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SEISM 1 CODE: ADAPTATIONS FOR USE IN THE WESTERN U.S. Prepared for Nuclear Regulatory Commission Contract NRC-02-88-005 Prepared by Renner B. Hofmann Joseph H. Bangs Center for Nuclear Waste Regulatory Analyses San Antonio, Texas May 1993

SEISM 1 Code: Adaptations for Use in the Western U.S. · 2012-11-19 · SEISM 1 CODE: ADAPTATIONS FOR USE IN THE WESTERN U.S. Prepared for Nuclear Regulatory Commission Contract NRC-02-88-005

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Page 1: SEISM 1 Code: Adaptations for Use in the Western U.S. · 2012-11-19 · SEISM 1 CODE: ADAPTATIONS FOR USE IN THE WESTERN U.S. Prepared for Nuclear Regulatory Commission Contract NRC-02-88-005

SEISM 1 CODE: ADAPTATIONS FOR USEIN THE WESTERN U.S.

Prepared for

Nuclear Regulatory CommissionContract NRC-02-88-005

Prepared by

Renner B. HofmannJoseph H. Bangs

Center for Nuclear Waste Regulatory AnalysesSan Antonio, Texas

May 1993

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A

ABSTRACT

Modifications to the SEISM 1 code are described. The modifications permit the code to be compiled onCNWRA's SUN systems and to be applied to western U.S. sites. Several earthquake vibratorygroundmotion acceleration attenuation functions, that are suitable for use in the western U.S., have beenidentified that may be accessed by using a proper input file of coefficients when making code calculations.To permit analysis of western U. S. sites, the digital map for the eastern U.S. has been replaced by acomplete conterminous U.S. map. Comparison of calculated strong motion accelerations withaccelerations recorded during the M=5.6 Little Skull Mountain earthquake of June 29, 1992 verify theirapplicability and provide a limited basis for uncertainty estimates. This earthquake is the first of itsmagnitude to be recorded near the proposed Yucca Mountain repository site which is 20 miles from theepicenter. A relatively simple relationship between fault offset and earthquake magnitude permitsestimation of probabilistic fault displacement for a specified fault or set of faults within a specified area.Paleo-fault-displacement data may also be used to extend the historical record of seismicity or fault-displacement to time spans more appropriate for an HLW repository. The revised SEISM 1 codeprovides a tool for assessment of seismic and faulting hazards consequent to new seismic or tectonicmodels that may be proposed for the repository site, or to new data that may be developed during DOE'sinvestigations.

ii

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CONTENTS

Section

1 INTRODUCTION/SUMMARY ..........................1.1 PURPOSE .......................................1.2 BACKGROUND ...................................1.3 SCOPE OF THIS REPORT .............................

2 CODE CHANGES FOR OPERATION ON CNWRA SUN SYSTEMS . .2.1 MAKEFILE CHANGES ...............................2.2 EXECUTIVE ROUTINE MODIFICATIONS ..................2.3 IMPLEMENTATION OF POSTSCRIPT GRAPHICS PRINTING

Page

1-11-11-11-2

2-12-12-22-4

33.13.23.2.13.2.23.2.3

CODE CHANGES TO ADAPT TO THE WESTERN U.S. ......INCORPORATION OF A COMPLETE DIGITAL CONTERMINOUSADDITION OF WESTERN U.S. ATTENUATION FUNCTIONS . .Selection of Attenuation Functions .......................Old Code/New Code ...............................Input Files .....................................

. . . . . . . . .U .S. MAP .3-13-13-33-43-53-5

4 COMPARISON WITH THE JUNE 29, 1992 M=5.6 LITTLESKULL MOUNTAIN EARTHQUAKE ACCELERATIONS .................. 4-1

4.1 Campbell Attenuation Functions ......... .......................... 4-104.2 Joyner (1981) Attenuation Functions ................................ 4-114.3 Schnabel and Seed (1973) Attenuation Curves .......................... 4-144.4 Other Potential Attenuation Functions ............................... 4-14

5 CONVERSION OF MAGNITUDE TO FAULT OFFSET .................... 5-15.1 FAULT OFFSET HAZARD WITHIN A REPOSITORY: METHODOLOGY .5-1

6 CONCLUSIONS AND RECOMMENDATIONS ....................

7 REFERENCES .........................................

APPENDIX A: OLD AND NEW USMAP FILES ...................

APPENDIX B: OLD AND NEW ELTXYLG FILES ..................

APPENDIX C: PRINTOUT OF ATTENUATION FUNCTION INPUT FILES

APPENDIX D: PRINTOUT OF SEISM 1 GENERALIZED ATTENUATIONFORMULAE ..........................................

..... 6-1

.....

7-1

..... A-I

..... B-i

..... C-1

..... D-1

iii

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0

FIGURES

Figure Page

3-1 New and Old Digital U.S. Maps .3-23-2 Attenuation Function Input File Example . ............................. 3-6

4-1 Seismicity of the SW U.S. and Major Faults ........... ................. 4-34-2 Little Skull Mtn. Earthquake and Seismicity

of SW U.S. from 1978 . ..................................... 4-44-3 Strong Motion Seismograph Locations . ................................ 4-54-4 Main and Aftershock Locations .................................... 4-64-5 Fault Rupture Area Versus Magnitude . ................................ 4-84-6 Campbell's (1987) Attenuation for Sediment .4-114-7 Campbell's (1987) Attenuation for Rock .4-124-8 Joyner and Boore's (1981) Attenuation .4-144-9 Schnabel and Seed's (1973) Attenuation .4-15

5-1 Process to Convert Magnitudes to Fault Displacementfor Statistical Analysis .5-3

iv

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TABLES

Number Page

4-1 Little Skull Mountain Earthquake Peak Accelerations (Lum and Honda, 1993) ... .... 4-24-2 Predicted and Observed Accelerations ................................ 4-9

v

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PREFACE

This report is in fulfillment of Geologic Setting (GS) Element Subtask 3.1 of Task 3: Analysis Codes andMethods in CNWRA FY93-94 Operations Plans Rev 2 Chg 0, Intermediate Milestone 003320-006,SEISM Code Update. Opinions expressed are intended to apply only to the application of probabilisticseismic hazard analysis (PSHA) codes to a high-level nuclear waste (HLW) repository.

ACKNOWLEDGMENTS

This report was prepared to document work performed by the Center for Nuclear Waste RegulatoryAnalyses (CNWRA) for the U.S. Nuclear Regulatory Commission under Contract No. NRC-02-88-005.The activities reported here were performed on behalf of the NRC Office of Nuclear Material Safety andSafeguards, Division of High-Level Waste Management. The report is an independent product of theCNWRA and does not necessarily reflect the views or regulatory position of the NRC. The authors wishto acknowledge Drs. Wesley Patrick, Lawrence McKague, Gerry L. Stirewalt and Kenneth D. Mahrerwho reviewed and commented on the report draft. Also acknowledged is the initiation of these effortsby Dr. Philip Justus of the NRC and the continued interest and guidance provided by Drs. KeithMcConnell and Abou-Bakr Ibrahim of NRC/NMSS during the course of the work.

vi

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1 INTRODUCTION/SUMMARY

1.1 PURPOSE

SEISM 1, a probabilistic seismic hazard analysis (PSHA) computer code for the eastern U.S., has beenmodified to be applicable to western U.S. sites. This will permit hazard analysis at Yucca Mountainwhen new data become available or new tectonic models are proposed. Several code changes were made:

* SEISM 1 was adapted to the SUN SPARCstation2, ipa and ipx computers,* An internal digital map was enlarged to include the conterminous U.S.,* PostScript printing was enabled to permit use of a wider range of output devices,* Seismic attenuations functions for the western U.S were incorporated,* These functions were verified for use at Yucca Mountain,* A method was developed to extend hazard analysis to faulting.

Coding changes have been completed for the first three items. Several attenuation functions have beenselected and input files devised to use them. However, SEISM 1 uses expert opinions. Therefore, a widerange of attenuation functions may be requested by a group of experts. Experience in developing inputfiles for the chosen attenuation functions will hasten the introduction of other functions at the time theyare needed. A magnitude 5.6 earthquake 20 miles from Yucca Mountain was well recorded by strongmotion instruments during the period of the code change efforts. Therefore, the chosen attenuationfunctions could be and were checked against these records. The comparison verified that the chosenfunctions predicted accelerations at Yucca Mountain with reasonable accuracy. A method was devisedto extend use of SEISM 1 to the analysis of faulting hazards by using seismic moment formulae and therelationship of moment to magnitude. Currently the method is an adjunct to SEISM 1 and is not a partof its coding. Changed portions of the code have been verified as functional but a test of the entire code,as revised, has not been performed. That is the subject of another report scheduled for this fiscal year.

1.2 BACKGROUND

Probabilistic methods for determining the likelihood of fault displacements or levels of design vibratoryground motion are of interest because current criteria for regulating a high level nuclear waste repository(HLW) ultimately depend upon the probability of radionuclide releases. Therefore, the probability ofevents which may disrupt a repository are needed as input to calculate potential performance degradationand release consequences. Aside from this aspect of regulation, however, many aspects of earthquakesand fault movement are inadequately known, are contentious, or are interpreted differently by credibleexperts. Probalistic Fault Displacement and Seismic Hazard Analysis (PFD&SHA) calculationalmethodologies incorporate disparate expert opinions and treat them in a probabilistic manner such thattheir divergence is quantified as an aggregated hazard (e.g. see Bernreuter et al., 1989 and EPRI, 1988).

An expert-opinion based methodology is desirable because of the:

* Short period of historic seismicity which severely limits data for analysis* Large uncertainties associated with age dating of prehistoric faulting* Long time period of performance concern for a high level repository

1-1

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Two PSHA methodologies were independently developed at LLNL and by EPRI (the computer codesSEISM 1 and EQHAZARD respectively) in response to concerns that the 1886 Charleston South Carolinaearthquake could not be assigned to a fault and might occur anywhere in the eastern U.S. with someprobability. The EPRI effort was for a consortium of nuclear power plant owners, the Seismic OwnersGroup (SOG). Both programs have been used to evaluate sites in the eastern U.S. DOE has providedfunds to develop versions of the program which may be used for sites in the western U.S. The LLNLversion is SEISM 2 but remains as DOE's proprietary code and is unavailable to others. Thesemethodologies have not been applied to the determination of fault displacements, although single-expertprobabilistic methods have been employed (e.g., Sommerville et al., 1987).

Nuclear power plants have much shorter nominal life spans than an HLW repository. CNWRA taskshave been to determine the basis in current regulations, for performing probabilistic analysis and to planmodifications to SEISM 1 so that it may be applied in the western U.S. and to fault displacements ofconcern in the licensing of an HLW repository. A workplan and a series of seven reports (Hofmann;1991 and 1992a-f) document work to date. This report is the eighth in the series. A test operation ofthe SEISM 1 code will be documented in a future report this fiscal year. Lawrence Livermore NationalLaboratory (LLNL) developed SEISM 1 under the auspices of NRC's Office of Nuclear ReactorRegulation (NRR). The code was specifically developed to evaluate probabilistic seismic risk for nuclearplants in the central and eastern U.S. An LLNL revision of the code for NRR, SEISM 3, is in progressbut was not available during the SEISM 1 updating effort. Observed data and expert opinions are inputto the code.

SEISM 1 accepts eastern U.S. strong-motion-attenuation functions preferred by individual experts.Probability distribution functions may be estimated where data are inadequate to unambiguously definethem. Expert self assessments of uncertainty in their estimated input parameters and resulting hazardsare aggregated to provide a final hazard curve. These capabilities are unchanged.

1.3 SCOPE OF TilS REPORT

Code changes to implement plans to modify the SEISM 1 code are documented in detail. Fortuitouslythe Little Skull Mountain M=5.6 earthquake occurred 20 miles from the proposed Yucca Mountainrepository site on June 29, 1992. Attenuation functions which extend SEISM l's capability for westernU.S. analyses were checked against its recorded strong motion accelerations. Results confirm that thefunctions are generally appropriate.

1-2

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2 CODE CHANGES FOR OPERATION ON CNWRA SUNSYSTEMS

This section describes an initial set of modifications made to the SEISM 1 program to facilitate itsoperation on CNWRA SUN SPARCstation 2, ipx and ipc work stations, and to generate hardcopy plotsof the graphical output generated by the program. Five program modules are sequentially executedduring a SEISM 1 computation: SHC, PRDS, COMAP, ALEAS and COMB. The functions of thesemodules are described in the SHC Code Users Manual (Davis, 1991) and are summarized in Hofmann(1991 and 1992b). SHC Code was the LLNL developmental name for SEISM 1. Required changes tomodules are documented in the following sections.

File names are sometimes acronyms for longer descriptions but not all have a simple description relatedto an acronym. If a longer file description is documented it is described. Some documentation is inDavis (1991) and some is obtained from comment lines in the code.

The architecture of the SEISM 1 code is in three levels. The first level is the executive routine whichorganizes or directs data flow between modules. However, other modules may also share in first levelresponsibilities. An example is the module ALEAS. Calculations may be performed in a module, thesecond level, but it will always contain instructions for routing data from or to other modules and fromor to subprograms (also called subroutines), the third level, within the module.

Source code for both modules and subroutines are usually files that end with a ".f". The I" indicatesthat the source code is FORTRAN. A file that ends in ".c" is a C code source file. After the programis compiled, the machine language versions of these files end with a ".e". The "e" means the file isexecutable. These files often cannot be directed to a screen or printer without using an interpretiveroutine and special "drivers". Drivers are parts of computer code that interpret (convert) machinegenerated information and create an output that can be understood by another device (for example aparticular computer screen, printer or plotter) or program. Drivers are a part of the coding in subroutinesand are often not otherwise identified. A fourth kind of file is a data file. These files are usually createdby a subroutine or a module for use by another module. Data files in a large code usually do not havean ending with a dot ".". They are not always documented. The passing of information via files inSEISM 1 is described in Davis (1991) and is summarized in Hofmann (1992b).

2.1 MAKEFILE CHANGES

A makefile contains instructions to the computer regarding which source code files in a directoryshould be converted to machine language executable files. The makefile may also contain otherinstructions concerning the conversion of higher level source code, e.g., FORTRAN, to machine languageexecutable code. The NRC SUN system accepts abbreviated makefiles that the CNWRA SUN systemswill not except. Consequently, the makefile instructions are different but perform the same tasks on bothmachines. The following sections describe specific changes to makefiles for each of the affected modules.

2-1

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Makefile changes were required for the modules ALEAS and COMB.

ALEAS makefile

ALEAS is the module of the code in which hazard computations are made. ALEAS is not anacronym. It is French for "risk" or "hazard". A code module is a separate program whoseinput may be entirely from the output of another module or which may obtain its input fromkeyboard entries by the user.

Line 12 of the ALEAS module makefile was altered as follows:

old: f77 -g -libmil -o aleas $(OB) $(OBJ2) $(OBJ3) $(OBJ4) $(OBJ5) $(OBJ6) $(OBJ7) crayfl.o$(LIB) -Isunwindow -isuntool -Ipixrect

new: same as above with ' -IXIi', added after '-Ipixrect'

COMB makefile

COMB is an acronym for "combine". This module of the code combines hazard results fromseveral experts who have chosen various source regions and attenuation functions to make theirpreferred calculations.

old: #!/bin/cshf77 -O -libmil -o comb comb.f [tv80lib.a,diglib.a} -Isunwindow -1suntool -Ipixrect -lXi I

new: FFLAGS = -g -c -libmilOB = comb.oLIB = imsl.a tv8Olib.a digilib.acomb: $(OB)

f77 -g -libmil -o comb $(OB) $(LIB) -Isunwindow -lsuntool -Ipixrect -lX11comb.o : comb.f

f77 $(FFLAGS) comb.f

2.2 EXECUTIVE ROUTINE MODIFICATIONS

The following changes are required to correctly identify the directories and subdirectories inwhich the files reside on the particular machine that makes the calculations. These will usually differ foreach machine and possibly for each user of the code. The example changes provide a template for similarchanges that will be required should the code be used on other computers. The examples given here arefor Joseph Bangs who copied the code to his directory on a SUN hard drive to make the requiredchanges. Because the path name for files on a computer/storage device or for a particular user will differfrom that in the NRC SUN, changes will be required in several routines to properly address SEISM 1files and subroutines.

The executive routine is the SHC module. SHC is an acronym for "seismic hazard codes".The principal function of this routine is to instruct the various modules or separate subprograms of

2-2

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SEISM 1 where to direct their output, e.g. to another module or to an output file, and from where toobtain their input.

The following code changes implement the path names on the CNWRA SUN SPARCstation 2.Changes are required that are likely to differ for each computer system on which SEISM 1 is installed.The subroutine in which path name changes are required is identified, followed by the line number in thesubroutine, and the new and old path names.

bdir.f

A longer description of the file bdir.f was not found.

Line 18.

old: data bname /'/datalhazard/results/'/

new: data bname /'/u2lbangslhazard/results/'/

initial.f

A longer description of the file initial.f was not found. This subroutine accesses initial datafiles required as input to various routines.

Lines 17 through 20 were altered as follows:

old: data exedir /'/usr/codes/hazard'/data datadir /'/data/hazard/datadir'/data prdsdir /'/data/hazard/prdsdir'/data comapdir /'/data/hazard/comapdir'/

new: data exedir /'/u2lbangs/hazcodes'/data datadir /'/u2/bangs/hazard/datadir'/data prdsdir /'/u2/bangs/hazard/prdsdir'/data comapdir /'/u2/bangs/hazard/comapdir'/

nsitecor.f

The acronym sitecor represents "site correction". The "n" represents "no". The file nameindicates that that no site correction is used in the base case, according to code comment lines.

Lines 24 and 25 were altered as follows:

old: data site /'/data/hazard/datadir/sitecor'/data psite /'/data/hazard/datadir/psitecor'/

2-3

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0 0

new: data site /'/u2/bangs/hazardldatadir/sitecor'/data psite /'/u2lbangs/hazard/datadir/psitecor'/

rsitecor.f

The "r" represents "single". The file name indicates that there is a single site correction to thebase case, according to code comment lines.

Line 18 was altered as follows:

old: data fname / '/data/hazard/datadir/psitecor'/

new: data fname / '/u2lbangs/hazard/datadir/psitecor'/

selsite.f

This acronym means "select a site to analyze".

Lines 31 through 33 were altered as follows:

old: data sitesid /'/datalhazard/datadir/sitesid'/data prudeid /'/datalhazard/datadir/psitesid'/data sitecor /'/datalhazard/datadir/sitecor'/

new: data sitesid /'/u2/bangs/hazard/datadir/sitesid'/data prudeid /'/u2/bangs/hazard/datadir/psitesid'/data sitecor /'/u2lbangs/hazard/datadir/sitecor'/

shc.f

"shc" is an abbreviation for "seismic hazard characterization.

Line 35 was altered as follows:

old: data cname /'/datalhazard/comapdir/'/

new: data cname /'/u2/bangs/hazard/comapdir/'/

2.3 IMPLEMENTATION OF POSTSCRIPT GRAPIUCS PRINTING

A device driver number in the subroutine plotter.f was changed to activate a PostScript outputfile generator in the plotting subroutines for the ALEAS and COMB modules. The subroutine iscontained in both modules. The plotter subroutine in COMB is named comff.

Line 61 in the plotter.f subroutine was modified.

old: dev=4

24

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0 ~~0

new: dev=2

Line 694 in the comf.f subroutine was modified.

No long description of the file "com.f" was found.

old: dev=4

new: dev=2

2-5

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3 CODE CHANGES TO ADAPT TO THE WESTERN U.S.

A digital map containing the western U.S. and the addition of appropriate attenuation functions arerequired to enable seismic risk computations for the Yucca Mountain area.

3.1 INCORPORATION OF A COMPLETE DIGITAL CONTERMINOUS U.S.MAP

The original version of SEISM 1 was designed for use on eastern U.S. sites. The programprovides the facility for plotting a base map of the eastern U.S. with seismic expert's zonations optionallyoverlaid on the base map. Map display capabilities of SEISM 1 were extended by incorporating thepolitical boundaries of the western U.S. in the base map database. Adding this capability to SEISM 1required modification of two data files and one source code file. The data files: USMAP and ELTXYLGcontain the coordinate and map projection grid, respectively. The source code file PRDS.F was modifiedto process the new versions of USMAP and ELTXYLG.

USMAP

The USMAP file stores longitude-latitude coordinates for the United States boundary. Itoriginally contained the boundary data for points east of longitude 1100. A newer, more detailed dataset was obtained from an Internet geography database located at the Internet address 192.70.225.78. Thisnew data set was formatted to match the required input format for the PRDS program and then definedas the new USMAP data file. New and old USMAP files are in Appendix A of this report.

ELTXYLG

The ELTXYLG file contains a Lambert Conformal projection grid on 2 degree grid centers.No long description of this file was found. It is likely that LT means latitude and LG means longitude.The letter "E" may mean "exchange". This file is used as a lookup table for converting longitude-latitudepairs into X-Y coordinate pairs. The projection parameters used in creating the original ELTXYLG gridare not available, therefore the new ELTXYLG lookup table that includes the western U.S. was generatedusing parameters that yield a very similar but not identical projection of the U.S. map. The difference,however, is not important because this projection is used only for displaying the map. It is not used incalculations performed by other SEISM 1 routines. Figure 3-1 overlays the old eastern U.S. Map andsource zones for expert No. 1, which are included in the SEISM 1 test example, on the new map. Thenew ELTXYLG file was expanded to include the grid nodes for the western U.S. and was formatted tobe consistent with the original ELTXYLG file. The program Generic Mapping was used to make themap projection conversion table in ELTXYLG. New and Old versions of the ELTXYLG file are inAppendix B of this report.

PRDS

The only significant modifications to PRDS (probability of distance from the source) includedmodifying DO LOOP statements to read the additional file records associated with the Western U.S. data.An error checking statement was also changed to extend the valid longitude range from 110 to 130(west). The PRDS source code was recompiled and executed successfully. The PRDS program will

3-1

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8 i.I~~~~~~~~~~

6 8 10 12 14 16 18 20

Figure 3-1. New and Old Digital U.S. Maps

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* 0

now generate a base map of the conterminous U.S. with the seismic expert zonations plotted as mapoverlays.

Line Number: 20

old: common /Inltxy/ xlg(457),ylg(457),xmap(4,457),ymap(4,457)

new: common /Inltxy/ xlg(614),ylg(614),xmap(4,614),ymap(4,614)

Line Number: 191

old: & (xlg(i),ylg(i),(xmapj,i),ymapG,i),j= 1,4),i= 1,457))

new: & (xlg(i),ylg(i),(xmapj,i),ymapj ,i),j = 1,4),i = 1,614))

Line Number: 361

old: do 165 iuss = 1,1475

new: do 165 iuss = 1,3042

Line Number: 1216

old: common /Inltxy/ xlg(457),ylg(457),xmap(4,457),ymap(4,457)

new: common /Inltxy/ xlg(614),ylg(614),xmap(4,614),ymap(4,614)

Line Number: 1233

old: do 100 i = 1,456

new: do 100 i = 1,614

3.2 ADDITION OF WESTERN U.S. ATTENUATION FUNCTIONS

Several acceleration attenuation functions developed from western U.S. data were consideredfor implementation in the SEISM 1 code. These functions were thought to be likely selections by expertswho might be elicited for future analyses of the Yucca Mountain, Nevada area. The initial computationsby LLNL described in Bernreuter et al. (1984) for the eastern U.S. also contained several attenuationfunctions anticipated to be selected by experts. However, later analyses with the SEISM 1 code for theeastern U.S. (e.g., Bernreuter et al., 1989a and b) used a quite different selection of attenuationfunctions. We anticipate that should expert elicitation in a formal sense be applied to the Yucca Mountainarea, it is likely that a similar circumstance may develop. Development of rationale for choosingattenuation functions and the exercise of accessing them with SEISM 1, provides insight into the problemsthat are addressed by experts during elicitation. This experience should greatly ease the installation ofother attenuation functions that might be desired in the future and will provide a basis for building a user

3-3

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0 0

interface for SEISM codes that will simplify selection of attenuation functions for sensitivity studies andother computations.

3.2.1 Selection of Attenuation Functions

Discussions concerning selection of attenuation functions for the Yucca Mountain area are givenin Hofmann (1991 and 1992b), Sommerville et al. (1987) and Rogers et al. (1977). Sommerville et al.(1987) use the attenuation functions of Campbell (1980 and 1982). Campbell's (1980) report is notpublicly available. Rogers et al. (1977) use Schnabel and Seed's (1973) attenuation curves. Proposalsfor the use of so-called stochastic methods which might be applied to the Yucca Mountain area are inToro et al. (1992) and McGuire (1990). Two empirically derived functions were chosen forconsideration, Campbell (1987) for Utah and Joyner and Boore (1981) for the western U.S. Campbell(1987) used mostly California data and included many earthquakes with strike slip faulting sources. Alsoincluded, were data from larger thrust fault source earthquakes which helped control attenuation withdistance. Joyner and Boore (1981) used largely thrust fault earthquakes in their compilation because largeamounts of strong motion data were available from these events. Updates have been made to both Joynerand Boore's (1981 and Campbell's (1987) curves. Joyner and Boore's (1981) curves have remainedessentially the same with the addition of new data.

Campbell (1993) proposes changes to apply to soft rock and for thrust fault earthquake sources.Comparisons of strong motion from the recent Little Skull Mountain earthquake indicate that theCampbell (1987) and Joyner and Boore (1981) attenuation functions predicted within their estimated errorbounds.

Campbell (1987) argues that the inclusion of thrust fault earthquakes does not diminish theapplicability of his functions to the largely normal fault sources in the Basin and Range, because vibratoryground motion is used to establish both earthquake magnitudes and vibratory-ground-motion-attenuationcurves. Therefore the less energetic sources, anticipated for the Basin and Range tectonic province, doesnot influence the curves. This point is well taken except for establishing the equivalence of paleo-faultoffsets with magnitudes to extend the seismic record for facilities with a long period of performanceconcern. Consideration of the potential effect of stress drop in stochastic methods provides a relationshipbetween fault slip area, magnitude and fault source type.

Distance to an earthquake source has been defined in different ways by authors of the variousattenuation functions. Usually it is defined as the distance to the surface projection of the fault slip area.Campbell defines it as the distance to the fault slip area. Therefore if fault slip does not reach the surfaceas evidenced by aftershocks, distance in the near-field of shaking would be greater than to the surfaceprojection of the fault slip area. Where earthquake sources are identified as broad zones, these definitionscannot be effectively employed and are, for practical purposes, really defined as epicentral distances.Schnabel and Seed (1973) define distance to be to the surface projection of fault rupture. Their data,however, are largely recorded further away than a fault dimension. A these distances there is littledifference between epicentral and fault-slip-area distances to a site.

3.2.2 Old Code/New Code

New code was not required to use the empirical Campbell and Joiner and Boore accelerationattenuation functions with the updated SEISM 1 code. The general form and FORTRAN coding for the

34

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equations are already in the code or is available in the literature, e.g. Bernreuter et al., (1989). Newinput data forms are required to make the coefficients and exponents of the general-form equation equalto those of the specific empirical functions to be used. The Schnabel and Seed (1973) curves are notreadily put in equation form. Separate coefficients and exponents must be developed for each magnitudeand interpolation between curves used for fractional magnitudes. An alternative is a table look-upscheme. These curves are not implemented in the code at this time but the level of effort to do so is notgreat. Implementation is anticipated as a possible future effort. Currently, most seismic risk near YuccaMountain is anticipated to be from specific faults where the fault rupture geometry can be estimated priorto earthquake occurrence, although with significant uncertainty.

3.2.3 Input Files

An example of the input data file to be modified to include other attenuation curves, e.g. thoseof Joyner and Boore (1981), is in Figure 3-2. A maximum of eight coefficients is permitted. Someequations use less than eight. If the model equation has fewer than eight coefficients, only the propernumber of fields in the example input file at the top of figure 3-2 will be read by SEISM 1. The equationnumber must be specified as well as the coefficients. The example equation is the most general andappears applicable to a wide range of relatively simple empirical attenuation curves. The SEISM 1,example problem Attenuation Input File is in Appendix C.

Campbell's 1987 acceleration-attenuation curves for Utah are implemented in SEISM 1 withoutcoding changes. There are two differences in the Campbell curves that distinguish it from most others:

* Distance is defined as the closest distance to the fault rupture area.* Predicted accelerations are the average of peaks of the two horizontal components.

These variables are defined, for most other attenuation functions, as follows:

* Distance is the closest distance to causative fault or to the surface projection of the rupturearea.

* Predicted acceleration is the highest peak acceleration of the two horizontal components.

The coefficients and exponents for Utah can be substituted for the eastern U.S. coefficients inModel 4 / equation D13 in SEISM 1. This equation with eastern U.S. coefficients is found on page Q10-89 of volume 7 of Bernreuter et al. (1989). The D model equation is on page Q6-155 of the samepublication:

LOG(acc) = DI + D2M + D3R + D4LOG[R + D5(D6M + D7)

where Di are coefficients, M is magnitude and R is the closest distance to the fault rupture area.

This equation will model Campbell's unconstrained curves for all but very deep sediment filledbasins. For his constrained curves, the D7 coefficient is an added separate term and not within theexponent of the last term in equation (3-2). Resulting curves will apply in the free field, not in thebasements of tall buildings. Campbell's curves for soil greater than 10 meters thick would be expectedto attenuate high frequencies more than for a rock site. Campbell has an extra term designed to roughlycompensate for the changes in base-input spectrum for tall buildings. In effect, the "embedment" term

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Number assigned to theground mootio expeenwho chose the attenuationfunction (theme may be moreone expen here)

A1TN(9)Distance in kmbelow whichground motiondoes not decrease

ATTN(10)Flag forL. 999

mcatIs acc.Line I header Me

Line 2 ArlN(l-8)acceleration attenuation -

function coefficients

Line 3 ATTN(lI-18)velocity attenuationfunction coefficients

del No.SHA rui

21

forra

Title of attenuationfunction

I

ATtN(19) 1jil1xnumber fot diegeneral attenuati nfunctiun lurnitla

I

I . I. 0. 0

ATllN(20)used onlyfur spectra

.0

.0

1 '- -N I

EQUATIt7N *** A3 - G41 *** X221 00 .0 .550

.0 .0 .0

I I1 5. 0 999. 0

.320 -. 00035 -1.050.0 .0 .0

(Note: Only line 2 or Line 3 will be used, depending on whetier tie attenuation function is foracceleration or for velocity. See the exception in tie text when ATTN(20) is used.

0General formula for an index of I in AlTN(19) above:

Log (acc) - Al + A2 mb +A3 ML + A4 1. + A5 R + A6 log R + A7 mt) R + As

Where A, to A, are in the 8 fields of Line 2 in tie example Model 21 above.

Code, in file ATTN of the routine ALEAS of SEISM 1; for the above formula.

CCCC

MODEL A (MODEL INDEX = 1)

LOGIACC) = Al * A2*M8 + A3*ML * A4*10 * AS*R * A6*LOG(R) +A7*MB*R * A8

FUNCTION AMODEL (XM.XIR.ALR.ATTN.L)DIMENSION ATTN(I)AMODEL = ATTN(I*L) * XM*(ATTN(2+L)+ATTN(S+L)) + XI*ATTN(4*L) )

* R*ATTN(S+L) + ATTN(6+L)*ALR 4 ATTN(7+L)*XM*R + ATTN(8+L)RETURNEND

Figure 3-2. Attenuation Function Input File Example

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compensates for soil-structure-interaction and has little to do with the effects of earthquake source depth.The additional term is not recommended for application at Yucca Mountain unless very tall structures areemployed during the preclosure period. The term is not included here or in Bernreuter (1989).

Campbell produced two curves. They are referred to as unconstrained and constrained. Theconstrained curve has a term which contains the variable y, attenuation which improves predictions forlocations a distances larger than 50km. He advises the use of 0.0059 which is very close to theCalifornia value of 0.006 reported in the literature, e.g., Joyner and Boore (1981). Several recentpublications suggest that attenuation in the Basin and Range tectonic province is similar to that inCalifornia, although older publications reported otherwise. See Hofmann (1992a) for a discussion of thisliterature. When Campbell (1987) included the attenuation term in the equation, he redetermined othercoefficients from his data. Campbell states that the resulting curves apply well for distances to 200 km.There is a slight reduction in peak accelerations in the very near field as a consequence.

Although Campbell used a large number of strike-slip source earthquakes, there is also asignificant amount of strong motion data from reverse or thrust earthquakes in his data set. One of these,the 1971 San Fernando earthquake, has many recordings and contributes significantly to how the curvesattenuate with distance for all magnitudes. Accelerations in the near field are likely to be higher for athrust earthquake than for dip-slip or strike-slip sources according to McGarr (1984). Therefore, theslight reduction in peak accelerations in the near field, caused by using the constrained equation, appearsacceptable. For large earthquakes (e.g. M > 7), it is preferable to use the unconstrained curve whichis conservative only to about a 50 km distance. For smaller earthquakes (e.g. M < 6), the unconstrainedcurve may be preferable because accelerations of engineering significance do not occur beyond 50 km.Because of the inclusion of some reverse and thrust earthquakes, these attenuation curves are expectedto be conservative for the Basin and Range tectonic province. Reductions of acceleration at proposedrepository depths are not addressed by these curves. Proposals for such reductions have been published,e.g., by Seed and Idriss (1969). A crude rule is that the effect of the free surface (about a two-foldamplification) diminishes with depth to zero over about one wavelength. Therefore, if the velocity andfrequency of seismic waves are known, strong motion observed on the surface will be less by one halfat a determinable depth. This analysis assumes that the strong motion is in the elastic range for sitemedia, a sometimes contentious assumption.

Earthquake sources in the Basin and Range tectonic province are usually centered less than 15kilometers deep, e.g., Rogers et al., (1987). Therefore, because of the reduced distance and consequentreduced attenuation, accelerations may be higher at depth than at the surface for faults that are adjacentto or intersect a mine. This observation is based, in part, on McGarr's (1984) observations at SouthAfrican mines and the theories used to explain them. Both this effect and the free surface effect shouldbe expected to occur and perhaps to compensate for each other in some circumstances.

Investigations of low amplitude teleseismically recorded waves in deep bores suggest zones ofincreasing and decreasing amplitude with depth. These variations are attributed to waves traveling alonginterfaces between rock layers with differing acoustic impedances (Douze, 1964).

In the regulation of nuclear facilities important to safety, it is better to err conservatively.Therefore, unless evidence to the contrary can be developed, attenuation curves based on surface strongmotion recordings should be applied at depth if the repository site is in the near field of a potentiallyseismogenic fault. For a probabilistic analysis, both expert opinions discussed above, could be used.Such a procedure would increase uncertainty. Consequently, this process would be expected to average

3-7

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to little difference in peak attenuation. Campbell's constrained (1987) formula to be used for Utah orthe Basin and Range tectonic province, would be:

In a = -3.303 + 0.850M - 1.251n[R + 0.0 872 0Q678M] - 0.0059R (3-2)

where "a" is acceleration in g's, M is ML for magnitudes less than 6.5 and Ms for larger magnitudes,and "R" is distance in kilometers.

The eastern U.S. coefficients for Model 4 / equation D1I equation (3-1), are (Bernreuter etal., 1989):

2.6 .777 .7697 .012 .898 0.0 -.0027

The format of the coefficients and exponents in the input form are illustrated in Figure 3-2.

The entry 0.0 in these coefficients means that there is no distance at which accelerations cannotincrease as the source is approached. However, there is a view that accelerations higher than those whichhave been recorded, should not be predicted on the basis of theory or extrapolations. Consequently somemodels of equation D13 impose a 25 km distance for this effect in the eastern U.S.. This may reflecta particular expert's opinions that Campbell's curves should be so modified because there are few strongmotion recordings close to a source to verify the high near-field accelerations in his extrapolation. Tochange Campbell's average acceleration of two horizontal components to the more commonly used largesthorizontal acceleration, his values must be multiplied by 1.13, or In 1.13 must be added to the equation.The In 1.13 = 0.1222. This may be added to the term -3.303 in the equation for In a. This constantthen becomes -3.181.

New coefficients, for a constrained estimate of the highest horizontal observed peak accelerationon rock or sediments less than 10 m thick in Utah and which is recommended as conservative for theBasin and Range tectonic province are:

3.181 .850 1.25 .0872 .678 0.0 -.0059

or results from the original formula may be multiplied by 1.13 and the first coefficient retained as 3.303.Differences between observed and predicted accelerations are reduced, however when Campbell's originaldefinition of average peak acceleration is used with his curves.

The earlier publications did not describe random vibration (rv) models. Later references, e.g.Bernreuter et al. (1989a), page Q1O-33 of vol. 7, however do include them. The only description of howto input attenuation formulae coefficients into ALEAS is in Bernreuter et al. (1984), which does not listthe rv models. Equations and input to the rv models are not described but can be determined from theform of the code in the ATTN routine of the ALEAS module of SEISM 1 as described, e.g. in Bernreuteret al. (1989a), vol.6. page 43. Bernreuter et al. (1984) cites ten different attenuation formulae.Presumably, the current version of the code contains at least one additional attenuation formulacorresponding to the rv formula approximation listed in Bernreuter et al. (1989a), vol. 6 pg 43:

log a = Cl + C2 mb + C3 mb2 + C4 mb3 + C5 R + C6 log R (3-3)

3-8

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The coefficients for several rv models are given in Bernreuter et al. (1989a), vol. 7 in TablesM6.1 and M6.2 starting on page Q10-87. Their Table M6.3 lists rv spectra models.

Davis (1991) states that spectral models are not implemented. However, examples are givenin Bernreuter et al. (1985) for approximating the more complex rv spectral models by a series offrequencies and amplitudes.

Bernreuter et al. (1985) and Davis (1991) address how to add new acceleration and velocityattenuation models or modify them by changing their coefficients. These models are largely empiricalin nature and may contain damage intensity (MMI) or magnitude (ML, MB Mb1 etc.) data, or both kindsof data. Table B.2 of appendix B to Bernreuter et al. (1985) lists models 'A' through 'I' which have anequivalent model index number of 1 through 9. These models are general in nature. Each of them couldrepresent more than one, possibly several, published attenuation models by changing coefficients. Eachmodel has up to eight coefficients. In addition to these eight coefficients, four other terms: ATTN(9),(10), (19) and (20) are required. These are described in Bernreuter et al. (1985), page B-2 using model21, page B-4. This equation is illustrated on Figure 3-2 as an example. Coefficients of the equation arein order on the 2nd line. A title is on the first line of the 3 lines which describe the model. The fieldson the first line of input are:

ATTN(9) represents a distance below which, acceleration or velocity does not increase. Thisterm is used to prevent the formula from predicting very large or infinite values at distances ofzero.

ATTN(10) is a control for the value 'L'. L has a value of 0 or 10. If L is 0, only fields 1through 8 (those on the 2nd of 3 lines of input for each model) will be used. If L is 10, onlyfields 11 through 18 (those on the third line of the 3 line entry for each model) will be used.If L=0 and fields 1-8 are used, the formula describes an acceleration attenuation function. IfL=10 and fields 11-18 are used, the formula describes a velocity attenuation function.ATTN(10) is often arbitrarily set to 999 to indicate a value that a magnitude or Intensity cannotexceed. the 999 is used to indicate that the magnitude or intensity is not constrained. Underthis circumstance L=0.

ATTN(19) is the model index number. It tells ALEAS which attenuation function formula touse. The number 1.1 is given in the example. The integer 1, is the index. No explanationis given for the number after the decimal.

ATTN(20) is not used when the model represents an acceleration or velocity attenuationfunction. It is used only when the model is describing a Newmark-Hall spectrum. When avalue is used in this field, it represents a model index number for a velocity spectrum. Whena value is in this field, the value in the field for ATTN(19) represents the index for anacceleration model. Under these circumstances, ATTN(1-8) and ATTN(11-18) will also befilled.

As part of the model title, an X appears followed by a number, e.g. X2. This represents thenumber of an expert. Some of these examples on pages B-3 to B-16 of Bernreuter et al. (1989a) havemore than one X number following the title and sometimes other descriptors follow the X number(s).These are not explained but are descriptive and not used to make calculations by the code. The

3-9

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attenuation input file example is in Figure 3-2 of this report. Fields in the input file, the general equationand code for it, plus example-input-file coefficients are identified.

Adding attenuation functions appropriate for the Western U.S. is usually relatively simple. Ifan appropriate general formula is already in the SEISM 1 code, only its coefficients need be altered tomatch Western U.S. attenuation functions. If a general formula of similar form to a desired western U.S.attenuation equation is not in the code, a new general formula would have to be added. The random-vibration-approximation equation which resides in the code could be used with different coefficients, ifjustified, for the Western U.S. Only the 1972 Schnabel and Seed attenuation curves cannot be replicatedwith a single formula. If these empirical curves are selected by a ground motion expert, a table look-upapproach or a different curve fit function for each magnitude with interpolation between curves could beimplemented.

Some means of including a near field magnitude independent acceleration attenuation forWestern U.S. sites may be needed for magnitudes larger than about 6.5. (See Hofmann, 1992a). Thiscomponent of strong motion is a function of stress drop and distance to a breaking asperity or barrier.Its higher frequency content would require a steeper attenuation curve than the component of strongmotion caused by the average slip along the fault dislocation area. The probability of its occurrence isless than for far-field accelerations generated by the average displacement because the asperities orbarriers are smaller than the total dislocation area. The problem with peak acceleration is discussed inBernreuter et al. (1989a), vol. 7, section 4.3 (see also e.g., Hofmann, 1974 and Morrison et al., 1966).Campbell's (1987 and 1993) curves appear to accommodate this problem but without a reduction inprobability of occurrence, for magnitudes less than about 6.5. Therefore, the unconstrained Campbellcurves are conservative. His constrained curves appear conservative for all but the largest earthquakesexpected in the Basin and Range tectonic province. If more precise probabilities of high near-fieldacceleration is ultimately required, additional code modifications may be made. The modification wouldpermit making calculations for both near-asperity and far-field accelerations but with differentprobabilities. The occurrence of high near-field accelerations 20 percent of the time as recommended byHofmann (1974) should be substantiated by a study of peak accelerations recorded since 1972. The 20percent estimate was based upon a very limited data set.

3-10

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* 0

4 COMPARISON WITH THE JUNE 29, 1992 M=5.6 LITTLESKULL MOUNTAIN EARTHQUAKE ACCELERATIONS

Maps showing regional faults and epicenters from DOE (1988) are reproduced on Figures 4-1 and 4-2.Strong motion data from the M=5.6 Little Skull Mountain, Nevada earthquake of June 29, 1992 wererecently published by Lum and Honda (1993). Their sketch map of strong motion stations is reproducedon figure 4-3. The epicenter of the Little Skull Mountain Earthquake, from University of Nevada atReno (UNV/R) and USGS (1992) is added to the figures.

A summary list of peak accelerations by component and station (Table 4-1) are from Lum and Honda(1993). Descriptions of topography or instrument foundation, however were not included. Telephoneconversations with Kenneth Honda, one of the author's, and James O'Donnell of DOE at NTS, indicatedthat the three stations nearest the epicenter were on rock or on shallow sediments over rock.

Figure 4-3 is a reproduction of the Lum and Honda (1993) map of station locations excluding those inLas Vegas, Nevada. Added to the map is a sketch of the currently proposed buried Northeast strikingfault plane which was determined from fault plane solutions in UNV/R and USGS (1992). Dip is statedto be either Southeast or Northwest. Aftershocks suggest that the dip is Southeast as indicated on Figure4-3. Both long (Harvard moment tensor) and short period fault plane solutions indicated similarsolutions. Normal dip-slip movement is indicated although there appears to be a component of strike-slipmotion and aftershocks exhibit a variety of focal mechanisms. Additional discussion of fault planesolutions for this earthquake are in Walter (1993). See also Smith et al. (1993) who suggest that the focalmechanism may have involved two faults striking at right angles to each other. If movement on the twofaults was simultaneous, some degradation of the fault plane solution would be expected. At this timethere is no further information available on this topic in the literature. The UNV/R now operates theNTS network of sensitive seismic stations. Data from more distant stations than those in the NTSnetwork were also used in these analyses. The UNV/R and USGS (1992) epicenter and aftershock-depthmaps are provided on Figure 4-4.

Stations 1 and 2, may be seen on Figure 4-3 to lie along the surface projection of the buried fault . Aprojection of aftershocks with depth perpendicular to this plane was not shown. Therefore it is not knownwhether the aftershock distribution strongly supports the preferred fault plane or the alternate solution.The horizontal extent of the slip plane, as suggested by the aftershock distribution is also unavailable atthis time although bounds may be estimated. High accelerations at stations 1 and 2 support the strike ofthe chosen solution.

Epicentral distances measured on the sketch map (Figure 4-1) and those listed Table 4-1 (Lum andHonda, 1993) are not in perfect agreement. The Table 4-1 values are accepted as being more accuratethan the sketch map distances.

Distances in published attenuation curves are usually expressed as the distance to the surface expressionof fault rupture. For smaller earthquakes, whose rupture plane does not reach the surface, the definitionmay be the distance to the projection of the rupture plane to the surface. For Campbell (1987) it is theclosest distance to the rupture plane as defined by aftershocks.

4-1

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Table 4-1. Little Skull Mountain Earthquake Peak Accelerations

eAJ

…------- Corrected ------- >Station Accal. Velocity DispNo. Coop (cu/soc:) (Cm/Sac) (Cm)

1 A DOWN 84.485 -2.465 0.4551 A NORTH 132.736 4.234 0.5241 A WEST -204.277 11.247 0.773

1 B DOWN 80.697 -2.405 0.4291 8 NORTH 128.704 -4.114 -0.471I 8 WEST -208.734 11.477 -0.825

2 A DOWN -66.300 2.567 0.2672 A NORTH -118.275 5.044 -0.4992 A WEST 89.243 -4.609 -0.576

2 8 DOWN -68.179 2.615 0.2522 8 NORTH -116.673 5.053 -0.4972 8 WEST 88.807 -4.642 -0.623

3 DOWN -33.004 -0.669 -0.1913 NORTH -35.931 -1.069 -0.1093 WEST -60.592 -2.065 0.183

4 DOWN 15.120 -0.558 0.1604 NORTH -18.631 1.055 0.1934 WEST 20.999 1.263 -0.232

S DOWN -11.009 0.423 -0.170S NORTH -15.785 0.833 -0.1995 WEST 14.812 0.744 -0.147

6 DOWN -5.505 0.218 -0.1166 NORTH 7.631 0.266 -0.0806 WEST -8.173 0.309 -0.134

7 DOWN -4.746 0.326 -0.1597 NORTH -7.039 0.524 0.1197 WEST -S.345 0.364 -0.125

8 DOWN 8.602 -0.305 0.0848 NORTH 12.101 -0.521 -0.0928 WEST 12.637 0.432 -0.084

9 DOWN -2.570 -0.273 -0.0749 NORTH -3.987 -0.412 0.0859 WEST -6.288 -0.511 0.088

10 DOWN 5.408 0.369 -0.14010 NORTH 8.896 -0.768 -0.19210 WEST 8.961 -0.914 -0.311

Distance trom

15

30

49

58

62

99

99

102

109

113

…-------

Corrected ------- >

Station Accel. Velocity DimpNo. Comp (ce/ec:) (cm/sec) (em)

11 DOWN 4.951 0.330 -0.13611 NORTH 10.842 0.371 0.15611 WEST 8.521 0.324 0.164

12 DOWN 15.126 0.905 0.11012 NORTH 9.622 -0.822 0.12812 WEST 19.704 0.796 -0.111

13 DOWN -3.546 0.396 -0.16313 NORTH 7.427 0.779 0.29213 WEST -7.929 1.169 0.312

14 A DOWN -9.412 0.831 -0.14214 A NORTH -15.448 1.322 -0.30614 A WEST 16.795 -1.877 0.250

14 8 DOWN -9.769 0.820 -0.14314 8 NORTH -15.391 -1.343 -0.27914 a WEST 16.523 -1.869 0.260

is A DOWN -3.104 -0.271 0.07315 A NORTH -5.273 -0.390 -0.14815 A WEST 4.823 0.467 0.118

is 8 DOWN -3.091 0.303 -0.108Is a NORTH -4.722 0.514 -0.155is 8 WEST 5.669 0.626 0.146

16 DOWN 4.817 -0.629 0.15116 NORTH 7.212 0.710 0.17416 WEST 9.188 -1.345 0.362

17 DOWN -2.293 -0.163 0.10917 NORTH -2.718 -0.170 0.03417 WEST -3.258 0.267 0.118

18 DOWN -3.584 0.267 -0.09718 NORTH 5.637 -0.524 -0.12918 WEST 7.665 -0.628 -0.134

19 DOWN 2.319 0.228 0.07419 NORTH 5.861 -0.936 0.15619 WEST 5.585 -0.446 0.093

20 DOWN -3.361 -0.113 0.05020 NORTH -3.158 -0.167 -0.06520 WEST -3.413 -0.172 -0.051

Dlitance tram

114

117

117

118

121

123

126

130

139

232

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20'

0

0

100 200 300 MILES

00 200 300 KILOMETERS

* YUCCA MOUNTAIN

Figure 4-1. Seismicity of the SW U.S. and Major Faults

4-3

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0 tO0 200 300 MILESI I I I_ _0 tOG 200 300 KILOMETERS

Figure 4-2. Little Skull Mtn. Earthquake and Seismicity of SW U.S. from 1978

4-4

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0

Tonopah

5.9 cm/sec 2

139 km

19)Goldfield

I

19.8 cm/sec2

117 km

-,

12.7 cm/sec2

102 kmI

_ .l\

>\ 60 cm/sec 2

49 km

(Baotty

118 cm/sec2

24 km,(I)

) 15.5 cm/sec2

\ 118 km

ij~AIomo

l

L!77L-Z ZKLL \ Approximate Faultt hroo * ', Rupture Plane

Wef I/

210 cm/sec2 /17 km I E

\ I/

\21 cm/sec3 is.

.58 km 'I 62

\/hru-P"-

,7cm/sec" \km

I "I

>\ | 0-9 cm/secIu _-99-123 km_

Ii.r ,'Ie .C5, //. I -

'N0 IiI*m .- 50 ion

_

* EPICENTER

O See Table 1 for station information

Aftu Lum and Hon (1993) and UNV/R and USGS (1993)

3.8 cm/sec2

232 km

IL ' n _.O

N

I

Figure 4-3. Strong Motion Seismograph Locations

4-5

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Note: Different symbols are used for magnitudeson the depth and surface plots.

I/

I

?pose4 Repository /15 kmt

.

V1

'N

'0XIally/

'If

0

So,.* QZ. el

C. 0 ; ,Oz c)

&- .1$<

*

1-~ $V

0,P 4 'a "PJ?4 if

co

After Fures fimUNV/R and USGS (1992)

C)

Figure 4-4. Main and Aftershock Locations

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For probabilistic analyses that involve seismic regions rather than specific faults, the distance to the faultrupture area cannot be specified prior to the event. Whether distance to the fault-rupture area orepicentral distance is a better measure, is important only for distances less than the fault rupture length.Wyss (1979) graphs fault rupture area versus magnitude. It is reproduced in dePolo and Slemmons(1990). dePolo and Slemmon's figure is reproduced on Figure 4-5. A magnitude 7 earthquake isassociated with about 500 km2 of rupture area. If rupture is constrained to depths less than 15 km, whichappears appropriate for the Basin and Range tectonic province, approximately 33 km of surface rupturewould be expected for a rectangular rupture area. At distances greater than 33 km from the ruptureplane, there is only a small difference in distances to the epicenter and to the rupture surface. For amagnitude 6, the rupture area is given as 80 km2. For a square shaped fault slip area, the horizontalextent of slip may be approximated by taking the square root of the slip area. The square root of 80 isabout 9 km. There are few recordings at distances less than 9 km. Therefore, empirical curves forstrong motion attenuation can be said to be largely based on epicentral distances, for magnitudes of 6 andless.

For the Little Skull Mountain earthquake, aftershocks are prevalent from the main shock initiation at a14 km depth to about 4 km from the surface. This 10 km vertical range of slip for a magnitude 5.6earthquake results in a slip area of about 30 km2 and suggests a horizontal fault rupture distance of only3 km. The generally lower stress drops in the Basin and Range tectonic province, however, wouldrequire larger slip areas than Wyss' (1979) relationship for all types of earthquakes averaged together(Figure 4-5). An average stress drop of 100 bars is proposed by Brune (1970) and Hanks and McGuire(1981). However, an average stress drop for Basin and Range earthquakes is about 36 bars (Stark andSilva 1992) or 20 bars for dip slip normal faults (McGarr, 1984). If we assume that the plot of Wyss(1979) samples earthquakes having an average stress drop of 100 bars, the horizontal extent of fault slipfor a magnitude 5.6 Basin and Range tectonic province earthquake, where stress drops are 20-36 bars,could be about 3 to 5 times larger than implied by Wyss' curve, or 8 to 13.5 km. In either case, thedistance is less than the entire proposed fault plane sketched in Figure 4-3.

The fault slip plane outlined by the majority of aftershocks is an area of about 7 km by 10 km asdetermined from Figure 4-4, or 70 km2, an area that is 2.3 times larger than the 30 km for Wyss'average stress drop. This area would imply a stress drop of about 30 bars. A stress drop for the LittleSkull Mountain earthquake has not been published at this time but the 30 bar value is similar to Stark andSilva's (1992) 36 bar average for the region. If a few more outlying aftershocks are assumed to representthe initial fault slip plane, the area could be 3 to 5 times larger than calculated for an average 100 barstress drop.

The 7 km by 10 km (from depths of 4 kms to 14 kms) outline encompasses most of the aftershocks inFigure 4-4. A larger area about 12 by 10 km, encompasses almost all the aftershocks. Using theseoutlines, stations 1 and 2 are about 10 to 12 km and 20 to 22 km respectively from the edge of therupture plane. Assuming these distances, Predictions are made from Campbell's curves and comparedto observed accelerations (Table 4-2). This excercise is speculative but serves to show that observedresults differ within expected bounds for Campbell's curves. Depth of the main shock and locations ofaftershocks will almost certainly change as work to define them progresses beyond the preliminary stagenow available.

The Little Skull Mountain earthquake of 1992 did not produce obvious surface offsets. Lum and Honda(1993) list epicentral distances. At the time Lum and Honda wrote their report, fault plane solutions hadnot been published. When first-P-motion fault-plane solutions are available, there are two possible

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E

.j

cr0

a:WwC,,

10_ A A A A

From dePolo and Slemmoi

60 70

MAGNITUDE

Figure 4-5. Fault Rupture Area Versus Magnitude

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Table 4-2. Predicted and Observed Accelerations

DISTANCE TO AVERAGE PEAKFAULT SLIP AREA STATION ACCELERATION

_Station 1 I Station2| Station 1 Station 2

Prediction from Campbell's unconstrained curve for sedimets > 10 m thick

7X1O km (most aftershocks) 12 km 22 km 0.11 g 0.06 g

12X10 km (almost all aftershocks)10km 20km 0.13g 0.07g

Predictions from Campbell's unconstrained curve for sediments < 10 m thick

xlO km (most aftershocks) 12 km 22 km 0.12 g 0.07 g

12X10 km (almost all aftershocks)10 km 20 km 0.2 g 0.1 g

Observed average of peak horizontal accelerations

110-12 kml 20-22 km 0.17 g 0.11 g

PEAK HORIZONTALObserved peak horizontal accelerations ACCELERATION

110-12 km| 20-22 km 0.2 g 0.13 g

solutions for each determination. Therefore results may be ambiguous. There is a temptation to useepicentral distances rather than the distance to the fault rupture when comparing earthquake vibratoryground motion to published curves. Because of the uncertainty in fault plane solutions, comparisonsbased solely on them, and resultant distances to the rupture surface, may not provide a desired level ofcertainty. Comparisons using both measures of distance are made in following paragraphs.

If the preferred fault plane solution depicted on Figure 4-3 is accepted, stations 1 and 2 are in the near-field of faulting and epicentral distance is not an appropriate measure of the distance to the fault. Thehigh values at station 3 (Beatty) remain an enigma. According to Honda (personal communication, 1993)the station is on shallow sediments over rock and not on a pronounced topographic high or in a valley.Station 1 values (Lathrop Wells) may also be influenced by its location in a valley. Aftershock activityis highest from depths of 4 km to 14 km according to Figure 4-4. Possible future theoretical modelingmay better resolve which fault plane solution is correct and may explain why station 3 recordedaccelerations more appropriate to a magnitude 7 or 7.5 than the measured 5.6. Smith et al. (1993) statethat aftershocks of the Little Skull Mountain earthquake appear in an "L" shaped pattern. This suggeststhat two perpendicular faults were involved in the focal mechanism. [Note that this reference is anabstract and there are no illustrations]. The secondary fault may pass under or close to Station 3. Thehigh acceleration values may have been caused by movement on the fault beneath Station 3 or wavepropagation along the fault zone directed toward the station from a distant rupture.

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4.1 Campbell Attenuation Functions

The purpose of comparing Little Skull Mountain accelerations with published attenuation curveswas to verify that the Campbell (1987) attenuation equation was suitable for predicting vibratory groundmotion in the vicinity of Yucca Mountain which is about 20 kilometers NW of the epicenter. Thatstrong motion from this earthquake may be typical or may be at the extremes of the data distributionabout the Campbell (1987) curves is acknowledged.

The Campbell (1981) procedure, also used in Campbell ('1987), predicts the average of the twopeak horizontal components, as previously noted. Joyner and Boore (1981) indicate that Campbell'scurves may be multiplied by 1.13 to produce curves that will predict the equivalent of the largest of thetwo horizontal components. Most published attenuation functions predict the highest accelerationrecorded by a horizontal component of a strong motion seismograph. The correction, 1.13, is usuallynot easily discernable on a log-log plot. Campbell's (1987) curves predict the average of peak horizontalaccelerations well but would underestimate the Little Skull Mountain earthquake peak-horizontalaccelerations when the corrected curve is used.

A nominal depth to the rupture surface of about 4 km may be interpreted from the aftershockdistribution in Figure 4-4. If the definition of distance to the rupture surface of Campbell (1987) is usedaccelerations at stations 1 and 2 are well predicted by Campbell's (1987) curve for sites with a sedimentthickness less than tom (Figure 4-6). If the slip plane is as narrow as the band of aftershocks on Figure4-4, distances to the slip plane for these stations will be longer than 4 km and will differ slightly for thetwo stations because the aftershock zone is not exactly centered on the hypocenter.

Campbell (1987) proposed modifications to his formulae for sites on sediments over 10 metersthick, to produce curves which may be applied to a rock site or a site covered by sediments less than 10meters thick. Stations near to the epicenter are either on hard rock (volcanic tuffs but not basement rock)or are covered by shallow sediments, according to Honda (personal communication, 1993). Thereforea modification for hard rock is used for one of the Campbell curve comparisons (Figure 4-7).Refinements in comparing observed accelerations with Campbell's (1987) curves may be possible wheninformation concerning the stations' foundation material becomes available. Distance to the aftershock-defined-rupture surface is used for stations 1 and 2. Epicentral distance and distance to the rupturesurface are so similar that they cannot be distinguished on the plot for stations 3 and higher. Stations1,2,4, 5 and 19 lie on the M = 5.6 curve. Stations 3, 8, 12, 14 and 20 register higher accelerations thanare predicted for a magnitude 5.6 earthquake on the Campbell curves whether epicentral or fault-slip-plane distances are used. The accelerations recorded are more appropriate to Campbell's magnitude 6.5or 7 hard rock curves.

An intermediate set of curves between those for shallow sediment and deep sediment is proposedby Campbell (1993) for soft rock sites. Tuff rock at Yucca Mountain, which is appears less hard thangranite or basalt, may be considered a candidate for these curves. Campbell (1993) applies this conceptto plate margin thrusts but it may also be applied to other fault types with appropriate adjustments to hisformulae. This proposal is essentially an average of Campbell's (1987) curves for sites with sedimentthickness greater than 10 meters and for less than 10 meters. The differences between values predictedby his new soft-rock curve and accelerations predicted by his 1987 curves are not likely to be large.Consequently, investigation of the proposed curve modified for a low stress drop earthquake, rather thanthe thrust earthquake for which it was developed, is left as a future exercise.

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InAIo.J , f

I I . l i I I

e - epicentral distancers - distance to rupture surface

ave - average of peak horizontal accelerations -

S0P

UQ

4C

0Iz

0.4-

0.21irs * ave2r, E2,,s ave.0.1

0.04-* ave.

\, \

4e I%0.02 I-

\ 0\'\. *5' *01

A .u - I . . . IWA# 1i . . . 4IU.UI1 ~ ~ ~ ~~~~ , Il ;As I . I, ^ : * 1I & -9 IV du 40 100 200

DISTANCE TO SEISMOGENIC RUPTURE (km.

Figure 4-6. Campbell's (1987) Attenuation for Sediment

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Peak Accelerationvs Di5tance

10

1

-P

o.

rJL-ai

--Ic

0.1

0.01

0.001

0.00011 10 100 1000

Di stance (KM)

Figure 4-7. Cambell's (1987) Attenuation for Rock

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4.2 Joyner (1981) Attenuation Functions

Joyner and Boore (1981) define distance to be "... the shortest distance to the surface projectionof the rupture." The range of distances for stations 1 and 2 is indicated on Figure 4-3, assuming that theaftershock area on figure 4-4 represents the rupture area. As with all attenuation curves, distances to theother stations are equivalent to epicentral distance within the plotting accuracy of this figure. It is worthyof note, that the Joyner and Boore (1981) peak acceleration formula implicitly incorporates an equivalentaverage depth to rupture area of 7.3 km for 5.3 < m < 7.7. The word "equivalent" is used becausethe 7.3KM is modified by other factors inherent in their empirical analysis.

Figure 4-8 depicts the acceleration attenuation curves of Joyner and Boore (1981). The peakhorizontal acceleration from each strong motion station recording the Little Skull Mountain earthquakeis plotted against this curve. Values from these curves are compared to the highest of the horizontalrecorded strong motions at each station. The observed acceleration data fits the data well when stationsnear the fault rupture (stations 1 and 2) are plotted with the distance-measure prescribed by Joyner andBoore. Their distance measure and epicentral distance are indistinguishable on these plots for moredistant stations. About an equal number of accelerations plot above M = 5.6 values as plot below them.The Joyner and Boore curves are a good fit to the observed data. These curves are adequate for thedistances at which accelerations were recorded during the Little Skull Mountain earthquake. They mayhave a slight advantage over the Campbell curves in that the distance-measure is not as complex and themore traditional peak acceleration of the two horizontal components, is used. Joyner and Boore's datafit this definition of peak acceleration better than Campbell's curves after modification with a factor of1.13 to correct for his definition of peak acceleration (the average of peak accelerations on each of thetwo horizontal components. Campbell's curves appear to predict the Little Skull Mountain accelerations,as he defines them, slightly more accurately than the Joyner and Boore curves. However it is usuallynot possible to predict rupture areas well. Consequently it is difficult to predict distances as defined byCampbell before an earthquake happens. For the practical purpose of using these functions in SEISM 1,these curves appear to have equal usefulness. If there is a substantial difference, it will be discerned onlyafter use as a prediction tool.

4.3 Schnabel and Seed (1973) Attenuation Curves

Figure 4-9 is the Lum and Honda (1993) data plotted against the attenuation curves of Schnabeland Seed (1973). Data for accelerations greater than 0.1 g, stations 1 and 2, plot well assumingepicentral distance is the measure of distance. Therefore, these curves may be useful for predictingaccelerations where fault rupture areas cannot be defined in advance of an earthquake and only zones ofseismicity may be defined. Arabasz et al., (1992) state that there are "Fundamental problems incorrelating diffuse seismicity with mapped Cenozoic faulting and subsurface geologic structure in the Utahregion ... " "Problems include (1) uncertain subsurface structure ... (2) observations of discordancebetween surface fault patterns and seismic fault slip at depth ... (3) a paucity of historical surface faulting,and (4) inadequate focal-depth resolution from regional seismic monitoring." Another problem is thatthe seismic cycle for major faults in the Basin and Range tectonic province appears to be about 1,000years long and these faults appear to become seismic in a random manner (e.g., VanWormer and Ryall,1980). These problems are manifest throughout the Basin and Range tectonic province to some degree.Arabasz et al. (1992) suggest that using surface mapped fault zones as the sole seismic sources for ananalysis of seismic risk may not be feasible. Consequently, a source zone approach may also be required

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W0

z

LU

I-l 0.1UU

-c

I-1

z-0.01

0.001

DISTANCI

Figure 4-8. Joyner and Boore's (1981) Attenuation

0E D Km

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.

a.9

044W

I-

.2

Q

.S

Distance from Causative Fault (miles)l I I , I .

2- I I4 6 10 20 40

Distance from Causative Fault (km)60 100

Figure 4-9. Schnabel and Seed's (1973) Attenuation

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0 0

and there may be a need for an attenuation function that provides reasonable results when site to sourcedistance is defined as epicentral distance.

Ryall and Van Wormer's (1980) concern that the Schnabel and Seed curves may overestimateBasin and Range accelerations by a factor of two or more seems not to apply for the Little SkullMountain earthquake records greater than 0.1 g.

4.4 Other Potential Attenuation Functions

Other potential attenuation functions could be incorporated into SEISM 1 for western U.S. sitesand their results also checked against the Little Skull Mountain earthquake recorded accelerations. Thiswould remain a future effort but some discussion is appropriate here.

The SEISM 1 code version available to the CNWRA contains several attenuation functionformulae based upon the stochastic method. This method employs spectra of the S wave portion ofteleseismic records to develop estimates of strong vibratory ground motion or their spectra for use indesign. This methodology is also named the band-limited-white-noise method, random vibration theoryor source theory method. They are all similar and are based on Hanks and McGuire (1981) which, inturn, is based upon Brune (1970).

There are several variables in the method that may be adjusted, although Hanks and McGuirepropose that several of them should be assumed constant. These variables and citations concerning themare discussed in Hofmann (1991). The method or methods were popular among experts elicited for theeastern U.S. studies (e.g. in Bernreuter et al., 1989a). Seven of the attenuation formula types in SEISM1 are for random vibration (rv) models. Two of these are for the generation of spectra for design.Although rv methods may not be desirable for use with a HLW repository with its 10,000 year periodof performance concern, it is likely that some experts elicited for a PSHA analysis of Yucca Mountainwill strongly recommend their use. Formulae for this method are discussed in Toro and McGuire (1987)and in Boore and Atkinson (1987). Equations for the rv method are summarized in McGuire et al.(1993). Using the equations is a complex procedure. Bernreuter et al. (1989a) performed the rvattenuation calculations as a separate exercise, fit the final acceleration versus distance for each of severalmagnitudes with a curve-fitting formula, and used the formula's coefficients and exponents with anexisting equation in SEISM 1. This is also the approach that is proposed here for adding rv attenuationfunctions, suitable for the western U.S., to SEISM 1 in the future. This procedure is less complex andmore computationally efficient than the direct use of the rv method in the code. Bernreuter et. al. (1989)states that their curve-fit procedure replicates the rv attenuation curve within 5 percent.

Appendix D contains a listing of sections of FORTRAN source code that apply to the varioustypes of attenuation functions that were employed for the eastern U.S. analyses. Final analyses of easternU.S. power plants may have used other attenuation functions. This discourse is not intended to be ahistorical discussion of the eastern U.S. analyses but an evaluation of the available code and how it maybe used at the proposed Yucca Mountain site. See Bernreuter et al., (1989a, volumes 6 and 7) for adiscussion of rv formulae used in the SEISM 1 code. The rv method is derived from teleseismic momentdetermination methods which do not differ between the eastern and western U.S. Adherents of the rvmethod have argued that the long period portion of the seismic spectrum attenuates differently in theeastern compared to the western U.S. and that seismic sources generate about two times higheraccelerations in the eastern U.S. at distances less than 10 km. (e.g., Atkinson and Boore, 1989). The

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latter characteristic is attributed to a higher f. and probably a higher stress drop. These observationssuggest that the same rv equation cannot be used for both the eastern and western U.S. The rv theoryis not likely to predict near field variations in accelerations with a higher precision than other methods,considering its origins in teleseismic moment calculations.

Toro and McGuire (1987) state that their attenuation curve for the eastern U.S. is a modificationof Boore's 1983 development for the western U.S. A draft 1991 ASCE report regarding design loadsfor an HLW repository (authors are not indicated) lists alternative coefficients for this method for theeastern and western U.S. Boore (1983) describes a method for determining the amplitudes of spectralbands. He did not publish a relationship for acceleration versus magnitude and distance. This methodhas not been prepared as an input file for attenuation functions to SEISM 1 but probably should be afuture effort because it appears to be a method of choice by many experts. Considering the variety ofrv formulae presently in the SEISM 1 code (see Appendix D), it is likely that other experts will havediffering opinions regarding coefficients or the basic formula.

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5 CONVERSION OF MAGNITUDE TO FAULT OFFSET

Elements of rv theory are necessary to convert paleo-fault displacements into prehistoric earthquakemagnitude estimates and to utilize a PSHA code to develop PFD hazards. Early proponents of themethod (e.g. Hanks and McGuire, 1981) believed that their rv method was broadly applicable and didnot suggest modifications for eastern and western U.S. sites. Subsequent literature e.g., Hough andAnderson (1989) and Atkinson and Boore (1990) suggests that modifications of stress drop, the highfrequency spectral corner, fmax' and a form of spectral attenuation may be appropriate for region-specificrv attenuation formulae.

Seismic moment has been defined as a function of fault slip area and stress drop (e.g., Keiles-Borok,1957). Seismic moment may be related to either a moment magnitude or other magnitudes, e.g.Kanamori and Anderson (1975) and Kanamori (1983). A combination of these relationships can providea means of determining magnitude from fault slip area for a typical stress drop associated with aparticular style of faulting. Bonilla et al. (1984) demonstrate relationships between magnitude and faultrupture length or offset for data from all types of faults combined. Slemmons (1977) produces similarinformation separated by fault type, although statistical treatments are not identical. Alternative, largelyempirical procedures, are described by Sommerville et al. (1987) which could be programmed separately.Currently only a procedure based on stress drop and seismic moment appropriate to Basin and Rangeearthquakes has been formulated for use with SEISM 1.

5.1 FAULT OFFSET HAZARD WITHIN A REPOSITORY: METHODOLOGY

The equation:

MO = IAD (5-1)

relates the fault slip area, A, and average slip displacement D) to seismic moment, Mo and rigidity at thesource, uo. Moment is related to magnitude by:

Log MO = 1.5 Mw + 1.61 (5-2)

M, is the moment magnitude. The above definitions and formulae are from Hanks and Kanamnori (1979).The same equation has been shown to apply for Ms by Pucaru and Berkhammer (1978) for 5 < Ms > 7.5.

A relationships for stress drop and rigidity from Keilis-Borok (1957) for a circular fault slip areais:

ho= 4(7/16)7r(D/r) (5-3)MO = (16n7)Aa(a 3) (5-4)

The variable, r, is the radius of the circular fault dislocation and Aa is stress drop. These formulae,combined, yield a function of magnitude, stress drop, average fault displacement and fault slip area.

Stress drop for several larger Basin and Range earthquakes has been determined to be about 36bars (Stark and Silva, 1992). This value or future refinements permit a relationship between moment

5-1

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magnitude fault slip area and average displacement. Figure 4-5 of this report presents a relationshipbetween fault slip area and magnitude for an average stress drop, assumed to be 100 bars. Thisrelationship may be modified for a 36 bar stress drop. Average fault displacement may then be relatedto moment magnitude. Kanamori (1983), also in Campbell (1985), relates moment magnitude tomagnitudes commonly used in SEISM 1. These relationships, together, can convert earthquakemagnitudes to fault slip and fault slip area or the reverse. They permit the conversion of paleo-fault-offset data to earthquake magnitude to extend historical seismicity to longer periods of time and to convertearthquake magnitudes in SEISM 1 to fault slip. The proposed process is illustrated in Figure 5-1.

The final hazard curve from SEISM 1 is given in terms of acceleration and probability. Thisoutput of SEISM 1 would not be used. Expert opinion of source regions or faults and the seismic activityon them, however, would be used. If random earthquakes are assumed to occur on randomly distributedfaults throughout Yucca Mountain, these earthquakes can be converted to fault offset and the probabilitiesof their occurrence can be determined over an area or volume of the repository. Estimates of seismicactivity on particular faults can also be interpreted in terms of fault slip probability in this manner.

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MAGNITUDE

Log MO = 1.5Ms + 1.61e.g., Suzuki and Kiremidjian (1991)Hank and Kanamori (1979) for Mw

MOMENT

M0 - (7/16)Aa a3

Let Aa - 36 bars SLIP AREASee McGarr 1984 * RADIUS (a)for other means ofestimating 'a'.

See Wyss (1979) curvefor Slip area, A, versus M(Figure 4-5) and useMo = p A DP - 33 X10" dynes/cm'(eg., Kanamori (1972) RUPTURIE WInTmAverage offset, u - MIW PI AND OFFSETWyss (1979)

Figure 5-1. Process to Convert Magnitudes to Fault Displacement for Statistical Analysis

5-3

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6 CONCLUSIONS AND RECOMMENDATIONS

SEISM 1 has been modified for use at western U.S. sites. The next step is a trial computation withpublished theories and information largely substituted for an elicitation of expert opinion. Informalelicitations may be made of CNWRA and NRC staff to augment published material. The purpose of thetest computations will be to ascertain if modifications made to SEISM 1 function properly and todetermine the kind of problems that may arise from a more formal elicitation of expert opinion. Severalvibratory ground motion attenuation functions have been added to SEISM 1 for use in the western U.S.However, based on past experience by LLNL in their eastern U.S. analyses, experts may desire quitedifferent attenuation functions than those added to SEISM 1. The experience gained in the SEISM 1modification procedure by CNWRA is anticipated to make the introduction of additional attenuationfunctions a relatively minor task.

In a comparison with the recent Little Skull Mountain earthquake accelerations, average-peak-horizontalaccelerations over 0.1 g, from stations 1 and 2, are better predicted by the Campbell hard-rock curvesthan they are by the other curves investigated. More distant lower acceleration values were sometimesunderestimated by Campbell's curves. Joyner and Boore's (1981) curves predicted peak horizontalaccelerations at stations 1 and 2 well, when distance to the rupture surface is used. Accelerations atstations 4, 5 and 8 are overestimated and accelerations at stations 3, 12, 14, 19 and 20 areunderestimated. About an equal number of accelerations were overestimated as underestimated.

Observed Little Skull Mountain earthquake accelerations are conservatively represented by the Campbell(1987) curves except for one station (Beatty) when near field stations are excluded or Campbell's (1987)definition of distance is adhered to precisely. The Joyner and Boore curve fit to the data is moreconservative for distant stations. The best fit for all data greater than 0. Ig is obtained with the Schnabeland Seed (1973) curves when epicentral distance is assumed. These differences in prediction accuracyappear more related to the definitions for "distance" and "peak accelerations" used by these authors thanby the shape of the curves.

Formulae for converting earthquakes to equivalent fault displacements are recommended as a means ofusing SEISM 1 to analyze fault displacement probabilities and hazard for a specified areas. Additionalwork on these concepts is considered advisable to automate this process. Future efforts to develop animproved user interface for SEISM 1 are recommended. As a part of that effort, fault-displacementearthquake equivalence formulae may be incorporated in a more formal and more easily used manner.

Faults near a facility that are considered to be active, should be modeled for their acceleration generatingpotential. Values for the near-field cannot be reliably determined from empirical attenuation functions.There are likely to be inexplicable extreme values in any collection of strong motion records near thesource of an earthquake. Causes may be multiple fault sources, focusing or station proximity to arupturing asperity. Further study of the site geology and source function of the earthquake may explainthe extreme value for station 3 but we are unlikely to be able to predict all future such values.Consequently, a conservative estimate of near field accelerations is recommended.

6-1

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7 REFERENCES

Arabasz, W.J., J.C. Pechmannn, and E.D. Brown. 1992. Observational seismology and the evaluationof earthquake hazards and risk in the Wasatch Front area, Utah. Assessment of RegionalEarthquake Hazards and Risk Along the Wasatch Front, Utah. P.L. Gori and W.W. Hays, eds.U.S. Geological Survey (USGS) Professional Paper 1500-A-J D-1 - D-36.

ASCE. 1991. ASCE Design Guideline - Definition of Design Loads (Description of methods to developearthquake and fault displacement inputs to the design of a high level nuclear waste repository),a draft unpublished document. New York, NY. American Society of Civil Engineers.

Atkinson, G.M. and D.M. Boore. 1990 Recent trends in ground motion and spectral response relationsfor North America. Earthquake Spectra 6:15-35.

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Bernreuter, D.L., J.B. Savy, R.W. Mensing, J.C. Chen, and B.C. Davis. 1985. Seismic HazardCharacterization of the Eastern United States. UC/LLNL UCID 2041, V 1 and 2. Livermore,CA: LLNL.

Bernreuter, D.L., J.B. Savy, R.W. Mensing, and J.C. Chen. 1989a. Seismic hazard characterization of69 Nuclear Plant Sites East of the Rocky Mountains NUREG/CR-5250 (UCID-21517) V 6 and7. Washington DC: NRC.

Bernreuter, D.L., J.B. Savy, and R.W. Mensing. 1989b. Seismic Hazard Characterization of the EasternUnited States: Comparative evaluation of the LLNL (Lawrence Livermore National Laboratory)and EPRI (Electric Power Research Institute) studies. NUREG/CR-4885 (UCID-20696).Washington DC: NRC.

Bonilla, M.G., R.K. Mark, and J.J. Lienkaemper. 1984. Statistical relations among earthquakemagnitude, surface rupture length, surface fault displacement. Bulletin of the SeismologicalSociety of America (BSSA) 74:2379-2411.

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Brune, J.N. 1970. Tectonic stress and the spectra of seismic shear waves. Journal of GeophysicalResearch (JGR) 75-B:4997-5009.

Campbell, K.W. 1980 Seismic Hazard Analysis for the NTS Spent Reactor Fuel Test Site. A TerraCorporation Report to LLNL. 64 pages.

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Campbell, K. W. 1981. Near Source Attenuation of Peak Horizontal Acceleration. BSSA 71:2039-2070.

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Campbell, W.K. 1985 Strong motion attenuation relations: A ten year perspective. Earthquake Spectra.1:365-376

Campbell, K.W. 1987. Predicting strong ground motion in Utah. Evaluation of Regional and UrbanEarthquakes and Risk in Utah, W. W. Hayes and P.L. Gori, eds. USGS Professional Paper 87-585II, L1-L90. Washington DC: Department of the Interior.

Campbell, K. W.. 1993. Empirical prediction of near-source ground motion from large earthquakes.Preprint to Proceedings of the International Workshop on Earthquake Hazard and Large Damsin the Himalaya, New Delhi, India January 15-16, 1993, 17 pages.

Davis, B. C. 1991. SHC Software and Data Base. (draft) UCID-XXXX. Livermore, CA: LawrenceLivermore National Laboratory.

dePolo, C.M. and D.B. Slemmons. 1990. Estimation of earthquake size for seismic hazards. Reviewsin Engineering Geology, Volume VIII: 1-28. Boulder Colorado. Geological Society of America.

DOE. 1988. Site Characterization Plan, Yucca Mountain Site Nevada Research and Development Area.Washington D.C.. U.S. Department of Energy Office of Civilian Radioactive WasteManagement.

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Hanks, T.C. and H. Kanamori. 1979. A moment magnitude scale. JGR. 84B:2348-2350

Hanks, T.C., and R.K. McGuire. 1981. The character of high frequency strong ground motion. BSSA71:2071-2075.

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Hofmann, R. B. 1991. Probabilistic fault displacement and seismic hazard analysis literatureassessment. CNWRA 91-013 (Rev.1). San Antonio. Center for Nuclear Waste RegulatoryAnalyses.

Hofmann, R. B. 1992a. Select Alternative Acceleration attenuation functions for the Basin andRange. Letter Report to the NRC/DHLWM. San Antonio, TX, SwRI/CNWRA.

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0 a

Hofmann, R. B. 1992b. SEISM 1 Code Modifications and Application: Assessment of Needed Effort.Letter Report to the NRC/DHLWM. San Antonio, TX, SwRI/CNWRA.

Hofmann, R. B. 1992c. Regulatory Analysis of Probabilistic Fault Displacement and Seismic HazardAnalysis (PFD&SHA). Letter Report to the NRC/DHLWM. San Antonio, TX, SwRI/CNWRA.

Hofmann, R.B. 1992d. Assessment of Requirements for Exercising the SEISM Code on ComputerSystems Available to the CNWRA. Letter Report to the NRC/DHLWM. San Antonio, TX,SwRI/CNWRA.

Hofmann, R.B. 1992e. SEISM 1 Code Modifications and Application: Assessment of Needed Effort.Letter Report to the NRC/DHLWM. San Antonio, TX, SwRI/CNWRA.

Hofmann, R.B. 1992f. Selection of Alternative Acceleration Attenuation Functions for the Basin andRange. Letter Report to the NRC/DHLWM. San Antonio, TX, SwRI/CNWRA.

Hough, S.E. and J.G. Anderson. 1989. Attenuation in western Nevada: Preliminary results fromearthquake and explosion sources. Geophysical Research Letters 16:207-2 10.

Joyner, W.B., and D.M. Boore. 1981. Peak horizontal accelerations and velocity from strong motionrecords including records from the 1979 Imperial Valley Earthquake. BSSA 71:2011-2038.

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Keiles-Borok, V.I. 1957. On the estimation of the Displacement in an earthquake source and of sourcedimensions. Annali de Geophysica 12:205-214.

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McGarr, A. 1984. Some applications of seismic source mechanism studies to assessing undergroundhazard. Proceedings of the Ist International Congress on Rockbursts and Seismicity in Mines.N.C. Gay and E.H. Wainwright, eds. Johannesburg 1082, South African Institute of Mines andMetallurgy (SAIMM):99-208.

McGuire, R.K. 1990. Demonstration of a Risk-Based Approach to High-Level Waste RepositoryEvaluation. EPRI NP-7057. Palo Alto, CA: EPRI.

McGuire, R.K., G.R. Toro and W.J. Silva. 1993. Engineering Model of Earthquake Ground MotionforEastern North America. EPRI NP-6074. Palo Alto, CA: EPRI.

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S

Morrison, P.W., R.B. Hofmann, and J.E. Wolfe. 1966. Parkfield earthquakes. Earthquake Notes27:3-12.

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Rogers, A.M., S.C. Harmeson, and M.E. Meremonte. 1987. Evaluation of the Seismicity of theSouthern Great Basin and its Relationship to the Tectonic Framework of the Region. USGSOpen File Report 87-408. Denver, Colorado. U.S. Department of Interior, U.S. GeologicalSurvey.

Rogers A.M., D.M. Perkins, F.A. McKeown. 1977. Preliminary Assessment of Seismic Hazard at theNevada Test Site. BSSA 77:1587-1606.

Ryall, A.S. and J.D. VanWormer. 1980. Estimation of maximum magnitude and recommended seismiczone changes in the western Great Basin. BSSA 70:1573-1581.

Schnabel, P.B., and H.B. Seed. 1973. Acceleration of rock for earthquakes in the Western United States.BSSA 63:501-516.

Seed, H.B. and I.M. Idriss. 1969 Influence of soil conditions on ground motions during earthquakes.Journal of Soil Mechanics and Foundations Division, Proceedings, American Society of CivilEngineers (ASCE).

Slemmons, D.B. 1977. Faults and Earthquake Magnitude. Report No. 6 in the Miscellaneous Paper S-73-1 series: State-of-the Art for Assessing Earthquake Hazards in the United States. Vicksburg,MS: U.S. Army Corps of Engineers Waterways Experiment Station.

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Toro, G.R. and R.K. McGuire. 1987. An investigation into earthquake ground motion characteristicsin eastern North America. BSSA 77:468-589.

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University of Nevada at Reno (UNV/R) and USGS. 1992. Summary of Findings on the Little SkullMountain Earthquake of June 29th, 1992. Reno, Nevada. University of Nevada at Reno.

University of Nevada at Reno (UNV/R) and U.S. Geological Survey, Branch of Geological RiskAssessment, Golden Colorado (USGS/Golden). 1992. The Little Skull Mountain Earthquakeof June 29, 1992. Letter Report of August 11, 1992 to the U.S. Department of Energy(USDOE), Reno, NV. University of Nevada.

VanWormer, J.D. and A.S. Ryall. 1980. Sierra Nevada-Great Basin boundary zone: Earthquake Hazardrelated to structure, active tectonic processes, and anomalous patterns of earthquake occurrence.BSSA 70:1472-1557

Walter, W. R. 1993. Source parameters of the June 29, 1992 Little Skull Mountain Earthquake fromcomplete regional waveforms at a single station. Geophysical Research Letters 20:403-406.BSSA 57:857-874.

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* a

APPENDIX A

PRINTOUTS OF OLD AND NEW USMAP FILES

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NEW FILE: USMAP

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summa version 3 compiled 2-16-93digitized contours of us map.digitized s 2/16/93 10:10:24acceptance band (in bits) = 2x y savy8.39104e+00 1.560580e+018.37857e+00 1.565500e+018.36325e+00 1.564670e+0l8.35215e+00 1.565400e+018.37840e+00 1.567330e+018.37168e+00 1.571950e+018.35956e+00 1.574430e+018.37551e+00 1.574450e+018.38746e+00 1.576250e+018.40417e+00 1.578080e+018.39020e+00 1.580480e+018.38468e+00 1.584540e+018.39838e+00 1.586820e+018.38125e+00 1.590940e+018.34575e+00 1.590500e+018.36080e+00 1.592980e+018.35835e+00 1.594570e+018.36541e+00 1.596950e+018.39919e+00 1.595750e+018.42089e+00 1.598570e+0l8.36730e+00 1.598150e+018.36850e+00 1.601890e+018.40148e+00 1.606310e+018.36912e+00 1.605180e+018.33164e+00 1.603080e+018.29240e+00 1.604560e+018.26243e+00 1.608860e+018.28699e+00 1.613390e+018.29086e+00 1.607520e+018.32352e+00 1.608670e+018.34841e+00 1.609460e+018.34841e+00 0.OOOOOOe+001.73313e+01 1.612180e+011.73043e+01 1.609210e+011.72959e+01 1.608970e+011.72785e+01 1.603610e+011.72514e+01 1.599430e+011.72440e+01 1.593150e+011.72318e+01 1.586540e+011.72128e+01 1.580140e+011.71652e+01 1.578700e+011.70996e+01 1.578400e+011.70312e+01 1.577430e+0l

1.69658e+011.70075e+011.70308e+011.70976e+011.71628e+011.72040e+011.72038e+011.71828e+011.71550e+011.71512e+011.71218e+011.70956e+011.70900e+011.70900e+011.70900e+011.71299e+011.71695e+011.72009e+011.72183e+011.72305e+011.72506e+011.72588e+011.72853e+011.73076e+011.73404e+011.73723e+011.74081e+011.74423e+011.74423e+011.74422e+011.74821e+011.75252e+011.75619e+011.76055e+011.76582e+011.77071e+011.77748e+011.78464e+011.79175e+011.79716e+011.79247e+011.79341e+011.79789e+011.80015e+011.79840e+011.79566e+011.79339e+011.79114e+01

1.576640e+011.576000e+011.576270e+011.577720e+011.578170e+011.574470e+011.567160e+011.560970e+011.555890e+011.548850e+011.543120e+011.537080e+011.533760e+010.OOOOOOe+001.533750e+011.538560e+011.543400e+011.548960e+011.555750e+011.561930e+011.568420e+011.575100e+011.581000e+011.587090e+011.592370e+011.597800e+011.602900e+011.607560e+010.OOOOOOe+001.607550e+011.612460e + 011.617060e + 011.622100e+011.626670e+011.630560e+011.634270e+011.637010e+011.638430e+011.638140e+011.635110e+011.634250e+011.633780e+011.632100e+011.628760e+011.624080e+011.619530e+011.614410e+011.609180e+01

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1.78541e+O1 1.607200e+O11.77868e+O1 1.608160e+O11.77544e+O1 1.603500e+O11.77130e+O1 1.601510e+O11.76778e+O1 1.596690e+o11.76650e+O1 1.595690e+O11.76650e+O1 O.OOOOOOe+001.76649e+O1 1.595650e+o11.77131e+O1 1.599500e+011.77671e+O1 1.600420e+O11.78388e+O1 1.601530e+O11.78892e+O1 1.597840e+O11.79170e+O1 1.600120e+O01.79493e+O1 1.605480e+O11.79765e+O1 1.605730e+O11.80082e+O1 1.606070e+O11.80236e+O1 1.605680e+O11.80229e+O1 1.600160e+011.80399e+O1 1.596890e+O11.80289e+O1 1.592570e+O11.80033e+O1 1.586790e+O11.80441e+O1 1.588360e+O11.80913e+O1 1.591040e+O11.81041e+O1 1.584950e+O11.81336e+O1 1.581970e+O11.81678e+O1 1.580160e+O11.82060e+O1 1.576960e+O11.82231e+O1 1.576690e+O11.82537e+O1 1.575150e+O11.83096e+O1 1.576170e+O11.83612e+O1 1.578310e+O11.83735e+O1 1.577930e+O11.83735e+O1 O.OOOOOOe+001.83668e+O1 1.501760e+011.83472e+O1 1.503020e+O11.83167e+O1 1.505990e+011.82937e+O1 1.505650e+011.82957e+O1 1.503830e+O11.82721e+O1 1.505470e+011.82414e+O1 1.509230e+O11.82192e+O1 1.514870e+O11.82183e+O1 1.521530e+O11.82092e+O1 1.523100e+O11.81895e+O1 1.517890e+O11.82057e+O1 1.524350e+O11.82396e+O1 1.526290e+O11.82682e+O1 1.531950e+O11.82413e+O1 1.528950e+O1

1.82462e+O1 1.532150e+O11.82755e+O1 1.537770e+O01.83071e+O1 1.543240e+O11.83395e+O1 1.548650e+O11.83780e+O1 1.553630e+O11.83899e+O1 1.553540e+O11.84107e+O1 1.551280e+O11.84602e+O1 1.549610e+O11.84277e+O1 1.553520e+O11.84668e+O1 1.558180e+O11.85092e+O1 1.562470e+O11.85179e+O1 1.564030e+O11.84585e+O1 1.561330e+O11.84115e+O1 1.559240e+O11.83647e+O1 1.555670e+O11.83204e+O1 1.552190e+O11.82852e+O1 1.549950e+O11.82897e+O1 1.555310e+O11.83137e+O1 1.561110e+O11.83245e+O1 1.566650e+O11.83290e+O1 1.567350e+O11.83066e+O1 1.563920e+O11.82808e+O1 1.566280e+O11.82364e+O1 1.568550e+O11.82581e+O1 1.566560e+011.82781e+O1 1.565230e+O11.82781e+O1 O.OOOOOOe+001.82782e+O1 1.565210e+O11.82770e+O1 1.559100e+O11.82446e+O1 1.554280e+O11.82049e+O1 1.549360e+O11.81758e+O1 1.543670e+O11.81403e+O1 1.538760e+O11.80968e+O1 1.540390e+O11.80945e+O1 1.540940e+011.81081e+O1 1.538070e+O11.80762e+O1 1.534930e+O11.80719e+O1 1.531790e+O11.80360e+O1 1.530050e+O11.80032e+O1 1.528190e+O11.79718e+O1 1.529720e+O11.79472e+O1 1.527740e+O11.79431e+O1 1.527370e+O11.79830e+O1 1.523180e+O11.79776e+O1 1.520610e+O11.79972e+O1 1.520760e+011.80074e+01 1.519630e+O11.79814e+01 1.515360e+O1

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1.79556e+O1 1.514900e+O11.79534e+O1 1.513050e+O11.79388e+O1 1.511250e+O11.79202e+O1 1.507840e+O11.78996e+O1 1.509620e+O11.79007e+O1 1.504760e+O11.78878e+O1 1.504710e+O11.78850e+O1 1.502840e+O11.78851e+O1 1.501090e+O11.78851e+O1 O.OOOOOOe+001.78851e+O1 1.501050e+O11.78512e+O1 1.503740e+O11.78226e+O1 1.503840e+O11.78186e+O1 1.499980e+O11.78102e+O1 1.499000e+011.78074e+O1 1.496420e+O11.77772e+O1 1.495320e+O11.77600e+O1 1.497520e+O11.77475e+O1 1.499080e+O11.77360e+O1 1.497720e+O11.77358e+O1 1.493740e+O11.77355e+O1 1.487060e+O11.77327e+O1 1.482840e+O11.77129e+O1 1.481960e+O11.76905e+O1 1.483000e+O11.76799e+O1 1.478960e+O11.76669e+O1 1.481740e+O11.76741e+O1 1.476950e+O11.76533e+O1 1.481530e+O11.76547e+O1 1.475620e+O11.76397e+O1 1.476700e+O11.76167e+O1 1.479700e+O11.76408e+O1 1.475900e+011.76372e+O1 1.473680e+O11.76248e+O1 1.473580e+O11.76157e+O1 1.473480e+O11.76052e+O1 1.473930e+O11.75826e+O1 1.469390e+O11.76010e+O1 1.465840e+O11.75862e+O1 1.462000e+011.75651e+O1 1.457270e+O11.75692e+O1 1.450600e+O11.75637e+O1 1.447160e+O11.75768e+O1 1.442270e+O11.75975e+O1 1.439860e+O11.76290e+O1 1.440700e+011.75980e+O1 1.436560e+O11.75920e+O1 1.432950e+O1

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0

1.72036e+O1 1.360470e+O11.72236e+O1 1.360800e+O11.72374e+O1 1.355500e+O11.72488e+O1 1.350310e+O11.72605e+O1 1.343890e+O11.72482e+O1 1.348890e+O11.72379e+O1 1.349550e+011.72419e+O1 1.346700e+O11.72499e+O1 1.342280e+O11.72351e+O1 1.337430e+O11.72238e+O1 1.335930e+O11.72207e+O1 1.333110e+011.72206e+O1 1.329580e+O11.72113e+O1 1.328850e+O11.72145e+O1 1.328310e+O11.71943e+O1 1.323220e+O11.71911e+O1 1.319170e+O11.71617e+O1 1.317540e+O11.71497e+O1 1.323310e+O11.71057e+O1 1.321760e+O11.70630e+O1 1.323610e+O11.70216e+O1 1.325800e+O11.70017e+O1 1.328570e+O11.69969e+O1 1.333200e+O11.70199e+O1 1.337320e+O11.70442e+O1 1.340860e+O11.70448e+O1 1.342050e+O11.70257e+O1 1.338040e+O11.69946e+01 1.335100e+O11.69783e+O1 1.329500e+O11.70066e+O1 1.325250e+O11.70506e+01 1.321650e+O11.70732e+O1 1.316810e+O11.71153e+O1 1.312980e+O11.71593e+O1 1.311200e+O11.71607e+O1 1.309770e+O11.71636e+O1 1.307770e+O11.71643e+O1 1.306660e+O11.71817e+O1 1.305790e+O11.71913e+O1 1.303850e+O11.71913e+O1 O.OOOOOOe+001.71913e+O1 1.303850e+011.71901e+O1 1.303090e+O11.71695e+O1 1.302220e+O11.71911e+O1 1.300600e+O11.71793e+O1 1.297950e+O11.71709e+O1 1.293360e+O11.71566e+O1 1.288830e+O1

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S

1.69162e+O1 1.325980e+O11.69029e+O1 1.325590e+O11.68996e+O1 1.321760e+O11.68718e+O1 1.321420e+O11.68707e+O1 1.317250e+O11.68485e+O1 1.318260e+O11.68437e+O1 1.316780e+O11.68351e+O1 1.315880e+O11.68484e+O1 1.313690e+O11.68130e+O1 1.313970e+O11.68437e+O1 1.312140e+O11.68602e+O1 1.310400e+O11.68741e+O1 1.308930e+O11.68366e+O1 1.308890e+O11.68624e+O1 1.306320e+O11.68566e+O1 1.304650e+O11.68621e+O1 1.301980e+O11.68857e+O1 1.297440e+O11.69246e+O1 1.293520e+O11.68968e+O1 1.292560e+O11.68545e+O1 1.296370e+O11.68544e+O1 1.295910e+O11.68855e+O1 1.292080e+O11.69379e+O1 1.290930e+O11.69635e+O1 1.285720e+O11.69414e+O1 1.286370e+O11.69233e+O1 1.286490e+O11.68874e+O1 1.287610e+O11.68427e+O1 1.289570e+O11.68433e+O1 1.287010e+O11.67957e+O1 1.290600e+O11.67771e+O1 1.290280e+O11.67573e+O1 1.287600e+O11.67460e+O1 1.292160e+O11.67600e+O1 1.295480e+O11.67684e+O1 1.299170e+O11.67530e+O1 1.301840e+O11.67542e+O1 1.301360e+O11.67609e+O1 1.296770e+011.67508e+O1 1.295310e+O11.67358e+O1 1.294220e+O11.67356e+O1 1.291210e+O11.67297e+O1 1.288160e+O11.67550e+O1 1.286120e+O11.67575e+O1 1.286090e+O11.67575e+O1 O.OOOOOOe+001.67586e+O1 1.286100e+O11.67966e+O1 1.289270e+01

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0

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1.67961e+011.67619e+011.67377e+011.67392e+011.67230e+011.67139e+011.67349e+011.67125e+011.67125e+011.67122e+011.67138e+011.66781e+011.66756e+011.66486e+011.66129e+011.66062e+011.66222e+011.65960e+011.65681e+011.65592e+011.65273e+011.64846e+011.64554e+011.64897e+011.64969e+011.64989e+011.65173e+011.64866e+011.64672e+011.64640e+011.64373e+011.64224e+011.64461e+011.64707e+011.64521e+011.64379e+O11.64306e+011.64063e+011.64105e+011.63794e+011.63884e+011.64082e+011.63936e+011.63824e+011.63978e+011.63869e+011.63484e+011.63443e+01

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0

1.70612e+O1 9.323330e+oo1.70493e+O1 9.267290e+OO1.70434e+O1 9.203450e+001.70563e+O1 9.160410e+001.70394e+O1 9.108810e+001.70488e+O1 9.101430e+oo1.70488e+O1 O.OOOOOOe+001.70484e+O1 9.101570e+001.70255e+O1 9.105110e+001.70138e+O1 9.105220e+001.69909e+O1 9.089650e+oo1.69532e+O1 9.064170e+001.69195e+O1 9.057670e+001.68644e+O1 9.040980e+001.68429e+O1 9.088520e+001.68810e+O1 9.078840e+001.69048e+O1 9.089480e+oo1.68426e+O1 9.107850e+001.68182e+O1 9.153490e+001.67846e+O1 9.189360e+oo1.67585e+O1 9.218670e+oo1.67005e+O1 9.233910e+001.66637e+O1 9.228570e+001.66473e+O1 9.236300e+001.66428e+O1 9.255230e+001.66175e+O1 9.278500e+001.65962e+O1 9.331270e+001.65756e+O1 9.371620e+001.65423e+O1 9.370510e+001.65639e+O1 9.408940e+001.65855e+O1 9.447200e+001.65855e+O1 O.OOOOOOe+001.65854e+O1 9.447170e+001.65538e+O1 9.390970e+001.65192e+O1 9.406820e+001.65027e+O1 9.477470e+001.65084e+O1 9.506530e+oo1.64629e+O1 9.495100e+001.64676e+O1 9.479910e+001.64704e+O1 9.448440e+001.64231e+O1 9.480720e+001.64037e+O1 9.493270e+001.63736e+O1 9.539400e+001.63526e+O1 9.571200e+oo1.63047e+O1 9.602700e+001.63136e+O1 9.617890e+001.63283e+O1 9.635270e+oo1.63293e+O1 9.663450e+00

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1.52481e+011.52152e+011.52616e+011.52972e+011.52724e+011.52200e+011.52094e+011.52094e+011.52094e+011.51777e+011.51029e+011.50361e+011.50935e+011.50767e+O11.50650e+011.50382e+011.50299e+011.49842e+011.49597e+011.49815e+011.49795e+011.49553e+011.49491e+011.48864e+O11.48533e+011.49026e+011.48693e+011.48529e+011.48324e+011.48176e+011.48132e+011.47720e+011.47407e+011.46941e+011.46350e+011.46273e+011.45653e+011.45157e+011.44998e+011.44731e+011.44581e+011.44191e+011.43600e+011.42982e+011.42804e+011.42804e+011.42804e+011.42576e+01

1.025060e+011.025500e+011.025920e+011.026050e+011.028440e+011.027040e+011.028380e+010.OOOOOOe+001.028340e+011.025070e+011.023480e+011.021340e+011.024600e + 011.027240e+011.026170e+011.027310e+011.022580e+011.018810e+011.017970e+011.020960e+011.023170e+011.018920e+011.018070e+011.015460e+011.015200e+011.017330e+011.019620e+011.025150e+011.027390e+011.025280e+011.018130e+011.018220e+011.016810e+011.017160e+011.017350e+011.016970e+011.014570e+011.014660e+011.010430e+011.008620e+011.008090e+011.009280e+011.009940e+011.012550e+011.010050e+010.000000e+001.01001Oe+Ol1.004240e+01

1.43203e+01 1.002490e+011.43806e+01 1.005330e+011.44125e+01 1.005420e+011.44218e+01 1.006030e+011.44429e+01 1.007520e+011.44332e+01 1.003790e+011.44183e+01 1.001150e+011.44590e+01 9.996800e+001.44887e+01 1.004830e+011.45109e+01 1.005410e+011.45058e+01 1.002990e+011.45104e+01 1.001160e+011.45309e+01 1.000000e+Ol1.45160e+01 9.972280e+001.44900e+01 9.971400e+001.44882e+01 9.947320e+001.44764e+01 9.939200e+001.44614e+01 9.933670e+001.44387e+01 9.924020e+001.44724e+01 9.891810e+001.44769e+01 9.890880e+001.44904e+01 9.886770e+001.45079e+01 9.864700e+001.45427e+01 9.865250e+001.45811e+01 9.856260e+001.46053e+01 9.835040e+001.46355e+01 9.822200e+001.46292e+01 9.807810e+001.46117e+01 9.786230e+001.45865e+01 9.783750e+001.45590e+01 9.751080e+001.45444e+01 9.735030e+001.45444e+01 0.OOOOOOe+001.45444e+01 9.735030e+001.45657e+01 9.781260e+001.45573e+01 9.800100e+001.45237e+01 9.811740e+001.44956e+01 9.821600e+001.44640e+01 9.834050e+001.44423e+01 9.855640e+001.44245e+01 9.878070e+001.43755e+01 9.881080e+001.43371e+01 9.893230e+001.43430e+01 9.873630e+001.43743e+01 9.843480e+001.43692e+01 9.819330e+001.43665e+01 9.782560e+001.43318e+01 9.762610e+00

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0

1.43157e+O1 9.798620e+001.42893e+O1 9.799580e+001.42681e+O1 9.812500e+001.42420e+O1 9.804080e+001.42298e+O1 9.766510e+001.41913e+O1 9.755200e+001.41728e+O1 9.753840e+001.41346e+O1 9.776110e+001.40693e+O1 9.779950e+001.40511e+01 9.801760e+001.40511e+O1 O.OOOOOOe+001.40511e+O1 9.802000e+001.40823e+O1 9.806190e+001.41080e+O1 9.789220e+001.40683e+O1 9.836060e+001.40657e+O1 9.878210e+001.40278e+O1 9.851930e+001.39940e+O1 9.864630e+001.39668e+O1 9.911350e+001.39113e+O1 9.907020e+001.38956e+O1 9.929580e+001.38454e+O1 9.900040e+001.38380e+O1 9.889500e+001.38613e+O1 9.869190e+001.38337e+O1 9.855140e+001.37624e+O1 9.846760e+001.36818e+O1 9.860470e+001.36136e+O1 9.886950e+001.35351e+O1 9.889750e+001.34669e+O1 9.884120e+001.34114e+O1 9.873600e+001.34097e+O1 9.876210e+001.34097e+O1 O.OOOOOOe+001.34096e+O1 9.875810e+001.34355e+O1 9.925800e+001.34012e+O1 9.918520e+001.34106e+O1 9.870550e+001.33595e+O1 9.851240e+001.32952e+O1 9.820460e+001.32330e+O1 9.788570e+001.31936e+O1 9.770280e+001.32456e+O1 9.805920e+001.32271e+O1 9.815690e+001.31974e+O1 9.823350e+001.31860e+O1 9.874880e+001.31381e+O1 9.853620e+001.31356e+O1 9.827430e+001.31457e+O1 9.783850e+00

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S

1.25224e+O1 8.945920e+001.25191e+O1 8.895400e+001.25464e+01 8.856490e+001.25716e+O1 8.802620e+001.25887e+O1 8.782370e+001.25924e+O1 8.797260e+001.25924e+O1 O.OOOOOOe+001.25926e+O1 8.797260e+001.26000e+01 8.766290e+001.26000e+O1 O.OOOOOOe+007.96081e+00 1.150810e+O17.95381e+00 1.157690e+O17.92577e+00 1.163830e+017.88968e+00 1.169610e+O17.85080e+00 1.175300e+O17.80291e+00 1.176900e+O17.78997e+00 1.182000e+O17.76543e+00 1.187840e+017.69641e+00 1.190210e+017.65175e+00 1.193880e+O17.62760e+00 1.199700e+017.58376e+00 1.205170e+O17.51901e+00 1.207620e+O17.45235e+00 1.211530e+O17.40222e+00 1.212810e+O17.40222e+00 O.OOOOOOe+007.40222e+00 1.212810e+O17.38120e+00 1.218780e+O17.40776e+00 1.225140e+O17.43306e+00 1.231680e+O17.39087e+00 1.236320e+O17.41105e+00 1.240670e+O17.37893e+00 1.246470e+O07.35062e+00 1.252110e+O17.33903e+00 1.258650e+O17.32238e+00 1.265100e+O17.29340e+00 1.271070e+O17.30387e+00 1.277690e+O17.33636e+00 1.279830e+O17.35718e+00 1.281340e+O17.35718e+00 O.OOOOOOe+007.35718e+00 1.281340e+O17.35820e+00 1.287620e+O17.30538e+00 1.290970e+O17.28278e+00 1.297130e+O17.29563e+00 1.304010e+O17.30545e+00 1.310410e+O17.33982e+00 1.312290e+01

0

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7.49390e+00 1.456890e+O17.53940e+00 1.462690e+O17.56610e+00 1.464370e+O17.59093e+00 1.464850e+O17.56897e+00 1.465690e+O17.61603e+00 1.471200e+O17.62625e+00 1.471840e+O17.65781e+00 1.477570e+O17.69104e+00 1.483890e+O17.72809e+00 1.488590e+O17.75070e+00 1.492800e+O17.76945e+00 1.498590e+O17.78023e+00 1.499530e+O17.78023e+00 O.OOOOOOe+007.78056e+00 1.499510e+O17.81742e+00 1.505970e+O17.84225e+00 1.510760e+O17.86622e+00 1.512470e+O17.88555e+00 1.517270e+O17.89001e+00 1.521910e+O17.91868e+00 1.527820e+O17.93879e+00 1.528140e+O17.95735e+00 1.528450e+O18.00631e+00 1.526970e+O18.05143e+00 1.523900e+O18.01476e+00 1.528110e+O17.96326e+00 1.530410e+O17.91992e+00 1.532100e+O17.94274e+00 1.538340e+O17.94363e+00 1.537420e+O17.96259e+00 1.534090e+O17.97096e+00 1.539210e+O17.99690e+00 1.540180e+O18.00566e+00 1.539930e+o18.00566e+00 O.OOOOOOe+008.00571e+00 1.539900e+O17.96618e+00 1.542870e+O17.97281e+00 1.546730e+O18.00879e+00 1.546970e+O17.99896e+00 1.550100e+O17.97088e+00 1.549810e+O17.99260e+00 1.557190e+O18.00017e+00 1.563780e+O18.00770e+00 1.570740e+O17.99706e+00 1.576930e+O18.02032e+00 1.583290e+O18.03125e+00 1.586940e+O18.03125e+00 O.OOOOOOe+00

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7.84365e+00 1.656900e+O17.83242e+00 1.653370e+O17.79520e+00 1.657030e+O17.75781e+00 1.655160e+O17.77583e+00 1.651990e+O17.74961e+00 1.648870e+O17.78192e+00 1.648350e+O17.80682e+00 1.646860e+O17.82140e+00 1.643810e+O17.85377e+00 1.644040e+017.82435e+00 1.641680e+O17.84269e+00 1.637270e+O17.86937e+00 1.636710e+O17.88947e+00 1.635510e+O17.89161e+00 1.630450e+O17.90408e+00 1.630040e+O07.94800e+00 1.627000e+O17.90915e+00 1.627780e+O17.86985e+00 1.625850e+O07.87216e+00 1.623160e+O17.89479e+00 1.620620e+017.93669e+00 1.620830e+O17.94945e+00 1.618970e+O17.92459e+00 1.616670e+017.95863e+00 1.615950e+017.96260e+00 1.613840e+017.97336e+00 1.611660e+O17.92864e+00 1.610870e+O17.95932e+00 1.605930e+O18.00459e+00 1.606050e+018.02498e+00 1.604030e+O18.07674e+00 1.603390e+O18.10574e+00 1.607320e+O18.10574e+00 O.OOOOOOe+008.10585e+00 1.607300e+O08.06718e+00 1.601930e+O18.01337e+00 1.599880e+O18.02354e+00 1.595510e+O18.06049e+00 1.590410e+O18.08974e+00 1.587580e+O18.13230e+00 1.582840e+O18.18258e+00 1.578700e+O18.21905e+00 1.578080e+O18.26171e+00 1.578400e+O18.26322e+00 1.584720e+O18.23175e+00 1.582500e+O18.23468e+00 1.587930e+O18.24590e+00 1.590970e+O1

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0

1.71912e+O1 1.292140e+O11.71741e+O1 1.286610e+O11.71814e+O1 1.288640e+O11.71814e+O1 O.OOOOOOe+001.73404e+O1 1.215630e+O11.73726e+O1 1.220240e+O11.73592e+O1 1.227410e+O11.73344e+O1 1.231850e+O11.73636e+O1 1.226500e+011.73771e+O1 1.220090e+O11.73478e+O1 1.215950e+O11.73404e+O1 1.215630e+O11.73404e+O1 O.OOOOOOe+001.73251e+O1 1.214300e+O11.72894e+O1 1.210840e+O11.73283e+O1 1.214960e+O11.73251e+O1 1.214300e+O11.73251e+O1 O.OOOOOOe+001.72813e+O1 1.209270e+O11.72809e+O1 1.209690e+O11.72813e+O1 1.209270e+011.72813e+O1 O.OOOOOOe+001.72560e+01 1.204550e+011.72269e+O1 1.198630e+O11.72166e+O1 1.195000e+011.72356e+O1 1.201710e+O11.72560e+O1 1.204550e+O11.72560e+O1 O.OOOOOOe+001.71718e+O1 1.195420e+011.71101e+01 1.192780e+O11.71205e+O1 1.193600e+O11.71753e+O1 1.195570e+011.71718e+O1 1.195420e+O11.71718e+O1 O.OOOOOOe+001.70445e+O1 1.186200e+O11.70036e+O1 1.181170e+011.70275e+O1 1.184920e+O11.70445e+O1 1.186200e+011.70445e+O1 O.OOOOOOe+001.69653e+O1 1.165830e+O11.69653e+O1 1.166200e+O11.69653e+O1 1.165830e+O11.69653e+O1 O.OOOOOOe+001.68444e+O1 9.850450e+001.68847e+O1 9.791990e+001.69234e+O1 9.733930e+001.69604e+O1 9.680090e+oo1.69181e+O1 9.734520e+oo

1.68842e+O1 9.787360e+001.68448e+O1 9.844090e+001.68444e+O1 9.850450e+001.68444e+O1 O.OOOOOOe+001.70816e+O1 9.199460e+001.70819e+O1 9.200070e+001.70816e+O1 9.199460e+001.70816e+O1 O.OOOOOOe+001.70719e+O1 9.151280e+001.70545e+O1 9.084180e+001.70263e+O1 9.036490e+001.70287e+O1 9.047620e+001.70396e+O1 9.085550e+001.70572e+O1 9.120500e+001.70736e+O1 9.152410e+001.70719e+O1 9.151280e+001.70719e+O1 O.OOOOOOe+001.64948e+O1 9.367270e+001.65206e+O1 9.355960e+001.65240e+O1 9.345910e+001.64921e+O1 9.371820e+001.64948e+O1 9.367270e+001.64948e+O1 O.OOOOOOe+001.56713e+O1 1.014390e+O11.56247e+O1 1.010510e+O11.55859e+O1 1.009320e+O11.56287e+O1 1.011160e+O11.56570e+O1 1.013330e+O11.56713e+O1 1.014390e+O11.56713e+O1 O.OOOOOOe+001.51890e+O1 1.024740e+O11.51346e+O1 1.023650e+O11.50741e+O1 1.021680e+O11.50158e+O1 1.020060e+011.50575e+O1 1.021240e+O11.51076e+01 1.023150e+O11.51577e+01 1.024590e+O11.51918e+01 1.024730e+O11.51890e+O1 1.024740e+011.51890e+O1 O.OOOOOOe+001.48221e+O1 1.014790e+O11.47831e+O1 1.014500e+011.48268e+O1 1.015230e+O11.48221e+O1 1.014790e+011.48221e+O1 O.OOOOOOe+001.47112e+O1 1.012570e+O11.46708e+01 1.013180e+O11.47112e+O1 1.012570e+O1

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0

1.47112e+O1 O.OOOOOOe+001.46544e+01 1.005110e+011.46547e+O1 9.991760e+001.46563e+O1 1.003580e+O11.46457e+O1 1.006700e+O11.46544e+01 1.005110e+O11.46544e+O1 O.OOOOOOe+001.45477e+O1 1.007690e+O11.45599e+O1 1.005650e+011.45236e+O1 1.005570e+O11.45448e+O1 1.007880e+O11.45509e+O1 1.008060e+O11.45477e+O1 1.007690e+011.45477e+O1 O.OOOOOOe+001.39496e+O1 9.857390e+001.39032e+O1 9.843210e+001.38895e+O1 9.869370e+001.39307e+O1 9.868730e+001.39496e+O1 9.857390e+001.39496e+O1 O.OOOOOOe+001.31833e+O1 9.754220e+001.31731e+O1 9.726340e+001.31229e+O1 9.689330e+001.31381e+O1 9.707670e+001.31798e+O1 9.743070e+001.31833e+O1 9.754220e+001.31833e+O1 O.OOOOOOe+001.28282e+O1 9.495270e+001.28121e+O1 9.489580e+001.28282e+O1 9.495270e+001.28282e+O1 O.OOOOOOe+001.27880e+O1 9.467930e+001.27426e+O1 9.428490e+001.26923e+O1 9.391680e+001.26932e+O1 9.412570e+001.27459e+O1 9.443550e+001.27873e+O1 9.471280e+001.27880e+O1 9.467930e+001.27880e+O1 O.OOOOOOe+001.26774e+O1 9.387950e+001.26420e+O1 9.336540e+001.26398e+O1 9.342390e+001.26645e+O1 9.387600e+001.26774e+O1 9.387950e+001.26774e+O1 O.OOOOOOe+001.26229e+O1 9.305260e+001.25868e+O1 9.250230e+001.25563e+O1 9.189620e+00

1.25357e+O1 9.131870e+001.25464e+O1 9.185880e+001.25677e+O1 9.234700e+001.25867e+O1 9.258670e+001.26177e+O1 9.310160e+001.26229e+O1 9.305260e+001.26229e+O1 O.OOOOOOe+001.25377e+O1 9.120570e+001.25386e+O1 9.050310e+001.25512e+O1 8.979290e+001.25714e+O1 8.914920e+001.25844e+O1 8.846500e+001.25840e+O1 8.815030e+001.25760e+O1 8.878460e+001.25565e+O1 8.940450e+001.25426e+O1 8.983630e+001.25354e+O1 9.043620e+001.25325e+O1 9.106080e+001.25377e+O1 9.120570e+001.25377e+O1 O.OOOOOOe+001.80489e+O1 1.522270e+O11.80511e+O1 1.517000e+O11.80489e+O1 1.522270e+O11.80489e+O1 O.OOOOOOe+001.78429e+O1 1.501730e+O11.78456e+O1 1.497790e+O11.78233e+O1 1.498250e+O11.78429e+O1 1.501730e+O11.78429e+O1 O.OOOOOOe+001.78637e+O1 1.414400e+O11.78585e+O1 1.410380e+O11.78698e+O1 1.412910e+O11.78637e+O1 1.414400e+O11.78637e+O1 O.OOOOOOe+001.77569e+O1 1.412110e+O11.77527e+01 1.408730e+O11.77310e+O1 1.408290e+O11.77569e+O1 1.412110e+O11.77569e+O1 O.OOOOOOe+001.75496e+01 1.391460e+O11.75050e+01 1.386770e+011.74689e+O1 1.383260e+O11.74310e+O1 1.379310e+O11.74071e+O1 1.378580e+O11.73650e+O1 1.375200e+O11.73152e+O1 1.371720e+O11.72607e+O1 1.368340e+O11.72488e+O1 1.366930e+O1

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04

1.72354e+O1 1.366530e+O11.72134e+O1 1.365490e+O11.71948e+O1 1.369430e+O11.72355e+O1 1.372420e+O11.72422e+O1 1.375340e+O11.72763e+O1 1.377260e+O11.73062e+O1 1.378420e+O11.73440e+O1 1.381110e+O11.74092e+O1 1.383970e+O11.74513e+O1 1.388880e+O11.74652e+O1 1.390520e+O11.74496e+O1 1.386370e+O11.74569e+O1 1.383660e+O11.74804e+O1 1.387700e+011.75188e+O1 1.388910e+O11.75567e+O1 1.392170e+O11.75496e+O1 1.391460e+O11.75496e+O1 O.OOOOOOe+001.53922e+O1 1.455050e+011.54059e+O1 1.451110e+O11.53832e+O1 1.445330e+O11.53655e+O1 1.446250e+011.53698e+O1 1.449000e+O11.53316e+O1 1.446020e+O11.52693e+O1 1.447330e+O11.52069e+O1 1.448300e+O11.51512e+O1 1.448690e+O11.51264e+O1 1.451100e+O11.51716e+O1 1.452230e+O11.52056e+O1 1.449850e+O11.52448e+O1 1.450220e+O11.52489e+O1 1.452930e+O11.52893e+O1 1.454080e+O11.53169e+O1 1.455240e+O11.53640e+O1 1.454150e+011.53776e+O1 1.453480e+O11.53922e+O1 1.455050e+O11.53922e+O1 O.OOOOOOe+001.50894e+O1 1.451020e+O11.50760e+O1 1.447990e+O11.50894e+O1 1.451020e+O11.50894e+O1 O.OOOOOOe+001.50324e+O1 1.452820e+O11.50538e+O1 1.448520e+O11.49990e+01 1.449050e+O11.50251e+O1 1.451670e+O11.50324e+O1 1.452820e+O11.50324e+O1 O.OOOOOOe+00

1.49704e+O1 1.456570e+O11.49919e+O1 1.453090e+O11.49598e+O1 1.453110e+O11.49582e+O1 1.456670e+011.49704e+O1 1.456570e+o11.49704e+O1 O.OOOOOOe+001.47169e+O1 1.436940e+O11.47028e+O1 1.434170e+O11.47169e+O1 1.436940e+O11.47169e+O1 O.OOOOOOe+001.44686e+O1 1.420730e+O11.44596e+01 1.416650e+O11.44460e+O1 1.411500e+o11.44122e+O1 1.408880e+O11.44243e+O1 1.415050e+O11.44514e+O1 1.420430e+o11.44686e+O1 1.420730e+O11.44686e+O1 O.OOOOOOe+001.45865e+O1 1.488890e+O11.45736e+O1 1.486580e+O11.45790e+O1 1.488770e+O11.45865e+O1 1.488890e+O11.45865e+O1 O.OOOOOOe+001.42154e+O1 1.470970e+o11.41743e+O1 1.466220e+011.41470e+O1 1.461390e+O11.41404e+O1 1.465450e+O11.41085e+O1 1.465430e+o11.41387e+O1 1.471160e+011.41919e+O1 1.474300e+o11.42559e+O1 1.473910e+O11.42110e+O1 1.471920e+O11.42154e+O1 1.470970e+O11.42154e+O1 O.OOOOOOe+001.41012e+O1 1.490910e+O11.40653e+O1 1.486210e+O11.40237e+O1 1.483110e+O11.39876e+O1 1.481300e+O11.40022e+O1 1.484780e+O11.40524e+O1 1.488340e+O11.40971e+O1 1.491390e+011.41012e+O1 1.490910e+O11.41012e+O1 O.OOOOOOe+001.41967e+O1 1.509790e+O11.41588e+O1 1.506760e+011.41570e+O1 1.509660e+O11.41967e+O1 1.509790e+O11.41967e+O1 O.OOOOOOe+00

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0

7.68238e+00 1.159780e+O17.70486e+00 1.154220e+017.67367e+00 1.159450e+O17.68238e+00 1.159780e+O17.68238e+00 O.OOOOOOe+007.72905e+00 1.172400e+017.76443e+00 1.166680e+O17.73150e+00 1.171100e+O17.72905e+00 1.172400e+017.72905e+00 O.OOOOOOe+007.49645e+00 1.174720e+O17.48615e+00 1.175090e+017.49645e+00 1.174720e+O17.49645e+00 O.OOOOOOe+007.49095e+00 1.198640e+O17.54890e+00 1.195720e+017.51286e+00 1.194490e+O17.48703e+00 1.198790e+O17.49095e+00 1.198640e+O17.49095e+00 O.OOOOOOe+007.43420e+00 1.199230e+017.44083e+00 1.195750e+O17.41083e+00 1.199760e+O17.43420e+00 1.199230e+O17.43420e+00 O.OOOOOOe+007.38933e+00 1.201620e+O17.38508e+00 1.202520e+O17.38933e+00 1.201620e+O17.38933e+00 O.OOOOOOe+008.36426e+00 1.572300e+O18.34439e+00 1.570320e+O18.34191e+00 1.565670e+018.35618e+00 1.563400e+O18.34717e+00 1.561290e+O18.33740e+00 1.566250e+O18.33855e+00 1.571240e+O18.36426e+00 1.572300e+O18.36426e+00 O.OOOOOOe+001.30409e+O1 1.528360e+O11.30555e+O1 1.523070e+O11.30793e+O1 1.520190e+O11.30685e+O1 1.518570e+O11.31255e+O1 1.515510e+O11.31300e+O1 1.513130e+O11.31197e+O1 1.509780e+O11.31040e+O1 1.514150e+O11.30965e+O1 1.515900e+O11.30366e+O1 1.515540e+O1

1.3011 le+O1 1.512080e+O11.30351e+O1 1.511480e+O11.30861e+O1 1.511080e+O11.31113e+O1 1.508250e+O11.31160e+O1 1.506350e+O11.30734e+O1 1.503690e+O11.30256e+O1 1.499980e+O11.29717e+O1 1.502560e+O11.29197e+O1 1.501390e+O11.29251e+O1 1.506350e+O11.29723e+O1 1.507890e+011.29616e+O1 1.511950e+O11.29842e+O1 1.514980e+O11.30239e+O1 1.518040e+O11.29968e+O1 1.518260e+O11.29537e+O1 1.514790e+O11.29424e+O1 1.519360e+O11.29826e+O1 1.517960e+O11.30023e+O1 1.521330e+O11.30418e+O1 1.522990e+O11.30169e+O1 1.528090e+O11.30409e+O1 1.528360e+O11.30409e+O1 O.OOOOOOe+009.10862e+00 1.551970e+O19.07253e+00 1.547330e+O19.06038e+00 1.542220e+O19.08020e+00 1.548920e+O19.10862e+00 1.551970e+O19.10862e+00 O.OOOOOOe+001.47041e+O1 1.364250e+O11.47158e+O1 1.358500e+O11.47201e+O1 1.351500e+O11.47106e+O1 1.345020e+O11.46876e+O1 1.339170e+O11.46669e+01 1.333170e+O11.46245e+O1 1.328890e+O11.45703e+O1 1.325460e+O11.45242e+O1 1.325990e+O11.44887e+O1 1.329370e+O11.44652e+O1 1.335540e+O11.44270e+O1 1.340450e+O11.44210e+O1 1.347480e+O11.44181e+O1 1.354400e+O11.43925e+O1 1.359400e+O11.43925e+O1 O.OOOOOOe+001.68120e+O1 9.644060e+001.68589e+O1 9.599290e+001.68589e+O1 9.527160e+00

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0

1.68353e+O1 9.504520e+001.67775e+O1 9.537080e+001.67426e+O1 9.565600e+001.67800e+O1 9.615540e+001.68117e+O1 9.645290e+001.68117e+O1 O.OOOOOOe+001.56020e+O1 1.045600e+011.56260e+O1 1.044560e+011.55924e+O1 1.042200e+O11.55577e+O1 1.041620e+O11.55491e+O1 1.045950e+O11.55818e+O1 1.042620e+O11.56031e+O1 1.046420e+O11.56020e+01 1.045560e+O11.56020e+O1 O.OOOOOOe+001.54699e+O1 1.075140e+O11.54706e+O1 1.068960e+O11.54813e+O1 1.067210e+O11.54613e+O1 1.066780e+O11.54522e+O1 1.070810e+O01.54522e+O1 1.074680e+O11.54681e+O1 1.075920e+O11.54704e+O1 1.075330e+O11.54704e+O1 O.OOOOOOe+001.47752e+O1 1.143950e+011.48271e+O1 1.142950e+011.48797e+O1 1.141510e+O11.49264e+O1 1.138460e+O11.48758e+O1 1.140730e+O11.48320e+O1 1.141930e+O11.47686e+O1 1.142700e+011.47605e+O1 1.143110e+O01.47760e+O1 1.143950e+011.4i760e+O1 O.OOOOOOe+001.56120e+O1 1.147340e+O11.56120e+01 1.143090e+O11.55970e+O1 1.139560e+O11.55861e+O1 1.141440e+011.55879e+O1 1.145880e+O11.55950e+O1 1.146000e+011.56115e+O1 1.146040e+011.56117e+O1 1.147360e+011.56117e+O1 O.OOOOOOe+001.45432e+O1 1.199110e+O11.45770e+O1 1.193440e+O11.46035e+O1 1.187680e+O11.46233e+O1 1.182160e+O11.46346e+O1 1.176040e+01

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1.46164e+01 1.172770e+011.46336e+01 1.177260e+01l.46066e+01 1.183460e+O11.45903e+01 1.181510e+O11.45920e+01 1.186400e+O11.45720e+O1 1.192580e+011.45382e+O1 1.198440e+011.45426e+01 1.199190e+O11.45426e+01 O.OOOOOOe+001.655250e+O1 1.450310e+O11.(55145e+O1 1.445190e+O11.(54761e+O1 1.440120e+O11.154787e+O1 1.435910e+O11.154989e+O1 1.435760e+O11.655130e+O1 1.434530e+O11.64986e+01 1.430990e+O11.65300e+01 1.427050e+O11.155023e+O1 1.422880e+O11.64628e+01 1.417870e+O11.64217e+01 1.413630e+O11.653678e+O1 1.411910e+O11.63070e+O1 1.408870e+O11.62354e+O1 1.409710e+O11.61589e+O1 1.408170e+O11.60970e+O1 1.405490e+011.60418e+O1 1.401940e+011.60334e+O1 1.401400e+O11.60334e+O1 O.OOOOOOe+001.60334e+O1 1.401400e+011.159803e+O1 1.397780e+O11.59054e+01 1.397720e+O11.59154e+O1 1.404050e+O11.'59491e+O1 1.409020e+011.,59846e+O1 1.414420e+011.60378e+O1 1.417990e+O11.60998e+O1 1.420890e+O11.61581e+O1 1.424150e+O11.62191e+O1 1.426970e+O11.62536e+O1 1.428370e+O11.62959e+O1 1.428190e+O11.63195e+O1 1.427900e+O11.63472e+O1 1.427330e+O11.6 3721e+O1 1.430090e+O11.63670e+O1 1.432400e+O11. 63427e+O1 1.431910e+O11.153164e+O1 1.434260e+O11.152850e+O1 1.432220e+O11.652426e+O1 1.429590e+O1

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1.62877e+O1 1.433390e+O11.63366e+O1 1.435800e+O11.63554e+O1 1.435370e+O11.63530e+O1 1.432930e+O11.63916e+O1 1.438000e+O11.64397e+O1 1.440930e+O11.64870e+O1 1.445190e+O11.65248e+O1 1.450290e+O11.65250e+O1 1.450310e+O11.65250e+O1 O.OOOOOOe+OO1.56006e+O1 1.368490e+O11.56449e+O1 1.373900e+O11.57131e+O1 1.376260e+O11.57928e+O1 1.376240e+O11.58706e+O1 1.377380e+O11.58524e+O1 1.377560e+O11.58357e+O1 1.379480e+O11.58781e+O1 1.384180e+O11.59366e+O1 1.387310e+O11.59989e+O1 1.389510e+O11.60613e+O1 1.391010e+O11.60586e+O1 1.394540e+O11.60802e+O1 1.396760e+O11.61008e+O1 1.391100e+O11.60730e+O1 1.385410e+O11.60352e+O1 1.380210e+O11.59974e+O1 1.374970e+O11.59778e+O1 1.372690e+O11.59778e+01 O.OOOOOOe+OO1.54230e+O1 1.378990e+O11.53905e+O1 1.384730e+O11.53647e+O1 1.391130e+O11.53402e+O1 1.397680e+O11.53012e+O1 1.402750e+O11.52428e+O1 1.401430e+O11.51915e+O1 1.397890e+O11.51849e+O1 1.392060e+O11.51453e+O1 1.388950e+O11.50973e+O1 1.392850e+O11.51152e+O1 1.398390e+O11.51474e+O1 1.402990e+O11.51660e+O1 1.407730e+O11.51715e+O1 1.414170e+O11.51586e+O1 1.421490e+O11.51210e+O1 1.426150e+O11.51450e+O1 1.428380e+O11.51117e+O1 1.433190e+O11.50503e+O1 1.435150e+O1

1.49822e+O1 1.435860e+O11.49280e+O1 1.439310e+O11.48644e+O1 1.440360e+O11.48065e+O1 1.439630e+O11.48065e+Ol O.OOOOOOe+OO1.48067e+O1 1.439580e+O11.47945e+O1 1.434140e+O11.48342e+O1 1.430090e+O11.47739e+O1 1.427330e+O11.47689e+O1 1.421010e+O11.47586e+O1 1.413390e+O01.47555e+O1 1.417350e+O11.47417e+O1 1.412740e+O11.47258e+O1 1.417280e+O11.47347e+O1 1.422980e+O11.47006e+01 1.418690e+O11.46651e+O1 1.414590e+O11.46436e+O1 1.409510e+Ol1.46347e+O1 1.403870e+O11.46281e+O1 1.396490e+O11.46055e+O1 1.390270e+O11.46319e+O1 1.384270e+O11.46272e+O1 1.377890e+O11.46589e+O1 1.372140e+O11.46758e+O1 1.369630e+O11.47040e+O1 1.364250e+O11.47040e+O1 O.OOOOOOe+OO1.43922e+O1 1.359390e+O11.43752e+O1 1.365420e+O11.43864e+O1 1.372990e+O11.43946e+O1 1.380050e+011.43912e+O1 1.387340e+O11.44088e+O1 1.393050e+O11.44080e+O1 1.400590e+O11.44250e+O1 1.407520e+O11.43797e+O1 1.407740e+O11.43523e+O1 1.402850e+O11.43041e+O1 1.399430e+O11.43164e+O1 1.406080e+O11.43506e+O1 1.411020e+O11.43681e+O1 1.417070e+O11.43967e+O1 1.423190e+O11.44178e+O1 1.429590e+O11.44401e+O1 1.435830e+O11.44511e+O1 1.432140e+O11.44826e+O1 1.435680e+O11.45262e+O1 1.436720e+O11.45025e+O1 1.431580e+O1

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1.45324e+O1 1.433810e+O11.45608e+O1 1.436230e+O11.45608e+O1 O.OOOOOOe+001.45609e+O1 1.436250e+O11.45995e+O1 1.441160e+O11.46579e+O1 1.442420e+O11.47067e+O1 1.446350e+O11.47716e+O1 1.446090e+011.48287e+O1 1.443030e+O11.48505e+O1 1.446010e+O11.48877e+O1 1.446770e+O11.49498e+O1 1.447930e+O11.49726e+O1 1.449850e+O11.49266e+O1 1.452650e+O11.49142e+O1 1.457000e+O11.48697e+O1 1.459580e+O11.48241e+O1 1.458790e+O11.47632e+O1 1.458040e+O11.47636e+O1 1.464900e+011.47079e+O1 1.463620e+O11.46464e+01 1.460950e+011.45768e+O1 1.459260e+O11.45605e+O1 1.459260e+011.45605e+O1 O.OOOOOOe+001.45606e+01 1.459280e+O11.45137e+O1 1.455130e+O11.44743e+O1 1.451770e+O11.44241e+O1 1.452770e+O11.43624e+O1 1.451430e+O11.43187e+O1 1.455530e+O11.42755e+O1 1.459100e+O11.42112e+O1 1.460300e+O11.41825e+O1 1.459050e+O11.41725e+O1 1.459020e+O11.41500e+O1 1.456110e+O11.41330e+O1 1.462200e+O11.40998e+O1 1.466780e+O11.40605e+O1 1.461830e+O11.40143e+O1 1.458200e+O11.39527e+O1 1.454850e+O11.38944e+O1 1.452140e+O11.38438e+O1 1.448400e+O11.38103e+O1 1.446500e+011.38103e+O1 O.OOOOOOe+001.38102e+O1 1.446520e+O11.37531e+O1 1.448530e+O11.37205e+O1 1.445870e+O11.37285e+O1 1.451250e+O1

1.37171e+O1 1.455270e+O11.36690e+O1 1.452360e+O11.36260e+01 1.450160e+011.35654e+O1 1.447520e+O11.35075e+O1 1.448190e+O11.35448e+O1 1.452770e+O11.35893e+O1 1.457150e+O11.36302e+O1 1.461790e+O11.36672e+O1 1.467030e+O11.37107e+O1 1.471510e+O11.37610e+O1 1.475280e+O11.38211e+O1 1.477930e+O11.38765e+O1 1.481140e+O11.39162e+O1 1.484710e+O11.39162e+O1 O.OOOOOOe+001.39160e+O1 1.484710e+O11.39498e+O1 1.487660e+O11.39675e+O1 1.493230e+O11.39853e+O1 1.498150e+O11.40402e+O1 1.500620e+O11.40191e+O1 1.494780e+O11.40518e+O1 1.497430e+O11.40711e+O1 1.502790e+O11.40755e+O1 1.508450e+O11.41003e+O1 1.504060e+O11.40751e+O1 1.499010e+O11.40931e+O1 1.501260e+O11.41148e+O1 1.502990e+O11.41421e+O1 1.505130e+O11.41131e+O1 1.510210e+O11.41370e+O1 1.512990e+O11.41865e+O1 1.512080e+O11.42338e+O1 1.510200e+O11.42944e+O1 1.509360e+O11.43415e+O1 1.510290e+O11.43914e+O1 1.510730e+O11.44296e+O1 1.510350e+O11.44465e+O1 1.508100e+O11.44465e+O1 O.OOOOOOe+001.44467e+01 1.508100e+O11.44808e+O1 1.502840e+011.45087e+O1 1.497170e+011.45535e+O1 1.493200e+O11.46262e+O1 1.492850e+O11.46908e+O1 1.495130e+O11.47226e+O1 1.493120e+O11.47188e+O1 1.487970e+O11.47500e+01 1.483920e+O1

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S

1.47996e+O1 1.480360e+O11.47903e+O1 1.474740e+O11.48093e+O1 1.470670e+O11.48589e+O1 1.470490e+011.48361e+O1 1.466510e+O11.48608e+O1 1.464800e+O11.48537e+O1 1.459570e+O11.49046e+O1 1.461830e+O11.49325e+O1 1.457710e+O11.49927e+O1 1.457100e+O11.50277e+O1 1.457490e+O11.50277e+O1 O.OOOOOOe+001.50275e+O1 1.457490e+O11.51011e+O1 1.456770e+O11.51653e+O1 1.457770e+O11.52018e+O1 1.458190e+O11.52590e+O1 1.459880e+O11.52979e+O1 1.459460e+O11.53686e+O1 1.460210e+O11.53787e+O1 1.460880e+O11.53776e+O1 1.458220e+O11.53926e+O1 1.458430e+O11.54077e+O1 1.458680e+O11.54576e+O1 1.458620e+011.54749e+O1 1.459960e+011.55207e+O1 1.459910e+O11.55611e+O1 1.458420e+O11.55897e+O1 1.454650e+O11.56274e+O1 1.453610e+O11.56521e+O1 1.448910e+O11.56807e+O1 1.447840e+O11.57140e+O1 1.448400e+O11.57249e+O1 1.445000e+O11.57382e+O1 1.441770e+O11.57826e+O1 1.438550e+O11.58040e+O1 1.438470e+O11.58205e+O1 1.435630e+O11.58205e+O1 O.OOOOOOe+001.58205e+O1 1.435630e+O11.57662e+O1 1.435710e+O11.57373e+O1 1.433830e+O11.57725e+O1 1.428780e+O11.57169e+O1 1.426920e+O11.56538e+O1 1.429090e+011.56080e+O1 1.427110e+O11.55922e+O1 1.430910e+O11.55652e+O1 1.430620e+O11.55583e+O1 1.434060e+O1

0

1.55281e+O1 1.434140e+O11.54970e+O1 1.437920e+O11.54588e+O0 1.439560e+O11.54302e+O1 1.437850e+O11.54751e+O1 1.434870e+O11.55060e+O1 1.431420e+O11.55321e+O1 1.426280e+O11.55259e+O1 1.419550e+O11.55017e+O1 1.413720e+O11.54932e+O1 1.407130e+O11.55115e+O1 1.399970e+O11.55321e+O1 1.393000e+O11.55055e+O1 1.386810e+O11.54679e+O1 1.381560e+O11.54248e+O1 1.378880e+O11.54248e+O1 O.OOOOOOe+001.16063e+01 1.486710e+O11.16645e+01 1.483440e+O11.16659e+01 1.478600e+O11.17064e+O1 1.476510e+O11.17186e+O1 1.479900e+O11.17250e+01 1.476050e+011.17302e+01 1.473420e+O11.17622e+O1 1.469540e+011.18277e+O1 1.468510e+O11.18794e+01 1.469940e+011.19178e+O1 1.468210e+O11.18654e+O1 1.467060e+O11.18046e+O1 1.466870e+O11.17596e+O1 1.468280e+O11.17091e+01 1.470480e+O11.17032e+O1 1.470960e+O11.16993e+01 1.474660e+O11.16581e+O1 1.478780e+O11.16517e+O1 1.483320e+O11.16043e+01 1.485280e+O11.16043e+O1 O.OOOOOOe+001.53389e+O1 1.356030e+O11.53896e+O1 1.359250e+O11.54588e+O1 1.361380e+O11.54359e+O1 1.365330e+O11.54051e+O1 1.368960e+O11.53785e+O1 1.365960e+O11.53621e+O1 1.359910e+O11.53304e+O1 1.354130e+O11.53313e+O1 1.352730e+O11.53313e+O1 O.OOOOOOe+001.59778e+O1 1.372690e+O1

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1.59343e+O1 1.368730e+O11.59178e+O1 1.368170e+O11.58854e+O1 1.364000e+O11.58389e+O1 1.360430e+O11.57870e+O1 1.356950e+O11.57407e+O1 1.353430e+O11.56975e+O1 1.349540e+O11.56637e+O1 1.344640e+O11.56140e+O1 1.342010e+O11.55549e+O1 1.339880e+O11.55069e+O1 1.336800e+O11.54705e+O1 1.337750e+O11.54338e+O1 1.337030e+O11.53966e+O1 1.336340e+O11.54548e+O1 1.338880e+O11.54224e+01 1.338930e+O11.53613e+O1 1.339990e+O11.53016e+O1 1.341050e+O11.53085e+O1 1.345630e+O11.53313e+O1 1.349860e+O11.53313e+O1 1.352710e+O11.53313e+O1 O.OOOOOOe+OO1.53389e+O1 1.356030e+O11.53650e+O1 1.350980e+O11.54237e+O1 1.352210e+O11.54722e+O1 1.350370e+O11.54867e+O1 1.356590e+O11.55318e+O1 1.360610e+O11.55728e+O1 1.362840e+O11.55829e+O1 1.366180e+O11.56006e+O1 1.368490e+O11.56006e+O1 O.OOOOOOe+OO1.61463e+O1 1.525080e+O11.61209e+O1 1.520690e+O11.61370e+O1 1.520110e+011.61779e+O1 1.519240e+O11.61828e+O1 1.515520e+O11.62001e+O1 1.511090e+O11.62160e+O1 1.509290e+O11.61719e+O1 1.512500e+O11.61682e+O1 1.511610e+O11.61380e+O1 1.516210e+O11.61186e+O1 1.518250e+Ol1.61241e+O1 1.521610e+O11.61463e+O1 1.525080e+O11.61463e+O1 O.OOOOOOe+OO1.37537e+O1 1.361640e+O11.37577e+O1 1.356160e+O1

1.37667e+O1 1.359020e+O11.37537e+O1 1.361640e+O11.37537e+O1 O.OOOOOOe+OO1,.37279e+O1 1.366240e+O11.37279e+O1 1.366240e+O11.37279e+O1 O.OOOOOOe+OO1.37:316e+o1 1.370560e+O11 37260e+O1 1.370970e+O11 37:316e+O1 1.370560e+O11.37316e+O1 O.OOOOOOe+OO1.37129e+O1 1.376100e+O11.37091e+O1 1.374540e+O11.37129e+O1 1.376100e+O11.37129e+O1 O.OOOOOOe+OO1,34657e+O1 1.391800e+O11.35213e+O1 1.389020e+O11.35125e+O1 1.389190e+O11.34599e+O1 1.392120e+O11.34657e+O1 1.391800e+O11 .34657e+O1 O.OOOOOOe+OO1.31189e+O1 1.465590e+O11.31311e+O1 1.462660e+O11.31100e+O1 1.464460e+O11.31189e+O1 1.465590e+O11.31189e+O1 O.OOOOOOe+OO1.30660e+O1 1.464240e+011.30592e+O1 1.463890e+O11.30660e+O1 1.464240e+O11.30660e+O1 O.OOOOOOe+OO1.30105e+O1 1.465890e+O11 30105e+O1 1.465890e+O11.30105e+O1 O.OOOOOOe+OO1.30010e+O1 1.462020e+O11.30010e+O1 1.462020e+O11.30010e+O1 O.OOOOOOe+OO1 .21928e+O1 1.372920e+O11..21799e+O1 1.367270e+O11 21982e+O1 1.362500e+O11.22324e+01 1.357990e+O11 22776e+01 1.353500e+O11 23271e+O1 1.350000e+011.22947e+O1 1.350960e+O11.22510e+O1 1.354720e+O11..22067e+O1 1.359280e+O11,.21823e+O1 1.364880e+O11.21864e+O1 1.368970e+O01,21928e+O1 1.372920e+O11.21928e+01 O.OOOOOOe+OO

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1.19803e+O1 1.444980e+O11.19986e+O1 1.439180e+O11.19943e+O1 1.432380e+O11.20009e+O1 1.426910e+O11.20300e+O1 1.423590e+O11.20224e+O1 1.417890e+O11.20324e+O1 1.413200e+O11.20396e+O1 1.407080e+O11.20320e+O1 1.401310e+O11.20063e+O1 1.397240e+O11.19583e+O1 1.395810e+O11.19672e+01 1.390370e+O11.19736e+01 1.388090e+O11.19779e+01 1.386660e+O11.19609e+01 1.389510e+O11.19437e+01 1.394660e+O11.18872e+01 1.394410e+O11.18785e+O1 1.395580e+O11.19186e+O1 1.397250e+O11.19442e+O1 1.398250e+O11.19804e+01 1.397660e+O11.19984e+01 1.401020e+011.20223e+O1 1.404700e+O11.20124e+O1 1.410300e+O11.19618e+01 1.410280e+O11.20219e+O1 1.410320e+O11.19979e+01 1.414880e+O11.19811e+O1 1.418920e+O11.20253e+O1 1.418830e+O11.20029e+O1 1.424430e+O11.19761e+O1 1.430160e+O11.19969e+O1 1.435430e+O11.19944e+01 1.441990e+O11.19654e+01 1.445690e+011.19803e+01 1.444980e+O11.19803e+O1 O.OOOOOOe+001.16043e+O1 1.485270e+O11.15450e+01 1.483530e+O11.15059e+01 1.485830e+O11.14650e+01 1.485450e+O11.15134e+O1 1.485710e+O11.15611e+O1 1.484680e+O11.16061e+O1 1.486710e+O11.16061e+01 O.OOOOOOe+009.79688e+00 1.240190e+O19.77392e+00 1.235770e+O19.72565e+00 1.232120e+O19.69881e+00 1.227770e+O1

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7.67511e+00 1.385180e+O17.65555e+00 1.385850e+O17.64312e+00 1.387840e+O17.67240e+00 1.388150e+O17.68440e+00 1.388410e+O17.68440e+00 O.OOOOOOe+009.95269e+00 1.384600e+O19.94782e+00 1.382720e+O19.95269e+00 1.384600e+O19.95269e+00 O.OOOOOOe+009.64640e+00 1.384650e+O19.62800e+00 1.380580e+O19.61033e+00 1.381400e+O19.64640e+00 1.384650e+O19.64640e+00 O.OOOOOOe+009.48957e+00 1.378820e+O19.48957e+00 1.378820e+O19.48957e+00 O.OOOOOOe+008.75723e+00 1.495790e+O18.74904e+00 1.496310e+O18.75723e+00 1.495790e+O18.75723e+00 O.OOOOOOe+001.02834e+O1 1.104940e+011.02693e+O1 1.102180e+O11.02834e+O1 1.104940e+011.02834e+O1 O.OOOOOOe+001.02486e+O1 1.098610e+O11.02349e+O1 1.095710e+O01.02486e+O1 1.098610e+O11.02486e+O1 O.OOOOOOe+001.08359e+O1 1.284660e+O11.08359e+O1 1.284660e+011.08359e+O1 O.OOOOOOe+009.54063e+00 1.349470e+O19.55007e+00 1.343350e+O19.56778e+00 1.337510e+O19.61060e+00 1.333910e+O19.63373e+00 1.328370e+O19.62167e+00 1.329780e+O19.60031e+00 1.328180e+O19.57907e+00 1.323160e+O19.55126e+00 1.326750e+O19.54176e+00 1.333310e+O19.50383e+00 1.333480e+O19.49897e+00 1.340250e+O19.49469e+00 1.346560e+O19.54247e+00 1.349690e+019.54063e+00 1.349470e+O1

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0

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9.18650e+00 9.494340e+009.17286e+00 9.536300e+009.15571e+00 9.592390e+009.15951e+00 9.628970e+009.17189e+00 9.670510e+009.16260e+00 9.687160e+009.11932e+00 9.719470e+009.09500e+00 9.693960e+009.05878e+00 9.729860e+009.01926e+00 9.778070e+008.99468e+00 9.844500e+008.96269e+00 9.890820e+008.92577e+00 9.950310e+008.89508e+00 1.OOOOOOe+018.88892e+00 1.003250e+018.85702e+00 1.008910e+018.86261e+00 1.015820e+018.82461e+00 1.018920e+O18.82733e+00 1.025750e+018.80121e+00 1.031840e+018.77650e+00 1.037410e+018.79241e+00 1.045490e+018.78173e+00 1.051290e+018.75723e+00 1.057780e+018.75135e+00 1.064990e+O18.77020e+00 1.071080e+O18.78648e+00 1.073950e+018.75748e+00 1.076690e+018.72406e+00 1.078180e+018.66410e+00 1.082090e+018.66393e+00 1.082160e+018.66393e+00 O.OOOOOOe+008.66393e+00 1.082160e+O18.65427e+00 1.088060e+O18.60841e+00 1.092750e+018.58350e+00 1.088520e+018.52226e+00 1.092610e+018.48039e+00 1.098070e+018.42655e+00 1.102350e+018.38634e+00 1.107730e+018.4161 1e+00 1.102070e+018.40235e+00 1.096000e+018.37023e+00 1.088090e+O18.36026e+00 1.080720e+018.37822e+00 1.074080e+O18.36729e+00 1.066270e+018.34810e+00 1.058910e+018.34877e+00 1.051970e+01

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9.02161e+00 8.225850e+009.01441e+00 8.306300e+008.99574e+00 8.378160e+008.97091e+00 8.448170e+008.90921e+00 8.496920e+008.87197e+00 8.560070e+008.83165e+00 8.620890e+008.77802e+00 8.671450e+008.72393e+00 8.721530e+008.72035e+00 8.738940e+008.68902e+00 8.804050e+008.64700e+00 8.792660e+008.63 111e+00 8.866420e+008.61585e+00 8.898470e+008.60616e+00 8.896610e+008.59010e+00 8.891010e+008.60324e+00 8.948570e+008.58211e+00 8.943860e+008.61533e+00 9.012430e+008.64034e+00 9.081100e+008.65333e+00 9.150680e+008.64327e+00 9.132580e+008.64607e+00 9.211430e+008.62314e+00 9.277110e+008.62314e+00 0.OOOOOOe+008.62314e+00 9.277110e+008.60565e+00 9.340880e+008.55141e+00 9.366040e+008.51440e+00 9.413800e+008.47142e+00 9.469590e+008.43323e+00 9.508250e+008.47225e+00 9.562880e+008.43666e+00 9.539700e+008.40327e+00 9.544820e+008.36301e+00 9.548940e+008.31366e+00 9.578640e+008.27713e+00 9.637800e+008.23613e+00 9.684800e+008.17549e+00 9.721740e+008.16164e+00 9.786060e+008.11525e+00 9.841190e+008.09050e+00 9.898230e+008.06131e+00 9.940130e+008.11273e+00 9.929250e+008.18230e+00 9.894630e+008.23698e+00 9.900510e+008.27715e+00 9.848940e+008.30514e+00 9.857550e+00

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1.76357e+O1 9.164050e+001.76343e+O1 9.231450e+001.76149e+O1 9.264540e+001.76149e+O1 O.OOOOOOe+001.78069e+O1 9.279730e+001.78606e+O1 9.285590e+001.77978e+O1 9.261220e+001.78069e+O1 9.279730e+001.78069e+O1 O.OOOOOOe+001.79598e+O1 9.481460e+001.80074e+O1 9.459290e+001.80809e+O1 9.449650e+001.81426e+O1 9.418500e+001.81694e+O1 9.350900e+001.81905e+O1 9.272140e+001.81283e+O1 9.308310e+001.81609e+O1 9.331370e+001.81480e+O1 9.404820e+001.80853e+O1 9.440080e+001.80115e+O1 9.452770e+001.79636e+O1 9.461740e+001.79598e+O1 9.481460e+001.79598e+O1 O.OOOOOOe+001.75371e+O1 9.760110e+001.76149e+O1 9.786240e+001.76788e+O1 9.769380e+001.77203e+O1 9.743530e+001.77916e+O1 9.725570e+001.78230e+O1 9.666300e+001.77947e+O1 9.616010e+001.78106e+O1 9.532910e+001.77542e+O1 9.559950e+001.77752e+O1 9.617580e+001.77583e+O1 9.681060e+001.77391e+O1 9.726400e+001.76807e+O1 9.753930e+001.76181e+O1 9.773100e+001.75421e+O1 9.759540e+001.75371e+O1 9.760110e+001.75371e+O1 O.OOOOOOe+001.73003e+O1 9.626450e+001.73700e+O1 9.615410e+001.73853e+O1 9.668400e+001.74360e+O1 9.672660e+001.75076e+O1 9.692570e+001.75591e+O1 9.714530e+001.75177e+O1 9.676050e+001.74429e+O1 9.638880e+00

1.,13862e+O1 9.592970e+001.73183e+01 9.613310e+001.,13003e+O1 9.626450e+001.73003e+01 O.OOOOOOe+009.44178e+00 8.906970e+009.48392e+00 8.883010e+009.44178e+00 8.906970e+009.44178e+00 O.OOOOOOe+008.97661e+00 8.894740e+009.00941e+00 8.830410e+008.97160e+00 8.879520e+008.97661e+00 8.894740e+008.97661e+00 O.OOOOOOe+008.92212e+00 9.199610e+008.9'1811e+00 9.179060e+008.89040e+00 9.145960e+008.92212e+00 9.199610e+008.92212e+00 O.OOOOOOe+008.80119e+00 1.015820e+O18.84247e+00 1.013790e+O18.83250e+00 1.006580e+O18.'78952e+00 1.003740e+O18.'75891e+00 1.008380e+O18.'79257e+00 1.015260e+O18.80119e+00 1.015820e+O18.80119e+00 O.OOOOOOe+008.'72868e+00 1.003700e+O18.'72868e+00 1.003700e+O18.'72868e+00 O.OOOOOOe+008.65640e+00 1.004210e+O18.66476e+00 1.002790e+O18.65640e+00 1.004210e+O18.65640e+00 O.OOOOOOe+008.54893e+00 1.033490e+O18.58753e+00 1.028860e+O18.61328e+00 1.023440e+O18.61759e+00 1.016760e+O18.58830e+00 1.018970e+O18.55312e+00 1.024950e+O18.54746e+00 1.031450e+O18.54893e+00 1.033490e+O18.54893e+00 O.OOOOOOe+008.452,57e+00 1.097630e+O18.43917e+00 1.100860e+018.45257e+00 1.097630e+O18.45257e+00 O.OOOOOOe+007.'36273e+00 1.049170e+O17.'38935e+00 1.052490e+O1

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0

7.36518e+00 1.056680e+O17.36428e+00 1.049860e+O17.36273e+00 1.049170e+017.36273e+00 O.OOOOOOe+008.02727e+00 1.002770e+O18.06424e+00 1.005510e+O18.04269e+00 1.009930e+018.00681e+00 1.004310e+O18.02727e+00 1.002770e+018.02727e+00 O.OOOOOOe+008.61328e+00 9.033890e+008.58580e+00 8.956160e+008.57262e+00 8.882710e+008.58695e+00 8.814640e+008.56552e+00 8.864850e+008.53967e+00 8.911710e+008.58563e+00 8.977470e+008.61328e+00 9.033890e+008.61328e+00 O.OOOOOOe+001.15910e+01 9.814690e+001.15635e+O1 9.824970e+001.15709e+01 9.846390e+001.15915e+O1 9.853210e+001.16190e+01 9.816550e+001.16524e+01 9.848360e+001.16564e+O1 9.813370e+001.16031e+01 9.810650e+001.15910e+01 9.814690e+001.15910e+01 O.OOOOOOe+001.20729e+01 8.948420e+001.20501e+01 8.980900e+001.20314e+O1 9.026190e+001.20164e+01 9.021460e+001.20108e+O1 9.072640e+001.20194e+O1 9.065290e+001.20622e+O1 9.060880e+001.20598e+01 9.011030e+001.20908e+01 9.004010e+001.20688e+O1 8.963890e+001.20729e+01 8.948420e+001.20729e+01 O.OOOOOOe+001.25195e+O1 8.607160e+001.25115e+01 8.545280e+001.24910e+O1 8.500220e+001.24758e+01 8.425060e+001.24549e+01 8.338000e+001.24402e+01 8.247860e+001.24330e+01 8.155330e+00

1.24285e+01 8.182160e+001.24321e+01 8.223290e+001.24396e+01 8.303830e+001.24108e+01 8.330670e+001.24318e+01 8.334210e+o01.24546e+01 8.389860e+001.24475e+01 8.422460e+001.24657e+01 8.462660e+001.24446e+01 8.491390e+001.24322e+01 8.557990e+001.24524e+01 8.584320e+001.24869e+01 8.573910e+001.24958e+01 8.608150e+001.25195e+01 8.607160e+001.25195e+01 0.OOOOOOe+008.03554e+00 1.589630e+018.09886e+00 1.582800e+018.16555e+00 1.576710e+018.24845e+00 1.573980e+018.28473e+00 1.581530e+018.33839e+00 1.585950e+018.31210e+00 1.591440e+018.31210e+00 0.OOOOOOe+001.29456e+01 1.512950e+011.29999e+01 1.511570e+011.30097e+01 1.506640e+011.30260e+01 1.500740e+011.30253e+01 1.500050e+011.30253e+01 0.OOOOOOe+001.32563e+01 1.494530e+O11.32156e+01 1.492260e+011.31751e+01 1.494380e+011.31137e+01 1.494910e+O11.30683e+01 1.495840e+011.30243e+01 1.499590e+011.30252e+01 1.500010e+011.30252e+01 0.OOOOOOe+001.32563e+01 1.494530e+011.33110e+01 1.495230e+011.33651e+01 1.493600e+o11.33698e+01 1.491560e+011.34095e+01 1.490870e+011.34211e+01 1.487860e+011.34461e+01 1.486590e+011.34686e+01 1.489440e+011.35026e+O1 1.486590e+011.35482e+01 1.484890e+011.35903e+01 1.482710e+01

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1.35951e+O1 1.482450e+O11.35951e+O1 O.OOOOOOe+OO1.36614e+O1 1.486720e+O11.36146e+O1 1.483200e+O11.35953e+O1 1.482430e+O11.35953e+O1 O.OOOOOOe+OO1.36614e+O1 1.486720e+O11.36950e+O1 1.487520e+O11.36950e+O1 O.OOOOOOe+OO1.37738e+O1 1.485390e+O11.37395e+O1 1.485490e+O11.37018e+O1 1.486540e+O11.36950e+O1 1.487520e+O11.36950e+O1 O.OOOOOOe+OO8.31210e+00 1.591440e+O18.56813e+00 1.580870e+O18.83118e+00 1.570790e+019.09647e+00 1.561390e+O19.36408e+00 1.552670e+O19.63396e+00 1.544630e+O19.90573e+00 1.537290e+O11.01793e+O1 1.530650e+O11.04545e+O1 1.524710e+O11.07311e+O1 1.519470e+O11.10090e+01 1.514960e+O11.12880e+O1 1.511130e+O11.15678e+O1 1.508050e+O11.18483e+O1 1.505660e+O11.21293e+O1 1.504020e+O11.24108e+O1 1.503080e+O11.26924e+O1 1.502860e+O11.29481e+O1 1.503280e+O11.29481e+O1 O.OOOOOOe+OO1.29481e+O1 1.503280e+O11.29456e+O1 1.512950e+O11.29456e+O1 O.OOOOOOe+OO1.39159e+O1 1.484480e+O11.39982e+O1 1.487780e+O11.40856e+O1 1.493840e+O11.41727e+O1 1.492600e+O11.42596e+O1 1.489080e+O11.43468e+O1 1.485600e+O11.44342e+O1 1.482120e+O11.45217e+O1 1.478690e+O11.46094e+01 1.475260e+O11.46973e+O1 1.471850e+O11.47799e+O1 1.467930e+O11.48024e+O1 1.462760e+01

1.48024e+O1 O.OOOOOOe+OO1.48024e+O1 1.462760e+O11.487:37e+O1 1.460320e+O11.49226e+01 1.460380e+011.49443e+O1 1.454110e+O11.49867e+O1 1.451860e+O11.'50494e+01 1.452490e+O11.50519e+01 1.445880e+O11.50519e+01 O.OOOOOOe+OO1.50519e+O1 1.445900e+011.51410e+01 1.442610e+O11.52303e+01 1.439340e+O11.52878e+01 1.432690e+O11.53243e+O1 1.423800e+O11.'53610e+O1 1.414900e+O11.53975e+O1 1.406000e+O11.'54343e+O1 1.397100e+O11.54360e+O1 1.388230e+O11.54242e+O1 1.379260e+O11.'54237e+O1 1.378880e+O01.54237e+O1 O.OOOOOOe+OO1.'54065e+O1 1.365930e+O11.'53704e+O1 1.360470e+O11.53342e+O1 1.355110e+O11.53598e+O1 1.347280e+O11.54480e+O1 1.343460e+O11.55373e+01 1.348060e+O11.56274e+O1 1.357180e+O11.57169e+O1 1.364960e+O11.58074e+O1 1.369170e+O11.58973e+O1 1.373680e+O11.59864e+01 1.381740e+O11.60755e+O1 1.389990e+O11.60852e+O1 1.393110e+O11.60852e+O1 O.OOOOOOe+OO1.60329e+O1 1.401330e+O11.60407e+O1 1.409590e+011.61299e+O1 1.414150e+O11.62194e+01 1.416840e+O11.63088e+O1 1.419530e+O11.63982e+O1 1.422270e+O11.64326e+O1 1.429750e+O11.64469e+O1 1.436770e+O11.64469e+O1 O.OOOOOOe+OO1.64469e+O1 1.436770e+O11.64971e+O1 1.445220e+O11.65299e+O1 1.450590e+011.65577e+O1 1.456630e+O1

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0

1.65882e+O1 1.462170e+O11.66269e+O1 1.467010e+O11.66807e+O1 1.469640e+011.66807e+O1 O.OOOOOOe+001.66809e+O1 1.469640e+011.67675e+O1 1.472430e+O11.68552e+O1 1.475980e+O11.69430e+O1 1.479580e+O11.70294e+O1 1.483050e+O11.71162e+O1 1.486480e+O11.72026e+O1 1.490020e+O11.72284e+O1 1.491110e+O11.72284e+O1 O.OOOOOOe+001.72286e+O1 1.491110e+O11.72187e+O1 1.497180e+O11.72655e+O1 1.500260e+O11.73056e+O1 1.501100e+011.73086e+O1 1.506200e+O11.73085e+O1 1.508800e+O11.73317e+O1 1.514880e+O11.73445e+O1 1.520530e+O11.73232e+O1 1.525570e+O11.73251e+O1 1.526330e+O11.73251e+O1 O.OOOOOOe+001.73256e+O1 1.535320e+O01.73097e+O1 1.544080e+O11.73264e+O1 1.553100e+O11.73428e+O1 1.562110e+011.73491e+O1 1.565540e+011.73491e+O1 O.OOOOOOe+001.76218e+O1 1.566900e+011.76646e+O1 1.558310e+O11.77076e+O1 1.549710e+O11.77504e+O1 1.541110e+O11.77707e+O1 1.535570e+O11.78297e+O1 1.534770e+O11.78477e+O1 1.535320e+O11.78477e+O1 O.OOOOOOe+001.79302e+O1 1.527490e+011.79832e+O1 1.524300e+O11.80234e+O1 1.520060e+O11.80234e+01 O.OOOOOOe+001.37747e+O1 1.485420e+O11.38382e+O1 1.485150e+O11.38932e+O1 1.484480e+O11.39157e+O1 1.484520e+O11.39157e+O1 O.OOOOOOe+001.54239e+O1 1.378810e+O1

1.54289e+O1 1.371690e+O11.54072e+O1 1.366050e+011.54072e+O1 O.OOOOOOe+001.60852e+O1 1.393090e+O11.60444e+O1 1.396960e+O11.60444e+O1 O.OOOOOOe+001.73256e+O1 1.526260e+O11.73114e+O1 1.532230e+O11.73258e+O1 1.535290e+O11.73258e+O1 O.OOOOOOe+001.73490e+O1 1.565580e+O11.73964e+O1 1.562710e+O11.74338e+O1 1.561400e+O11.74338e+O1 O.OOOOOOe+001.74345e+O1 1.561440e+O11.74750e+O1 1.566220e+o11.75176e+O1 1.570030e+O11.75839e+O1 1.568230e+O11.76220e+01 1.566920e+O11.76220e+O1 O.OOOOOOe+001.78485e+O1 1.535400e+O11.78733e+O1 1.530650e+O11.79088e+O1 1.525780e+O11.79316e+O1 1.527580e+O11.79316e+O1 O.OOOOOOe+001.60329e+O1 1.401330e+O11.60444e+O1 1.396980e+O11.60444e+O1 O.OOOOOOe+001.03639e+O1 1.059880e+O11.04096e+O1 1.055150e+O11.04388e+O1 1.049010e+o11.04932e+O1 1.044520e+O11.05361e+O1 1.039200e+O11.05755e+O1 1.033880e+O11.06240e+O1 1.028890e+O11.06723e+O1 1.024820e+O11.07108e+O1 1.019210e+O11.07290e+O1 1.012450e+O11.07401e+O1 1.006190e+O11.07513e+O1 9.991210e+001.07909e+O1 9.913450e+001.08443e+O1 9.870920e+001.08987e+O1 9.823680e+001.09573e+O1 9.783580e+001. 10I l5e+01 9.745740e+001.10656e+01 9.718950e+001.11224e+01 9.743030e+001.11638e+O1 9.782450e+00

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1.11884e+O1 9.842650e+001.12227e+01 9.900020e+001.12745e+01 9.925150e+001.13320e+01 9.946160e+001.13973e+O1 9.922380e+001.14583e+O1 9.913280e+001.15136e+01 9.901490e+001.15536e+O1 9.869420e+001.15654e+01 9.860230e+001.15654e+01 O.OOOOOOe+001.15654e+O1 9.860230e+001.16113e+O1 9.814810e+001.16298e+01 9.805240e+001.16298e+O1 O.OOOOOOe+001.16298e+O1 9.805240e+001.16734e+O1 9.752950e+001.17166e+01 9.700430e+001.17371e+O1 9.631440e+001.17646e+01 9.566690e+001.17873e+O1 9.512940e+001.18118e+01 9.446970e+001.18612e+O1 9.398270e+001.18979e+01 9.343490e+001.19320e+O1 9.287710e+001.19856e+O1 9.252490e+001.19903e+O1 9.179420e+001.20007e+O1 9.113020e+001.19965e+O1 9.093300e+001.19965e+O1 O.OOOOOOe+001.19965e+01 9.093300e+001.20401e+O1 9.038670e+001.20643e+O1 8.973360e+001.20662e+O1 8.949940e+001.20662e+O1 O.OOOOOOe+001.20662e+O1 8.949940e+001.21011e+01 8.903850e+001.21583e+O1 8.888510e+001.22037e+O1 8.851790e+001.22631e+O1 8.839580e+001.23161e+O1 8.801240e+001.23762e+O1 8.794530e+001.24489e+O1 8.785030e+001.25026e+O1 8.744770e+001.25426e+O1 8.748500e+001.25992e+O1 8.765730e+001.25992e+O1 O.OOOOOOe+007.95674e+00 1.137260e+O18.18721e+00 1.132400e+O1

8.42104e+00 1.127710e+O18.51462e+00 1.125890e+O18.5'1462e+00 O.OOOOOOe+008.51462e+00 1.125890e+O18.47787e+00 1.120710e+O18.47787e+00 O.OOOOOOe+008.47787e+00 1.120710e+O18.68282e+00 1.106500e+O18.88967e+00 1.092420e+O19.09831e+00 1.078470e+O19.27086e+00 1.067110e+O19.27086e+00 O.OOOOOOe+009.27086e+00 1.067110e+O19.66504e+00 1.058990e+O19.94315e+00 1.053900e+O19.94315e+00 O.OOOOOOe+009.94315e+00 1.053900e+O19.96475e+00 1.066360e+O19.96475e+00 O.OOOOOOe+009.96475e+00 1.066360e+O11.03572e+O1 1.060040e+O11.03639e+01 1.059880e+O11.03639e+01 O.OOOOOOe+00

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OLD fILE: USMAP

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0

summa version 3 compiled 9-22-81digitized contours of us map.digitized s 10/22/82 10:10:24acceptance band (in bits) = 2x y savy1.26708e+01 9.736445e+001.26886e+01 9.743260e+001.27037e+01 9.741879e+001.27147e+01 9.736403e+001.27581e+01 9.814252e+001.27822e+01 9.913983e+001.27582e+01 1.003426e+011.27302e+01 1.014770e+011.27432e+01 1.026521e+011.28016e+01 1.036764e+011.28328e+01 1.041680e+011.28846e+01 1.046322e+011.29366e+O1 1.048776e+011.28772e+01 1.056161e+011.29404e+01 1.053969e+011.29568e+01 1.055197e+011.29718e+01 1.056015e+011.29938e+01 1.054647e+011.30308e+01 1.056420e+011.30458e+01 1.056418e+011.30117e+01 1.053688e+011.29571e+01 1.050141e+011.29749e+01 1.050412e+011.30582e+01 1.055187e+011.30924e+01 1.057507e+011.31443e+01 1.061055e+011.31852e+01 1.064057e+011.31851e+01 1.066107e+011.32451e+01 1.072524e+011.32257e+01 1.075532e+011.32186e+01 1.079085e+011.32392e+01 1.079493e+011.32609e+01 1.082634e+011.32787e+01 1.083179e+011.32898e+01 1.081128e+011.32750e+01 1.076484e+011.32915e+01 1.076209e+011.32288e+01 1.068699e+011.32985e+01 1.073748e+011.33695e+01 1.077978e+011.34407e+01 1.080431e+011.34309e+01 1.083984e+011.34584e+01 1.081249e+01

1.35338e+01 1.082881e+011.36024e+01 1.081782e+011.37149e+01 1.079175e+011.37562e+01 1.077667e+011.38000e+01 1.078620e+011.38108e+01 1.080259e+011.37889e+01 1.080944e+011.37982e+01 1.084906e+011.38379e+01 1.085722e+011.38436e+01 1.082988e+011.38819e+01 1.083805e+011.39879e+01 1.076006e+011.39675e+01 1.073548e+011.39978e+01 1.071768e+011.40307e+01 1.071902e+011.40568e+01 1.070123e+011.40993e+01 1.070256e+011.41143e+01 1.071621e+011.41087e+01 1.074491e+011.41607e+01 1.075442e+011.41760e+01 1.072571e+011.41925e+01 1.070930e+011.42184e+01 1.072977e+011.42101e+01 1.074754e+011.42197e+01 1.075847e+011.42167e+01 1.079400e+011.42537e+01 1.079533e+011.42690e+01 1.076115e+011.43307e+01 1.075426e+011.43501e+01 1.072828e+011.43666e+01 1.071733e+011.43599e+01 1.069411e+011.43776e+01 1.070912e+011.43927e+01 1.070911e+011.44186e+01 1.072685e+011.44185e+01 1.075144e+011.43909e+01 1.077197e+011.43333e+01 1.078842e+011.42961e+01 1.081852e+011.43028e+01 1.084721e+011.43260e+01 1.085675e+011.43696e+01 1.091137e+011.43463e+01 1.090593e+011.43228e+01 1.093191e+011.43064e+01 1.093330e+011.42901e+01 1.090052e+011.42737e+01 1.090463e+011.42668e+01 1.089780e+01

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I

1.42462e+O1 1.091286e+O11.42775e+O1 1.094562e+O11.42542e+O1 1.095384e+O11.42173e+O1 1.093201e+O11.41762e+O1 1.092385e+O11.41350e+O1 1.093483e+O11.41730e+O1 1.100175e+O11.42609e+O1 1.096750e+O11.42829e+O1 1.096201e+O11.43062e+O1 1.097156e+O11.43254e+O1 1.096334e+O11.43471e+O1 1.099748e+O11.43854e+O1 1.101931e+O11.44348e+O1 1.102063e+011.45772e+O1 1.103826e+O11.46040e+01 1.115848e+O11.46138e+O1 1.112568e+011.46290e+O1 1.109560e+011.46223e+O1 1.106828e+011.46664e+O1 1.102724e+011.46144e+01 1.101089e+O11.45925e+O1 1.100408e+011.45775e+O1 1.099999e+O11.46063e+O1 1.099177e+O11.47117e+O1 1.102036e+011.47432e+O1 1.103263e+O11.47772e+O1 1.108179e+011.47937e+O1 1.106948e+011.47760e+O1 1.104627e+O11.48664e+O1 1.106668e+011.49128e+O1 1.109260e+O11.49594e+O1 1.108982e+O11.49184e+O1 1.107209e+o11.50035e+O1 1.105151e+011.50874e+O1 1.101864e+O11.51548e+O1 1.097348e+O11.51645e+O1 1.094887e+O11.51343e+O1 1.095983e+O11.51483e+O1 1.092019e+O11.51948e+O1 1.093245e+O11.52248e+O1 1.096658e+O11.52481e+O1 1.095836e+O11.53204e+O1 1.101568e+O11.53424e+O1 1.101293e+O11.53477e+O1 1.104025e+o11.53600e+O1 1.105117e+O11.54079e+O1 1.106069e+011.55070e+01 1.099911e+01

1.55456e+O1 1.097037e+O11.55553e+O1 1.094850e+O11.55883e+O1 1.092524e+O11.56228e+O1 1.088558e+O11.56626e+O1 1.088417e+O11.57095e+O1 1.082400e+O11.57291e+O1 1.076386e+011.57229e+O1 1.064498e+O11.57164e+O1 1.058349e+O11.57399e+O1 1.055477e+O11.57590e+O1 1.056432e+O11.57603e+O1 1.058345e+O11.57382e+O1 1.060260e+O11.57546e+O1 1.062172e+O11.57711e+O1 1.061623e+O11.57712e+O1 1.059027e+O11.57808e+O1 1.058343e+O11.57945e+O1 1.059435e+O11.58000e+O1 1.058888e+O11.57838e+O1 1.054243e+O11.57498e+O1 1.050420e+011.58465e+O1 1.037156e+O11.58836e+O1 1.035923e+O11.59182e+O1 1.030043e+O11.59595e+O1 1.027580e+O11.60039e+O1 1.018693e+O11.60808e+O1 1.015133e+O11.61291e+O1 1.009662e+O11.61499e+O1 1.006927e+O11.61843e+O1 1.004464e+O11.61527e+O1 1.004604e+O11.61584e+O1 1.001734e+O11.61777e+O1 9.998190e+001.62105e+O1 1.002002e+O11.62502e+O1 1.001862e+O11.62871e+O1 1.004181e+O11.63102e+O1 1.008005e+O11.63330e+O1 1.016339e+O11.63367e+O1 1.024401e+O11.63306e+O1 1.035060e+O11.62734e+O1 1.051600e+O11.61877e+O1 1.064727e+O11.61557e+O1 1.072519e+O11.61526e+O1 1.078395e+O11.61484e+O1 1.079215e+O11.61277e+O1 1.082223e+O11.60683e+O1 1.089881e+O11.59853e+O1 1.102324e+O1

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1.59327e+O1 1.111758e+O11.58908e+O1 1.124881e+O11.58845e+O1 1.138546e+011.59234e+O1 1.154530e+011.59954e+O1 1.164772e+O11.60622e+O1 1.171872e+011.61101e+O1 1.174327e+011.61563e+O1 1.180062e+O11.61972e+O1 1.185660e+011.62326e+O1 1.189893e+011.62447e+O1 1.192762e+O11.62608e+O1 1.200139e+O11.63070e+O1 1.206147e+O11.63713e+O1 1.209557e+O11.64329e+O1 1.210235e+O11.64478e+O1 1.212966e+O11.64640e+01 1.218841e+O11.65238e+O1 1.226624e+O11.65852e+O1 1.231401e+O11.66249e+O1 1.232763e+O11.66798e+O1 1.232212e+O11.66907e+O1 1.233577e+O11.67205e+O1 1.239723e+O11.67764e+O1 1.245867e+O11.68296e+O1 1.249688e+O11.68472e+O1 1.253103e+O11.68318e+O1 1.259527e+O11.68152e+O1 1.261715e+O11.67461e+O1 1.271834e+O11.67170e+O1 1.276072e+O11.66712e+O1 1.286599e+O11.66328e+O1 1.286056e+O11.66068e+O1 1.286332e+O11.65987e+O1 1.283599e+O11.65781e+O1 1.283738e+O11.65643e+O1 1.285789e+O11.65478e+O1 1.286611e+O11.65395e+O1 1.288388e+O11.65931e+O1 1.286196e+011.66039e+O1 1.288382e+O11.65694e+01 1.291938e+O11.65597e+O1 1.294125e+O11.65871e+O1 1.294123e+O11.65869e+O1 1.297539e+O11.65745e+O1 1.299453e+O11.65660e+O1 1.304647e+O11.65726e+O1 1.307926e+O11.64860e+O1 1.312443e+O1

1.65395e+O1 1.311892e+O11.65546e+O1 1.312163e+O11.65503e+O1 1.314897e+O11,65268e+O1 1.317495e+O11.65020e+O1 1.319821e+O11.64963e+O1 1.323921e+O11.64878e+O1 1.329114e+O11.64875e+O1 1.333897e+O11.64928e+O1 1.336493e+O11.64899e+O1 1.338953e+O11.65375e+O1 1.346737e+O11.65458e+O1 1.345507e+O11.65337e+O1 1.341545e+O11.65079e+O1 1.336491e+O11.6511 le+O1 1.328429e+O11.65305e+O1 1.324874e+O11.65390e+O1 1.320227e+O11.65611e+O1 1.317082e+O11.65776e+O1 1.316397e+O11.66136e+O1 1.309971e+O11.66712e+O1 1.309556e+O11.66456e+01 1.302043e+O11.66417e+O1 1.298763e+O11.66710e+O1 1.290562e+O11.66952e+O1 1.298212e+O11.67072e+O1 1.303403e+O11.67110e+O1 1.309142e+O11.67383e+O1 1.311053e+O11.67532e+O1 1.315151e+O11.67529e+O1 1.320207e+O11.67622e+O1 1.325399e+O11.67509e+O1 1.330319e+O11.67330e+O1 1.332917e+O11.67041e+O1 1.334696e+O11.66820e+O1 1.336475e+O11.66750e+O1 1.339072e+O11.66570e+O1 1.342763e+O11.66391e+O1 1.344405e+O11.66238e+O1 1.348096e+O11.66693e+O1 1.343718e+O11.66926e+O1 1.343033e+O11.67050e+O1 1.342075e+O11.67420e+O1 1.342755e+O11.67557e+O1 1.342070e+O11.67574e+O1 1.336468e+O11.68021e+O1 1.346302e+O11.68238e+O1 1.350126e+O11.68496e+O1 1.355590e+O1

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1.68479e+01 1.359826e+O11.68558e+O1 1.366521e+O11.68609e+O1 1.373216e+O11.68374e+O1 1.376088e+O11.68210e+O1 1.375817e+O11.68154e+O0 1.378140e+O11.68261e+O1 1.382649e+O11.68478e+O1 1.386473e+O11.68628e+O1 1.388248e+O11.68805e+O1 1.389749e+O11.68982e+O1 1.391524e+O11.69160e+01 1.391659e+O11.69474e+O1 1.394389e+O11.69719e+O1 1.396846e+O11.70321e+O1 1.399983e+O11.71292e+O1 1.403390e+O11.71977e+O1 1.405570e+O11.72618e+O1 1.409937e+O11.73191e+O1 1.415261e+O11.73449e+O1 1.419904e+011.73561e+O1 1.415667e+O11.73521e+O1 1.413344e+O11.73712e+O1 1.415666e+O11.73971e+O1 1.418123e+O11.74122e+O1 1.418395e+O11.74477e+O1 1.420578e+O11.74642e+O1 1.419483e+O11.74585e+O1 1.423856e+O11.74474e+O1 1.426044e+011.74391e+O1 1.426728e+O11.74322e+O1 1.427958e+O11.74157e+O1 1.428643e+O11.74060e+01 1.429327e+O11.73965e+O1 1.427962e+O11.74158e+O1 1.427413e+O11.74254e+O1 1.426456e+O11.74364e+O1 1.425088e+O11.74393e+O1 1.423038e+O11.74134e+O1 1.420991e+O11.73709e+O1 1.420995e+O11.73556e+O1 1.424139e+O11.73295e+O1 1.424688e+O11.73349e+O1 1.426191e+O11.73115e+O1 1.428653e+O11.72853e+O1 1.430978e+O11.72634e+O1 1.431117e+O11.72440e+O1 1.433305e+O11.72563e+O1 1.435081e+O1

1.72549e+O1 1.435901e+O11.72903e+O1 1.439587e+O11.72834e+O1 1.440954e+O11.72546e+O1 1.440410e+O11.72406e+O1 1.444921e+O11.72445e+O1 1.448883e+O11.72523e+O1 1.456262e+O11.72834e+O1 1.463911e+O11.73010e+O1 1.467736e+O11.73556e+O1 1.471693e+O11.74184e+O1 1.476333e+O11.74388e+O1 1.478928e+O11.74397e+O1 1.487263e+O11.74506e+O1 1.489039e+O11.74740e+O1 1.487807e+O11.74960e+O1 1.485345e+O11.75193e+O1 1.485752e+O11.75370e+O1 1.488894e+O11.75590e+O1 1.488072e+O11.75726e+O1 1.489437e+O11.75696e+O1 1.493263e+O11.75889e+O1 1.492032e+O11.76447e+O1 1.498586e+O11.76571e+O1 1.497218e+O11.76870e+O1 1.503091e+O11.76925e+O1 1.501451e+O11.77292e+O1 1.507186e+O11.77426e+01 1.512924e+O11.77562e+O1 1.515519e+O11.77875e+O1 1.518386e+O11.78122e+O1 1.518247e+O11.78436e+O1 1.521524e+O11.78489e+O1 1.523436e+O11.78627e+O1 1.522342e+O11.78791e+O1 1.523843e+O11.79132e+O1 1.526983e+O11.79171e+O1 1.530399e+O11.79362e+O1 1.531763e+O11.79867e+O1 1.534902e+O11.80070e+01 1.539682e+O11.80170e+O1 1.532576e+011.80376e+O1 1.531890e+O11.80541e+O1 1.532025e+O11.80499e+O1 1.534076e+O11.80881e+O1 1.536122e+O11.81087e+O1 1.536666e+O11.81688e+O1 1.539120e+O11.81771e+O1 1.538436e+O1

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1.82578e+O1 1.541571e+O11.81936e+O1 1.537068e+O01.81691e+O1 1.534337e+O11.81282e+O1 1.530515e+O11.81156e+01 1.534616e+O11.80965e+O1 1.534344e+O11.80993e+O1 1.532978e+O11.80379e+O1 1.527381e+O11.79918e+O1 1.519323e+O11.79209e+O1 1.511267e+O11.78776e+O1 1.501023e+O11.79239e+O1 1.507168e+O11.79254e+O1 1.504981e+O11.79105e+O1 1.501703e+O11.79134e+O1 1.498560e+O11.79286e+O1 1.497465e+O11.79274e+O1 1.493502e+O11.79413e+O1 1.491588e+O11.79621e+O1 1.487350e+O11.79758e+O1 1.487349e+O11.79975e+O1 1.490353e+O11.80196e+01 1.488164e+O11.80361e+O1 1.487753e+O11.80472e+O1 1.485155e+O11.80690e+01 1.486793e+O11.80662e+O1 1.488023e+O11.80773e+O1 1.486656e+O11.81005e+O1 1.488430e+O11.81003e+O1 1.492256e+O11.81125e+O1 1.494441e+O11.81277e+O1 1.492527e+O11.81589e+O1 1.496897e+O11.81697e+O1 1.500175e+O11.81845e+O1 1.505366e+O11.81898e+O1 1.507826e+O11.82116e+O1 1.511513e+O11.82279e+O1 1.513015e+O11.82168e+O1 1.515202e+O11.81976e+O1 1.515204e+O11.82043e+O1 1.518073e+O11.83002e+O1 1.519157e+O11.83289e+O1 1.521614e+O11.83219e+O1 1.523528e+O11.83970e+O1 1.529396e+O11.85224e+O1 1.541683e+O11.85524e+01 1.545233e+O11.86437e+O1 1.554243e+O11.86614e+01 1.557247e+O1

1.86531e+O1 1.557795e+O11.8,5834e+O1 1.554249e+O11.86078e+O1 1.558072e+O11.86051e+O1 1.558619e+O11.85459e+O1 1.561768e+O11.85255e+O1 1.560130e+O11.84926e+O1 1.560133e+O11.84554e+O1 1.563416e+O11.83901e+O1 1.554677e+O11.83064e+O1 1.555232e+O11.82599e+O1 1.553186e+O11.82229e+O1 1.553463e+O11.81913e+O1 1.553466e+O11.81572e+O1 1.551693e+O11.81105e+O1 1.552791e+O11.81390e+O1 1.557571e+O11.81266e+O1 1.558665e+O11.81116e+O1 1.557027e+O11.79951e+O1 1.555671e+O11.79924e+O1 1.556492e+O11.79923e+O1 1.558268e+O11.79260e+O1 1.565243e+O11.78972e+O1 1.565929e+O11.78875e+O1 1.568527e+O11.78969e+O1 1.571259e+O11.78886e+O1 1.573583e+O11.78120e+O1 1.570310e+O11.78445e+O1 1.577413e+O11.78443e+O1 1.580283e+O11.78318e+O1 1.583290e+O11.78452e+O1 1.588892e+O11.78561e+O1 1.590257e+O11.78599e+O1 1.594493e+O11.78434e+O1 1.595997e+O11.78272e+O1 1.591353e+O11.77890e+O1 1.588487e+O11.77793e+O1 1.589854e+O11.77003e+O1 1.581253e+O11.76768e+O1 1.584125e+O11.76493e+O1 1.586041e+O11.76027e+O1 1.585499e+O11.75643e+O1 1.585502e+O11.76065e+O1 1.591101e+O11.76942e+O1 1.590819e+O11.77326e+O1 1.591909e+O11.7'7897e+O1 1.599692e+O11.78032e+O1 1.604200e+O11.78495e+O1 1.609115e+O1

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1.78467e+O1 1.610619e+O11.78260e+O1 1.612124e+O11.78245e+O1 1.614037e+O11.77984e+O1 1.615133e+O11.77942e+O1 1.616636e+O11.78230e+O1 1.616360e+O11.78091e+O1 1.619368e+O11.77062e+O1 1.621701e+O11.76144e+O1 1.619933e+O11.75365e+O1 1.616524e+O11.74641e+O1 1.611202e+O11.73113e+O1 1.598918e+O11.72390e+O1 1.592366e+O11.71193e+O1 1.575023e+O11.70841e+O1 1.567374e+O11.70586e+O1 1.558631e+O11.70315e+O1 1.552894e+O11.70317e+O1 1.549888e+O11.69856e+O1 1.540600e+O11.69393e+O1 1.535412e+O11.69065e+O1 1.532545e+O11.68438e+O1 1.526539e+O11.69228e+O1 1.536780e+O11.69499e+O1 1.541560e+011.69715e+O1 1.547980e+O11.69754e+O1 1.550986e+O11.70081e+O1 1.554809e+O11.70242e+O1 1.560137e+O11.70399e+O1 1.573664e+O11.70576e+O1 1.575985e+O11.70899e+O1 1.587051e+O11.71359e+O1 1.597158e+O11.71755e+O1 1.600571e+O11.71930e+O1 1.604532e+O11.72709e+O1 1.609307e+O11.72819e+O1 1.608760e+O11.72941e+O1 1.612175e+O11.72966e+O1 1.615454e+011.72839e+O1 1.621878e+O11.72948e+O1 1.623790e+O11.73027e+O1 1.629392e+O11.73244e+O1 1.632259e+O11.73339e+O1 1.634308e+O11.73463e+O1 1.634307e+O11.73680e+O1 1.637038e+O11.73941e+O1 1.637172e+O11.74159e+O1 1.638946e+011.74418e+O1 1.640994e+O1

1.75581e+O1 1.646175e+O11.75937e+O1 1.647128e+O11.76333e+O1 1.649857e+O11.76853e+O1 1.651082e+O11.77318e+O1 1.653811e+O11.77688e+O1 1.654081e+O11.78180e+O1 1.655716e+O11.78507e+O1 1.658855e+O11.79561e+O1 1.661988e+O11.80286e+O1 1.664714e+O11.80630e+O1 1.663071e+O11.80998e+O1 1.667167e+O11.81572e+O1 1.670715e+O11.82638e+O1 1.675624e+O11.82965e+O1 1.679174e+O11.83301e+O1 1.690786e+O11.83438e+O1 1.691468e+O11.83681e+O1 1.697888e+O11.83582e+O1 1.703081e+O11.83881e+O1 1.708408e+O11.83797e+O1 1.710322e+O11.84070e+O1 1.712232e+O11.84832e+O1 1.722884e+O11.85323e+O1 1.727115e+O11.85460e+O1 1.726567e+O11.85638e+O1 1.727522e+O11.85776e+O1 1.726837e+O11.85858e+O1 1.727383e+O11.86102e+O1 1.731344e+O11.86127e+O1 1.735853e+O11.86440e+01 1.740359e+O11.86696e+01 1.747463e+O11.86557e+O1 1.750197e+O11.86721e+O1 1.751152e+O11.86608e+O1 1.756892e+O11.86292e+O1 1.758672e+O11.86442e+O1 1.759627e+O11.86386e+O1 1.761950e+O11.86194e+O1 1.761542e+O11.86070e+01 1.762500e+O11.85906e+O1 1.762092e+O11.85919e+O1 1.763595e+O11.85835e+O1 1.766192e+O11.85287e+O1 1.765377e+O11.85546e+O1 1.768244e+O11.85545e+O1 1.769611e+O11.85407e+O1 1.770979e+O11.85391e+O1 1.775625e+O1

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1.84978e+O1 1.779318e+O11.84840e+O1 1.780413e+O11.84401e+O1 1.780007e+O11.84372e+O1 1.783287e+O11.83619e+O1 1.781654e+O11.83427e+O1 1.781656e+O11.83494e+O1 1.785072e+O11.82662e+O1 1.777837e+O11.82800e+O1 1.775650e+O11.82706e+O1 1.772781e+O11.82307e+01 1.774015e+O11.82538e+O1 1.777565e+O11.82523e+O1 1.780025e+O11.82248e+O1 1.780984e+O11.82275e+O1 1.782487e+O11.82001e+O1 1.782900e+O11.81465e+O1 1.785091e+O11.80385e+O1 1.779636e+O11.80701e+O1 1.778676e+O11.80319e+O1 1.773897e+O11.80021e+O1 1.768570e+O11.79981e+O1 1.766248e+O11.80078e+O1 1.764470e+O11.79997e+O1 1.762695e+O11.79655e+O1 1.760238e+O11.79412e+O1 1.754091e+O11.79166e+01 1.753547e+O11.79169e+O1 1.747671e+O11.78840e+O1 1.747948e+O11.78880e+O1 1.749724e+O11.78317e+O1 1.752052e+O11.78796e+O1 1.752594e+O11.78726e+O1 1.755464e+O11.78614e+O1 1.758745e+O11.78764e+O1 1.760657e+O11.79366e+O1 1.763657e+O11.79815e+O1 1.768162e+O11.79814e+O1 1.771442e+O11.80168e+O1 1.774172e+O11.80222e+O1 1.776767e+011.80345e+O1 1.777450e+011.80248e+O1 1.779637e+O11.80452e+O1 1.781958e+O11.80259e+O1 1.783190e+O11.80382e+O1 O.OOOOOOe+001.43008e+O1 1.429078e+O11.43318e+O1 1.438093e+O11.43413e+O1 1.438639e+O1

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1.56157e+O1 1.450269e+O11.56077e+O1 1.446170e+O11.55116e+O1 1.447683e+O11.55033e+O1 1.449187e+O11.54814e+O1 1.449189e+O11.54556e+O1 1.445092e+O11.54580e+O1 1.450011e+O11.54361e+O1 1.450560e+O11.54401e+O1 1.452746e+O11.54277e+O1 1.453840e+O11.54181e+O1 1.452611e+O11.54084e+O1 1.454252e+O11.53975e+O1 1.454253e+O11.53822e+O1 1.456851e+O11.53712e+O1 1.457398e+O11.53794e+O1 1.459037e+O11.53629e+O1 1.460269e+O11.53438e+O1 1.458767e+O11.53108e+O1 1.459317e+O11.53095e+O1 1.458087e+O11.53480e+O1 1.455624e+O11.53784e+O1 1.451658e+O11.54019e+O1 1.448103e+O11.54035e+O1 1.444687e+O11.53764e+O1 1.439223e+O11.53683e+O1 1.437858e+O11.53630e+O1 1.434442e+O11.53521e+O1 1.432257e+O11.53538e+O1 1.427747e+O11.53694e+O1 1.417770e+O11.53683e+O1 1.413534e+O11.53506e+O1 1.411896e+O11.53139e+O1 1.406570e+O01.52810e+O1 1.405480e+O11.52408e+O1 1.412590e+O11.52226e+O1 1.419424e+O11.51880e+O1 1.426123e+O11.51522e+O1 1.428040e+O11.51044e+01 1.425038e+O11.50949e+O1 1.422852e+O11.50705e+O1 1.417799e+O11.50419e+O1 1.415205e+O11.49965e+O1 1.417669e+O11.50017e+O1 1.422725e+O11.50208e+O1 1.423816e+O11.50481e+O1 1.426683e+O11.50520e+O1 1.430509e+O11.50602e+O1 1.430508e+O1

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1.43660e+01 1.416090e+011.43753e+01 1.420052e+011.43890e+01 1.421417e+011.43847e+01 1.424013e+011.44061e+01 1.433577e+011.44087e+01 1.435763e+011.44291e+01 1.438904e+011.44426e+01 1.442866e+011.44478e+01 1.447238e+011.44341e+01 1.447376e+011.44206e+01 1.443961e+011.44110e+01 1.442869e+011.43976e+O1 1.438497e+011.43689e+01 1.436040e+O11.43431e+01 1.432763e+011.43226e+O1 1.430989e+011.43063e+01 1.429077e+011.43008e+O1 0.000000e+001.44504e+01 1.450244e+011.44640e+01 1.450926e+011.44709e+01 1.450379e+011.44546e+01 1.448194e+011.44504e+01 1.449834e+011.44627e+01 0.000000e+001.50402e+01 1.469045e+011.50469e+01 1.470548e+011.50634e+01 1.470683e+011.50757e+01 1.471228e+011.50825e+01 1.472457e+011.50989e+01 1.472729e+011.51073e+01 1.470678e+011.51224e+01 1.470404e+O11.51305e+O1 1.472043e+011.51442e+01 1.471222e+011.51661e+01 1.473133e+011.51866e+O1 1.473814e+011.52031e+01 1.472719e+011.52182e+O1 1.472991e+011.52359e+01 1.475039e+011.52635e+01 1.471073e+O11.52705e+01 1.468886e+O11.52812e+01 1.473258e+011.52882e+01 1.471208e+O11.52978e+01 1.471753e+011.53033e+01 1.470250e+011.52830e+01 1.465332e+O11.52666e+01 1.464651e+011.52350e+01 1.465884e+01

1.51980e+011.51499e+011.51101e+011.50772e+011.50402e+011.50524e+011 .52325e+011.5272 le+011 .5:2528e+O11.5235 1e+011 .51677e+011 .51582e+011.51403e+011.51769e+011.51862e+011 .51999e+011.52029e+011 .52276e+011.52604e+011.52769e+011.53003e+O11.53138e+011 .53479e+011 .53984e+011.54120e+011.54583e+011.54856e+011.55733e+011.56748e+011 .56747e+011.56308e+011.56621e++011 .58729e+011.588 12e+011 .58608e+011 .58446e+011 .58227e+011 .57873e+011.57191e+011 .56058e+011 .55374e+011 .54542e+011 .54406e+011 .53981e+011.53120e+011 .52763e+011 .52325e+011 .52680e+01

1 .466570e+011 .467395e+011 .468765e+011.469451e+011.469045e+010.OOOOOOe+001.367223e+011.369542e+011.370910e+011.369819e+011.372832e+011.372149e+011.372424e+011 .380073e+011.384718e+011.384717e+011.381164e+011.380752e+011.381705e+011.381977e+011.380745e+011.384023e+011.387163e+011.390027e+011.392896e+011.39781 le+011.399585e+011.401079e+011.400523e+011 .401753e+011.401757e+011.406537e+011.412393e+011.41 1025e+011.408021e+011 .404060e+011.402832e+011.399009e+011.392866e+011.384678e+011.380722e+011.373624e+011.371712e+011.371716e+011.367489e+011.368312e+011.367360e+010.OOOOOOe+00

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1.57094e+O1 1.418694e+011.57404e+O1 1.427847e+O11.57582e+O1 1.427982e+O1l.57909e+O1 1.431941e+O11.58346e+O1 1.434397e+O11.59508e+O1 1.439988e+O11.60124e+O1 1.442305e+O11.61057e+O1 1.441340e+O11.61522e+O1 1.443112e+O11.61521e+O1 1.444888e+O11.61547e+O1 1.446528e+O11.62024e+O1 1.450896e+O11.62561e+O1 1.447338e+O11.62890e+O1 1.447472e+O11.62891e+O1 1.445422e+O11.62713e+O1 1.445014e+O11.62659e+O1 1.444194e+011.62921e+O1 1.440639e+O11.62923e+O1 1.438726e+O11.62378e+O1 1.432582e+O11.62091e+O1 1.429852e+O11.61120e+O1 1.427128e+O11.60846e+O1 1.425764e+011.60627e+O1 1.426176e+O11.60503e+O1 1.427270e+O11.59201e+O1 1.425233e+O11.58599e+O1 1.423189e+O11.58203e+O1 1.420870e+O11.57930e+O1 1.418959e+O11.57547e+O1 1.417870e+O11.57094e+O1 1.418967e+O11.57377e+O1 O.OOOOOOe+001.38246e+O1 1.078891e+O11.38437e+O1 1.080802e+O11.38726e+O1 1.079433e+O11.38795e+O1 1.078476e+011.38659e+O1 1.076974e+011.38233e+O1 1.079028e+O11.38492e+O1 O.OOOOOOe+001.71583e+O1 1.398058e+O11.71680e+O1 1.39751le+O11.70178e+O1 1.385636e+O11.69795e+O1 1.384410e+O11.69550e+O1 1.382090e+O11.69166e+O1 1.381820e+O11.68907e+O1 1.379363e+O11.68756e+O1 1.379091e+O11.68605e+O1 1.380049e+O1

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1.82332e+O1 1.563848e+O11.81388e+O1 1.560440e+011.81140e+O1 1.563312e+O11.81126e+O1 1.563586e+O11.80425e+O1 1.566599e+O11.79905e+O1 1.565647e+O11.79915e+O1 1.571796e+O11.80145e+O1 1.576987e+O11.80352e+O1 1.574525e+O11.80258e+O1 1.570973e+O11.80616e+O1 1.568647e+O11.80754e+01 1.566049e+O11.81084e+O1 1.565499e+O11.80973e+O1 1.567413e+O11.81329e+O1 1.568777e+O11.81521e+O1 1.567682e+O11.81767e+O1 1.568909e+O11.82137e+O1 1.569179e+O11.83874e+O1 1.576951e+O11.83304e+O1 O.OOOOOOe+001.76696e+O1 1.638512e+O11.77131e+O1 1.643837e+O11.77475e+O1 1.642331e+O11.77844e+O1 1.644924e+O11.79941e+O1 1.645587e+O11.80147e+01 1.644082e+O11.81039e+O1 1.643663e+O11.81548e+O1 1.641062e+O11.81577e+O1 1.638055e+O11.81207e+O1 1.637376e+O11.80893e+O1 1.635056e+O11.79263e+O1 1.632202e+O11.79057e+O1 1.633707e+O11.78591e+O1 1.633301e+O11.78246e+O1 1.636447e+O11.77806e+O1 1.638091e+O11.76888e+O1 1.637144e+O11.76696e+O1 1.638239e+O11.77200e+O1 O.OOOOOOe+001.85071e+O1 1.569697e+O11.85318e+O1 1.593199e+O11.85427e+O1 1.594837e+O11.85506e+O1 1.599619e+O11.85711e+O1 1.600164e+011.85752e+01 1.601120e+O11.85919e+O0 1.597566e+O11.86097e+O1 1.597427e+O11.86207e+O1 1.596060e+O1

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1.87003e+O1 1.666973e+O11.86878e+O1 1.669024e+O11.86673e+O1 1.668889e+O11.86562e+O1 1.669847e+O11.86654e+O1 1.677499e+O11.86736e+O1 1.678181e+O11.86625e+O1 1.679685e+O11.86494e+01 1.692668e+O11.86492e+O1 1.696221e+O11.86352e+O1 1.702235e+O11.86337e+O1 1.704695e+O11.86431e+O1 1.707017e+O11.86225e+O1 1.708112e+O11.86456e+O1 1.711253e+O11.86523e+O1 1.715078e+O11.86261e+O1 1.716857e+O11.86447e+O1 1.726694e+O11.86664e+O1 1.731748e+O11.86935e+O1 1.737075e+O11.87221e+O1 1.740488e+O11.87373e+O1 1.738574e+O11.87523e+O1 1.739666e+O11.87508e+O1 1.741989e+O11.87877e+O1 1.743898e+O11.88016e+O1 1.740208e+O11.87991e+O1 1.736792e+O11.87335e+O1 1.732425e+O11.87501e+O1 1.729964e+O11.87637e+O1 1.731739e+O11.87953e+O1 1.731463e+O11.88063e+O1 1.730368e+O11.88204e+O1 1.724218e+O11.88081e+O1 1.723126e+O11.88088e+01 1.711101e+O11.88009e+O1 1.705909e+O11.88107e+O1 1.702491e+O11.88042e+O1 1.695796e+O11.88154e+O1 1.691422e+O11.88278e+O1 1.690875e+O11.88440e+O1 1.694289e+O11.88603e+O1 1.696884e+O11.88626e+O1 1.705219e+O11.88901e+O1 1.703987e+O11.88943e+O1 1.701527e+O11.89094e+O1 1.702209e+O11.89134e+O1 1.703848e+O11.89450e+O1 1.703299e+O11.89832e+O1 1.706848e+O1

1.90037e+O1 1.706709e+O11.89834e+O1 1.702202e+O11.89671e+O1 1.699880e+O11.89591e+O1 1.696601e+O11.89838e+O1 1.695779e+O11.89976e+01 1.694548e+O11.90235e+O1 1.696185e+O11.90510e+O1 1.695636e+O11.91029e+O1 1.697817e+O11.91302e+O1 1.700958e+O11.91438e+O1 1.701913e+O11.91695e+O1 1.708060e+O11.91903e+O1 1.703822e+O11.92231e+O1 1.705595e+O11.92355e+O1 1.704774e+011.92519e+O1 1.706275e+O11.92711e+O1 1.706684e+O11.92807e+O1 1.705453e+O11.93095e+O1 1.706407e+O11.93341e+O1 1.707361e+O11.93424e+O1 1.706403e+O11.93821e+O1 1.706810e+O11.93987e+O1 1.705032e+O11.93988e+O1 1.702435e+O11.93990e+O1 1.699156e+011.93925e+O1 1.693827e+O11.94256e+O1 1.690271e+O11.94421e+O1 1.688356e+O11.94751e+O1 1.687670e+O11.94790e+O1 1.691632e+O11.94940e+O1 1.692861e+O11.95146e+01 1.692175e+O11.95267e+O1 1.696684e+O11.95500e+O1 1.695862e+O11.95612e+O1 1.691214e+O11.95395e+O1 1.688484e+O11.95261e+O1 1.683155e+O11.95375e+O1 1.675365e+O11.95337e+O1 1.670036e+O11.95681e+O1 1.668120e+O11.96053e+O1 1.664427e+O11.95968e+O1 1.668664e+O11.95800e+O1 1.675225e+O11.95799e+O1 1.677548e+O11.96029e+O1 1.681918e+O11.96165e+O1 1.683147e+O11.96191e+O1 1.686426e+O11.96438e+O1 1.685467e+O1

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1.96390e+O1 1.674399e+011.96460e+01 1.671392e+011.96736e+O1 1.668247e+011.97035e+01 1.672207e+011.96965e+01 1.674940e+011.96882e+01 1.677127e+011.96935e+01 1.679587e+011.97542e+01 1.673705e+011.97684e+01 1.665368e+011.97714e+01 1.659902e+011.97936e+01 1.655253e+011.97899e+01 1.649105e+011.97748e+01 1.648696e+011.97583e+01 1.650064e+011.97392e+01 1.648836e+O11.97270e+01 1.646104e+011.97023e+01 1.646517e+O11.97008e+O1 1.648430e+011.96884e+01 1.648978e+011.96799e+O1 1.653488e+011.96635e+01 1.653899e+011.96619e+O1 1.657999e+O11.96413e+01 1.657864e+011.96293e+01 1.651853e+O11.96308e+01 1.649530e+011.96228e+01 1.646251e+011.96037e+01 1.645023e+011.95762e+01 1.646119e+011.95658e+01 1.658965e+011.95725e+O1 1.662244e+011.95533e+O1 1.661972e+011.95353e+01 1.665527e+011.95050e+01 1.668399e+011.94776e+01 1.668265e+011.94630e+01 1.658428e+011.94822e+01 1.658563e+011.94579e+01 1.653372e+011.94550e+O1 1.655013e+011.94223e+O1 1.651326e+O11.94021e+O1 1.645725e+O11.94145e+O1 1.645041e+011.94188e+01 1.640258e+011.94108e+O1 1.637389e+011.93767e+01 1.634796e+011.93698e+01 1.635753e+011.93261e+01 1.632341e+011.92973e+01 1.631387e+O11.92890e+01 1.633301e+01

1.9301 le+01 1.636853e+O11.93148e+01 1.638355e+011.93476e+01 1.640401e+011.93446e+01 1.644638e+011.93637e+01 1.646002e+011.93512e+01 1.647780e+011.93455e+01 1.651743e+011.93770e+01 1.653380e+011.93782e+01 1.655566e+011.93427e+01 1.654067e+011.93302e+01 1.655298e+011.93207e+01 1.654069e+011.92960e+01 1.654071e+011.92865e+01 1.652569e+011.93058e+01 1.650927e+011.93032e+01 1.648741e+011.92732e+01 1.645328e+011.92608e+01 1.646422e+011.92308e+01 1.644512e+011.91963e+01 1.647795e+011.92126e+01 1.650253e+011.91688e+O1 1.649574e+011.91717e+01 1.647251e+011.91416e+01 1.644930e+011.91035e+01 1.641381e+011.90460e+01 1.638654e+011.89844e+01 1.637293e+011.89188e+01 1.634020e+011.88982e+01 1.634022e+011.88354e+01 1.630748e+011.87903e+01 1.626653e+O11.87658e+01 1.624879e+O11.87152e+01 1.621741e+011.86878e+O1 1.622427e+011.86822e+O1 1.624614e+011.86642e+01 1.626118e+011.86436e+01 1.628170e+011.87004e+01 1.640327e+O11.8711 1e+01 1.644972e+011.87329e+01 1.648659e+011.87301e+O1 1.649479e+011.87069e+O1 1.647978e+O11.86904e+01 1.648526e+O11.86699e+01 1.647435e+011.86535e+O1 1.645797e+011.85975e+O1 1.642386e+011.86273e+01 0.OOOOOOe+001.92108e+01 1.633855e+01

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1.92150e+O1 1.632352e+O11.92260e+O1 1.633034e+O11.92384e+O1 1.631256e+O11.92357e+O1 1.630300e+O11.92467e+O1 1.629069e+O11.92591e+O1 1.629205e+O11.92660e+O1 1.627701e+O11.92852e+O1 1.627972e+O11.92771e+O0 1.625787e+O11.92606e+O1 1.626198e+O11.92455e+O1 1.626473e+O11.92427e+O1 1.627976e+O11.92179e+O1 1.630165e+O11.92028e+O1 1.631260e+O11.92067e+O1 1.633582e+O11.92164e+O1 1.632352e+O11.92301e+O1 O.OOOOOOe+001.92132e+O1 1.711608e+O11.92241e+O1 1.712837e+O11.92557e+O1 1.711604e+O11.92544e+O1 1.710785e+O11.92230e+O1 1.708465e+O11.92065e+O1 1.708739e+O11.92104e+O1 1.711882e+O11.92241e+O1 O.OOOOOOe+001.87542e+O1 1.755107e+O11.87599e+O1 1.750597e+O11.87462e+O1 1.750052e+O11.87379e+O1 1.752649e+O11.87514e+O1 1.754970e+O11.87599e+O1 O.OOOOOOe+009.96044e+00 1.139386e+O11.05395e+O1 1.130858e+O11.05512e+O1 1.141653e+O11.08764e+O1 1.137385e+011.09231e+O1 1.135605e+O11.09578e+O1 1.128769e+O11.10211e+O1 1.124117e+O11.10694e+01 1.118099e+O11.11343e+O1 1.110851e+O11.11935e+O1 1.105926e+O11.12338e+O1 1.096220e+O11.12299e+01 1.092804e+O11.12689e+01 1.082825e+O11.13323e+01 1.077079e+O11.14080e+01 1.072153e+O11.15070e+O1 1.066677e+O11.15345e+01 1.065992e+O1

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1.31143e+O1 1.533591e+O11.31637e+O1 1.533450e+O11.31625e+O1 1.530580e+O11.31736e+O1 1.527436e+O11.31889e+O1 1.523472e+O11.31878e+O1 1.518963e+O11.32263e+O1 1.518139e+O11.32729e+O1 1.517041e+O11.32893e+O1 1.517860e+O11.33086e+O1 1.516491e+011.33115e+O1 1.514715e+O11.33540e+O1 1.514574e+O11.33799e+O1 1.517304e+O11.34155e+O1 1.517574e+O11.34539e+O1 1.517981e+O11.34856e+O1 1.515108e+O11.35075e+O1 1.514423e+O11.35228e+O1 1.511825e+O11.35352e+O1 1.509637e+O11.35489e+O1 1.509909e+O11.35543e+O1 1.512505e+O11.35913e+O1 1.511545e+O11.36010e+O1 1.509768e+O11.36216e+O1 1.509082e+O11.36368e+O1 1.507578e+O11.36904e+O1 1.505250e+O11.37642e+O1 1.509069e+O11.37848e+O1 1.509477e+O11.37931e+O1 1.507016e+O11.38630e+O1 1.507556e+O11.38932e+O1 1.506323e+O11.39398e+O1 1.506592e+O11.39564e+O1 1.505497e+O11.40194e+01 1.505628e+O11.40836e+O1 1.510541e+O11.41232e+O1 1.512724e+O11.41588e+O1 1.513950e+O11.47580e+O1 1.488203e+O11.47623e+O1 1.484376e+O11.47954e+O1 1.481640e+O11.48065e+O1 1.480273e+O11.48667e+O1 1.481497e+O11.48846e+O1 1.480402e+O11.48793e+O1 1.477259e+O11.48973e+O1 1.474115e+O11.49276e+O1 1.472062e+O11.49399e+O1 1.472881e+O11.49563e+O1 1.473699e+O1

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* 0

1.70004e+01 1.498237e+O11.70292e+O1 1.497824e+O11.70469e+O1 1.500146e+O11.70565e+O1 1.500282e+O11.70744e+O1 1.498913e+O11.70660e+O1 1.501647e+O11.70741e+O1 1.503013e+O11.70988e+O1 1.502874e+O11.71001e+O1 1.504240e+O11.70836e+O1 1.505198e+O11.70794e+O1 1.506702e+O11.70943e+O1 1.510117e+O11.71160e+O1 1.513804e+O11.71214e+O1 1.515853e+O11.71020e+O1 1.519681e+O11.70922e+O1 1.523372e+O11.71055e+O1 1.529930e+O11.71040e+O1 1.532526e+O11.70956e+O1 1.534167e+O11.71064e+O1 1.537445e+O11.71615e+O1 1.556434e+O11.71724e+O1 1.558210e+O11.71889e+O1 1.557798e+O11.71999e+O1 1.556157e+O11.72069e+O1 1.553834e+O11.72289e+O1 1.552875e+O11.72494e+O1 1.554103e+O11.72794e+O1 1.557380e+O11.73012e+O1 1.559427e+O11.73190e+O1 1.560382e+O11.73478e+O1 1.559696e+O11.74276e+O1 1.554633e+O11.75253e+O1 1.524424e+O11.75967e+O1 1.523050e+O11.76050e+O1 1.522093e+O11.76078e+O1 1.519906e+O11.76107e+O1 1.517173e+O11.76246e+O1 1.515259e+O11.76506e+O1 1.515120e+O11.76739e+O1 1.515527e+O11.76823e+O1 1.513203e+O11.76988e+O1 1.512382e+O11.77139e+O1 1.510741e+O11.77305e+O1 1.509373e+O11.77359e+O1 O.OOOOOOe+00

A-51

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APPENDIX B

PRINTOUTS OF OLD AND NEW ELTXYLG FILES

B-1

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OLD FILE: ELTXYLG

B-2

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23456789

101112131415161718192 02 12 22 324252 6272829303 13 23 334353 63 73 83 9404 1424344454 6474 84 9505152

88.90.92.94.96.98.

100 .102.104.106.108.

74.76.78.80.82 .84.86.88.90.92.94.96.98.

100.102.104.106.108.110.112.114.116.58.60.62 .64 .66.68.70.72 .74.76.78.80.82.84.86.88.90.92.94 .

58.58.58.58.58.58.58.58.58.58.58.56.56.56.56.56.56.56.56.56.56.56.56.56.56.56.56.56.56.56.56.56.56.54.54.54.54.54.54.54.54.54.54.54.54.54.54.54.54.54.54.54.

13 .9 6613 .72 113. 47613 .22812 .98412. 72912. 47612 .2 2811. 98811. 74711. 50515. 83 015. 57215. 31415. 06014 .80214. 53 914. 28 114 .02 113 .7 6413. 50513 .2 4212. 98212 .7 1812 .45 112 .19411. 93 911. 68311. 42711. 17210. 91910. 66510. 41418. 10817. 84417. 57917. 31517. 04916. 78316. 51516. 24715. 97815. 70715.43615. 16614. 89114. 62 114. 34814. 07413. 80013 .53 013 .256

17. 3 8317. 36017. 33917. 32 517. 32 117. 32 317. 32717. 34717 .3 7017. 40117. 43 317. 31517. 23 317. 16417. 10017. 04516. 99716. 95616. 92216. 89616. 87716. 86916. 86816. 86616. 87216. 89 116. 91316. 94 316. 98 117. 02717. 08117. 14 317. 20917. 78517. 63 617. 50217. 37217 .2 5317. 14217. 03816. 94416. 85816. 77616.70516. 64016. 58516. 53516. 49616. 46216. 43716. 42 316. 412

14. 21313 .9 6613 .72 113 .47 613 .22812. 98412. 72 912. 47612 .22 811. 98811. 74716. 08 315. 83 015. 57215. 31415. 06014. 80214. 53914. 28 114. 02 113 .76413. 50513 .24212. 98212. 71812 .45 112 .19411. 93 911. 68311. 42711. 17210. 91910. 66518. 40718. 10817. 84417. 57917. 31517. 04916. 78316. 51516. 24715. 97815. 70715. 43615. 16614. 89114 .62 114 .3 4814. 07413 . 80013 .53 0

17. 41917. 38 317. 36017. 33 917. 32 517. 32 117. 32 317. 32717. 34717. 37 017. 40117. 40417. 31517. 23 317. 16417. 10017. 04516. 99716. 95616. 92216. 89616. 87716. 86916. 86816. 86616. 87216. 89 116. 91316. 94316. 98117. 02717. 08 117. 14317. 90617. 78517. 63617. 50217. 37217. 25317. 14217. 03816. 94416. 85816. 77616. 70516. 64016. 58516. 53516. 49616. 46216. 43716. 42 3

14. 14013. 90413. 67413 .44313 .2 1012. 98112 .74 312 .50112. 26812. 03 711. 80715. 91815. 68215. 43715. 19214. 94814. 70314.45514. 21313 .96613 .72 113. 47613. 22812. 98412. 72912. 47612. 22811. 98811. 74711. 50511. 26211. 02110. 78318. 12217. 86617. 61017. 35417. 09816. 84216. 59016. 33716. 08315. 83015. 57215. 31415. 06014. 80214. 53914. 28114. 02113. 76413. 505

17. 87917. 85717. 82017. 80517. 79717. 79017. 78817. 79117. 80717. 82817. 85517. 85217.76417. 68817. 62017. 55417. 49917. 45617. 41917. 38317. 36017. 33 917. 32517. 32 117 .32 317. 32717. 34717. 37017. 40117. 43 317. 47717. 53017. 58918. 36718. 23 118. 08217. 95417. 81817.70617. 59417. 49417. 40417. 31517. 23 317. 16417. 10017. 04516. 99716. 95616. 92216. 89616. 877

13. 90713 .67413. 44513. 20912. 98312.74012. 50012. 26912. 03 311. 80311. 58015. 68115. 43615. 19614.95014. 70214. 45514. 21313. 96613. 72113 .47613 .22812. 98412. 72912. 47612 .2 2811. 98811.74711. 50511. 26211. 02110. 78310. 54 317. 86617. 61017. 35417. 09916. 84216. 59016. 33516. 08315. 83015. 57215. 31415. 06014. 80214. 53914. 28114. 02 113 .76413. 50513 .242

17. 85 117. 82 017. 80517. 79 617. 79617. 78817. 79917. 80617. 82 617. 85917. 88717. 76417. 68917. 62 017. 55517. 50417.45717. 41917. 38317. 36017. 33917. 32 517. 32 117 .32 317. 32717. 34717. 37017. 40117. 43 317.47717. 53 017. 58917. 65618. 23 118. 08217. 95417 .82 817.70617. 59317. 49317.40417. 31517. 23 317. 16417. 10017. 04516. 99716.95616. 92 216. 89616. 87716. 869

B-3

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53 96. 54. 12.983 16.405 13.256 16.412 13.242 16.869 12.982 16.86854 98. 54. 12.707 16.407 12.983 16.405 12.982 16.868 12.718 16.86655 100. 54. 12.428 16.413 12.707 16.407 12.718 16.866 12.451 16.87256 102. 54. 12.154 16.433 12.428 16.413 12.451 16.872 12.194 16.89157 104. 54. 11.887 16.458 12.154 16.433 12.194 16.891 11.939 16.91358 106. 54. 11.620 16.491 11.887 16.458 11.939 16.913 11.683 16.94359 108. 54. 11.351 16.531 11.620 16.491 11.683 16.943 11.427 16.98160 110. 54. 11.081 16.580 11.351 16.531 11.427 16.981 11.172 17.02761 112. 54. 10.815 16.633 11.081 16.580 11.172 17.027 10.919 17.08162 114. 54. 10.553 16.695 10.815 16.633 10).919 17.081 10.665 17.14363 116. 54. 10.288 16.768 10.553 16.695 10).665 17.143 10.414 17.20964 54. 52. 18.924 17.665 19.207 17.843 19.000 18.230 18.733 18.08165 56. 52. 18.648 17.492 18.924 17.665 18.733 18.081 18.407 17.90666 58. 52. 18.369 17.335 18.648 17.492 18.407 17.906 18.108 17.78567 60. 52. 18.087 17.182 18.369 17.335 18.108 17.785 17.844 17.63668 62. 52. 17.808 17.044 18.087 17.182 17.844 17.636 17.579 17.50269 64. 52. 17.529 16.917 17.808 17.044 17.579 17.502 17.315 17.37270 66. 52. 17.246 16.797 17.529 16.917 17.315 17.372 17.049 17.25371 68. 52. 16.965 16.684 17.246 16.797 17.049 17.253 16.783 17.14272 70. 52. 16.681 16.581 16.965 16.684 16.783 17.142 16.515 17.03873 72. 52. 16.400 16.490 16.681 16.581 16.515 17.038 16.247 16.94474 74. 52. 16.118 16.401 16.400 16.490 16.247 16.944 15.978 16.85875 76. 52. 15.831 16.320 16.118 16.401 15.978 16.858 15.707 16.77676 78. 52. 15.553 16.248 15.831 16.320 15.707 16.776 15.436 16.70577 80. 52. 15.268 16.182 15.553 16.248 15.436 16.705 15.166 16.64078 82. 52. 14.982 16.126 15.268 16.182 15.166 16.640 14.891 16.58579 84. 52. 14.695 16.076 14.982 16.126 14.891 16.585 14.621 16.53580 86. 52. 14.411 16.036 14.695 16.076 14.621 16.535 14.348 16.49681 88. 52. 14.127 16.000 14.411 16.036 14.348 16.496 14.074 16.46282 90. 52. 13.843 15.974 14.127 16.000 14.074 16.462 13.800 16.43783 92. 52. 13.557 15.959 13.843 15.974 13.800 16.437 13.530 16.42384 94. 52. 13.269 15.949 13.557 15.959 13.530 16.423 13.256 16.41285 96. 52. 12.983 15.946 13.269 15.949 13.256 16.412 12.983 16.40586 98. 52. 12.696 15.949 12.983 15.946 12.983 16.405 12.707 16.40787 100. 52. 12.408 15.955 12.696 15.949 12.707 16.407 12.428 16.41388 102. 52. 12.126 15.974 12.408 15.955 12.428 16.413 12.154 16.43389 104. 52. 11.839 16.005 12.126 15.974 12.154 16.433 11.887 16.45890 106. 52. 11.556 16.034 11.839 16.005 11.887 16.458 11.620 16.49191 108. 52. 11.274 16.077 11.556 16.034 11.620 16.491 11.351 16.53192 110. 52. 10.990 16.130 11.274 16.077 11.351 16.531 11.081 16.58093 112. 52. 10.713 16.185 10.990 16.130 11.081 16.580 10.815 16.63394 114. 52. 10.435 16.253 10.713 16.185 10.815 16.633 10.553 16.69595 116. 52. 10.161 16.324 10.435 16.253 10.553 16.695 10.288 16.76896 52. 50. 19.503 17.386 19.796 17.591 19.579 17.851 19.207 17.84397 54. 50. 19.208 17.207 19.503 17.386 19.207 17.843 18.924 17.66598 56. 50. 18.908 17.036 19.208 17.207 18.924 17.665 18.648 17.49299 58. 50. 18.617 16.878 18.908 17.036 18.648 17.492 18.369 17.335

100 60. 50. 18.320 16.729 18.617 16.878 18.369 17.335 18.087 17.182101 62. 50. 18.027 16.594 18.320 16.729 18.087 17.182 17.808 17.044102 64. 50. 17.731 16.459 18.027 16.594 17.808 17.044 17.529 16.917103 66. 50. 17.438 16.338 17.731 16.459 17.529 16.917 17.246 16.797104 68. 50. 17.141 16.229 17.438 16.338 17.246 16.797 16.965 16.684

B-4

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105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156

70.72.74.76.78.80.82.84.86.88.90.92.94.96.98.

100.102.104.106.108.110.112.114.116.

52.54.56.58.60.62.64.66.68.70.72.74.76.78.80.82.84.86.88.90.92.94.96.98.

100.102.104.106.

50.50.50.50.50.50.50.50.50.50.50.50.50.50.50.50.50.50.50.50.50.50.50.50.48.48.48.48.48.48.48.48.48.48.48.48.48.48.48.48.48.48.48.48.48.48.48.48.48.48.48.48.

16. 84516. 55416. 25315. 96115.66415.36815.06714.77214.46914.17313.87713.58213.28012.98212.68612.38312.08311. 78811. 49211.20010.90110. 61110.32010. 02619.79019.47519. 15918.85418.54518.23417.92517. 62017. 30617.00116. 69416. 38616. 07815. 76815.46015. 15114.84014. 53314.22413.91613. 60813 .29612.98612.67512.35912. 04711. 73911. 430

16. 12416. 03115.94015.86115.78715.72215.66515.61715.57615. 54215.51515.49815.49015.48615.48915.49815. 52015.54815.57915. 62215.67715.73515.80315. 88116.92016. 74516.57416. 4 1316.27016. 13015.99815. 87915. 76715. 66115.56515. 47915.39715. 32715.26115. 2 0515. 15515. 11315. 07915. 05715. 03715. 03015. 02815. 03115. 03815. 05715. 08715. 120

17. 14116.84516. 55416.25315.96115. 66415.36815.06714.77214.46914.17313.87713.58213.28012.98212 . 68612.38312.08311.78811. 49211.20010. 90110.61110. 32019.81519.79019.47519. 15918.85418.54518.23417.92517.62017. 30617. 00116. 69416.38616. 07815.76815.46015. 15114.84014.53314.22413 .91613.60813.29612.98612.67512 . 35912. 04711. 739

16. 22916.12416. 03115. 94015. 86115. 78715.72215. 66515.61715.57615. 54215.51515. 49815.49015.48615.48915. 49815. 52015. 54815. 57915.62215. 67715.73515. 80316.93516. 92016. 74516. 57416.41316.27016. 13015. 99815.87915.76715. 66115. 56515.47915. 39715.32715.26115. 20515. 15515. 11315. 07915. 05715.03715. 03015.02815. 03115. 03815. 05715.087

16. 96516. 68116.40016. 11815. 83115.55315.26814.98214.69514.41114.12713.84313.55713.26912.98312.69612. 40812. 12611. 83911. 55611. 27410. 99010.71310. 43519.79619.50319.20818.90818.61718. 32018.02717.73117.43817. 14116.84516. 55416.25315.96115.66415.36815. 06714.77214.46914.17313.87713.58213.28012.98212.68612.38312.08311. 788

16. 68416. 58116.49016. 40116.32016. 24816.18216. 12616.07616.03616. 00015.97415.95915.94915.94615.94915. 95515. 97416. 00516. 03416.07716. 13016.18516. 25317.59117.38617.20717.03616.87816. 72916. 59416.45916.33816. 22916.12416. 03115.94015. 86115.78715. 72215. 66515. 61715. 57615. 54215. 51515. 49815. 49015. 48615. 48915. 49815. 52015. 548

16.68116. 40016. 11815. 83115. 55315.26814.98214.69514.41114.12713.84313 . 55713.26912.98312.69612.40812. 12611. 83911.55611. 27410.99010. 71310.43510. 16119.50319.20818.90818. 61718.32018.02717. 73117.43817.14116.84516.55416. 25315.96115. 66415.36815.06714.77214.46914.17313.87713.58213.28012.98212.68612.38312. 08311.78811. 492

16. 58116.49016.40116. 32016.24816.18216. 12616.07616. 03616.00015.97415.95915.94915. 94615. 94915. 95515. 97416.00516.03416. 07716.13016. 18516. 25316. 32417.38617.20717.03616. 87816. 72916. 59416. 45916.33816. 22916. 12416.03115. 94015.86115. 78715.72215.66515.61715. 57615. 54215. 51515.49815.49015. 48615. 48915. 49815. 52015. 54815. 579

B-5

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0

15715815916016116216316416516616716816917017 117217 317417517617717817918018 118218 31841851861871881891901911921931941951961971981992 002012 022 032 042052062072 08

108.110.112.114.116.54.56.58.60.62.64.66.68.70.72.74 .76.78.80.82.84.86.88.90.92.94.96.98.

100.102.104.106.108.110.112.114.

54.56.58.60.62.64.66.68.70.72.74.76.78.80.82 .84.

48.4 8.48.48.4 8.4 6.46.4 6.4 6.46.46.46.46.46.4 6.4 6.4 6.46.46.46.4 6.4 6.4 6.46.46.46.4 6.46.4 6.46.46.4 6.46.46.46.46.44.44.44.44.44.44.44.44.44.44.44.442..4 ~.44 .44.44 .

11. 12410. 8 1610. 51110. 206

9. 90719. 73 019. 40119. 08018. 75318 .43 618. 11517. 79217. 46717. 15116. 83516. 51716. 19815. 87815. 55515. 23 614. 91514. 59414. 27213. 95213. 63013. 31012 . 98812. 66412 .33 512. 01211. 695

1. 37 31.1. 05310. 73210. 41310. 09719. 83 119. 63719. 29918. 96218. 63518. 29917. 96417. 63017 . 30016. 97016. 63916. 30815. 97715. 64515. 3 1314. 98 1

15. 16615. 2 1915. 27915. 35015. 42 916. 27816. 11415. 95515. 80615. 66815. 53415. 41515. 30315. 19715. 11315. 02714. 94414. 87514. 80914. 75114. 70214 . 65914 .62714. 59914. 58 114 .57014. 56914 . 57514. 58814 . 60614. 63514. 67314 . 71914. 77614 . 83814 .90716. 07615. 64215. 48715. 34 115. 20015. 08214. 96214. 85014. 74714 .65214. 56414. 48314. 41414 .34 814 .2 9214. 242

11. 411 . 12 410. 8 1610. 51110. 2 0619. 82 819. 73 019. 40119. 08018. 75318. 43 618. 11517. 79 217.4 -717.-16 .16. 716. 19815. 87815. 55515. 23 614 . 9 1514. 59414. 27213. 95213 .63 013 .3 1012 .98812. 66412. 33 512 .01211. 69511. 37311. 05310. 73210. 4 1319. 83 019 .84 119. 63 719. 29918 . 9 6218. 63 518. 29917. 96417. 63017. 30016. 97016. 63 916. 30815. 97715. 64515. 3 13

15. 12 015. 16615. 2 1915. 27915. 35016. 32716. 27816. 11415. 95515. 80615. 66815. 53415. 4 1515. 30315. 19715. 11315. 02714. 94414. 87514. 80914. 75114. 70214. 65914. 62714. 59914. 58 114. 57014. 56914. 57514 .58814. 60614. 63 514. 67 314. 71914. 77614 .83 816. 2 1615. 74315. 64215. 48715. 34 115. 20015. 08214. 96214. 85014. 74714. 65214. 56414 .48 314. 41414 .3 4814. 292

11. 49211. 2 0010. 90 110. 6 1110. 32 019. 79019. 47519. 15918. 85418. 54518. 23417. 92517. 62017. 30617. 00116. 69416. 3 8616. 07815. 76815. 46015. 15114. 84014. 53314. 22413. 91613 . 60813. 29612. 98612. 67512 . 3 5912. 04711. 73911. 43011. 12410. 81610. 51119. 82819. 73 019 .40119. 08018. 75318. 43 618. 11517. 79217 . 46717. 15116. 83 516. 51716. 1~,315. 8715. 55 .315. 236

15. 57915. 62215. 67715. 73515. 80316. 92016. 74516. 57416. 4 1316. 27016. 13015. 99815. 87915. 76715. 66115. 56515. 47915. 39715. 32715. 26115. 20515. 15515. 11315. 07915. 05715. 03715. 03 015. 02815. 03 115. 03815. 05715. 08715. 12015. 16615. 2 1915. 27916. 32716. 27816. 11415. 95515. 80615. 66815. 53415. 41515. 30315. 19715. 11315. 02714. 94414. 87514. 80914. 751

11. 20010. 90110. 61110. 32010. 02619. 47519. 15918. 85418. 54518. 23417.92517. 62017 .3 0617. 00:116. 69416. 38616. 07815. 76815. 46015. 15114. 84014. 53314. 22413 .91613. 60813 .29612 .98612 . 67512. 35912. 04711. 73911. 43 011. 12410. 81610. 51110. 2 0619. 73 019 .40119. 08018. 75318. 43618. 11517. 79217. 46717. 15116. 83 516. 51716. 19815. 87815. 55515. 23 614. 915

15. 62215. 67715. 73 515. 8 0315. 88 116.74516. 57416. 41316. 27016. 13 015. 99815. 87915. 76715. 66115. 56515. 47915. 39715. 3 2715. 26115. 20515. 15515. 11315. 07915. 05715. 03 715. 03 015. 02815. 03 115. 03815. 05715. 08715. 12 015. 16615. 2 1915. 27915. 35016. 27816. 11415. 95515. 8 0615. 66815. 53415. 4 1515. 3 0315. 19715. 11315. 02714. 94 414. 87514. 80914. 75114. 702

B-6

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.

2092 102 112 122 132 142 152 162172 182 1922 022 122 222 322422 522 62 272282 2923 023 123 223 323 423 523 623 723 823 924 024 124224 32 4424 524 624724 82492 5025 12522 532 542 552562572 582592 60

86.88.90.92.94.96.98.

100.102.104.106.108.110.112.114.

58.60.62.64.66.68.70.72.74.76.78.80.82.84.86.88.90.92 .94.96.98.

100 .102.104.106.108.110.112.

60.62.64 .66.68.70.72.74.76.

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261 78. 40. 16.170 13.498 16.522 13.570 16.415 14.029 16.072 13.95262 80. 40. 15.814 13.434 16.170 13.498 16.072 13.956 15.728 13.89263 82. 40. 15.463 13.375 15.814 13.434 15.728 13.892 15.390 13.83264 84. 40. 15.111 13.326 15.463 13.375 15.390 13.832 15.047 13.78265 86. 40. 14.760 13.282 15.111 13.326 15.047 13.783 14.705 13.74266 88. 40. 14.405 13.244 14.760 13.282 14.705 13.740 14.360 13.70267 90. 40. 14.054 13.217 14.405 13.244 14.360 13.705 14.019 13.67268 92. 40. 13.703 13.196 14.054 13.217 14.019 13.678 13.677 13.65269 94. 40. 13.347 13.188 13.703 13.196 13.677 13.658 13.332 13.64270 96. 40. 12.992 13.185 13.347 13.188 13.332 13.646 12.989 13.64271 98. 40. 12.635 13.190 12.992 13.185 12.989 13.645 12.644 13.65272 100. 40. 12.271 13.202 12.635 13.190 12.644 13.652 12.291 13.66273 102. 40. 11.912 13.220 12.271 13.202 12.291 13.663 11.947 13.68274 104. 40. 11.555 13.251 11.912 13.220 11.947 13.685 11.600 13.71275 106. 40. 11.200 13.292 11.555 13.251 11.600 13.716 11.257 13.75276 108. 40. 10.861 13.454 11.200 13.292 11.257 13.754 10.912 13.80277 110. 40. 10.483 13.397 10.861 13.454 10.912 13.801 10.570 13.85278 112. 40. 10.125 13.465 10.483 13.397 10.570 13.856 10.223 13.92279 62. 38. 19.154 13.826 19.522 13.957 19.350 14.412 18.992 14.27280 64. 38. 18.791 13.703 19.154 13.826 18.992 14.279 18.635 14.15281 66. 38. 18.433 13.586 18.791 13.703 18.635 14.154 18.282 14.03282 68. 38. 18.069 13.471 18.433 13.586 18.282 14.039 17.928 13.93283 70. 38. 17.707 13.370 18.069 13.471 17.928 13.932 17.576 13.83284 72. 38. 17.346 13.276 17.707 13.370 17.576 13.831 17.223 13.73285 74. 38. 16.984 13.190 17.346 13.276 17.223 13.734 16.872 13.65286 76. 38. 16.623 13.111 16.984 13.190 16.872 13.651 16.522 13.57287 78. 38. 16.261 13.038 16.623 13.111 16.522 13.570 16.170 13.49288 80. 38. 15.901 12.972 16.261 13.038 16.170 13.498 15.814 13.43289 82. 38. 15.537 12.917 15.901 12.972 15.814 13.434 15.463 13.37290 84. 38. 15.176 12.866 15.537 12.917 15.463 13.375 15.111 13.32291 86. 38. 14.814 12.823 15.176 12.866 15.111 13.326 14.760 13.28292 88. 38. 14.449 12.786 14.814 12.823 14.760 13.282 14.405 13.24293 90. 38. 14.087 12.756 14.449 12.786 14.405 13.244 14.054 13.21294 92. 38. 13.726 12.736 14.087 12.756 14.054 13.217 13.703 13.19295 94. 38. 13.360 12.724 13.726 12.736 13.703 13.196 13.347 13.18296 96. 38. 12.996 12.722 13.360 12.724 13.347 13.188 12.992 13.18297 98. 38. 12.626 12.729 12.996 12.722 12.992 13.185 12.635 13.19298 100. 38. 12.249 12.736 12.626 12.729 12.635 13.190 12.271 13.20299 102. 38. 11.884 12.757 12.249 12.736 12.271 13.202 11.912 13.22300 104. 38. 11.513 12.791 11.884 12.757 11.912 13.220 11.555 13.25301 106. 38. 11.148 12.825 11.513 12.791 11.555 13.251 11.200 13.29302 108. 38. 10.780 12.875 11.148 12.825 11.200 13.292 10.861 13.45303 110. 38. 10.411 12.931 10.780 12.875 10.861 13.454 10.483 13.39304 112. 38. 10.042 12.996 10.411 12.931 10.483 13.397 10.125 13.46305 62. 36. 19.313 13.356 19.693 13.489 19.522 13.957 19.154 13.82306 64. 36. 18.943 13.237 19.313 13.358 19.154 13.826 18.791 13.70307 66. 36. 18.576 13.125 18.943 13.235 18.791 13.703 18.433 13.58308 68. 36. 18.200 13.010 18.576 13.125 18.433 13.586 18.069 13.47309 70. 36. 17.831 12.911 18.200 13.010 18.069 13.471 17.707 13.37310 72. 36. 17.463 12.819 17.831 12.911 17.707 13.370 17.346 13.27311 74. 36. 17.092 12.731 17.463 12.819 17.346 13.276 16.984 13.19312 76. 36. 16.723 12.651 17.092 12.731 16.984 13.190 16.623 13.11

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209 56. 46. 19.569 16.513 19.858 16.730 19.541 17.138 19.265 16.930210 58. 46. 19.274 16.304 19.569 16.513 19.265 16.930 18.982 16.731211 60. 46. 18.972 16.105 19.274 16.304 18.982 16.731 18.694 16.541212 62. 46. 18.664 15.915 18.972 16.105 18.694 16.541 18.399 16.359213 64. 46. 18.351 15.734 18.664 15.915 18.399 16.359 18.100 16.186214 66. 46. 18.032 15.564 18.351 15.734 18.100 16.186 17.795 16.023215 68. 46. 17.708 15.403 18.032 15.564 17.795 16.023 17.485 15.869216 70. 46. 17.379 15.252 17.708 15.403 17.485 15.869 17.171 15.725217 72. 46. 17.046 15.111 17.379 15.252 17.171 15.725 16.853 15.591218 74. 46. 16.709 14.981 17.046 15.111 16.853 15.591 16.530 15.466219 76. 46. 16.368 14.861 16.709 14.981 16.530 15.466 16.204 15.351220 78. 46. 16.023 14.752 16.368 14.861 16.204 15.351 15.874 15.247221 80. 46. 15.675 14.653 16.023 14.752 15.874 15.247 15.542 15.153222 82. 46. 15.324 14.565 15.675 14.653 15.542 15.153 15.206 15.068223 84. 46. 14.971 14.488 15.324 14.565 15.206 15.068 14.868 14.995224 86. 46. 14.616 14.422 14.971 14.488 14.868 14.995 14.529 14.931225 88. 46. 14.258 14.366 14.616 14.422 14.529 14.931 14.187 14.878226 90. 46. 13.899 14.322 14.258 14.366 14.187 14.878 13.844 14.836227 92. 46. 13.539 14.289 13.899 14.322 13.844 14.836 13.499 14.804228 94. 46. 13.178 14.266 13.539 14.289 13.499 14.804 13.154 14.783229 96. 46. 12.817 14.255 13.178 14.266 13.154 14.783 12.809 14.772230 98. 46. 12.455 14.255 12.817 14.255 12.809 14.772 12.463 14.772231 100. 46. 12.094 14.266 12.455 14.255 12.463 14.772 12.117 14.783232 102. 46. 11.733 14.289 12.094 14.266 12.117 14.783 11.772 14.804233 104. 46. 11.373 14.322 11.733 14.289 11.772 14.804 11.428 14.836234 106. 46. 11.014 14.366 11.373 14.322 11.428 14.836 11.085 14.878235 108. 46. 10.656 14.422 11.014 14.366 11.085 14.878 10.743 14.931236 110. 46. 10.301 14.488 10.656 14.422 10.743 14.931 10.403 14.995237 112. 46. 9.947 14.565 10.301 14.488 10.403 14.995 10.066 15.068238 114. 46. 9.597 14.653 9.947 14.565 10.066 15.068 9.730 15.153239 116. 46. 9.249 14.752 9.597 14.653 9.730 15.153 9.397 15.247240 118. 46. 8.904 14.861 9.249 14.752 9.397 15.247 9.068 15.351241 120. 46. 8.563 14.981 8.904 14.861 9.068 15.351 8.742 15.466242 122. 46. 8.225 15.111 8.563 14.981 8.742 15.466 8.419 15.591243 124. 46. 7.892 15.252 8.225 15.111 8.419 15.591 8.101 15.725244 126. 46. 7.564 15.403 7.892 15.252 8.101 15.725 7.786 15.869245 128. 46. 7.240 15.564 7.564 15.403 7.786 15.869 7.477 16.023246 130. 46. 6.921 15.734 7.240 15.564 7.477 16.023 7.172 16.186247 54. 44. 20.176 16.319 19.830 16.216 19.828 16.327 19.858 16.730248 56. 44. 19.876 16.092 20.176 16.319 19.858 16.730 19.569 16.513249 58. 44. 19.568 15.874 19.876 16.092 19.569 16.513 19.274 16.304250 60. 44. 19.252 15.666 19.568 15.874 19.274 16.304 18.972 16.105251 62. 44. 18.931 15.467 19.252 15.666 18.972 16.105 18.664 15.915252 64. 44. 18.604 15.279 18.931 15.467 18.664 15.915 18.351 15.734253 66. 44. 18.271 15.101 18.604 15.279 18.351 15.734 18.032 15.564254 68. 44. 17.933 14.933 18.271 15.101 18.032 15.564 17.708 15.403255 70. 44. 17.589 14.775 17.933 14.933 17.708 15.403 17.379 15.252256 72. 44. 17.241 14.628 17.589 14.775 17.379 15.252 17.046 15.111257 74. 44. 16.889 14.492 17.241 14.628 17.046 15.111 16.709 14.981

258 76. 44. 16.533 14.367 16.889 14.492 16.709 14.981 16.368 14.861259 78. 44. 16.173 14.253 16.533 14.367 16.368 14.861 16.023 14.752260 80. 44. 15.810 14.150 16.173 14.253 16.023 14.752 15.675 14.653

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2 6 1 82.2 62 84.2 63 86.2 64 88.2 65 90.2 66 92 .267 94.2 68 96.2 69 98.270 100.2 7 1 102 .2 72 104.27 3 106.2 7 4 108 .275 110.27 6 112 .277 114.2 78 116.279 118.2 8 0 12 0.2 8 1 12 2 .2 82 124.2 83 12 6.2 84 12 8.2 8 5 13 0.28 6 58.287 60.288 62.2 89 64.2 90 66.29 1 68.2 92 70.2 93 72.2 94 74.2 95 76.2 9 6 78.'297 8 0.298 82 .299 84.3 00 86.3 01 88.3 02 90.3 03 92.3 04 94.3 05 96.3 06 98 .3 07 100.3 08 102 .3 09 104 .3 10 106.3 11 108.3 12 110.

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3 133 143 153 163 173 183 1932 032 132 232 33 243 2532 63 273283 2933 033 133 233 333 43 333 63 3733 833 934 034 13 4234 334 434534 63 473483 493 503 513 523 533 543 553 563 573 583 593 6036 13 623 633 64

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B-19

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0

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417 108. 36. 10.210 11.804 10.648 11.736 10.722 12.273 10.301 12.338418 110. 36. 9.774 11.885 10.210 11.804 10.301 12.338 9.881 12.417419 112. 36. 9.341 11.980 9.774 11.885 9.881 12.417 9.465 12.508420 114. 36. 8.911 12.088 9.341 11.980 9.465 12.508 9.051 12.611421 116. 36. 8.485 12.209 8.911 12.088 9.051 12.611 8.641 12.728422 118. 36. 8.062 12.343 8.485 12.209 8.641 12.728 8.234 12.857423 120. 36. 7.644 12.490 8.062 12.343 8.234 12.857 7.832 12.998424 122. 36. 7.230 12.649 7.644 12.490 7.832 12.998 7.434 13.152425 124. 36. 6.822 12.822 7.230 12.649 7.434 13.152 7.041 13.318426 126. 36. 6.419 13.007 6.822 12.822 7.041 13.318 6.653 13.496427 128. 36. 6.022 13.204 6.419 13.007 6.653 13.496 6.271 13.686428 130. 36. 5.632 13.413 6.022 13.204 6.271 13.686 5.895 13.887429 68. 34. 19.089 12.511 18.707 12.658 19.249 13.204 18.852 13.007430 70. 34. 18.671 12.319 19.089 12.511 18.852 13.007 18.450 12.822431 72. 34. 18.247 12.140 18.671 12.319 18.450 12.822 18.041 12.649432 74. 34. 17.818 11.975 18.247 12.140 18.041 12.649 17.628 12.490433 76. 34. 17.384 11.822 17.818 11.975 17.628 12.490 17.210 12.343434 78. 34. 16.945 11.683 17.384 11.822 17.210 12.343 16.787 12.209435 80. 34. 16.503 11.557 16.945 11.683 16.787 12.209 16.361 12.088436 82. 34. 16.056 11.445 16.503 11.557 16.361 12.088 15.931 11.980437 84. 34. 15.607 11.347 16.056 11.445 15.931 11.980 15.498 11.885438 86. 34. 15.154 11.263 15.607 11.347 15.498 11.885 15.062 11.804439 88. 34. 14.700 11.192 15.154 11.263 15.062 11.804 14.624 11.736440 90. 34. 14.243 11.136 14.700 11.192 14.624 11.736 14.184 11.682441 92. 34. 13.785 11.094 14.243 11.136 14.184 11.682 13.743 11.641442 94. 34. 13.326 11.065 13.785 11.094 13.743 11.641 13.301 11.614443 96. 34. 12.866 11.051 13.326 11.065 13.301 11.614 12.858 11.600444 98. 34. 12.406 11.051 12.866 11.051 12.858 11.600 12.414 11.600445 100. 34. 11.946 11.065 12.406 11.051 12.414 11.600 11.971 11.614446 102. 34. 11.487 11.094 11.946 11.065 11.971 11.614 11.529 11.641447 104. 34. 11.029 11.136 11.487 11.094 11.529 11.641 11.088 11.682448 106. 34. 10.572 11.192 11.029 11.136 11.088 11.682 10.648 11.736449 108. 34. 10.117 11.263 10.572 11.192 10.648 11.736 10.210 11.804450 110. 34. 9.665 11.347 10.117 11.263 10.210 11.804 9.774 11.885451 112. 34. 9.215 11.445 9.665 11.347 9.774 11.885 9.341 11.980452 114. 34. 8.769 11.557 9.215 11.445 9.341 11.980 8.911 12.088453 116. 34. 8.327 11.683 8.769 11.557 8.911 12.088 8.485 12.209454 118. 34. 7.888 11.822 8.327 11.683 8.485 12.209 8.062 12.343455 120. 34. 7.454 11.975 7.888 11.822 8.062 12.343 7.644 12.490456 122. 34. 7.025 12.140 7.454 11.975 7.644 12.490 7.230 12.649457 124. 34. 6.601 12.319 7.025 12.140 7.230 12.649 6.822 12.822458 126. 34. 6.183 12.511 6.601 12.319 6.822 12.822 6.419 13.007459 128. 34. 5.771 12.716 6.183 12.511 6.419 13.007 6.022 13.204460 130. 34. 5.365 12.933 5.771 12.716 6.022 13.204 5.632 13.413461 68. 32. 19.329 12.009 18.845 12.197 18.707 12.658 19.089 12.511462 70. 32. 18.895 11.810 19.329 12.009 19.089 12.511 18.671 12.319463 72. 32. 18.455 11.625 18.895 11.810 18.671 12.319 18.247 12.140464 74. 32. 18.010 11.453 18.455 11.625 18.247 12.140 17.818 11.975465 76. 32. 17.560 11.295 18.010 11.453 17.818 11.975 17.384 11.822466 78. 32. 17.105 11.150 17.560 11.295 17.384 11.822 16.945 11.683467 80. 32. 16.646 11.020 17.105 11.150 16.945 11.683 16.503 11.557468 82. 32. 16.183 10.904 16.646 11.020 16.503 11.557 16.056 11.445

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4 6947 047 147247 347447547647747847948 04814824834 844854864874 8848949049 14924 934 944954964 974 984 995005015025035045055065075085095105 115 125 135 14515516517518519520

84.86.88.90.92 .94.96.98.

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68.70.72 .74.76.78.80.82 .84.86.88.90.92.94 .96.98.

100.102.104.106.108.110.112.114 .116.118.120.122.

32.32.32.32.32.32.32.32.32.32.32.32.32.32.32.32.32.32.32.32.32.32.32.32.30.30.30.3 0.3 0.3 0.3 0.30.3 0.30.30.30.30.3 0.30.30.30.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.

15. 71715. 24814. 77614 .3 0313 . 82813.3 5112 .87412 .3 9711. 92 011. 44410. 96910. 49510. 024

9. 5559. 0888. 6268. 1677. 7127. 2626. 8166. 3775. 94 35. 5165. 095

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9. 9299. 4438. 9608. 4808. 0047. 53 37. 0666. 605

10. 80210. 71510. 64210. 58310. 53910. 51010. 49510. 49510. 51010. 53910. 58310. 64210. 71510. 80210. 90411. 02011. 15011. 29511. 45311. 62511.810o12. 00912 .22 212. 44711. 50011. 29411. 10210. 92 410. 76010. 61010. 47510. 35510. 24910. 15910. 08310. 022

9. 9779. 9469. 93 19. 93 19. 9469. 977

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16. 18315. 71715. 24814. 77 614. 30313 .82 813 .3 5112. 87412 .39711. 92 011. 44410. 96910. 49 510. 024

9. 5559. 0888. 62 68. 1677. 7127. 2626. 8166. 3775. 94 35. 516

18. 97619. 57219. 12 218. 66718. 20517. 73917. 26816. 79216. 31215. 82915. 34 314 . 85414 .3 6313 .87 113 .3 7712. 88312. 38911. 89411. 40110. 90810. 418

9. 92 99. 44 38. 9608. 4808. 0047. 53 37 .066

10. 90410. 80210. 71510. 64210. 58310. 53 910. 51010. 49510. 49510. 51010. 53910. 58310. 64 210. 71510. 80210. 90411. 02011. 15011. 29511. 45311. 62511. 81012 .00912 .22211. 74511. 50011. 29411. 10210. 92410. 76010. 61010. 47510. 35510. 24910. 15910. 08310. 022

9. 9779. 9469. 93 19. 93 19. 9469. 977

10. 02 210. 08310. 15910. 24 910. 35510. 47510. 61010. 76010. 924

1.6. 0561.5. 6071.5. 154l 4. 7001.4.24 31.3. 7851.3 .32 61.2. 8661.2. 4061..946]1..487.1. 029

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9. 5559. 0888. 6268. 1677 .7127. 262

11. 44511. 34711. 26311. 19211. 13611. 09411. 06511. 05111. 05111. 06511. 09411. 13 611. 19211. 26311. 34711. 44511. 55711. 68311. 82211. 97512. 14012. 31912. 51112.7 1612. 19712. 00911. 81011. 62511. 45311. 29511. 15011. 02010. 90410. 80210. 71510. 64210. 58310. 53910. 51010. 49510. 49510. 51010. 53910. 58310. 64210. 71510. 80210. 90411. 02011. 15011. 29511. 453

15. 60715. 15414.70014 .24 313. 78513 .32 612 . 86612 .4 0611. 94611. 48711. 02910. 57210. 117

9. 6659. 2158. 7698. 3277.8887.4547. 0256. 6016. 1835. 7715. 365

19. 32918. 89518. 45518. 01017. 56017. 10516. 64616. 18315. 71715. 24814. 77614. 30313. 82813. 35112. 87412 .3 9711. 92011. 44410.96910. 49510. 024

9. 5559. 0888. 6268. 1677 .7 127. 2626. 816

11. 34-j11. 261-11. 19a11.13tE11. 09411. 06E11. 05111. 05311. 06E11. 09411. 13 (11. 1921 1 .2 6'11. 34,11. 44!11. 55-1 1 .68-!11.82~11.97E12. 14 (12. 3 112. 51':12. 7 D12. 93:12 .00!11. 81(11. 62!11. 45:11. 29!11. 15(11. 02110. 90X10. 80:10. 71!10. 64;10. 58:10. 53!10. 51(10. 49!10. 49!10. 51(10. 53!10. 58:10. 64;10. 71!10. 80:10. 90'11. 02111. 15,11. 29!11. 45~11. 62!

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52 152 252 352452 552 652752 852953 053 153 253 353 453 553 653753853954054 154254354454554 6547548549550551552553554555556557558559560561562563564565566567568569570571572

124.126.128.13 0.

72.74.76.78.80.82 .84 .86.88.90.92 .94.96.98.

100.102.104.106.108.110.112.114.116.118.120.122.124.126.128.13 0.72.74.76.78.80.82.84.86.88.90 .92 .94.96.98.

100.102.104.106.

30.3 0.30.3 0.28.28B.2 8.2 8.28.28.2 8.28.28 .28.28.28.28.28.28.28.28.28.2 8.28.2 8.28.28.28.28.2 8.28.28.28.28.26.26.2 6.26.26.26.26.26.26.26.26.26.2 6.2 6.2 6.26.26.26.

6. 1495. 7005. 2574. 821

18. 88 118. 40417. 92017. 43 216. 94016. 44315. 94315. 43 914. 93 314. 42513. 91513 .4 0412. 89212. 38 011. 86811. 35710. 84710. 33 9

9. 83 39. 3298. 8298. 33 27. 8397. 3516. 8686. 3915. 9195. 4534. 9954. 543

19. 09918. 60518. 10517. 60017. 09016. 57616. 05815. 53715. 01314. 48713. 96013. 43 112. 90112. 37 111. 84 111. 31210. 78410. 259

11. 29411. 50011. 72011. 95410. 57110. 38610. 21710. 062

9. 9229. 7979. 6889. 5949. 5169. 4539. 4069. 3749. 3599. 3599. 3749. 4069. 4539. 5169. 5949. 6889. 7979. 922

10. 06210. 21710. 38610. 57 110. 77010. 98411. 21211. 45310. 032

9. 8419. 6659. 5059. 3609. 23 19. 1189. 02 18.9408. 8758. 8268. 7938. 7778. 7778. 79 38. 82 68. 8758. 940

6. 6056. 1495. 7005. 257

18. 29018. 88 118. 40417. 92017. 43216. 94016. 44 315. 94 315. 43 914 .93 314 .42 513. 91513 .4 0412 .89212. 38 011. 86811. 35710. 84710. 33 9

9. 83 39. 3298. 8298. 3327. 8397. 3516. 8686. 3915. 9195. 4534. 995

18. 40019. 09918 .60518. 10517. 60017. 09016. 57616. 05815. 53715. 01314. 48713. 96013 .43 112 .90112 .37 111. 84 111. 31210. 784

11. 10211. 29411. 50011. 72011. 09210. 57110. 38610. 21710. 062

9. 9229. 7979. 6889. 5949. 5169. 4539. 4069. 3749. 3599. 3599. 3749. 4069. 4539. 5169. 5949. 6889. 7979. 922

10. 06210. 21710. 38610. 57110.77010. 98411. 21210. 63910. 032

9. 8419. 6659. 5059. 3609. 23 19. 1189. 0218.9408. 8758. 8268.7938. 7778. 7778. 7938. 8268. 875

6. 8166. 3775. 94 35. 516

19. 12218. 66718. 20517. 73917. 26816. 79216. 31215. 82915. 34 314. 85414. 36313. 87113 .37712 .88312. 38911.89411.40110. 90810. 418

9. 9299. 4438. 9608. 4808. 0047. 53 37. 0666. 6056. 1495.7005. 257

18. 29018. 88118. 40417. 92017. 43216. 94016. 44315. 94315. 43914. 93314. 42513 .91513. 40412. 89212. 38011. 86811. 35710. 847

11. 62511. 81012. 00912. 22211. 29411. 10210. 92410.76010. 61010. 47510. 35510. 24910. 15910. 08310. 022

9. 9779. 9469. 93 19. 9319. 9469. 977

10. 02210. 08310. 15910. 24910. 35510. 47510. 61010. 76010. 92411. 10211. 29411. 50011. 72011. 09210. 57110. 38610. 21710. 062

9. 9229.7979. 6889. 5949. 5169.4539. 4069. 3749. 3599. 3599. 3749. 4069. 453

6. 3775. 9435. 5165. 095

18. 66718. 20517. 73917. 26816.79216. 31215. 82915. 34314. 85414. 36313. 87113 .37712. 88312. 38911. 89411.40110. 90810.4189.9299. 4438. 9608.4808. 0047 .53 37. 0666. 6056. 1495. 7005. 2574. 821

18. 88118. 40417. 92017 .43 216. 94016. 44315. 94315. 43914 .93 314. 42513.91513 .4 0412. 89212 .38 011. 86811. 35710. 84710. 339

11.81012. 00912 .22 212 .44711. 10210. 92410.76010. 61010. 47510. 35510. 24910. 15910. 08310. 02 2

9. 9779. 9469. 93 19. 93 19.9469.977

10. 02210.08310. 15910. 24910. 35510. 47510. 61010.76010. 92411. 10211. 29411. 50011. 72 011. 95410. 57110. 38610. 21710. 062

9. 9229. 7979. 6889. 5949. 5169. 4539. 40E9. 3749. 3599. 3599. 3749. 4069 .4539. 516

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573 108. 26.574 110. 26.575 112. 26.576 114. 26.577 116. 26.578 118. 26.579 120. 26.580 122. 26.581 124. 26.582 126. 26.583 128. 26.584 130. 26.585 72. 24.586 74. 24.587 76. 24.588 78. 24.589 80. 24.590 82. 24.591 84. 24.592 86. 24.593 88. 24.594 90. 24.595 92. 24.596 94. 24.597 96. 24.598 98. 24.599 100. 24.600 102. 24.601 104. 24.602 106. 24.603 108. 24.604 110. 24.605 112. 24.606 114. 24.607 116. 24.608 118. 24.609 120. 24.610 122. 24.611 124. 24.612 126. 24.613 128. 24.614 130. 24.

9.7359.2148.6968.1827.6727. 1676.6676.1735. 6845.2034.7284.261

19.32118.80918.29217.77017.24316. 71116. 17515.63715.09514.55114. 00513.45812.91012. 3 6211. 81411.26710. 72110. 1779.6359. 0968.5618.0297. 5026.9796.4625.9515.4464.9484.4573.974

9.021 10.259 8.940 10.339 9.5169.118 9.735 9.021 9.833 9.5949.231 9.214 9.118 9.329 9.6889.360 8.696 9.231 8.829 9.7979.505 8.182 9.360 8.332 9.9229.665 7.672 9.505 7.839 10.0629.841 7.167 9.665 7.351 10.217

10.032 6.667 9.841 6.868 10.38610.238 6.173 10.032 6.391 10.57110.459 5.684 10.238 5.919 10.77010.695 5.203 10.459 5.453 10.98410.945 4.728 10.695 4.995 11.21219.483 18.502 10.191 18.400 10.6399.286 19.321 9.483 19.099 10.0329.104 18.809 9.286 18.605 9.8418.938 18.292 9.104 18.105 9.6658.789 17.770 8.938 17.600 9.5058.655 17.243 8.789 17.090 9.3608.538 16.711 8.655 16.576 9.2318.438 16.175 8.538 16.058 9.1188.354 15.637 8.438 15.537 9.0218.287 15.095 8.354 15.013 8.9408.236 14.551 8.287 14.487 8.8758.202 14.005 8.236 13.960 8.8268.186 13.458 8.202 13.431 8.7938.186 12.910 8.186 12.901 8.7778.202 12.362 8.186 12.371 8.7778.236 11.814 8.202 11.841 8.7938.287 11.267 8.236 11.312 8.8268.354 10.721 8.287 10.784 8.8758.438 10.177 8.354 10.259 8.9408.538 9.635 8.438 9.735 9.0218.655 9.096 8.538 9.214 9.1188.789 8.561 8.655 8.696 9.2318.938 8.029 8.789 8.182 9.3609.104 7.502 8.938 7.672 9.5059.286 6.979 9.104 7.167 9.6659.483 6.462 9.286 6.667 9.8419.696 5.951 9.483 6.173 10.0329.925 5.446 9.696 5.684 10.238

10.169 4.948 9.925 5.203 10.45910.428 4.457 10.169 4.728 10.695

9.833 9.5949.329 9.6888.829 9.7978.332 9.9227.839 10.0627.351 10.2176.868 10.3866.391 10.5715.919 10.7705.453 10.9844.995 11.2124.543 11.453

19.099 10.03218.605 9.84118.105 9.66517.600 9.50517.090 9.36016.576 9.23116.058 9.11815.537 9.02115.013 8.94014.487 8.87513.960 8.82613.431 8.79312.901 8.77712.371 8.77711.841 8.79311.312 8.82610.784 8.87510.259 8.9409.735 9.0219.214 9.1188.696 9.2318.182 9.3607.672 9.5057.167 9.6656.667 9.8416.173 10.0325.684 10.2385.203 10.4594.728 10.6954.261 10.945

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0 0

APPENDIX C

PRINTOUTS OF ATTENUATION FUNCTION INPUT FILE

C-1

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final gm coef file for 75sites n-h20 0 11 33 0 33 55

1**** rv-la1.9813.87

2 ***1.848-14.351

3 ***1.7002.79

4 ***-.479.425

.2830.

rv-2a.2321.259

rv-5a x3.115

-.569rv-5a x2

1.07491.0823

-.00303 0..00116 0.

-.00312 0.-0.00435 4.9

-.00359 .036-.0022 -1.382

(nut vel) cor for rock 10/13/87

-1.838 0. 1.1 8..00044 -.286 .0659 -.00365

0. -.197 .0703 -.00359-1.766 .0852 2.1 8.

0. .00167 .00014 54.354 .346 -.017 .000532 -.949

40. 0. 4.1

.00001 -.228

.173 -.00767.0514 -.00281

.000189) .0002640. 0.

-.0241 -.057 .00633-.00405 -.0993 0.

3.1-.00047 -.0705 .001170. -.151 .00)418

5.15 *** tr1.95

if-anderson 15.0.67 -.00074 -.78 0.33

6 *** se-la x21.38 1.15

0.-.0028 0.

0. 6.1-. 83

7 *** se-la x41.38 1.15

8 *** se-2a x42.81 0.86

0.-.83 -.0028 10.

0. 6.1

0. 6.10.-.0028 10.-. 83

9 *** se-2a xl2.81 0.86

0.-.0028 8.

0. 6.1-. 83

10 *** se-la xl1.38 1.15

11 *** comb-la2. 1.14

0.-. 83 -.0028 8.

0. 6.1

0. 6.10.10.-1.03 -.003

12*** rv-lsv 1.Os-4.606 .999 -.0011-6.361 1.539 -.00087

13**** rv-lsv 0.4s-7.204 3.0210 -.002-7.645 2.932 -.00112

14**** rv-lsv 0.2s-3.998 1.93 -.00229-3.821 1.405 -.00134

1S***** rv-lsv O.ls-1.1056 .765 -.00259-1.583 .659 -.00155

16***** rv-lsv 0.04

.0740.

-. 326-.294

-.208

-.818 0. 1. 4.6-.00933 -. 102 .0277 -.00185

-.00705 0. 0. .000628-.783 0. 1.1 5.8

.0137 -.0192 0. .000435.0102 0. -.011 .0019

-.661 0. 1.1 9.4.00947 -.0929 .0175 -*.000591

-.0829 0.-.574

-.0541 .00260. -.00316

-1.189

-.0874 0. .001620. 1.1 10.3

-. 166 .0358 -.00175-.234 .0292 0.0. 1.1 10.3

C-2

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0.1570.749

17****-1.816-15.293

18*****-6.262-6.052

19****

-4.234-11.897

20*****-2.682-12.60

21 *****-.6092.473

22****-2.663-2.565

23**** x-1.405-1.207 -

24**** z

-.587.202 -

25****-.215 -

2.578 -

26****.04386.984 -

.2560.

rv2sv-. 8132.762rv-2sv2.369.77rv-2sv1.8810.rv-2sv1.430.rv-2sv.546-1.791

-.00315-.00163

L.Os-.000836-.00194

0.4s-.00112-.00123

0.2s-.00141-.003130. Is

-.00178-.00394

0.04s-.00237-.00302

.0079 0. -. 231.0798 -.00706 -. 180

-.378 -.00465.0158 .41 -.0283

1.946 -.0497 0.0. -. 021

.00819 -.209 .00770. 0. .00145

-.713 0..00459 -. 193 .00911

4.182 .346 -.0134-.853 0.

0. -. 163 .009214.938 .405 -.0153

0. -.03890. -. 0469 .004050. .441 -.0174

.0464 0.

.0523 -.00281.0289 0.

2.1 4.60. 23.111.000161 -.353

2.1 5.80. 16.376

2.1 9.48 0. 42.275

.000257 -.6392.1 10.3

0. 44.379.00038 -.8342.1 10.3

0. 5.474.000312 -. 327

8.5 4.6C3 rv-5sp I.Os-.00229 .214-.000866 -1.079

-.0141.178

cs rv-5sp 0.4s-.00381 .137 -.00702-.00101 -2.24 .174C'3 rv-5sp 0.2s.00363 .1 -.00446.00124 -1.084 .124x'3 rv-5sp 0. ls.00436 .0822 -.00328-.00137 -2.138 .0784x's rv-5sp 0.04

-.00393 .0608 -.00147.00176 -3.727 .0743

.000159-.0116 0.

.121 .00797

.00029-. 0126 -2.922.0586 .00116

.000227 -.0478-.00747 -5.279

.06638.4 5.8

.0

.638 -. 1218.3 9.4006420000037 -.084

10.3.0126 -.00029000001 .0179

0. 0. 8.2.00029 -.0795

-. 00223 -11.56 .l0. 0. 8.1

.000124 -. 177-.00167 -24.047

10.3.0379 -.00188

271.010.28

1.010.29

1.010.30

1.010.31

1.010.

*** trif-lee.3690.

*** trif-lee.350.

*** trif-lee.2910.

*** trif-lee.2310.

*** trif-lee.2090.

sv= 1.0-1.835

0.5sv=0.4-1.772

0.5sv=0.2

-1.5770.5

sv=O.l-1.5710.5

3.2-. 035

3.2-. 006

3.2.037

3.2.072

* 15. 0. 12.1-.0011 -1.17 1.12

* 15. 0. 12.1-.0011 -1.17 1.217

* 15. 0. 12.1-. 0011 -1.17 1.203

* 15. 0. 12.1-. 0011 -1.17 1.197

* 15. 0. 12.1-. 0011 -1.17 1.177

1.086 2001.086 9.1

1.

.982

.99

.989

1.002

9.1

sv=0.04-1.903 3.20.5 .08

32 **** x'2 n-h--sp rv-5a,v 1.Os

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-.479 1.0749 -.02.425 1.0823 -.00

33 **** x'2 n-h-sp rv--.479 1.0749 -.02.425 1.0823 -.00,

34 **** x'2 n-h--sp rv--.479 1.0749 -.02.425 1.0823 -.00

35 **** x'2 n-h-sp rv-

41 -.057 .C405 -. 0993 0-Sa,v 0.4s 2.41 -.057 .C405 -.0993 0-5a,v 0.2s 2.41 -.057 .A405 -.0993 0-5a,v 0.ls 3.

)061

00)063'

696)063:

507)063'

i.91)063'

-.00047 -.07050. -.1512002.00 9.1-.00047 -.07050. -.1512002.696 9.1-.00047 -.07050. -. 1512003.507 9.1

3 -.00047 -.07050. -. 1512004.91 9.1

3 -.00047 -.07050. -.151

2000. 6.1

.00117.00418

9.1.00117

.004189.1

.00117.00418

9.1.00117

.004189.1

.00117.004186.]L

-.479 1.0749 -.0241 -.057.425 1.0823 -.00405 -.0993

36 **** x'2 n-h--sp rv-5a,v 0.04s-. 479 1.0749 -.0241 -.057.425 1.0823 -.00405 -.0993

37**** n-h-sp se-la x2 l.Os-8.30 2.3 -. 83 -.0012 C.294 1.15 -. 83 -.0028

38**** n-h-sp se-la x2 0.4s-8.30 2.3 -. 83 -.0012 C-.62 1.15 -. 83 -.0028

39**** n-h--sp se-la x2 0.2s-8.30 2.3 -. 83 -.0012 C-1.316 1.15 -. 83 -.0028

40**** n-h--sp se-la x2 0.ls-8.30 2.3 -. 83 -.0012 C-2.127 1.15 -. 83 -.0028

41**** n-h--sp se-la x2 0.04s-8.30 2.3 -. 83 -.0012 C-3.53 1.15 -. 83 -.0028

42**** rv-5sv x2 1.Os-8.924 2.8 -.00128 -. 157-12.484 3.846 -.000474 -.892

43 rv-Ssv x2 0.4s-4.267 1.546 -.00455 -.076-5.317 1.866 -.000746 -1.061

44****** rv-Ssv x2 0.2s

0

0

0.

0.0.

0.0.

0.0.

0.00.0.0.O.O.O.

O.0.

O.

2000. 6.1 6.1

2000. 6.1 6.1I

2000. 6.1 6.1

2000. 6.1 6.1

.173 7.1.0000112 0.

-. 1'310.

-.249 0.0. .0471

0.7.1

.00047-.115

-.0-2.667 1.159 -.011-2.806 1.089 -.001

45****** rv-5sv x2-2.104-.191

46****-1.8924.084

47****-8.30.294

.993.458rv-Ssv.910.

n-h--sp2.31.15

-.017-.002C

x2-. 02240.

se-la-. 83-. 83

8 -.055957 -1.221

O.ls1 -.0459)8 -2.333

0.04s-.0417

-4.73 0.x3,x41.0s

-.0012 8-.0028

.(

11802780522)356)413

0. 0.7.1

-.000187 -.024.000095 .05780. 7.1-.000287 -.031E

.00613-.0526

.00838

12 .000439

.0005640. .0002 .298 -.0211-.0297 0. 7.1.0053 -.000374 -.0398 .000692

0. .557 -.02420. 2000. 6.1 6.1

.00.00. 2000. 6.1 6.148**** n-h--sp se-la x3,x40.4s

C-4

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0

-8.30 2.3 -. 83-.62 1.15 -. 83

49**** n-h-sp se-la x3,-8.30 2.3 -. 83-1.316 1.15 -. 83

50**** n-h-sp se-la x3,-8.30 2.3 -. 83-2.127 1.15 -. 8351**** n-h--sp se-la x3,

-8.30 2.3 -.83-3.53 1.15 -.83

52*** n-h-sp se-2a,v xl-5.419 1.73 -. 831.72 .86 -. 83

53*** n-h--sp se-2a,v xl-5.419 1.73 -. 830.81 .86 -. 83

54*** n-h--sp se-2a,v xl-5.419 1.73 -. 83.114 .86 -. 83

55*** n-h--sp se-2a,v xl-5.419 1.73 -. 83-. 697 .86 -. 83

56*** n-h-sp se-2a,v xl-5.419 1.73 -.83-2.10 .86 -. 83

57*** rv-lsv 1.Os-4.606 .999 -.0011-6.361 1.539 -.00087

58**** rv-lsv 0.4s

-.0012-.0028,x40.2s-.0012-.0028

,x40. Is-.0012-. 0028

8.08.0

0.8.0

8.00.

8.08.0

,x40.04s 0.-.0012 8.0-.0028 8.0,x4 1.Os 0.-.0012 8.-.0028 8.,x4 0.4s 0.-.0012 8.-.0028 8.,x4 0.2s 0.-.0012 8.-.0028 8.,x4 O.ls 0.-.0012 8.-.0028 8.,x4 0.04s 0.-.0012 8.-.0028 8.

-. 818

2000. 6.1 6.1

2000. 6.1 6.1

2000. 6.1 6.1

2000. 6.1 6.1

2000. 6.1 6.1

2000. 6.1 6.1

2000. 6.1 6.1

2000. 6.1 6.1

0. 1. 8.0

-7.204 3.0210-7.645 2.932

59**** rv-lsv-3.998 1.93-3.821 1.405

60***** rv-lsv-1.1056 .765-1.583 .659

61***** rv-lsv0.157 .2560.749 0.

62**** rv2sv-1.816 -. 813-15.293 2.762

63***** rv-2sv-6.262 2.369-6.052 .77

64**** rv-2sv

-.002.00112

0.2s-.00229

-.001340. Is

-.00259-.00155

0.04-.00315-.00163

l.Os.000836-.00194

0.4s.00112.001230.2s

.0740.

-.326-.294

-.208-.0829

-.05410.

.0079.0798

.01581.946

.008190.

-.00933-. 00705-.783

.0137.0102

.661.00947

-. 1020.

0.-. 0192

0.0. I

.0277 -.001850. .000628

1.1 8.00. .000435

-.011 .00191.1 8.0

-.0929 .0175 -.0005910. -.0874 0. .00162

-. 574 0. 1.1 8.0.0026 -. 166 .0358 -. 00175

-.00316 -.234 .0292 0.-1.189 0. 1.1 8.00. -. 231 .0523 -.00281

-.00706 -. 180 .0289 0.-.378 -.00465 2.1 8.

.41 -.0283 0. 23.111-.0497 0. .000161 -. 353

0. -.021 2.1 8.-.209 .0077 0. 16.376

0. .00145-.713 0. 2.1 8.0

C-5

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0 S

-4.234 1.881 -.00141 .00459 -.193 .00918 0. 42.275-11.897 0. -.00313 4.182 .346 -.0134 .000257 -.639

65***** rv-2sv 0.ls -.853 0. 2.1 8.0-2.682 1.43 -.00178 0. -.163 .00921 0. 44.379-12.60 0. -.00394 4.938 .405 -.0153 .00038 -.834

66***** rv-2sv 0.04s 0. -.0389 2.1 8.0-.609 .546 -.00237 0. -.0469 .00405 0. 5.4742.473 -1.791 -.00302 0. .441 -.0174 .000312 -. 327

C-6

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APPENDIX D

PRINTOUTS OF SEISM 1 CODE GENERALIZED ATTENUATION FORMULAE

Coefficients and exponents may be changed to modify these formulae to the preference of each expertor to upgrade the formulae should new data become available. An earlier version of this code containedother attenuation formulae based on Modified Mercalli Intensities (MMI) of earthquake damage.Radically different approaches to determining vibratory ground motion attenuation may requiredevelopment of other equation types and additional coding to incorporate them.

D-1

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0 0

cffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff

c ******** functions for prediction models

cffffffffffffffffffffffffffffffffffffffffffffffffffffff1-fffffffffffffff

c model a (model index-i)c boore-atkinson rv-model

real*8 function amodel (xm,d,c)

c IMPLICIT STATEMENT

implicit real*8 (a-h,o-z)

dimension c(l)

r-dsqrt(d**2+c(20)**2)xlr-dloglO(r)xm2-xm**2xm3-xm*xm21-0if (r.gt.100.) 1-10v-c(l+l)+c(2+1)*xm+c(3+1)*r+c(4+1)*xm2+c(5+1)*xm3+-c(6+1)*xm*xlr

& +c(7+1)*xm2*xlr+c(8+1)*xm3*xlrif (r.gt.100.) go to 50v-v-xlrgo to 60

50 v-v+c(9)*xlr60 amodel-v*2.3026

returnend

D-2

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c model b (model index-2)c torro-mcguire rv-model

real*8 function bmodel (xm,d,c)

c IMPLICIT STATEMENT

implicit real*8 (a-h,o-z)

dimension c(l)

r-dsqrt(d**2+c(20)**2)sr-dsqrt(r)xlr-dloglO(r)xm2-xm**2xm3-xm2*xmif (r.gt.l00.) go to 100v-c(l)+c(2)*xm+c(3)*r-xlr+c(5)*xm2+c(6)*xm3+c(7)*xm*r& +c(4)*(xm-4.25)*(xm-8.)*dsin(3.1415926535898*(xm-4.5))go to 200

100 v-c(ll)+c(12)*xm+c(13)*r+c(14)*xlr+c(15)*xm2+c(16)*xm3+c(17)*xm*r& +c(18)*xm*xlr+(c(8)+c(9)*xm2+c(10)*xm3)/sr

200 bmodel-v*2.3026

returnend

D-3

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c model c (index-3)

c expert 2's rv-accel model

real*8 function cmodel (xm,d,c)

c IMPLICIT STATEMENT

implicit real*8 (a-h,o-z)

dimension c(l)

xm2-xm**2xm3-xm2*xm1-0h-2.5*(xm-1.)if (xm.lt.5.) h-5.*(xm-3.)r-dsqrt(d**2+h**2)xlr-dloglO(r)if (r.gt.100.) go to 100if (xm.le.4.5) 1-10v-c(1+1)+c(2+1)*xm+c(3+1)*r-xlr+c(4+1)*xm2+c(5+-1)*xm*r

& +c(6+1)*xm2*r +c(7+1)*xm*xlr+c(8+1)*xm3*xlrgo to 200

100 v-2.772+.248*xm-.00119*r-3.432*xlr+.000135*xm*r& +.501*xm*xlr-.0288*xm2*xlr+.00208*dcos(8.378*(xlr-2.))

200 cmodel-v*2.3026

returnend

D-4

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c d model (index-4)

c expert 3's rv-5a accel model

real*8 function dmodel (xm,d,c)

c IMPLICIT STATEMENT

implicit real*8 (a-h,o-z)

dimension c(l)

xm2-xm**2xm3-xm2*xmr-dsqrt(d*d+64.)xlr-dloglO(r)if (r.gt.100.) go to 100v-c(l)+c(2)*xm+c(3)*r-xlr+c(4)*xm2+c(5)*xm2*r+c(6)*xm*xlr& +c(7)*xm2*xlr+c(8)*xm3*xlrgo to 200

100 v-c(ll)+c(12)*xm+c(13)*r+c(14)*xlr+c(15)*xm2+c(16)*xm3+c(17)*xm*r& +c(18)*xm3*xlr-.0197*dcos(8.378*(xlr-2.))

200 dmodel-v*2.3026

returnend

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0

c model e (model index - 5)

c trifunac-anderson accel model

real*8 function emodel (xi,d,ald,c,icat)

c IMPLICIT STATEMENT

implicit real*8 (a-h,o-z)

dimension c(l)

r-dif (r.lt.c(9)) r-c(9)alr-dlog(r)xsit-O.if (icat.eq.l) xsit-2.if (icat.eq.2.or.icat.eq.3) xsit-l.

if (icat.eq.6.or.icat.eq.7) xsit-l.

emodel-c(l)+c(2)*xi+c(3)*r+c(4)*alr+c(5)*xsit

returnend

D-6

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U

c model f (model index - 6)c

real*8 function fmodel (xm,d,c,l)

c IMPLICIT STATEMENT

implicit real*8 (a-h,o-z)

dimension c(l)

if (c(5).gt.l.) go to 100if (xm.lt.5.) h-5.*(xm-3.)if (xm.ge.5.) h-2.5*(xm-1.)go to 101

100 h-c(5)101 r-dsqrt(d**2+h**2)

fmodel-c(l+l)+c(2+1)*xm+c(3+1)*dlog(r)+c(4+1)*r

returnend

D-7

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c model g (model index-7)

c expert 2's rv spectral model

real*8 function gmodel (xm,d,c)

c IMPLICIT STATEMENT

implicit real*8 (a-h,o-z)

dimension c(l)

xm2-xm**2xm3-xm*xm2h-2.5*(xm-1.)r-dsqrt(d*d+h*h)xlr-dloglO(r)if (r.gt.100.) go to 100v-c(l)+c(2)*xm+c(3)*r-xlr+c(4)*xm2+c(5)*xm*r+c(6)*xm

2*r +

& c(7)*xm*xlr+c(8)*xm3*xlr+c(20)*dsin(l.57*(xm-6.5))

go to 200100 v-c(ll)+c(12)*xm+c(13)*r+c(14)*xlr+c(15)*xm

2+c(l6 )*xm*r +

& c(17)*xm*xlr+c(18)*xm2*xlr+c(9)*dcos(8.378*(xlr 2.)) +

& c(l0)*dcos(l.57*(xm-5.))200 gmodel-v*2.3026

returnend

D-8

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a

c model h (index - 8)

c expert 3's rv-Ssv model for spectra

real*8 function hmodel (xm,d,c)

c IMPLICIT STATEMENT

implicit real*8 (a-h,o-z)

dimension c(l)

xm2-xm**2xm3-xm2*xmr-dsqrt(d*d+c(20)*c(20))xlr-dloglO(r)if (r.gt.100.) go to 200if (c(19)-8.4) 70,70,71

70 cs-O.cc-1.go to 75

71 cs-l.cc-0.

75 v-c(l)+c(2)*r-xlr+c(3)*xm2+c(4)*xm3 +c(5)*xm*r +& (c(6)*xm +c(7)*xm2 + c(8)*xm3)*xlr +& c(9)*(cs*dsin(2.098*(xm-5.))+cc*dcos(l.047*(xm-5.)))go to 300

200 sr-l./dsqrt(r)v-c(ll)+c(12)*r+c(13)*xlr +c(14)*xm2 + c(15)*xm3 + c(16)*srif (c(19).eq.8.1) v-v + .000202*xm*r -.0225*dcos(8.378*(xlr-2.14))if (c(l9).eq.8.2.or.c(19).eq.8.3)

& v-v + c(17)*xm3*r + c(18)*xm*xlr + c(l0)*xm3*xlrif (c(19).lt.8.4) go to 300cs-O.if (c(19).eq.8.5) cs-l.v- v + (c(17)*xm + c(18)*xm2 +c(1O)*xm3)*xlr& - cs*.0337*dcos(3.1415926535898*(xm-5.))

300 hmodel-v*2.303

returnend

D-9

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S

C model xi (index - 9 )

c expert 2's n-h spectral model using his rv-5a, v models

real*8 function ximod (xm,d,c,l)

c IMPLICIT STATEMENT

implicit real*8 (a-h,o-z)

dimension c(l)

if (l.eq.10) go to 100h-2.5*(xm-1.)xm2-xm**2xm3-xm2*xm

c vel partr-dsqrt(d**2+h**2)xlr-dloglO(r)if (r.gt.100.) go to 50v--3.169 + 1.024*xm - .0245*r - xlr -.0206*xm2 + .00587*xm*r -& .000348*xm2*r -.000 87*xm2*xlr -.0l62*dsin(1.57*(xm-6.5))go to 75

50 v--5.398 +1.998*xm-.00026*r -1.663*x:Lr -.129*xm2 +.0198*xm2*xlr& +.0144*dcos(1.57*(xm-5.))

c note the .22 is the log of the amp fact for n-h velto sv75 ximod-(v+.22)*2.303

return

100 continue

c accel partv-cmodel(xm,d,c)

c note v has been converted to log base e in cmodelximod-v-c(9)

returnend

D-10