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Pneumatic / Hydraulic Cylinder Bore / Force Calculator


'lb' = pounds & 'oz' = ounces.
Unit shown in red is the SI 'preferred' unit.
Very large and very small numbers appear in e-Format and are unspaced.
Unvalued (trailing) zeros on all numbers have been suppressed.
Pneumatic
 Available pressure: PSI
 Available pressure: MPa
 Force generated: Foot Pounds
 Force generated: Newton Meters
 Area required: Square Inches
 Cylinder bore size: inches
 Cylinder bore size: mm
Hydraulic Master
 Cylinder bore: inches
 Cylinder bore: mm
 Area: Square Inches
 Travel: Inches
 Travel: mm

Hydraulic Slave
 Cylinder bore: inches
 Cylinder bore: mm
 Area: Square Inches
 Power factor:
 Force generated: Foot Pounds
 Force generated: Newton Meters
 Travel: Inches
 Travel: mm


Unit shown in red are changeable.

Angle / Taper Information
There are two common tapers used in mill spindles, the Imperial standard 8°, 17', 50" and Metric standard 7:24 (8°, 17', 49.725")
Whole Degrees Minutes Seconds

Decimal degrees
4 decimal places
Decimal degrees
5 decimal places
Decimal degrees
6 decimal places
Decimal degrees
7 decimal places

The calculation equation is simply: Decimal degrees = whole number of degrees, plus minutes divided by 60, plus seconds divided by 3600


Reverse process:  Input decimal degrees and the result is given in deg/min/sec format.

Decimal Degrees

Whole degrees Minutes Seconds

Sine Bar Constants Charts
These charts contain information on metric and imperial sine bar constants.
IMPERIAL - 5"      (Machine Taper = 18.327141mm or 0.721541in)
MIN 10°
0
1
2
3
4

5
6
7
8
9

10
11
12
13
14

15
16
17
18
19

20
21
22
23
24

25
26
27
28
29

30
31
32
33
34

35
36
37
38
39

40
41
42
43
44

45
46
47
48
49

50
51
52
53
54

55
56
57
58
59
0.000000
.001454
.002909
.004363
.005818

0.007272
.008727
.010181
.011636
.013090

0.014544
.015999
.017453
.018908
.020362

0.021817
.023271
.024725
.026180
.027634

0.029089
.030543
.031997
.033452
.034906

0.036361
.037815
.039270
.040724
.042178

0.043633
.045087
.046541
.047996
.049450

0.050905
.052359
.053813
.055268
.056722

0.058176
.059631
.061085
.062539
.063994

0.065448
.066902
.068357
.069811
.071265

0.072719
.074174
.075628
.077082
.078537

0.079991
.081445
.082899
.084354
.085808
0.087262
.088716
.090170
.091625
.093079

0.094533
.095987
.097441
.098896
.100350

0.101804
.103258
.104712
.106166
.107620

0.109074
.110529
.111983
.113437
.114891

0.116345
.117799
.119253
.120707
.122161

0.123615
.125069
.126523
.127977
.129431

0.130885
.132339
.133793
.135247
.136700

0.138154
.139608
.141062
.142516
.143970

0.145424
.146877
.148331
.149785
.151239

0.152693
.154146
.155600
.157054
.158508

0.159961
.161415
.162869
.164322
.165776

0.167230
.168683
.170137
.171590
.173044
0.174497
.175951
.177405
.178858
.180312

0.181765
.183219
.184672
.186125
.187579

0.189032
.190486
.191939
.193392
.194846

0.196299
.197752
.199206
.200659
.202112

0.203565
.205019
.206472
.207925
.209378

0.210831
.212285
.213738
.215191
.216644

0.218097
.219550
.221003
.222456
.223909

0.225362
.226815
.228268
.229721
.231174

0.232627
.234079
.235532
.236985
.238438

0.239891
.241343
.242796
.244249
.245702

0.247154
.248607
.250060
.251512
.252965

0.254417
.255870
.257322
.258775
.260227
0.261680
.263132
.264585
.266037
.267489

0.268942
.270394
.271846
.273299
.274751

0.276203
.277655
.279108
.280560
.282012

0.283464
.284916
.286368
.287820
.289272

0.290724
.292176
.293628
.295080
.296532

0.297984
.299436
.300887
.302339
.303791

0.305243
.306694
.308146
.309598
.311049

0.312501
.313953
.315404
.316856
.318307

0.319759
.321210
.322662
.324113
.325564

0.327016
.328467
.329918
.331370
.332821

0.334272
.335723
.337174
.338625
.340076

0.341528
.342979
.344430
.345881
.347331
0.348782
.350233
.351684
.353135
.354586

0.356036
.357487
.358938
.360389
.361839

0.363290
.364740
.366191
.367642
.369092

0.370542
.371993
.373443
.374894
.376344

0.377794
.379245
.380695
.382145
.383595

0.385045
.386495
.387945
.389395
.390846

0.392295
.393745
.395195
.396645
.398095

0.399545
.400995
.402444
.403894
.405344

0.406793
.408243
.409693
.411142
.412592

0.414041
.415490
.416940
.418389
.419839

0.421288
.422737
.424186
.425635
.427085

0.428534
.429983
.431432
.432881
.434330
0.435779
.437228
.438676
.440125
.441574

0.443023
.444471
.445920
.447369
.448817

0.450266
.451714
.453163
.454611
.456060

0.457508
.458956
.460405
.461853
.463301

0.464749
.466197
.467646
.469094
.470542

0.471990
.473437
.474885
.476333
.477781

0.479229
.480676
.482124
.483572
.485019

0.486467
.487914
.489362
.490809
.492257

0.493704
.495151
.496599
.498046
.499493

0.500940
.502387
.503834
.505281
.506728

0.508175
.509622
.511069
.512516
.513963

0.515409
.516856
.518303
.519749
.521196
0.522642
.524089
.525535
.526982
.528428

0.529874
.531320
.532767
.534213
.535659

0.537105
.538551
.539997
.541443
.542889

0.544334
.545780
.547226
.548672
.550117

0.551563
.553008
.554454
.555899
.557345

0.558790
.560235
.561681
.563126
.564571

0.566016
.567461
.568906
.570351
.571796

0.573241
.574686
.576131
.577575
.579020

0.580465
.581909
.583354
.584798
.586243

0.587687
.589131
.590576
.592020
.593464

0.594908
.596352
.597796
.599240
.600684

0.602128
.603572
.605016
.606459
.607903
0.609347
.610790
.612234
.613677
.615121

0.616564
.618007
.619451
.620894
.622337

0.623780
.625223
.626666
.628109
.629552

0.630995
.632438
.633880
.635323
.636766

0.638208
.639651
.641093
.642536
.643978

0.645420
.646863
.648305
.649747
.651189

0.652631
.654073
.655515
.656957
.658399

0.659840
.661282
.662724
.664165
.665607

0.667048
.668490
.669931
.671372
.672813

0.674255
.675696
.677137
.678578
.680019

0.681460
.682901
.684341
.685782
.687223

0.688663
.690104
.691544
.692985
.694425
0.695866
.697306
.698746
.700186
.701626

0.703066
.704506
.705946
.707386
.708826

0.710265
.711705
.713145
.714584
.716024

0.717463
.718902
.720342
.721781
.723220

0.724659
.726098
.727537
.728976
.730415

0.731854
.733293
.734731
.736170
.737609

0.739047
.740485
.741924
.743362
.744800

0.746239
.747677
.749115
.750553
.751991

0.753429
.754866
.756304
.757742
.759179

0.760617
.762054
.763492
.764929
.766366

0.767804
.769241
.770678
.772115
.773552

0.774989
.776426
.777862
.779299
.780736
0.782172
.783609
.785045
.786482
.787918

0.789354
.790790
.792226
.793662
.795098

0.796534
.797970
.799406
.800842
.802277

0.803713
.805148
.806584
.808019
.809454

0.810890
.812325
.813760
.815195
.816630

0.818065
.819499
.820934
.822369
.823803

0.825238
.826672
.828107
.829541
.830975

0.832410
.833844
.835278
.836712
.838146

0.839579
.841013
.842447
.843881
.845314

0.846748
.848181
.849614
.851047
.852481

0.853914
.855347
.856780
.858213
.859646

0.861078
.862511
.863944
.865376
.866809
0.868241
.869673
.871105
.872538
.873970

0.875402
.876834
.878265
.879697
.881129

0.882561
.883992
.885424
.886855
.888286

0.889718
.891149
.892580
.894011
.895442

0.896873
.898304
.899734
.901165
.902596

0.904026
.905457
.906887
.908317
.909748

0.911178
.912608
.914038
.915468
.916897

0.918327
.919757
.921186
.922616
.924045

0.925475
.926904
.928333
.929762
.931191

0.932620
.934049
.935478
.936907
.938335

0.939764
.941192
.942621
.944049
.945477

0.946905
.948333
.949761
.951189
.952617

METRIC - 125mm      (Machine Taper = 18.0385mm or 0.710177in)
MIN 10°
0
1
2
3
4

5
6
7
8
9

10
11
12
13
14

15
16
17
18
19

20
21
22
23
24

25
26
27
28
29

30
31
32
33
34

35
36
37
38
39

40
41
42
43
44

45
46
47
48
49

50
51
52
53
54

55
56
57
58
59
0.0000
.0364
.0727
.1091
.1454

0.1818
.2182
.2545
.2909
.3272

0.3636
.4000
.4363
.4727
.5091

0.5454
.5818
.6181
.6545
.6909

0.7272
.7636
.7999
.8363
.8727

0.9090
.9454
.9817
1.0181
.0545

1.0908
.1272
.1635
.1999
.2363

1.2726
.3090
.3453
.3817
.4180

1.4544
.4908
.5271
.5635
.5998

1.6362
.6726
.7089
.7453
.7816

1.8180
.8543
.8907
.9271
.9634

1.9998
2.0361
.0725
.1088
.1452
2.1816
.2179
.2543
.2906
.3270

2.3633
.3997
.4360
.4724
.5087

2.5451
.5814
.6178
.6542
.6905

2.7269
.7632
.7996
.8359
.8723

2.9086
.9450
.9813
3.0177
.0540

3.0904
.1267
.1631
.1994
.2358

3.2721
.3085
.3448
.3812
.4175

3.4539
.4902
.5266
.5629
.5992

3.6356
.6719
.7083
.7446
.7810

3.8173
.8537
.8900
.9263
.9627

3.9990
4.0354
.0717
.1081
.1444

4.1807
.2171
.2534
.2898
.3261
4.3624
.3988
.4351
.4715
.5078

4.5441
.5805
.6168
.6531
.6895

4.7258
.7621
.7985
.8348
.8711

4.9075
.9438
.9801
5.0165
.0528

5.0891
.1255
.1618
.1981
.2345

5.2708
.3071
.3434
.3798
.4161

5.4524
.4887
.5251
.5614
.5977

5.6340
.6704
.7067
.7430
.7793

5.8157
.8520
.8883
.9246
.9609

5.9973
6.0336
.0699
.1062
.1425

6.1789
.2152
.2515
.2878
.3241

6.3604
.3967
.4331
.4694
.5057
6.5420
.5783
.6146
.6509
.6872

6.7235
.7599
.7962
.8325
.8688

6.9051
.9414
.9777
7.0140
.0503

7.0866
.1229
.1592
.1955
.2318

7.2681
.3044
.3407
.3770
.4133

7.4496
.4859
.5222
.5585
.5948

7.6311
.6674
.7037
.7399
.7762

7.8125
.8488
.8851
.9214
.9577

7.9940
8.0303
.0665
.1028
.1391

8.1754
.2117
.2480
.2842
.3205

8.3568
.3931
.4294
.4656
.5019

8.5382
.5745
.6107
.6470
.6833
8.7196
.7558
.7921
.8284
.8646

8.9009
.9372
.9734
9.0097
.0460

9.0822
.1185
.1548
.1910
.2273

9.2636
.2998
.3361
.3723
.4086

9.4449
.4811
.5174
.5536
.5899

9.6261
.6624
.6986
.7349
.7711

9.8074
.8436
.8799
.9161
.9524

9.9886
10.0249
.0611
.0974
.1336

10.1698
.2061
.2423
.2786
.3148

10.3510
.3873
.4235
.4597
.4960

10.5322
.5684
.6047
.6409
.6771

10.7133
.7496
.7858
.8220
.8582
10.8945
.9307
.9669
11.0031
.0394

11.0756
.1118
.1480
.1842
.2204

11.2566
.2929
.3291
.3653
.4015

11.4377
.4739
.5101
.5463
.5825

11.6187
.6549
.6911
.7273
.7635

11.7997
.8359
.8721
.9083
.9445

11.9807
12.0169
.0531
.0893
.1255

12.1617
.1979
.2340
.2702
.3064

12.3426
.3788
.4150
.4511
.4873

12.5235
.5597
.5959
.6320
.6682

12.7044
.7406
.7767
.8129
.8491

12.8852
.9214
.9576
.9937
13.0299
13.0661
.1022
.1384
.1745
.2107

13.2469
.2830
.3192
.3553
.3915

13.4276
.4638
.4999
.5361
.5722

13.6084
.6445
.6806
.7168
.7529

13.7891
.8252
.8613
.8975
.9336

13.9698
14.0059
.0420
.0781
.1143

14.1504
.1865
.2227
.2588
.2949

14.3310
.3671
.4033
.4394
.4755

14.5116
.5477
.5838
.6200
.6561

14.6922
.7283
.7644
.8005
.8366

14.8727
.9088
.9449
.9810
15.0171

15.0532
.0893
.1254
.1615
.1976
15.2337
.2698
.3058
.3419
.3780

15.4141
.4502
.4863
.5223
.5584

15.5945
.6306
.6667
.7027
.7388

15.7749
.8109
.8470
.8831
.9191

15.9552
.9913
16.0273
.0634
.0994

16.1355
.1716
.2076
.2437
.2797

16.3158
.3518
.3879
.4239
.4600

16.4960
.5320
.5681
.6041
.6402

16.6762
.7122
.7483
.7843
.8203

16.8564
.8924
.9284
.9644
17.0005

17.0365
.0725
.1085
.1446
.1806

17.2166
.2526
.2886
.3246
.3606
17.3966
.4326
.4686
.5047
.5407

17.5767
.6127
.6487
.6846
.7206

17.7566
.7926
.8286
.8646
.9006

17.9366
.9726
18.0085
.0445
.0805

18.1165
.1525
.1884
.2244
.2604

18.2963
.3323
.3683
.4043
.4402

18.4762
.5121
.5481
.5841
.6200

18.6560
.6919
.7279
.7638
.7998

18.8357
.8717
.9076
.9435
.9795

19.0154
.0514
.0873
.1232
.1592

19.1951
.2310
.2669
.3029
.3388

19.3747
.4106
.4466
.4825
.5184
19.5543
.5902
.6261
.6620
.6979

19.7339
.7698
.8057
.8416
.8775

19.9134
.9493
.9851
20.0210
.0569

20.0928
.1287
.1646
.2005
.2364

20.2722
.3081
.3440
.3799
.4157

20.4516
.4875
.5234
.5592
.5951

20.6310
.6668
.7027
.7385
.7744

20.8102
.8461
.8819
.9178
.9536

20.9895
21.0253
.0612
.0970
.1329

21.1687
.2045
.2404
.2762
.3120

21.3478
.3837
.4195
.4553
.4911

21.5270
.5628
.5986
.6344
.6702
21.7060
.7418
.7776
.8134
.8492

21.8850
.9208
.9566
.9924
22.0282

22.0640
.0998
.1356
.1714
.2072

22.2429
.2787
.3145
.3503
.3861

22.4218
.4576
.4934
.5291
.5649

22.6007
.6364
.6722
.7079
.7437

22.7794
.8152
.8509
.8867
.9224

22.9582
.9939
23.0297
.0654
.1011

23.1369
.1726
.2083
.2441
.2798

23.3155
.3512
.3869
.4227
.4584

23.4941
.5298
.5655
.6012
.6369

23.6726
.7083
.7440
.7797
.8154

METRIC - 100mm      (Machine Taper = 14.430823mm or 0.568143in)
MIN 10°
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0.00000
.02909
.05818
.08727
.11636

0.14544
.17453
.20362
.23271
.26180

0.29089
.31998
.34907
.37815
.40724

0.43633
.46542
.49451
.52360
.55268

0.58177
.61086
.63995
.66904
.69813

0.72721
.75630
.78539
.81448
.84357

0.87265
.90174
.93083
.95992
.98900

1.01809
.04718
.07627
.10535
.13444

1.16353
.19261
.22170
.25079
.27987

1.30896
.33805
.36713
.39622
.42530

1.45439
.48348
.51256
.54165
.57073

1.59982
.62890
.65799
.68707
.71616
1.74524
.77432
.80341
.83249
.86158

1.89066
.91974
.94883
.97791
2.00699

2.03608
.06516
.09424
.12332
.15241

2.18149
.21057
.23965
.26873
.29781

2.32690
.35598
.38506
.41414
.44322

2.47230
.50138
.53046
.55954
.58862

2.61769
.64677
.67585
.70493
.73401

2.76309
.79216
.82124
.85032
.87940

2.90847
.93755
.96662
.99570
3.02478

3.05385
.08293
.11200
.14108
.17015

3.19922
.22830
.25737
.28644
.31552

3.34459
.37366
.40274
.43181
.46088
3.48995
.51902
.54809
.57716
.60623

3.63530
.66437
.69344
.72251
.75158

3.78065
.80971
.83878
.86785
.89692

3.92598
.95505
.98411
4.01318
.04224

4.07131
.10037
.12944
.15850
.18757

4.21663
.24569
.27475
.30382
.33288

4.36194
.39100
.42006
.44912
.47818

4.50724
.53630
.56536
.59442
.62347

4.65253
.68159
.71065
.73970
.76876

4.79781
.82687
.85592
.88498
.91403

4.94308
.97214
5.00119
.03024
.05929

5.08835
.11740
.14645
.17550
.20455
5.23360
.26264
.29169
.32074
.34979

5.37883
.40788
.43693
.46597
.49502

5.52406
.55311
.58215
.61119
.64024

5.66928
.69832
.72736
.75640
.78544

5.81448
.84352
.87256
.90160
.93064

5.95967
.98871
6.01775
.04678
.07582

6.10485
.13389
.16292
.19196
.22099

6.25002
.27905
.30808
.33711
.36614

6.39517
.42420
.45323
.48226
.51129

6.54031
.56934
.59836
.62739
.65641

6.68544
.71446
.74348
.77251
.80153

6.83055
.85957
.88859
.91761
.94663
6.97565
7.00467
.03368
.06270
.09171

7.12073
.14974
.17876
.20777
.23678

7.26580
.29481
.32382
.35283
.38184

7.41085
.43986
.46887
.49787
.52688

7.55589
.58489
.61390
.64290
.67190

7.70091
.72991
.75891
.78791
.81691

7.84591
.87491
.90391
.93290
.96190

7.99090
8.01989
.04889
.07788
.10687

8.13587
.16486
.19385
.22284
.25183

8.28082
.30981
.33880
.36778
.39677

8.42576
.45474
.48373
.51271
.54169

8.57067
.59966
.62864
.65762
.68660
8.71557
.74455
.77353
.80251
.83148

8.86046
.88943
.91840
.94738
.97635

9.00532
.03429
.06326
.09223
.12119

9.15016
.17913
.20809
.23706
.26602

9.29499
.32395
.35291
.38187
.41083

9.43979
.46875
.49771
.52666
.55562

9.58458
.61353
.64248
.67144
.70039

9.72934
.75829
.78724
.81619
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9.87408
.90303
.93197
.96092
.98986

10.01881
.04775
.07669
.10563
.13457

10.16351
.19245
.22138
.25032
.27925

10.30819
.33712
.36605
.39499
.42392
10.45285
.48178
.51070
.53963
.56856

10.59748
.62641
.65533
.68425
.71318

10.74210
.77102
.79994
.82885
.85777

10.88669
.91560
.94452
.97343
11.00234

11.03126
.06017
.08908
.11799
.14689

11.17580
.20471
.23361
.26252
.29142

11.32032
.34922
.37812
.40702
.43592

11.46482
.49372
.52261
.55151
.58040

11.60929
.63818
.66707
.69596
.72485

11.75374
.78263
.81151
.84040
.86928

11.89816
.92704
.95593
.98481
12.01368

12.04256
.07144
.10031
.12919
.15806
12.18693
.21581
.24468
.27355
.30241

12.33128
.36015
.38901
.41788
.44674

12.47560
.50446
.53332
.56218
.59104

12.61990
.64875
.67761
.70646
.73531

12.76416
.79302
.82186
.85071
.87956

12.90841
.93725
.96609
.99494
13.02378

13.05262
.08146
.11030
.13913
.16797

13.19681
.22564
.25447
.28330
.31213

13.34096
.36979
.39862
.42744
.45627

13.48509
.51392
.54274
.57156
.60038

13.62919
.65801
.68683
.71564
.74445

13.77327
.80208
.83089
.85970
.88850
13.91731
.94612
.97492
14.00372
.03252

14.06132
.09012
.11892
.14772
.17651

14.20531
.23410
.26289
.29168
.32047

14.34926
.37805
.40684
.43562
.46440

14.49319
.52197
.55075
.57953
.60830

14.63708
.66585
.69463
.72340
.75217

14.78094
.80971
.83848
.86724
.89601

14.92477
.95353
.98230
15.01106
.03981

15.06857
.09733
.12608
.15484
.18359

15.21234
.24109
.26984
.29858
.32733

15.35607
.38482
.41356
.44230
.47104

15.49978
.52851
.55725
.58598
.61472
15.64345
.67218
.70091
.72963
.75836

15.78708
.81581
.84453
.87325
.90197

15.93069
.95940
.98812
16.01683
.04555

16.07426
.10297
.13167
.16038
.18909

16.21779
.24650
.27520
.30390
.33260

16.36129
.38999
.41868
.44738
.47607

16.50476
.53345
.56214
.59082
.61951

16.64819
.67687
.70556
.73423
.76291

16.79159
.82026
.84894
.87761
.90628

16.93495
.96362
.99228
17.02095
.04961

17.07828
.10694
.13560
.16425
.19291

17.22156
.25022
.27887
.30752
.33617
17.36482
.39346
.42211
.45075
.47939

17.50803
.53667
.56531
.59395
.62258

17.65121
.67984
.70847
.73710
.76573

17.79435
.82298
.85160
.88022
.90884

17.93746
.96607
.99469
18.02330
.05191

18.08052
.10913
.13774
.16635
.19495

18.22355
.25215
.28075
.30935
.33795

18.36654
.39514
.42373
.45232
.48091

18.50949
.53808
.56666
.59524
.62382

18.65240
.68098
.70956
.73813
.76670

18.79528
.82385
.85241
.88098
.90954

18.93811
.96667
.99523
19.02379
.05234

METRIC - 75mm      (Machine Taper = 10.823121mm or 0.426107in)
MIN 10°
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0.00000
.02182
.04363
.06545
.08727

0.10908
.13090
.15272
.17453
.19635

0.21817
.23998
.26180
.28362
.30543

0.32725
.34906
.37088
.39270
.41451

0.43633
.45815
.47996
.50178
.52359

0.54541
.56723
.58904
.61086
.63267

0.65449
.67631
.69812
.71994
.74175

0.76357
.78538
.80720
.82901
.85083

0.87264
.89446
.91628
.93809
.95990

0.98172
1.00353
.02535
.04716
.06898

1.09079
.11261
.13442
.15623
.17805

1.19986
.22168
.24349
.26530
.28712
1.30893
.33074
.35256
.37437
.39618

1.41800
.43981
.46162
.48343
.50525

1.52706
.54887
.57068
.59249
.61430

1.63612
.65793
.67974
.70155
.72336

1.74517
.76698
.78879
.81060
.83241

1.85422
.87603
.89784
.91965
.94146

1.96327
.98508
2.00689
.02870
.05051

2.07231
.09412
.11593
.13774
.15955

2.18135
.20316
.22497
.24678
.26858

2.29039
.31219
.33400
.35581
.37761

2.39942
.42122
.44303
.46483
.48664

2.50844
.53025
.55205
.57386
.59566
2.61746
.63927
.66107
.68287
.70467

2.72648
.74828
.77008
.79188
.81368

2.83548
.85729
.87909
.90089
.92269

2.94449
.96629
.98809
3.00988
.03168

3.05348
.07528
.09708
.11888
.14067

3.16247
.18427
.20607
.22786
.24966

3.27145
.29325
.31505
.33684
.35864

3.38043
.40222
.42402
.44581
.46761

3.48940
.51119
.53298
.55478
.57657

3.59836
.62015
.64194
.66373
.68552

3.70731
.72910
.75089
.77268
.79447

3.81626
.83805
.85984
.88162
.90341
3.92520
.94698
.96877
.99056
4.01234

4.03413
.05591
.07770
.09948
.12126

4.14305
.16483
.18661
.20840
.23018

4.25196
.27374
.29552
.31730
.33908

4.36086
.38264
.40442
.42620
.44798

4.46976
.49153
.51331
.53509
.55686

4.57864
.60042
.62219
.64397
.66574

4.68752
.70929
.73106
.75284
.77461

4.79638
.81815
.83992
.86169
.88346

4.90523
.92700
.94877
.97054
.99231

5.01408
.03585
.05761
.07938
.10115

5.12291
.14468
.16644
.18821
.20997
5.23174
.25350
.27526
.29702
.31879

5.34055
.36231
.38407
.40583
.42759

5.44935
.47111
.49286
.51462
.53638

5.55814
.57989
.60165
.62340
.64516

5.66691
.68867
.71042
.73217
.75393

5.77568
.79743
.81918
.84093
.86268

5.88443
.90618
.92793
.94968
.97143

5.99317
6.01492
.03667
.05841
.08016

6.10190
.12364
.14539
.16713
.18887

6.21062
.23236
.25410
.27584
.29758

6.31932
.34106
.36279
.38453
.40627

6.42801
.44974
.47148
.49321
.51495
6.53668
.55841
.58015
.60188
.62361

6.64534
.66707
.68880
.71053
.73226

6.75399
.77572
.79744
.81917
.84090

6.86262
.88435
.90607
.92779
.94952

6.97124
.99296
7.01468
.03640
.05812

7.07984
.10156
.12328
.14500
.16671

7.18843
.21015
.23186
.25358
.27529

7.29700
.31872
.34043
.36214
.38385

7.40556
.42727
.44898
.47069
.49240

7.51410
.53581
.55752
.57922
.60093

7.62263
.64433
.66604
.68774
.70944

7.73114
.75284
.77454
.79624
.81794
7.83963
.86133
.88303
.90472
.92642

7.94811
.96981
.99150
8.01319
.03488

8.05657
.07826
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.12164
.14333

8.16502
.18670
.20839
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8.27344
.29512
.31681
.33849
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8.38185
.40353
.42521
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8.49024
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8.59861
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8.70697
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8.81530
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8.92362
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9.03192
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9.14020
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9.24846
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.31341
.33506

9.35670
.37835
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.42164
.44328

9.46492
.48656
.50821
.52985
.55149

9.57312
.59476
.61640
.63803
.65967

9.68130
.70294
.72457
.74620
.76783

9.78946
.81109
.83272
.85435
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9.89760
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10.00572
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10.11382
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10.22190
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10.32995
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10.43798
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10.54599
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10.65398
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10.76195
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10.86989
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10.97781
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11.08571
.10728
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11.19358
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11.30143
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11.40925
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11.51706
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11.62483
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11.84031
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11.94802
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12.05569
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12.37857
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12.48614
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12.59369
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12.70121
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12.80871
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12.91617
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13.02361
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13.13103
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13.56039
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13.98930
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14.09646
.11788
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14.20358
.22500
.24642
.26784
.28926

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