The Stream Restoration ToolboxThe Stream Restoration Toolbox consists of current basic research cast into the form of tools that can be used by practitioners. The details of a tool are presented through a PowerPoint presentation, augmented by embedded Excel spreadsheets or other commonly available applications. The toolbox is a vehicle for bringing research findings into practice. While many tools are being developed by NCED Researchers, the opportunity to contribute a tool to the Toolbox is open to the community. For more information on how to contribute please contact Jeff Marr at marrx003@umn.edu.

Statement of liability and usageThis tool is provided free of charge. Use this tool at your own risk. In offering this tool, the following entities and persons do not accept any responsibility or liability for the tools use by third parties: The National Center for Earth-surface Dynamics; The universities and institutions associated with the National Center for Earth-surface dynamics; andThe authors of this tool. Users of this tool assume all responsibility for the tool results and application thereof. The readers of the information provided by the Web site assume all risks from using the information provided herein. None of the above-mentioned entities and persons assume liability or responsibility for damage or injury to persons or property arising from any use of the tool, information, ideas or instruction contained in the information provided to you.

Title Page Tool Title: The calculator for topographic characteristics and sediment transport from sand bed surveysTool Author: Brandon McElroyAuthor e-mail: bmcelroy@mit.edu

Version: 1.1Associated files:1) SandBedCalc.ppt (this file)2) SandBedCalc.xls

Date: May, 2006

Outline of this DocumentLimitationsBed material load only, not total loadRequires high data integrity, accurate surveyingMinimum data standards MotivationA.TheoreticApplied

Schematic Overview

Introduction to Tool

Theory Behind ToolCharacteristic Height & LengthSediment Flux from Mass ConservationTranslation and Characteristic Velocity

Using the Tool

VIIReferences

-Estimates of bed geometry and sediment transport produced with this tool are only snapshots of very dynamic systems and are onlyvalid for the transport conditions under which bed was surveyed

-Estimates of sediment flux produced with this tool are inherently limitedby the quality of topographic data used to produce them

-Minimum data standards for reliable tool accuracy-Ten or more characteristic dune lengths in total survey-Many tens of elevation measurements per characteristic dune length-Survey locations repeated within a very small fractionof characteristic dune lengthWarnings on tool limitations

THEORETIC -Characterizing bed topography and sediment transport in sandy systemsis essential for elucidating underlying processes their relations

-Using remote sensing methods, e.g. acoustic doppler, avoids effects of interfering with systems while collecting data, e.g. sediment traps

APPLIED -Rates of sediment delivery to deltas are a fundamental part of theiroverall sediment budgets

-Understanding effects of sediment loads on ecosystems requiresinformation on sediment fluxes

-Characterizations of channels for restoration necessitate transport ratesto evaluate the stability of a reachMotivation

Tool OverviewInput: 2 or more bed surveysCalculation based on mass conservationOutput: Characteristic Values ofDune HeightDune LengthBed Translation VelocityBed Deformation RateBed Material Sediment Flux

Introduction to the toolUnder most conditions, sand bedded rivers transport sediment through through the propagation of topographic forms. Each sediment grain moves intermittently such that the bed topography is continually being recreated. In many sandy systems, there is very little sediment suspended into the flow and transported very large distances, but in some instances that style of transport can play a significant role. This tool does not specifically address that case, rather it is focused on the sediment that is an active part of the bed. A low altitude aerial photograph of the N. Loup River, Nebraska. The clarity of the water is indicative of the absence of suspended sediment. The complex bed topography can be seen as contrasts in color intensity. (from D. Mohrig)

Theory behind toolThis profile comes from the photo in the previous slide and depicts well the complexity of the bed topography. The salient features can, however, be straightforwardly characterized by statistical measures of height and length. That is achieved by calculating the variability of elevations for profile subsets of many different lengths. It is called the roughness function.(1)R = roughness function [m]L = profile subset length [m]N = number of profile subsets of length L = bed elevation [m]L = mean bed elevation of subset [m]i = index of measurements [/]

Theory behind toolThe roughness plot has 2 distinct regimes. One in which R is nearly constant and another in which the slope of R is nearly constant. The value of R at large lengths is the saturation height. The mid point of the transition to constant slopes at lower R occurs at the saturation length. The saturation height and length are related proportionally to a characteristic height and length, respectively, by factors near 1.Plot of roughness function for profile in previous slideSaturation Height = 3.8cmSaturation Length = 190cm

Theory behind toolIn the plot above, the 2 profiles were taken at the same location about half an hour apart, and the gray profile retains much of the form of the black profile. Specifically the bed has been acted upon in a way that gives the appearance that it has been both translated in the direction of sediment transport and that it has been deformed from its initial configuration. That behavior can be understood within the context of the conservation of mass of the bed sediment, i.e. Exners equation:-- Initial Profile-- Subsequent Profile

Theory behind toolExners Equationqs= sediment flux [m2/s]x = position along profile [m]Cb= sediment concentration in bed [/] = bed elevation [m]t = time [s]By using the chain rule in the right-hand side an equation that can be directly integrated is obtained. Vc is a characteristic velocity.This is the equation implemented in the accompanying Excel file tocalculate sediment transport.(2)

Theory behind tool(3)Traditionally, equation 2 has been evaluated for geometrically regular bed topography, as above, leading to the bedload equation. (Eq. 3; Simons, et al., 1971) Further, the constant of integration, qs0 had been assumed zero both for convenience and because is was argued to represent an otherwise negligibly small amount of transport via suspension.

Theory behind toolThis shows the same profiles as before separated by half an hour, but here the subsequent profile has been shifted backward by the translation length, the mean distance of bed propagation. It can be quickly seen that certain parts of the bed changed faster than others. (see red arrows) The deformation is then measured by the amount of non-overlapping area. The two equations below distinguish the parts of the total sediment flux, the translative flux and the deformative flux. Their sum is exactly equation 2.

Theory behind toolcross-correlation functionTo determine the translation length, the evolved profile is cross-correlated with the initial profile. The resulting correlation function has a maximum at the translation length. The characteristic velocity, Vc is then the length divided by the time between surveyed profiles.

Chart1

0.0641042153

0.0768113971

0.0900580645

0.1036609365

0.1175186906

0.1317785822

0.146560847

0.1616128547

0.176730159

0.1921433248

0.2078257831

0.2235298568

0.2393375045

0.2555770109

0.2722150521

0.2886927787

0.3048435717

0.3210416485

0.3374680384

0.3537597821

0.369599853

0.3850418394

0.4001424818

0.4147720876

0.4289428154

0.4428037218

0.4561530626

0.4686373351

0.48007551

0.4907256216

0.5007200646

0.5099926417

0.5184861621

0.5262843855

0.5335219581

0.5400953061

0.5460593686

0.5515911222

0.5569531044

0.5620124703

0.566571979

0.5706964768

0.5745485298

0.5782501754

0.5816298408

0.5846060179

0.5869211225

0.5884594219

0.5891691292

0.5890578997

0.5881527528

0.5864032524

0.5841516432

0.58153077

0.5782740425

0.5738712458

0.5681989918

0.5615747575

0.554053482

0.5454595399

0.5358140963

0.5254823622

0.5143630152

0.5021849616

0.4887824828

0.4741843996

0.4585411193

0.4419458587

0.4245742432

0.4065690249

0.3880585454

0.3691387234

0.3497140907

0.329734211

0.3091518008

0.2878038434

0.2653386375

0.2418439959

0.2178571525

0.1938653556

0.17000145

0.146223556

0.1226757764

0.0994819497

0.0764664506

0.0535419164

0.0309555739

0.0088794461

-0.0127423069

-0.0338768118

-0.0541638109

-0.0733853485

-0.0914986441

-0.108581153

-0.1247634685

-0.1400379351

-0.1542636022

-0.1674368671

-0.1798729552

-0.1917398365

-0.2027249875

-0.2125582154

-0.2213624577

-0.2291854488

-0.2357637504

-0.2408343743

-0.2444054266

-0.2469839694

-0.248933863

-0.2502870802

-0.2509022198

-0.25062257

-0.2495197318

-0.2475910033

-0.2449651766

-0.2415747034

-0.2373858096

-0.2325092744

-0.2270810949

-0.2210720002

-0.2144455142

-0.2074817372

-0.2003378314

-0.1929521029

-0.1852709632

-0.1775132687

-0.1699586695

-0.1625053926

-0.154937734

-0.147135908

-0.1394232458

-0.1321082177

-0.1250926537

-0.1180973542

-0.1111016043

-0.10425356

-0.0975032356

-0.0904683077

-0.0830470037

-0.0754523258

-0.0677162468

-0.0596410755

-0.0511525087

-0.0426815045

-0.0346036312

-0.0269702256

-0.0196191718

-0.0124509487

-0.0053696377

0.0016869056

0.0087159793

0.0157292917

0.0229799238

0.0304944444

0.0379607806

0.0452663519

0.0525165336

0.0598468726

0.0670511214

0.0738095517

0.0803549797

0.0865442031

0.092101625

0.0969425849

0.1015264109

0.1062408303

0.110892655

0.1150257089

0.1183729511

0.1209141173

0.1228293361

0.1242091223

0.1250224035

0.1252714315

0.1249359417

0.123825448

0.122024611

0.1197928159

0.1172390407

0.1143173526

0.1110056858

0.107558472

0.1040292997

0.1004361817

0.0970398544

0.0939767652

0.091082997

0.0878857119

0.0844475046

0.0809935361

0.0775328127

0.0737365995

0.069381537

0.0647414207

0.0598905538

0.0548194795

0.0495826867

0.0443535495

0.0390537117

0.0334778266

0.0278253868

0.0225264497

0.01757381

0.0126315278

0.0077639989

0.0033323817

-0.0008547109

-0.005081882

-0.009356337

-0.0133268247

-0.0169780342

-0.0204486647

-0.0234748275

-0.025778674

-0.0274853938

-0.0287341363

-0.0295757878

-0.0297550159

-0.0293222566

-0.0282892183

-0.0266622055

-0.0245222761

-0.0220981936

-0.0197961483

-0.0177251181

-0.0155356533

-0.0131322856

-0.0105992253

-0.0081697389

-0.0056371289

-0.0026519453

0.0007020518

0.0043095801

0.0081066939

0.012139326

0.0161863684

0.0201059697

0.024068802

0.0284923135

0.0333738023

0.038530888

0.0440428274

0.049991579

0.0562956345

0.0624560373

0.0684908004

0.0744273933

0.0803747939

0.0862803145

0.092377222

0.0989447158

0.1060652048

0.1138836927

0.1223745111

0.1314737143

0.1407395365

0.1502300694

0.1599989012

0.1700514358

0.1802606823

0.1904447108

0.2009187466

0.2115580505

0.2224054031

0.2333887529

0.2445103515

0.2558643162

0.2671854074

0.2784020239

0.2893223287

0.2998958856

0.3100299284

0.3196244856

0.3285570697

0.3367123984

0.3442854608

0.3513519112

0.3576037294

0.3630170483

0.3675801595

0.3715294821

0.3745029573

0.3762299415

0.3767689768

0.3762722718

0.3748375464

0.3720374452

0.3678751203

0.3626793069

0.3565693401

0.3494565066

0.3412737083

0.3323685938

0.3229631718

0.312983139

0.3022587243

0.2906530297

0.2783250189

0.2655696526

0.252578768

0.2393280478

0.2259264696

0.2127113248

0.1997542143

0.1871127795

0.1750144328

0.16371901

0.1532003923

0.1431100307

0.1334010918

0.1239983716

0.1150797475

0.1068438113

0.0994130505

0.0926113894

0.0863892924

0.0810133502

0.0766317187

0.072871081

0.0692748107

0.0655934296

0.0617665946

0.0576155278

0.0530542178

0.0482686476

0.043471369

0.038674991

0.0336912792

0.0284923135

0.0229398451

0.0169910935

0.0105019557

0.0034517169

-0.003984898

-0.0116282107

-0.0193944612

-0.0273629063

-0.0354277202

-0.0435672875

-0.0518563617

-0.0605291102

-0.0696724449

-0.079024729

-0.0883815163

-0.0973744435

-0.1058958838

-0.1138485676

-0.1211028022

-0.1278805963

-0.1343229006

-0.140421159

-0.1459371513

-0.1508888903

-0.1554898286

-0.1598003093

-0.163784757

-0.1673580608

-0.1704859963

-0.1730303148

-0.1750040754

-0.1763451339

-0.1770399805

-0.1770179147

-0.17633973

-0.1751157552

-0.1733522949

-0.1711970545

-0.1689229292

-0.16667132

-0.164476001

-0.1624648636

-0.1607734548

-0.1592815385

-0.1577590004

-0.1561527023

-0.154572523

-0.1530833086

-0.1518588835

-0.1509622928

-0.1501769315

-0.1490403191

-0.1474524843

-0.1455413184

-0.1433505026

-0.140708014

-0.1375201857

-0.1341504273

-0.1307892251

-0.1271992593

-0.1232616451

-0.1191294918

-0.1149563593

-0.1104328764

-0.1054167413

-0.0999872109

-0.0942892886

-0.0883833176

-0.0826412637

-0.0773445782

-0.0724702945

-0.0677603783

-0.063264365

-0.0593145921

-0.0560056272

-0.0530280992

-0.0502343025

-0.0479462172

-0.0463507269

-0.0452136642

-0.0442310619

-0.0434664154

-0.0428593816

-0.0423189954

-0.0419416257

-0.0420019688

-0.0428454216

-0.0445606975

-0.0470721425

-0.0501991774

-0.0541336393

-0.0588723761

-0.0639601123

-0.0687632451

-0.0732061204

-0.0774522051

-0.0814118851

-0.0852711433

-0.0892682

-0.0936678444

-0.0982124925

-0.1027490347

-0.107313497

-0.1119918906

-0.1167198197

-0.1212644677

-0.12561908

-0.129930011

-0.1344688049

-0.1393066124

-0.1444799098

-0.1499409628

-0.1553943603

-0.1608896378

-0.166369154

-0.1719725088

-0.1776821394

-0.1835709982

-0.1895936025

-0.1957215822

-0.2018572174

-0.2079239532

-0.2139560144

-0.2199894264

-0.226215126

-0.2325448498

-0.2387502848

-0.2449417599

-0.2510922556

-0.2572409501

-0.2630861277

-0.2685030491

-0.2735367467

-0.2782682783

-0.2828953353

-0.2873963021

-0.2917734305

-0.2958875708

-0.2994478154

-0.3022807901

-0.3040937858

-0.3048827497

-0.3045499619

-0.303237724

-0.3011446281

-0.2981630471

-0.2941921091

-0.2891642657

-0.2833127836

-0.276636312

-0.2689727348

-0.2602702652

-0.250674357

-0.2404011647

-0.2294772574

-0.2178670596

-0.205529592

-0.1926436324

-0.179462712

-0.1660043933

-0.1521727579

-0.1381654969

-0.1244937257

-0.1115442707

-0.099209505

-0.0875533744

-0.0767348424

-0.0669227797

-0.0579663285

-0.0494169683

-0.0412490307

Shift Distance [m]

Correlation value [/]

Cross-correlation plot

Example

Height0.1125063528

Length2.91

Velocity

Deformation Rate

Bed Material Flux

Time10:3511:03

[hr]019

PositionDepthDepth

[m][m][m]

0-0.0270.0050.0641042153

0.02-0.0320.0140.0768113971

0.04-0.0310.0230.0900580645

0.06-0.0320.0240.1036609365

0.08-0.0350.0290.1175186906

0.1-0.0370.0370.1317785822

0.12-0.0360.040.146560847

0.14-0.0330.0370.1616128547

0.16-0.0290.0380.176730159

0.18-0.0250.0390.1921433248

0.2-0.0160.0370.2078257831

0.22-0.0120.0330.2235298568

0.24-0.010.0340.2393375045

0.26-0.0120.040.2555770109

0.28-0.0110.0440.2722150521

0.3-0.0080.0440.2886927787

0.32-0.0050.0430.3048435717

0.34-0.0010.0450.3210416485

0.360.0030.0430.3374680384

0.3800.0370.3537597821

0.4-0.0110.0330.369599853

0.42-0.0130.0370.3850418394

0.44-0.010.0440.4001424818

0.46-0.0050.0480.4147720876

0.48-0.0090.0510.4289428154

0.5-0.010.0480.4428037218

0.52-0.0060.0460.4561530626

0.540.0010.0410.4686373351

0.560.0080.0380.48007551

0.580.0110.0360.4907256216

0.60.0140.0360.5007200646

0.620.0180.040.5099926417

0.640.0230.0450.5184861621

0.660.0180.0450.5262843855

0.680.0110.0370.5335219581

0.70.0070.0310.5400953061

0.720.0050.0280.5460593686

0.740.0040.0310.5515911222

0.7600.0340.5569531044

0.7800.0330.5620124703

0.80.0070.0340.566571979

0.820.0120.0350.5706964768

0.840.0180.0380.5745485298

0.860.0250.0360.5782501754

0.880.0280.0310.5816298408

0.90.0290.0260.5846060179

0.920.030.0240.5869211225

0.940.0320.0230.5884594219

0.960.0340.0220.5891691292

0.980.030.020.5890578997

10.030.0190.5881527528

1.020.0270.0190.5864032524

1.040.0250.0130.5841516432

1.060.0250.0030.58153077

1.080.026-0.0070.5782740425

1.10.027-0.0110.5738712458

1.120.024-0.0180.5681989918

1.140.021-0.020.5615747575

1.160.019-0.0190.554053482

1.180.021-0.0210.5454595399

1.20.02-0.0240.5358140963

1.220.018-0.0310.5254823622

1.240.02-0.0350.5143630152

1.260.022-0.0380.5021849616

1.280.024-0.0410.4887824828

1.30.027-0.0490.4741843996

1.320.028-0.0530.4585411193

1.340.028-0.0540.4419458587

1.360.027-0.0510.4245742432

1.380.035-0.0490.4065690249

1.40.045-0.0470.3880585454

1.420.049-0.040.3691387234

1.440.052-0.0340.3497140907

1.460.057-0.0280.329734211

1.480.059-0.0250.3091518008

1.50.055-0.0260.2878038434

1.520.051-0.030.2653386375

1.540.044-0.0260.2418439959

1.560.037-0.0210.2178571525

1.580.031-0.0190.1938653556

1.60.028-0.020.17000145

1.620.028-0.0220.146223556

1.640.025-0.0160.1226757764

1.660.022-0.0120.0994819497

1.680.019-0.0130.0764664506

1.70.021-0.0120.0535419164

1.720.022-0.0080.0309555739

1.740.0230.0020.0088794461

1.760.0220.003-0.0127423069

1.780.0230.006-0.0338768118

1.80.0260.009-0.0541638109

1.820.030.014-0.0733853485

1.840.0320.015-0.0914986441

1.860.030.013-0.108581153

1.880.0260.016-0.1247634685

1.90.0220.02-0.1400379351

1.920.0220.026-0.1542636022

1.940.0170.027-0.1674368671

1.960.010.025-0.1798729552

1.9800.027-0.1917398365

2-0.0110.031-0.2027249875

2.02-0.0210.036-0.2125582154

2.04-0.0240.037-0.2213624577

2.06-0.0250.037-0.2291854488

2.08-0.0260.035-0.2357637504

2.1-0.0270.036-0.2408343743

2.12-0.0310.037-0.2444054266

2.14-0.0370.034-0.2469839694

2.16-0.0420.028-0.248933863

2.18-0.0480.024-0.2502870802

2.2-0.0570.023-0.2509022198

2.22-0.070.026-0.25062257

2.24-0.0810.031-0.2495197318

2.26-0.090.031-0.2475910033

2.28-0.0940.033-0.2449651766

2.3-0.0970.035-0.2415747034

2.32-0.10.039-0.2373858096

2.34-0.10.04-0.2325092744

2.36-0.0970.041-0.2270810949

2.38-0.0980.044-0.2210720002

2.4-0.1030.042-0.2144455142

2.42-0.10.038-0.2074817372

2.44-0.0940.037-0.2003378314

2.46-0.090.035-0.1929521029

2.48-0.0940.035-0.1852709632

2.5-0.0950.032-0.1775132687

2.52-0.0910.027-0.1699586695

2.54-0.090.017-0.1625053926

2.56-0.0950.013-0.154937734

2.58-0.10.011-0.147135908

2.6-0.0980.01-0.1394232458

2.62-0.0990.011-0.1321082177

2.64-0.1050.013-0.1250926537

2.66-0.1120.013-0.1180973542

2.68-0.1120.011-0.1111016043

2.7-0.1070.008-0.10425356

2.72-0.1030.007-0.0975032356

2.74-0.0960.002-0.0904683077

2.76-0.092-0.006-0.0830470037

2.78-0.088-0.014-0.0754523258

2.8-0.082-0.021-0.0677162468

2.82-0.075-0.026-0.0596410755

2.84-0.072-0.034-0.0511525087

2.86-0.073-0.043-0.0426815045

2.88-0.069-0.051-0.0346036312

2.9-0.066-0.051-0.0269702256

2.92-0.062-0.052-0.0196191718

2.94-0.058-0.059-0.0124509487

2.96-0.057-0.062-0.0053696377

2.98-0.053-0.060.0016869056

3-0.051-0.0550.0087159793

3.02-0.044-0.0590.0157292917

3.04-0.039-0.0650.0229799238

3.06-0.035-0.0680.0304944444

3.08-0.031-0.0720.0379607806

3.1-0.031-0.0820.0452663519

3.12-0.029-0.0870.0525165336

3.14-0.027-0.0860.0598468726

3.16-0.019-0.0940.0670511214

3.18-0.016-0.0990.0738095517

3.2-0.018-0.0970.0803549797

3.22-0.022-0.0890.0865442031

3.24-0.021-0.0890.092101625

3.26-0.021-0.0920.0969425849

3.28-0.021-0.0930.1015264109

3.3-0.016-0.0940.1062408303

3.32-0.014-0.0950.110892655

3.34-0.015-0.0960.1150257089

3.36-0.015-0.0980.1183729511

3.38-0.01-0.0990.1209141173

3.4-0.004-0.0980.1228293361

3.42-0.002-0.0970.1242091223

3.44-0.001-0.0930.1250224035

3.460.001-0.0870.1252714315

3.480.005-0.0920.1249359417

3.50.007-0.0960.123825448

3.520.01-0.0970.122024611

3.540.013-0.0920.1197928159

3.560.016-0.0940.1172390407

3.580.021-0.0920.1143173526

3.60.024-0.0820.1110056858

3.620.029-0.0760.107558472

3.640.036-0.0790.1040292997

3.660.04-0.080.1004361817

3.680.038-0.0710.0970398544

3.70.041-0.060.0939767652

3.720.042-0.0580.091082997

3.740.044-0.0590.0878857119

3.760.045-0.0590.0844475046

3.780.045-0.0510.0809935361

3.80.047-0.0430.0775328127

3.820.047-0.0450.0737365995

3.840.048-0.0440.069381537

3.860.048-0.0440.0647414207

3.880.049-0.040.0598905538

3.90.05-0.0390.0548194795

3.920.048-0.0360.0495826867

3.940.05-0.0340.0443535495

3.960.052-0.0310.0390537117

3.980.056-0.0240.0334778266

40.055-0.0170.0278253868

4.020.049-0.0140.0225264497

4.040.049-0.0130.01757381

4.060.048-0.010.0126315278

4.080.049-0.0010.0077639989

4.10.0490.0020.0033323817

4.120.0470.004-0.0008547109

4.140.0490.003-0.005081882

4.160.0490.003-0.009356337

4.180.0510.001-0.0133268247

4.20.049-0.005-0.0169780342

4.220.045-0.006-0.0204486647

4.240.039-0.001-0.0234748275

4.260.0330.007-0.025778674

4.280.0330.017-0.0274853938

4.30.0310.028-0.0287341363

4.320.0280.04-0.0295757878

4.340.0270.041-0.0297550159

4.360.0250.041-0.0293222566

4.380.0230.042-0.0282892183

4.40.0220.043-0.0266622055

4.420.0230.041-0.0245222761

4.440.0240.038-0.0220981936

4.460.0220.034-0.0197961483

4.480.0230.037-0.0177251181

4.50.0250.041-0.0155356533

4.520.0260.045-0.0131322856

4.540.0260.04-0.0105992253

4.560.0240.035-0.0081697389

4.580.0240.041-0.0056371289

4.60.0240.044-0.0026519453

4.620.0250.0460.0007020518

4.640.0320.0440.0043095801

4.660.0380.050.0081066939

4.680.0390.0530.012139326

4.70.0360.0530.0161863684

4.720.0370.0460.0201059697

4.740.0380.0420.024068802

4.760.0370.0460.0284923135

4.780.0330.0510.0333738023

4.80.030.0470.038530888

4.820.0260.0390.0440428274

4.840.0210.0380.049991579

4.860.0190.0390.0562956345

4.880.0110.0380.0624560373

4.90.0010.0350.0684908004

4.92-0.0050.0370.0744273933

4.94-0.010.0340.0803747939

4.96-0.0190.0310.0862803145

4.98-0.0310.0260.092377222

5-0.0410.0210.0989447158

5.02-0.0480.0170.1060652048

5.04-0.0550.0170.1138836927

5.06-0.060.020.1223745111

5.08-0.0670.0170.1314737143

5.1-0.0760.0150.1407395365

5.12-0.0810.0150.1502300694

5.14-0.0830.0160.1599989012

5.16-0.0850.0160.1700514358

5.18-0.0880.0130.1802606823

5.2-0.0860.0170.1904447108

5.22-0.0830.0190.2009187466

5.24-0.0790.0220.2115580505

5.26-0.0760.020.2224054031

5.28-0.070.020.2333887529

5.3-0.0650.0230.2445103515

5.32-0.0650.0210.2558643162

5.34-0.0610.0190.2671854074

5.36-0.0520.0170.2784020239

5.38-0.0410.0180.2893223287

5.4-0.0340.0180.2998958856

5.42-0.0320.0220.3100299284

5.44-0.0270.0280.3196244856

5.46-0.0190.0220.3285570697

5.48-0.0110.0150.3367123984

5.5-0.0050.0140.3442854608

5.520.0010.0070.3513519112

5.540.0090.0010.3576037294

5.560.013-0.0020.3630170483

5.580.0170.0040.3675801595

5.60.0180.0070.3715294821

5.620.01400.3745029573

5.640.011-0.0060.3762299415

5.660.012-0.0070.3767689768

5.680.015-0.0070.3762722718

5.70.014-0.0120.3748375464

5.720.01-0.020.3720374452

5.740.012-0.0280.3678751203

5.760.016-0.0330.3626793069

5.780.017-0.0410.3565693401

5.80.017-0.0460.3494565066

5.820.019-0.0490.3412737083

5.840.025-0.0530.3323685938

5.860.028-0.060.3229631718

5.880.029-0.0650.312983139

5.90.03-0.0660.3022587243

5.920.031-0.0660.2906530297

5.940.032-0.0640.2783250189

5.960.03-0.0610.2655696526

5.980.027-0.0620.252578768

60.024-0.0630.2393280478

6.020.023-0.0630.2259264696

6.040.023-0.0630.2127113248

6.060.02-0.0640.1997542143

6.080.018-0.0680.1871127795

6.10.017-0.0630.1750144328

6.120.017-0.0570.16371901

6.140.016-0.050.1532003923

6.160.014-0.0440.1431100307

6.180.012-0.040.1334010918

6.20.011-0.0390.1239983716

6.220.013-0.0430.1150797475

6.240.018-0.0420.1068438113

6.260.021-0.0420.0994130505

6.280.02-0.0390.0926113894

6.30.021-0.0380.0863892924

6.320.024-0.0330.0810133502

6.340.03-0.0270.0766317187

6.360.033-0.0210.072871081

6.380.032-0.0210.0692748107

6.40.033-0.0260.0655934296

6.420.034-0.0320.0617665946

6.440.036-0.0390.0576155278

6.460.038-0.0380.0530542178

6.480.04-0.0320.0482686476

6.50.04-0.0220.043471369

6.520.043-0.0130.038674991

6.540.047-0.0080.0336912792

6.560.05-0.0040.0284923135

6.580.052-0.0050.0229398451

6.60.054-0.0040.0169910935

6.620.0530.0010.0105019557

6.640.0510.0050.0034517169

6.660.0480.009-0.003984898

6.680.0480.012-0.0116282107

6.70.0480.02-0.0193944612

6.720.0470.027-0.0273629063

6.740.050.032-0.0354277202

6.760.0510.04-0.0435672875

6.780.0540.044-0.0518563617

6.80.0560.046-0.0605291102

6.820.0580.045-0.0696724449

6.840.060.045-0.079024729

6.860.0590.051-0.0883815163

6.880.060.06-0.0973744435

6.90.0610.065-0.1058958838

6.920.0610.063-0.1138485676

6.940.0610.059-0.1211028022

6.960.0610.059-0.1278805963

6.980.0640.064-0.1343229006

70.0660.067-0.140421159

7.020.0690.068-0.1459371513

7.040.0690.07-0.1508888903

7.060.0710.072-0.1554898286

7.080.0710.072-0.1598003093

7.10.0690.07-0.163784757

7.120.0650.068-0.1673580608

7.140.0630.071-0.1704859963

7.160.0650.071-0.1730303148

7.180.0670.074-0.1750040754

7.20.0640.078-0.1763451339

7.220.0620.083-0.1770399805

7.240.0620.082-0.1770179147

7.260.0620.074-0.17633973

7.280.0590.07-0.1751157552

7.30.0570.069-0.1733522949

7.320.0580.068-0.1711970545

7.340.0590.068-0.1689229292

7.360.0610.067-0.16667132

7.380.0630.067-0.164476001

7.40.0620.066-0.1624648636

7.420.060.066-0.1607734548

7.440.0580.065-0.1592815385

7.460.0590.059-0.1577590004

7.480.0590.053-0.1561527023

7.50.060.047-0.154572523

7.520.0620.043-0.1530833086

7.540.0610.037-0.1518588835

7.560.0580.031-0.1509622928

7.580.0560.027-0.1501769315

7.60.0520.022-0.1490403191

7.620.0510.015-0.1474524843

7.640.0510.009-0.1455413184

7.660.0510.003-0.1433505026

7.680.0510.001-0.140708014

7.70.0530-0.1375201857

7.720.056-0.003-0.1341504273

7.740.052-0.004-0.1307892251

7.760.048-0.005-0.1271992593

7.780.044-0.01-0.1232616451

7.80.042-0.015-0.1191294918

7.820.038-0.019-0.1149563593

7.840.034-0.022-0.1104328764

7.860.029-0.024-0.1054167413

7.880.023-0.022-0.0999872109

7.90.015-0.014-0.0942892886

7.920.006-0.011-0.0883833176

7.94-0.001-0.01-0.0826412637

7.96-0.01-0.008-0.0773445782

7.98-0.02-0.005-0.0724702945

8-0.03-0.008-0.0677603783

8.02-0.037-0.012-0.063264365

8.04-0.042-0.017-0.0593145921

8.06-0.044-0.011-0.0560056272

8.08-0.0410.002-0.0530280992

8.1-0.0390.009-0.0502343025

8.12-0.0380.008-0.0479462172

8.14-0.0380.008-0.0463507269

8.16-0.0370.013-0.0452136642

8.18-0.0330.009-0.0442310619

8.2-0.032-0.001-0.0434664154

8.22-0.03-0.005-0.0428593816

8.24-0.028-0.006-0.0423189954

8.26-0.024-0.003-0.0419416257

8.28-0.024-0.004-0.0420019688

8.3-0.023-0.001-0.0428454216

8.32-0.02-0.001-0.0445606975

8.34-0.0150.003-0.0470721425

8.36-0.0110.005-0.0501991774

8.38-0.010.005-0.0541336393

8.4-0.0060.006-0.0588723761

8.42-0.0030.011-0.0639601123

8.44-0.0020.017-0.0687632451

8.4600.018-0.0732061204

8.480.0020.024-0.0774522051

8.50.0070.027-0.0814118851

8.520.0120.027-0.0852711433

8.540.0190.025-0.0892682

8.560.0260.027-0.0936678444

8.580.0310.03-0.0982124925

8.60.0370.034-0.1027490347

8.620.0390.041-0.107313497

8.640.0390.049-0.1119918906

8.660.040.053-0.1167198197

8.680.040.054-0.1212644677

8.70.0410.06-0.12561908

8.720.040.064-0.129930011

8.740.0420.067-0.1344688049

8.760.0450.064-0.1393066124

8.780.0460.061-0.1444799098

8.80.0470.066-0.1499409628

8.820.0460.071-0.1553943603

8.840.0460.072-0.1608896378

8.860.0450.067-0.166369154

8.880.0460.066-0.1719725088

8.90.0490.069-0.1776821394

8.920.050.068-0.1835709982

8.940.0510.063-0.1895936025

8.960.0490.059-0.1957215822

8.980.0440.057-0.2018572174

90.0380.054-0.2079239532

9.020.0340.051-0.2139560144

9.040.030.047-0.2199894264

9.060.0230.041-0.226215126

9.080.0150.041-0.2325448498

9.10.010.038-0.2387502848

9.120.0060.033-0.2449417599

9.140.0030.025-0.2510922556

9.1600.025-0.2572409501

9.1800.031-0.2630861277

9.200.036-0.2685030491

9.22-0.0030.035-0.2735367467

9.24-0.0070.036-0.2782682783

9.26-0.010.038-0.2828953353

9.28-0.0120.035-0.2873963021

9.3-0.0120.031-0.2917734305

9.32-0.0110.03-0.2958875708

9.34-0.0110.029-0.2994478154

9.36-0.0110.028-0.3022807901

9.38-0.0120.023-0.3040937858

9.4-0.0170.025-0.3048827497

9.42-0.0220.024-0.3045499619

9.44-0.0230.022-0.303237724

9.46-0.0230.022-0.3011446281

9.48-0.0230.023-0.2981630471

9.5-0.0260.025-0.2941921091

9.52-0.0280.02-0.2891642657

9.54-0.030.015-0.2833127836

9.56-0.0310.013-0.276636312

9.58-0.030.013-0.2689727348

9.6-0.0330.012-0.2602702652

9.62-0.0360.008-0.250674357

9.64-0.0360.006-0.2404011647

9.66-0.0390.003-0.2294772574

9.68-0.040.001-0.2178670596

9.7-0.039-0.002-0.205529592

9.72-0.035-0.006-0.1926436324

9.74-0.03-0.007-0.179462712

9.76-0.028-0.004-0.1660043933

9.78-0.0230.002-0.1521727579

9.8-0.0180.004-0.1381654969

9.82-0.0170.004-0.1244937257

9.84-0.0150.009-0.1115442707

9.86-0.0110.012-0.099209505

9.88-0.0080.012-0.0875533744

9.9-0.010.007-0.0767348424

9.92-0.012-0.001-0.0669227797

9.94-0.013-0.001-0.0579663285

9.96-0.0110.001-0.0494169683

9.98-0.0120.003-0.0412490307

10-0.0130.003

10.02-0.0120.001

10.04-0.011-0.001

10.06-0.0110

10.08-0.0090.002

10.1-0.0080.005

10.12-0.0070.005

10.14-0.0060.008

10.16-0.0040.011

10.180.0030.003

10.20.01-0.004

10.220.012-0.007

10.240.014-0.004

10.260.014-0.004

10.280.016-0.008

10.30.017-0.012

10.320.018-0.014

10.340.021-0.011

10.360.022-0.012

10.380.022-0.016

10.40.019-0.016

10.420.019-0.011

10.440.02-0.006

10.460.019-0.004

10.480.017-0.006

10.50.018-0.014

10.520.024-0.023

10.540.028-0.025

10.560.031-0.025

10.580.032-0.031

10.60.034-0.038

10.620.033-0.038

10.640.033-0.033

10.660.037-0.03

10.680.04-0.023

10.70.042-0.013

10.720.046-0.006

10.740.05-0.004

10.760.055-0.014

10.780.055-0.021

10.80.052-0.027

10.820.048-0.029

10.840.045-0.029

10.860.045-0.026

10.880.046-0.018

10.90.047-0.016

10.920.046-0.018

10.940.046-0.018

10.960.049-0.016

10.980.051-0.016

110.054-0.019

11.020.054-0.022

11.040.056-0.018

11.060.058-0.014

11.080.057-0.012

11.10.053-0.01

11.120.049-0.003

11.140.0460.003

11.160.0430.007

11.180.0420.011

11.20.0410.017

11.220.0360.021

11.240.0320.024

11.260.030.027

11.280.0260.028

11.30.0190.029

11.320.0090.029

11.34-0.0010.033

11.36-0.0120.029

11.38-0.0220.021

11.4-0.0330.013

11.42-0.0410.013

11.44-0.0480.016

11.46-0.0560.02

11.48-0.060.021

11.5-0.0610.019

11.52-0.0590.018

11.54-0.0530.022

11.56-0.0520.025

11.58-0.0530.024

11.6-0.0560.032

11.62-0.0590.042

11.64-0.0640.045

11.66-0.0660.049

11.68-0.0670.054

11.7-0.0640.057

11.72-0.0610.051

11.74-0.0590.046

11.76-0.0590.049

11.78-0.0610.049

11.8-0.0620.048

11.82-0.0630.047

11.84-0.0670.046

11.86-0.0670.041

11.88-0.0650.033

11.9-0.0590.027

11.92-0.0530.023

11.94-0.0450.022

11.96-0.0380.022

11.98-0.0380.022

12-0.0380.022

12.02-0.040.023

12.04-0.0410.025

12.06-0.0410.025

12.08-0.0430.024

12.1-0.040.02

12.12-0.0350.019

12.14-0.0290.021

12.16-0.0280.022

12.18-0.0270.025

12.2-0.0260.027

12.22-0.0220.032

12.24-0.0180.036

12.26-0.0130.037

12.28-0.0070.039

12.3-0.0050.038

12.32-0.0050.037

12.34-0.0060.035

12.36-0.0020.03

12.38-0.0010.023

12.400.016

12.42-0.0020.011

12.44-0.0050.005

12.46-0.01-0.001

12.48-0.016-0.004

12.5-0.019-0.009

12.52-0.021-0.017

12.54-0.02-0.025

12.56-0.018-0.028

12.58-0.017-0.025

12.6-0.012-0.025

12.62-0.008-0.022

12.64-0.006-0.018

12.66-0.004-0.013

12.68-0.002-0.009

12.7-0.002-0.009

12.72-0.003-0.006

12.74-0.001-0.002

12.760.0010.001

12.780.0030.006

12.80.0050.009

12.820.0070.005

12.840.0140.001

12.860.021-0.003

12.880.027-0.005

12.90.03-0.008

12.920.032-0.01

12.940.036-0.005

12.960.037-0.002

12.980.0390

130.040.003

13.020.0440.009

13.040.0460.022

13.060.0450.029

13.080.0450.036

13.10.0480.037

13.120.050.032

13.140.050.023

13.160.050.021

13.180.0530.023

13.20.0570.026

13.220.0560.027

13.240.0530.032

13.260.0520.031

13.280.0490.029

13.30.0440.029

13.320.0380.028

13.340.0310.024

13.360.0270.015

13.380.0220.007

13.40.0160.006

13.420.0130.01

13.440.0130.013

13.460.0140.012

13.480.0160.009

13.50.0190.013

13.520.0230.014

13.540.0250.014

13.560.0240.015

13.580.0240.019

13.60.0280.023

13.620.0310.025

13.640.0330.022

13.660.0320.019

13.680.030.017

13.70.0280.016

13.720.0270.017

13.740.0240.015

13.760.0210.019

13.780.0210.022

13.80.0230.018

13.820.0260.014

13.840.0280.014

13.860.0260.019

13.880.0250.021

13.90.0240.017

13.920.0260.016

13.940.0230.017

13.960.0190.015

13.980.0180.014

140.0160.019

14.020.0120.024

14.040.0080.019

14.060.0070.016

14.080.0070.02

14.10.0060.024

14.120.0080.024

14.140.0110.024

14.160.0120.029

14.180.010.028

14.20.0080.025

14.220.0060.025

14.240.0050.027

14.260.0030.03

14.280.0010.03

14.300.032

14.32-0.0020.033

14.34-0.0030.033

14.36-0.0040.032

14.38-0.0060.028

14.4-0.0080.021

14.42-0.010.016

14.44-0.0110.015

14.46-0.0120.019

14.48-0.0120.022

14.5-0.0110.026

14.52-0.010.029

14.54-0.0120.036

14.56-0.0170.042

14.58-0.0230.044

14.6-0.0270.044

14.62-0.0260.038

14.64-0.0270.033

14.66-0.0290.028

14.68-0.0360.024

14.7-0.0440.022

14.72-0.050.02

14.74-0.0580.022

14.76-0.0640.023

14.78-0.0710.025

14.8-0.0780.027

14.82-0.0850.028

14.84-0.0880.024

14.86-0.0850.024

14.88-0.0840.028

14.9-0.0850.029

14.92-0.0840.027

14.94-0.0830.023

14.96-0.080.022

14.98-0.0770.021

15-0.0720.017

15.02-0.0640.016

15.04-0.0590.015

15.06-0.0550.012

15.08-0.0460.005

15.1-0.036-0.003

15.12-0.03-0.009

15.14-0.029-0.011

15.16-0.03-0.015

15.18-0.028-0.024

15.2-0.024-0.027

15.22-0.023-0.028

15.24-0.024-0.032

15.26-0.025-0.041

15.28-0.022-0.044

15.3-0.018-0.045

15.32-0.016-0.052

15.34-0.015-0.053

15.36-0.01-0.049

15.38-0.004-0.045

15.40-0.046

15.42-0.002-0.044

15.44-0.004-0.04

15.46-0.001-0.036

15.480.001-0.037

15.50.002-0.032

15.520.002-0.028

15.540.004-0.03

15.560.006-0.031

15.580.007-0.029

15.60.007-0.022

15.620.007-0.02

15.640.002-0.016

15.66-0.001-0.014

15.68-0.003-0.016

15.7-0.006-0.021

15.72-0.007-0.023

15.74-0.01-0.019

15.76-0.01-0.018

15.78-0.01-0.015

15.8-0.008-0.022

15.82-0.004-0.03

15.84-0.007-0.035

15.86-0.011-0.039

15.88-0.016-0.044

15.9-0.017-0.053

15.92-0.017-0.062

15.94-0.018-0.067

15.96-0.016-0.075

15.98-0.013-0.081

16-0.008-0.085

16.02-0.004-0.094

16.040-0.106

16.060.002-0.111

16.080.005-0.107

16.10.006-0.101

16.120.01-0.102

16.140.013-0.101

16.160.014-0.093

16.180.016-0.089

16.20.016-0.089

16.220.014-0.083

16.240.01-0.079

16.260.009-0.077

16.280.009-0.083

16.30.004-0.089

16.320-0.094

16.34-0.004-0.098

16.36-0.007-0.092

16.38-0.014-0.085

16.4-0.025-0.079

16.42-0.033-0.069

16.44-0.035-0.061

16.46-0.037-0.056

16.48-0.044-0.053

16.5-0.051-0.047

16.52-0.055-0.043

16.54-0.056-0.044

16.56-0.057-0.039

16.58-0.058-0.029

16.6-0.055-0.028

16.62-0.054-0.034

16.64-0.054-0.033

16.66-0.055-0.028

16.68-0.054-0.026

16.7-0.053-0.026

16.72-0.053-0.019

16.74-0.053-0.008

16.76-0.0540

16.78-0.0510.004

16.8-0.0480.006

16.82-0.0450.011

16.84-0.0420.013

16.86-0.0410.009

16.88-0.0390.003

16.9-0.0370

16.92-0.031-0.005

16.94-0.021-0.015

16.96-0.013-0.019

16.98-0.01-0.016

17-0.009-0.012

17.02-0.009-0.017

17.04-0.007-0.016

17.06-0.008-0.011

17.08-0.009-0.011

17.1-0.009-0.014

17.12-0.006-0.011

17.14-0.001-0.002

17.160.002-0.001

17.180.003-0.007

17.20.004-0.012

17.220.003-0.012

17.240-0.006

17.26-0.003-0.004

17.28-0.006-0.001

17.3-0.007-0.001

17.32-0.0070.002

17.34-0.0060.007

17.36-0.0060.009

17.38-0.0050.01

17.4-0.0030.011

17.42-0.0030.013

17.44-0.0040.018

17.46-0.0030.02

17.48-0.0010.022

17.50.0030.026

17.520.0090.026

17.540.0160.028

17.560.0230.029

17.580.0270.029

17.60.0290.024

17.620.0360.018

17.640.0420.013

17.660.0470.007

17.680.0490.004

17.70.0490.004

17.720.0480.008

17.740.0470.007

17.760.050.002

17.780.054-0.002

17.80.057-0.005

17.820.056-0.007

17.840.054-0.01

17.860.053-0.017

17.880.052-0.024

17.90.052-0.037

17.920.052-0.047

17.940.051-0.054

17.960.051-0.056

17.980.051-0.056

180.049-0.051

18.020.048-0.044

18.040.049-0.04

18.060.05-0.034

18.080.052-0.029

18.10.053-0.025

18.120.054-0.026

18.140.057-0.03

18.160.059-0.034

18.180.058-0.038

18.20.054-0.035

18.220.049-0.03

18.240.045-0.025

18.260.04-0.02

18.280.038-0.016

18.30.04-0.016

18.320.044-0.022

18.340.048-0.026

18.360.05-0.026

18.380.05-0.021

18.40.05-0.023

18.420.045-0.029

18.440.042-0.03

18.460.041-0.022

18.480.042-0.016

18.50.042-0.016

18.520.041-0.018

18.540.04-0.021

18.560.038-0.017

18.580.034-0.009

18.60.032-0.003

18.620.033-0.001

18.640.035-0.007

18.660.033-0.011

18.680.029-0.006

18.70.024-0.004

18.720.019-0.003

18.740.013-0.003

18.760.0060.001

18.780.0020.005

18.8-0.008-0.001

18.82-0.018-0.006

18.84-0.026-0.007

18.86-0.034-0.005

18.88-0.042-0.002

18.9-0.0490.008

18.92-0.0530.017

18.94-0.0590.024

18.96-0.0640.029

18.98-0.0670.034

19-0.070.035

19.02-0.0760.035

19.04-0.080.035

19.06-0.0820.037

19.08-0.0860.037

19.1-0.0890.036

19.12-0.0910.036

19.14-0.0940.037

19.16-0.0990.035

19.18-0.1080.032

19.2-0.1140.031

19.22-0.1150.032

19.24-0.1140.035

19.26-0.1090.037

19.28-0.1020.042

19.3-0.0940.044

19.32-0.0860.042

19.34-0.0840.042

19.36-0.0850.046

19.38-0.0820.046

19.4-0.0820.038

19.42-0.0830.034

19.44-0.0860.036

19.46-0.0810.04

19.48-0.0710.041

19.5-0.0660.039

19.52-0.0660.04

19.54-0.0650.041

19.56-0.060.04

19.58-0.060.036

19.6-0.0670.032

19.62-0.070.03

19.64-0.070.03

19.66-0.0740.032

19.68-0.0810.031

19.7-0.0890.026

19.72-0.0910.019

19.74-0.0950.017

19.76-0.1020.018

19.78-0.1110.017

19.8-0.1150.019

19.82-0.1130.02

19.84-0.1130.022

19.86-0.120.015

19.88-0.1290.009

19.9-0.130.001

19.92-0.128-0.011

19.94-0.126-0.025

19.96-0.124-0.038

19.98-0.122-0.048

20-0.118-0.052

20.02-0.117-0.053

20.04-0.115-0.051

20.06-0.115-0.052

20.08-0.116-0.059

20.1-0.112-0.072

20.12-0.108-0.088

20.14-0.105-0.099

20.16-0.104-0.103

20.18-0.097-0.109

20.2-0.092-0.115

20.22-0.092-0.123

20.24-0.092-0.121

20.26-0.088-0.107

20.28-0.08-0.096

20.3-0.075-0.095

20.32-0.069-0.096

20.34-0.064-0.096

20.36-0.065-0.1

20.38-0.064-0.113

20.4-0.062-0.123

20.42-0.059-0.126

20.44-0.055-0.131

20.46-0.055-0.134

20.48-0.052-0.13

20.5-0.05-0.126

20.52-0.046-0.125

20.54-0.042-0.127

20.56-0.039-0.12

20.58-0.037-0.111

20.6-0.035-0.109

20.62-0.032-0.112

20.64-0.03-0.108

20.66-0.03-0.105

20.68-0.033-0.107

20.7-0.033-0.111

20.72-0.031-0.102

20.74-0.03-0.094

20.76-0.029-0.094

20.78-0.027-0.095

20.8-0.023-0.091

20.82-0.022-0.086

20.84-0.025-0.086

20.86-0.025-0.084

20.88-0.026-0.083

20.9-0.025-0.075

20.92-0.022-0.065

20.94-0.018-0.057

20.96-0.014-0.047

20.98-0.015-0.034

21-0.017-0.013

21.02-0.015-0.014

21.04-0.012-0.01

21.06-0.008-0.006

21.08-0.0060.002

21.1-0.0030.001

21.12-0.0010.007

21.140.0020.018

21.160.0060.016

21.180.0060

21.20.008-0.007

21.220.007-0.005

21.240.0060.003

21.260.0040.006

21.280.0030.008

21.30.0030.002

21.320.002-0.006

21.340.003-0.011

21.360.003-0.016

21.380.004-0.025

21.40.002-0.035

21.42-0.001-0.043

21.44-0.003-0.05

21.46-0.003-0.054

21.480-0.055

21.50.004-0.049

21.520.009-0.046

21.540.011-0.046

21.560.011-0.045

21.580.009-0.04

21.60.007-0.034

21.620.005-0.038

21.640.001-0.04

21.660.002-0.037

21.680.006-0.033

21.70.01-0.028

21.720.012-0.023

21.740.015-0.019

21.760.021-0.015

21.780.027-0.011

21.80.032-0.01

21.820.035-0.012

21.840.038-0.018

21.860.039-0.021

21.880.041-0.022

21.90.043-0.025

21.920.041-0.026

21.940.035-0.026

21.960.03-0.018

21.980.029-0.008

220.03-0.003

22.020.028-0.008

22.040.031-0.017

22.060.035-0.02

22.080.037-0.019

22.10.038-0.016

22.120.039-0.014

22.140.04-0.011

22.160.04-0.009

22.180.038-0.007

22.20.04-0.008

22.220.042-0.007

22.240.045-0.007

22.260.049-0.006

22.280.05-0.007

22.30.052-0.007

22.320.054-0.004

22.340.055-0.004

22.360.056-0.01

22.380.057-0.016

22.40.058-0.017

22.420.057-0.01

22.440.056-0.001

22.460.0540.005

22.480.0530.006

22.50.0530.004

22.520.0540.002

22.540.0550.002

22.560.054-0.002

22.580.054-0.007

22.60.052-0.009

22.620.051-0.006

22.640.0490

22.660.0460.005

22.680.0440.012

22.70.0420.02

22.720.0420.023

22.740.0430.023

22.760.0440.02

22.780.0430.017

22.80.0420.013

22.820.0410.014

22.840.0420.018

22.860.0420.02

22.880.0410.022

22.90.0430.018

22.920.0460.009

22.940.046-0.003

22.960.044-0.006

22.980.045-0.003

230.049-0.002

23.020.050.001

23.040.0490.005

23.060.0480.009

23.080.0490.009

23.10.050.011

23.120.0510.014

23.140.0490.014

23.160.0490.015

23.180.0480.017

23.20.050.016

23.220.0520.014

23.240.0520.01

23.260.0540.012

23.280.0530.009

23.30.0520.01

23.320.0480.012

23.340.0430.014

23.360.0360.016

23.380.0270.017

23.40.0210.022

23.420.0160.023

23.440.0090.022

23.46-0.0020.017

23.48-0.0140.016

23.5-0.0230.018

23.52-0.0320.022

23.54-0.040.027

23.56-0.0490.027

23.58-0.0560.025

23.6-0.0580.022

23.62-0.0570.021

23.64-0.0530.021

23.66-0.0510.018

23.68-0.0470.016

23.7-0.0450.014

23.72-0.0440.013

23.74-0.0420.014

23.76-0.0330.015

23.78-0.0240.017

23.8-0.0190.019

23.82-0.0160.018

23.84-0.0150.016

23.86-0.0110.013

23.88-0.0090.012

23.9-0.0060.015

23.92-0.0040.017

23.94-0.0030.021

23.96-0.0010.025

23.98-0.0020.027

24-0.0020.027

24.02-0.0010.023

24.04-0.0010.02

24.060.0020.016

24.080.0060.01

24.10.0080.005

24.120.0070.004

24.140.0020.006

24.16-0.0030.01

24.18-0.0080.017

24.2-0.0140.024

24.22-0.020.026

24.24-0.0290.024

24.26-0.0340.022

24.28-0.0390.022

24.3-0.0410.023

24.32-0.0460.026

24.34-0.0480.027

24.36-0.0510.027

24.38-0.0560.021

24.4-0.0570.014

24.42-0.060.01

24.44-0.0650.008

24.46-0.072-0.001

24.48-0.076-0.012

24.5-0.079-0.017

24.52-0.08-0.02

24.54-0.083-0.021

24.56-0.082-0.025

24.58-0.076-0.027

24.6-0.068-0.03

24.62-0.062-0.033

24.64-0.057-0.032

24.66-0.051-0.037

24.68-0.044-0.041

24.7-0.038-0.045

24.72-0.036-0.043

24.74-0.033-0.045

24.76-0.03-0.05

24.78-0.029-0.058

24.8-0.03-0.069

24.82-0.028-0.075

24.84-0.023-0.075

24.86-0.018-0.071

24.88-0.017-0.071

24.9-0.019-0.066

24.92-0.023-0.058

24.94-0.028-0.053

24.96-0.029-0.053

24.98-0.031-0.053

25-0.032-0.05

25.02-0.029-0.054

25.04-0.024-0.05

25.06-0.019-0.042

25.08-0.016-0.036

25.1-0.013-0.03

25.12-0.013-0.033

25.14-0.016-0.031

25.16-0.016-0.037

25.18-0.017-0.029

25.2-0.018-0.026

25.22-0.016-0.026

25.24-0.013-0.035

25.26-0.007-0.028

25.280-0.027

25.30.009-0.028

25.320.013-0.038

25.340.012-0.039

25.360.011-0.044

25.380.011-0.048

25.40.015-0.056

25.420.018-0.055

25.440.017-0.051

25.460.014-0.043

25.480.012-0.042

25.50.011-0.044

25.520.01-0.048

25.540.008-0.052

25.560.006-0.057

25.580.006-0.069

25.60.006-0.085

25.620.006-0.092

25.640.006-0.099

25.660.002-0.094

25.68-0.002-0.091

25.7-0.003-0.086

25.72-0.001-0.076

25.740.002-0.077

25.760.005-0.083

25.780.007-0.095

25.80.011-0.108

25.820.013-0.112

25.840.014-0.108

25.860.017-0.101

25.880.019-0.09

25.90.021-0.07

25.920.023-0.059

25.940.025-0.049

25.960.027-0.05

25.980.03-0.043

260.031-0.039

26.020.029-0.039

26.040.024-0.031

26.060.021-0.023

26.080.0210

26.10.020.01

26.120.020.015

26.140.0170.004

26.160.0150.001

26.180.0130.007

26.20.0090.006

26.220.0040.003

26.24-0.001-0.006

26.26-0.001-0.012

26.28-0.001-0.018

26.3-0.004-0.025

26.32-0.008-0.03

26.34-0.008-0.033

26.36-0.008-0.032

26.38-0.011-0.031

26.4-0.016-0.026

26.42-0.016-0.019

26.44-0.0110.001

26.46-0.0070.013

26.48-0.0040.024

26.5-0.0050.013

26.52-0.0010.01

26.540.004-0.006

26.560.008-0.007

26.580.008-0.017

26.60.008-0.019

26.620.009-0.02

26.640.01-0.024

26.660.009-0.026

26.680.008-0.032

26.70.009-0.025

26.720.01-0.017

26.740.011-0.015

26.760.012-0.01

26.780.009-0.013

26.80.006-0.013

26.820.003-0.015

26.840.003-0.014

26.860.006-0.01

26.880.008-0.012

26.90.008-0.012

26.920.008-0.011

26.940.009-0.001

26.960.0080.005

26.980.0070.008

270.0050.01

27.020.0060.014

27.040.0090.017

27.060.0160.021

27.080.0210.024

27.10.0230.031

27.120.0240.03

27.140.0230.031

27.160.0210.027

27.180.0190.027

27.20.0170.023

27.220.0180.027

27.240.0170.025

27.260.0170.022

27.280.0160.019

27.30.0120.021

27.320.010.024

27.340.0090.024

27.360.0080.025

27.380.0060.024

27.40.0050.022

27.420.0080.02

27.440.0090.017

27.460.0060.012

27.480.0040.01

27.50.0010.014

27.5200.018

27.540.0030.017

27.560.0060.019

27.580.0090.024

27.60.0140.029

27.620.020.027

27.640.0230.023

27.660.0260.022

27.680.0280.022

27.70.0310.024

27.720.0320.027

27.740.0320.032

27.760.0350.037

27.780.0350.04

27.80.0340.04

27.820.0340.04

27.840.0340.041

27.860.0360.036

27.880.0350.03

27.90.0360.027

27.920.0390.028

27.940.0420.032

27.960.0440.034

27.980.0410.035

280.040.036

28.020.0420.04

28.040.0460.046

28.060.0470.048

28.080.0470.048

28.10.0480.05

28.120.0480.053

28.140.0440.053

28.160.0420.049

28.180.0410.044

28.20.0420.045

28.220.0390.047

28.240.0360.047

28.260.0340.045

28.280.0340.045

28.30.0350.043

28.320.0360.041

28.340.0370.039

28.360.0370.04

28.380.0350.039

28.40.0350.035

28.420.0370.03

28.440.0370.033

28.460.0380.037

28.480.040.036

28.50.040.031

28.520.0390.03

28.540.0380.033

28.560.0380.033

28.580.0370.033

28.60.0340.035

28.620.0310.035

28.640.0320.034

28.660.0290.039

28.680.0240.044

28.70.020.046

28.720.0170.047

28.740.0130.048

28.760.0110.051

28.780.0120.051

28.80.0130.049

28.820.0130.049

28.840.0120.052

28.860.0110.054

28.880.0070.053

28.90.0060.048

28.920.0090.048

28.940.0120.051

28.960.0130.053

28.980.0160.051

290.020.047

29.020.020.046

29.040.0180.041

29.060.0180.035

29.080.0210.03

29.10.0250.029

29.120.0280.03

29.140.0310.03

29.160.0360.03

29.180.040.03

29.20.040.031

29.220.040.03

29.240.0410.031

29.260.0430.034

29.280.0440.037

29.30.0440.037

29.320.0430.033

29.340.0440.032

29.360.0440.034

29.380.0430.038

29.40.0410.041

29.420.0420.041

29.440.0410.039

29.460.0370.035

29.480.0340.029

29.50.0290.018

29.520.0240.004

29.540.02-0.003

29.560.016-0.002

29.580.0150.002

29.60.0140.003

29.620.0120.006

29.640.0070.01

29.6600.014

29.68-0.0080.011

29.7-0.0130.007

29.72-0.0180.002

29.74-0.0220.007

29.76-0.0240.018

29.78-0.0240.03

29.8-0.0250.031

29.82-0.0270.029

29.84-0.0270.03

29.86-0.0250.034

29.88-0.0250.037

29.9-0.0280.036

29.92-0.0330.032

29.94-0.0330.029

29.96-0.0330.033

29.98-0.0320.038

30-0.0310.044

30.02-0.030.044

30.04-0.030.042

30.06-0.0290.038

30.08-0.0270.036

30.1-0.0260.038

30.12-0.0250.04

30.14-0.0210.043

30.16-0.0130.047

30.18-0.0090.047

30.2-0.0090.044

30.22-0.010.041

30.24-0.0080.048

30.26-0.0040.048

30.28-0.0040.046

30.3-0.0040.043

30.32-0.0020.044

30.340.0020.045

30.360.0040.045

30.380.0020.044

30.40.0040.044

30.420.0070.041

30.440.0110.044

30.460.0130.044

30.480.0130.049

30.50.0130.052

30.520.0110.054

30.540.0090.051

30.560.0060.047

30.580.0050.048

30.60.0070.044

30.620.0080.045

30.640.0090.042

30.660.010.043

30.680.0130.046

30.70.0140.049

30.720.0130.051

30.740.0140.049

30.760.0140.043

30.780.0120.043

30.80.0070.038

30.820.0030.034

30.84-0.0020.025

30.86-0.0070.019

30.88-0.0110.012

30.9-0.0110.008

30.92-0.0140.006

30.94-0.0170.005

30.96-0.020

30.98-0.0240

Example

Shift Distance [m]

Correlation value [/]

Cross-correlation plot

DataInput

0.1125063528

2.91

Time10:4010:59

[hr]

PositionDepthDepth

[m][m][m]

0-0.0530.02

0.02-0.0550.019

0.04-0.0530.024

0.06-0.0470.026

0.08-0.040.027

0.1-0.0410.029

0.12-0.0410.033

0.14-0.0390.042

0.16-0.0350.045

0.18-0.0340.042

0.2-0.0370.037

0.22-0.0380.036

0.24-0.0380.035

0.26-0.0380.031

0.28-0.0460.024

0.3-0.0440.02

0.32-0.0360.017

0.34-0.0280.015

0.36-0.0250.014

0.38-0.0240.02

0.4-0.0290.025

0.42-0.0320.03

0.44-0.0320.032

0.46-0.0250.035

0.48-0.030.033

0.5-0.0430.028

0.52-0.0430.025

0.54-0.0360.02

0.56-0.0290.017

0.58-0.0240.016

0.6-0.0170.016

0.62-0.0060.011

0.64-0.0080.006

0.66-0.0110.009

0.68-0.0130.012

0.7-0.0160.007

0.72-0.0140.002

0.74-0.011-0.002

0.76-0.011-0.006

0.78-0.013-0.014

0.8-0.014-0.012

0.82-0.011-0.008

0.84-0.013-0.009

0.86-0.012-0.014

0.88-0.01-0.018

0.9-0.004-0.022

0.92-0.002-0.031

0.94-0.002-0.036

0.96-0.001-0.029

0.98-0.001-0.029

10.002-0.036

1.020.008-0.043

1.040.01-0.042

1.060.014-0.038

1.080.013-0.04

1.10.012-0.043

1.120.009-0.046

1.140.007-0.042

1.160.009-0.041

1.180.011-0.04

1.20.012-0.042

1.220.018-0.038

1.240.022-0.036

1.260.018-0.036

1.280.011-0.031

1.30.012-0.024

1.320.02-0.027

1.340.023-0.031

1.360.026-0.029

1.380.025-0.022

1.40.021-0.017

1.420.017-0.02

1.440.012-0.017

1.460.008-0.008

1.480.009-0.003

1.50.01-0.001

1.520.017-0.002

1.540.018-0.002

1.560.015-0.003

1.580.01-0.009

1.60.006-0.012

1.620.014-0.014

1.640.022-0.014

1.660.017-0.008

1.680.0130.005

1.70.0150.015

1.720.0220.018

1.740.0260.015

1.760.0220.014

1.780.0280.018

1.80.0260.02

1.820.0140.019

1.840.010.017

1.860.0090.019

1.880.0090.016

1.90.0040.015

1.920.0040.018

1.940.0090.022

1.960.0080.02

1.980.0040.02

20.0040.02

2.0200.021

2.04-0.0040.019

2.06-0.0080.016

2.08-0.0120.017

2.1-0.0160.017

2.12-0.0230.02

2.14-0.0260.021

2.16-0.0310.016

2.18-0.0360.016

2.2-0.0380.02

2.22-0.0430.021

2.24-0.0470.02

2.26-0.0550.022

2.28-0.0630.026

2.3-0.0780.025

2.32-0.0880.02

2.34-0.0940.02

2.36-0.0920.023

2.38-0.0910.019

2.4-0.0880.017

2.42-0.090.019

2.44-0.0950.021

2.46-0.0930.019

2.48-0.0840.014

2.5-0.0830.011

2.52-0.0860.007

2.54-0.0920.004

2.56-0.089-0.004

2.58-0.096-0.01

2.6-0.108-0.008

2.62-0.11-0.005

2.64-0.103-0.003

2.66-0.102-0.006

2.68-0.106-0.009

2.7-0.11-0.012

2.72-0.105-0.026

2.74-0.093-0.039

2.76-0.082-0.049

2.78-0.071-0.056

2.8-0.068-0.058

2.82-0.07-0.062

2.84-0.072-0.065

2.86-0.08-0.074

2.88-0.082-0.082

2.9-0.084-0.092

2.92-0.079-0.096

2.94-0.076-0.098

2.96-0.073-0.099

2.98-0.073-0.096

3-0.067-0.095

3.02-0.064-0.095

3.04-0.061-0.098

3.06-0.059-0.098

3.08-0.053-0.092

3.1-0.046-0.085

3.12-0.047-0.08

3.14-0.044-0.074

3.16-0.04-0.072

3.18-0.042-0.072

3.2-0.05-0.071

3.22-0.051-0.07

3.24-0.047-0.073

3.26-0.038-0.08

3.28-0.032-0.086

3.3-0.023-0.084

3.32-0.018-0.089

3.34-0.02-0.094

3.36-0.021-0.095

3.38-0.015-0.092

3.4-0.007-0.094

3.42-0.001-0.095

3.44-0.001-0.084

3.46-0.003-0.073

3.480-0.07

3.50.008-0.073

3.520.013-0.075

3.540.011-0.078

3.560.004-0.074

3.580.004-0.068

3.60.005-0.064

3.620.003-0.061

3.640.005-0.053

3.660.01-0.042

3.680.014-0.037

3.70.019-0.039

3.720.024-0.041

3.740.026-0.037

3.760.025-0.032

3.780.026-0.032

3.80.026-0.034

3.820.018-0.031

3.840.015-0.025

3.860.019-0.025

3.880.03-0.024

3.90.039-0.019

3.920.043-0.014

3.940.044-0.01

3.960.046-0.011

3.980.045-0.011

40.042-0.013

4.020.037-0.015

4.040.041-0.018

4.060.049-0.017

4.080.05-0.019

4.10.051-0.022

4.120.054-0.021

4.140.063-0.01

4.160.068-0.001

4.180.0740.002

4.20.0760.008

4.220.0730.014

4.240.070.02

4.260.0710.023

4.280.0690.03

4.30.0620.038

4.320.0580.035

4.340.0580.032

4.360.0550.033

4.380.0440.035

4.40.0390.033

4.420.0360.028

4.440.0340.025

4.460.0330.027

4.480.0320.027

4.50.0280.021

4.520.0290.019

4.540.0310.019

4.560.0340.021

4.580.030.021

4.60.0270.023

4.620.030.026

4.640.0290.022

4.660.0220.018

4.680.0160.021

4.70.0120.024

4.720.0080.022

4.74-0.0010.02

4.760.0010.022

4.780.0110.02

4.80.0190.013

4.820.0160.006

4.840.0170.003

4.860.022-0.001

4.880.025-0.008

4.90.02-0.012

4.920.015-0.006

4.940.0120.003

4.960.0070.005

4.980.001-0.001

5-0.004-0.001

5.02-0.0060.009

5.04-0.0110.017

5.06-0.0180.024

5.08-0.0260.025

5.1-0.0230.025

5.12-0.0190.02

5.14-0.0160.015

5.16-0.020.015

5.18-0.0250.015

5.2-0.0310.01

5.22-0.0420.01

5.24-0.0460.013

5.26-0.0530.016

5.28-0.060.015

5.3-0.0660.015

5.32-0.0620.019

5.34-0.0510.02

5.36-0.050.021

5.38-0.0480.022

5.4-0.0450.021

5.42-0.0380.021

5.44-0.0330.02

5.46-0.0350.021

5.48-0.0290.017

5.5-0.0270.012

5.52-0.020.009

5.54-0.0170.007

5.56-0.0140.01

5.58-0.0120.008

5.6-0.016-0.003

5.62-0.018-0.019

5.64-0.012-0.031

5.66-0.007-0.037

5.68-0.011-0.042

5.7-0.016-0.048

5.72-0.013-0.054

5.74-0.01-0.053

5.76-0.009-0.052

5.78-0.007-0.054

5.80.001-0.057

5.820.01-0.061

5.840.014-0.062

5.860.022-0.065

5.880.028-0.061

5.90.035-0.054

5.920.037-0.051

5.940.037-0.048

5.960.039-0.048

5.980.036-0.049

60.033-0.049

6.020.032-0.046

6.040.031-0.041

6.060.028-0.038

6.080.023-0.035

6.10.023-0.035

6.120.023-0.035

6.140.024-0.038

6.160.026-0.043

6.180.03-0.047

6.20.035-0.043

6.220.033-0.035

6.240.029-0.032

6.260.028-0.029

6.280.03-0.019

6.30.032-0.008

6.320.0340

6.340.0380.005

6.360.040.011

6.380.0390.011

6.40.0380.008

6.420.0420.009

6.440.0470.013

6.460.0510.017

6.480.0520.021

6.50.0510.027

6.520.0490.03

6.540.0440.03

6.560.0390.033

6.580.0360.039

6.60.0370.047

6.620.0410.047

6.640.0440.047

6.660.040.048

6.680.0360.049

6.70.0330.045

6.720.0320.04

6.740.0290.042

6.760.0310.044

6.780.0370.045

6.80.0410.046

6.820.0390.05

6.840.0380.056

6.860.0360.059

6.880.0390.059

6.90.0410.061

6.920.0450.062

6.940.0460.061

6.960.0470.06

6.980.0540.059

70.060.058

7.020.0630.058

7.040.0620.056

7.060.060.058

7.080.0610.063

7.10.0630.069

7.120.0640.073

7.140.0670.071

7.160.0680.072

7.180.0650.071

7.20.0640.067

7.220.0650.061

7.240.0650.057

7.260.0610.055

7.280.0620.047

7.30.0650.036

7.320.0660.027

7.340.0650.025

7.360.0650.022

7.380.0690.01

7.40.068-0.003

7.420.071-0.009

7.440.076-0.011

7.460.081-0.013

7.480.081-0.018

7.50.083-0.017

7.520.085-0.014

7.540.086-0.011

7.560.082-0.009

7.580.077-0.01

7.60.077-0.013

7.620.077-0.01

7.640.073-0.005

7.660.066-0.005

7.680.059-0.003

7.70.055-0.003

7.720.051-0.003

7.740.047-0.006

7.760.046-0.007

7.780.044-0.003

7.80.0420.001

7.820.0380.003

7.840.0320.005

7.860.0310.01

7.880.0290.016

7.90.0290.021

7.920.0270.021

7.940.0250.021

7.960.0230.023

7.980.020.024

80.0190.019

8.020.0180.015

8.040.0170.013

8.060.0170.011

8.080.0170.006

8.10.0130.003

8.120.0070.008

8.140.0040.017

8.1600.025

8.18-0.0070.031

8.2-0.0160.034

8.22-0.0210.035

8.24-0.0210.035

8.26-0.0230.036

8.28-0.0330.043

8.3-0.0450.05

8.32-0.0510.053

8.34-0.0550.052

8.36-0.0560.05

8.38-0.0510.052

8.4-0.0480.053

8.42-0.0510.054

8.44-0.0520.055

8.46-0.0480.056

8.48-0.0420.06

8.5-0.0360.064

8.52-0.0270.064

8.54-0.0170.057

8.56-0.0130.055

8.58-0.0090.056

8.6-0.0040.06

8.620.0010.061

8.640.0070.058

8.660.010.057

8.680.0140.057

8.70.0160.058

8.720.0150.056

8.740.010.05

8.760.0040.049

8.780.0030.048

8.80.0040.045

8.820.0060.04

8.840.010.037

8.860.0190.035

8.880.0260.032

8.90.0280.028

8.920.0310.027

8.940.0360.026

8.960.0440.023

8.980.0450.023

90.0450.024

9.020.0440.029

9.040.0440.03

9.060.0420.03

9.080.0420.031

9.10.0450.033

9.120.0520.033

9.140.0560.033

9.160.0570.033

9.180.0550.032

9.20.0520.027

9.220.0480.022

9.240.0420.02

9.260.0340.022

9.280.0270.021

9.30.0230.019

9.320.0170.013

9.340.0050.009

9.36-0.0080.006

9.38-0.010.006

9.4-0.0110.004

9.42-0.0130.003

9.44-0.0160.002

9.46-0.02-0.001

9.48-0.026-0.001

9.5-0.0310

9.52-0.033-0.002

9.54-0.0350

9.56-0.0360.003

9.58-0.0340.008

9.6-0.0320.008

9.62-0.0360.008

9.64-0.0410.014

9.66-0.0480.019

9.68-0.0510.022

9.7-0.0510.02

9.72-0.0480.022

9.74-0.0450.025

9.76-0.0430.025

9.78-0.0390.021

9.8-0.0370.02

9.82-0.0350.02

9.84-0.0340.021

9.86-0.0330.022

9.88-0.030.02

9.9-0.030.018

9.92-0.0260.015

9.94-0.0250.018

9.96-0.0220.021

9.98-0.0170.021

10-0.0140.018

10.02-0.0110.014

10.04-0.0120.013

10.06-0.0070.013

10.08-0.0070.012

10.1-0.0060.012

10.1200.016

10.1400.021

10.16-0.0040.025

10.18-0.0070.029

10.2-0.0030.032

10.220.0030.033

10.24-0.0040.032

10.26-0.0050.033

10.280.0010.03

10.30.0090.024

10.320.0120.019

10.340.0130.019

10.360.0180.02

10.380.0220.014

10.40.0220.007

10.420.0250.002

10.440.027-0.001

10.460.03-0.006

10.480.03-0.01

10.50.031-0.009

10.520.03-0.002

10.540.026-0.001

10.560.027-0.003

10.580.028-0.007

10.60.026-0.01

10.620.026-0.013

10.640.03-0.019

10.660.035-0.023

10.680.035-0.024

10.70.039-0.022

10.720.046-0.022

10.740.048-0.021

10.760.042-0.019

10.780.034-0.017

10.80.036-0.015

10.820.04-0.012

10.840.039-0.009

10.860.033-0.007

10.880.029-0.004

10.90.03-0.003

10.920.032-0.007

10.940.03-0.009

10.960.031-0.009

10.980.033-0.007

110.036-0.01

11.020.039-0.012

11.040.038-0.011

11.060.035-0.008

11.080.0350

11.10.0340.008

11.120.0350.016

11.140.0370.019

11.160.0370.019

11.180.0350.016

11.20.0340.016

11.220.0360.021

11.240.0370.026

11.260.0360.029

11.280.0380.029

11.30.0440.029

11.320.0460.028

11.340.0490.029

11.360.050.029

11.380.050.028

11.40.0470.027

11.420.040.028

11.440.0290.029

11.460.0140.028

11.4800.026

11.5-0.010.022

11.52-0.0210.02

11.54-0.0270.018

11.56-0.0280.019

11.58-0.0280.022

11.6-0.030.022

11.62-0.0320.021

11.64-0.0310.022

11.66-0.0330.023

11.68-0.0380.023

11.7-0.0420.022

11.72-0.0430.025

11.74-0.0470.029

11.76-0.0510.033

11.78-0.0580.034

11.8-0.0620.03

11.82-0.0660.025

11.84-0.0640.021

11.86-0.0610.022

11.88-0.0580.023

11.9-0.0540.021

11.92-0.0520.021

11.94-0.0480.025

11.96-0.0450.031

11.98-0.0430.034

12-0.0430.032

12.02-0.0480.031

12.04-0.0540.031

12.06-0.0590.028

12.08-0.0610.027

12.1-0.0580.025

12.12-0.0560.023

12.14-0.0550.021

12.16-0.0570.02

12.18-0.0580.018

12.2-0.0530.015

12.22-0.0430.018

12.24-0.0370.02

12.26-0.0360.017

12.28-0.0360.015

12.3-0.0320.016

12.32-0.0290.017

12.34-0.0280.013

12.36-0.0220.007

12.38-0.020.006

12.4-0.0170.001

12.42-0.014-0.008

12.44-0.005-0.013

12.460.002-0.015

12.480.001-0.015

12.5-0.001-0.016

12.520-0.012

12.540-0.011

12.560-0.011

12.58-0.004-0.013

12.6-0.01-0.014

12.62-0.01-0.018

12.64-0.009-0.018

12.66-0.007-0.015

12.68-0.005-0.011

12.7-0.001-0.004

12.720.0040.003

12.740.0070.008

12.760.010.006

12.780.0140.004

12.80.0180.007

12.820.020.007

12.840.0210.002

12.860.021-0.002

12.880.019-0.005

12.90.02-0.008

12.920.019-0.012

12.940.016-0.012

12.960.013-0.01

12.980.011-0.01

130.015-0.011

13.020.015-0.005

13.040.0170.001

13.060.020.003

13.080.0220.002

13.10.0230.004

13.120.0250.009

13.140.030.011

13.160.0320.009

13.180.030.007

13.20.0280.006

13.220.0280.007

13.240.030.007

13.260.0320.005

13.280.0370.007

13.30.0420.012

13.320.0470.017

13.340.0490.02

13.360.0510.021

13.380.0530.022

13.40.0520.026

13.420.0520.028

13.440.0530.027

13.460.0560.021

13.480.0530.018

13.50.0490.017

13.520.0460.015

13.540.0440.014

13.560.0430.016

13.580.040.021

13.60.0390.025

13.620.040.026

13.640.0430.026

13.660.0450.024

13.680.0450.02

13.70.0460.015

13.720.0480.012

13.740.0460.013

13.760.0460.014

13.780.0420.016

13.80.0390.018

13.820.0370.021

13.840.0380.027

13.860.0330.032

13.880.0280.035

13.90.0230.036

13.920.0180.035

13.940.0120.035

13.960.0080.032

13.980.0060.029

140.0040.029

14.0200.029

14.040.0010.03

14.060.0040.03

14.080.0030.027

14.10.0040.029

14.120.0020.031

14.1400.031

14.1600.031

14.180.0030.028

14.20.0110.03

14.220.0160.029

14.240.0160.028

14.260.0150.026

14.280.0180.025

14.30.0240.027

14.320.0280.027

14.340.0250.03

14.360.0210.033

14.380.0190.038

14.40.0180.042

14.420.020.043

14.440.0180.042

14.460.0150.041

14.480.0110.04

14.50.0060.04

14.520.0030.037

14.54-0.0020.036

14.56-0.0060.032

14.58-0.0090.027

14.6-0.0130.023

14.62-0.0160.024

14.64-0.020.024

14.66-0.0170.021

14.68-0.0150.018

14.7-0.0170.019

14.72-0.0170.02

14.74-0.0150.022

14.76-0.0180.026

14.78-0.0230.029

14.8-0.0270.03

14.82-0.0270.029

14.84-0.030.028

14.86-0.0350.027

14.88-0.0410.026

14.9-0.0490.022

14.92-0.0540.019

14.94-0.0580.014

14.96-0.0590.01

14.98-0.0660.007

15-0.0780.003

15.02-0.088-0.001

15.04-0.094-0.005

15.06-0.1-0.013

15.08-0.104-0.02

15.1-0.103-0.026

15.12-0.097-0.031

15.14-0.094-0.035

15.16-0.095-0.036

15.18-0.09-0.033

15.2-0.086-0.029

15.22-0.083-0.023

15.24-0.082-0.02

15.26-0.077-0.019

15.28-0.072-0.022

15.3-0.064-0.024

15.32-0.057-0.022

15.34-0.046-0.02

15.36-0.034-0.018

15.38-0.023-0.018

15.4-0.014-0.02

15.42-0.009-0.021

15.44-0.009-0.023

15.46-0.008-0.024

15.48-0.005-0.02

15.5-0.005-0.013

15.52-0.009-0.008

15.54-0.015-0.003

15.56-0.0140.001

15.58-0.0120.003

15.6-0.005-0.001

15.620.004-0.007

15.640.011-0.014

15.660.012-0.019

15.680.01-0.024

15.70.011-0.029

15.720.011-0.035

15.740.01-0.042

15.760.009-0.05

15.780.004-0.058

15.80.006-0.069

15.820.011-0.077

15.840.015-0.083

15.860.014-0.092

15.880.012-0.101

15.90.01-0.106

15.920.009-0.112

15.940.011-0.118

15.960.015-0.123

15.980.018-0.124

160.021-0.12

16.020.022-0.115

16.040.018-0.101

16.060.012-0.095

16.080.003-0.09

16.1-0.003-0.081

16.12-0.003-0.073

16.140.001-0.07

16.160.003-0.073

16.180.004-0.072

16.20.008-0.07

16.220.011-0.071

16.240.008-0.075

16.260.001-0.073

16.28-0.002-0.066

16.3-0.006-0.059

16.32-0.006-0.056

16.34-0.004-0.053

16.36-0.003-0.051

16.380.001-0.046

16.40.002-0.041

16.420.009-0.038

16.440.013-0.037

16.460.016-0.038

16.480.012-0.038

16.50.008-0.039

16.520.008-0.042

16.540.008-0.045

16.560.007-0.046

16.580.007-0.046

16.60.008-0.04

16.620.01-0.032

16.640.009-0.024

16.660.011-0.018

16.680.011-0.013

16.70.003-0.008

16.72-0.011-0.006

16.74-0.021-0.008

16.76-0.026-0.009

16.78-0.027-0.01

16.8-0.028-0.012

16.82-0.033-0.014

16.84-0.036-0.01

16.86-0.042-0.006

16.88-0.046-0.003

16.9-0.051-0.003

16.92-0.0490

16.94-0.0430.004

16.96-0.0380.008

16.98-0.0320.014

17-0.0270.019

17.02-0.020.019

17.04-0.0150.018

17.06-0.0140.021

17.08-0.0150.021

17.1-0.0150.021

17.12-0.0150.022

17.14-0.0160.024

17.16-0.0180.023

17.18-0.0170.02

17.2-0.0150.023

17.22-0.0170.027

17.24-0.0190.032

17.26-0.0210.034

17.28-0.0230.038

17.3-0.0220.043

17.32-0.0170.045

17.34-0.010.047

17.36-0.0060.048

17.38-0.0040.049

17.400.046

17.420.0020.042

17.440.0040.037

17.460.0050.029

17.480.010.021

17.50.0160.012

17.520.020.004

17.540.021-0.004

17.560.022-0.009

17.580.025-0.013

17.60.026-0.02

17.620.027-0.027

17.640.026-0.03

17.660.025-0.034

17.680.025-0.037

17.70.027-0.041

17.720.029-0.04

17.740.03-0.038

17.760.03-0.037

17.780.034-0.036

17.80.039-0.037

17.820.044-0.037

17.840.048-0.038

17.860.054-0.036

17.880.059-0.033

17.90.062-0.028

17.920.06-0.024

17.940.056-0.02

17.960.055-0.021

17.980.052-0.02

180.049-0.016

18.020.048-0.016

18.040.051-0.014

18.060.054-0.015

18.080.053-0.013

18.10.052-0.013

18.120.052-0.017

18.140.054-0.019

18.160.055-0.02

18.180.054-0.023

18.20.053-0.024

18.220.054-0.023

18.240.058-0.02

18.260.056-0.013

18.280.051-0.006

18.30.0490.002

18.320.0530.006

18.340.0540.009

18.360.0520.014

18.380.0530.02

18.40.0520.022

18.420.0520.024

18.440.0480.023

18.460.0480.021

18.480.0450.018

18.50.0430.016

18.520.0440.014

18.540.0440.015

18.560.0440.016

18.580.0460.019

18.60.050.018

18.620.0540.016

18.640.0530.019

18.660.0530.022

18.680.0510.026

18.70.0480.026

18.720.0440.028

18.740.0390.032

18.760.0350.037

18.780.0320.039

18.80.0280.037

18.820.0260.032

18.840.0260.03

18.860.0260.032

18.880.0270.037

18.90.0270.041

18.920.0240.045

18.940.0140.048

18.960.0050.054

18.98-0.0040.061

19-0.0130.064

19.02-0.0230.064

19.04-0.030.066

19.06-0.0310.071

19.08-0.0370.072

19.1-0.0440.07

19.12-0.0510.069

19.14-0.0550.065

19.16-0.060.059

19.18-0.0620.054

19.2-0.0580.051

19.22-0.0580.05

19.24-0.0690.047

19.26-0.0790.047

19.28-0.080.048

19.3-0.0790.047

19.32-0.080.049

19.34-0.080.051

19.36-0.0770.058

19.38-0.0810.06

19.4-0.0840.061

19.42-0.0840.059

19.44-0.080.057

19.46-0.0780.055

19.48-0.0760.052

19.5-0.0730.051

19.52-0.0770.052

19.54-0.0780.055

19.56-0.0780.056

19.58-0.0740.051

19.6-0.0740.043

19.62-0.0780.036

19.64-0.080.028

19.66-0.0820.021

19.68-0.0810.008

19.7-0.076-0.005

19.72-0.074-0.017

19.74-0.074-0.028

19.76-0.077-0.037

19.78-0.081-0.044

19.8-0.085-0.054

19.82-0.09-0.064

19.84-0.09-0.074

19.86-0.087-0.079

19.88-0.096-0.08

19.9-0.109-0.083

19.92-0.121-0.086

19.94-0.123-0.095

19.96-0.122-0.099

19.98-0.122-0.104

20-0.122-0.107

20.02-0.128-0.108

20.04-0.126-0.107

20.06-0.122-0.106

20.08-0.122-0.106

20.1-0.129-0.104

20.12-0.128-0.102

20.14-0.118-0.101

20.16-0.114-0.097

20.18-0.115-0.086

20.2-0.113-0.069

20.22-0.108-0.069

20.24-0.101-0.059

20.26-0.094-0.053

20.28-0.084-0.049

20.3-0.073-0.046

20.32-0.067-0.049

20.34-0.063-0.052

20.36-0.063-0.055

20.38-0.064-0.057

20.4-0.063-0.044

20.42-0.064-0.047

20.44-0.062-0.052

20.46-0.061-0.06

20.48-0.062-0.069

20.5-0.06-0.073

20.52-0.063-0.074

20.54-0.067-0.075

20.56-0.064-0.075

20.58-0.057-0.075

20.6-0.052-0.072

20.62-0.05-0.072

20.64-0.043-0.073

20.66-0.035-0.074

20.68-0.032-0.073

20.7-0.027-0.071

20.72-0.022-0.069

20.74-0.017-0.068

20.76-0.014-0.067

20.78-0.013-0.066

20.8-0.013-0.065

20.82-0.012-0.06

20.84-0.006-0.056

20.86-0.001-0.05

20.88-0.005-0.044

20.9-0.01-0.04

20.92-0.012-0.036

20.94-0.013-0.033

20.96-0.017-0.027

20.98-0.025-0.02

21-0.031-0.016

21.02-0.034-0.016

21.04-0.034-0.02

21.06-0.032-0.029

21.08-0.026-0.031

21.1-0.02-0.028

21.12-0.016-0.026

21.14-0.01-0.027

21.16-0.005-0.025

21.18-0.001-0.023

21.20.002-0.021

21.220.005-0.021

21.240.007-0.025

21.260.008-0.026

21.280.009-0.027

21.30.009-0.023

21.320.008-0.021

21.340.005-0.028

21.360.004-0.037

21.380.002-0.042

21.4-0.001-0.039

21.420-0.035

21.440-0.033

21.460.003-0.027

21.480.002-0.021

21.50.003-0.015

21.520.01-0.004

21.540.0160.007

21.560.0170.01

21.580.0150.005

21.60.013-0.005

21.620.014-0.015

21.640.012-0.024

21.660.014-0.028

21.680.014-0.03

21.70.017-0.03

21.720.021-0.029

21.740.026-0.027

21.760.03-0.03

21.780.032-0.03

21.80.032-0.029

21.820.032-0.028

21.840.03-0.025

21.860.026-0.024

21.880.024-0.024

21.90.025-0.02

21.920.029-0.016

21.940.029-0.01

21.960.029-0.009

21.980.033-0.008

220.033-0.008

22.020.028-0.013

22.040.022-0.012

22.060.021-0.01

22.080.023-0.008

22.10.024-0.008

22.120.023-0.01

22.140.023-0.01

22.160.023-0.01

22.180.023-0.008

22.20.023-0.007

22.220.024-0.006

22.240.024-0.004

22.260.0240

22.280.0240.006

22.30.0250.009

22.320.0260.012

22.340.0270.014

22.360.0280.011

22.380.0290.01

22.40.0310.01

22.420.0280.012

22.440.0280.016

22.460.030.015

22.480.0360.014

22.50.040.011

22.520.0410.006

22.540.0440.002

22.560.0460

22.580.0490.002

22.60.053-0.001

22.620.056-0.006

22.640.055-0.011

22.660.054-0.01

22.680.055-0.009

22.70.056-0.006

22.720.0550

22.740.0530.008

22.760.0520.013

22.780.0480.02

22.80.0440.024

22.820.0450.029

22.840.0470.029

22.860.0490.028

22.880.0490.029

22.90.0470.027

22.920.0450.027

22.940.0430.026

22.960.040.026

22.980.0370.024

230.0370.025

23.020.0370.027

23.040.0380.031

23.060.0380.033

23.080.0410.032

23.10.0420.033

23.120.0420.035

23.140.0430.036

23.160.0470.035

23.180.0490.032

23.20.0510.033

23.220.0510.035

23.240.050.036

23.260.0530.035

23.280.0560.033

23.30.060.03

23.320.0640.027

23.340.0640.025

23.360.0610.021

23.380.060.012

23.40.0570.01

23.420.0540.011

23.440.0470.015

23.460.0420.015

23.480.040.015

23.50.040.014

23.520.040.011

23.540.0350.008

23.560.0280.006

23.580.0210.005

23.60.0150.004

23.620.0070.005

23.64-0.0020.008

23.66-0.0110.011

23.68-0.0220.014

23.7-0.0280.018

23.72-0.0310.025

23.74-0.0360.027

23.76-0.0440.026

23.78-0.050.026

23.8-0.050.022

23.82-0.0490.023

23.84-0.050.025

23.86-0.0520.028

23.88-0.0550.032

23.9-0.0580.034

23.92-0.0590.04

23.94-0.0610.045

23.96-0.060.046

23.98-0.0540.047

24-0.0420.045

24.02-0.0330.044

24.04-0.0360.046

24.06-0.0410.05

24.08-0.0460.054

24.1-0.0440.055

24.12-0.0410.055

24.14-0.0410.05

24.16-0.0370.046

24.18-0.030.045

24.2-0.020.044

24.22-0.0140.041

24.24-0.0070.039

24.26-0.0010.039

24.280.0020.04

24.30.0010.039

24.3200.037

24.34-0.0010.037

24.36-0.0080.036

24.38-0.020.037

24.4-0.030.038

24.42-0.0320.039

24.44-0.0350.041

24.46-0.0450.04

24.48-0.0570.039

24.5-0.0630.037

24.52-0.0730.036

24.54-0.0890.033

24.56-0.0980.028

24.58-0.0920.023

24.6-0.0840.017

24.62-0.0820.009

24.64-0.076-0.001

24.66-0.06-0.01

24.68-0.053-0.017

24.7-0.064-0.025

24.72-0.071-0.035

24.74-0.067-0.04

24.76-0.061-0.045

24.78-0.059-0.048

24.8-0.058-0.053

24.82-0.049-0.057

24.84-0.042-0.056

24.86-0.037-0.056

24.88-0.029-0.053

24.9-0.023-0.049

24.92-0.02-0.047

24.94-0.02-0.046

24.96-0.019-0.044

24.98-0.016-0.04

25-0.017-0.04

25.02-0.017-0.046

25.04-0.015-0.049

25.06-0.012-0.049

25.08-0.008-0.046

25.1-0.005-0.044

25.12-0.004-0.04

25.14-0.002-0.036

25.160.001-0.03

25.180.005-0.026

25.20.007-0.025

25.220.005-0.032

25.240.005-0.039

25.260.006-0.043

25.280.01-0.046

25.30.01-0.053

25.320.007-0.058

25.340.001-0.058

25.36-0.002-0.056

25.38-0.005-0.055

25.4-0.003-0.058

25.42-0.005-0.06

25.44-0.004-0.061

25.46-0.002-0.069

25.480.003-0.082

25.50.005-0.094

25.520.002-0.099

25.540.001-0.099

25.560.002-0.104

25.580.004-0.106

25.60.007-0.106

25.620.006-0.103

25.640.005-0.101

25.660-0.101

25.68-0.006-0.104

25.7-0.01-0.104

25.72-0.018-0.1

25.74-0.027-0.093

25.76-0.03-0.088

25.78-0.027-0.081

25.8-0.024-0.075

25.82-0.021-0.066

25.84-0.015-0.056

25.86-0.011-0.049

25.88-0.011-0.048

25.9-0.015-0.048

25.92-0.017-0.039

25.94-0.017-0.023

25.96-0.012-0.013

25.98-0.004-0.011

260.0010.002

26.020.0020.003

26.040.0020.003

26.060.003-0.016

26.080.003-0.025

26.1-0.004-0.026

26.12-0.007-0.026

26.14-0.01-0.017

26.16-0.006-0.008

26.18-0.0060.001

26.2-0.0050.009

26.22-0.0010.01

26.2400.01

26.26-0.0030.007

26.28-0.007-0.004

26.3-0.006-0.008

26.320-0.012

26.340.005-0.006

26.360.008-0.008

26.380.011-0.013

26.40.012-0.011

26.420.012-0.005

26.440.015-0.001

26.460.0190

26.480.0220.005

26.50.0230.014

26.520.0240.021

26.540.0290.023

26.560.0320.027

26.580.0330.028

26.60.0340.029

26.620.0340.028

26.640.030.029

26.660.0290.031

26.680.0280.029

26.70.0280.025

26.720.0270.024

26.740.0250.025

26.760.0230.027

26.780.0230.027

26.80.0240.031

26.820.0260.033

26.840.0240.032

26.860.0230.033

26.880.0230.034

26.90.0220.033

26.920.0220.03

26.940.0240.031

26.960.0260.036

26.980.0250.039

270.0240.038

27.020.0230.037

27.040.020.034

27.060.0170.034

27.080.0150.032

27.10.0150.031

27.120.0110.029

27.140.0090.027

27.160.0080.027

27.180.0080.027

27.20.0080.024

27.220.0030.02

27.2400.019

27.26-0.0020.026

27.28-0.0030.026

27.3-0.0060.024

27.32-0.0110.019

27.34-0.0160.021

27.36-0.020.022

27.38-0.0210.026

27.4-0.020.026

27.42-0.0190.026

27.44-0.0180.026

27.46-0.0150.035

27.48-0.0130.039

27.5-0.0110.042

27.52-0.0090.036

27.54-0.0010.033

27.560.0080.032

27.580.0180.033

27.60.0250.035

27.620.0320.041

27.640.0360.047

27.660.0380.047

27.680.0380.047

27.70.0340.046

27.720.0340.048

27.740.0360.047

27.760.0390.048

27.780.0380.047

27.80.0360.042

27.820.0380.037

27.840.0360.036

27.860.0340.034

27.880.0330.036

27.90.0310.039

27.920.0310.04

27.940.0290.039

27.960.0270.038

27.980.0290.042

280.0270.043

28.020.0280.042

28.040.0280.038

28.060.0320.033

28.080.0330.031

28.10.0320.033

28.120.0310.034

28.140.0320.029

28.160.0350.02

28.180.0320.011

28.20.0290.006

28.220.0270.002

28.240.0270

28.260.0280.002

28.280.030.006

28.30.0320.013

28.320.0350.016

28.340.0370.018

28.360.0410.017

28.380.0410.012

28.40.0440.012

28.420.0460.012

28.440.0460.013

28.460.0480.015

28.480.050.014

28.50.0490.017

28.520.0450.017

28.540.040.019

28.560.0380.02

28.580.0320.017

28.60.030.015

28.620.0320.01

28.640.0340.002

28.660.036-0.003

28.6