STUDY OF LTPP LABORATORY RESILIENT MODULUS TEST DATA AND RESPONSE CHARACTERISTICS, FINAL REPORTPUBLICATION NO. FHWA-RD-02-051
OCTOBER 2002U.S. Department of Transportation
Federal Highway Administration
Research, Development, and Technology
Turner-Fairbank Highway Research Center
6300 Georgetown Pike
McLean, VA 22101-2296
ForewordThe elastic or resilient modulus of pavement materials is an important material property in any mechanistically based design/analysis procedure for flexible pavements. Repeated load resilient modulus tests are being performed on all unbound materials and soils of the Specific Pavement Studies (SPS) and General Pavement Studies (GPS) test sections that are in the Federal Highway Administration (FHWA) Long Term Pavement Performance (LTPP) program in accordance with LTPP test protocol P46. Previous studies have shown that the resilient modulus test results can be affected by sampling technique, testing procedure, and errors that can occur during the testing program. Thus, the FHWA sponsored a detailed review of the resilient modulus test results that have a Level E status in the LTPP database, i.e., they have passed all levels of the quality control (QC) checks.
This report documents the first comprehensive review and evaluation of the resilient modulus test data measured on pavement materials and soils recovered from the LTPP test sections. The resilient modulus test data were found generally to be in excellent condition with less than 10 percent of the tests exhibiting potential anomalies or discrepancies in the data.
The resilient modulus data were further investigated to evaluate relationships between resilient modulus and the physical properties of the unbound materials and soils. The primary result from these studies is that the resilient modulus can be reasonably predicted from the physical properties included in the LTPP database, but there is a bias present in the calculated values. Thus, until additional test results become available to improve or confirm these relationships, it is recommended that at least some laboratory tests be performed to measure the resilient modulus for unbound pavement materials and soils.
T. Paul Teng, P.E.
Director
Office of Infrastructure
Research and Development
NoticeThis document is disseminated under the sponsorship of the Department of Transportation in the interest of information exchange. The United States Government assumes no liability for its contents or use thereof. This report does not constitute a standard, specification, or regulation.
The United State Government does not endorse products or manufacturers. Trade and manufacturers' names appear in this report only because they are considered essential to the object of the document.
Technical Report Documentation Page1. Report No.: FHWA-RD-02-051
2. Government Accession No.:
3. Recipient's Catalog No.:
4. Title and Subtitle: Study of LTPP Laboratory Resilient Modulus Test Data and Response Characteristics
5. Report Date: OCTOBER 2002
6. Performing Organization Code:
7. Author(s): Amber Yau and Harold L. Von Quintus
8. Performing Organization Report No.: 3032.1
9. Performing Organization Name and Address: Fugro-BRE, 8613 Cross Park Drive, Austin, TX 78754
10. Work Unit No. (TRAIS): C6B
11. Contract or Grant No.: DTFH61-95-C-00028
12. Sponsoring Agency Name and Address: Office of Engineering R & D Federal Highway Administration, 6300 Georgetown Pike, McLean, Virginia 22101-2296
13. Type of Report and Period Covered: June 2000-October 2001 Final Report
14. Sponsoring Agency Code: HCP 30-C
15. Supplementary Notes: Contracting Officer's Technical Representative (COTR): Cheryl Allen Richter, HRDI-13
16. Abstract:
The resilient modulus of every unbound structural layer of the Long Term Pavement Performance (LTPP) Specific Pavement and General Pavement Studies Test Sections is being measured in the laboratory using LTPP test protocol P46. A total of 2,014 resilient modulus tests have passed all quality control checks and are included in the LTPP database with a Level E data status. As of October 2000, there were 1,639 resilient modulus tests yet to be performed. In some cases, these missing tests may have been performed, but did not achieve a Level E status (did not pass all quality control checks) in the LTPP database. However, these test results have not been evaluated in detail. This report documents the first comprehensive review and evaluation of the resilient modulus test data measured on pavement materials and soils recovered from the LTPP test sections.
The resilient modulus data were reviewed in detail to identify anomalies or potential errors in the database. From this review, a total of 185 resilient modulus tests were identified with possible problems or data entry errors. These tests were reported to FHWA for further review and/or retesting. The resilient modulus test data were found generally to be in excellent condition with less than 10 percent of the tests exhibiting potential anomalies or discrepancies in the data.
The resilient modulus test data were then studied for the effect of test variables, such as the test and sampling procedures, on the resulting resilient moduli. These data were analyzed by material code for the base and subbase aggregate layers and by soil type for the subgrade. Sampling technique (auger versus test pit) was found to have the most effect on the crushed stone aggregate and uncrushed gravel base materials. For the subgrade soils, sampling technique (Shelby tubes versus auger samples) had the most effect on the clay soils. Sampling technique was found to have little to no effect on the sand base/subbase materials and sand soils.
The resilient modulus data were further investigated to evaluate relationships between resilient modulus and the physical properties of the unbound materials and soils. Using nonlinear regression optimization techniques, equations for each base and soil type were developed to calculate the resilient modulus at a specific stress state from physical properties of the base materials and soils. The primary result from these studies is that the resilient modulus can be reasonably predicted from the physical properties included in the LTPP database, but there is a bias present in the calculated values. Thus, until additional test results become available to improve or confirm these relationships, it is recommended that at least some laboratory tests be performed to measure the resilient modulus for unbound pavement materials and soils.
17. Key Words: Resilient modulus, LTPP.
18. Distribution Statement: No restrictions. This document is available to the public through the National Technical Information Service, Springfield, VA 22161.
19. Security Classification (of this report): Unclassified
20. Security Classification (of this page): Unclassified
21. No. of Pages: 173
22. Price:
Form DOT F 1700.7 (8-72)
Reproduction of completed page authorized
SI* (MODERN METRIC) CONVERSION FACTORSApproximate Conversions to SI Units
Length:
inches (in) multiply by 25.4 to get millimeters (mm)
feet (ft) multiply by 0.305 to get meters (m)
yards (yd) multiply by 0.914 to get meters (m)
miles (mi) multiply by 1.61 to get kilometers (km)Area:
square inches (in2) multiply by 645.2 to get square millimeters (mm2)
square feet (ft2) multiply by 0.093 to get square meters (m2)
square yard (yd2) multiply by 0.836 to get square meters (m2)
acres (ac) multiply by 0.405 to get hectares (ha)
square miles (mi2) multiply by 2.59 to get square kilometers (km2)Volume:
fluid ounces (fl oz) multiply by 29.57 to get milliliters (mL)
gallons (gal) multiply by 3.785 to get liters (L)
cubic feet (ft3) multiply by 0.028 to get cubic meters (m3)
cubic yards (yd3) multiply by 0.765 to get cubic meters (m3)
NOTE: volumes greater than 1000 L shall be shown in m3Mass:
ounces (oz) multiply by 28.35 to get grams (g)
pounds (lb) multiply by 0.454 to get kilograms (kg)
short tons - 2000 lb (T) multiply by 0.907 to get megagrams or "metric ton" (Mg or "t")Temperature (exact degrees):
Fahrenheit (°F) multiply by 5 (F-32)/9 or (F-32)/1.8 to get Celsius (°C)Illumination:
foot-candles (fc) multiply by 10.76 to get lux (lx)
foot-Lamberts (fl) multiply by 3.426 to get candela/m2 (cd/m2)Force and Pressure or Stress:
poundforce (lbf) multiply by 4.45 to get newtons (N)
poundforce per square inch (lbf/in2) multiply by 6.89 to get kilopascals (kPa)Approximate Conversions From SI Units
Length:
millimeters (mm) multiply by 0.039 to get inches (in)
meters (m) multiply by 3.28 to get feet (ft)
meters (m) multiply by 1.09 to get yards (yd)
kilometers (km) multiply by 0.621 to get miles (mi)Area:
square millimeters (mm2) multiply by 0.0016 to get square inches (in2)
square meters (m2) multiply by 10.764 to get square feet (ft2)
square meters (m2) multiply by 1.195 to get square yards (yd2)
hectares (ha) multiply by 2.47 to get acres (ac)
square kilometers (km2) multiply by 0.386 to get square miles (mi2)Volume:
milliliters (mL) multiply by 0.034 to get fluid ounces (fl oz)
liters (L) multiply by 0.264 to get gallons (gal)
cubic meters (m3) multiply by 35.314 to get cubic feet (ft3)
cubic meters (m3) multiply by 1.307 to get cubic yards (yd3)Mass:
grams (g) multiply by 0.035 to get ounces (oz)
kilograms (kg) multiply by 2.202 to get pounds (lb)
megagrams or "metric ton" (Mg or "t") multiply by 1.103 to get short tons - 2000 lb (T)Temperature (exact degrees):
Celsius (°C) multiply by 1.8C+32 to get Fahrenheit (°F)Illumination:
lux (lx) multiply by 0.0929 to get foot-candles (fc)
candela/m2 (cd/m2) multiply by 0.2919 to get foot-Lamberts (fl)Force and Pressure or Stress:
newtons (N) multiply by 0.225 to get poundforce (lbf)
kilopascals (kPa) multiply by 0.145 to get poundforce per square inch (lbf/in2)*SI is the symbol for the International System of Units. Appropriate rounding should be made to comply with Section 4 of ASTM E380.
(Revised March 2002)
TABLE OF CONTENTSBACKGROUND
STUDY OBJECTIVES
SCOPE OF REPORT
2. REVIEW OF RESILIENT MODULUS TEST DATA
IDENTIFICATION OF MISSING RESILIENT MODULUS TESTS
RESILIENT MODULUS CONSTITUTIVE EQUATION
IDENTIFICATION OF TEST DATA ANOMALIES
3. EFFECT OF SAMPLING TECHNIQUE ON RESILIENT MODULUS
DATA GROUPS EVALUATED - SOURCES OF VARIABILITY IDENTIFICATION OF OUTLIERS
COMPARISON OF RESILIENT MODULUS TEST RESULTS
Effect of Stress StateSUMMARY
Unbound Aggregate Layers - Test Pit Versus Auger Samples
Soils - Test Pit Versus Auger Samples
Soils - Shelby Tubes (Undisturbed) Versus Recompacted (Disturbed) Samples
4. EFFECT OF PHYSICAL PROPERTIES ON RESILIENT MODULUS
PHYSICAL PROPERTIES USED IN STUDY
STATISTICAL PROCEDURE
CORRELATION STUDY FOR MODEL DEVELOPMENT
Effect of Material/Soil TypeSUMMARY
Unbound Aggregate Base/Subbase Materials
Subgrade Soils
5. SUMMARY AND FUTURE RECOMMENDATIONS
FINDINGS AND OBSERVATIONS
RECOMMENDATIONS
APPENDIX A: SUMMARY OF k-COEFFICIENTS FOR THE LTPP RESILIENT MODULUS TESTS
APPENDIX C: SUMMARY OF THE FLAGGED RESILIENT MODULUS TESTS BY ANOMALY TYPE
LIST OF TABLES1. Summary of completed and missing resilient modulus tests as of the October 2000 LTPP data release
4. Summary of identified anomaly types
5. Data groups for the base/subbase and subgrade soils
13. Summary comparison of the resilient modulus test results for different sampling techniques
14. Summary of the MR physical property regression variables
18. Resilient modulus tests showing significant effect of confining pressure
19. Resilient modulus tests with a sudden drop and then an increase in resilient modulus
21. Resilient modulus tests that result in lower resilient moduli for the higher confining pressures
23. Resilient modulus tests with potential data entry error
45. Results from the nonlinear optimization regression study for the combined subgrade soil data set
LIST OF FIGURES9. Repeated-load resilient modulus test results for section 014073, layer 3, at the approach end
10. Repeated-load resilient modulus test results for section 480802, layer 3, at the leave end
11. Repeated-load resilient modulus test results for section 352007, layer 2, at the approach end
12. Repeated-load resilient modulus test results for section 390209, layer 2, at the approach end
13. Repeated-load resilient modulus test results for section 481093, layer 2, at the approach end
20. Sample from test section 473104, layer 2, at the approach end shows possible data entry error
24. Graphical comparison of the predicted and measured resilient modulus for the sand base materials
58. Sample from test section 014073, layer 3, at the approach end shows possible data entry error
59. Sample from test section 014084, layer 2, at the leave end shows possible data entry error
60. Sample from test section 124106, layer 2, at the approach end shows possible data entry error
61. Sample from test section 124106, layer 3, at the approach end shows possible data entry error
66. Residuals, R, for the sand (LTPP material code 306) resilient modulus prediction equation.
70. Residuals, R, for the resilient modulus prediction equation for all subgrade soils
71. Residuals, R, for the gravel soils resilient modulus prediction equation
72. Residuals, R, for the sand soils resilient modulus prediction equation
73. Residuals, R, for the silt soils resilient modulus prediction equation
74. Residuals, R, for the clay soils resilient modulus prediction equation
The elastic or resilient modulus of pavement materials is an important material property in any mechanistically based design/analysis procedure for flexible pavements. In fact, the resilient modulus (MR) is the material property required for the 1993 American Association of State Highway and Transportation Officials (AASHTO) Design Guide, which is an empirically based design procedure, and is the primary material input parameter for the 2002 Design Guide.(1) The 2002 Design Guide is being developed based on mechanistically based principles under National Cooperative Highway Research Program (NCHRP) Project 1-37A, "Development of Design Procedure for New and Rehabilitated Pavements."
Repeated load resilient modulus tests are being performed on all unbound materials and soils of the Specific Pavement Studies (SPS) and General Pavement Studies (GPS) test sections that are in the Federal Highway Administration (FHWA) Long Term Pavement Performance (LTPP) program in accordance with LTPP test protocol P46.(2) The MR of unbound pavement materials and soils is a measure of the elastic modulus of the material at a given stress state. It is mathematically defined as the applied deviator stress divided by the "recoverable" strain that occurs when the applied load is removed from the test specimen.
MR (resilient modulus) equals sigmad divided by varepsilonr (Equation 1)Where:
sigmad = applied deviator stress in a repeated load triaxial test.
varepsilonr = recoverable or resilient strain.The MR measured at different stress states have been included in the LTPP Information Management System (IMS), but the test results have not been evaluated for use in future research studies.
Previous studies have shown that the resilient modulus test results can be affected by sampling technique, testing procedure, and errors that can occur during the testing program. Some of these errors include incorrect conditioning/stress sequence, leaks in the membrane, incorrect stress levels, unstable Linear Variable Differential Transducer (LVDT) clamps attached to the specimen, exceeding the LVDT linear range limits, and specimen disturbance at the higher stress states. Thus, FHWA authorized a detailed review of the resilient modulus test results that have a Level E status in the LTPP database, i.e., they have passed all levels of the quality control (QC) checks. This report summarizes the findings from the detailed review of the resilient modulus test data.
This study focused on determining anomalies in the unbound resilient modulus data in the database to ensure data quality and to identify any bias between different data sets. The MR data were extracted first from the April 2000 data release and updated with additional MR tests from the October 2000 release. The MR data were obtained from the TST_UG07_SS07_WKSHT_SUM table in the IMS. The following tasks define the work performed to accomplish the goals of the study:
Task 1: Identify any and all of the repeated load resilient modulus data for unbound pavement materials and soils that are not at Level E.
Task 2: Review and evaluate the resilient modulus data to identify any anomalies in the database.
MR tests with potential anomalies were flagged and a "cleaned" data set was used to determine any bias in the data and identify other factors that influence the tests results. The cleaned data set also was used to perform correlation studies between the MR of the selected constitutive equation and the physical properties of the unbound materials and soils in support of NCHRP Project 1-37A.
This report summarizes the review of the resilient modulus test results that have a Level E status in the LTPP database. The report is divided into five chapters, including the introduction (chapter 1). Chapter 2 provides the process of identifying missing tests and anomalies in the Level E data. Chapter 3 discusses the effect of test variables on resilient modulus. A correlation between the MR determined from the selected constitutive equation and physical properties of the tests specimens is presented in chapter 4. Chapter 5 summarizes all of the findings and provides recommendations for future research.
IDENTIFICATION OF MISSING RESILIENT MODULUS TESTS
A total of 1,970 resilient modulus tests were extracted from the April 2000 LTPP database (most current at the time of data extraction) of unbound materials and soils. The October 2000 data release was cross-checked with the April release for additional tests to update the review and findings. A total of 44 additional resilient modulus tests were extracted from the October release, resulting in a total of 2,014 MR tests.
The resilient modulus tests in the LTPP database were organized by State and layer type for each SPS project and by State, layer number, layer type, and section identification number for the GPS test sections. The data were cross-checked with the required number of resilient modulus tests per layer for each project to determine the number of missing tests.
Table 1 summarizes the number of completed and missing resilient modulus tests by layer type as of the October 2000 data release. The numbers of completed and missing tests do not add up to the number of tests required because extra tests were performed. The resilient modulus tests in the database that are counted as complete are identified as Level E data. The number of missing tests includes those MR tests that have not been performed plus those that have been completed, but which have not passed all QC levels.
Layer Type Soil Type No. of Tests Required No. of Tests Completed No. of Tests Missing Subgrade Soil All 1886 1347 594 Subgrade Soil Clay 652 513 168 Subgrade Soil Gravel 262 123 140 Subgrade Soil Rock 24 3 21 Subgrade Soil Sand 765 580 208 Subgrade Soil Silt 169 116 55 Subgrade Soil Unknown 14 12 2 Granular Subbase All 685 259 427 Granular Base All 956 385 573 Unknown Unknown -- 23 -- Total 3527 2014 1594
The missing resilient modulus tests were categorized by LTPP region, State, experiment type, and layer type. Data feedback reports for the missing tests were summarized by region and submitted to LTPP. There are a total of 23 MR tests that cannot be summarized using the layer type due to missing layer structure information. The MR tests for the subgrade soils were further divided into soil type (i.e., clay, gravel, rock, sand, and silt) since more than half of the total required resilient modulus tests are for the subgrade. Some tests cannot be grouped by soil type due to missing soil classification information.In summary, more than half of the required testing has been completed and the data have achieved a Level E status. The other half of the required tests either have not been completed or the tests have been performed, but the QC process is incomplete. It is expected that the number of completed MR tests with a Level E data status will significantly increase in future data releases.
Observation: 2,014 MR tests of unbound pavement materials and soils have a Level E data status as of the October 200 LTPP data release, while 1,594 have not yet obtained a Level E status.
RESILIENT MODULUS CONSTITUTIVE EQUATION
LTPP test protocol P46 is being used to measure the MR of unbound pavement materials and subgrade soils. This test is performed over a wide range of vertical stresses and confining pressures to measure the nonlinear (stress-sensitivity) elastic behavior of these materials and soils. Various types of relationships have been used to represent the repeated-load MR test results of coarse-grained and fine-grained soils. However, Von Quintus and Killingsworth found that the so-called "universal" constitutive equation provided a very good fit to the LTPP MR test data.(3) The specific equation used is given below:
(Equation 2)
As noted in chapter 1, the 2002 Design Guide uses MR as the primary material property for all unbound pavement layers and subgrade soils. The constitutive equation used for determining the MR of a material is given below and represents an expanded version of equation 2:(4)
(Equation 3)
where:
Pa = atmospheric pressure.
theta = bulk stress: theta = sigma1 + sigma2 + sigma3. (Equation 4)
sigma1 = major principal stress.
sigma2 = intermediate principal stress = sigma3 for MR test on cylindrical specimen.
sigma3 = minor principal stress/confining pressure.
Tauoct = octahedral shear stress:(Equation 5)
k1, k2, k3, k6 = regression constants.Coefficient k1 is proportional to Young's modulus. Thus, the values for k1 should be positive since MR can never be negative. Increasing the volumetric stress (theta) should produce a stiffening or hardening of the material, which results in a higher MR. Therefore, the exponent (k2) of the bulk stress term for the above constitutive equation should also be positive. Coefficient k6 is intended to account for pore-water pressure or cohesion and is a measure of the material's ability to resist tension. The values for k6 are expected to be negative or, when positive, less than or equal to a third of the bulk stress. Coefficient k3 is the exponent of the octahedral shear stress term. The values for k3 should be negative since increasing the shear stress will produce a softening of the material, i.e., a lower MR.
The regression for the four k-coefficients in equation 3 was performed, restraining the regression constants to their physical limits using the LTPP April and October 2000 data releases. Only those resilient modulus tests with 12 or more data points were used, resulting in a total of 1,920 tests. A total of 94 MR tests (approximately 4 percent of the total number of tests) had less than 12 data points. It is important to note that all regressions were performed using units of MPa for MR and kPa for the stress and pressure parameters in equation 3.
More than half of the k6 values were equal to zero, while the non-zero values were highly variable with a uniform distribution. Therefore, k6 was set to zero and the regression was repeated. No significant effect was observed on the regression statistics setting k6 equal to zero. Figure 1 presents the distributions of the final results for the k-coefficients. The values for the k-coefficients are presented in appendix A.
Observation: Coefficient k6 in equation 3 was found to be zero for more than 50 percent of the MR tests.
Coefficient k1 ranged from 0 to 3. These values are actually factors of a thousand because the MR value used was in MPa instead of kPa. Coefficient k2 ranged from 0 to 1.5 and has a bi-normal population. The bi-normal population suggests two different groups of soils. Figures 2 through 4 confirm that the coarse-grained soils are different from the fine-grained soils. Coefficient k3 ranged from 0 to -7 and has a skewed distribution. About 25 percent of the values were equal to zero. The majority of MR tests with a k3 coefficient equal to zero were for the unbound aggregate materials or coarse-grained soils.
Figures 2 through 4 present the distributions of the k-coefficients for the unbound aggregate materials and coarse-grained and fine-grained soils, while table 2 summarizes a comparison of the median and mean values for the coefficients from each data group. As shown, coefficients k1 and k2 have a normal distribution, while k3 has a skewed distribution for the base/subbase materials (figure 2). However, the distributions for k1 and k2 become skewed as the material becomes finer, while the distribution for k3 becomes more normal (figures 3 and 4).
Coefficient Type Unbound
Base-Subbase Materials Coarse-Grained Soils Fine-Grained Soilsk1 Median 0.853 0.764 0.804k1 Mean 0.873 0.802 0.896k1 Standard Deviation 0.2726 0.2661 0.3133k2 Median 0.628 0.446 0.243k2 Mean 0.626 0.452 0.282k2 Standard Deviation 0.1330 0.1927 0.1552k3 Median -0.129 -1.052 -1.399k3 Mean -0.170 -1.140 -1.576k3 Standard Deviation 0.2148 0.7365 1.1014 Number of Tests 423 257 105Table 2 shows that the median value for coefficient k2 increases as the amount of fines in the material/soil increases (fine-grained soils to unbound aggregate base material). Similarly, the median value for k3 becomes more negative as the material/soil becomes more fine-grained. The majority of the zero values for k3 were from the unbound base materials and coarse-grained soils, approximately 25 percent of the MR tests for the unbound aggregate base/subbase materials and 10 percent of the tests for the coarse-grained subgrade soils. Thus, the regressed k-coefficients from the LTPP MR test results are consistent with previous experience.
Figures 5 and 6 compare the calculated MR from the regressed k-coefficients of the constitutive equation to the measured MR for the test pit and augured samples, respectively. Figures 7 and 8 compare the calculated MR from the regressed k-coefficients of the constitutive equation to the measured MR for the gravel and clay soil groups, respectively. As shown, the constitutive equation provides an excellent fit to the LTPP MR test data. The universal constitutive equation provides a similar good fit to the other base materials and subgrade soils.
Observation: Equation 3 provides an excellent fit to the LTPP resilient modulus test data.
IDENTIFICATION OF TEST DATA ANOMALIES
Approximately 10 percent of the regression results for the k-coefficients have se/sy values greater than 0.5, suggesting that the regressions are not good fits. The reason for the poor fit could be a result of errors that occurred during the test procedure or that the constitutive equation does not represent the actual behavior of selected unbound materials and soils. It is important to ensure that the data are of good quality and without errors prior to making an assessment on the applicability of equation 3. Some possible problems that can occur during the MR test are listed below:
- Different conditioning sequences or different stress application sequences used in the test program.
- Leaks occurring in the membrane during the test (i.e., an unconfined test).
- Different stress states (applied stress and confining pressure) used in the test program than required by the test protocol.
- Test specimens that begin to fail or exhibit disturbance at the higher stress states.
- LVDT clamps that begin to move or move suddenly because of vibrations during the loading sequence.
- LVDTs that begin to drift during the testing sequence or become restricted due to friction in the measurement system.
- Measured deformations that begin to exceed the linear range of the LVDTs.
The second objective of this study was to identify any possible anomalies that may exist in the resilient modulus database and to determine their possible cause. The process used to identify and flag the resilient modulus test data, with possible anomalies, is summarized below:
Step 1. The resilient modulus test data were organized by material type or code for the review. Step 2. A regression analysis was conducted of the resilient modulus test data to define selected statistical parameters of the relationship between stress and resilient modulus. Step 3. A correlation matrix of the resilient modulus test data (resilient modulus correlation with bulk stress and octahedral shear stress) was determined. Step 4. A summary of the results from the regression (R2, se/sy) and correlation matrix by material type was prepared. Step 5. The resilient modulus tests, with possible anomalies, using the following criteria or threshold values, were identified and flagged:
*R2<0.99
*se/sy>0.50
*Absolute Values of the Correlation Matrix <0.50Step 6. For those resilient modulus tests that were flagged, a graphical presentation of the data was prepared for a detailed review to confirm the test data anomaly, identify any similarities between these data sets or tests, and determine the probable cause of and recommend an action for the anomaly. If an anomaly could not be observed in the graphical presentation of the data, the MR test was de-flagged. Previous studies have found that equation 3 is a good simulation of the measured responses from repeated-load resilient modulus tests. The authors have also found that many anomalies that can and do occur in resilient modulus tests are difficult to identify after the testing has been completed. To ensure that all possible anomalies or discrepancies in the resilient modulus data were identified, fairly restrictive criteria or threshold values were used, as noted in Step 5. These threshold values were used to ensure that the test results were initially reviewed for which equation 3 is not an extremely close mimic of the test results. Simply flagging the test data does not mean that the test results have anomalies. Some of the tests were critically reviewed and were de-flagged because no anomaly could be identified, as noted in Step 6.
Out of 1,920 MR tests, 212 were flagged using the criteria in Step 5 above. These tests (resilient modulus versus vertical stress) were plotted for the detailed review, as described in step 6. As an example, graphical presentations of the flagged and non-flagged resilient modulus test data summarized in table 3 are shown in figures 9 through 13 and explained briefly below.
- Figures 9 and 10 for test sections 014073 and 480802, respectively, were flagged (see table 3). The resilient modulus test from test section 014073 (figure 9) is characteristic of a coarse-grained soil. The MR increases with increasing confining pressure as expected. However, the incremental change in MR increases with repeated vertical stress for the lowest and highest confining pressures, while the incremental change in resilient modulus decreases with increasing repeated vertical stress for the mid-range confining pressure. This characteristic can be the result of binding (friction) in the LVDT core, which can restrict movement of the LVDTs at the lower or smaller repeated vertical loads for a specific confinement level. Figure 10, for test section 480802, shows that the MR increases with confining pressure between the lower and mid-range confinement, but significantly decreases for the highest confinement, implying a softening effect. In addition, the MR increases between the first two repeated vertical stresses applied to the test specimen, but then continues to decrease with increasing repeated vertical stresses. This characteristic can be caused by leaks developing in the membrane during the application of the series of vertical loads for the mid-range confinement. Both tests (figures 9 and 10) were identified as questionable.
- The resilient modulus test on section 352007 initially was flagged (see table 3). Figure 11 shows that the resilient modulus test from this test section is characteristic of fine-grained soils. Fine-grained soils typically soften (decreasing resilient modulus) with increasing vertical pressures. However, no anomalies were observed in the test data. Since no anomaly was observed, this test was de-flagged. The statistical parameters from the regression for the k-coefficients for this test suggest that the constitutive equation may not describe the material/soil response characteristics accurately.
- Figures 12 and 13 for test sections 390209 and 481093, respectively, were not flagged because they meet all of the above criteria. These graphs of non-flagged data are provided for comparative purposes.
After step 6 was completed, 185 MR tests were flagged for potential anomalies (about 10 percent of the tests). These flagged MR tests were divided into seven groups of anomalies that are defined in table 4. Figures 14 through 20 are graphical examples for each potential anomaly.
* - reference to LTPP database code list
STATE CODE SHRP ID LAYER NO. TEST NO. LOC. NO. SAMPLE NO. R2 SE/SY MATL CODE N Cycles Correlations with MR BULK STRESS Correlations with MR BULK STRESS MR Test Initially Flagged 1 4073 3 1 BA* BG** 0.8508 0.7095 308 0.2039 0.8829 2 35 2007 2 1 BA* BS** 0.9873 0.8197 309 15 0.6279 -0.3566 2 39 0209 2 1 B22 BG22 0.9996 0.0676 303 15 0.9959 0.7118 48 0802 3 2 B4 BG01 0.9924 1 302 13 -0.4163 0.0445 2 48 1093 2 1 BA* BG** 0.9995 0.0469 303 15 0.9985 0.8394
** - reference to LTPP database code list
Table 4. Summary of identified anomaly types.
Type of AnomalyDefinition of Anomaly Number of MR Tests Type 1Potential disturbance or excessive softening of test specimen at the higher repeated vertical stresses. 17 Type 2Big gap between confining pressure for the lower repeated loads, which reduces or begins to merge for the higher loads. 15 Type 3A sudden drop in MR for a specific confinement, after which the MR continues to increase with higher vertical loads. 10 Type 4The different confinement curves cross - one confinement has a different stress sensitivity than the other confinement curve. 103 Type 5The curves for each of the confining pressures are completely out of order (e.g., highest confinement below mid-confinement). 11 Type 6All confinements show nearly the same MR for the lower repeated vertical loads. 20 Type 7Possible data entry error with both the MR and vertical stress at zero. 9
- Type 1 Anomaly Example - Figure 14. This test shows that the MR increases and then decreases with increasing repeated vertical loads for each confining pressure. These results are characteristic of specimen disturbance or excess softening at the higher repeated vertical loads. More examples of type 1 anomalies are presented in appendix B, figures 34 through 37.
- Type 2 Anomaly Example - Figure 15. This test shows large gaps between different confining pressures for the lower repeated loads (i.e., significant effect of confining pressure), which decreases to almost no effect of confining pressure at the higher repeated loads. In other words, the MR for the different confining pressures merge with increasing repeated vertical loads. More examples of type 2 anomalies are presented in appendix B, figures 38 through 41.
- Type 3 Anomaly Example - Figure 16. This test shows a sudden drop and then increase in the MR for the highest confining pressure, while the MR slightly decreases with increasing repeated vertical loads for the two lower confining pressures. This anomaly can be characteristic of re-zeroing the LVDTs in the middle of the test or an unstable LVDT clamp as the specimen deforms under load. More examples of type 3 anomalies are presented in appendix B, figures 42 through 45.
- Type 4 Anomaly Example - Figure 17. The change in MR with increasing repeated vertical loads do not follow the same trend or have the same stress sensitivity for the different confining pressures. In other words, one confining pressure exhibits stress-hardening characteristics, while another exhibits stress-softening characteristics. This characteristic can be the result of restrictions in LVDT movement or unstable LVDT clamps. A majority of the flagged tests fall into this category (see table 4). More examples of type 4 anomalies are presented in appendix B, figures 46 through 49.
- Type 5 Anomaly Example - Figure 18. The curves of resilient moduli for the different confining pressures are out of order. The highest confining pressure results in lower resilient modulus. This anomaly can be characteristic of leaks that develop in the membrane during the test. Additional examples of type 5 anomalies are presented in appendix B, figures 50 through 53.
- Type 6 Anomaly Example - Figure 19. All confining pressures show nearly the same resilient modulus at the lower repeated vertical loads. In other words, the resilient modulus is independent of confining pressure for the lower repeated vertical loads, but dependent on confinement for the higher loads, in direct opposition to a type 2 anomaly. Additional examples of type 6 anomalies are presented in appendix B, figures 54 through 57.
- Type 7 Anomaly Example - Figure 20. There appears to be a data entry error with both the resilient modulus and the vertical stress at zero. More examples of type 7 anomalies are presented in appendix B, figures 58 through 61.
All anomalous data (measured responses and computations) should be checked to confirm that the data are correct. If correct, the data should be removed, a comment should be added to the test result (i.e., "possible anomalous data"), or the material from the specific layer and location should be retested. It is suggested that the flagged samples be retested, because none of the test sections had the same layer or material flagged from both ends of the same section.
For tests where more than one anomaly type is present, the type that best describes the data anomaly was selected. Anomaly types 3, 4, and 5 are usually a result of laboratory test problems. Anomaly types 1, 2, and 6 could be representative of the inability of the selected constitutive equation to describe the soil's response characteristics. Twenty-seven flagged MR tests were de-flagged after step 6, resulting in 185 tests that were identified as having potential anomalies. This represents just over 8 percent of the MR tests for which the constitutive equation does not accurately describe the material/soil response characteristics.
Feedback reports were prepared to identify and document those tests with possible anomalies by the seven groups and the reports were submitted to FHWA. [Tables 17 through 23 in appendix C summarize the anomaly types 1 through 7, respectively, along with the anomaly's initial description for each flagged test.]
Observation: Almost 92 percent of the LTPP MR tests have response characteristics that are accurately simulated by the "universal" constitutive equation selected for the 2002 Design Guide.
As mentioned in chapter 1, previous studies have shown that the MR can be affected by sampling technique and errors that may occur during the testing program. Chapter 2 focused on identifying anomalies in the resilient modulus test data, while this chapter focuses on the effect of sampling technique.
The materials used for the resilient modulus tests were obtained from one of three sampling techniques: (1) pavement materials and soils sampled from the augers, (2) pavement materials and soils removed from test pits, and (3) soils extracted from Shelby tubes. The difference between auger-test pit samples and auger-Shelby tube samples was evaluated using the cleaned data set (i.e., excluding the anomalies).
There are three other factors, however, that can cause variability and possible bias in the resilient modulus test data. These factors include: (1) the use of different testing contractors and/or operators, (2) test specimen preparation technique, and (3) material variation along a project. Each of these potential sources of variation in resilient modulus test data was considered in evaluating the effect of sampling technique on resilient modulus, with the exception of testing contractor and/or operator.
DATA GROUPS EVALUATED - SOURCES OF VARIABILITY
The laboratory test procedure used for coarse-grained soils (base/subbase materials) is different from that used for fine-grained soils. To eliminate the testing procedure effect, the base/subbase materials were evaluated separately from the subgrade soils. Typical testing errors that can occur during repeated load resilient modulus testing were assumed to be random within a specific material/soil group. Random errors should have no bias on the effect of sampling technique on the resilient modulus test results.
In coarse-grained materials, the sampling technique used can change the gradation of the material. The base/subbase materials were grouped by material codes as defined using LTPP terminology. For each base/subbase group, resilient modulus test results for the auger samples were compared to the test pit samples for each site. The auger versus test pit samples analysis was repeated for the subgrade soils since coarse-grained soils also are present in the subgrade. The resilient modulus for both data groups (test pit and auger samples) was measured on test specimens recompacted to the moisture content and density of the in-place materials. Differences caused by the compaction process or moisture content and density differences between the in-place material and test specimens were assumed to be random within a specific materials/soil group.
The subgrade soils were grouped by soil type (i.e., clay, gravel, sand, and silt). The difference between auger and Shelby tube samples was evaluated because the undisturbed samples in thin-walled Shelby tubes were retained for nearly 2 years prior to removal and testing for some of the test sections. As noted above, moisture content and density differences exist between the undisturbed (Shelby tube sample) test specimens and those recompacted in the laboratory (augured or test pit samples). However, these differences were assumed to be random within each soil group and have no bias on the effect of sampling technique on the resilient modulus test results.
Materials and soils recovered from the test pits were always taken from the leave end of the test section, while the augured materials and soils were taken from the approach end. Although this represents a systematic difference due to sample location, there is no reason these materials and soils would be consistently different between the ends of the test section. The location of the GPS test sections was selected at random along a project. The differences between the ends of a test section due to sample location were assumed to be random.
Table 5 lists the data groups evaluated for both the base/subbase materials and subgrade soils. The test results that were compared included the MR at specific stress states and the regressed k-coefficients of the constitutive equation (equation 3). The first comparison was completed on the MR measured at each stress state. This comparison was then followed by a comparison of the regressed k-values from equation 3. Comparisons of the k-values were completed to determine if there is an effect due to sampling differences on a specific part of the constitutive equation that is not detected by the individual MR.
Table 5. Data groups for the base/subbase and subgrade soils.
Those material codes not listed above had too few MR tests to be included in the test of significance for the effect of sampling technique.
Pavement Layer Type Material Code/Type* No. of Tests - Auger No. of Tests - Test Pit No. of Tests - Shelby Tube Total Number of TestsBase/Subbase All 405
212
NA
617
Base/Subbase 302, Uncrushed Gravel 48
33
NA
81
Base/Subbase 303, Crushed Stone 63
46
NA
109
Base/Subbase 304, Crushed Gravel 32
17
NA
49
Base/Subbase 306, Sand 47
19
NA
66
Base/Subbase 307, Fine-Grained Soil-Aggregate Mixture 22
10
NA
32
Base/Subbase 308, Coarse-Grained Soil-Aggregate Mixture 127
60
NA
187
Base/Subbase 309, Fine-Grained Soil 65
27
NA
92
Subgrade Soil All 476
319
456
1251
Subgrade Soil Gravel 78
32
12
122
Subgrade Soil Sand 223
150
136
509
Subgrade Soil Silt 42
34
32
108
Subgrade Soil Clay 133
103
276
512
Total Number of Tests 881
531
456
1868
NA - Not applicableThe student t-test was used to test any difference in the k-coefficients of samples obtained by different techniques. The student t-test assumes that the data have a normal distribution. Therefore, each data group listed in table 5 was checked initially for normality using the Shapiro-Wilk W Test.(5) The data for some of the groups were not distributed normally. These data then were checked for outliers using the Mahalanobis outlier distance plot. The identified outliers were removed before the student t-test was performed. For those data sets that were not distributed normally even after removing the outliers, the Welch analysis of variance (ANOVA) test was used to determine if the different data groups were from the same population of data.
COMPARISON OF RESILIENT MODULUS TEST RESULTS
An ANOVA was completed on the MR measured at the different stress states included in the test procedure to determine if sampling technique has an effect on the test results. The data were first checked for outliers and normality, as noted above. A model of one variable (sampling technique) was used in the ANOVA. The one variable has two choices or discrete values related to sampling the materials - test pits or augers and augers or Shelby tubes.
Results from the one-way ANOVA are summarized in table 6. Table 6 identifies those materials and soils for which the MR ratio was found to be independent or dependent on stress state. The MR ratio is defined in table 6. The MR ratio was found to be independent of stress state for most base/subbase materials and all soils. For the materials and soils for which the MR ratio is independent of stress state, the MR ratios determined at each stress state can be combined in the analysis to determine if sampling technique has a significant effect on the test results. Material codes 306 (sand) and 308 (coarse-grained soil-aggregate mixture) were the only materials and soils for which the MR ratio was dependent on stress state.
(1) MR Ratio = Resilient modulus of test specimens prepared from materials recovered from auger samples divided by the resilient modulus of test specimens prepared from materials recovered from test pits; MR(Auger)/MR(Test Pit).
Material/Soil Type ANOVA, Prob.>F MR Ratio is a Function of Stress(1) Base/Subbase Materials All 0.0238 Yes - Vertical Loads Base/Subbase Materials 302, Uncrushed Gravel 0.3769 No Base/Subbase Materials 303, Crushed Stone 0.2874 No Base/Subbase Materials 304, Crushed Gravel 0.4809 No Base/Subbase Materials 306, Sand 0.0123 Yes - Confinement Base/Subbase Materials 307, Fine-Grained Soil-Aggregate Mixture 0.9112 No Base/Subbase Materials 308, Coarse-Grained Soil-Aggregate Mixture 0.0022 Yes - Vertical Loads Base/Subbase Materials 309, Fine-Grained Soil 0.1057 No Subgrade Soils All 0.1598 No Subgrade Soils Gravel 0.4932 No Subgrade Soils Sand 0.6691 No Subgrade Soils Silt 0.8497 No Subgrade Soils Clay 0.3552 No Unbound Aggregate Layers - Test Pit Versus Auger Samples
The samples for the base/subbase resilient modulus test were either obtained from the augering process or from cutting a test pit and removing bulk samples of the material. The augering process can degrade the larger diameter aggregates. Therefore, the resilient modulus test results for the augured samples were compared to the test results for the test pit samples.
The data were first checked for outliers and normality, as noted above. Assuming that the sample variance is equal to the population variance, a student t-test was then performed with a 95-percent confidence level using the following null and alternative hypotheses in comparing the two data sets:
Ho: ka divided by ktp = 1 or MRa divided by MRtp = 1
HA: ka divided by ktp does not equal 1
or MRa divided by MRtp does not equal 1Table 7 provides a summary of the results from the ANOVA to determine if the sampling technique auger versus test pits has an effect on resilient modulus. In summary, sampling technique does appear to have a significant effect on the resilient modulus ratio for uncrushed gravel, crushed stone, fine-grained soil-aggregate mixture, and fine-grained soil base material groups. The crushed gravel base material is considered borderline as to the effect of sampling technique on the resilient modulus because the probability value is slightly greater than 0.05 (refer to table 7). Sand and coarse-grained soil-aggregate base materials are the only data groups for which the sampling technique of the base materials appears to have no effect on the MR ratio.
Table 8 summarizes the probability from the student t-test that the k-coefficients and exponents for the auger and test pit samples are equal. With a 95-percent confidence level, a probability value less than 0.05 rejects the null hypothesis. The shaded cells show the data groups that are indifferent.
No difference was observed when all the base/subbase materials were tested together. However, when the materials are grouped by material codes, k1a and k1tp were different from each other for the uncrushed gravel. For the crushed stone material, both k1 and k3 were found to be different between augured and test pit samples. Although not all the k-coefficients for the uncrushed gravel and the crushed stone were different, it is reasonable to conclude that the sampling technique has an effect on the MR test results since k1 is directly proportional to MR.
Table 9 provides a summary of the results from the different analyses for comparing the differences between two populations of data that are defined by different sampling techniques using the k-values and resilient modulus. As tabulated, the results are similar for the base and subbase materials, except for the soil-aggregate mixtures.
(1) Low: Confinement = 20.7 kPa, Cyclic Load = 18.6 kPa; Medium: Confinement = 68.9 kPa, Cyclic Load = 124.1 kPa; High: Confinement = 137.9 kPa, Cyclic Load = 248.2 kPa. (2) Null Hypothesis: MR(Auger)/MR(Test Pit) = 1.
Material/Soil Type Stress State(1) Median MR Ratio Mean MR Ratio Standard Deviation ANOVA, Prob.>[t] Null Hypothesis, MR Ratio = 1(2) Base/Subbase Materials All Low 0.9706 0.9763 0.1875 0.2022 Accept Base/Subbase Materials All Medium 1.0000 1.0092 0.1264 0.4308 Accept Base/Subbase Materials All High 1.0000 1.0111 0.1183 0.3146 Accept Base/Subbase Materials 302, Uncrushed Gravel All values 1.0253 1.0438 0.1712 <0.0001 REJECT Base/Subbase Materials 303, Crushed Stone All values 0.9527 0.9391 0.1621 <0.0001 REJECT Base/Subbase Materials 304, Crushed Gravel All values 1.0444 1.0323 0.1841 0.0670 Accept Base/Subbase Materials 306, Sand Low 0.9706 1.0540 0.1882 0.4143 Accept Base/Subbase Materials 306, Sand Medium 1.0000 0.9971 0.0539 0.8759 Accept Base/Subbase Materials 306, Sand High 0.9563 0.9735 0.0664 0.2652 Accept Base/Subbase Materials 307, Fine-Grained Soil-Aggregate Mixture All values 1.0041 1.0494 0.1660 0.0145 REJECT Base/Subbase Materials 308, Coarse-Grained Soil-Aggregate Mixture Low 0.9592 0.9321 0.2097 0.0720 Accept Base/Subbase Materials 308, Coarse-Grained Soil-Aggregate Mixture Medium 1.0000 1.0124 0.1307 0.5631 Accept Base/Subbase Materials 308, Coarse-Grained Soil-Aggregate Mixture High 1.0327 1.0253 0.1666 0.3303 Accept Base/Subbase Materials 309, Fine-Grained Soil All values 1.0092 1.0331 0.1264 <0.0001 REJECT Subgrade Soils All All values 1.0476 1.0600 0.2810 <0.0001 REJECT Subgrade Soils Gravel All values 1.2226 1.2437 0.2690 <0.0001 REJECT Subgrade Soils Sand All values 1.0099 0.9990 0.2016 0.8980 Accept Subgrade Soils Silt All values 1.1061 1.0886 0.3112 0.0010 REJECT Subgrade Soils Clay All values 1.2803 1.1606 0.3283 <0.0001 REJECT
(1) Student t-Test Probability (Prob > |t|)
Material/Soil Type k1(1) k2(1) k3(1) Base/Subbase Materials All 0.2378 0.5846 0.5070 Base/Subbase Materials 302, Uncrushed Gravel 0.0260 0.0850 0.3919 Base/Subbase Materials 303, Crushed Stone 0.0350 0.1868 0.0025 Base/Subbase Materials 304, Crushed Gravel 0.5228 0.7903 0.5193 Base/Subbase Materials 306, Sand 0.3149 0.1512 0.7767* Base/Subbase Materials 307, Fine-Grained Soil-Aggregate Mixture 0.4134 0.3213 0.8316 Base/Subbase Materials 308, Coarse-Grained Soil-Aggregate Mixture 0.3731 0.4863 0.0192* Base/Subbase Materials 309, Fine-Grained Soil 0.3931 0.6256 0.4354 Subgrade Soils All 0.0328 0.0013 0.6553 Subgrade Soils Gravel 0.0710 0.9120 0.0169 Subgrade Soils Sand 0.8287 0.0050 0.3052 Subgrade Soils Silt 0.1059 0.1569 0.2512 Subgrade Soils Clay 0.1153 0.1594 0.9407
*Student t-test not valid because sample population not normally distributed.
*k-Values; Hypothesis, ka/ktp = 1
Material/Soil Type k1* k2* k3* MR Values; Hypothesis, MRa/MRtp = 1 Base/Subbase Materials All Accept Accept Accept Accept Base/Subbase Materials 302 REJECT Accept Accept REJECT Base/Subbase Materials 303 REJECT Accept REJECT REJECT Base/Subbase Materials 304 Accept Accept Accept Accept Base/Subbase Materials 306 Accept Accept Accept Accept Base/Subbase Materials 307 Accept Accept Accept REJECT Base/Subbase Materials 308 Accept Accept REJECT Accept Base/Subbase Materials 309 Accept Accept Accept REJECT Subgrade Soil All REJECT REJECT Accept REJECT Subgrade Soil Gravel Accept Accept REJECT REJECT Subgrade Soil Sand Accept REJECT Accept Accept Subgrade Soil Silt Accept Accept Accept REJECT Subgrade Soil Clay Accept Accept Accept REJECT
Observation: Sampling technique of base materials (auger versus test pit samples) has an effect on the MR test results for the uncrushed gravels and crushed stone materials.
Soils - Test Pit Versus Auger Samples
Table 7 summarizes the difference between the resilient modulus measured on test specimens prepared from soils recovered from test pit samples and those from augured samples. As tabulated, the resilient modulus values are different for all subgrade soil groups with the exception of sand. This observation is consistent with previous experience.
The difference between the k-coefficients regressed from MR tests performed on test specimens compacted from auger and test pit samples was evaluated for the subgrade soils. Table 8 summarizes the findings of the analysis and comparisons. The shaded cells show the data groups that are the same, i.e., student t-test probability greater than 0.05.
Differences were observed for k1 and k2 of the overall subgrade data group, k3 of the gravel group, and k2 of the sand group. Note that some differences in the exponents were found for the coarse-grained soils, but no differences were found for the fine-grained soils. This observation is consistent with the base/subbase materials, with the exception of the crushed gravels (material code 304) and sands (material code 306).
Based on the results summarized in table 9, the sampling effect on the MR ratio is dependent on the type of analysis. Since only one k-coefficient was found to be different for the gravel and sand soil groups, the effect of sampling technique (auger versus test pit) is believed to be small. However, comparison of the MR ratio suggests that there is a difference caused by sampling technique for all soils, but sand.
Soils - Shelby Tubes (Undisturbed) Versus Recompacted (Disturbed) Samples
The undisturbed samples recovered from thin-walled Shelby tubes were retained in the tubes in some cases for nearly 2 years prior to removal and testing. The effect of storage time in the Shelby tubes on resilient modulus is unknown. However, the MR of some high-plasticity clays is known to be sensitive to sample preparation (disturbed versus undisturbed test specimens). Therefore, the MR test results in the LTPP database were evaluated to determine if there are significant differences in the regressed k-coefficients between the Shelby tubes (undisturbed) and recompacted (disturbed) samples. The effect of time retained in the Shelby tubes was not studied because there were too few MR tests within each of the subgroups at different times.
For each of the data groups listed in table 5, the data were first tested for outliers, normality, and equal sample variances. Student t-tests were then performed with a 95-percent confidence level and the following null and alternative hypotheses:
Ho: ka = kST or MRa = MRST
HA: ka does not equal kST or MRa does not equal MRSTTable 10 summarizes the effects of sampling technique on the measured resilient modulus between undisturbed and disturbed subgrade soil samples. As shown, the resilient modulus is affected by sampling technique for all soil groups, with the exception of sand. This finding is consistent with the previous experience of the authors.
Soil Type Prob.>F Variances Equal Variances? Welch ANOVA Testing of Means With Unequal Variances, Prob.>F ANOVA Testing of Means With Equal Variances, Prob.>F or Prob.>[t] Absolute Difference - LSD Null Hypothesis; MR(Shelby Tube), Undisturbed = MR(Auger), Disturbed All <0.0001 No <0.0001 --- 6.034 REJECT Gravel 0.0045 No <0.0001 --- 11.653 REJECT Sand <0.0001 No 0.2725 --- -0.514 Accept Silt 0.5582 Yes --- <0.0001 9.964 REJECT Clay 0.9484 Yes --- <0.0001 10.582 REJECT Table 11 summarizes the probability from the student t-test that the k-coefficient and exponents for the undisturbed and disturbed samples are equal. With a 95-percent confidence level, a probability value less than 0.05 rejects the null hypothesis. The shaded cells show the data groups that are indifferent. Five of the data groups failed the equal variance test. For these five groups, the Welch ANOVA test was used instead, as noted above.
(1) Student t-Test Probability (Prob > |t|)
Material Type k1 k2 k3 All 0.7475 <0.0001* <0.0001* Clay 0.0314 0.8948* 0.0002 Gravel 0.5080 0.2379 0.0001 Sand 0.8865 0.0122 0.7961* Silt 0.9978* 0.1687 <0.0001
* Welch ANOVA testing equal means, allowing unequal variance.The shaded cells show the data groups that are the same within a 95-percent confidence level (student t-test probability greater than 0.05). As shown, at least one of the k-coefficients for all groups tested was different. The coefficients from the undisturbed (Shelby tube) and disturbed (auger and test pit) data sets were found to be different for k1 of the clay soils, k2 of the overall and sand soil groups, and k3 of all soil groups, except for sand. Separating the subgrade into soil types reduced the sampling effect except for the clay soils. It is recommended that the MR results for the clay soils be considered different between the disturbed and undisturbed test specimens. Since only one k-coefficient was different for the other soil types, any sampling effect is considered small for these soil types, especially since k3 was zero for several MR tests.
Observation: Sampling technique of subgrade soils (undisturbed versus disturbed test specimens) has an effect on the MR test results for the clay soils. Observation: Sampling technique of base and subgrade soils has no effect on the MR test results for sand base materials and soils.
Table 12 summarizes the results from the different analyses for comparing the differences between two populations of resilient modulus data that are defined by different sampling techniques using the k-values and resilient modulus. As shown, the results are similar for the subgrade soils.
* k-Value; Hypothesis, ka = kst
Soil Type k1* k2* k3* MR Values; Hypothesis, MRa = MRst All Accept REJECT REJECT REJECT Gravel Accept Accept REJECT REJECT Sand Accept REJECT Accept Accept Silt Accept Accept REJECT REJECT Clay REJECT Accept REJECT REJECT SUMMARY
The data groups listed in table 5 were analyzed for the effects of sampling techniques. All materials were tested for differences between auger and test pit samples. The subgrade soils were also tested for differences between disturbed (auger and test pits) and undisturbed (Shelby tube) samples.
Tables 9 and 12 summarize the results from the different analyses for comparing the differences between two populations of resilient modulus data that are defined by different sampling techniques using the k-values and resilient modulus values. Table 9 shows that the auger and test pit samples are different for some of the material groups. The difference was considered significant for the uncrushed gravel, crushed stone, and the overall subgrade data group. However, the difference was insignificant when the soils were divided into the four major soil types (i.e., clay, gravel, sand, and silt). Table 12 shows that the disturbed and undisturbed test specimens are different for the overall subgrade and clay data groups. The difference is only considered significant for the clay soils when the subgrade is divided into the four soil types.
It is interesting to note that the null hypothesis from the ANOVA was rejected when the resilient modulus ratio was found to be independent of the stress states and was accepted for those materials when the resilient modulus ratio was dependent on stress state in all cases, with the exception of base material code 304 (crushed gravel) and sand subgrades (refer to tables 6 and 7). Another interesting observation is that the coarse-grained soils were found to have equal variances between the resilient modulus values measured on undisturbed (Shelby tubes) test specimens and disturbed (auger) test specimens. The significance of these observations is unknown.
Table 13 provides an overall summary comparison of the different statistical methodologies used. Most of the results from these comparisons are consistent with previous experience. The following summarizes the recommendations for further data analyses for each material and soil type:
- All sand base materials can be combined into one group, independent of sampling technique. In addition, all sand subgrades can also be combined into a single group for analysis purposes.
- The resilient modulus of the crushed stone and uncrushed gravel base materials are dependent on the type of sampling technique used to recover samples for testing. These data groups should be kept separate for further data analyses.
- The resilient modulus of the clay soils is dependent on whether the sample is undisturbed (recovered by Shelby tubes) or disturbed (sampled from augers or recovered from test pits and recompacted). These data groups should be kept separate for further data analyses.
- The effect of sampling technique on the remaining data groups is dependent on the type of analysis used. Thus, it is suggested that the different data groups be combined for simplicity, but caution be taken in analyzing and using these data.
These observations are considered important regarding the future use of the repeated load resilient modulus test data in the LTPP database to accomplish the objectives stated in the introduction chapter to this report and some of the overall LTPP objectives. For example, any differences caused by sampling technique must be clearly defined to determine the relationship between laboratory-measured resilient modulus and backcalculated elastic layer modulus.
Sampling Technique Material/Soil Type Consistently Different Results or Different Populations of Data Borderline - Dependent on Type of Data Used Consistently Indifferent Results or Populations of Data are the Same Auger Versus Test Pit Base and Subbase 302, Uncrushed gravel 307, Fine-grained soil-aggregate mixture 304, Crushed gravel Auger Versus Test Pit Base and Subbase 303, Crushed stone 309, Fine-grained soil 306, Sand Auger Versus Test Pit Base and Subbase 308, Coarse-grained soil-aggregate mixture Auger Versus Test Pit Subgrade Soils None Gravel Sand Auger Versus Test Pit Subgrade Soils Silt Auger Versus Test Pit Subgrade Soils Clay Undisturbed (Shelby Tubes) Versus Disturbed (Auger) Subgrade Soil Clay Gravel Sand Undisturbed (Shelby Tubes) Versus Disturbed (Auger) Subgrade Soil Silt
As stated in chapter 1, the MR is the material property required for all unbound materials and soils for the 1986 and 1993 AASHTO Design Guide.(1) In 1995, Darter, et al., found that about 75 percent of the State Highway Agencies (SHAs) in the United States use either the 1986 or 1993 versions of the AASHTO Design Guide.(6) However, most of these agencies do not routinely measure the MR in the laboratory. The design MR is estimated from experience or from other material or soil properties (for example, CBR, R-value, or physical properties).
A potential benefit of estimating the MR from physical properties is that seasonal variations in resilient modulus can be estimated from seasonal changes in the materials' physical properties. Seasonal variations are critical for determining the design MR for a particular project. The concept being used in development of the 2002 Design Guide under NCHRP Project 1-37A is to apply the Enhanced Integrated Climatic Model (EICM) to predict changes in the physical properties of unbound pavement materials and soils and to estimate the effect those changes have on the resilient modulus.
Some SHAs have developed relationships between the physical and/or strength properties of the soil and MR. Determining the MR from physical properties of unbound materials can capture the effect of the seasonal variations of the MR as a result of seasonal changes in the material's physical properties, but it does not capture the effect of stress sensitivity. To capture the effects of stress sensitivity, the coefficients of the selected constitutive equation have been regressed for relationships to the soils physical properties. Von Quintus and Killingsworth and Santha, among others, have developed these types of relationships for use in design to capture the effect of stress sensitivity in determining the design MR.(3,7)
Previous studies have developed relationships between the soil properties and the regressed k-coefficients and exponents of the constitutive model. Those relationships that have good statistics were generally confined to specific soil types.(7) Other studies that have used a wide range of soil types and conditions have generally resulted in poor correlations.(3) The focus of this chapter is to use the cleaned database and determine those physical properties that have an effect on the MR test results and to determine the accuracy of developing relationships between physical properties and MR with the LTPP database.
PHYSICAL PROPERTIES USED IN STUDY
The anomalies identified in chapter 2 were removed from the data set based on the April and October 2000 data releases that were used in a nonlinear optimization regression analysis relating the physical properties of the test specimen to the MR from the constitutive equation. The classification data (including gradation, Atterberg limits, density, moisture, optimum density, moisture contents, and other physical properties) were extracted from the LTPP database of unbound materials. For most LTPP test sections, the strength (e.g., CBR and R-value) of a material or soil is unavailable in the database. Table 14 summarizes all the variables used in the regression analysis and the IMS tables from which the data were extracted. The range, mean, and median values for each of these variables are included in appendix D for the base and subbase materials and subgrade soils.
Table 14. Summary of the MR physical property regression variables.
1 in = 25.4 mm
Variable Description Table(s) From the IMS k1 (MPa) Regression constant of MR constitutive equation -- k2 Regression constant of MR constitutive equation -- k3 Regression constant of MR constitutive equation -- P3/8", % Percentage passing 3/8" sieve TST_SS01_UG01_UG02 PNo. 4, % Percentage passing No. 4 sieve TST_SS01_UG01_UG02 PNo. 40, % Percentage passing No. 40 sieve TST_SS01_UG01_UG02 PNo. 200, % Percentage passing No. 200 sieve TST_SS01_UG01_UG02 % Silt Percentage of silt TST_SS02_UG03 % Clay Percentage of clay TST_SS02_UG03 LL, % Liquid limit of soil TST_UG04_SS03 PI, % Plasticity index of soil TST_UG04_SS03 wopt, % Optimum water content TST_UG05_SS05 Upsilond, opt (kg/m3) Maximum dry unit weight of soil TST_UG05_SS05 ws, % Water content of the test specimen TST_UG07_SS07_A,
TST_UG07_SS07_BUpsilons (kg/m3) Dry density of the test specimen TST_UG07_SS07_A,
TST_UG07_SS07_BA nonlinear optimization regression analysis was performed using SAS� statistical analysis system software relating the physical properties (listed in table 14) of the test specimen to the MR used in the constitutive equation on the "clean" data set. A stepwise regression analysis was initially performed relating the physical properties to the resilient modulus to identify the important variables. The procedure combined the forward and backward stepwise regression methods.
A variable (physical property) with a 0.25 probability was selected to enter the regression and was removed with a 0.1 probability to stay. The regression started with no variables in the model. The F statistics were calculated for each independent variable. The variable with the most significant level greater than 0.25 was entered into the model first. All variables were entered individually with this entry criterion. The variables already in the model did not necessarily remain, because after a variable is added, the stepwise method considers all the variables already included and deletes any variable that does not yield an F statistic at a level of significance greater than 0.1. The process was completed when no more variables outside the model had a level of significance greater than 0.25 to enter and 0.1 to delete.
CORRELATION STUDY FOR MODEL DEVELOPMENT
As discussed in chapter 3, the base/subbase materials should be analyzed separately from the subgrade materials. The base/subbase materials were grouped by material code from LTPP terminology for pavement materials and soils. The crushed stone and uncrushed gravel materials were separated into auger and test pit samples to see the effect of sampling technique as discussed in chapter 3. The subgrade material was grouped by material type (clay, gravel, silt, and sand) and the clay soils were further grouped into: (1) disturbed samples and (2) undisturbed samples.
The test specimens from the Shelby tubes were taken at various depths through the sampling tubes, while the samples from which the physical properties were measured were confined to the top 0.3 m of the subgrade. As a result, the resilient modulus tests and some of the physical property tests could have been performed on entirely different soils. Von Quintus and Killingsworth identified this fact as a problem in completing similar correlations in 1996.(3) Thus, the undisturbed test specimens (Shelby tube samples) were not included in the correlations between resilient modulus and physical properties.
Appendix E summarizes the properties that were found to be important and the resulting statistical measures of the correlation for each of the data groups analyzed. Table 15 presents an overall summary of those physical properties that were found to be important for each material and soil. Observations from these correlation studies are noted below:
- The maximum or optimum dry unit weight was found to be important for all base and subbase material types, with the exception of the fine-grained soil (LTPP material code 309); while the optimum moisture content and percent passing the 3/8-in (9.5 mm) sieve were found to be important for most coarse-grained base materials.
- The plasticity index and the percent passing the No. 40 sieve were the only properties found to be important for the fine-grained soil base material group (LTPP material code 309).
- The water content and percent clay for the test specimen are important for all soil groups.
- The liquid limit is important for all soils except the silt group, while the percent silt is important for all soils except the gravel group.
1 in = 25.4 mm
Independent Variable 303, Crushed Stone 304, Crushed Gravel 302, Uncrushed Gravel 306, Sand 308, Coarse-Grained Soil-Aggr. Mixture 307, Fine-Grained Soil-Aggr. Mixture 309, Fine-Grained Soil Gravel Sand Silt Clay Percent passing 3/8-in sieve, P3/8 * * * * * * * Percent passing
No. 4 sieve, P4* * * * Percent passing
No. 40 sieve, P40* * * * * * Percent passing
No. 200 sieve, P200* * * * * Percent Clay, %Clay * * * * Percent Silt, %Silt * * * Liquid Limit, LL * * * * * * * Plasticity Index, PI * * * * * * Water content of test specimen, Ws * * * * * * * Dry density of test specimen, gammas * * * * * * Optimum water content, Wopt * * * * * * * Maximum dry unit weight, gammaopt * * * * * * * * Number of MR Tests 109 49 81 66 187 32 92 122 509 108 512
Dividing the base/subbase materials by material code improves the regression statistics from the overall base/subbase model (see appendix E). When the crushed stone material was separated into auger and test pit samples, as recommended in chapter 3, some improvement was observed. However, this improvement is inconclusive and debatable because the greater correlation may be the result of the smaller sample size. The uncrushed gravel was not separated into auger and test pit samples due to a limited number of data points (refer to table 5).
Sorting the subgrade by soil type also improved the regression statistics as compared to the overall soil model (see appendix E). The subgrade materials were not classified in accordance with AASHTO, because the number of data points was limited for some of the classifications. Sampling technique (auger versus test pit samples) did not improve the regression statistics. The remaining part of this chapter presents the regression equations that resulted from the nonlinear optimization for each base material type and soil group. The residuals (bias) for each of the prediction models are provided in appendix E. The symbols used in the following equations were defined in chapter 2 (equation 3) and in table 15.
Unbound Aggregate Base/Subbase Materials
Crushed Stone Materials - LTPP Material Code 303
(Equation 6)
Number of points = 853
Mean squared error = 1699.6
Se = 41.23
Sy = 87.42
Se/Sy = 0.4716Figure 21 shows a comparison of the measured and predicted resilient modulus using equation 6 at the appropriate stress states used to test crushed stone base materials.
Crushed Gravel - LTPP Material Code 304
(Equation 7)
Number of points = 404
Mean squared error = 854.4
Se = 29.23
Sy = 66.74
Se/Sy = 0.4380Figure 22 shows a comparison of the measured and predicted resilient modulus using equation 7 at the appropriate stress states used to test crushed gravel base materials.
Uncrushed Gravel - LTPP Material Code 302
(Equation 8)
Number of points = 461
Mean squared error = 475.9
Se = 21.81
Sy = 63.05
Se/Sy = 0.3460Figure 23 shows a comparison of the measured and predicted resilient modulus using equation 8 at the appropriate stress states used to test crushed gravel base materials.
Sand - LTPP Material Code 306
(Equation 9)
Number of points = 519
Mean squared error = 512.7
Se = 22.64
Sy = 51.61
Se/Sy = 0.4388Figure 24 shows a comparison of the measured and predicted resilient modulus using equation 9 at the appropriate stress states used to test sand base materials.
Coarse-Grained Soil-Aggregate Mixture - LTPP Material Code 308
(10)
Number of points = 2,323
Mean squared error = 1883.9
Se = 43.40
Sy = 80.19
Se/Sy = 0.5413Figure 25 shows a comparison of the measured and predicted resilient modulus using equation 10 at the appropriate stress states used to test coarse-grained soil-aggregate base materials.
Fine-Grained Soil-Aggregate Mixture - LTPP Material Code 307
(Equation 11)
Number of points = 390
Mean squared error = 588.2
Se = 24.25
Sy = 49.37
Se/Sy = 0.4912Figure 26 shows a comparison of the measured and predicted resilient modulus using equation 11 at the appropriate stress states used to test fine-grained soil-aggregate base materials.
Fine-Grained Soil - LTPP Material Code 309
(Equation 12)
Number of points = 1,079
Mean squared error = 1,167
Se = 34.16
Sy = 62.80
Se/Sy = 0.5440Figure 27 shows a comparison of the measured and predicted resilient modulus using equation 12 at the appropriate stress states used to test fine-grained soil base materials.
Subgrade SoilsCoarse-Grained Gravel Soils
(Equation 13)
Number of points = 957
Mean squared error = 301.3
Se = 17.36
Sy = 26.81
Se/Sy = 0.6474Figure 28 shows a comparison of the measured and predicted resilient modulus using equation 13 at the appropriate stress states used to test coarse-grained gravel soils.
Coarse-Grained Sand Soils
(Equation 14)
Number of points = 3,117
Mean squared error = 357.7
Se = 18.91
Sy = 24.79
Se/Sy = 0.7630Figure 29 shows a comparison of the measured and predicted resilient modulus using equation 14 at the appropriate stress states used to test coarse-grained sand soils.
Fine-Grained Silt Soils
(Equation 15)
Number of points = 464
Mean squared error = 193.0
Se = 13.89
Sy = 24.71
Se/Sy = 0.5622Figure 30 shows a comparison of the measured and predicted resilient modulus using equation 15 at the appropriate stress states used to test fine-grained silt soils.
Fine-Grained Clay Soils
(Equation 16)
Number of points = 1,484
Mean squared error = 557.9
Se = 23.62
Sy = 29.22
Se/Sy = 0.8082
Figure 31 shows a comparison of the measured and predicted resilient modulus using equation 16 at the appropriate stress states used to test fine-grained clay soils.
The results from the nonlinear optimization regression study were compared to those from earlier studies. The statistical parameters for some of the unbound aggregate base and subbase layers improved, indicating that the defined anomalies and use of nonlinear regression techniques were important. In summary, the physical properties show fair to good correlations between the physical properties and MR. The following are some of the more important findings from these correlation studies:
- Several key factors affect the correlation between the material physical properties of the pavement materials and soils and MR. For example, recompacting the materials may have changed some of the physical features of the test specimens from what was measured for the bulk samples.
- The statistics for all models were generally fair to good for both the unbound aggregate materials and the subgrade soils. Breaking the data groups into subgroups by sampling technique did improve on the regression statistics. Most of the se/sy terms are less than 0.7. The base materials generally have better statistical parameters than the soils.
- The primary result from these correlation studies is that the resilient modulus from constitutive equation 3 can be reasonably predicted from the physical properties that are included in the LTPP database.
- The physical properties of percent clay and test specimen moisture content or density are important for all soil groups.
- Percent silt was an important property for all soil groups, except for the gravelly soils.
Figure 32 shows a comparison of the calculated MR between the test pit and augered samples using the regression equations to estimate the k-coefficients. A bias is present in the calculated MR values between the test pit and augered samples and supports the previous observation that there is an effect of sampling technique for the crushed stone base materials included in the LTPP database.
Figure 33 shows the comparison of the predicted MrR using the regression models developed for the different sampling techniques for sand. The error in the calculated MR using the physical properties overshadows any difference caused by the different sampling techniques used.
The physical properties correlated to the resilient modulus varied between the different base/subbase material groups. No one physical property was included for all material types. However, the liquid limit, plasticity index, and the amount of material passing the smaller sieve sizes are important for the lower strength unbound base/subbase materials, while a measure of the moisture content and density are important for the higher strength materials. The amount of material passing the larger sieve sizes are related to the resilient modulus of the unbound base/subbase materials with the larger aggregate particles, as expected.
Until additional test results become available to improve or confirm these relationships, it is recommended that at least some resilient modulus tests be performed to measure the MR for unbound pavement materials and soils.
Repeated-load resilient modulus tests are being performed on all unbound pavement materials and soils from the SPS and GPS test sections included in FHWA's LTPP program in accordance with LTPP test protocol P46. The overall goal of this study was to complete a detailed review of the LTPP MR data and to identify potential anomalies and bias in those data. To accomplish that goal, correlation studies and regression analysis were completed in evaluating MR test results. The correlation and regression studies included:
- Regression of the k-coefficients of equation 3.
- Comparison of the distributions of each k-coefficient for different data groups to identify any bias or differences between different data sets.
- Identification of the physical properties and other parameters that affect the response characteristics of the materials and soils tested.
The following is a summary of the findings and recommendations from this study:
- A total of 2,014 MR tests of unbound pavement materials and soils have a Level E data status, while 1,594 tests have not yet obtained a Level E status in the LTPP database as of the October 2000 data release. It is expected that the number of completed MR tests with a Level E status will significantly increase in future data releases.
- Constitutive equation 3 was found to be an excellent fit to the MR test results included in the LTPP database. Specifically, almost 92 percent of the LTPP MR test results have response characteristics that can be accurately simulated by constitutive equation 3. Constitutive equation 3 is the equation selected for use in development of the 2002 Design Guide. It is important to note that the values for the k1 coefficient reported herein from the regression studies were determined using units of kPa for the pressure and stress parameters and units of MPa for the MR.
- Coefficient k6 (pore-water pressure or cohesion term) in equation 3 was found to be zero for more than 50 percent of the MR tests. The non-zero values of k6 were highly variable and have a uniform distribution. Thus, k6 was assumed to be zero for all of the correlation studies and analyses performed on the MR test data. This assumption should be checked and confirmed as additional MR test results reach a Level E data status in the LTPP database.
- Coefficient k3 was found to be zero for nearly 25 percent of the MR tests performed on the unbound aggregate base/subbase materials and about 10 percent of the tests performed on the coarse-grained subgrade soils.
- There were 185 MR tests (approximately 8 percent) that were flagged with potential anomalies. Most of the anomalous tests (103 of 185 flagged tests) were defined as a type 4 anomaly. A type 4 anomaly exhibits a different stress sensitivity between the different confining pressures. Some of these differences are large enough that the higher confining pressure will result in a lower MR than a lower confining pressure at the same repeated vertical load. Samples that exhibit this type of anomaly should be retested.
- Sampling technique (auger versus test pit samples) does have an effect on the MR test results for the uncrushed gravel and crushed stone base/subbase materials. No significant difference was found between the augered and test pit samples of the other base/subbase materials.
- Sampling technique also has an effect on the MR test results for the subgrade soils. However, only one of the k-coefficients regressed from the MR test data for the augered and test pit samples were found to be different for the coarse-grained soils and no difference was found for the fine-grained soils. Conversely, at least one of the k-coefficients was found to be different for all soil groups when comparing undisturbed and disturbed test specimens. Multiple k-coefficients (including k1) were found to be different for the clay soils. Thus, it appears that there is a significant difference in the MR test results for selected data groups that can be attributed to, or explained by, the use of different sampling techniques. These data groups include undisturbed versus disturbed test specimens for the clay soils and augered versus test pit specimens for the crushed stone base/subbase materials. At a minimum, these data groups should be considered as different populations of MR test data.
- The physical properties correlated to resilient modulus varied between the different materials and soils. No one physical property was included for all materials and soils. However, the following summarizes the properties related to the k-coefficients for many of the data groups:
- Liquid limit, plasticity index, and the amount of material passing the smaller sieve sizes were found to be important as related to the resilient modulus for the lower strength unbound aggregate base/subbase materials, while the moisture content and density were important as related to the higher strength materials.
- The amount of material passing the larger sieve sizes was important for the unbound aggregate base/subbase materials with larger aggregates.
- Percent clay and test specimen moisture content or density are important for all soil groups.
- Percent silt was important for all soil groups except gravel.
- The statistics for all models relating the resilient modulus to physical properties were fair to good for most data groups. Breaking the data groups into subgroups by sampling technique and material or soil type did improve on the regression statistics. Thus, the primary result from these regression studies is that the resilient modulus can be reasonably predicted from those physical properties that are included in the LTPP database. It should be noted that these correlation and regression studies did not consider any effect that may have been caused by the use of different testing contractors.
Two important recommendations are a result of this study:
- The review process identified in chapter 2 should be performed on the resilient modulus test results after each test is completed. In other words, the review process to identify anomalous data should become a part of the QC process, but the review should be performed immediately after testing. Retests can then be scheduled and performed for those tests that are flagged.
- The findings and observations from this study should be verified and confirmed after all MR tests have been completed, checked through the QC process, and have reached a Level E data status in the LTPP database.
The final recommendation or suggestion is to determine if there is any effect or bias in the resilient modulus test results between the different testing contractors (i.e., operator- or equipment-dependent). The bias for each prediction model was provided in appendix E. The resilient modulus data should be studied in more detail to identify any causes of the bias that appear to be material- and/or stress-state-dependent.
Appendix A, table 16, provides a tabulation of the k-coefficients that were determined for each resilient modulus test using nonlinear regression techniques for the "universal" constitutive equation. Various statistical parameters are also tabulated for each test. These statistical parameters include the following:
RMSE = Root Mean Squared Error
MSE = Mean Squared Error
R2
Se/Sy
* - Reference to LTPP Database Code List
State
CodeSHRP
IDLayer
No.Test
No.Loc.
No.Sample
No.k1 k2 k3 No.
PointsStd
Dev(MR)RMSE MSE R2 Se/Sy 1 0101 1 2 B6 BS06 0.7371 0.1236 -0.7748 15 4.1656 2.0358 4.1447 0.9991 0.4887 1 0102 1 2 B7 BS07 0.7810 0.1497 -0.4579 15 4.3337 2.4088 5.8023 0.9990 0.5558 1 0103 1 2 B5 BS05 0.7471 0.1952 -1.2825 15 5.9738 1.9974 3.9898 0.9991 0.3344 1 0106 1 2 B4 BS04 0.7514 0.1787 -0.2832 15 4.6260 1.8647 3.4770 0.9994 0.4031 1 0107 1 2 B1 BS01 0.6701 0.2137 -1.0366 15 4.9454 1.4704 2.1620 0.9994 0.2973 1 0108 1 2 B2 BS02 0.7619 0.1612 -0.4410 15 4.1196 1.6944 2.8708 0.9995 0.4113 1 0111 1 2 B3 BS03 0.7628 0.1344 -0.2691 15 4.1827 2.7063 7.3239 0.9988 0.6470 1 0502 1 1 TP1 BS55 0.6190 0.3902 0.0000 15 9.0806 1.9745 3.8986 0.9992 0.2174 1 0502 2 1 TP1 BG56 0.6188 0.5133 -0.0405 15 33.6647 1.1438 1.3084 0.9999 0.0340 1 0502 2 2 TP1 BG56 0.5948 0.4399 0.0000 15 9.8985 1.9707 3.8836 0.9991 0.1991 1 1001 2 2 TP1 BG56 0.7172 0.7705 -0.0458 15 78.1141 6.6861 44.7042 0.9987 0.0856 1 1001 2 2 TP1 BG57 0.7268 0.7067 -0.1472 15 62.5584 5.6975 32.4613 0.9988 0.0911 1 1011 1 1 A1 TS01 0.8228 0.1655 -2.2042 15 9.7575 4.6641 21.7535 0.9946 0.4780 1 1011 1 2 A2 TS03 1.7600 0.4354 -3.1476 15 25.0337 4.9273 24.2783 0.9984 0.1968 1 1011 2 1 BA* BG** 0.9145 0.5503 0.0000 15 57.9386 4.5896 21.0643 0.9994 0.0792 1 1011 2 2 BA* BG** 0.9613 0.6280 -0.1737 15 65.4470 5.6762 32.2189 0.9992 0.0867 1 1011 3 1 BA* BG** 0.5700 0.9897 0.0000 15 103.5283 6.7758 45.9112 0.9990 0.0654 1 1019 1 1 A1 TS02 1.2501 0.4131 -1.2442 15 15.3623 5.3629 28.7604 0.9978 0.3491 1 1019 1 2 A2 TS03 0.5343 0.4178 0.0000 15 8.9320 3.2359 10.4713 0.9971 0.3623 1 1019 2 1 BA* BG** 0.9962 0.6250 0.0000 15 80.1910 17.8706 319.3589 0.9934 0.2229 1 1019 2 2 TP1 BG55 0.7799 0.6658 -0.1396 15 61.1355 6.8790 47.3208 0.9984 0.1125 1 1021 1 1 A1 TS01 0.8648 0.5048 -2.3817 15 12.6630 4.1558 17.2709 0.9963 0.3282 1 1021 1 2 A2 TS03 1.2172 0.2507 -2.9302 15 15.9592 5.0640 25.6442 0.9966 0.3173 1 1021 2 1 BA* BG** 0.9483 0.6619 -0.1447 15 72.2560 4.8052 23.0902 0.9994 0.0665 1 1021 2 2 TP1 BG55 0.8984 0.7054 -0.2732 15 70.3500 8.9635 80.3441 0.9979 0.1274 1 3028 1 1 BA* BS** 1.2131 0.2656 0.0000 15 24.3307 21.2344 450.8977 0.9750 0.8727 1 3028 1 2 BA* BS** 1.8894 0.2760 -2.2448 15 20.6635 2.8790 8.2887 0.9996 0.1393 1 3028 2 1 BA* BG** 1.4464 0.5184 -0.0799 15 77.6224 17.7199 313.9942 0.9956 0.2283 1 3028 2 2 BA* BG** 1.2310 0.7180 -0.6733 15 76.8463 22.2049 493.0587 0.9905 0.2890 1 3028 3 1 BA* BG** 1.0271 0.6810 0.0000 15 90.4006 11.0833 122.8406 0.9979 0.1226 1 3028 3 2 BA* BG** 1.5955 0.5814 0.0000 15 110.8525 14.2134 202.0195 0.9982 0.1282 1 3998 1 2 BA* BS** 1.0637 0.3231 -1.0555 15 10.6735 3.7247 13.8734 0.9986 0.3490 1 3998 3 1 BA1 BG** 0.9738 0.5864 -0.2905 15 52.9351 6.8765 47.2866 0.9985 0.1299 1 3998 3 2 BA4 BG04 0.8006 0.6053 -0.2377 14 45.7415 3.5012 12.2582 0.9994 0.0765 1 4007 1 1 BA* BS** 0.8141 0.4355 -3.0154 15 12.1330 4.3485 18.9090 0.9944 0.3584 1 4007 1 2 BA* BS** 1.3948 0.2649 -2.8767 15 17.6589 2.3832 5.6795 0.9994 0.1350 1 4007 2 1 BA* BG** 0.9494 0.5808 -0.1435 15 57.4057 7.0918 50.2932 0.9985 0.1235 1 4007 2 2 BA* BG** 0.8383 0.5634 0.0000 15 54.5472 10.8640 118.0265 0.9959 0.1992 1 4007 3 1 BA* BG** 1.3816 0.5590 0.0000 15 91.1401 12.7308 162.0725 0.9979 0.1397 1 4007 3 2 BA* BG** 0.9497 0.7222 0.0000 15 94.7404 13.2385 175.2568 0.9969 0.1397 1 4073 1 1 BA* BS** 0.9002 0.1355 -0.2725 15 6.4609 5.2374 27.4301 0.9968 0.8106 1 4073 1 2 A2 TS03 0.7229 0.1997 0.0000 15 16.3509 15.4884 239.8912 0.9618 0.9473 1 4073 3 1 BA* BG** 0.9836 0.2466 0.0000 15 84.1259 81.9652 6718.2890 0.7186 0.9743 1 4073 3 2 BA* BG** 0.8174 0.7952 -0.1003 15 90.1776 6.7010 44.9029 0.9990 0.0743 1 4084 1 1 A1 TS01 0.8795 0.1582 -0.4664 15 5.0256 2.5857 6.6857 0.9991 0.5145 1 4084 1 2 BA* BS** 1.0375 0.2973 -0.5501 15 10.1901 4.1911 17.5656 0.9984 0.4113 1 4084 2 1 BA* BG** 0.5990 0.7892 -0.1143 15 63.8606 3.1233 9.7553 0.9996 0.0489 1 4084 2 2 BA* BG** 0.7972 0.5885 0.0000 15 69.4017 50.4695 2547.1710 0.9121 0.7272 1 4084 3 1 BA* BG** 0.6778 0.7146 0.0000 15 64.6516 9.1687 84.0648 0.9970 0.1418 1 4084 3 2 BA* BG** 0.7800 0.8275 -0.0167 15 97.7705 5.2889 27.9730 0.9995 0.0541 1 4125 1 1 BA* BS** 0.8059 0.1801 -0.3696 15 7.6389 6.1378 37.6726 0.9944 0.8035 1 4125 1 2 BA* BS** 1.1292 0.2901 -1.0669 15 10.8659 4.6570 21.6877 0.9980 0.4286 1 4125 2 1 BA* BG** 0.8139 0.6263 -0.1825 15 53.9916 5.5835 31.1760 0.9989 0.1034 1 4125 2 2 BA* BG** 1.1805 0.5535 -0.7258 15 43.2580 15.0289 225.8680 0.9924 0.3474 1 4126 1 1 A1 TS01 0.7751 0.2980 -1.6994 15 8.9400 4.5929 21.0945 0.9951 0.5137 1 4126 1 2 BA* BS** 0.7809 0.4647 -1.1358 15 10.8483 3.5572 12.6540 0.9977 0.3279 1 4126 2 1 BA* BG** 1.0471 0.6218 0.0000 15 80.4536 7.2282 52.2470 0.9990 0.0898 1 4126 2 2 BA* BG** 0.6490 0.7825 0.0000 15 73.9168 7.9356 62.9744 0.9980 0.1074 1 4127 1 1 A1 TS01 1.1422 0.3306 -2.7938 15 14.2538 2.6335 6.9355 0.9990 0.1848 1 4127 1 2 BA* BS** 1.3265 0.0829 -1.7482 15 13.6162 6.0374 36.4507 0.9969 0.4434 1 4127 2 1 BA* BG** 0.7026 0.7705 0.0000 15 77.0454 8.5414 72.9563 0.9980 0.1109 1 4127 2 2 BA* BG** 0.5337 0.7125 0.0000 15 52.2137 16.6248 276.3824 0.9845 0.3184 1 4129 1 1 BA* BS** 1.1543 0.3027 -2.8987 15 15.1453 3.7856 14.3305 0.9979 0.2499 1 4129 1 2 TP1 BS55 0.8461 0.1659 -0.9872 15 7.4661 5.4494 29.6957 0.9951 0.7299 1 4129 2 2 TP1 BG56 0.8022 0.8315 -0.6935 15 62.8943 5.7104 32.6087 0.9989 0.0908 1 4155 2 2 BA* BG** 1.1041 0.6834 -0.0930 15 92.5873 6.6830 44.6630 0.9993 0.0722 1 5008 1 1 A1 TS01 1.0711 0.2380 -3.5698 15 16.1103 5.9652 35.5836 0.9927 0.3703 1 5008 1 2 A2 TS03 0.7008 0.3522 -1.7352 15 8.1650 3.1471 9.9044 0.9972 0.3854 1 6012 1 1 A1 TS01 0.6492 0.3830 -0.5643 15 8.5206 3.4496 11.8995 0.9973 0.4049 1 6012 1 2 A2 TS03 0.7752 0.5601 -1.7078 15 11.9012 3.1382 9.8480 0.9979 0.2637 1 6012 2 1 BA* BG** 0.8778 0.5954 -0.1138 15 57.2686 4.1081 16.8766 0.9995 0.0717 1 6012 2 2 TP1 BG55 1.0494 0.7489 -0.4188 15 80.4753 15.7269 247.3352 0.9952 0.1954 1 6019 1 1 A1 TS01 0.7928 0.3903 -0.9354 15 9.8595 3.9358 15.4902 0.9973 0.3992 1 6019 1 2 BA* BS** 0.8190 0.4979 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1 1 BA* BS** 0.6856 0.1867 -2.6215 15 8.1211 0.9616 0.9247 0.9996 0.1184 8 6002 1 2 A2 TS03 0.6370 0.1238 -1.4454 15 5.0803 1.4370 2.0649 0.9993 0.2829 8 6002 1 2 TP1 BS92 0.7331 0.1433 -0.7818 15 3.9857 1.2319 1.5176 0.9997 0.3091 8 6013 1 1 BA* BS** 0.6407 0.3661 -0.3677 15 7.8237 2.1590 4.6613 0.9990 0.2760 8 6013 1 2 TP1 BS93 1.1514 0.2051 0.0000 15 9.4315 3.7882 14.3503 0.9991 0.4017 8 6013 2 1 BA* BG** 0.5359 0.5580 -0.0894 15 31.8523 1.9124 3.6571 0.9997 0.0600 8 6013 2 2 TP1 BG** 0.5387 0.5594 -0.0662 15 32.7039 2.0364 4.1469 0.9996 0.0623 8 7035 1 1 BA* BS** 0.6074 0.3382 -2.7277 15 7.6669 1.2863 1.6546 0.9992 0.1678 8 7035 1 2 A2 TS04 0.5484 0.2235 -1.7124 15 5.3745 2.0893 4.3652 0.9979 0.3887 8 7035 1 2 BA* BS** 0.6203 0.1806 -1.0651 15 4.4668 1.7725 3.1418 0.9990 0.3968 8 7035 2 1 BA* BG** 0.4811 0.5986 -0.0881 15 31.9707 1.6310 2.6602 0.9997 0.0510 8 7035 3 1 BA* BG** 0.4806 0.5932 -0.0714 15 31.7352 2.3839 5.6831 0.9994 0.0751 8 7035 3 2 BA* BG** 0.7105 0.4240 -0.2531 15 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9019 1 1 A1 TS01 0.3696 0.3750 -0.8599 15 4.1346 0.9031 0.8155 0.9994 0.2184 8 9019 1 1 BA* BS** 0.9485 0.2802 0.0000 15 12.3508 7.5625 57.1918 0.9947 0.6123 8 9019 1 2 A2 TS03 0.6984 0.2732 -1.9740 15 7.3140 1.5861 2.5157 0.9992 0.2169 8 9019 1 2 BA* BS** 0.4042 0.5291 -2.3357 15 6.0922 2.1659 4.6913 0.9955 0.3555 8 9020 1 2 BA* BS** 1.0004 0.1542 -0.7844 15 5.6627 1.8133 3.2881 0.9996 0.3202 9 4008 1 1 BA3 BS03 0.6505 0.3644 0.0000 15 9.8329 4.6889 21.9862 0.9958 0.4769 9 4008 1 2 BA* BS** 0.5737 0.8205 -0.9856 15 14.2618 2.4301 5.9052 0.9984 0.1704 9 4020 1 1 BA2 BS02 0.7663 0.7455 -1.2817 15 16.2299 2.4766 6.1335 0.9989 0.1526 9 4020 2 1 BA* BG** 0.5391 0.7107 -0.0837 15 48.4510 2.8189 7.9459 0.9995 0.0582 9 5001 1 1 BA2 BS02 0.5722 0.7457 0.0000 15 19.1067 10.7988 116.6134 0.9767 0.5652 10 0102 1 1 B2 BS02 0.4871 0.5315 -0.9233 15 7.7870 2.0947 4.3880 0.9981 0.2690 10 0102 1 2 B9 BS09 0.5034 0.5382 -0.2964 15 9.2644 1.3894 1.9306 0.9994 0.1500 10 0102 1 3 A5 TS09 0.5967 0.5457 -0.2679 15 11.1688 1.5807 2.4987 0.9994 0.1415 10 0103 1 2 B10 BS10 0.5404 0.5512 -0.6219 15 9.3859 1.5664 2.4536 0.9992 0.1669 10 0103 1 3 A9 TS17 0.5965 0.5502 -0.3580 15 10.9991 1.6094 2.5901 0.9994 0.1463 10 0103 1 1 B3 BS03 0.8096 0.1229 -0.2659 15 3.9677 2.4820 6.1605 0.9991 0.6256 10 0104 1 1 B7 BS07 0.4675 0.6321 -0.4759 15 9.7209 1.2112 1.4671 0.9994 0.1246 10 0107 1 1 B1 BS01 0.6174 0.4327 -0.9619 15 8.0131 2.3818 5.6729 0.9984 0.2972 10 0107 1 2 B8 BS08 0.4873 0.5850 -0.1576 15 10.2251 1.7274 2.9838 0.9990 0.1689 10 0107 1 3 A2 TS03 0.5169 0.5536 0.0000 15 10.8724 2.4980 6.2399 0.9983 0.2298 10 0108 1 1 B5 BS05 0.5706 0.5549 -1.3240 15 8.9576 2.1710 4.7134 0.9983 0.2424 10 0108 1 3 A14 TS28 0.5804 0.4935 -2.2309 15 8.1387 2.0369 4.1491 0.9981 0.2503 10 0112 1 1 B11 BS11 0.5580 0.5114 -0.7176 15 8.8172 2.0666 4.2710 0.9987 0.2344 10 0112 1 2 B4 BS04 0.8166 0.2650 -0.9352 15 7.2230 3.1764 10.0897 0.9983 0.4398 10 0201 1 2 B12 BS06 0.4610 0.5518 -0.4218 15 8.5228 1.8790 3.5306 0.9986 0.2205 10 0201 1 3 A17 TS33 0.5080 0.5210 0.0000 15 10.0048 2.0051 4.0205 0.9988 0.2004 10 0201 2 1 B6 BG06 0.4745 0.6041 -0.2803 15 9.9403 1.6500 2.7226 0.9990 0.1660 10 0202 1 1 B3 BG03 0.5146 0.6021 -0.3152 15 10.8641 3.0002 9.0010 0.9972 0.2762 10 0202 1 2 B9 BS03 0.5223 0.5351 -0.7636 15 8.5846 1.8367 3.3736 0.9988 0.2140 10 0204 1 3 A2 TS03 0.5974 0.4958 0.0000 15 11.5726 3.8093 14.5104 0.9969 0.3292 10 0204 2 2 B1 BG01 0.5278 0.6023 -0.5789 15 10.1254 1.4023 1.9663 0.9994 0.1385 10 0207 1 1 B10 BS04 0.7416 0.3477 -1.4035 15 8.0000 2.5807 6.6600 0.9985 0.3226 10 0207 1 3 A11 TS21 0.5275 0.4735 0.0000 15 9.5334 2.4055 5.7863 0.9984 0.2523 10 0207 2 2 B4 BG04 0.5149 0.5627 -0.4112 15 9.5877 1.3647 1.8625 0.9994 0.1423 10 0211 1 2 B11 BS05 0.6758 0.3955 -1.1849 15 8.0196 2.5438 6.4710 0.9983 0.3172 10 0211 1 3 A14 TS27 0.5715 0.4488 0.0000 15 9.6174 1.8783 3.5280 0.9992 0.1953 10 0212 1 1 B2 BG02 0.5013 0.5471 -0.3572 15 9.1963 1.3752 1.8911 0.9994 0.1495 10 0212 1 2 B8 BS02 0.5802 0.5153 -0.8925 15 8.9857 2.0707 4.2878 0.9987 0.2304 10 1201 1 1 BA** BS** 0.9346 0.5452 -1.4123 14 14.1229 4.2089 17.7146 0.9977 0.2980 10 1201 1 2 BA** BS** 0.8074 0.5196 -0.7583 15 12.9585 2.8740 8.2597 0.9988 0.2218 10 1201 2 1 BA1 BG03 0.6557 0.7192 -0.3295 14 50.8403 3.7755 14.2546 0.9993 0.0743 10 4002 2 1 BA* BG** 0.8164 0.6761 -0.3259 15 55.3411 6.6851 44.6902 0.9984 0.1208 10 4002 2 2 BA* BG** 0.6919 0.7114 -0.3183 15 52.1586 3.7721 14.2287 0.9993 0.0723 10 5004 2 1 BA2 BG02 0.6689 0.7362 -0.1552 14 58.6943 3.1649 10.0163 0.9996 0.0539 10 5004 2 2 BA* BG** 0.7930 0.6578 -0.2301 14 55.4522 5.1026 26.0365 0.9990 0.0920 10 5005 1 1 BA1 BS01 0.7943 0.6288 -1.1734 15 14.2839 2.7062 7.3232 0.9988 0.1895 10 5005 1 2 BA6 BS06 0.6353 0.5872 0.0000 15 15.0943 5.9591 35.5111 0.9936 0.3948 10 5005 2 1 BA* BG** 0.7074 0.7208 -0.2847 15 55.6949 4.2563 18.1164 0.9993 0.0764 12 0101 1 1 B5 BS05 0.5973 0.5024 0.0000 15 11.2088 1.6014 2.5645 0.9994 0.1429 12 0104 1 2 B4 BS04 0.6657 0.4732 0.0000 15 11.9236 2.6877 7.2239 0.9987 0.2254 12 0106 1 2 B2 BS02 0.6817 0.4674 -0.2324 15 11.4547 3.4737 12.0663 0.9978 0.3033 12 0107 1 2 B1 BS01 0.6119 0.6186 -0.1422 15 13.6845 2.0042 4.0167 0.9992 0.1465 12 0112 1 2 B3 BS03 0.6652 0.5724 -0.2718 15 13.2259 1.9549 3.8217 0.9993 0.1478 12 1030 1 1 A1 TS01 0.7635 0.8401 -1.0871 15 20.2395 7.2234 52.1774 0.9917 0.3569 12 1030 1 2 TP1 BS55 1.0741 0.5049 0.0000 15 20.5735 3.9253 15.4082 0.9990 0.1908 12 1030 2 1 BA* BG** 1.1649 0.5985 -0.2235 15 69.8153 3.9118 15.3021 0.9997 0.0560 12 1030 2 2 TP1 BG56 1.0276 0.5576 0.0000 15 66.2582 6.3145 39.8731 0.9991 0.0953 12 1030 3 1 BA* BG** 0.7311 0.7292 -0.0214 15 71.7623 12.6045 158.8739 0.9953 0.1756 12 1030 3 2 TP1 BG55 0.9320 0.6805 0.0000 15 82.1426 10.4899 110.0383 0.9978 0.1277 12 1370 2 1 BA* BG** 0.7739 0.7513 -0.2882 15 68.6942 11.3641 129.1437 0.9959 0.1654 12 1370 2 2 TP1 BG56 0.7039 0.6223 0.0000 15 53.6308 5.1446 26.4664 0.9989 0.0959 12 1370 3 2 TP1 BG55 0.9465 0.7224 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15 22.7466 3.7254 13.8786 0.9992 0.1638 12 3996 1 2 A2 TS03 0.7946 0.6264 -0.6460 15 16.2255 3.5180 12.3766 0.9982 0.2168 12 3996 2 1 BA* BG** 1.2738 0.5697 -0.2774 15 66.8735 7.1835 51.6032 0.9990 0.1074 12 3996 2 2 TP1 BG56 1.1808 0.6139 -0.1975 15 75.3561 5.1741 26.7718 0.9995 0.0687 12 3996 3 2 TP1 BG55 1.2266 0.5697 -0.2059 15 68.3164 10.4957 110.1605 0.9979 0.1536 12 3997 1 1 BA* BS** 0.9690 0.4790 -0.2001 15 16.4152 3.3933 11.5143 0.9990 0.2067 12 3997 1 2 A2 TS02 0.5257 0.7256 -1.0220 15 11.7866 1.6129 2.6014 0.9991 0.1368 12 3997 2 1 BA* BG** 0.6290 0.8039 -0.3322 15 58.9405 4.6904 21.9994 0.9990 0.0796 12 3997 2 2 TP1 BG56 0.6511 0.7805 -0.2947 15 59.1027 4.8368 23.3942 0.9990 0.0818 12 3997 3 1 BA* BG** 0.9810 0.6149 0.0000 15 87.3458 56.1647 3154.4790 0.9313 0.6430 12 3997 3 2 TP1 BG55 1.8166 0.6821 -0.3972 15 119.9431 11.8271 139.8806 0.9989 0.0986 12 4000 1 1 A1 TS01 0.7079 0.1281 0.0000 15 13.2043 12.7528 162.6327 0.9723 0.9658 12 4000 1 2 A2 TS04 0.6955 0.5877 -0.3577 15 14.1808 2.9421 8.6558 0.9985 0.2075 12 4057 1 1 A1 TS01 1.0015 0.6071 -0.2501 15 22.2544 7.1691 51.3967 0.9959 0.3221 12 4057 1 2 A2 TS03 1.1368 0.7373 -0.6570 15 28.9109 8.2250 67.6514 0.9956 0.2845 12 4057 2 1 BA* BG** 1.1329 0.5996 -0.1200 15 73.9796 3.5863 12.8614 0.9998 0.0485 12 4057 2 2 BA* BG** 1.1356 0.5978 -0.1918 15 70.0804 5.2201 27.2492 0.9994 0.0745 12 4059 1 1 A1 TS01 0.7213 0.5814 0.0000 15 17.4465 7.2319 52.3008 0.9926 0.4145 12 4059 1 2 BA* BS** 0.8018 0.3872 -0.3412 15 11.6937 6.1376 37.6695 0.9948 0.5249 12 4059 2 1 BA* BG** 1.6715 0.5319 -0.4455 15 68.3669 12.1150 146.7725 0.9979 0.1772 12 4059 2 2 BA* BG** 1.5439 0.5875 -0.3898 15 77.7682 7.6240 58.1253 0.9992 0.0980 12 4096 1 1 A1 TS01 0.5874 0.6335 0.0000 15 14.8558 4.6186 21.3318 0.9956 0.3109 12 4096 1 2 A2 TS03 0.6756 0.8444 -0.6089 15 19.4696 4.5569 20.7655 0.9964 0.2341 12 4096 2 1 BA* BG** 0.8613 0.5729 -0.1239 15 52.0244 3.7153 13.8037 0.9995 0.0714 12 4096 2 2 TP1 BG55 0.5867 0.7227 -0.1420 15 51.8209 1.8257 3.3332 0.9998 0.0352 12 4097 1 1 A1 TS01 0.8105 0.4330 -0.4685 15 11.8615 3.5622 12.6895 0.9982 0.3003 12 4097 1 2 A2 TS03 1.1159 0.5017 -1.1770 15 16.3963 4.1717 17.4031 0.9984 0.2544 12 4099 1 1 BA* BS** 0.9644 0.5428 0.0000 15 20.0649 4.5685 20.8710 0.9983 0.2277 12 4099 1 2 TP1 BS55 1.0681 0.5000 0.0000 13 21.3952 3.1893 10.1714 0.9993 0.1491 12 4099 2 1 BA* BG** 0.9989 0.6266 -0.1209 15 69.0869 3.5593 12.6688 0.9997 0.0515 12 4099 2 2 TP1 BG56 1.0873 0.5745 -0.0372 15 71.0889 3.6850 13.5794 0.9997 0.0518 12 4099 3 1 BA* BG** 1.0777 0.5905 -0.1316 15 67.4197 7.5809 57.4708 0.9987 0.1124 12 4100 1 1 A1 TS01 0.5159 0.5230 0.0000 15 10.5456 3.3422 11.1702 0.9968 0.3169 12 4100 1 2 A2 TS03 0.5491 0.5933 0.0000 15 12.4663 2.5676 6.5927 0.9984 0.2060 12 4100 2 1 BA* BG** 0.8429 0.6516 -0.3325 15 53.9442 4.1538 17.2545 0.9994 0.0770 12 4100 2 2 TP1 BG55 0.8432 0.5865 -0.0964 15 53.9411 2.6795 7.1797 0.9997 0.0497 12 4101 1 1 A1 TS01 0.4948 0.6069 -0.6083 15 9.7897 1.1690 1.3665 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0.8768 12 4103 1 2 TP1 BS55 0.8813 0.6075 -0.3588 14 18.7143 2.0665 4.2704 0.9996 0.1104 12 4103 2 1 BA* BG** 1.3077 0.6478 0.0000 15 107.1725 12.7980 163.7882 0.9981 0.1194 12 4103 2 2 BA* BG** 1.3077 0.6478 0.0000 15 107.1725 12.7980 163.7882 0.9981 0.1194 12 4103 2 2 TP1 BG56 1.4307 0.5687 -0.2639 15 75.8032 16.7789 281.5308 0.9958 0.2213 12 4103 3 1 BA* BG** 0.2985 1.0083 0.0000 15 55.7031 7.1588 51.2488 0.9960 0.1285 12 4103 3 2 TP1 BG55 0.3982 1.0622 0.0000 15 84.1613 5.0229 25.2297 0.9991 0.0597 12 4105 1 1 BA* BS** 0.9902 0.5251 -0.3831 15 17.5494 3.3652 11.3245 0.9990 0.1918 12 4105 1 2 BA* BS** 0.8644 0.6456 -0.3097 15 19.2942 2.9455 8.6757 0.9991 0.1527 12 4105 2 1 BA* BG** 0.9147 0.6413 -0.1892 15 63.5754 2.7306 7.4561 0.9998 0.0430 12 4105 2 2 BA* BG** 0.9363 0.5835 -0.1520 15 57.1025 3.0922 9.5615 0.9997 0.0542 12 4105 3 1 BA* BG** 1.1295 0.6654 -0.2417 15 79.3272 10.5297 110.8754 0.9980 0.1327 12 4105 3 2 BA* BG** 1.2034 0.5859 0.0000 15 83.1151 16.2179 263.0190 0.9958 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10.0419 0.9995 0.0616 18 5538 1 1 BA* BS** 0.6547 0.7629 -0.8125 15 15.6929 3.5963 12.9334 0.9974 0.2292 18 5538 1 2 BA* BS** 0.6262 0.7890 -0.8639 15 15.3877 2.2576 5.0969 0.9989 0.1467 18 5538 2 1 BA* BG** 0.6834 0.5664 -0.1700 15 38.8131 6.4711 41.8752 0.9975 0.1667 18 5538 2 2 BA* BG** 0.7562 0.4858 -0.1272 15 35.0845 6.5490 42.8899 0.9975 0.1867 18 6012 1 1 A1 TS01 1.4520 0.1806 -2.2634 15 15.7662 1.1087 1.2292 0.9999 0.0703 18 6012 1 2 A2 TS03 1.3473 0.2058 -3.0076 15 17.5070 1.3145 1.7279 0.9998 0.0751 18 9020 1 1 A1 TS02 1.8770 0.3469 -0.7316 15 19.4777 3.0350 9.2112 0.9997 0.1558 18 9020 1 2 A2 TS04 1.5309 0.1642 -1.3203 15 11.3356 1.6831 2.8328 0.9998 0.1485 18 9020 2 1 BA* BG** 0.8442 0.5724 -0.0204 15 54.5464 6.2601 39.1891 0.9987 0.1148 18 9020 2 2 BA* BG** 0.6308 0.7969 -0.1728 15 64.1682 4.6479 21.6026 0.9992 0.0724 19 0102 1 3 A5 TS10 1.4885 0.2082 -0.7352 14 9.2961 0.7045 0.4963 1.0000 0.0758 19 0103 1 3 A1 TS02 2.1248 0.2735 0.0000 15 21.6801 3.3727 11.3749 0.9998 0.1556 19 0106 1 3 A13 TS26 0.8838 0.1107 -3.3215 15 12.2909 1.2949 1.6768 0.9995 0.1054 19 0110 1 3 A10 TS20 1.2411 0.1176 -1.4465 15 9.7311 1.8654 3.4797 0.9997 0.1917 19 0110 1 3 A11 TS22 1.3405 0.1687 -1.1501 15 9.0827 1.5498 2.4019 0.9998 0.1706 19 0112 1 3 A9 TS18 1.6401 0.1607 -0.4726 15 8.2393 1.6502 2.7231 0.9999 0.2003 19 1044 1 1 BA* BS** 1.6966 0.2525 -1.3993 12 12.4633 1.4705 2.1623 0.9999 0.1180 19 1044 1 2 A2 TS03 2.0502 0.2428 -0.8598 15 15.2075 2.8095 7.8932 0.9998 0.1847 19 3006 1 1 A1 TS01 0.9369 0.1784 -3.9041 15 13.9932 1.9829 3.9321 0.9988 0.1417 19 3006 1 2 A2 TS03 1.4405 0.2547 -2.2705 15 15.9696 1.7289 2.9892 0.9998 0.1083 19 3009 1 1 BA* BS** 0.7151 0.7334 -1.4018 15 14.5448 2.0739 4.3010 0.9991 0.1426 19 3009 1 2 BA* BS** 0.8679 0.4185 -1.8791 14 10.7663 2.3589 5.5645 0.9989 0.2191 19 3009 2 2 BA* BG** 0.9315 0.4114 -0.5268 15 24.1217 7.9768 63.6300 0.9959 0.3307 19 3009 2 1 BA* BG** 2.1712 0.3023 -0.3806 15 38.1122 4.4926 20.1835 0.9997 0.1179 19 3028 1 1 BA* BS** 1.1183 0.2181 -2.5405 15 12.9861 1.2676 1.6069 0.9998 0.0976 19 3028 1 2 BA* BS** 0.8075 0.2894 -3.0993 15 10.5754 1.2393 1.5358 0.9995 0.1172 19 3033 1 1 A1 TS01 1.2537 0.2884 -2.1453 15 13.4837 2.4316 5.9129 0.9994 0.1803 19 3033 1 2 A2 TS03 1.4562 0.2610 -1.8767 15 14.4529 2.0627 4.2547 0.9997 0.1427 19 3055 1 1 A1 TS01 0.7844 0.1595 -2.7298 15 9.4542 0.7456 0.5560 0.9998 0.0789 19 3055 1 2 TP* BS** 1.6817 0.2754 -1.7494 15 16.1413 1.5473 2.3941 0.9999 0.0959 19 3055 2 1 BA* BG** 0.8248 0.7487 -0.1108 15 80.6146 7.5650 57.2297 0.9986 0.0938 19 3055 2 2 TP* BG** 0.6546 0.7635 -0.0902 15 65.5517 4.1582 17.2907 0.9994 0.0634 19 5042 1 2 BA* BS** 0.9288 0.5303 -2.7635 15 13.7502 2.3804 5.6664 0.9988 0.1731 19 5042 1 1 BA* BS** 1.2637 0.3349 -1.3799 15 12.7373 2.2182 4.9203 0.9996 0.1741 19 5046 1 1 BA* BS** 0.9709 0.6113 -1.9458 15 15.6701 2.9761 8.8572 0.9987 0.1899 19 5046 1 2 TP* BS** 1.0231 0.5057 -1.7480 15 14.2972 3.2284 10.4228 0.9987 0.2258 19 6049 1 1 A1 TS01 0.8254 0.1955 -3.3212 15 11.3103 2.1609 4.6693 0.9985 0.1911 19 6049 1 2 TP* BS** 1.0164 0.1962 -3.3031 15 13.8351 1.5015 2.2546 0.9995 0.1085 19 6150 1 1 BA* BS* 1.2065 0.2198 -1.2748 15 9.2849 0.4994 0.2494 1.0000 0.0538 19 6150 1 2 A2 TS03 0.4963 0.6050 -4.1992 15 8.4976 1.7196 2.9569 0.9970 0.2024 19 6150 2 1 BA* BG** 1.5332 0.3766 -0.5671 14 33.7438 13.8003 190.4490 0.9948 0.4090 19 6150 2 2 BA* BG** 1.6464 0.4173 -0.5915 14 40.4489 12.1557 147.7598 0.9967 0.3005 19 9126 1 1 A1 TS01 1.2189 0.3434 -2.9238 15 16.0036 2.5706 6.6081 0.9991 0.1606 19 9126 1 2 A2 TS03 0.8953 0.3317 -4.0784 15 13.3944 1.6416 2.6948 0.9991 0.1226 19 9126 3 1 BA* BG** 0.7340 0.8203 -0.1035 15 83.6418 8.1848 66.9905 0.9984 0.0979 19 9126 3 2 TP* BG** 0.8565 0.5750 0.0000 15 56.6504 11.3103 127.9232 0.9958 0.1997 20 0101 1 3 A5 TS12 0.9228 0.2176 -2.1077 14 9.1198 1.1220 1.2589 0.9998 0.1230 20 0110 1 3 A23 TS53 1.0282 0.3089 -2.0891 15 11.2622 2.2341 4.9913 0.9993 0.1984 20 0203 1 2 B1 BS01 1.1307 0.2483 -1.0144 15 8.7788 1.4964 2.2392 0.9998 0.1705 20 1005 1 1 A1 TS01 0.9171 0.0998 -2.8131 15 11.7648 0.8882 0.7888 0.9998 0.0755 20 1005 1 2 A2 TS03 1.0058 0.2793 -3.0416 15 13.2970 1.2214 1.4917 0.9997 0.0919 20 1006 1 1 BA* BS* 1.0688 0.3618 -2.5638 15 13.5425 2.8128 7.9117 0.9988 0.2077 20 1006 1 2 TP* BS** 0.5343 0.3354 -2.1834 15 6.4991 2.5681 6.5950 0.9963 0.3951 20 1009 1 2 TP* BS** 1.4287 0.2558 -2.7932 15 17.8480 2.7120 7.3549 0.9993 0.1519 20 1009 1 1 BA* BS** 0.5444 0.7363 -1.9292 15 10.6355 2.4440 5.9731 0.9974 0.2298 20 1010 1 1 A1 TS01 0.8326 0.3336 -2.3971 15 9.9990 1.6626 2.7641 0.9993 0.1663 20 1010 1 2 A2 TS03 0.9594 0.3163 -2.9697 15 12.6818 2.0378 4.1528 0.9991 0.1607 20 3013 1 1 A1 TS01 1.1909 0.1432 -1.1052 15 7.6014 0.8713 0.7592 0.9999 0.1146 20 3013 1 2 BA* BS** 1.0051 0.1964 -1.7240 15 9.1026 1.4938 2.2315 0.9997 0.1641 20 3015 1 1 A1 TS01 1.1866 0.1883 -1.1641 15 8.3484 1.1655 1.3584 0.9999 0.1396 20 3015 1 2 BA* BS** 0.9001 0.2254 -1.3863 15 7.3082 0.8490 0.7207 0.9999 0.1162 20 3060 1 1 BA* BS** 1.0383 0.3049 -1.9478 15 10.9510 1.4304 2.0462 0.9997 0.1306 20 3060 1 2 A2 TS03 0.8682 0.2030 -2.7581 15 10.6802 0.8186 0.6701 0.9998 0.0766 20 4016 1 1 BA* BS** 1.3182 0.1903 -0.9351 15 8.4555 1.0999 1.2099 0.9999 0.1301 20 4016 1 2 A2 TS03 0.8293 0.2439 -3.0881 15 10.9427 1.0727 1.1506 0.9996 0.0980 20 4016 2 1 BA* BG** 0.9342 0.5967 0.0000 15 65.9965 4.3712 19.1073 0.9995 0.0662 20 4052 1 1 BA* BS** 0.6744 0.5186 -1.9799 13 9.6190 1.3937 1.9425 0.9994 0.1449 20 4052 1 2 BA* BS** 0.6321 0.6997 -0.7172 15 13.8640 2.4230 5.8709 0.9987 0.1748 20 4053 1 1 BA* BS** 0.8396 0.4462 -3.5158 15 12.6201 3.0494 9.2991 0.9971 0.2416 20 4053 1 2 A2 TS03 0.8677 0.2452 -5.5103 15 14.7351 2.5128 6.3142 0.9969 0.1705 20 4054 1 1 A1 TS01 1.0542 0.1421 -1.7260 15 9.2772 0.8409 0.7071 0.9999 0.0906 20 4054 1 2 BA* BS** 0.9615 0.2514 -0.9968 15 7.5498 1.5755 2.4823 0.9997 0.2087 20 4063 1 1 A1 TS02 0.6180 0.3951 -4.0257 15 9.5802 2.1407 4.5824 0.9969 0.2234 20 4063 1 2 BA* BS** 0.8238 0.6084 -2.3082 15 13.1022 2.1113 4.4577 0.9990 0.1611 20 4067 1 1 BA* BS** 0.5004 0.1924 -5.4471 15 8.3854 0.8444 0.7131 0.9989 0.1007 20 4067 1 2 A2 TS04 1.4136 0.1418 -1.2489 15 9.9226 1.7860 3.1896 0.9998 0.1800 20 4067 3 1 BA* BG** 0.5290 0.8166 -0.2554 13 47.7971 3.0617 9.3741 0.9995 0.0641 20 4067 3 2 TP* BG** 0.7695 0.6528 -0.0573 14 56.2055 2.8450 8.0940 0.9997 0.0506 20 6026 1 1 A1 TS01 1.3415 0.1781 -1.0188 15 8.7244 1.9034 3.6229 0.9998 0.2182 20 6026 1 2 A2 TS04 1.4843 0.2690 -0.5641 15 12.1988 1.9063 3.6340 0.9998 0.1563 20 7073 1 1 BA* BS** 0.7014 0.6221 -0.6926 15 13.5394 1.8848 3.5526 0.9993 0.1392 20 7073 1 2 BA* BS** 0.6359 0.7141 -0.7743 15 14.1462 1.2418 1.5421 0.9997 0.0878 20 7073 2 2 BA* BG** 1.0509 0.4321 0.0000 15 45.7356 4.2702 18.2344 0.9994 0.0934 20 7073 2 1 BA* BG** 0.6247 0.7330 -0.2781 15 51.2025 2.2313 4.9787 0.9997 0.0436 20 7085 1 1 A1 TS01 0.6522 0.2634 -3.6317 15 9.2618 0.8985 0.8073 0.9995 0.0970 20 7085 1 2 A2 TS03 1.0001 0.1866 -2.0313 15 9.9657 0.8299 0.6887 0.9999 0.0833 20 7085 2 2 BA* BG** 0.9166 0.6488 -0.2080 15 62.9350 5.1951 26.9889 0.9992 0.0825 20 7085 2 1 BA* BG** 1.1409 0.5790 -0.4235 15 54.8568 7.9566 63.3077 0.9983 0.1450 20 9037 1 1 A1 TS02 0.6495 0.4006 -3.3312 15 9.2880 1.9667 3.8678 0.9980 0.2117 20 9037 1 2 A2 TS03 0.8944 0.4029 -3.3992 15 12.8256 2.0650 4.2644 0.9988 0.1610 20 9037 2 1 BA* BG** 0.7377 0.7179 0.0000 15 70.8941 5.5094 30.3536 0.9991 0.0777 20 9037 2 2 BA* BG** 1.5178 0.3971 0.0000 15 58.9320 4.4759 20.0333 0.9997 0.0759 21 1010 1 1 BA* BS** 1.3140 0.3828 -1.5136 14 14.3787 1.6804 2.8238 0.9998 0.1169 21 1010 1 2 TP* BS** 1.5693 0.2436 -1.3492 15 13.1105 1.7836 3.1812 0.9998 0.1360 21 1010 2 1 BA* BG** 0.9395 0.7345 0.0000 15 93.9695 6.0900 37.0880 0.9994 0.0648 21 1010 2 2 TP* BG** 1.0459 0.6707 0.0000 15 89.6545 10.0747 101.5000 0.9983 0.1124 21 1034 1 1 BA* BS** 1.2691 0.1488 -1.4909 15 10.5483 2.9698 8.8194 0.9992 0.2815 21 1034 1 2 TP* BS** 1.5143 0.2963 -0.8791 15 13.4625 2.5721 6.6158 0.9997 0.1911 21 3016 1 1 BA* BS** 1.2755 0.3655 -3.9170 15 19.1833 1.5922 2.5350 0.9996 0.0830 21 3016 1 2 BA* BS** 1.4503 0.2515 -2.0894 15 15.4633 2.7497 7.5611 0.9994 0.1778 21 3016 3 1 BA* BG** 1.2765 0.6587 -0.2201 14 85.0612 5.2495 27.5576 0.9996 0.0617 21 4025 2 1 BA* BG** 1.8262 0.5918 -0.8477 14 68.0482 21.4827 461.5070 0.9933 0.3157 21 4025 2 2 BA* BG** 1.0295 0.5355 0.0000 15 61.0209 10.5917 112.1837 0.9972 0.1736 21 6040 1 1 BA* BS** 1.8454 0.1822 0.0000 15 17.9828 13.0745 170.9435 0.9957 0.7271 21 6040 1 2 TP* BS** 1.7626 0.3400 -0.1478 12 21.5062 3.0622 9.3770 0.9997 0.1424 21 6040 2 1 BA* BG** 0.7885 0.7352 -0.0396 15 76.3275 5.6096 31.4680 0.9992 0.0735 21 6040 2 2 TP* BG** 0.9805 0.6050 0.0000 15 70.4505 6.2345 38.8694 0.9991 0.0885 21 6043 1 2 TP1 BS** 1.1778 0.2814 -1.5852 15 11.1283 2.1033 4.4240 0.9996 0.1890 21 6043 2 1 BA* BG** 0.8953 0.7648 0.0000 15 95.9820 6.9636 48.4916 0.9991 0.0726 21 6043 2 2 TP* BG** 0.7641 0.7552 -0.0122 15 78.9523 7.0479 49.6732 0.9987 0.0893 22 0113 1 1 B6 BS06 1.0059 0.1915 0.0000 15 9.4617 6.2752 39.3779 0.9966 0.6632 22 0113 3 2 B12 BG12 0.7163 0.2062 -0.6477 15 4.8137 1.7752 3.1514 0.9994 0.3688 22 0117 1 2 B5 BS05 0.7686 0.1458 0.0000 15 4.8028 2.5121 6.3109 0.9991 0.5231 22 0118 1 2 B4 BS04 0.8679 0.1866 0.0000 15 7.4066 4.4189 19.5269 0.9978 0.5966 22 0118 2 1 B10 BG10 0.6805 0.3283 -1.0674 15 6.6490 1.6997 2.8890 0.9993 0.2556 22 0119 1 2 B1 BS01 0.6042 0.2110 -0.2100 15 4.4753 1.6793 2.8201 0.9993 0.3752 22 0119 2 1 B7 BG07 0.4108 0.5374 -0.7097 15 6.8020 1.1648 1.3567 0.9992 0.1712 22 0121 1 2 B2 BS02 0.4437 0.4391 -0.4960 15 6.3456 1.7877 3.1957 0.9985 0.2817 22 0124 1 1 B3 BS03 0.8404 0.1335 0.0000 15 5.1390 3.0860 9.5235 0.9988 0.6005 22 4001 1 1 BA* BS** 1.4944 0.8507 -2.3484 15 32.2921 11.1757 124.8952 0.9923 0.3461 22 4001 1 2 BA* BS** 1.3809 0.3573 -0.5343 15 15.8033 4.5453 20.6596 0.9990 0.2876 22 4001 2 1 BA* BG** 0.6173 0.6772 -0.3508 15 41.1482 6.8960 47.5550 0.9969 0.1676 23 0506 1 2 TP1 BS55 0.5087 0.5699 -0.0732 15 10.6158 1.2952 1.6776 0.9995 0.1220 23 0506 2 2 TP1 BG56 0.4848 0.5852 -0.0566 15 31.7366 1.3996 1.9590 0.9998 0.0441 23 1012 1 1 BA* BS** 0.6022 0.5781 0.0000 15 13.3442 2.7335 7.4722 0.9985 0.2048 23 1012 1 2 TP BS55 0.6974 0.6371 -1.5406 15 12.6867 4.1763 17.4412 0.9958 0.3292 23 1012 2 1 BA* BG** 0.5464 0.7491 -0.2655 14 48.4540 3.9740 15.7924 0.9990 0.0820 23 1026 1 2 TP BS55 0.8330 0.6087 -0.9905 15 14.8574 1.8059 3.2613 0.9995 0.1215 23 3013 1 2 BA* BS** 0.6755 0.6278 -0.4215 15 14.2368 1.9750 3.9005 0.9993 0.1387 23 3013 2 1 BA* BG** 0.6736 0.6746 -0.1825 15 51.0720 3.2040 10.2659 0.9995 0.0627 23 3014 1 1 BA* BS** 0.7205 0.7498 -0.9058 15 16.4056 2.2938 5.2613 0.9991 0.1398 23 7023 1 1 BA** BS** 0.6913 0.6144 0.0000 14 16.4290 3.1704 10.0515 0.9985 0.1930 23 7023 1 2 BA* BS** 0.7092 0.6402 0.0000 15 17.3940 4.0928 16.7511 0.9976 0.2353 24 1632 2 1 BA* BG** 0.5811 0.6991 -0.0579 15 52.1860 2.9777 8.8666 0.9995 0.0571 24 1632 2 2 TP BG55 0.7274 0.6283 -0.2507 15 46.4612 4.1235 17.0034 0.9992 0.0888 24 1634 1 2 TP BS55 0.8622 0.6097 -0.6792 15 16.6796 3.7889 14.3557 0.9982 0.2272 24 1634 2 1 BA1 BG03 1.2617 0.5666 -0.4912 15 55.4963 11.5692 133.8464 0.9969 0.2085 24 2401 3 1 BA2 BG02 1.1044 0.4425 -0.0430 15 48.3967 11.6601 135.9578 0.9961 0.2409 24 2401 3 2 TP BG55 1.3128 0.5367 -0.4288 15 55.4645 13.6206 185.5200 0.9959 0.2456 24 2805 2 1 BA* BG** 0.8228 0.5139 -0.1333 15 41.6713 3.4960 12.2221 0.9994 0.0839 24 5807 2 1 BA* BG** 0.8824 0.5890 -0.2614 15 49.5448 7.9898 63.8367 0.9976 0.1613 24 5807 2 2 BA5 BG05 0.8888 0.5661 -0.0848 15 54.0839 8.5424 72.9731 0.9976 0.1579 25 1002 1 2 TP BS55 0.7155 0.6381 -0.8656 15 14.1209 3.4568 11.9492 0.9978 0.2448 25 1004 1 1 BA3 BS03 0.6026 0.6496 0.0000 14 15.8268 4.9782 24.7828 0.9953 0.3145 26 0120 1 2 B1 BS01 1.4818 0.3113 -2.9054 13 18.9804 1.3988 1.9567 0.9998 0.0737 26 0121 2 1 B9 BG01 1.0702 0.7188 -0.0101 14 94.1332 18.6328 347.1815 0.9945 0.1979 26 0122 1 1 B4 BS04 1.4366 0.2674 -1.4395 15 12.6822 1.5319 2.3466 0.9998 0.1208 26 0218 1 2 B6 BS06 1.4717 0.2640 -1.5980 15 13.6706 2.1813 4.7582 0.9997 0.1596 26 0219 1 1 B7 BS07 1.3374 0.3864 -2.0730 13 16.3868 1.8866 3.5591 0.9997 0.1151 26 0219 2 2 B14 BG14 1.4301 0.3172 -2.8978 15 18.5673 1.8217 3.3184 0.9997 0.0981 26 0220 1 1 B3 BS03 1.3238 0.2598 -3.4381 14 18.7605 1.3376 1.7890 0.9998 0.0713 26 0222 1 2 B5 BS05 1.0187 0.4008 -4.7503 14 16.9487 2.5285 6.3933 0.9981 0.1492 26 0224 1 2 B2 BS02 1.1615 0.2411 -3.9661 15 17.3543 1.8745 3.5138 0.9993 0.1080 26 0224 2 2 B9 BG09 1.4414 0.3682 -2.1885 14 14.3291 0.8665 0.7509 0.9999 0.0605 26 1001 1 1 BA* BS** 0.7635 0.6178 -0.6505 15 15.6683 5.5531 30.8369 0.9952 0.3544 26 1001 2 1 BA* BG** 1.2137 0.5162 0.0000 15 68.2490 8.0786 65.2642 0.9988 0.1184 26 1001 2 2 TP* BG** 0.9975 0.6751 -0.0387 15 84.1689 3.2104 10.3066 0.9998 0.0381 26 1004 1 1 BA* BS** 0.9051 0.6812 -1.0068 14 18.9593 4.0895 16.7237 0.9980 0.2157 26 1004 1 2 TP* BS** 0.8749 0.6533 -0.9488 15 18.2227 6.8059 46.3206 0.9941 0.3735 26 1004 2 2 TP* BG** 0.6441 0.7193 -0.0274 15 61.1261 3.4596 11.9692 0.9995 0.0566 26 1010 1 1 BA* BS** 0.2186 0.7104 0.0000 15 7.3937 4.4017 19.3749 0.9726 0.5953 26 1010 1 2 TP* BS** 0.2849 0.1893 -0.9044 15 4.5930 4.2497 18.0598 0.9752 0.9253 26 1010 2 1 BA* BG** 0.6960 0.6713 -0.1122 15 54.7890 2.8313 8.0163 0.9997 0.0517 26 1010 2 2 TP* BG** 0.5464 0.8224 -0.4050 13 46.1708 2.4887 6.1938 0.9996 0.0539 26 1010 3 1 BA* BG** 1.0904 0.5005 0.0000 15 58.7963 5.2456 27.5165 0.9993 0.0892 26 1010 3 2 TP* BG** 0.8491 0.7005 0.0000 15 78.0328 5.7623 33.2042 0.9992 0.0738 26 1012 1 1 BA* BS** 0.7369 0.7053 -0.7929 15 16.5840 4.7026 22.1141 0.9963 0.2836 26 1012 1 2 A2 TS04 1.2862 0.1626 -1.5326 15 10.3473 0.7875 0.6201 0.9999 0.0761 26 1012 2 1 BA* BG** 0.7927 0.5511 -0.1813 15 42.9293 6.8693 47.1871 0.9978 0.1600 26 1012 2 2 TP* BG** 0.6790 0.8114 -0.4863 15 57.6894 6.7627 45.7343 0.9981 0.1172 26 1012 3 2 TP* BG** 0.8505 0.6235 -0.2292 15 54.2979 6.9024 47.6425 0.9983 0.1271 26 1013 1 1 BA* BS** 0.7225 0.7486 -0.6051 15 17.5857 1.6345 2.6716 0.9996 0.0929 26 1013 2 1 BA* BG** 0.5853 0.7240 -0.1627 15 50.5296 5.9401 35.2853 0.9981 0.1176 26 1013 2 2 TP* BG** 0.6525 0.6243 -0.0706 15 46.6640 5.2572 27.6385 0.9986 0.1127 26 1013 3 1 BA* BG** 0.5752 0.6509 0.0000 15 46.6444 7.1070 50.5094 0.9970 0.1524 26 1013 3 2 TP* BG** 0.6082 0.7773 -0.2590 15 55.6492 4.4721 19.9998 0.9991 0.0804 26 3069 1 1 BA* BS** 0.7556 0.7524 -0.6701 14 18.7552 1.8128 3.2862 0.9995 0.0967 26 3069 1 2 TP* BS** 0.7152 0.7789 -0.7880 13 16.3911 1.1601 1.3459 0.9998 0.0708 26 4015 1 1 BA* BS** 1.2632 0.3423 -3.0715 15 17.2530 3.4649 12.0054 0.9985 0.2008 26 4015 1 2 TP* BS** 1.0766 0.4109 -3.9369 15 16.3745 1.6421 2.6964 0.9994 0.1003 26 4015 2 1 BA* BG** 0.6861 0.6778 -0.0540 15 57.0374 5.6369 31.7743 0.9987 0.0988 26 4015 2 2 TP* BG** 0.9150 0.5608 -0.0688 15 55.2729 5.8685 34.4389 0.9989 0.1062 26 5363 2 1 BA* BG** 0.9378 0.4957 0.0000 15 49.7299 4.4243 19.5743 0.9993 0.0890 26 5363 2 2 TP* BG** 0.7150 0.6980 -0.0108 15 64.8101 3.5763 12.7899 0.9996 0.0552 26 5363 3 1 BA* BG** 0.8545 0.6235 -0.1165 15 58.9102 8.5503 73.1082 0.9977 0.1451 26 5363 3 2 TP* BG** 0.5204 0.6969 0.0000 15 47.1990 6.1308 37.5861 0.9976 0.1299 26 6016 1 1 BA* BS** 0.6990 0.6532 -0.5370 15 14.8837 2.0780 4.3179 0.9992 0.1396 26 6016 2 2 TP* BG** 1.2267 0.4050 -0.0344 15 47.4821 9.3367 87.1732 0.9978 0.1966 26 6016 2 1 BA* BG** 0.7111 0.7467 -0.3196 15 58.7317 2.7828 7.7439 0.9997 0.0474 26 6016 3 1 BA* BG** 0.6625 0.6839 -0.1188 15 53.2955 7.4471 55.4593 0.9975 0.1397 26 6016 3 2 TP* BG** 0.7712 0.7104 -0.1748 14 59.9572 3.6474 13.3032 0.9995 0.0608 26 7072 1 1 BA* BS** 0.6671 0.8126 -1.0981 14 15.5712 1.8731 3.5084 0.9992 0.1203 26 7072 1 2 TP* BS** 2.3352 0.2824 -0.8111 14 18.2108 1.3008 1.6921 1.0000 0.0714 26 7072 2 1 BA* BG** 0.7257 0.7702 -0.3289 15 62.3880 4.9261 24.2666 0.9991 0.0790 26 7072 2 2 TP* BG** 0.5510 0.8236 -0.0397 15 65.5310 5.3964 29.1217 0.9988 0.0824 26 7072 3 1 BA* BG** 1.3205 0.4923 0.0000 15 69.2262 9.2379 85.3392 0.9985 0.1334 26 7072 3 2 TP* BG** 0.8766 0.7457 0.0000 15 89.4937 7.4010 54.7755 0.9989 0.0827 26 9029 2 1 BA* BG** 0.5808 0.7716 -0.2813 15 51.7133 3.0769 9.4670 0.9995 0.0595 26 9029 3 1 BA* BG** 0.7054 0.6211 0.0000 15 52.7891 6.2922 39.5924 0.9983 0.1192 26 9029 3 2 BA* BG** 0.7859 0.5949 0.0000 15 55.0050 6.3423 40.2248 0.9985 0.1153 27 1016 1 1 BA* BS** 0.7571 0.6718 -0.7353 15 15.7782 1.5184 2.3057 0.9996 0.0962 27 1016 1 2 TP* BS** 0.6648 0.7455 -0.7598 15 15.4873 1.7236 2.9706 0.9994 0.1113 27 1016 2 1 BA* BG** 0.7940 0.6779 0.0000 15 68.8309 5.3381 28.4953 0.9992 0.0776 27 1016 2 2 TP* BG** 0.6633 0.6964 0.0000 15 60.3926 3.9359 15.4914 0.9994 0.0652 27 1018 1 1 BA* BS** 0.7145 0.6922 -0.7367 15 15.3431 1.6328 2.6662 0.9995 0.1064 27 1018 1 2 TP* BS** 0.5661 0.8358 -0.8654 15 14.7254 1.3619 1.8547 0.9995 0.0925 27 1018 2 1 BA* BG** 0.7521 0.6316 -0.2637 15 47.3867 7.7311 59.7703 0.9973 0.1632 27 1018 2 2 TP* BG** 0.4830 0.8376 -0.3472 14 45.5099 4.0817 16.6607 0.9987 0.0897 27 1019 2 1 BA* BG** 0.7410 0.6698 -0.0688 15 60.1734 3.5661 12.7168 0.9995 0.0593 27 1019 2 2 TP* BG** 0.9804 0.5447 0.0000 15 59.7106 7.0383 49.5374 0.9987 0.1179 27 1028 1 1 BA* BS** 0.7300 0.7753 -1.1021 15 16.7724 2.1937 4.8124 0.9991 0.1308 27 1028 1 2 TP* BS** 0.7891 0.8533 -1.4552 15 18.7266 2.1106 4.4548 0.9993 0.1127 27 1029 1 1 BA* BS** 0.7796 0.5804 -1.1021 15 12.9773 2.0276 4.1110 0.9993 0.1562 27 1029 1 2 TP* BS** 0.7419 0.6791 -0.9346 15 15.0403 1.8658 3.4814 0.9994 0.1241 27 1085 1 1 BA* BS** 1.7532 0.2988 -2.2666 15 19.7383 2.2788 5.1930 0.9997 0.1155 27 1085 1 2 A2 TS03 1.5602 0.3192 -1.0676 15 14.9418 3.3932 11.5138 0.9995 0.2271 27 3003 1 1 A1 TS01 1.4477 0.2800 -1.1707 15 12.5463 2.1119 4.4602 0.9997 0.1683 27 3003 1 2 A2 TS03 1.5063 0.2453 -1.3728 15 12.5982 1.2990 1.6875 0.9999 0.1031 27 3003 2 1 BA* BG** 0.8425 0.6046 -0.2097 14 48.8306 4.1211 16.9831 0.9993 0.0844 27 3003 2 2 TP* BG** 0.5108 0.8536 -0.0885 15 63.0153 4.2206 17.8133 0.9992 0.0670 27 3013 1 2 TP* BS** 0.6015 0.7370 -1.1199 12 12.5224 1.0219 1.0442 0.9997 0.0816 27 4033 1 1 C6 BS01 0.5412 0.7300 -1.0006 13 12.1560 1.7003 2.8911 0.9990 0.1399 27 4033 1 2 TP* BS** 0.6682 0.7574 -1.5541 15 13.8753 2.4022 5.7707 0.9985 0.1731 27 4034 1 1 TP* BS** 0.7241 0.6873 -0.7904 15 15.0627 1.7392 3.0247 0.9995 0.1155 27 4034 1 2 TP* BS** 0.6477 0.5919 -0.9236 15 11.6202 2.5074 6.2868 0.9985 0.2158 27 4034 2 1 TP* BG** 0.7621 0.6335 -0.0142 15 58.7706 4.4924 20.1821 0.9993 0.0764 27 4034 2 2 TP* BG** 0.6644 0.7182 -0.0591 15 60.9059 6.7047 44.9524 0.9983 0.1101 27 4037 1 1 C6 BS01 0.8953 0.6661 -1.5409 15 16.1770 2.9636 8.7830 0.9987 0.1832 27 4037 1 2 TP* BS** 0.4114 0.7488 0.0000 15 11.9312 1.6108 2.5947 0.9990 0.1350 27 4037 2 2 TP* BG** 0.9164 0.6053 0.0000 15 66.4647 5.3933 29.0877 0.9992 0.0811 27 4040 1 1 A1 TS01 0.9116 0.1902 -2.5367 15 10.5348 0.8562 0.7330 0.9998 0.0813 27 4040 1 2 A2 TS03 0.8461 0.1965 -3.2454 15 11.3921 1.2857 1.6531 0.9995 0.1129 27 4040 2 1 BA* BG** 0.4578 0.8095 -0.0486 15 52.3923 4.5158 20.3924 0.9987 0.0862 27 4040 2 2 TP* BG** 0.5690 0.7350 -0.0515 15 54.5549 5.2740 27.8148 0.9986 0.0967 27 4054 1 1 BA* BS** 0.6709 0.7337 -0.9679 15 14.7367 1.7097 2.9232 0.9994 0.1160 27 4054 1 2 BA* BS** 0.7898 0.8614 -1.4658 14 17.7177 1.6678 2.7817 0.9996 0.0941 27 4054 2 1 BA* BG** 1.0646 0.5307 0.0000 15 62.4086 6.8673 47.1599 0.9989 0.1100 27 4054 2 2 BA* BG** 0.7552 0.6763 0.0000 15 64.9811 7.9268 62.8338 0.9980 0.1220 27 4055 1 1 BA* BS** 0.8370 0.6106 -1.0765 15 14.8269 2.7212 7.4048 0.9989 0.1835 27 4055 1 2 TP* BS** 0.6854 0.5817 -0.8830 15 11.9929 2.2371 5.0048 0.9989 0.1865 27 4055 2 2 TP* BG** 0.6695 0.7695 -0.2960 15 58.3902 7.7278 59.7194 0.9976 0.1323 27 4082 1 1 A1 TS01 0.9684 0.2068 -2.6811 15 11.5540 1.1560 1.3364 0.9997 0.1001 27 4082 1 2 TP* BS** 0.3577 0.9497 -1.4417 14 10.0952 5.0992 26.0017 0.9814 0.5051 27 5076 1 1 BA* BS** 1.1417 0.3884 -2.1105 15 13.7096 2.4614 6.0586 0.9993 0.1795 27 5076 1 2 BA* BS** 1.3797 0.2945 -1.8713 15 14.0601 1.3203 1.7431 0.9999 0.0939 27 5076 2 1 BA* BG** 0.7697 0.5864 -0.0996 15 48.7001 6.3801 40.7062 0.9983 0.1310 27 5076 2 2 BA* BG** 0.3297 0.9073 -0.1510 15 43.6744 4.0163 16.1309 0.9984 0.0920 27 6251 1 1 BA* BS** 0.7261 0.6619 -0.8628 15 14.4888 1.7593 3.0952 0.9994 0.1214 27 6251 1 2 TP* BS** 0.6138 0.8872 -1.7640 15 14.5455 1.8369 3.3740 0.9990 0.1263 27 6251 2 2 TP* BG** 0.7751 0.6919 0.0000 15 70.1171 4.1232 17.0004 0.9995 0.0588 27 6300 1 1 A1 TS01 1.1684 0.2273 -3.1249 15 15.4081 1.7242 2.9730 0.9995 0.1119 27 6300 1 2 TP* BS** 1.4667 0.3651 -2.4260 15 17.8144 2.3072 5.3234 0.9996 0.1295 27 7090 1 1 BA* BS** 0.6077 0.3404 -3.8486 15 9.0333 1.6799 2.8222 0.9981 0.1860 27 7090 2 1 BA* BG** 0.6938 0.5582 -0.0688 15 41.7675 5.5503 30.8056 0.9983 0.1329 27 7090 2 2 TP* BG** 0.7152 0.6393 -0.2359 15 47.8012 4.7170 22.2499 0.9989 0.0987 27 7090 3 1 BA* BG** 0.6122 0.6561 -0.5419 14 31.8438 4.4535 19.8337 0.9985 0.1399 27 7090 3 2 TP* BG** 0.4889 0.7558 -0.3140 15 40.9719 7.1768 51.5069 0.9958 0.1752 27 9075 1 1 BA* BS** 0.8421 0.2536 -0.8485 15 6.3636 0.7034 0.4947 0.9999 0.1105 27 9075 1 2 BA* BS** 1.1881 0.2096 -1.2414 15 8.8678 0.6159 0.3793 1.0000 0.0695 28 0501 1 1 A1 TS01 0.4296 0.7504 -0.4600 15 10.9965 1.7604 3.0991 0.9987 0.1601 28 0501 1 2 A2 TS04 0.2136 0.4305 -1.7715 15 2.9488 1.3894 1.9306 0.9943 0.4712 28 0503 1 1 A7 TS01 0.5346 0.5908 0.0000 15 12.8612 4.6447 21.5732 0.9945 0.3611 28 0504 1 2 BA* BS** 1.3927 0.1484 -1.3025 15 10.1278 2.0865 4.3534 0.9997 0.2060 28 0506 1 1 A5 TS01 0.5916 0.5060 -1.2199 15 8.4808 2.1701 4.7095 0.9985 0.2559 28 0507 1 1 A3 TS01 1.1560 0.6145 -0.7763 15 21.9812 6.6461 44.1702 0.9969 0.3024 28 0508 1 1 A8 TS01 0.6763 0.5245 -3.0140 15 10.1980 2.5687 6.5980 0.9973 0.2519 28 0508 1 2 A9 TS03 0.6411 0.1921 -0.2812 15 4.7929 2.7593 7.6139 0.9983 0.5757 28 0509 1 1 A6 TS01 0.9214 0.3365 -4.0909 15 13.5794 2.9234 8.5465 0.9975 0.2153 28 1001 1 1 A1 TS01 0.4830 0.4098 -4.9710 15 7.4909 1.7125 2.9327 0.9961 0.2286 28 1001 1 2 A2 TS03 0.6843 0.0033 -3.7063 15 10.3694 2.0291 4.1173 0.9977 0.1957 28 1001 2 1 BA* BG** 1.2394 0.4378 -0.3516 15 40.4610 11.0430 121.9489 0.9964 0.2729 28 1001 2 2 BA4 BG** 0.6769 0.7374 -0.2764 15 55.9691 4.4790 20.0615 0.9991 0.0800 28 1016 1 1 A1 TS01 0.5635 0.8344 -1.4185 15 15.1789 5.8728 34.4901 0.9887 0.3869 28 1016 1 2 A2 TS03 0.9632 0.4011 -1.9807 15 14.5104 8.4931 72.1324 0.9887 0.5853 28 1016 2 1 BA* BG** 0.7199 0.6171 -0.1429 15 48.1306 4.3071 18.5509 0.9991 0.0895 28 1016 2 2 TP1 BG55 0.7488 0.5864 -0.1679 15 45.5534 2.7471 7.5464 0.9996 0.0603 28 1802 1 1 BA* BS** 0.8968 0.3915 -0.4663 15 11.5882 3.4637 11.9969 0.9986 0.2989 28 1802 1 2 A2 TS03 0.7525 0.3040 -0.0600 15 9.2941 4.4133 19.4774 0.9971 0.4749 28 1802 2 1 BA* BG** 1.2030 0.4672 -0.1977 15 49.0857 7.2767 52.9502 0.9986 0.1482 28 1802 2 2 TP1 BG55 0.9001 0.6394 -0.1210 15 65.0943 6.6476 44.1907 0.9988 0.1021 28 2807 1 1 A1 TS01 0.3856 0.6519 -3.2137 15 6.5407 1.7095 2.9225 0.9964 0.2614 28 2807 1 2 A2 TS03 0.9370 0.2147 -2.8659 15 11.2559 1.9621 3.8497 0.9992 0.1743 28 3018 1 1 A1 TS01 0.7536 0.4199 -1.3997 15 9.0963 2.0228 4.0918 0.9991 0.2224 28 3018 1 2 A2 TS03 0.9323 0.2198 -1.7576 15 9.8522 4.9390 24.3937 0.9959 0.5013 28 3081 1 1 A1 TS01 0.7610 0.1258 -1.0848 15 7.3569 5.7537 33.1050 0.9931 0.7821 28 3081 1 2 A2 TS03 0.7022 0.5815 -1.3703 15 11.4155 1.8482 3.4158 0.9992 0.1619 28 3082 1 1 A1 TS01 0.9479 0.5542 0.0000 15 19.7653 2.3317 5.4368 0.9995 0.1180 28 3082 1 2 A2 TS03 0.8337 0.4984 0.0000 15 16.2211 5.4201 29.3771 0.9967 0.3341 28 3083 1 1 A1 TS01 0.6474 0.4511 0.0000 15 11.0247 2.2784 5.1912 0.9990 0.2067 28 3083 1 2 A2 TS03 0.6062 0.5550 -0.1346 15 12.3327 1.5799 2.4960 0.9995 0.1281 28 3085 1 1 BA* BS** 1.4489 0.2148 -0.9126 15 10.5546 3.7374 13.9683 0.9992 0.3541 28 3087 1 1 BA3 BS03 0.8903 0.6372 -0.8657 14 17.5893 2.3582 5.5609 0.9993 0.1341 28 3087 1 2 BA* BS** 0.7258 0.3482 0.0000 13 10.4311 2.9281 8.5736 0.9987 0.2807 28 3089 1 1 A1 TS01 0.7743 0.4456 -2.3509 15 10.3427 2.4650 6.0764 0.9984 0.2383 28 3089 1 2 A2 TS03 0.7370 0.3363 -0.9617 15 8.6839 4.9681 24.6817 0.9950 0.5721 28 3090 1 1 A1 TS01 0.6065 0.2834 -1.8594 15 8.2271 5.3669 28.8039 0.9885 0.6523 28 3090 1 2 A2 TS02 0.7514 0.4839 -2.0114 15 10.2794 2.3089 5.3308 0.9986 0.2246 28 3090 2 1 BA* BG** 0.9484 0.5388 0.0000 15 58.3285 9.8922 97.8550 0.9972 0.1696 28 3090 2 2 BA* BG** 1.2587 0.6058 -0.4254 15 65.0352 10.5074 110.4063 0.9978 0.1616 28 3090 3 1 BA* BG** 0.7073 0.9193 -0.0673 15 106.5282 7.6451 58.4479 0.9989 0.0718 28 3090 3 2 BA* BG** 0.8222 0.6158 0.0000 15 81.5996 56.1786 3156.0310 0.9075 0.6885 28 3091 1 1 A1 TS01 0.9539 0.4315 -0.7337 15 13.7137 6.0720 36.8695 0.9960 0.4428 28 3091 1 2 A2 TS03 0.6823 0.4351 0.0000 14 11.8952 2.9579 8.7491 0.9985 0.2487 28 3093 1 1 BS* BS** 0.7523 0.5735 -0.4220 15 14.3968 1.9019 3.6171 0.9995 0.1321 28 3093 1 2 BA* BS** 0.8434 0.3937 -0.8469 15 10.2153 3.1608 9.9909 0.9985 0.3094 28 3094 1 1 A1 TS01 1.5502 0.6160 -4.2283 15 27.2839 9.6517 93.1548 0.9905 0.3538 28 3094 1 2 A2 TS02 0.7404 0.4200 0.0000 15 12.8719 5.7306 32.8400 0.9953 0.4452 28 3097 1 1 A1 TS01 0.5048 0.0000 -0.0175 15 9.3960 9.3958 88.2817 0.9693 1.0000 28 3097 1 2 A2 TS03 0.5593 0.6087 -3.1221 15 9.0685 1.9423 3.7724 0.9978 0.2142 28 3097 3 1 BA* BG** 0.9806 0.7369 -0.2088 15 86.7918 8.8876 78.9887 0.9985 0.1024 28 3097 3 2 BA* BG** 0.9068 0.7638 -0.1300 15 91.3346 7.5634 57.2049 0.9989 0.0828 28 3099 1 1 A1 TS01 0.5174 0.1286 -0.4072 15 3.9182 3.2914 10.8335 0.9960 0.8400 28 3099 1 2 A2 TS03 0.5807 0.2052 -2.6455 15 7.3937 3.0364 9.2196 0.9949 0.4107 28 4024 1 1 BA* BS** 0.7762 0.1760 0.0000 15 9.6051 8.2256 67.6604 0.9904 0.8564 28 4024 1 2 A2 TS03 0.5100 0.3021 -2.2208 15 6.0765 2.2798 5.1975 0.9967 0.3752 28 5006 1 1 A1 TS01 1.0949 0.2238 -2.6408 15 12.9780 3.0408 9.2464 0.9986 0.2343 28 5006 1 2 A2 TS03 0.8565 0.2252 -3.6845 15 11.8816 2.4900 6.2003 0.9980 0.2096 28 5025 1 1 BA* BS** 0.9304 0.4181 -0.5371 15 12.6144 3.1695 10.0460 0.9989 0.2513 28 5025 1 2 BA* BS** 0.9196 0.2927 -0.5659 15 8.9272 3.9180 15.3509 0.9982 0.4389 28 5025 2 1 BA* BG** 1.2468 0.5861 0.0000 15 87.0926 6.7758 45.9121 0.9993 0.0778 28 5025 2 2 BA* BG** 1.1200 0.6862 -0.1840 15 88.7097 9.4346 89.0116 0.9985 0.1064 28 5803 1 2 BA* BS** 0.7222 0.3697 0.0000 15 11.3984 5.4634 29.8484 0.9954 0.4793 28 5805 1 1 BA* BS** 0.6256 0.5485 0.0000 15 13.5636 4.3057 18.5387 0.9965 0.3174 28 5805 1 2 BA* BS** 0.8535 0.2995 -1.7143 15 9.4375 4.0607 16.4892 0.9968 0.4303 28 5805 2 1 BA* BG** 0.7525 0.6732 -0.2135 15 55.6776 3.6392 13.2441 0.9995 0.0654 28 5805 2 2 BA* BG** 0.6319 0.7589 -0.2775 15 55.0203 3.4368 11.8119 0.9995 0.0625 28 7012 1 1 BA2 BS02 0.9665 0.3616 -1.6515 15 10.7051 2.7175 7.3847 0.9989 0.2538 28 7012 1 2 A2 TS03 0.4493 0.4766 0.0000 15 8.6674 3.8543 14.8555 0.9944 0.4447 28 7012 2 1 BA* BG** 0.7754 0.5459 0.0000 15 48.1845 6.9962 48.9466 0.9979 0.1452 28 7012 2 2 BA* BG** 0.6465 0.5989 0.0000 15 46.2632 3.2678 10.6787 0.9994 0.0706 28 7012 3 1 BA* BG** 1.0775 0.6422 -0.1267 15 79.6098 8.1694 66.7398 0.9987 0.1026 28 7012 3 2 BA* BG** 0.6694 0.5714 -0.0622 15 42.1163 5.1458 26.4788 0.9985 0.1222 28 9030 1 1 A1 TS01 0.5855 0.5830 -1.6244 15 9.6100 3.0490 9.2965 0.9966 0.3173 28 9030 1 2 A2 TS03 0.9572 1.0500 -2.5503 15 25.9545 11.6392 135.4719 0.9807 0.4484 29 0603 1 2 TP7 BS07 0.7049 0.4336 -2.0065 15 8.8544 1.9018 3.6168 0.9989 0.2148 29 0605 1 2 TP5 BS05 1.1613 0.1806 -1.9226 15 11.1343 1.4382 2.0683 0.9998 0.1292 29 0607 1 2 TP1 BS01 1.2712 0.1479 -1.2551 15 8.9719 1.7118 2.9304 0.9998 0.1908 29 0608 1 2 TP3 BS03 0.9406 0.1876 -1.5575 15 7.7907 1.0183 1.0369 0.9998 0.1307 29 0608 2 2 TP3 BG03 0.8897 0.4855 0.0000 14 45.7283 16.6274 276.4708 0.9888 0.3636 29 1002 1 1 BA* BS** 2.2555 0.3205 -1.0017 13 19.8262 2.5669 6.5889 0.9998 0.1295 29 1002 2 1 BA* BG** 0.6787 0.7076 0.0000 15 63.1432 7.7860 60.6218 0.9978 0.1233 29 1002 2 2 TP* BG** 0.6757 0.6406 0.0000 15 53.1658 6.9456 48.2409 0.9979 0.1306 29 1005 2 1 BA* BG** 0.8208 0.6707 0.0000 15 69.5521 7.4657 55.7371 0.9985 0.1073 29 1005 2 2 TP* BG** 0.6483 0.8938 -0.0367 15 90.5061 8.1123 65.8088 0.9984 0.0896 29 1008 1 1 A1 TS02 1.2151 0.4634 -3.2285 15 17.8213 2.9713 8.8286 0.9988 0.1667 29 1008 1 2 A2 TS04 1.3415 0.2402 -2.4097 15 15.2300 1.5926 2.5363 0.9998 0.1046 29 1008 2 1 BA* BG** 1.3623 0.4655 0.0000 15 66.4470 16.0703 258.2561 0.9956 0.2419 29 1010 1 1 BA* BS** 2.3257 0.3104 -0.4505 13 24.1425 5.5821 31.1604 0.9994 0.2312 29 1010 2 2 TP* BG** 0.6512 0.7504 0.0000 15 67.2327 7.9067 62.5153 0.9979 0.1176 29 4036 1 1 A1 TS01 1.0374 0.2343 -2.6844 15 12.4835 1.7344 3.0082 0.9995 0.1389 29 4036 1 2 BA* BS** 1.3092 0.2385 -1.1929 15 10.0560 0.7493 0.5614 1.0000 0.0745 29 4036 2 1 BA* BG** 0.8372 0.6580 0.0000 15 69.4966 5.3582 28.7099 0.9992 0.0771 29 4036 2 2 BA* BG** 0.9379 0.6573 -0.1898 15 66.8932 4.0826 16.6680 0.9996 0.0610 29 4069 1 1 BA* BS** 0.7065 0.6609 -0.4527 15 15.5970 3.0304 9.1836 0.9985 0.1943 29 4069 1 2 BA* BS** 0.6859 0.8918 -0.9959 12 18.2657 3.5880 12.8736 0.9977 0.1964 29 4069 2 1 BA* BG** 0.7332 0.6173 -0.2456 15 44.9813 6.5533 42.9457 0.9979 0.1457 29 5000 1 1 A1 TS01 0.9256 0.1323 -2.3526 15 10.3150 0.9680 0.9370 0.9998 0.0938 29 5000 2 1 BA* BG** 0.8774 0.6656 -0.0273 15 72.5356 5.8178 33.8464 0.9992 0.0802 29 5000 2 2 BA* BG** 0.8525 0.7155 0.0000 15 81.5036 5.3840 28.9875 0.9994 0.0661 29 5047 1 1 BA* BS** 0.6935 0.3517 -1.9299 15 7.7724 1.3191 1.7402 0.9995 0.1697 29 5047 1 2 BA* BS** 0.9456 0.3450 -2.4405 15 11.3356 1.0444 1.0907 0.9998 0.0921 29 5058 1 2 BA* BS** 0.7524 0.2320 -2.9214 15 9.4557 0.9426 0.8886 0.9997 0.0997 29 5081 1 2 A2 TS04 1.1171 0.0606 -0.9467 15 6.0906 0.7289 0.5312 0.9999 0.1197 29 5081 1 1 BA* BS** 0.9644 0.1864 -1.9737 15 9.4299 1.2547 1.5743 0.9997 0.1331 29 5091 1 1 A1 TS02 0.7057 0.1451 -3.2496 15 9.6125 1.0902 1.1884 0.9995 0.1134 29 5091 1 2 A2 TS03 0.8396 0.2428 -2.9690 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0.7556 0.5709 1.0000 0.0578 29 7054 1 2 BA* BS** 1.6696 0.2102 -1.3860 15 13.3442 1.5837 2.5081 0.9999 0.1187 29 7054 2 2 BA* BG** 1.0058 0.5377 0.0000 15 60.0267 10.1294 102.6042 0.9973 0.1687 29 7073 1 1 A1 TS01 0.7707 0.3347 -5.1748 15 12.9541 1.3913 1.9359 0.9989 0.1074 29 7073 1 2 A2 TS03 1.1225 0.1654 -2.2798 15 12.1784 1.3835 1.9142 0.9997 0.1136 29 7073 3 2 BA* BG** 1.4402 0.4837 -0.1764 15 63.3902 14.0779 198.1872 0.9966 0.2221 30 1001 1 1 BA* BS** 0.8632 0.1528 -0.9899 15 5.6627 2.2048 4.8611 0.9992 0.3894 30 6004 1 1 BA* BS** 0.6669 0.2432 -2.4667 15 7.7226 1.3104 1.7172 0.9993 0.1697 30 6004 1 2 TP1 BS93 0.8320 0.1334 -1.6088 15 7.1760 1.4691 2.1583 0.9996 0.2047 30 6004 2 2 TP1 BG92 0.5146 0.5290 -0.2255 15 24.9023 4.2754 18.2788 0.9977 0.1717 30 7066 1 1 BA* BS** 0.6669 0.2432 -2.4667 15 7.7226 1.3104 1.7172 0.9993 0.1697 30 7075 1 2 TP1 BS93 0.6023 0.2563 -2.7520 15 7.4514 1.4447 2.0873 0.9989 0.1939 30 7076 2 1 BA* BG** 0.4187 0.6012 -0.4023 15 21.7755 4.3598 19.0076 0.9966 0.2002 30 7076 2 2 TP1 BG93 0.2809 0.8542 -0.3448 15 29.2977 1.4241 2.0281 0.9996 0.0486 30 7088 1 1 BA* BS** 0.7415 0.1513 -1.2324 15 5.4493 1.7719 3.1395 0.9993 0.3252 30 7088 1 2 TP1 BS93 0.9762 0.1447 -0.3559 15 4.9694 2.3714 5.6234 0.9994 0.4772 30 8129 1 1 BA* BS** 1.0897 0.1394 0.0000 15 6.5625 3.5179 12.3759 0.9991 0.5361 31 0113 1 3 A17 TS33 0.9527 0.2803 -1.0314 15 7.9180 0.6568 0.4314 0.9999 0.0830 31 0115 1 3 A8 TS16 0.7421 0.4491 -2.4975 13 10.2100 1.2588 1.5846 0.9995 0.1233 31 0115 1 2 B3 BS03 0.9652 0.3697 -0.8094 15 10.5198 1.2057 1.4537 0.9998 0.1146 31 0116 1 1 B5 BS05 1.0765 0.1833 -0.8971 12 5.8672 0.6441 0.4148 1.0000 0.1098 31 0120 1 3 A11 TS22 0.7922 0.2468 -1.8877 15 7.7078 0.9509 0.9043 0.9998 0.1234 31 0124 1 2 B1 BS01 0.7360 0.3377 -2.7693 14 9.6077 0.7949 0.6319 0.9998 0.0827 31 3018 1 1 BA* BS** 0.6827 0.8523 -1.1184 15 17.2605 2.4041 5.7798 0.9988 0.1393 31 3018 1 2 TP* BS** 0.7840 0.8169 -1.2018 15 18.5336 2.1622 4.6752 0.9993 0.1167 31 3023 1 1 BA* BS** 0.7441 0.7108 -0.9261 15 15.6880 1.7926 3.2133 0.9995 0.1143 31 3023 1 2 TP* BS** 0.6779 0.7220 -0.4899 13 15.1514 1.2281 1.5081 0.9997 0.0811 31 3023 2 2 TP* BG** 0.6834 0.6123 -0.1004 15 46.9521 4.2287 17.8815 0.9991 0.0901 31 3024 1 1 BA* BS** 1.1275 0.3020 -1.5126 15 10.7282 1.6009 2.5629 0.9997 0.1492 31 3024 1 2 TP* BS** 0.6338 0.4853 -2.8514 15 9.1610 2.0618 4.2508 0.9981 0.2251 31 3028 1 1 BA* BS** 1.0009 0.1676 -2.2151 15 10.5388 1.1265 1.2690 0.9998 0.1069 31 3028 1 2 A2 TS03 0.9545 0.1654 -2.4789 15 11.1995 0.7506 0.5634 0.9999 0.0670 31 3033 1 1 BA* BS** 0.9545 0.5284 -1.7917 12 12.3469 0.9881 0.9764 0.9999 0.0800 31 3033 1 2 TP* BS** 0.6171 0.7665 -1.1180 15 13.7834 2.8737 8.2582 0.9979 0.2085 31 4019 1 1 A1 TS01 0.9180 0.1886 -1.7982 15 8.4177 0.7255 0.5263 0.9999 0.0862 31 4019 1 2 A2 TS04 0.5789 0.2259 -3.1061 15 7.5423 0.8853 0.7837 0.9995 0.1174 31 5052 1 1 A1 TS02 1.2649 0.2288 -1.3382 15 10.1099 0.9002 0.8103 0.9999 0.0890 31 5052 1 2 TP1 BS55 0.9413 0.2472 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0.9774 0.9553 0.9997 0.0957 31 7017 2 2 TP* BG** 0.7653 0.5134 -0.1536 15 37.8804 5.5099 30.3590 0.9983 0.1455 31 7040 1 1 A1 TS02 0.6558 0.1907 -2.1733 15 6.7844 0.5449 0.2969 0.9999 0.0803 31 7040 1 2 TP1 BS** 0.6510 0.1307 -1.0998 13 4.0997 0.6884 0.4740 0.9999 0.1679 31 7040 2 1 BA* BG** 0.7887 0.6180 -0.0098 15 58.3264 4.4061 19.4138 0.9993 0.0755 31 7040 2 2 TP* BG** 0.8222 0.5398 -0.0242 15 48.6055 4.3531 18.9496 0.9992 0.0896 31 7050 1 1 BA* BS** 0.6882 0.2449 -2.8732 15 8.6509 1.3074 1.7092 0.9993 0.1511 31 7050 1 2 TP* BS** 0.7362 0.1835 -2.8416 15 9.1298 0.8446 0.7134 0.9997 0.0925 31 7050 2 2 TP* BG** 0.5955 0.6446 -0.2215 15 40.3730 5.9077 34.9003 0.9976 0.1463 32 0101 1 2 B26 BS01 0.5965 0.7717 -1.9526 15 12.0147 2.5560 6.5330 0.9977 0.2127 32 0105 1 2 B31 BS06 0.5774 0.7375 -1.9775 15 11.2470 2.2511 5.0675 0.9980 0.2002 32 0106 1 2 B27 BS02 1.2794 0.2343 -1.5824 15 11.3339 1.7717 3.1388 0.9997 0.1563 32 0109 1 2 B28 BS03 0.7370 0.5980 -2.1861 15 11.8912 3.1952 10.2093 0.9972 0.2687 32 0111 1 2 B30 BS05 1.2431 0.2367 -1.4671 15 10.5573 1.3104 1.7171 0.9999 0.1241 32 1020 1 1 BA* BS** 0.5320 0.6989 -0.6981 15 11.7400 1.3112 1.7191 0.9995 0.1117 32 1020 1 2 TP1 BS92 0.6278 0.6056 -1.2972 15 10.7296 2.3186 5.3759 0.9985 0.2161 32 1021 1 1 BA* BS** 0.8756 0.1361 -0.3087 15 4.2404 2.0614 4.2493 0.9995 0.4861 32 1021 1 2 TP1 BS93 0.4802 0.3284 -2.1831 15 5.5222 1.3584 1.8452 0.9987 0.2460 32 1021 2 1 BA* BG** 0.5125 0.5064 -0.3604 15 20.9655 6.0519 36.6260 0.9946 0.2887 32 1030 1 1 BA* BS** 1.1115 0.1956 -0.0890 15 7.9144 2.4045 5.7818 0.9996 0.3038 32 1030 1 2 TP1 BS71 1.0128 0.2753 -0.4842 15 9.0143 2.8766 8.2746 0.9992 0.3191 32 2027 1 1 BA* BS** 0.6036 0.4453 -1.6384 15 7.8090 2.3743 5.6373 0.9980 0.3040 32 2027 1 2 TP1 BS93 0.4681 0.5335 -1.6621 15 7.0495 1.9534 3.8157 0.9978 0.2771 32 3010 1 2 BA* BS** 0.4898 0.3852 -1.1293 15 5.3940 0.8337 0.6951 0.9997 0.1546 32 7084 2 1 BA* BG** 0.6450 0.4418 -0.2098 15 23.9131 4.1919 17.5716 0.9983 0.1753 34 0503 1 2 TP2 BS56 0.7614 0.2402 -0.5386 15 6.0828 2.5897 6.7068 0.9988 0.4258 34 0505 1 2 TP1 BS55 0.5751 0.5115 -0.8372 15 8.9618 2.3731 5.6316 0.9983 0.2648 34 0505 2 2 TP1 BG55 0.9100 0.7671 -0.3020 15 79.3859 4.7504 22.5663 0.9995 0.0598 34 0801 1 2 B1 BS01 0.4990 0.6526 -0.4719 15 11.0871 3.0075 9.0452 0.9970 0.2713 34 0802 1 1 B2 BS02 0.5312 0.5392 -0.1860 15 10.1831 1.8512 3.4268 0.9990 0.1818 34 1011 1 2 TP BS55 0.7084 0.5922 -0.6944 15 13.0464 1.9333 3.7376 0.9993 0.1482 34 1031 1 1 BA* BS** 0.7516 0.6361 -1.0440 15 13.9755 1.9745 3.8986 0.9993 0.1413 34 1031 1 2 TP BS55 0.6511 0.4797 -0.4137 15 10.4845 2.2398 5.0168 0.9990 0.2136 34 1033 1 1 BA* BS** 0.8907 0.2220 -0.3252 13 6.3063 3.3177 11.0073 0.9987 0.5261 34 1033 1 2 TP BS55 1.0464 0.2820 -1.2799 15 10.7814 5.5022 30.2746 0.9965 0.5103 34 4042 2 1 BA* BG** 0.6578 0.6752 -0.1177 15 52.5478 4.1776 17.4526 0.9992 0.0795 35 0101 1 2 B1 BS01 0.8437 0.1740 0.0000 15 7.9791 5.8879 34.6669 0.9958 0.7379 35 0102 1 3 A2 TS03 0.5317 0.2421 0.0000 15 4.9971 1.7731 3.1439 0.9991 0.3548 35 0103 1 2 B2 BS02 0.7778 0.3042 0.0000 15 5.6753 3.8139 14.5455 0.9975 0.6720 35 0105 1 2 B3 BS03 0.7277 0.1732 0.0000 15 6.5538 4.6474 21.5980 0.9965 0.7091 35 0106 1 3 A9 TS17 0.3991 0.2297 -1.2502 15 3.2704 1.0192 1.0388 0.9992 0.3116 35 0107 1 2 B4 BS04 0.6822 0.2334 0.0000 15 6.3042 2.3610 5.5744 0.9990 0.3745 35 0108 1 3 A11 TS21 0.4910 0.1442 -1.0136 15 3.0907 0.9621 0.9256 0.9995 0.3113 35 0109 1 2 B5 BS05 0.6704 0.1364 0.0000 15 3.7696 1.7358 3.0130 0.9994 0.4605 35 0110 1 3 A14 TS27 0.7783 0.3229 0.0000 15 10.1957 4.3493 18.9161 0.9974 0.4266 35 0111 1 2 B6 BS06 0.6016 0.3769 -0.6062 15 7.0933 1.8948 3.5904 0.9990 0.2671 35 0112 1 3 A17 TS33 0.5187 0.2317 -0.7539 15 3.8545 1.3528 1.8300 0.9993 0.3510 35 1002 1 2 TP1 BS55 0.9051 0.4221 -0.8276 15 11.2834 2.2779 5.1888 0.9993 0.2019 35 1002 2 2 TP1 BG55 0.9707 0.6487 -0.0935 15 73.9881 5.9341 35.2135 0.9992 0.0802 35 1003 1 1 BA* BS** 1.2015 0.4417 -0.0646 15 19.8538 3.8564 14.8721 0.9992 0.1942 35 1003 2 1 BA* BG** 0.7762 0.7697 -0.1357 15 78.3228 4.2805 18.3231 0.9995 0.0547 35 1003 2 2 TP1 BG55 1.3095 0.3860 0.0000 15 49.8529 12.8881 166.1037 0.9963 0.2585 35 1005 1 2 TP1 BS55 1.0627 0.2438 -1.0162 15 8.1912 1.7384 3.0222 0.9997 0.2122 35 1005 2 1 BA* BG** 0.7366 0.7375 0.0000 15 75.4685 8.2614 68.2504 0.9981 0.1095 35 1005 2 2 TP1 BG55 0.8802 0.6531 -0.0940 15 67.7448 5.1798 26.8300 0.9993 0.0765 35 1022 1 1 A1 TS01 0.9878 0.4068 -2.2316 15 13.5446 5.9267 35.1262 0.9943 0.4376 35 1022 1 2 A2 TS03 0.8339 0.4387 -1.8656 15 10.4348 2.3617 5.5776 0.9989 0.2263 35 1022 2 1 BA* BG** 0.6392 0.8025 0.0000 15 77.4217 10.4941 110.1256 0.9966 0.1355 35 1022 2 2 TP1 BG55 0.7352 0.7532 0.0000 15 78.5264 5.2192 27.2399 0.9993 0.0665 35 1112 1 1 BA* BS** 0.8417 0.4699 0.0000 15 15.2222 4.4575 19.8690 0.9978 0.2928 35 1112 1 2 TP1 BS55 0.8456 0.5132 -0.1217 15 15.7918 2.8769 8.2768 0.9991 0.1822 35 1112 2 1 BA* BG** 0.9479 0.8044 -0.5377 15 76.7049 4.8738 23.7542 0.9995 0.0635 35 1112 2 2 TP1 BG55 1.0553 0.6409 -0.5854 15 54.3913 12.5249 156.8721 0.9953 0.2303 35 2006 1 1 A1 TS01 0.5038 0.6525 -0.5448 15 10.9666 1.4940 2.2320 0.9992 0.1362 35 2006 1 2 A2 TS03 0.6805 0.6776 -1.4607 15 12.8656 2.5914 6.7151 0.9983 0.2014 35 2006 2 1 BA* BG** 0.5394 0.7011 -0.2255 15 42.2135 3.7086 13.7537 0.9990 0.0879 35 2006 2 2 TP1 BG55 0.5955 0.6705 -0.2082 15 43.6172 3.9785 15.8286 0.9990 0.0912 35 2007 2 1 BA* BS** 0.8077 0.3957 -1.6296 15 9.6288 2.7639 7.6391 0.9984 0.2870 35 2007 2 2 TP1 BS55 0.6662 0.4153 -1.0251 15 8.5245 3.2107 10.3085 0.9974 0.3766 35 2118 1 1 A1 TS01 0.2731 0.1298 0.0000 15 2.5598 2.1970 4.8269 0.9944 0.8583 35 2118 1 2 TP1 BS55 0.5064 0.2923 -0.2238 15 5.5136 2.4358 5.9334 0.9979 0.4418 35 2118 2 1 BA* BG** 0.6992 0.6753 -0.2370 15 51.0614 3.8876 15.1132 0.9993 0.0761 35 2118 2 2 TP1 BG56 0.6065 0.6786 -0.1466 15 47.8181 2.3394 5.4728 0.9997 0.0489 35 2118 3 1 BA* BG** 0.8368 0.6790 0.0000 15 74.9557 5.2642 27.7122 0.9993 0.0702 35 2118 3 2 TP1 BG55 0.9554 0.6672 -0.1183 15 75.1762 4.7487 22.5504 0.9995 0.0632 35 3010 1 1 A1 TS01 0.7204 0.4099 0.0000 15 13.4100 7.8390 61.4499 0.9907 0.5846 35 3010 1 2 A2 TS03 0.6200 0.5703 -1.0452 15 10.6650 3.9780 15.8242 0.9957 0.3730 35 3010 2 1 BA* BG** 0.9575 0.6966 -0.0228 15 87.5216 7.6745 58.8976 0.9989 0.0877 35 3010 2 2 BA* BG** 0.6851 0.7610 0.0000 15 74.5450 12.4774 155.6846 0.9953 0.1674 35 6033 1 1 BA* BS** 0.9073 0.3140 -0.8156 15 9.0543 3.4644 12.0018 0.9984 0.3826 35 6033 1 2 A2 TS03 0.7294 0.8171 -1.3477 15 17.4512 3.7982 14.4267 0.9972 0.2177 35 6033 2 1 BA* BG** 0.6598 0.6857 0.0000 15 59.8510 8.0811 65.3044 0.9974 0.1350 35 6033 2 2 TP1 BG55 0.4777 0.7270 0.0000 15 47.3977 2.8824 8.3081 0.9994 0.0608 35 6035 1 1 A1 TS01 0.7396 0.1481 -2.0998 15 8.3569 3.8169 14.5685 0.9956 0.4567 35 6035 1 2 TP1 BS55 1.0431 0.2668 -1.5392 15 10.0157 3.3195 11.0192 0.9986 0.3314 35 6035 3 1 BA3 BG03 0.8740 0.5158 -0.0205 15 48.6443 4.9770 24.7702 0.9991 0.1023 35 6035 3 2 TP1 BG55 0.3365 0.8375 0.0000 15 43.2443 6.3093 39.8069 0.9960 0.1459 35 6401 1 1 A1 TS01 1.0291 0.5537 -2.8297 15 15.2862 3.4135 11.6521 0.9981 0.2233 35 6401 1 2 A2 TS03 0.8011 0.6618 -1.5567 15 14.1495 0.9985 0.9970 0.9998 0.0706 35 6401 3 1 BA* BG** 0.9800 0.6441 0.0000 15 80.7271 15.9003 252.8196 0.9948 0.1970 35 6401 3 2 TP1 BG** 0.9800 0.6441 0.0000 15 80.7271 15.9003 252.8196 0.9948 0.1970 36 0801 1 2 B1 BS01 0.4623 0.5655 -0.1668 15 9.3412 1.6278 2.6499 0.9990 0.1743 36 0802 1 2 B2 BS02 0.4891 0.6660 -0.6244 15 10.5343 2.4175 5.8445 0.9979 0.2295 36 1008 1 1 BA* BS** 0.8533 0.5917 -1.5578 15 13.8609 3.4739 12.0682 0.9980 0.2506 36 1008 1 2 TP BS55 0.6464 0.4130 -1.2083 15 8.2883 3.4294 11.7609 0.9967 0.4138 36 1011 1 1 BA* BS** 1.2531 0.2721 -1.8965 15 14.2170 6.1444 37.7537 0.9964 0.4322 36 1011 1 2 TP BS55 0.3868 0.0434 -0.5088 14 5.0715 4.9699 24.6996 0.9828 0.9800 36 1644 1 1 BA* BS** 0.7869 0.7098 -1.1339 15 16.3051 2.3951 5.7367 0.9991 0.1469 36 4018 1 1 BA* BS** 1.2293 0.4279 -1.1935 15 15.2980 4.0828 16.6694 0.9987 0.2669 37 0201 1 3 A2 TS02 0.4533 0.3225 -1.3388 15 4.9924 2.3729 5.6306 0.9966 0.4753 37 0206 1 3 A8 TS08 0.5075 0.2494 -2.1239 15 5.5917 1.6271 2.6475 0.9983 0.2910 37 0207 1 3 A11 TS11 0.3071 0.5937 -1.8885 15 4.9981 1.4187 2.0128 0.9971 0.2839 37 0210 1 3 A5 TS05 0.5609 0.2707 -0.9501 15 5.0398 2.1611 4.6702 0.9983 0.4288 37 0212 1 1 B5 BS05 0.7789 0.1193 0.0000 15 4.3337 2.6932 7.2531 0.9989 0.6214 37 0212 1 3 A14 TS14 0.4674 0.2894 -2.4036 15 5.6044 1.7037 2.9026 0.9977 0.3040 37 0801 1 2 B1 BS01 0.7232 0.6717 -0.5640 15 15.8361 2.0406 4.1641 0.9993 0.1289 37 0802 1 2 B2 BS02 0.6942 0.7289 -1.1240 15 15.0513 3.4940 12.2078 0.9975 0.2321 37 1006 1 1 BA2 BS02 0.9164 0.3319 -3.1837 15 12.7709 4.0516 16.4157 0.9960 0.3173 37 1006 1 2 TP BS55 0.8226 0.2487 -2.5525 15 10.6225 4.7713 22.7656 0.9939 0.4492 37 1006 2 1 BA1 BG01 0.9826 0.6171 -0.1741 15 63.9775 9.1950 84.5476 0.9978 0.1437 37 1006 2 2 TP1 BG55 1.0125 0.6169 -0.1279 15 69.1116 4.5007 20.2563 0.9995 0.0651 37 1024 1 2 TP BS55 0.3320 0.2857 -3.2671 14 4.9725 2.5609 6.5584 0.9874 0.5150 37 1024 2 1 BA* BG** 0.7243 0.7045 -0.2415 15 56.4088 7.4521 55.5338 0.9978 0.1321 37 1028 1 2 TP BS55 0.5957 0.5871 0.0000 14 13.8604 2.8360 8.0429 0.9984 0.2046 37 1030 1 2 TP BS55 0.5776 0.5130 0.0000 15 11.7039 4.0470 16.3786 0.9963 0.3458 37 1040 2 1 BA* BG** 0.6688 0.6185 -0.0045 15 50.1581 5.3333 28.4436 0.9987 0.1063 37 1040 2 2 TP BG55 0.8254 0.6915 -0.2682 15 60.5673 8.3977 70.5219 0.9977 0.1387 37 1352 1 2 TP BS55 0.6910 0.0000 0.0000 15 6.2336 6.2335 38.8571 0.9927 1.0000 37 1801 1 2 TP BS55 0.8054 0.2202 -2.9237 15 10.5320 3.3995 11.5569 0.9964 0.3228 37 1803 1 2 TP BS55 0.8492 0.2879 -1.4407 15 9.1823 4.7054 22.1410 0.9960 0.5124 37 1803 2 1 BA* BG** 0.6012 0.6739 0.0000 15 52.1425 12.4341 154.6067 0.9923 0.2385 37 1803 2 2 TP BG55 0.7949 0.7390 -0.4169 15 59.3161 7.6911 59.1527 0.9979 0.1297 37 1817 1 1 BA* BS** 0.9124 0.3333 -3.4651 15 13.2190 4.0068 16.0547 0.9956 0.3031 37 1817 1 2 TP BS55 0.9654 0.1769 -2.5638 15 11.9084 4.0678 16.5471 0.9967 0.3416 37 1992 1 1 BA* BS** 0.8120 0.2192 -0.9444 15 6.5814 3.3311 11.0965 0.9981 0.5061 37 2819 1 1 BA* BS** 0.5632 0.2011 -2.2567 15 6.3456 1.9793 3.9177 0.9979 0.3119 37 2819 1 2 TP BS55 0.7508 0.0614 -1.7706 15 7.5939 3.4340 11.7925 0.9968 0.4522 37 2825 1 2 TP BS55 0.5958 0.1375 -0.2998 15 4.4379 3.6210 13.1116 0.9964 0.8159 37 3008 1 1 BA* BS** 0.6223 0.3402 -2.8894 15 8.7603 3.6009 12.9661 0.9935 0.4110 37 3008 1 2 BA* BS** 0.6704 0.4799 -2.2577 15 9.8624 3.8740 15.0077 0.9948 0.3928 37 3011 1 1 BA* BS** 0.9754 0.2170 -0.4908 15 8.8436 6.0037 36.0446 0.9962 0.6789 37 3011 1 2 TP BS55 1.2689 0.2668 -1.9342 15 13.4837 4.6206 21.3501 0.9980 0.3427 37 3044 2 1 BA* BG** 0.7047 0.5818 -0.3382 15 36.6513 8.7532 76.6182 0.9952 0.2388 37 3044 2 2 BA* BG** 0.8331 0.5646 -0.3174 15 41.5713 7.4481 55.4742 0.9974 0.1792 37 3807 1 1 BA* BS** 0.7188 0.4839 -2.9830 15 11.3129 4.6917 22.0120 0.9919 0.4147 37 3807 1 2 TP BS55 0.7263 0.4405 -3.2208 15 10.9731 3.9086 15.2769 0.9940 0.3562 37 5037 1 1 BA* BS** 0.6293 0.3403 -2.3543 15 9.3646 5.6625 32.0642 0.9865 0.6047 37 5037 1 2 BA* BS** 0.8095 0.1422 -2.6958 15 10.5456 4.1501 17.2232 0.9949 0.3935 37 5827 1 1 BA* BS** 0.6703 0.4708 -2.8276 15 10.0631 3.8618 14.9137 0.9938 0.3838 37 5827 1 2 TP BS55 0.6923 0.2928 -2.4503 15 9.2849 4.4524 19.8240 0.9928 0.4795 38 0219 1 3 A14 TS27 0.7657 0.1591 -1.6992 15 6.5843 0.5169 0.2671 0.9999 0.0785 38 0219 1 3 A14 TS28 0.5685 0.1507 -2.8057 13 6.5594 0.4256 0.1811 0.9999 0.0649 38 0221 1 3 A20 TS40 0.7199 0.1386 -1.8029 13 5.1078 0.5500 0.3025 0.9999 0.1077 38 0221 1 3 A21 TS42 0.7785 0.2271 -2.2288 15 8.2173 0.4454 0.1983 0.9999 0.0542 38 0221 3 3 B13 BG12 1.0296 0.5450 0.0000 14 59.1369 6.0983 37.1893 0.9990 0.1031 38 0223 3 3 B12 BG11 1.0719 0.6569 -0.0664 14 78.4702 4.4137 19.4806 0.9996 0.0562 38 3005 2 1 BA* BG** 0.9006 0.3575 -0.7161 15 16.3261 6.2887 39.5482 0.9964 0.3852 38 3006 1 1 BA* BS** 0.6977 0.6230 -3.1469 15 11.4280 2.4777 6.1392 0.9976 0.2168 38 3006 1 2 TP* BS** 0.6985 0.5303 -2.2198 15 10.0854 1.7994 3.2379 0.9990 0.1784 38 3006 2 1 BA* BG** 0.6527 0.6024 -0.0942 15 43.1805 6.8477 46.8905 0.9973 0.1586 38 3006 2 2 TP* BG** 0.3656 0.8232 -0.0286 15 43.6899 5.1463 26.4848 0.9976 0.1178 39 0101 2 2 B16 BG16 1.3235 0.6547 0.0000 14 101.9413 9.9099 98.2065 0.9988 0.0972 39 0102 2 2 B18 BG18 1.3342 0.6330 0.0000 14 95.7167 5.3768 28.9097 0.9996 0.0562 39 0106 1 2 B2 BS02 1.5063 0.3014 -0.9646 14 12.3440 1.8809 3.5379 0.9998 0.1524 39 0107 1 1 B3 BS03 1.1437 0.2312 -2.5223 15 13.2773 1.6224 2.6320 0.9996 0.1222 39 0108 1 1 B5 BS05 1.0460 0.2559 -1.6620 15 9.7165 1.2973 1.6829 0.9998 0.1335 39 0108 2 2 B19 BG19 0.9477 0.5841 -0.0283 14 58.5248 4.9704 24.7051 0.9993 0.0849 39 0203 2 2 B23 BG23 1.3221 0.5554 -0.0436 14 76.0211 5.9199 35.0458 0.9994 0.0779 39 0204 3 1 B19 BG19 1.2464 0.5372 0.0000 14 70.0611 5.6160 31.5398 0.9994 0.0802 39 0209 2 1 B22 BG22 1.2262 0.6116 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1.2717 1.6172 0.9999 0.0836 39 4031 1 1 BA* BS** 1.8391 0.2655 -2.0338 15 19.1379 1.7028 2.8994 0.9999 0.0890 39 4031 1 2 B* BS** 1.5370 0.3557 -1.6368 14 14.1414 1.3570 1.8416 0.9999 0.0960 39 4031 2 1 BA* BG** 0.9639 0.5048 -0.1818 15 45.3001 10.8097 116.8488 0.9958 0.2386 39 4031 2 2 BA* BG** 0.7575 0.6792 0.0000 15 65.7124 6.2888 39.5489 0.9988 0.0957 39 5003 1 1 BA* BS** 1.2735 0.2940 -3.2631 14 14.7829 1.5177 2.3035 0.9997 0.1027 39 5003 1 2 BA* BG** 1.3413 0.2548 -2.8297 15 16.8755 1.7787 3.1639 0.9997 0.1054 39 5003 2 1 BA* BG** 1.1465 0.4724 0.0000 15 56.8831 8.3130 69.1059 0.9984 0.1461 39 5003 2 2 BA* BG** 0.7158 0.7927 -0.1822 15 72.2603 3.7138 13.7924 0.9996 0.0514 39 5010 1 2 BA* BS** 0.9527 0.4270 -2.8889 15 13.4263 3.7567 14.1131 0.9970 0.2798 39 7021 1 1 BA* BS** 1.0532 0.4167 -4.3618 15 16.5995 1.2925 1.6707 0.9996 0.0779 39 7021 1 2 BA* BS** 1.2614 0.1805 -2.4099 15 14.3301 1.8556 3.4432 0.9996 0.1295 39 7021 2 1 BA* BG** 0.7853 0.5365 0.0000 15 46.8231 6.0738 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0122 1 2 B4 BS04 0.7352 0.2144 -0.0206 15 6.2618 2.5809 6.6610 0.9989 0.4122 40 0123 1 2 B6 BS06 1.0303 0.2341 0.0000 15 13.1087 9.6699 93.5063 0.9926 0.7377 40 0124 1 3 A17 TS33 0.5897 0.0185 -1.1002 15 4.3894 2.0908 4.3715 0.9984 0.4763 40 1015 1 1 A1 TS01 1.0432 0.1972 -1.7187 15 9.2633 1.3513 1.8261 0.9998 0.1459 40 1015 1 2 A2 TS03 0.5881 0.3653 -0.1026 15 8.6658 4.0718 16.5793 0.9960 0.4699 40 1017 1 1 A1 TS01 1.7708 0.4159 -1.3840 15 23.2895 11.2262 126.0274 0.9951 0.4820 40 1017 1 2 A2 TS03 0.7012 0.6516 -1.5159 15 12.5003 2.0748 4.3050 0.9990 0.1660 40 3018 1 1 A1 TS01 0.5833 0.5169 -4.2692 15 9.3121 2.2222 4.9381 0.9963 0.2386 40 3018 1 2 A2 TS03 0.2960 0.0000 -2.1828 15 3.5950 1.9737 3.8954 0.9928 0.5490 40 4086 1 1 A1 TS01 0.5422 0.6520 -4.0088 15 8.9576 2.6429 6.9847 0.9946 0.2950 40 4086 1 2 A2 TS03 0.5464 0.5555 -2.6984 15 8.3427 1.9925 3.9701 0.9978 0.2388 40 4087 1 1 A1 TS01 1.7265 0.2555 -0.6188 15 13.4423 1.6242 2.6379 0.9999 0.1208 40 4087 1 2 BA* BS** 0.5161 0.2697 0.0000 15 16.0911 15.2534 232.6666 0.9319 0.9479 40 4088 1 2 BA* BS** 0.5991 0.2581 -1.9140 15 6.3004 2.2542 5.0814 0.9978 0.3578 40 4155 1 1 A1 TS01 0.7895 0.5631 -3.6829 15 12.2987 2.4675 6.0887 0.9980 0.2006 40 4155 1 2 BA* BS** 0.9793 0.4536 -2.3316 15 13.0311 3.0449 9.2715 0.9985 0.2337 40 4157 1 1 BA* BS** 0.6765 0.5117 -0.6596 15 11.3167 3.7357 13.9554 0.9971 0.3301 40 4157 1 2 BA* BS** 0.6748 0.6605 -1.3037 15 12.5993 2.2571 5.0945 0.9988 0.1791 40 4158 1 1 BA* BS** 0.6912 0.5342 -1.9908 15 10.6815 3.6615 13.4066 0.9961 0.3428 40 4158 1 2 BA* BS** 0.6080 0.3899 -1.3724 15 7.5637 3.3252 11.0572 0.9963 0.4396 40 4160 1 1 A1 TS01 0.5848 0.3835 -5.9611 15 9.3646 3.3566 11.2667 0.9885 0.3584 40 4160 1 2 A2 TS02 1.0501 0.4262 -1.7440 15 13.0136 3.2212 10.3762 0.9987 0.2475 40 4160 2 1 BA* BG** 0.9827 0.3492 -0.0154 15 32.0665 7.2453 52.4938 0.9977 0.2259 40 4160 2 2 BA* BG** 0.9216 0.5836 -0.0393 15 61.3965 9.6157 92.4612 0.9973 0.1566 40 4161 1 1 A1 TS01 0.6876 0.1714 0.0000 15 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BS16 0.9010 0.2600 -1.0831 15 7.3860 1.5785 2.4915 0.9996 0.2137 41 6011 1 1 A1 TS01 0.5741 0.2144 -1.1075 15 4.1952 0.7865 0.6185 0.9998 0.1875 41 6011 1 2 A2 TS03 0.4429 0.2012 -2.0200 15 4.3665 0.6748 0.4554 0.9996 0.1545 41 7018 1 1 BA* BS** 0.6390 0.1580 -2.3917 15 7.1201 0.7665 0.5875 0.9997 0.1076 41 7018 1 2 BA* BS** 0.9140 0.1529 -0.0717 15 5.1195 1.5882 2.5225 0.9997 0.3102 41 7019 1 1 BA* BS** 0.8883 0.1998 0.0000 15 8.9560 6.1635 37.9882 0.9959 0.6882 41 7019 1 2 BA* BS** 1.0430 0.2763 0.0000 15 11.7100 4.9578 24.5801 0.9981 0.4234 41 7025 1 2 A2 TS05 0.7142 0.2945 -4.7190 15 11.2517 2.2405 5.0198 0.9970 0.1991 42 0603 1 2 B5 BS05 0.8429 0.2252 0.0000 15 7.9144 3.8112 14.5250 0.9983 0.4815 42 0608 1 2 BA6 BS06 0.7779 0.2264 -0.5420 15 5.8285 2.4156 5.8350 0.9990 0.4144 42 1597 1 1 BA1 BS01 1.2179 0.2240 -1.3571 15 11.1283 5.2052 27.0944 0.9976 0.4677 42 1597 1 2 TP BS55 0.9290 0.2135 0.0000 15 16.1797 14.4547 208.9396 0.9797 0.8934 42 1598 1 2 BA6 BS06 0.8814 0.2810 0.0000 15 30.5068 29.1444 849.3943 0.9162 0.9553 42 1599 1 1 BA* BS** 1.1976 0.2726 -1.4671 15 11.2610 3.5947 12.9217 0.9988 0.3192 42 1599 1 2 TP BS55 0.8779 0.3119 -1.6200 15 9.2788 3.2764 10.7350 0.9981 0.3531 42 1605 1 1 BA2 BS02 1.1296 0.2423 -2.7411 15 14.5193 4.8309 23.3378 0.9965 0.3327 42 1605 1 2 TP BS55 0.7416 0.1876 -3.6869 14 11.3205 4.9672 24.6734 0.9889 0.4388 42 1606 1 1 BA2 BS02 1.0593 0.0861 -0.1187 15 8.2531 7.7058 59.3792 0.9951 0.9337 42 1606 1 2 BA5 BS04 1.3631 0.2563 0.0000 15 13.9993 5.7341 32.8805 0.9985 0.4096 42 1608 1 1 BA1 BS01 1.1241 0.2083 -0.5573 15 8.1766 4.0561 16.4521 0.9987 0.4961 42 1613 1 1 BA* BS** 0.6696 0.6107 -2.6245 15 11.0678 3.2580 10.6148 0.9961 0.2944 42 1613 1 2 BA* BS** 0.7219 0.4706 -2.2170 14 10.8923 4.4822 20.0902 0.9940 0.4115 42 1613 2 1 BA1 BG01 0.8608 0.7675 -0.4527 15 67.4814 8.4253 70.9859 0.9980 0.1249 42 1614 1 1 BA* BS** 1.1678 0.3567 -1.9054 14 14.4923 5.3291 28.3991 0.9970 0.3677 42 1614 1 2 BA* BS** 1.4264 0.2147 -1.4519 15 12.0917 3.1325 9.8123 0.9993 0.2591 42 1614 2 1 BA* BG** 0.6597 0.6437 -0.2470 15 43.8404 3.1860 10.1506 0.9994 0.0727 42 1617 1 1 BA* BS** 1.7221 0.4466 -2.7154 15 24.0327 4.9292 24.2971 0.9985 0.2051 42 1617 1 2 BA* BS** 1.0380 0.3248 -3.0124 15 14.5857 5.1336 26.3537 0.9950 0.3520 42 1618 1 1 BA* BS** 0.8466 0.0940 0.0000 15 15.7954 15.5357 241.3591 0.9710 0.9836 42 1618 2 1 BA* BG** 0.7340 0.7223 -0.4796 14 51.9994 6.8455 46.8612 0.9979 0.1316 42 1623 1 1 BA* BS** 1.1494 0.3166 -1.3721 15 11.2787 2.9156 8.5008 0.9992 0.2585 42 1623 1 2 BA5 BS05 0.8315 0.4185 -2.4920 15 11.2998 3.8210 14.5999 0.9964 0.3381 42 1627 1 1 BA* BS** 1.1344 0.2458 -0.7043 15 9.5244 4.5863 21.0340 0.9983 0.4815 42 1627 1 2 BA* BS** 1.0536 0.4409 -2.0805 15 14.1108 4.6979 22.0705 0.9970 0.3329 42 1690 1 1 BA* BS** 1.1688 0.2724 0.0000 15 14.9389 9.5433 91.0754 0.9944 0.6388 42 1690 1 2 BA* BS** 0.7380 0.3412 -0.9247 15 7.9361 3.3480 11.2092 0.9977 0.4219 42 3044 1 1 BA1 BS01 1.4695 0.4205 -3.1776 15 21.3035 4.6973 22.0645 0.9979 0.2205 42 5020 1 2 BA5 BS04 0.8639 0.5063 -1.0841 15 12.5725 2.1072 4.4404 0.9994 0.1676 42 7025 1 1 BA* BS** 0.8528 0.4199 -2.2559 15 12.2311 5.5955 31.3100 0.9931 0.4575 42 7025 1 2 BA* BS** 0.8620 0.6210 -2.3223 15 14.6346 5.3154 28.2534 0.9942 0.3632 42 7025 2 2 BA* BG** 1.2372 0.5122 -0.4399 15 47.7571 9.7326 94.7229 0.9975 0.2038 42 7037 1 1 BA* BS** 1.2869 0.2822 -1.3211 15 12.1342 4.1306 17.0618 0.9987 0.3404 42 7037 1 2 BA* BS** 1.0692 0.2131 -0.8617 15 8.6850 4.8633 23.6512 0.9977 0.5600 42 7037 2 1 BA3 BG03 0.8159 0.5241 0.0000 15 47.6005 7.7802 60.5310 0.9975 0.1634 42 7037 2 2 BA5 BG05 1.3511 0.4294 -0.4827 15 38.1261 10.7165 114.8433 0.9967 0.2811 42 9027 1 2 BA* BS** 1.1214 0.1738 -0.7099 15 7.8782 4.8097 23.1334 0.9980 0.6105 45 1008 1 1 A1 TS01 0.9584 0.5623 -2.6292 15 14.5498 2.1731 4.7222 0.9991 0.1494 45 1008 1 2 A2 TS03 0.6119 0.2568 0.0000 15 10.4462 8.7071 75.8142 0.9829 0.8335 45 1008 2 1 BA* BG** 0.5487 0.7521 -0.1001 15 53.7453 3.4792 12.1046 0.9994 0.0647 45 1008 2 2 TP1 BG55 0.8435 0.7367 -0.2961 15 69.2724 4.6863 21.9612 0.9994 0.0677 45 1011 1 1 BA* BS** 0.8791 0.5004 -0.7119 15 13.6214 2.7876 7.7706 0.9990 0.2046 45 1011 1 2 BA* BS** 0.8041 0.4662 -0.4398 15 12.4319 2.7275 7.4393 0.9990 0.2194 45 1011 2 1 BA* BG** 0.8686 0.6486 0.0000 15 74.1676 23.4012 547.6161 0.9862 0.3155 45 1011 2 2 BA* BG** 1.2357 0.5509 0.0000 15 77.7528 15.0246 225.7375 0.9963 0.1932 45 1024 1 1 A1 TS01 0.9860 0.3844 -2.0542 15 12.5254 4.7007 22.0968 0.9966 0.3753 45 1024 1 2 TP1 BS55 1.0778 0.2189 -2.2483 15 12.5007 5.0386 25.3870 0.9963 0.4031 45 1024 2 1 BA* BG** 0.5058 0.7978 -0.0066 15 59.2241 4.5845 21.0178 0.9989 0.0774 45 1024 2 2 TP1 BG55 0.4304 0.8535 -0.0496 15 56.2340 2.7222 7.4102 0.9995 0.0484 45 1025 1 1 A1 TS01 0.6298 0.4025 0.0000 15 9.8305 3.0734 9.4456 0.9981 0.3126 45 1025 1 2 A2 TS03 0.8716 0.4924 -5.2213 15 14.2812 3.3376 11.1398 0.9954 0.2337 45 1025 2 1 BA* BG** 0.6765 0.6035 -0.0609 15 46.7493 2.7040 7.3115 0.9996 0.0578 45 1025 2 2 TP1 BG** 0.8929 0.6805 -0.1293 15 71.4322 4.1134 16.9201 0.9996 0.0576 45 3012 1 1 A1 TS01 0.5775 0.3749 -3.0666 15 8.2779 2.7739 7.6948 0.9953 0.3351 45 3012 1 2 A2 TS03 0.5603 0.4095 -4.3981 15 9.0701 3.0086 9.0518 0.9921 0.3317 45 5017 1 1 A1 TS01 0.8494 0.4346 -0.7402 15 11.7830 3.8878 15.1153 0.9979 0.3300 45 5017 1 2 BA* BS** 0.7194 0.5896 0.0000 14 16.9997 5.2463 27.5236 0.9961 0.3086 45 5034 1 1 A1 TS01 0.9504 0.5001 -1.5595 15 13.9786 5.3898 29.0500 0.9959 0.3856 45 5034 1 2 A2 TS03 0.7599 0.4244 -1.8524 15 9.7174 2.9941 8.9644 0.9978 0.3081 45 5035 1 1 A1 TS01 0.6324 0.7250 -1.3138 15 13.1283 2.5475 6.4899 0.9983 0.1940 45 5035 1 2 A2 TS03 0.8516 0.3949 -0.4930 15 11.6157 4.5648 20.8377 0.9973 0.3930 45 7019 1 1 A1 TS01 0.8309 0.3925 -1.7864 15 10.6064 4.5556 20.7534 0.9958 0.4295 45 7019 1 2 A2 TS03 0.4102 0.6064 -1.0110 15 7.4814 1.8731 3.5086 0.9979 0.2504 46 0804 1 3 A5 TS10 1.0014 0.1792 -0.5826 15 5.6290 1.2340 1.5228 0.9998 0.2192 46 0804 1 3 A6 TS12 1.0125 0.2113 -1.1664 14 7.4543 1.4291 2.0425 0.9998 0.1917 46 3009 1 1 A1 TS02 1.5606 0.2006 -1.1031 15 10.9052 1.2399 1.5373 0.9999 0.1137 46 3009 2 1 BA* BG** 0.8673 0.5690 -0.2010 15 49.3638 16.8450 283.7539 0.9892 0.3412 46 3009 2 2 TP* BG** 0.6031 0.7497 -0.0289 15 60.9481 5.8817 34.5944 0.9986 0.0965 46 3010 1 1 BA* BS** 0.9322 0.3758 -2.7217 15 12.0752 2.3515 5.5293 0.9988 0.1947 46 3010 1 2 TP* BS** 1.0380 0.4275 -3.1172 15 14.6385 2.8377 8.0523 0.9985 0.1938 46 3010 2 1 BA* BG** 0.5338 0.7779 -0.1845 15 51.6920 5.5391 30.6814 0.9983 0.1072 46 3010 2 2 TP* BG** 0.5876 0.6184 -0.0587 15 41.9237 8.9799 80.6390 0.9948 0.2142 46 3012 1 2 TP* BS** 1.2348 0.2422 -2.5427 15 14.5183 1.8950 3.5911 0.9996 0.1305 46 3012 2 2 TP* BG** 0.8957 0.5861 0.0000 15 61.4029 8.3851 70.3101 0.9980 0.1366 46 3013 1 1 BA* BS** 0.8050 0.4527 -2.8605 15 11.3293 2.3970 5.7457 0.9983 0.2116 46 3013 1 2 TP* BS** 0.4566 0.9315 -2.9497 15 10.2363 3.2072 10.2859 0.9923 0.3133 46 3013 2 1 BA* BG** 0.8500 0.5165 0.0000 15 48.3228 9.9216 98.4390 0.9962 0.2053 46 3013 2 2 TP* BG** 0.8512 0.5507 -0.0674 15 50.3168 11.1993 125.4248 0.9954 0.2226 46 3052 1 1 A1 TS01 0.8446 0.1040 -1.6726 15 7.2552 0.3888 0.1512 1.0000 0.0536 46 3052 1 2 A2 TS03 0.9241 0.2112 -1.8830 15 8.9443 1.6171 2.6149 0.9995 0.1808 46 3052 2 1 BA* BG** 0.7146 0.7893 -0.4298 15 59.4961 12.6767 160.6987 0.9939 0.2131 46 3052 2 2 TP* BG** 0.6374 0.8206 -0.3821 15 59.1952 11.2968 127.6171 0.9946 0.1908 46 3053 1 1 TP* BS56 1.7962 0.3681 0.0000 15 25.0367 6.0484 36.5830 0.9991 0.2416 46 3053 1 2 TP* BS55 1.2268 0.4501 -2.1052 14 15.7522 1.4936 2.2308 0.9998 0.0948 46 3053 2 1 TP* BG** 0.8185 0.7113 0.0000 15 77.8152 3.4433 11.8566 0.9997 0.0443 46 3053 2 2 TP* BG55 1.1884 0.5823 -0.2036 14 64.9293 6.3667 40.5343 0.9991 0.0981 46 5020 1 1 BA* BS** 2.7055 0.4640 -0.8565 12 35.1499 3.1575 9.9701 0.9999 0.0898 46 5020 1 2 TP* BS** 1.5206 0.6009 -1.0997 12 23.2240 3.4530 11.9230 0.9995 0.1487 46 5025 1 1 A1 TS01 0.8830 0.1689 -2.5597 15 10.2432 0.6086 0.3704 0.9999 0.0594 46 5025 1 2 A2 TS03 0.5766 0.1952 -1.9920 15 5.6501 0.7813 0.6104 0.9997 0.1383 46 5025 2 1 BA* BG** 0.9986 0.5352 -0.1822 14 48.4778 5.0833 25.8399 0.9991 0.1049 46 5025 2 2 TP* BG** 0.5190 0.7112 -0.1280 15 44.2861 6.6796 44.6170 0.9969 0.1508 46 5040 1 1 A1 TS01 0.7909 0.2828 -3.0264 15 10.2181 0.8014 0.6423 0.9998 0.0784 46 5040 1 2 TP* BS** 0.7266 0.3868 -2.9324 15 9.8406 1.8869 3.5602 0.9987 0.1917 46 5040 2 1 BA* BG** 0.6632 0.6993 0.0000 15 60.6216 5.1603 26.6284 0.9990 0.0851 46 5040 2 2 TP* BG** 0.5935 0.7513 -0.0979 15 57.3438 4.4212 19.5467 0.9991 0.0771 46 5040 3 1 BA* BG** 0.6328 0.7042 0.0000 15 58.7378 3.1279 9.7837 0.9996 0.0533 46 5040 3 2 TP* BG** 0.5499 0.7878 -0.2430 14 48.8398 5.3293 28.4011 0.9983 0.1091 46 6600 1 1 TP1 BS55 1.1863 0.2317 -0.5790 15 8.3740 0.9404 0.8844 0.9999 0.1123 46 6600 1 2 TP2 BS56 1.0023 0.1514 -1.3986 14 7.8296 1.0442 1.0904 0.9999 0.1334 46 7049 1 1 A1 TS01 1.5136 0.1861 -1.2292 15 10.9340 1.3506 1.8242 0.9999 0.1235 46 7049 1 2 TP1 BS** 0.8353 0.1960 -1.7720 15 7.5593 0.7829 0.6129 0.9999 0.1036 46 7049 2 1 BA* BG** 0.5622 0.6946 -0.1306 15 45.9112 8.3765 70.1656 0.9957 0.1825 46 7049 2 2 TP* BG** 0.6955 0.6255 -0.3226 15 41.5335 7.9110 62.5833 0.9964 0.1905 46 9106 1 1 BA* BS** 1.1870 0.2524 -0.6165 15 9.0984 1.9959 3.9837 0.9997 0.2194 46 9106 1 2 A2 TS04 1.0458 0.1937 -1.6813 15 9.1558 0.9413 0.8860 0.9999 0.1028 46 9106 2 2 TP* BG** 0.5238 0.7802 -0.1904 14 51.4747 6.8047 46.3046 0.9974 0.1322 46 9106 2 1 BA* BG** 1.8358 0.3683 -0.5697 15 36.7206 4.5272 20.4955 0.9996 0.1233 46 9197 1 1 BA* BS** 1.4855 0.2598 -0.7724 15 11.5107 1.0718 1.1488 0.9999 0.0931 46 9197 2 1 BA* BG** 0.7879 0.6616 -0.0875 15 61.4780 4.2921 18.4225 0.9994 0.0698 46 9197 2 2 TP* BG** 1.0141 0.5245 -0.1141 15 53.3287 3.6552 13.3603 0.9996 0.0685 46 9197 3 1 BA* BG** 0.9735 0.5689 -0.2246 15 53.2131 5.0722 25.7276 0.9992 0.0953 46 9197 3 2 TP* BG** 0.8925 0.5091 0.0000 15 49.3730 4.7788 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0.1822 55 6351 1 2 BA* BS** 1.2305 0.2870 -2.6085 15 14.8346 1.5503 2.4034 0.9997 0.1045 55 6351 2 1 BA* BG** 0.6835 0.7305 0.0000 15 66.6113 9.1991 84.6238 0.9972 0.1381 55 6351 2 2 BA* BG** 0.9798 0.5101 -0.0698 15 51.2385 9.9352 98.7080 0.9969 0.1939 55 6352 2 1 BA* BG** 0.8347 0.5834 0.0000 15 56.4563 8.2268 67.6804 0.9977 0.1457 55 6352 2 2 BA* BG** 0.9457 0.5664 -0.0925 15 56.7607 8.0662 65.0632 0.9981 0.1421 55 6352 3 2 BA* BG** 1.1559 0.5722 -0.1505 15 67.3348 12.7446 162.4252 0.9967 0.1893 55 6353 2 1 BA* BG** 0.9507 0.5942 0.0000 15 66.3937 5.2340 27.3943 0.9993 0.0788 55 6353 2 2 BA* BG** 1.0573 0.5146 0.0000 15 59.2497 6.9840 48.7768 0.9988 0.1179 55 6353 3 1 BA* BG** 0.8055 0.6693 -0.0362 14 61.0869 7.2402 52.4203 0.9983 0.1185 55 6353 3 2 BA* BG** 1.1817 0.6066 -0.0133 15 84.8340 6.0394 36.4741 0.9994 0.0712 55 6354 2 1 BA* BG** 1.0734 0.4901 -0.1456 15 49.3421 9.0026 81.0461 0.9976 0.1825 55 6354 2 2 BA* BG** 0.7629 0.7229 -0.0283 15 72.0614 6.5750 43.2305 0.9988 0.0912 55 6354 3 1 BA* BG** 0.7439 0.6535 0.0000 15 60.2026 8.2956 68.8174 0.9976 0.1378 55 6354 3 2 BA* BG** 0.8589 0.6627 -0.0457 14 63.8479 5.7972 33.6070 0.9990 0.0908 55 6355 2 1 BA* BG** 1.0170 0.5238 0.0000 15 58.5945 6.7882 46.0799 0.9988 0.1159 55 6355 3 1 BA* BG** 1.0764 0.5262 0.0000 15 62.2665 11.2502 126.5672 0.9970 0.1807 55 6355 3 2 BA* BG** 0.8631 0.6657 -0.2543 14 57.0610 8.0976 65.5706 0.9978 0.1419 56 1007 1 1 BA* BS** 0.5267 0.6435 -1.6153 15 9.1626 1.9697 3.8797 0.9983 0.2150 56 1007 1 2 TP1 BS92 0.3757 0.6902 -1.1476 15 7.6799 2.2477 5.0520 0.9963 0.2927 56 2015 1 1 BA* BS** 0.7355 0.2501 -0.7573 15 5.9785 2.4038 5.7781 0.9988 0.4021 56 2015 2 1 BA* BS** 0.8038 0.3029 -0.2500 15 16.8254 5.2887 27.9698 0.9975 0.3143 56 2015 2 2 TP1 BS91 0.5109 0.6047 -0.3357 15 28.2256 5.2655 27.7260 0.9969 0.1866 56 2017 1 1 BA* BS** 0.9145 0.1653 -0.6342 15 5.0124 1.4839 2.2019 0.9997 0.2960 56 2017 1 2 A2 TS03 0.8373 0.1439 -1.0321 15 5.2626 1.3780 1.8988 0.9997 0.2618 56 2017 1 2 TP1 BS91 0.9368 0.1288 -1.2572 15 6.6783 1.5417 2.3767 0.9996 0.2308 56 2018 1 1 BA* BS** 0.6951 0.2164 -0.4344 15 5.0266 2.0530 4.2150 0.9991 0.4084 56 2018 1 2 A2 TS03 0.6300 0.3023 -2.6856 15 7.8510 1.5721 2.4716 0.9988 0.2002 56 2018 1 2 TP1 BS92 0.8120 0.1932 -1.5868 15 7.0122 1.1781 1.3879 0.9997 0.1680 56 2019 1 1 A1 TS01 0.5839 0.2582 -3.4133 15 8.0166 1.4579 2.1256 0.9986 0.1819 56 2019 1 1 BA* BS** 0.8127 0.1588 -0.0702 15 4.7809 1.5786 2.4921 0.9997 0.3302 56 2019 3 1 BA* BG** 0.7843 0.3780 -0.3117 15 20.9982 4.7261 22.3361 0.9981 0.2251 56 2019 3 2 TP1 BG91 0.4929 0.6218 -0.4144 15 26.9970 5.1264 26.2801 0.9967 0.1899 56 2020 1 1 BA* BS** 0.9256 0.1478 0.0000 15 5.6044 2.5155 6.3276 0.9994 0.4488 56 2020 1 2 TP1 BS91 0.8684 0.1470 -1.0685 15 5.7998 1.9816 3.9266 0.9994 0.3417 56 2037 1 1 BA* BS** 0.7543 0.1982 -1.1134 15 5.7998 2.3292 5.4254 0.9988 0.4016 56 2037 1 2 TP1 BS91 0.6440 0.3430 -2.1612 15 7.7016 2.3682 5.6084 0.9979 0.3075 56 6031 1 1 BA* BS** 0.9141 0.1899 0.0000 15 8.5038 5.6761 32.2186 0.9967 0.6675 56 6031 1 2 TP1 BS91 0.9185 0.1802 0.0000 15 7.2493 3.9686 15.7501 0.9984 0.5475 56 7772 1 1 BA* BS** 0.8610 0.1257 -0.5661 15 4.0708 1.8172 3.3022 0.9995 0.4464 56 7772 1 2 TP1 BS91 0.8466 0.1469 -0.5322 15 4.6823 2.5486 6.4954 0.9991 0.5443 56 7773 1 1 BA* BS** 0.5958 0.5748 -1.2315 15 9.6870 2.0090 4.0363 0.9987 0.2074 56 7773 1 2 TP1 BS92 0.7844 0.2339 -0.5387 15 5.8538 1.9482 3.7953 0.9994 0.3328 56 7773 2 2 TP1 BG91 0.7720 0.4443 -0.2661 15 27.6469 4.2579 18.1297 0.9987 0.1540 56 7775 1 1 BA* BS** 0.4821 0.4984 -1.8745 15 6.8917 2.2835 5.2143 0.9969 0.3313 56 7775 1 2 TP1 BS92 0.6113 0.4254 -1.7583 15 7.6295 2.0629 4.2556 0.9984 0.2704 72 1003 1 1 A1 TS01 0.7677 0.1314 -2.0330 15 8.1141 3.5550 12.6377 0.9966 0.4381 72 1003 2 2 BA* BG** 0.7733 0.6425 -0.1222 15 56.5290 5.9619 35.5445 0.9987 0.1055 72 3008 2 1 BA* BG** 1.0268 0.5676 -0.0038 15 67.1298 7.3403 53.8794 0.9988 0.1093 72 3008 2 2 BA* BG** 0.5267 0.7757 0.0000 15 58.6135 12.4299 154.5012 0.9925 0.2121 72 4121 1 1 BA* BS** 1.9106 0.5216 -2.5055 15 27.2654 4.8949 23.9605 0.9989 0.1795 72 4121 1 2 BA* BS** 1.2027 0.4161 -0.8498 15 15.8685 6.5074 42.3464 0.9969 0.4101 72 4121 2 2 BA* BG** 1.5485 0.5749 -0.5376 15 67.3378 12.7083 161.5020 0.9974 0.1887 72 4122 1 1 BA* BS** 1.2098 0.2621 -0.4862 15 12.2397 7.2895 53.1373 0.9964 0.5956 72 4122 1 2 BA* BS** 1.0992 0.3283 0.0000 15 19.1528 13.7886 190.1261 0.9872 0.7199 72 4122 2 1 BA* BG** 1.1082 0.5559 -0.2774 15 55.8261 5.9029 34.8440 0.9991 0.1057 72 4122 2 2 BA* BG** 1.4196 0.3703 0.0000 15 52.0171 16.3563 267.5274 0.9947 0.3144 81 0502 1 1 B* BS** 1.3128 0.2273 -1.4959 14 9.5791 1.4157 2.0043 0.9998 0.1478 81 0503 1 1 TP1 BS92 0.8891 0.2260 -2.2604 15 9.5907 1.2887 1.6609 0.9996 0.1344 81 1803 1 1 BA* BS** 0.5780 0.6098 -1.0072 15 10.3845 1.7088 2.9199 0.9991 0.1645 81 1803 1 2 TP1 BS92 0.9559 0.1613 -0.6140 15 5.2327 1.8642 3.4754 0.9996 0.3563 81 1804 1 2 A2 TS01 0.7127 0.1848 -2.3735 15 7.8891 0.9652 0.9317 0.9997 0.1224 81 1805 1 1 BA* BS** 0.8268 0.1422 -0.6674 15 4.4955 2.0442 4.1789 0.9993 0.4547 81 1805 1 2 A2 TS01 0.8676 0.1668 -1.4833 15 6.9864 1.3319 1.7740 0.9997 0.1906 81 2812 1 2 A2 TS01 0.6117 0.1241 -0.1113 15 3.6095 2.5915 6.7159 0.9984 0.7180 82 1005 1 2 TP1 BS93 0.4579 0.7072 -0.9901 15 9.6545 1.6413 2.6940 0.9988 0.1700 82 6006 1 1 BA* BS** 0.4297 0.7591 -1.0445 15 9.6644 1.1709 1.3711 0.9993 0.1212 82 6006 2 2 TP1 BS91 0.3899 0.6125 -0.0975 15 26.6723 1.4002 1.9605 0.9997 0.0525 83 3802 3 1 TP* BG** 0.6763 0.6963 0.0000 15 61.2728 4.4651 19.9374 0.9993 0.0729 83 3802 3 2 TP* BG** 0.5925 0.7617 -0.0055 15 62.6748 4.6906 22.0020 0.9991 0.0748 83 6452 2 1 TP* BG** 0.8337 0.6163 0.0000 15 61.4362 7.8370 61.4187 0.9981 0.1276 83 6452 2 2 TP* BG** 0.8576 0.5819 0.0000 15 57.9362 7.7898 60.6808 0.9981 0.1345 84 1684 1 1 BA* BS** 0.5179 0.5416 -0.7282 15 9.0528 2.5916 6.7165 0.9976 0.2863 84 1684 1 2 TP BS55 0.7465 0.5157 -1.6855 15 11.0143 3.5974 12.9413 0.9970 0.3266 84 1684 2 1 BA* BG** 0.4921 0.7761 -0.2031 14 48.7783 4.3794 19.1794 0.9987 0.0898 84 1802 1 1 BA* BS** 0.9406 0.5042 -2.4537 15 13.8554 4.2982 18.4745 0.9965 0.3102 84 3803 1 1 BA* BS** 1.0566 0.6190 -2.6651 15 17.7074 4.8586 23.6060 0.9964 0.2744 84 3803 1 2 BA* BS** 1.5316 0.2817 -2.8357 15 19.1254 2.9740 8.8446 0.9993 0.1555 84 6804 1 1 BA* BS** 2.3059 0.5146 -4.3315 15 38.5662 10.4900 110.0405 0.9943 0.2720 87 1620 1 1 BA* BS** 1.0184 0.1279 -1.2565 15 8.3666 4.5074 20.3167 0.9975 0.5387 87 1622 1 1 BA* BS** 1.0448 0.5029 -1.5132 15 14.4799 2.4721 6.1114 0.9993 0.1707 87 1622 1 2 TP BS55 0.8343 0.3742 -0.9775 15 9.6323 3.4832 12.1327 0.9981 0.3616 87 1622 2 1 BA* BG** 0.7437 0.6665 -0.3225 15 49.6466 3.0995 9.6069 0.9996 0.0624 87 1680 1 1 BA* BS** 0.8394 0.6361 -1.4016 14 14.9122 2.4080 5.7984 0.9990 0.1615 87 1680 1 2 TP BS55 1.0324 0.3501 -1.2024 15 11.0510 3.9020 15.2256 0.9983 0.3531 87 1680 2 2 TP BG56 0.6671 0.7649 -0.2925 15 58.0769 4.8198 23.2306 0.9990 0.0830 87 1806 1 1 BA* BS** 0.8891 0.6522 -1.8377 15 15.4689 3.0128 9.0770 0.9985 0.1948 87 2811 1 1 BA* BS** 0.7644 0.0000 -1.2744 15 8.4420 6.0481 36.5792 0.9917 0.7164 87 2811 1 2 BA4 BS04 1.0321 0.2468 -3.7740 15 15.1510 3.7047 13.7249 0.9967 0.2445 87 2812 1 1 BA* BS** 0.7722 0.3124 -5.6702 15 11.7951 2.4417 5.9619 0.9963 0.2070 87 2812 1 2 BA* BS** 0.8875 0.2427 -5.1568 15 14.4166 1.7407 3.0301 0.9986 0.1207 88 1645 1 1 BA* BS** 0.5575 0.5673 -1.8587 14 9.1378 3.0354 9.2136 0.9960 0.3322 88 1645 1 2 TP BS55 1.0514 0.3470 -2.4734 15 13.5024 4.2005 17.6442 0.9972 0.3111 88 1646 1 1 BA* BS** 0.8683 0.3856 -2.8835 15 12.1859 4.4038 19.3934 0.9950 0.3614 88 1646 1 2 TP BS55 0.6209 0.4368 -1.5422 15 8.1105 2.9942 8.9652 0.9970 0.3692 88 1647 1 2 TP BS55 0.9317 0.2328 -1.5853 15 9.1251 4.0036 16.0289 0.9974 0.4387 89 1021 1 1 BA* BS** 0.8247 0.5784 -1.0241 15 13.8763 2.0789 4.3216 0.9993 0.1498 89 1021 1 2 TP BS55 0.6993 0.5953 -0.7918 15 12.7025 1.9984 3.9934 0.9992 0.1573 89 1125 1 1 BA* BS** 0.8009 0.7689 -1.3846 15 17.2552 2.4522 6.0135 0.9990 0.1421 89 1125 1 2 TP BS55 0.6521 0.6448 -0.7963 15 12.8612 1.9143 3.6646 0.9992 0.1488 89 1125 2 1 BA* BG** 0.6902 0.6806 -0.0818 15 57.3803 3.4760 12.0829 0.9995 0.0606 89 1125 2 2 TP BG57 0.7417 0.6761 -0.2235 15 54.7011 2.9181 8.5151 0.9997 0.0533 89 1127 1 1 BA* BS** 0.7183 0.5634 -0.9276 15 12.1000 2.8263 7.9878 0.9984 0.2336 89 1127 2 1 BA3 BG03 0.5767 0.7112 -0.3218 15 43.4476 2.6671 7.1134 0.9995 0.0614 89 1127 2 2 TP BG56 0.5373 0.7512 -0.3205 15 44.5018 4.0575 16.4632 0.9989 0.0912 89 3001 1 1 BA* BS** 0.5224 0.6329 -0.7970 15 10.2711 1.5581 2.4276 0.9992 0.1517 89 3001 1 2 BA* BS** 0.6467 0.6037 -0.8812 15 11.7830 2.2201 4.9289 0.9988 0.1884 89 3001 2 2 BA* BG** 0.5924 0.6600 -0.2148 15 42.3901 3.9292 15.4384 0.9990 0.0927 89 3002 1 1 BA* BS** 0.8047 0.5151 -1.4386 15 12.1800 4.3839 19.2183 0.9964 0.3599 89 3015 1 1 BA* BS** 0.6002 0.6961 -0.6166 15 13.5366 2.4707 6.1042 0.9986 0.1825 89 3015 1 2 BA* BS** 0.8164 0.5880 -1.0565 15 14.0635 2.8041 7.8629 0.9988 0.1994 89 9018 1 1 BA* BS** 0.7245 0.4851 -0.5827 15 11.1663 2.1725 4.7198 0.9992 0.1946 89 9018 1 2 BA* BS** 0.7180 0.4582 -0.7045 15 10.6077 3.8728 14.9983 0.9972 0.3651 90 6400 1 1 TP* BS** 0.9157 0.6394 -1.1130 15 16.6942 2.6427 6.9841 0.9991 0.1583 90 6400 1 2 TP* BS** 0.8282 0.5789 -1.1381 15 13.6706 2.4851 6.1757 0.9990 0.1818 90 6405 3 1 TP* BG** 0.7461 0.7024 -0.0178 15 68.1338 3.8397 14.7434 0.9995 0.0564 90 6405 3 2 TP* BG** 1.4688 0.5246 -0.2743 15 68.1394 16.7181 279.4952 0.9955 0.2454 90 6801 1 1 TP* BS** 1.5200 0.2122 -1.2996 15 11.7380 1.4006 1.9617 0.9999 0.1193 90 6801 1 2 TP* BS** 0.9887 0.3140 0.0000 15 11.9575 3.6365 13.2241 0.9989 0.3041
** - Reference to LTPP Database Code List
Appendix B provides graphical examples of the different types of anomalies identified in the resilient modulus test data. The following gives a brief description of the graphical examples included in this appendix:
- Figures 34 through 37 show excess softening or potential disturbance of the test specimen for the higher vertical loads. These resilient modulus tests could be "good" data, but the universal constitutive equation does not fit the test data.
- Figures 38 through 41 provide graphical examples of the resilient modulus tests with a significant effect of the confining pressure that varies with the vertical loads used in the test program. These tests could be "good" data, but the universal constitutive equation does not represent a good fit to the test data.
- Figures 42 through 45 provide graphical examples of the resilient modulus tests with a sudden drop and then an increase in the resilient modulus measured at increasing vertical loads.
- Figures 46 through 49 provide graphical examples of the resilient modulus tests with relationships between resilient modulus and vertical loads for different confining pressures that intersect or have completely different stress sensitivity effects.
- Figures 50 through 53 provide graphical examples of the resilient modulus tests where the higher confining pressures result in a lower resilient modulus.
- Figures 54 through 57 provide graphical examples of the resilient modulus tests where the resilient modulus is independent of the confining pressure at the lowest vertical load used in the test program.
- Figures 58 through 61 provide graphical examples of the resilient modulus tests with possible data entry errors.
Appendix C, tables 17 through 23, provides listings of all the resilient modulus tests that were flagged with the potential anomalies graphically presented in appendix B.
* - Reference to LTPP Database Code List
State
CodeSHRP
IDLayer
No.Test
No.Loc.
No.Sample
No.R-
SquaredSE/SY Matl
CodeNo. of
CyclesCorrelations
with MR - thetaCorrelations
with MR - tauoctFlag Comment 1 0102 1 2 B7 BS07 0.9990 0.5558 131 15 0.6274 -0.1670 1 Failure 1 0111 1 2 B3 BS03 0.9988 0.6470 131 15 0.7076 0.0259 1 Failure 1 4073 1 1 BA* BS** 0.9968 0.8106 215 15 0.5578 0.0058 1 Failure 1 4155 1 1 BA* BS** 0.9799 0.5513 214 15 0.8244 0.1524 1 Lowest confining pressure curve behaves (concaves up) totally different from the other two (concave down). 6 6044 1 1 BA* BS** 0.9990 0.5689 145 15 0.8265 0.5620 1 Failure 6 7455 1 1 BA1 BS01 0.9991 0.5840 117 15 0.8015 0.5104 1 Failure 10 0103 1 1 B3 BS03 0.9991 0.6256 202 15 0.7127 -0.0037 1 Failure, first point of highest and mid confinement coincide. 30 8129 1 1 BA* BS** 0.9991 0.5361 117 15 0.8556 0.6380 1 Failure at confining pressure of 41.4 kPa. 37 0212 1 1 B5 BS05 0.9989 0.6214 145 15 0.7859 0.4244 1 Failure 42 1606 1 1 BA2 BS02 0.9951 0.9337 117 15 0.3327 0.0507 1 Failure with interweaving pattern. 42 1618 1 1 BA* BS** 0.9710 0.9836 120 15 0.2168 0.6799 1 Failure with interweaving pattern. Possible seating problem at initial stages for 41.4-kPa and 27.6-kPa confining pressure. 51 1464 1 1 BA* BS** 0.9846 0.9502 135 15 0.2958 0.5469 1 Failure, first point on the 41.4-kPa curve lies below the other two curves. This could be due to a seating problem with the sample at 41.4 kPa. 81 2812 1 2 A2 TS01 0.9984 0.7180 108 15 0.7314 0.1891 1 Failure
** - Reference to LTPP Database Code List
Table 18. Resilient modulus tests showing significant effect of confining pressure.
* - Reference to LTPP Database Code List
State
CodeSHRP
IDLayer
No.Test
No.Loc.
No.Sample
No.R-
SquaredSE/SY Matl
CodeNo. of
CyclesCorrelations
with MR - thetaCorrelations
with MR - tauoctFlag Comment 17 1003 1 2 TP* BS** 0.9872 0.3804 102 15 0.3379 -0.5564 2 All seem to merge at end. 17 9327 1 1 BA* BS** 0.9787 0.5676 108 14 -0.0863 -0.6986 2 All merged at end. 18 3003 1 1 BA* BS** 0.9807 0.5508 216 15 0.7481 0.1058 2 18 5528 1 1 BA* BS** 0.9792 0.3648 217 15 0.5770 -0.2747 2 27 4082 1 2 TP* BS** 0.9814 0.5051 217 14 0.7976 0.0651 2 Highest confining pressure curve/shape is a mirror image of the other two confining pressures. 28 9030 1 2 A2 TS03 0.9807 0.4484 102 15 0.7436 -0.0835 2 Highest confining pressure shows failure, big gap between it and the other two curves. 29 5403 1 1 BA* BS** 0.9867 0.4476 214 15 0.8494 0.2330 2 Failure at highest confining pressure (41.4 kPa). 29 5413 1 1 BA* BS** 0.9506 0.7765 145 14 0.6310 0.9024 2 Points on 27.6 kPa and 41.4 kPa seem to merge at the end. 29 6067 1 1 BA* BS** 0.9942 0.2934 217 15 0.4942 -0.4435 2 36 1011 1 2 TP BS55 0.9828 0.9800 265 14 0.0196 -0.1406 2 All merged at end. 39 3013 1 1 A1 TS02 0.9876 0.4303 108 15 0.0386 -0.7283 2 Highest and mid confining pressure merged at end. 48 1047 1 1 A1 TS01 0.9855 0.5817 107 15 0.7413 0.1683 2 Weaving of 13.8-kPa and 27.6-kPa confining pressure curves. 48 1056 2 2 TP1 BG56 0.9890 0.4795 308 15 0.8462 0.4455 2 Highest confining pressure concave down and all others concave up. 48 3559 1 1 BA* BS** 0.9941 0.5077 214 15 0.7649 -0.0547 2 Big gap between highest confining pressure (concave down) and the other two (concave up). 48 5284 1 1 BA* BS** 0.9928 0.5328 216 15 0.4744 -0.3790 2 First and last points of curves 13.8 kPa and 27.6 kPa coincide.
** - Reference to LTPP Database Code List
Table 19. Resilient modulus tests with a sudden drop and then an increase in resilient modulus.
* - Reference to LTPP Database Code List
State
CodeSHRP
IDLayer
No.Test
No.Loc.
No.Sample
No.R-
SquaredSE/SY Matl
CodeNo. of
CyclesCorrelations
with MR - thetaCorrelations
with MR - tauoctFlag Comment 1 4129 1 2 TP1 BS55 0.9951 0.7299 215 15 0.2770 -0.4128 3 Leak in membrane suspected for highest confining pressure. 12 3811 1 2 A2 TS03 0.9964 0.5001 216 15 0.7180 -0.0632 3 Highest confining pressure went down and up, the other two not very stress-sensitive. 28 0508 1 2 A9 TS03 0.9983 0.5757 102 15 0.8119 0.1305 3 2nd point of highest confining pressure plot below mid confining pressure. 28 3089 1 2 A2 TS03 0.9950 0.5721 114 15 0.7298 -0.1215 3 Mid confining pressure very close to lowest confining pressure; 3rd point actually went below. 45 1024 1 1 A1 TS01 0.9966 0.3753 217 15 0.4722 -0.4943 3 There is a sudden dip in the data at 41.4-kPa confining pressure after which the curve becomes normal; also there might be some initial seating problem at a confining pressure of 41.4 kPa. 48 1056 1 1 A1 TS02 0.9990 0.6303 108 15 0.3895 -0.4717 3 Curve 41.4 kPa dips suddenly and also has an initial seating problem. 48 1056 2 2 TP1 BG55 0.9863 0.4299 308 15 0.8215 0.6161 3 Curve 137.9 kPa suddenly dips, probably due to membrane rupture. 48 1061 1 2 A2 TS04 0.9981 0.5205 108 15 0.4530 -0.4930 3 1st two points of highest confining pressure coincide with the mid confining pressure. 48 1069 1 2 A2 TS03 0.9983 0.6191 103 15 0.7259 0.0983 3 Highest confining pressure very close to mid confining pressure; 2nd point actually went below. 48 3875 1 2 A2 TS04 0.9981 0.5205 108 15 0.4530 -0.4930 3 Highest confining pressure has a sudden dip in the middle; probably due to defective sample (air voids ?).
** - Reference to LTPP Database Code List
* - Reference to LTPP Database Code List
State
CodeSHRP
IDLayer
No.Test
No.Loc.
No.Sample
No.R-
SquaredSE/SY Matl
CodeNo. of
CyclesCorrelations
with MR - thetaCorrelations
with MR - tauoctFlag Comment 01 3028 1 1 BA* BS** 0.9750 0.8727 216 15 0.4830 0.8360 4 Highest confining pressure test plot below other two tests at beginning, possible problem with seating of specimen; all show failure at end. 01 4073 1 2 A2 TS03 0.9618 0.9473 215 15 0.3334 0.9081 4 Higher confining pressure test plot below lower confining pressure test at beginning, possible problem with seating of specimen. 01 4084 1 1 A1 TS01 0.9991 0.5145 216 15 0.7123 -0.1511 4 Lowest and highest confining pressure show failure, mid confining pressure not sensitive to stress. 01 4126 1 1 A1 TS01 0.9951 0.5137 214 15 0.4255 -0.4975 4 Highest confining pressure test plot below mid confining pressure test at beginning, possible problem with seating of specimen. 04 1015 1 2 TP1 BS92 0.9981 0.6582 267 15 0.7576 0.7586 4 First point of highest confining pressure plot below lowest confining pressure, seating problem suspected for specimen. 04 1017 1 1 BA* BS** 0.9945 0.8660 267 15 0.5015 0.9538 4 Highest confining pressure test plot below other two tests at beginning, possible problem with seating of specimen. 05 3011 1 2 A2 TS03 0.9972 0.6716 133 15 0.4038 -0.4237 4 Failure at highest confining pressure. 05 3048 1 2 A2 TS03 0.9977 0.8997 102 15 0.4530 0.1170 4 1st point of highest confining pressure plot below lowest confining pressure test. 05 3073 1 1 BA* BS** 0.9945 0.7465 265 15 0.2842 -0.4630 4 Highest confining pressure test went wild! 05 4021 1 1 A1 TS01 0.9841 0.9319 265 15 -0.1699 -0.3471 4 Highest confining pressure test went wild! 05 5803 1 1 BA* BS** 0.9964 0.7366 217 15 0.7201 0.4326 4 Each confining test weaves in and out with the others. 05 5805 1 2 BA* BS** 0.9958 0.6178 282 15 0.7947 0.5935 4 Mid confining pressure behaves (concaves down) totally different from the other two (concave up). 08 7783 1 2 TP1 BS93 0.9876 0.5139 216 15 -0.2180 -0.7920 4 Three confining pressures close to each other. 12 4000 1 1 A1 TS01 0.9723 0.9658 214 15 0.1921 0.4881 4 Leak in membrane for highest confining pressure, it almost coincides with the lowest confining pressure. 12 4059 1 2 BA* BS** 0.9948 0.5249 202 15 0.8610 0.2460 4 Mid confining pressure behaves differently from the other two, possible rupture of membrane in the middle of the test. 12 4102 1 1 A1 TS02 0.9713 0.7394 204 15 0.6884 0.8606 4 Beginning of highest confining pressure plot below the other two, Seating problem? 12 4103 1 1 BA* BS** 0.8766 0.8768 214 15 0.4853 0.9543 4 Each confining test weaves in and out with the others. 15 1003 1 1 BA* BS** 0.9964 0.5461 145 15 0.8346 0.8442 4 1st point of highest confining pressure plot below mid confining pressure test. 16 6027 1 2 TP1 BS93 0.9937 0.7566 255 15 0.6592 0.9273 4 1st point of all confining pressures are out of order, possible problem with seating of sample. 17 5854 1 1 BA* BS** 0.9856 0.6732 108 15 -0.2648 -0.6812 4 All merged at end. 21 6040 1 1 BA* BS** 0.9957 0.7271 108 15 0.6858 0.9062 4 1st half of highest confining pressure plot below mid confining pressure. 22 0118 1 2 B4 BS04 0.9978 0.5966 101 15 0.7986 0.8203 4 1st point of highest confining pressure plot below mid confining pressure test. 28 1016 1 1 A1 TS01 0.9887 0.3869 214 15 0.8582 0.1640 4 1st point of highest confining pressure plot below mid confining pressure, big gap between the lowest and the other two curves. 28 3018 1 2 A2 TS03 0.9959 0.5013 214 15 0.1695 -0.6590 4 Highest confining pressure below mid confining pressure except last point. 28 3081 1 1 A1 TS01 0.9931 0.7821 216 15 0.1502 -0.4899 4 Highest confining pressure crossing the other two curves. 28 3090 1 1 A1 TS01 0.9885 0.6523 143 15 0.2925 -0.5250 4 1st point of highest confining pressure plot below lowest confining pressure test. 28 3097 1 1 A1 TS01 0.9693 1.0000 141 15 -0.2393 -0.0113 4 Highest confining pressure crossing the other two curves. 28 3099 1 1 A1 TS01 0.9960 0.8400 103 15 0.4192 -0.1249 4 Highest confining pressure crossing the other two curves. 34 1033 1 2 TP BS55 0.9965 0.5103 267 15 0.5167 -0.4152 4 1st point of highest confining pressure plot below mid confining pressure test. 35 1022 1 1 A1 TS01 0.9943 0.4376 204 15 0.4313 -0.4923 4 1st point of highest confining pressure plot below mid confining pressure test. 35 2118 1 1 A1 TS01 0.9944 0.8583 214 15 0.4930 0.7739 4 Data points at different confining pressures form a weaving pattern. 35 3010 1 1 A1 TS01 0.9907 0.5846 202 15 0.8301 0.6993 4 1st point of highest confining pressure plots below mid & lowest confining pressure test. 37 1024 1 2 TP BS55 0.9874 0.5150 214 14 0.0140 -0.7077 4 Data points of confining pressures 13.8 kPa and 27.6 kPa form a weaving pattern. 37 1352 1 2 TP BS55 0.9927 1.0000 141 15 0.0570 0.0980 4 Data points at different confining pressures form a weaving pattern. 37 1803 1 2 TP BS55 0.9960 0.5124 144 15 0.4728 -0.4673 4 1st point of highest confining pressure plot below mid confining pressure test. 37 1992 1 1 BA* BS** 0.9981 0.5061 215 15 0.5541 -0.3762 4 Data points of confining pressures 41.4 kPa and 27.6 kPa form a weaving pattern. 37 2825 1 2 TP BS55 0.9964 0.8159 204 15 0.5545 -0.0093 4 Data points of confining pressures 41.4 kPa and 27.6 kPa form a weaving pattern. 37 3011 1 1 BA* BS** 0.9962 0.6789 216 15 0.6536 -0.0090 4 Data points of confining pressures 41.4 kPa and 27.6 kPa form a weaving pattern. 37 5037 1 1 BA* BS** 0.9865 0.6047 215 15 0.2836 -0.5465 4 1st point of highest confining pressure plot below mid confining pressure test. 40 0116 1 2 B2 BS02 0.9987 0.5134 113 15 0.8543 0.6704 4 1st point of highest confining pressure plot below mid confining pressure test. 40 4087 1 2 BA* BS** 0.9319 0.9479 108 15 0.3259 0.9272 4 Weaving pattern seen. 40 4161 1 1 A1 TS01 0.9814 0.9226 214 15 0.4172 0.8217 4 Weaving pattern seen. 40 4161 1 2 A2 TS03 0.9833 0.8917 214 15 0.4912 0.1678 4 Weaving pattern seen and soil seems to be stress-insensitive. 40 4166 1 1 BA* BS** 0.9917 0.8673 114 15 0.5024 0.8040 4 Data at confining pressure of 41.4 kPa weaves through the data at the other two confining pressures. 40 5021 1 2 A2 TS01 0.9848 0.9433 265 15 -0.3253 -0.3316 4 Data at confining pressure of 41.4 kPa weaves through the data at the other two confining pressures. 40 6010 1 2 BA* BS** 0.9971 0.5426 217 15 0.7421 -0.0317 4 Data points at confining pressure of 41.4 kPa weave through the data points at a confining pressure of 27.6 kPa. 40 7024 1 2 A2 TS03 0.9897 0.7258 214 15 0.1761 -0.5484 4 First point of highest confining pressure plot below lowest confining pressure, seating problem suspected for specimen. 42 1597 1 2 TP BS55 0.9797 0.8934 111 15 0.4510 0.8784 4 Curves 41.4 kPa and 27.6 kPa lower than the curve at 13.8 kPa during initial stages of the test. Could be a seating problem or leak in pressure during the initial stages of the test. 42 1598 1 2 BA6 BS06 0.9162 0.9553 217 15 0.3077 0.9222 4 Curves 41.4 kPa and 27.6 kPa lower than the curve at 13.8 kPa during initial stages of the test. Could be a seating problem or leak in pressure during the initial stages of the test. 42 1605 1 2 TP BS55 0.9889 0.4388 267 14 -0.1774 -0.8089 4 First point on the 41.4-kPa curve which is slightly below the first point on the 27.6 kPa curve. Initial seating problem for 41.4 kPa? 42 1690 1 1 BA* BS** 0.9944 0.6388 146 15 0.8085 0.3473 4 Weaving pattern, with seating problem for a pressure of 27.6 kPa. Also the soil seems to stress-insensitive. 42 7037 1 2 BA* BS** 0.9977 0.5600 267 15 0.5678 -0.3326 4 Weaving pattern, with seating problem for a pressure of 41.1. Also, the soil seems stress-insensitive. 42 9027 1 2 BA* BS** 0.9980 0.6105 267 15 0.5527 -0.3264 4 Weaving pattern, with seating problem for a pressure of 27.6 kPa. Also, the soil seems stress-insensitive. 45 1008 1 2 A2 TS03 0.9829 0.8335 214 15 0.5816 0.6383 4 Weaving pattern, with seating problem for a pressure of 41.4 kPa. Also, the soil seems stress-insensitive during the latter part of the test. 45 1011 2 1 BA* BG** 0.9862 0.3155 308 15 0.9521 0.8993 4 Weaving pattern. The first point at every pressure is below the curve at an immediately lower pressure. Probably seating problems at the initial stages of the test. 47 1029 1 2 TP1 BS55 0.9953 0.6113 217 15 0.3157 -0.5409 4 Seating problem with 41.4 kPa. 47 2008 1 2 A2 TS03 0.9924 0.7033 131 15 0.1024 -0.6179 4 Seating problem with 41.4 kPa. 47 3101 1 1 A1 TS01 0.9803 0.9283 109 15 0.3780 0.5898 4 Weaving pattern with the 41.4-kPa curve lower than that of 27.6 kPa. Probable initial seating problems and also a leak in pressure at 41.4 kPa. 47 6022 1 1 A1 TS01 0.9959 0.4761 114 15 0.4705 -0.4557 4 Curves at pressure 41.4 kPa and 27.6 kPa weave through each other. Leak in pressure at level 41.4 kPa? 48 0801 1 3 A5 TS09 0.9983 0.6001 145 15 0.7146 -0.0544 4 Failure with seating problem at 41.4 kPa? 48 1046 2 1 BA* BG** 0.9832 0.3962 309 13 0.9336 0.8257 4 Seating problem with 34.5 and 68.9 kPa? 48 1069 1 1 BA* BS** 0.9993 0.7093 103 15 0.7223 0.3748 4 1st point of highest and lowest confining pressure coincide. 48 1092 1 1 BA* BS** 0.9909 1.0000 143 15 -0.1710 0.1423 4 All three curves cross each other. 48 1094 1 2 TP1 BS55 0.9929 0.5702 217 15 0.8159 0.7139 4 Mid confining pressure crosses the other two curves. 48 1111 1 2 A2 TS03 0.9837 0.9019 216 15 0.4419 0.8732 4 All three curves cross each other. 48 1111 1 1 A1 TS01 0.9910 0.9958 216 15 0.0569 -0.0743 4 Highest confining pressure crosses the other two curves. 48 1113 1 2 A2 TS03 0.9513 0.9895 114 15 0.1790 0.7852 4 All three curves cross each other. 48 1116 1 1 A1 TS01 0.9957 0.9128 114 15 0.4004 0.2941 4 All three curves cross each other. 48 1130 1 2 A2 TS03 0.9798 0.9423 109 15 0.3352 0.9155 4 Highest confining pressure below mid confining pressure and crosses the lowest confining pressure curve. 48 1181 1 2 BA* BS** 0.9829 0.7838 114 15 0.6034 0.7567 4 Mid confining pressure crosses the other two curves. 48 1183 1 2 A2 TS03 0.9940 0.8556 114 15 0.3563 -0.1881 4 Highest confining pressure below mid confining pressure and crosses the lowest confining pressure curve. 48 3003 1 1 A1 TS01 0.9959 0.9410 103 15 0.4018 0.5168 4 All three curves cross each other. 48 3010 1 2 BA* BS** 0.9988 0.7834 102 15 -0.0756 -0.5581 4 All three curves are very close and cross each other. 48 3579 1 1 A1 TS01 0.9985 0.5796 114 15 0.7667 0.2049 4 Highest confining pressure crosses mid confining pressure. 48 3589 1 2 A2 TS03 0.9927 0.7455 214 15 0.6881 0.6033 4 Highest confining pressure crosses the other two curves. 48 3609 1 1 A1 TS01 0.9981 0.5103 101 15 0.1417 -0.6404 4 Highest confining pressure crosses the other two curves. 48 3609 1 2 A2 TS03 0.9797 0.8954 101 15 0.4350 0.8887 4 All three curves are very close and cross each other. 48 3689 1 2 A2 TS03 0.9766 0.8534 113 15 0.5666 0.7254 4 Lowest confining pressure crosses the other two curves and data entry error for mid confining pressure. 48 3729 1 1 A1 TS01 0.9941 0.6437 102 15 0.6323 -0.1869 4 Highest confining pressure (concave down) crossed the other two (concave up). 48 3749 1 1 A1 TS02 0.9973 0.8904 216 15 0.4979 0.5238 4 All three curves cross each other. 48 3749 1 2 A2 TS03 0.9890 1.0000 216 15 -0.0034 0.1366 4 Highest confining pressure (concave down) crossed the other two (concave up). 48 3769 1 1 BA* BS** 0.9975 0.6711 215 15 0.6232 -0.1880 4 Highest confining pressure (concave down) crossed the other two (concave up). 48 3779 1 1 A1 TS01 0.9931 0.5885 109 15 -0.1265 -0.7517 4 Lowest confining pressure crosses mid confining pressure. 48 4142 1 1 A1 TS01 0.9943 0.7639 216 15 0.6560 0.5129 4 First point of highest confining pressure plot below lowest confining pressure, seating problem suspected for specimen. 48 5026 1 1 A1 TS01 0.9959 1.0000 103 15 -0.1073 0.3915 4 All three curves cross each other. 48 5154 1 1 A1 TS02 0.9800 1.0000 216 15 -0.3015 0.2044 4 Leak in pressure for the highest confining pressure, hence it crosses the other two curves. 48 5278 1 1 BA* BS** 0.9963 0.6317 217 15 0.6168 -0.0005 4 Leak in pressure for 41.4-kPa sample, hence it falls below the 27.6-kPa curve. Could be due to rupture in membrane. 48 5310 1 2 BA* BS** 0.9888 0.6436 214 15 0.7688 0.8089 4 First point of 27.6 kPa falls below that of 13.8 kPa. This could be due to a seating problem for the sample at 27.6 kPa. 48 5323 1 2 A2 TS03 0.9688 0.9522 108 15 0.3180 0.8322 4 Curves 27.6 kPa and 41.4 kPa fall below curve 13.8 kPa for the first half of the test and during the second half, curve 41.4 kPa is below curve 27.6 kPa. This could be due to seating problems or leak in pressure. 48 5334 1 2 A2 TS03 0.9940 0.5232 114 15 0.2214 -0.6071 4 First point of 27.6 kPa falls below that of 13.8 kPa. This could be due to a seating problem for the sample at 27.6 kPa. Also, the last points on the 13.8-kPa and 27.6-kPa curves coincide. 48 5335 1 2 BA* BS** 0.9733 0.9192 108 15 0.3890 0.7325 4 Curves 27.6 kPa and 41.4 kPa fall below curve 13.8 kPa for the first half of the test and during the second half, curve 41.4 kPa is below curve 27.6 kPa. This could be due to seating problems or leak in pressure. 48 5336 1 2 A2 TS03 0.9708 0.9971 108 15 0.1334 0.4812 4 All three curves cross each other. The material is also stress-insensitive. 48 6179 1 1 A1 TS01 0.9913 0.7866 216 15 0.3214 -0.3123 4 Curve 27.6 kPa falls below curve 13.8 kPa during the latter part of the test. This could be due to membrane rupture or leak in pressure. 48 9005 1 2 A2 TS02 0.9968 0.8181 118 15 0.6201 0.6909 4 Seating problems with samples at 27.6 kPa and 41.4 kPa. 49 1008 1 2 TP1 BS92 0.9892 0.9980 114 15 0.1121 0.0801 4 Curves 27.6 kPa and 13.8 kPa seem to be almost the same. All the curves cross each other. 51 5009 1 2 BA* BS** 0.9981 0.5779 267 15 0.8143 0.7293 4 Highest confining pressure crosses mid confining pressure. 54 1640 1 2 TP BS55 0.9827 0.4723 267 15 -0.2536 -0.8097 4 First point on curve 41.4 kPa lies below the other two curves. This is probably due to a seating problem. The last points on the middle and high confining pressures coincide with each other. 54 4003 1 1 BA* BS** 0.9968 0.5450 265 15 0.5032 -0.4247 4 First point on the highest confinement curve is below that on the mid confining pressure curve. Due to a seating problem? Soil is stress insensitive. 54 7008 1 2 BA* BS** 0.9966 0.6189 108 15 0.5514 -0.3145 4 First point on the highest confinement curve is below that on the mid confining pressure curve. Due to a seating problem? Soil is stress insensitive. 54 7008 1 1 BA* BS** 0.9968 0.5393 108 15 0.5152 -0.4178 4 First point on the highest confinement curve is below that on the mid confining pressure curve. Due to a seating problem Soil is stress insensitive. 72 4122 1 1 BA* BS** 0.9964 0.5956 267 15 0.7028 0.0797 4 The 41.4-kPa curve falls below the 27.6-kPa curve during the second half of the test. Could be due to membrane rupture. 87 1620 1 1 BA* BS** 0.9975 0.5387 102 15 0.0715 -0.7134 4 First point on the highest confinement curve is below that on the mid & low confining pressure curves. Due to a seating problem? 87 2811 1 1 BA* BS** 0.9917 0.7164 131 15 -0.4051 -0.7092 4 First point on the highest confinement curve is below that on the mid & low confining pressure curves. Due to a seating problem?
** - Reference to LTPP Database Code List
* - Reference to LTPP Database Code List
State
CodeSHRP
IDLayer
No.Test
No.Loc.
No.Sample
No.R-
SquaredSE/SY Matl
CodeNo. of
CyclesCorrelations
with MR - thetaCorrelations
with MR - tauoctFlag Comment 1 4125 1 1 BA* BS** 0.9944 0.8035 217 15 0.5165 0.0141 5 Leak in membrane suspected for highest confining pressure, not sensitive to stress for the other two. 1 4127 2 2 BA* BG** 0.9845 0.3184 308 15 0.9579 0.9118 5 Leak in membrane suspected for 34.5-kPa and 68.9-kPa confining pressure. 12 3995 3 1 BA* BG** 0.9800 0.3448 308 15 0.9551 0.8834 5 20.7-kPa confining pressure above 34.5-kPa confining pressure and behaves differently from all confining pressures. 28 1016 1 2 A2 TS03 0.9887 0.5853 214 15 0.4356 -0.4020 5 Highest confining pressure below mid confining pressure. 28 4024 1 1 BA* BS** 0.9904 0.8564 108 15 0.5351 0.7370 5 Highest confining pressure below mid confining pressure, 2nd point of all three curves coincide. 40 3018 1 2 A2 TS03 0.9928 0.5490 102 15 -0.5167 -0.7962 5 Out of order and some weaving seen. 47 3108 1 2 TP1 BS55 0.9899 0.4136 114 15 -0.6332 -0.8891 5 Curve at pressure of 41.4 kPa is lower than the curve at 13.8 kPa. 47 3109 1 2 TP1 BS55 0.9880 0.6362 114 15 -0.6952 -0.7730 5 Curve at pressure of 41.4 kPa is lower than the curve at 13.8 kPa. Also the last points of all curves merge at one single point. 48 0802 3 2 B4 BG01 0.9924 1.0000 302 15 -0.4163 0.0445 5 Curve at pressure 41.4 kPa is lower than the curves at 13.8 kPa and 27.6 kPa. The soil is stress-insensitive. 48 1047 1 2 A2 TS03 0.9975 0.6008 107 15 -0.1202 -0.7463 5 Curve 41.4 kPa below curve 26.7 kPa 48 9005 1 1 A1 TS01 0.9939 0.9218 118 15 -0.6583 -0.3640 5 Curve 41.4 kPa is below the curves at 13.8 kPa and 27.6 kPa. Also, the curves at 13.8 kPa and 27.6 kPa cross each other, which may be due to seating problems with the sample at 27.6 kPa.
** - Reference to LTPP Database Code List
* - Reference to LTPP Database Code List
State
CodeSHRP
IDLayer
No.Test
No.Loc.
No.Sample
No.R-
SquaredSE/SY Matl
CodeNo. of
CyclesCorrelations
with MR - thetaCorrelations
with MR - tauoctFlag Comment 6 1253 1 1 BA* BS** 0.9972 0.6037 267 15 0.8209 0.7423 6 1st points of all confining pressures are about the same. 9 5001 1 1 BA2 BS02 0.9767 0.5652 215 15 0.8353 0.7068 6 1st points of all confining pressures are about the same. 12 3811 1 1 BA* BS** 0.9937 0.6869 216 15 0.7299 0.7225 6 1st points of all confining pressures are about the same. 22 0113 1 1 B6 BS06 0.9966 0.6632 101 15 0.7409 0.8622 6 1st points of highest confining pressure plot coincide with mid confining pressure test. 22 0117 1 2 B5 BS05 0.9991 0.5231 101 15 0.8566 0.5662 6 1st points of highest confining pressure plot coincide with mid confining pressure test. 22 0124 1 1 B3 BS03 0.9988 0.6005 101 15 0.7928 0.8236 6 1st points of highest confining pressure plot coincide with mid confining pressure test. 35 0101 1 2 B1 BS01 0.9958 0.7379 114 15 0.6699 0.8883 6 1st points of highest confining pressure plot below mid & lowest confining pressure test. 35 0105 1 2 B3 BS03 0.9965 0.7091 103 15 0.7000 0.8837 6 1st points of highest confining pressure plot below mid confining pressure test (the first points at all confining pressures. Start at almost the same point). 40 0117 1 2 B3 BS03 0.9964 0.6047 113 15 0.7927 0.8499 6 1st points of highest and mid confining pressure test coincide. 40 0120 1 2 B5 BS05 0.9971 0.5888 113 15 0.8066 0.7704 6 1st points of highest and mid confining pressure test coincide. 40 0123 1 2 B6 BS06 0.9926 0.7377 113 15 0.6792 0.9140 6 The first points at all confining pressure start at almost the same point. 48 0801 1 1 B2 BS02 0.9985 0.5336 145 15 0.8479 0.7235 6 First and the last points of confining pressures 27.6 kPa and 41.3 kPa coincide. 48 0802 1 1 B1 BS01 0.9951 0.7011 145 15 0.7176 0.8737 6 Initial point is the same for all three curves. 48 2133 1 1 A1 TS01 0.9984 0.5330 103 15 0.7112 -0.1237 6 1st points of highest and mid confining pressure coincide. 49 1006 1 2 TP1 BS92 0.9978 0.5413 267 15 0.8344 0.6160 6 Initial points on curves 13.8 kPa and 27.6 kPa coincide. Also, the second point on the 41.4-kPa curve looks like a data entry error. 56 6031 1 1 BA* BS** 0.9967 0.6675 267 15 0.7533 0.8494 6 First point on all three curves coincide. 56 6031 1 1 BA* BS** 0.9967 0.6675 267 15 0.7533 0.8494 6 First point on all three curves coincide. 56 6031 1 2 TP1 BS91 0.9984 0.5475 267 15 0.8397 0.7415 6 First points on the mid and high confining pressures coincide. 56 7772 1 2 TP1 BS91 0.9991 0.5443 267 15 0.6069 -0.2731 6 First points on the mid and high confining pressures coincide. First point on the low curve does not exactly coincide with the other two, but is very close. 72 4122 1 2 BA* BS** 0.9872 0.7199 267 15 0.6964 0.8196 6 First point on all three curves coincide. 81 1805 1 1 BA* BS** 0.9993 0.4547 137 15 0.4926 -0.4517 6 First points on the mid and high confining pressures coincide. Failure?
** - Reference to LTPP Database Code List
Table 23. Resilient modulus tests with potential data entry error.
* - Reference to LTPP Database Code List
State
CodeSHRP
IDLayer
No.Test
No.Loc.
No.Sample
No.R-
SquaredSE/SY Matl
CodeNo. of
CyclesCorrelations
with MR - thetaCorrelations
with MR - tauoctFlag Comment 1 4073 3 1 BA* BG** 0.7186 0.9743 308 15 0.2039 0.8829 7 Both Mr and stress at zero for highest confining pressure, data entry error?! But it's at Level E!!?? 1 4084 2 2 BA* BG** 0.9121 0.7272 308 15 0.7395 0.8240 7 Leak in membrane suspected for 34.5-kPa and 68.9-kPa confining pressure, zero data point for 103.4-kPa confining pressure. 12 3997 3 1 BA* BG** 0.9313 0.6430 308 15 0.7856 0.7503 7 Zero data point for 103.4-kPa confining pressure. 12 4106 3 1 BA* BG** 0.9070 0.7260 308 15 0.6918 0.7711 7 Zero data point for 137.9-kPa confining pressure. 12 4106 2 1 BA* BG** 0.9310 0.5385 309 15 0.8489 0.9126 7 Zero data point for 103.4-kPa confining pressure. 28 3090 3 2 BA* BG** 0.9075 0.6885 308 15 0.7319 0.8265 7 Zero point for highest confining pressure. 47 3104 2 1 BA* BG** 0.9052 0.6603 303 15 0.7507 0.8214 7 Zero point for a pressure of 137.9 kPa. 48 3865 1 1 BA* BS** 0.9695 0.6396 114 15 0.7238 0.5862 7 Zero point for lowest confining pressure. 48 9167 3 2 BA4 BG04 0.9032 0.6839 308 15 0.7396 0.9023 7 Initial zero point for curve 137.9 kPa.
** - Reference to LTPP Database Code List
Appendix D, tables 24 through 39, provides a summary of the minimum, maximum, mean, and median values for each parameter included in the nonlinear optimization regression study to determine the relationship and effect between resilient modulus and physical properties. Tables 24 through 31 include the data sets for the base and subbase materials, while tables 31 through 36 include the data sets for the subgrade soils. The following defines the parameters used in these tables.
P3/8 - Percent passing the 3/8-in [9.5-mm] sieve.
PNo. 4 - Percent passing the No. 4 sieve.
PNo. 40 - Percent passing the No. 40 sieve.
PNo. 200 - Percent passing the No. 200 sieve.
LL - Liquid limit.
PI - Plasticity index.
Wopt - Optimum water content of material.
deltad,opt - Maximum dry unit weight of material.
Ws - Water content of test specimen.
deltas - Dry unit weight of test specimen.
%Silt - Percent by weight of silt in the material.
%Clay - Percent by weight of clay in the material.LTPP BASE MATL. CODE: All Granular Base & Subbase Materials
No. of Resilient Modulus Tests: 423
Parameters Min Max Median Mean P3/8" 39.0 100.0 79.0 78.9 PNo. 4 21.0 100.0 65.0 67.6 PNo. 40 8.0 98.0 38.0 42.4 PNo. 200 1.7 96.1 14.1 17.5 LL 0.0 60.0 0.0 7.5 PI 0.0 37.0 0.0 1.9 wopt% 4.0 19.0 8.0 8.2 gammad, opt (kg/m3) 1666.1 2467.1 2114.6 2097.0 ws% 3.1 20.5 7.6 8.0 gammas (kg/m3) 1557.0 2391.6 2000.0 1978.8 gammas/gammad,opt 0.80 1.06 0.95 0.94 ws/wopt 0.36 1.46 0.98 0.98 (gammad,opt)2/PNo. 40 30172.0 665211.9 117421.0 140388.9 LTPP BASE MATL. CODE: 302 - Uncrushed Gravel
No. of Resilient Modulus Tests: 31
Parameters Min Max Median Mean P3/8" 60.0 90.0 76.0 76.6 PNo. 4 32.0 81.0 59.0 61.2 PNo. 40 9.0 45.0 25.0 25.6 PNo. 200 3.5 18.1 6.9 8.5 LL 0.0 23.0 0.0 3.0 PI 0.0 8.0 0.0 0.7 wopt% 5.0 10.0 6.0 6.7 gammad, opt (kg/m3) 2018.5 2371.0 2194.7 2190.1 ws% 3.7 13.8 6.0 6.4 gammas (kg/m3) 1882.1 2215.5 2057.0 2049.9 gammas/gammad,opt 0.89 1.00 0.94 0.94 ws/wopt 0.62 1.38 0.98 0.95 (gammad,opt)2/PNo. 40 93439.9 535209.3 193843.1 215727.5 LTPP BASE MATL. CODE: 303 - Crushed Stone
No. of Resilient Modulus Tests: 57
Parameters Min Max Median Mean P3/8" 39.0 90.0 64.0 63.5 PNo. 4 21.0 77.0 49.0 46.9 PNo. 40 8.0 47.0 25.0 25.6 PNo. 200 3.0 32.4 12.2 13.4 LL 0.0 27.0 0.0 6.1 PI 0.0 8.0 0.0 1.3 wopt% 4.0 11.0 6.0 6.4 gammad, opt (kg/m3) 1874.3 2354.9 2242.8 2218.6 ws% 3.1 12.9 6.3 6.6 gammas(kg/m3) 1723.6 2236.2 2095.2 2082.3 gammas/gammad,opt 0.80 1.00 0.94 0.94 ws/wopt 0.52 1.42 1.00 1.03 (gammad,opt)2/PNo. 40 74747.9 665211.9 198342.0 220732.2 LTPP BASE MATL. CODE: 304 - Crushed Gravel
No. of Resilient Modulus Tests: 27
Parameters Min Max Median Mean P3/8" 49.0 98.0 69.0 69.5 PNo. 4 30.0 91.0 53.0 53.7 PNo. 40 8.0 69.0 28.0 28.2 PNo. 200 3.5 59.9 12.3 16.3 LL 0.0 33.0 0.0 9.7 PI 0.0 16.0 0.0 2.1 wopt% 5.0 11.0 6.0 7.2 gammad, opt (kg/m3) 1986.5 2419.0 2194.7 2195.3 ws% 4.3 11.3 5.9 6.9 gammas (kg/m3) 1875.8 2285.8 2061.6 2072.8 gammas/gammad,opt 0.92 0.96 0.94 0.94 ws/wopt 0.69 1.30 0.95 0.96 (gammad,opt)2/PNo. 40 57189.9 584658.9 172031.6 210196.2 LTPP BASE MATL. CODE: 306 - Sand
No. of Resilient Modulus Tests: 35
Parameters Min Max Median Mean P3/8" 80.0 100.0 98.0 94.6 PNo. 4 69.0 100.0 95.0 91.1 PNo. 40 28.0 97.0 59.0 60.9 PNo. 200 1.7 32.3 9.4 10.5 LL 0.0 26.0 0.0 2.0 PI 0.0 4.0 0.0 0.1 wopt% 5.0 16.0 10.0 9.5 gammad, opt (kg/m3) 1666.1 2226.8 1906.4 1943.0 ws% 5.0 14.7 9.1 8.9 gammas (kg/m3) 1574.6 2108.9 1797.3 1831.5 gammas/gammad,opt 0.90 0.97 0.95 0.94 ws/wopt 0.55 1.21 0.96 0.95 (gammad,opt)2/PNo. 40 30172.0 151323.7 64972.0 78238.9 LTPP BASE MATL. CODE: 307 - Fine-Grained Soil-Aggregate Mixture
No. of Resilient Modulus Tests: 26
Parameters Min Max Median Mean P3/8" 59.0 100.0 92.0 89.0 PNo. 4 47.0 99.0 85.5 83.0 PNo. 40 32.0 80.0 50.5 51.4 PNo. 200 7.2 64.8 32.5 29.3 LL 0.0 60.0 0.0 12.8 PI 0.0 37.0 0.0 4.5 wopt% 4.0 17.0 8.0 8.5 gammad, opt (kg/m3) 1794.2 2226.8 2082.6 2065.3 ws% 3.7 16.6 7.7 8.1 gammas (kg/m3) 1726.4 2096.8 1968.7 1962.3 gammas/gammad,opt 0.92 0.97 0.96 0.95 ws/wopt 0.87 1.10 0.94 0.95 (gammad,opt)2/PNo. 40 43914.4 139740.7 84267.3 87798.8 LTPP BASE MATL. CODE: 308 - Coarse-Grained Soil-Aggregate Mixture
No. of Resilient Modulus Tests: 155
Parameters Min Max Median Mean P3/8" 45.0 100.0 75.0 75.3 PNo. 4 34.0 99.0 61.0 62.1 PNo. 40 13.0 90.0 36.0 37.3 PNo. 200 1.9 37.0 15.9 17.4 LL 0.0 44.0 0.0 10.4 PI 0.0 18.0 0.0 2.7 wopt% 4.0 19.0 8.0 8.5 gammad, opt (kg/m3) 1682.1 2451.1 2114.6 2099.8 ws% 3.5 20.5 7.9 8.5 gammas (kg/m3) 1557.0 2332.0 2005.5 1985.3 gammas/gammad,opt 0.85 1.06 0.95 0.95 ws/wopt 0.36 1.46 0.99 1.01 (gammad,opt)2/PNo. 40 37058.9 412457.8 117658.0 141567.2 LTPP BASE MATL. CODE: 309 - Fine-Grained Soil
No. of Resilient Modulus Tests: 72
Parameters Min Max Median Mean P3/8" 58.0 100.0 94.5 92.3 PNo. 4 36.0 100.0 89.5 87.4 PNo. 40 20.0 98.0 66.0 67.2 PNo. 200 4.1 96.1 18.0 23.9 LL 0.0 30.0 0.0 5.4 PI 0.0 12.0 0.0 1.6 wopt% 5.0 13.0 9.0 9.0 gammad, opt (kg/m3) 1746.2 2467.1 1986.5 2001.8 ws% 4.7 14.2 8.3 8.5 gammas (kg/m3) 1608.3 2391.6 1871.0 1889.8 gammas/gammad,opt 0.86 1.01 0.94 0.94 ws/wopt 0.45 1.29 0.96 0.95 (gammad,opt)2/PNo. 40 33188.6 304324.2 58296.3 69574.2 LTPP BASE MATL. CODE: All Subgrade Soils
No. of Resilient Modulus Tests: 404
Parameters Min Max Median Mean P3/8" 53.0 100.0 96.0 92.3 PNo. 4 30.0 100.0 92.0 87.4 PNo. 40 18.0 99.0 71.0 69.3 PNo. 200 1.0 99.0 35.0 40.2 % Silt 0.0 92.7 23.2 26.6 % Clay 0.0 75.5 10.3 13.5 LL 0.0 73.0 22.0 19.7 PI 0.0 46.0 5.0 7.9 wopt% 6.0 95.0 12.0 13.2 gammad, opt (kg/m3) 352.4 2226.8 1890.4 1865.5 ws% 3.0 33.2 11.6 12.7 gammas (kg/m3) 1215.8 2160.0 1804.5 1790.3 gammas/gammad,opt 0.816 4.231 0.957 0.966 ws/wopt 0.239 1.357 0.973 0.964 (gammad,opt)2/PNo. 40 1380.2 275475.0 49524.3 58883.4 LTPP BASE MATL. CODE: Gravel
No. of Resilient Modulus Tests: 64
Parameters Min Max Median Mean P3/8" 53.0 99.0 79.0 78.7 PNo. 4 30.0 99.0 65.0 66.5 PNo. 40 18.0 97.0 47.0 48.3 PNo. 200 9.5 61.1 29.4 31.8 % Silt 4.1 55.5 20.9 22.2 % Clay 0.7 32.8 8.7 9.8 LL 0.0 50.0 26.0 23.7 PI 0.0 27.0 7.0 8.2 wopt% 7.0 26.0 11.0 12.6 gammad, opt (kg/m3) 1457.8 2226.8 1978.5 1921.9 ws% 6.8 25.5 11.4 12.3 gammas (kg/m3) 1377.6 2160.0 1869.6 1838.3 gammas/gammad,opt 0.864 1.030 0.958 0.957 ws/wopt 0.746 1.244 0.971 0.977 (gammad,opt)2/PNo. 40 36839.8 275475.0 76995.7 89477.2 LTPP BASE MATL. CODE: Sand
No. of Resilient Modulus Tests: 209
Parameters Min Max Median Mean P3/8" 65.0 100.0 96.0 93.7 PNo. 4 45.0 100.0 92.0 89.4 PNo. 40 26.0 99.0 65.0 66.0 PNo. 200 1.0 74.0 24.3 25.4 % Silt 0.0 55.0 15.9 17.1 % Clay 0.0 28.0 7.1 8.3 LL 0.0 65.0 0.0 10.7 PI 0.0 26.0 0.0 3.4 wopt% 6.0 33.0 11.0 11.3 gammad, opt (kg/m3) 1361.7 2194.7 1922.4 1913.3 ws% 3.0 33.2 10.4 10.6 gammas (kg/m3) 1249.4 2141.4 1839.5 1831.9 gammas/gammad,opt 0.865 1.056 0.957 0.957 ws/wopt 0.250 1.167 0.960 0.938 (gammad,opt)2/PNo. 40 22074.1 151773.2 57600.0 62402.6 LTPP BASE MATL. CODE: Silt
No. of Resilient Modulus Tests: 31
Parameters Min Max Median Mean P3/8" 85.0 100.0 97.0 94.6 PNo. 4 64.0 100.0 94.0 90.8 PNo. 40 50.0 99.0 82.0 81.5 PNo. 200 34.7 99.0 61.2 65.6 % Silt 28.0 92.7 48.9 55.6 % Clay 2.8 19.0 8.8 9.8 LL 0.0 52.0 18.0 15.3 PI 0.0 15.0 0.0 2.6 wopt% 7.0 32.0 13.0 14.1 gammad, opt (kg/m3) 1409.8 2210.8 1842.3 1845.2 ws% 6.6 33.1 12.3 14.0 gammas (kg/m3) 1366.5 2098.3 1778.1 1775.0 gammas/gammad,opt 0.926 1.048 0.953 0.962 ws/wopt 0.771 1.182 0.985 0.983 (gammad,opt)2/PNo. 40 22165.4 70263.0 40329.2 43567.6 LTPP BASE MATL. CODE: Clay
No. of Resilient Modulus Tests: 100
Parameters Min Max Median Mean P3/8" 74.0 100.0 99.0 97.5 PNo. 4 54.0 100.0 98.0 95.3 PNo. 40 38.0 99.0 88.0 85.9 PNo. 200 7.0 98.4 66.6 68.5 % Silt 3.3 71.2 39.4 40.1 % Clay 3.1 75.5 26.0 28.0 LL 0.0 73.0 35.0 37.1 PI 0.0 46.0 15.5 18.7 wopt% 8.0 95.0 16.0 17.5 gammad, opt (kg/m3) 352.4 2114.6 1730.2 1735.7 ws% 7.9 28.7 16.8 16.9 gammas (kg/m3) 1215.8 2027.9 1666.7 1677.3 gammas/gammad,opt 0.816 4.231 0.957 0.993 ws/wopt 0.239 1.357 1.000 1.003 (gammad,opt)2/PNo. 40 1380.2 63686.0 35848.6 36696.0
Appendix E provides a summary from the nonlinear regression study that was used to identify the relationship or effect of physical properties of the materials on the resilient modulus by material type. Tables 37 through 49 identify the physical properties considered to be important and list the coefficients for each parameter, along with resulting statistics from the regression study for each base material and soil type.
Figures 62 through 74 provide a graphical comparison of the residuals (MR[Predicted]-MR[Observed]) by base material and soil type. As shown by the models, there is a modulus-dependent bias. Determining the cause of the bias was beyond the scope of work for this study. Thus, the residuals and their resilient modulus dependence are presented for the consideration of future users of the LTPP resilient modulus database and computed parameters from this study.
Material: All Base and Subbase Materials Combined
Model Type Coefficient theta Exponent tauoct Exponent Model Parameters Intercept 12.8140 -8.9652 -2.7735 Model Parameters P3/8" 0.0083 -- -- Model Parameters PNo. 4 -0.0139 0.0023 0.0007 Model Parameters PNo. 40 -- -- -- Model Parameters PNo. 200 0.0036 -0.0019 -0.0054 Model Parameters % Silt -- -- -- Model Parameters % Clay -- -- -- Model Parameters LL -0.0055 0.0041 0.0007 Model Parameters PI 0.0206 -0.0168 -- Model Parameters wopt% -- -- -- Model Parameters gammad, opt (kg/m3) -0.0056 0.0042 0.0010 Model Parameters ws% -0.0431 -- -- Model Parameters gammas (kg/m3) 0.0054 -0.0045 -0.0005 Model Parameters gammas/gammad,opt -10.9427 9.7625 1.7644 Model Parameters ws/wopt 0.1150 0.1251 -0.0969 Model Parameters (gammad,opt)2/PNo. 40 -8.14E-07 4.29E-07 -- Statistics MSE 1871.79 Statistics se 43.264 Statistics sy 75.312 Statistics se/sy 0.5745 Statistics R2 -- Statistics No. of Points 6329
Table 38. Results from the nonlinear optimization regression study for the LTPP base and subbase material code data set 302 - uncrushed gravel.Material: LTPP Base and Subbase Material Code 302:Uncrushed Gravel
Model Type Coefficient theta Exponent tauoct Exponent Model Parameters Intercept -1.8961 0.4960 -0.5979 Model Parameters P3/8" -- -- -- Model Parameters PNo. 4 -- -- -- Model Parameters PNo. 40 -- -- -- Model Parameters PNo. 200 -- -0.0074 -- Model Parameters % Silt -- -- -- Model Parameters % Clay -- -- -- Model Parameters LL -- -- -- Model Parameters PI -- -- -- Model Parameters wopt% -- -- 0.0349 Model Parameters gammad, opt (kg/m3) -- -- 0.0004 Model Parameters ws% -- -- -- Model Parameters gammas (kg/m3) 0.0014 -0.0007 -- Model Parameters gammas/gammad,opt -- 1.6972 -- Model Parameters ws/wopt -0.1184 0.1199 -0.5166 Model Parameters (gammad,opt)2/PNo. 40 -- -- -- Statistics MSE 475.85 Statistics se 21.814 Statistics sy 63.045 Statistics se/sy 0.346 Statistics R2 -- Statistics No. of Points 461
Table 39. Results from the nonlinear optimization regression study for the LTPP base and subbase material code data set 303 - crushed stone.Material: LTPP Base and Subbase Material Code 303:Crushed Stone
Model Type Coefficient theta Exponent tauoct Exponent Model Parameters Intercept 0.7632 2.2159 -1.1720 Model Parameters P3/8" 0.0084 -0.0016 -- Model Parameters PNo. 4 -- -- -- Model Parameters PNo. 40 -- -- -- Model Parameters PNo. 200 -- -- -- Model Parameters % Silt -- -- -- Model Parameters % Clay -- -- -- Model Parameters LL 0.0088 0.0008 -0.0082 Model Parameters PI -- -- -- Model Parameters wopt% -0.0371 -0.0380 -0.0014 Model Parameters gammad, opt (kg/m3) -0.0001 -0.0006 0.0005 Model Parameters ws% -- -- -- Model Parameters gammas (kg/m3) -- -- -- Model Parameters gammas/gammad,opt -- -- -- Model Parameters ws/wopt -- -- -- Model Parameters (gammad,opt)2/PNo. 40 -- 2.4E-07 -- Statistics MSE 1699.64 Statistics se 41.227 Statistics sy 87.416 Statistics se/sy 0.4716 Statistics R2 -- Statistics No. of Points 853
Table 40. Results from the nonlinear optimization regression study for the LTPP base and subbase material code data set 304 - crushed gravel.Material: LTPP Base and Subbase Material Code 304:Crushed Gravel
Model Type Coefficient theta Exponent tauoct Exponent Model Parameters Intercept -0.8292 4.9555 -3.5141 Model Parameters P3/8" -0.0065 -- -- Model Parameters PNo. 4 -- -- -- Model Parameters PNo. 40 -- -- -- Model Parameters PNo. 200 -- -- -- Model Parameters % Silt -- -- -- Model Parameters % Clay -- -- -- Model Parameters LL 0.0114 -0.0057 -- Model Parameters PI 0.0004 -0.0075 -- Model Parameters wopt% -0.0187 -- -- Model Parameters gammad, opt (kg/m3) -- -- -- Model Parameters ws% 0.0036 -0.0470 -- Model Parameters gammas (kg/m3) 0.0013 -0.0022 0.0016 Model Parameters gammas/gammad,opt -- -- -- Model Parameters ws/wopt -- -- -- Model Parameters (gammad,opt)2/PNo. 40 -2.6E-06 2.8E-06 -- Statistics MSE 854.398 Statistics se 29.230 Statistics sy 66.743 Statistics se/sy 0.4380 Statistics R2 -- Statistics No. of Points 404
Table 41. Results from the nonlinear optimization regression study for the LTPP base and subbase material code data set 306 - sand.Material: LTPP Base and Subbase Material Code 306:Sand
Model Type Coefficient theta Exponent tauoct Exponent Model Parameters Intercept -0.2786 1.1148 -0.4508 Model Parameters P3/8" 0.0097 -0.0053 0.0029 Model Parameters PNo. 4 -- -- -- Model Parameters PNo. 40 -- -- -- Model Parameters PNo. 200 -- -- -- Model Parameters % Silt -- -- -- Model Parameters % Clay -- -- -- Model Parameters LL 0.0219 -0.0095 -0.0185 Model Parameters PI -0.0737 0.0325 0.0798 Model Parameters wopt% -- -- -- Model Parameters gammad, opt (kg/m3) -- -- -- Model Parameters ws% -0.0431 -- -- Model Parameters gammas (kg/m3) -- -- -- Model Parameters gammas/gammad,opt -- -- -- Model Parameters ws/wopt -- -- -- Model Parameters (gammad,opt)2/PNo. 40 1.8E-07 7.2E-07 -- Statistics MSE 512.674 Statistics se 22.642 Statistics sy 51.605 Statistics se/sy 0.4388 Statistics R2 -- Statistics No. of Points 519
Table 42. Results from the nonlinear optimization regression study for the LTPP base and subbase material code data set 307 - fine-grained soil-aggregate mixture.Material: LTPP Base and Subbase Material Code 307:Fine-Grained Soil-Aggregate Mix
Recalibrated Coefficient with Mr Equation
Model Type Coefficient theta Exponent tauoct Exponent Model Parameters Intercept -0.7668 0.4951 0.9303 Model Parameters P3/8" -- -- 0.0293 Model Parameters PNo. 4 0.0051 -0.0141 -- Model Parameters PNo. 40 -- -- -- Model Parameters PNo. 200 0.0128 -0.0061 -- Model Parameters % Silt -- -- -- Model Parameters % Clay -- -- -- Model Parameters LL 0.0030 -- 0.0036 Model Parameters PI -- -- -- Model Parameters wopt% -0.0510 -- -- Model Parameters gammad, opt (kg/m3) -- -- -- Model Parameters ws% -- -- -- Model Parameters gammas (kg/m3) -- -- -- Model Parameters gammas/gammad,opt 1.1729 1.3941 -3.8903 Model Parameters ws/wopt -- -- -- Model Parameters (gammad,opt)2/PNo. 40 -- -- -- Statistics MSE 588.20 Statistics se 24.253 Statistics sy 49.371 Statistics se/sy 0.4912 Statistics R2 -- Statistics No. of Points 390
Table 43. Results from the nonlinear optimization regression study for the LTPP base and subbase material code data set 308 - coarse-grained soil-aggregate mixture.Material: Base and Subbase Material 308:Coarse-Grained Soil-Aggregate Mixture
Model Type Coefficient theta Exponent tauoct Exponent Model Parameters Intercept -0.5856 0.7833 -0.1906 Model Parameters P3/8" 0.0130 -- -- Model Parameters PNo. 4 -0.0174 -- -- Model Parameters PNo. 40 -- -- -- Model Parameters PNo. 200 0.0027 -0.0060 -0.0026 Model Parameters % Silt -- -- -- Model Parameters % Clay -- -- -- Model Parameters LL -- -- -- Model Parameters PI 0.0149 -0.0081 -- Model Parameters wopt% -- -- -- Model Parameters gammad, opt (kg/m3) 1.6E-06 0.0001 -- Model Parameters ws% -0.0426 -- -- Model Parameters gammas (kg/m3) -- -- -- Model Parameters gammas/gammad,opt 1.6456 -- -- Model Parameters ws/wopt 0.3932 -0.1483 -- Model Parameters (gammad,opt)2/PNo. 40 -8.2E-07 -2.7E-07 8.1E-07 Statistics MSE 1883.89 Statistics se 43.404 Statistics sy 80.186 Statistics se/sy 0.5413 Statistics R2 -- Statistics No. of Points 2323
Table 44. Results from the nonlinear optimization regression study for the LTPP base and subbase material code data set 309 - fine-grained soil.Material: LTPP Base and Subbase Material Code 309:Fine-Grained Soil
Model Type Coefficient theta Exponent tauoct Exponent Model Parameters Intercept 0.8409 0.6668 -0.1667 Model Parameters P3/8" -- -- -- Model Parameters PNo. 4 -- -- -- Model Parameters PNo. 40 0.0004 -0.0007 -- Model Parameters PNo. 200 -- -- -- Model Parameters % Silt -- -- -- Model Parameters % Clay -- -- -- Model Parameters LL -- -- -- Model Parameters PI 0.0161 -0.0139 -0.0207 Model Parameters wopt% -- -- -- Model Parameters gammad, opt (kg/m3) -- -- -- Model Parameters ws% -- -- -- Model Parameters gammas (kg/m3) -- -- -- Model Parameters gammas/gammad,opt -- -- -- Model Parameters ws/wopt -- -- -- Model Parameters (gammad,opt)2/PNo. 40 -- -- -- Statistics MSE 1167.03 Statistics se 34.162 Statistics sy 62.8 Statistics se/sy 0.5440 Statistics R2 -- Statistics No. of Points 1079
Table 45. Results from the nonlinear optimization regression study for the combined subgrade soil data set.Material: All Subgrade Soils Combined
Model Type Coefficient theta Exponent tauoct Exponent Model Parameters Intercept 0.9848 0.4808 9.6691 Model Parameters P3/8" -0.0050 -0.0037 -0.0302 Model Parameters PNo. 4 -- 0.0062 0.0065 Model Parameters PNo. 40 0.0011 -0.0016 0.0192 Model Parameters PNo. 200 -- -0.0008 -0.0115 Model Parameters % Silt -- -- -- Model Parameters % Clay 0.0085 -0.0018 0.0040 Model Parameters LL 0.0089 -0.0078 0.0075 Model Parameters PI -0.0094 0.0019 0.0401 Model Parameters wopt% -- -- 0.0020 Model Parameters gammad, opt (kg/m3) -- -- -0.0039 Model Parameters ws% -0.0235 0.0111 -0.2750 Model Parameters gammas (kg/m3) -- -- -- Model Parameters gammas/gammad,opt -- -0.1232 -0.7177 Model Parameters ws/wopt 0.3290 -0.0009 1.0262 Model Parameters (gammad,opt)2/PNo. 40 -- -- 5.28E-06 Statistics MSE 449.184 Statistics se 21.194 Statistics sy 26.574 Statistics se/sy 0.7975 Statistics R2 -- Statistics No. of Points 6022
Table 46. Results from the nonlinear optimization regression study for the LTPP gravel subgrade soil data set.Material: Gravel Subgrade Soils
Model Type Coefficient theta Exponent tauoct Exponent Model Parameters Intercept 1.3429 0.3311 1.5167 Model Parameters P3/8" -0.0051 0.0010 -0.0302 Model Parameters PNo. 4 -- -- -- Model Parameters PNo. 40 -- -- -- Model Parameters PNo. 200 -- -- -- Model Parameters % Silt -- -- -- Model Parameters % Clay 0.0124 -0.0019 0.0435 Model Parameters LL 0.0053 -0.0050 0.0626 Model Parameters PI -- -0.0072 0.0377 Model Parameters wopt% -- -- -- Model Parameters gammad, opt (kg/m3) -- -- -- Model Parameters ws% -0.0231 0.0093 -0.2353 Model Parameters gammas (kg/m3) -- -- -- Model Parameters gammas/gammad,opt -- -- -- Model Parameters ws/wopt -- -- -- Model Parameters (gammad,opt)2/PNo. 40 -- -- -- Statistics MSE 301.322 Statistics se 17.359 Statistics sy 26.812 Statistics se/sy 0.6474 Statistics R2 -- Statistics No. of Points 957
Table 47. Results from the nonlinear optimization regression study for the LTPP sand subgrade soil data set.Material: Sand Subgrade Soils
Model Type Coefficient theta Exponent tauoct Exponent Model Parameters Intercept 3.2868 0.5670 -3.5677 Model Parameters P3/8" -0.0412 0.0045 0.1142 Model Parameters PNo. 4 0.0267 -2.98E-05 -0.0839 Model Parameters PNo. 40 -- -- -- Model Parameters PNo. 200 -- -- -0.1249 Model Parameters % Silt -- -0.0043 0.1030 Model Parameters % Clay 0.0137 -0.0102 0.1191 Model Parameters LL 0.0083 -0.0041 -0.0069 Model Parameters PI -- -- -- Model Parameters wopt% -0.0379 0.0014 -0.0103 Model Parameters gammad, opt (kg/m3) -- -- -- Model Parameters ws% -- -- -- Model Parameters gammas (kg/m3) -0.0004 -3.41E-05 -0.0017 Model Parameters gammas/gammad,opt -- -0.4582 4.3177 Model Parameters ws/wopt -- 0.1779 -1.1095 Model Parameters (gammad,opt)2/PNo. 40 -- -- -- Statistics MSE 357.7155648 Statistics se 18.91337 Statistics sy 24.787 Statistics se/sy 0.7630 Statistics R2 -- Statistics No. of Points 3117
Table 48. Results from the nonlinear optimization regression study for the LTPP silt subgrade soil data set.Material: Silt Subgrade Soils
Model Type Coefficient theta Exponent tauoct Exponent Model Parameters Intercept 1.0480 0.5097 -0.2218 Model Parameters P3/8" -- -- -- Model Parameters PNo. 4 -- -- -- Model Parameters PNo. 40 -- -- -- Model Parameters PNo. 200 -- -- -- Model Parameters % Silt -- -- 0.0047 Model Parameters % Clay 0.0177 -- -- Model Parameters LL -- -- -- Model Parameters PI 0.0279 -0.0286 0.0849 Model Parameters wopt% -- -- -- Model Parameters gammad, opt (kg/m3) -- -- -- Model Parameters ws% -0.0370 -- -0.1399 Model Parameters gammas (kg/m3) -- -- -- Model Parameters gammas/gammad,opt -- -- -- Model Parameters ws/wopt -- -- -- Model Parameters (gammad,opt)2/PNo. 40 -- -- -- Statistics MSE 193.03 Statistics se 13.894 Statistics sy 24.714 Statistics se/sy 0.5622 Statistics R2 -- Statistics No. of Points 464
Table 49. Results from the nonlinear optimization regression study for the LTPP clay subgrade soil data set.Material: Clay Subgrade Soils
Model Type Coefficient theta Exponent tauoct Exponent Model Parameters Intercept 1.3577 0.5193 1.4258 Model Parameters P3/8" -- -- -- Model Parameters PNo. 4 -- -0.0073 -0.0288 Model Parameters PNo. 40 -- 0.0095 0.0303 Model Parameters PNo. 200 -- -0.0027 -0.0521 Model Parameters % Silt -- -- 0.0251 Model Parameters % Clay 0.0106-- -- -- Model Parameters LL -- -0.0030 0.0535 Model Parameters PI -- -- -- Model Parameters wopt% -- -0.0049 -0.0672 Model Parameters gammad, opt (kg/m3) -- -- -0.0026 Model Parameters ws% -0.0437 -- -- Model Parameters gammas (kg/m3) -- -- -0.0025 Model Parameters gammas/gammad,opt -- -- -- Model Parameters ws/wopt -- -- -0.6055 Model Parameters (gammad,opt)2/PNo. 40 -- -- -- Statistics MSE 557.918 Statistics se 23.620 Statistics sy 29.224 Statistics se/sy 0.8082 Statistics R2 -- Statistics No. of Points 1484
Figure 62. Residuals, R, for the combined resilient modulus prediction equation for all base and subbase materials.
Figure 63. Residuals, R, for the uncrushed gravel (LTPP material code 302) resilient modulus prediction equation.
Figure 64. Residuals, R, for the crushed stone (LTPP material code 303) resilient modulus prediction equation.
Figure 65. Residuals, R, for the crushed gravel (LTPP material code 304) resilient modulus prediction equation.
Figure 66. Residuals, R, for the sand (LTPP material code 306) resilient modulus prediction equation.
Figure 67. Residuals, R, for the fine-grained soil-aggregate mixture (LTPP material code 307) resilient modulus prediction equation.
Figure 68. Residuals, R, for the coarse-grained soil-aggregate mixture (LTPP material, code 308) resilient modulus prediction equation.
Figure 69. Residuals, R, for the fine-grained soil (LTPP material code 309) resilient modulus prediction equation.
Figure 70. Residuals, R, for the resilient modulus prediction equation for all subgrade soils.
Figure 71. Residuals, R, for the gravel soils resilient modulus prediction equation.
Figure 72. Residuals, R, for the sand soils resilient modulus prediction equation.
Figure 73. Residuals, R, for the silt soils resilient modulus prediction equation.
Figure 74. Residuals, R, for the clay soils resilient modulus prediction equation.
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- Mason, Robert L., Richard F. Gunst, and James L. Hess, Statistical Design and Analysis of Experiments With Applications to Engineering and Science, John Wiley & Sons, New York City, N.Y., 1989.
- Darter, Michael I., Harold L. Von Quintus, Emmanuel B. Owusu-Antwi, and Jane Jiang, Systems for Design of Highway Pavements, Final Report for NCHRP Project 1-32, National Cooperative Highway Research Program, National Research Council, Washington, D.C., May 1997.
- Santha, B. Lanka, Resilient Modulus of Subgrade Soils: Comparison of Two Constitutive Equations, TRR No. 1462, Transportation Research Board, National Research Council, Washington, D.C., 1994.
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