Table 6 Values of the error function erf(x)

0.00

0.000000000000

1.000000000000

0.37

0.399205982861

0.600794017139

0.74

0.704677825150

0.295322174850

0.01

0.011283415555

0.988716584445

0.38

0.409009451768

0.590990548232

0.75

0.711155429840

0.288844570160

0.02

0.022564574690

0.977435425310

0.39

0.418738697780

0.581261302220

0.76

0.717536534054

0.282463465946

0.03

0.033841222338

0.966158777662

0.40

0.428392351896

0.571607648104

0.77

0.723821436877

0.276178563123

0.04

0.045111106142

0.954888893858

0.41

0.437969090031

0.562030909969

0.78

0.730010238060

0.269989761940

0.05

0.056371977793

0.943628022207

0.42

0.447467618261

0.552532381739

0.79

0.736103240130

0.263896759870

0.06

0.067621594389

0.932378405611

0.43

0.456886694328

0.543113305672

0.80

0.742100790385

0.257899209615

0.07

0.078857719765

0.921142280235

0.44

0.466225114978

0.533774885022

0.81

0.748003138393

0.251996861607

0.08

0.090078125833

0.909921874167

0.45

0.475481719382

0.524518280618

0.82

0.753810590156

0.246189409844

0.09

0.101280593901

0.898719406099

0.46

0.484655389454

0.515344610546

0.83

0.759523625314

0.240476374686

0.10

0.112462915992

0.887537084008

0.47

0.493745050147

0.506254949853

0.84

0.765142559892

0.234857440108

0.11

0.123622896147

0.876377103853

0.48

0.502749669700

0.497250330300

0.85

0.770667932983

0.229332067017

0.12

0.134758351714

0.865241648286

0.49

0.511668259856

0.488331740144

0.86

0.776100121993

0.223899878007

0.13

0.145867114826

0.854132885174

0.50

0.520499876035

0.479500123965

0.87

0.781439724674

0.218560275326

0.14

0.156947033051

0.843052966949

0.51

0.529243617480

0.470756382520

0.88

0.786687219425

0.213312780575

0.15

0.167995971414

0.832004028586

0.52

0.537898627358

0.462101372642

0.89

0.791843126770

0.208156873230

0.16

0.179011813181

0.820988186819

0.53

0.546464092831

0.453535907169

0.90

0.796908112895

0.203091887105

0.17

0.189992461178

0.810007538822

0.54

0.554939245085

0.445060754915

0.91

0.801882743251

0.198117256749

0.18

0.200935838984

0.799064161016

0.55

0.563323359330

0.436676640670

0.92

0.806767619642

0.193232380358

0.19

0.211839892105

0.788160107895

0.56

0.571615763455

0.428384236545

0.93

0.811563473736

0.188436526264

0.20

0.222702589127

0.777297410873

0.57

0.579815805683

0.420184194317

0.94

0.816270948330

0.183729051670

0.21

0.233521922850

0.766478077150

0.58

0.587922899753

0.412077100247

0.95

0.820890717620

0.179109282380

0.22

0.244295911388

0.755704088612

0.59

0.595936496378

0.404063503622

0.96

0.825423574670

0.174576425330

0.23

0.255022599259

0.744977400741

0.60

0.603856089780

0.396143910220

0.97

0.829870230340

0.170129769660

0.24

0.265700058433

0.734299941567

0.61

0.611681217488

0.388318782512

0.98

0.834231422458

0.165768577542

0.25

0.276326389365

0.723673610635

0.62

0.619411460101

0.380588539899

0.99

0.838508000774

0.161491999226

0.26

0.286899723185

0.713100276815

0.63

0.627046441016

0.372953558984

1.00

0.842700735175

0.157299264825

0.27

0.297418218507

0.702581781493

0.64

0.634585826132

0.365414173868

1.01

0.846810447700

0.153189552300

0.28

0.307880067977

0.692119932023

0.65

0.642029323520

0.357970676480

1.02

0.850837952060

0.149162047940

0.29

0.318283495789

0.681716504211

0.66

0.649376683060

0.350623316940

1.03

0.854784156064

0.145215843936

0.30

0.328626759359

0.671373240641

0.67

0.656627696054

0.343372303946

1.04

0.858649899788

0.141350100212

0.31

0.338908150169

0.661091849831

0.68

0.663782194814

0.336217805186

1.05

0.862436066652

0.137563933348

0.32

0.349125994593

0.650874005407

0.69

0.670840052208

0.329159947792

1.06

0.866143531268

0.133856468732

0.33

0.359278654683

0.640721345317

0.70

0.677801193147

0.322198806853

1.07

0.869773250224

0.130226749776

0.34

0.369364528928

0.630635471072

0.71

0.684665263995

0.315334736005

1.08

0.873326118594

0.126673881406

0.35

0.379382052969

0.620617947031

0.72

0.691432825427

0.308567174573

1.09

0.876803068202

0.123196931798

0.36

0.389329700289

0.610670299711

0.73

0.698103703680

0.301896296320

1.10

0.880205040976

0.119794959024

1.11

0.883532970435

0.116467029565

1.52

0.968413493245

0.031586506755

1.93

0.993655649566

0.006344350434

1.12

0.886787854405

0.113212145595

1.53

0.969516205881

0.030483794119

1.94

0.993922570352

0.006077429648

1.13

0.889970639901

0.110029360099

1.54

0.970585687054

0.029414312946

1.95

0.994179333115

0.005820666885

1.14

0.893082301682

0.106917698318

1.55

0.971622730809

0.028377269191

1.96

0.994426275041

0.005573724959

1.15

0.896123820836

0.103876179164

1.56

0.972628119883

0.027371880117

1.97

0.994663724270

0.005336275730

1.16

0.899096168851

0.100903831149

1.57

0.973602625589

0.026397374411

1.98

0.994892000052

0.005107999948

1.17

0.902000369835

0.097999630165

1.58

0.974547007706

0.025452992294

1.99

0.995111412902

0.004888587098

1.18

0.904837401978

0.095162598022

1.59

0.975462011997

0.024537988003

2.00

0.995322264755

0.004677735245

1.19

0.907608264626

0.092391735374

1.60

0.976348379983

0.023651620017

2.01

0.995524849121

0.004475150879

1.20

0.910313959958

0.089686040042

1.61

0.977206833628

0.022793166372

2.02

0.995719451244

0.004280548756

1.21

0.912955492333

0.087044507667

1.62

0.978038085776

0.021961914224

2.03

0.995906348259

0.004093651741

1.22

0.915533855545

0.084466144455

1.63

0.978842837391

0.021157162609

2.04

0.996085809348

0.003914190652

1.23

0.918050082203

0.081949917797

1.64

0.979621777518

0.020378222482

2.05

0.996258095898

0.003741904102

1.24

0.920505165437

0.079494834563

1.65

0.980375583261

0.019624416739

2.06

0.996423461660

0.003576538340

1.25

0.922900112029

0.077099887971

1.66

0.981104919763

0.018895080237

2.07

0.996582152902

0.003417847099

1.26

0.925235927850

0.074764072150

1.67

0.981810440204

0.018189559796

2.08

0.996734408567

0.003265591433

1.27

0.927513617286

0.072486382714

1.68

0.982492785807

0.017507214193

2.09

0.996880460434

0.003119539566

1.28

0.929734182683

0.070265817317

1.69

0.983152585845

0.016847414155

2.10

0.997020533263

0.002979466737

1.29

0.931898614698

0.068101385302

1.70

0.983790457668

0.016209542332

2.11

0.997154844960

0.002845155040

1.30

0.934007929381

0.065992070619

1.71

0.984407006734

0.015592993266

2.12

0.997283606722

0.002716393278

1.31

0.936063109317

0.063936890683

1.72

0.985002826647

0.014997173353

2.13

0.997407023194

0.002592976806

1.32

0.938065143442

0.061934856558

1.73

0.985578499203

0.014421500797

2.14

0.997525292621

0.002474707379

1.33

0.940015016096

0.059984983904

1.74

0.986134593296

0.013865406704

2.15

0.997638606993

0.002361393007

1.34

0.941913706557

0.058086293443

1.75

0.986671669716

0.013328330284

2.16

0.997747152198

0.002252847802

1.35

0.943762188599

0.056237811401

1.76

0.987190273902

0.012809726098

2.17

0.997851108167

0.002148891833

1.36

0.945561430056

0.054438569944

1.77

0.987690941050

0.012309058950

2.18

0.997950649022

0.002049350978

1.37

0.947312385788

0.052687614212

1.78

0.988174194892

0.011825805108

2.19

0.998045943215

0.001954056785

1.38

0.949016024608

0.050983975392

1.79

0.988640547789

0.011359452211

2.20

0.998137153582

0.001862846418

1.39

0.950673286547

0.049326713453

1.80

0.989090500825

0.010909499175

2.21

0.998224437869

0.001775562131

1.40

0.952285111714

0.047714888286

1.81

0.989524543906

0.010475456094

2.22

0.998307948269

0.001692051731

1.41

0.953852432362

0.046147567638

1.82

0.989943155865

0.010056844135

2.23

0.998387831976

0.001612168024

1.42

0.955376172558

0.044623827442

1.83

0.990346804574

0.009653195426

2.24

0.998464231208

0.001535768792

1.43

0.956857247857

0.043142752143

1.84

0.990735947060

0.009264052940

2.25

0.998537283345

0.001462716655

1.44

0.958296565005

0.041703434995

1.85

0.991111029620

0.008888970380

2.26

0.998607121056

0.001392878944

1.45

0.959695021643

0.040304978357

1.86

0.991472487951

0.008527512049

2.27

0.998673872429

0.001326127571

1.46

0.961053506041

0.038946493959

1.87

0.991820747271

0.008179252729

2.28

0.998737661102

0.001262338898

1.47

0.962372892651

0.037627107349

1.88

0.992156222455

0.007843777545

2.29

0.998798606380

0.001201393620

1.48

0.963654059118

0.036345940882

1.89

0.992479318168

0.007520681832

2.30

0.998856823364

0.001143176636

1.49

0.964897859339

0.035102140661

1.90

0.992790429001

0.007209570999

2.31

0.998912423069

0.001087576931

1.50

0.966105141664

0.033894858336

1.91

0.993089939613

0.006910060387

2.32

0.998965512542

0.001034487458

1.51

0.967276743924

0.032723256076

1.92

0.993378224874

01006621775126

2.33

0.999016194979

0.000983805021

2.34

0.999064569837

0.000935430163

2.74

0.999893351284

0.000106648716

3.14

0.999991030434

0.000008969566

2.35

0.999110732946

0.000889267054

2.75

0.999899378076

0.000100621924

3.15

0.999991601789

0.000008398211

2.36

0.999154776621

0.000845223379

2.76

0.999905082351

0.000094917649

3.16

0.999992138259

0.000007861741

2.37

0.999196789766

0.000803210234

2.77

0.999910480287

0.000089519713

3.17

0.999992641873

0.000007358127

2.38

0.999236857979

0.000763142021

2.78

0.999915587315

0.000084412685

3.18

0.999993114550

0.000006885450

2.39

0.999275063657

0.000724936343

2.79

0.999920418146

0.000079581854

3.19

0.999993558102

0.000006441898

2.40

0.999311486091

0.000688513909

2.80

0.999924986804

0.000075013196

3.20

0.999993974239

0.000006025761

2.41

0.999346201572

0.000653798428

2.81

0.999929306653

0.000070693347

3.21

0.999994364578

0.000005635422

2.42

0.999379283478

0.000620716522

2.82

0.999933390426

0.000066609574

3.22

0.999994730645

0.000005269355

2.43

0.999410802377

0.000589197623

2.83

0.999937250253

0.000062749747

3.23

0.999995073881

0.000004926119

2.44

0.999440826109

0.000559173891

2.84

0.999940897685

0.000059102315

3.24

0.999995395645

0.000004604355

2.45

0.999469419881

0.000530580119

2.85

0.999944343719

0.000055656281

3.25

0.999995697221

0.000004302779

2.46

0.999496646353

0.000503353647

2.86

0.999947598826

0.000052401174

3.26

0.999995979817

0.000004020183

2.47

0.999522565723

0.000477434277

2.87

0.999950672969

0.000049327031

3.27

0.999996244577

0.000003755423

2.48

0.999547235809

0.000452764191

2.88

0.999953575628

0.000046424372

3.28

0.999996492576

0.000003507424

2.49

0.999570712128

0.000429287872

2.89

0.999956315820

0.000043684180

3.29

0.999996724828

0.000003275172

2.50

0.999593047979

0.000406952021

2.90

0.999958902122

0.000041097878

3.30

0.999996942290

0.000003057710

2.51

0.999614294515

0.000385705485

2.91

0.999961342687

0.000038657313

3.31

0.999997145864

0.000002854136

2.52

0.999634500820

0.000365499180

2.92

0.999963645269

0.000036354731

3.32

0.999997336397

0.000002663603

2.53

0.999653713982

0.000346286018

2.93

0.999965817233

0.000034182767

3.33

0.999997514690

0.000002485310

2.54

0.999671979160

0.000328020840

2.94

0.999967865580

0.000032134420

3.34

0.999997681496

0.000002318504

2.55

0.999689339655

0.000310660345

2.95

0.999969796958

0.000030203042

3.35

0.999997837523

0.000002162477

2.56

0.999705836978

0.000294163022

2.96

0.999971617683

0.000028382317

3.36

0.999997983439

0.00000201656

2.57

0.999721510909

0.000278489091

2.97

0.999973333751

0.000026666249

3.37

0.999998119872

0.000001880128

2.58

0.999736399569

0.000263600431

2.98

0.999974950855

0.000025049145

3.38

0.999998247413

0.000001752587

2.59

0.999750539470

0.000249460530

2.99

0.999976474397

0.000023525603

3.39

0.999998366617

0.000001633383

2.60

0.999763965574

0.000236034426

3.00

0.999977909503

0.000022090497

3.40

0.999998478007

0.000001521993

2.61

0.999776711383

0.000223288617

3.01

0.999979261036

0.000020738964

3.41

0.999998582074

0.000001417926

2.62

0.999788808937

0.000211191063

3.02

0.999980533609

0.000019466391

3.42

0.999998679281

0.000001320719

2.63

0.999800288912

0.000199711088

3.03

0.999981731595

0.000018268405

3.43

0.999998770061

0.000001229939

2.64

0.999811180655

0.000188819345

3.04

0.999982859140

0.000017140860

3.44

0.999998854822

0.000001145178

2.65

0.999821512243

0.000178487757

3.05

0.999983920174

0.000016079826

3.45

0.999998933948

0.000001066052

2.66

0.999831310522

0.000168689478

3.06

0.999984918421

0.000015081579

3.46

0.999999007799

0.000000992201

2.67

0.999840601165

0.000159398835

3.07

0.999985857407

0.000014142593

3.47

0.999999076712

0.000000923288

2.68

0.999849408708

0.000150591292

3.08

0.999986740475

0.000013259525

3.48

0.999999141004

0.000000858996

2.69

0.999857756604

0.000142243396

3.09

0.999987570788

0.000012429212

3.49

0.999999200975

0.000000799025

2.70

0.999865667257

0.000134332743

3.10

0.999988351343

0.000011648657

3.50

0.999999256902

0.000000743098

2.71

0.999873162071

0.000126837929

3.11

0.999989084973

0.000010915027

3.51

0.999999309048

0.000000690952

2.72

0.999880261484

0.000119738516

3.12

0.999989774362

0.000010225638

3.52

0.999999357659

0.000000642341

2.73

0.999886985012

0.000113014988

3.13

0.999990422049

0.000009577951

3.53

0.999999402965

0.000000597035

3.54

0.999999445184

0.000000554816

3.70

0.999999832849

0.000000167151

3.85

0.999999948114

0.000000051886

3.55

0.999999484516

0.000000515484

3.71

0.999999845179

0.000000154821

3.86

0.999999952081

0.000000047919

3.56

0.999999521153

0.000000478847

3.72

0.999999856628

0.000000143372

3.87

0.999999955754

0.000000044246

3.57

0.999999555272

0.000000444728

3.73

0.999999867256

0.000000132744

3.88

0.999999959153

0.000000040847

3.58

0.999999587040

0.000000412960

3.74

0.999999877120

0.000000122880

3.89

0.999999962298

0.000000037702

3.59

0.999999616613

0.000000383387

3.75

0.999999886273

0.000000113727

3.90

0.999999965208

0.000000034792

3.60

0.999999644137

0.000000355863

3.76

0.999999894764

0.000000105236

3.91

0.999999967899

0.000000032101

3.61

0.999999669749

0.000000330251

3.77

0.999999902641

0.000000097359

3.92

0.999999970388

0.000000029612

3.62

0.999999693577

0.000000306423

3.78

0.999999909945

0.000000090055

3.93

0.999999972690

0.000000027310

3.63

0.999999715741

0.000000284259

3.79

0.999999916718

0.000000083282

3.94

0.999999974817

0.000000025183

3.64

0.999999736353

0.000000263647

3.80

0.999999922996

0.000000077004

3.95

0.999999976783

0.000000023217

3.65

0.999999755517

0.000000244483

3.81

0.999999928815

0.000000071185

3.96

0.999999978600

0.000000021400

3.66

0.999999773333

0.000000226667

3.82

0.999999934207

0.000000065793

3.97

0.999999980279

0.000000019721

3.67

0.999999789891

0.000000210109

3.83

0.999999939202

0.000000060798

3.98

0.999999981829

0.000000018171

3.68

0.999999805277

0.000000194723

3.84

0.999999943829

0.000000056171

3.99

0.999999983261

0.000000016739

3.69

0.999999819571

0.000000180429