Engineering Tables/Chi-Squared Distibution

< Engineering Tables

Table of values of χ² in a Chi-Squared Distribution with k degrees of freedom such that p is the area between χ² and +∞

k

Probability Content, p, between χ² and +∞

0.995

0.99

0.975

0.95

0.9

0.75

0.5

0.25

0.1

0.05

0.025

0.01

0.005

0.002

0.001

1

3.927e-5

1.570e-4

9.820e-4

0.00393

0.0157

0.102

0.455

1.323

2.706

3.841

5.024

6.635

7.879

9.550

10.828

2

0.0100

0.0201

0.0506

0.103

0.211

0.575

1.386

2.773

4.605

5.991

7.378

9.210

10.597

12.429

13.816

3

0.0717

0.115

0.216

0.352

0.584

1.213

2.366

4.108

6.251

7.815

9.348

11.345

12.838

14.796

16.266

4

0.207

0.297

0.484

0.711

1.064

1.923

3.357

5.385

7.779

9.488

11.143

13.277

14.860

16.924

18.467

5

0.412

0.554

0.831

1.145

1.610

2.675

4.351

6.626

9.236

11.070

12.833

15.086

16.750

18.907

20.515

6

0.676

0.872

1.237

1.635

2.204

3.455

5.348

7.841

10.645

12.592

14.449

16.812

18.548

20.791

22.458

7

0.989

1.239

1.690

2.167

2.833

4.255

6.346

9.037

12.017

14.067

16.013

18.475

20.278

22.601

24.322

8

1.344

1.646

2.180

2.733

3.490

5.071

7.344

10.219

13.362

15.507

17.535

20.090

21.955

24.352

26.124

9

1.735

2.088

2.700

3.325

4.168

5.899

8.343

11.389

14.684

16.919

19.023

21.666

23.589

26.056

27.877

10

2.156

2.558

3.247

3.940

4.865

6.737

9.342

12.549

15.987

18.307

20.483

23.209

25.188

27.722

29.588

11

2.603

3.053

3.816

4.575

5.578

7.584

10.341

13.701

17.275

19.675

21.920

24.725

26.757

29.354

31.264

12

3.074

3.571

4.404

5.226

6.304

8.438

11.340

14.845

18.549

21.026

23.337

26.217

28.300

30.957

32.909

13

3.565

4.107

5.009

5.892

7.042

9.299

12.340

15.984

19.812

22.362

24.736

27.688

29.819

32.535

34.528

14

4.075

4.660

5.629

6.571

7.790

10.165

13.339

17.117

21.064

23.685

26.119

29.141

31.319

34.091

36.123

15

4.601

5.229

6.262

7.261

8.547

11.037

14.339

18.245

22.307

24.996

27.488

30.578

32.801

35.628

37.697

16

5.142

5.812

6.908

7.962

9.312

11.912

15.338

19.369

23.542

26.296

28.845

32.000

34.267

37.146

39.252

17

5.697

6.408

7.564

8.672

10.085

12.792

16.338

20.489

24.769

27.587

30.191

33.409

35.718

38.648

40.790

18

6.265

7.015

8.231

9.390

10.865

13.675

17.338

21.605

25.989

28.869

31.526

34.805

37.156

40.136

42.312

19

6.844

7.633

8.907

10.117

11.651

14.562

18.338

22.718

27.204

30.144

32.852

36.191

38.582

41.610

43.820

20

7.434

8.260

9.591

10.851

12.443

15.452

19.337

23.828

28.412

31.410

34.170

37.566

39.997

43.072

45.315

21

8.034

8.897

10.283

11.591

13.240

16.344

20.337

24.935

29.615

32.671

35.479

38.932

41.401

44.522

46.797

22

8.643

9.542

10.982

12.338

14.041

17.240

21.337

26.039

30.813

33.924

36.781

40.289

42.796

45.962

48.268

23

9.260

10.196

11.689

13.091

14.848

18.137

22.337

27.141

32.007

35.172

38.076

41.638

44.181

47.391

49.728

24

9.886

10.856

12.401

13.848

15.659

19.037

23.337

28.241

33.196

36.415

39.364

42.980

45.559

48.812

51.179

25

10.520

11.524

13.120

14.611

16.473

19.939

24.337

29.339

34.382

37.652

40.646

44.314

46.928

50.223

52.620

26

11.160

12.198

13.844

15.379

17.292

20.843

25.336

30.435

35.563

38.885

41.923

45.642

48.290

51.627

54.052

27

11.808

12.879

14.573

16.151

18.114

21.749

26.336

31.528

36.741

40.113

43.195

46.963

49.645

53.023

55.476

28

12.461

13.565

15.308

16.928

18.939

22.657

27.336

32.620

37.916

41.337

44.461

48.278

50.993

54.411

56.892

29

13.121

14.256

16.047

17.708

19.768

23.567

28.336

33.711

39.087

42.557

45.722

49.588

52.336

55.792

58.301

30

13.787

14.953

16.791

18.493

20.599

24.478

29.336

34.800

40.256

43.773

46.979

50.892

53.672

57.167

59.703

31

14.458

15.655

17.539

19.281

21.434

25.390

30.336

35.887

41.422

44.985

48.232

52.191

55.003

58.536

61.098

32

15.134

16.362

18.291

20.072

22.271

26.304

31.336

36.973

42.585

46.194

49.480

53.486

56.328

59.899

62.487

33

15.815

17.074

19.047

20.867

23.110

27.219

32.336

38.058

43.745

47.400

50.725

54.776

57.648

61.256

63.870

34

16.501

17.789

19.806

21.664

23.952

28.136

33.336

39.141

44.903

48.602

51.966

56.061

58.964

62.608

65.247

35

17.192

18.509

20.569

22.465

24.797

29.054

34.336

40.223

46.059

49.802

53.203

57.342

60.275

63.955

66.619

36

17.887

19.233

21.336

23.269

25.643

29.973

35.336

41.304

47.212

50.998

54.437

58.619

61.581

65.296

67.985

37

18.586

19.960

22.106

24.075

26.492

30.893

36.336

42.383

48.363

52.192

55.668

59.893

62.883

66.633

69.346

38

19.289

20.691

22.878

24.884

27.343

31.815

37.335

43.462

49.513

53.384

56.896

61.162

64.181

67.966

70.703

39

19.996

21.426

23.654

25.695

28.196

32.737

38.335

44.539

50.660

54.572

58.120

62.428

65.476

69.294

72.055

40

20.707

22.164

24.433

26.509

29.051

33.660

39.335

45.616

51.805

55.758

59.342

63.691

66.766

70.618

73.402

41

21.421

22.906

25.215

27.326

29.907

34.585

40.335

46.692

52.949

56.942

60.561

64.950

68.053

71.938

74.745

42

22.138

23.650

25.999

28.144

30.765

35.510

41.335

47.766

54.090

58.124

61.777

66.206

69.336

73.254

76.084

43

22.859

24.398

26.785

28.965

31.625

36.436

42.335

48.840

55.230

59.304

62.990

67.459

70.616

74.566

77.419

44

23.584

25.148

27.575

29.787

32.487

37.363

43.335

49.913

56.369

60.481

64.201

68.710

71.893

75.874

78.750

45

24.311

25.901

28.366

30.612

33.350

38.291

44.335

50.985

57.505

61.656

65.410

69.957

73.166

77.179

80.077

46

25.041

26.657

29.160

31.439

34.215

39.220

45.335

52.056

58.641

62.830

66.617

71.201

74.437

78.481

81.400

47

25.775

27.416

29.956

32.268

35.081

40.149

46.335

53.127

59.774

64.001

67.821

72.443

75.704

79.780

82.720

48

26.511

28.177

30.755

33.098

35.949

41.079

47.335

54.196

60.907

65.171

69.023

73.683

76.969

81.075

84.037

49

27.249

28.941

31.555

33.930

36.818

42.010

48.335

55.265

62.038

66.339

70.222

74.919

78.231

82.367

85.351

50

27.991

29.707

32.357

34.764

37.689

42.942

49.335

56.334

63.167

67.505

71.420

76.154

79.490

83.657

86.661

51

28.735

30.475

33.162

35.600

38.560

43.874

50.335

57.401

64.295

68.669

72.616

77.386

80.747

84.943

87.968

52

29.481

31.246

33.968

36.437

39.433

44.808

51.335

58.468

65.422

69.832

73.810

78.616

82.001

86.227

89.272

53

30.230

32.018

34.776

37.276

40.308

45.741

52.335

59.534

66.548

70.993

75.002

79.843

83.253

87.507

90.573

54

30.981

32.793

35.586

38.116

41.183

46.676

53.335

60.600

67.673

72.153

76.192

81.069

84.502

88.786

91.872

55

31.735

33.570

36.398

38.958

42.060

47.610

54.335

61.665

68.796

73.311

77.380

82.292

85.749

90.061

93.168

56

32.490

34.350

37.212

39.801

42.937

48.546

55.335

62.729

69.919

74.468

78.567

83.513

86.994

91.335

94.461

57

33.248

35.131

38.027

40.646

43.816

49.482

56.335

63.793

71.040

75.624

79.752

84.733

88.236

92.605

95.751

58

34.008

35.913

38.844

41.492

44.696

50.419

57.335

64.857

72.160

76.778

80.936

85.950

89.477

93.874

97.039

59

34.770

36.698

39.662

42.339

45.577

51.356

58.335

65.919

73.279

77.931

82.117

87.166

90.715

95.140

98.324

60

35.534

37.485

40.482

43.188

46.459

52.294

59.335

66.981

74.397

79.082

83.298

88.379

91.952

96.404

99.607

61

36.301

38.273

41.303

44.038

47.342

53.232

60.335

68.043

75.514

80.232

84.476

89.591

93.186

97.665

100.888

62

37.068

39.063

42.126

44.889

48.226

54.171

61.335

69.104

76.630

81.381

85.654

90.802

94.419

98.925

102.166

63

37.838

39.855

42.950

45.741

49.111

55.110

62.335

70.165

77.745

82.529

86.830

92.010

95.649

100.182

103.442

64

38.610

40.649

43.776

46.595

49.996

56.050

63.335

71.225

78.860

83.675

88.004

93.217

96.878

101.437

104.716

65

39.383

41.444

44.603

47.450

50.883

56.990

64.335

72.285

79.973

84.821

89.177

94.422

98.105

102.691

105.988

66

40.158

42.240

45.431

48.305

51.770

57.931

65.335

73.344

81.085

85.965

90.349

95.626

99.330

103.942

107.258

67

40.935

43.038

46.261

49.162

52.659

58.872

66.335

74.403

82.197

87.108

91.519

96.828

100.554

105.192

108.526

68

41.713

43.838

47.092

50.020

53.548

59.814

67.335

75.461

83.308

88.250

92.689

98.028

101.776

106.440

109.791

69

42.494

44.639

47.924

50.879

54.438

60.756

68.334

76.519

84.418

89.391

93.856

99.228

102.996

107.685

111.055

70

43.275

45.442

48.758

51.739

55.329

61.698

69.334

77.577

85.527

90.531

95.023

100.425

104.215

108.929

112.317

71

44.058

46.246

49.592

52.600

56.221

62.641

70.334

78.634

86.635

91.670

96.189

101.621

105.432

110.172

113.577

72

44.843

47.051

50.428

53.462

57.113

63.585

71.334

79.690

87.743

92.808

97.353

102.816

106.648

111.412

114.835

73

45.629

47.858

51.265

54.325

58.006

64.528

72.334

80.747

88.850

93.945

98.516

104.010

107.862

112.651

116.092

74

46.417

48.666

52.103

55.189

58.900

65.472

73.334

81.803

89.956

95.081

99.678

105.202

109.074

113.889

117.346

75

47.206

49.475

52.942

56.054

59.795

66.417

74.334

82.858

91.061

96.217

100.839

106.393

110.286

115.125

118.599

76

47.997

50.286

53.782

56.920

60.690

67.362

75.334

83.913

92.166

97.351

101.999

107.583

111.495

116.359

119.850

77

48.788

51.097

54.623

57.786

61.586

68.307

76.334

84.968

93.270

98.484

103.158

108.771

112.704

117.591

121.100

78

49.582

51.910

55.466

58.654

62.483

69.252

77.334

86.022

94.374

99.617

104.316

109.958

113.911

118.823

122.348

79

50.376

52.725

56.309

59.522

63.380

70.198

78.334

87.077

95.476

100.749

105.473

111.144

115.117

120.052

123.594

80

51.172

53.540

57.153

60.391

64.278

71.145

79.334

88.130

96.578

101.879

106.629

112.329

116.321

121.280

124.839

81

51.969

54.357

57.998

61.261

65.176

72.091

80.334

89.184

97.680

103.010

107.783

113.512

117.524

122.507

126.083

82

52.767

55.174

58.845

62.132

66.076

73.038

81.334

90.237

98.780

104.139

108.937

114.695

118.726

123.733

127.324

83

53.567

55.993

59.692

63.004

66.976

73.985

82.334

91.289

99.880

105.267

110.090

115.876

119.927

124.957

128.565

84

54.368

56.813

60.540

63.876

67.876

74.933

83.334

92.342

100.980

106.395

111.242

117.057

121.126

126.179

129.804

85

55.170

57.634

61.389

64.749

68.777

75.881

84.334

93.394

102.079

107.522

112.393

118.236

122.325

127.401

131.041

86

55.973

58.456

62.239

65.623

69.679

76.829

85.334

94.446

103.177

108.648

113.544

119.414

123.522

128.621

132.277

87

56.777

59.279

63.089

66.498

70.581

77.777

86.334

95.497

104.275

109.773

114.693

120.591

124.718

129.840

133.512

88

57.582

60.103

63.941

67.373

71.484

78.726

87.334

96.548

105.372

110.898

115.841

121.767

125.913

131.057

134.745

89

58.389

60.928

64.793

68.249

72.387

79.675

88.334

97.599

106.469

112.022

116.989

122.942

127.106

132.273

135.978

90

59.196

61.754

65.647

69.126

73.291

80.625

89.334

98.650

107.565

113.145

118.136

124.116

128.299

133.489

137.208

91

60.005

62.581

66.501

70.003

74.196

81.574

90.334

99.700

108.661

114.268

119.282

125.289

129.491

134.702

138.438

92

60.815

63.409

67.356

70.882

75.100

82.524

91.334

100.750

109.756

115.390

120.427

126.462

130.681

135.915

139.666

93

61.625

64.238

68.211

71.760

76.006

83.474

92.334

101.800

110.850

116.511

121.571

127.633

131.871

137.127

140.893

94

62.437

65.068

69.068

72.640

76.912

84.425

93.334

102.850

111.944

117.632

122.715

128.803

133.059

138.337

142.119

95

63.250

65.898

69.925

73.520

77.818

85.376

94.334

103.899

113.038

118.752

123.858

129.973

134.247

139.546

143.344

96

64.063

66.730

70.783

74.401

78.725

86.327

95.334

104.948

114.131

119.871

125.000

131.141

135.433

140.755

144.567

97

64.878

67.562

71.642

75.282

79.633

87.278

96.334

105.997

115.223

120.990

126.141

132.309

136.619

141.962

145.789

98

65.694

68.396

72.501

76.164

80.541

88.229

97.334

107.045

116.315

122.108

127.282

133.476

137.803

143.168

147.010

99

66.510

69.230

73.361

77.046

81.449

89.181

98.334

108.093

117.407

123.225

128.422

134.642

138.987

144.373

148.230

100

67.328

70.065

74.222

77.929

82.358

90.133

99.334

109.141

118.498

124.342

129.561

135.807

140.169

145.577

149.449

101

68.146

70.901

75.083

78.813

83.267

91.085

100.334

110.189

119.589

125.458

130.700

136.971

141.351

146.780

150.667

102

68.965

71.737

75.946

79.697

84.177

92.038

101.334

111.236

120.679

126.574

131.838

138.134

142.532

147.982

151.884

103

69.785

72.575

76.809

80.582

85.088

92.991

102.334

112.284

121.769

127.689

132.975

139.297

143.712

149.183

153.099

104

70.606

73.413

77.672

81.468

85.998

93.944

103.334

113.331

122.858

128.804

134.111

140.459

144.891

150.383

154.314

105

71.428

74.252

78.536

82.354

86.909

94.897

104.334

114.378

123.947

129.918

135.247

141.620

146.070

151.582

155.528

106

72.251

75.092

79.401

83.240

87.821

95.850

105.334

115.424

125.035

131.031

136.382

142.780

147.247

152.780

156.740

107

73.075

75.932

80.267

84.127

88.733

96.804

106.334

116.471

126.123

132.144

137.517

143.940

148.424

153.977

157.952

108

73.899

76.774

81.133

85.015

89.645

97.758

107.334

117.517

127.211

133.257

138.651

145.099

149.599

155.173

159.162

109

74.724

77.616

82.000

85.903

90.558

98.712

108.334

118.563

128.298

134.369

139.784

146.257

150.774

156.369

160.372

110

75.550

78.458

82.867

86.792

91.471

99.666

109.334

119.608

129.385

135.480

140.917

147.414

151.948

157.563

161.581

111

76.377

79.302

83.735

87.681

92.385

100.620

110.334

120.654

130.472

136.591

142.049

148.571

153.122

158.757

162.788

112

77.204

80.146

84.604

88.570

93.299

101.575

111.334

121.699

131.558

137.701

143.180

149.727

154.294

159.950

163.995

113

78.033

80.991

85.473

89.461

94.213

102.530

112.334

122.744

132.643

138.811

144.311

150.882

155.466

161.141

165.201

114

78.862

81.836

86.342

90.351

95.128

103.485

113.334

123.789

133.729

139.921

145.441

152.037

156.637

162.332

166.406

115

79.692

82.682

87.213

91.242

96.043

104.440

114.334

124.834

134.813

141.030

146.571

153.191

157.808

163.523

167.610

116

80.522

83.529

88.084

92.134

96.958

105.396

115.334

125.878

135.898

142.138

147.700

154.344

158.977

164.712

168.813

117

81.353

84.377

88.955

93.026

97.874

106.352

116.334

126.923

136.982

143.246

148.829

155.496

160.146

165.900

170.016

118

82.185

85.225

89.827

93.918

98.790

107.307

117.334

127.967

138.066

144.354

149.957

156.648

161.314

167.088

171.217

119

83.018

86.074

90.700

94.811

99.707

108.263

118.334

129.011

139.149

145.461

151.084

157.800

162.481

168.275

172.418

120

83.852

86.923

91.573

95.705

100.624

109.220

119.334

130.055

140.233

146.567

152.211

158.950

163.648

169.461

173.617

121

84.686

87.773

92.446

96.598

101.541

110.176

120.334

131.098

141.315

147.674

153.338

160.100

164.814

170.647

174.816

122

85.520

88.624

93.320

97.493

102.458

111.133

121.334

132.142

142.398

148.779

154.464

161.250

165.980

171.831

176.014

123

86.356

89.475

94.195

98.387

103.376

112.089

122.334

133.185

143.480

149.885

155.589

162.398

167.144

173.015

177.212

124

87.192

90.327

95.070

99.283

104.295

113.046

123.334

134.228

144.562

150.989

156.714

163.546

168.308

174.198

178.408

125

88.029

91.180

95.946

100.178

105.213

114.004

124.334

135.271

145.643

152.094

157.839

164.694

169.471

175.380

179.604

126

88.866

92.033

96.822

101.074

106.132

114.961

125.334

136.313

146.724

153.198

158.962

165.841

170.634

176.562

180.799

127

89.704

92.887

97.698

101.971

107.051

115.918

126.334

137.356

147.805

154.302

160.086

166.987

171.796

177.743

181.993

128

90.543

93.741

98.576

102.867

107.971

116.876

127.334

138.398

148.885

155.405

161.209

168.133

172.957

178.923

183.186

129

91.382

94.596

99.453

103.765

108.891

117.834

128.334

139.440

149.965

156.508

162.331

169.278

174.118

180.103

184.379

130

92.222

95.451

100.331

104.662

109.811

118.792

129.334

140.482

151.045

157.610

163.453

170.423

175.278

181.282

185.571

131

93.063

96.307

101.210

105.560

110.732

119.750

130.334

141.524

152.125

158.712

164.575

171.567

176.438

182.460

186.762

132

93.904

97.163

102.089

106.459

111.652

120.708

131.334

142.566

153.204

159.814

165.696

172.711

177.597

183.637

187.953

133

94.746

98.020

102.968

107.357

112.573

121.667

132.334

143.608

154.283

160.915

166.816

173.854

178.755

184.814

189.142

134

95.588

98.878

103.848

108.257

113.495

122.625

133.334

144.649

155.361

162.016

167.936

174.996

179.913

185.990

190.331

135

96.431

99.736

104.729

109.156

114.417

123.584

134.334

145.690

156.440

163.116

169.056

176.138

181.070

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191.520

136

97.275

100.595

105.609

110.056

115.338

124.543

135.334

146.731

157.518

164.216

170.175

177.280

182.226

188.340

192.707

137

98.119

101.454

106.491

110.956

116.261

125.502

136.334

147.772

158.595

165.316

171.294

178.421

183.382

189.514

193.894

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98.964

102.314

107.372

111.857

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126.461

137.334

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166.415

172.412

179.561

184.538

190.688

195.080

139

99.809

103.174

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112.758

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127.421

138.334

149.854

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167.514

173.530

180.701

185.693

191.861

196.266

140

100.655

104.034

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119.029

128.380

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150.894

161.827

168.613

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186.847

193.033

197.451

141

101.501

104.896

110.020

114.561

119.953

129.340

140.334

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162.904

169.711

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182.979

188.001

194.205

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142

102.348

105.757

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115.463

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130.299

141.334

152.975

163.980

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176.882

184.118

189.154

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143

103.196

106.619

111.787

116.366

121.800

131.259

142.334

154.015

165.056

171.907

177.998

185.256

190.306

196.546

201.002

144

104.044

107.482

112.671

117.268

122.724

132.219

143.334

155.055

166.132

173.004

179.114

186.393

191.458

197.716

202.184

145

104.892

108.345

113.556

118.171

123.649

133.180

144.334

156.094

167.207

174.101

180.229

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192.610

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203.366

146

105.741

109.209

114.441

119.075

124.574

134.140

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157.134

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200.054

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147

106.591

110.073

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119.979

125.499

135.101

146.334

158.174

169.358

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182.459

189.802

194.912

201.222

205.727

148

107.441

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120.883

126.424

136.061

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159.213

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177.390

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190.938

196.062

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206.907

149

108.291

111.802

117.098

121.787

127.349

137.022

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160.252

171.507

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150

109.142

112.668

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128.275

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149.334

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172.581

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185.800

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204.723

209.265

151

109.994

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123.597

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138.944

150.334

162.330

173.655

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186.914

194.342

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152

110.846

114.400

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130.127

139.905

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163.369

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153

111.698

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140.866

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164.408

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182.865

189.139

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212.797

154

112.551

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126.314

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141.828

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165.446

176.876

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190.251

197.742

202.951

209.383

213.973

155

113.405

117.001

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127.220

132.907

142.789

154.334

166.485

177.949

185.052

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210.547

215.149

156

114.259

117.869

123.312

128.127

133.835

143.751

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167.523

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205.244

211.710

216.324

157

115.113

118.738

124.201

129.034

134.762

144.713

156.334

168.561

180.094

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193.584

201.138

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212.873

217.499

158

115.968

119.607

125.090

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135.690

145.675

157.334

169.599

181.167

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194.695

202.269

207.535

214.035

218.673

159

116.823

120.476

125.980

130.848

136.618

146.637

158.334

170.637

182.239

189.424

195.805

203.400

208.680

215.197

219.846

160

117.679

121.346

126.870

131.756

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171.675

183.311

190.516

196.915

204.530

209.824

216.358

221.019

161

118.536

122.216

127.761

132.664

138.474

148.561

160.334

172.713

184.382

191.608

198.025

205.660

210.968

217.518

222.191

162

119.392

123.086

128.651

133.572

139.403

149.523

161.334

173.751

185.454

192.700

199.134

206.790

212.111

218.678

223.363

163

120.249

123.957

129.543

134.481

140.331

150.486

162.334

174.788

186.525

193.791

200.243

207.919

213.254

219.838

224.535

164

121.107

124.828

130.434

135.390

141.260

151.449

163.334

175.825

187.596

194.883

201.351

209.047

214.396

220.997

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165

121.965

125.700

131.326

136.299

142.190

152.411

164.334

176.863

188.667

195.973

202.459

210.176

215.539

222.156

226.876

166

122.823

126.572

132.218

137.209

143.119

153.374

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177.900

189.737

197.064

203.567

211.304

216.680

223.314

228.045

167

123.682

127.445

133.111

138.118

144.049

154.337

166.334

178.937

190.808

198.154

204.675

212.431

217.821

224.472

229.215

168

124.541

128.318

134.003

139.028

144.979

155.300

167.334

179.974

191.878

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205.782

213.558

218.962

225.629

230.383

169

125.401

129.191

134.897

139.939

145.909

156.263

168.334

181.011

192.948

200.334

206.889

214.685

220.102

226.786

231.552

170

126.261

130.064

135.790

140.849

146.839

157.227

169.334

182.047

194.017

201.423

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215.812

221.242

227.942

232.719

171

127.122

130.938

136.684

141.760

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158.190

170.334

183.084

195.087

202.513

209.102

216.938

222.382

229.098

233.887

172

127.983

131.813

137.578

142.671

148.700

159.154

171.334

184.120

196.156

203.602

210.208

218.063

223.521

230.253

235.053

173

128.844

132.687

138.472

143.582

149.631

160.117

172.334

185.157

197.225

204.690

211.313

219.189

224.660

231.408

236.220

174

129.706

133.563

139.367

144.494

150.562

161.081

173.334

186.193

198.294

205.779

212.419

220.314

225.798

232.563

237.385

175

130.568

134.438

140.262

145.406

151.493

162.045

174.334

187.229

199.363

206.867

213.524

221.438

226.936

233.717

238.551

176

131.430

135.314

141.157

146.318

152.425

163.009

175.334

188.265

200.432

207.955

214.628

222.563

228.074

234.870

239.716

177

132.293

136.190

142.053

147.230

153.356

163.973

176.334

189.301

201.500

209.042

215.733

223.687

229.211

236.023

240.880

178

133.157

137.066

142.949

148.143

154.288

164.937

177.334

190.337

202.568

210.130

216.837

224.810

230.347

237.176

242.044

179

134.020

137.943

143.845

149.056

155.220

165.901

178.334

191.373

203.636

211.217

217.941

225.933

231.484

238.328

243.207

180

134.884

138.820

144.741

149.969

156.153

166.865

179.334

192.409

204.704

212.304

219.044

227.056

232.620

239.480

244.370

181

135.749

139.698

145.638

150.882

157.085

167.830

180.334

193.444

205.771

213.391

220.148

228.179

233.755

240.632

245.533

182

136.614

140.576

146.535

151.796

158.018

168.794

181.334

194.480

206.839

214.477

221.251

229.301

234.891

241.783

246.695

183

137.479

141.454

147.432

152.709

158.951

169.759

182.334

195.515

207.906

215.563

222.353

230.423

236.026

242.933

247.857

184

138.344

142.332

148.330

153.623

159.883

170.724

183.334

196.550

208.973

216.649

223.456

231.544

237.160

244.084

249.018

185

139.210

143.211

149.228

154.538

160.817

171.688

184.334

197.586

210.040

217.735

224.558

232.665

238.294

245.234

250.179

186

140.077

144.090

150.126

155.452

161.750

172.653

185.334

198.621

211.106

218.820

225.660

233.786

239.428

246.383

251.339

187

140.943

144.970

151.024

156.367

162.684

173.618

186.334

199.656

212.173

219.906

226.761

234.907

240.561

247.532

252.499

188

141.810

145.850

151.923

157.282

163.617

174.583

187.334

200.690

213.239

220.991

227.863

236.027

241.694

248.681

253.659

189

142.678

146.730

152.822

158.197

164.551

175.549

188.334

201.725

214.305

222.076

228.964

237.147

242.827

249.829

254.818

190

143.545

147.610

153.721

159.113

165.485

176.514

189.334

202.760

215.371

223.160

230.064

238.266

243.959

250.977

255.976

191

144.413

148.491

154.621

160.028

166.419

177.479

190.334

203.795

216.437

224.245

231.165

239.386

245.091

252.124

257.135

192

145.282

149.372

155.521

160.944

167.354

178.445

191.334

204.829

217.502

225.329

232.265

240.505

246.223

253.271

258.292

193

146.150

150.254

156.421

161.860

168.288

179.410

192.334

205.864

218.568

226.413

233.365

241.623

247.354

254.418

259.450

194

147.020

151.135

157.321

162.776

169.223

180.376

193.334

206.898

219.633

227.496

234.465

242.742

248.485

255.564

260.607

195

147.889

152.017

158.221

163.693

170.158

181.342

194.334

207.932

220.698

228.580

235.564

243.860

249.616

256.710

261.763

196

148.759

152.900

159.122

164.610

171.093

182.308

195.334

208.966

221.763

229.663

236.664

244.977

250.746

257.855

262.920

197

149.629

153.782

160.023

165.527

172.029

183.273

196.334

210.000

222.828

230.746

237.763

246.095

251.876

259.001

264.075

198

150.499

154.665

160.925

166.444

172.964

184.239

197.334

211.034

223.892

231.829

238.861

247.212

253.006

260.145

265.231

199

151.370

155.548

161.826

167.361

173.900

185.205

198.334

212.068

224.957

232.912

239.960

248.329

254.135

261.290

266.386

200

152.241

156.432

162.728

168.279

174.835

186.172

199.334

213.102

226.021

233.994

241.058

249.445

255.264

262.434

267.541

201

153.112

157.316

163.630

169.196

175.771

187.138

200.334

214.136

227.085

235.077

242.156

250.561

256.393

263.578

268.695

202

153.984

158.200

164.532

170.114

176.707

188.104

201.334

215.170

228.149

236.159

243.254

251.677

257.521

264.721

269.849

203

154.856

159.084

165.435

171.032

177.643

189.071

202.334

216.203

229.213

237.240

244.351

252.793

258.649

265.864

271.002

204

155.728

159.969

166.338

171.951

178.580

190.037

203.334

217.237

230.276

238.322

245.448

253.908

259.777

267.007

272.155

205

156.601

160.854

167.241

172.869

179.516

191.004

204.334

218.270

231.340

239.403

246.545

255.023

260.904

268.149

273.308

206

157.474

161.739

168.144

173.788

180.453

191.970

205.334

219.303

232.403

240.485

247.642

256.138

262.031

269.291

274.460

207

158.347

162.624

169.047

174.707

181.390

192.937

206.334

220.337

233.466

241.566

248.739

257.253

263.158

270.432

275.612

208

159.221

163.510

169.951

175.626

182.327

193.904

207.334

221.370

234.529

242.647

249.835

258.367

264.285

271.574

276.764

209

160.095

164.396

170.855

176.546

183.264

194.871

208.334

222.403

235.592

243.727

250.931

259.481

265.411

272.715

277.915

210

160.969

165.283

171.759

177.465

184.201

195.838

209.334

223.436

236.655

244.808

252.027

260.595

266.537

273.855

279.066

211

161.843

166.169

172.664

178.385

185.139

196.805

210.334

224.469

237.717

245.888

253.122

261.708

267.662

274.995

280.217

212

162.718

167.056

173.568

179.305

186.076

197.772

211.334

225.502

238.780

246.968

254.218

262.821

268.788

276.135

281.367

213

163.593

167.943

174.473

180.225

187.014

198.739

212.334

226.534

239.842

248.048

255.313

263.934

269.912

277.275

282.517

214

164.469

168.831

175.378

181.145

187.952

199.707

213.334

227.567

240.904

249.128

256.408

265.047

271.037

278.414

283.666

215

165.344

169.718

176.283

182.066

188.890

200.674

214.334

228.600

241.966

250.207

257.503

266.159

272.162

279.553

284.815

216

166.220

170.606

177.189

182.987

189.828

201.642

215.334

229.632

243.028

251.286

258.597

267.271

273.286

280.692

285.964

217

167.096

171.494

178.095

183.907

190.767

202.609

216.334

230.665

244.090

252.365

259.691

268.383

274.409

281.830

287.112

218

167.973

172.383

179.001

184.828

191.705

203.577

217.334

231.697

245.151

253.444

260.785

269.495

275.533

282.968

288.261

219

168.850

173.271

179.907

185.750

192.644

204.544

218.334

232.729

246.213

254.523

261.879

270.606

276.656

284.106

289.408

220

169.727

174.160

180.813

186.671

193.582

205.512

219.334

233.762

247.274

255.602

262.973

271.717

277.779

285.243

290.556

221

170.604

175.050

181.720

187.593

194.521

206.480

220.334

234.794

248.335

256.680

264.066

272.828

278.902

286.380

291.703

222

171.482

175.939

182.627

188.514

195.460

207.448

221.334

235.826

249.396

257.758

265.159

273.939

280.024

287.517

292.850

223

172.360

176.829

183.534

189.436

196.400

208.416

222.334

236.858

250.457

258.837

266.252

275.049

281.146

288.653

293.996

224

173.238

177.719

184.441

190.359

197.339

209.384

223.334

237.890

251.517

259.914

267.345

276.159

282.268

289.789

295.142

225

174.116

178.609

185.348

191.281

198.278

210.352

224.334

238.922

252.578

260.992

268.438

277.269

283.390

290.925

296.288

226

174.995

179.499

186.256

192.203

199.218

211.320

225.334

239.954

253.638

262.070

269.530

278.379

284.511

292.061

297.433

227

175.874

180.390

187.164

193.126

200.158

212.288

226.334

240.985

254.699

263.147

270.622

279.488

285.632

293.196

298.579

228

176.753

181.281

188.072

194.049

201.097

213.257

227.334

242.017

255.759

264.224

271.714

280.597

286.753

294.331

299.723

229

177.633

182.172

188.980

194.972

202.037

214.225

228.334

243.049

256.819

265.301

272.806

281.706

287.874

295.465

300.868

230

178.512

183.063

189.889

195.895

202.978

215.194

229.334

244.080

257.879

266.378

273.898

282.814

288.994

296.600

302.012

231

179.392

183.955

190.797

196.818

203.918

216.162

230.334

245.112

258.939

267.455

274.989

283.923

290.114

297.734

303.156

232

180.273

184.847

191.706

197.742

204.858

217.131

231.334

246.143

259.998

268.531

276.080

285.031

291.234

298.867

304.299

233

181.153

185.739

192.615

198.665

205.799

218.099

232.334

247.174

261.058

269.608

277.171

286.139

292.353

300.001

305.443

234

182.034

186.631

193.524

199.589

206.739

219.068

233.334

248.206

262.117

270.684

278.262

287.247

293.472

301.134

306.586

235

182.915

187.524

194.434

200.513

207.680

220.037

234.334

249.237

263.176

271.760

279.352

288.354

294.591

302.267

307.728

236

183.796

188.417

195.343

201.437

208.621

221.006

235.334

250.268

264.235

272.836

280.443

289.461

295.710

303.400

308.871

237

184.678

189.310

196.253

202.362

209.562

221.975

236.334

251.299

265.294

273.911

281.533

290.568

296.828

304.532

310.013

238

185.560

190.203

197.163

203.286

210.503

222.944

237.334

252.330

266.353

274.987

282.623

291.675

297.947

305.664

311.154

239

186.442

191.096

198.073

204.211

211.444

223.913

238.334

253.361

267.412

276.062

283.713

292.782

299.065

306.796

312.296

240

187.324

191.990

198.984

205.135

212.386

224.882

239.334

254.392

268.471

277.138

284.802

293.888

300.182

307.927

313.437

241

188.207

192.884

199.894

206.060

213.327

225.851

240.334

255.423

269.529

278.213

285.892

294.994

301.300

309.058

314.578

242

189.090

193.778

200.805

206.985

214.269

226.820

241.334

256.453

270.588

279.288

286.981

296.100

302.417

310.189

315.718

243

189.973

194.672

201.716

207.911

215.210

227.790

242.334

257.484

271.646

280.362

288.070

297.206

303.534

311.320

316.859

244

190.856

195.567

202.627

208.836

216.152

228.759

243.334

258.515

272.704

281.437

289.159

298.311

304.651

312.450

317.999

245

191.739

196.462

203.539

209.762

217.094

229.729

244.334

259.545

273.762

282.511

290.248

299.417

305.767

313.580

319.138

246

192.623

197.357

204.450

210.687

218.036

230.698

245.334

260.576

274.820

283.586

291.336

300.522

306.883

314.710

320.278

247

193.507

198.252

205.362

211.613

218.979

231.668

246.334

261.606

275.878

284.660

292.425

301.626

307.999

315.840

321.417

248

194.391

199.147

206.274

212.539

219.921

232.637

247.334

262.636

276.935

285.734

293.513

302.731

309.115

316.969

322.556

249

195.276

200.043

207.186

213.465

220.863

233.607

248.334

263.667

277.993

286.808

294.601

303.835

310.231

318.098

323.694

250

196.161

200.939

208.098

214.392

221.806

234.577

249.334

264.697

279.050

287.882

295.689

304.940

311.346

319.227

324.832

300

240.663

245.972

253.912

260.878

269.068

283.135

299.334

316.138

331.789

341.395

349.874

359.906

366.844

375.369

381.425

350

285.608

291.406

300.064

307.648

316.550

331.810

349.334

367.464

384.306

394.626

403.723

414.474

421.900

431.017

437.488

400

330.903

337.155

346.482

354.641

364.207

380.577

399.334

418.697

436.649

447.632

457.305

468.724

476.606

486.274

493.132

450

376.483

383.163

393.118

401.817

412.007

429.418

449.334

469.855

488.849

500.456

510.670

522.717

531.026

541.212

548.432

500

422.303

429.388

439.936

449.147

459.926

478.323

499.333

520.950

540.930

553.127

563.852

576.493

585.207

595.882

603.446

550

468.328

475.796

486.910

496.607

507.947

527.281

549.333

571.992

592.909

605.667

616.878

630.084

639.183

650.324

658.215

600

514.529

522.365

534.019

544.180

556.056

576.286

599.333

622.988

644.800

658.094

669.769

683.516

692.982

704.568

712.771

650

560.885

569.074

581.245

591.853

604.242

625.331

649.333

673.942

696.614

710.421

722.542

736.807

746.625

758.639

767.141

700

607.380

615.907

628.577

639.613

652.497

674.413

699.333

724.861

748.359

762.661

775.211

789.974

800.131

812.556

821.347

750

653.997

662.852

676.003

687.452

700.814

723.526

749.333

775.747

800.043

814.822

827.785

843.029

853.514

866.336

875.404

800

700.725

709.897

723.513

735.362

749.185

772.669

799.333

826.604

851.671

866.911

880.275

895.984

906.786

919.991

929.329

850

747.554

757.033

771.099

783.337

797.607

821.839

849.333

877.435

903.249

918.937

932.689

948.848

959.957

973.534

983.133

900

794.475

804.252

818.756

831.370

846.075

871.032

899.333

928.241

954.782

970.904

985.032

1001.630

1013.036

1026.974

1036.826

950

841.480

851.547

866.477

879.457

894.584

920.248

949.333

979.026

1006.272

1022.816

1037.311

1054.334

1066.031

1080.320

1090.418

1000

888.564

898.912

914.257

927.594

943.133

969.484

999.333

1029.790

1057.724

1074.679

1089.531

1106.969

1118.948

1133.579

1143.917

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