(*^ ::[paletteColors = 128; automaticGrouping; currentKernel; fontset = title, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeTitle, center, M7, bold, e8, 24, "Times"; ; fontset = subtitle, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeTitle, center, M7, bold, e6, 18, "Times"; ; fontset = subsubtitle, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeTitle, center, M7, italic, e6, 14, "Times"; ; fontset = section, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeSection, grayBox, M22, bold, a20, 18, "Times"; ; fontset = subsection, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeSection, blackBox, M19, bold, a15, 14, "Times"; ; fontset = subsubsection, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeSection, whiteBox, M18, bold, a12, 12, "Times"; ; fontset = text, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12; fontset = smalltext, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 10, "Times"; ; fontset = input, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeInput, M42, N23, bold, L-5, 12, "Courier"; ; fontset = output, output, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, L-5, 12, "Courier"; ; fontset = message, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, R65535, L-5, 12, "Courier"; ; fontset = print, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, L-5, 12, "Courier"; ; fontset = info, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, B65535, L-5, 12, "Courier"; ; fontset = postscript, PostScript, formatAsPostScript, output, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeGraphics, M7, l34, w282, h287, 12, "Courier"; ; fontset = name, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, italic, 10, "Times"; ; fontset = header, inactive, noKeepOnOnePage, preserveAspect, M7, 12; fontset = Left Header, nohscroll, cellOutline, 12; fontset = footer, inactive, noKeepOnOnePage, preserveAspect, center, M7, 12; fontset = Left Footer, cellOutline, blackBox, 12; fontset = help, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 10, "Times"; ; fontset = clipboard, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12; fontset = completions, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12; fontset = special1, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12; fontset = special2, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12; fontset = special3, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12; fontset = special4, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12; fontset = special5, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12;] :[font = subtitle; inactive; preserveAspect; startGroup; ] ESTIMATION AND ANALYSIS OF A COVARIANCE FUNCTION: SYMMETRIC COEFFICIENTS :[font = text; inactive; preserveAspect; ] Written by: Mark Kirkpatrick Address: Department of Zoology, University of Texas, Austin TX 78712 USA Telephone: (512) 471-5996, -7131 Email: kirkp@biff.zo.utexas.edu, kirkp@utxvms.bitnet Fax: (512) 471-9651 :[font = subsubtitle; inactive; Cclosed; preserveAspect; startGroup; ] GENERAL INFORMATION :[font = subsubsection; inactive; Cclosed; preserveAspect; startGroup; ] Introduction :[font = text; inactive; preserveAspect; endGroup; ] "Infinite-dimensional" traits are characters like growth trajectories, reaction norms, and morphological shapes in which individuals are described by a function rather than one or a few discrete measurements. This notebook analyzes variation in an infinite-dimensional trait. In particular, these programs estimate and analyze the covariance function for the trait. The infinite-dimensional approach has been developed in a series of publications that are listed below in the "References" section. The specific methods used in this notebook are described in Kirkpatrick et al. (1990). Applications of the methods are illustrated in Kirkpatrick and Lofsvold (1992). This notebook assumes that the user is familiar with the approach in general and those papers in specific. The user inputs the covariance matrix and age vector. If a "reduced" fit (which smooths the covariance function) is being estimated then one of the options for calculating the error covariance matrix V must be chosen from the options described in the section for data input. For the sake of concreteness, the notation in this notebook assumes that the trait of interest is a growth trajectory. The methods, however, are general to a variety of other types of traits (including reaction norms and shapes). For these other applications, the variables in this notebook should be interpreted appropriately. When analyzing a reaction norm, for example, the user should supply the environmental states rather than ages for the variable "ageVector". The method of symmetric coefficients used in this notebook forces there to be a continuous first derivative along the diagonal of the covariance function (no "ridge"). (An alternative method called "asymmetric coefficients" does not make that requirement. The method of asymmetric coefficients is described in Kirkpatrick et al. (1993 ms), and is implimented in the Mathematica notebook "Asymmetric coefficients".) The orthogonal functions used in this notebook are the Legendre polynomials. ;[s] 5:0,0;980,1;981,2;1899,3;1910,4;2026,-1; 5:1,11,8,Times,0,12,0,0,0;1,10,8,Times,1,12,0,0,0;1,11,8,Times,0,12,0,0,0;1,10,8,Times,2,12,0,0,0;1,11,8,Times,0,12,0,0,0; :[font = subsubsection; inactive; Cclosed; preserveAspect; startGroup; ] References :[font = text; inactive; preserveAspect; endGroup; ] Key references are denoted with (*). Kirkpatrick, M., and N. Heckman. 1989. A quantitative-genetic model for growth, shape, reaction norms, and other infinite-dimensional characters. Journal of Mathematical Biology 27: 429-450. * Kirkpatrick, M., D. Lofsvold, and M. Bulmer. 1990. Analysis of the inheritance, selection and evolution of growth trajectories. Genetics 124: 979-993. * Kirkpatrick, M., and D. Lofsvold. 1992. Measuring selection and constraint in the evolution of growth. Evolution 46: 954-971. * Gomulkiewicz, R., and M. Kirkpatrick 1992. Quantitative genetics and the evolution of reaction norms. Evolution 46: 390-411. Kirkpatrick, M. 1993. The evolution of size and growth in harvested natural populations. Pages 145 - 154 in T.K. Stokes, J.M. McGlade, and R. Law (eds.), The Exploitation of Evolving Resources. Lecture Notes in Biomathematics 99. Springer-Verlag, Berlin. Kirkpatrick, M., W.G. Hill, and R. Thompson. 1994. Estimating the covariance structure of traits during growth and aging, illustrated with lactation in dairy cattle. Genetical Research (in press). :[font = subsubsection; inactive; Cclosed; preserveAspect; startGroup; ] Release notes :[font = text; inactive; preserveAspect; endGroup; endGroup; ] Release of 3 March 1994. This notebook may be freely distributed provided that no charge is made. I would appreciate it if people who receive a copy from a third party would notify me. (This makes it possible for me to let you know of upgrades and bugs.) Development of this software was supported by grants from NSF and NIH. This notebook is based on the notebook "new_sym_fit" written in June 1992. Major changes are: (1) the error covariance matrix V can now be calculated by several methods; (2) eigenvalues and eigenfunctions are calculated; (3) eigenvalues and eigenfunctions are now normalized over the range of the coordinate vector (rather than the range of the orthogonal functions). :[font = subsubtitle; inactive; Cclosed; preserveAspect; startGroup; ] INPUT THE DATA AND PARAMETERS :[font = text; inactive; preserveAspect; ] The following data are provided as an example. They are estimates of the additive genetic components of lactation rate in British Friesian-Holstein dairy cattle during the first 10 test dates. The data are described fully in: Pander, B.L., W.G. Hill, and R. Thompson. 1993. Genetic parameters of test day records of British Holstein-Friesian heifers. Anim. Prod. (in press). Results from the analysis of this data set using this notebook are described in Kirkpatrick et al. (1993) (full reference given above). :[font = section; inactive; Cclosed; preserveAspect; startGroup; ] Input the age vector :[font = input; preserveAspect; ] ageVector = {1., 2., 3., 4., 5., 6., 7., 8., 9., 10.} ; :[font = input; preserveAspect; endGroup; ] nAges = Dimensions[ageVector][[1]]; :[font = section; inactive; Cclosed; preserveAspect; startGroup; ] Input the covariance matrix :[font = input; preserveAspect; endGroup; ] dataMatrix = {{188.76, 210.8, 228.64, 197.08, 196.68, 193.32, 176.24, 164.44, 150., 151.8}, {210.8, 289.72, 282., 273.28, 265.64, 243.08, 245.76, 244.2, 205.4, 185.6}, {228.64, 282., 325.4, 307., 281.76, 293.84, 279.16, 274.88, 231.04, 217.28}, {197.08, 273.28, 307., 335.24, 317.24, 315.24, 316.2, 323.84, 276.8, 244.36}, {196.68, 265.64, 281.76, 317.24, 349.8, 307.24, 315.32, 331.36, 306.04, 299.68}, {193.32, 243.08, 293.84, 315.24, 307.24, 313.64, 302.92, 306.44, 274.96, 253.4}, {176.24, 245.76, 279.16, 316.2, 315.32, 302.92, 307.04, 320.2, 281.48, 258.44}, {164.44, 244.2, 274.88, 323.84, 331.36, 306.44, 320.2, 343.16, 298.88, 280.8}, {150., 205.4, 231.04, 276.8, 306.04, 274.96, 281.48, 298.88, 279.48, 270.76}, {151.8, 185.6, 217.28, 244.36, 299.68, 253.4, 258.44, 280.8, 270.76, 296.4}}; :[font = section; inactive; Cclosed; preserveAspect; startGroup; ] Choose the number of orthogonal functions to be fit (for a "full" or "reduced" fit) :[font = text; inactive; preserveAspect; ] The variable kPolys determines the number of orthogonal polynomials that will be fit to the data matrix. This number cannot be larger than nAges, which is the dimensionality of the data matrix abovel. A "full" fit results when kPolys = nAges. In this case, the estimated covariance function exactly fits the original data. A "reduced" fit occurs when kPolys < nAges. In this case, the estimated covariance function is smoothed. :[font = input; preserveAspect; endGroup; ] kPolys = 9; :[font = section; inactive; Cclosed; preserveAspect; startGroup; ] IF YOU ARE DOING A REDUCED FIT: Choose ONE of the following methods for estimating the error covariance matrix, V ;[s] 2:0,0;31,1;115,-1; 2:1,16,12,Times,2,18,0,0,0;1,16,12,Times,1,18,0,0,0; :[font = text; inactive; preserveAspect; ] Methods for calculated the error covariance matrix V are described in Appendix B of Kirkpatrick et al. (1990) (a full reference for which is given at the beginning of the notebook). The user may choose one of the following options, or supply V as calculated by his/her own method. (Methods for estimating V when fitting an additive genetic covariance function that was estimated by parent-offspring or by full-sib breeding designs are not included here; those are described in Kirkpatrick et al. (1990) Appendix B and could easily be added.) ;[s] 7:0,0;55,1;56,2;247,3;248,4;311,5;312,6;554,-1; 7:1,11,8,Times,0,12,0,0,0;1,10,8,Times,1,12,0,0,0;1,11,8,Times,0,12,0,0,0;1,10,8,Times,1,12,0,0,0;1,11,8,Times,0,12,0,0,0;1,10,8,Times,1,12,0,0,0;1,11,8,Times,0,12,0,0,0; :[font = subsection; inactive; Cclosed; preserveAspect; startGroup; ] Calculate the error covariance matrix V, Option (1): Using the approximation V[ij,kl] = alpha ( M[ik] M[jl] + M[il] M[jk] ) , where alpha is an unknown constant of proportionality :[font = text; inactive; preserveAspect; ] This method gives an approximation to the the V matrix that is proportional to a proper estimate of V. The unknown proportionality factor does not affect the fit. This method can be used when there is not sufficient information about the experimental design to use another method to estimate V (such as those given below). NOTE: Since we don't know the proportionality factor, the chi-squared value for the fit of the estimate to the data calculated below is incorrect. The significance of a reduced fit cannot be tested statistically. :[font = input; preserveAspect; endGroup; ] Clear[vMat, i, j, index3, index4]; index3 = index3Func[nAges]; index4 = index4Func[nAges]; vMat = Table[0, {i, nAges(nAges+1)/2}, {j, nAges(nAges+1)/2}]; Do[Do[ vMat[[i,j]] = ( dataMatrix[[ index3[[i]], index3[[j]] ]] * dataMatrix[[ index4[[i]], index4[[j]] ]] + dataMatrix[[ index3[[i]], index4[[j]] ]] * dataMatrix[[ index4[[i]], index3[[j]] ]] ); vMat[[j,i]] = vMat[[i,j]], {i, nAges(nAges+1)/2} ], {j, nAges(nAges+1)/2} ] :[font = subsection; inactive; Cclosed; preserveAspect; startGroup; ] Calculate the error covariance matrix V, Option (2): Assuming we are fitting an additive genetic covariance function estimated from a balanced half-sib design :[font = text; inactive; preserveAspect; ] In this case, "dataMatrix" input at the top of this notebook is the additive genetic covariance matrix G. To calculate V, we also need the phenotypic covariance matrix P. The data below are again for dairy cattle, from Pander et al. (1993). ;[s] 7:0,0;108,1;109,2;125,3;126,4;174,5;175,6;252,-1; 7:1,11,8,Times,0,12,0,0,0;1,10,8,Times,1,12,0,0,0;1,11,8,Times,0,12,0,0,0;1,10,8,Times,1,12,0,0,0;1,11,8,Times,0,12,0,0,0;1,10,8,Times,1,12,0,0,0;1,11,8,Times,0,12,0,0,0; :[font = subsubsection; inactive; Cclosed; preserveAspect; startGroup; ] Input the data and parameters :[font = input; preserveAspect; ] pMatrix = {{971.02, 588.38, 521.27, 458.97, 428.53, 396.37, 372.6, 353.87, 321.6, 278.82}, {588.38, 934.81, 654.96, 588.46, 544.08, 500.77, 477.9, 453.41, 414.35, 360.51}, {521.27, 654.96, 936.04, 655.75, 599.29, 563.51, 532.45, 499.94, 459.22, 405.76}, {458.97, 588.46, 655.75, 878.96, 634.21, 586.86, 560.1, 535.35, 490.68, 429.88}, {428.53, 544.08, 599.29, 634.21, 829.65, 609.58, 580.53, 551.52, 509.24, 457.48}, {396.37, 500.77, 563.51, 586.86, 609.58, 794.42, 596.57, 559.73, 509.95, 456.28}, {372.6, 477.9, 532.45, 560.1, 580.53, 596.57, 781.14, 591.02, 541., 483.47}, {353.87, 453.41, 499.94, 535.36, 551.52, 559.73, 591.02, 785.97, 581.05, 524.59}, {321.6, 414.35, 459.22, 490.68, 509.24, 509.95, 541., 581.05, 779.63, 587.07}, {278.82, 360.51, 405.76, 429.88, 457.48, 456.28, 483.47, 524.59, 587.07, 890.93}}; :[font = input; preserveAspect; ] nDamsPerSire = 10; :[font = input; preserveAspect; ] sSires = 700; :[font = input; preserveAspect; endGroup; ] rResidualDF = 16000; :[font = subsubsection; inactive; Cclosed; preserveAspect; startGroup; ] Preliminary calculations: Estimates of the mean squares :[font = input; preserveAspect; ] mE = pMatrix - (1/4) dataMatrix; :[font = input; preserveAspect; endGroup; ] mA = (nDamsPerSire - 1) dataMatrix / 4 + pMatrix; :[font = subsubsection; inactive; Cclosed; preserveAspect; startGroup; ] Calculate V :[font = input; preserveAspect; ] Clear[index2Func]; index2Func[k_] := ( Clear[junk, vector, i1, i2]; vector = Array[junk, k(k+1)/2]; indexVal = 0; indexArg = 1; Do[ Do[ vector[[indexArg]] = indexVal; indexArg = indexArg+1, {i1, 1, k-i2} ]; indexVal = indexVal+1, {i2, 0, k-1} ]; vector ) :[font = input; preserveAspect; ] Clear[index3Func]; index3Func[k_] := ( Clear[junk, vector, i1, i2]; vector = Array[junk, k(k+1)/2]; indexArg = 1; Do[ Do[ vector[[indexArg]] = i1; indexArg = indexArg+1, {i1, i2, k} ], {i2, 1, k} ]; vector ) :[font = input; preserveAspect; ] Clear[index4Func]; index4Func[k_] := index2Func[k] + 1; :[font = input; preserveAspect; endGroup; endGroup; ] Clear[vMat, i, j, index3, index4]; index3 = index3Func[nAges]; index4 = index4Func[nAges]; vMat = Table[0, {i, nAges(nAges+1)/2}, {j, nAges(nAges+1)/2}]; Do[Do[ covMaMa = ( mA[[ index3[[i]], index3[[j]] ]] * mA[[ index4[[i]], index4[[j]] ]] + mA[[ index3[[i]], index4[[j]] ]] * mA[[ index4[[i]], index3[[j]] ]] ) / (sSires + 2); covMeMe = ( mE[[ index3[[i]], index3[[j]] ]] * mE[[ index4[[i]], index4[[j]] ]] + mE[[ index3[[i]], index4[[j]] ]] * mE[[ index4[[i]], index3[[j]] ]] ) / (rResidualDF + 2); vMat[[i,j]] = vMat[[j,i]] = (16. / nDamsPerSire^2) (covMaMa + covMeMe), {i, j, nAges(nAges+1)/2} ], {j, 1, nAges(nAges+1)/2} ] :[font = subsection; inactive; Cclosed; preserveAspect; startGroup; ] Calculate the error covariance matrix V, Option (3): Assuming we are fitting a phenotypic covariance function estimated from a balanced half-sib design :[font = text; inactive; preserveAspect; ] In this case, "dataMatrix" input at the top of this notebook is the phenotypic covariance matrix P. To calculate V, we also need the additive genetic covariance matrix G. The following algorithm is from the notes of MK for 1-V-1993. The data below are again for dairy cattle, from Pander et al. (1993). ;[s] 7:0,0;102,1;103,2;119,3;120,4;174,5;175,6;315,-1; 7:1,11,8,Times,0,12,0,0,0;1,10,8,Times,1,12,0,0,0;1,11,8,Times,0,12,0,0,0;1,10,8,Times,1,12,0,0,0;1,11,8,Times,0,12,0,0,0;1,10,8,Times,1,12,0,0,0;1,11,8,Times,0,12,0,0,0; :[font = subsubsection; inactive; Cclosed; preserveAspect; startGroup; ] Input the data and parameters :[font = input; preserveAspect; ] gMatrix = {{188.76, 210.8, 228.64, 197.08, 196.68, 193.32, 176.24, 164.44, 150., 151.8}, {210.8, 289.72, 282., 273.28, 265.64, 243.08, 245.76, 244.2, 205.4, 185.6}, {228.64, 282., 325.4, 307., 281.76, 293.84, 279.16, 274.88, 231.04, 217.28}, {197.08, 273.28, 307., 335.24, 317.24, 315.24, 316.2, 323.84, 276.8, 244.36}, {196.68, 265.64, 281.76, 317.24, 349.8, 307.24, 315.32, 331.36, 306.04, 299.68}, {193.32, 243.08, 293.84, 315.24, 307.24, 313.64, 302.92, 306.44, 274.96, 253.4}, {176.24, 245.76, 279.16, 316.2, 315.32, 302.92, 307.04, 320.2, 281.48, 258.44}, {164.44, 244.2, 274.88, 323.84, 331.36, 306.44, 320.2, 343.16, 298.88, 280.8}, {150., 205.4, 231.04, 276.8, 306.04, 274.96, 281.48, 298.88, 279.48, 270.76}, {151.8, 185.6, 217.28, 244.36, 299.68, 253.4, 258.44, 280.8, 270.76, 296.4}}; :[font = input; preserveAspect; ] nDamsPerSire = 10; :[font = input; preserveAspect; ] sSires = 700; :[font = input; preserveAspect; endGroup; ] rResidualDF = 16000; :[font = subsubsection; inactive; Cclosed; preserveAspect; startGroup; ] Preliminary calculations: estimates of the mean squares :[font = input; preserveAspect; ] mE = dataMatrix - (1/4) gMatrix; :[font = input; preserveAspect; endGroup; ] mA = (nDamsPerSire - 1) gMatrix / 4 + dataMatrix; :[font = subsubsection; inactive; Cclosed; preserveAspect; startGroup; ] Calculate V :[font = input; preserveAspect; ] Clear[index2Func]; index2Func[k_] := ( Clear[junk, vector, i1, i2]; vector = Array[junk, k(k+1)/2]; indexVal = 0; indexArg = 1; Do[ Do[ vector[[indexArg]] = indexVal; indexArg = indexArg+1, {i1, 1, k-i2} ]; indexVal = indexVal+1, {i2, 0, k-1} ]; vector ) :[font = input; preserveAspect; ] Clear[index3Func]; index3Func[k_] := ( Clear[junk, vector, i1, i2]; vector = Array[junk, k(k+1)/2]; indexArg = 1; Do[ Do[ vector[[indexArg]] = i1; indexArg = indexArg+1, {i1, i2, k} ], {i2, 1, k} ]; vector ) :[font = input; preserveAspect; ] Clear[index4Func]; index4Func[k_] := index2Func[k] + 1; :[font = input; preserveAspect; endGroup; endGroup; endGroup; endGroup; ] Clear[vMat, i, j, index3, index4]; index3 = index3Func[nAges]; index4 = index4Func[nAges]; vMat = Table[0, {i, nAges(nAges+1)/2}, {j, nAges(nAges+1)/2}]; Do[Do[ covMaMa = ( mA[[ index3[[i]], index3[[j]] ]] * mA[[ index4[[i]], index4[[j]] ]] + mA[[ index3[[i]], index4[[j]] ]] * mA[[ index4[[i]], index3[[j]] ]] ) / (sSires + 2); covMeMe = ( mE[[ index3[[i]], index3[[j]] ]] * mE[[ index4[[i]], index4[[j]] ]] + mE[[ index3[[i]], index4[[j]] ]] * mE[[ index4[[i]], index3[[j]] ]] ) / (rResidualDF + 2); vMat[[i,j]] = vMat[[j,i]] = ( (nDamsPerSire - 1) / nDamsPerSire )^2 covMeMe + (1/nDamsPerSire)^2 covMaMa, {i, j, nAges(nAges+1)/2} ], {j, 1, nAges(nAges+1)/2} ] :[font = subsubtitle; inactive; Cclosed; preserveAspect; startGroup; ] INTERMEDIATE CALCULATIONS :[font = subsection; inactive; Cclosed; preserveAspect; startGroup; ] Function definitions (based on Legendre polynomials) :[font = subsubsection; inactive; Cclosed; preserveAspect; startGroup; ] Define the normalized Legendre polynomials, legPoly[j, x] :[font = text; inactive; preserveAspect; ] (Under Version 2 of Mathematica, the following line can be replaced with: legPoly = Compile[ {j, x}, Sqrt[(2j + 1)/2] LegendreP[j, x] ; This will speed computation of the X matrix.) :[font = input; preserveAspect; endGroup; ] legPoly[j_, x_] := Sqrt[(2j + 1)/2] LegendreP[j, x]//N ; :[font = subsubsection; inactive; Cclosed; preserveAspect; startGroup; ] Define the index functions :[font = input; preserveAspect; ] Clear[index1Func]; index1Func[k_] := ( Clear[junk, vector, i1, i2]; vector = Array[junk, k(k+1)/2]; indexVal = 0; indexArg = 1; Do[ Do[ vector[[indexArg]] = indexVal; indexVal = indexVal+1; indexArg = indexArg+1, {i1, 1, k-i2} ]; indexVal = 0, {i2, 0, k-1} ]; vector ) :[font = input; preserveAspect; ] Clear[index2Func]; index2Func[k_] := ( Clear[junk, vector, i1, i2]; vector = Array[junk, k(k+1)/2]; indexVal = 0; indexArg = 1; Do[ Do[ vector[[indexArg]] = indexVal; indexArg = indexArg+1, {i1, 1, k-i2} ]; indexVal = indexVal+1, {i2, 0, k-1} ]; vector ) :[font = input; preserveAspect; ] Clear[index3Func]; index3Func[k_] := ( Clear[junk, vector, i1, i2]; vector = Array[junk, k(k+1)/2]; indexArg = 1; Do[ Do[ vector[[indexArg]] = i1; indexArg = indexArg+1, {i1, i2, k} ], {i2, 1, k} ]; vector ) :[font = input; preserveAspect; ] Clear[index4Func]; index4Func[k_] := index2Func[k] + 1; :[font = input; preserveAspect; endGroup; endGroup; ] Clear[index5Func]; index5Func[k_] := index3Func[k] - 1; :[font = subsection; inactive; Cclosed; preserveAspect; startGroup; ] Preliminary manipulations of the data :[font = subsubsection; inactive; Cclosed; preserveAspect; startGroup; ] Calculate the vector a* of normalized ages :[font = input; preserveAspect; ] smallestAge = ageVector[[1]]; largestAge = ageVector[[nAges]]; ageRange = largestAge - smallestAge; :[font = input; preserveAspect; ] aStarVec = Array[0, nAges]; :[font = input; preserveAspect; endGroup; ] Do[ aStarVec[[i]] = -1 + 2(ageVector[[i]] - smallestAge)/ageRange, {i, nAges} ] :[font = subsubsection; inactive; preserveAspect; startGroup; ] Form the data vector from the data matrix: :[font = input; preserveAspect; ] Clear[i1, i2, i3]; mVec = Array[0, nAges(nAges + 1)/2]; :[font = input; preserveAspect; endGroup; endGroup; ] i1 = 1; Do[ Do[ mVec[[i1]] = dataMatrix[[i2, i3]]; i1 = i1+1, {i2, i3, nAges} ], {i3, 1, nAges} ] :[font = subsection; inactive; Cclosed; preserveAspect; startGroup; ] Calculate the X matrix from the orthogonal functions (Legendre polynomials) :[font = input; preserveAspect; startGroup; ] Clear[phiMat, xMat, i, j]; phiMat = Table[ legPoly[ j - 1, aStarVec[[i]] ] , {i, nAges}, {j, kPolys} ]; xMat = Table[ 0, {i, nAges(nAges+1)/2}, {j, kPolys(kPolys+1)/2}]; :[font = message; inactive; preserveAspect; endGroup; ] General::spell1: Possible spelling error: new symbol name "xMat" is similar to existing symbol "vMat". :[font = input; preserveAspect; ] Clear[index2, index3, index4, index5, kronDelta]; index2 = index2Func[kPolys]; index3 = index3Func[nAges]; index4 = index4Func[nAges]; index5 = index5Func[kPolys]; kronDelta[i_, j_] := If[(i == j), 1, 0] :[font = input; preserveAspect; endGroup; endGroup; ] xMat = Table[ ( ( phiMat[[ index3[[i]], (index5[[j]] + 1) ]] * phiMat[[ index4[[i]], (index2[[j]] + 1) ]] + phiMat[[ index3[[i]], (index2[[j]] + 1) ]] * phiMat[[ index4[[i]], (index5[[j]] + 1) ]] ) / ( 1.0 + kronDelta[ index2[[j]], index5[[j]] ] ) ), {i, nAges(nAges+1)/2}, {j, kPolys(kPolys+1)/2} ]; :[font = subsubtitle; inactive; Cclosed; preserveAspect; startGroup; ] RESULTS :[font = subsection; inactive; Cclosed; preserveAspect; startGroup; ] The coefficients: the c vector and C matrix :[font = subsubsection; inactive; Cclosed; preserveAspect; startGroup; ] Calculations :[font = input; preserveAspect; startGroup; ] Clear[cVec]; :[font = message; inactive; preserveAspect; endGroup; ] General::spell1: Possible spelling error: new symbol name "cVec" is similar to existing symbol "mVec". :[font = input; preserveAspect; startGroup; ] If[ (kPolys == nAges), (cVec = Inverse[xMat] . mVec;), (* Calculation for full fit *) (vInv = Inverse[vMat]; (* Calculations for reduced fit *) xMatTrans = Transpose[xMat]; cVec = Inverse[xMatTrans . vInv . xMat] . xMatTrans . vInv . mVec) ] :[font = output; output; inactive; preserveAspect; endGroup; ] {551.353494515897713, 9.121566990336965986, -47.80662268507009147, 3.319646517335909409, -11.83161034120360277, -5.261523251553783286, 4.210294700965321083, 13.4505604548915181, 1.05329443089550975, 31.79469580486091462, -8.172670092030325776, 0.466991585988030037, 5.309539133654377011, -6.26135677889763421, -0.2979817541248991029, 2.933876413103150014, 0.226253119435740358, 9.675444128628435201, -2.68344877618316697, 2.23071338203290874, 0.3984642787072646485, -3.000835322424592192, 1.873442477294546098, -1.762601081758483098, 3.147516094425645283, -0.6578778426358309771, 1.265254629967635146, 0.9647727383090791151, -4.042869948573105967, 2.970650320048711197, 3.969529770979694533, -1.856066526863533628, -2.496522172400104616, 1.106995936705456942, -0.9199534789548959958, 2.067540070786419906, 0.891694864862035223, -2.620771144530472655, 1.182537734309203281, 2.40520482917020228, -1.500515208324401666, 0.7751011251446797541, 6.810682688884856901, -2.949833506340383482, 4.141819642037258707} ;[o] {551.353, 9.12157, -47.8066, 3.31965, -11.8316, -5.26152, 4.21029, 13.4506, 1.05329, 31.7947, -8.17267, 0.466992, 5.30954, -6.26136, -0.297982, 2.93388, 0.226253, 9.67544, -2.68345, 2.23071, 0.398464, -3.00084, 1.87344, -1.7626, 3.14752, -0.657878, 1.26525, 0.964773, -4.04287, 2.97065, 3.96953, -1.85607, -2.49652, 1.107, -0.919953, 2.06754, 0.891695, -2.62077, 1.18254, 2.4052, -1.50052, 0.775101, 6.81068, -2.94983, 4.14182} :[font = input; preserveAspect; startGroup; ] Clear[cMat, i, j, k]; cMat = Table[0.0, {i, kPolys}, {j, kPolys}]; k = 1; Do[ Do[ cMat[[i,j]] = cVec[[k]]; cMat[[j,i]] = cVec[[k]]; k = k+1, {i, j, kPolys} ], {j, 1, kPolys} ]; :[font = message; inactive; preserveAspect; endGroup; endGroup; ] General::spell: Possible spelling error: new symbol name "cMat" is similar to existing symbols {vMat, xMat}. :[font = subsubsection; inactive; preserveAspect; startGroup; ] The result :[font = input; preserveAspect; startGroup; ] cMat :[font = output; output; inactive; preserveAspect; endGroup; endGroup; endGroup; ] {{551.353494515897713, 9.121566990336965986, -47.80662268507009147, 3.319646517335909409, -11.83161034120360277, -5.261523251553783286, 4.210294700965321083, 13.4505604548915181, 1.05329443089550975}, {9.121566990336965986, 31.79469580486091462, -8.172670092030325776, 0.466991585988030037, 5.309539133654377011, -6.26135677889763421, -0.2979817541248991029, 2.933876413103150014, 0.226253119435740358}, {-47.80662268507009147, -8.172670092030325776, 9.675444128628435201, -2.68344877618316697, 2.23071338203290874, 0.3984642787072646485, -3.000835322424592192, 1.873442477294546098, -1.762601081758483098}, {3.319646517335909409, 0.466991585988030037, -2.68344877618316697, 3.147516094425645283, -0.6578778426358309771, 1.265254629967635146, 0.9647727383090791151, -4.042869948573105967, 2.970650320048711197}, {-11.83161034120360277, 5.309539133654377011, 2.23071338203290874, -0.6578778426358309771, 3.969529770979694533, -1.856066526863533628, -2.496522172400104616, 1.106995936705456942, -0.9199534789548959958}, {-5.261523251553783286, -6.26135677889763421, 0.3984642787072646485, 1.265254629967635146, -1.856066526863533628, 2.067540070786419906, 0.891694864862035223, -2.620771144530472655, 1.182537734309203281}, {4.210294700965321083, -0.2979817541248991029, -3.000835322424592192, 0.9647727383090791151, -2.496522172400104616, 0.891694864862035223, 2.40520482917020228, -1.500515208324401666, 0.7751011251446797541}, {13.4505604548915181, 2.933876413103150014, 1.873442477294546098, -4.042869948573105967, 1.106995936705456942, -2.620771144530472655, -1.500515208324401666, 6.810682688884856901, -2.949833506340383482}, {1.05329443089550975, 0.226253119435740358, -1.762601081758483098, 2.970650320048711197, -0.9199534789548959958, 1.182537734309203281, 0.7751011251446797541, -2.949833506340383482, 4.141819642037258707}} ;[o] {{551.353, 9.12157, -47.8066, 3.31965, -11.8316, -5.26152, 4.21029, 13.4506, 1.05329}, {9.12157, 31.7947, -8.17267, 0.466992, 5.30954, -6.26136, -0.297982, 2.93388, 0.226253}, {-47.8066, -8.17267, 9.67544, -2.68345, 2.23071, 0.398464, -3.00084, 1.87344, -1.7626}, {3.31965, 0.466992, -2.68345, 3.14752, -0.657878, 1.26525, 0.964773, -4.04287, 2.97065}, {-11.8316, 5.30954, 2.23071, -0.657878, 3.96953, -1.85607, -2.49652, 1.107, -0.919953}, {-5.26152, -6.26136, 0.398464, 1.26525, -1.85607, 2.06754, 0.891695, -2.62077, 1.18254}, {4.21029, -0.297982, -3.00084, 0.964773, -2.49652, 0.891695, 2.4052, -1.50052, 0.775101}, {13.4506, 2.93388, 1.87344, -4.04287, 1.107, -2.62077, -1.50052, 6.81068, -2.94983}, {1.05329, 0.226253, -1.7626, 2.97065, -0.919953, 1.18254, 0.775101, -2.94983, 4.14182}} :[font = subsection; inactive; Cclosed; preserveAspect; startGroup; ] The estimated covariance function :[font = text; inactive; preserveAspect; ] The ages t1 and t2 are in the original units in which age was measured. :[font = subsubsection; inactive; Cclosed; preserveAspect; startGroup; ] Calculations :[font = input; preserveAspect; startGroup; ] Clear[aStar, sum, i, j, covTilda, t1, t2]; aStar[a_] := -1 + 2 (a - ageVector[[1]]) / (ageVector[[nAges]] - ageVector[[1]]); :[font = message; inactive; preserveAspect; endGroup; ] General::spell1: Possible spelling error: new symbol name "sum" is similar to existing symbol "Sum". :[font = input; preserveAspect; endGroup; ] sum = 0.0; Do[ Do[(sum = sum + cMat[[i,j]] * legPoly[ i-1, aStar[t1] ] * legPoly [ j-1, aStar[t2] ]), {i, 1, kPolys}], {j, 1, kPolys}]; covTilda[t1_, t2_] := Release[Simplify[sum]]; :[font = subsubsection; inactive; preserveAspect; startGroup; ] Results :[font = input; preserveAspect; startGroup; ] covTilda[t1, t2] :[font = output; output; inactive; preserveAspect; endGroup; endGroup; endGroup; ] 139207.7673736166169 - 327895.1443158256904*t1 + 297217.8039978444522*t1^2 - 138616.1996903766111*t1^3 + 37101.08394498065692*t1^4 - 5924.892181752260844*t1^5 + 557.7952408763266917*t1^6 - 28.56511319415916938*t1^7 + 0.6136929072947888889*t1^8 - 327895.1443158256905*t2 + 773375.1083974221891*t1*t2 - 701659.4732618962882*t1^2*t2 + 327619.626278574547*t1^3*t2 - 87800.70679317260439*t1^4*t2 + 14040.08024569103228*t1^5*t2 - 1323.572757760595899*t1^6*t2 + 67.87169565960676592*t1^7*t2 - 1.460066079955197359*t1^8*t2 + 297217.8039978444522*t2^2 - 701659.4732618962882*t1*t2^2 + 637850.6253434057544*t1^2*t2^2 - 298479.2380430441571*t1^3*t2^2 + 80174.55343887372628*t1^4*t2^2 - 12850.43658892817759*t1^5*t2^2 + 1214.237413296999129*t1^6*t2^2 - 62.40754798366902609*t1^7*t2^2 + 1.345517549509824913*t1^8*t2^2 - 138616.1996903766111*t2^3 + 327619.6262785745469*t1*t2^3 - 298479.2380430441571*t1^2*t2^3 + 140025.9931218309879*t1^3*t2^3 - 37713.83815417905196*t1^4*t2^3 + 6061.425136377374274*t1^5*t2^3 - 574.3101247020989877*t1^6*t2^3 + 29.59648457492350737*t1^7*t2^3 - 0.6397558354778087406*t1^8*t2^3 + 37101.08394498065691*t2^4 - 87800.70679317260441*t1*t2^4 + 80174.55343887372627*t1^2*t2^4 - 37713.83815417905196*t1^3*t2^4 + 10187.20244637674195*t1^4*t2^4 - 1642.196711466514415*t1^5*t2^4 + 156.0592090762675989*t1^6*t2^4 - 8.06580121683100908*t1^7*t2^4 + 0.174840735740696392*t1^8*t2^4 - 5924.892181752260844*t2^5 + 14040.08024569103228*t1*t2^5 - 12850.43658892817759*t1^2*t2^5 + 6061.425136377374274*t1^3*t2^5 - 1642.196711466514415*t1^4*t2^5 + 265.5418265242270869*t1^5*t2^5 - 25.31246331532095599*t1^6*t2^5 + 1.312207277985006129*t1^7*t2^5 - 0.02852744117787463321*t1^8*t2^5 + 557.7952408763266917*t2^6 - 1323.572757760595899*t1*t2^6 + 1214.237413296999129*t1^2*t2^6 - 574.3101247020989877*t1^3*t2^6 + 156.0592090762675989*t1^4*t2^6 - 25.31246331532095598*t1^5*t2^6 + 2.420334910283223788*t1^6*t2^6 - 0.1258511752248337416*t1^7*t2^6 + 0.002744020425762590758*t1^8*t2^6 - 28.56511319415916938*t2^7 + 67.87169565960676591*t1*t2^7 - 62.40754798366902609*t1^2*t2^7 + 29.59648457492350737*t1^3*t2^7 - 8.06580121683100908*t1^4*t2^7 + 1.312207277985006129*t1^5*t2^7 - 0.1258511752248337416*t1^6*t2^7 + 0.00656339570562703409*t1^7*t2^7 - 0.0001435176366053489085*t1^8*t2^7 + 0.6136929072947888889*t2^8 - 1.460066079955197359*t1*t2^8 + 1.345517549509824913*t1^2*t2^8 - 0.6397558354778087406*t1^3*t2^8 + 0.174840735740696392*t1^4*t2^8 - 0.02852744117787463321*t1^5*t2^8 + 0.002744020425762590758*t1^6*t2^8 - 0.0001435176366053489085*t1^7*t2^8 + 3.146929777098406083*10^-6*t1^8*t2^8 ;[o] 2 3 139208. - 327895. t1 + 297218. t1 - 138616. t1 + 4 5 6 7 37101.1 t1 - 5924.89 t1 + 557.795 t1 - 28.5651 t1 + 8 2 0.613693 t1 - 327895. t2 + 773375. t1 t2 - 701659. t1 t2 + 3 4 5 327620. t1 t2 - 87800.7 t1 t2 + 14040.1 t1 t2 - 6 7 8 1323.57 t1 t2 + 67.8717 t1 t2 - 1.46007 t1 t2 + 2 2 2 2 297218. t2 - 701659. t1 t2 + 637851. t1 t2 - 3 2 4 2 5 2 298479. t1 t2 + 80174.6 t1 t2 - 12850.4 t1 t2 + 6 2 7 2 8 2 1214.24 t1 t2 - 62.4075 t1 t2 + 1.34552 t1 t2 - 3 3 2 3 138616. t2 + 327620. t1 t2 - 298479. t1 t2 + 3 3 4 3 5 3 140026. t1 t2 - 37713.8 t1 t2 + 6061.43 t1 t2 - 6 3 7 3 8 3 574.31 t1 t2 + 29.5965 t1 t2 - 0.639756 t1 t2 + 4 4 2 4 37101.1 t2 - 87800.7 t1 t2 + 80174.6 t1 t2 - 3 4 4 4 5 4 37713.8 t1 t2 + 10187.2 t1 t2 - 1642.2 t1 t2 + 6 4 7 4 8 4 156.059 t1 t2 - 8.0658 t1 t2 + 0.174841 t1 t2 - 5 5 2 5 5924.89 t2 + 14040.1 t1 t2 - 12850.4 t1 t2 + 3 5 4 5 5 5 6061.43 t1 t2 - 1642.2 t1 t2 + 265.542 t1 t2 - 6 5 7 5 8 5 25.3125 t1 t2 + 1.31221 t1 t2 - 0.0285274 t1 t2 + 6 6 2 6 557.795 t2 - 1323.57 t1 t2 + 1214.24 t1 t2 - 3 6 4 6 5 6 574.31 t1 t2 + 156.059 t1 t2 - 25.3125 t1 t2 + 6 6 7 6 8 6 2.42033 t1 t2 - 0.125851 t1 t2 + 0.00274402 t1 t2 - 7 7 2 7 28.5651 t2 + 67.8717 t1 t2 - 62.4075 t1 t2 + 3 7 4 7 5 7 29.5965 t1 t2 - 8.0658 t1 t2 + 1.31221 t1 t2 - 6 7 7 7 8 7 0.125851 t1 t2 + 0.0065634 t1 t2 - 0.000143518 t1 t2 + 8 8 2 8 0.613693 t2 - 1.46007 t1 t2 + 1.34552 t1 t2 - 3 8 4 8 5 8 0.639756 t1 t2 + 0.174841 t1 t2 - 0.0285274 t1 t2 + 6 8 7 8 0.00274402 t1 t2 - 0.000143518 t1 t2 + -6 8 8 3.14693 10 t1 t2 :[font = subsection; inactive; Cclosed; preserveAspect; startGroup; ] A smoothed estimate of the data matrix (with 3-D plots of the smoothed matrix and of the discrepancy between the smoothed matrix and the original data matrix) :[font = text; inactive; preserveAspect; ] This step is only useful with a reduced fit; otherwise it simply re-plots the original data. :[font = subsubsection; inactive; Cclosed; preserveAspect; startGroup; ] Calculations :[font = input; preserveAspect; ] Clear[smoothVec]; smoothVec = xMat . cVec; :[font = input; preserveAspect; endGroup; ] Clear[smoothMat, i, j, k]; smoothMat = Table[0.0, {i, nAges}, {j, nAges}]; k = 1; Do[ Do[ smoothMat[[i,j]] = smoothVec[[k]]; smoothMat[[j,i]] = smoothVec[[k]]; k = k+1, {i, j, nAges} ], {j, 1, nAges} ]; :[font = subsubsection; inactive; Cclosed; preserveAspect; startGroup; ] The smoothed matrix :[font = input; preserveAspect; startGroup; ] MatrixForm[smoothMat] :[font = output; output; inactive; preserveAspect; endGroup; endGroup; ] MatrixForm[{{188.6018015361664679, 210.5268995254881046, 229.0471853798951028, 198.1257881613532459, 194.9619685178932923, 194.5428083476687234, 175.9036369996919894, 164.4133672869019633, 149.2780961308437782, 150.3335062008706948}, {210.5268995254881046, 289.4193583357114355, 282.0652434918108338, 275.6692576025113807, 261.9364592169136787, 245.9914658084622201, 244.4498406492280583, 244.491906745696369, 204.2797983276230082, 183.5491277018977}, {229.0471853798951028, 282.0652434918108338, 326.7325395757461056, 302.1281543789206764, 288.9359764473527827, 287.7041264239633423, 282.7491083006915074, 273.6887078495209055, 232.4276359168359009, 219.2598917250472148}, {198.1257881613532459, 275.6692576025113807, 302.1281543789206764, 330.3228342587495899, 326.0758781890766394, 309.8929257840567503, 315.9300418430271036, 325.1695810492188885, 282.003287399075611, 255.6981363115128576}, {194.9619685178932923, 261.9364592169136787, 288.9359764473527827, 326.0758781890766394, 334.3274445309429906, 317.0628739697580292, 314.8172814776210821, 329.6129478554944843, 297.655637024701607, 281.6773650419217055}, {194.5428083476687234, 245.9914658084622201, 287.7041264239633423, 309.8929257840567503, 317.0628739697580292, 307.939586547585087, 302.1013467523005931, 308.227726340503739, 281.130780610017864, 266.9886210924887778}, {175.9036369996919894, 244.4498406492280583, 282.7491083006915074, 315.9300418430271036, 314.8172814776210821, 302.1013467523005931, 309.4401453038944233, 318.7019906461943474, 279.4067650138424845, 253.268657946356055}, {164.4133672869019633, 244.491906745696369, 273.6887078495209055, 325.1695810492188885, 329.6129478554944843, 308.227726340503739, 318.7019906461943474, 343.8223138550212693, 299.007332408269057, 281.5026990868155142}, {149.2780961308437782, 204.2797983276230082, 232.4276359168359009, 282.003287399075611, 297.655637024701607, 281.130780610017864, 279.4067650138424845, 299.007332408269057, 276.2786273545267486, 264.4225115719528063}, {150.3335062008706948, 183.5491277018977, 219.2598917250472148, 255.6981363115128576, 281.6773650419217055, 266.9886210924887778, 253.268657946356055, 281.5026990868155142, 264.4225115719528063, 284.1584509630853549}}] ;[o] 188.602 210.527 229.047 198.126 194.962 194.543 175.904 164.413 149.278 150.334 210.527 289.419 282.065 275.669 261.936 245.991 244.45 244.492 204.28 183.549 229.047 282.065 326.733 302.128 288.936 287.704 282.749 273.689 232.428 219.26 198.126 275.669 302.128 330.323 326.076 309.893 315.93 325.17 282.003 255.698 194.962 261.936 288.936 326.076 334.327 317.063 314.817 329.613 297.656 281.677 194.543 245.991 287.704 309.893 317.063 307.94 302.101 308.228 281.131 266.989 175.904 244.45 282.749 315.93 314.817 302.101 309.44 318.702 279.407 253.269 164.413 244.492 273.689 325.17 329.613 308.228 318.702 343.822 299.007 281.503 149.278 204.28 232.428 282.003 297.656 281.131 279.407 299.007 276.279 264.423 150.334 183.549 219.26 255.698 281.677 266.989 253.269 281.503 264.423 284.158 :[font = subsubsection; inactive; Cclosed; preserveAspect; startGroup; ] A 3-D plot of the smoothed matrix :[font = input; preserveAspect; startGroup; ] ListPlot3D[smoothMat, Shading->False, PlotRange->All] :[font = postscript; PostScript; formatAsPostScript; 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.62599 .75441 .62327 .77534 .62166 .76743 .62583 Metetra 1 g .76743 .62583 .77534 .62166 .79648 .61986 .78886 .62516 Metetra 1 g .78886 .62516 .79648 .61986 .81766 .61624 .81029 .62186 Metetra 1 g .81029 .62186 .81766 .61624 .8387 .60918 .83148 .61385 Metetra 1 g .83148 .61385 .8387 .60918 .85944 .59767 .85222 .59989 Metetra 1 g .85222 .59989 .85944 .59767 .87982 .58207 .87245 .58071 Metetra 1 g .87245 .58071 .87982 .58207 .90008 .56511 .89255 .56035 Metetra 1 g .89255 .56035 .90008 .56511 .92098 .55316 .91357 .54783 Metetra 1 g .91357 .54783 .92098 .55316 .94415 .55788 .93781 .55963 Metetra 1 g .35392 .63947 .36491 .64589 .38137 .66571 .37014 .66444 Metetra 1 g .37014 .66444 .38137 .66571 .3988 .66974 .38761 .66956 Metetra 1 g .38761 .66956 .3988 .66974 .41666 .66744 .40561 .66686 Metetra 1 g .40561 .66686 .41666 .66744 .43469 .66454 .42377 .66341 Metetra 1 g .42377 .66341 .43469 .66454 .45283 .66378 .44203 .66252 Metetra 1 g .44203 .66252 .45283 .66378 .4711 .66589 .4604 .66493 Metetra 1 g .4604 .66493 .4711 .66589 .48956 .67024 .47896 .66983 Metetra 1 g .47896 .66983 .48956 .67024 .50826 .67555 .49776 .67567 Metetra 1 g .49776 .67567 .50826 .67555 .52722 .6803 .51683 .68068 Metetra 1 g .51683 .68068 .52722 .6803 .54641 .68313 .53615 .68338 Metetra 1 g .53615 .68338 .54641 .68313 .56581 .68308 .55568 .6828 Metetra 1 g .55568 .6828 .56581 .68308 .58535 .67979 .57536 .67866 Metetra 1 g .57536 .67866 .58535 .67979 .60499 .67346 .59513 .67137 Metetra 1 g .59513 .67137 .60499 .67346 .62469 .66486 .61497 .66189 Metetra 1 g .61497 .66189 .62469 .66486 .64447 .6551 .63488 .65155 Metetra 1 g .63488 .65155 .64447 .6551 .66435 .64546 .65491 .64175 Metetra 1 g .65491 .64175 .66435 .64546 .68439 .63713 .67513 .63375 Metetra 1 g .67513 .63375 .68439 .63713 .70467 .63098 .69561 .62837 Metetra 1 g .69561 .62837 .70467 .63098 .72527 .62737 .71642 .62584 Metetra 1 g .71642 .62584 .72527 .62737 .74619 .62599 .73759 .62561 Metetra 1 g .73759 .62561 .74619 .62599 .76743 .62583 .75906 .62636 Metetra 1 g .75906 .62636 .76743 .62583 .78886 .62516 .7807 .62607 Metetra 1 g .7807 .62607 .78886 .62516 .81029 .62186 .80229 .62235 Metetra 1 g .80229 .62235 .81029 .62186 .83148 .61385 .82357 .61299 Metetra 1 g .82357 .61299 .83148 .61385 .85222 .59989 .84431 .5969 Metetra 1 g .84431 .5969 .85222 .59989 .87245 .58071 .8645 .57521 Metetra 1 g .8645 .57521 .87245 .58071 .89255 .56035 .88456 .55273 Metetra 1 g .88456 .55273 .89255 .56035 .91357 .54783 .90568 .53957 Metetra 1 g .90568 .53957 .91357 .54783 .93781 .55963 .93034 .55372 Metetra 1 g .34285 .63123 .35392 .63947 .37014 .66444 .35882 .66076 Metetra 1 g .35882 .66076 .37014 .66444 .38761 .66956 .37635 .66639 Metetra 1 g .37635 .66639 .38761 .66956 .40561 .66686 .39447 .66297 Metetra 1 g .39447 .66297 .40561 .66686 .42377 .66341 .41276 .65893 Metetra 1 g .41276 .65893 .42377 .66341 .44203 .66252 .43112 .65795 Metetra 1 g .43112 .65795 .44203 .66252 .4604 .66493 .44957 .66068 Metetra 1 g .44957 .66068 .4604 .66493 .47896 .66983 .4682 .66602 Metetra 1 g .4682 .66602 .47896 .66983 .49776 .67567 .48709 .67211 Metetra 1 g .48709 .67211 .49776 .67567 .51683 .68068 .50625 .67701 Metetra 1 g .50625 .67701 .51683 .68068 .53615 .68338 .52568 .67916 Metetra 1 g .52568 .67916 .53615 .68338 .55568 .6828 .54532 .67769 Metetra 1 g .54532 .67769 .55568 .6828 .57536 .67866 .5651 .67251 Metetra 1 g .5651 .67251 .57536 .67866 .59513 .67137 .58499 .66425 Metetra 1 g .58499 .66425 .59513 .67137 .61497 .66189 .60495 .65411 Metetra 1 g .60495 .65411 .61497 .66189 .63488 .65155 .62499 .64352 Metetra 1 g .62499 .64352 .63488 .65155 .65491 .64175 .64516 .63396 Metetra 1 g .64516 .63396 .65491 .64175 .67513 .63375 .66554 .62658 Metetra 1 g .66554 .62658 .67513 .63375 .69561 .62837 .68619 .62206 Metetra 1 g .68619 .62206 .69561 .62837 .71642 .62584 .70718 .62037 Metetra 1 g .70718 .62037 .71642 .62584 .73759 .62561 .72852 .62073 Metetra 1 g .72852 .62073 .73759 .62561 .75906 .62636 .75014 .62161 Metetra 1 g .75014 .62161 .75906 .62636 .7807 .62607 .7719 .62085 Metetra 1 g .7719 .62085 .7807 .62607 .80229 .62235 .79357 .6161 Metetra 1 g .79357 .6161 .80229 .62235 .82357 .61299 .81489 .60537 Metetra 1 g .81489 .60537 .82357 .61299 .84431 .5969 .83568 .58788 Metetra 1 g .83568 .58788 .84431 .5969 .8645 .57521 .85594 .56513 Metetra 1 g .85594 .56513 .8645 .57521 .88456 .55273 .87612 .54204 Metetra 1 g .87612 .54204 .88456 .55273 .90568 .53957 .89733 .52829 Metetra 1 g .89733 .52829 .90568 .53957 .93034 .55372 .92183 .5404 Metetra 1 g .33166 .62242 .34285 .63123 .35882 .66076 .3475 .65362 Metetra 1 g .3475 .65362 .35882 .66076 .37635 .66639 .36507 .65937 Metetra 1 g .36507 .65937 .37635 .66639 .39447 .66297 .38329 .6558 Metetra 1 g .38329 .6558 .39447 .66297 .41276 .65893 .40167 .6518 Metetra 1 g .40167 .6518 .41276 .65893 .43112 .65795 .4201 .65106 Metetra 1 g .4201 .65106 .43112 .65795 .44957 .66068 .43861 .65403 Metetra 1 g .43861 .65403 .44957 .66068 .4682 .66602 .45732 .6594 Metetra 1 g .45732 .6594 .4682 .66602 .48709 .67211 .47628 .66518 Metetra 1 g .47628 .66518 .48709 .67211 .50625 .67701 .49553 .66939 Metetra 1 g .49553 .66939 .50625 .67701 .52568 .67916 .51504 .67059 Metetra 1 g .51504 .67059 .52568 .67916 .54532 .67769 .53476 .66808 Metetra 1 g .53476 .66808 .54532 .67769 .5651 .67251 .55464 .66197 Metetra 1 g .55464 .66197 .5651 .67251 .58499 .66425 .57463 .65307 Metetra 1 g .57463 .65307 .58499 .66425 .60495 .65411 .59469 .64267 Metetra 1 g .59469 .64267 .60495 .65411 .62499 .64352 .61485 .63225 Metetra 1 g .61485 .63225 .62499 .64352 .64516 .63396 .63516 .62317 Metetra 1 g .63516 .62317 .64516 .63396 .66554 .62658 .65567 .61644 Metetra 1 g .65567 .61644 .66554 .62658 .68619 .62206 .67647 .6125 Metetra 1 g .67647 .6125 .68619 .62206 .70718 .62037 .69759 .61114 Metetra 1 g .69759 .61114 .70718 .62037 .72852 .62073 .71903 .61138 Metetra 1 g .71903 .61138 .72852 .62073 .75014 .62161 .74072 .61161 Metetra 1 g .74072 .61161 .75014 .62161 .7719 .62085 .76252 .60979 Metetra 1 g .76252 .60979 .7719 .62085 .79357 .6161 .78421 .60378 Metetra 1 g .78421 .60378 .79357 .6161 .81489 .60537 .80557 .59197 Metetra 1 g .80557 .59197 .81489 .60537 .83568 .58788 .82646 .57396 Metetra 1 g .82646 .57396 .83568 .58788 .85594 .56513 .8469 .55142 Metetra 1 g .8469 .55142 .85594 .56513 .87612 .54204 .8673 .5289 Metetra 1 g .8673 .5289 .87612 .54204 .89733 .52829 .88861 .51473 Metetra 1 g .88861 .51473 .89733 .52829 .92183 .5404 .91266 .52243 Metetra 1 g .32028 .61406 .33166 .62242 .3475 .65362 .3362 .64298 Metetra 1 g .3362 .64298 .3475 .65362 .36507 .65937 .35381 .64866 Metetra 1 g .35381 .64866 .36507 .65937 .38329 .6558 .37205 .64602 Metetra 1 g .37205 .64602 .38329 .6558 .40167 .6518 .39046 .64307 Metetra 1 g .39046 .64307 .40167 .6518 .4201 .65106 .40894 .64301 Metetra 1 g .40894 .64301 .4201 .65106 .43861 .65403 .42752 .64606 Metetra 1 g .42752 .64606 .43861 .65403 .45732 .6594 .4463 .65091 Metetra 1 g .4463 .65091 .45732 .6594 .47628 .66518 .46534 .65571 Metetra 1 g .46534 .65571 .47628 .66518 .49553 .66939 .48467 .65872 Metetra 1 g .48467 .65872 .49553 .66939 .51504 .67059 .50426 .65872 Metetra 1 g .50426 .65872 .51504 .67059 .53476 .66808 .52406 .65523 Metetra 1 g .52406 .65523 .53476 .66808 .55464 .66197 .54402 .64853 Metetra 1 g .54402 .64853 .55464 .66197 .57463 .65307 .5641 .63948 Metetra 1 g .5641 .63948 .57463 .65307 .59469 .64267 .58426 .62931 Metetra 1 g .58426 .62931 .59469 .64267 .61485 .63225 .60454 .61937 Metetra 1 g .60454 .61937 .61485 .63225 .63516 .62317 .62497 .61085 Metetra 1 g .62497 .61085 .63516 .62317 .65567 .61644 .6456 .60454 Metetra 1 g .6456 .60454 .65567 .61644 .67647 .6125 .6665 .60071 Metetra 1 g .6665 .60071 .67647 .6125 .69759 .61114 .68771 .59902 Metetra 1 g .68771 .59902 .69759 .61114 .71903 .61138 .7092 .59846 Metetra 1 g .7092 .59846 .71903 .61138 .74072 .61161 .73091 .59753 Metetra 1 g .73091 .59753 .74072 .61161 .76252 .60979 .75271 .5944 Metetra 1 g .75271 .5944 .76252 .60979 .78421 .60378 .77441 .58728 Metetra 1 g .77441 .58728 .78421 .60378 .80557 .59197 .79584 .57493 Metetra 1 g .79584 .57493 .80557 .59197 .82646 .57396 .81688 .5572 Metetra 1 g .81688 .5572 .82646 .57396 .8469 .55142 .83756 .5357 Metetra 1 g .83756 .5357 .8469 .55142 .8673 .5289 .85823 .51435 Metetra 1 g .85823 .51435 .8673 .5289 .88861 .51473 .87965 .49998 Metetra 1 g .87965 .49998 .88861 .51473 .91266 .52243 .90325 .50316 Metetra 1 g .30867 .60666 .32028 .61406 .3362 .64298 .32491 .62969 Metetra 1 g .32491 .62969 .3362 .64298 .35381 .64866 .34254 .6353 Metetra 1 g .34254 .6353 .35381 .64866 .37205 .64602 .36073 .63466 Metetra 1 g .36073 .63466 .37205 .64602 .39046 .64307 .37912 .63368 Metetra 1 g .37912 .63368 .39046 .64307 .40894 .64301 .39763 .63463 Metetra 1 g .39763 .63463 .40894 .64301 .42752 .64606 .41628 .63756 Metetra 1 g .41628 .63756 .42752 .64606 .4463 .65091 .43515 .64141 Metetra 1 g .43515 .64141 .4463 .65091 .46534 .65571 .45427 .64472 Metetra 1 g .45427 .64472 .46534 .65571 .48467 .65872 .47368 .64619 Metetra 1 g .47368 .64619 .48467 .65872 .50426 .65872 .49335 .64496 Metetra 1 g .49335 .64496 .50426 .65872 .52406 .65523 .51323 .64077 Metetra 1 g .51323 .64077 .52406 .65523 .54402 .64853 .53327 .63393 Metetra 1 g .53327 .63393 .54402 .64853 .5641 .63948 .55343 .62522 Metetra 1 g .55343 .62522 .5641 .63948 .58426 .62931 .57371 .61567 Metetra 1 g .57371 .61567 .58426 .62931 .60454 .61937 .5941 .60638 Metetra 1 g .5941 .60638 .60454 .61937 .62497 .61085 .61464 .59831 Metetra 1 g .61464 .59831 .62497 .61085 .6456 .60454 .63538 .59206 Metetra 1 g .63538 .59206 .6456 .60454 .6665 .60071 .65636 .58781 Metetra 1 g .65636 .58781 .6665 .60071 .68771 .59902 .67761 .58521 Metetra 1 g .67761 .58521 .68771 .59902 .7092 .59846 .69912 .58339 Metetra 1 g .69912 .58339 .7092 .59846 .73091 .59753 .72083 .58109 Metetra 1 g .72083 .58109 .73091 .59753 .75271 .5944 .74263 .57676 Metetra 1 g .74263 .57676 .75271 .5944 .77441 .58728 .76438 .56895 Metetra 1 g .76438 .56895 .77441 .58728 .79584 .57493 .78591 .55663 Metetra 1 g .78591 .55663 .79584 .57493 .81688 .5572 .80714 .53973 Metetra 1 g .80714 .53973 .81688 .5572 .83756 .5357 .82809 .51959 Metetra 1 g .82809 .51959 .83756 .5357 .85823 .51435 .84903 .4995 Metetra 1 g .84903 .4995 .85823 .51435 .87965 .49998 .87059 .48514 Metetra 1 g .87059 .48514 .87965 .49998 .90325 .50316 .89393 .48529 Metetra 1 g .29682 .60012 .30867 .60666 .32491 .62969 .31355 .61524 Metetra 1 g .31355 .61524 .32491 .62969 .34254 .6353 .33119 .62084 Metetra 1 g .33119 .62084 .34254 .6353 .36073 .63466 .34928 .6228 Metetra 1 g .34928 .6228 .36073 .63466 .37912 .63368 .36761 .62422 Metetra 1 g .36761 .62422 .37912 .63368 .39763 .63463 .38614 .62627 Metetra 1 g .38614 .62627 .39763 .63463 .41628 .63756 .40487 .62891 Metetra 1 g .40487 .62891 .41628 .63756 .43515 .64141 .42384 .63147 Metetra 1 g .42384 .63147 .43515 .64141 .45427 .64472 .44307 .6331 Metetra 1 g .44307 .6331 .45427 .64472 .47368 .64619 .46257 .63303 Metetra 1 g .46257 .63303 .47368 .64619 .49335 .64496 .48231 .63079 Metetra 1 g .48231 .63079 .49335 .64496 .51323 .64077 .50226 .62627 Metetra 1 g .50226 .62627 .51323 .64077 .53327 .63393 .52238 .61971 Metetra 1 g .52238 .61971 .53327 .63393 .55343 .62522 .54264 .61169 Metetra 1 g .54264 .61169 .55343 .62522 .57371 .61567 .56303 .60296 Metetra 1 g .56303 .60296 .57371 .61567 .5941 .60638 .58354 .5943 Metetra 1 g .58354 .5943 .5941 .60638 .61464 .59831 .60419 .58645 Metetra 1 g .60419 .58645 .61464 .59831 .63538 .59206 .62503 .57987 Metetra 1 g .62503 .57987 .63538 .59206 .65636 .58781 .64609 .57476 Metetra 1 g .64609 .57476 .65636 .58781 .67761 .58521 .66738 .5709 Metetra 1 g .66738 .5709 .67761 .58521 .69912 .58339 .6889 .56766 Metetra 1 g .6889 .56766 .69912 .58339 .72083 .58109 .71062 .56408 Metetra 1 g .71062 .56408 .72083 .58109 .74263 .57676 .73245 .55892 Metetra 1 g .73245 .55892 .74263 .57676 .76438 .56895 .75427 .55092 Metetra 1 g .75427 .55092 .76438 .56895 .78591 .55663 .77595 .53914 Metetra 1 g .77595 .53914 .78591 .55663 .80714 .53973 .7974 .52332 Metetra 1 g .7974 .52332 .80714 .53973 .82809 .51959 .8186 .50444 Metetra 1 g .8186 .50444 .82809 .51959 .84903 .4995 .83979 .48529 Metetra 1 g .83979 .48529 .84903 .4995 .87059 .48514 .86151 .47108 Metetra 1 g .86151 .47108 .87059 .48514 .89393 .48529 .88488 .47038 Metetra 1 g .28476 .59389 .29682 .60012 .31355 .61524 .30203 .60126 Metetra 1 g .30203 .60126 .31355 .61524 .33119 .62084 .31968 .60692 Metetra 1 g .31968 .60692 .33119 .62084 .34928 .6228 .33766 .61136 Metetra 1 g .33766 .61136 .34928 .6228 .36761 .62422 .35593 .61496 Metetra 1 g .35593 .61496 .36761 .62422 .38614 .62627 .37447 .61788 Metetra 1 g .37447 .61788 .38614 .62627 .40487 .62891 .39329 .62008 Metetra 1 g .39329 .62008 .40487 .62891 .42384 .63147 .41237 .62137 Metetra 1 g .41237 .62137 .42384 .63147 .44307 .6331 .43171 .62152 Metetra 1 g .43171 .62152 .44307 .6331 .46257 .63303 .4513 .62026 Metetra 1 g .4513 .62026 .46257 .63303 .48231 .63079 .47113 .61741 Metetra 1 g .47113 .61741 .48231 .63079 .50226 .62627 .49115 .61293 Metetra 1 g .49115 .61293 .50226 .62627 .52238 .61971 .51136 .60695 Metetra 1 g .51136 .60695 .52238 .61971 .54264 .61169 .53172 .59976 Metetra 1 g .53172 .59976 .54264 .61169 .56303 .60296 .55222 .5918 Metetra 1 g .55222 .5918 .56303 .60296 .58354 .5943 .57285 .58358 Metetra 1 g .57285 .58358 .58354 .5943 .60419 .58645 .59363 .57565 Metetra 1 g .59363 .57565 .60419 .58645 .62503 .57987 .61457 .56845 Metetra 1 g .61457 .56845 .62503 .57987 .64609 .57476 .6357 .56226 Metetra 1 g .6357 .56226 .64609 .57476 .66738 .5709 .65704 .55707 Metetra 1 g .65704 .55707 .66738 .5709 .6889 .56766 .6786 .55256 Metetra 1 g .6786 .55256 .6889 .56766 .71062 .56408 .70036 .54805 Metetra 1 g .70036 .54805 .71062 .56408 .73245 .55892 .72226 .54252 Metetra 1 g .72226 .54252 .73245 .55892 .75427 .55092 .7442 .53481 Metetra 1 g .7442 .53481 .75427 .55092 .77595 .53914 .76606 .52384 Metetra 1 g .76606 .52384 .77595 .53914 .7974 .52332 .78773 .50905 Metetra 1 g .78773 .50905 .7974 .52332 .8186 .50444 .80917 .49104 Metetra 1 g .80917 .49104 .8186 .50444 .83979 .48529 .83057 .47232 Metetra 1 g .83057 .47232 .83979 .48529 .86151 .47108 .85247 .45832 Metetra 1 g .85247 .45832 .86151 .47108 .88488 .47038 .8761 .4588 Metetra 1 g .27252 .58722 .28476 .59389 .30203 .60126 .29023 .58916 Metetra 1 g .29023 .58916 .30203 .60126 .31968 .60692 .3079 .59489 Metetra 1 g .3079 .59489 .31968 .60692 .33766 .61136 .32581 .60098 Metetra 1 g .32581 .60098 .33766 .61136 .35593 .61496 .34405 .60588 Metetra 1 g .34405 .60588 .35593 .61496 .37447 .61788 .36264 .60915 Metetra 1 g .36264 .60915 .37447 .61788 .39329 .62008 .38155 .61084 Metetra 1 g .38155 .61084 .39329 .62008 .41237 .62137 .40073 .61119 Metetra 1 g .40073 .61119 .41237 .62137 .43171 .62152 .42018 .61039 Metetra 1 g .42018 .61039 .43171 .62152 .4513 .62026 .43986 .60854 Metetra 1 g .43986 .60854 .4513 .62026 .47113 .61741 .45976 .6056 Metetra 1 g .45976 .6056 .47113 .61741 .49115 .61293 .47988 .60149 Metetra 1 g .47988 .60149 .49115 .61293 .51136 .60695 .50018 .59618 Metetra 1 g .50018 .59618 .51136 .60695 .53172 .59976 .52065 .58969 Metetra 1 g .52065 .58969 .53172 .59976 .55222 .5918 .54127 .58224 Metetra 1 g .54127 .58224 .55222 .5918 .57285 .58358 .56203 .57414 Metetra 1 g .56203 .57414 .57285 .58358 .59363 .57565 .58293 .56586 Metetra 1 g .58293 .56586 .59363 .57565 .61457 .56845 .60397 .55788 Metetra 1 g .60397 .55788 .61457 .56845 .6357 .56226 .62519 .55064 Metetra 1 g .62519 .55064 .6357 .56226 .65704 .55707 .64661 .54436 Metetra 1 g .64661 .54436 .65704 .55707 .6786 .55256 .66824 .53898 Metetra 1 g .66824 .53898 .6786 .55256 .70036 .54805 .69008 .53402 Metetra 1 g .69008 .53402 .70036 .54805 .72226 .54252 .7121 .52859 Metetra 1 g .7121 .52859 .72226 .54252 .7442 .53481 .7342 .52145 Metetra 1 g .7342 .52145 .7442 .53481 .76606 .52384 .75627 .51132 Metetra 1 g .75627 .51132 .76606 .52384 .78773 .50905 .77815 .49728 Metetra 1 g .77815 .49728 .78773 .50905 .80917 .49104 .79979 .47961 Metetra 1 g .79979 .47961 .80917 .49104 .83057 .47232 .82136 .46078 Metetra 1 g .82136 .46078 .83057 .47232 .85247 .45832 .84345 .44694 Metetra 1 g .84345 .44694 .85247 .45832 .8761 .4588 .86749 .44987 Metetra 1 g .26018 .57942 .27252 .58722 .29023 .58916 .27806 .57979 Metetra 1 g .27806 .57979 .29023 .58916 .3079 .59489 .29577 .58556 Metetra 1 g .29577 .58556 .3079 .59489 .32581 .60098 .3137 .59193 Metetra 1 g .3137 .59193 .32581 .60098 .34405 .60588 .33199 .59683 Metetra 1 g .33199 .59683 .34405 .60588 .36264 .60915 .35066 .59975 Metetra 1 g .35066 .59975 .36264 .60915 .38155 .61084 .36965 .60094 Metetra 1 g .36965 .60094 .38155 .61084 .40073 .61119 .38893 .60087 Metetra 1 g .38893 .60087 .40073 .61119 .42018 .61039 .40845 .59989 Metetra 1 g .40845 .59989 .42018 .61039 .43986 .60854 .42821 .59817 Metetra 1 g .42821 .59817 .43986 .60854 .45976 .6056 .4482 .59563 Metetra 1 g .4482 .59563 .45976 .6056 .47988 .60149 .4684 .59209 Metetra 1 g .4684 .59209 .47988 .60149 .50018 .59618 .48881 .58732 Metetra 1 g .48881 .58732 .50018 .59618 .52065 .58969 .5094 .58121 Metetra 1 g .5094 .58121 .52065 .58969 .54127 .58224 .53015 .57385 Metetra 1 g .53015 .57385 .54127 .58224 .56203 .57414 .55104 .5655 Metetra 1 g .55104 .5655 .56203 .57414 .58293 .56586 .57207 .55666 Metetra 1 g .57207 .55666 .58293 .56586 .60397 .55788 .59323 .54794 Metetra 1 g .59323 .54794 .60397 .55788 .62519 .55064 .61456 .53991 Metetra 1 g .61456 .53991 .62519 .55064 .64661 .54436 .63608 .53299 Metetra 1 g .63608 .53299 .64661 .54436 .66824 .53898 .65782 .52728 Metetra 1 g .65782 .52728 .66824 .53898 .69008 .53402 .67979 .52238 Metetra 1 g .67979 .52238 .69008 .53402 .7121 .52859 .70197 .51739 Metetra 1 g .70197 .51739 .7121 .52859 .7342 .52145 .72425 .51092 Metetra 1 g .72425 .51092 .7342 .52145 .75627 .51132 .74652 .50141 Metetra 1 g .74652 .50141 .75627 .51132 .77815 .49728 .7686 .48767 Metetra 1 g .7686 .48767 .77815 .49728 .79979 .47961 .79042 .46979 Metetra 1 g .79042 .46979 .79979 .47961 .82136 .46078 .81214 .45045 Metetra 1 g .81214 .45045 .82136 .46078 .84345 .44694 .83442 .43664 Metetra 1 g .83442 .43664 .84345 .44694 .86749 .44987 .85889 .44224 Metetra 1 g .24777 .57007 .26018 .57942 .27806 .57979 .26549 .57324 Metetra 1 g .26549 .57324 .27806 .57979 .29577 .58556 .28324 .57898 Metetra 1 g .28324 .57898 .29577 .58556 .3137 .59193 .30131 .58412 Metetra 1 g .30131 .58412 .3137 .59193 .33199 .59683 .31975 .58761 Metetra 1 g .31975 .58761 .33199 .59683 .35066 .59975 .33854 .58952 Metetra 1 g .33854 .58952 .35066 .59975 .36965 .60094 .35761 .5903 Metetra 1 g .35761 .5903 .36965 .60094 .38893 .60087 .37695 .59039 Metetra 1 g .37695 .59039 .38893 .60087 .40845 .59989 .39653 .59 Metetra 1 g .39653 .59 .40845 .59989 .42821 .59817 .41635 .58906 Metetra 1 g .41635 .58906 .42821 .59817 .4482 .59563 .43641 .58729 Metetra 1 g .43641 .58729 .4482 .59563 .4684 .59209 .45671 .58431 Metetra 1 g .45671 .58431 .4684 .59209 .48881 .58732 .47723 .57981 Metetra 1 g .47723 .57981 .48881 .58732 .5094 .58121 .49795 .57363 Metetra 1 g .49795 .57363 .5094 .58121 .53015 .57385 .51884 .56589 Metetra 1 g .51884 .56589 .53015 .57385 .55104 .5655 .53987 .55696 Metetra 1 g .53987 .55696 .55104 .5655 .57207 .55666 .56103 .54749 Metetra 1 g .56103 .54749 .57207 .55666 .59323 .54794 .58233 .5382 Metetra 1 g .58233 .5382 .59323 .54794 .61456 .53991 .60379 .52981 Metetra 1 g .60379 .52981 .61456 .53991 .63608 .53299 .62544 .52282 Metetra 1 g .62544 .52282 .63608 .53299 .65782 .52728 .64732 .51734 Metetra 1 g .64732 .51734 .65782 .52728 .67979 .52238 .66945 .51292 Metetra 1 g .66945 .51292 .67979 .52238 .70197 .51739 .6918 .50851 Metetra 1 g .6918 .50851 .70197 .51739 .72425 .51092 .71428 .50255 Metetra 1 g .71428 .50255 .72425 .51092 .74652 .50141 .73673 .49327 Metetra 1 g .73673 .49327 .74652 .50141 .7686 .48767 .759 .47933 Metetra 1 g .759 .47933 .7686 .48767 .79042 .46979 .78097 .46082 Metetra 1 g .78097 .46082 .79042 .46979 .81214 .45045 .80283 .44072 Metetra 1 g .80283 .44072 .81214 .45045 .83442 .43664 .82528 .42676 Metetra 1 g .82528 .42676 .83442 .43664 .85889 .44224 .8501 .43427 Metetra 1 g .2353 .55918 .24777 .57007 .26549 .57324 .25251 .56883 Metetra 1 g .25251 .56883 .26549 .57324 .28324 .57898 .27034 .57447 Metetra 1 g .27034 .57447 .28324 .57898 .30131 .58412 .28866 .57715 Metetra 1 g .28866 .57715 .30131 .58412 .31975 .58761 .30733 .57818 Metetra 1 g .30733 .57818 .31975 .58761 .33854 .58952 .32627 .57861 Metetra 1 g .32627 .57861 .33854 .58952 .35761 .5903 .34542 .57911 Metetra 1 g .34542 .57911 .35761 .5903 .37695 .59039 .36479 .57984 Metetra 1 g .36479 .57984 .37695 .59039 .39653 .59 .3844 .58057 Metetra 1 g .3844 .58057 .39653 .59 .41635 .58906 .40426 .58081 Metetra 1 g .40426 .58081 .41635 .58906 .43641 .58729 .42439 .57991 Metetra 1 g .42439 .57991 .43641 .58729 .45671 .58431 .4448 .57733 Metetra 1 g .4448 .57733 .45671 .58431 .47723 .57981 .46544 .57271 Metetra 1 g .46544 .57271 .47723 .57981 .49795 .57363 .4863 .56599 Metetra 1 g .4863 .56599 .49795 .57363 .51884 .56589 .50734 .55748 Metetra 1 g .50734 .55748 .51884 .56589 .53987 .55696 .52851 .54778 Metetra 1 g .52851 .54778 .53987 .55696 .56103 .54749 .54981 .53772 Metetra 1 g .54981 .53772 .56103 .54749 .58233 .5382 .57124 .52816 Metetra 1 g .57124 .52816 .58233 .5382 .60379 .52981 .59284 .51989 Metetra 1 g .59284 .51989 .60379 .52981 .62544 .52282 .61464 .51336 Metetra 1 g .61464 .51336 .62544 .52282 .64732 .51734 .63669 .50854 Metetra 1 g .63669 .50854 .64732 .51734 .66945 .51292 .659 .50481 Metetra 1 g .659 .50481 .66945 .51292 .6918 .50851 .68153 .50093 Metetra 1 g .68153 .50093 .6918 .50851 .71428 .50255 .70419 .49516 Metetra 1 g .70419 .49516 .71428 .50255 .73673 .49327 .72681 .48562 Metetra 1 g .72681 .48562 .73673 .49327 .759 .47933 .74923 .47101 Metetra 1 g .74923 .47101 .759 .47933 .78097 .46082 .77134 .45161 Metetra 1 g .77134 .45161 .78097 .46082 .80283 .44072 .79334 .43072 Metetra 1 g .79334 .43072 .80283 .44072 .82528 .42676 .81596 .41645 Metetra 1 g .81596 .41645 .82528 .42676 .8501 .43427 .84096 .42443 Metetra 1 g .22275 .54725 .2353 .55918 .25251 .56883 .23923 .56518 Metetra 1 g .23923 .56518 .25251 .56883 .27034 .57447 .25714 .5707 Metetra 1 g .25714 .5707 .27034 .57447 .28866 .57715 .27577 .57044 Metetra 1 g .27577 .57044 .28866 .57715 .30733 .57818 .29472 .56862 Metetra 1 g .29472 .56862 .30733 .57818 .32627 .57861 .31382 .5675 Metetra 1 g .31382 .5675 .32627 .57861 .34542 .57911 .33305 .56784 Metetra 1 g .33305 .56784 .34542 .57911 .36479 .57984 .35244 .56942 Metetra 1 g .35244 .56942 .36479 .57984 .3844 .58057 .37205 .57141 Metetra 1 g .37205 .57141 .3844 .58057 .40426 .58081 .39195 .57278 Metetra 1 g .39195 .57278 .40426 .58081 .42439 .57991 .41216 .57255 Metetra 1 g .41216 .57255 .42439 .57991 .4448 .57733 .43268 .57001 Metetra 1 g .43268 .57001 .4448 .57733 .46544 .57271 .45346 .56487 Metetra 1 g .45346 .56487 .46544 .57271 .4863 .56599 .47447 .55727 Metetra 1 g .47447 .55727 .4863 .56599 .50734 .55748 .49565 .5478 Metetra 1 g .49565 .5478 .50734 .55748 .52851 .54778 .51696 .53731 Metetra 1 g .51696 .53731 .52851 .54778 .54981 .53772 .5384 .52685 Metetra 1 g .5384 .52685 .54981 .53772 .57124 .52816 .55997 .51737 Metetra 1 g .55997 .51737 .57124 .52816 .59284 .51989 .58171 .50961 Metetra 1 g .58171 .50961 .59284 .51989 .61464 .51336 .60367 .50387 Metetra 1 g .60367 .50387 .61464 .51336 .63669 .50854 .62589 .49991 Metetra 1 g .62589 .49991 .63669 .50854 .659 .50481 .64837 .49686 Metetra 1 g .64837 .49686 .659 .50481 .68153 .50093 .67107 .49324 Metetra 1 g .67107 .49324 .68153 .50093 .70419 .49516 .69388 .48722 Metetra 1 g .69388 .48722 .70419 .49516 .72681 .48562 .71665 .47695 Metetra 1 g .71665 .47695 .72681 .48562 .74923 .47101 .73919 .46135 Metetra 1 g .73919 .46135 .74923 .47101 .77134 .45161 .76145 .441 Metetra 1 g .76145 .441 .77134 .45161 .79334 .43072 .7836 .41945 Metetra 1 g .7836 .41945 .79334 .43072 .81596 .41645 .80636 .40473 Metetra 1 g .80636 .40473 .81596 .41645 .84096 .42443 .83139 .41163 Metetra 1 g .21003 .53512 .22275 .54725 .23923 .56518 .22579 .56048 Metetra 1 g .22579 .56048 .23923 .56518 .25714 .5707 .24376 .56599 Metetra 1 g .24376 .56599 .25714 .5707 .27577 .57044 .26268 .56329 Metetra 1 g .26268 .56329 .27577 .57044 .29472 .56862 .2819 .55919 Metetra 1 g .2819 .55919 .29472 .56862 .31382 .5675 .30115 .5569 Metetra 1 g .30115 .5569 .31382 .5675 .33305 .56784 .32045 .55719 Metetra 1 g .32045 .55719 .33305 .56784 .35244 .56942 .33986 .55943 Metetra 1 g .33986 .55943 .35244 .56942 .37205 .57141 .3595 .56227 Metetra 1 g .3595 .56227 .37205 .57141 .39195 .57278 .37945 .56425 Metetra 1 g .37945 .56425 .39195 .57278 .41216 .57255 .39975 .56413 Metetra 1 g .39975 .56413 .41216 .57255 .43268 .57001 .42039 .56117 Metetra 1 g .42039 .56117 .43268 .57001 .45346 .56487 .44132 .55518 Metetra 1 g .44132 .55518 .45346 .56487 .47447 .55727 .46247 .54657 Metetra 1 g .46247 .54657 .47447 .55727 .49565 .5478 .48379 .53619 Metetra 1 g .48379 .53619 .49565 .5478 .51696 .53731 .50523 .52514 Metetra 1 g .50523 .52514 .51696 .53731 .5384 .52685 .5268 .51456 Metetra 1 g .5268 .51456 .5384 .52685 .55997 .51737 .5485 .50545 Metetra 1 g .5485 .50545 .55997 .51737 .58171 .50961 .57038 .4984 Metetra 1 g .57038 .4984 .58171 .50961 .60367 .50387 .59249 .49352 Metetra 1 g .59249 .49352 .60367 .50387 .62589 .49991 .61487 .49031 Metetra 1 g .61487 .49031 .62589 .49991 .64837 .49686 .6375 .48763 Metetra 1 g .6375 .48763 .64837 .49686 .67107 .49324 .66035 .48387 Metetra 1 g .66035 .48387 .67107 .49324 .69388 .48722 .68329 .47715 Metetra 1 g .68329 .47715 .69388 .48722 .71665 .47695 .70616 .46582 Metetra 1 g .70616 .46582 .71665 .47695 .73919 .46135 .72882 .44911 Metetra 1 g .72882 .44911 .73919 .46135 .76145 .441 .75121 .42794 Metetra 1 g .75121 .42794 .76145 .441 .7836 .41945 .77352 .40597 Metetra 1 g .77352 .40597 .7836 .41945 .80636 .40473 .79642 .39077 Metetra 1 g .79642 .39077 .80636 .40473 .83139 .41163 .82134 .39543 Metetra 1 g .19704 .52382 .21003 .53512 .22579 .56048 .21236 .55295 Metetra 1 g .21236 .55295 .22579 .56048 .24376 .56599 .23037 .55869 Metetra 1 g .23037 .55869 .24376 .56599 .26268 .56329 .24945 .55512 Metetra 1 g .24945 .55512 .26268 .56329 .2819 .55919 .26882 .55025 Metetra 1 g .26882 .55025 .2819 .55919 .30115 .5569 .28819 .54759 Metetra 1 g .28819 .54759 .30115 .5569 .32045 .55719 .30755 .54786 Metetra 1 g .30755 .54786 .32045 .55719 .33986 .55943 .32703 .55016 Metetra 1 g .32703 .55016 .33986 .55943 .3595 .56227 .34675 .55291 Metetra 1 g .34675 .55291 .3595 .56227 .37945 .56425 .3668 .5545 Metetra 1 g .3668 .5545 .37945 .56425 .39975 .56413 .38721 .55366 Metetra 1 g .38721 .55366 .39975 .56413 .42039 .56117 .40798 .54975 Metetra 1 g .40798 .54975 .42039 .56117 .44132 .55518 .42904 .54275 Metetra 1 g .42904 .54275 .44132 .55518 .46247 .54657 .45033 .53328 Metetra 1 g .45033 .53328 .46247 .54657 .48379 .53619 .47177 .52233 Metetra 1 g .47177 .52233 .48379 .53619 .50523 .52514 .49334 .51111 Metetra 1 g .49334 .51111 .50523 .52514 .5268 .51456 .51503 .50076 Metetra 1 g .51503 .50076 .5268 .51456 .5485 .50545 .53685 .49218 Metetra 1 g .53685 .49218 .5485 .50545 .57038 .4984 .55886 .48581 Metetra 1 g .55886 .48581 .57038 .4984 .59249 .49352 .5811 .48152 Metetra 1 g .5811 .48152 .59249 .49352 .61487 .49031 .6036 .47861 Metetra 1 g .6036 .47861 .61487 .49031 .6375 .48763 .62636 .47579 Metetra 1 g .62636 .47579 .6375 .48763 .66035 .48387 .64931 .4714 Metetra 1 g .64931 .4714 .66035 .48387 .68329 .47715 .67234 .46366 Metetra 1 g .67234 .46366 .68329 .47715 .70616 .46582 .69531 .45115 Metetra 1 g .69531 .45115 .70616 .46582 .72882 .44911 .71807 .43342 Metetra 1 g .71807 .43342 .72882 .44911 .75121 .42794 .74059 .41168 Metetra 1 g .74059 .41168 .75121 .42794 .77352 .40597 .76307 .38956 Metetra 1 g .76307 .38956 .77352 .40597 .79642 .39077 .78608 .37393 Metetra 1 g .78608 .37393 .79642 .39077 .82134 .39543 .81086 .37606 Metetra 1 g .18366 .51427 .19704 .52382 .21236 .55295 .19912 .54132 Metetra 1 g .19912 .54132 .21236 .55295 .23037 .55869 .2171 .54762 Metetra 1 g .2171 .54762 .23037 .55869 .24945 .55512 .23611 .54557 Metetra 1 g .23611 .54557 .24945 .55512 .26882 .55025 .25545 .54209 Metetra 1 g .25545 .54209 .26882 .55025 .28819 .54759 .27485 .54017 Metetra 1 g .27485 .54017 .28819 .54759 .30755 .54786 .29431 .54033 Metetra 1 g .29431 .54033 .30755 .54786 .32703 .55016 .31393 .54175 Metetra 1 g .31393 .54175 .32703 .55016 .34675 .55291 .3338 .54307 Metetra 1 g .3338 .54307 .34675 .55291 .3668 .5545 .35402 .54295 Metetra 1 g .35402 .54295 .3668 .5545 .38721 .55366 .37459 .54044 Metetra 1 g .37459 .54044 .38721 .55366 .40798 .54975 .3955 .53511 Metetra 1 g .3955 .53511 .40798 .54975 .42904 .54275 .41669 .52713 Metetra 1 g .41669 .52713 .42904 .54275 .45033 .53328 .43808 .51718 Metetra 1 g .43808 .51718 .45033 .53328 .47177 .52233 .45963 .50622 Metetra 1 g .45963 .50622 .47177 .52233 .49334 .51111 .4813 .49535 Metetra 1 g .4813 .49535 .49334 .51111 .51503 .50076 .50309 .48554 Metetra 1 g .50309 .48554 .51503 .50076 .53685 .49218 .52502 .4775 Metetra 1 g .52502 .4775 .53685 .49218 .55886 .48581 .54714 .47148 Metetra 1 g .54714 .47148 .55886 .48581 .5811 .48152 .56948 .46724 Metetra 1 g .56948 .46724 .5811 .48152 .6036 .47861 .59208 .46396 Metetra 1 g .59208 .46396 .6036 .47861 .62636 .47579 .61493 .46038 Metetra 1 g .61493 .46038 .62636 .47579 .64931 .4714 .63795 .45492 Metetra 1 g .63795 .45492 .64931 .4714 .67234 .46366 .66105 .44599 Metetra 1 g .66105 .44599 .67234 .46366 .69531 .45115 .68409 .43243 Metetra 1 g .68409 .43243 .69531 .45115 .71807 .43342 .70695 .41399 Metetra 1 g .70695 .41399 .71807 .43342 .74059 .41168 .72961 .392 Metetra 1 g .72961 .392 .74059 .41168 .76307 .38956 .75224 .36992 Metetra 1 g .75224 .36992 .76307 .38956 .78608 .37393 .77537 .35403 Metetra 1 g .77537 .35403 .78608 .37393 .81086 .37606 .80007 .35436 Metetra 1 g .16981 .50693 .18366 .51427 .19912 .54132 .18613 .52534 Metetra 1 g .18613 .52534 .19912 .54132 .2171 .54762 .20401 .53259 Metetra 1 g .20401 .53259 .2171 .54762 .23611 .54557 .22268 .53463 Metetra 1 g .22268 .53463 .23611 .54557 .25545 .54209 .24176 .53483 Metetra 1 g .24176 .53483 .25545 .54209 .27485 .54017 .26111 .5347 Metetra 1 g .26111 .5347 .27485 .54017 .29431 .54033 .28069 .53454 Metetra 1 g .28069 .53454 .29431 .54033 .31393 .54175 .30054 .53399 Metetra 1 g .30054 .53399 .31393 .54175 .3338 .54307 .32069 .53244 Metetra 1 g .32069 .53244 .3338 .54307 .35402 .54295 .34115 .52931 Metetra 1 g .34115 .52931 .35402 .54295 .37459 .54044 .36193 .52424 Metetra 1 g .36193 .52424 .37459 .54044 .3955 .53511 .38299 .51719 Metetra 1 g .38299 .51719 .3955 .53511 .41669 .52713 .40428 .50844 Metetra 1 g .40428 .50844 .41669 .52713 .43808 .51718 .42575 .49854 Metetra 1 g .42575 .49854 .43808 .51718 .45963 .50622 .44737 .48819 Metetra 1 g .44737 .48819 .45963 .50622 .4813 .49535 .46912 .47816 Metetra 1 g .46912 .47816 .4813 .49535 .50309 .48554 .491 .46909 Metetra 1 g .491 .46909 .50309 .48554 .52502 .4775 .51303 .46142 Metetra 1 g .51303 .46142 .52502 .4775 .54714 .47148 .53524 .45527 Metetra 1 g .53524 .45527 .54714 .47148 .56948 .46724 .55767 .45036 Metetra 1 g .55767 .45036 .56948 .46724 .59208 .46396 .58034 .44597 Metetra 1 g .58034 .44597 .59208 .46396 .61493 .46038 .60324 .44104 Metetra 1 g .60324 .44104 .61493 .46038 .63795 .45492 .6263 .43422 Metetra 1 g .6263 .43422 .63795 .45492 .66105 .44599 .64945 .42418 Metetra 1 g .64945 .42418 .66105 .44599 .68409 .43243 .67256 .4099 Metetra 1 g .67256 .4099 .68409 .43243 .70695 .41399 .69552 .39118 Metetra 1 g .69552 .39118 .70695 .41399 .72961 .392 .7183 .36922 Metetra 1 g .7183 .36922 .72961 .392 .75224 .36992 .74108 .34725 Metetra 1 g .74108 .34725 .75224 .36992 .77537 .35403 .76432 .33134 Metetra 1 g .76432 .33134 .77537 .35403 .80007 .35436 .78906 .33145 Metetra 1 g .15549 .5015 .16981 .50693 .18613 .52534 .17332 .5062 Metetra 1 g .17332 .5062 .18613 .52534 .20401 .53259 .19104 .51466 Metetra 1 g .19104 .51466 .20401 .53259 .22268 .53463 .20912 .52268 Metetra 1 g .20912 .52268 .22268 .53463 .24176 .53483 .22777 .52819 Metetra 1 g .22777 .52819 .24176 .53483 .26111 .5347 .24699 .53049 Metetra 1 g .24699 .53049 .26111 .5347 .28069 .53454 .26674 .52967 Metetra 1 g .26674 .52967 .28069 .53454 .30054 .53399 .28691 .5262 Metetra 1 g .28691 .5262 .30054 .53399 .32069 .53244 .30743 .52064 Metetra 1 g .30743 .52064 .32069 .53244 .34115 .52931 .32822 .51357 Metetra 1 g .32822 .51357 .34115 .52931 .36193 .52424 .34924 .50543 Metetra 1 g .34924 .50543 .36193 .52424 .38299 .51719 .37044 .49661 Metetra 1 g .37044 .49661 .38299 .51719 .40428 .50844 .39181 .48739 Metetra 1 g .39181 .48739 .40428 .50844 .42575 .49854 .41333 .47803 Metetra 1 g .41333 .47803 .42575 .49854 .44737 .48819 .43499 .46879 Metetra 1 g .43499 .46879 .44737 .48819 .46912 .47816 .4568 .4599 Metetra 1 g .4568 .4599 .46912 .47816 .491 .46909 .47876 .45159 Metetra 1 g .47876 .45159 .491 .46909 .51303 .46142 .50088 .44401 Metetra 1 g .50088 .44401 .51303 .46142 .53524 .45527 .52318 .43719 Metetra 1 g .52318 .43719 .53524 .45527 .55767 .45036 .54569 .43096 Metetra 1 g .54569 .43096 .55767 .45036 .58034 .44597 .56841 .42487 Metetra 1 g .56841 .42487 .58034 .44597 .60324 .44104 .59133 .41822 Metetra 1 g .59133 .41822 .60324 .44104 .6263 .43422 .61442 .41 Metetra 1 g .61442 .41 .6263 .43422 .64945 .42418 .63761 .39911 Metetra 1 g .63761 .39911 .64945 .42418 .67256 .4099 .66079 .38456 Metetra 1 g .66079 .38456 .67256 .4099 .69552 .39118 .68385 .36598 Metetra 1 g .68385 .36598 .69552 .39118 .7183 .36922 .70676 .34424 Metetra 1 g .70676 .34424 .7183 .36922 .74108 .34725 .72966 .32235 Metetra 1 g .72966 .32235 .74108 .34725 .76432 .33134 .75301 .30663 Metetra 1 g .75301 .30663 .76432 .33134 .78906 .33145 .77795 .30844 Metetra 1 g .1408 .49672 .15549 .5015 .17332 .5062 .16042 .48655 Metetra 1 g .16042 .48655 .17332 .5062 .19104 .51466 .17796 .49626 Metetra 1 g .17796 .49626 .19104 .51466 .20912 .52268 .19537 .51048 Metetra 1 g .19537 .51048 .20912 .52268 .22777 .52819 .21352 .52135 Metetra 1 g .21352 .52135 .22777 .52819 .24699 .53049 .23262 .52586 Metetra 1 g .23262 .52586 .24699 .53049 .26674 .52967 .25256 .52395 Metetra 1 g .25256 .52395 .26674 .52967 .28691 .5262 .27313 .51707 Metetra 1 g .27313 .51707 .28691 .5262 .30743 .52064 .29407 .50719 Metetra 1 g .29407 .50719 .30743 .52064 .32822 .51357 .31522 .49605 Metetra 1 g .31522 .49605 .32822 .51357 .34924 .50543 .33649 .48495 Metetra 1 g .33649 .48495 .34924 .50543 .37044 .49661 .35784 .4746 Metetra 1 g .35784 .4746 .37044 .49661 .39181 .48739 .37927 .4652 Metetra 1 g .37927 .4652 .39181 .48739 .41333 .47803 .40081 .45665 Metetra 1 g .40081 .45665 .41333 .47803 .43499 .46879 .42249 .44863 Metetra 1 g .42249 .44863 .43499 .46879 .4568 .4599 .44434 .44086 Metetra 1 g .44434 .44086 .4568 .4599 .47876 .45159 .46637 .4331 Metetra 1 g .46637 .4331 .47876 .45159 .50088 .44401 .48858 .42527 Metetra 1 g .48858 .42527 .50088 .44401 .52318 .43719 .51097 .41739 Metetra 1 g .51097 .41739 .52318 .43719 .54569 .43096 .53355 .40951 Metetra 1 g .53355 .40951 .54569 .43096 .56841 .42487 .55631 .40154 Metetra 1 g .55631 .40154 .56841 .42487 .59133 .41822 .57927 .39318 Metetra 1 g .57927 .39318 .59133 .41822 .61442 .41 .60239 .3838 Metetra 1 g .60239 .3838 .61442 .41 .63761 .39911 .62562 .37243 Metetra 1 g .62562 .37243 .63761 .39911 .66079 .38456 .64887 .35802 Metetra 1 g .64887 .35802 .66079 .38456 .68385 .36598 .67205 .33986 Metetra 1 g .67205 .33986 .68385 .36598 .70676 .34424 .69508 .3184 Metetra 1 g .69508 .3184 .70676 .34424 .72966 .32235 .71808 .2965 Metetra 1 g .71808 .2965 .72966 .32235 .75301 .30663 .74155 .28112 Metetra 1 g .74155 .28112 .75301 .30663 .77795 .30844 .76679 .28601 Metetra 1 g .12603 .49033 .1408 .49672 .16042 .48655 .14698 .47013 Metetra 1 g .14698 .47013 .16042 .48655 .17796 .49626 .16438 .48075 Metetra 1 g .16438 .48075 .17796 .49626 .19537 .51048 .18133 .49895 Metetra 1 g .18133 .49895 .19537 .51048 .21352 .52135 .19916 .51294 Metetra 1 g .19916 .51294 .21352 .52135 .23262 .52586 .21824 .51819 Metetra 1 g .21824 .51819 .23262 .52586 .25256 .52395 .23842 .51472 Metetra 1 g .23842 .51472 .25256 .52395 .27313 .51707 .25935 .50482 Metetra 1 g .25935 .50482 .27313 .51707 .29407 .50719 .28067 .49148 Metetra 1 g .28067 .49148 .29407 .50719 .31522 .49605 .30213 .47732 Metetra 1 g .30213 .47732 .31522 .49605 .33649 .48495 .32361 .46414 Metetra 1 g .32361 .46414 .33649 .48495 .35784 .4746 .34508 .45281 Metetra 1 g .34508 .45281 .35784 .4746 .37927 .4652 .36657 .4434 Metetra 1 g .36657 .4434 .37927 .4652 .40081 .45665 .38814 .43545 Metetra 1 g .38814 .43545 .40081 .45665 .42249 .44863 .40985 .42825 Metetra 1 g .40985 .42825 .42249 .44863 .44434 .44086 .43175 .42108 Metetra 1 g .43175 .42108 .44434 .44086 .46637 .4331 .45385 .41343 Metetra 1 g .45385 .41343 .46637 .4331 .48858 .42527 .47614 .40508 Metetra 1 g .47614 .40508 .48858 .42527 .51097 .41739 .49862 .39612 Metetra 1 g .49862 .39612 .51097 .41739 .53355 .40951 .52128 .3868 Metetra 1 g .52128 .3868 .53355 .40951 .55631 .40154 .5441 .37735 Metetra 1 g .5441 .37735 .55631 .40154 .57927 .39318 .5671 .3678 Metetra 1 g .5671 .3678 .57927 .39318 .60239 .3838 .59026 .35774 Metetra 1 g .59026 .35774 .60239 .3838 .62562 .37243 .61355 .34628 Metetra 1 g .61355 .34628 .62562 .37243 .64887 .35802 .6369 .33221 Metetra 1 g .6369 .33221 .64887 .35802 .67205 .33986 .66019 .3145 Metetra 1 g .66019 .3145 .67205 .33986 .69508 .3184 .68335 .29325 Metetra 1 g .68335 .29325 .69508 .3184 .71808 .2965 .70646 .27126 Metetra 1 g .70646 .27126 .71808 .2965 .74155 .28112 .73005 .25622 Metetra 1 g .73005 .25622 .74155 .28112 .76679 .28601 .75557 .26418 Metetra 1 g .11156 .47944 .12603 .49033 .14698 .47013 .13245 .46093 Metetra 1 g .13245 .46093 .14698 .47013 .16438 .48075 .14985 .47168 Metetra 1 g .14985 .47168 .16438 .48075 .18133 .49895 .16688 .48886 Metetra 1 g .16688 .48886 .18133 .49895 .19916 .51294 .18489 .5011 Metetra 1 g .18489 .5011 .19916 .51294 .21824 .51819 .20421 .50434 Metetra 1 g .20421 .50434 .21824 .51819 .23842 .51472 .22464 .49893 Metetra 1 g .22464 .49893 .23842 .51472 .25935 .50482 .24579 .48742 Metetra 1 g .24579 .48742 .25935 .50482 .28067 .49148 .26731 .47289 Metetra 1 g .26731 .47289 .28067 .49148 .30213 .47732 .28892 .45797 Metetra 1 g .28892 .45797 .30213 .47732 .32361 .46414 .31052 .44438 Metetra 1 g .31052 .44438 .32361 .46414 .34508 .45281 .33207 .43286 Metetra 1 g .33207 .43286 .34508 .45281 .36657 .4434 .35363 .42336 Metetra 1 g .35363 .42336 .36657 .4434 .38814 .43545 .37527 .4153 Metetra 1 g .37527 .4153 .38814 .43545 .40985 .42825 .39706 .40788 Metetra 1 g .39706 .40788 .40985 .42825 .43175 .42108 .41904 .40034 Metetra 1 g .41904 .40034 .43175 .42108 .45385 .41343 .44122 .39218 Metetra 1 g .44122 .39218 .45385 .41343 .47614 .40508 .46359 .38323 Metetra 1 g .46359 .38323 .47614 .40508 .49862 .39612 .48615 .37363 Metetra 1 g .48615 .37363 .49862 .39612 .52128 .3868 .50888 .36374 Metetra 1 g .50888 .36374 .52128 .3868 .5441 .37735 .53177 .35387 Metetra 1 g .53177 .35387 .5441 .37735 .5671 .3678 .55484 .34409 Metetra 1 g .55484 .34409 .5671 .3678 .59026 .35774 .57808 .33401 Metetra 1 g .57808 .33401 .59026 .35774 .61355 .34628 .60145 .3227 Metetra 1 g .60145 .3227 .61355 .34628 .6369 .33221 .62491 .30886 Metetra 1 g .62491 .30886 .6369 .33221 .66019 .3145 .64832 .29134 Metetra 1 g .64832 .29134 .66019 .3145 .68335 .29325 .67162 .27018 Metetra 1 g .67162 .27018 .68335 .29325 .70646 .27126 .69487 .24819 Metetra 1 g .69487 .24819 .70646 .27126 .73005 .25622 .71858 .23329 Metetra 1 g .71858 .23329 .73005 .25622 .75557 .26418 .74422 .24218 Metetra 1 g .09782 .4614 .11156 .47944 .13245 .46093 .11637 .46149 Metetra 1 g .11637 .46149 .13245 .46093 .14985 .47168 .13397 .47116 Metetra 1 g .13397 .47116 .14985 .47168 .16688 .48886 .152 .48018 Metetra 1 g .152 .48018 .16688 .48886 .18489 .5011 .17097 .48399 Metetra 1 g .17097 .48399 .18489 .5011 .20421 .50434 .19089 .48164 Metetra 1 g .19089 .48164 .20421 .50434 .22464 .49893 .21155 .47414 Metetra 1 g .21155 .47414 .22464 .49893 .24579 .48742 .23268 .46328 Metetra 1 g .23268 .46328 .24579 .48742 .26731 .47289 .25406 .4509 Metetra 1 g .25406 .4509 .26731 .47289 .28892 .45797 .27556 .43838 Metetra 1 g .27556 .43838 .28892 .45797 .31052 .44438 .29711 .42655 Metetra 1 g .29711 .42655 .31052 .44438 .33207 .43286 .31871 .41572 Metetra 1 g .31871 .41572 .33207 .43286 .35363 .42336 .34039 .40579 Metetra 1 g .34039 .40579 .35363 .42336 .37527 .4153 .36218 .39645 Metetra 1 g .36218 .39645 .37527 .4153 .39706 .40788 .38412 .38733 Metetra 1 g .38412 .38733 .39706 .40788 .41904 .40034 .40622 .37816 Metetra 1 g .40622 .37816 .41904 .40034 .44122 .39218 .4285 .36884 Metetra 1 g .4285 .36884 .44122 .39218 .46359 .38323 .45095 .35942 Metetra 1 g .45095 .35942 .46359 .38323 .48615 .37363 .47356 .3501 Metetra 1 g .47356 .3501 .48615 .37363 .50888 .36374 .49635 .34104 Metetra 1 g .49635 .34104 .50888 .36374 .53177 .35387 .51932 .33228 Metetra 1 g .51932 .33228 .53177 .35387 .55484 .34409 .54248 .32351 Metetra 1 g .54248 .32351 .55484 .34409 .57808 .33401 .56582 .31408 Metetra 1 g .56582 .31408 .57808 .33401 .60145 .3227 .58932 .30294 Metetra 1 g .58932 .30294 .60145 .3227 .62491 .30886 .6129 .28889 Metetra 1 g .6129 .28889 .62491 .30886 .64832 .29134 .63645 .2711 Metetra 1 g .63645 .2711 .64832 .29134 .67162 .27018 .6599 .24994 Metetra 1 g .6599 .24994 .67162 .27018 .69487 .24819 .68333 .22825 Metetra 1 g .68333 .22825 .69487 .24819 .71858 .23329 .70718 .21314 Metetra 1 g .70718 .21314 .71858 .23329 .74422 .24218 .73264 .21872 Metetra 1 g .08501 .43545 .09782 .4614 .11637 .46149 .09881 .47021 Metetra 1 g .09881 .47021 .11637 .46149 .13397 .47116 .11685 .47742 Metetra 1 g .11685 .47742 .13397 .47116 .152 .48018 .13687 .47127 Metetra 1 g .13687 .47127 .152 .48018 .17097 .48399 .1576 .46049 Metetra 1 g .1576 .46049 .17097 .48399 .19089 .48164 .17847 .44958 Metetra 1 g .17847 .44958 .19089 .48164 .21155 .47414 .19929 .44019 Metetra 1 g .19929 .44019 .21155 .47414 .23268 .46328 .2201 .43237 Metetra 1 g .2201 .43237 .23268 .46328 .25406 .4509 .24099 .42536 Metetra 1 g .24099 .42536 .25406 .4509 .27556 .43838 .26207 .41821 Metetra 1 g .26207 .41821 .27556 .43838 .29711 .42655 .28341 .41014 Metetra 1 g .28341 .41014 .29711 .42655 .31871 .41572 .305 .40071 Metetra 1 g .305 .40071 .31871 .41572 .34039 .40579 .32684 .38992 Metetra 1 g .32684 .38992 .34039 .40579 .36218 .39645 .34888 .37811 Metetra 1 g .34888 .37811 .36218 .39645 .38412 .38733 .37106 .36591 Metetra 1 g .37106 .36591 .38412 .38733 .40622 .37816 .39335 .35403 Metetra 1 g .39335 .35403 .40622 .37816 .4285 .36884 .41574 .3431 Metetra 1 g .41574 .3431 .4285 .36884 .45095 .35942 .43823 .33357 Metetra 1 g .43823 .33357 .45095 .35942 .47356 .3501 .46086 .32555 Metetra 1 g .46086 .32555 .47356 .3501 .49635 .34104 .48367 .31876 Metetra 1 g .48367 .31876 .49635 .34104 .51932 .33228 .5067 .31253 Metetra 1 g .5067 .31253 .51932 .33228 .54248 .32351 .52997 .30586 Metetra 1 g .52997 .30586 .54248 .32351 .56582 .31408 .55345 .29752 Metetra 1 g .55345 .29752 .56582 .31408 .58932 .30294 .57709 .28635 Metetra 1 g .57709 .28635 .58932 .30294 .6129 .28889 .6008 .27153 Metetra 1 g .6008 .27153 .6129 .28889 .63645 .2711 .6245 .25302 Metetra 1 g .6245 .25302 .63645 .2711 .6599 .24994 .64814 .23196 Metetra 1 g .64814 .23196 .6599 .24994 .68333 .22825 .6718 .21114 Metetra 1 g .6718 .21114 .68333 .22825 .70718 .21314 .69579 .19548 Metetra 1 g .69579 .19548 .70718 .21314 .73264 .21872 .72077 .19263 Metetra 1 g .07276 .40501 .08501 .43545 .09881 .47021 .08108 .47674 Metetra 1 g .08108 .47674 .09881 .47021 .11685 .47742 .09969 .48055 Metetra 1 g .09969 .48055 .11685 .47742 .13687 .47127 .12205 .45761 Metetra 1 g .12205 .45761 .13687 .47127 .1576 .46049 .14477 .43147 Metetra 1 g .14477 .43147 .1576 .46049 .17847 .44958 .16662 .41214 Metetra 1 g .16662 .41214 .17847 .44958 .19929 .44019 .18751 .40156 Metetra 1 g .18751 .40156 .19929 .44019 .2201 .43237 .20784 .39767 Metetra 1 g .20784 .39767 .2201 .43237 .24099 .42536 .22808 .39694 Metetra 1 g .22808 .39694 .24099 .42536 .26207 .41821 .2486 .3959 Metetra 1 g .2486 .3959 .26207 .41821 .28341 .41014 .26963 .39203 Metetra 1 g .26963 .39203 .28341 .41014 .305 .40071 .29119 .38414 Metetra 1 g .29119 .38414 .305 .40071 .32684 .38992 .3132 .37237 Metetra 1 g .3132 .37237 .32684 .38992 .34888 .37811 .3355 .35791 Metetra 1 g .3355 .35791 .34888 .37811 .37106 .36591 .35795 .34247 Metetra 1 g .35795 .34247 .37106 .36591 .39335 .35403 .38044 .32785 Metetra 1 g .38044 .32785 .39335 .35403 .41574 .3431 .40293 .31548 Metetra 1 g .40293 .31548 .41574 .3431 .43823 .33357 .42545 .30614 Metetra 1 g .42545 .30614 .43823 .33357 .46086 .32555 .44806 .29979 Metetra 1 g .44806 .29979 .46086 .32555 .48367 .31876 .47087 .29562 Metetra 1 g .47087 .29562 .48367 .31876 .5067 .31253 .49393 .29217 Metetra 1 g .49393 .29217 .5067 .31253 .52997 .30586 .51728 .28763 Metetra 1 g .51728 .28763 .52997 .30586 .55345 .29752 .54088 .28025 Metetra 1 g .54088 .28025 .55345 .29752 .57709 .28635 .56465 .26883 Metetra 1 g .56465 .26883 .57709 .28635 .6008 .27153 .5885 .2531 Metetra 1 g .5885 .2531 .6008 .27153 .6245 .25302 .61235 .234 Metetra 1 g .61235 .234 .6245 .25302 .64814 .23196 .63619 .21354 Metetra 1 g .63619 .21354 .64814 .23196 .6718 .21114 .66011 .19425 Metetra 1 g .66011 .19425 .6718 .21114 .69579 .19548 .68424 .178 Metetra 1 g .68424 .178 .69579 .19548 .72077 .19263 .70863 .16419 Metetra 1 g .05949 .38086 .07276 .40501 .08108 .47674 .06696 .45541 Metetra 1 g .06696 .45541 .08108 .47674 .09969 .48055 .08588 .45681 Metetra 1 g .08588 .45681 .09969 .48055 .12205 .45761 .10882 .4303 Metetra 1 g .10882 .4303 .12205 .45761 .14477 .43147 .13197 .40147 Metetra 1 g .13197 .40147 .14477 .43147 .16662 .41214 .15402 .38088 Metetra 1 g .15402 .38088 .16662 .41214 .18751 .40156 .1749 .37031 Metetra 1 g .1749 .37031 .18751 .40156 .20784 .39767 .19509 .36727 Metetra 1 g .19509 .36727 .20784 .39767 .22808 .39694 .21515 .36776 Metetra 1 g .21515 .36776 .22808 .39694 .2486 .3959 .23552 .3679 Metetra 1 g .23552 .3679 .2486 .3959 .26963 .39203 .25645 .36493 Metetra 1 g .25645 .36493 .26963 .39203 .29119 .38414 .27798 .35754 Metetra 1 g .27798 .35754 .29119 .38414 .3132 .37237 .30002 .34589 Metetra 1 g .30002 .34589 .3132 .37237 .3355 .35791 .32238 .33129 Metetra 1 g .32238 .33129 .3355 .35791 .35795 .34247 .34491 .3156 Metetra 1 g .34491 .3156 .35795 .34247 .38044 .32785 .36746 .30073 Metetra 1 g .36746 .30073 .38044 .32785 .40293 .31548 .39 .2882 Metetra 1 g .39 .2882 .40293 .31548 .42545 .30614 .41256 .27878 Metetra 1 g .41256 .27878 .42545 .30614 .44806 .29979 .43519 .27241 Metetra 1 g .43519 .27241 .44806 .29979 .47087 .29562 .45801 .26821 Metetra 1 g .45801 .26821 .47087 .29562 .49393 .29217 .48109 .26464 Metetra 1 g .48109 .26464 .49393 .29217 .51728 .28763 .50446 .2599 Metetra 1 g .50446 .2599 .51728 .28763 .54088 .28025 .5281 .25233 Metetra 1 g .5281 .25233 .54088 .28025 .56465 .26883 .55193 .24089 Metetra 1 g .55193 .24089 .56465 .26883 .5885 .2531 .57586 .22559 Metetra 1 g .57586 .22559 .5885 .2531 .61235 .234 .59983 .20757 Metetra 1 g .59983 .20757 .61235 .234 .63619 .21354 .62384 .18881 Metetra 1 g .62384 .18881 .63619 .21354 .66011 .19425 .64797 .17128 Metetra 1 g .64797 .17128 .66011 .19425 .68424 .178 .67225 .15535 Metetra 1 g .67225 .15535 .68424 .178 .70863 .16419 .69651 .13725 Metetra 1 g .04148 .38573 .05949 .38086 .06696 .45541 .06391 .36032 Metetra 1 g .06391 .36032 .06696 .45541 .08588 .45681 .08199 .36419 Metetra 1 g .08199 .36419 .08588 .45681 .10882 .4303 .09944 .37469 Metetra 1 g .09944 .37469 .10882 .4303 .13197 .40147 .11784 .38093 Metetra 1 g .11784 .38093 .13197 .40147 .15402 .38088 .13758 .37932 Metetra 1 g .13758 .37932 .15402 .38088 .1749 .37031 .15843 .37052 Metetra 1 g .15843 .37052 .1749 .37031 .19509 .36727 .17995 .35715 Metetra 1 g .17995 .35715 .19509 .36727 .21515 .36776 .20174 .34217 Metetra 1 g .20174 .34217 .21515 .36776 .23552 .3679 .22353 .3279 Metetra 1 g .22353 .3279 .23552 .3679 .25645 .36493 .24522 .31569 Metetra 1 g .24522 .31569 .25645 .36493 .27798 .35754 .26682 .30588 Metetra 1 g .26682 .30588 .27798 .35754 .30002 .34589 .28841 .29799 Metetra 1 g .28841 .29799 .30002 .34589 .32238 .33129 .31012 .2911 Metetra 1 g .31012 .2911 .32238 .33129 .34491 .3156 .33204 .28411 Metetra 1 g .33204 .28411 .34491 .3156 .36746 .30073 .35423 .27609 Metetra 1 g .35423 .27609 .36746 .30073 .39 .2882 .37669 .26649 Metetra 1 g .37669 .26649 .39 .2882 .41256 .27878 .39939 .25526 Metetra 1 g .39939 .25526 .41256 .27878 .43519 .27241 .42229 .24285 Metetra 1 g .42229 .24285 .43519 .27241 .45801 .26821 .44534 .22999 Metetra 1 g .44534 .22999 .45801 .26821 .48109 .26464 .46851 .21751 Metetra 1 g .46851 .21751 .48109 .26464 .50446 .2599 .49182 .20601 Metetra 1 g .49182 .20601 .50446 .2599 .5281 .25233 .51529 .19562 Metetra 1 g .51529 .19562 .5281 .25233 .55193 .24089 .53895 .18579 Metetra 1 g .53895 .18579 .55193 .24089 .57586 .22559 .56279 .17536 Metetra 1 g .56279 .17536 .57586 .22559 .59983 .20757 .58679 .16292 Metetra 1 g .58679 .16292 .59983 .20757 .62384 .18881 .61086 .14764 Metetra 1 g .61086 .14764 .62384 .18881 .64797 .17128 .63499 .13079 Metetra 1 g .63499 .13079 .64797 .17128 .67225 .15535 .6594 .11794 Metetra 1 g .6594 .11794 .67225 .15535 .69651 .13725 .68498 .12233 Metetra P p .002 w .67932 .02494 m .94594 .43277 L s .94594 .43277 m .97506 .64585 L s .97506 .64585 m .69286 .25814 L s .69286 .25814 m .67932 .02494 L s .06024 .26735 m .02494 .49015 L s .02494 .49015 m .69286 .25814 L s .69286 .25814 m .67932 .02494 L s .67932 .02494 m .06024 .26735 L s P p p .002 w .06024 .26735 m .67932 .02494 L s P p .002 w .23656 .19831 m .24084 .20285 L s P [(10)] .22802 .18923 .94132 1 Mshowa p .002 w .44845 .11534 m .45233 .12021 L s P [(20)] .44067 .10559 .79753 1 Mshowa p .002 w .67932 .02494 m .68274 .03015 L s P [(30)] .6725 .0145 .65374 1 Mshowa p .001 w .27753 .18226 m .28005 .18503 L s P p .001 w .31919 .16595 m .32167 .16876 L s P p .001 w .36155 .14937 m .36398 .15221 L s P p .001 w .40463 .1325 m .40701 .13538 L s P p .001 w .49302 .09789 m .4953 .10085 L s P p .001 w .53838 .08013 m .5406 .08313 L s P p .001 w .58453 .06205 m .5867 .0651 L s P p .001 w .63151 .04366 m .63362 .04675 L s P p .001 w .19626 .21409 m .19887 .21677 L s P p .001 w .15661 .22961 m .15926 .23226 L s P p .001 w .1176 .24489 m .12028 .2475 L s P p .001 w .07921 .25992 m .08193 .26249 L s P P p p .002 w .67932 .02494 m .94594 .43277 L s P p .002 w .77481 .171 m .76894 .1731 L s P [(10)] .78655 .1668 -1 .35807 Mshowa p .002 w .8665 .31124 m .86057 .31318 L s P [(20)] .87835 .30737 -1 .32699 Mshowa p .002 w .94594 .43277 m .93997 .43456 L s P [(30)] .95788 .42917 -1 .30087 Mshowa p .001 w .79426 .20075 m .79073 .20199 L s P p .001 w .81313 .22961 m .80959 .23083 L s P p .001 w .83144 .25762 m .8279 .25882 L s P p .001 w .84922 .28482 m .84567 .286 L s P p .001 w .88328 .33692 m .87972 .33806 L s P p .001 w .8996 .36188 m .89603 .36301 L s P p .001 w .91547 .38616 m .9119 .38727 L s P p .001 w .93091 .40978 m .92733 .41087 L s P p .001 w .75476 .14032 m .75124 .1416 L s P p .001 w .73406 .10866 m .73055 .10997 L s P p .001 w .7127 .07598 m .7092 .07731 L s P p .001 w .69063 .04223 m .68714 .04358 L s P P p p .002 w .06024 .26735 m .02494 .49015 L s P p .002 w .06024 .26735 m .06605 .26508 L s P [(0)] .04863 .27189 1 -0.39157 Mshowa p .002 w .05048 .32895 m .05631 .32673 L s P [(100)] .03882 .33337 1 -0.37941 Mshowa p .002 w .0403 .39319 m .04615 .39105 L s P [(200)] .02859 .39748 1 -0.36668 Mshowa p .002 w .02967 .46027 m .03555 .45819 L s P [(300)] .01792 .46442 1 -0.35333 Mshowa p .001 w .05832 .27946 m .06181 .27811 L s P p .001 w .05639 .29168 m .05988 .29033 L s P p .001 w .05443 .304 m .05793 .30266 L s P p .001 w .05247 .31642 m .05596 .31508 L s P p .001 w .04848 .34158 m .05198 .34026 L s P p .001 w .04646 .35432 m .04996 .353 L s P p .001 w .04442 .36716 m .04793 .36586 L s P p .001 w .04237 .38012 m .04588 .37883 L s P p .001 w .03821 .40637 m .04173 .4051 L s P p .001 w .0361 .41967 m .03962 .4184 L s P p .001 w .03398 .43309 m .0375 .43182 L s P p .001 w .03183 .44662 m .03536 .44536 L s P p .001 w .02749 .47404 m .03102 .4728 L s P p .001 w .02529 .48793 m .02882 .4867 L s P P % End of Graphics MathPictureEnd :[font = subsubsection; inactive; Cclosed; preserveAspect; startGroup; ] Plot of the corresponding correlation function :[font = input; preserveAspect; startGroup; ] ListPlot3D[rhoMat, PlotRange->{0.5, 1}, Shading->False]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 282; pictureHeight = 231; endGroup; endGroup; endGroup; ] %! %%Creator: Mathematica %%AspectRatio: .82055 MathPictureStart %% SurfaceGraphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0249355 0.99742 -0.0396341 0.99742 [ [(10)] .22802 .18923 .94132 1 Msboxa [(20)] .44067 .10559 .79753 1 Msboxa [(30)] .6725 .0145 .65374 1 Msboxa [(10)] .78655 .1668 -1 .35807 Msboxa [(20)] .87835 .30737 -1 .32699 Msboxa [(30)] .95788 .42917 -1 .30087 Msboxa [(0.5)] .04863 .27189 1 -0.39157 Msboxa [(0.6)] .04194 .31381 1 -0.38329 Msboxa [(0.7)] .03506 .35695 1 -0.37474 Msboxa [(0.8)] .02798 .40136 1 -0.36591 Msboxa [(0.9)] .02068 .4471 1 -0.35679 Msboxa [(1)] .01316 .49424 1 -0.34736 Msboxa [ 0 0 0 0 ] [ 1 .82055 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .06024 .26735 m .67932 .02494 L s P p .002 w .23656 .19831 m .24084 .20285 L s P [(10)] .22802 .18923 .94132 1 Mshowa p .002 w .44845 .11534 m .45233 .12021 L s P [(20)] .44067 .10559 .79753 1 Mshowa p .002 w .67932 .02494 m .68274 .03015 L s P [(30)] .6725 .0145 .65374 1 Mshowa p .001 w .27753 .18226 m .28005 .18503 L s P p .001 w .31919 .16595 m .32167 .16876 L s P p .001 w .36155 .14937 m .36398 .15221 L s P p .001 w .40463 .1325 m .40701 .13538 L s P p .001 w .49302 .09789 m .4953 .10085 L s P p .001 w .53838 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.04812 .34383 m .05162 .34251 L s P p .001 w .04534 .36137 m .04885 .36006 L s P p .001 w .04394 .37022 m .04745 .36891 L s P p .001 w .04253 .37912 m .04604 .37782 L s P p .001 w .04111 .38807 m .04462 .38678 L s P p .001 w .03825 .40613 m .04176 .40485 L s P p .001 w .03681 .41524 m .04032 .41397 L s P p .001 w .03535 .42441 m .03887 .42314 L s P p .001 w .03389 .43363 m .03741 .43237 L s P p .001 w .03094 .45224 m .03447 .45099 L s P p .001 w .02945 .46163 m .03298 .46039 L s P p .001 w .02796 .47108 m .03149 .46984 L s P p .001 w .02645 .48058 m .02998 .47935 L s P P 0 0 m 1 0 L 1 .82055 L 0 .82055 L closepath clip newpath p .002 w .06024 .26735 m .02494 .49015 L s .02494 .49015 m .40296 .79562 L s .40296 .79562 m .41001 .59401 L s .41001 .59401 m .06024 .26735 L s .67932 .02494 m .94594 .43277 L s .94594 .43277 m .97506 .64585 L s .97506 .64585 m .69286 .25814 L s .69286 .25814 m .67932 .02494 L s .06024 .26735 m .02494 .49015 L s .02494 .49015 m .69286 .25814 L s .69286 .25814 m .67932 .02494 L s .67932 .02494 m .06024 .26735 L s .41001 .59401 m .94594 .43277 L s .94594 .43277 m .97506 .64585 L s .97506 .64585 m .40296 .79562 L s .40296 .79562 m .41001 .59401 L s P p 1 g .003 w .39804 .63613 .40799 .65174 .42659 .59569 .4151 .63285 Metetra 1 g .4151 .63285 .42659 .59569 .44326 .60095 .43228 .6296 Metetra 1 g .43228 .6296 .44326 .60095 .45973 .62789 .44937 .63676 Metetra 1 g .44937 .63676 .45973 .62789 .47689 .63846 .46693 .63078 Metetra 1 g .46693 .63078 .47689 .63846 .49441 .63914 .48458 .6263 Metetra 1 g .48458 .6263 .49441 .63914 .5121 .64356 .50228 .63477 Metetra 1 g .50228 .63477 .5121 .64356 .53003 .65335 .52024 .65354 Metetra 1 g .52024 .65354 .53003 .65335 .54825 .66435 .53859 .67412 Metetra 1 g .53859 .67412 .54825 .66435 .56675 .67339 .55731 .68968 Metetra 1 g .55731 .68968 .56675 .67339 .58551 .6807 .57629 .69897 Metetra 1 g .57629 .69897 .58551 .6807 .60452 .68737 .59548 .70378 Metetra 1 g .59548 .70378 .60452 .68737 .62377 .69295 .61484 .70537 Metetra 1 g .61484 .70537 .62377 .69295 .64318 .69554 .63431 .70383 Metetra 1 g .63431 .70383 .64318 .69554 .66261 .6934 .65384 .69923 Metetra 1 g .65384 .69923 .66261 .6934 .68199 .6862 .67344 .69243 Metetra 1 g .67344 .69243 .68199 .6862 .70128 .67511 .69311 .68476 Metetra 1 g .69311 .68476 .70128 .67511 .72052 .66204 .7129 .677 Metetra 1 g .7129 .677 .72052 .66204 .73983 .64903 .7328 .66912 Metetra 1 g .7328 .66912 .73983 .64903 .75934 .63823 .7528 .66083 Metetra 1 g .7528 .66083 .75934 .63823 .77927 .63172 .77291 .65253 Metetra 1 g .77291 .65253 .77927 .63172 .7998 .63064 .79323 .64527 Metetra 1 g .79323 .64527 .7998 .63064 .82098 .63446 .81387 .6401 Metetra 1 g .81387 .6401 .82098 .63446 .84267 .64084 .83493 .63772 Metetra 1 g .83493 .63772 .84267 .64084 .86459 .6463 .85655 .63877 Metetra 1 g .85655 .63877 .86459 .6463 .88622 .64633 .87879 .64332 Metetra 1 g .87879 .64332 .88622 .64633 .90677 .63513 .90137 .64817 Metetra 1 g .90137 .64817 .90677 .63513 .92603 .61264 .92347 .64645 Metetra 1 g .92347 .64645 .92603 .61264 .94781 .60994 .94531 .64097 Metetra 1 g .94531 .64097 .94781 .60994 .97506 .64585 .96165 .5933 Metetra 1 g .38768 .62813 .39804 .63613 .4151 .63285 .40462 .63011 Metetra 1 g .40462 .63011 .4151 .63285 .43228 .6296 .4219 .62704 Metetra 1 g .4219 .62704 .43228 .6296 .44937 .63676 .43908 .63345 Metetra 1 g .43908 .63345 .44937 .63676 .46693 .63078 .45677 .62628 Metetra 1 g .45677 .62628 .46693 .63078 .48458 .6263 .47453 .62111 Metetra 1 g .47453 .62111 .48458 .6263 .50228 .63477 .49229 .62957 Metetra 1 g .49229 .62957 .50228 .63477 .52024 .65354 .51028 .6487 Metetra 1 g .51028 .6487 .52024 .65354 .53859 .67412 .52867 .66956 Metetra 1 g .52867 .66956 .53859 .67412 .55731 .68968 .54744 .68504 Metetra 1 g .54744 .68504 .55731 .68968 .57629 .69897 .56649 .69384 Metetra 1 g .56649 .69384 .57629 .69897 .59548 .70378 .58576 .69787 Metetra 1 g .58576 .69787 .59548 .70378 .61484 .70537 .60519 .69855 Metetra 1 g .60519 .69855 .61484 .70537 .63431 .70383 .62474 .69618 Metetra 1 g .62474 .69618 .63431 .70383 .65384 .69923 .64436 .69099 Metetra 1 g .64436 .69099 .65384 .69923 .67344 .69243 .66406 .68398 Metetra 1 g .66406 .68398 .67344 .69243 .69311 .68476 .68386 .67653 Metetra 1 g .68386 .67653 .69311 .68476 .7129 .677 .70381 .66936 Metetra 1 g .70381 .66936 .7129 .677 .7328 .66912 .72388 .66224 Metetra 1 g .72388 .66224 .7328 .66912 .7528 .66083 .74406 .65463 Metetra 1 g .74406 .65463 .7528 .66083 .77291 .65253 .76435 .64668 Metetra 1 g .76435 .64668 .77291 .65253 .79323 .64527 .7848 .63931 Metetra 1 g .7848 .63931 .79323 .64527 .81387 .6401 .80553 .63356 Metetra 1 g .80553 .63356 .81387 .6401 .83493 .63772 .82665 .63024 Metetra 1 g .82665 .63024 .83493 .63772 .85655 .63877 .84828 .63022 Metetra 1 g .84828 .63022 .85655 .63877 .87879 .64332 .87054 .6338 Metetra 1 g .87054 .6338 .87879 .64332 .90137 .64817 .89317 .63804 Metetra 1 g .89317 .63804 .90137 .64817 .92347 .64645 .91536 .63606 Metetra 1 g .91536 .63606 .92347 .64645 .94531 .64097 .93726 .62994 Metetra 1 g .93726 .62994 .94531 .64097 .96165 .5933 .95341 .5792 Metetra 1 g .37695 .6252 .38768 .62813 .40462 .63011 .39407 .62457 Metetra 1 g .39407 .62457 .40462 .63011 .4219 .62704 .41134 .62439 Metetra 1 g .41134 .62439 .4219 .62704 .43908 .63345 .42848 .63462 Metetra 1 g .42848 .63462 .43908 .63345 .45677 .62628 .44627 .62926 Metetra 1 g .44627 .62926 .45677 .62628 .47453 .62111 .46418 .62403 Metetra 1 g .46418 .62403 .47453 .62111 .49229 .62957 .48205 .63175 Metetra 1 g .48205 .63175 .49229 .62957 .51028 .6487 .50012 .64997 Metetra 1 g .50012 .64997 .51028 .6487 .52867 .66956 .51858 .66988 Metetra 1 g .51858 .66988 .52867 .66956 .54744 .68504 .53743 .68451 Metetra 1 g .53743 .68451 .54744 .68504 .56649 .69384 .55658 .6927 Metetra 1 g .55658 .6927 .56649 .69384 .58576 .69787 .57595 .69633 Metetra 1 g .57595 .69633 .58576 .69787 .60519 .69855 .5955 .69667 Metetra 1 g .5955 .69667 .60519 .69855 .62474 .69618 .61517 .6938 Metetra 1 g .61517 .6938 .62474 .69618 .64436 .69099 .63491 .68786 Metetra 1 g .63491 .68786 .64436 .69099 .66406 .68398 .65472 .67992 Metetra 1 g .65472 .67992 .66406 .68398 .68386 .67653 .67463 .67157 Metetra 1 g .67463 .67157 .68386 .67653 .70381 .66936 .69469 .66387 Metetra 1 g .69469 .66387 .70381 .66936 .72388 .66224 .71492 .65695 Metetra 1 g .71492 .65695 .72388 .66224 .74406 .65463 .73532 .65048 Metetra 1 g .73532 .65048 .74406 .65463 .76435 .64668 .75591 .64455 Metetra 1 g .75591 .64455 .76435 .64668 .7848 .63931 .77673 .63968 Metetra 1 g .77673 .63968 .7848 .63931 .80553 .63356 .79784 .63625 Metetra 1 g .79784 .63625 .80553 .63356 .82665 .63024 .81928 .63426 Metetra 1 g .81928 .63426 .82665 .63024 .84828 .63022 .84106 .63361 Metetra 1 g .84106 .63361 .84828 .63022 .87054 .6338 .86315 .63366 Metetra 1 g .86315 .63366 .87054 .6338 .89317 .63804 .88521 .63112 Metetra 1 g .88521 .63112 .89317 .63804 .91536 .63606 .90666 .6214 Metetra 1 g .90666 .6214 .91536 .63606 .93726 .62994 .92863 .61499 Metetra 1 g .92863 .61499 .93726 .62994 .95341 .5792 .94771 .58509 Metetra 1 g .36636 .61577 .37695 .6252 .39407 .62457 .38336 .61911 Metetra 1 g .38336 .61911 .39407 .62457 .41134 .62439 .40062 .62118 Metetra 1 g .40062 .62118 .41134 .62439 .42848 .63462 .41777 .63295 Metetra 1 g .41777 .63295 .42848 .63462 .44627 .62926 .43568 .62764 Metetra 1 g .43568 .62764 .44627 .62926 .46418 .62403 .45373 .62176 Metetra 1 g .45373 .62176 .46418 .62403 .48205 .63175 .47169 .62888 Metetra 1 g .47169 .62888 .48205 .63175 .50012 .64997 .48981 .64661 Metetra 1 g .48981 .64661 .50012 .64997 .51858 .66988 .50831 .66601 Metetra 1 g .50831 .66601 .51858 .66988 .53743 .68451 .52722 .67996 Metetra 1 g .52722 .67996 .53743 .68451 .55658 .6927 .54644 .68729 Metetra 1 g .54644 .68729 .55658 .6927 .57595 .69633 .5659 .68988 Metetra 1 g .5659 .68988 .57595 .69633 .5955 .69667 .58552 .68902 Metetra 1 g .58552 .68902 .5955 .69667 .61517 .6938 .60527 .68482 Metetra 1 g .60527 .68482 .61517 .6938 .63491 .68786 .62508 .67757 Metetra 1 g .62508 .67757 .63491 .68786 .65472 .67992 .64496 .66854 Metetra 1 g .64496 .66854 .65472 .67992 .67463 .67157 .66495 .65961 Metetra 1 g .66495 .65961 .67463 .67157 .69469 .66387 .68512 .6521 Metetra 1 g .68512 .6521 .69469 .66387 .71492 .65695 .70552 .64629 Metetra 1 g .70552 .64629 .71492 .65695 .73532 .65048 .72615 .64178 Metetra 1 g .72615 .64178 .73532 .65048 .75591 .64455 .74703 .63831 Metetra 1 g .74703 .63831 .75591 .64455 .77673 .63968 .76817 .63588 Metetra 1 g .76817 .63588 .77673 .63968 .79784 .63625 .78959 .63419 Metetra 1 g .78959 .63419 .79784 .63625 .81928 .63426 .81123 .63258 Metetra 1 g .81123 .63258 .81928 .63426 .84106 .63361 .83303 .63028 Metetra 1 g .83303 .63028 .84106 .63361 .86315 .63366 .85487 .62615 Metetra 1 g .85487 .62615 .86315 .63366 .88521 .63112 .87635 .61692 Metetra 1 g .87635 .61692 .88521 .63112 .90666 .6214 .89713 .60029 Metetra 1 g .89713 .60029 .90666 .6214 .92863 .61499 .91909 .59318 Metetra 1 g .91909 .59318 .92863 .61499 .94771 .58509 .94037 .57952 Metetra 1 g .35577 .60346 .36636 .61577 .38336 .61911 .37239 .6158 Metetra 1 g .37239 .6158 .38336 .61911 .40062 .62118 .38968 .61894 Metetra 1 g .38968 .61894 .40062 .62118 .41777 .63295 .40692 .62998 Metetra 1 g .40692 .62998 .41777 .63295 .43568 .62764 .42498 .6232 Metetra 1 g .42498 .6232 .43568 .62764 .45373 .62176 .44316 .61641 Metetra 1 g .44316 .61641 .45373 .62176 .47169 .62888 .46119 .62343 Metetra 1 g .46119 .62343 .47169 .62888 .48981 .64661 .47934 .64146 Metetra 1 g .47934 .64146 .48981 .64661 .50831 .66601 .49787 .66098 Metetra 1 g .49787 .66098 .50831 .66601 .52722 .67996 .51684 .67448 Metetra 1 g .51684 .67448 .52722 .67996 .54644 .68729 .53614 .6807 Metetra 1 g .53614 .6807 .54644 .68729 .5659 .68988 .55567 .68167 Metetra 1 g .55567 .68167 .5659 .68988 .58552 .68902 .57536 .67891 Metetra 1 g .57536 .67891 .58552 .68902 .60527 .68482 .59516 .67285 Metetra 1 g .59516 .67285 .60527 .68482 .62508 .67757 .61503 .66413 Metetra 1 g .61503 .66413 .62508 .67757 .64496 .66854 .63497 .65432 Metetra 1 g .63497 .65432 .64496 .66854 .66495 .65961 .65506 .6455 Metetra 1 g .65506 .6455 .66495 .65961 .68512 .6521 .67537 .63905 Metetra 1 g .67537 .63905 .68512 .6521 .70552 .64629 .69596 .63504 Metetra 1 g .69596 .63504 .70552 .64629 .72615 .64178 .71682 .63269 Metetra 1 g .71682 .63269 .72615 .64178 .74703 .63831 .73795 .63119 Metetra 1 g .73795 .63119 .74703 .63831 .76817 .63588 .75932 .63002 Metetra 1 g .75932 .63002 .76817 .63588 .78959 .63419 .78089 .62853 Metetra 1 g .78089 .62853 .78959 .63419 .81123 .63258 .80259 .62583 Metetra 1 g .80259 .62583 .81123 .63258 .83303 .63028 .82432 .62114 Metetra 1 g .82432 .62114 .83303 .63028 .85487 .62615 .84594 .61344 Metetra 1 g .84594 .61344 .85487 .62615 .87635 .61692 .86711 .59993 Metetra 1 g .86711 .59993 .87635 .61692 .89713 .60029 .88758 .57961 Metetra 1 g .88758 .57961 .89713 .60029 .91909 .59318 .90949 .57145 Metetra 1 g .90949 .57145 .91909 .59318 .94037 .57952 .93143 .56231 Metetra 1 g .34497 .59273 .35577 .60346 .37239 .6158 .36116 .61362 Metetra 1 g .36116 .61362 .37239 .6158 .38968 .61894 .37854 .61704 Metetra 1 g .37854 .61704 .38968 .61894 .40692 .62998 .39587 .62692 Metetra 1 g .39587 .62692 .40692 .62998 .42498 .6232 .41411 .61873 Metetra 1 g .41411 .61873 .42498 .6232 .44316 .61641 .43242 .6114 Metetra 1 g .43242 .6114 .44316 .61641 .46119 .62343 .45051 .61877 Metetra 1 g .45051 .61877 .46119 .62343 .47934 .64146 .46868 .63741 Metetra 1 g .46868 .63741 .47934 .64146 .49787 .66098 .48725 .65714 Metetra 1 g .48725 .65714 .49787 .66098 .51684 .67448 .50629 .67001 Metetra 1 g .50629 .67001 .51684 .67448 .53614 .6807 .52568 .67476 Metetra 1 g .52568 .67476 .53614 .6807 .55567 .68167 .54529 .67376 Metetra 1 g .54529 .67376 .55567 .68167 .57536 .67891 .56506 .66891 Metetra 1 g .56506 .66891 .57536 .67891 .59516 .67285 .58493 .66106 Metetra 1 g .58493 .66106 .59516 .67285 .61503 .66413 .60487 .6512 Metetra 1 g .60487 .6512 .61503 .66413 .63497 .65432 .62491 .64116 Metetra 1 g .62491 .64116 .63497 .65432 .65506 .6455 .64513 .63307 Metetra 1 g .64513 .63307 .65506 .6455 .67537 .63905 .6656 .62812 Metetra 1 g .6656 .62812 .67537 .63905 .69596 .63504 .68639 .626 Metetra 1 g .68639 .626 .69596 .63504 .71682 .63269 .70746 .62535 Metetra 1 g .70746 .62535 .71682 .63269 .73795 .63119 .72878 .62484 Metetra 1 g .72878 .62484 .73795 .63119 .75932 .63002 .75028 .62358 Metetra 1 g .75028 .62358 .75932 .63002 .78089 .62853 .7719 .62088 Metetra 1 g .7719 .62088 .78089 .62853 .80259 .62583 .79357 .6161 Metetra 1 g .79357 .6161 .80259 .62583 .82432 .62114 .8152 .60887 Metetra 1 g .8152 .60887 .82432 .62114 .84594 .61344 .83672 .59872 Metetra 1 g .83672 .59872 .84594 .61344 .86711 .59993 .85784 .58348 Metetra 1 g .85784 .58348 .86711 .59993 .88758 .57961 .87836 .56239 Metetra 1 g .87836 .56239 .88758 .57961 .90949 .57145 .90023 .55307 Metetra 1 g .90023 .55307 .90949 .57145 .93143 .56231 .9217 .5393 Metetra 1 g .33379 .58602 .34497 .59273 .36116 .61362 .34982 .61003 Metetra 1 g .34982 .61003 .36116 .61362 .37854 .61704 .36726 .61347 Metetra 1 g .36726 .61347 .37854 .61704 .39587 .62692 .38466 .62345 Metetra 1 g .38466 .62345 .39587 .62692 .41411 .61873 .40301 .61529 Metetra 1 g .40301 .61529 .41411 .61873 .43242 .6114 .42143 .60827 Metetra 1 g .42143 .60827 .43242 .6114 .45051 .61877 .43959 .61616 Metetra 1 g .43959 .61616 .45051 .61877 .46868 .63741 .4578 .63513 Metetra 1 g .4578 .63513 .46868 .63741 .48725 .65714 .47643 .65447 Metetra 1 g .47643 .65447 .48725 .65714 .50629 .67001 .49555 .66606 Metetra 1 g .49555 .66606 .50629 .67001 .52568 .67476 .51504 .66892 Metetra 1 g .51504 .66892 .52568 .67476 .54529 .67376 .53476 .66587 Metetra 1 g .53476 .66587 .54529 .67376 .56506 .66891 .55462 .65923 Metetra 1 g .55462 .65923 .56506 .66891 .58493 .66106 .57458 .65015 Metetra 1 g .57458 .65015 .58493 .66106 .60487 .6512 .59463 .63985 Metetra 1 g .59463 .63985 .60487 .6512 .62491 .64116 .61479 .63021 Metetra 1 g .61479 .63021 .62491 .64116 .64513 .63307 .63516 .62322 Metetra 1 g .63516 .62322 .64513 .63307 .6656 .62812 .65581 .61977 Metetra 1 g .65581 .61977 .6656 .62812 .68639 .626 .67677 .61903 Metetra 1 g .67677 .61903 .68639 .626 .70746 .62535 .69801 .61915 Metetra 1 g .69801 .61915 .70746 .62535 .72878 .62484 .71945 .6184 Metetra 1 g .71945 .6184 .72878 .62484 .75028 .62358 .741 .61584 Metetra 1 g .741 .61584 .75028 .62358 .7719 .62088 .76261 .61103 Metetra 1 g .76261 .61103 .7719 .62088 .79357 .6161 .78421 .60381 Metetra 1 g .78421 .60381 .79357 .6161 .8152 .60887 .80579 .59445 Metetra 1 g .80579 .59445 .8152 .60887 .83672 .59872 .82732 .58315 Metetra 1 g .82732 .58315 .83672 .59872 .85784 .58348 .84859 .56821 Metetra 1 g .84859 .56821 .85784 .58348 .87836 .56239 .8694 .54836 Metetra 1 g .8694 .54836 .87836 .56239 .90023 .55307 .89129 .53803 Metetra 1 g .89129 .53803 .90023 .55307 .9217 .5393 .91176 .51507 Metetra 1 g .32213 .58433 .33379 .58602 .34982 .61003 .33847 .60302 Metetra 1 g .33847 .60302 .34982 .61003 .36726 .61347 .35597 .60661 Metetra 1 g .35597 .60661 .36726 .61347 .38466 .62345 .37329 .61896 Metetra 1 g .37329 .61896 .38466 .62345 .40301 .61529 .39167 .61307 Metetra 1 g .39167 .61307 .40301 .61529 .42143 .60827 .41018 .60735 Metetra 1 g .41018 .60735 .42143 .60827 .43959 .61616 .42841 .61571 Metetra 1 g .42841 .61571 .43959 .61616 .4578 .63513 .44669 .63425 Metetra 1 g .44669 .63425 .4578 .63513 .47643 .65447 .4654 .65217 Metetra 1 g .4654 .65217 .47643 .65447 .49555 .66606 .48463 .66165 Metetra 1 g .48463 .66165 .49555 .66606 .51504 .66892 .50423 .66227 Metetra 1 g .50423 .66227 .51504 .66892 .53476 .66587 .52406 .65739 Metetra 1 g .52406 .65739 .53476 .66587 .55462 .65923 .54403 .64962 Metetra 1 g .54403 .64962 .55462 .65923 .57458 .65015 .56411 .64021 Metetra 1 g .56411 .64021 .57458 .65015 .59463 .63985 .58428 .63034 Metetra 1 g .58428 .63034 .59463 .63985 .61479 .63021 .6046 .6217 Metetra 1 g .6046 .6217 .61479 .63021 .63516 .62322 .62512 .61595 Metetra 1 g .62512 .61595 .63516 .62322 .65581 .61977 .64594 .61355 Metetra 1 g .64594 .61355 .65581 .61977 .67677 .61903 .66705 .61327 Metetra 1 g .66705 .61327 .67677 .61903 .69801 .61915 .68841 .61291 Metetra 1 g .68841 .61291 .69801 .61915 .71945 .6184 .70989 .61069 Metetra 1 g .70989 .61069 .71945 .6184 .741 .61584 .73144 .60592 Metetra 1 g .73144 .60592 .741 .61584 .76261 .61103 .753 .59865 Metetra 1 g .753 .59865 .76261 .61103 .78421 .60381 .77457 .58928 Metetra 1 g .77457 .58928 .78421 .60381 .80579 .59445 .79616 .57866 Metetra 1 g .79616 .57866 .80579 .59445 .82732 .58315 .81782 .56748 Metetra 1 g .81782 .56748 .82732 .58315 .84859 .56821 .83939 .55425 Metetra 1 g .83939 .55425 .84859 .56821 .8694 .54836 .86059 .53672 Metetra 1 g .86059 .53672 .8694 .54836 .89129 .53803 .88256 .52574 Metetra 1 g .88256 .52574 .89129 .53803 .91176 .51507 .90206 .49327 Metetra 1 g .30996 .58717 .32213 .58433 .33847 .60302 .3272 .59183 Metetra 1 g .3272 .59183 .33847 .60302 .35597 .60661 .3447 .59587 Metetra 1 g .3447 .59587 .35597 .60661 .37329 .61896 .3618 .61293 Metetra 1 g .3618 .61293 .37329 .61896 .39167 .61307 .3801 .61148 Metetra 1 g .3801 .61148 .39167 .61307 .41018 .60735 .39865 .60789 Metetra 1 g .39865 .60789 .41018 .60735 .42841 .61571 .41697 .61642 Metetra 1 g .41697 .61642 .42841 .61571 .44669 .63425 .43535 .6336 Metetra 1 g .43535 .6336 .44669 .63425 .4654 .65217 .45418 .64906 Metetra 1 g .45418 .64906 .4654 .65217 .48463 .66165 .47354 .65572 Metetra 1 g .47354 .65572 .48463 .66165 .50423 .66227 .49326 .65405 Metetra 1 g .49326 .65405 .50423 .66227 .52406 .65739 .5132 .64786 Metetra 1 g .5132 .64786 .52406 .65739 .54403 .64962 .53328 .63985 Metetra 1 g .53328 .63985 .54403 .64962 .56411 .64021 .55349 .63113 Metetra 1 g .55349 .63113 .56411 .64021 .58428 .63034 .57381 .62252 Metetra 1 g .57381 .62252 .58428 .63034 .6046 .6217 .59429 .61527 Metetra 1 g .59429 .61527 .6046 .6217 .62512 .61595 .61498 .61058 Metetra 1 g .61498 .61058 .62512 .61595 .64594 .61355 .63595 .60851 Metetra 1 g .63595 .60851 .64594 .61355 .66705 .61327 .65717 .60753 Metetra 1 g .65717 .60753 .66705 .61327 .68841 .61291 .67858 .60545 Metetra 1 g .67858 .60545 .68841 .61291 .70989 .61069 .70007 .60078 Metetra 1 g .70007 .60078 .70989 .61069 .73144 .60592 .72158 .59338 Metetra 1 g .72158 .59338 .73144 .60592 .753 .59865 .74311 .58386 Metetra 1 g .74311 .58386 .753 .59865 .77457 .58928 .76469 .57312 Metetra 1 g .76469 .57312 .77457 .58928 .79616 .57866 .78638 .56235 Metetra 1 g .78638 .56235 .79616 .57866 .81782 .56748 .80826 .55242 Metetra 1 g .80826 .55242 .81782 .56748 .83939 .55425 .8302 .54163 Metetra 1 g .8302 .54163 .83939 .55425 .86059 .53672 .85182 .52661 Metetra 1 g .85182 .52661 .86059 .53672 .88256 .52574 .87394 .51549 Metetra 1 g .87394 .51549 .88256 .52574 .90206 .49327 .89288 .47636 Metetra 1 g .29737 .59227 .30996 .58717 .3272 .59183 .316 .57704 Metetra 1 g .316 .57704 .3272 .59183 .3447 .59587 .33348 .58177 Metetra 1 g .33348 .58177 .3447 .59587 .3618 .61293 .35023 .60491 Metetra 1 g .35023 .60491 .3618 .61293 .3801 .61148 .36833 .60908 Metetra 1 g .36833 .60908 .3801 .61148 .39865 .60789 .38691 .60791 Metetra 1 g .38691 .60791 .39865 .60789 .41697 .61642 .40533 .61617 Metetra 1 g .40533 .61617 .41697 .61642 .43535 .6336 .42385 .63121 Metetra 1 g .42385 .63121 .43535 .6336 .45418 .64906 .44281 .64355 Metetra 1 g .44281 .64355 .45418 .64906 .47354 .65572 .4623 .64723 Metetra 1 g .4623 .64723 .47354 .65572 .49326 .65405 .48215 .64362 Metetra 1 g .48215 .64362 .49326 .65405 .5132 .64786 .50219 .63686 Metetra 1 g .50219 .63686 .5132 .64786 .53328 .63985 .52238 .62953 Metetra 1 g .52238 .62953 .53328 .63985 .55349 .63113 .54271 .62232 Metetra 1 g .54271 .62232 .55349 .63113 .57381 .62252 .56318 .61548 Metetra 1 g .56318 .61548 .57381 .62252 .59429 .61527 .58382 .6097 Metetra 1 g .58382 .6097 .59429 .61527 .61498 .61058 .60467 .60564 Metetra 1 g .60467 .60564 .61498 .61058 .63595 .60851 .62576 .60303 Metetra 1 g .62576 .60303 .63595 .60851 .65717 .60753 .64705 .60032 Metetra 1 g .64705 .60032 .65717 .60753 .67858 .60545 .66848 .5956 Metetra 1 g .66848 .5956 .67858 .60545 .70007 .60078 .68995 .58803 Metetra 1 g .68995 .58803 .70007 .60078 .72158 .59338 .71144 .57813 Metetra 1 g .71144 .57813 .72158 .59338 .74311 .58386 .73298 .56708 Metetra 1 g .73298 .56708 .74311 .58386 .76469 .57312 .75464 .55603 Metetra 1 g .75464 .55603 .76469 .57312 .78638 .56235 .77651 .5462 Metetra 1 g .77651 .5462 .78638 .56235 .80826 .55242 .79868 .53825 Metetra 1 g .79868 .53825 .80826 .55242 .8302 .54163 .82099 .52998 Metetra 1 g .82099 .52998 .8302 .54163 .85182 .52661 .84298 .517 Metetra 1 g .84298 .517 .85182 .52661 .87394 .51549 .86531 .50622 Metetra 1 g .86531 .50622 .87394 .51549 .89288 .47636 .88426 .46501 Metetra 1 g .28459 .59615 .29737 .59227 .316 .57704 .30479 .56062 Metetra 1 g .30479 .56062 .316 .57704 .33348 .58177 .32223 .56601 Metetra 1 g .32223 .56601 .33348 .58177 .35023 .60491 .33859 .59489 Metetra 1 g .33859 .59489 .35023 .60491 .36833 .60908 .35648 .60421 Metetra 1 g .35648 .60421 .36833 .60908 .38691 .60791 .37506 .60494 Metetra 1 g .37506 .60494 .38691 .60791 .40533 .61617 .39359 .61244 Metetra 1 g .39359 .61244 .40533 .61617 .42385 .63121 .41224 .62509 Metetra 1 g .41224 .62509 .42385 .63121 .44281 .64355 .43135 .63443 Metetra 1 g .43135 .63443 .44281 .64355 .4623 .64723 .45096 .63567 Metetra 1 g .45096 .63567 .4623 .64723 .48215 .64362 .47091 .63089 Metetra 1 g .47091 .63089 .48215 .64362 .50219 .63686 .49104 .62438 Metetra 1 g .49104 .62438 .50219 .63686 .52238 .62953 .51132 .61838 Metetra 1 g .51132 .61838 .52238 .62953 .54271 .62232 .53176 .61305 Metetra 1 g .53176 .61305 .54271 .62232 .56318 .61548 .55236 .60801 Metetra 1 g .55236 .60801 .56318 .61548 .58382 .6097 .57315 .60335 Metetra 1 g .57315 .60335 .58382 .6097 .60467 .60564 .59414 .5993 Metetra 1 g .59414 .5993 .60467 .60564 .62576 .60303 .61533 .59545 Metetra 1 g .61533 .59545 .62576 .60303 .64705 .60032 .63667 .59039 Metetra 1 g .63667 .59039 .64705 .60032 .66848 .5956 .6581 .58278 Metetra 1 g .6581 .58278 .66848 .5956 .68995 .58803 .67956 .57252 Metetra 1 g .67956 .57252 .68995 .58803 .71144 .57813 .70106 .56083 Metetra 1 g .70106 .56083 .71144 .57813 .73298 .56708 .72267 .54921 Metetra 1 g .72267 .54921 .73298 .56708 .75464 .55603 .74448 .53887 Metetra 1 g .74448 .53887 .75464 .55603 .77651 .5462 .76659 .53075 Metetra 1 g .76659 .53075 .77651 .5462 .79868 .53825 .78906 .525 Metetra 1 g .78906 .525 .79868 .53825 .82099 .52998 .81169 .51875 Metetra 1 g .81169 .51875 .82099 .52998 .84298 .517 .83396 .50693 Metetra 1 g .83396 .50693 .84298 .517 .86531 .50622 .85654 .49683 Metetra 1 g .85654 .49683 .86531 .50622 .88426 .46501 .87602 .45807 Metetra 1 g .27187 .59572 .28459 .59615 .30479 .56062 .29337 .54552 Metetra 1 g .29337 .54552 .30479 .56062 .32223 .56601 .31079 .55129 Metetra 1 g .31079 .55129 .32223 .56601 .33859 .59489 .32685 .58378 Metetra 1 g .32685 .58378 .33859 .59489 .35648 .60421 .34459 .59608 Metetra 1 g .34459 .59608 .35648 .60421 .37506 .60494 .36322 .59748 Metetra 1 g .36322 .59748 .37506 .60494 .39359 .61244 .38185 .60388 Metetra 1 g .38185 .60388 .39359 .61244 .41224 .62509 .40061 .61454 Metetra 1 g .40061 .61454 .41224 .62509 .43135 .63443 .41981 .62188 Metetra 1 g .41981 .62188 .43135 .63443 .45096 .63567 .43952 .62188 Metetra 1 g .43952 .62188 .45096 .63567 .47091 .63089 .45954 .617 Metetra 1 g .45954 .617 .47091 .63089 .49104 .62438 .47974 .61139 Metetra 1 g .47974 .61139 .49104 .62438 .51132 .61838 .5001 .60692 Metetra 1 g .5001 .60692 .51132 .61838 .53176 .61305 .52063 .60325 Metetra 1 g .52063 .60325 .53176 .61305 .55236 .60801 .54136 .59948 Metetra 1 g .54136 .59948 .55236 .60801 .57315 .60335 .56228 .59527 Metetra 1 g .56228 .59527 .57315 .60335 .59414 .5993 .58338 .59063 Metetra 1 g .58338 .59063 .59414 .5993 .61533 .59545 .60466 .58515 Metetra 1 g .60466 .58515 .61533 .59545 .63667 .59039 .62605 .57779 Metetra 1 g .62605 .57779 .63667 .59039 .6581 .58278 .64751 .56779 Metetra 1 g .64751 .56779 .6581 .58278 .67956 .57252 .66899 .55572 Metetra 1 g .66899 .55572 .67956 .57252 .70106 .56083 .69056 .54324 Metetra 1 g .69056 .54324 .70106 .56083 .72267 .54921 .7123 .53201 Metetra 1 g .7123 .53201 .72267 .54921 .74448 .53887 .73431 .52305 Metetra 1 g .73431 .52305 .74448 .53887 .76659 .53075 .75667 .51684 Metetra 1 g .75667 .51684 .76659 .53075 .78906 .525 .77941 .51297 Metetra 1 g .77941 .51297 .78906 .525 .81169 .51875 .80228 .50787 Metetra 1 g .80228 .50787 .81169 .51875 .83396 .50693 .82474 .49621 Metetra 1 g .82474 .49621 .83396 .50693 .85654 .49683 .84757 .4869 Metetra 1 g .84757 .4869 .85654 .49683 .87602 .45807 .86788 .45343 Metetra 1 g .25936 .58955 .27187 .59572 .29337 .54552 .28149 .53459 Metetra 1 g .28149 .53459 .29337 .54552 .31079 .55129 .29895 .54022 Metetra 1 g .29895 .54022 .31079 .55129 .32685 .58378 .31491 .57317 Metetra 1 g .31491 .57317 .32685 .58378 .34459 .59608 .33268 .58525 Metetra 1 g .33268 .58525 .34459 .59608 .36322 .59748 .3514 .58574 Metetra 1 g .3514 .58574 .36322 .59748 .38185 .60388 .37012 .59098 Metetra 1 g .37012 .59098 .38185 .60388 .40061 .61454 .38894 .60064 Metetra 1 g .38894 .60064 .40061 .61454 .41981 .62188 .40818 .60752 Metetra 1 g .40818 .60752 .41981 .62188 .43952 .62188 .42793 .6078 Metetra 1 g .42793 .6078 .43952 .62188 .45954 .617 .44801 .60383 Metetra 1 g .44801 .60383 .45954 .617 .47974 .61139 .46828 .59947 Metetra 1 g .46828 .59947 .47974 .61139 .5001 .60692 .48871 .59624 Metetra 1 g .48871 .59624 .5001 .60692 .52063 .60325 .50934 .59351 Metetra 1 g .50934 .59351 .52063 .60325 .54136 .59948 .53018 .59011 Metetra 1 g .53018 .59011 .54136 .59948 .56228 .59527 .55121 .58555 Metetra 1 g .55121 .58555 .56228 .59527 .58338 .59063 .57242 .57986 Metetra 1 g .57242 .57986 .58338 .59063 .60466 .58515 .59378 .57285 Metetra 1 g .59378 .57285 .60466 .58515 .62605 .57779 .61524 .56384 Metetra 1 g .61524 .56384 .62605 .57779 .64751 .56779 .63677 .55253 Metetra 1 g .63677 .55253 .64751 .56779 .66899 .55572 .65835 .53985 Metetra 1 g .65835 .53985 .66899 .55572 .69056 .54324 .68005 .52764 Metetra 1 g .68005 .52764 .69056 .54324 .7123 .53201 .70197 .51745 Metetra 1 g .70197 .51745 .7123 .53201 .73431 .52305 .72419 .50999 Metetra 1 g .72419 .50999 .73431 .52305 .75667 .51684 .74679 .50534 Metetra 1 g .74679 .50534 .75667 .51684 .77941 .51297 .76976 .50257 Metetra 1 g .76976 .50257 .77941 .51297 .80228 .50787 .7928 .49767 Metetra 1 g .7928 .49767 .80228 .50787 .82474 .49621 .81538 .48542 Metetra 1 g .81538 .48542 .82474 .49621 .84757 .4869 .83844 .4767 Metetra 1 g .83844 .4767 .84757 .4869 .86788 .45343 .85959 .44879 Metetra 1 g .2471 .57792 .25936 .58955 .28149 .53459 .26901 .52909 Metetra 1 g .26901 .52909 .28149 .53459 .29895 .54022 .28658 .53407 Metetra 1 g .28658 .53407 .29895 .54022 .31491 .57317 .30268 .56425 Metetra 1 g .30268 .56425 .31491 .57317 .33268 .58525 .32068 .57293 Metetra 1 g .32068 .57293 .33268 .58525 .3514 .58574 .33959 .57107 Metetra 1 g .33959 .57107 .3514 .58574 .37012 .59098 .35838 .57532 Metetra 1 g .35838 .57532 .37012 .59098 .38894 .60064 .37719 .58517 Metetra 1 g .37719 .58517 .38894 .60064 .40818 .60752 .3964 .5932 Metetra 1 g .3964 .5932 .40818 .60752 .42793 .6078 .41615 .59512 Metetra 1 g .41615 .59512 .42793 .6078 .44801 .60383 .43626 .59274 Metetra 1 g .43626 .59274 .44801 .60383 .46828 .59947 .4566 .58957 Metetra 1 g .4566 .58957 .46828 .59947 .48871 .59624 .47713 .58694 Metetra 1 g .47713 .58694 .48871 .59624 .50934 .59351 .49787 .58417 Metetra 1 g .49787 .58417 .50934 .59351 .53018 .59011 .51882 .58015 Metetra 1 g .51882 .58015 .53018 .59011 .55121 .58555 .53996 .57454 Metetra 1 g .53996 .57454 .55121 .58555 .57242 .57986 .56127 .56765 Metetra 1 g .56127 .56765 .57242 .57986 .59378 .57285 .58272 .55958 Metetra 1 g .58272 .55958 .59378 .57285 .61524 .56384 .60429 .54993 Metetra 1 g .60429 .54993 .61524 .56384 .63677 .55253 .62594 .53858 Metetra 1 g .62594 .53858 .63677 .55253 .65835 .53985 .64768 .52649 Metetra 1 g .64768 .52649 .65835 .53985 .68005 .52764 .66956 .51533 Metetra 1 g .66956 .51533 .68005 .52764 .70197 .51745 .69169 .50639 Metetra 1 g .69169 .50639 .70197 .51745 .72419 .50999 .71413 .50008 Metetra 1 g .71413 .50008 .72419 .50999 .74679 .50534 .73693 .4962 Metetra 1 g .73693 .4962 .74679 .50534 .76976 .50257 .76006 .49357 Metetra 1 g .76006 .49357 .76976 .50257 .7928 .49767 .78322 .48807 Metetra 1 g .78322 .48807 .7928 .49767 .81538 .48542 .8059 .47481 Metetra 1 g .8059 .47481 .81538 .48542 .83844 .4767 .82915 .46629 Metetra 1 g .82915 .46629 .83844 .4767 .85959 .44879 .85091 .44193 Metetra 1 g .23503 .56219 .2471 .57792 .26901 .52909 .25593 .5282 Metetra 1 g .25593 .5282 .26901 .52909 .28658 .53407 .27366 .53215 Metetra 1 g .27366 .53215 .28658 .53407 .30268 .56425 .29011 .55718 Metetra 1 g .29011 .55718 .30268 .56425 .32068 .57293 .30854 .5602 Metetra 1 g .30854 .5602 .32068 .57293 .33959 .57107 .3277 .55511 Metetra 1 g .3277 .55511 .33959 .57107 .35838 .57532 .34655 .55866 Metetra 1 g .34655 .55866 .35838 .57532 .37719 .58517 .36529 .56968 Metetra 1 g .36529 .56968 .37719 .58517 .3964 .5932 .38442 .57997 Metetra 1 g .38442 .57997 .3964 .5932 .41615 .59512 .40413 .58428 Metetra 1 g .40413 .58428 .41615 .59512 .43626 .59274 .42428 .58366 Metetra 1 g .42428 .58366 .43626 .59274 .4566 .58957 .4447 .58125 Metetra 1 g .4447 .58125 .4566 .58957 .47713 .58694 .46534 .57841 Metetra 1 g .46534 .57841 .47713 .58694 .49787 .58417 .4862 .57464 Metetra 1 g .4862 .57464 .49787 .58417 .51882 .58015 .50728 .56919 Metetra 1 g .50728 .56919 .51882 .58015 .53996 .57454 .52853 .56213 Metetra 1 g .52853 .56213 .53996 .57454 .56127 .56765 .54994 .55417 Metetra 1 g .54994 .55417 .56127 .56765 .58272 .55958 .57151 .54572 Metetra 1 g .57151 .54572 .58272 .55958 .60429 .54993 .5932 .53649 Metetra 1 g .5932 .53649 .60429 .54993 .62594 .53858 .61501 .52625 Metetra 1 g .61501 .52625 .62594 .53858 .64768 .52649 .63695 .51563 Metetra 1 g .63695 .51563 .64768 .52649 .66956 .51533 .65905 .50589 Metetra 1 g .65905 .50589 .66956 .51533 .69169 .50639 .68138 .49797 Metetra 1 g .68138 .49797 .69169 .50639 .71413 .50008 .70401 .4921 Metetra 1 g .70401 .4921 .71413 .50008 .73693 .4962 .72696 .48799 Metetra 1 g .72696 .48799 .73693 .4962 .76006 .49357 .7502 .48456 Metetra 1 g .7502 .48456 .76006 .49357 .78322 .48807 .77344 .47789 Metetra 1 g .77344 .47789 .78322 .48807 .8059 .47481 .79621 .46357 Metetra 1 g .79621 .46357 .8059 .47481 .82915 .46629 .81961 .4548 Metetra 1 g .81961 .4548 .82915 .46629 .85091 .44193 .84161 .43075 Metetra 1 g .223 .54455 .23503 .56219 .25593 .5282 .24239 .5294 Metetra 1 g .24239 .5294 .25593 .5282 .27366 .53215 .26031 .53226 Metetra 1 g .26031 .53226 .27366 .53215 .29011 .55718 .27724 .55133 Metetra 1 g .27724 .55133 .29011 .55718 .30854 .5602 .29618 .54805 Metetra 1 g .29618 .54805 .30854 .5602 .3277 .55511 .31564 .53966 Metetra 1 g .31564 .53966 .3277 .55511 .34655 .55866 .33453 .54282 Metetra 1 g .33453 .54282 .34655 .55866 .36529 .56968 .35318 .55544 Metetra 1 g .35318 .55544 .36529 .56968 .38442 .57997 .3722 .56824 Metetra 1 g .3722 .56824 .38442 .57997 .40413 .58428 .39187 .57484 Metetra 1 g .39187 .57484 .40413 .58428 .42428 .58366 .41206 .57548 Metetra 1 g .41206 .57548 .42428 .58366 .4447 .58125 .43259 .57311 Metetra 1 g .43259 .57311 .4447 .58125 .46534 .57841 .45337 .56925 Metetra 1 g .45337 .56925 .46534 .57841 .4862 .57464 .47437 .5638 Metetra 1 g .47437 .5638 .4862 .57464 .50728 .56919 .49557 .5565 Metetra 1 g .49557 .5565 .50728 .56919 .52853 .56213 .51694 .54798 Metetra 1 g .51694 .54798 .52853 .56213 .54994 .55417 .53845 .53936 Metetra 1 g .53845 .53936 .54994 .55417 .57151 .54572 .56013 .53124 Metetra 1 g .56013 .53124 .57151 .54572 .5932 .53649 .58196 .52329 Metetra 1 g .58196 .52329 .5932 .53649 .61501 .52625 .60395 .51487 Metetra 1 g .60395 .51487 .61501 .52625 .63695 .51563 .62609 .50607 Metetra 1 g .62609 .50607 .63695 .51563 .65905 .50589 .6484 .49763 Metetra 1 g .6484 .49763 .65905 .50589 .68138 .49797 .67093 .49017 Metetra 1 g .67093 .49017 .68138 .49797 .70401 .4921 .6937 .48383 Metetra 1 g .6937 .48383 .70401 .4921 .72696 .48799 .71674 .47853 Metetra 1 g .71674 .47853 .72696 .48799 .7502 .48456 .74003 .47354 Metetra 1 g .74003 .47354 .7502 .48456 .77344 .47789 .76332 .46542 Metetra 1 g .76332 .46542 .77344 .47789 .79621 .46357 .7862 .45022 Metetra 1 g .7862 .45022 .79621 .46357 .81961 .4548 .80969 .44076 Metetra 1 g .80969 .44076 .81961 .4548 .84161 .43075 .83161 .41388 Metetra 1 g .21071 .52819 .223 .54455 .24239 .5294 .22864 .52966 Metetra 1 g .22864 .52966 .24239 .5294 .26031 .53226 .24673 .53179 Metetra 1 g .24673 .53179 .26031 .53226 .27724 .55133 .26407 .54614 Metetra 1 g .26407 .54614 .27724 .55133 .29618 .54805 .2835 .5379 Metetra 1 g .2835 .5379 .29618 .54805 .31564 .53966 .30322 .52703 Metetra 1 g .30322 .52703 .31564 .53966 .33453 .54282 .32216 .53007 Metetra 1 g .32216 .53007 .33453 .54282 .35318 .55544 .34074 .54399 Metetra 1 g .34074 .54399 .35318 .55544 .3722 .56824 .35969 .55851 Metetra 1 g .35969 .55851 .3722 .56824 .39187 .57484 .37936 .56631 Metetra 1 g .37936 .56631 .39187 .57484 .41206 .57548 .39964 .56712 Metetra 1 g .39964 .56712 .41206 .57548 .43259 .57311 .4203 .56386 Metetra 1 g .4203 .56386 .43259 .57311 .45337 .56925 .44123 .55837 Metetra 1 g .44123 .55837 .45337 .56925 .47437 .5638 .46238 .55098 Metetra 1 g .46238 .55098 .47437 .5638 .49557 .5565 .48371 .54196 Metetra 1 g .48371 .54196 .49557 .5565 .51694 .54798 .50519 .5324 Metetra 1 g .50519 .5324 .51694 .54798 .53845 .53936 .52681 .5237 Metetra 1 g .52681 .5237 .53845 .53936 .56013 .53124 .54859 .51651 Metetra 1 g .54859 .51651 .56013 .53124 .58196 .52329 .57056 .51024 Metetra 1 g .57056 .51024 .58196 .52329 .60395 .51487 .59272 .50375 Metetra 1 g .59272 .50375 .60395 .51487 .62609 .50607 .61505 .49651 Metetra 1 g .61505 .49651 .62609 .50607 .6484 .49763 .63754 .48877 Metetra 1 g .63754 .48877 .6484 .49763 .67093 .49017 .66022 .48096 Metetra 1 g .66022 .48096 .67093 .49017 .6937 .48383 .68309 .47331 Metetra 1 g .68309 .47331 .6937 .48383 .71674 .47853 .70618 .46609 Metetra 1 g .70618 .46609 .71674 .47853 .74003 .47354 .72948 .45907 Metetra 1 g .72948 .45907 .74003 .47354 .76332 .46542 .75279 .44946 Metetra 1 g .75279 .44946 .76332 .46542 .7862 .45022 .77578 .43362 Metetra 1 g .77578 .43362 .7862 .45022 .80969 .44076 .79932 .42318 Metetra 1 g .79932 .42318 .80969 .44076 .83161 .41388 .82096 .39158 Metetra 1 g .19777 .51675 .21071 .52819 .22864 .52966 .21495 .52631 Metetra 1 g .21495 .52631 .22864 .52966 .24673 .53179 .23312 .52856 Metetra 1 g .23312 .52856 .24673 .53179 .26407 .54614 .25061 .54158 Metetra 1 g .25061 .54158 .26407 .54614 .2835 .5379 .2703 .53162 Metetra 1 g .2703 .53162 .2835 .5379 .30322 .52703 .29022 .51987 Metetra 1 g .29022 .51987 .30322 .52703 .32216 .53007 .30924 .52289 Metetra 1 g .30924 .52289 .32216 .53007 .34074 .54399 .32783 .53711 Metetra 1 g .32783 .53711 .34074 .54399 .35969 .55851 .34682 .55161 Metetra 1 g .34682 .55161 .35969 .55851 .37936 .56631 .36659 .55866 Metetra 1 g .36659 .55866 .37936 .56631 .39964 .56712 .38703 .55803 Metetra 1 g .38703 .55803 .39964 .56712 .4203 .56386 .40787 .5529 Metetra 1 g .40787 .5529 .4203 .56386 .44123 .55837 .42896 .54546 Metetra 1 g .42896 .54546 .44123 .55837 .46238 .55098 .45026 .53641 Metetra 1 g .45026 .53641 .46238 .55098 .48371 .54196 .47171 .52632 Metetra 1 g .47171 .52632 .48371 .54196 .50519 .5324 .49329 .51649 Metetra 1 g .49329 .51649 .50519 .5324 .52681 .5237 .51501 .50836 Metetra 1 g .51501 .50836 .52681 .5237 .54859 .51651 .53689 .50243 Metetra 1 g .53689 .50243 .54859 .51651 .57056 .51024 .55899 .49773 Metetra 1 g .55899 .49773 .57056 .51024 .59272 .50375 .5813 .49263 Metetra 1 g .5813 .49263 .59272 .50375 .61505 .49651 .60379 .48608 Metetra 1 g .60379 .48608 .61505 .49651 .63754 .48877 .62643 .47809 Metetra 1 g .62643 .47809 .63754 .48877 .66022 .48096 .64921 .46905 Metetra 1 g .64921 .46905 .66022 .48096 .68309 .47331 .67214 .45944 Metetra 1 g .67214 .45944 .68309 .47331 .70618 .46609 .69524 .44993 Metetra 1 g .69524 .44993 .70618 .46609 .72948 .45907 .71853 .4408 Metetra 1 g .71853 .4408 .72948 .45907 .75279 .44946 .74187 .4298 Metetra 1 g .74187 .4298 .75279 .44946 .77578 .43362 .76495 .41346 Metetra 1 g .76495 .41346 .77578 .43362 .79932 .42318 .78851 .40193 Metetra 1 g .78851 .40193 .79932 .42318 .82096 .39158 .80988 .36572 Metetra 1 g .18378 .51312 .19777 .51675 .21495 .52631 .20157 .51716 Metetra 1 g .20157 .51716 .21495 .52631 .23312 .52856 .21967 .52075 Metetra 1 g .21967 .52075 .23312 .52856 .25061 .54158 .23684 .53751 Metetra 1 g .23684 .53751 .25061 .54158 .2703 .53162 .25642 .53052 Metetra 1 g .25642 .53052 .2703 .53162 .29022 .51987 .27642 .51998 Metetra 1 g .27642 .51998 .29022 .51987 .30924 .52289 .29556 .52289 Metetra 1 g .29556 .52289 .30924 .52289 .32783 .53711 .31432 .53575 Metetra 1 g .31432 .53575 .32783 .53711 .34682 .55161 .33353 .54765 Metetra 1 g .33353 .54765 .34682 .55161 .36659 .55866 .35357 .55137 Metetra 1 g .35357 .55137 .36659 .55866 .38703 .55803 .37427 .54739 Metetra 1 g .37427 .54739 .38703 .55803 .40787 .5529 .39533 .5395 Metetra 1 g .39533 .5395 .40787 .5529 .42896 .54546 .41659 .53016 Metetra 1 g .41659 .53016 .42896 .54546 .45026 .53641 .438 .52016 Metetra 1 g .438 .52016 .45026 .53641 .47171 .52632 .45955 .51006 Metetra 1 g .45955 .51006 .47171 .52632 .49329 .51649 .48123 .50097 Metetra 1 g .48123 .50097 .49329 .51649 .51501 .50836 .50303 .49404 Metetra 1 g .50303 .49404 .51501 .50836 .53689 .50243 .52503 .48938 Metetra 1 g .52503 .48938 .53689 .50243 .55899 .49773 .54724 .48561 Metetra 1 g .54724 .48561 .55899 .49773 .5813 .49263 .56968 .48076 Metetra 1 g .56968 .48076 .5813 .49263 .60379 .48608 .5923 .4736 Metetra 1 g .5923 .4736 .60379 .48608 .62643 .47809 .61504 .46417 Metetra 1 g .61504 .46417 .62643 .47809 .64921 .46905 .63789 .45313 Metetra 1 g .63789 .45313 .64921 .46905 .67214 .45944 .66084 .44125 Metetra 1 g .66084 .44125 .67214 .45944 .69524 .44993 .68394 .42952 Metetra 1 g .68394 .42952 .69524 .44993 .71853 .4408 .70722 .41853 Metetra 1 g .70722 .41853 .71853 .4408 .74187 .4298 .73057 .40629 Metetra 1 g .73057 .40629 .74187 .4298 .76495 .41346 .75371 .38937 Metetra 1 g .75371 .38937 .76495 .41346 .78851 .40193 .77728 .37684 Metetra 1 g .77728 .37684 .78851 .40193 .80988 .36572 .7986 .33834 Metetra 1 g .16862 .51755 .18378 .51312 .20157 .51716 .18881 .50007 Metetra 1 g .18881 .50007 .20157 .51716 .21967 .52075 .20664 .50633 Metetra 1 g .20664 .50633 .21967 .52075 .23684 .53751 .22289 .53236 Metetra 1 g .22289 .53236 .23684 .53751 .25642 .53052 .24188 .5335 Metetra 1 g .24188 .5335 .25642 .53052 .27642 .51998 .2618 .52637 Metetra 1 g .2618 .52637 .27642 .51998 .29556 .52289 .28114 .52874 Metetra 1 g .28114 .52874 .29556 .52289 .31432 .53575 .30026 .53803 Metetra 1 g .30026 .53803 .31432 .53575 .33353 .54765 .31993 .5443 Metetra 1 g .31993 .5443 .33353 .54765 .35357 .55137 .34044 .54185 Metetra 1 g .34044 .54185 .35357 .55137 .37427 .54739 .3615 .5327 Metetra 1 g .3615 .5327 .37427 .54739 .39533 .5395 .3828 .5214 Metetra 1 g .3828 .5214 .39533 .5395 .41659 .53016 .4042 .51054 Metetra 1 g .4042 .51054 .41659 .53016 .438 .52016 .42569 .50064 Metetra 1 g .42569 .50064 .438 .52016 .45955 .51006 .44728 .49177 Metetra 1 g .44728 .49177 .45955 .51006 .48123 .50097 .46901 .48443 Metetra 1 g .46901 .48443 .48123 .50097 .50303 .49404 .49089 .47912 Metetra 1 g .49089 .47912 .50303 .49404 .52503 .48938 .51298 .4754 Metetra 1 g .51298 .4754 .52503 .48938 .54724 .48561 .5353 .47151 Metetra 1 g .5353 .47151 .54724 .48561 .56968 .48076 .55784 .46541 Metetra 1 g .55784 .46541 .56968 .48076 .5923 .4736 .58053 .45614 Metetra 1 g .58053 .45614 .5923 .4736 .61504 .46417 .60332 .44418 Metetra 1 g .60332 .44418 .61504 .46417 .63789 .45313 .62618 .43063 Metetra 1 g .62618 .43063 .63789 .45313 .66084 .44125 .64914 .41659 Metetra 1 g .64914 .41659 .66084 .44125 .68394 .42952 .67223 .40314 Metetra 1 g .67223 .40314 .68394 .42952 .70722 .41853 .6955 .39081 Metetra 1 g .6955 .39081 .70722 .41853 .73057 .40629 .71884 .37748 Metetra 1 g .71884 .37748 .73057 .40629 .75371 .38937 .74198 .35972 Metetra 1 g .74198 .35972 .75371 .38937 .77728 .37684 .76554 .34649 Metetra 1 g .76554 .34649 .77728 .37684 .7986 .33834 .78716 .30996 Metetra 1 g .15261 .52614 .16862 .51755 .18881 .50007 .17688 .47411 Metetra 1 g .17688 .47411 .18881 .50007 .20664 .50633 .19427 .48387 Metetra 1 g .19427 .48387 .20664 .50633 .22289 .53236 .20908 .52307 Metetra 1 g .20908 .52307 .22289 .53236 .24188 .5335 .22703 .53616 Metetra 1 g .22703 .53616 .24188 .5335 .2618 .52637 .2467 .53385 Metetra 1 g .2467 .53385 .2618 .52637 .28114 .52874 .26632 .53485 Metetra 1 g .26632 .53485 .28114 .52874 .30026 .53803 .28601 .53833 Metetra 1 g .28601 .53833 .30026 .53803 .31993 .5443 .30637 .53626 Metetra 1 g .30637 .53626 .31993 .5443 .34044 .54185 .32749 .52549 Metetra 1 g .32749 .52549 .34044 .54185 .3615 .5327 .34898 .51007 Metetra 1 g .34898 .51007 .3615 .5327 .3828 .5214 .37051 .49528 Metetra 1 g .37051 .49528 .3828 .5214 .4042 .51054 .39197 .48354 Metetra 1 g .39197 .48354 .4042 .51054 .42569 .50064 .41345 .47476 Metetra 1 g .41345 .47476 .42569 .50064 .44728 .49177 .43501 .46816 Metetra 1 g .43501 .46816 .44728 .49177 .46901 .48443 .45673 .46323 Metetra 1 g .45673 .46323 .46901 .48443 .49089 .47912 .47864 .45958 Metetra 1 g .47864 .45958 .49089 .47912 .51298 .4754 .50079 .45611 Metetra 1 g .50079 .45611 .51298 .4754 .5353 .47151 .52318 .45087 Metetra 1 g .52318 .45087 .5353 .47151 .55784 .46541 .54576 .4421 Metetra 1 g .54576 .4421 .55784 .46541 .58053 .45614 .56847 .42952 Metetra 1 g .56847 .42952 .58053 .45614 .60332 .44418 .59125 .41441 Metetra 1 g .59125 .41441 .60332 .44418 .62618 .43063 .61408 .39841 Metetra 1 g .61408 .39841 .62618 .43063 .64914 .41659 .637 .38281 Metetra 1 g .637 .38281 .64914 .41659 .67223 .40314 .66006 .36849 Metetra 1 g .66006 .36849 .67223 .40314 .6955 .39081 .6833 .35548 Metetra 1 g .6833 .35548 .6955 .39081 .71884 .37748 .70658 .34123 Metetra 1 g .70658 .34123 .71884 .37748 .74198 .35972 .72965 .32233 Metetra 1 g .72965 .32233 .74198 .35972 .76554 .34649 .75318 .30882 Metetra 1 g .75318 .30882 .76554 .34649 .78716 .30996 .77546 .27932 Metetra 1 g .13645 .53257 .15261 .52614 .17688 .47411 .1654 .44341 Metetra 1 g .1654 .44341 .17688 .47411 .19427 .48387 .18232 .45652 Metetra 1 g .18232 .45652 .19427 .48387 .20908 .52307 .19556 .50867 Metetra 1 g .19556 .50867 .20908 .52307 .22703 .53616 .21232 .53363 Metetra 1 g .21232 .53363 .22703 .53616 .2467 .53385 .23173 .53564 Metetra 1 g .23173 .53564 .2467 .53385 .26632 .53485 .25169 .53421 Metetra 1 g .25169 .53421 .26632 .53485 .28601 .53833 .27205 .53064 Metetra 1 g .27205 .53064 .28601 .53833 .30637 .53626 .29318 .51939 Metetra 1 g .29318 .51939 .30637 .53626 .32749 .52549 .31495 .50014 Metetra 1 g .31495 .50014 .32749 .52549 .34898 .51007 .33685 .47885 Metetra 1 g .33685 .47885 .34898 .51007 .37051 .49528 .35854 .46125 Metetra 1 g .35854 .46125 .37051 .49528 .39197 .48354 .38 .44932 Metetra 1 g .38 .44932 .39197 .48354 .41345 .47476 .40138 .44219 Metetra 1 g .40138 .44219 .41345 .47476 .43501 .46816 .42284 .43806 Metetra 1 g .42284 .43806 .43501 .46816 .45673 .46323 .44448 .43539 Metetra 1 g .44448 .43539 .45673 .46323 .47864 .45958 .46637 .43285 Metetra 1 g .46637 .43285 .47864 .45958 .50079 .45611 .48854 .42882 Metetra 1 g .48854 .42882 .50079 .45611 .52318 .45087 .51095 .42134 Metetra 1 g .51095 .42134 .52318 .45087 .54576 .4421 .53355 .40923 Metetra 1 g .53355 .40923 .54576 .4421 .56847 .42952 .55623 .39314 Metetra 1 g .55623 .39314 .56847 .42952 .59125 .41441 .57894 .37517 Metetra 1 g .57894 .37517 .59125 .41441 .61408 .39841 .6017 .35742 Metetra 1 g .6017 .35742 .61408 .39841 .637 .38281 .62456 .34118 Metetra 1 g .62456 .34118 .637 .38281 .66006 .36849 .64758 .32688 Metetra 1 g .64758 .32688 .66006 .36849 .6833 .35548 .67076 .31381 Metetra 1 g .67076 .31381 .6833 .35548 .70658 .34123 .69395 .29877 Metetra 1 g .69395 .29877 .70658 .34123 .72965 .32233 .7169 .27859 Metetra 1 g .7169 .27859 .72965 .32233 .75318 .30882 .74037 .26519 Metetra 1 g .74037 .26519 .75318 .30882 .77546 .27932 .7635 .24617 Metetra 1 g .12058 .5335 .13645 .53257 .1654 .44341 .15308 .41946 Metetra 1 g .15308 .41946 .1654 .44341 .18232 .45652 .16965 .43475 Metetra 1 g .16965 .43475 .18232 .45652 .19556 .50867 .18177 .4949 Metetra 1 g .18177 .4949 .19556 .50867 .21232 .53363 .19777 .52647 Metetra 1 g .19777 .52647 .21232 .53363 .23173 .53564 .21713 .52975 Metetra 1 g .21713 .52975 .23173 .53564 .25169 .53421 .2375 .52498 Metetra 1 g .2375 .52498 .25169 .53421 .27205 .53064 .25849 .51515 Metetra 1 g .25849 .51515 .27205 .53064 .29318 .51939 .28027 .49671 Metetra 1 g .28027 .49671 .29318 .51939 .31495 .50014 .30255 .47141 Metetra 1 g .30255 .47141 .31495 .50014 .33685 .47885 .32476 .44631 Metetra 1 g .32476 .44631 .33685 .47885 .35854 .46125 .34655 .42713 Metetra 1 g .34655 .42713 .35854 .46125 .38 .44932 .36799 .41536 Metetra 1 g .36799 .41536 .38 .44932 .40138 .44219 .38928 .40945 Metetra 1 g .38928 .40945 .40138 .44219 .42284 .43806 .41064 .40687 Metetra 1 g .41064 .40687 .42284 .43806 .44448 .43539 .43222 .40533 Metetra 1 g .43222 .40533 .44448 .43539 .46637 .43285 .45409 .4029 Metetra 1 g .45409 .4029 .46637 .43285 .48854 .42882 .47626 .39769 Metetra 1 g .47626 .39769 .48854 .42882 .51095 .42134 .49869 .38796 Metetra 1 g .49869 .38796 .51095 .42134 .53355 .40923 .52129 .3731 Metetra 1 g .52129 .3731 .53355 .40923 .55623 .39314 .54395 .35452 Metetra 1 g .54395 .35452 .55623 .39314 .57894 .37517 .56662 .33487 Metetra 1 g .56662 .33487 .57894 .37517 .6017 .35742 .58935 .31645 Metetra 1 g .58935 .31645 .6017 .35742 .62456 .34118 .61218 .30035 Metetra 1 g .61218 .30035 .62456 .34118 .64758 .32688 .63517 .28653 Metetra 1 g .63517 .28653 .64758 .32688 .67076 .31381 .65831 .27358 Metetra 1 g .65831 .27358 .67076 .31381 .69395 .29877 .68143 .25781 Metetra 1 g .68143 .25781 .69395 .29877 .7169 .27859 .70428 .23642 Metetra 1 g .70428 .23642 .7169 .27859 .74037 .26519 .72771 .22321 Metetra 1 g .72771 .22321 .74037 .26519 .7635 .24617 .75159 .21404 Metetra 1 g .10496 .52967 .12058 .5335 .15308 .41946 .13797 .41695 Metetra 1 g .13797 .41695 .15308 .41946 .16965 .43475 .15452 .43256 Metetra 1 g .15452 .43256 .16965 .43475 .18177 .4949 .16653 .49191 Metetra 1 g .16653 .49191 .18177 .4949 .19777 .52647 .18284 .52019 Metetra 1 g .18284 .52019 .19777 .52647 .21713 .52975 .2027 .51928 Metetra 1 g .2027 .51928 .21713 .52975 .2375 .52498 .22354 .51055 Metetra 1 g .22354 .51055 .2375 .52498 .25849 .51515 .24492 .49731 Metetra 1 g .24492 .49731 .25849 .51515 .28027 .49671 .26703 .47631 Metetra 1 g .26703 .47631 .28027 .49671 .30255 .47141 .28956 .44945 Metetra 1 g .28956 .44945 .30255 .47141 .32476 .44631 .31194 .42363 Metetra 1 g .31194 .42363 .32476 .44631 .34655 .42713 .33385 .40421 Metetra 1 g .33385 .40421 .34655 .42713 .36799 .41536 .35535 .39233 Metetra 1 g .35535 .39233 .36799 .41536 .38928 .40945 .37668 .38622 Metetra 1 g .37668 .38622 .38928 .40945 .41064 .40687 .39808 .38319 Metetra 1 g .39808 .38319 .41064 .40687 .43222 .40533 .4197 .38085 Metetra 1 g .4197 .38085 .43222 .40533 .45409 .4029 .44162 .3773 Metetra 1 g .44162 .3773 .45409 .4029 .47626 .39769 .46384 .37076 Metetra 1 g .46384 .37076 .47626 .39769 .49869 .38796 .48632 .35974 Metetra 1 g .48632 .35974 .49869 .38796 .52129 .3731 .50898 .34392 Metetra 1 g .50898 .34392 .52129 .3731 .54395 .35452 .5317 .32487 Metetra 1 g .5317 .32487 .54395 .35452 .56662 .33487 .55444 .30524 Metetra 1 g .55444 .30524 .56662 .33487 .58935 .31645 .57722 .28717 Metetra 1 g .57722 .28717 .58935 .31645 .61218 .30035 .60012 .27151 Metetra 1 g .60012 .27151 .61218 .30035 .63517 .28653 .62317 .25792 Metetra 1 g .62317 .25792 .63517 .28653 .65831 .27358 .64635 .24472 Metetra 1 g .64635 .24472 .65831 .27358 .68143 .25781 .66949 .22812 Metetra 1 g .66949 .22812 .68143 .25781 .70428 .23642 .69236 .20575 Metetra 1 g .69236 .20575 .70428 .23642 .72771 .22321 .71582 .19239 Metetra 1 g .71582 .19239 .72771 .22321 .75159 .21404 .74007 .18763 Metetra 1 g .09036 .51597 .10496 .52967 .13797 .41695 .11847 .4454 Metetra 1 g .11847 .4454 .13797 .41695 .15452 .43256 .13557 .45836 Metetra 1 g .13557 .45836 .15452 .43256 .16653 .49191 .14926 .50329 Metetra 1 g .14926 .50329 .16653 .49191 .18284 .52019 .16765 .51353 Metetra 1 g .16765 .51353 .18284 .52019 .2027 .51928 .18886 .50084 Metetra 1 g .18886 .50084 .2027 .51928 .22354 .51055 .21018 .48783 Metetra 1 g .21018 .48783 .22354 .51055 .24492 .49731 .23151 .47577 Metetra 1 g .23151 .47577 .24492 .49731 .26703 .47631 .25335 .45905 Metetra 1 g .25335 .45905 .26703 .47631 .28956 .44945 .27567 .43701 Metetra 1 g .27567 .43701 .28956 .44945 .31194 .42363 .29799 .41459 Metetra 1 g .29799 .41459 .31194 .42363 .33385 .40421 .32 .39637 Metetra 1 g .32 .39637 .33385 .40421 .35535 .39233 .34172 .38355 Metetra 1 g .34172 .38355 .35535 .39233 .37668 .38622 .36332 .37485 Metetra 1 g .36332 .37485 .37668 .38622 .39808 .38319 .38499 .36835 Metetra 1 g .38499 .36835 .39808 .38319 .4197 .38085 .40683 .36258 Metetra 1 g .40683 .36258 .4197 .38085 .44162 .3773 .42889 .35648 Metetra 1 g .42889 .35648 .44162 .3773 .46384 .37076 .4512 .3489 Metetra 1 g .4512 .3489 .46384 .37076 .48632 .35974 .47375 .3385 Metetra 1 g .47375 .3385 .48632 .35974 .50898 .34392 .4965 .32463 Metetra 1 g .4965 .32463 .50898 .34392 .5317 .32487 .51935 .30808 Metetra 1 g .51935 .30808 .5317 .32487 .55444 .30524 .54227 .29066 Metetra 1 g .54227 .29066 .55444 .30524 .57722 .28717 .56525 .27393 Metetra 1 g .56525 .27393 .57722 .28717 .60012 .27151 .58834 .25852 Metetra 1 g .58834 .25852 .60012 .27151 .62317 .25792 .61154 .24426 Metetra 1 g .61154 .24426 .62317 .25792 .64635 .24472 .63486 .22998 Metetra 1 g .63486 .22998 .64635 .24472 .66949 .22812 .65815 .21256 Metetra 1 g .65815 .21256 .66949 .22812 .69236 .20575 .68121 .18999 Metetra 1 g .68121 .18999 .69236 .20575 .71582 .19239 .70479 .17577 Metetra 1 g .70479 .17577 .71582 .19239 .74007 .18763 .72875 .16512 Metetra 1 g .08001 .4707 .09036 .51597 .11847 .4454 .0961 .49021 Metetra 1 g .0961 .49021 .11847 .4454 .13557 .45836 .11448 .4957 Metetra 1 g .11448 .4957 .13557 .45836 .14926 .50329 .13236 .50775 Metetra 1 g .13236 .50775 .14926 .50329 .16765 .51353 .15487 .48373 Metetra 1 g .15487 .48373 .16765 .51353 .18886 .50084 .17812 .45266 Metetra 1 g .17812 .45266 .18886 .50084 .21018 .48783 .19972 .43607 Metetra 1 g .19972 .43607 .21018 .48783 .23151 .47577 .22028 .43052 Metetra 1 g .22028 .43052 .23151 .47577 .25335 .45905 .24095 .42576 Metetra 1 g .24095 .42576 .25335 .45905 .27567 .43701 .26227 .41586 Metetra 1 g .26227 .41586 .27567 .43701 .29799 .41459 .28406 .40176 Metetra 1 g .28406 .40176 .29799 .41459 .32 .39637 .30602 .38656 Metetra 1 g .30602 .38656 .32 .39637 .34172 .38355 .32801 .37191 Metetra 1 g .32801 .37191 .34172 .38355 .36332 .37485 .35004 .35794 Metetra 1 g .35004 .35794 .36332 .37485 .38499 .36835 .37213 .34472 Metetra 1 g .37213 .34472 .38499 .36835 .40683 .36258 .39427 .33285 Metetra 1 g .39427 .33285 .40683 .36258 .42889 .35648 .41646 .32299 Metetra 1 g .41646 .32299 .42889 .35648 .4512 .3489 .43876 .31504 Metetra 1 g .43876 .31504 .4512 .3489 .47375 .3385 .46124 .30771 Metetra 1 g .46124 .30771 .47375 .3385 .4965 .32463 .48394 .29929 Metetra 1 g .48394 .29929 .4965 .32463 .51935 .30808 .50684 .28875 Metetra 1 g .50684 .28875 .51935 .30808 .54227 .29066 .52991 .27608 Metetra 1 g .52991 .27608 .54227 .29066 .56525 .27393 .55309 .26175 Metetra 1 g .55309 .26175 .56525 .27393 .58834 .25852 .57636 .2463 Metetra 1 g .57636 .2463 .58834 .25852 .61154 .24426 .59972 .23039 Metetra 1 g .59972 .23039 .61154 .24426 .63486 .22998 .62316 .2144 Metetra 1 g .62316 .2144 .63486 .22998 .65815 .21256 .64663 .19694 Metetra 1 g .64663 .19694 .65815 .21256 .68121 .18999 .67 .17626 Metetra 1 g .67 .17626 .68121 .18999 .70479 .17577 .69368 .1606 Metetra 1 g .69368 .1606 .70479 .17577 .72875 .16512 .71651 .13118 Metetra 1 g .07446 .39345 .08001 .4707 .0961 .49021 .07685 .50668 Metetra 1 g .07685 .50668 .0961 .49021 .11448 .4957 .09681 .50192 Metetra 1 g .09681 .50192 .11448 .4957 .13236 .50775 .11968 .47599 Metetra 1 g .11968 .47599 .13236 .50775 .15487 .48373 .14636 .41853 Metetra 1 g .14636 .41853 .15487 .48373 .17812 .45266 .17124 .37242 Metetra 1 g .17124 .37242 .17812 .45266 .19972 .43607 .19267 .35461 Metetra 1 g .19267 .35461 .19972 .43607 .22028 .43052 .21206 .35689 Metetra 1 g .21206 .35689 .22028 .43052 .24095 .42576 .23115 .36516 Metetra 1 g .23115 .36516 .24095 .42576 .26227 .41586 .25106 .36864 Metetra 1 g .25106 .36864 .26227 .41586 .28406 .40176 .27197 .36398 Metetra 1 g .27197 .36398 .28406 .40176 .30602 .38656 .29361 .35251 Metetra 1 g .29361 .35251 .30602 .38656 .32801 .37191 .31571 .33629 Metetra 1 g .31571 .33629 .32801 .37191 .35004 .35794 .33805 .31717 Metetra 1 g .33805 .31717 .35004 .35794 .37213 .34472 .36044 .29743 Metetra 1 g .36044 .29743 .37213 .34472 .39427 .33285 .38274 .27984 Metetra 1 g .38274 .27984 .39427 .33285 .41646 .32299 .40491 .26678 Metetra 1 g .40491 .26678 .41646 .32299 .43876 .31504 .42701 .25905 Metetra 1 g .42701 .25905 .43876 .31504 .46124 .30771 .4492 .25538 Metetra 1 g .4492 .25538 .46124 .30771 .48394 .29929 .47163 .25296 Metetra 1 g .47163 .25296 .48394 .29929 .50684 .28875 .49437 .24887 Metetra 1 g .49437 .24887 .50684 .28875 .52991 .27608 .51738 .2412 Metetra 1 g .51738 .2412 .52991 .27608 .55309 .26175 .54058 .22932 Metetra 1 g .54058 .22932 .55309 .26175 .57636 .2463 .56388 .21382 Metetra 1 g .56388 .21382 .57636 .2463 .59972 .23039 .58724 .19645 Metetra 1 g .58724 .19645 .59972 .23039 .62316 .2144 .61068 .17946 Metetra 1 g .61068 .17946 .62316 .2144 .64663 .19694 .63423 .16355 Metetra 1 g .63423 .16355 .64663 .19694 .67 .17626 .65785 .14701 Metetra 1 g .65785 .14701 .67 .17626 .69368 .1606 .68154 .13035 Metetra 1 g .68154 .13035 .69368 .1606 .71651 .13118 .70301 .07843 Metetra 1 g .06217 .36328 .07446 .39345 .07685 .50668 .061 .49606 Metetra 1 g .061 .49606 .07685 .50668 .09681 .50192 .08165 .48693 Metetra 1 g .08165 .48693 .09681 .50192 .11968 .47599 .1061 .45051 Metetra 1 g .1061 .45051 .11968 .47599 .14636 .41853 .13407 .38512 Metetra 1 g .13407 .38512 .14636 .41853 .17124 .37242 .15948 .33601 Metetra 1 g .15948 .33601 .17124 .37242 .19267 .35461 .18088 .31836 Metetra 1 g .18088 .31836 .19267 .35461 .21206 .35689 .19992 .3228 Metetra 1 g .19992 .3228 .21206 .35689 .23115 .36516 .21854 .33448 Metetra 1 g .21854 .33448 .23115 .36516 .25106 .36864 .23803 .34155 Metetra 1 g .23803 .34155 .25106 .36864 .27197 .36398 .25869 .3396 Metetra 1 g .25869 .3396 .27197 .36398 .29361 .35251 .28027 .32945 Metetra 1 g .28027 .32945 .29361 .35251 .31571 .33629 .30245 .31324 Metetra 1 g .30245 .31324 .31571 .33629 .33805 .31717 .32495 .29322 Metetra 1 g .32495 .29322 .33805 .31717 .36044 .29743 .34752 .27217 Metetra 1 g .34752 .27217 .36044 .29743 .38274 .27984 .36996 .25336 Metetra 1 g .36996 .25336 .38274 .27984 .40491 .26678 .39222 .23948 Metetra 1 g .39222 .23948 .40491 .26678 .42701 .25905 .41434 .23151 Metetra 1 g .41434 .23151 .42701 .25905 .4492 .25538 .43653 .22814 Metetra 1 g .43653 .22814 .4492 .25538 .47163 .25296 .45895 .22636 Metetra 1 g .45895 .22636 .47163 .25296 .49437 .24887 .4817 .22292 Metetra 1 g .4817 .22292 .49437 .24887 .51738 .2412 .50475 .21564 Metetra 1 g .50475 .21564 .51738 .2412 .54058 .22932 .52802 .2038 Metetra 1 g .52802 .2038 .54058 .22932 .56388 .21382 .55141 .18819 Metetra 1 g .55141 .18819 .56388 .21382 .58724 .19645 .57487 .171 Metetra 1 g .57487 .171 .58724 .19645 .61068 .17946 .59844 .15506 Metetra 1 g .59844 .15506 .61068 .17946 .63423 .16355 .62218 .14156 Metetra 1 g .62218 .14156 .63423 .16355 .65785 .14701 .64607 .12815 Metetra 1 g .64607 .12815 .65785 .14701 .68154 .13035 .66994 .11158 Metetra 1 g .66994 .11158 .68154 .13035 .70301 .07843 .6911 .04981 Metetra 1 g .02494 .49015 .06217 .36328 .061 .49606 .0666 .34266 Metetra 1 g .0666 .34266 .061 .49606 .08165 .48693 .0837 .35252 Metetra 1 g .0837 .35252 .08165 .48693 .1061 .45051 .09443 .41049 Metetra 1 g .09443 .41049 .1061 .45051 .13407 .38512 .11039 .43669 Metetra 1 g .11039 .43669 .13407 .38512 .15948 .33601 .13101 .43094 Metetra 1 g .13101 .43094 .15948 .33601 .18088 .31836 .15305 .41512 Metetra 1 g .15305 .41512 .18088 .31836 .19992 .3228 .1757 .39437 Metetra 1 g .1757 .39437 .19992 .3228 .21854 .33448 .19898 .36787 Metetra 1 g .19898 .36787 .21854 .33448 .23803 .34155 .22241 .33903 Metetra 1 g .22241 .33903 .23803 .34155 .25869 .3396 .24533 .31448 Metetra 1 g .24533 .31448 .25869 .3396 .28027 .32945 .26747 .29839 Metetra 1 g .26747 .29839 .28027 .32945 .30245 .31324 .289 .29063 Metetra 1 g .289 .29063 .30245 .31324 .32495 .29322 .31033 .28822 Metetra 1 g .31033 .28822 .32495 .29322 .34752 .27217 .33183 .28734 Metetra 1 g .33183 .28734 .34752 .27217 .36996 .25336 .35374 .28457 Metetra 1 g .35374 .28457 .36996 .25336 .39222 .23948 .37613 .27748 Metetra 1 g .37613 .27748 .39222 .23948 .41434 .23151 .39899 .26453 Metetra 1 g .39899 .26453 .41434 .23151 .43653 .22814 .4222 .24532 Metetra 1 g .4222 .24532 .43653 .22814 .45895 .22636 .44557 .22135 Metetra 1 g .44557 .22135 .45895 .22636 .4817 .22292 .46892 .19599 Metetra 1 g .46892 .19599 .4817 .22292 .50475 .21564 .49219 .17308 Metetra 1 g .49219 .17308 .50475 .21564 .52802 .2038 .51541 .15514 Metetra 1 g .51541 .15514 .52802 .2038 .55141 .18819 .53872 .14278 Metetra 1 g .53872 .14278 .55141 .18819 .57487 .171 .56224 .13494 Metetra 1 g .56224 .13494 .57487 .171 .59844 .15506 .58603 .12896 Metetra 1 g .58603 .12896 .59844 .15506 .62218 .14156 .61 .11979 Metetra 1 g .61 .11979 .62218 .14156 .64607 .12815 .63389 .10332 Metetra 1 g .63389 .10332 .64607 .12815 .66994 .11158 .65816 .09258 Metetra 1 g .65816 .09258 .66994 .11158 .6911 .04981 .68314 .0906 Metetra P p .002 w .67932 .02494 m .94594 .43277 L s .94594 .43277 m .97506 .64585 L s .97506 .64585 m .69286 .25814 L s .69286 .25814 m .67932 .02494 L s .06024 .26735 m .02494 .49015 L s .02494 .49015 m .69286 .25814 L s .69286 .25814 m .67932 .02494 L s .67932 .02494 m .06024 .26735 L s P p p .002 w .06024 .26735 m .67932 .02494 L s P p .002 w .23656 .19831 m .24084 .20285 L s P [(10)] .22802 .18923 .94132 1 Mshowa p .002 w .44845 .11534 m .45233 .12021 L s P [(20)] .44067 .10559 .79753 1 Mshowa p .002 w .67932 .02494 m .68274 .03015 L s P [(30)] .6725 .0145 .65374 1 Mshowa p .001 w .27753 .18226 m .28005 .18503 L s P p .001 w .31919 .16595 m .32167 .16876 L s P p .001 w .36155 .14937 m .36398 .15221 L s P p .001 w .40463 .1325 m .40701 .13538 L s P p .001 w .49302 .09789 m .4953 .10085 L s P p .001 w .53838 .08013 m .5406 .08313 L s P p .001 w .58453 .06205 m .5867 .0651 L s P p .001 w .63151 .04366 m .63362 .04675 L s P p .001 w .19626 .21409 m .19887 .21677 L s P p .001 w .15661 .22961 m .15926 .23226 L s P p .001 w .1176 .24489 m .12028 .2475 L s P p .001 w .07921 .25992 m .08193 .26249 L s P P p p .002 w .67932 .02494 m .94594 .43277 L s P p .002 w .77481 .171 m .76894 .1731 L s P [(10)] .78655 .1668 -1 .35807 Mshowa p .002 w .8665 .31124 m .86057 .31318 L s P [(20)] .87835 .30737 -1 .32699 Mshowa p .002 w .94594 .43277 m .93997 .43456 L s P [(30)] .95788 .42917 -1 .30087 Mshowa p .001 w .79426 .20075 m .79073 .20199 L s P p .001 w .81313 .22961 m .80959 .23083 L s P p .001 w .83144 .25762 m .8279 .25882 L s P p .001 w .84922 .28482 m .84567 .286 L s P p .001 w .88328 .33692 m .87972 .33806 L s P p .001 w .8996 .36188 m .89603 .36301 L s P p .001 w .91547 .38616 m .9119 .38727 L s P p .001 w .93091 .40978 m .92733 .41087 L s P p .001 w .75476 .14032 m .75124 .1416 L s P p .001 w .73406 .10866 m .73055 .10997 L s P p .001 w .7127 .07598 m .7092 .07731 L s P p .001 w .69063 .04223 m .68714 .04358 L s P P p p .002 w .06024 .26735 m .02494 .49015 L s P p .002 w .06024 .26735 m .06605 .26508 L s P [(0.5)] .04863 .27189 1 -0.39157 Mshowa p .002 w .05359 .30935 m .05941 .30712 L s P [(0.6)] .04194 .31381 1 -0.38329 Mshowa p .002 w .04674 .35257 m .05257 .35038 L s P [(0.7)] .03506 .35695 1 -0.37474 Mshowa p .002 w .03968 .39707 m .04554 .39493 L s P [(0.8)] .02798 .40136 1 -0.36591 Mshowa p .002 w .03242 .44291 m .03829 .44082 L s P [(0.9)] .02068 .4471 1 -0.35679 Mshowa p .002 w .02494 .49015 m .03082 .4881 L s P [(1)] .01316 .49424 1 -0.34736 Mshowa p .001 w .05893 .27565 m .06241 .27429 L s P p .001 w .0576 .284 m .06109 .28265 L s P p .001 w .05627 .2924 m .05976 .29106 L s P p .001 w .05493 .30085 m .05842 .29951 L s P p .001 w .05223 .31789 m .05573 .31656 L s P p .001 w .05087 .32649 m .05437 .32516 L s P p .001 w .0495 .33513 m .053 .33381 L s P p .001 w .04812 .34383 m .05162 .34251 L s P p .001 w .04534 .36137 m .04885 .36006 L s P p .001 w .04394 .37022 m .04745 .36891 L s P p .001 w .04253 .37912 m .04604 .37782 L s P p .001 w .04111 .38807 m .04462 .38678 L s P p .001 w .03825 .40613 m .04176 .40485 L s P p .001 w .03681 .41524 m .04032 .41397 L s P p .001 w .03535 .42441 m .03887 .42314 L s P p .001 w .03389 .43363 m .03741 .43237 L s P p .001 w .03094 .45224 m .03447 .45099 L s P p .001 w .02945 .46163 m .03298 .46039 L s P p .001 w .02796 .47108 m .03149 .46984 L s P p .001 w .02645 .48058 m .02998 .47935 L s P P % End of Graphics MathPictureEnd :[font = subsection; inactive; Cclosed; preserveAspect; startGroup; ] Goodness-of-fit test of the smoothed estimate of the covariance function :[font = text; inactive; preserveAspect; ] This test is based on the method described in Appendix B of Kirkpatrick et al. (1990) (the full reference for which is given at the beginning of the notebook). The resulting chi squared value is a test statistic for the goodness-of-fit of the smoothed covariance function resulting (from a reduced fit) to the original data matrix. A significant value indicates that the smoothed fit is NOT consistent with the original data. :[font = subsubsection; inactive; Cclosed; preserveAspect; startGroup; ] Calculations :[font = input; preserveAspect; endGroup; ] If[ (kPolys < nAges), (i1 = 1; (* We have a reduced fit *) Do[ Do[ smoothVec[[i1]] = smoothMat[[i2, i3]]; i1 = i1+1, {i2, i3, nAges} ], {i3, 1, nAges} ]; chiSq = Chop[(mVec - smoothVec) . vInv . (mVec - smoothVec)] ), chiSq = 0 (* We have a full fit *) ]; :[font = subsubsection; inactive; preserveAspect; startGroup; ] Result :[font = text; inactive; preserveAspect; ] The following chi squared value is to be compared against a standard table of critical values: :[font = input; preserveAspect; startGroup; ] chiSq :[font = output; output; inactive; preserveAspect; endGroup; ] 36.38459189434624204 ;[o] 36.3846 :[font = text; inactive; preserveAspect; ] The relevant degrees of freedom for the test are: :[font = input; preserveAspect; startGroup; ] df = nAges(nAges + 1)/2 - kPolys(kPolys + 1)/2 :[font = output; output; inactive; preserveAspect; endGroup; endGroup; endGroup; ] 10 ;[o] 10 :[font = subsection; inactive; Cclosed; preserveAspect; startGroup; ] Eigenfunctions and eigenvalues of the covariance function :[font = text; inactive; preserveAspect; ] These are calculated analytically from the coefficient matrix. See Kirkpatrick et al. 1990. :[font = subsubsection; inactive; Cclosed; preserveAspect; startGroup; ] Calculations :[font = input; preserveAspect; ] eigens = Eigensystem[cMat]; eVal = eigens[[1]]//N; eVecsTemp = eigens[[2]]//N; :[font = text; inactive; preserveAspect; ] Sort the eigenvalues by size, and re-order the eigenvectors: :[font = input; preserveAspect; startGroup; ] lambda = Sort[eVal, Greater]; eVec = Table[0, {i, kPolys}]; Do[ Do[ If[ eVal[[j]] == lambda[[i]], eVec[[i]] = eVecsTemp[[j]] ], {j, 1, kPolys} ], {i, 1, kPolys} ] :[font = message; inactive; preserveAspect; endGroup; ] General::spell: Possible spelling error: new symbol name "eVec" is similar to existing symbols {cVec, mVec}. :[font = text; inactive; preserveAspect; ] Normalize the eigenvectors (which some versions of Mathematica don't do automatically): ;[s] 3:0,0;51,1;62,2;89,-1; 3:1,11,8,Times,0,12,0,0,0;1,10,8,Times,2,12,0,0,0;1,11,8,Times,0,12,0,0,0; :[font = input; preserveAspect; ] Do[ eVec[[i]] = eVec[[i]] / Sqrt[ Sum[eVec[[i,j]]^2, {j, kPolys}] ], {i, kPolys} ] :[font = input; preserveAspect; startGroup; ] Chop[eVec] :[font = output; output; inactive; preserveAspect; endGroup; ] {{-0.995372277940288032, -0.01870389513962250066, 0.08740876761274303042, -0.006264747886253282148, 0.02145741163439241752, 0.009731847691302238178, -0.008057607326894814406, -0.02408567736220569752, -0.002116277284763628665}, {-0.0361423844213359107, 0.9393829541343313466, -0.2083159193266134944, 0.00436484152126601916, 0.171059960481400275, -0.1881056289578258655, -0.01599715341070380815, 0.08903719875473837385, -0.00317017963928510227}, {-0.03441694013422952383, 0.04057138290038763058, -0.4465299675592990627, 0.4111750346903577065, -0.2253261417507661393, 0.2088646209288588298, 0.2602181703541636261, -0.5727288857415683333, 0.3722732105093411805}, {-0.0524690012085960764, 0.004523758835098848015, -0.3594452713674122413, -0.3033693788486314472, -0.5691833686378903858, 0.01160582682381940926, 0.4973646109392703212, 0.3002337587888298193, -0.3381957833937244999}, {-0.005126235528400849214, 0.04937892554913080812, 0.1902118165472683391, 0.02122421884512704909, -0.2990761140859307446, -0.009995950196561647723, 0.0326477574003121681, 0.5081322676627225721, 0.7823641877416936505}, {0.01271252828228180579, 0.2438536230997510536, 0.1741235088715850029, -0.05223316494073858803, -0.5113200577564691797, 0.5570613623568263342, -0.5486322728226640262, -0.1025106508338576935, -0.1550971793826435454}, {-0.03333242276243351253, -0.1298130390354474673, -0.2262566564776975551, 0.514888919243019143, -0.3304412045081355358, -0.565769246629541206, -0.427452167050664775, 0.1581910397759277238, -0.1694368923204507444}, {-0.0305168421349038157, -0.08366800302534646676, -0.3387187106729196606, 0.4175359362304324043, 0.3421936310113028486, 0.5380926657505675048, -0.02009849529018553054, 0.5285830149054688176, -0.1286763902717933289}, {0.04195258958813961135, 0.1725940342621513988, 0.6228581692538610799, 0.5442592982470896254, -0.1354765584648659328, 0.02658195977326604817, 0.446555217385945429, 0.0142241772443693482, -0.2561374805793141466}} ;[o] {{-0.995372, -0.0187039, 0.0874088, -0.00626475, 0.0214574, 0.00973185, -0.00805761, -0.0240857, -0.00211628}, {-0.0361424, 0.939383, -0.208316, 0.00436484, 0.17106, -0.188106, -0.0159972, 0.0890372, -0.00317018}, {-0.0344169, 0.0405714, -0.44653, 0.411175, -0.225326, 0.208865, 0.260218, -0.572729, 0.372273}, {-0.052469, 0.00452376, -0.359445, -0.303369, -0.569183, 0.0116058, 0.497365, 0.300234, -0.338196}, {-0.00512624, 0.0493789, 0.190212, 0.0212242, -0.299076, -0.00999595, 0.0326478, 0.508132, 0.782364}, {0.0127125, 0.243854, 0.174124, -0.0522332, -0.51132, 0.557061, -0.548632, -0.102511, -0.155097}, {-0.0333324, -0.129813, -0.226257, 0.514889, -0.330441, -0.565769, -0.427452, 0.158191, -0.169437}, {-0.0305168, -0.083668, -0.338719, 0.417536, 0.342194, 0.538093, -0.0200985, 0.528583, -0.128676}, {0.0419526, 0.172594, 0.622858, 0.544259, -0.135477, 0.026582, 0.446555, 0.0142242, -0.256137}} :[font = text; inactive; preserveAspect; ] Compute the first three eigenfunctions: NOTE that the following is based on the range of the Legendre polynomials, [-1, 1]. If orthogonal functions defined over a different range are used, then the value "2" in the square roots must be replaced by (Maximum argument - Minimum argument) for those functions. :[font = input; preserveAspect; ] Clear[eigenFunc1, eigenFunc2, eigenFunc3, i, t]; eigenFunc1[t_] := Release[ Simplify[Sqrt[2.0/ageRange] * Sum[ eVec[[1,i]] legPoly[i-1, aStar[t]], {i, 1, kPolys} ] ] ] eigenFunc2[t_] := Release[ Simplify[Sqrt[2.0/ageRange] * Sum[ eVec[[2,i]] legPoly[i-1, aStar[t]], {i, 1, kPolys} ] ] ] eigenFunc3[t_] := Release[ Simplify[Sqrt[2.0/ageRange] * Sum[ eVec[[3,i]] legPoly[i-1, aStar[t]], {i, 1, kPolys} ] ] ] :[font = text; inactive; preserveAspect; ] Renormalize the eigenvalues to accomodate the range of the coordinate vector: NOTE that the following is based on the range of the Legendre polynomials, [-1, 1]. If orthogonal functions defined over a different range are used, then the value "2" must be replaced by (Maximum argument - Minimum argument) for those functions. :[font = input; preserveAspect; ] lambda = lambda ageRange / 2.0; :[font = input; preserveAspect; ] eigenSum = Sum[lambda[[i]], {i, kPolys}]; :[font = text; inactive; preserveAspect; ] Calculate the "squeezed" eigenvalues: :[font = input; preserveAspect; startGroup; ] lambdaMean = Sum[ lambda[[i]], {i, kPolys} ] / kPolys :[font = output; output; inactive; preserveAspect; endGroup; ] 307.6829637728355703 ;[o] 307.683 :[font = input; preserveAspect; startGroup; ] squeezeFactor = lambdaMean / (lambdaMean - lambda[[kPolys]]) :[font = output; output; inactive; preserveAspect; endGroup; ] 0.9999115317747462726 ;[o] 0.999912 :[font = input; preserveAspect; ] squeezedLambda = Chop[ Table[lambdaMean + (lambda[[i]]- lambdaMean) squeezeFactor, {i, kPolys}] ]; :[font = input; preserveAspect; endGroup; ] squeezedEigenSum = Sum[squeezedLambda[[i]], {i, kPolys}]; :[font = subsubsection; inactive; Cclosed; preserveAspect; startGroup; ] Results: The eigenvalues :[font = text; inactive; preserveAspect; ] NOTE that the eigenvalues and eigenvectors are normalized here using a criterion different than that in Kirkpatrick et al. (1990) and Kirkpatrick and Lofsvold (1992). (The discrepancy involves a multiplicative constant. In this package the eigenfunctions have norm unity when integrated over the range of the coordinate vector. In the earlier publications, the integration was over the range of the orthogonal functions.) :[font = text; inactive; preserveAspect; ] The eigenvalues are: :[font = input; preserveAspect; startGroup; ] lambda :[font = output; output; inactive; preserveAspect; endGroup; ] {2503.855027728476681, 160.9259449642556727, 70.9409422580015197, 22.42601539926786887, 10.14433791610194147, 0.8593389685639191046, 0.02417310590330538252, -0.001883810972170838138, -0.02722257407860526965} ;[o] {2503.86, 160.926, 70.9409, 22.426, 10.1443, 0.859339, 0.0241731, -0.00188381, -0.0272226} :[font = text; inactive; preserveAspect; ] The fraction of all variation that these eigenvalues account for: :[font = input; preserveAspect; startGroup; ] varFrac = Chop[ Table[lambda[[i]] / eigenSum, {i,kPolys}] ] :[font = output; output; inactive; preserveAspect; endGroup; ] {0.9041973295520334214, 0.05811391158070544724, 0.02561834045311426508, 0.00809852927264194832, 0.003663344383853640012, 0.0003103262736662544788, 8.729442225166028512*10^-6, -(6.802857320229824551*10^-7), -(9.830672508119566895*10^-6)} ;[o] {0.904197, 0.0581139, 0.0256183, 0.00809853, 0.00366334, -6 -7 -6 0.000310326, 8.72944 10 , -6.80286 10 , -9.83067 10 } :[font = text; inactive; preserveAspect; ] A plot of the eigenvalues: :[font = input; preserveAspect; startGroup; ] ListPlot[lambda, PlotJoined->True, AxesOrigin->{0,0}] :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 294; pictureHeight = 166; ] %! 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See Kirkpatrick and Lofsvold (1992) Evolution. :[font = text; inactive; preserveAspect; ] The "squeezed" eigenvalues: :[font = input; preserveAspect; startGroup; ] squeezedLambda :[font = output; output; inactive; preserveAspect; endGroup; ] {2503.66073628362671, 160.9389282972531957, 70.96188640448791684, 22.45125157523177259, 10.17066063027591952, 0.8864831101162685967, 0.05139113309731693779, 0.02533652143103226617, 0} ;[o] {2503.66, 160.939, 70.9619, 22.4513, 10.1707, 0.886483, 0.0513911, 0.0253365, 0} :[font = text; inactive; preserveAspect; ] The fraction of all variation that these eigenvalues account for: :[font = input; preserveAspect; startGroup; ] squeezedVarFrac = Chop[ Table[squeezedLambda[[i]] / squeezedEigenSum, {i,kPolys}] ] :[font = output; output; inactive; preserveAspect; endGroup; ] {0.904127166621814763, 0.05811860014889131991, 0.02562590384680640201, 0.008107642612936002053, 0.003672850097083476988, 0.0003201286224575433506, 0.00001855847275287463383, 9.149577257618112776*10^-6, 0} ;[o] {0.904127, 0.0581186, 0.0256259, 0.00810764, 0.00367285, -6 0.000320129, 0.0000185585, 9.14958 10 , 0} :[font = input; preserveAspect; startGroup; ] eigenSum :[font = output; output; inactive; preserveAspect; endGroup; endGroup; ] 2769.146673955520132 ;[o] 2769.15 :[font = subsubsection; inactive; Cclosed; preserveAspect; startGroup; ] Results: The first eigenfunction :[font = text; inactive; preserveAspect; ] The first eigenvalue is: :[font = input; preserveAspect; startGroup; ] lambda[[1]] :[font = output; output; inactive; preserveAspect; endGroup; ] 2503.855027728476681 ;[o] 2503.86 :[font = text; inactive; preserveAspect; ] Its associated eigenfunction is: :[font = input; preserveAspect; startGroup; ] eigenFunc1[t] :[font = output; output; inactive; preserveAspect; endGroup; ] 0.3213162015284260847 - 1.093623572759583009*t + 0.7992859467220304999*t^2 - 0.3028975793489203907*t^3 + 0.06047422921110502687*t^4 - 0.005824880032349825485*t^5 + 0.0001384919269211871589*t^6 + 0.0000159502196041000236*t^7 - 8.695894211866710642*10^-7*t^8 ;[o] 2 3 0.321316 - 1.09362 t + 0.799286 t - 0.302898 t + 4 5 6 0.0604742 t - 0.00582488 t + 0.000138492 t + 7 -7 8 0.0000159502 t - 8.69589 10 t :[font = text; inactive; preserveAspect; ] Plot of the first eigenfunction: :[font = input; preserveAspect; startGroup; ] Plot[ eigenFunc1[t], {t, ageVector[[1]], ageVector[[nAges]]} ] :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 282; pictureHeight = 174; ] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.0952381 1.49834 4.04776 [ [(2)] .21429 .28402 0 2 Msboxa [(4)] .40476 .28402 0 2 Msboxa [(6)] .59524 .28402 0 2 Msboxa [(8)] .78571 .28402 0 2 Msboxa [(10)] .97619 .28402 0 2 Msboxa [(-0.36)] .01131 .04115 1 0 Msboxa [(-0.34)] .01131 .12211 1 0 Msboxa [(-0.32)] .01131 .20306 1 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