195  0.0339
101110014780  0.141014692  0.140114757  0.140714638  0.1396886163135  0.1396
10111013536  0.03373663  0.03493562  0.03403502  0.0334215553195  0.0339
10111103603  0.03443515  0.03353676  0.03513577  0.0341215553195  0.0339
1011111734  0.0070756  0.0072709  0.0068784  0.007545379620  0.0071
1100000168332  1.6053167862  1.6009167486  1.5973167622  1.598610150595910  1.5985
110000152978  0.505252693  0.502552562  0.501352493  0.50063190187286  0.5024
110001052631  0.501953024  0.505752506  0.500752611  0.50173190187286  0.5024
110001114618  0.139414823  0.141414617  0.139414679  0.1400886163135  0.1396
110010052513  0.500852569  0.501352455  0.500252575  0.50143190187286  0.5024
110010114699  0.140214615  0.139414723  0.140414476  0.1381886163135  0.1396
110011014559  0.138814525  0.138514532  0.138614722  0.1404886163135  0.1396
11001113486  0.03323565  0.03403640  0.03473554  0.0339215553195  0.0339
110100052846  0.504052905  0.504553040  0.505852865  0.50423190187286  0.5024
110100114685  0.140014501  0.138314779  0.140914756  0.1407886163135  0.1396
110101014568  0.138914663  0.139814346  0.136814676  0.1400886163135  0.1396
11010113529  0.03373648  0.03483489  0.03333596  0.0343215553195  0.0339
110110014712  0.140314693  0.140114540  0.138714431  0.1376886163135  0.1396
11011013556  0.03393495  0.03333441  0.03283573  0.0341215553195  0.0339
11011103473  0.03313493  0.03333475  0.03313513  0.0335215553195  0.0339
1101111756  0.0072769  0.0073750  0.0072757  0.007245379620  0.0071
111000052740  0.503052289  0.498752575  0.501452797  0.50353190187286  0.5024
111000114604  0.139314526  0.138514683  0.140014782  0.1410886163135  0.1396
111001014733  0.140514625  0.139514503  0.138314678  0.1400886163135  0.1396
11100113569  0.03403570  0.03403644  0.03483532  0.0337215553195  0.0339
111010014734  0.140514626  0.139514735  0.140514779  0.1409886163135  0.1396
11101013529  0.03373591  0.03423515  0.03353558  0.0339215553195  0.0339
11101103588  0.03423515  0.03353519  0.03363605  0.0344215553195  0.0339
1110111774  0.0074741  0.0071753  0.0072734  0.007045379620  0.0071
111100014636  0.139614563  0.138914471  0.138014569  0.1389886163135  0.1396
11110013476  0.03313438  0.03283545  0.03383596  0.0343215553195  0.0339
11110103586  0.03423613  0.03453525  0.03363521  0.0336215553195  0.0339
1111011713  0.0068755  0.0072789  0.0075737  0.007045379620  0.0071
11111003464  0.03303458  0.03303551  0.03393670  0.0350215553195  0.0339
1111101775  0.0074761  0.0073766  0.0073725  0.006945379620  0.0071
1111110781  0.0074782  0.0075731  0.0070719  0.006945379620  0.0071
1111111128  0.0012131  0.0012139  0.0013118  0.00118145060  0.0013
U = 12810485760 31.763610485760 31.754510485760 31.735010485760 31.7468635013559600 31.7500

TopMain

Spade x-card map = sx

Spade Seven = 32   Six = 16   Five = 8   Four = 4   Three = 2   Two = 1

ValueNorthSouthWestEastTheoretical
0000001680555 16.02701680412 16.02571680433 16.02591682625 16.0468101766230790 16.0258
000001643007  6.1322640399  6.1073642927  6.1314643002  6.132138910617655  6.1275
000010641507  6.1179643299  6.1350643772  6.1395642978  6.131938910617655  6.1275
000011219432  2.0927219308  2.0915220144  2.0995219846  2.096613340783196  2.1009
000100641857  6.1212642963  6.1318641468  6.1175641952  6.122138910617655  6.1275
000101219560  2.0939219967  2.0978220066  2.0987220461  2.102513340783196  2.1009
000110220563  2.1035220051  2.0986220223  2.1002220169  2.099713340783196  2.1009
00011167131  0.640267814  0.646767295  0.641867445  0.64324076350421  0.6419
001000641564  6.1184642328  6.1257642385  6.1263641897  6.121638910617655  6.1275
001001219831  2.0965220444  2.1023220551  2.1033219841  2.096613340783196  2.1009
001010220068  2.0987220409  2.1020220165  2.0997220164  2.099613340783196  2.1009
00101166987  0.638867149  0.640467650  0.645267489  0.64364076350421  0.6419
001100220391  2.1018220999  2.1076221251  2.1100220073  2.098813340783196  2.1009
00110167426  0.643067829  0.646967891  0.647567607  0.64484076350421  0.6419
00111067423  0.643067914  0.647767279  0.641667396  0.64274076350421  0.6419
00111118154  0.173118245  0.174018354  0.175018332  0.17481101716330  0.1735
010000643098  6.1331643222  6.1342641181  6.1148642187  6.124438910617655  6.1275
010001220103  2.0991220081  2.0989220251  2.1005220768  2.105413340783196  2.1009
010010220645  2.1042220792  2.1056219750  2.0957221053  2.108113340783196  2.1009
01001167401  0.642867045  0.639466972  0.638767319  0.64204076350421  0.6419
010100220259  2.1006220643  2.1042220249  2.1005220565  2.103513340783196  2.1009
01010167367  0.642567545  0.644267190  0.640867174  0.64064076350421  0.6419
01011067208  0.640967361  0.642467346  0.642367274  0.64164076350421  0.6419
01011118171  0.173318146  0.173118132  0.172918275  0.17431101716330  0.1735
011000220963  2.1073220282  2.1008220027  2.0983220047  2.098513340783196  2.1009
01100167362  0.642466899  0.638067727  0.645967186  0.64074076350421  0.6419
01101067469  0.643467359  0.642467111  0.640067196  0.64084076350421  0.6419
01101118219  0.173718184  0.173418449  0.175917977  0.17141101716330  0.1735
01110067461  0.643467217  0.641066895  0.638067573  0.64444076350421  0.6419
01110118336  0.174918221  0.173818137  0.173018036  0.17201101716330  0.1735
01111017933  0.171018409  0.175618145  0.173018243  0.17401101716330  0.1735
0111114317  0.04124365  0.04164307  0.04114338  0.0414260932815  0.0411
100000642774  6.1300642435  6.1267642397  6.1264641975  6.122438910617655  6.1275
100001220342  2.1013220399  2.1019221060  2.1082221076  2.108313340783196  2.1009
100010221390  2.1113220447  2.1023220333  2.1013220581  2.103613340783196  2.1009
10001167297  0.641867549  0.644267153  0.640467041  0.63944076350421  0.6419
100100219983  2.0979221161  2.1092219617  2.0944220203  2.100013340783196  2.1009
10010167893  0.647567149  0.640467035  0.639367558  0.64434076350421  0.6419
10011066878  0.637866823  0.637367139  0.640366930  0.63834076350421  0.6419
10011118511  0.176518067  0.172318242  0.174018042  0.17211101716330  0.1735
101000220936  2.1070219776  2.0959220270  2.1007218526  2.084013340783196  2.1009
10100167838  0.647067275  0.641667409  0.642967286  0.64174076350421  0.6419
10101067352  0.642366951  0.638567389  0.642767458  0.64334076350421  0.6419
10101118228  0.173818227  0.173818473  0.176218156  0.17311101716330  0.1735
10110067439  0.643167112  0.640067714  0.645867486  0.64364076350421  0.6419
10110118236  0.173918353  0.175018306  0.174618111  0.17271101716330  0.1735
10111018236  0.173917918  0.170918221  0.173817972  0.17141101716330  0.1735
1011114197  0.04004311  0.04114200  0.04014321  0.0412260932815  0.0411
110000220112  2.0992220627  2.1041220758  2.1053220304  2.101013340783196  2.1009
11000167284  0.641767320  0.642067502  0.643767329  0.64214076350421  0.6419
11001067357  0.642467497  0.643767060  0.639567454  0.64334076350421  0.6419
11001117955  0.171218134  0.172918191  0.173518253  0.17411101716330  0.1735
11010067212  0.641066899  0.638067001  0.639067081  0.63974076350421  0.6419
11010118384  0.175318186  0.173418345  0.175018113  0.17271101716330  0.1735
11011018260  0.174118126  0.172917956  0.171218430  0.17581101716330  0.1735
1101114392  0.04194358  0.04164366  0.04164150  0.0396260932815  0.0411
11100067063  0.639667181  0.640767596  0.644667348  0.64234076350421  0.6419
11100117959  0.171317937  0.171118267  0.174218182  0.17341101716330  0.1735
11101018173  0.173318255  0.174118018  0.171818156  0.17311101716330  0.1735
1110114440  0.04234247  0.04054300  0.04104329  0.0413260932815  0.0411
11110018292  0.174418123  0.172818218  0.173717944  0.17111101716330  0.1735
1111014313  0.04114475  0.04274315  0.04124266  0.0407260932815  0.0411
1111104396  0.04194266  0.04074294  0.04104305  0.0411260932815  0.0411
111111870  0.0083875  0.0083892  0.0085906  0.008653524680  0.0084
U = 6410485760 15.759810485760 15.749110485760 15.749810485760 15.7413635013559600 15.7500

TopMain

Heart x-card map = hx

Heart Seven = 32   Six = 16   Five = 8   Four = 4   Three = 2   Two = 1

ValueNorthSouthWestEastTheoretical
0000001680975 16.03101680317 16.02481679140 16.01351680179 16.0234101766230790 16.0258
000001642401  6.1264642935  6.1315642078  6.1233642680  6.129138910617655  6.1275
000010643455  6.1365641897  6.1216642164  6.1242642791  6.130138910617655  6.1275
000011220825  2.1060220367  2.1016220026  2.0983220281  2.100813340783196  2.1009
000100641173  6.1147643467  6.1366642938  6.1315644101  6.142638910617655  6.1275
000101220026  2.0983220069  2.0987220780  2.1055221083  2.108413340783196  2.1009
000110219883  2.0970220617  2.1040220293  2.1009220529  2.103113340783196  2.1009
00011167245  0.641367303  0.641967370  0.642567579  0.64454076350421  0.6419
001000643258  6.1346643493  6.1368643365  6.1356642734  6.129638910617655  6.1275
001001221096  2.1085219667  2.0949219533  2.0936219219  2.090613340783196  2.1009
001010220188  2.0999219836  2.0965220956  2.1072219196  2.090413340783196  2.1009
00101167447  0.643267236  0.641267673  0.645467124  0.64014076350421  0.6419
001100219367  2.0920220069  2.0987220192  2.0999220399  2.101913340783196  2.1009
00110167122  0.640167389  0.642767341  0.642267187  0.64074076350421  0.6419
00111067101  0.639967406  0.642867714  0.645867456  0.64334076350421  0.6419
00111118198  0.173518252  0.174118224  0.173817981  0.17151101716330  0.1735
010000643666  6.1385641617  6.1189643543  6.1373642166  6.124238910617655  6.1275
010001219785  2.0960219764  2.0958219991  2.0980220493  2.102813340783196  2.1009
010010220568  2.1035220792  2.1056220207  2.1001220644  2.104213340783196  2.1009
01001167607  0.644867077  0.639767533  0.644066729  0.63644076350421  0.6419
010100219633  2.0946220130  2.0993219296  2.0914219810  2.096313340783196  2.1009
01010167176  0.640667569  0.644466980  0.638867027  0.63924076350421  0.6419
01011067019  0.639167893  0.647567505  0.643867011  0.63914076350421  0.6419
01011118165  0.173218253  0.174118101  0.172618252  0.17411101716330  0.1735
011000219636  2.0946221084  2.1084220722  2.1050220263  2.100613340783196  2.1009
01100167366  0.642567165  0.640567396  0.642767259  0.64144076350421  0.6419
01101067445  0.643267158  0.640567512  0.643866980  0.63884076350421  0.6419
01101117953  0.171218584  0.177218405  0.175518331  0.17481101716330  0.1735
01110066879  0.637866950  0.638567494  0.643767246  0.64134076350421  0.6419
01110118278  0.174318560  0.177018221  0.173818241  0.17401101716330  0.1735
01111017989  0.171618243  0.174018140  0.173018392  0.17541101716330  0.1735
0111114167  0.03974250  0.04054302  0.04104281  0.0408260932815  0.0411
100000644367  6.1452641618  6.1189641915  6.1218643230  6.134338910617655  6.1275
100001220784  2.1056220008  2.0982219492  2.0932219989  2.098013340783196  2.1009
100010219764  2.0958220206  2.1000219722  2.0954219595  2.094213340783196  2.1009
10001167311  0.641967326  0.642167126  0.640267737  0.64604076350421  0.6419
100100220323  2.1012220354  2.1015220495  2.1028220487  2.102713340783196  2.1009
10010167439  0.643167557  0.644367449  0.643267710  0.64574076350421  0.6419
10011066959  0.638667110  0.640067693  0.645666672  0.63584076350421  0.6419
10011118142  0.173018157  0.173218198  0.173518441  0.17591101716330  0.1735
101000219874  2.0969219281  2.0912220756  2.1053220137  2.099413340783196  2.1009
10100167293  0.641867391  0.642767369  0.642567178  0.64074076350421  0.6419
10101067583  0.644567226  0.641167127  0.640266957  0.63864076350421  0.6419
10101118442  0.175918366  0.175218092  0.172518130  0.17291101716330  0.1735
10110067405  0.642866997  0.638967189  0.640867385  0.64264076350421  0.6419
10110118118  0.172818327  0.174818162  0.173218321  0.17471101716330  0.1735
10111018319  0.174718379  0.175318287  0.174418007  0.17171101716330  0.1735
1011114307  0.04114271  0.04074454  0.04254388  0.0418260932815  0.0411
110000220253  2.1005220874  2.1064219685  2.0951220768  2.105413340783196  2.1009
11000166943  0.638467297  0.641867444  0.643267400  0.64284076350421  0.6419
11001067072  0.639667514  0.643967507  0.643867183  0.64074076350421  0.6419
11001118146  0.173118262  0.174218286  0.174418209  0.17371101716330  0.1735
11010067461  0.643467239  0.641267171  0.640667182  0.64074076350421  0.6419
11010117968  0.171418222  0.173818241  0.174018339  0.17491101716330  0.1735
11011018148  0.173118091  0.172518286  0.174418320  0.17471101716330  0.1735
1101114342  0.04144437  0.04234243  0.04054402  0.0420260932815  0.0411
11100067411  0.642967445  0.643267543  0.644167566  0.64444076350421  0.6419
11100118407  0.175518319  0.174718234  0.173918144  0.17301101716330  0.1735
11101018032  0.172018063  0.172318447  0.175918342  0.17491101716330  0.1735
1110114321  0.04124205  0.04014287  0.04094306  0.0411260932815  0.0411
11110018256  0.174118260  0.174118197  0.173518051  0.17211101716330  0.1735
1111014350  0.04154353  0.04154336  0.04144342  0.0414260932815  0.0411
1111104265  0.04074309  0.04114284  0.04094354  0.0415260932815  0.0411
111111863  0.0082887  0.0085908  0.0087844  0.008053524680  0.0084
U = 6410485760 15.748310485760 15.749710485760 15.752310485760 15.7497635013559600 15.7500

TopMain

Diamond x-card map = dx

Diamond Seven = 32   Six = 16   Five = 8   Four = 4   Three = 2   Two = 1

ValueNorthSouthWestEastTheoretical
0000001681449 16.03551680025 16.02201679468 16.01671680418 16.0257101766230790 16.0258
000001642774  6.1300642601  6.1283642327  6.1257642433  6.126738910617655  6.1275
000010642384  6.1263641395  6.1168642150  6.1240643086  6.132938910617655  6.1275
000011220426  2.1021220573  2.1035220603  2.1038219815  2.096313340783196  2.1009
000100642510  6.1275642241  6.1249643048  6.1326641435  6.117238910617655  6.1275
000101220141  2.0994220003  2.0981220946  2.1071220694  2.104713340783196  2.1009
000110220057  2.0986219778  2.0960220660  2.1044220627  2.104113340783196  2.1009
00011166834  0.637467233  0.641267301  0.641867141  0.64034076350421  0.6419
001000642856  6.1308643807  6.1398642945  6.1316643702  6.138838910617655  6.1275
001001220206  2.1000220153  2.0995220491  2.1028220307  2.101013340783196  2.1009
001010220229  2.1003219646  2.0947220601  2.1038220499  2.102813340783196  2.1009
00101166901  0.638067486  0.643667376  0.642567151  0.64044076350421  0.6419
001100219944  2.0975219681  2.0950220687  2.1046220105  2.099113340783196  2.1009
00110167090  0.639867252  0.641467577  0.644567788  0.64654076350421  0.6419
00111067184  0.640767157  0.640567117  0.640167450  0.64334076350421  0.6419
00111118082  0.172418056  0.172218337  0.174918148  0.17311101716330  0.1735
010000643012  6.1322644199  6.1436642075  6.1233642720  6.129538910617655  6.1275
010001220534  2.1032219755  2.0957220321  2.1011219523  2.093513340783196  2.1009
010010220249  2.1005220056  2.0986219853  2.0967220807  2.105813340783196  2.1009
01001166888  0.637967167  0.640667689  0.645567345  0.64234076350421  0.6419
010100219814  2.0963220755  2.1053220908  2.1067220122  2.099213340783196  2.1009
01010167860  0.647267350  0.642367165  0.640567145  0.64034076350421  0.6419
01011067972  0.648266907  0.638167223  0.641167163  0.64054076350421  0.6419
01011118338  0.174918138  0.173018120  0.172818135  0.17291101716330  0.1735
011000220321  2.1011219940  2.0975219011  2.0887220945  2.107113340783196  2.1009
01100167435  0.643167097  0.639967290  0.641767521  0.64394076350421  0.6419
01101066723  0.636367644  0.645167533  0.644067416  0.64294076350421  0.6419
01101118163  0.173218102  0.172618578  0.177218349  0.17501101716330  0.1735
01110067479  0.643567031  0.639366942  0.638466713  0.63624076350421  0.6419
01110118228  0.173818446  0.175918158  0.173218258  0.17411101716330  0.1735
01111018041  0.172118259  0.174118398  0.175518123  0.17281101716330  0.1735
0111114354  0.04154274  0.04084381  0.04184232  0.0404260932815  0.0411
100000642999  6.1321643578  6.1376642923  6.1314640859  6.111738910617655  6.1275
100001220263  2.1006220029  2.0984221070  2.1083219693  2.095213340783196  2.1009
100010220101  2.0990219623  2.0945219734  2.0955220417  2.102113340783196  2.1009
10001166867  0.637767982  0.648367092  0.639867298  0.64184076350421  0.6419
100100220011  2.0982220838  2.1061220465  2.1025220038  2.098413340783196  2.1009
10010166961  0.638667880  0.647467241  0.641367704  0.64574076350421  0.6419
10011067912  0.647767538  0.644167190  0.640867626  0.64494076350421  0.6419
10011118296  0.174518206  0.173618305  0.174618243  0.17401101716330  0.1735
101000220534  2.1032219623  2.0945219932  2.0974220537  2.103213340783196  2.1009
10100167576  0.644567304  0.641967439  0.643166973  0.63874076350421  0.6419
10101067552  0.644267334  0.642167431  0.643167307  0.64194076350421  0.6419
10101118053  0.172218157  0.173218411  0.175618097  0.17261101716330  0.1735
10110066945  0.638467556  0.644367212  0.641067129  0.64024076350421  0.6419
10110118197  0.173517955  0.171218133  0.172918121  0.17281101716330  0.1735
10111018409  0.175618285  0.174418276  0.174318069  0.17231101716330  0.1735
1011114188  0.03994309  0.04114347  0.04154320  0.0412260932815  0.0411
110000220146  2.0995220588  2.1037219524  2.0935219554  2.093813340783196  2.1009
11000167260  0.641467294  0.641867088  0.639867450  0.64334076350421  0.6419
11001067239  0.641267620  0.644967682  0.645567822  0.64684076350421  0.6419
11001118192  0.173518310  0.174618285  0.174418195  0.17351101716330  0.1735
11010067442  0.643267403  0.642866944  0.638467220  0.64114076350421  0.6419
11010117969  0.171418323  0.174717969  0.171418226  0.17381101716330  0.1735
11011018411  0.175618130  0.172918292  0.174418607  0.17751101716330  0.1735
1101114377  0.04174330  0.04134210  0.04014312  0.0411260932815  0.0411
11100067220  0.641166832  0.637467095  0.639968052  0.64904076350421  0.6419
11100118095  0.172618163  0.173218073  0.172418308  0.17461101716330  0.1735
11101018196  0.173518145  0.173018011  0.171818163  0.17321101716330  0.1735
1110114364  0.04164376  0.04174278  0.04084328  0.0413260932815  0.0411
11110017975  0.171418357  0.175118288  0.174418335  0.17491101716330  0.1735
1111014303  0.04104363  0.04164257  0.04064269  0.0407260932815  0.0411
1111104322  0.04124287  0.04094398  0.04194302  0.0410260932815  0.0411
111111907  0.0086835  0.0080886  0.0084870  0.008353524680  0.0084
U = 6410485760 15.748410485760 15.756410485760 15.744810485760 15.7505635013559600 15.7500

TopMain

Club x-card map = cx

Club Seven = 32   Six = 16   Five = 8   Four = 4   Three = 2   Two = 1

ValueNorthSouthWestEastTheoretical
0000001678966 16.01191679087 16.01301681257 16.03371680490 16.0264101766230790 16.0258
000001642845  6.1306641002  6.1131642612  6.1284642215  6.124638910617655  6.1275
000010642159  6.1241643189  6.1339641936  6.1220642365  6.126138910617655  6.1275
000011220601  2.1038220466  2.1025219797  2.0961220707  2.104813340783196  2.1009
000100642359  6.1260643108  6.1332642914  6.1313642650  6.128838910617655  6.1275
000101220089  2.0989220464  2.1025221135  2.1089220766  2.105413340783196  2.1009
000110220740  2.1051221175  2.1093219760  2.0958220501  2.102913340783196  2.1009
00011167179  0.640767084  0.639867387  0.642767265  0.64154076350421  0.6419
001000641996  6.1226642082  6.1234642907  6.1312642746  6.129738910617655  6.1275
001001219869  2.0968220194  2.0999220789  2.1056220563  2.103513340783196  2.1009
001010219669  2.0949219770  2.0959220671  2.1045221558  2.112913340783196  2.1009
00101167729  0.645967541  0.644166682  0.635967328  0.64214076350421  0.6419
001100220304  2.1010220414  2.1020220980  2.1074220482  2.102713340783196  2.1009
00110167405  0.642867201  0.640967457  0.643366993  0.63894076350421  0.6419
00111067417  0.642967683  0.645567267  0.641566814  0.63724076350421  0.6419
00111118212  0.173718115  0.172818275  0.174318232  0.17391101716330  0.1735
010000642499  6.1273643286  6.1349642375  6.1262641583  6.118638910617655  6.1275
010001221228  2.1098220763  2.1054220223  2.1002220947  2.107113340783196  2.1009
010010219715  2.0954220796  2.1057220286  2.1008220633  2.104113340783196  2.1009
01001167337  0.642267168  0.640667272  0.641667397  0.64274076350421  0.6419
010100220081  2.0989219371  2.0921220401  2.1019219844  2.096613340783196  2.1009
01010167160  0.640567426  0.643066836  0.637467478  0.64354076350421  0.6419
01011067662  0.645367448  0.643266955  0.638567296  0.64184076350421  0.6419
01011117986  0.171518207  0.173618083  0.172518279  0.17431101716330  0.1735
011000219490  2.0932220258  2.1005219884  2.0970220268  2.100613340783196  2.1009
01100167190  0.640866989  0.638967523  0.643967332  0.64214076350421  0.6419
01101066918  0.638268077  0.649266813  0.637267561  0.64434076350421  0.6419
01101118252  0.174118418  0.175618377  0.175318129  0.17291101716330  0.1735
01110067421  0.643067529  0.644067208  0.640967427  0.64304076350421  0.6419
01110117926  0.171018361  0.175118390  0.175418370  0.17521101716330  0.1735
01111018095  0.172617782  0.169618176  0.173318235  0.17391101716330  0.1735
0111114351  0.04154188  0.03994313  0.04114393  0.0419260932815  0.0411
100000643278  6.1348642747  6.1297643886  6.1406641819  6.120938910617655  6.1275
100001220666  2.1044220329  2.1012219118  2.0897220234  2.100313340783196  2.1009
100010220469  2.1026221094  2.1085219886  2.0970219834  2.096513340783196  2.1009
10001167326  0.642167151  0.640466980  0.638866968  0.63874076350421  0.6419
100100221038  2.1080219519  2.0935220532  2.1032219977  2.097913340783196  2.1009
10010167127  0.640267435  0.643167366  0.642567079  0.63974076350421  0.6419
10011067622  0.644967312  0.641966837  0.637467455  0.64334076350421  0.6419
10011118418  0.175618033  0.172018107  0.172718214  0.17371101716330  0.1735
101000219925  2.0974220504  2.1029221203  2.1096220083  2.098913340783196  2.1009
10100167313  0.641967234  0.641267567  0.644467095  0.63994076350421  0.6419
10101067153  0.640467265  0.641567116  0.640167001  0.63904076350421  0.6419
10101118173  0.173318265  0.174218355  0.175018115  0.17281101716330  0.1735
10110067101  0.639967323  0.642067482  0.643666987  0.63884076350421  0.6419
10110118465  0.176118083  0.172518086  0.172518205  0.17361101716330  0.1735
10111018202  0.173618155  0.173118191  0.173518026  0.17191101716330  0.1735
1011114303  0.04104261  0.04064202  0.04014370  0.0417260932815  0.0411
110000221270  2.1102219711  2.0953220847  2.1062220201  2.100013340783196  2.1009
11000167954  0.648166864  0.637767496  0.643767174  0.64064076350421  0.6419
11001067422  0.643067755  0.646267126  0.640267602  0.64474076350421  0.6419
11001118221  0.173818155  0.173118136  0.173018179  0.17341101716330  0.1735
11010067549  0.644266964  0.638667093  0.639867063  0.63964076350421  0.6419
11010118025  0.171918188  0.173518098  0.172618249  0.17401101716330  0.1735
11011018217  0.173718156  0.173118129  0.172918155  0.17311101716330  0.1735
1101114173  0.03984325  0.04124249  0.04054387  0.0418260932815  0.0411
11100067147  0.640467880  0.647466962  0.638667451  0.64334076350421  0.6419
11100118247  0.174018330  0.174817988  0.171518318  0.17471101716330  0.1735
11101018151  0.173118147  0.173118222  0.173818388  0.17541101716330  0.1735
1110114193  0.04004253  0.04064260  0.04064303  0.0410260932815  0.0411
11110018221  0.173818163  0.173217960  0.171318332  0.17481101716330  0.1735
1111014356  0.04154308  0.04114281  0.04084376  0.0417260932815  0.0411
1111104324  0.04124300  0.04104161  0.03974400  0.0420260932815  0.0411
111111861  0.0082909  0.0087897  0.0086873  0.008353524680  0.0084
U = 6410485760 15.759110485760 15.751310485760 15.744310485760 15.7454635013559600 15.7500

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